%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SET042-4 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 05:23:03 EDT 2022 % Result : Timeout 299.97s 300.33s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.10 % Problem : SET042-4 : TPTP v8.1.0. Released v1.0.0. % 0.06/0.11 % Command : run_spass %d %s % 0.12/0.32 % Computer : n015.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sat Jul 9 23:59:22 EDT 2022 % 0.12/0.32 % CPUTime : % 299.97/300.33 % 299.97/300.33 SPASS V 3.9 % 299.97/300.33 SPASS beiseite: Ran out of time. % 299.97/300.33 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 299.97/300.33 SPASS derived 79555 clauses, backtracked 1174 clauses, performed 22 splits and kept 36987 clauses. % 299.97/300.33 SPASS allocated 181820 KBytes. % 299.97/300.33 SPASS spent 0:05:00.00 on the problem. % 299.97/300.33 0:00:00.03 for the input. % 299.97/300.33 0:00:00.00 for the FLOTTER CNF translation. % 299.97/300.33 0:00:01.55 for inferences. % 299.97/300.33 0:00:00.05 for the backtracking. % 299.97/300.33 0:4:56.12 for the reduction. % 299.97/300.33 % 299.97/300.33 % 299.97/300.33 The set of clauses at termination is : % 299.97/300.33 105469[16:Con:105460.1] || -> member(a,complement(singleton_set(complement(singleton_set(set_a)))))*. % 299.97/300.33 88898[16:Res:88628.0,70.0] || subset(complement(singleton_set(set_a)),u)* -> member(a,u). % 299.97/300.33 26698[0:Obv:26695.0] || member(u,apply(cross_product(v,w),x))* -> member(u,sigma(w)). % 299.97/300.33 104236[16:Res:104206.0,92502.1] || equal(complement(singleton_set(complement(singleton_set(set_b)))),a)** -> . % 299.97/300.33 104235[16:Res:104206.0,1197.0] || disjoint(complement(singleton_set(complement(singleton_set(set_b)))),set_a)* -> . % 299.97/300.33 104234[16:Res:104206.0,54989.0] || disjoint(complement(singleton_set(complement(singleton_set(set_b)))),infinity)* -> . % 299.97/300.33 104233[16:Res:104206.0,54995.0] || disjoint(complement(singleton_set(complement(singleton_set(set_b)))),set_b)* -> . % 299.97/300.33 18827[0:Res:384.1,32.0] little_set(u) || -> member(u,union(v,w))* member(u,complement(w)). % 299.97/300.33 104232[16:Res:104206.0,55636.1] || disjoint(universal_set,complement(singleton_set(complement(singleton_set(set_b)))))* -> . % 299.97/300.33 104839[16:Res:11550.1,104231.0] || subset(set_b,singleton_set(complement(singleton_set(set_b))))* -> . % 299.97/300.33 104231[16:Res:104206.0,98786.1] || disjoint(set_b,complement(singleton_set(complement(singleton_set(set_b)))))* -> . % 299.97/300.33 104528[16:Res:11550.1,104230.0] || subset(set_a,singleton_set(complement(singleton_set(set_b))))* -> . % 299.97/300.33 18826[0:Res:384.1,31.0] little_set(u) || -> member(u,union(v,w))* member(u,complement(v)). % 299.97/300.33 104230[16:Res:104206.0,101072.1] || disjoint(set_a,complement(singleton_set(complement(singleton_set(set_b)))))* -> . % 299.97/300.33 104495[16:Res:11550.1,104229.0] || subset(infinity,singleton_set(complement(singleton_set(set_b))))* -> . % 299.97/300.33 104229[16:Res:104206.0,102359.1] || disjoint(infinity,complement(singleton_set(complement(singleton_set(set_b)))))* -> . % 299.97/300.33 104267[16:Res:11437.1,104226.0] || subset(universal_set,singleton_set(complement(singleton_set(set_b))))* -> . % 299.97/300.33 17546[0:Rew:108.1,17508.1] || member(u,range_of(intersection(v,cross_product(w,x))))* -> member(u,x). % 299.97/300.33 104226[16:Res:104206.0,1238.0] || disjoint(complement(singleton_set(complement(singleton_set(set_b)))),universal_set)* -> . % 299.97/300.33 104228[16:Res:104206.0,34.1] || member(a,singleton_set(complement(singleton_set(set_b))))* -> . % 299.97/300.33 104206[16:Con:104197.1] || -> member(a,complement(singleton_set(complement(singleton_set(set_b)))))*. % 299.97/300.33 88875[16:Res:88627.0,70.0] || subset(complement(singleton_set(set_b)),u)* -> member(a,u). % 299.97/300.33 17439[0:Rew:108.1,17401.1] || member(u,range_of(intersection(cross_product(v,w),x)))* -> member(u,w). % 299.97/300.33 103412[16:Res:103383.0,92502.1] || equal(complement(singleton_set(complement(singleton_set(infinity)))),a)** -> . % 299.97/300.33 103411[16:Res:103383.0,1197.0] || disjoint(complement(singleton_set(complement(singleton_set(infinity)))),set_a)* -> . % 299.97/300.33 103410[16:Res:103383.0,54989.0] || disjoint(complement(singleton_set(complement(singleton_set(infinity)))),infinity)* -> . % 299.97/300.33 103409[16:Res:103383.0,54995.0] || disjoint(complement(singleton_set(complement(singleton_set(infinity)))),set_b)* -> . % 299.97/300.33 16416[0:Rew:39.1,16382.1] || member(u,domain_of(intersection(v,cross_product(w,x))))* -> member(u,w). % 299.97/300.33 103408[16:Res:103383.0,55636.1] || disjoint(universal_set,complement(singleton_set(complement(singleton_set(infinity)))))* -> . % 299.97/300.33 103725[16:Res:11550.1,103407.0] || subset(set_b,singleton_set(complement(singleton_set(infinity))))* -> . % 299.97/300.33 103407[16:Res:103383.0,98786.1] || disjoint(set_b,complement(singleton_set(complement(singleton_set(infinity)))))* -> . % 299.97/300.33 103508[16:Res:11550.1,103406.0] || subset(set_a,singleton_set(complement(singleton_set(infinity))))* -> . % 299.97/300.33 16184[0:Rew:39.1,16152.1] || member(u,domain_of(intersection(cross_product(v,w),x)))* -> member(u,v). % 299.97/300.33 103406[16:Res:103383.0,101072.1] || disjoint(set_a,complement(singleton_set(complement(singleton_set(infinity)))))* -> . % 299.97/300.33 103483[16:Res:11550.1,103405.0] || subset(infinity,singleton_set(complement(singleton_set(infinity))))* -> . % 299.97/300.33 103405[16:Res:103383.0,102359.1] || disjoint(infinity,complement(singleton_set(complement(singleton_set(infinity)))))* -> . % 299.97/300.33 103435[16:Res:11437.1,103402.0] || subset(universal_set,singleton_set(complement(singleton_set(infinity))))* -> . % 299.97/300.33 14154[0:Obv:14144.2] || member(u,v)* disjoint(sigma(v),w)*+ -> disjoint(w,u)*. % 299.97/300.33 103402[16:Res:103383.0,1238.0] || disjoint(complement(singleton_set(complement(singleton_set(infinity)))),universal_set)* -> . % 299.97/300.33 103404[16:Res:103383.0,34.1] || member(a,singleton_set(complement(singleton_set(infinity))))* -> . % 299.97/300.33 103383[16:Con:103376.1] || -> member(a,complement(singleton_set(complement(singleton_set(infinity)))))*. % 299.97/300.33 88855[16:Res:88616.0,70.0] || subset(complement(singleton_set(infinity)),u)* -> member(a,u). % 299.97/300.33 14153[0:Obv:14143.2] || member(u,v) disjoint(sigma(v),u)*+ -> disjoint(u,w)*. % 299.97/300.33 88615[16:Res:88372.0,39682.0] || -> member(a,complement(singleton_set(u)))* member(infinity,complement(u)). % 299.97/300.33 88503[16:Res:88372.0,20704.0] || -> member(a,complement(singleton_set(complement(u))))* member(infinity,u). % 299.97/300.33 88325[3:Res:13861.1,88259.0] || disjoint(u,singleton_set(infinity)) -> member(infinity,complement(u))*. % 299.97/300.33 88258[3:Res:88246.0,68.0] || member(singleton_set(infinity),u)* -> member(infinity,sigma(u)). % 299.97/300.33 14045[0:Obv:14036.2] || member(u,v) disjoint(sigma(v),u)*+ -> disjoint(w,u)*. % 299.97/300.33 103149[16:Res:91681.1,103095.0] || equal(complement(complement(singleton_set(infinity))),a)** -> . % 299.97/300.33 103095[3:Res:9144.0,88257.1] || member(infinity,complement(singleton_set(infinity)))* -> . % 299.97/300.33 103117[16:MRR:103112.1,55094.0] || member(infinity,powerset(a))* -> . % 299.97/300.33 103116[16:MRR:103110.1,92213.0] || member(infinity,infinity)* -> . % 299.97/300.33 14044[0:Obv:14035.2] || member(u,v)* disjoint(sigma(v),w)*+ -> disjoint(u,w)*. % 299.97/300.33 88257[3:Res:88246.0,98.0] || member(infinity,u) disjoint(u,singleton_set(infinity))* -> . % 299.97/300.33 88084[3:Res:82671.1,1238.0] || equal(infinity,u) disjoint(singleton_set(u),universal_set)* -> . % 299.97/300.33 103068[16:Res:11437.1,87921.0] || subset(set_a,singleton_set(u))* -> equal(u,a). % 299.97/300.33 87921[16:Res:83494.1,1197.0] || disjoint(complement(singleton_set(u)),set_a)* -> equal(u,a). % 299.97/300.33 13863[0:Obv:13857.2] || member(u,v) disjoint(sigma(v),u)*+ -> subset(u,w)*. % 299.97/300.33 87920[16:Res:83494.1,54989.0] || disjoint(complement(singleton_set(u)),infinity)* -> equal(u,a). % 299.97/300.33 103009[16:Res:11437.1,87919.0] || subset(set_b,singleton_set(u))* -> equal(u,a). % 299.97/300.33 87919[16:Res:83494.1,54995.0] || disjoint(complement(singleton_set(u)),set_b)* -> equal(u,a). % 299.97/300.33 87918[16:Res:83494.1,55636.1] || disjoint(universal_set,complement(singleton_set(u)))* -> equal(u,a). % 299.97/300.33 13693[0:Res:552.1,4.0] || -> subset(cross_product(u,v),w) little_set(first(f17(cross_product(u,v),w)))*. % 299.97/300.33 87915[16:Res:83494.1,1238.0] || disjoint(complement(singleton_set(u)),universal_set)* -> equal(u,a). % 299.97/300.33 83215[6:Obv:83196.1] || equal(successor(u),universal_set) -> disjoint(infinity,singleton_set(u))*. % 299.97/300.33 102619[16:Res:57626.0,102359.1] || disjoint(infinity,sigma(complement(image(singleton_set(a),u))))* -> . % 299.97/300.33 102618[16:Res:57625.0,102359.1] || disjoint(infinity,sigma(complement(apply(u,singleton_set(a)))))* -> . % 299.97/300.33 13688[3:Res:552.1,6160.0] || -> subset(cross_product(u,v),w) ordered_pair_predicate(first(f17(cross_product(u,v),w)))*. % 299.97/300.33 102551[16:Res:88837.0,102359.1] || disjoint(infinity,complement(singleton_set(complement(complement(singleton_set(a))))))* -> . % 299.97/300.33 102502[16:Res:102358.1,10964.0] || disjoint(infinity,complement(u))* -> member(a,u). % 299.97/300.33 102563[16:Res:83815.0,102359.1] || disjoint(infinity,complement(f24(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 102555[16:Res:57351.0,102359.1] || disjoint(infinity,complement(complement(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 13630[0:Res:539.1,4.0] || -> subset(cross_product(u,v),w) little_set(second(f17(cross_product(u,v),w)))*. % 299.97/300.33 102542[16:Res:83500.0,102359.1] || disjoint(infinity,complement(singleton_set(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 102562[16:Res:83581.0,102359.1] || disjoint(infinity,complement(f24(powerset(u))))* -> . % 299.97/300.33 102554[16:Res:57323.0,102359.1] || disjoint(infinity,complement(complement(powerset(u))))* -> . % 299.97/300.33 102541[16:Res:83499.0,102359.1] || disjoint(infinity,complement(singleton_set(powerset(u))))* -> . % 299.97/300.33 13625[3:Res:539.1,6160.0] || -> subset(cross_product(u,v),w) ordered_pair_predicate(second(f17(cross_product(u,v),w)))*. % 299.97/300.33 102564[16:Res:86671.0,102359.1] || disjoint(infinity,complement(f24(singleton_set(a))))* -> . % 299.97/300.33 102552[16:Res:55161.0,102359.1] || disjoint(infinity,complement(complement(singleton_set(a))))* -> . % 299.97/300.33 102550[16:Res:88801.0,102359.1] || disjoint(infinity,complement(singleton_set(successor(a))))* -> . % 299.97/300.33 102549[16:Res:88799.0,102359.1] || disjoint(infinity,complement(singleton_set(sigma(infinity))))* -> . % 299.97/300.33 13489[0:Res:556.1,4.0] || -> disjoint(u,cross_product(v,w)) little_set(first(f23(u,cross_product(v,w))))*. % 299.97/300.33 102544[18:Res:97269.0,102359.1] || disjoint(infinity,complement(singleton_set(singleton_set(infinity))))* -> . % 299.97/300.33 102543[16:Res:83818.0,102359.1] || disjoint(infinity,complement(singleton_set(singleton_set(a))))* -> . % 299.97/300.33 102548[16:Res:88674.0,102359.1] || disjoint(infinity,complement(singleton_set(f25)))* -> . % 299.97/300.33 102547[16:Res:88628.0,102359.1] || disjoint(infinity,complement(singleton_set(set_a)))* -> . % 299.97/300.33 13484[3:Res:556.1,6160.0] || -> disjoint(u,cross_product(v,w)) ordered_pair_predicate(first(f23(u,cross_product(v,w))))*. % 299.97/300.33 102546[16:Res:88627.0,102359.1] || disjoint(infinity,complement(singleton_set(set_b)))* -> . % 299.97/300.33 102545[16:Res:88616.0,102359.1] || disjoint(infinity,complement(singleton_set(infinity)))* -> . % 299.97/300.33 102359[16:Res:102157.1,55599.1] || disjoint(infinity,u) member(a,u)* -> . % 299.97/300.33 102358[16:Res:102157.1,57335.0] || disjoint(infinity,u) -> member(a,complement(u))*. % 299.97/300.33 13411[0:Res:551.1,4.0] || -> disjoint(cross_product(u,v),w) little_set(first(f23(cross_product(u,v),w)))*. % 299.97/300.33 102160[16:Res:102154.0,14041.0] || disjoint(infinity,u) -> disjoint(powerset(a),u)*. % 299.97/300.33 102377[16:Res:102157.1,93050.0] || disjoint(infinity,ordered_pair(universal_set,u))* -> . % 299.97/300.33 102376[16:Res:102157.1,93047.0] || disjoint(infinity,powerset(u))* -> . % 299.97/300.33 102157[16:Res:102154.0,14151.0] || disjoint(infinity,u) -> disjoint(u,powerset(a))*. % 299.97/300.33 13406[3:Res:551.1,6160.0] || -> disjoint(cross_product(u,v),w) ordered_pair_predicate(first(f23(cross_product(u,v),w)))*. % 299.97/300.33 102271[16:MRR:88411.1,102269.0] || equal(successor(f24(complement(complement(infinity)))),universal_set)** -> . % 299.97/300.33 102269[16:Res:98596.1,102235.0] || equal(complement(complement(infinity)),a)** -> . % 299.97/300.33 102280[16:Res:57337.1,102236.0] || disjoint(successor(infinity),universal_set)* -> . % 299.97/300.33 102279[16:Res:57338.1,102236.0] || disjoint(successor(infinity),infinity)* -> . % 299.97/300.33 13337[0:Res:543.1,4.0] || -> disjoint(u,cross_product(v,w)) little_set(second(f23(u,cross_product(v,w))))*. % 299.97/300.33 102276[16:Res:65798.1,102236.0] || disjoint(successor(infinity),set_b)* -> . % 299.97/300.33 102275[16:Res:65800.1,102236.0] || disjoint(successor(infinity),set_a)* -> . % 299.97/300.33 102236[16:Obv:102230.0] || member(a,complement(infinity))* -> . % 299.97/300.33 102235[16:Obv:102229.0] || subset(universal_set,complement(infinity))* -> . % 299.97/300.33 13332[3:Res:543.1,6160.0] || -> disjoint(u,cross_product(v,w)) ordered_pair_predicate(second(f23(u,cross_product(v,w))))*. % 299.97/300.33 102234[16:Obv:102228.0] || subset(infinity,complement(infinity))* -> . % 299.97/300.33 102153[16:Obv:102149.1] || equal(u,a) -> subset(singleton_set(u),infinity)*. % 299.97/300.33 102173[16:Res:102154.0,58917.0] || subset(powerset(infinity),a)* -> . % 299.97/300.33 13294[0:Res:538.1,4.0] || -> disjoint(cross_product(u,v),w) little_set(second(f23(cross_product(u,v),w)))*. % 299.97/300.33 102154[16:Obv:102152.1] || -> subset(powerset(a),infinity)*. % 299.97/300.33 83053[16:Res:82641.1,72.0] || equal(f17(u,infinity),a)** -> subset(u,infinity). % 299.97/300.33 83023[16:Res:82641.1,10857.1] || equal(a,u) equal(successor(u),universal_set)** -> . % 299.97/300.33 101488[16:Res:57626.0,101072.1] || disjoint(set_a,sigma(complement(image(singleton_set(a),u))))* -> . % 299.97/300.33 13289[3:Res:538.1,6160.0] || -> disjoint(cross_product(u,v),w) ordered_pair_predicate(second(f23(cross_product(u,v),w)))*. % 299.97/300.33 101487[16:Res:57625.0,101072.1] || disjoint(set_a,sigma(complement(apply(u,singleton_set(a)))))* -> . % 299.97/300.33 101420[16:Res:88837.0,101072.1] || disjoint(set_a,complement(singleton_set(complement(complement(singleton_set(a))))))* -> . % 299.97/300.33 101285[16:Res:101071.1,10964.0] || disjoint(set_a,complement(u))* -> member(a,u). % 299.97/300.33 101432[16:Res:83815.0,101072.1] || disjoint(set_a,complement(f24(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 3831[0:Res:6.2,1238.0] || disjoint(u,universal_set) -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.33 101424[16:Res:57351.0,101072.1] || disjoint(set_a,complement(complement(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 101411[16:Res:83500.0,101072.1] || disjoint(set_a,complement(singleton_set(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 101431[16:Res:83581.0,101072.1] || disjoint(set_a,complement(f24(powerset(u))))* -> . % 299.97/300.33 101423[16:Res:57323.0,101072.1] || disjoint(set_a,complement(complement(powerset(u))))* -> . % 299.97/300.33 3813[0:Res:6.1,1238.0] || disjoint(u,universal_set) -> equal(v,u) member(f1(v,u),v)*. % 299.97/300.33 101410[16:Res:83499.0,101072.1] || disjoint(set_a,complement(singleton_set(powerset(u))))* -> . % 299.97/300.33 101433[16:Res:86671.0,101072.1] || disjoint(set_a,complement(f24(singleton_set(a))))* -> . % 299.97/300.33 101421[16:Res:55161.0,101072.1] || disjoint(set_a,complement(complement(singleton_set(a))))* -> . % 299.97/300.33 101419[16:Res:88801.0,101072.1] || disjoint(set_a,complement(singleton_set(successor(a))))* -> . % 299.97/300.33 57867[16:Rew:54986.0,49759.2] || disjoint(complement(u),v) -> member(f24(v),u)* equal(v,a). % 299.97/300.33 101418[16:Res:88799.0,101072.1] || disjoint(set_a,complement(singleton_set(sigma(infinity))))* -> . % 299.97/300.33 101413[18:Res:97269.0,101072.1] || disjoint(set_a,complement(singleton_set(singleton_set(infinity))))* -> . % 299.97/300.33 101412[16:Res:83818.0,101072.1] || disjoint(set_a,complement(singleton_set(singleton_set(a))))* -> . % 299.97/300.33 101417[16:Res:88674.0,101072.1] || disjoint(set_a,complement(singleton_set(f25)))* -> . % 299.97/300.33 59053[16:Rew:54986.0,57718.1] || -> equal(restrict(u,v),a) member(f1(a,restrict(u,v)),u)*. % 299.97/300.33 101416[16:Res:88628.0,101072.1] || disjoint(set_a,complement(singleton_set(set_a)))* -> . % 299.97/300.33 101415[16:Res:88627.0,101072.1] || disjoint(set_a,complement(singleton_set(set_b)))* -> . % 299.97/300.33 101414[16:Res:88616.0,101072.1] || disjoint(set_a,complement(singleton_set(infinity)))* -> . % 299.97/300.33 101072[16:Res:100560.1,55599.1] || disjoint(set_a,u) member(a,u)* -> . % 299.97/300.33 59052[16:Rew:54986.0,57717.1] || -> equal(restrict(u,v),a) member(f1(restrict(u,v),a),u)*. % 299.97/300.33 101071[16:Res:100560.1,57335.0] || disjoint(set_a,u) -> member(a,complement(u))*. % 299.97/300.33 100563[16:Res:100557.0,14041.0] || disjoint(set_a,u) -> disjoint(powerset(a),u)*. % 299.97/300.33 101089[16:Res:100560.1,93050.0] || disjoint(set_a,ordered_pair(universal_set,u))* -> . % 299.97/300.33 101088[16:Res:100560.1,93047.0] || disjoint(set_a,powerset(u))* -> . % 299.97/300.33 59051[16:Rew:54986.0,57677.1] || -> equal(intersection(u,v),a) member(f1(a,intersection(u,v)),v)*. % 299.97/300.33 100560[16:Res:100557.0,14151.0] || disjoint(set_a,u) -> disjoint(u,powerset(a))*. % 299.97/300.33 100736[16:Res:98596.1,100722.0] || equal(complement(complement(set_a)),a)** -> . % 299.97/300.33 100849[16:Res:91847.1,100833.0] || equal(successor(set_a),a)** -> . % 299.97/300.33 100840[16:Res:58875.1,100723.0] || disjoint(set_a,singleton_set(a))* -> . % 299.97/300.33 59050[16:Rew:54986.0,57676.1] || -> equal(intersection(u,v),a) member(f1(a,intersection(u,v)),u)*. % 299.97/300.33 100839[16:Res:58879.1,100723.0] || disjoint(set_a,successor(a))* -> . % 299.97/300.33 100838[16:Res:57337.1,100723.0] || disjoint(successor(set_a),universal_set)* -> . % 299.97/300.33 100837[16:Res:57338.1,100723.0] || disjoint(successor(set_a),infinity)* -> . % 299.97/300.33 100836[16:Res:57339.1,100723.0] || disjoint(universal_set,successor(set_a))* -> . % 299.97/300.33 59049[16:Rew:54986.0,57675.1] || -> equal(intersection(u,v),a) member(f1(intersection(u,v),a),v)*. % 299.97/300.33 100835[16:Res:57340.1,100723.0] || disjoint(set_a,sigma(infinity))* -> . % 299.97/300.33 100834[16:Res:65798.1,100723.0] || disjoint(successor(set_a),set_b)* -> . % 299.97/300.33 100833[16:Res:65800.1,100723.0] || disjoint(successor(set_a),set_a)* -> . % 299.97/300.33 100723[16:Obv:100717.0] || member(a,complement(set_a))* -> . % 299.97/300.33 59048[16:Rew:54986.0,57674.1] || -> equal(intersection(u,v),a) member(f1(intersection(u,v),a),u)*. % 299.97/300.33 100722[16:Obv:100716.0] || subset(universal_set,complement(set_a))* -> . % 299.97/300.33 100721[16:Obv:100715.0] || subset(infinity,complement(set_a))* -> . % 299.97/300.33 100556[3:Obv:100552.1] || equal(u,a) -> subset(singleton_set(u),set_a)*. % 299.97/300.33 59021[16:Rew:54986.0,56214.2] || subset(u,v) -> equal(a,u) member(f1(a,u),v)*. % 299.97/300.33 100576[16:Res:100557.0,58917.0] || subset(powerset(set_a),a)* -> . % 299.97/300.33 100557[16:Obv:100555.1] || -> subset(powerset(a),set_a)*. % 299.97/300.33 82899[3:Res:82638.1,72.0] || equal(f17(u,set_a),a)** -> subset(u,set_a). % 299.97/300.33 99206[16:Res:57626.0,98786.1] || disjoint(set_b,sigma(complement(image(singleton_set(a),u))))* -> . % 299.97/300.33 56168[16:Rew:54986.0,49011.2] || member(u,v) disjoint(sigma(v),u)* -> equal(u,a). % 299.97/300.33 99205[16:Res:57625.0,98786.1] || disjoint(set_b,sigma(complement(apply(u,singleton_set(a)))))* -> . % 299.97/300.33 98967[16:Res:98596.1,57621.0] || equal(complement(apply_to_two_arguments(u,powerset(a),a)),a)** -> . % 299.97/300.33 99139[16:Res:88837.0,98786.1] || disjoint(set_b,complement(singleton_set(complement(complement(singleton_set(a))))))* -> . % 299.97/300.33 100358[16:Res:100137.1,34.1] || member(a,singleton_set(u))* -> member(u,set_b). % 299.97/300.33 56166[16:Rew:54986.0,49037.1] || subset(u,singleton_set(v))* -> equal(u,a) equal(f24(u),v). % 299.97/300.33 100329[0:Res:100132.1,34.1] || member(a,singleton_set(u))* -> member(u,set_a). % 299.97/300.33 100184[16:Res:98305.0,55614.0] || member(a,singleton_set(u))* -> member(u,infinity). % 299.97/300.33 100137[16:Res:98305.0,54996.0] || -> member(u,set_b) member(a,complement(singleton_set(u)))*. % 299.97/300.33 100132[0:Res:98305.0,942.0] || -> member(u,set_a) member(a,complement(singleton_set(u)))*. % 299.97/300.33 56165[16:Rew:54986.0,49038.1] || subset(u,powerset(v)) -> equal(u,a) subset(f24(u),v)*. % 299.97/300.33 100124[16:Res:98305.0,54990.0] || -> member(u,infinity) member(a,complement(singleton_set(u)))*. % 299.97/300.33 98305[0:Obv:98273.0] || -> subset(u,complement(singleton_set(v)))* member(v,u). % 299.97/300.33 99092[16:Res:98785.1,10964.0] || disjoint(set_b,complement(u))* -> member(a,u). % 299.97/300.33 99151[16:Res:83815.0,98786.1] || disjoint(set_b,complement(f24(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 59019[16:Rew:54986.0,56164.2] || subset(u,v) -> equal(u,a) member(f1(u,a),v)*. % 299.97/300.33 99143[16:Res:57351.0,98786.1] || disjoint(set_b,complement(complement(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 99130[16:Res:83500.0,98786.1] || disjoint(set_b,complement(singleton_set(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 99150[16:Res:83581.0,98786.1] || disjoint(set_b,complement(f24(powerset(u))))* -> . % 299.97/300.33 99142[16:Res:57323.0,98786.1] || disjoint(set_b,complement(complement(powerset(u))))* -> . % 299.97/300.33 22612[0:SSi:22532.2,22532.1,14.1,15.1] ordered_pair_predicate(u) || member(v,f3(u)) -> member(v,second(u))*. % 299.97/300.33 99129[16:Res:83499.0,98786.1] || disjoint(set_b,complement(singleton_set(powerset(u))))* -> . % 299.97/300.33 99152[16:Res:86671.0,98786.1] || disjoint(set_b,complement(f24(singleton_set(a))))* -> . % 299.97/300.33 99140[16:Res:55161.0,98786.1] || disjoint(set_b,complement(complement(singleton_set(a))))* -> . % 299.97/300.33 99138[16:Res:88801.0,98786.1] || disjoint(set_b,complement(singleton_set(successor(a))))* -> . % 299.97/300.33 22366[0:SSi:22288.2,22288.1,14.1,15.1] ordered_pair_predicate(u) || member(v,f2(u)) -> member(v,first(u))*. % 299.97/300.33 99137[16:Res:88799.0,98786.1] || disjoint(set_b,complement(singleton_set(sigma(infinity))))* -> . % 299.97/300.33 99132[18:Res:97269.0,98786.1] || disjoint(set_b,complement(singleton_set(singleton_set(infinity))))* -> . % 299.97/300.33 99131[16:Res:83818.0,98786.1] || disjoint(set_b,complement(singleton_set(singleton_set(a))))* -> . % 299.97/300.33 99136[16:Res:88674.0,98786.1] || disjoint(set_b,complement(singleton_set(f25)))* -> . % 299.97/300.33 18201[0:Obv:18187.0] ordered_pair_predicate(u) || -> member(u,converse(complement(v)))* member(u,converse(v)). % 299.97/300.33 99135[16:Res:88628.0,98786.1] || disjoint(set_b,complement(singleton_set(set_a)))* -> . % 299.97/300.33 99134[16:Res:88627.0,98786.1] || disjoint(set_b,complement(singleton_set(set_b)))* -> . % 299.97/300.33 99133[16:Res:88616.0,98786.1] || disjoint(set_b,complement(singleton_set(infinity)))* -> . % 299.97/300.33 98786[16:Res:98042.1,55599.1] || disjoint(set_b,u) member(a,u)* -> . % 299.97/300.33 13971[0:Res:1157.2,1238.0] || member(u,v)* disjoint(sigma(v),universal_set)*+ -> disjoint(w,u)*. % 299.97/300.33 98785[16:Res:98042.1,57335.0] || disjoint(set_b,u) -> member(a,complement(u))*. % 299.97/300.33 99041[16:MRR:88285.1,99038.0] || equal(f1(a,complement(infinity)),a)** -> . % 299.97/300.33 99040[16:MRR:88205.1,99038.0] || equal(f1(complement(infinity),a),a)** -> . % 299.97/300.33 99039[16:MRR:83049.1,99038.0] || equal(f24(complement(infinity)),a)** -> . % 299.97/300.33 13937[0:Res:1149.2,1238.0] || member(u,v)* disjoint(sigma(v),universal_set)*+ -> disjoint(u,w)*. % 299.97/300.33 98940[16:Res:98596.1,55052.0] || equal(complement(powerset(a)),a)** -> . % 299.97/300.33 99038[16:Obv:99022.1] || equal(complement(infinity),a)** -> . % 299.97/300.33 98596[16:SpR:92193.1,98450.0] || equal(complement(u),a) -> subset(universal_set,u)*. % 299.97/300.33 98045[16:Res:98039.0,14041.0] || disjoint(set_b,u) -> disjoint(powerset(a),u)*. % 299.97/300.33 13771[0:Res:1150.2,1238.0] || member(u,v)* disjoint(sigma(v),universal_set)*+ -> subset(u,w)*. % 299.97/300.33 98802[16:Res:98042.1,93050.0] || disjoint(set_b,ordered_pair(universal_set,u))* -> . % 299.97/300.33 98801[16:Res:98042.1,93047.0] || disjoint(set_b,powerset(u))* -> . % 299.97/300.33 98042[16:Res:98039.0,14151.0] || disjoint(set_b,u) -> disjoint(u,powerset(a))*. % 299.97/300.33 98354[16:Res:92031.1,98263.0] || equal(complement(complement(set_b)),a)** -> . % 299.97/300.33 9151[0:MRR:9140.0,203.1] || -> member(f23(complement(complement(u)),v),u)* disjoint(complement(complement(u)),v). % 299.97/300.33 98450[0:Obv:98426.0] || -> subset(complement(complement(u)),u)*. % 299.97/300.33 98356[16:Res:91847.1,98340.0] || equal(successor(set_b),a)** -> . % 299.97/300.33 98347[16:Res:58875.1,98263.0] || disjoint(set_b,singleton_set(a))* -> . % 299.97/300.33 98346[16:Res:58879.1,98263.0] || disjoint(set_b,successor(a))* -> . % 299.97/300.33 9082[0:MRR:9071.0,203.1] || -> member(f23(u,complement(complement(v))),v)* disjoint(u,complement(complement(v))). % 299.97/300.33 98345[16:Res:57337.1,98263.0] || disjoint(successor(set_b),universal_set)* -> . % 299.97/300.33 98344[16:Res:57338.1,98263.0] || disjoint(successor(set_b),infinity)* -> . % 299.97/300.33 98343[16:Res:57339.1,98263.0] || disjoint(universal_set,successor(set_b))* -> . % 299.97/300.33 98342[16:Res:57340.1,98263.0] || disjoint(set_b,sigma(infinity))* -> . % 299.97/300.33 8090[0:MRR:8071.0,213.1] || -> member(f17(complement(complement(u)),v),u)* subset(complement(complement(u)),v). % 299.97/300.33 98341[16:Res:65798.1,98263.0] || disjoint(successor(set_b),set_b)* -> . % 299.97/300.33 98340[16:Res:65800.1,98263.0] || disjoint(successor(set_b),set_a)* -> . % 299.97/300.33 98263[16:Obv:98257.0] || member(a,complement(set_b))* -> . % 299.97/300.33 98262[16:Obv:98256.0] || subset(universal_set,complement(set_b))* -> . % 299.97/300.33 6840[0:Res:395.0,1444.0] || -> subset(u,complement(singleton_set(v))) equal(f17(u,complement(singleton_set(v))),v)**. % 299.97/300.33 98261[16:Obv:98255.0] || subset(infinity,complement(set_b))* -> . % 299.97/300.33 98038[16:Obv:98034.1] || equal(u,a) -> subset(singleton_set(u),set_b)*. % 299.97/300.33 98058[16:Res:98039.0,58917.0] || subset(powerset(set_b),a)* -> . % 299.97/300.33 2959[0:Res:107.1,1444.0] || member(u,range_of(singleton_set(v)))* -> equal(f27(u,singleton_set(v)),v). % 299.97/300.33 98039[16:Obv:98037.1] || -> subset(powerset(a),set_b)*. % 299.97/300.33 82746[16:Res:82637.1,72.0] || equal(f17(u,set_b),a)** -> subset(u,set_b). % 299.97/300.33 82685[16:Res:82575.0,58865.1] || member(a,singleton_set(u))*+ -> member(u,successor(a))*. % 299.97/300.33 82684[16:Res:82575.0,57123.1] || subset(universal_set,singleton_set(u))* -> member(u,successor(a)). % 299.97/300.33 2938[0:Res:66.1,1444.0] || member(u,sigma(singleton_set(v)))* -> equal(f16(u,singleton_set(v)),v). % 299.97/300.33 82683[16:Res:82575.0,57124.1] || subset(infinity,singleton_set(u))* -> member(u,successor(a)). % 299.97/300.33 82677[16:Res:82575.0,58864.1] || member(a,singleton_set(u))*+ -> member(u,singleton_set(a))*. % 299.97/300.33 82676[16:Res:82575.0,56392.1] || subset(universal_set,singleton_set(u))* -> member(u,singleton_set(a)). % 299.97/300.33 82675[16:Res:82575.0,56393.1] || subset(infinity,singleton_set(u))* -> member(u,singleton_set(a)). % 299.97/300.33 2899[0:Res:38.1,1444.0] || member(u,domain_of(singleton_set(v)))* -> equal(f8(u,singleton_set(v)),v). % 299.97/300.33 82635[7:Res:82575.0,32663.1] || subset(universal_set,singleton_set(u))* -> member(u,sigma(infinity)). % 299.97/300.33 82633[7:Res:82575.0,32869.1] || subset(infinity,singleton_set(u))* -> member(u,sigma(infinity)). % 299.97/300.33 82632[16:Res:82575.0,55622.1] || member(a,singleton_set(u))*+ -> member(u,sigma(infinity))*. % 299.97/300.33 82587[6:Obv:82569.1] || equal(successor(u),universal_set) -> disjoint(singleton_set(u),infinity)*. % 299.97/300.33 625[0:Res:395.0,76.0] || -> subset(u,complement(powerset(v))) subset(f17(u,complement(powerset(v))),v)*. % 299.97/300.33 92430[16:Res:91847.1,56292.0] || equal(sigma(complement(apply(u,singleton_set(a)))),a)** -> . % 299.97/300.33 92424[16:Res:91847.1,56300.0] || equal(sigma(complement(image(singleton_set(a),u))),a)** -> . % 299.97/300.33 92274[16:Res:91847.1,56733.0] || equal(complement(range_of(cross_product(powerset(a),u))),a)** -> . % 299.97/300.33 92272[16:Res:91847.1,27137.0] || equal(complement(range_of(cross_product(sigma(infinity),u))),a)** -> . % 299.97/300.33 58005[16:Rew:54986.0,50150.1] || equal(u,f24(rotate_right(v)))*+ -> equal(rotate_right(v),a) ordered_pair_predicate(u)*. % 299.97/300.33 91856[16:Res:88690.1,57733.0] || equal(complement(range_of(cross_product(singleton_set(a),u))),a)** -> . % 299.97/300.33 97294[18:Res:97269.0,92502.1] || equal(complement(singleton_set(singleton_set(infinity))),a)** -> . % 299.97/300.33 97416[18:Res:11437.1,97293.0] || subset(set_a,singleton_set(singleton_set(infinity)))* -> . % 299.97/300.33 97293[18:Res:97269.0,1197.0] || disjoint(complement(singleton_set(singleton_set(infinity))),set_a)* -> . % 299.97/300.33 58002[16:Rew:54986.0,50144.1] || equal(u,f24(flip_range_of(v)))*+ -> equal(flip_range_of(v),a) ordered_pair_predicate(u)*. % 299.97/300.33 97385[18:Res:11437.1,97292.0] || subset(infinity,singleton_set(singleton_set(infinity)))* -> . % 299.97/300.33 97292[18:Res:97269.0,54989.0] || disjoint(complement(singleton_set(singleton_set(infinity))),infinity)* -> . % 299.97/300.33 97364[18:Res:11437.1,97291.0] || subset(set_b,singleton_set(singleton_set(infinity)))* -> . % 299.97/300.33 97291[18:Res:97269.0,54995.0] || disjoint(complement(singleton_set(singleton_set(infinity))),set_b)* -> . % 299.97/300.33 56167[16:Rew:54986.0,49017.2] || member(u,v)* disjoint(sigma(v),universal_set)*+ -> equal(u,a). % 299.97/300.33 97290[18:Res:97269.0,55636.1] || disjoint(universal_set,complement(singleton_set(singleton_set(infinity))))* -> . % 299.97/300.33 97326[18:Res:11437.1,97287.0] || subset(universal_set,singleton_set(singleton_set(infinity)))* -> . % 299.97/300.33 97287[18:Res:97269.0,1238.0] || disjoint(complement(singleton_set(singleton_set(infinity))),universal_set)* -> . % 299.97/300.33 97289[18:Res:97269.0,34.1] || member(a,singleton_set(singleton_set(infinity)))* -> . % 299.97/300.33 55350[16:Rew:54986.0,1176.2] || member(set_b,u) subset(sigma(u),v)* -> member(a,v). % 299.97/300.33 97269[18:Spt:97268.0,88522.0] || -> member(a,complement(singleton_set(singleton_set(infinity))))*. % 299.97/300.33 95346[16:Res:92031.1,94268.0] || equal(complement(singleton_set(complement(complement(singleton_set(a))))),a)** -> . % 299.97/300.33 97235[16:Res:11437.1,94272.0] || subset(set_a,singleton_set(complement(complement(singleton_set(a)))))* -> . % 299.97/300.33 94272[16:Res:88837.0,1197.0] || disjoint(complement(singleton_set(complement(complement(singleton_set(a))))),set_a)* -> . % 299.97/300.33 55314[16:Rew:54986.0,49218.2] || member(infinity,u) subset(sigma(u),v)* -> member(a,v). % 299.97/300.33 97193[16:Res:11437.1,94271.0] || subset(infinity,singleton_set(complement(complement(singleton_set(a)))))* -> . % 299.97/300.33 94271[16:Res:88837.0,54989.0] || disjoint(complement(singleton_set(complement(complement(singleton_set(a))))),infinity)* -> . % 299.97/300.33 97164[16:Res:11437.1,94270.0] || subset(set_b,singleton_set(complement(complement(singleton_set(a)))))* -> . % 299.97/300.33 94270[16:Res:88837.0,54995.0] || disjoint(complement(singleton_set(complement(complement(singleton_set(a))))),set_b)* -> . % 299.97/300.33 21407[0:Res:267.0,4116.1] ordered_pair_predicate(u) || -> member(u,converse(powerset(ordered_pair(second(u),first(u)))))*. % 299.97/300.33 94269[16:Res:88837.0,55636.1] || disjoint(universal_set,complement(singleton_set(complement(complement(singleton_set(a))))))* -> . % 299.97/300.33 96904[16:Res:11437.1,94266.0] || subset(universal_set,singleton_set(complement(complement(singleton_set(a)))))* -> . % 299.97/300.33 94266[16:Res:88837.0,1238.0] || disjoint(complement(singleton_set(complement(complement(singleton_set(a))))),universal_set)* -> . % 299.97/300.33 82886[3:Res:82638.1,4163.0] || equal(f1(set_a,universal_set),a)** -> equal(universal_set,set_a). % 299.97/300.33 8187[0:Res:1079.2,1238.0] little_set(u) || equal(u,v)* disjoint(singleton_set(v),universal_set)*+ -> . % 299.97/300.33 82733[16:Res:82637.1,4163.0] || equal(f1(set_b,universal_set),a)** -> equal(universal_set,set_b). % 299.97/300.33 96873[16:Res:83212.0,56393.1] || subset(infinity,singleton_set(u))* -> equal(a,u). % 299.97/300.33 83212[0:Obv:83174.0] || -> disjoint(singleton_set(u),singleton_set(v))* equal(v,u). % 299.97/300.33 83211[0:Obv:83173.0] || -> disjoint(powerset(u),singleton_set(v))* subset(v,u). % 299.97/300.33 2405[0:Res:86.1,1444.0] || -> single_valued_set(singleton_set(u)) equal(ordered_pair(f19(singleton_set(u)),f20(singleton_set(u))),u)**. % 299.97/300.33 96455[16:Res:57169.1,92502.1] || subset(f25,u)* equal(a,u) -> . % 299.97/300.33 92502[16:AED:92414.1] || equal(a,u) member(v,u)* -> . % 299.97/300.33 88373[16:Res:82584.0,55599.1] || member(a,singleton_set(u))*+ -> subset(u,v)*. % 299.97/300.33 93164[16:SpR:93157.0,113.0] || -> equal(restrict(complement(cross_product(u,universal_set)),u),a)**. % 299.97/300.33 2390[0:Res:87.1,1444.0] || -> single_valued_set(singleton_set(u)) equal(ordered_pair(f19(singleton_set(u)),f21(singleton_set(u))),u)**. % 299.97/300.33 92193[16:Res:91847.1,5390.0] || equal(a,u) -> equal(complement(u),universal_set)**. % 299.97/300.33 92186[16:Res:91847.1,57393.0] || equal(a,u) -> equal(converse(u),a)**. % 299.97/300.33 95412[16:Res:92031.1,17668.0] || equal(complement(apply(u,a)),a)** -> . % 299.97/300.33 92031[16:Res:91847.1,54998.0] || equal(complement(u),a) -> member(a,u)*. % 299.97/300.33 1181[0:Res:1134.1,70.0] || member(set_a,u) subset(sigma(u),v)* -> member(a,v). % 299.97/300.33 92026[16:Res:91847.1,32663.1] || equal(a,u) subset(universal_set,u)* -> . % 299.97/300.33 92024[16:Res:91847.1,32869.1] || equal(a,u) subset(infinity,u)* -> . % 299.97/300.33 91855[16:Res:88690.1,57630.0] || equal(complement(apply_to_two_arguments(u,universal_set,v)),a)** -> . % 299.97/300.33 91846[16:Res:88690.1,58836.0] || equal(a,u) -> equal(domain_of(u),a)**. % 299.97/300.33 57999[16:Rew:54986.0,50102.1] || equal(f24(complement(singleton_set(u))),u)** -> equal(complement(singleton_set(u)),a). % 299.97/300.33 91843[16:Res:88690.1,58837.0] || equal(a,u) -> equal(sigma(u),a)**. % 299.97/300.33 91841[16:Res:88690.1,58838.0] || equal(a,u) -> equal(range_of(u),a)**. % 299.97/300.33 91840[16:Res:88690.1,58839.0] || equal(a,u) -> equal(flip_range_of(u),a)**. % 299.97/300.33 91839[16:Res:88690.1,58840.0] || equal(a,u) -> equal(rotate_right(u),a)**. % 299.97/300.33 57998[16:Rew:54986.0,49219.1] || subset(f24(complement(powerset(u))),u)* -> equal(complement(powerset(u)),a). % 299.97/300.33 94864[16:Res:91681.1,20934.0] || equal(complement(range_of(cross_product(infinity,u))),a)** -> . % 299.97/300.33 94884[16:Res:91681.1,17668.0] || equal(complement(apply(u,infinity)),a)** -> . % 299.97/300.33 94882[16:Res:91681.1,17597.0] || equal(complement(image(infinity,u)),a)** -> . % 299.97/300.33 91681[16:Res:88690.1,20704.0] || equal(complement(u),a) -> member(infinity,u)*. % 299.97/300.33 14151[0:Obv:14140.2] || subset(u,v)*+ disjoint(v,w)* -> disjoint(w,u)*. % 299.97/300.33 90204[7:Rew:90184.0,18803.1] || subset(infinity,u)* disjoint(u,universal_set) -> . % 299.97/300.33 90200[9:Rew:90184.0,22530.1] || subset(set_b,u)* disjoint(u,universal_set) -> . % 299.97/300.33 90198[10:Rew:90184.0,22724.1] || subset(set_a,u)* disjoint(u,universal_set) -> . % 299.97/300.33 92258[16:Res:91847.1,56684.0] || equal(complement(apply(u,powerset(a))),a)** -> . % 299.97/300.33 14149[0:Obv:14138.2] || subset(u,v)*+ disjoint(v,u) -> disjoint(u,w)*. % 299.97/300.33 92256[16:Res:91847.1,27155.0] || equal(complement(apply(u,sigma(infinity))),a)** -> . % 299.97/300.33 92242[16:Res:91847.1,56680.0] || equal(complement(image(powerset(a),u)),a)** -> . % 299.97/300.33 92240[16:Res:91847.1,27154.0] || equal(complement(image(sigma(infinity),u)),a)** -> . % 299.97/300.33 92047[16:Res:91847.1,86668.0] || equal(complement(f24(ordered_pair(universal_set,u))),a)** -> . % 299.97/300.33 14042[0:Obv:14032.2] || subset(u,v)*+ disjoint(v,u) -> disjoint(w,u)*. % 299.97/300.33 92038[16:Res:91847.1,83811.0] || equal(complement(singleton_set(ordered_pair(universal_set,u))),a)** -> . % 299.97/300.33 92035[16:Res:91847.1,62988.0] || equal(complement(complement(ordered_pair(universal_set,u))),a)** -> . % 299.97/300.33 91853[16:Res:88690.1,57628.0] || equal(complement(image(singleton_set(a),u)),a)** -> . % 299.97/300.33 91852[16:Res:88690.1,57627.0] || equal(complement(apply(u,singleton_set(a))),a)** -> . % 299.97/300.33 14041[0:Obv:14030.2] || subset(u,v)*+ disjoint(v,w)* -> disjoint(u,w)*. % 299.97/300.33 94401[16:SoR:94379.0,5742.1] little_set(sigma(universal_set)) || -> . % 299.97/300.33 94379[16:AED:94371.1] ordered_pair_predicate(sigma(universal_set)) || -> . % 299.97/300.33 94268[16:Res:88837.0,34.1] || member(a,singleton_set(complement(complement(singleton_set(a)))))* -> . % 299.97/300.33 13862[0:Obv:13855.2] || subset(u,v)*+ disjoint(v,u) -> subset(u,w)*. % 299.97/300.33 88837[16:Con:88504.1] || -> member(a,complement(singleton_set(complement(complement(singleton_set(a))))))*. % 299.97/300.33 93771[16:Res:91848.1,57100.0] || equal(complement(f24(successor(a))),a)** -> . % 299.97/300.33 93770[16:Res:91848.1,35896.0] || equal(complement(f24(sigma(infinity))),a)** -> . % 299.97/300.33 93767[16:Res:91848.1,57098.0] || equal(complement(complement(successor(a))),a)** -> . % 299.97/300.33 57719[16:Rew:54986.0,49111.0] || -> equal(restrict(u,v),a) member(f24(restrict(u,v)),u)*. % 299.97/300.33 93764[16:Res:91848.1,32709.0] || equal(complement(complement(sigma(infinity))),a)** -> . % 299.97/300.33 94080[16:Rew:55084.0,94000.0] || -> equal(union(u,complement(u)),universal_set)**. % 299.97/300.33 93945[16:Res:11733.0,57709.0] || -> equal(intersection(u,complement(u)),a)**. % 299.97/300.33 93799[16:Res:91848.1,23067.0] || equal(successor(infinity),a)** -> . % 299.97/300.33 57709[16:Rew:54986.0,50208.1] || disjoint(u,intersection(v,u))* -> equal(intersection(v,u),a). % 299.97/300.33 91848[16:Res:88690.1,57319.0] || equal(a,u) -> disjoint(v,u)*. % 299.97/300.33 93123[16:Res:92484.0,58824.0] || -> equal(f24(complement(complement(powerset(a)))),a)**. % 299.97/300.33 93295[16:Rew:55084.0,93218.0] || -> equal(union(complement(u),u),universal_set)**. % 299.97/300.33 93157[16:Res:11992.0,57678.0] || -> equal(intersection(complement(u),u),a)**. % 299.97/300.33 57678[16:Rew:54986.0,49096.1] || disjoint(u,intersection(u,v))* -> equal(intersection(u,v),a). % 299.97/300.33 92484[16:MRR:58039.0,92034.0] || -> subset(f24(complement(complement(powerset(u)))),u)*. % 299.97/300.33 93050[16:MRR:93041.1,83558.0] || disjoint(ordered_pair(universal_set,u),powerset(a))* -> . % 299.97/300.33 93047[16:MRR:93040.1,83558.0] || disjoint(powerset(u),powerset(a))* -> . % 299.97/300.33 93046[16:MRR:93038.1,83558.0] || disjoint(singleton_set(a),powerset(a))* -> . % 299.97/300.33 56181[16:Rew:54986.0,49012.2] || subset(u,v)* disjoint(v,u) -> equal(u,a). % 299.97/300.33 92066[16:Res:91847.1,70716.0] || equal(successor(ordered_pair(universal_set,u)),a)** -> . % 299.97/300.33 92045[16:Res:91847.1,83688.0] || equal(complement(f24(powerset(u))),a)** -> . % 299.97/300.33 92037[16:Res:91847.1,83572.0] || equal(complement(singleton_set(powerset(u))),a)** -> . % 299.97/300.33 92034[16:Res:91847.1,62235.0] || equal(complement(complement(powerset(u))),a)** -> . % 299.97/300.33 26939[2:Obv:26936.0] || member(u,v) member(sigma(v),image(u,w))* -> . % 299.97/300.33 92046[16:Res:91847.1,86689.0] || equal(complement(f24(singleton_set(a))),a)** -> . % 299.97/300.33 92044[16:Res:91847.1,89042.0] || equal(complement(singleton_set(successor(a))),a)** -> . % 299.97/300.33 92043[16:Res:91847.1,89022.0] || equal(complement(singleton_set(sigma(infinity))),a)** -> . % 299.97/300.33 92036[16:Res:91847.1,83863.0] || equal(complement(singleton_set(singleton_set(a))),a)** -> . % 299.97/300.33 19263[0:Obv:19259.0] || member(u,sigma(intersection(v,w)))* -> member(u,sigma(w)). % 299.97/300.33 92033[16:Res:91847.1,56269.0] || equal(complement(complement(singleton_set(a))),a)** -> . % 299.97/300.33 92065[16:Res:91847.1,70715.0] || equal(successor(powerset(u)),a)** -> . % 299.97/300.33 92064[16:Res:91847.1,70714.0] || equal(successor(successor(a)),a)** -> . % 299.97/300.33 92063[16:Res:91847.1,70713.0] || equal(successor(singleton_set(a)),a)** -> . % 299.97/300.33 19261[0:Obv:19257.0] || member(u,sigma(intersection(v,w)))* -> member(u,sigma(v)). % 299.97/300.33 92062[16:Res:91847.1,70712.0] || equal(successor(sigma(infinity)),a)** -> . % 299.97/300.33 92042[16:Res:91847.1,88956.0] || equal(complement(singleton_set(f25)),a)** -> . % 299.97/300.33 92041[16:Res:91847.1,88903.0] || equal(complement(singleton_set(set_a)),a)** -> . % 299.97/300.33 92040[16:Res:91847.1,88880.0] || equal(complement(singleton_set(set_b)),a)** -> . % 299.97/300.33 14569[0:Obv:14564.2] || member(u,v) disjoint(sigma(v),u)* -> single_valued_set(u). % 299.97/300.33 92039[16:Res:91847.1,88860.0] || equal(complement(singleton_set(infinity)),a)** -> . % 299.97/300.33 92213[16:Res:91847.1,88260.0] || equal(singleton_set(infinity),a)** -> . % 299.97/300.33 91847[16:Res:88690.1,57320.0] || equal(a,u) -> disjoint(u,v)*. % 299.97/300.33 91851[16:Res:88690.1,57321.0] || equal(a,u) -> single_valued_set(u)*. % 299.97/300.33 11526[0:Res:954.2,1238.0] || subset(u,v)*+ disjoint(v,universal_set) -> disjoint(u,w)*. % 299.97/300.33 88690[16:Res:88372.1,58906.1] || equal(a,u) -> subset(u,v)*. % 299.97/300.33 90184[3:MRR:90059.0,5.0] || -> equal(sigma(universal_set),universal_set)**. % 299.97/300.33 89941[16:Res:11437.1,89044.0] || subset(set_a,singleton_set(successor(a)))* -> . % 299.97/300.33 11413[0:Res:961.2,1238.0] || subset(u,v)*+ disjoint(v,universal_set) -> disjoint(w,u)*. % 299.97/300.33 89044[16:Res:88801.0,1197.0] || disjoint(complement(singleton_set(successor(a))),set_a)* -> . % 299.97/300.33 89929[16:Res:11437.1,89043.0] || subset(infinity,singleton_set(successor(a)))* -> . % 299.97/300.33 89043[16:Res:88801.0,54989.0] || disjoint(complement(singleton_set(successor(a))),infinity)* -> . % 299.97/300.33 89836[16:Res:11437.1,89042.0] || subset(set_b,singleton_set(successor(a)))* -> . % 299.97/300.33 11331[0:Res:955.2,1238.0] || subset(u,v)*+ disjoint(v,universal_set) -> subset(u,w)*. % 299.97/300.33 89042[16:Res:88801.0,54995.0] || disjoint(complement(singleton_set(successor(a))),set_b)* -> . % 299.97/300.33 89038[16:Res:88801.0,1238.0] || disjoint(complement(singleton_set(successor(a))),universal_set)* -> . % 299.97/300.33 89820[16:Res:11437.1,89024.0] || subset(set_a,singleton_set(sigma(infinity)))* -> . % 299.97/300.33 89024[16:Res:88799.0,1197.0] || disjoint(complement(singleton_set(sigma(infinity))),set_a)* -> . % 299.97/300.33 8209[0:MRR:8197.0,213.1] || equal(f17(u,singleton_set(v)),v)** -> subset(u,singleton_set(v)). % 299.97/300.33 89794[16:Res:11437.1,89023.0] || subset(infinity,singleton_set(sigma(infinity)))* -> . % 299.97/300.33 89023[16:Res:88799.0,54989.0] || disjoint(complement(singleton_set(sigma(infinity))),infinity)* -> . % 299.97/300.33 89784[16:Res:11437.1,89022.0] || subset(set_b,singleton_set(sigma(infinity)))* -> . % 299.97/300.33 89022[16:Res:88799.0,54995.0] || disjoint(complement(singleton_set(sigma(infinity))),set_b)* -> . % 299.97/300.33 57707[16:Rew:54986.0,48649.0] || -> equal(cross_product(u,v),a) little_set(first(f24(cross_product(u,v))))*. % 299.97/300.33 89018[16:Res:88799.0,1238.0] || disjoint(complement(singleton_set(sigma(infinity))),universal_set)* -> . % 299.97/300.33 57706[16:Rew:54986.0,48650.0] || -> equal(cross_product(u,v),a) ordered_pair_predicate(first(f24(cross_product(u,v))))*. % 299.97/300.33 57705[16:Rew:54986.0,48652.0] || -> equal(cross_product(u,v),a) little_set(second(f24(cross_product(u,v))))*. % 299.97/300.33 89040[16:Res:88801.0,34.1] || member(a,singleton_set(successor(a)))* -> . % 299.97/300.33 89020[16:Res:88799.0,34.1] || member(a,singleton_set(sigma(infinity)))* -> . % 299.97/300.33 89668[16:Res:11437.1,88958.0] || subset(set_a,singleton_set(f25))* -> . % 299.97/300.33 57704[16:Rew:54986.0,48653.0] || -> equal(cross_product(u,v),a) ordered_pair_predicate(second(f24(cross_product(u,v))))*. % 299.97/300.33 88958[16:Res:88674.0,1197.0] || disjoint(complement(singleton_set(f25)),set_a)* -> . % 299.97/300.33 89656[16:Res:11437.1,88957.0] || subset(infinity,singleton_set(f25))* -> . % 299.97/300.33 88957[16:Res:88674.0,54989.0] || disjoint(complement(singleton_set(f25)),infinity)* -> . % 299.97/300.33 89566[16:Res:11437.1,88956.0] || subset(set_b,singleton_set(f25))* -> . % 299.97/300.33 56180[16:Rew:54986.0,49039.2] || subset(u,v)* disjoint(v,universal_set) -> equal(u,a). % 299.97/300.33 88956[16:Res:88674.0,54995.0] || disjoint(complement(singleton_set(f25)),set_b)* -> . % 299.97/300.33 88955[16:Res:88674.0,55636.1] || disjoint(universal_set,complement(singleton_set(f25)))* -> . % 299.97/300.33 89547[16:Res:11437.1,88952.0] || subset(universal_set,singleton_set(f25))* -> . % 299.97/300.33 88952[16:Res:88674.0,1238.0] || disjoint(complement(singleton_set(f25)),universal_set)* -> . % 299.97/300.33 43745[0:MRR:43744.0,43744.1,43744.2,55.1,56.1,54.1] || member(u,v) member(u,flip_range_of(complement(flip_range_of(v))))* -> . % 299.97/300.33 89376[16:Res:11437.1,88905.0] || subset(set_a,singleton_set(set_a))* -> . % 299.97/300.33 88905[16:Res:88628.0,1197.0] || disjoint(complement(singleton_set(set_a)),set_a)* -> . % 299.97/300.33 89364[16:Res:11437.1,88904.0] || subset(infinity,singleton_set(set_a))* -> . % 299.97/300.33 88904[16:Res:88628.0,54989.0] || disjoint(complement(singleton_set(set_a)),infinity)* -> . % 299.97/300.33 89351[16:Res:11437.1,88903.0] || subset(set_b,singleton_set(set_a))* -> . % 299.97/300.33 88903[16:Res:88628.0,54995.0] || disjoint(complement(singleton_set(set_a)),set_b)* -> . % 299.97/300.33 88902[16:Res:88628.0,55636.1] || disjoint(universal_set,complement(singleton_set(set_a)))* -> . % 299.97/300.33 89331[16:Res:11437.1,88899.0] || subset(universal_set,singleton_set(set_a))* -> . % 299.97/300.33 14482[0:Res:1151.2,1238.0] || member(u,v)* disjoint(sigma(v),universal_set)*+ -> single_valued_set(u). % 299.97/300.33 88899[16:Res:88628.0,1238.0] || disjoint(complement(singleton_set(set_a)),universal_set)* -> . % 299.97/300.33 89319[16:Res:11437.1,88882.0] || subset(set_a,singleton_set(set_b))* -> . % 299.97/300.33 88882[16:Res:88627.0,1197.0] || disjoint(complement(singleton_set(set_b)),set_a)* -> . % 299.97/300.33 89143[16:Res:11437.1,88881.0] || subset(infinity,singleton_set(set_b))* -> . % 299.97/300.33 14370[0:Res:46.1,1019.1] || member(u,converse(v)) member(u,converse(complement(v)))* -> . % 299.97/300.33 88881[16:Res:88627.0,54989.0] || disjoint(complement(singleton_set(set_b)),infinity)* -> . % 299.97/300.33 89131[16:Res:11437.1,88880.0] || subset(set_b,singleton_set(set_b))* -> . % 299.97/300.33 88880[16:Res:88627.0,54995.0] || disjoint(complement(singleton_set(set_b)),set_b)* -> . % 299.97/300.33 88879[16:Res:88627.0,55636.1] || disjoint(universal_set,complement(singleton_set(set_b)))* -> . % 299.97/300.33 3913[0:Obv:3912.0] little_set(u) || equal(v,singleton_set(singleton_set(u)))*+ -> ordered_pair_predicate(v)*. % 299.97/300.33 89099[16:Res:11437.1,88876.0] || subset(universal_set,singleton_set(set_b))* -> . % 299.97/300.33 88876[16:Res:88627.0,1238.0] || disjoint(complement(singleton_set(set_b)),universal_set)* -> . % 299.97/300.33 89090[16:Res:11437.1,88862.0] || subset(set_a,singleton_set(infinity))* -> . % 299.97/300.33 88862[16:Res:88616.0,1197.0] || disjoint(complement(singleton_set(infinity)),set_a)* -> . % 299.97/300.33 1500[0:Res:35.2,1238.0] little_set(u) || disjoint(complement(v),universal_set)*+ -> member(u,v)*. % 299.97/300.33 89072[16:Res:11437.1,88861.0] || subset(infinity,singleton_set(infinity))* -> . % 299.97/300.33 88861[16:Res:88616.0,54989.0] || disjoint(complement(singleton_set(infinity)),infinity)* -> . % 299.97/300.33 89063[16:Res:11437.1,88860.0] || subset(set_b,singleton_set(infinity))* -> . % 299.97/300.33 88860[16:Res:88616.0,54995.0] || disjoint(complement(singleton_set(infinity)),set_b)* -> . % 299.97/300.33 1501[0:Res:67.1,1238.0] || member(u,sigma(v)) disjoint(f16(u,v),universal_set)* -> . % 299.97/300.33 88859[16:Res:88616.0,55636.1] || disjoint(universal_set,complement(singleton_set(infinity)))* -> . % 299.97/300.33 89050[16:Res:11437.1,88856.0] || subset(universal_set,singleton_set(infinity))* -> . % 299.97/300.33 88856[16:Res:88616.0,1238.0] || disjoint(complement(singleton_set(infinity)),universal_set)* -> . % 299.97/300.33 88801[16:Con:88526.1] || -> member(a,complement(singleton_set(successor(a))))*. % 299.97/300.33 1502[0:Res:26.1,1238.0] || member(u,second(v)) disjoint(f7(u,v),universal_set)* -> . % 299.97/300.33 88799[16:Con:88514.1] || -> member(a,complement(singleton_set(sigma(infinity))))*. % 299.97/300.33 88954[16:Res:88674.0,34.1] || member(a,singleton_set(f25))* -> . % 299.97/300.33 88901[16:Res:88628.0,34.1] || member(a,singleton_set(set_a))* -> . % 299.97/300.33 1503[0:Res:21.1,1238.0] || member(u,first(v)) disjoint(f4(u,v),universal_set)* -> . % 299.97/300.33 88878[16:Res:88627.0,34.1] || member(a,singleton_set(set_b))* -> . % 299.97/300.33 88858[16:Res:88616.0,34.1] || member(a,singleton_set(infinity))* -> . % 299.97/300.33 88942[16:Res:88674.0,58906.1] || equal(f25,a)** -> . % 299.97/300.33 88674[16:Res:88372.0,57620.0] || -> member(a,complement(singleton_set(f25)))*. % 299.97/300.33 57904[16:Rew:54986.0,50207.1] || member(complement(sigma(u)),u)* -> equal(complement(sigma(u)),a). % 299.97/300.33 88628[16:Res:88372.0,22728.0] || -> member(a,complement(singleton_set(set_a)))*. % 299.97/300.33 88627[16:Res:88372.0,22622.0] || -> member(a,complement(singleton_set(set_b)))*. % 299.97/300.33 88616[16:Res:88372.0,14828.0] || -> member(a,complement(singleton_set(infinity)))*. % 299.97/300.33 88372[16:Res:82584.0,57335.0] || -> subset(u,v)* member(a,complement(singleton_set(u)))*. % 299.97/300.33 57853[16:Rew:54986.0,49059.1] || -> member(f24(complement(complement(u))),u)* equal(complement(complement(u)),a). % 299.97/300.33 82584[0:Obv:82548.0] || -> disjoint(singleton_set(u),powerset(v))* subset(u,v). % 299.97/300.33 88327[3:Res:82452.1,88259.0] || subset(infinity,u) -> member(infinity,powerset(u))*. % 299.97/300.33 88326[3:Res:82450.1,88259.0] || -> member(infinity,u) member(infinity,complement(u))*. % 299.97/300.33 88259[3:Res:88246.0,70.0] || subset(singleton_set(infinity),u)* -> member(infinity,u). % 299.97/300.33 58984[16:Rew:54986.0,57515.0] || member(f1(a,complement(u)),u)* -> equal(complement(u),a). % 299.97/300.33 88260[3:Res:88246.0,1238.0] || disjoint(singleton_set(infinity),universal_set)* -> . % 299.97/300.33 88246[3:Res:82575.0,88188.0] || -> member(infinity,singleton_set(infinity))*. % 299.97/300.33 88188[3:Obv:88099.0] || disjoint(singleton_set(infinity),singleton_set(infinity))* -> . % 299.97/300.33 88187[3:Obv:88100.0] || disjoint(universal_set,singleton_set(infinity))* -> . % 299.97/300.33 58983[16:Rew:54986.0,57514.0] || member(f1(complement(u),a),u)* -> equal(complement(u),a). % 299.97/300.33 82671[3:Res:82575.0,20607.1] || equal(infinity,u) -> member(u,singleton_set(u))*. % 299.97/300.33 87905[16:Res:83494.1,58906.1] || equal(a,u)* -> equal(u,a). % 299.97/300.33 88050[16:Res:11550.1,88025.0] || subset(universal_set,singleton_set(successor(a)))* -> . % 299.97/300.33 4259[0:MRR:4253.0,5.0] || subset(f1(powerset(u),universal_set),u)* -> equal(powerset(u),universal_set). % 299.97/300.33 88025[16:MRR:88021.1,55131.0] || disjoint(universal_set,complement(singleton_set(successor(a))))* -> . % 299.97/300.33 88041[16:Res:11550.1,88024.0] || subset(universal_set,singleton_set(sigma(infinity)))* -> . % 299.97/300.33 88024[16:MRR:88020.1,55131.0] || disjoint(universal_set,complement(singleton_set(sigma(infinity))))* -> . % 299.97/300.33 58936[16:Rew:54986.0,55230.1] || member(a,first(u)) disjoint(f4(a,u),set_b)* -> . % 299.97/300.33 83494[16:Res:82585.0,57335.0] || -> equal(u,a) member(a,complement(singleton_set(u)))*. % 299.97/300.33 83213[16:Obv:83180.0] || -> disjoint(powerset(a),singleton_set(u))* equal(u,a). % 299.97/300.33 87889[16:MRR:87763.1,55099.0] || equal(f1(successor(a),universal_set),a)** -> . % 299.97/300.33 58934[16:Rew:54986.0,55228.1] || member(a,first(u)) disjoint(f4(a,u),infinity)* -> . % 299.97/300.33 82681[16:Res:82575.0,58907.0] || equal(a,u) -> member(u,successor(a))*. % 299.97/300.33 87735[16:MRR:87609.1,26338.0] || equal(f1(sigma(infinity),universal_set),a)** -> . % 299.97/300.33 82665[16:Res:82575.0,56231.0] || equal(a,u) -> member(u,sigma(infinity))*. % 299.97/300.33 58933[16:Rew:54986.0,55227.1] || member(a,second(u)) disjoint(f7(a,u),set_b)* -> . % 299.97/300.33 82656[7:Res:82575.0,34813.0] || equal(sigma(infinity),u) -> member(u,universal_set)*. % 299.97/300.33 82654[16:Res:82575.0,56316.0] || equal(singleton_set(a),u) -> member(u,universal_set)*. % 299.97/300.33 82653[16:Res:82575.0,56674.0] || equal(powerset(a),u) -> member(u,universal_set)*. % 299.97/300.33 86861[16:Res:11437.1,86670.0] || subset(set_a,f24(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 58931[16:Rew:54986.0,55225.1] || member(a,second(u)) disjoint(f7(a,u),infinity)* -> . % 299.97/300.33 86670[16:Res:83815.0,1197.0] || disjoint(complement(f24(ordered_pair(universal_set,u))),set_a)* -> . % 299.97/300.33 86854[16:Res:11437.1,86669.0] || subset(infinity,f24(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 86669[16:Res:83815.0,54989.0] || disjoint(complement(f24(ordered_pair(universal_set,u))),infinity)* -> . % 299.97/300.33 86847[16:Res:11437.1,86668.0] || subset(set_b,f24(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 58929[16:Rew:54986.0,55182.1] || member(a,sigma(u)) disjoint(f16(a,u),set_b)* -> . % 299.97/300.33 86668[16:Res:83815.0,54995.0] || disjoint(complement(f24(ordered_pair(universal_set,u))),set_b)* -> . % 299.97/300.33 86667[16:Res:83815.0,55636.1] || disjoint(universal_set,complement(f24(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 86837[16:Res:11437.1,86664.0] || subset(universal_set,f24(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 86664[16:Res:83815.0,1238.0] || disjoint(complement(f24(ordered_pair(universal_set,u))),universal_set)* -> . % 299.97/300.33 58926[16:Rew:54986.0,55166.1] || member(a,sigma(u)) disjoint(f16(a,u),infinity)* -> . % 299.97/300.33 86827[16:Res:11437.1,83813.0] || subset(set_a,singleton_set(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 83813[16:Res:83500.0,1197.0] || disjoint(complement(singleton_set(ordered_pair(universal_set,u))),set_a)* -> . % 299.97/300.33 86814[16:Res:11437.1,83812.0] || subset(infinity,singleton_set(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 83812[16:Res:83500.0,54989.0] || disjoint(complement(singleton_set(ordered_pair(universal_set,u))),infinity)* -> . % 299.97/300.33 10939[2:Res:62.1,616.1] little_set(first(f27(universal_set,u))) || member(universal_set,range_of(u))* -> . % 299.97/300.33 86793[16:Res:11437.1,83811.0] || subset(set_b,singleton_set(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 83811[16:Res:83500.0,54995.0] || disjoint(complement(singleton_set(ordered_pair(universal_set,u))),set_b)* -> . % 299.97/300.33 83810[16:Res:83500.0,55636.1] || disjoint(universal_set,complement(singleton_set(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 86759[16:Res:11437.1,83807.0] || subset(universal_set,singleton_set(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 10938[3:Res:5770.1,616.1] ordered_pair_predicate(first(f27(universal_set,u))) || member(universal_set,range_of(u))* -> . % 299.97/300.33 83807[16:Res:83500.0,1238.0] || disjoint(complement(singleton_set(ordered_pair(universal_set,u))),universal_set)* -> . % 299.97/300.33 83819[16:EmS:10805.0,83814.0] || equal(f26(ordered_pair(universal_set,u)),universal_set)** -> . % 299.97/300.33 83816[16:MRR:59055.1,83797.0] || member(a,f24(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 86743[16:Res:11437.1,86691.0] || subset(set_a,f24(singleton_set(a)))* -> . % 299.97/300.33 1411[0:Res:21.1,1197.0] || member(a,first(u)) disjoint(f4(a,u),set_a)* -> . % 299.97/300.33 86691[16:Res:86671.0,1197.0] || disjoint(complement(f24(singleton_set(a))),set_a)* -> . % 299.97/300.33 86731[16:Res:11437.1,86690.0] || subset(infinity,f24(singleton_set(a)))* -> . % 299.97/300.33 86690[16:Res:86671.0,54989.0] || disjoint(complement(f24(singleton_set(a))),infinity)* -> . % 299.97/300.33 86719[16:Res:11437.1,86689.0] || subset(set_b,f24(singleton_set(a)))* -> . % 299.97/300.33 1410[0:Res:26.1,1197.0] || member(a,second(u)) disjoint(f7(a,u),set_a)* -> . % 299.97/300.33 86689[16:Res:86671.0,54995.0] || disjoint(complement(f24(singleton_set(a))),set_b)* -> . % 299.97/300.33 86688[16:Res:86671.0,55636.1] || disjoint(universal_set,complement(f24(singleton_set(a))))* -> . % 299.97/300.33 86701[16:Res:11437.1,86685.0] || subset(universal_set,f24(singleton_set(a)))* -> . % 299.97/300.33 86685[16:Res:86671.0,1238.0] || disjoint(complement(f24(singleton_set(a))),universal_set)* -> . % 299.97/300.33 1409[0:Res:67.1,1197.0] || member(a,sigma(u)) disjoint(f16(a,u),set_a)* -> . % 299.97/300.33 86687[16:Res:86671.0,34.1] || member(a,f24(singleton_set(a)))* -> . % 299.97/300.33 86671[16:Rew:55093.0,86654.0] || -> member(a,complement(f24(singleton_set(a))))*. % 299.97/300.33 83815[16:MRR:59054.0,83797.0] || -> member(a,complement(f24(ordered_pair(universal_set,u))))*. % 299.97/300.33 83809[16:Res:83500.0,34.1] || member(a,singleton_set(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 57827[16:Rew:54986.0,50160.0] || -> equal(apply(cross_product(u,v),w),a)** member(w,u). % 299.97/300.33 86554[16:Res:11437.1,83690.0] || subset(set_a,f24(powerset(u)))* -> . % 299.97/300.33 83690[16:Res:83581.0,1197.0] || disjoint(complement(f24(powerset(u))),set_a)* -> . % 299.97/300.33 86544[16:Res:11437.1,83688.0] || subset(set_b,f24(powerset(u)))* -> . % 299.97/300.33 83688[16:Res:83581.0,54995.0] || disjoint(complement(f24(powerset(u))),set_b)* -> . % 299.97/300.33 83584[16:MRR:57649.1,83558.0] || disjoint(universal_set,complement(f24(powerset(u))))* -> . % 299.97/300.33 86107[16:Res:11437.1,83583.0] || subset(infinity,f24(powerset(u)))* -> . % 299.97/300.33 83583[16:MRR:57648.1,83558.0] || disjoint(complement(f24(powerset(u))),infinity)* -> . % 299.97/300.33 85675[16:Res:11437.1,83582.0] || subset(universal_set,f24(powerset(u)))* -> . % 299.97/300.33 83582[16:MRR:57647.1,83558.0] || disjoint(complement(f24(powerset(u))),universal_set)* -> . % 299.97/300.33 85661[16:Res:11437.1,83574.0] || subset(set_a,singleton_set(powerset(u)))* -> . % 299.97/300.33 83574[16:Res:83499.0,1197.0] || disjoint(complement(singleton_set(powerset(u))),set_a)* -> . % 299.97/300.33 85222[16:Res:11437.1,83573.0] || subset(infinity,singleton_set(powerset(u)))* -> . % 299.97/300.33 83573[16:Res:83499.0,54989.0] || disjoint(complement(singleton_set(powerset(u))),infinity)* -> . % 299.97/300.33 85206[16:Res:11437.1,83572.0] || subset(set_b,singleton_set(powerset(u)))* -> . % 299.97/300.33 83572[16:Res:83499.0,54995.0] || disjoint(complement(singleton_set(powerset(u))),set_b)* -> . % 299.97/300.33 83571[16:Res:83499.0,55636.1] || disjoint(universal_set,complement(singleton_set(powerset(u))))* -> . % 299.97/300.33 84758[16:Res:11437.1,83568.0] || subset(universal_set,singleton_set(powerset(u)))* -> . % 299.97/300.33 83568[16:Res:83499.0,1238.0] || disjoint(complement(singleton_set(powerset(u))),universal_set)* -> . % 299.97/300.33 84745[16:Res:11437.1,83865.0] || subset(set_a,singleton_set(singleton_set(a)))* -> . % 299.97/300.33 83865[16:Res:83818.0,1197.0] || disjoint(complement(singleton_set(singleton_set(a))),set_a)* -> . % 299.97/300.33 84248[16:Res:11437.1,83864.0] || subset(infinity,singleton_set(singleton_set(a)))* -> . % 299.97/300.33 83864[16:Res:83818.0,54989.0] || disjoint(complement(singleton_set(singleton_set(a))),infinity)* -> . % 299.97/300.33 84233[16:Res:11437.1,83863.0] || subset(set_b,singleton_set(singleton_set(a)))* -> . % 299.97/300.33 83863[16:Res:83818.0,54995.0] || disjoint(complement(singleton_set(singleton_set(a))),set_b)* -> . % 299.97/300.33 25433[2:Rew:95.1,25426.1] || member(u,image(v,w))* subset(v,u) -> . % 299.97/300.33 83862[16:Res:83818.0,55636.1] || disjoint(universal_set,complement(singleton_set(singleton_set(a))))* -> . % 299.97/300.33 84046[16:Res:11437.1,83859.0] || subset(universal_set,singleton_set(singleton_set(a)))* -> . % 299.97/300.33 83859[16:Res:83818.0,1238.0] || disjoint(complement(singleton_set(singleton_set(a))),universal_set)* -> . % 299.97/300.33 83797[16:Res:83500.0,58906.1] || equal(ordered_pair(universal_set,u),a)** -> . % 299.97/300.33 83606[16:MRR:58136.2,83558.0] || subset(u,v) member(u,f24(powerset(v)))* -> . % 299.97/300.33 83861[16:Res:83818.0,34.1] || member(a,singleton_set(singleton_set(a)))* -> . % 299.97/300.33 83822[16:EmS:10805.0,83821.0] || equal(f26(singleton_set(a)),universal_set)** -> . % 299.97/300.33 83818[16:Rew:55093.0,83793.0] || -> member(a,complement(singleton_set(singleton_set(a))))*. % 299.97/300.33 83829[16:Rew:55093.0,83828.0] || -> little_set(f26(singleton_set(a)))*. % 299.97/300.33 83612[16:MRR:59403.1,83558.0] || member(singleton_set(singleton_set(a)),f24(powerset(cross_product(set_a,set_b))))* -> . % 299.97/300.33 83817[16:MRR:78794.0,83797.0] || -> little_set(f26(ordered_pair(universal_set,u)))*. % 299.97/300.33 83821[16:Rew:55093.0,83820.0] || -> ordered_pair_predicate(f26(singleton_set(a)))*. % 299.97/300.33 83814[16:MRR:57845.0,83797.0] || -> ordered_pair_predicate(f26(ordered_pair(universal_set,u)))*. % 299.97/300.33 83500[16:MRR:83498.0,55131.0] || -> member(a,complement(singleton_set(ordered_pair(universal_set,u))))*. % 299.97/300.33 83585[16:MRR:57645.1,83558.0] little_set(u) || -> subset(f26(powerset(u)),u)*. % 299.97/300.33 83579[16:MRR:58922.0,83558.0] || -> subset(f1(a,powerset(u)),u)*. % 299.97/300.33 83578[16:MRR:58921.0,83558.0] || -> subset(f1(powerset(u),a),u)*. % 299.97/300.33 83581[16:MRR:58925.0,83558.0] || -> member(a,complement(f24(powerset(u))))*. % 299.97/300.33 83580[16:MRR:58924.1,83558.0] || member(a,f24(powerset(u)))* -> . % 299.97/300.33 83577[16:MRR:55133.1,83558.0] little_set(powerset(u)) || -> subset(f26(powerset(u)),u)*. % 299.97/300.33 83570[16:Res:83499.0,34.1] || member(a,singleton_set(powerset(u)))* -> . % 299.97/300.33 83576[16:MRR:55134.0,83558.0] || -> subset(f24(powerset(u)),u)*. % 299.97/300.33 83558[16:Res:83499.0,58906.1] || equal(powerset(u),a)** -> . % 299.97/300.33 83499[16:MRR:83497.0,55131.0] || -> member(a,complement(singleton_set(powerset(u))))*. % 299.97/300.33 14568[0:Obv:14563.2] || subset(u,v)* disjoint(v,u) -> single_valued_set(u). % 299.97/300.33 82585[16:Obv:82549.0] || -> disjoint(singleton_set(u),powerset(a))* equal(u,a). % 299.97/300.33 83265[2:Res:82611.1,15935.1] || equal(infinity,u) -> member(u,universal_set)*. % 299.97/300.33 82611[0:Res:82575.0,14147.0] || -> member(u,v) disjoint(v,singleton_set(u))*. % 299.97/300.33 83167[16:MRR:83040.1,10929.0] || equal(f1(infinity,universal_set),a)** -> . % 299.97/300.33 2250[0:Res:100.1,1444.0] || -> disjoint(u,singleton_set(v)) equal(f23(u,singleton_set(v)),v)**. % 299.97/300.33 82641[16:Res:82575.0,56243.1] || equal(a,u) -> member(u,infinity)*. % 299.97/300.33 82638[3:Res:82575.0,3066.1] || equal(a,u) -> member(u,set_a)*. % 299.97/300.33 82637[16:Res:82575.0,55015.1] || equal(a,u) -> member(u,set_b)*. % 299.97/300.33 82575[0:Obv:82544.0] || -> disjoint(singleton_set(u),v)* member(u,v). % 299.97/300.33 2240[0:Res:99.1,1444.0] || -> disjoint(singleton_set(u),v) equal(f23(singleton_set(u),v),u)**. % 299.97/300.33 57508[16:Rew:54986.0,48535.0] || member(a,singleton_set(u))* disjoint(successor(u),infinity) -> . % 299.97/300.33 82452[0:Obv:82431.1] || subset(u,v) -> subset(singleton_set(u),powerset(v))*. % 299.97/300.33 82450[0:Obv:82420.0] || -> member(u,v) subset(singleton_set(u),complement(v))*. % 299.97/300.33 82447[0:Obv:82428.1] || member(u,v) -> subset(singleton_set(u),v)*. % 299.97/300.33 2239[0:Res:71.1,1444.0] || -> subset(singleton_set(u),v) equal(f17(singleton_set(u),v),u)**. % 299.97/300.33 57507[16:Rew:54986.0,48536.0] || member(a,singleton_set(u))* disjoint(successor(u),universal_set) -> . % 299.97/300.33 57503[16:Rew:54986.0,48529.1] || disjoint(universal_set,complement(singleton_set(u)))* -> member(a,successor(u)). % 299.97/300.33 57502[16:Rew:54986.0,48531.1] || disjoint(complement(singleton_set(u)),infinity)* -> member(a,successor(u)). % 299.97/300.33 81952[16:Res:58828.1,57841.0] || subset(u,a) -> equal(compose(v,u),a)**. % 299.97/300.33 57501[16:Rew:54986.0,48532.1] || disjoint(complement(singleton_set(u)),universal_set)* -> member(a,successor(u)). % 299.97/300.33 81319[16:Res:58828.1,57840.0] || subset(u,a) -> equal(image(v,u),a)**. % 299.97/300.33 57330[16:Rew:54986.0,48503.1] || subset(universal_set,powerset(u))* member(a,complement(u)) -> . % 299.97/300.33 57329[16:Rew:54986.0,48504.1] || subset(sigma(infinity),u)* member(a,complement(u)) -> . % 299.97/300.33 57170[16:Rew:54986.0,48483.1] || subset(universal_set,u) -> member(ordered_pair(powerset(a),a),u)*. % 299.97/300.33 80771[16:Res:58828.1,57834.0] || subset(u,a) -> equal(compose(u,v),a)**. % 299.97/300.33 57169[16:Rew:54986.0,48484.1] || subset(f25,u) -> member(ordered_pair(powerset(a),a),u)*. % 299.97/300.33 57128[16:Rew:54986.0,48243.1] || member(infinity,u) disjoint(sigma(u),successor(a))* -> . % 299.97/300.33 57121[16:Rew:54986.0,48225.0] || disjoint(u,successor(a)) disjoint(complement(u),infinity)* -> . % 299.97/300.33 80094[16:Res:58828.1,57833.0] || subset(u,a) -> equal(image(u,v),a)**. % 299.97/300.33 57120[16:Rew:54986.0,48226.0] || disjoint(u,successor(a))*+ disjoint(universal_set,complement(u))* -> . % 299.97/300.33 57119[16:Rew:54986.0,48228.0] || disjoint(u,successor(a)) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 57105[16:Rew:54986.0,48221.0] || subset(successor(a),u)* subset(infinity,complement(u)) -> . % 299.97/300.33 79454[16:Res:58828.1,57832.0] || subset(u,a) -> equal(apply(u,v),a)**. % 299.97/300.33 57104[16:Rew:54986.0,48222.0] || subset(successor(a),u)* subset(universal_set,complement(u)) -> . % 299.97/300.33 58919[16:Rew:54986.0,57103.1] || subset(successor(a),u)* member(a,complement(u)) -> . % 299.97/300.33 57002[16:Rew:54986.0,48170.1] || equal(u,universal_set) equal(f1(universal_set,a),u)* -> . % 299.97/300.33 56766[16:Rew:54986.0,48469.0] || disjoint(universal_set,complement(image(intersection(u,powerset(a)),v)))* -> . % 299.97/300.33 57826[16:Rew:54986.0,48621.1] || equal(u,v)*+ -> equal(first(v),a)** ordered_pair_predicate(u)*. % 299.97/300.33 56765[16:Rew:54986.0,48468.0] || disjoint(complement(image(intersection(u,powerset(a)),v)),universal_set)* -> . % 299.97/300.33 56764[16:Rew:54986.0,48467.0] || member(universal_set,powerset(image(intersection(u,powerset(a)),v)))* -> . % 299.97/300.33 56762[16:Rew:54986.0,48465.0] || disjoint(universal_set,complement(image(restrict(powerset(a),u),v)))* -> . % 299.97/300.33 56761[16:Rew:54986.0,48464.0] || disjoint(complement(image(restrict(powerset(a),u),v)),universal_set)* -> . % 299.97/300.33 57822[16:Rew:54986.0,48620.1] || equal(u,v)*+ -> equal(second(v),a)** ordered_pair_predicate(u)*. % 299.97/300.33 56760[16:Rew:54986.0,48463.0] || member(universal_set,powerset(image(restrict(powerset(a),u),v)))* -> . % 299.97/300.33 56758[16:Rew:54986.0,48461.0] || disjoint(universal_set,complement(image(intersection(powerset(a),u),v)))* -> . % 299.97/300.33 56757[16:Rew:54986.0,48460.0] || disjoint(complement(image(intersection(powerset(a),u),v)),universal_set)* -> . % 299.97/300.33 56756[16:Rew:54986.0,48459.0] || member(universal_set,powerset(image(intersection(powerset(a),u),v)))* -> . % 299.97/300.33 56194[16:Rew:54986.0,47900.1] || member(u,v)*+ -> equal(u,a) ordered_pair_predicate(f26(u))*. % 299.97/300.33 56754[16:Rew:54986.0,48457.0] || disjoint(universal_set,complement(image(u,cross_product(powerset(a),v))))* -> . % 299.97/300.33 78580[16:Res:5770.1,56189.0] ordered_pair_predicate(u) || -> equal(u,a) little_set(f26(u))*. % 299.97/300.33 78841[16:MRR:78798.0,55129.0] || -> little_set(f26(sigma(infinity)))*. % 299.97/300.33 78840[16:MRR:78755.0,55094.0] || -> little_set(f26(infinity))*. % 299.97/300.33 56189[16:Rew:54986.0,49000.1] || member(u,v)*+ -> equal(u,a) little_set(f26(u))*. % 299.97/300.33 56753[16:Rew:54986.0,48456.0] || disjoint(complement(image(u,cross_product(powerset(a),v))),universal_set)* -> . % 299.97/300.33 56752[16:Rew:54986.0,48455.0] || member(universal_set,powerset(image(u,cross_product(powerset(a),v))))* -> . % 299.97/300.33 56725[16:Rew:54986.0,48396.1] || disjoint(sigma(complement(u)),infinity)* -> member(powerset(a),u). % 299.97/300.33 78081[16:Res:58828.1,38281.0] || disjoint(universal_set,u) -> equal(compose(u,v),a)**. % 299.97/300.33 56724[16:Rew:54986.0,48397.1] || disjoint(universal_set,sigma(complement(u)))* -> member(powerset(a),u). % 299.97/300.33 56723[16:Rew:54986.0,48398.1] || disjoint(sigma(complement(u)),universal_set)* -> member(powerset(a),u). % 299.97/300.33 56719[16:Rew:54986.0,48406.1] || subset(universal_set,sigma(powerset(u)))* -> member(powerset(a),u). % 299.97/300.33 77644[16:Res:58828.1,38162.0] || disjoint(universal_set,u) -> equal(compose(v,u),a)**. % 299.97/300.33 56718[16:Rew:54986.0,48407.1] || subset(universal_set,complement(complement(u)))* -> member(powerset(a),u). % 299.97/300.33 56717[16:Rew:54986.0,48408.1] || subset(universal_set,complement(u))* member(powerset(a),u) -> . % 299.97/300.33 56695[16:Rew:54986.0,48389.1] || member(universal_set,powerset(powerset(u)))* -> subset(powerset(a),u). % 299.97/300.33 77104[16:Res:58828.1,26865.0] || disjoint(universal_set,u) -> equal(image(u,v),a)**. % 299.97/300.33 58917[16:Rew:54986.0,56694.1] || subset(powerset(a),u)*+ subset(powerset(u),a)* -> . % 299.97/300.33 56693[16:Rew:54986.0,48391.1] || disjoint(complement(powerset(u)),universal_set)* -> subset(powerset(a),u). % 299.97/300.33 56692[16:Rew:54986.0,48392.1] || disjoint(universal_set,complement(powerset(u)))* -> subset(powerset(a),u). % 299.97/300.33 76527[16:Res:58828.1,25630.0] || disjoint(universal_set,u) -> equal(image(v,u),a)**. % 299.97/300.33 58916[16:Rew:54986.0,56691.1] || -> subset(powerset(a),u) equal(f17(powerset(a),u),a)**. % 299.97/300.33 56674[16:Rew:54986.0,48417.1] || disjoint(singleton_set(u),universal_set)* equal(powerset(a),u) -> . % 299.97/300.33 56673[16:Rew:54986.0,48418.1] || disjoint(universal_set,singleton_set(u))* equal(powerset(a),u) -> . % 299.97/300.33 75898[16:Res:58828.1,25496.0] || disjoint(universal_set,u) -> equal(apply(u,v),a)**. % 299.97/300.33 56672[16:Rew:54986.0,48419.1] || member(universal_set,powerset(singleton_set(u)))* -> equal(powerset(a),u). % 299.97/300.33 58915[16:Rew:54986.0,56671.1] || equal(powerset(a),u) subset(singleton_set(u),a)* -> . % 299.97/300.33 56670[16:Rew:54986.0,48421.1] || disjoint(complement(singleton_set(u)),universal_set)* -> equal(powerset(a),u). % 299.97/300.33 56669[16:Rew:54986.0,48422.1] || disjoint(universal_set,complement(singleton_set(u)))* -> equal(powerset(a),u). % 299.97/300.33 12889[0:Res:956.2,1238.0] || subset(u,v)* disjoint(v,universal_set) -> single_valued_set(u). % 299.97/300.33 58914[16:Rew:54986.0,56659.1] || -> disjoint(powerset(a),u) equal(f23(powerset(a),u),a)**. % 299.97/300.33 58913[16:Rew:54986.0,56658.1] || -> disjoint(u,powerset(a)) equal(f23(u,powerset(a)),a)**. % 299.97/300.33 56431[16:Rew:54986.0,48371.1] || member(infinity,u) disjoint(sigma(u),singleton_set(a))* -> . % 299.97/300.33 56410[16:Rew:54986.0,48365.0] || member(universal_set,powerset(image(intersection(u,singleton_set(a)),v)))* -> . % 299.97/300.33 57812[16:Rew:54986.0,48598.2] || subset(u,f25)* -> single_valued_set(u) equal(f19(u),a). % 299.97/300.33 56409[16:Rew:54986.0,48364.0] || disjoint(complement(image(intersection(u,singleton_set(a)),v)),universal_set)* -> . % 299.97/300.33 56408[16:Rew:54986.0,48363.0] || disjoint(universal_set,complement(image(intersection(u,singleton_set(a)),v)))* -> . % 299.97/300.33 56406[16:Rew:54986.0,48361.0] || member(universal_set,powerset(image(restrict(singleton_set(a),u),v)))* -> . % 299.97/300.33 56405[16:Rew:54986.0,48360.0] || disjoint(complement(image(restrict(singleton_set(a),u),v)),universal_set)* -> . % 299.97/300.33 56404[16:Rew:54986.0,48359.0] || disjoint(universal_set,complement(image(restrict(singleton_set(a),u),v)))* -> . % 299.97/300.33 56402[16:Rew:54986.0,48357.0] || member(universal_set,powerset(image(intersection(singleton_set(a),u),v)))* -> . % 299.97/300.33 56401[16:Rew:54986.0,48356.0] || disjoint(complement(image(intersection(singleton_set(a),u),v)),universal_set)* -> . % 299.97/300.33 56400[16:Rew:54986.0,48355.0] || disjoint(universal_set,complement(image(intersection(singleton_set(a),u),v)))* -> . % 299.97/300.33 56398[16:Rew:54986.0,48353.0] || member(universal_set,powerset(image(u,cross_product(singleton_set(a),v))))* -> . % 299.97/300.33 56397[16:Rew:54986.0,48352.0] || disjoint(complement(image(u,cross_product(singleton_set(a),v))),universal_set)* -> . % 299.97/300.33 56396[16:Rew:54986.0,48351.0] || disjoint(universal_set,complement(image(u,cross_product(singleton_set(a),v))))* -> . % 299.97/300.33 56390[16:Rew:54986.0,48292.0] || disjoint(u,singleton_set(a)) disjoint(complement(u),infinity)* -> . % 299.97/300.33 56226[16:Rew:54986.0,48137.0] || equal(a,u) disjoint(non_ordered_pair(u,v),infinity)* -> . % 299.97/300.33 56389[16:Rew:54986.0,48293.0] || disjoint(u,singleton_set(a))*+ disjoint(universal_set,complement(u))* -> . % 299.97/300.33 56388[16:Rew:54986.0,48295.0] || disjoint(u,singleton_set(a)) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 56364[16:Rew:54986.0,48302.1] || disjoint(sigma(complement(u)),infinity)* -> member(singleton_set(a),u). % 299.97/300.33 56363[16:Rew:54986.0,48303.1] || disjoint(universal_set,sigma(complement(u)))* -> member(singleton_set(a),u). % 299.97/300.33 56225[16:Rew:54986.0,48140.0] || equal(a,u) disjoint(non_ordered_pair(v,u),infinity)* -> . % 299.97/300.33 56362[16:Rew:54986.0,48304.1] || disjoint(sigma(complement(u)),universal_set)* -> member(singleton_set(a),u). % 299.97/300.33 56359[16:Rew:54986.0,48310.1] || subset(universal_set,sigma(powerset(u)))* -> member(singleton_set(a),u). % 299.97/300.33 56358[16:Rew:54986.0,48311.1] || subset(universal_set,complement(complement(u)))* -> member(singleton_set(a),u). % 299.97/300.33 56357[16:Rew:54986.0,48312.1] || subset(universal_set,complement(u))* member(singleton_set(a),u) -> . % 299.97/300.33 58889[16:Rew:54986.0,55520.1] || -> equal(singleton_set(u),a) equal(f1(a,singleton_set(u)),u)**. % 299.97/300.33 56333[16:Rew:54986.0,48282.1] || member(universal_set,powerset(powerset(u)))* -> subset(singleton_set(a),u). % 299.97/300.33 56332[16:Rew:54986.0,48283.0] || subset(singleton_set(a),u)* subset(infinity,complement(u)) -> . % 299.97/300.33 56331[16:Rew:54986.0,48284.0] || subset(singleton_set(a),u)* subset(universal_set,complement(u)) -> . % 299.97/300.33 58912[16:Rew:54986.0,56330.1] || subset(singleton_set(a),u) subset(powerset(u),a)* -> . % 299.97/300.33 58888[16:Rew:54986.0,55519.1] || -> equal(singleton_set(u),a) equal(f1(singleton_set(u),a),u)**. % 299.97/300.33 56329[16:Rew:54986.0,48286.1] || disjoint(complement(powerset(u)),universal_set)* -> subset(singleton_set(a),u). % 299.97/300.33 56328[16:Rew:54986.0,48287.1] || disjoint(universal_set,complement(powerset(u)))* -> subset(singleton_set(a),u). % 299.97/300.33 58911[16:Rew:54986.0,56327.1] || subset(singleton_set(a),u)* member(a,complement(u)) -> . % 299.97/300.33 56316[16:Rew:54986.0,48339.1] || disjoint(singleton_set(u),universal_set)* equal(singleton_set(a),u) -> . % 299.97/300.33 55016[16:Rew:54986.0,1270.0] || equal(a,u) disjoint(non_ordered_pair(v,u),set_b)* -> . % 299.97/300.33 56315[16:Rew:54986.0,48340.1] || disjoint(universal_set,singleton_set(u))* equal(singleton_set(a),u) -> . % 299.97/300.33 56314[16:Rew:54986.0,48341.1] || member(universal_set,powerset(singleton_set(u)))* -> equal(singleton_set(a),u). % 299.97/300.33 58910[16:Rew:54986.0,56313.1] || equal(singleton_set(a),u) subset(singleton_set(u),a)* -> . % 299.97/300.33 56312[16:Rew:54986.0,48343.1] || disjoint(complement(singleton_set(u)),universal_set)* -> equal(singleton_set(a),u). % 299.97/300.33 55013[16:Rew:54986.0,1271.0] || equal(a,u) disjoint(non_ordered_pair(u,v),set_b)* -> . % 299.97/300.33 56311[16:Rew:54986.0,48344.1] || disjoint(universal_set,complement(singleton_set(u)))* -> equal(singleton_set(a),u). % 299.97/300.33 58909[16:Rew:54986.0,56238.1] || equal(a,u) -> member(a,complement(complement(singleton_set(u))))*. % 299.97/300.33 56236[16:Rew:54986.0,48113.1] || disjoint(successor(singleton_set(u)),universal_set)* equal(a,u) -> . % 299.97/300.33 57801[16:Rew:54986.0,48580.1] || -> single_valued_set(intersection(u,f25)) equal(f19(intersection(u,f25)),a)**. % 299.97/300.33 56235[16:Rew:54986.0,48114.1] || disjoint(successor(singleton_set(u)),infinity)* equal(a,u) -> . % 299.97/300.33 56234[16:Rew:54986.0,48115.1] || disjoint(universal_set,successor(singleton_set(u)))* equal(a,u) -> . % 299.97/300.33 58908[16:Rew:54986.0,56233.0] || disjoint(singleton_set(u),singleton_set(a))* equal(a,u) -> . % 299.97/300.33 58907[16:Rew:54986.0,56232.0] || disjoint(singleton_set(u),successor(a))* equal(a,u) -> . % 299.97/300.33 57800[16:Rew:54986.0,48579.1] || -> single_valued_set(intersection(f25,u)) equal(f19(intersection(f25,u)),a)**. % 299.97/300.33 56231[16:Rew:54986.0,48118.1] || disjoint(singleton_set(u),sigma(infinity))* equal(a,u) -> . % 299.97/300.33 58906[16:Rew:54986.0,56230.1] || equal(a,u) member(a,complement(singleton_set(u)))* -> . % 299.97/300.33 58904[16:Rew:54986.0,56228.1] || equal(a,u) subset(powerset(singleton_set(u)),a)* -> . % 299.97/300.33 55841[16:Rew:54986.0,48524.1] || subset(universal_set,powerset(u)) -> member(a,complement(complement(u)))*. % 299.97/300.33 56193[16:Rew:54986.0,47901.2] little_set(u) || disjoint(f25,f25)*+ -> equal(u,a)*. % 299.97/300.33 58902[16:Rew:54986.0,55800.0] || equal(singleton_set(a),u) -> member(a,sigma(singleton_set(u)))*. % 299.97/300.33 58901[16:Rew:54986.0,55799.0] || equal(powerset(a),u) -> member(a,sigma(singleton_set(u)))*. % 299.97/300.33 55798[16:Rew:54986.0,48543.1] || equal(sigma(infinity),u) -> member(a,sigma(singleton_set(u)))*. % 299.97/300.33 5309[0:Res:142.3,8.0] || closed(u,v) closed(non_ordered_pair(w,x),y) maps(z,non_ordered_pair(w,x),u)+ -> homomorphism(z,non_ordered_pair(w,x),y,u,v) equal(f32(z,non_ordered_pair(w,x),y,u,v),x)** equal(f32(z,non_ordered_pair(w,x),y,u,v),w)**. % 299.97/300.33 58900[16:Rew:54986.0,55697.0] || subset(singleton_set(a),u) -> member(a,sigma(powerset(u)))*. % 299.97/300.33 5264[0:Res:143.3,8.0] || closed(u,v) closed(non_ordered_pair(w,x),y) maps(z,non_ordered_pair(w,x),u)+ -> homomorphism(z,non_ordered_pair(w,x),y,u,v) equal(f33(z,non_ordered_pair(w,x),y,u,v),x)** equal(f33(z,non_ordered_pair(w,x),y,u,v),w)**. % 299.97/300.33 58899[16:Rew:54986.0,55696.0] || subset(powerset(a),u) -> member(a,sigma(powerset(u)))*. % 299.97/300.33 55695[16:Rew:54986.0,48542.1] || subset(sigma(infinity),u) -> member(a,sigma(powerset(u)))*. % 299.97/300.33 55585[16:Rew:54986.0,47947.1] || disjoint(complement(complement(complement(u))),infinity)* -> member(a,u). % 299.97/300.33 55584[16:Rew:54986.0,47948.1] || disjoint(universal_set,complement(complement(complement(u))))* -> member(a,u). % 299.97/300.33 4777[0:Res:52.1,8.0] || member(u,rotate_right(non_ordered_pair(v,w)))+ -> equal(ordered_pair(f10(u,non_ordered_pair(v,w)),ordered_pair(f11(u,non_ordered_pair(v,w)),f9(u,non_ordered_pair(v,w)))),w)** equal(ordered_pair(f10(u,non_ordered_pair(v,w)),ordered_pair(f11(u,non_ordered_pair(v,w)),f9(u,non_ordered_pair(v,w)))),v)**. % 299.97/300.33 55583[16:Rew:54986.0,47950.1] || disjoint(complement(complement(complement(u))),universal_set)* -> member(a,u). % 299.97/300.33 58892[16:Rew:54986.0,55582.0] || subset(complement(complement(singleton_set(a))),u)* -> member(a,u). % 299.97/300.33 55580[16:Rew:54986.0,47964.0] || member(a,u) disjoint(universal_set,complement(complement(u)))* -> . % 299.97/300.33 55579[16:Rew:54986.0,47972.0] || member(a,u) disjoint(complement(complement(u)),infinity)* -> . % 299.97/300.33 4629[0:Res:58.1,8.0] || member(u,flip_range_of(non_ordered_pair(v,w)))+ -> equal(ordered_pair(f12(u,non_ordered_pair(v,w)),ordered_pair(f14(u,non_ordered_pair(v,w)),f13(u,non_ordered_pair(v,w)))),w)** equal(ordered_pair(f12(u,non_ordered_pair(v,w)),ordered_pair(f14(u,non_ordered_pair(v,w)),f13(u,non_ordered_pair(v,w)))),v)**. % 299.97/300.33 55578[16:Rew:54986.0,47973.0] || member(a,u) disjoint(complement(complement(u)),universal_set)* -> . % 299.97/300.33 55171[16:Rew:54986.0,48040.1] || disjoint(sigma(complement(u)),infinity)* -> member(a,sigma(u)). % 299.97/300.33 55170[16:Rew:54986.0,48041.1] || disjoint(universal_set,sigma(complement(u)))* -> member(a,sigma(u)). % 299.97/300.33 6226[3:MRR:5318.0,6160.1] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z) equal(first(w),x1) -> homomorphism(y,second(w),x,u,v) member(f32(y,second(w),x,u,v),apply(z,x1))*. % 299.97/300.33 55169[16:Rew:54986.0,48042.1] || disjoint(sigma(complement(u)),universal_set)* -> member(a,sigma(u)). % 299.97/300.33 58883[16:Rew:375.0,55002.1] || disjoint(universal_set,u) member(singleton_set(singleton_set(a)),u)* -> . % 299.97/300.33 67256[16:Res:57732.0,1197.0] || disjoint(sigma(complement(range_of(cross_product(singleton_set(a),u)))),set_a)* -> . % 299.97/300.33 67254[16:Res:57732.0,54995.0] || disjoint(sigma(complement(range_of(cross_product(singleton_set(a),u)))),set_b)* -> . % 299.97/300.33 6225[3:MRR:5273.0,6160.1] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z) equal(first(w),x1) -> homomorphism(y,second(w),x,u,v) member(f33(y,second(w),x,u,v),apply(z,x1))*. % 299.97/300.33 57799[16:Rew:54986.0,48577.0] || member(a,restrict(intersection(universal_set,complement(singleton_set(a))),u))* -> . % 299.97/300.33 57798[16:Rew:54986.0,48576.0] || member(a,intersection(u,intersection(universal_set,complement(singleton_set(a)))))* -> . % 299.97/300.33 57797[16:Rew:54986.0,48575.0] || member(a,intersection(intersection(universal_set,complement(singleton_set(a))),u))* -> . % 299.97/300.33 5201[0:Res:120.1,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(second(f28(ordered_pair(w,u),x,y))) || member(ordered_pair(w,u),apply(x,y)) member(ordered_pair(w,v),second(f28(ordered_pair(w,u),x,y)))* -> equal(v,u). % 299.97/300.33 57172[16:Rew:54986.0,48488.0] || subset(f25,range_of(cross_product(ordered_pair(powerset(a),a),u)))* -> . % 299.97/300.33 57171[16:Rew:54986.0,48487.0] || subset(universal_set,range_of(cross_product(ordered_pair(powerset(a),a),u)))* -> . % 299.97/300.33 57134[16:Rew:54986.0,48259.0] || -> disjoint(successor(a),intersection(u,intersection(universal_set,complement(singleton_set(a)))))*. % 299.97/300.33 57133[16:Rew:54986.0,48258.0] || -> disjoint(intersection(u,intersection(universal_set,complement(singleton_set(a)))),successor(a))*. % 299.97/300.33 6086[0:MRR:6085.1,54.1] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),y)*+ member(ordered_pair(f12(w,x),u),z)* -> member(v,compose(z,y))*. % 299.97/300.33 57132[16:Rew:54986.0,48255.0] || -> disjoint(successor(a),restrict(intersection(universal_set,complement(singleton_set(a))),u))*. % 299.97/300.33 57131[16:Rew:54986.0,48254.0] || -> disjoint(restrict(intersection(universal_set,complement(singleton_set(a))),u),successor(a))*. % 299.97/300.33 57130[16:Rew:54986.0,48251.0] || -> disjoint(successor(a),intersection(intersection(universal_set,complement(singleton_set(a))),u))*. % 299.97/300.33 57129[16:Rew:54986.0,48250.0] || -> disjoint(intersection(intersection(universal_set,complement(singleton_set(a))),u),successor(a))*. % 299.97/300.33 6084[0:MRR:6083.1,48.1] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),y)*+ member(ordered_pair(f9(w,x),u),z)* -> member(v,compose(z,y))*. % 299.97/300.33 6082[0:MRR:6074.1,6074.2,132.1,131.1] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,w)* member(ordered_pair(u,f30(w,x,y)),z)*+ member(ordered_pair(f29(w,x,y),u),x1)* -> member(v,compose(x1,z))*. % 299.97/300.33 56375[16:Rew:54986.0,48335.0] || disjoint(sigma(complement(range_of(cross_product(singleton_set(a),u)))),infinity)* -> . % 299.97/300.33 56374[16:Rew:54986.0,48334.0] || disjoint(universal_set,sigma(complement(range_of(cross_product(singleton_set(a),u)))))* -> . % 299.97/300.33 5234[0:MRR:5193.0,3910.2] little_set(u) little_set(v) little_set(w) single_valued_set(cross_product(x,y)) || member(second(ordered_pair(w,u)),y)* member(first(ordered_pair(w,u)),x)* member(ordered_pair(w,v),cross_product(x,y))* -> equal(v,u)*. % 299.97/300.33 56373[16:Rew:54986.0,48333.0] || disjoint(sigma(complement(range_of(cross_product(singleton_set(a),u)))),universal_set)* -> . % 299.97/300.33 56279[16:Rew:54986.0,48261.0] || subset(infinity,intersection(u,intersection(universal_set,complement(singleton_set(a)))))* -> . % 299.97/300.33 56278[16:Rew:54986.0,48260.0] || subset(universal_set,intersection(u,intersection(universal_set,complement(singleton_set(a)))))* -> . % 299.97/300.33 56276[16:Rew:54986.0,48257.0] || subset(infinity,restrict(intersection(universal_set,complement(singleton_set(a))),u))* -> . % 299.97/300.33 4355[0:Res:135.1,8.0] || member(u,compose(non_ordered_pair(v,w),x))+ -> equal(ordered_pair(f29(u,non_ordered_pair(v,w),x),f31(u,non_ordered_pair(v,w),x)),w)** equal(ordered_pair(f29(u,non_ordered_pair(v,w),x),f31(u,non_ordered_pair(v,w),x)),v)**. % 299.97/300.33 56275[16:Rew:54986.0,48256.0] || subset(universal_set,restrict(intersection(universal_set,complement(singleton_set(a))),u))* -> . % 299.97/300.33 56273[16:Rew:54986.0,48253.0] || subset(infinity,intersection(intersection(universal_set,complement(singleton_set(a))),u))* -> . % 299.97/300.33 56272[16:Rew:54986.0,48252.0] || subset(universal_set,intersection(intersection(universal_set,complement(singleton_set(a))),u))* -> . % 299.97/300.33 58886[16:Rew:375.0,55006.0] || member(singleton_set(singleton_set(a)),restrict(cross_product(set_a,set_b),u))* -> . % 299.97/300.33 4280[0:Res:136.1,8.0] || member(u,compose(v,non_ordered_pair(w,x)))+ -> equal(ordered_pair(f31(u,v,non_ordered_pair(w,x)),f30(u,v,non_ordered_pair(w,x))),x)** equal(ordered_pair(f31(u,v,non_ordered_pair(w,x)),f30(u,v,non_ordered_pair(w,x))),w)**. % 299.97/300.33 58885[16:Rew:375.0,55005.0] || member(singleton_set(singleton_set(a)),intersection(cross_product(set_a,set_b),u))* -> . % 299.97/300.33 58884[16:Rew:375.0,55004.0] || member(singleton_set(singleton_set(a)),intersection(u,cross_product(set_a,set_b)))* -> . % 299.97/300.33 73446[17:Res:13775.1,73270.0] || member(universal_set,powerset(u))* -> member(a,u). % 299.97/300.33 73270[17:Rew:73253.0,57026.1] || subset(universal_set,sigma(powerset(u)))* -> member(a,u). % 299.97/300.33 6062[0:MRR:6061.0,54.1] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* member(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),y)*+ -> member(v,flip_range_of(y))*. % 299.97/300.33 73259[17:Rew:73253.0,57021.0] || subset(universal_set,apply(u,a))* -> . % 299.97/300.33 73253[17:Spt:58918.0] || -> equal(f1(a,universal_set),a)**. % 299.97/300.33 56770[16:Rew:54986.0,48428.1] || subset(universal_set,infinity) equal(successor(powerset(a)),universal_set)** -> . % 299.97/300.33 56287[16:Rew:54986.0,48300.1] || subset(universal_set,infinity) equal(successor(singleton_set(a)),universal_set)** -> . % 299.97/300.33 6060[0:MRR:6059.0,48.1] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* member(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),y)*+ -> member(v,flip_range_of(y))*. % 299.97/300.33 57739[16:Rew:54986.0,48619.1] || disjoint(u,universal_set) -> equal(compose(u,v),a)**. % 299.97/300.33 57737[16:Rew:54986.0,48618.1] || disjoint(u,universal_set) -> equal(compose(v,u),a)**. % 299.97/300.33 57736[16:Rew:54986.0,48617.1] || disjoint(u,universal_set) -> equal(image(u,v),a)**. % 299.97/300.33 57735[16:Rew:54986.0,48616.1] || disjoint(u,universal_set) -> equal(apply(u,v),a)**. % 299.97/300.33 5367[0:MRR:5366.0,54.1] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* member(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),y)*+ -> member(v,rotate_right(y))*. % 299.97/300.33 57734[16:Rew:54986.0,48615.1] || disjoint(u,universal_set) -> equal(image(v,u),a)**. % 299.97/300.33 57723[16:Rew:54986.0,48387.1] || disjoint(u,universal_set) -> equal(restrict(v,u),a)**. % 299.97/300.33 57721[16:Rew:54986.0,48386.1] || disjoint(u,universal_set) -> equal(restrict(u,v),a)**. % 299.97/300.33 57711[16:Rew:54986.0,48385.1] || disjoint(u,universal_set) -> equal(cross_product(v,u),a)**. % 299.97/300.33 5365[0:MRR:5364.0,48.1] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* member(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),y)*+ -> member(v,rotate_right(y))*. % 299.97/300.33 57710[16:Rew:54986.0,48384.1] || disjoint(u,universal_set) -> equal(intersection(v,u),a)**. % 299.97/300.33 57708[16:Rew:54986.0,48378.1] || disjoint(u,universal_set) -> equal(cross_product(u,v),a)**. % 299.97/300.33 57679[16:Rew:54986.0,48211.1] || disjoint(u,universal_set) -> equal(intersection(u,v),a)**. % 299.97/300.33 57516[16:Rew:54986.0,48165.1] || subset(complement(u),u)* -> equal(complement(u),a). % 299.97/300.33 5202[0:Res:33.2,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(intersection(x,y)) || member(ordered_pair(w,u),y)* member(ordered_pair(w,u),x)* member(ordered_pair(w,v),intersection(x,y))* -> equal(v,u)*. % 299.97/300.33 58880[16:Rew:54986.0,57336.1] || -> member(a,complement(u)) member(a,union(v,u))*. % 299.97/300.33 57335[16:Rew:54986.0,48514.1] || disjoint(u,powerset(v))*+ -> member(a,complement(u))*. % 299.97/300.33 56729[16:Rew:54986.0,48401.1] || subset(complement(u),u)* -> member(powerset(a),u). % 299.97/300.33 58873[16:Rew:54986.0,56251.1] || equal(a,u) -> member(a,non_ordered_pair(u,v))*. % 299.97/300.33 5307[0:Res:142.3,42.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) member(first(f32(z,cross_product(w,x),y,u,v)),w)*. % 299.97/300.33 58872[16:Rew:54986.0,56250.1] || equal(a,u) -> member(a,non_ordered_pair(v,u))*. % 299.97/300.33 56196[16:Rew:54986.0,47911.0] || equal(u,a) -> member(u,ordered_pair(universal_set,v))*. % 299.97/300.33 56195[16:Rew:54986.0,48708.1] ordered_pair_predicate(u) || -> equal(u,a) ordered_pair_predicate(f26(u))*. % 299.97/300.33 55629[16:Rew:54986.0,47942.1] || subset(infinity,restrict(u,v))* -> member(a,u). % 299.97/300.33 5308[0:Res:142.3,43.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) member(second(f32(z,cross_product(w,x),y,u,v)),x)*. % 299.97/300.33 55628[16:Rew:54986.0,47943.1] || subset(infinity,intersection(u,v))* -> member(a,u). % 299.97/300.33 58861[16:Rew:54986.0,55607.1] || -> member(a,u) member(a,complement(restrict(u,v)))*. % 299.97/300.33 58860[16:Rew:54986.0,55606.1] || -> member(a,u) member(a,complement(intersection(u,v)))*. % 299.97/300.33 58859[16:Rew:54986.0,55605.1] || -> member(a,u) member(a,complement(intersection(v,u)))*. % 299.97/300.33 5262[0:Res:143.3,42.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) member(first(f33(z,cross_product(w,x),y,u,v)),w)*. % 299.97/300.33 58858[16:Rew:54986.0,55604.1] || -> member(a,u) disjoint(restrict(u,v),powerset(a))*. % 299.97/300.33 58857[16:Rew:54986.0,55603.1] || -> member(a,u) disjoint(intersection(u,v),powerset(a))*. % 299.97/300.33 58856[16:Rew:54986.0,55602.1] || -> member(a,u) disjoint(intersection(v,u),powerset(a))*. % 299.97/300.33 55599[16:Rew:54986.0,47991.0] || member(a,u) disjoint(u,powerset(v))* -> . % 299.97/300.33 5263[0:Res:143.3,43.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) member(second(f33(z,cross_product(w,x),y,u,v)),x)*. % 299.97/300.33 58853[16:Rew:54986.0,55598.0] || -> disjoint(powerset(a),restrict(u,v))* member(a,u). % 299.97/300.33 58852[16:Rew:54986.0,55597.0] || -> disjoint(powerset(a),intersection(u,v))* member(a,u). % 299.97/300.33 55595[16:Rew:54986.0,48003.1] || subset(universal_set,restrict(u,v))* -> member(a,u). % 299.97/300.33 55594[16:Rew:54986.0,48004.1] || subset(universal_set,intersection(u,v))* -> member(a,u). % 299.97/300.33 6058[0:MRR:6043.0,6043.1,132.1,131.1] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z)*+ -> member(v,flip_range_of(z))*. % 299.97/300.33 55526[16:Rew:54986.0,48087.0] || -> equal(singleton_set(u),a) ordered_pair_predicate(ordered_pair(singleton_set(u),u))*. % 299.97/300.33 55525[16:Rew:54986.0,48089.0] || -> equal(singleton_set(u),a) equal(f26(singleton_set(u)),u)**. % 299.97/300.33 55524[16:Rew:54986.0,48093.0] || -> equal(singleton_set(u),a) equal(f24(singleton_set(u)),u)**. % 299.97/300.33 58850[16:Rew:54986.0,55443.0] || -> member(a,complement(u)) member(a,union(u,v))*. % 299.97/300.33 5363[0:MRR:5349.0,5349.1,132.1,131.1] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z)*+ -> member(v,rotate_right(z))*. % 299.97/300.33 55400[16:Rew:54986.0,48519.1] || member(powerset(u),v)* -> member(a,sigma(v)). % 299.97/300.33 55340[16:Rew:54986.0,48200.1] || subset(infinity,intersection(u,v))* -> member(a,v). % 299.97/300.33 55339[16:Rew:54986.0,48204.1] || subset(ordered_pair(universal_set,u),v)* -> member(a,v). % 299.97/300.33 58849[16:Rew:54986.0,55338.0] || -> disjoint(powerset(a),intersection(u,v))* member(a,v). % 299.97/300.33 6081[0:MRR:6072.1,6072.2,24.1,23.1] little_set(u) little_set(v) || member(w,second(x)) equal(v,x)* member(ordered_pair(u,f7(w,x)),y)*+ member(ordered_pair(f6(w,x),u),z)* -> member(v,compose(z,y))*. % 299.97/300.33 55337[16:Rew:54986.0,48208.1] || subset(universal_set,intersection(u,v))* -> member(a,v). % 299.97/300.33 70915[16:Res:65800.1,10964.0] || disjoint(successor(complement(u)),set_a)* -> member(a,u). % 299.97/300.33 70914[16:Res:65800.1,34.1] || disjoint(successor(u),set_a)* member(a,u) -> . % 299.97/300.33 70727[16:Res:65798.1,10964.0] || disjoint(successor(complement(u)),set_b)* -> member(a,u). % 299.97/300.33 6080[0:MRR:6073.1,6073.2,19.1,18.1] little_set(u) little_set(v) || member(w,first(x)) equal(v,x)* member(ordered_pair(u,f5(w,x)),y)*+ member(ordered_pair(f4(w,x),u),z)* -> member(v,compose(z,y))*. % 299.97/300.33 70726[16:Res:65798.1,34.1] || disjoint(successor(u),set_b)* member(a,u) -> . % 299.97/300.33 66491[16:Res:57629.0,1197.0] || disjoint(sigma(complement(apply_to_two_arguments(u,universal_set,v))),set_a)* -> . % 299.97/300.33 66489[16:Res:57629.0,54995.0] || disjoint(sigma(complement(apply_to_two_arguments(u,universal_set,v))),set_b)* -> . % 299.97/300.33 70951[16:Res:11437.1,65824.1] || subset(set_a,u)* disjoint(universal_set,u) -> . % 299.97/300.33 5203[0:Res:26.1,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(f7(ordered_pair(w,u),x)) || member(ordered_pair(w,u),second(x)) member(ordered_pair(w,v),f7(ordered_pair(w,u),x))* -> equal(v,u). % 299.97/300.33 65824[16:Res:57343.1,1197.0] || disjoint(universal_set,u) disjoint(complement(u),set_a)* -> . % 299.97/300.33 70936[16:Res:11437.1,65822.1] || subset(set_b,u)* disjoint(universal_set,u) -> . % 299.97/300.33 65822[16:Res:57343.1,54995.0] || disjoint(universal_set,u) disjoint(complement(u),set_b)* -> . % 299.97/300.33 70904[16:Res:65800.1,57350.0] || disjoint(successor(ordered_pair(universal_set,u)),set_a)* -> . % 299.97/300.33 5204[0:Res:21.1,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(f4(ordered_pair(w,u),x)) || member(ordered_pair(w,u),first(x)) member(ordered_pair(w,v),f4(ordered_pair(w,u),x))* -> equal(v,u). % 299.97/300.33 70903[16:Res:65800.1,57322.0] || disjoint(successor(powerset(u)),set_a)* -> . % 299.97/300.33 70902[16:Res:65800.1,55157.0] || disjoint(successor(successor(a)),set_a)* -> . % 299.97/300.33 70901[16:Res:65800.1,55156.0] || disjoint(successor(singleton_set(a)),set_a)* -> . % 299.97/300.33 70900[16:Res:65800.1,55158.0] || disjoint(successor(sigma(infinity)),set_a)* -> . % 299.97/300.33 5205[0:Res:67.1,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(f16(ordered_pair(w,u),x)) || member(ordered_pair(w,u),sigma(x)) member(ordered_pair(w,v),f16(ordered_pair(w,u),x))* -> equal(v,u). % 299.97/300.33 65800[16:Res:58841.1,1197.0] || disjoint(successor(u),set_a) -> member(a,complement(u))*. % 299.97/300.33 70716[16:Res:65798.1,57350.0] || disjoint(successor(ordered_pair(universal_set,u)),set_b)* -> . % 299.97/300.33 70715[16:Res:65798.1,57322.0] || disjoint(successor(powerset(u)),set_b)* -> . % 299.97/300.33 5314[0:Res:142.3,31.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) -> homomorphism(z,intersection(w,x),y,u,v) member(f32(z,intersection(w,x),y,u,v),w)*. % 299.97/300.33 70714[16:Res:65798.1,55157.0] || disjoint(successor(successor(a)),set_b)* -> . % 299.97/300.33 70713[16:Res:65798.1,55156.0] || disjoint(successor(singleton_set(a)),set_b)* -> . % 299.97/300.33 70712[16:Res:65798.1,55158.0] || disjoint(successor(sigma(infinity)),set_b)* -> . % 299.97/300.33 5315[0:Res:142.3,32.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) -> homomorphism(z,intersection(w,x),y,u,v) member(f32(z,intersection(w,x),y,u,v),x)*. % 299.97/300.33 65798[16:Res:58841.1,54995.0] || disjoint(successor(u),set_b) -> member(a,complement(u))*. % 299.97/300.33 70698[16:Res:11437.1,65786.1] || subset(set_a,u)* disjoint(u,infinity) -> . % 299.97/300.33 65786[16:Res:57341.1,1197.0] || disjoint(u,infinity) disjoint(complement(u),set_a)* -> . % 299.97/300.33 70607[16:Res:11437.1,65784.1] || subset(set_b,u)* disjoint(u,infinity) -> . % 299.97/300.33 5269[0:Res:143.3,31.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) -> homomorphism(z,intersection(w,x),y,u,v) member(f33(z,intersection(w,x),y,u,v),w)*. % 299.97/300.33 65784[16:Res:57341.1,54995.0] || disjoint(u,infinity) disjoint(complement(u),set_b)* -> . % 299.97/300.33 65015[16:Res:58835.1,1197.0] || equal(a,u) disjoint(successor(u),set_a)* -> . % 299.97/300.33 65013[16:Res:58835.1,54995.0] || equal(a,u) disjoint(successor(u),set_b)* -> . % 299.97/300.33 64452[16:Res:13992.1,55636.1] || disjoint(u,set_a) disjoint(universal_set,complement(u))* -> . % 299.97/300.33 5270[0:Res:143.3,32.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) -> homomorphism(z,intersection(w,x),y,u,v) member(f33(z,intersection(w,x),y,u,v),x)*. % 299.97/300.33 64449[16:Res:55020.1,55636.1] || disjoint(u,set_b) disjoint(universal_set,complement(u))* -> . % 299.97/300.33 64448[16:Res:1134.1,55636.1] || member(set_a,u) disjoint(universal_set,sigma(u))* -> . % 299.97/300.33 64446[16:Res:55009.1,55636.1] || member(set_b,u) disjoint(universal_set,sigma(u))* -> . % 299.97/300.33 64136[16:Res:55181.1,1197.0] || subset(infinity,u) disjoint(sigma(u),set_a)* -> . % 299.97/300.33 5163[0:MRR:5161.0,92.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* member(first(f22(v,w,x)),z)*+ -> member(u,image(z,y))*. % 299.97/300.33 64134[16:Res:55181.1,54995.0] || subset(infinity,u) disjoint(sigma(u),set_b)* -> . % 299.97/300.33 64120[16:Res:55180.1,1197.0] || subset(universal_set,u) disjoint(sigma(u),set_a)* -> . % 299.97/300.33 64118[16:Res:55180.1,54995.0] || subset(universal_set,u) disjoint(sigma(u),set_b)* -> . % 299.97/300.33 70377[16:Res:11437.1,64105.1] || subset(set_a,u)* disjoint(u,set_b) -> . % 299.97/300.33 6055[0:MRR:6041.0,6041.1,24.1,23.1] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y)*+ -> member(v,flip_range_of(y))*. % 299.97/300.33 64105[16:Res:55020.1,1197.0] || disjoint(u,set_b) disjoint(complement(u),set_a)* -> . % 299.97/300.33 60887[16:Res:55009.1,1197.0] || member(set_b,u) disjoint(sigma(u),set_a)* -> . % 299.97/300.33 60862[16:Res:55007.1,1197.0] || member(infinity,u) disjoint(sigma(u),set_a)* -> . % 299.97/300.33 70306[16:Res:11437.1,60817.1] || subset(set_b,u)* disjoint(u,set_a) -> . % 299.97/300.33 6054[0:MRR:6042.0,6042.1,19.1,18.1] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y)*+ -> member(v,flip_range_of(y))*. % 299.97/300.33 60817[16:Res:13992.1,54995.0] || disjoint(u,set_a) disjoint(complement(u),set_b)* -> . % 299.97/300.33 60815[16:Res:1134.1,54995.0] || member(set_a,u) disjoint(sigma(u),set_b)* -> . % 299.97/300.33 70291[16:Res:11437.1,60769.1] || subset(infinity,u)* disjoint(u,set_a) -> . % 299.97/300.33 60769[16:Res:13992.1,54989.0] || disjoint(u,set_a) disjoint(complement(u),infinity)* -> . % 299.97/300.33 5360[0:MRR:5347.0,5347.1,24.1,23.1] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y)*+ -> member(v,rotate_right(y))*. % 299.97/300.33 60767[16:Res:1134.1,54989.0] || member(set_a,u) disjoint(sigma(u),infinity)* -> . % 299.97/300.33 57731[16:Rew:54986.0,48607.0] || subset(complement(image(ordered_pair(universal_set,u),v)),a)* -> . % 299.97/300.33 57730[16:Rew:54986.0,48606.0] || -> member(a,sigma(complement(image(ordered_pair(universal_set,u),v))))*. % 299.97/300.33 57729[16:Rew:54986.0,48571.1] || member(infinity,u) subset(sigma(u),a)* -> . % 299.97/300.33 5359[0:MRR:5348.0,5348.1,19.1,18.1] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y)*+ -> member(v,rotate_right(y))*. % 299.97/300.33 57728[16:Rew:54986.0,48569.1] || member(infinity,u) -> member(a,sigma(sigma(u)))*. % 299.97/300.33 57724[16:Rew:54986.0,48476.0] || -> equal(non_ordered_pair(a,non_ordered_pair(universal_set,u)),ordered_pair(universal_set,u))**. % 299.97/300.33 57634[16:Rew:54986.0,48608.0] || subset(complement(u),a)* -> member(sigma(infinity),u). % 299.97/300.33 57633[16:Rew:54986.0,48609.1] || disjoint(u,infinity) subset(complement(u),a)* -> . % 299.97/300.33 6222[3:MRR:5121.0,6160.1] || member(u,flip_range_of(second(v))) member(v,w) equal(first(v),x) -> member(ordered_pair(f12(u,second(v)),ordered_pair(f14(u,second(v)),f13(u,second(v)))),apply(w,x))*. % 299.97/300.33 57520[16:Rew:54986.0,48191.0] || -> equal(complement(intersection(universal_set,complement(u))),union(a,u))**. % 299.97/300.33 58882[16:Rew:54986.0,57506.0] || -> member(a,complement(singleton_set(u)))* member(a,successor(u)). % 299.97/300.33 57505[16:Rew:54986.0,48530.1] || subset(infinity,singleton_set(u))* -> member(a,successor(u)). % 299.97/300.33 58881[16:Rew:54986.0,57504.0] || member(a,singleton_set(u)) -> member(a,successor(u))*. % 299.97/300.33 6221[3:MRR:5122.0,6160.1] || member(u,rotate_right(second(v))) member(v,w) equal(first(v),x) -> member(ordered_pair(f10(u,second(v)),ordered_pair(f11(u,second(v)),f9(u,second(v)))),apply(w,x))*. % 299.97/300.33 57402[16:Rew:54986.0,48097.0] || -> equal(complement(intersection(complement(u),universal_set)),union(u,a))**. % 299.97/300.33 57340[16:Rew:54986.0,48505.1] || disjoint(u,sigma(infinity)) -> member(a,complement(u))*. % 299.97/300.33 57339[16:Rew:54986.0,48507.1] || disjoint(universal_set,successor(u)) -> member(a,complement(u))*. % 299.97/300.33 57338[16:Rew:54986.0,48509.1] || disjoint(successor(u),infinity) -> member(a,complement(u))*. % 299.97/300.33 5300[0:Res:142.3,98.0] || closed(u,v) closed(w,x) maps(y,w,u) member(f32(y,w,x,u,v),z)* disjoint(z,w) -> homomorphism(y,w,x,u,v). % 299.97/300.33 57337[16:Rew:54986.0,48510.1] || disjoint(successor(u),universal_set) -> member(a,complement(u))*. % 299.97/300.33 57307[16:Rew:54986.0,48026.1] || disjoint(universal_set,complement(u))* subset(u,a) -> . % 299.97/300.33 57306[16:Rew:54986.0,48027.1] || disjoint(complement(u),universal_set)* subset(u,a) -> . % 299.97/300.33 57124[16:Rew:54986.0,48224.1] || subset(infinity,u) disjoint(u,successor(a))* -> . % 299.97/300.33 5301[0:Res:142.3,68.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z) -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),sigma(z))*. % 299.97/300.33 57123[16:Rew:54986.0,48227.1] || subset(universal_set,u) disjoint(u,successor(a))* -> . % 299.97/300.33 58879[16:Rew:54986.0,57122.1] || disjoint(u,successor(a)) -> member(a,complement(u))*. % 299.97/300.33 56763[16:Rew:54986.0,48466.0] || subset(universal_set,image(intersection(u,powerset(a)),v))* -> . % 299.97/300.33 5255[0:Res:143.3,98.0] || closed(u,v) closed(w,x) maps(y,w,u) member(f33(y,w,x,u,v),z)* disjoint(z,w) -> homomorphism(y,w,x,u,v). % 299.97/300.33 56759[16:Rew:54986.0,48462.0] || subset(universal_set,image(restrict(powerset(a),u),v))* -> . % 299.97/300.33 56755[16:Rew:54986.0,48458.0] || subset(universal_set,image(intersection(powerset(a),u),v))* -> . % 299.97/300.33 56751[16:Rew:54986.0,48454.0] || subset(universal_set,image(u,cross_product(powerset(a),v)))* -> . % 299.97/300.33 58878[16:Rew:54986.0,56730.0] || subset(complement(u),a)* -> member(powerset(a),u). % 299.97/300.33 5256[0:Res:143.3,68.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z) -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),sigma(z))*. % 299.97/300.33 56728[16:Rew:54986.0,48405.1] || member(universal_set,powerset(u)) -> member(powerset(a),u)*. % 299.97/300.33 56727[16:Rew:54986.0,48409.1] || disjoint(complement(u),universal_set) -> member(powerset(a),u)*. % 299.97/300.33 56726[16:Rew:54986.0,48410.1] || disjoint(universal_set,complement(u)) -> member(powerset(a),u)*. % 299.97/300.33 56696[16:Rew:54986.0,48395.1] || subset(universal_set,powerset(u)) -> subset(powerset(a),u)*. % 299.97/300.33 5313[0:Res:142.3,34.1] || closed(u,v) closed(complement(w),x) maps(y,complement(w),u) member(f32(y,complement(w),x,u,v),w)* -> homomorphism(y,complement(w),x,u,v). % 299.97/300.33 56676[16:Rew:54986.0,48423.1] || equal(u,universal_set) equal(powerset(a),u)* -> . % 299.97/300.33 56675[16:Rew:54986.0,48427.1] || subset(universal_set,singleton_set(u))* -> equal(powerset(a),u). % 299.97/300.33 56407[16:Rew:54986.0,48362.0] || subset(universal_set,image(intersection(u,singleton_set(a)),v))* -> . % 299.97/300.33 56403[16:Rew:54986.0,48358.0] || subset(universal_set,image(restrict(singleton_set(a),u),v))* -> . % 299.97/300.33 5268[0:Res:143.3,34.1] || closed(u,v) closed(complement(w),x) maps(y,complement(w),u) member(f33(y,complement(w),x,u,v),w)* -> homomorphism(y,complement(w),x,u,v). % 299.97/300.33 56399[16:Rew:54986.0,48354.0] || subset(universal_set,image(intersection(singleton_set(a),u),v))* -> . % 299.97/300.33 56395[16:Rew:54986.0,48350.0] || subset(universal_set,image(u,cross_product(singleton_set(a),v)))* -> . % 299.97/300.33 56393[16:Rew:54986.0,48291.1] || subset(infinity,u) disjoint(u,singleton_set(a))* -> . % 299.97/300.33 56392[16:Rew:54986.0,48294.1] || subset(universal_set,u) disjoint(u,singleton_set(a))* -> . % 299.97/300.33 5238[0:MRR:5237.1,54.1] little_set(u) single_valued_set(v) || member(w,flip_range_of(x)) member(w,v) member(ordered_pair(f12(w,x),u),v)*+ -> equal(u,ordered_pair(f13(w,x),f14(w,x)))*. % 299.97/300.33 58875[16:Rew:54986.0,56391.1] || disjoint(u,singleton_set(a)) -> member(a,complement(u))*. % 299.97/300.33 58874[16:Rew:54986.0,56368.0] || subset(complement(u),a)* -> member(singleton_set(a),u). % 299.97/300.33 56367[16:Rew:54986.0,48309.1] || member(universal_set,powerset(u)) -> member(singleton_set(a),u)*. % 299.97/300.33 56366[16:Rew:54986.0,48313.1] || disjoint(complement(u),universal_set) -> member(singleton_set(a),u)*. % 299.97/300.33 5236[0:MRR:5235.1,48.1] little_set(u) single_valued_set(v) || member(w,rotate_right(x)) member(w,v) member(ordered_pair(f9(w,x),u),v)*+ -> equal(u,ordered_pair(f10(w,x),f11(w,x)))*. % 299.97/300.33 56365[16:Rew:54986.0,48314.1] || disjoint(universal_set,complement(u)) -> member(singleton_set(a),u)*. % 299.97/300.33 56334[16:Rew:54986.0,48290.1] || subset(universal_set,powerset(u)) -> subset(singleton_set(a),u)*. % 299.97/300.33 56318[16:Rew:54986.0,48345.1] || equal(u,universal_set) equal(singleton_set(a),u)* -> . % 299.97/300.33 56317[16:Rew:54986.0,48349.1] || subset(universal_set,singleton_set(u))* -> equal(singleton_set(a),u). % 299.97/300.33 5302[0:Res:142.3,70.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z) -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),z)*. % 299.97/300.33 56296[16:Rew:54986.0,48270.0] || -> equal(apply_to_two_arguments(u,universal_set,universal_set),apply(u,singleton_set(a)))**. % 299.97/300.33 56249[16:Rew:54986.0,48125.0] || equal(a,u) disjoint(singleton_set(u),universal_set)* -> . % 299.97/300.33 58871[16:Rew:54986.0,56248.1] || equal(a,u) -> subset(powerset(a),singleton_set(u))*. % 299.97/300.33 56247[16:Rew:54986.0,48129.0] || equal(a,u) disjoint(universal_set,successor(u))* -> . % 299.97/300.33 5257[0:Res:143.3,70.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z) -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),z)*. % 299.97/300.33 56246[16:Rew:54986.0,48130.0] || equal(a,u) disjoint(universal_set,singleton_set(u))* -> . % 299.97/300.33 56245[16:Rew:54986.0,48131.0] || equal(a,u) disjoint(successor(u),infinity)* -> . % 299.97/300.33 56244[16:Rew:54986.0,48132.0] || equal(a,u) disjoint(successor(u),universal_set)* -> . % 299.97/300.33 56243[16:Rew:54986.0,48139.0] || equal(a,u) disjoint(singleton_set(u),infinity)* -> . % 299.97/300.33 5311[0:Res:142.3,76.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) -> homomorphism(y,powerset(w),x,u,v) subset(f32(y,powerset(w),x,u,v),w)*. % 299.97/300.33 58870[16:Rew:54986.0,55691.0] || -> member(singleton_set(a),u) member(a,sigma(complement(u)))*. % 299.97/300.33 58869[16:Rew:54986.0,55690.0] || -> member(powerset(a),u) member(a,sigma(complement(u)))*. % 299.97/300.33 55689[16:Rew:54986.0,48605.1] || -> member(sigma(infinity),u) member(a,sigma(complement(u)))*. % 299.97/300.33 55627[16:Rew:54986.0,47946.1] || subset(infinity,complement(complement(u)))* -> member(a,u). % 299.97/300.33 5266[0:Res:143.3,76.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) -> homomorphism(y,powerset(w),x,u,v) subset(f33(y,powerset(w),x,u,v),w)*. % 299.97/300.33 55626[16:Rew:54986.0,47949.1] || subset(universal_set,complement(complement(u)))* -> member(a,u). % 299.97/300.33 58868[16:Rew:54986.0,55625.1] || -> member(a,u) member(a,complement(complement(complement(u))))*. % 299.97/300.33 55624[16:Rew:54986.0,47953.1] || disjoint(complement(u),sigma(infinity))* -> member(a,u). % 299.97/300.33 58867[16:Rew:54986.0,55623.0] || disjoint(complement(u),successor(a))* -> member(a,u). % 299.97/300.33 5233[0:MRR:5190.0,5190.2,132.1,131.1] little_set(u) single_valued_set(v) || member(w,compose(x,y)) member(w,v) member(ordered_pair(f29(w,x,y),u),v)* -> equal(u,f30(w,x,y)). % 299.97/300.33 55622[16:Rew:54986.0,47955.0] || member(a,u) disjoint(u,sigma(infinity))* -> . % 299.97/300.33 58866[16:Rew:54986.0,55621.0] || disjoint(complement(u),singleton_set(a))* -> member(a,u). % 299.97/300.33 58865[16:Rew:54986.0,55620.1] || member(a,u) disjoint(u,successor(a))* -> . % 299.97/300.33 58864[16:Rew:54986.0,55619.1] || member(a,u) disjoint(u,singleton_set(a))* -> . % 299.97/300.33 6233[3:MRR:4480.0,6160.1] || member(second(f1(u,cross_product(v,w))),w)*+ member(first(f1(u,cross_product(v,w))),v)* member(f1(u,cross_product(v,w)),u)* -> equal(u,cross_product(v,w)). % 299.97/300.33 58863[16:Rew:54986.0,55618.0] || subset(powerset(complement(u)),a)* -> member(a,u). % 299.97/300.33 58862[16:Rew:54986.0,55617.1] || member(a,u) subset(powerset(u),a)* -> . % 299.97/300.33 55616[16:Rew:54986.0,47967.1] || disjoint(universal_set,successor(complement(u)))* -> member(a,u). % 299.97/300.33 55615[16:Rew:54986.0,47968.1] || disjoint(universal_set,successor(u))* member(a,u) -> . % 299.97/300.33 6220[3:MRR:5120.0,6160.1] || member(u,compose(second(v),w)) member(v,x) equal(first(v),y) -> member(ordered_pair(f29(u,second(v),w),f31(u,second(v),w)),apply(x,y))*. % 299.97/300.33 55614[16:Rew:54986.0,47971.1] || subset(infinity,complement(u))* member(a,u) -> . % 299.97/300.33 55613[16:Rew:54986.0,47974.1] || disjoint(universal_set,complement(powerset(u)))* -> member(a,u). % 299.97/300.33 55612[16:Rew:54986.0,47975.1] || disjoint(complement(powerset(u)),universal_set)* -> member(a,u). % 299.97/300.33 55611[16:Rew:54986.0,47977.1] || disjoint(successor(complement(u)),infinity)* -> member(a,u). % 299.97/300.33 6219[3:MRR:5123.0,6160.1] || member(u,compose(v,second(w))) member(w,x) equal(first(w),y) -> member(ordered_pair(f31(u,v,second(w)),f30(u,v,second(w))),apply(x,y))*. % 299.97/300.33 55610[16:Rew:54986.0,47978.1] || disjoint(successor(u),infinity)* member(a,u) -> . % 299.97/300.33 55609[16:Rew:54986.0,47979.1] || disjoint(successor(complement(u)),universal_set)* -> member(a,u). % 299.97/300.33 55608[16:Rew:54986.0,47980.1] || disjoint(successor(u),universal_set)* member(a,u) -> . % 299.97/300.33 58855[16:Rew:54986.0,55601.1] || member(a,u) -> member(a,complement(complement(u)))*. % 299.97/300.33 5224[0:SSi:5194.0,371.0] little_set(u) little_set(v) little_set(w) single_valued_set(non_ordered_pair(x,y)) || equal(ordered_pair(w,u),x)* member(ordered_pair(w,v),non_ordered_pair(x,y))* -> equal(v,u)*. % 299.97/300.33 58854[16:Rew:54986.0,55600.1] || member(a,u) -> disjoint(complement(u),powerset(a))*. % 299.97/300.33 58851[16:Rew:54986.0,55596.1] || member(a,u) -> disjoint(powerset(a),complement(u))*. % 299.97/300.33 55593[16:Rew:54986.0,48005.1] || subset(universal_set,complement(u))* member(a,u) -> . % 299.97/300.33 58848[16:Rew:54986.0,55179.0] || subset(complement(u),a)* -> member(a,sigma(u)). % 299.97/300.33 5223[0:SSi:5195.0,371.0] little_set(u) little_set(v) little_set(w) single_valued_set(non_ordered_pair(x,y)) || equal(ordered_pair(w,u),y)* member(ordered_pair(w,v),non_ordered_pair(x,y))* -> equal(v,u)*. % 299.97/300.33 58847[16:Rew:54986.0,55178.0] || -> member(a,sigma(complement(u)))* member(a,sigma(u)). % 299.97/300.33 55177[16:Rew:54986.0,48045.1] || member(sigma(infinity),u)* -> member(a,sigma(u)). % 299.97/300.33 58846[16:Rew:54986.0,55176.0] || member(successor(a),u)* -> member(a,sigma(u)). % 299.97/300.33 58845[16:Rew:54986.0,55175.0] || member(singleton_set(a),u)* -> member(a,sigma(u)). % 299.97/300.33 5127[0:MRR:5093.0,92.1] || member(u,image(v,w)) member(f22(u,v,w),x)* member(y,u)* equal(first(f22(u,v,w)),z)*+ -> member(y,apply(x,z))*. % 299.97/300.33 55174[16:Rew:54986.0,48049.1] || member(universal_set,powerset(u))* -> member(a,sigma(u)). % 299.97/300.33 55173[16:Rew:54986.0,48050.1] || disjoint(complement(u),universal_set) -> member(a,sigma(u))*. % 299.97/300.33 55172[16:Rew:54986.0,48051.1] || disjoint(universal_set,complement(u)) -> member(a,sigma(u))*. % 299.97/300.33 55015[16:Rew:54986.0,3057.0] || equal(a,u) disjoint(singleton_set(u),set_b)* -> . % 299.97/300.33 6057[0:MRR:6047.0,6047.1,6047.2,56.1,55.1,54.1] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x)*+ -> member(u,flip_range_of(x))*. % 299.97/300.33 53587[15:Res:48054.1,1194.0] || member(infinity,u) disjoint(sigma(u),set_b)* -> . % 299.97/300.33 67381[15:Res:11437.1,53531.1] || subset(infinity,u)* disjoint(u,set_b) -> . % 299.97/300.33 53531[15:Res:13993.1,48006.0] || disjoint(u,set_b) disjoint(complement(u),infinity)* -> . % 299.97/300.33 53529[15:Res:1133.1,48006.0] || member(set_b,u) disjoint(sigma(u),infinity)* -> . % 299.97/300.33 6056[0:MRR:6048.0,6048.1,6048.2,50.1,49.1,48.1] little_set(u) || member(v,rotate_right(w)) equal(u,v)* member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x)*+ -> member(u,flip_range_of(x))*. % 299.97/300.33 64004[16:Res:57626.0,1197.0] || disjoint(sigma(complement(image(singleton_set(a),u))),set_a)* -> . % 299.97/300.33 64002[16:Res:57626.0,54995.0] || disjoint(sigma(complement(image(singleton_set(a),u))),set_b)* -> . % 299.97/300.33 63987[16:Res:57625.0,1197.0] || disjoint(sigma(complement(apply(u,singleton_set(a)))),set_a)* -> . % 299.97/300.33 63985[16:Res:57625.0,54995.0] || disjoint(sigma(complement(apply(u,singleton_set(a)))),set_b)* -> . % 299.97/300.33 5362[0:MRR:5353.0,5353.1,5353.2,56.1,55.1,54.1] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x)*+ -> member(u,rotate_right(x))*. % 299.97/300.33 57733[16:Rew:54986.0,48612.0] || subset(complement(range_of(cross_product(singleton_set(a),u))),a)* -> . % 299.97/300.33 57732[16:Rew:54986.0,48611.0] || -> member(a,sigma(complement(range_of(cross_product(singleton_set(a),u)))))*. % 299.97/300.33 57155[16:Rew:54986.0,48486.0] || subset(universal_set,image(ordered_pair(powerset(a),a),u))* -> . % 299.97/300.33 57154[16:Rew:54986.0,48485.0] || subset(f25,image(ordered_pair(powerset(a),a),u))* -> . % 299.97/300.33 5361[0:MRR:5354.0,5354.1,5354.2,50.1,49.1,48.1] little_set(u) || member(v,rotate_right(w)) equal(u,v)* member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x)*+ -> member(u,rotate_right(x))*. % 299.97/300.33 56735[16:Rew:54986.0,48447.0] || member(universal_set,powerset(range_of(cross_product(powerset(a),u))))* -> . % 299.97/300.33 56734[16:Rew:54986.0,48446.0] || disjoint(universal_set,complement(range_of(cross_product(powerset(a),u))))* -> . % 299.97/300.33 5162[0:MRR:5160.0,106.1] little_set(u) || member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* member(first(f27(v,w)),y)*+ -> member(u,image(y,x))*. % 299.97/300.33 56733[16:Rew:54986.0,48445.0] || disjoint(complement(range_of(cross_product(powerset(a),u))),universal_set)* -> . % 299.97/300.33 56376[16:Rew:54986.0,48336.0] || member(universal_set,powerset(range_of(cross_product(singleton_set(a),u))))* -> . % 299.97/300.33 56372[16:Rew:54986.0,48332.0] || disjoint(complement(range_of(cross_product(singleton_set(a),u))),universal_set)* -> . % 299.97/300.33 5209[0:Res:46.1,82.4] little_set(first(u)) little_set(v) little_set(second(u)) single_valued_set(w) || member(u,converse(w)) member(ordered_pair(second(u),v),w)* -> equal(v,first(u)). % 299.97/300.33 56371[16:Rew:54986.0,48331.0] || disjoint(universal_set,complement(range_of(cross_product(singleton_set(a),u))))* -> . % 299.97/300.33 56302[16:Rew:54986.0,48328.0] || disjoint(sigma(complement(image(singleton_set(a),u))),infinity)* -> . % 299.97/300.33 56301[16:Rew:54986.0,48327.0] || disjoint(universal_set,sigma(complement(image(singleton_set(a),u))))* -> . % 299.97/300.33 56300[16:Rew:54986.0,48326.0] || disjoint(sigma(complement(image(singleton_set(a),u))),universal_set)* -> . % 299.97/300.33 4158[0:Res:33.2,7.0] || member(f1(u,intersection(v,w)),w)*+ member(f1(u,intersection(v,w)),v)* member(f1(u,intersection(v,w)),u)* -> equal(u,intersection(v,w)). % 299.97/300.33 56294[16:Rew:54986.0,48276.0] || disjoint(sigma(complement(apply(u,singleton_set(a)))),infinity)* -> . % 299.97/300.33 56293[16:Rew:54986.0,48275.0] || disjoint(universal_set,sigma(complement(apply(u,singleton_set(a)))))* -> . % 299.97/300.33 56292[16:Rew:54986.0,48274.0] || disjoint(sigma(complement(apply(u,singleton_set(a)))),universal_set)* -> . % 299.97/300.33 57623[16:Rew:54986.0,48574.0] || -> equal(image(complement(u),cross_product(u,v)),a)**. % 299.97/300.33 8204[3:MRR:6079.0,8203.2] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(u,f3(w)),x)*+ member(ordered_pair(f2(w),u),y)* -> member(v,compose(y,x))*. % 299.97/300.33 57399[16:Rew:54986.0,48095.1] || -> ordered_pair_predicate(u) equal(union(u,a),successor(u))**. % 299.97/300.33 57398[16:Rew:54986.0,48096.1] || -> little_set(u) equal(union(u,a),successor(u))**. % 299.97/300.33 57380[16:Rew:54986.0,48066.1] || disjoint(u,u)* -> equal(domain_of(u),a). % 299.97/300.33 57374[16:Rew:54986.0,48063.1] || disjoint(u,u)* -> equal(sigma(u),a). % 299.97/300.33 6053[0:SSi:6039.2,6039.1,14.1,15.1] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* member(ordered_pair(v,ordered_pair(f3(u),f2(u))),x)*+ -> member(w,flip_range_of(x))*. % 299.97/300.33 57363[16:Rew:54986.0,48057.1] || disjoint(u,u)* -> equal(range_of(u),a). % 299.97/300.33 57359[16:Rew:54986.0,48156.1] || disjoint(u,u)* -> equal(flip_range_of(u),a). % 299.97/300.33 57355[16:Rew:54986.0,48160.1] || disjoint(u,u)* -> equal(rotate_right(u),a). % 299.97/300.33 55530[16:Rew:54986.0,48081.0] || -> equal(singleton_set(u),a) disjoint(singleton_set(u),u)*. % 299.97/300.33 5358[0:SSi:5345.2,5345.1,14.1,15.1] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* member(ordered_pair(f2(u),ordered_pair(f3(u),v)),x)*+ -> member(w,rotate_right(x))*. % 299.97/300.33 55528[16:Rew:54986.0,48090.0] || -> equal(singleton_set(u),a) disjoint(u,singleton_set(u))*. % 299.97/300.33 55527[16:Rew:54986.0,48091.0] || -> equal(singleton_set(u),a) member(u,singleton_set(u))*. % 299.97/300.33 55341[16:Rew:54986.0,48206.1] || subset(powerset(u),v)* -> member(a,v). % 299.97/300.33 57630[16:Rew:54986.0,48604.0] || subset(complement(apply_to_two_arguments(u,universal_set,v)),a)* -> . % 299.97/300.33 5222[0:SSi:5198.0,371.0] little_set(u) little_set(v) little_set(w) single_valued_set(powerset(x)) || subset(ordered_pair(w,u),x)* member(ordered_pair(w,v),powerset(x))* -> equal(v,u)*. % 299.97/300.33 57629[16:Rew:54986.0,48603.0] || -> member(a,sigma(complement(apply_to_two_arguments(u,universal_set,v))))*. % 299.97/300.33 57519[16:Rew:54986.0,48193.0] || -> disjoint(union(a,u),intersection(universal_set,complement(u)))*. % 299.97/300.33 57518[16:Rew:54986.0,48192.0] || -> disjoint(intersection(universal_set,complement(u)),union(a,u))*. % 299.97/300.33 57517[16:Rew:54986.0,48164.1] || subset(universal_set,u)* -> equal(complement(u),a). % 299.97/300.33 6077[0:SSi:6069.3,371.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(u,v),x)*+ member(ordered_pair(w,u),y)* -> member(ordered_pair(w,v),compose(y,x))*. % 299.97/300.33 57401[16:Rew:54986.0,48099.0] || -> disjoint(union(u,a),intersection(complement(u),universal_set))*. % 299.97/300.33 57400[16:Rew:54986.0,48098.0] || -> disjoint(intersection(complement(u),universal_set),union(u,a))*. % 299.97/300.33 58844[16:Rew:54986.0,57396.1] || closed(a,u) -> maps(u,a,a)*. % 299.97/300.33 57394[16:Rew:54986.0,48055.1] || disjoint(universal_set,u)* -> equal(converse(u),a). % 299.97/300.33 5232[0:MRR:5231.1,54.1] little_set(u) single_valued_set(v) || member(w,flip_range_of(v)) member(ordered_pair(f12(w,v),u),v)*+ -> equal(u,ordered_pair(f14(w,v),f13(w,v)))*. % 299.97/300.33 57393[16:Rew:54986.0,48056.1] || disjoint(u,universal_set)* -> equal(converse(u),a). % 299.97/300.33 57379[16:Rew:54986.0,48067.1] || disjoint(universal_set,u)* -> equal(domain_of(u),a). % 299.97/300.33 58843[16:Rew:54986.0,57378.0] || closed(a,u)* -> equal(domain_of(u),a). % 299.97/300.33 57377[16:Rew:54986.0,48069.1] || disjoint(u,universal_set)* -> equal(domain_of(u),a). % 299.97/300.33 5230[0:MRR:5229.1,49.1] little_set(u) single_valued_set(v) || member(w,rotate_right(v)) member(ordered_pair(f10(w,v),u),v)*+ -> equal(u,ordered_pair(f11(w,v),f9(w,v)))*. % 299.97/300.33 57373[16:Rew:54986.0,48064.1] || disjoint(universal_set,u)* -> equal(sigma(u),a). % 299.97/300.33 57372[16:Rew:54986.0,48065.1] || disjoint(u,universal_set)* -> equal(sigma(u),a). % 299.97/300.33 57362[16:Rew:54986.0,48058.1] || disjoint(universal_set,u)* -> equal(range_of(u),a). % 299.97/300.33 58842[16:Rew:54986.0,57361.0] || closed(a,u)* -> equal(range_of(u),a). % 299.97/300.33 5226[0:MRR:5188.0,5188.2,24.1,23.1] little_set(u) single_valued_set(v) || member(w,second(x)) member(x,v) member(ordered_pair(f6(w,x),u),v)* -> equal(u,f7(w,x)). % 299.97/300.33 57360[16:Rew:54986.0,48060.1] || disjoint(u,universal_set)* -> equal(range_of(u),a). % 299.97/300.33 57358[16:Rew:54986.0,48157.1] || disjoint(universal_set,u)* -> equal(flip_range_of(u),a). % 299.97/300.33 57357[16:Rew:54986.0,48158.1] || disjoint(u,universal_set)* -> equal(flip_range_of(u),a). % 299.97/300.33 57354[16:Rew:54986.0,48161.1] || disjoint(universal_set,u)* -> equal(rotate_right(u),a). % 299.97/300.33 5225[0:MRR:5189.0,5189.2,19.1,18.1] little_set(u) single_valued_set(v) || member(w,first(x)) member(x,v) member(ordered_pair(f4(w,x),u),v)* -> equal(u,f5(w,x)). % 299.97/300.33 57353[16:Rew:54986.0,48162.1] || disjoint(u,universal_set)* -> equal(rotate_right(u),a). % 299.97/300.33 57343[16:Rew:54986.0,48506.1] || disjoint(universal_set,u) -> member(a,complement(u))*. % 299.97/300.33 58841[16:Rew:54986.0,57342.1] || -> member(a,complement(u)) member(a,successor(u))*. % 299.97/300.33 57341[16:Rew:54986.0,48516.1] || disjoint(u,infinity) -> member(a,complement(u))*. % 299.97/300.33 5221[0:SSi:5200.0,371.0] little_set(u) little_set(v) little_set(w) single_valued_set(complement(x)) || member(ordered_pair(w,v),complement(x))* -> member(ordered_pair(w,u),x)* equal(v,u)*. % 299.97/300.33 58840[16:Rew:54986.0,57317.1] || subset(u,a)* -> equal(rotate_right(u),a). % 299.97/300.33 58839[16:Rew:54986.0,57316.1] || subset(u,a)* -> equal(flip_range_of(u),a). % 299.97/300.33 57315[16:Rew:54986.0,48025.1] || subset(infinity,u)*+ subset(u,a)* -> . % 299.97/300.33 58838[16:Rew:54986.0,57314.1] || subset(u,a)* -> equal(range_of(u),a). % 299.97/300.33 5228[0:MRR:5210.0,5210.2,133.1,131.1] little_set(u) single_valued_set(v) || member(w,compose(v,x)) member(ordered_pair(f29(w,v,x),u),v)* -> equal(u,f31(w,v,x)). % 299.97/300.33 57313[16:Rew:54986.0,48029.1] || member(infinity,u) subset(u,a)* -> . % 299.97/300.33 57312[16:Rew:54986.0,48030.1] || subset(universal_set,u)*+ subset(u,a)* -> . % 299.97/300.33 58837[16:Rew:54986.0,57311.1] || subset(u,a)* -> equal(sigma(u),a). % 299.97/300.33 57310[16:Rew:54986.0,48032.1] || member(set_a,u) subset(u,a)* -> . % 299.97/300.33 5227[0:MRR:5213.0,5213.2,132.1,133.1] little_set(u) single_valued_set(v) || member(w,compose(x,v)) member(ordered_pair(f31(w,x,v),u),v)* -> equal(u,f30(w,x,v)). % 299.97/300.33 57309[16:Rew:54986.0,48033.1] || member(set_b,u) subset(u,a)* -> . % 299.97/300.33 58836[16:Rew:54986.0,57308.1] || subset(u,a)* -> equal(domain_of(u),a). % 299.97/300.33 6218[3:MRR:5108.0,6160.1] || member(u,v) equal(first(u),w)+ -> equal(second(u),x) member(f1(second(u),x),x)* member(f1(second(u),x),apply(v,w))*. % 299.97/300.33 57004[16:Rew:54986.0,48171.0] || equal(f1(universal_set,a),u)*+ -> little_set(u)*. % 299.97/300.33 57003[16:Rew:54986.0,48172.0] || equal(f1(universal_set,a),u)*+ -> ordered_pair_predicate(u)*. % 299.97/300.33 56731[16:Rew:54986.0,48411.1] || subset(universal_set,u) -> member(powerset(a),u)*. % 299.97/300.33 56369[16:Rew:54986.0,48315.1] || subset(universal_set,u) -> member(singleton_set(a),u)*. % 299.97/300.33 6217[3:MRR:5117.0,6160.1] || member(u,v) equal(first(u),w)+ -> equal(x,second(u)) member(f1(x,second(u)),x)* member(f1(x,second(u)),apply(v,w))*. % 299.97/300.33 58835[16:Rew:54986.0,56254.1] || equal(a,u) -> member(a,successor(u))*. % 299.97/300.33 58834[16:Rew:54986.0,56253.1] || equal(a,u) -> member(a,singleton_set(u))*. % 299.97/300.33 56252[16:Rew:54986.0,48134.1] || subset(universal_set,singleton_set(u))* -> equal(a,u). % 299.97/300.33 58833[16:Rew:54986.0,56198.1] || equal(u,a) -> member(u,singleton_set(a))*. % 299.97/300.33 5126[0:MRR:5092.0,106.1] || member(u,range_of(v)) member(f27(u,v),w)* member(x,u)* equal(first(f27(u,v)),y)*+ -> member(x,apply(w,y))*. % 299.97/300.33 56197[16:Rew:54986.0,47912.1] || equal(f24(u),universal_set)** -> equal(u,a). % 299.97/300.33 55763[16:Rew:54986.0,48145.1] || equal(u,universal_set) -> equal(second(u),a)**. % 299.97/300.33 55726[16:Rew:54986.0,48150.1] || equal(u,universal_set) -> equal(first(u),a)**. % 299.97/300.33 55641[16:Rew:54986.0,47957.1] || subset(infinity,powerset(u))* -> member(a,u). % 299.97/300.33 4775[0:Res:52.1,42.0] || member(u,rotate_right(cross_product(v,w))) -> member(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),v)*. % 299.97/300.33 55640[16:Rew:54986.0,47958.1] || subset(sigma(infinity),u)* -> member(a,u). % 299.97/300.33 58832[16:Rew:54986.0,55639.0] || subset(successor(a),u)* -> member(a,u). % 299.97/300.33 58831[16:Rew:54986.0,55638.0] || subset(singleton_set(a),u)* -> member(a,u). % 299.97/300.33 55637[16:Rew:54986.0,47969.1] || disjoint(universal_set,complement(u))* -> member(a,u). % 299.97/300.33 4776[0:Res:52.1,43.0] || member(u,rotate_right(cross_product(v,w))) -> member(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),w)*. % 299.97/300.33 55636[16:Rew:54986.0,47970.1] || disjoint(universal_set,u) member(a,u)* -> . % 299.97/300.33 55635[16:Rew:54986.0,47976.1] || member(infinity,powerset(u))* -> member(a,u). % 299.97/300.33 55634[16:Rew:54986.0,47992.1] || disjoint(complement(u),universal_set)* -> member(a,u). % 299.97/300.33 58830[16:Rew:54986.0,55633.1] || -> member(a,u) subset(powerset(a),complement(u))*. % 299.97/300.33 4627[0:Res:58.1,42.0] || member(u,flip_range_of(cross_product(v,w))) -> member(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),v)*. % 299.97/300.33 58829[16:Rew:54986.0,55632.1] || member(a,u) -> subset(powerset(a),u)*. % 299.97/300.33 55631[16:Rew:54986.0,48000.1] || subset(universal_set,powerset(u))* -> member(a,u). % 299.97/300.33 55630[16:Rew:54986.0,48009.1] || disjoint(complement(u),infinity)* -> member(a,u). % 299.97/300.33 4628[0:Res:58.1,43.0] || member(u,flip_range_of(cross_product(v,w))) -> member(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),w)*. % 299.97/300.33 55529[16:Rew:54986.0,48082.1] || equal(u,universal_set) -> equal(singleton_set(u),a)**. % 299.97/300.33 55181[16:Rew:54986.0,48046.1] || subset(infinity,u) -> member(a,sigma(u))*. % 299.97/300.33 55180[16:Rew:54986.0,48053.1] || subset(universal_set,u) -> member(a,sigma(u))*. % 299.97/300.33 55020[16:Rew:54986.0,13993.1] || disjoint(u,set_b) -> member(a,complement(u))*. % 299.97/300.33 18198[3:MRR:4482.0,18197.1] ordered_pair_predicate(u) || member(second(ordered_pair(second(u),first(u))),v)*+ member(first(ordered_pair(second(u),first(u))),w)* -> member(u,converse(cross_product(w,v)))*. % 299.97/300.33 54998[16:Rew:54986.0,1268.1] || disjoint(complement(u),set_b)* -> member(a,u). % 299.97/300.33 54994[16:Rew:54986.0,17017.1] || member(set_b,powerset(u))* -> member(a,u). % 299.97/300.33 64029[16:Res:11437.1,62990.0] || subset(set_a,complement(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 62990[16:Res:57351.0,1197.0] || disjoint(complement(complement(ordered_pair(universal_set,u))),set_a)* -> . % 299.97/300.33 6185[3:MRR:5317.0,6158.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) ordered_pair_predicate(f32(y,w,x,u,v))*. % 299.97/300.33 64020[16:Res:11437.1,62988.0] || subset(set_b,complement(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 62988[16:Res:57351.0,54995.0] || disjoint(complement(complement(ordered_pair(universal_set,u))),set_b)* -> . % 299.97/300.33 57628[16:Rew:54986.0,48602.0] || subset(complement(image(singleton_set(a),u)),a)* -> . % 299.97/300.33 57627[16:Rew:54986.0,48601.0] || subset(complement(apply(u,singleton_set(a))),a)* -> . % 299.97/300.33 6184[3:MRR:5272.0,6158.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) ordered_pair_predicate(f33(y,w,x,u,v))*. % 299.97/300.33 57626[16:Rew:54986.0,48600.0] || -> member(a,sigma(complement(image(singleton_set(a),u))))*. % 299.97/300.33 57625[16:Rew:54986.0,48599.0] || -> member(a,sigma(complement(apply(u,singleton_set(a)))))*. % 299.97/300.33 57624[16:Rew:54986.0,48581.0] || equal(f1(universal_set,ordered_pair(universal_set,u)),a)** -> . % 299.97/300.33 57621[16:Rew:54986.0,48546.0] || subset(universal_set,apply_to_two_arguments(u,powerset(a),a))* -> . % 299.97/300.33 5304[0:Res:142.3,4.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) little_set(f32(y,w,x,u,v))*. % 299.97/300.33 57620[16:Rew:54986.0,48545.0] || subset(f25,apply_to_two_arguments(u,powerset(a),a))* -> . % 299.97/300.33 57619[16:Rew:54986.0,48477.0] || equal(f1(ordered_pair(universal_set,u),universal_set),a)** -> . % 299.97/300.33 5259[0:Res:143.3,4.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) little_set(f33(y,w,x,u,v))*. % 299.97/300.33 56732[16:Rew:54986.0,48444.0] || subset(universal_set,range_of(cross_product(powerset(a),u)))* -> . % 299.97/300.33 56686[16:Rew:54986.0,48439.0] || member(universal_set,powerset(apply(u,powerset(a))))* -> . % 299.97/300.33 56685[16:Rew:54986.0,48438.0] || disjoint(universal_set,complement(apply(u,powerset(a))))* -> . % 299.97/300.33 56684[16:Rew:54986.0,48437.0] || disjoint(complement(apply(u,powerset(a))),universal_set)* -> . % 299.97/300.33 55746[16:Rew:54986.0,48141.3] little_set(second(u)) || member(u,v) equal(first(u),w) -> equal(second(u),a) member(f26(second(u)),apply(v,w))*. % 299.97/300.33 56682[16:Rew:54986.0,48435.0] || member(universal_set,powerset(image(powerset(a),u)))* -> . % 299.97/300.33 56681[16:Rew:54986.0,48434.0] || disjoint(universal_set,complement(image(powerset(a),u)))* -> . % 299.97/300.33 56680[16:Rew:54986.0,48433.0] || disjoint(complement(image(powerset(a),u)),universal_set)* -> . % 299.97/300.33 56370[16:Rew:54986.0,48330.0] || subset(universal_set,range_of(cross_product(singleton_set(a),u)))* -> . % 299.97/300.33 55754[16:Rew:54986.0,48142.2] || member(u,v) equal(first(u),w) -> equal(second(u),a) member(f24(second(u)),apply(v,w))*. % 299.97/300.33 56303[16:Rew:54986.0,48329.0] || member(universal_set,powerset(image(singleton_set(a),u)))* -> . % 299.97/300.33 56299[16:Rew:54986.0,48325.0] || disjoint(complement(image(singleton_set(a),u)),universal_set)* -> . % 299.97/300.33 56298[16:Rew:54986.0,48324.0] || disjoint(universal_set,complement(image(singleton_set(a),u)))* -> . % 299.97/300.33 56295[16:Rew:54986.0,48277.0] || member(universal_set,powerset(apply(u,singleton_set(a))))* -> . % 299.97/300.33 59546[16:Rew:54986.0,58395.3,54986.0,58395.2] || closed(u,v) closed(a,w) maps(x,a,u) -> homomorphism(x,a,w,u,v)*. % 299.97/300.33 56291[16:Rew:54986.0,48273.0] || disjoint(complement(apply(u,singleton_set(a))),universal_set)* -> . % 299.97/300.33 56290[16:Rew:54986.0,48272.0] || disjoint(universal_set,complement(apply(u,singleton_set(a))))* -> . % 299.97/300.33 57622[16:Rew:54986.0,48567.0] || member(a,intersection(universal_set,complement(singleton_set(a))))* -> . % 299.97/300.33 57107[16:Rew:54986.0,48249.0] || -> disjoint(successor(a),intersection(universal_set,complement(singleton_set(a))))*. % 299.97/300.33 57866[16:Rew:54986.0,48573.3] little_set(u) little_set(v) || member(ordered_pair(v,u),f25)* -> equal(v,a) equal(u,f26(v)). % 299.97/300.33 57106[16:Rew:54986.0,48248.0] || -> disjoint(intersection(universal_set,complement(singleton_set(a))),successor(a))*. % 299.97/300.33 56271[16:Rew:54986.0,48263.0] || subset(infinity,intersection(universal_set,complement(singleton_set(a))))* -> . % 299.97/300.33 56270[16:Rew:54986.0,48262.0] || subset(universal_set,intersection(universal_set,complement(singleton_set(a))))* -> . % 299.97/300.33 57320[16:Rew:54986.0,48036.0] || subset(u,a)*+ -> disjoint(u,v)*. % 299.97/300.33 55464[16:Rew:54986.0,48558.0] || -> equal(non_ordered_pair(u,v),a) equal(f26(non_ordered_pair(u,v)),v)** equal(f26(non_ordered_pair(u,v)),u)**. % 299.97/300.33 57319[16:Rew:54986.0,48037.0] || subset(u,a)*+ -> disjoint(v,u)*. % 299.97/300.33 57318[16:Rew:54986.0,48038.0] || subset(u,a)*+ -> subset(u,v)*. % 299.97/300.33 56205[16:Rew:54986.0,47908.0] || -> equal(u,a) disjoint(u,f24(u))*. % 299.97/300.33 56202[16:Rew:54986.0,47914.1] || disjoint(u,u)* -> equal(u,a). % 299.97/300.33 55463[16:Rew:54986.0,48559.0] || -> equal(non_ordered_pair(u,v),a) equal(f24(non_ordered_pair(u,v)),v)** equal(f24(non_ordered_pair(u,v)),u)**. % 299.97/300.33 56678[16:Rew:54986.0,48424.0] || equal(powerset(a),u)*+ -> little_set(u)*. % 299.97/300.33 56677[16:Rew:54986.0,48425.0] || equal(powerset(a),u)*+ -> ordered_pair_predicate(u)*. % 299.97/300.33 56320[16:Rew:54986.0,48346.0] || equal(singleton_set(a),u)*+ -> little_set(u)*. % 299.97/300.33 56319[16:Rew:54986.0,48347.0] || equal(singleton_set(a),u)*+ -> ordered_pair_predicate(u)*. % 299.97/300.33 57697[16:Rew:54986.0,48376.1] little_set(cross_product(u,v)) || -> equal(cross_product(u,v),a) member(first(f26(cross_product(u,v))),u)*. % 299.97/300.33 56204[16:Rew:54986.0,47910.0] || equal(u,a) -> member(u,universal_set)*. % 299.97/300.33 56203[16:Rew:54986.0,47913.0] || -> equal(u,a) member(f24(u),universal_set)*. % 299.97/300.33 56201[16:Rew:54986.0,47916.1] || disjoint(universal_set,u)* -> equal(u,a). % 299.97/300.33 58824[16:Rew:54986.0,56200.0] || subset(u,a)* -> equal(u,a). % 299.97/300.33 57696[16:Rew:54986.0,48377.1] little_set(cross_product(u,v)) || -> equal(cross_product(u,v),a) member(second(f26(cross_product(u,v))),v)*. % 299.97/300.33 56199[16:Rew:54986.0,47929.1] || disjoint(u,universal_set)* -> equal(u,a). % 299.97/300.33 58823[16:Rew:54986.0,55644.1] || -> member(a,u) disjoint(u,powerset(a))*. % 299.97/300.33 58822[16:Rew:54986.0,55643.1] || -> member(a,u) member(a,complement(u))*. % 299.97/300.33 58821[16:Rew:54986.0,55642.0] || -> disjoint(powerset(a),u)* member(a,u). % 299.97/300.33 56082[16:Rew:54986.0,47902.2] little_set(u) || member(f25,v) -> equal(u,a) member(ordered_pair(u,f26(u)),sigma(v))*. % 299.97/300.33 55532[16:Rew:54986.0,48083.0] || -> equal(singleton_set(u),a) member(u,universal_set)*. % 299.97/300.33 63031[16:Res:11437.1,62237.0] || subset(set_a,complement(powerset(u)))* -> . % 299.97/300.33 62237[16:Res:57323.0,1197.0] || disjoint(complement(complement(powerset(u))),set_a)* -> . % 299.97/300.33 62993[16:Res:11437.1,62235.0] || subset(set_b,complement(powerset(u)))* -> . % 299.97/300.33 56081[16:Rew:54986.0,47903.3] little_set(u) || member(ordered_pair(u,f26(u)),v)* disjoint(v,f25) -> equal(u,a). % 299.97/300.33 62235[16:Res:57323.0,54995.0] || disjoint(complement(complement(powerset(u))),set_b)* -> . % 299.97/300.33 57351[16:Rew:54986.0,48597.0] || -> member(a,complement(complement(ordered_pair(universal_set,u))))*. % 299.97/300.33 57350[16:Rew:54986.0,48587.0] || member(a,complement(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 57349[16:Rew:54986.0,48563.0] || subset(powerset(ordered_pair(universal_set,u)),a)* -> . % 299.97/300.33 57673[16:Rew:54986.0,48209.1] little_set(intersection(u,v)) || -> equal(intersection(u,v),a) member(f26(intersection(u,v)),v)*. % 299.97/300.33 57101[16:Rew:54986.0,48244.0] || disjoint(ordered_pair(universal_set,u),successor(a))* -> . % 299.97/300.33 56683[16:Rew:54986.0,48436.0] || subset(universal_set,apply(u,powerset(a)))* -> . % 299.97/300.33 56679[16:Rew:54986.0,48432.0] || subset(universal_set,image(powerset(a),u))* -> . % 299.97/300.33 56321[16:Rew:54986.0,48372.0] || disjoint(ordered_pair(universal_set,u),singleton_set(a))* -> . % 299.97/300.33 57672[16:Rew:54986.0,48210.1] little_set(intersection(u,v)) || -> equal(intersection(u,v),a) member(f26(intersection(u,v)),u)*. % 299.97/300.33 56297[16:Rew:54986.0,48323.0] || subset(universal_set,image(singleton_set(a),u))* -> . % 299.97/300.33 56289[16:Rew:54986.0,48271.0] || subset(universal_set,apply(u,singleton_set(a)))* -> . % 299.97/300.33 62929[16:Res:11437.1,62074.0] || subset(set_a,complement(singleton_set(a)))* -> . % 299.97/300.33 62074[16:Res:55161.0,1197.0] || disjoint(complement(complement(singleton_set(a))),set_a)* -> . % 299.97/300.33 56107[16:Rew:54986.0,47905.2] little_set(u) || subset(f25,v) -> equal(u,a) member(ordered_pair(u,f26(u)),v)*. % 299.97/300.33 57348[16:Rew:54986.0,48522.0] || equal(successor(f1(a,infinity)),universal_set)** -> . % 299.97/300.33 57347[16:Rew:54986.0,48521.0] || equal(successor(f1(infinity,a)),universal_set)** -> . % 299.97/300.33 57100[16:Rew:54986.0,48247.0] || disjoint(universal_set,complement(f24(successor(a))))* -> . % 299.97/300.33 57098[16:Rew:54986.0,48231.0] || disjoint(universal_set,complement(complement(successor(a))))* -> . % 299.97/300.33 56124[16:Rew:54986.0,47906.3] little_set(u) || member(f26(u),v)* disjoint(v,u) -> equal(u,a). % 299.97/300.33 62809[16:Res:11437.1,56269.0] || subset(set_b,complement(singleton_set(a)))* -> . % 299.97/300.33 56269[16:Rew:54986.0,54985.0] || disjoint(complement(complement(singleton_set(a))),set_b)* -> . % 299.97/300.33 56267[16:Rew:54986.0,48267.0] || disjoint(complement(complement(singleton_set(a))),infinity)* -> . % 299.97/300.33 56266[16:Rew:54986.0,48266.0] || disjoint(complement(complement(singleton_set(a))),universal_set)* -> . % 299.97/300.33 55061[16:Rew:54986.0,47907.2] little_set(u) || subset(u,v) -> equal(u,a) member(f26(u),v)*. % 299.97/300.33 56265[16:Rew:54986.0,48265.0] || disjoint(universal_set,complement(complement(singleton_set(a))))* -> . % 299.97/300.33 57321[16:Rew:54986.0,48035.0] || subset(u,a)* -> single_valued_set(u). % 299.97/300.33 57293[16:Rew:54986.0,48013.0] || -> equal(apply_to_two_arguments(a,u,v),a)**. % 299.97/300.33 55765[16:Rew:54986.0,48146.0] || -> equal(second(u),a)** ordered_pair_predicate(u). % 299.97/300.33 55138[16:Rew:54986.0,48163.2] little_set(complement(u)) || member(f26(complement(u)),u)* -> equal(complement(u),a). % 299.97/300.33 55764[16:Rew:54986.0,48147.0] || -> equal(second(u),a)** little_set(u). % 299.97/300.33 55728[16:Rew:54986.0,48151.0] || -> equal(first(u),a)** ordered_pair_predicate(u). % 299.97/300.33 55727[16:Rew:54986.0,48152.0] || -> equal(first(u),a)** little_set(u). % 299.97/300.33 55534[16:Rew:54986.0,48084.0] || -> equal(singleton_set(u),a)** ordered_pair_predicate(u). % 299.97/300.33 55533[16:Rew:54986.0,48092.0] || -> equal(singleton_set(u),a)** little_set(u). % 299.97/300.33 58920[16:Obv:57325.0] || disjoint(ordered_pair(universal_set,u),set_a)* -> . % 299.97/300.33 57324[16:Rew:54986.0,48548.0] || subset(powerset(powerset(u)),a)* -> . % 299.97/300.33 57323[16:Rew:54986.0,48523.0] || -> member(a,complement(complement(powerset(u))))*. % 299.97/300.33 55152[16:Rew:54986.0,48379.0] || -> equal(cross_product(u,v),a) member(first(f24(cross_product(u,v))),u)*. % 299.97/300.33 57322[16:Rew:54986.0,48517.0] || member(a,complement(powerset(u)))* -> . % 299.97/300.33 57099[16:Rew:54986.0,48239.0] || disjoint(powerset(u),successor(a))* -> . % 299.97/300.33 56656[16:Rew:54986.0,48452.0] || -> subset(powerset(a),ordered_pair(universal_set,u))*. % 299.97/300.33 56288[16:Rew:54986.0,48318.0] || disjoint(powerset(u),singleton_set(a))* -> . % 299.97/300.33 55151[16:Rew:54986.0,48380.0] || -> equal(cross_product(u,v),a) member(second(f24(cross_product(u,v))),v)*. % 299.97/300.33 51778[15:Obv:48490.0] || disjoint(ordered_pair(universal_set,u),set_b)* -> . % 299.97/300.33 55161[16:Rew:54986.0,48596.0] || -> member(a,complement(complement(singleton_set(a))))*. % 299.97/300.33 55160[16:Rew:54986.0,48591.0] || member(a,f24(successor(a)))* -> . % 299.97/300.33 55159[16:Rew:54986.0,48589.0] || member(a,f24(sigma(infinity)))* -> . % 299.97/300.33 55064[16:Rew:54986.0,47915.1] || member(u,v) -> equal(u,a) member(f26(u),sigma(v))*. % 299.97/300.33 55158[16:Rew:54986.0,48570.0] || member(a,complement(sigma(infinity)))* -> . % 299.97/300.33 55157[16:Rew:54986.0,48566.0] || member(a,complement(successor(a)))* -> . % 299.97/300.33 55156[16:Rew:54986.0,48564.0] || member(a,complement(singleton_set(a)))* -> . % 299.97/300.33 55155[16:Rew:54986.0,48562.0] || subset(powerset(singleton_set(a)),a)* -> . % 299.97/300.33 55063[16:Rew:54986.0,47917.2] || member(f24(u),v)* disjoint(v,u) -> equal(u,a). % 299.97/300.33 55154[16:Rew:54986.0,48475.0] || -> equal(f1(a,powerset(a)),a)**. % 299.97/300.33 55153[16:Rew:54986.0,48474.0] || -> equal(f1(powerset(a),a),a)**. % 299.97/300.33 55127[16:Rew:54986.0,48482.0] || -> member(ordered_pair(powerset(a),a),universal_set)*. % 299.97/300.33 55126[16:Rew:54986.0,48481.0] || -> member(ordered_pair(powerset(a),a),f25)*. % 299.97/300.33 55062[16:Rew:54986.0,47918.1] || member(u,v) -> equal(u,a) member(f24(u),sigma(v))*. % 299.97/300.33 55118[16:Rew:54986.0,48320.0] || disjoint(singleton_set(a),successor(a))* -> . % 299.97/300.33 55117[16:Rew:54986.0,48319.0] || disjoint(successor(a),singleton_set(a))* -> . % 299.97/300.33 55116[16:Rew:54986.0,48246.0] || subset(infinity,f24(successor(a)))* -> . % 299.97/300.33 55115[16:Rew:54986.0,48245.0] || subset(universal_set,f24(successor(a)))* -> . % 299.97/300.33 58999[16:Rew:375.0,55003.1] || subset(u,cross_product(set_a,set_b))* member(singleton_set(singleton_set(a)),u) -> . % 299.97/300.33 55114[16:Rew:54986.0,48241.0] || disjoint(successor(a),sigma(infinity))* -> . % 299.97/300.33 55113[16:Rew:54986.0,48240.0] || disjoint(sigma(infinity),successor(a))* -> . % 299.97/300.33 55112[16:Rew:54986.0,48238.0] || disjoint(successor(a),successor(a))* -> . % 299.97/300.33 55150[16:Rew:54986.0,48212.0] || -> equal(intersection(u,v),a) member(f24(intersection(u,v)),v)*. % 299.97/300.33 55109[16:Rew:54986.0,48235.0] || disjoint(successor(successor(a)),universal_set)* -> . % 299.97/300.33 55108[16:Rew:54986.0,48234.0] || disjoint(successor(successor(a)),infinity)* -> . % 299.97/300.33 55107[16:Rew:54986.0,48233.0] || disjoint(universal_set,successor(successor(a)))* -> . % 299.97/300.33 55149[16:Rew:54986.0,48213.0] || -> equal(intersection(u,v),a) member(f24(intersection(u,v)),u)*. % 299.97/300.33 55106[16:Rew:54986.0,48232.0] || subset(infinity,complement(successor(a)))* -> . % 299.97/300.33 55105[16:Rew:54986.0,48230.0] || subset(universal_set,complement(successor(a)))* -> . % 299.97/300.33 55087[16:Rew:54986.0,48169.0] || equal(f1(universal_set,a),universal_set)** -> . % 299.97/300.33 55065[16:Rew:54986.0,47920.1] || subset(u,v) -> equal(u,a) member(f24(u),v)*. % 299.97/300.33 55047[16:Rew:54986.0,48338.0] || disjoint(singleton_set(a),sigma(infinity))* -> . % 299.97/300.33 55046[16:Rew:54986.0,48337.0] || disjoint(sigma(infinity),singleton_set(a))* -> . % 299.97/300.33 55045[16:Rew:54986.0,48317.0] || disjoint(singleton_set(a),singleton_set(a))* -> . % 299.97/300.33 55066[16:Rew:54986.0,47921.1] little_set(u) || -> equal(u,a) ordered_pair_predicate(ordered_pair(u,f26(u)))*. % 299.97/300.33 55042[16:Rew:54986.0,48299.0] || disjoint(successor(singleton_set(a)),universal_set)* -> . % 299.97/300.33 55041[16:Rew:54986.0,48298.0] || disjoint(successor(singleton_set(a)),infinity)* -> . % 299.97/300.33 55040[16:Rew:54986.0,48297.0] || disjoint(universal_set,successor(singleton_set(a)))* -> . % 299.97/300.33 55139[16:Rew:54986.0,48166.1] || member(f24(complement(u)),u)* -> equal(complement(u),a). % 299.97/300.33 55039[16:Rew:54986.0,48268.0] || subset(infinity,complement(singleton_set(a)))* -> . % 299.97/300.33 55038[16:Rew:54986.0,48264.0] || subset(universal_set,complement(singleton_set(a)))* -> . % 299.97/300.33 58819[16:MRR:1417.0,55059.0] || disjoint(powerset(u),set_a)* -> . % 299.97/300.33 55148[16:Rew:54986.0,48561.0] || -> member(a,ordered_pair(universal_set,u))*. % 299.97/300.33 55147[16:Rew:54986.0,48383.0] || -> equal(restrict(u,a),a)**. % 299.97/300.33 55146[16:Rew:54986.0,48382.0] || -> equal(cross_product(a,u),a)**. % 299.97/300.33 55145[16:Rew:54986.0,48381.0] || -> equal(cross_product(u,a),a)**. % 299.97/300.33 55144[16:Rew:54986.0,48216.0] || -> equal(intersection(u,a),a)**. % 299.97/300.33 55068[16:Rew:54986.0,47922.1] little_set(u) || -> equal(u,a) ordered_pair_predicate(f26(u))*. % 299.97/300.33 55143[16:Rew:54986.0,48215.0] || -> equal(restrict(a,u),a)**. % 299.97/300.33 55142[16:Rew:54986.0,48214.0] || -> equal(intersection(a,u),a)**. % 299.97/300.33 55141[16:Rew:54986.0,48154.0] || -> equal(compose(a,u),a)**. % 299.97/300.33 55140[16:Rew:54986.0,48153.0] || -> equal(compose(u,a),a)**. % 299.97/300.33 55067[16:Rew:54986.0,47927.1] little_set(u) || -> equal(u,a) little_set(f26(u))*. % 299.97/300.33 55137[16:Rew:54986.0,48022.0] || -> equal(image(a,u),a)**. % 299.97/300.33 55136[16:Rew:54986.0,48014.0] || -> equal(image(u,a),a)**. % 299.97/300.33 55135[16:Rew:54986.0,48012.0] || -> equal(apply(a,u),a)**. % 299.97/300.33 55055[16:Rew:54986.0,48430.0] || -> subset(powerset(a),powerset(u))*. % 299.97/300.33 58828[16:Rew:54986.0,55069.1] || -> equal(u,a) member(f1(u,a),u)*. % 299.97/300.33 60730[16:Res:55120.0,1197.0] || disjoint(sigma(infinity),set_a)* -> . % 299.97/300.33 60719[16:Res:55119.0,1197.0] || disjoint(successor(a),set_a)* -> . % 299.97/300.33 58877[16:Obv:58876.0] || disjoint(singleton_set(a),set_a)* -> . % 299.97/300.33 58827[16:Rew:54986.0,55010.1] || -> equal(a,u) member(f1(a,u),u)*. % 299.97/300.33 55131[16:Rew:54986.0,48592.0] || equal(singleton_set(a),a)** -> . % 299.97/300.33 55130[16:Rew:54986.0,48590.0] || equal(successor(a),a)** -> . % 299.97/300.33 55129[16:Rew:54986.0,48588.0] || equal(sigma(infinity),a)** -> . % 299.97/300.33 55128[16:Rew:54986.0,48572.0] || -> equal(union(a,a),a)**. % 299.97/300.33 55009[16:Rew:54986.0,1133.1] || member(set_b,u) -> member(a,sigma(u))*. % 299.97/300.33 55125[16:Rew:54986.0,48480.0] || -> ordered_pair_predicate(ordered_pair(powerset(a),a))*. % 299.97/300.33 55124[16:Rew:54986.0,48479.0] || -> equal(f26(powerset(a)),a)**. % 299.97/300.33 55123[16:Rew:54986.0,48472.0] || -> equal(f24(powerset(a)),a)**. % 299.97/300.33 58820[16:Rew:54986.0,55122.1] || function(a) -> one_to_one_function(a)*. % 299.97/300.33 55007[16:Rew:54986.0,48054.1] || member(infinity,u) -> member(a,sigma(u))*. % 299.97/300.33 55104[16:Rew:54986.0,53497.0] || disjoint(successor(a),set_b)* -> . % 299.97/300.33 55103[16:Rew:54986.0,48242.0] || disjoint(infinity,successor(a))* -> . % 299.97/300.33 55102[16:Rew:54986.0,48220.0] || disjoint(universal_set,successor(a))* -> . % 299.97/300.33 60813[16:Res:1.0,54995.0] || disjoint(set_a,set_b)* -> . % 299.97/300.33 54995[16:Rew:54986.0,1194.0] || member(a,u)* disjoint(u,set_b) -> . % 299.97/300.33 55101[16:Rew:54986.0,48219.0] || disjoint(successor(a),infinity)* -> . % 299.97/300.33 55100[16:Rew:54986.0,48218.0] || disjoint(successor(a),universal_set)* -> . % 299.97/300.33 55099[16:Rew:54986.0,48217.0] || equal(successor(a),universal_set)** -> . % 299.97/300.33 54989[16:Rew:54986.0,48006.0] || member(a,u)* disjoint(u,infinity) -> . % 299.97/300.33 55054[16:Rew:54986.0,48453.0] || -> subset(powerset(a),singleton_set(a))*. % 299.97/300.33 55053[16:Rew:54986.0,48448.0] || member(universal_set,powerset(a))* -> . % 299.97/300.33 55052[16:Rew:54986.0,48416.0] || subset(universal_set,powerset(a))* -> . % 299.97/300.33 55051[16:Rew:54986.0,48415.0] || equal(powerset(a),universal_set)** -> . % 299.97/300.33 54996[16:Rew:54986.0,941.1] || subset(set_b,u)* -> member(a,u). % 299.97/300.33 55037[16:Rew:54986.0,51723.0] || disjoint(singleton_set(a),set_b)* -> . % 299.97/300.33 55036[16:Rew:54986.0,48370.0] || disjoint(infinity,singleton_set(a))* -> . % 299.97/300.33 55035[16:Rew:54986.0,48281.0] || disjoint(universal_set,singleton_set(a))* -> . % 299.97/300.33 55034[16:Rew:54986.0,48278.0] || disjoint(singleton_set(a),universal_set)* -> . % 299.97/300.33 54990[16:Rew:54986.0,48007.1] || subset(infinity,u)* -> member(a,u). % 299.97/300.33 55033[16:Rew:54986.0,48269.0] || disjoint(singleton_set(a),infinity)* -> . % 299.97/300.33 55121[16:Rew:54986.0,48498.0] || -> member(a,powerset(u))*. % 299.97/300.33 59824[16:Res:55028.0,1197.0] || disjoint(infinity,set_a)* -> . % 299.97/300.33 59813[16:Res:54987.0,1197.0] || disjoint(set_b,set_a)* -> . % 299.97/300.33 55071[16:Rew:54986.0,47923.0] || -> equal(u,a) ordered_pair_predicate(f24(u))*. % 299.97/300.33 58817[16:MRR:13929.0,55057.0] || disjoint(set_a,infinity)* -> . % 299.97/300.33 55120[16:Rew:54986.0,48568.0] || -> member(a,sigma(infinity))*. % 299.97/300.33 55119[16:Rew:54986.0,48565.0] || -> member(a,successor(a))*. % 299.97/300.33 55098[16:Rew:54986.0,48560.0] || -> member(a,singleton_set(a))*. % 299.97/300.33 55070[16:Rew:54986.0,47931.0] || -> equal(u,a) little_set(f24(u))*. % 299.97/300.33 55097[16:Rew:54986.0,48551.0] || subset(set_a,a)* -> . % 299.97/300.33 55096[16:Rew:54986.0,48550.0] || subset(set_b,a)* -> . % 299.97/300.33 55095[16:Rew:54986.0,48544.0] || subset(f25,a)* -> . % 299.97/300.33 55094[16:Rew:54986.0,48520.0] || equal(infinity,a)** -> . % 299.97/300.33 55072[16:Rew:54986.0,47925.1] little_set(u) || -> equal(u,a) member(ordered_pair(u,f26(u)),f25)*. % 299.97/300.33 55093[16:Rew:54986.0,48388.0] || -> equal(singleton_set(universal_set),a)**. % 299.97/300.33 55092[16:Rew:54986.0,48375.0] || subset(infinity,a)* -> . % 299.97/300.33 55073[16:Rew:54986.0,47926.1] little_set(u) || -> equal(u,a) member(f26(u),u)*. % 299.97/300.33 55086[16:Rew:54986.0,48173.0] || -> little_set(f1(universal_set,a))*. % 299.97/300.33 55085[16:Rew:54986.0,48168.0] || -> ordered_pair_predicate(f1(universal_set,a))*. % 299.97/300.33 55084[16:Rew:54986.0,48167.0] || -> equal(complement(a),universal_set)**. % 299.97/300.33 55083[16:Rew:54986.0,48159.0] || -> equal(rotate_right(a),a)**. % 299.97/300.33 58826[16:Rew:375.0,55001.0] || member(singleton_set(singleton_set(a)),cross_product(set_a,set_b))* -> . % 299.97/300.33 55082[16:Rew:54986.0,48155.0] || -> equal(flip_range_of(a),a)**. % 299.97/300.33 55081[16:Rew:54986.0,48039.0] || -> equal(f24(universal_set),a)**. % 299.97/300.33 55080[16:Rew:54986.0,48020.0] || -> equal(complement(universal_set),a)**. % 299.97/300.33 55079[16:Rew:54986.0,48019.0] || subset(universal_set,a)* -> . % 299.97/300.33 55075[16:Rew:54986.0,47928.0] || -> equal(u,a) disjoint(f24(u),u)*. % 299.97/300.33 55078[16:Rew:54986.0,48011.0] || -> equal(converse(a),a)**. % 299.97/300.33 55077[16:Rew:54986.0,47936.0] || -> equal(domain_of(a),a)**. % 299.97/300.33 55076[16:Rew:54986.0,47935.0] || -> equal(sigma(a),a)**. % 299.97/300.33 55060[16:Rew:54986.0,47934.0] || -> equal(range_of(a),a)**. % 299.97/300.33 55074[16:Rew:54986.0,47930.0] || -> equal(u,a) member(f24(u),u)*. % 299.97/300.33 55050[16:Rew:54986.0,48412.0] || -> member(powerset(a),universal_set)*. % 299.97/300.33 55032[16:Rew:54986.0,48321.0] || -> member(singleton_set(a),universal_set)*. % 299.97/300.33 55021[16:Rew:54986.0,14305.0] || equal(set_b,a)** -> . % 299.97/300.33 55059[16:Rew:54986.0,48018.0] || -> subset(a,u)*. % 299.97/300.33 55058[16:Rew:54986.0,47933.0] || -> disjoint(a,u)*. % 299.97/300.33 55057[16:Rew:54986.0,47932.0] || -> disjoint(u,a)*. % 299.97/300.33 55049[16:Rew:54986.0,48414.0] || -> little_set(powerset(a))*. % 299.97/300.33 55048[16:Rew:54986.0,48413.0] || -> ordered_pair_predicate(powerset(a))*. % 299.97/300.33 55029[16:Rew:54986.0,47898.0] || member(u,a)* -> . % 299.97/300.33 55031[16:Rew:54986.0,48322.0] || -> ordered_pair_predicate(singleton_set(a))*. % 299.97/300.33 55030[16:Rew:54986.0,47899.0] || -> equal(identity_relation,a)**. % 299.97/300.33 55027[16:Rew:54986.0,47895.0] || -> equal(empty_set,a)**. % 299.97/300.33 55025[16:Rew:54986.0,47894.0] || -> equal(estin,a)**. % 299.97/300.33 55028[16:Rew:54986.0,47897.0] || -> member(a,infinity)*. % 299.97/300.33 54987[16:Rew:54986.0,2.0] || -> member(a,set_b)*. % 299.97/300.33 55026[16:Rew:54986.0,48015.0] || -> single_valued_set(a)*. % 299.97/300.33 54986[16:Spt:51636.0] || -> equal(b,a)**. % 299.97/300.33 47800[7:EmS:10805.0,47769.0] || equal(f26(sigma(infinity)),universal_set)** -> . % 299.97/300.33 51669[15:MRR:1269.0,48018.0] || disjoint(powerset(u),set_b)* -> . % 299.97/300.33 53508[15:Res:48568.0,1194.0] || disjoint(sigma(infinity),set_b)* -> . % 299.97/300.33 52590[15:Res:47897.0,1194.0] || disjoint(infinity,set_b)* -> . % 299.97/300.33 51667[15:MRR:13921.0,47932.0] || disjoint(set_b,infinity)* -> . % 299.97/300.33 3819[0:Res:6.1,8.0] || -> equal(u,non_ordered_pair(v,w)) member(f1(u,non_ordered_pair(v,w)),u)* equal(f1(u,non_ordered_pair(v,w)),w) equal(f1(u,non_ordered_pair(v,w)),v). % 299.97/300.33 47799[12:EmS:10805.0,47766.0] || equal(f26(infinity),universal_set)** -> . % 299.97/300.33 47769[7:MRR:47740.0,35892.0] || -> ordered_pair_predicate(f26(sigma(infinity)))*. % 299.97/300.33 47766[12:MRR:47700.0,14418.0] || -> ordered_pair_predicate(f26(infinity))*. % 299.97/300.33 3837[0:Res:6.2,8.0] || -> equal(non_ordered_pair(u,v),w) member(f1(non_ordered_pair(u,v),w),w)* equal(f1(non_ordered_pair(u,v),w),v) equal(f1(non_ordered_pair(u,v),w),u). % 299.97/300.33 5830[3:Rew:5768.0,4125.1] ordered_pair_predicate(u) || subset(universal_set,v)*+ -> member(u,v)*. % 299.97/300.33 1558[0:Res:94.1,8.0] || member(u,image(non_ordered_pair(v,w),x))+ -> equal(first(f22(u,non_ordered_pair(v,w),x)),w)** equal(first(f22(u,non_ordered_pair(v,w),x)),v)**. % 299.97/300.33 4782[0:Res:52.1,31.0] || member(u,rotate_right(intersection(v,w))) -> member(ordered_pair(f10(u,intersection(v,w)),ordered_pair(f11(u,intersection(v,w)),f9(u,intersection(v,w)))),v)*. % 299.97/300.33 4783[0:Res:52.1,32.0] || member(u,rotate_right(intersection(v,w))) -> member(ordered_pair(f10(u,intersection(v,w)),ordered_pair(f11(u,intersection(v,w)),f9(u,intersection(v,w)))),w)*. % 299.97/300.33 43640[14:Res:42571.1,25810.0] || subset(universal_set,image(u,cross_product(ordered_pair(universal_set,v),w)))* -> . % 299.97/300.33 43638[14:Res:42571.1,25950.0] || subset(universal_set,image(restrict(ordered_pair(universal_set,u),v),w))* -> . % 299.97/300.33 43637[14:Res:42571.1,26103.0] || subset(universal_set,image(intersection(u,ordered_pair(universal_set,v)),w))* -> . % 299.97/300.33 4634[0:Res:58.1,31.0] || member(u,flip_range_of(intersection(v,w))) -> member(ordered_pair(f12(u,intersection(v,w)),ordered_pair(f14(u,intersection(v,w)),f13(u,intersection(v,w)))),v)*. % 299.97/300.33 43636[14:Res:42571.1,25946.0] || subset(universal_set,image(intersection(ordered_pair(universal_set,u),v),w))* -> . % 299.97/300.33 43615[14:Res:42571.1,1444.0] || subset(universal_set,singleton_set(u))*+ -> equal(ordered_pair(universal_set,v),u)*. % 299.97/300.33 43614[14:Res:42571.1,76.0] || subset(universal_set,powerset(u)) -> subset(ordered_pair(universal_set,v),u)*. % 299.97/300.33 4635[0:Res:58.1,32.0] || member(u,flip_range_of(intersection(v,w))) -> member(ordered_pair(f12(u,intersection(v,w)),ordered_pair(f14(u,intersection(v,w)),f13(u,intersection(v,w)))),w)*. % 299.97/300.33 44256[7:Res:1513.1,43760.0] || disjoint(complement(range_of(cross_product(ordered_pair(universal_set,u),v))),universal_set)* -> . % 299.97/300.33 44255[7:Res:13860.1,43760.0] || disjoint(universal_set,complement(range_of(cross_product(ordered_pair(universal_set,u),v))))* -> . % 299.97/300.33 42142[7:Res:41378.0,1218.0] || disjoint(sigma(complement(image(ordered_pair(universal_set,u),v))),infinity)* -> . % 299.97/300.33 6216[3:MRR:5111.0,6160.1] || member(u,image(second(v),w)) member(v,x) equal(first(v),y) -> member(first(f22(u,second(v),w)),apply(x,y))*. % 299.97/300.33 26322[7:Res:25871.1,1218.0] || disjoint(sigma(complement(u)),infinity)* -> member(sigma(infinity),u). % 299.97/300.33 1433[0:Res:86.1,8.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)** equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u)**. % 299.97/300.33 42141[8:Res:41378.0,21511.1] || disjoint(universal_set,sigma(complement(image(ordered_pair(universal_set,u),v))))* -> . % 299.97/300.33 26321[8:Res:25871.1,21511.1] || disjoint(universal_set,sigma(complement(u)))* -> member(sigma(infinity),u). % 299.97/300.33 1432[0:Res:87.1,8.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)** equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u)**. % 299.97/300.33 42137[7:Res:41378.0,1238.0] || disjoint(sigma(complement(image(ordered_pair(universal_set,u),v))),universal_set)* -> . % 299.97/300.33 26317[7:Res:25871.1,1238.0] || disjoint(sigma(complement(u)),universal_set)* -> member(sigma(infinity),u). % 299.97/300.33 6215[3:MRR:5116.0,6160.1] || member(u,apply(second(v),w)) member(v,x) equal(first(v),y) -> member(f28(u,second(v),w),apply(x,y))*. % 299.97/300.33 6214[3:MRR:5118.0,6160.1] || member(u,image(v,second(w))) member(w,x) equal(first(w),y) -> member(f22(u,v,second(w)),apply(x,y))*. % 299.97/300.33 6051[0:SSi:6038.3,371.0,371.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x) -> member(ordered_pair(w,ordered_pair(v,u)),flip_range_of(x))*. % 299.97/300.33 43623[14:Res:42571.1,20934.0] || subset(universal_set,range_of(cross_product(ordered_pair(universal_set,u),v)))* -> . % 299.97/300.33 42571[14:Res:42563.0,70.0] || subset(universal_set,u) -> member(ordered_pair(universal_set,v),u)*. % 299.97/300.33 41428[7:Res:41386.0,1218.0] || disjoint(sigma(complement(apply_to_two_arguments(u,universal_set,v))),infinity)* -> . % 299.97/300.33 41427[8:Res:41386.0,21511.1] || disjoint(universal_set,sigma(complement(apply_to_two_arguments(u,universal_set,v))))* -> . % 299.97/300.33 5356[0:SSi:5344.3,371.0,371.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x) -> member(ordered_pair(w,ordered_pair(v,u)),rotate_right(x))*. % 299.97/300.33 41423[7:Res:41386.0,1238.0] || disjoint(sigma(complement(apply_to_two_arguments(u,universal_set,v))),universal_set)* -> . % 299.97/300.33 4108[0:Res:120.1,377.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),apply(v,w)) -> member(u,converse(second(f28(ordered_pair(second(u),first(u)),v,w))))*. % 299.97/300.33 4109[0:Res:33.2,377.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)*+ member(ordered_pair(second(u),first(u)),w)* -> member(u,converse(intersection(w,v)))*. % 299.97/300.33 1443[0:Res:93.1,8.0] || member(u,image(v,non_ordered_pair(w,x)))* -> equal(f22(u,v,non_ordered_pair(w,x)),x) equal(f22(u,v,non_ordered_pair(w,x)),w). % 299.97/300.33 1442[0:Res:118.1,8.0] || member(u,apply(non_ordered_pair(v,w),x))* -> equal(f28(u,non_ordered_pair(v,w),x),w) equal(f28(u,non_ordered_pair(v,w),x),v). % 299.97/300.33 4353[0:Res:135.1,42.0] || member(u,compose(cross_product(v,w),x)) -> member(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),v)*. % 299.97/300.33 4354[0:Res:135.1,43.0] || member(u,compose(cross_product(v,w),x)) -> member(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),w)*. % 299.97/300.33 42563[14:Spt:42562.0,41324.1] || -> member(ordered_pair(universal_set,u),universal_set)*. % 299.97/300.33 42432[7:Res:1513.1,42140.0] || disjoint(complement(image(ordered_pair(universal_set,u),v)),universal_set)* -> . % 299.97/300.33 42529[7:Res:11550.1,42431.0] || subset(universal_set,image(ordered_pair(universal_set,u),v))* -> . % 299.97/300.33 42431[7:Res:13860.1,42140.0] || disjoint(universal_set,complement(image(ordered_pair(universal_set,u),v)))* -> . % 299.97/300.33 4278[0:Res:136.1,42.0] || member(u,compose(v,cross_product(w,x))) -> member(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),w)*. % 299.97/300.33 4279[0:Res:136.1,43.0] || member(u,compose(v,cross_product(w,x))) -> member(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),x)*. % 299.97/300.33 4973[0:MRR:4971.0,92.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y)*+ equal(u,v)* -> member(u,range_of(y))*. % 299.97/300.33 4927[0:MRR:4925.0,117.1] little_set(u) || member(v,apply(w,x)) member(f28(v,w,x),y)*+ equal(u,x)* -> member(u,domain_of(y))*. % 299.97/300.33 6212[3:MRR:5119.0,6160.1] || member(u,converse(second(v)))*+ member(v,w)* equal(first(v),x)* -> member(ordered_pair(second(u),first(u)),apply(w,x))*. % 299.97/300.33 4193[0:Res:126.3,130.2] function(u) little_set(u) little_set(v) || subset(range_of(u),v)* equal(domain_of(u),cross_product(v,v))*+ -> closed(v,u). % 299.97/300.33 41820[13:Spt:41819.0,41325.1] || -> ordered_pair_predicate(ordered_pair(universal_set,u))*. % 299.97/300.33 4360[0:Res:135.1,31.0] || member(u,compose(intersection(v,w),x)) -> member(ordered_pair(f29(u,intersection(v,w),x),f31(u,intersection(v,w),x)),v)*. % 299.97/300.33 41562[7:Res:1513.1,41426.0] || disjoint(complement(apply_to_two_arguments(u,universal_set,v)),universal_set)* -> . % 299.97/300.33 41566[7:Res:11550.1,41561.0] || subset(universal_set,apply_to_two_arguments(u,universal_set,v))* -> . % 299.97/300.33 4361[0:Res:135.1,32.0] || member(u,compose(intersection(v,w),x)) -> member(ordered_pair(f29(u,intersection(v,w),x),f31(u,intersection(v,w),x)),w)*. % 299.97/300.33 41561[7:Res:13860.1,41426.0] || disjoint(universal_set,complement(apply_to_two_arguments(u,universal_set,v)))* -> . % 299.97/300.33 4285[0:Res:136.1,31.0] || member(u,compose(v,intersection(w,x))) -> member(ordered_pair(f31(u,v,intersection(w,x)),f30(u,v,intersection(w,x))),w)*. % 299.97/300.33 41305[3:Res:11437.1,39781.1] || subset(complement(u),u)* disjoint(universal_set,u) -> . % 299.97/300.33 39781[3:Res:39698.1,20309.0] || disjoint(universal_set,u) disjoint(complement(u),complement(u))* -> . % 299.97/300.33 4286[0:Res:136.1,32.0] || member(u,compose(v,intersection(w,x))) -> member(ordered_pair(f31(u,v,intersection(w,x)),f30(u,v,intersection(w,x))),x)*. % 299.97/300.33 4122[0:MRR:4098.0,117.1] || member(u,apply(v,w)) member(ordered_pair(second(f28(u,v,w)),w),x)* -> member(f28(u,v,w),converse(x)). % 299.97/300.33 4121[0:MRR:4101.0,92.1] || member(u,image(v,w)) member(ordered_pair(u,first(f22(u,v,w))),x)* -> member(f22(u,v,w),converse(x)). % 299.97/300.33 26435[7:Res:26333.1,282.0] || subset(universal_set,restrict(u,v))* -> member(sigma(infinity),u). % 299.97/300.33 26429[7:Res:26333.1,32.0] || subset(universal_set,intersection(u,v))* -> member(sigma(infinity),v). % 299.97/300.33 26428[7:Res:26333.1,31.0] || subset(universal_set,intersection(u,v))* -> member(sigma(infinity),u). % 299.97/300.33 1464[0:SpR:119.1,46.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(x)) -> member(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.33 40620[2:Res:25246.0,10966.0] || -> equal(complement(u),universal_set) member(f1(universal_set,complement(u)),universal_set)*. % 299.97/300.33 40621[3:Res:25246.0,6160.0] || -> equal(complement(u),universal_set) ordered_pair_predicate(f1(universal_set,complement(u)))*. % 299.97/300.33 1468[0:SpR:95.1,46.1] || member(u,image(v,w)) member(f22(u,v,w),converse(x)) -> member(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.33 25246[2:Obv:25245.0] || -> member(f1(universal_set,complement(u)),u)* equal(complement(u),universal_set). % 299.97/300.33 6235[3:MRR:4479.0,6168.1] || member(second(f17(u,cross_product(v,w))),w)*+ member(first(f17(u,cross_product(v,w))),v)* -> subset(u,cross_product(v,w)). % 299.97/300.33 5070[0:MRR:5069.0,54.1] || member(u,flip_range_of(v)) member(w,ordered_pair(f13(u,v),f14(u,v)))*+ equal(x,u)* -> member(w,second(x))*. % 299.97/300.33 5068[0:MRR:5067.0,48.1] || member(u,rotate_right(v)) member(w,ordered_pair(f10(u,v),f11(u,v)))*+ equal(x,u)* -> member(w,second(x))*. % 299.97/300.33 39709[3:Res:13861.1,39682.0] || disjoint(u,u)*+ -> member(infinity,complement(u))*. % 299.97/300.33 39698[3:Res:13860.1,39682.0] || disjoint(universal_set,u) -> member(infinity,complement(u))*. % 299.97/300.33 4768[0:Res:52.1,98.0] || member(u,rotate_right(v)) member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)* disjoint(w,v) -> . % 299.97/300.33 39682[3:Res:11550.1,20718.0] || subset(u,complement(u))* -> member(infinity,complement(u)). % 299.97/300.33 20718[3:Res:13861.1,20704.0] || disjoint(u,complement(complement(u)))* -> member(infinity,complement(u)). % 299.97/300.33 4769[0:Res:52.1,68.0] || member(u,rotate_right(v)) member(v,w) -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),sigma(w))*. % 299.97/300.33 4620[0:Res:58.1,98.0] || member(u,flip_range_of(v)) member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)* disjoint(w,v) -> . % 299.97/300.33 4621[0:Res:58.1,68.0] || member(u,flip_range_of(v)) member(v,w) -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),sigma(w))*. % 299.97/300.33 6209[3:MRR:5113.0,6160.1] || member(u,domain_of(second(v))) member(v,w) equal(first(v),x) -> member(f8(u,second(v)),apply(w,x))*. % 299.97/300.33 20705[3:Res:13975.1,20605.0] || member(complement(sigma(u)),u)* -> member(infinity,sigma(u)). % 299.97/300.33 20607[3:SSi:20591.0,63.0,15957.0] || equal(infinity,u) disjoint(singleton_set(u),singleton_set(u))* -> . % 299.97/300.33 20606[3:SSi:20590.0,63.0,15957.0] || subset(infinity,u) disjoint(powerset(u),powerset(u))* -> . % 299.97/300.33 6208[3:MRR:5114.0,6160.1] || member(u,sigma(second(v))) member(v,w) equal(first(v),x) -> member(f16(u,second(v)),apply(w,x))*. % 299.97/300.33 18200[2:MRR:18145.1,11028.0] ordered_pair_predicate(u) || -> member(ordered_pair(second(u),first(u)),universal_set)*. % 299.97/300.33 6207[3:MRR:5115.0,6160.1] || member(u,range_of(second(v))) member(v,w) equal(first(v),x) -> member(f27(u,second(v)),apply(w,x))*. % 299.97/300.33 15937[2:SSi:15916.0,63.0] || equal(infinity,u) disjoint(universal_set,non_ordered_pair(v,u))* -> . % 299.97/300.33 15936[2:SSi:15915.0,63.0] || equal(infinity,u) disjoint(universal_set,non_ordered_pair(u,v))* -> . % 299.97/300.33 4457[0:Res:378.3,68.0] ordered_pair_predicate(u) || member(second(u),v)* member(first(u),w)* member(cross_product(w,v),x)*+ -> member(u,sigma(x))*. % 299.97/300.33 6211[3:MRR:5101.0,6160.1] || member(u,v) equal(first(u),w) -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f21(second(u))),apply(v,w))*. % 299.97/300.33 6210[3:MRR:5102.0,6160.1] || member(u,v) equal(first(u),w) -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f20(second(u))),apply(v,w))*. % 299.97/300.33 4781[0:Res:52.1,34.1] || member(u,rotate_right(complement(v))) member(ordered_pair(f10(u,complement(v)),ordered_pair(f11(u,complement(v)),f9(u,complement(v)))),v)* -> . % 299.97/300.33 4633[0:Res:58.1,34.1] || member(u,flip_range_of(complement(v))) member(ordered_pair(f12(u,complement(v)),ordered_pair(f14(u,complement(v)),f13(u,complement(v)))),v)* -> . % 299.97/300.33 5125[0:MRR:5124.0,117.1] || member(u,apply(v,w)) member(f28(u,v,w),x)*+ equal(w,y)* -> member(u,apply(x,y))*. % 299.97/300.33 38246[7:Res:11437.1,38212.0] || subset(infinity,complement(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 4346[0:Res:135.1,98.0] || member(u,compose(v,w)) member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)* disjoint(x,v) -> . % 299.97/300.33 38212[7:Res:38125.0,1218.0] || disjoint(complement(complement(ordered_pair(universal_set,u))),infinity)* -> . % 299.97/300.33 38211[8:Res:38125.0,21511.1] || disjoint(universal_set,complement(complement(ordered_pair(universal_set,u))))* -> . % 299.97/300.33 38235[7:Res:11437.1,38207.0] || subset(universal_set,complement(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 38207[7:Res:38125.0,1238.0] || disjoint(complement(complement(ordered_pair(universal_set,u))),universal_set)* -> . % 299.97/300.33 4347[0:Res:135.1,68.0] || member(u,compose(v,w)) member(v,x) -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),sigma(x))*. % 299.97/300.33 4271[0:Res:136.1,98.0] || member(u,compose(v,w)) member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)* disjoint(x,w) -> . % 299.97/300.33 4272[0:Res:136.1,68.0] || member(u,compose(v,w)) member(w,x) -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),sigma(x))*. % 299.97/300.33 4770[0:Res:52.1,70.0] || member(u,rotate_right(v)) subset(v,w) -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.33 4622[0:Res:58.1,70.0] || member(u,flip_range_of(v)) subset(v,w) -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.33 4972[0:MRR:4970.0,106.1] little_set(u) || member(v,range_of(w)) member(f27(v,w),x)*+ equal(u,v)* -> member(u,range_of(x))*. % 299.97/300.33 4926[0:MRR:4924.0,37.1] little_set(u) || member(v,domain_of(w)) member(f8(v,w),x)*+ equal(u,v)* -> member(u,domain_of(x))*. % 299.97/300.33 4458[0:Res:378.3,70.0] ordered_pair_predicate(u) || member(second(u),v)* member(first(u),w)* subset(cross_product(w,v),x)*+ -> member(u,x)*. % 299.97/300.33 4779[0:Res:52.1,76.0] || member(u,rotate_right(powerset(v))) -> subset(ordered_pair(f10(u,powerset(v)),ordered_pair(f11(u,powerset(v)),f9(u,powerset(v)))),v)*. % 299.97/300.33 4631[0:Res:58.1,76.0] || member(u,flip_range_of(powerset(v))) -> subset(ordered_pair(f12(u,powerset(v)),ordered_pair(f14(u,powerset(v)),f13(u,powerset(v)))),v)*. % 299.97/300.33 35896[8:MRR:32708.1,35892.0] || disjoint(universal_set,complement(f24(sigma(infinity))))* -> . % 299.97/300.33 35895[7:MRR:32872.1,35892.0] || subset(infinity,f24(sigma(infinity)))* -> . % 299.97/300.33 35894[7:MRR:32667.1,35892.0] || subset(universal_set,f24(sigma(infinity)))* -> . % 299.97/300.33 4110[0:Res:26.1,377.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),second(v)) -> member(u,converse(f7(ordered_pair(second(u),first(u)),v)))*. % 299.97/300.33 4111[0:Res:21.1,377.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),first(v)) -> member(u,converse(f4(ordered_pair(second(u),first(u)),v)))*. % 299.97/300.33 35426[7:Res:15143.1,35414.0] || disjoint(successor(ordered_pair(universal_set,u)),universal_set)* -> . % 299.97/300.33 4112[0:Res:67.1,377.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),sigma(v)) -> member(u,converse(f16(ordered_pair(second(u),first(u)),v)))*. % 299.97/300.33 35425[7:Res:15145.1,35414.0] || disjoint(successor(ordered_pair(universal_set,u)),infinity)* -> . % 299.97/300.33 35424[8:Res:21569.1,35414.0] || disjoint(universal_set,successor(ordered_pair(universal_set,u)))* -> . % 299.97/300.33 4348[0:Res:135.1,70.0] || member(u,compose(v,w)) subset(v,x) -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.33 35420[7:Res:25330.1,35414.0] || disjoint(ordered_pair(universal_set,u),sigma(infinity))* -> . % 299.97/300.33 4273[0:Res:136.1,70.0] || member(u,compose(v,w)) subset(w,x) -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.33 34813[7:Res:1513.1,32529.1] || disjoint(singleton_set(u),universal_set)* equal(sigma(infinity),u) -> . % 299.97/300.33 34812[7:Res:13860.1,32529.1] || disjoint(universal_set,singleton_set(u))* equal(sigma(infinity),u) -> . % 299.97/300.33 35299[7:Res:13861.1,34391.1] || disjoint(u,infinity) subset(universal_set,powerset(u))* -> . % 299.97/300.33 34391[7:Res:25559.1,31188.0] || subset(universal_set,powerset(u)) subset(infinity,complement(u))* -> . % 299.97/300.33 5066[0:MRR:5059.0,5059.1,132.1,131.1] || member(u,compose(v,w)) member(x,f30(u,v,w))*+ equal(y,u)* -> member(x,second(y))*. % 299.97/300.33 34376[7:Res:25559.1,30921.0] || subset(universal_set,powerset(u))* subset(universal_set,complement(u)) -> . % 299.97/300.33 5025[0:MRR:5014.0,5014.1,132.1,131.1] || member(u,compose(v,w)) member(x,f29(u,v,w))*+ equal(y,u)* -> member(x,first(y))*. % 299.97/300.33 33427[7:Res:33376.1,25810.0] || member(universal_set,powerset(image(u,cross_product(sigma(infinity),v))))* -> . % 299.97/300.33 33425[7:Res:33376.1,25950.0] || member(universal_set,powerset(image(restrict(sigma(infinity),u),v)))* -> . % 299.97/300.33 33424[7:Res:33376.1,26103.0] || member(universal_set,powerset(image(intersection(u,sigma(infinity)),v)))* -> . % 299.97/300.33 33423[7:Res:33376.1,25946.0] || member(universal_set,powerset(image(intersection(sigma(infinity),u),v)))* -> . % 299.97/300.33 4574[0:SpR:51.1,122.0] || member(u,rotate_right(v)) -> equal(apply_to_two_arguments(w,f9(u,v),ordered_pair(f10(u,v),f11(u,v))),apply(w,u))**. % 299.97/300.33 33404[7:Res:33376.1,1444.0] || member(universal_set,powerset(singleton_set(u)))* -> equal(sigma(infinity),u). % 299.97/300.33 33403[7:Res:33376.1,76.0] || member(universal_set,powerset(powerset(u)))* -> subset(sigma(infinity),u). % 299.97/300.33 32874[7:Res:11437.1,32869.1] || subset(sigma(infinity),u)* subset(infinity,complement(u)) -> . % 299.97/300.33 32870[7:Res:13975.1,26032.1] || member(infinity,u) disjoint(sigma(u),sigma(infinity))* -> . % 299.97/300.33 4545[0:SpR:57.1,122.0] || member(u,flip_range_of(v)) -> equal(apply_to_two_arguments(w,f12(u,v),ordered_pair(f13(u,v),f14(u,v))),apply(w,u))**. % 299.97/300.33 34934[6:SpL:13.0,34917.0] || equal(f1(universal_set,ordered_pair(u,v)),singleton_set(u))** -> . % 299.97/300.33 34917[6:MRR:34916.1,10928.0] || equal(f1(universal_set,non_ordered_pair(u,v)),u)** -> . % 299.97/300.33 4167[0:MRR:4152.0,5.0] || equal(f1(u,non_ordered_pair(v,w)),v) member(f1(u,non_ordered_pair(v,w)),u)* -> equal(u,non_ordered_pair(v,w)). % 299.97/300.33 34864[6:SpL:12.0,34849.0] || equal(f1(universal_set,singleton_set(u)),u)** -> . % 299.97/300.33 34849[6:MRR:34848.1,10928.0] || equal(f1(universal_set,non_ordered_pair(u,v)),v)** -> . % 299.97/300.33 4166[0:MRR:4153.0,5.0] || equal(f1(u,non_ordered_pair(v,w)),w) member(f1(u,non_ordered_pair(v,w)),u)* -> equal(u,non_ordered_pair(v,w)). % 299.97/300.33 32669[7:Res:11437.1,32663.1] || subset(sigma(infinity),u)* subset(universal_set,complement(u)) -> . % 299.97/300.33 3673[0:Res:33.2,72.0] || member(f17(u,intersection(v,w)),w)*+ member(f17(u,intersection(v,w)),v)* -> subset(u,intersection(v,w)). % 299.97/300.33 1439[0:Res:38.1,8.0] || member(u,domain_of(non_ordered_pair(v,w)))* -> equal(f8(u,non_ordered_pair(v,w)),w) equal(f8(u,non_ordered_pair(v,w)),v). % 299.97/300.33 1438[0:Res:66.1,8.0] || member(u,sigma(non_ordered_pair(v,w)))* -> equal(f16(u,non_ordered_pair(v,w)),w) equal(f16(u,non_ordered_pair(v,w)),v). % 299.97/300.33 1437[0:Res:107.1,8.0] || member(u,range_of(non_ordered_pair(v,w)))* -> equal(f27(u,non_ordered_pair(v,w)),w) equal(f27(u,non_ordered_pair(v,w)),v). % 299.97/300.33 6206[3:MRR:5099.0,6160.1] || member(u,v) equal(first(u),w) -> subset(second(u),x) member(f17(second(u),x),apply(v,w))*. % 299.97/300.33 6205[3:MRR:5100.0,6160.1] || member(u,v) equal(first(u),w) -> disjoint(second(u),x) member(f23(second(u),x),apply(v,w))*. % 299.97/300.33 27153[7:Res:26831.1,25810.0] || disjoint(complement(image(u,cross_product(sigma(infinity),v))),universal_set)* -> . % 299.97/300.33 27151[7:Res:26831.1,25950.0] || disjoint(complement(image(restrict(sigma(infinity),u),v)),universal_set)* -> . % 299.97/300.33 6202[3:MRR:5112.0,6160.1] || member(u,v) equal(first(u),w) -> disjoint(x,second(u)) member(f23(x,second(u)),apply(v,w))*. % 299.97/300.33 27150[7:Res:26831.1,26103.0] || disjoint(complement(image(intersection(u,sigma(infinity)),v)),universal_set)* -> . % 299.97/300.33 27149[7:Res:26831.1,25946.0] || disjoint(complement(image(intersection(sigma(infinity),u),v)),universal_set)* -> . % 299.97/300.33 27130[7:Res:26831.1,1444.0] || disjoint(complement(singleton_set(u)),universal_set)* -> equal(sigma(infinity),u). % 299.97/300.33 27129[7:Res:26831.1,76.0] || disjoint(complement(powerset(u)),universal_set)* -> subset(sigma(infinity),u). % 299.97/300.33 4359[0:Res:135.1,34.1] || member(u,compose(complement(v),w)) member(ordered_pair(f29(u,complement(v),w),f31(u,complement(v),w)),v)* -> . % 299.97/300.33 27008[7:Res:26830.1,25810.0] || disjoint(universal_set,complement(image(u,cross_product(sigma(infinity),v))))* -> . % 299.97/300.33 27006[7:Res:26830.1,25950.0] || disjoint(universal_set,complement(image(restrict(sigma(infinity),u),v)))* -> . % 299.97/300.33 27005[7:Res:26830.1,26103.0] || disjoint(universal_set,complement(image(intersection(u,sigma(infinity)),v)))* -> . % 299.97/300.33 27004[7:Res:26830.1,25946.0] || disjoint(universal_set,complement(image(intersection(sigma(infinity),u),v)))* -> . % 299.97/300.33 4284[0:Res:136.1,34.1] || member(u,compose(v,complement(w))) member(ordered_pair(f31(u,v,complement(w)),f30(u,v,complement(w))),w)* -> . % 299.97/300.33 26985[7:Res:26830.1,1444.0] || disjoint(universal_set,complement(singleton_set(u)))* -> equal(sigma(infinity),u). % 299.97/300.33 26984[7:Res:26830.1,76.0] || disjoint(universal_set,complement(powerset(u)))* -> subset(sigma(infinity),u). % 299.97/300.33 6224[3:MRR:5220.0,6160.1] little_set(u) single_valued_set(v) || member(w,v) member(ordered_pair(f2(w),u),v)* -> equal(u,f3(w)). % 299.97/300.33 1441[0:Res:46.1,8.0] || member(u,converse(non_ordered_pair(v,w)))*+ -> equal(ordered_pair(second(u),first(u)),w)* equal(ordered_pair(second(u),first(u)),v)*. % 299.97/300.33 5214[0:SSi:5196.0,371.0] little_set(u) little_set(v) little_set(w) single_valued_set(universal_set) || member(ordered_pair(w,v),universal_set)* -> equal(v,u)*. % 299.97/300.33 33411[7:Res:33376.1,20934.0] || member(universal_set,powerset(range_of(cross_product(sigma(infinity),u))))* -> . % 299.97/300.33 33429[7:Res:33376.1,17668.0] || member(universal_set,powerset(apply(u,sigma(infinity))))* -> . % 299.97/300.33 4235[0:SpR:134.1,122.0] || member(u,compose(v,w)) -> equal(apply_to_two_arguments(x,f29(u,v,w),f30(u,v,w)),apply(x,u))**. % 299.97/300.33 33428[7:Res:33376.1,17597.0] || member(universal_set,powerset(image(sigma(infinity),u)))* -> . % 299.97/300.33 33376[7:Res:13775.1,26433.0] || member(universal_set,powerset(u)) -> member(sigma(infinity),u)*. % 299.97/300.33 26433[7:Res:26333.1,15955.0] || subset(universal_set,sigma(powerset(u)))* -> member(sigma(infinity),u). % 299.97/300.33 26419[7:Res:26333.1,10964.0] || subset(universal_set,complement(complement(u)))* -> member(sigma(infinity),u). % 299.97/300.33 3817[0:Res:6.1,42.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* member(first(f1(u,cross_product(v,w))),v)*. % 299.97/300.33 26418[7:Res:26333.1,34.1] || subset(universal_set,complement(u))* member(sigma(infinity),u) -> . % 299.97/300.33 3818[0:Res:6.1,43.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* member(second(f1(u,cross_product(v,w))),w)*. % 299.97/300.33 3835[0:Res:6.2,42.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* member(first(f1(cross_product(u,v),w)),u)*. % 299.97/300.33 32873[7:Res:9144.0,32869.1] || subset(infinity,complement(sigma(infinity)))* -> . % 299.97/300.33 32869[7:Res:11437.1,26032.1] || subset(infinity,u) disjoint(u,sigma(infinity))* -> . % 299.97/300.33 32868[7:Res:9144.0,26032.1] || disjoint(infinity,sigma(infinity))* -> . % 299.97/300.33 26032[7:Res:25330.1,1218.0] || disjoint(u,sigma(infinity)) disjoint(complement(u),infinity)* -> . % 299.97/300.33 3836[0:Res:6.2,43.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* member(second(f1(cross_product(u,v),w)),v)*. % 299.97/300.33 32709[8:Res:9144.0,26031.0] || disjoint(universal_set,complement(complement(sigma(infinity))))* -> . % 299.97/300.33 26031[8:Res:25330.1,21511.1] || disjoint(u,sigma(infinity))*+ disjoint(universal_set,complement(u))* -> . % 299.97/300.33 32668[7:Res:9144.0,32663.1] || subset(universal_set,complement(sigma(infinity)))* -> . % 299.97/300.33 4357[0:Res:135.1,76.0] || member(u,compose(powerset(v),w)) -> subset(ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w)),v)*. % 299.97/300.33 32663[7:Res:11437.1,26027.1] || subset(universal_set,u) disjoint(u,sigma(infinity))* -> . % 299.97/300.33 26027[7:Res:25330.1,1238.0] || disjoint(u,sigma(infinity)) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 4282[0:Res:136.1,76.0] || member(u,compose(v,powerset(w))) -> subset(ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w))),w)*. % 299.97/300.33 6198[3:MRR:4456.0,6160.1] || member(second(u),v)* member(first(u),w)* member(u,x)* disjoint(x,cross_product(w,v))*+ -> . % 299.97/300.33 32541[7:MRR:32540.2,179.0] || equal(u,universal_set) equal(sigma(infinity),u)* -> . % 299.97/300.33 32539[7:MRR:32538.2,179.0] || equal(sigma(infinity),u)*+ -> little_set(u)*. % 299.97/300.33 32537[7:MRR:32536.2,179.0] || equal(sigma(infinity),u)*+ -> ordered_pair_predicate(u)*. % 299.97/300.33 4120[0:MRR:4097.0,37.1] || member(u,domain_of(v)) member(ordered_pair(second(f8(u,v)),u),w)* -> member(f8(u,v),converse(w)). % 299.97/300.33 4119[0:MRR:4100.0,106.1] || member(u,range_of(v)) member(ordered_pair(u,first(f27(u,v))),w)* -> member(f27(u,v),converse(w)). % 299.97/300.33 25688[7:Res:25299.1,1218.0] || member(infinity,u) disjoint(sigma(sigma(u)),infinity)* -> . % 299.97/300.33 25687[8:Res:25299.1,21511.1] || member(infinity,u) disjoint(universal_set,sigma(sigma(u)))* -> . % 299.97/300.33 25683[7:Res:25299.1,1238.0] || member(infinity,u) disjoint(sigma(sigma(u)),universal_set)* -> . % 299.97/300.33 1007[0:SpR:39.1,46.1] || member(u,domain_of(v)) member(f8(u,v),converse(w)) -> member(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.33 1008[0:SpR:108.1,46.1] || member(u,range_of(v)) member(f27(u,v),converse(w)) -> member(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.33 3843[0:Res:6.2,32.0] || -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),w)* member(f1(intersection(u,v),w),v)*. % 299.97/300.33 3842[0:Res:6.2,31.0] || -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),w)* member(f1(intersection(u,v),w),u)*. % 299.97/300.33 3825[0:Res:6.1,32.0] || -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),u)* member(f1(u,intersection(v,w)),w)*. % 299.97/300.33 3824[0:Res:6.1,31.0] || -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),u)* member(f1(u,intersection(v,w)),v)*. % 299.97/300.33 1431[0:Res:71.1,8.0] || -> subset(non_ordered_pair(u,v),w) equal(f17(non_ordered_pair(u,v),w),v)** equal(f17(non_ordered_pair(u,v),w),u)**. % 299.97/300.33 1435[0:Res:100.1,8.0] || -> disjoint(u,non_ordered_pair(v,w)) equal(f23(u,non_ordered_pair(v,w)),w)** equal(f23(u,non_ordered_pair(v,w)),v)**. % 299.97/300.33 1430[0:Res:99.1,8.0] || -> disjoint(non_ordered_pair(u,v),w) equal(f23(non_ordered_pair(u,v),w),v)** equal(f23(non_ordered_pair(u,v),w),u)**. % 299.97/300.33 5065[0:MRR:5057.0,5057.1,24.1,23.1] || member(u,second(v)) member(w,f7(u,v))*+ equal(x,v)* -> member(w,second(x))*. % 299.97/300.33 5064[0:MRR:5058.0,5058.1,19.1,18.1] || member(u,first(v)) member(w,f5(u,v))*+ equal(x,v)* -> member(w,second(x))*. % 299.97/300.33 5024[0:MRR:5023.0,54.1] || member(u,flip_range_of(v)) member(w,f12(u,v))*+ equal(x,u)* -> member(w,first(x))*. % 299.97/300.33 5022[0:MRR:5021.0,48.1] || member(u,rotate_right(v)) member(w,f9(u,v))*+ equal(x,u)* -> member(w,first(x))*. % 299.97/300.33 26415[7:Res:26333.1,10857.1] || subset(universal_set,infinity) equal(successor(sigma(infinity)),universal_set)** -> . % 299.97/300.33 5020[0:MRR:5012.0,5012.1,24.1,23.1] || member(u,second(v)) member(w,f6(u,v))*+ equal(x,v)* -> member(w,first(x))*. % 299.97/300.33 5019[0:MRR:5013.0,5013.1,19.1,18.1] || member(u,first(v)) member(w,f4(u,v))*+ equal(x,v)* -> member(w,first(x))*. % 299.97/300.33 6223[3:MRR:5158.0,6160.1] little_set(second(u)) || member(u,v) member(first(u),w) -> member(second(u),image(w,v))*. % 299.97/300.33 29659[11:Spt:29647.0] || -> single_valued_set(f25)*. % 299.97/300.33 29596[8:SoR:29518.0,5742.1] little_set(intersection(universal_set,universal_set)) || -> . % 299.97/300.33 29518[8:AED:29511.1] ordered_pair_predicate(intersection(universal_set,universal_set)) || -> . % 299.97/300.33 29204[2:MRR:29148.0,5.0] || -> equal(intersection(universal_set,universal_set),universal_set)**. % 299.97/300.33 29236[6:Rew:29204.0,29088.0] || member(universal_set,infinity)* -> . % 299.97/300.33 3829[0:Res:6.2,68.0] || member(u,v)+ -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(v))*. % 299.97/300.33 3828[0:Res:6.2,98.0] || member(f1(u,v),w)*+ disjoint(w,u) -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.33 3811[0:Res:6.1,68.0] || member(u,v)+ -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(v))*. % 299.97/300.33 3810[0:Res:6.1,98.0] || member(f1(u,v),w)*+ disjoint(w,v) -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.33 3653[0:Res:33.2,68.0] || member(u,v)* member(u,w)* member(intersection(w,v),x)*+ -> member(u,sigma(x))*. % 299.97/300.33 3652[0:Res:33.2,98.0] || member(u,v)* member(u,w)* member(u,x)* disjoint(x,intersection(w,v))*+ -> . % 299.97/300.33 27137[7:Res:26831.1,20934.0] || disjoint(complement(range_of(cross_product(sigma(infinity),u))),universal_set)* -> . % 299.97/300.33 27155[7:Res:26831.1,17668.0] || disjoint(complement(apply(u,sigma(infinity))),universal_set)* -> . % 299.97/300.33 1550[0:Res:94.1,43.0] || member(u,image(cross_product(v,w),x)) -> member(second(first(f22(u,cross_product(v,w),x))),w)*. % 299.97/300.33 27154[7:Res:26831.1,17597.0] || disjoint(complement(image(sigma(infinity),u)),universal_set)* -> . % 299.97/300.33 26831[7:Res:1513.1,26320.0] || disjoint(complement(u),universal_set) -> member(sigma(infinity),u)*. % 299.97/300.33 26992[7:Res:26830.1,20934.0] || disjoint(universal_set,complement(range_of(cross_product(sigma(infinity),u))))* -> . % 299.97/300.33 27010[7:Res:26830.1,17668.0] || disjoint(universal_set,complement(apply(u,sigma(infinity))))* -> . % 299.97/300.33 1549[0:Res:94.1,42.0] || member(u,image(cross_product(v,w),x)) -> member(first(first(f22(u,cross_product(v,w),x))),v)*. % 299.97/300.33 27009[7:Res:26830.1,17597.0] || disjoint(universal_set,complement(image(sigma(infinity),u)))* -> . % 299.97/300.33 26830[7:Res:13860.1,26320.0] || disjoint(universal_set,complement(u)) -> member(sigma(infinity),u)*. % 299.97/300.33 26440[7:Res:26333.1,25810.0] || subset(universal_set,image(u,cross_product(sigma(infinity),v)))* -> . % 299.97/300.33 26438[7:Res:26333.1,25950.0] || subset(universal_set,image(restrict(sigma(infinity),u),v))* -> . % 299.97/300.33 1543[0:Res:94.1,68.0] || member(u,image(v,w)) member(v,x) -> member(first(f22(u,v,w)),sigma(x))*. % 299.97/300.33 26437[7:Res:26333.1,26103.0] || subset(universal_set,image(intersection(u,sigma(infinity)),v))* -> . % 299.97/300.33 26436[7:Res:26333.1,25946.0] || subset(universal_set,image(intersection(sigma(infinity),u),v))* -> . % 299.97/300.33 26417[7:Res:26333.1,1444.0] || subset(universal_set,singleton_set(u))* -> equal(sigma(infinity),u). % 299.97/300.33 26416[7:Res:26333.1,76.0] || subset(universal_set,powerset(u)) -> subset(sigma(infinity),u)*. % 299.97/300.33 1542[0:Res:94.1,98.0] || member(u,image(v,w)) member(first(f22(u,v,w)),x)* disjoint(x,v) -> . % 299.97/300.33 1561[0:Res:120.1,98.0] || member(u,apply(v,w)) member(u,x) disjoint(x,second(f28(u,v,w)))* -> . % 299.97/300.33 1562[0:Res:120.1,68.0] || member(u,apply(v,w)) member(second(f28(u,v,w)),x)* -> member(u,sigma(x)). % 299.97/300.33 4165[0:MRR:4156.0,5.0] || subset(f1(u,powerset(v)),v)*+ member(f1(u,powerset(v)),u)* -> equal(u,powerset(v)). % 299.97/300.33 3830[0:Res:6.2,70.0] || subset(u,v)+ -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),v)*. % 299.97/300.33 26424[7:Res:26333.1,20934.0] || subset(universal_set,range_of(cross_product(sigma(infinity),u)))* -> . % 299.97/300.33 26442[7:Res:26333.1,17668.0] || subset(universal_set,apply(u,sigma(infinity)))* -> . % 299.97/300.33 26441[7:Res:26333.1,17597.0] || subset(universal_set,image(sigma(infinity),u))* -> . % 299.97/300.33 26333[7:Res:26324.0,70.0] || subset(universal_set,u) -> member(sigma(infinity),u)*. % 299.97/300.33 3812[0:Res:6.1,70.0] || subset(u,v)+ -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),v)*. % 299.97/300.33 26338[7:EmS:10805.0,26330.0] || equal(sigma(infinity),universal_set)** -> . % 299.97/300.33 26335[7:Res:26324.0,4.0] || -> little_set(sigma(infinity))*. % 299.97/300.33 26330[7:Res:26324.0,6160.0] || -> ordered_pair_predicate(sigma(infinity))*. % 299.97/300.33 26324[7:MRR:26323.1,179.0] || -> member(sigma(infinity),universal_set)*. % 299.97/300.33 4002[0:SpR:20.1,122.0] || member(u,first(v)) -> equal(apply_to_two_arguments(w,f4(u,v),f5(u,v)),apply(w,v))**. % 299.97/300.33 3937[0:SpR:25.1,122.0] || member(u,second(v)) -> equal(apply_to_two_arguments(w,f6(u,v),f7(u,v)),apply(w,v))**. % 299.97/300.33 3654[0:Res:33.2,70.0] || member(u,v)* member(u,w)* subset(intersection(w,v),x)*+ -> member(u,x)*. % 299.97/300.33 26103[2:Obv:26092.0] || member(u,image(intersection(v,u),w))* -> . % 299.97/300.33 26035[7:Res:25330.1,13802.0] || disjoint(powerset(u),sigma(infinity))* -> . % 299.97/300.33 1280[0:Res:118.1,43.0] || member(u,apply(cross_product(v,w),x)) -> member(second(f28(u,cross_product(v,w),x)),w)*. % 299.97/300.33 26034[7:Res:25330.1,25708.0] || disjoint(sigma(infinity),sigma(infinity))* -> . % 299.97/300.33 1556[0:Res:94.1,32.0] || member(u,image(intersection(v,w),x)) -> member(first(f22(u,intersection(v,w),x)),w)*. % 299.97/300.33 25324[7:Res:25298.1,1218.0] || subset(infinity,u) disjoint(sigma(u),infinity)* -> . % 299.97/300.33 25950[2:SpL:113.0,25946.0] || member(u,image(restrict(u,v),w))* -> . % 299.97/300.33 25946[2:Obv:25935.0] || member(u,image(intersection(u,v),w))* -> . % 299.97/300.33 1555[0:Res:94.1,31.0] || member(u,image(intersection(v,w),x)) -> member(first(f22(u,intersection(v,w),x)),v)*. % 299.97/300.33 25323[8:Res:25298.1,21511.1] || subset(infinity,u) disjoint(universal_set,sigma(u))* -> . % 299.97/300.33 25318[7:Res:25298.1,1238.0] || subset(infinity,u) disjoint(sigma(u),universal_set)* -> . % 299.97/300.33 25810[2:Obv:25798.0] || member(u,image(v,cross_product(u,w)))* -> . % 299.97/300.33 1344[0:Res:93.1,42.0] || member(u,image(v,cross_product(w,x))) -> member(first(f22(u,v,cross_product(w,x))),w)*. % 299.97/300.33 25722[7:Res:15143.1,25708.0] || disjoint(successor(sigma(infinity)),universal_set)* -> . % 299.97/300.33 25721[7:Res:15145.1,25708.0] || disjoint(successor(sigma(infinity)),infinity)* -> . % 299.97/300.33 25720[8:Res:21569.1,25708.0] || disjoint(universal_set,successor(sigma(infinity)))* -> . % 299.97/300.33 1273[0:Res:118.1,68.0] || member(u,apply(v,w)) member(v,x) -> member(f28(u,v,w),sigma(x))*. % 299.97/300.33 1338[0:Res:93.1,68.0] || member(u,image(v,w)) member(w,x) -> member(f22(u,v,w),sigma(x))*. % 299.97/300.33 1337[0:Res:93.1,98.0] || member(u,image(v,w)) member(f22(u,v,w),x)* disjoint(x,w) -> . % 299.97/300.33 1272[0:Res:118.1,98.0] || member(u,apply(v,w)) member(f28(u,v,w),x)* disjoint(x,v) -> . % 299.97/300.33 1544[0:Res:94.1,70.0] || member(u,image(v,w)) subset(v,x) -> member(first(f22(u,v,w)),x)*. % 299.97/300.33 1563[0:Res:120.1,70.0] || member(u,apply(v,w)) subset(second(f28(u,v,w)),x)* -> member(u,x). % 299.97/300.33 25310[7:Res:25297.0,1218.0] || disjoint(sigma(infinity),infinity)* -> . % 299.97/300.33 6183[3:MRR:4785.0,6158.0] || member(u,rotate_right(v)) -> ordered_pair_predicate(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))*. % 299.97/300.33 25309[8:Res:25297.0,21511.1] || disjoint(universal_set,sigma(infinity))* -> . % 299.97/300.33 25305[7:Res:25297.0,1238.0] || disjoint(sigma(infinity),universal_set)* -> . % 299.97/300.33 6182[3:MRR:4637.0,6158.0] || member(u,flip_range_of(v)) -> ordered_pair_predicate(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))*. % 299.97/300.33 4164[0:MRR:4157.0,5.0] || member(f1(u,complement(v)),u)*+ -> member(f1(u,complement(v)),v)* equal(u,complement(v)). % 299.97/300.33 3841[0:Res:6.2,34.1] || member(f1(complement(u),v),u)*+ -> equal(complement(u),v) member(f1(complement(u),v),v)*. % 299.97/300.33 3823[0:Res:6.1,34.1] || member(f1(u,complement(v)),v)*+ -> equal(u,complement(v)) member(f1(u,complement(v)),u)*. % 299.97/300.33 1142[0:Res:9.2,68.0] little_set(u) || equal(u,v)* member(non_ordered_pair(v,w),x)*+ -> member(u,sigma(x))*. % 299.97/300.33 1141[0:Res:10.2,68.0] little_set(u) || equal(u,v)* member(non_ordered_pair(w,v),x)*+ -> member(u,sigma(x))*. % 299.97/300.33 4118[0:SSi:4102.0,371.0] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),v)*+ -> member(u,converse(non_ordered_pair(v,w)))*. % 299.97/300.33 4117[0:SSi:4103.0,371.0] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),v)*+ -> member(u,converse(non_ordered_pair(w,v)))*. % 299.97/300.33 1163[0:Res:46.1,68.0] || member(u,converse(v))*+ member(v,w)* -> member(ordered_pair(second(u),first(u)),sigma(w))*. % 299.97/300.33 1227[0:Res:46.1,98.0] || member(u,converse(v))* member(ordered_pair(second(u),first(u)),w)*+ disjoint(w,v)* -> . % 299.97/300.33 6181[3:MRR:4363.0,6158.0] || member(u,compose(v,w)) -> ordered_pair_predicate(ordered_pair(f29(u,v,w),f31(u,v,w)))*. % 299.97/300.33 23575[2:SpR:23571.1,60.0] || subset(universal_set,singleton_set(u))* -> equal(successor(u),universal_set). % 299.97/300.33 23571[2:Res:11437.1,10442.0] || subset(universal_set,u) -> equal(union(v,u),universal_set)**. % 299.97/300.33 10442[2:Rew:5392.0,10422.1] || disjoint(complement(u),universal_set)*+ -> equal(union(v,u),universal_set)**. % 299.97/300.33 6180[3:MRR:4288.0,6158.0] || member(u,compose(v,w)) -> ordered_pair_predicate(ordered_pair(f31(u,v,w),f30(u,v,w)))*. % 299.97/300.33 23514[2:SpR:23510.1,60.0] || subset(universal_set,u)* -> equal(successor(u),universal_set). % 299.97/300.33 23510[2:Res:11437.1,10413.0] || subset(universal_set,u) -> equal(union(u,v),universal_set)**. % 299.97/300.33 10413[2:Rew:5392.0,10394.1] || disjoint(complement(u),universal_set)*+ -> equal(union(u,v),universal_set)**. % 299.97/300.33 7874[3:SpL:5768.0,6176.0] || member(u,universal_set) -> ordered_pair_predicate(ordered_pair(second(u),first(u)))*. % 299.97/300.33 1286[0:Res:118.1,32.0] || member(u,apply(intersection(v,w),x)) -> member(f28(u,intersection(v,w),x),w)*. % 299.97/300.33 1285[0:Res:118.1,31.0] || member(u,apply(intersection(v,w),x)) -> member(f28(u,intersection(v,w),x),v)*. % 299.97/300.33 23069[8:Res:13975.1,21838.1] || member(infinity,u) disjoint(universal_set,successor(sigma(u)))* -> . % 299.97/300.33 1351[0:Res:93.1,32.0] || member(u,image(v,intersection(w,x))) -> member(f22(u,v,intersection(w,x)),x)*. % 299.97/300.33 1350[0:Res:93.1,31.0] || member(u,image(v,intersection(w,x))) -> member(f22(u,v,intersection(w,x)),w)*. % 299.97/300.33 23068[8:Res:11437.1,21838.1] || subset(infinity,u) disjoint(universal_set,successor(u))* -> . % 299.97/300.33 23067[8:Res:9144.0,21838.1] || disjoint(universal_set,successor(infinity))* -> . % 299.97/300.33 1274[0:Res:118.1,70.0] || member(u,apply(v,w)) subset(v,x) -> member(f28(u,v,w),x)*. % 299.97/300.33 21838[8:Res:21569.1,1218.0] || disjoint(universal_set,successor(u)) disjoint(complement(u),infinity)* -> . % 299.97/300.33 21837[8:Res:21569.1,21511.1] || disjoint(universal_set,successor(u))* disjoint(universal_set,complement(u)) -> . % 299.97/300.33 21833[8:Res:21569.1,1238.0] || disjoint(universal_set,successor(u)) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 1339[0:Res:93.1,70.0] || member(u,image(v,w)) subset(w,x) -> member(f22(u,v,w),x)*. % 299.97/300.33 3839[0:Res:6.2,76.0] || -> equal(powerset(u),v) member(f1(powerset(u),v),v)* subset(f1(powerset(u),v),u)*. % 299.97/300.33 21550[8:Res:15143.1,21511.1] || disjoint(successor(u),universal_set)* disjoint(universal_set,complement(u)) -> . % 299.97/300.33 3821[0:Res:6.1,76.0] || -> equal(u,powerset(v)) member(f1(u,powerset(v)),u)* subset(f1(u,powerset(v)),v)*. % 299.97/300.33 21549[8:Res:15145.1,21511.1] || disjoint(successor(u),infinity)* disjoint(universal_set,complement(u)) -> . % 299.97/300.33 21541[8:Res:16133.1,21511.1] || disjoint(universal_set,complement(u)) disjoint(universal_set,sigma(u))* -> . % 299.97/300.33 21540[8:Res:16221.1,21511.1] || disjoint(complement(u),universal_set)* disjoint(universal_set,sigma(u)) -> . % 299.97/300.33 1081[0:Res:10.2,70.0] little_set(u) || equal(u,v)* subset(non_ordered_pair(w,v),x)*+ -> member(u,x)*. % 299.97/300.33 1104[0:Res:9.2,70.0] little_set(u) || equal(u,v)* subset(non_ordered_pair(v,w),x)*+ -> member(u,x)*. % 299.97/300.33 5063[0:SSi:5055.2,5055.1,14.1,15.1] ordered_pair_predicate(u) || member(v,f3(u))*+ equal(w,u)* -> member(v,second(w))*. % 299.97/300.33 5054[0:EqR:27.3] little_set(u) little_set(v) || member(w,u) -> member(w,second(ordered_pair(v,u)))*. % 299.97/300.33 5018[0:SSi:5010.2,5010.1,14.1,15.1] ordered_pair_predicate(u) || member(v,f2(u))*+ equal(w,u)* -> member(v,first(w))*. % 299.97/300.33 5009[0:EqR:22.3] little_set(u) little_set(v) || member(w,v) -> member(w,first(ordered_pair(v,u)))*. % 299.97/300.33 22220[8:Res:11437.1,22136.1] || subset(infinity,u)* disjoint(universal_set,u) -> . % 299.97/300.33 22136[8:Res:22114.1,1218.0] || disjoint(universal_set,u) disjoint(complement(u),infinity)* -> . % 299.97/300.33 22135[8:Res:22114.1,21511.1] || disjoint(universal_set,u) disjoint(universal_set,complement(u))* -> . % 299.97/300.33 22189[8:Res:11437.1,22131.1] || subset(universal_set,u)* disjoint(universal_set,u) -> . % 299.97/300.33 22131[8:Res:22114.1,1238.0] || disjoint(universal_set,u) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 1554[0:Res:94.1,34.1] || member(u,image(complement(v),w)) member(first(f22(u,complement(v),w)),v)* -> . % 299.97/300.33 1136[0:Res:77.2,68.0] little_set(u) || subset(u,v)* member(powerset(v),w)*+ -> member(u,sigma(w))*. % 299.97/300.33 1009[0:Res:46.1,70.0] || member(u,converse(v))*+ subset(v,w)* -> member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.33 21840[8:Res:21569.1,13802.0] || disjoint(universal_set,successor(powerset(u)))* -> . % 299.97/300.33 554[0:Res:86.1,42.0] || -> single_valued_set(cross_product(u,v)) member(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),u)*. % 299.97/300.33 21552[8:Res:13991.1,21511.1] || disjoint(u,infinity) disjoint(universal_set,complement(u))* -> . % 299.97/300.33 21543[8:Res:1154.1,21511.1] || member(infinity,u) disjoint(universal_set,sigma(u))* -> . % 299.97/300.33 21542[8:Res:12503.1,21511.1] || subset(universal_set,u) disjoint(universal_set,sigma(u))* -> . % 299.97/300.33 553[0:Res:87.1,42.0] || -> single_valued_set(cross_product(u,v)) member(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),u)*. % 299.97/300.33 21554[8:Res:14727.0,21511.1] || disjoint(universal_set,complement(complement(powerset(u))))* -> . % 299.97/300.33 21574[8:Obv:21535.0] || disjoint(universal_set,ordered_pair(universal_set,u))* -> . % 299.97/300.33 541[0:Res:86.1,43.0] || -> single_valued_set(cross_product(u,v)) member(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),v)*. % 299.97/300.33 21566[8:Res:13661.0,21511.1] || disjoint(universal_set,powerset(u))* -> . % 299.97/300.33 540[0:Res:87.1,43.0] || -> single_valued_set(cross_product(u,v)) member(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),v)*. % 299.97/300.33 21343[7:Res:21337.1,1238.0] || member(universal_set,powerset(u))* disjoint(u,universal_set) -> . % 299.97/300.33 4116[0:SSi:4105.0,371.0] ordered_pair_predicate(u) || subset(ordered_pair(second(u),first(u)),v)* -> member(u,converse(powerset(v))). % 299.97/300.33 16245[7:Res:16221.1,1218.0] || disjoint(complement(u),universal_set) disjoint(sigma(u),infinity)* -> . % 299.97/300.33 16243[7:Res:16221.1,1238.0] || disjoint(complement(u),universal_set) disjoint(sigma(u),universal_set)* -> . % 299.97/300.33 16235[7:Res:16133.1,1218.0] || disjoint(universal_set,complement(u)) disjoint(sigma(u),infinity)* -> . % 299.97/300.33 16233[7:Res:16133.1,1238.0] || disjoint(universal_set,complement(u)) disjoint(sigma(u),universal_set)* -> . % 299.97/300.33 1421[0:SpL:13.0,8.0] || member(u,ordered_pair(v,w))* -> equal(u,non_ordered_pair(v,w)) equal(u,singleton_set(v)). % 299.97/300.33 3651[0:SpR:113.0,33.2] || member(u,cross_product(v,universal_set)) member(u,w) -> member(u,restrict(w,v))*. % 299.97/300.33 15193[7:Res:15145.1,1218.0] || disjoint(successor(u),infinity)* disjoint(complement(u),infinity) -> . % 299.97/300.33 15189[7:Res:15145.1,1238.0] || disjoint(successor(u),infinity)* disjoint(complement(u),universal_set) -> . % 299.97/300.33 15172[7:Res:15143.1,1218.0] || disjoint(successor(u),universal_set)* disjoint(complement(u),infinity) -> . % 299.97/300.33 15168[7:Res:15143.1,1238.0] || disjoint(successor(u),universal_set)* disjoint(complement(u),universal_set) -> . % 299.97/300.33 1284[0:Res:118.1,34.1] || member(u,apply(complement(v),w)) member(f28(u,complement(v),w),v)* -> . % 299.97/300.33 1349[0:Res:93.1,34.1] || member(u,image(v,complement(w))) member(f22(u,v,complement(w)),w)* -> . % 299.97/300.33 20934[2:Obv:20925.0] || member(u,range_of(cross_product(u,v)))* -> . % 299.97/300.33 557[0:Res:107.1,42.0] || member(u,range_of(cross_product(v,w))) -> member(first(f27(u,cross_product(v,w))),v)*. % 299.97/300.33 1159[0:Res:107.1,68.0] || member(u,range_of(v)) member(v,w) -> member(f27(u,v),sigma(w))*. % 299.97/300.33 558[0:Res:66.1,42.0] || member(u,sigma(cross_product(v,w))) -> member(first(f16(u,cross_product(v,w))),v)*. % 299.97/300.33 20716[3:Res:1513.1,20704.0] || disjoint(complement(u),universal_set)* -> member(infinity,u). % 299.97/300.33 20704[3:Res:11437.1,20605.0] || subset(complement(u),u)* -> member(infinity,u). % 299.97/300.33 20605[3:SSi:20594.0,63.0,15957.0] || disjoint(complement(u),complement(u))* -> member(infinity,u). % 299.97/300.33 545[0:Res:66.1,43.0] || member(u,sigma(cross_product(v,w))) -> member(second(f16(u,cross_product(v,w))),w)*. % 299.97/300.33 20307[7:Res:16133.1,20268.0] || disjoint(universal_set,complement(u))*+ disjoint(u,u)* -> . % 299.97/300.33 20306[7:Res:16221.1,20268.0] || disjoint(complement(u),universal_set)*+ disjoint(u,u)* -> . % 299.97/300.33 20309[2:Res:1154.1,20268.0] || member(infinity,u)*+ disjoint(u,u)* -> . % 299.97/300.33 20308[7:Res:12503.1,20268.0] || subset(universal_set,u)*+ disjoint(u,u)* -> . % 299.97/300.33 1160[0:Res:66.1,68.0] || member(u,sigma(v)) member(v,w) -> member(f16(u,v),sigma(w))*. % 299.97/300.33 20289[0:Res:1134.1,20268.0] || member(set_a,u)*+ disjoint(u,u)* -> . % 299.97/300.33 20288[0:Res:1133.1,20268.0] || member(set_b,u)*+ disjoint(u,u)* -> . % 299.97/300.33 1224[0:Res:66.1,98.0] || member(u,sigma(v)) member(f16(u,v),w)* disjoint(w,v) -> . % 299.97/300.33 1223[0:Res:107.1,98.0] || member(u,range_of(v)) member(f27(u,v),w)* disjoint(w,v) -> . % 299.97/300.33 1225[0:Res:38.1,98.0] || member(u,domain_of(v)) member(f8(u,v),w)* disjoint(w,v) -> . % 299.97/300.33 1161[0:Res:38.1,68.0] || member(u,domain_of(v)) member(v,w) -> member(f8(u,v),sigma(w))*. % 299.97/300.33 546[0:Res:38.1,43.0] || member(u,domain_of(cross_product(v,w))) -> member(second(f8(u,cross_product(v,w))),w)*. % 299.97/300.33 1202[0:Res:67.1,98.0] || member(u,sigma(v)) member(u,w) disjoint(w,f16(u,v))* -> . % 299.97/300.33 1203[0:Res:26.1,98.0] || member(u,second(v)) member(u,w) disjoint(w,f7(u,v))* -> . % 299.97/300.33 1204[0:Res:21.1,98.0] || member(u,first(v)) member(u,w) disjoint(w,f4(u,v))* -> . % 299.97/300.33 1138[0:Res:67.1,68.0] || member(u,sigma(v)) member(f16(u,v),w)* -> member(u,sigma(w)). % 299.97/300.33 1140[0:Res:21.1,68.0] || member(u,first(v)) member(f4(u,v),w)* -> member(u,sigma(w)). % 299.97/300.33 1139[0:Res:26.1,68.0] || member(u,second(v)) member(f7(u,v),w)* -> member(u,sigma(w)). % 299.97/300.33 1137[0:Res:35.2,68.0] little_set(u) || member(complement(v),w)*+ -> member(u,v)* member(u,sigma(w))*. % 299.97/300.33 384[0:SpR:36.0,35.2] little_set(u) || -> member(u,intersection(complement(v),complement(w)))* member(u,union(v,w)). % 299.97/300.33 944[0:Res:77.2,70.0] little_set(u) || subset(u,v)* subset(powerset(v),w)*+ -> member(u,w)*. % 299.97/300.33 1548[0:Res:94.1,76.0] || member(u,image(powerset(v),w)) -> subset(first(f22(u,powerset(v),w)),v)*. % 299.97/300.33 288[0:Res:86.1,31.0] || -> single_valued_set(intersection(u,v)) member(ordered_pair(f19(intersection(u,v)),f20(intersection(u,v))),u)*. % 299.97/300.33 18538[7:Res:11437.1,18456.1] || subset(universal_set,u)* disjoint(u,f25) -> . % 299.97/300.33 18456[7:Res:13861.1,18328.0] || disjoint(u,f25) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 18454[7:Res:13775.1,18328.0] || member(f25,u) disjoint(sigma(u),universal_set)* -> . % 299.97/300.33 287[0:Res:87.1,31.0] || -> single_valued_set(intersection(u,v)) member(ordered_pair(f19(intersection(u,v)),f21(intersection(u,v))),u)*. % 299.97/300.33 18328[7:Res:12431.1,1238.0] || subset(f25,u)* disjoint(u,universal_set) -> . % 299.97/300.33 18377[7:Res:13860.1,18330.0] || disjoint(universal_set,f25)* -> . % 299.97/300.33 280[0:Res:86.1,32.0] || -> single_valued_set(intersection(u,v)) member(ordered_pair(f19(intersection(u,v)),f20(intersection(u,v))),v)*. % 299.97/300.33 279[0:Res:87.1,32.0] || -> single_valued_set(intersection(u,v)) member(ordered_pair(f19(intersection(u,v)),f21(intersection(u,v))),v)*. % 299.97/300.33 18197[3:MRR:18146.1,6176.0] ordered_pair_predicate(u) || -> ordered_pair_predicate(ordered_pair(second(u),first(u)))*. % 299.97/300.33 4115[0:SSi:4107.0,371.0] ordered_pair_predicate(u) || -> member(ordered_pair(second(u),first(u)),v)* member(u,converse(complement(v))). % 299.97/300.33 12222[6:Res:65.1,10857.1] || member(u,infinity) equal(successor(successor(u)),universal_set)** -> . % 299.97/300.33 12196[6:Res:100.1,10857.1] || equal(successor(f23(u,infinity)),universal_set)** -> disjoint(u,infinity). % 299.97/300.33 1015[0:Res:46.1,43.0] || member(u,converse(cross_product(v,w)))*+ -> member(second(ordered_pair(second(u),first(u))),w)*. % 299.97/300.33 12185[6:Res:99.1,10857.1] || equal(successor(f23(infinity,u)),universal_set)** -> disjoint(infinity,u). % 299.97/300.33 12183[6:Res:71.1,10857.1] || equal(successor(f17(infinity,u)),universal_set)** -> subset(infinity,u). % 299.97/300.33 1014[0:Res:46.1,42.0] || member(u,converse(cross_product(v,w)))*+ -> member(first(ordered_pair(second(u),first(u))),v)*. % 299.97/300.33 17676[2:SpL:122.0,17668.0] || member(ordered_pair(u,v),apply_to_two_arguments(w,u,v))* -> . % 299.97/300.33 17677[2:SpL:587.0,17668.0] || member(singleton_set(singleton_set(u)),apply_to_two_arguments(v,u,u))* -> . % 299.97/300.33 310[0:SpR:36.0,36.0] || -> equal(union(intersection(complement(u),complement(v)),w),complement(intersection(union(u,v),complement(w))))**. % 299.97/300.33 309[0:SpR:36.0,36.0] || -> equal(union(u,intersection(complement(v),complement(w))),complement(intersection(complement(u),union(v,w))))**. % 299.97/300.33 17668[2:Obv:17652.0] || member(u,apply(v,u))* -> . % 299.97/300.33 1467[2:MRR:1466.0,117.1] || member(u,apply(v,w)) member(w,second(f28(u,v,w)))* -> . % 299.97/300.33 1473[1:MRR:1470.0,92.1] || member(u,image(v,w)) equal(first(f22(u,v,w)),u)** -> . % 299.97/300.33 17597[2:Obv:17596.0] || member(u,image(u,v))* -> . % 299.97/300.33 17598[3:MRR:17586.0,6177.1] || member(universal_set,image(u,v))* -> . % 299.97/300.33 1472[2:MRR:1471.0,92.1] || member(u,image(v,w)) member(first(f22(u,v,w)),u)* -> . % 299.97/300.33 427[0:Res:107.1,32.0] || member(u,range_of(intersection(v,w))) -> member(f27(u,intersection(v,w)),w)*. % 299.97/300.33 17289[0:SpR:113.0,14150.1] || disjoint(u,v) -> disjoint(v,restrict(u,w))*. % 299.97/300.33 426[0:Res:107.1,31.0] || member(u,range_of(intersection(v,w))) -> member(f27(u,intersection(v,w)),v)*. % 299.97/300.33 17151[0:SpR:113.0,14040.1] || disjoint(u,v) -> disjoint(restrict(u,w),v)*. % 299.97/300.33 14152[0:Obv:14142.1] || disjoint(u,v) -> disjoint(v,intersection(w,u))*. % 299.97/300.33 14150[0:Obv:14139.1] || disjoint(u,v) -> disjoint(v,intersection(u,w))*. % 299.97/300.33 14043[0:Obv:14033.1] || disjoint(u,v) -> disjoint(intersection(w,u),v)*. % 299.97/300.33 456[0:Res:66.1,32.0] || member(u,sigma(intersection(v,w))) -> member(f16(u,intersection(v,w)),w)*. % 299.97/300.33 14040[0:Obv:14028.1] || disjoint(u,v) -> disjoint(intersection(u,w),v)*. % 299.97/300.33 455[0:Res:66.1,31.0] || member(u,sigma(intersection(v,w))) -> member(f16(u,intersection(v,w)),v)*. % 299.97/300.33 17018[0:Res:1134.1,15955.0] || member(set_a,powerset(u))* -> member(a,u). % 299.97/300.33 15955[0:Obv:15953.0] || member(u,sigma(powerset(v)))* -> member(u,v). % 299.97/300.33 13975[0:Obv:13973.1] || member(u,v) -> disjoint(complement(sigma(v)),u)*. % 299.97/300.33 1242[0:MRR:1206.0,4.1] || equal(u,v)* member(u,w)* disjoint(w,non_ordered_pair(v,x))*+ -> . % 299.97/300.33 13941[0:Obv:13940.1] || member(u,v) -> disjoint(u,complement(sigma(v)))*. % 299.97/300.33 1241[0:MRR:1205.0,4.1] || equal(u,v)* member(u,w)* disjoint(w,non_ordered_pair(x,v))*+ -> . % 299.97/300.33 494[0:Res:38.1,32.0] || member(u,domain_of(intersection(v,w))) -> member(f8(u,intersection(v,w)),w)*. % 299.97/300.33 493[0:Res:38.1,31.0] || member(u,domain_of(intersection(v,w))) -> member(f8(u,intersection(v,w)),v)*. % 299.97/300.33 16012[6:MRR:16005.2,205.0] || equal(u,universal_set) equal(infinity,u)* -> . % 299.97/300.33 16011[2:MRR:16007.1,205.0] || equal(infinity,u) -> little_set(u)*. % 299.97/300.33 16010[3:MRR:16006.1,205.0] || equal(infinity,u) -> ordered_pair_predicate(u)*. % 299.97/300.33 1080[0:SpR:13.0,10.2] little_set(u) || equal(u,non_ordered_pair(v,w)) -> member(u,ordered_pair(v,w))*. % 299.97/300.33 15935[2:SSi:15922.0,63.0] || equal(infinity,u) disjoint(universal_set,singleton_set(u))* -> . % 299.97/300.33 945[0:Res:35.2,70.0] little_set(u) || subset(complement(v),w)*+ -> member(u,v)* member(u,w)*. % 299.97/300.33 15946[2:Res:11550.1,15933.0] || subset(universal_set,u)* -> member(infinity,u). % 299.97/300.33 15957[3:Res:15947.0,6160.0] || -> ordered_pair_predicate(infinity)*. % 299.97/300.33 15947[2:Res:9075.0,15933.0] || -> member(infinity,universal_set)*. % 299.97/300.33 946[0:Res:67.1,70.0] || member(u,sigma(v)) subset(f16(u,v),w)* -> member(u,w). % 299.97/300.33 15933[2:SSi:15925.0,63.0] || disjoint(universal_set,complement(u))* -> member(infinity,u). % 299.97/300.33 15819[2:Res:13860.1,15541.1] || disjoint(universal_set,u) member(infinity,u)* -> . % 299.97/300.33 15721[2:Res:13860.1,15525.1] || disjoint(universal_set,u) member(set_a,u)* -> . % 299.97/300.33 947[0:Res:26.1,70.0] || member(u,second(v)) subset(f7(u,v),w)* -> member(u,w). % 299.97/300.33 15679[2:Res:13860.1,15524.1] || disjoint(universal_set,u) member(set_b,u)* -> . % 299.97/300.33 948[0:Res:21.1,70.0] || member(u,first(v)) subset(f4(u,v),w)* -> member(u,w). % 299.97/300.33 963[0:Res:107.1,70.0] || member(u,range_of(v)) subset(v,w) -> member(f27(u,v),w)*. % 299.97/300.33 964[0:Res:66.1,70.0] || member(u,sigma(v)) subset(v,w) -> member(f16(u,v),w)*. % 299.97/300.33 15195[7:Res:15145.1,13802.0] || disjoint(successor(powerset(u)),infinity)* -> . % 299.97/300.33 965[0:Res:38.1,70.0] || member(u,domain_of(v)) subset(v,w) -> member(f8(u,v),w)*. % 299.97/300.33 15174[7:Res:15143.1,13802.0] || disjoint(successor(powerset(u)),universal_set)* -> . % 299.97/300.33 1278[0:Res:118.1,76.0] || member(u,apply(powerset(v),w)) -> subset(f28(u,powerset(v),w),v)*. % 299.97/300.33 1343[0:Res:93.1,76.0] || member(u,image(v,powerset(w))) -> subset(f22(u,v,powerset(w)),w)*. % 299.97/300.33 1021[0:Res:46.1,32.0] || member(u,converse(intersection(v,w)))*+ -> member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.33 1020[0:Res:46.1,31.0] || member(u,converse(intersection(v,w)))*+ -> member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.33 14828[7:Res:11437.1,14745.0] || subset(infinity,complement(powerset(u)))* -> . % 299.97/300.33 14745[7:Res:14727.0,1218.0] || disjoint(complement(complement(powerset(u))),infinity)* -> . % 299.97/300.33 14820[7:Res:11437.1,14741.0] || subset(universal_set,complement(powerset(u)))* -> . % 299.97/300.33 14741[7:Res:14727.0,1238.0] || disjoint(complement(complement(powerset(u))),universal_set)* -> . % 299.97/300.33 314[0:SpL:36.0,34.1] || member(u,intersection(complement(v),complement(w)))* member(u,union(v,w)) -> . % 299.97/300.33 14665[0:Res:11437.1,14114.1] || subset(set_b,u)* disjoint(u,set_b) -> . % 299.97/300.33 14114[0:Res:13993.1,1194.0] || disjoint(u,set_b) disjoint(complement(u),set_b)* -> . % 299.97/300.33 14649[0:Res:11437.1,14110.1] || subset(universal_set,u)* disjoint(u,set_b) -> . % 299.97/300.33 14110[0:Res:13993.1,1238.0] || disjoint(u,set_b) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 1216[0:Res:86.1,98.0] || member(ordered_pair(f19(u),f20(u)),v)* disjoint(v,u) -> single_valued_set(u). % 299.97/300.33 14600[0:Res:11437.1,14098.1] || subset(set_a,u)* disjoint(u,set_a) -> . % 299.97/300.33 14098[0:Res:13992.1,1197.0] || disjoint(u,set_a) disjoint(complement(u),set_a)* -> . % 299.97/300.33 14542[0:Res:11437.1,14094.1] || subset(universal_set,u)* disjoint(u,set_a) -> . % 299.97/300.33 14566[0:Obv:14562.1] || disjoint(u,u)* -> single_valued_set(u). % 299.97/300.33 1215[0:Res:87.1,98.0] || member(ordered_pair(f19(u),f21(u)),v)* disjoint(v,u) -> single_valued_set(u). % 299.97/300.33 14094[0:Res:13992.1,1238.0] || disjoint(u,set_a) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 14527[2:Res:11437.1,14080.1] || subset(infinity,u)* disjoint(u,infinity) -> . % 299.97/300.33 14080[2:Res:13991.1,1218.0] || disjoint(u,infinity) disjoint(complement(u),infinity)* -> . % 299.97/300.33 14498[2:Res:11437.1,14076.1] || subset(universal_set,u)* disjoint(u,infinity) -> . % 299.97/300.33 1152[0:Res:86.1,68.0] || member(u,v) -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),sigma(v))*. % 299.97/300.33 14076[2:Res:13991.1,1238.0] || disjoint(u,infinity) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 1151[0:Res:87.1,68.0] || member(u,v) -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),sigma(v))*. % 299.97/300.33 14420[6:MRR:12224.1,14418.0] || equal(successor(f26(infinity)),universal_set)** -> . % 299.97/300.33 372[0:SpR:13.0,13.0] || -> equal(non_ordered_pair(singleton_set(singleton_set(u)),ordered_pair(u,v)),ordered_pair(singleton_set(u),non_ordered_pair(u,v)))**. % 299.97/300.33 14419[6:MRR:12181.1,14418.0] || equal(successor(f24(infinity)),universal_set)** -> . % 299.97/300.33 14340[3:MRR:14339.1,210.0] || equal(set_a,a)** -> . % 299.97/300.33 1019[0:Res:46.1,34.1] || member(u,converse(complement(v))) member(ordered_pair(second(u),first(u)),v)* -> . % 299.97/300.33 14147[0:Obv:14137.1] || disjoint(u,v)*+ -> disjoint(v,u)*. % 299.97/300.33 14146[0:Obv:14135.1] || disjoint(u,u)*+ -> disjoint(u,v)*. % 299.97/300.33 1213[0:Res:99.1,98.0] || member(f23(u,v),w)* disjoint(w,u) -> disjoint(u,v). % 299.97/300.33 13992[0:Res:13861.1,942.0] || disjoint(u,set_a) -> member(a,complement(u))*. % 299.97/300.33 14038[0:Obv:14029.1] || disjoint(u,u)*+ -> disjoint(v,u)*. % 299.97/300.33 1221[0:Res:100.1,98.0] || member(f23(u,v),w)* disjoint(w,v) -> disjoint(u,v). % 299.97/300.33 13861[0:Obv:13854.1] || disjoint(u,v) -> subset(v,complement(u))*. % 299.97/300.33 1157[0:Res:100.1,68.0] || member(u,v) -> disjoint(w,u) member(f23(w,u),sigma(v))*. % 299.97/300.33 13859[0:Obv:13852.1] || disjoint(u,u)*+ -> subset(u,v)*. % 299.97/300.33 13878[2:Res:13860.1,11415.0] || disjoint(universal_set,u)*+ -> disjoint(v,u)*. % 299.97/300.33 13877[2:Res:13860.1,11528.0] || disjoint(universal_set,u)*+ -> disjoint(u,v)*. % 299.97/300.33 1149[0:Res:99.1,68.0] || member(u,v) -> disjoint(u,w) member(f23(u,w),sigma(v))*. % 299.97/300.33 13876[2:Res:13860.1,12891.0] || disjoint(universal_set,u)* -> single_valued_set(u). % 299.97/300.33 13860[2:Obv:13858.1] || disjoint(universal_set,u) -> subset(u,v)*. % 299.97/300.33 1214[0:Res:71.1,98.0] || member(f17(u,v),w)* disjoint(w,u) -> subset(u,v). % 299.97/300.33 13775[0:Obv:13774.1] || member(u,v) -> subset(u,sigma(v))*. % 299.97/300.33 1150[0:Res:71.1,68.0] || member(u,v) -> subset(u,w) member(f17(u,w),sigma(v))*. % 299.97/300.33 552[0:Res:71.1,42.0] || -> subset(cross_product(u,v),w) member(first(f17(cross_product(u,v),w)),u)*. % 299.97/300.33 13668[7:Res:13661.0,1238.0] || disjoint(powerset(u),universal_set)* -> . % 299.97/300.33 539[0:Res:71.1,43.0] || -> subset(cross_product(u,v),w) member(second(f17(cross_product(u,v),w)),v)*. % 299.97/300.33 1110[0:MRR:1109.0,213.1] || equal(f17(u,non_ordered_pair(v,w)),v)** -> subset(u,non_ordered_pair(v,w)). % 299.97/300.33 1087[0:MRR:1086.0,213.1] || equal(f17(u,non_ordered_pair(v,w)),w)** -> subset(u,non_ordered_pair(v,w)). % 299.97/300.33 556[0:Res:100.1,42.0] || -> disjoint(u,cross_product(v,w)) member(first(f23(u,cross_product(v,w))),v)*. % 299.97/300.33 551[0:Res:99.1,42.0] || -> disjoint(cross_product(u,v),w) member(first(f23(cross_product(u,v),w)),u)*. % 299.97/300.33 543[0:Res:100.1,43.0] || -> disjoint(u,cross_product(v,w)) member(second(f23(u,cross_product(v,w))),w)*. % 299.97/300.33 538[0:Res:99.1,43.0] || -> disjoint(cross_product(u,v),w) member(second(f23(cross_product(u,v),w)),v)*. % 299.97/300.33 10964[0:Res:9144.0,1239.1] || member(u,complement(complement(v)))* -> member(u,v). % 299.97/300.33 10865[6:EmS:10805.0,6237.1] || equal(f1(u,v),universal_set)** -> equal(u,v). % 299.97/300.33 10856[6:EmS:10805.0,6167.1] || equal(f23(u,v),universal_set)** -> disjoint(u,v). % 299.97/300.33 10855[6:EmS:10805.0,6168.1] || equal(f17(u,v),universal_set)** -> subset(u,v). % 299.97/300.33 1103[0:SpR:13.0,9.2] little_set(u) || equal(u,singleton_set(v)) -> member(u,ordered_pair(v,w))*. % 299.97/300.33 1240[0:MRR:1200.0,4.1] || subset(u,v)* member(u,w)* disjoint(w,powerset(v))*+ -> . % 299.97/300.33 13073[3:AED:13047.0] || disjoint(ordered_pair(universal_set,u),universal_set)* -> . % 299.97/300.33 11587[6:SpL:13.0,10931.0] || equal(f1(ordered_pair(u,v),universal_set),singleton_set(u))** -> . % 299.97/300.33 957[0:Res:86.1,70.0] || subset(u,v) -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.33 11000[2:Res:86.1,10966.0] || -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),universal_set)*. % 299.97/300.33 10999[2:Res:87.1,10966.0] || -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),universal_set)*. % 299.97/300.33 956[0:Res:87.1,70.0] || subset(u,v) -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.33 10804[6:SoR:10801.0,4578.2] || equal(universal_set,u) member(u,rotate_right(v))* -> . % 299.97/300.33 586[0:SpR:16.1,122.0] ordered_pair_predicate(u) || -> equal(apply_to_two_arguments(v,f2(u),f3(u)),apply(v,u))**. % 299.97/300.33 10803[6:SoR:10801.0,4549.2] || equal(universal_set,u) member(u,flip_range_of(v))* -> . % 299.97/300.33 12513[7:Res:12503.1,1218.0] || subset(universal_set,u) disjoint(sigma(u),infinity)* -> . % 299.97/300.33 12511[7:Res:12503.1,1238.0] || subset(universal_set,u) disjoint(sigma(u),universal_set)* -> . % 299.97/300.33 6200[3:MRR:4968.0,6160.1] little_set(second(u)) || member(u,v) -> member(second(u),range_of(v))*. % 299.97/300.33 6199[3:MRR:4922.0,6160.1] little_set(first(u)) || member(u,v) -> member(first(u),domain_of(v))*. % 299.97/300.33 425[0:Res:107.1,34.1] || member(u,range_of(complement(v))) member(f27(u,complement(v)),v)* -> . % 299.97/300.33 12432[7:Res:12395.0,1238.0] || disjoint(f25,universal_set)* -> . % 299.97/300.33 454[0:Res:66.1,34.1] || member(u,sigma(complement(v))) member(f16(u,complement(v)),v)* -> . % 299.97/300.33 492[0:Res:38.1,34.1] || member(u,domain_of(complement(v))) member(f8(u,complement(v)),v)* -> . % 299.97/300.33 1013[0:Res:46.1,76.0] || member(u,converse(powerset(v))) -> subset(ordered_pair(second(u),first(u)),v)*. % 299.97/300.33 1219[0:Res:65.1,98.0] || member(u,infinity) member(successor(u),v)* disjoint(v,infinity) -> . % 299.97/300.33 1155[0:Res:65.1,68.0] || member(u,infinity) member(infinity,v) -> member(successor(u),sigma(v))*. % 299.97/300.33 10857[6:EmS:10805.0,6165.1] || equal(successor(u),universal_set) member(u,infinity)* -> . % 299.97/300.33 12163[3:Obv:12154.0] || disjoint(ordered_pair(universal_set,u),infinity)* -> . % 299.97/300.33 259[0:Res:86.1,34.1] || member(ordered_pair(f19(complement(u)),f20(complement(u))),u)* -> single_valued_set(complement(u)). % 299.97/300.33 258[0:Res:87.1,34.1] || member(ordered_pair(f19(complement(u)),f21(complement(u))),u)* -> single_valued_set(complement(u)). % 299.97/300.33 11996[0:SpR:113.0,11992.0] || -> disjoint(complement(cross_product(u,universal_set)),restrict(v,u))*. % 299.97/300.33 11992[0:Obv:11986.0] || -> disjoint(complement(u),intersection(v,u))*. % 299.97/300.33 281[0:Res:100.1,32.0] || -> disjoint(u,intersection(v,w)) member(f23(u,intersection(v,w)),w)*. % 299.97/300.33 11550[0:Obv:11548.1] || subset(u,v) -> disjoint(u,complement(v))*. % 299.97/300.33 11841[0:SpR:113.0,11831.0] || -> disjoint(restrict(u,v),complement(cross_product(v,universal_set)))*. % 299.97/300.33 11831[0:Obv:11825.0] || -> disjoint(intersection(u,v),complement(v))*. % 299.97/300.33 277[0:Res:99.1,32.0] || -> disjoint(intersection(u,v),w) member(f23(intersection(u,v),w),v)*. % 299.97/300.33 11437[0:Obv:11434.1] || subset(u,v) -> disjoint(complement(v),u)*. % 299.97/300.33 11737[0:SpR:113.0,11733.0] || -> disjoint(complement(u),restrict(u,v))*. % 299.97/300.33 11733[0:Obv:11727.0] || -> disjoint(complement(u),intersection(u,v))*. % 299.97/300.33 289[0:Res:100.1,31.0] || -> disjoint(u,intersection(v,w)) member(f23(u,intersection(v,w)),v)*. % 299.97/300.33 11042[2:MRR:11002.1,10966.0] || -> equal(u,v) member(f1(u,v),universal_set)*. % 299.97/300.33 10998[2:Res:99.1,10966.0] || -> disjoint(u,v) member(f23(u,v),universal_set)*. % 299.97/300.33 11649[0:SpR:113.0,11639.0] || -> disjoint(restrict(u,v),complement(u))*. % 299.97/300.33 11639[0:Obv:11633.0] || -> disjoint(intersection(u,v),complement(u))*. % 299.97/300.33 285[0:Res:99.1,31.0] || -> disjoint(intersection(u,v),w) member(f23(intersection(u,v),w),u)*. % 299.97/300.33 10997[2:Res:71.1,10966.0] || -> subset(u,v) member(f17(u,v),universal_set)*. % 299.97/300.33 10932[6:MRR:4260.1,10928.0] || equal(f1(non_ordered_pair(u,v),universal_set),v)** -> . % 299.97/300.33 10931[6:MRR:4261.1,10928.0] || equal(f1(non_ordered_pair(u,v),universal_set),u)** -> . % 299.97/300.33 954[0:Res:99.1,70.0] || subset(u,v) -> disjoint(u,w) member(f23(u,w),v)*. % 299.97/300.33 11033[2:Res:65.1,10966.0] || member(u,infinity) -> member(successor(u),universal_set)*. % 299.97/300.33 961[0:Res:100.1,70.0] || subset(u,v) -> disjoint(w,u) member(f23(w,u),v)*. % 299.97/300.33 10923[6:EmS:10806.0,15.1] ordered_pair_predicate(u) || equal(f3(u),universal_set)** -> . % 299.97/300.33 955[0:Res:71.1,70.0] || subset(u,v) -> subset(u,w) member(f17(u,w),v)*. % 299.97/300.33 10922[6:EmS:10806.0,14.1] ordered_pair_predicate(u) || equal(f2(u),universal_set)** -> . % 299.97/300.33 10921[6:EmS:10806.0,78.1] little_set(u) || equal(powerset(u),universal_set)** -> . % 299.97/300.33 11311[0:SpR:113.0,11307.0] || -> subset(restrict(u,v),u)*. % 299.97/300.33 11307[0:Obv:11301.0] || -> subset(intersection(u,v),u)*. % 299.97/300.33 286[0:Res:71.1,31.0] || -> subset(intersection(u,v),w) member(f17(intersection(u,v),w),u)*. % 299.97/300.33 10920[6:EmS:10806.0,69.1] little_set(u) || equal(sigma(u),universal_set)** -> . % 299.97/300.33 11253[0:SpR:113.0,11249.0] || -> subset(restrict(u,v),cross_product(v,universal_set))*. % 299.97/300.33 11249[0:Obv:11243.0] || -> subset(intersection(u,v),v)*. % 299.97/300.33 278[0:Res:71.1,32.0] || -> subset(intersection(u,v),w) member(f17(intersection(u,v),w),v)*. % 299.97/300.33 10882[6:EmS:10805.0,6361.1] || equal(universal_set,u)* equal(a,u) -> . % 299.97/300.33 6177[3:MRR:1559.0,6158.0] || member(u,image(v,w)) -> ordered_pair_predicate(first(f22(u,v,w)))*. % 299.97/300.33 4238[0:MRR:4237.0,4237.1,132.1,131.1] || member(u,compose(v,w))*+ equal(x,u)* -> ordered_pair_predicate(x)*. % 299.97/300.33 10966[2:MRR:10956.1,205.0] || member(u,v)*+ -> member(u,universal_set)*. % 299.97/300.33 1545[0:Res:94.1,4.0] || member(u,image(v,w)) -> little_set(first(f22(u,v,w)))*. % 299.97/300.33 10930[6:MRR:8208.1,10919.0] || equal(f1(singleton_set(u),universal_set),u)** -> . % 299.97/300.33 10901[6:EmS:10806.0,85.1] || equal(f21(u),universal_set)** -> single_valued_set(u). % 299.97/300.33 10900[6:EmS:10806.0,84.1] || equal(f20(u),universal_set)** -> single_valued_set(u). % 299.97/300.33 1239[0:MRR:1201.0,4.1] || member(u,v)* disjoint(v,complement(w))*+ -> member(u,w)*. % 299.97/300.33 10899[6:EmS:10806.0,83.1] || equal(f19(u),universal_set)** -> single_valued_set(u). % 299.97/300.33 10928[6:EmS:10806.0,11.0] || equal(non_ordered_pair(u,v),universal_set)** -> . % 299.97/300.33 10905[6:EmS:10806.0,371.0] || equal(ordered_pair(u,v),universal_set)** -> . % 299.97/300.33 10919[6:EmS:10806.0,150.0] || equal(singleton_set(u),universal_set)** -> . % 299.97/300.33 616[2:MRR:614.0,106.1] || member(u,range_of(v)) member(first(f27(u,v)),u)* -> . % 299.97/300.33 10929[6:EmS:10806.0,63.0] || equal(infinity,universal_set)** -> . % 299.97/300.33 10806[6:SoR:10801.0,8203.2] little_set(u) || equal(u,universal_set)* -> . % 299.97/300.33 615[1:MRR:613.0,106.1] || member(u,range_of(v)) equal(first(f27(u,v)),u)** -> . % 299.97/300.33 10805[6:SoR:10801.0,3914.2] ordered_pair_predicate(u) || equal(universal_set,u)* -> . % 299.97/300.33 10799[6:Res:3069.1,10749.0] || equal(universal_set,a)** -> . % 299.97/300.33 10807[6:SoR:10801.0,5742.1] little_set(universal_set) || -> . % 299.97/300.33 10801[6:Res:376.1,10749.0] ordered_pair_predicate(universal_set) || -> . % 299.97/300.33 10749[6:Rew:5392.0,10747.0] || little_set(universal_set)* -> . % 299.97/300.33 10609[0:SpR:60.0,9159.0] || -> disjoint(successor(u),intersection(complement(u),complement(singleton_set(u))))*. % 299.97/300.33 9159[0:SpR:36.0,9144.0] || -> disjoint(union(u,v),intersection(complement(u),complement(v)))*. % 299.97/300.33 644[2:MRR:643.0,37.1] || member(u,domain_of(v)) member(u,second(f8(u,v)))* -> . % 299.97/300.33 10547[0:SpR:60.0,9090.0] || -> disjoint(intersection(complement(u),complement(singleton_set(u))),successor(u))*. % 299.97/300.33 9090[0:SpR:36.0,9075.0] || -> disjoint(intersection(complement(u),complement(v)),union(u,v))*. % 299.97/300.33 8205[2:MRR:8181.3,179.0] little_set(u) || equal(u,v)*+ -> little_set(v)*. % 299.97/300.33 8203[3:MRR:8180.3,179.0] little_set(u) || equal(u,v)*+ -> ordered_pair_predicate(v)*. % 299.97/300.33 490[0:Res:38.1,76.0] || member(u,domain_of(powerset(v))) -> subset(f8(u,powerset(v)),v)*. % 299.97/300.33 452[0:Res:66.1,76.0] || member(u,sigma(powerset(v))) -> subset(f16(u,powerset(v)),v)*. % 299.97/300.33 9920[2:SpR:2590.1,9160.0] || -> little_set(u) disjoint(successor(u),intersection(complement(u),universal_set))*. % 299.97/300.33 9919[3:SpR:6340.1,9160.0] || -> ordered_pair_predicate(u) disjoint(successor(u),intersection(complement(u),universal_set))*. % 299.97/300.33 9881[2:SpR:2590.1,9091.0] || -> little_set(u) disjoint(intersection(complement(u),universal_set),successor(u))*. % 299.97/300.33 9880[3:SpR:6340.1,9091.0] || -> ordered_pair_predicate(u) disjoint(intersection(complement(u),universal_set),successor(u))*. % 299.97/300.33 423[0:Res:107.1,76.0] || member(u,range_of(powerset(v))) -> subset(f27(u,powerset(v)),v)*. % 299.97/300.33 960[0:Res:65.1,70.0] || member(u,infinity) subset(infinity,v) -> member(successor(u),v)*. % 299.97/300.33 234[0:Res:86.1,76.0] || -> single_valued_set(powerset(u)) subset(ordered_pair(f19(powerset(u)),f20(powerset(u))),u)*. % 299.97/300.33 225[0:Res:87.1,76.0] || -> single_valued_set(powerset(u)) subset(ordered_pair(f19(powerset(u)),f21(powerset(u))),u)*. % 299.97/300.33 1275[0:Res:118.1,4.0] || member(u,apply(v,w)) -> little_set(f28(u,v,w))*. % 299.97/300.33 1340[0:Res:93.1,4.0] || member(u,image(v,w)) -> little_set(f22(u,v,w))*. % 299.97/300.33 1354[0:Rew:95.1,1345.1] || member(u,image(v,cross_product(w,x)))* -> member(u,x). % 299.97/300.33 8734[2:SpR:8436.0,60.0] || -> equal(successor(universal_set),universal_set)**. % 299.97/300.33 4578[0:MRR:4577.0,48.1] || member(u,rotate_right(v))*+ equal(w,u)* -> ordered_pair_predicate(w)*. % 299.97/300.33 9470[0:MRR:9464.0,5.0] || -> equal(powerset(universal_set),universal_set)**. % 299.97/300.33 4549[0:MRR:4548.0,54.1] || member(u,flip_range_of(v))*+ equal(w,u)* -> ordered_pair_predicate(w)*. % 299.97/300.33 9144[0:Obv:9143.0] || -> disjoint(complement(u),u)*. % 299.97/300.33 256[0:Res:99.1,34.1] || member(f23(complement(u),v),u)* -> disjoint(complement(u),v). % 299.97/300.33 9075[0:Obv:9074.0] || -> disjoint(u,complement(u))*. % 299.97/300.33 260[0:Res:100.1,34.1] || member(f23(u,complement(v)),v)* -> disjoint(u,complement(v)). % 299.97/300.33 8866[2:Rew:5392.0,8767.0] || -> equal(union(u,universal_set),universal_set)**. % 299.97/300.33 8436[2:Rew:5392.0,8273.0] || -> equal(union(universal_set,u),universal_set)**. % 299.97/300.33 1079[0:SpR:12.0,10.2] little_set(u) || equal(u,v) -> member(u,singleton_set(v))*. % 299.97/300.33 257[0:Res:71.1,34.1] || member(f17(complement(u),v),u)* -> subset(complement(u),v). % 299.97/300.33 684[0:MRR:682.0,213.1] || subset(f17(u,powerset(v)),v)* -> subset(u,powerset(v)). % 299.97/300.33 274[0:SpL:113.0,32.0] || member(u,restrict(v,w))* -> member(u,cross_product(w,universal_set)). % 299.97/300.33 6176[3:MRR:1023.0,6158.0] || member(u,converse(v))*+ -> ordered_pair_predicate(ordered_pair(second(u),first(u)))*. % 299.97/300.33 7326[0:MRR:7321.0,5.0] || member(universal_set,u)* -> equal(sigma(u),universal_set). % 299.97/300.33 560[0:Rew:39.1,559.1] || member(u,domain_of(cross_product(v,w)))* -> member(u,v). % 299.97/300.33 547[0:Rew:108.1,544.1] || member(u,range_of(cross_product(v,w)))* -> member(u,w). % 299.97/300.33 216[0:Res:71.1,76.0] || -> subset(powerset(u),v) subset(f17(powerset(u),v),u)*. % 299.97/300.33 206[0:Res:100.1,76.0] || -> disjoint(u,powerset(v)) subset(f23(u,powerset(v)),v)*. % 299.97/300.33 211[0:Res:99.1,76.0] || -> disjoint(powerset(u),v) subset(f23(powerset(u),v),u)*. % 299.97/300.33 395[0:MRR:393.0,213.1] || -> member(f17(u,complement(v)),v)* subset(u,complement(v)). % 299.97/300.33 6740[0:Obv:6734.0] little_set(u) || -> ordered_pair_predicate(singleton_set(singleton_set(u)))*. % 299.97/300.33 6742[2:MRR:380.0,6741.1] || member(first(u),second(u))* -> . % 299.97/300.33 3910[0:EqR:17.2] little_set(u) little_set(v) || -> ordered_pair_predicate(ordered_pair(v,u))*. % 299.97/300.33 943[0:Res:62.1,70.0] little_set(u) || subset(universal_set,v)*+ -> member(u,v)*. % 299.97/300.33 6173[3:MRR:458.0,6158.0] || member(u,sigma(v)) -> ordered_pair_predicate(f16(u,v))*. % 299.97/300.33 6171[3:MRR:244.0,6158.0] || -> single_valued_set(u) ordered_pair_predicate(ordered_pair(f19(u),f21(u)))*. % 299.97/300.33 6170[3:MRR:245.0,6158.0] || -> single_valued_set(u) ordered_pair_predicate(ordered_pair(f19(u),f20(u)))*. % 299.97/300.33 6193[3:MRR:96.0,6160.1] little_set(u) || member(v,w)* equal(second(v),u)*+ member(first(v),x)* -> member(u,image(x,w))*. % 299.97/300.33 6192[3:MRR:121.0,6160.1] || member(u,v)* member(w,second(u))*+ equal(first(u),x)* -> member(w,apply(v,x))*. % 299.97/300.33 5390[0:Res:4258.0,1238.0] || disjoint(u,universal_set)* -> equal(complement(u),universal_set). % 299.97/300.33 6237[3:MRR:6178.1,6160.0] || -> equal(u,v) ordered_pair_predicate(f1(u,v))*. % 299.97/300.33 6191[3:MRR:109.0,6160.1] little_set(u) || member(v,w)* equal(u,second(v))*+ -> member(u,range_of(w))*. % 299.97/300.33 6168[3:MRR:243.0,6158.0] || -> subset(u,v) ordered_pair_predicate(f17(u,v))*. % 299.97/300.33 6167[3:MRR:248.0,6158.0] || -> disjoint(u,v) ordered_pair_predicate(f23(u,v))*. % 299.97/300.33 6165[3:MRR:247.0,6158.0] || member(u,infinity) -> ordered_pair_predicate(successor(u))*. % 299.97/300.33 6190[3:MRR:40.0,6160.1] little_set(u) || member(v,w)* equal(u,first(v))*+ -> member(u,domain_of(w))*. % 299.97/300.33 6361[3:MRR:6354.1,210.0] || equal(a,u) -> ordered_pair_predicate(u)*. % 299.97/300.33 6160[3:MRR:79.0,6158.0] || member(u,v)* -> ordered_pair_predicate(u). % 299.97/300.33 5770[3:Rew:5768.0,4114.1] ordered_pair_predicate(u) || -> member(u,universal_set)*. % 299.97/300.33 6159[3:MRR:91.1,6158.0] single_valued_set(u) || -> function(u)*. % 299.97/300.33 6158[3:MRR:6157.0,161.1] || -> relation(u)*. % 299.97/300.33 5742[3:MRR:239.1,5429.0] little_set(u) || -> ordered_pair_predicate(u)*. % 299.97/300.33 6148[3:Obv:6137.0] || function(universal_set) -> one_to_one_function(universal_set)*. % 299.97/300.33 144[0:Inp] || closed(u,v) closed(w,x) equal(apply(y,apply_to_two_arguments(x,f32(y,w,x,u,v),f33(y,w,x,u,v))),apply_to_two_arguments(v,apply(y,f32(y,w,x,u,v)),apply(y,f33(y,w,x,u,v))))* maps(y,w,u) -> homomorphism(y,w,x,u,v). % 299.97/300.33 5768[3:MRR:4252.0,5743.1] || -> equal(converse(universal_set),universal_set)**. % 299.97/300.33 137[0:Inp] little_set(u) little_set(v) little_set(w) little_set(x) || equal(x,ordered_pair(w,v))*+ member(ordered_pair(u,v),y)* member(ordered_pair(w,u),z)* -> member(x,compose(z,y))*. % 299.97/300.33 59[0:Inp] little_set(u) little_set(v) little_set(w) little_set(x) || equal(x,ordered_pair(w,ordered_pair(v,u)))*+ member(ordered_pair(w,ordered_pair(u,v)),y)* -> member(x,flip_range_of(y))*. % 299.97/300.33 4258[0:MRR:4254.0,5.0] || -> member(f1(complement(u),universal_set),u)* equal(complement(u),universal_set). % 299.97/300.33 53[0:Inp] little_set(u) little_set(v) little_set(w) little_set(x) || equal(x,ordered_pair(w,ordered_pair(v,u)))*+ member(ordered_pair(v,ordered_pair(u,w)),y)* -> member(x,rotate_right(y))*. % 299.97/300.33 141[0:Inp] || member(u,v)* member(w,v)* homomorphism(x,v,y,z,x1)*+ -> equal(apply(x,apply_to_two_arguments(y,w,u)),apply_to_two_arguments(x1,apply(x,w),apply(x,u)))*. % 299.97/300.33 142[0:Inp] || closed(u,v) closed(w,x) maps(y,w,u) -> member(f32(y,w,x,u,v),w)* homomorphism(y,w,x,u,v). % 299.97/300.33 143[0:Inp] || closed(u,v) closed(w,x) maps(y,w,u) -> member(f33(y,w,x,u,v),w)* homomorphism(y,w,x,u,v). % 299.97/300.33 82[0:Inp] little_set(u) little_set(v) little_set(w) single_valued_set(x) || member(ordered_pair(w,u),x)*+ member(ordered_pair(w,v),x)* -> equal(v,u)*. % 299.97/300.33 27[0:Inp] little_set(u) little_set(v) || member(w,u)* equal(x,ordered_pair(v,u))*+ -> member(w,second(x))*. % 299.97/300.33 22[0:Inp] little_set(u) little_set(v) || member(w,v)* equal(x,ordered_pair(v,u))*+ -> member(w,first(x))*. % 299.97/300.33 52[0:Inp] || member(u,rotate_right(v)) -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),v)*. % 299.97/300.33 58[0:Inp] || member(u,flip_range_of(v)) -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),v)*. % 299.97/300.33 51[0:Inp] || member(u,rotate_right(v)) -> equal(ordered_pair(f9(u,v),ordered_pair(f10(u,v),f11(u,v))),u)**. % 299.97/300.33 57[0:Inp] || member(u,flip_range_of(v)) -> equal(ordered_pair(f12(u,v),ordered_pair(f13(u,v),f14(u,v))),u)**. % 299.97/300.33 378[0:MRR:44.1,376.1] ordered_pair_predicate(u) || member(second(u),v) member(first(u),w) -> member(u,cross_product(w,v))*. % 299.97/300.33 135[0:Inp] || member(u,compose(v,w)) -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),v)*. % 299.97/300.33 136[0:Inp] || member(u,compose(v,w)) -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),w)*. % 299.97/300.33 4163[0:MRR:4154.0,5.0] || member(f1(u,universal_set),u)* -> equal(u,universal_set). % 299.97/300.33 134[0:Inp] || member(u,compose(v,w)) -> equal(ordered_pair(f29(u,v,w),f30(u,v,w)),u)**. % 299.97/300.33 126[0:Inp] function(u) || subset(range_of(u),v) equal(domain_of(u),w) -> maps(u,w,v)*. % 299.97/300.33 130[0:Inp] little_set(u) little_set(v) || maps(u,cross_product(v,v),v)* -> closed(v,u). % 299.97/300.33 7[0:Inp] || member(f1(u,v),v)*+ member(f1(u,v),u)* -> equal(u,v). % 299.97/300.33 377[0:MRR:47.1,376.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(u,converse(v)). % 299.97/300.33 20[0:Inp] || member(u,first(v)) -> equal(ordered_pair(f4(u,v),f5(u,v)),v)**. % 299.97/300.33 3914[0:SSi:3911.2,3911.1,14.1,15.1] ordered_pair_predicate(u) || equal(v,u)*+ -> ordered_pair_predicate(v)*. % 299.97/300.33 25[0:Inp] || member(u,second(v)) -> equal(ordered_pair(f6(u,v),f7(u,v)),v)**. % 299.97/300.33 17[0:Inp] little_set(u) little_set(v) || equal(w,ordered_pair(v,u))*+ -> ordered_pair_predicate(w)*. % 299.97/300.33 6[0:Inp] || -> equal(u,v) member(f1(u,v),v)* member(f1(u,v),u)*. % 299.97/300.33 119[0:Inp] || member(u,apply(v,w)) -> equal(first(f28(u,v,w)),w)**. % 299.97/300.33 94[0:Inp] || member(u,image(v,w)) -> member(first(f22(u,v,w)),v)*. % 299.97/300.33 95[0:Inp] || member(u,image(v,w)) -> equal(second(f22(u,v,w)),u)**. % 299.97/300.33 33[0:Inp] || member(u,v) member(u,w) -> member(u,intersection(w,v))*. % 299.97/300.33 120[0:Inp] || member(u,apply(v,w)) -> member(u,second(f28(u,v,w)))*. % 299.97/300.33 118[0:Inp] || member(u,apply(v,w)) -> member(f28(u,v,w),v)*. % 299.97/300.33 93[0:Inp] || member(u,image(v,w)) -> member(f22(u,v,w),w)*. % 299.97/300.33 98[0:Inp] || member(u,v)*+ member(u,w)* disjoint(w,v)* -> . % 299.97/300.33 68[0:Inp] || member(u,v)*+ member(v,w)* -> member(u,sigma(w))*. % 299.97/300.33 9[0:Inp] little_set(u) || equal(u,v) -> member(u,non_ordered_pair(v,w))*. % 299.97/300.33 1419[3:SSi:1413.0,159.0,991.0] || equal(a,u) disjoint(non_ordered_pair(u,v),set_a)* -> . % 299.97/300.33 10[0:Inp] little_set(u) || equal(u,v) -> member(u,non_ordered_pair(w,v))*. % 299.97/300.33 46[0:Inp] || member(u,converse(v)) -> member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.33 117[0:Inp] || member(u,apply(v,w)) -> ordered_pair_predicate(f28(u,v,w))*. % 299.97/300.33 92[0:Inp] || member(u,image(v,w)) -> ordered_pair_predicate(f22(u,v,w))*. % 299.97/300.33 70[0:Inp] || member(u,v)*+ subset(v,w)* -> member(u,w)*. % 299.97/300.33 3069[3:MRR:3068.1,210.0] || equal(a,u) -> little_set(u)*. % 299.97/300.33 3066[3:SpL:12.0,1418.1] || equal(a,u) disjoint(singleton_set(u),set_a)* -> . % 299.97/300.33 1418[3:SSi:1412.0,159.0,991.0] || equal(a,u) disjoint(non_ordered_pair(v,u),set_a)* -> . % 299.97/300.33 108[0:Inp] || member(u,range_of(v)) -> equal(second(f27(u,v)),u)**. % 299.97/300.33 39[0:Inp] || member(u,domain_of(v)) -> equal(first(f8(u,v)),u)**. % 299.97/300.33 77[0:Inp] little_set(u) || subset(u,v) -> member(u,powerset(v))*. % 299.97/300.33 75[0:Inp] || subset(u,v) -> equal(u,v) proper_subset(u,v)*. % 299.97/300.33 107[0:Inp] || member(u,range_of(v)) -> member(f27(u,v),v)*. % 299.97/300.33 66[0:Inp] || member(u,sigma(v)) -> member(f16(u,v),v)*. % 299.97/300.33 38[0:Inp] || member(u,domain_of(v)) -> member(f8(u,v),v)*. % 299.97/300.33 67[0:Inp] || member(u,sigma(v)) -> member(u,f16(u,v))*. % 299.97/300.33 21[0:Inp] || member(u,first(v)) -> member(u,f4(u,v))*. % 299.97/300.33 26[0:Inp] || member(u,second(v)) -> member(u,f7(u,v))*. % 299.97/300.33 35[0:Inp] little_set(u) || -> member(u,v) member(u,complement(v))*. % 299.97/300.33 36[0:Inp] || -> equal(complement(intersection(complement(u),complement(v))),union(u,v))**. % 299.97/300.33 282[0:SpL:113.0,31.0] || member(u,restrict(v,w))* -> member(u,v). % 299.97/300.33 420[0:Res:107.1,4.0] || member(u,range_of(v)) -> little_set(f27(u,v))*. % 299.97/300.33 449[0:Res:66.1,4.0] || member(u,sigma(v)) -> little_set(f16(u,v))*. % 299.97/300.33 487[0:Res:38.1,4.0] || member(u,domain_of(v)) -> little_set(f8(u,v))*. % 299.97/300.33 97[0:Inp] function(u) little_set(v) || -> little_set(image(v,u))*. % 299.97/300.33 31[0:Inp] || member(u,intersection(v,w))* -> member(u,v). % 299.97/300.33 32[0:Inp] || member(u,intersection(v,w))* -> member(u,w). % 299.97/300.33 125[0:Inp] || maps(u,v,w)* -> subset(range_of(u),w). % 299.97/300.33 219[0:Res:114.1,116.1] one_to_one_function(converse(u)) function(u) || -> one_to_one_function(u)*. % 299.97/300.33 227[0:SoR:221.0,90.1] function(u) function(converse(u)) || -> one_to_one_function(u)*. % 299.97/300.33 221[0:SSi:218.1,176.0] single_valued_set(converse(u)) function(u) || -> one_to_one_function(u)*. % 299.97/300.33 72[0:Inp] || member(f17(u,v),v)* -> subset(u,v). % 299.97/300.33 18[0:Inp] || member(u,first(v)) -> little_set(f4(u,v))*. % 299.97/300.33 19[0:Inp] || member(u,first(v)) -> little_set(f5(u,v))*. % 299.97/300.33 23[0:Inp] || member(u,second(v)) -> little_set(f6(u,v))*. % 299.97/300.33 24[0:Inp] || member(u,second(v)) -> little_set(f7(u,v))*. % 299.97/300.33 106[0:Inp] || member(u,range_of(v)) -> ordered_pair_predicate(f27(u,v))*. % 299.97/300.33 1257[0:Res:1133.1,1194.0] || member(set_b,u) disjoint(sigma(u),set_b)* -> . % 299.97/300.33 37[0:Inp] || member(u,domain_of(v)) -> ordered_pair_predicate(f8(u,v))*. % 299.97/300.33 1405[0:Res:1134.1,1197.0] || member(set_a,u) disjoint(sigma(u),set_a)* -> . % 299.97/300.33 34[0:Inp] || member(u,v) member(u,complement(v))* -> . % 299.97/300.33 1458[2:Res:1154.1,1218.0] || member(infinity,u) disjoint(sigma(u),infinity)* -> . % 299.97/300.33 86[0:Inp] || -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),u)*. % 299.97/300.33 87[0:Inp] || -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),u)*. % 299.97/300.33 1539[2:Res:1154.1,1238.0] || member(infinity,u) disjoint(sigma(u),universal_set)* -> . % 299.97/300.33 1497[0:Res:1134.1,1238.0] || member(set_a,u) disjoint(sigma(u),universal_set)* -> . % 299.97/300.33 1494[0:Res:1133.1,1238.0] || member(set_b,u) disjoint(sigma(u),universal_set)* -> . % 299.97/300.33 113[0:Inp] || -> equal(intersection(u,cross_product(v,universal_set)),restrict(u,v))**. % 299.97/300.33 561[0:Res:129.1,125.0] || closed(u,v) -> subset(range_of(v),u)*. % 299.97/300.33 116[0:Inp] function(u) || function(converse(u))* -> one_to_one_function(u). % 299.97/300.33 100[0:Inp] || -> disjoint(u,v) member(f23(u,v),v)*. % 299.97/300.33 1444[0:Obv:1420.1] || member(u,singleton_set(v))* -> equal(u,v). % 299.97/300.33 99[0:Inp] || -> disjoint(u,v) member(f23(u,v),u)*. % 299.97/300.33 71[0:Inp] || -> subset(u,v) member(f17(u,v),u)*. % 299.97/300.33 1238[0:MRR:1199.0,4.1] || member(u,v)* disjoint(v,universal_set) -> . % 299.97/300.33 1197[0:Res:1.0,98.0] || member(a,u)* disjoint(u,set_a) -> . % 299.97/300.33 76[0:Inp] || member(u,powerset(v))* -> subset(u,v). % 299.97/300.33 1134[0:Res:1.0,68.0] || member(set_a,u) -> member(a,sigma(u))*. % 299.97/300.33 88[0:Inp] || equal(f21(u),f20(u))** -> single_valued_set(u). % 299.97/300.33 1511[4:Res:967.1,1238.0] || subset(universal_set,u)* disjoint(u,universal_set) -> . % 299.97/300.33 65[0:Inp] || member(u,infinity) -> member(successor(u),infinity)*. % 299.97/300.33 213[0:Res:71.1,4.0] || -> subset(u,v) little_set(f17(u,v))*. % 299.97/300.33 73[0:Inp] || proper_subset(u,v)* -> subset(u,v). % 299.97/300.33 1520[0:Res:100.1,1238.0] || disjoint(u,universal_set)*+ -> disjoint(v,u)*. % 299.97/300.33 1513[0:Res:71.1,1238.0] || disjoint(u,universal_set) -> subset(u,v)*. % 299.97/300.33 123[0:Inp] || maps(u,v,w)* -> function(u). % 299.97/300.33 1512[0:Res:99.1,1238.0] || disjoint(u,universal_set)*+ -> disjoint(u,v)*. % 299.97/300.33 197[0:Res:65.1,4.0] || member(u,infinity) -> little_set(successor(u))*. % 299.97/300.33 942[0:Res:1.0,70.0] || subset(set_a,u)* -> member(a,u). % 299.97/300.33 60[0:Inp] || -> equal(union(u,singleton_set(u)),successor(u))**. % 299.97/300.33 984[0:Res:981.0,70.0] || subset(universal_set,u)* -> member(a,u). % 299.97/300.33 563[0:Res:129.1,123.0] || closed(u,v)* -> function(v). % 299.97/300.33 115[0:Inp] one_to_one_function(u) || -> function(converse(u))*. % 299.97/300.33 1514[0:Res:87.1,1238.0] || disjoint(u,universal_set)* -> single_valued_set(u). % 299.97/300.33 62[0:Inp] little_set(u) || -> member(u,universal_set)*. % 299.97/300.33 114[0:Inp] one_to_one_function(u) || -> function(u)*. % 299.97/300.33 83[0:Inp] || -> single_valued_set(u) little_set(f19(u))*. % 299.97/300.33 84[0:Inp] || -> single_valued_set(u) little_set(f20(u))*. % 299.97/300.33 85[0:Inp] || -> single_valued_set(u) little_set(f21(u))*. % 299.97/300.33 1266[0:Res:970.0,1194.0] || disjoint(universal_set,set_b)* -> . % 299.97/300.33 1414[0:Res:981.0,1197.0] || disjoint(universal_set,set_a)* -> . % 299.97/300.33 1455[2:Res:996.0,1218.0] || disjoint(universal_set,infinity)* -> . % 299.97/300.33 1492[0:Res:2.0,1238.0] || disjoint(set_b,universal_set)* -> . % 299.97/300.33 90[0:Inp] function(u) || -> single_valued_set(u)*. % 299.97/300.33 1495[0:Res:1.0,1238.0] || disjoint(set_a,universal_set)* -> . % 299.97/300.33 1517[2:Res:178.0,1238.0] || disjoint(infinity,universal_set)* -> . % 299.97/300.33 1529[4:Res:828.0,1238.0] || disjoint(universal_set,universal_set)* -> . % 299.97/300.33 267[0:Obv:266.0] || -> subset(u,u)*. % 299.97/300.33 268[0:MRR:265.0,213.1] || -> subset(u,universal_set)*. % 299.97/300.33 981[0:Res:268.0,942.0] || -> member(a,universal_set)*. % 299.97/300.33 103[0:Inp] || -> function(f25)*. % 299.97/300.33 1416[3:SSi:1408.0,159.0,991.0] || disjoint(complement(u),set_a)* -> member(a,u). % 299.97/300.33 1461[3:MRR:1460.0,215.0] || disjoint(powerset(u),infinity)* -> . % 299.97/300.33 1454[2:Res:178.0,1218.0] || disjoint(infinity,infinity)* -> . % 299.97/300.33 1403[0:Res:1.0,1197.0] || disjoint(set_a,set_a)* -> . % 299.97/300.33 8[0:Inp] || member(u,non_ordered_pair(v,w))* -> equal(u,w) equal(u,v). % 299.97/300.33 1255[0:Res:2.0,1194.0] || disjoint(set_b,set_b)* -> . % 299.97/300.33 991[3:SSi:990.0,527.0] || -> ordered_pair_predicate(a)*. % 299.97/300.33 140[0:Inp] || homomorphism(u,v,w,x,y)* -> maps(u,v,x). % 299.97/300.33 131[0:Inp] || member(u,compose(v,w)) -> little_set(f29(u,v,w))*. % 299.97/300.33 132[0:Inp] || member(u,compose(v,w)) -> little_set(f30(u,v,w))*. % 299.97/300.33 133[0:Inp] || member(u,compose(v,w)) -> little_set(f31(u,v,w))*. % 299.97/300.33 587[0:SpR:375.0,122.0] || -> equal(apply(u,singleton_set(singleton_set(v))),apply_to_two_arguments(u,v,v))*. % 299.97/300.33 562[0:Res:129.1,124.0] || closed(u,v)*+ -> equal(domain_of(v),cross_product(u,u))*. % 299.97/300.33 138[0:Inp] || homomorphism(u,v,w,x,y)* -> closed(v,w). % 299.97/300.33 139[0:Inp] || homomorphism(u,v,w,x,y)* -> closed(x,y). % 299.97/300.33 122[0:Inp] || -> equal(apply(u,ordered_pair(v,w)),apply_to_two_arguments(u,v,w))**. % 299.97/300.33 129[0:Inp] || closed(u,v) -> maps(v,cross_product(u,u),u)*. % 299.97/300.33 42[0:Inp] || member(u,cross_product(v,w))* -> member(first(u),v). % 299.97/300.33 43[0:Inp] || member(u,cross_product(v,w))* -> member(second(u),w). % 299.97/300.33 379[1:MRR:172.1,376.1] ordered_pair_predicate(u) || equal(second(u),first(u))** -> . % 299.97/300.33 375[0:Rew:12.0,374.0] || -> equal(ordered_pair(u,u),singleton_set(singleton_set(u)))**. % 299.97/300.33 376[0:SpR:16.1,371.0] ordered_pair_predicate(u) || -> little_set(u)*. % 299.97/300.33 371[0:SpR:13.0,11.0] || -> little_set(ordered_pair(u,v))*. % 299.97/300.33 13[0:Inp] || -> equal(non_ordered_pair(singleton_set(u),non_ordered_pair(u,v)),ordered_pair(u,v))**. % 299.97/300.33 16[0:Inp] ordered_pair_predicate(u) || -> equal(ordered_pair(f2(u),f3(u)),u)**. % 299.97/300.33 124[0:Inp] || maps(u,v,w)* -> equal(domain_of(u),v). % 299.97/300.33 48[0:Inp] || member(u,rotate_right(v)) -> little_set(f9(u,v))*. % 299.97/300.33 49[0:Inp] || member(u,rotate_right(v)) -> little_set(f10(u,v))*. % 299.97/300.33 50[0:Inp] || member(u,rotate_right(v)) -> little_set(f11(u,v))*. % 299.97/300.33 54[0:Inp] || member(u,flip_range_of(v)) -> little_set(f12(u,v))*. % 299.97/300.33 55[0:Inp] || member(u,flip_range_of(v)) -> little_set(f13(u,v))*. % 299.97/300.33 56[0:Inp] || member(u,flip_range_of(v)) -> little_set(f14(u,v))*. % 299.97/300.33 203[0:Res:100.1,4.0] || -> disjoint(u,v) little_set(f23(u,v))*. % 299.97/300.33 74[0:Inp] || equal(u,v) proper_subset(u,v)* -> . % 299.97/300.33 5[0:Inp] || -> little_set(f1(u,v))* equal(u,v). % 299.97/300.33 159[0:Res:1.0,4.0] || -> little_set(a)*. % 299.97/300.33 4[0:Inp] || member(u,v)* -> little_set(u). % 299.97/300.33 127[0:Inp] || closed(u,v)* -> little_set(u). % 299.97/300.33 128[0:Inp] || closed(u,v)* -> little_set(v). % 299.97/300.33 150[0:SpR:12.0,11.0] || -> little_set(singleton_set(u))*. % 299.97/300.33 12[0:Inp] || -> equal(non_ordered_pair(u,u),singleton_set(u))**. % 299.97/300.33 69[0:Inp] little_set(u) || -> little_set(sigma(u))*. % 299.97/300.33 78[0:Inp] little_set(u) || -> little_set(powerset(u))*. % 299.97/300.33 14[0:Inp] ordered_pair_predicate(u) || -> little_set(f2(u))*. % 299.97/300.33 15[0:Inp] ordered_pair_predicate(u) || -> little_set(f3(u))*. % 299.97/300.33 11[0:Inp] || -> little_set(non_ordered_pair(u,v))*. % 299.97/300.33 1[0:Inp] || -> member(a,set_a)*. % 299.97/300.33 63[0:Inp] || -> little_set(infinity)*.105491[16:Res:105469.0,34.1] || member(a,singleton_set(complement(singleton_set(set_a))))* -> . % 299.97/300.33 105489[16:Res:105469.0,1238.0] || disjoint(complement(singleton_set(complement(singleton_set(set_a)))),universal_set)* -> . % 299.97/300.33 105492[16:Res:105469.0,102359.1] || disjoint(infinity,complement(singleton_set(complement(singleton_set(set_a)))))* -> . % 299.97/300.33 105493[16:Res:105469.0,101072.1] || disjoint(set_a,complement(singleton_set(complement(singleton_set(set_a)))))* -> . % 299.97/300.33 105494[16:Res:105469.0,98786.1] || disjoint(set_b,complement(singleton_set(complement(singleton_set(set_a)))))* -> . % 299.97/300.33 105495[16:Res:105469.0,55636.1] || disjoint(universal_set,complement(singleton_set(complement(singleton_set(set_a)))))* -> . % 299.97/300.33 105496[16:Res:105469.0,54995.0] || disjoint(complement(singleton_set(complement(singleton_set(set_a)))),set_b)* -> . % 299.97/300.33 105497[16:Res:105469.0,54989.0] || disjoint(complement(singleton_set(complement(singleton_set(set_a)))),infinity)* -> . % 299.97/300.33 105498[16:Res:105469.0,1197.0] || disjoint(complement(singleton_set(complement(singleton_set(set_a)))),set_a)* -> . % 299.97/300.33 105499[16:Res:105469.0,92502.1] || equal(complement(singleton_set(complement(singleton_set(set_a)))),a)** -> . % 299.97/300.33 82588[0:Obv:82568.1] || member(u,v) -> disjoint(singleton_set(u),complement(v))*. % 299.97/300.33 82589[0:Obv:82552.0] || -> disjoint(singleton_set(u),intersection(v,w))* member(u,v). % 299.97/300.33 82590[0:Obv:82553.0] || -> disjoint(singleton_set(u),intersection(v,w))* member(u,w). % 299.97/300.33 82612[16:Res:82575.0,57335.0] || -> member(u,powerset(v))* member(a,complement(singleton_set(u)))*. % 299.97/300.33 82613[16:Res:82575.0,55599.1] || member(a,singleton_set(u))* -> member(u,powerset(v))*. % 299.97/300.33 83216[0:Obv:83195.1] || member(u,v) -> disjoint(complement(v),singleton_set(u))*. % 299.97/300.33 83218[0:Obv:83181.0] || -> disjoint(intersection(u,v),singleton_set(w))* member(w,u). % 299.97/300.33 83219[0:Obv:83182.0] || -> disjoint(intersection(u,v),singleton_set(w))* member(w,v). % 299.97/300.33 83586[16:MRR:57644.1,83558.0] ordered_pair_predicate(powerset(u)) || -> subset(f26(powerset(u)),u)*. % 299.97/300.33 84276[16:Res:58828.1,25497.0] || disjoint(u,u)* -> equal(apply(u,v),a)**. % 299.97/300.33 84792[16:Res:58828.1,25631.0] || disjoint(u,u)* -> equal(image(v,u),a)**. % 299.97/300.33 85249[16:Res:58828.1,26864.0] || disjoint(u,u)* -> equal(image(u,v),a)**. % 299.97/300.33 85699[16:Res:58828.1,38159.0] || disjoint(u,u)* -> equal(compose(v,u),a)**. % 299.97/300.33 86141[16:Res:58828.1,38278.0] || disjoint(u,u)* -> equal(compose(u,v),a)**. % 299.97/300.33 88700[16:Res:88372.1,1238.0] || disjoint(complement(singleton_set(u)),universal_set)* -> subset(u,v)*. % 299.97/300.33 88703[16:Res:88372.1,55636.1] || disjoint(universal_set,complement(singleton_set(u)))* -> subset(u,v)*. % 299.97/300.33 88704[16:Res:88372.1,54995.0] || disjoint(complement(singleton_set(u)),set_b)* -> subset(u,v)*. % 299.97/300.33 88705[16:Res:88372.1,54989.0] || disjoint(complement(singleton_set(u)),infinity)* -> subset(u,v)*. % 299.97/300.33 88706[16:Res:88372.1,1197.0] || disjoint(complement(singleton_set(u)),set_a)* -> subset(u,v)*. % 299.97/300.33 88951[16:Res:88674.0,70.0] || subset(complement(singleton_set(f25)),u)* -> member(a,u). % 299.97/300.33 89590[16:Res:83576.0,56180.0] || disjoint(u,universal_set) -> equal(f24(powerset(u)),a)**. % 299.97/300.33 89627[16:MRR:89587.2,55129.0] || subset(universal_set,powerset(u))* disjoint(u,universal_set) -> . % 299.97/300.33 89813[0:Obv:89805.1] || equal(u,v) -> subset(singleton_set(u),singleton_set(v))*. % 299.97/300.33 91679[16:Res:88690.1,56729.0] || equal(complement(u),a) -> member(powerset(a),u)*. % 299.97/300.33 91680[16:Res:88690.1,41305.0] || equal(complement(u),a) disjoint(universal_set,u)* -> . % 299.97/300.33 91854[16:Res:88690.1,57731.0] || equal(complement(image(ordered_pair(universal_set,u),v)),a)** -> . % 299.97/300.33 91857[16:Res:88690.1,57634.0] || equal(complement(u),a) -> member(sigma(infinity),u)*. % 299.97/300.33 91858[16:Res:88690.1,57633.1] || equal(complement(u),a) disjoint(u,infinity)* -> . % 299.97/300.33 91860[16:Res:88690.1,58874.0] || equal(complement(u),a) -> member(singleton_set(a),u)*. % 299.97/300.33 91861[16:Res:88690.1,58848.0] || equal(complement(u),a) -> member(a,sigma(u))*. % 299.97/300.33 91862[16:Res:88690.1,57729.1] || equal(sigma(u),a) member(infinity,u)* -> . % 299.97/300.33 92030[16:Res:91847.1,60817.1] || equal(complement(u),a) disjoint(u,set_a)* -> . % 299.97/300.33 92032[16:Res:91847.1,14114.1] || equal(complement(u),a) disjoint(u,set_b)* -> . % 299.97/300.33 92049[16:Res:91847.1,64134.1] || equal(sigma(u),a) subset(infinity,u)* -> . % 299.97/300.33 92050[16:Res:91847.1,64118.1] || equal(sigma(u),a) subset(universal_set,u)* -> . % 299.97/300.33 92051[16:Res:91847.1,60815.1] || equal(sigma(u),a) member(set_a,u)* -> . % 299.97/300.33 92053[16:Res:91847.1,1257.1] || equal(sigma(u),a) member(set_b,u)* -> . % 299.97/300.33 92057[16:Res:91847.1,55015.1] || equal(singleton_set(u),a)** equal(a,u) -> . % 299.97/300.33 92060[16:Res:91847.1,70726.0] || equal(successor(u),a) member(a,u)* -> . % 299.97/300.33 92061[16:Res:91847.1,65013.1] || equal(successor(u),a)** equal(a,u) -> . % 299.97/300.33 92067[16:Res:91847.1,70727.0] || equal(successor(complement(u)),a)** -> member(a,u). % 299.97/300.33 92200[16:Res:91847.1,18454.1] || equal(sigma(u),a) member(f25,u)* -> . % 299.97/300.33 92217[16:Res:91847.1,57306.0] || equal(complement(u),a) subset(u,a)* -> . % 299.97/300.33 92226[16:Res:91847.1,20306.0] || equal(complement(u),a) disjoint(u,u)* -> . % 299.97/300.33 92227[16:Res:91847.1,18456.1] || equal(complement(u),a) disjoint(u,f25)* -> . % 299.97/300.33 92238[16:Res:91847.1,55612.0] || equal(complement(powerset(u)),a)** -> member(a,u). % 299.97/300.33 92425[16:Res:91847.1,41423.0] || equal(sigma(complement(apply_to_two_arguments(u,universal_set,v))),a)** -> . % 299.97/300.33 92452[16:Res:91847.1,20607.1] || equal(singleton_set(u),a)** equal(infinity,u) -> . % 299.97/300.33 93056[16:MRR:93044.2,83558.0] || disjoint(complement(u),powerset(a))* -> member(a,u). % 299.97/300.33 93152[16:Res:91847.1,57678.0] || equal(a,u) -> equal(intersection(u,v),a)**. % 299.97/300.33 93158[16:Res:14150.1,57678.0] || disjoint(u,u)* -> equal(intersection(u,v),a)**. % 299.97/300.33 93160[16:Res:58849.0,57678.0] || -> member(a,u) equal(intersection(powerset(a),u),a)**. % 299.97/300.33 93162[16:Res:14152.1,57678.0] || disjoint(u,v) -> equal(intersection(v,u),a)**. % 299.97/300.33 93794[16:Res:91848.1,23068.1] || equal(successor(u),a) subset(infinity,u)* -> . % 299.97/300.33 93939[16:Res:91847.1,57709.0] || equal(a,u) -> equal(intersection(v,u),a)**. % 299.97/300.33 93946[16:Res:14150.1,57709.0] || disjoint(u,v) -> equal(intersection(u,v),a)**. % 299.97/300.33 93947[16:Res:58852.0,57709.0] || -> member(a,u) equal(intersection(u,powerset(a)),a)**. % 299.97/300.33 93949[16:Res:14152.1,57709.0] || disjoint(u,u)* -> equal(intersection(v,u),a)**. % 299.97/300.33 94462[16:Res:83576.0,14041.0] || disjoint(u,v) -> disjoint(f24(powerset(u)),v)*. % 299.97/300.33 94485[16:Res:55054.0,14041.0] || disjoint(singleton_set(a),u) -> disjoint(powerset(a),u)*. % 299.97/300.33 94487[16:Res:55055.0,14041.0] || disjoint(powerset(u),v)* -> disjoint(powerset(a),v)*. % 299.97/300.33 94792[16:Res:83576.0,14151.0] || disjoint(u,v) -> disjoint(v,f24(powerset(u)))*. % 299.97/300.33 94815[16:Res:55054.0,14151.0] || disjoint(singleton_set(a),u)* -> disjoint(u,powerset(a))*. % 299.97/300.33 94817[16:Res:55055.0,14151.0] || disjoint(powerset(u),v)* -> disjoint(v,powerset(a))*. % 299.97/300.33 94857[16:Res:91681.1,76.0] || equal(complement(powerset(u)),a)** -> subset(infinity,u). % 299.97/300.33 94858[16:Res:91681.1,1444.0] || equal(complement(singleton_set(u)),a)** -> equal(infinity,u). % 299.97/300.33 94876[16:Res:91681.1,25946.0] || equal(complement(image(intersection(infinity,u),v)),a)** -> . % 299.97/300.33 94877[16:Res:91681.1,26103.0] || equal(complement(image(intersection(u,infinity),v)),a)** -> . % 299.97/300.33 94878[16:Res:91681.1,25950.0] || equal(complement(image(restrict(infinity,u),v)),a)** -> . % 299.97/300.33 94880[16:Res:91681.1,25810.0] || equal(complement(image(u,cross_product(infinity,v))),a)** -> . % 299.97/300.33 95386[16:Res:92031.1,1444.0] || equal(complement(singleton_set(u)),a)** -> equal(a,u). % 299.97/300.33 95458[16:SpR:92186.1,115.1] one_to_one_function(u) || equal(a,u)* -> function(a)*. % 299.97/300.33 96037[16:Rew:55080.0,95490.1,29204.0,95490.1] || equal(a,u) -> equal(union(u,a),a)**. % 299.97/300.33 96047[16:Rew:55080.0,95530.1,29204.0,95530.1] || equal(a,u) -> equal(union(a,u),a)**. % 299.97/300.33 96081[16:MRR:96080.2,55029.0] || equal(a,u) subset(universal_set,powerset(u))* -> . % 299.97/300.33 96183[0:MRR:96150.0,96150.1,85.1,83.1] || equal(u,v)* -> single_valued_set(singleton_set(v))* ordered_pair_predicate(u)*. % 299.97/300.33 96234[16:Res:92031.1,88373.0] || equal(complement(singleton_set(u)),a)** -> subset(u,v)*. % 299.97/300.33 96290[16:Res:58841.1,92502.1] || equal(successor(u),a) -> member(a,complement(u))*. % 299.97/300.33 96351[16:Res:33376.1,92502.1] || member(universal_set,powerset(u))* equal(a,u) -> . % 299.97/300.33 96358[16:Res:57719.1,92502.1] || equal(a,u) -> equal(restrict(u,v),a)**. % 299.97/300.33 96394[16:Res:55151.1,92502.1] || equal(a,u) -> equal(cross_product(v,u),a)**. % 299.97/300.33 96465[16:Res:55152.1,92502.1] || equal(a,u) -> equal(cross_product(u,v),a)**. % 299.97/300.33 97558[0:Obv:97513.0] || -> subset(singleton_set(u),complement(powerset(v)))* subset(u,v). % 299.97/300.33 98264[16:MRR:98246.2,92057.0] || equal(u,a) disjoint(set_b,singleton_set(u))* -> . % 299.97/300.33 98314[0:Obv:98280.0] || -> subset(powerset(u),complement(singleton_set(v)))* subset(v,u). % 299.97/300.33 98315[0:Obv:98281.0] || -> subset(singleton_set(u),complement(singleton_set(v)))* equal(v,u). % 299.97/300.33 98316[16:Obv:98288.0] || -> subset(powerset(a),complement(singleton_set(u)))* equal(u,a). % 299.97/300.33 98569[0:Obv:98543.1] || disjoint(u,v) -> disjoint(v,complement(complement(u)))*. % 299.97/300.33 98572[0:Obv:98479.0] || -> member(u,v) disjoint(singleton_set(u),complement(complement(v)))*. % 299.97/300.33 98573[16:Obv:98480.0] || -> member(a,u) disjoint(powerset(a),complement(complement(u)))*. % 299.97/300.33 98592[16:SpR:57402.0,98450.0] || -> subset(complement(union(u,a)),intersection(complement(u),universal_set))*. % 299.97/300.33 98593[16:SpR:57520.0,98450.0] || -> subset(complement(union(a,u)),intersection(universal_set,complement(u)))*. % 299.97/300.33 98600[0:Res:98450.0,14041.0] || disjoint(u,v) -> disjoint(complement(complement(u)),v)*. % 299.97/300.33 98762[16:Obv:98669.0] || -> member(a,u) disjoint(complement(complement(u)),powerset(a))*. % 299.97/300.33 98763[0:Obv:98672.0] || -> member(u,v) disjoint(complement(complement(v)),singleton_set(u))*. % 299.97/300.33 98898[16:Res:98596.1,23514.0] || equal(complement(u),a) -> equal(successor(u),universal_set)**. % 299.97/300.33 99089[16:Res:98785.1,1238.0] || disjoint(set_b,u) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 99093[16:Res:98785.1,55636.1] || disjoint(set_b,u) disjoint(universal_set,complement(u))* -> . % 299.97/300.33 99094[16:Res:98785.1,54995.0] || disjoint(set_b,u) disjoint(complement(u),set_b)* -> . % 299.97/300.33 99095[16:Res:98785.1,54989.0] || disjoint(set_b,u) disjoint(complement(u),infinity)* -> . % 299.97/300.33 99096[16:Res:98785.1,1197.0] || disjoint(set_b,u) disjoint(complement(u),set_a)* -> . % 299.97/300.33 99097[16:Res:98785.1,92502.1] || disjoint(set_b,u)* equal(complement(u),a) -> . % 299.97/300.33 99107[16:Res:55181.1,98786.1] || subset(infinity,u) disjoint(set_b,sigma(u))* -> . % 299.97/300.33 99108[16:Res:55180.1,98786.1] || subset(universal_set,u) disjoint(set_b,sigma(u))* -> . % 299.97/300.33 99109[16:Res:55009.1,98786.1] || member(set_b,u) disjoint(set_b,sigma(u))* -> . % 299.97/300.33 99110[16:Res:55007.1,98786.1] || member(infinity,u) disjoint(set_b,sigma(u))* -> . % 299.97/300.33 99111[16:Res:1134.1,98786.1] || member(set_a,u) disjoint(set_b,sigma(u))* -> . % 299.97/300.33 99112[16:Res:98785.1,98786.1] || disjoint(set_b,u) disjoint(set_b,complement(u))* -> . % 299.97/300.33 99121[16:Res:57343.1,98786.1] || disjoint(universal_set,u) disjoint(set_b,complement(u))* -> . % 299.97/300.33 99122[16:Res:57341.1,98786.1] || disjoint(u,infinity) disjoint(set_b,complement(u))* -> . % 299.97/300.33 99123[16:Res:55020.1,98786.1] || disjoint(u,set_b) disjoint(set_b,complement(u))* -> . % 299.97/300.33 99125[16:Res:13992.1,98786.1] || disjoint(u,set_a) disjoint(set_b,complement(u))* -> . % 299.97/300.33 99126[16:Res:88372.1,98786.1] || disjoint(set_b,complement(singleton_set(u)))* -> subset(u,v)*. % 299.97/300.33 99127[16:Res:83494.1,98786.1] || disjoint(set_b,complement(singleton_set(u)))* -> equal(u,a). % 299.97/300.33 99159[16:Res:58841.1,98786.1] || disjoint(set_b,successor(u)) -> member(a,complement(u))*. % 299.97/300.33 99160[16:Res:58835.1,98786.1] || equal(a,u) disjoint(set_b,successor(u))* -> . % 299.97/300.33 99208[16:Res:57629.0,98786.1] || disjoint(set_b,sigma(complement(apply_to_two_arguments(u,universal_set,v))))* -> . % 299.97/300.33 99883[2:Res:22612.2,6742.0] ordered_pair_predicate(u) || member(first(u),f3(u))* -> . % 299.97/300.33 100119[16:Res:98305.0,92024.1] || equal(complement(singleton_set(u)),a)** -> member(u,infinity). % 299.97/300.33 100120[7:Res:98305.0,90204.0] || disjoint(complement(singleton_set(u)),universal_set)* -> member(u,infinity). % 299.97/300.33 100121[16:Res:98305.0,70291.0] || disjoint(complement(singleton_set(u)),set_a)* -> member(u,infinity). % 299.97/300.33 100122[15:Res:98305.0,67381.0] || disjoint(complement(singleton_set(u)),set_b)* -> member(u,infinity). % 299.97/300.33 100123[16:Res:98305.0,57315.0] || subset(complement(singleton_set(u)),a)* -> member(u,infinity). % 299.97/300.33 100125[8:Res:98305.0,22220.0] || disjoint(universal_set,complement(singleton_set(u)))* -> member(u,infinity). % 299.97/300.33 100126[2:Res:98305.0,14527.0] || disjoint(complement(singleton_set(u)),infinity)* -> member(u,infinity). % 299.97/300.33 100127[10:Res:98305.0,90198.0] || disjoint(complement(singleton_set(u)),universal_set)* -> member(u,set_a). % 299.97/300.33 100128[16:Res:98305.0,70951.0] || disjoint(universal_set,complement(singleton_set(u)))* -> member(u,set_a). % 299.97/300.33 100129[16:Res:98305.0,70698.0] || disjoint(complement(singleton_set(u)),infinity)* -> member(u,set_a). % 299.97/300.33 100130[16:Res:98305.0,70377.0] || disjoint(complement(singleton_set(u)),set_b)* -> member(u,set_a). % 299.97/300.33 100131[0:Res:98305.0,14600.0] || disjoint(complement(singleton_set(u)),set_a)* -> member(u,set_a). % 299.97/300.33 100133[9:Res:98305.0,90200.0] || disjoint(complement(singleton_set(u)),universal_set)* -> member(u,set_b). % 299.97/300.33 100134[16:Res:98305.0,70936.0] || disjoint(universal_set,complement(singleton_set(u)))* -> member(u,set_b). % 299.97/300.33 100135[16:Res:98305.0,70607.0] || disjoint(complement(singleton_set(u)),infinity)* -> member(u,set_b). % 299.97/300.33 100136[16:Res:98305.0,70306.0] || disjoint(complement(singleton_set(u)),set_a)* -> member(u,set_b). % 299.97/300.33 100138[0:Res:98305.0,14665.0] || disjoint(complement(singleton_set(u)),set_b)* -> member(u,set_b). % 299.97/300.33 100146[16:Res:98305.0,55640.0] || -> member(u,sigma(infinity)) member(a,complement(singleton_set(u)))*. % 299.97/300.33 100149[16:Res:98305.0,96455.0] || equal(complement(singleton_set(u)),a)** -> member(u,f25). % 299.97/300.33 100150[7:Res:98305.0,18328.0] || disjoint(complement(singleton_set(u)),universal_set)* -> member(u,f25). % 299.97/300.33 100154[16:Res:98305.0,58831.0] || -> member(u,singleton_set(a)) member(a,complement(singleton_set(u)))*. % 299.97/300.33 100155[3:Res:98305.0,88259.0] || -> member(u,singleton_set(infinity)) member(infinity,complement(singleton_set(u)))*. % 299.97/300.33 100159[16:Res:98305.0,58832.0] || -> member(u,successor(a)) member(a,complement(singleton_set(u)))*. % 299.97/300.33 100185[7:Res:98305.0,34391.1] || subset(universal_set,powerset(singleton_set(u)))* -> member(u,infinity). % 299.97/300.33 100240[16:Res:100124.1,98786.1] || disjoint(set_b,complement(singleton_set(u)))* -> member(u,infinity). % 299.97/300.33 100330[16:Res:100132.1,98786.1] || disjoint(set_b,complement(singleton_set(u)))* -> member(u,set_a). % 299.97/300.33 100335[16:Res:100132.1,92502.1] || equal(complement(singleton_set(u)),a)** -> member(u,set_a). % 299.97/300.33 100359[16:Res:100137.1,98786.1] || disjoint(set_b,complement(singleton_set(u)))* -> member(u,set_b). % 299.97/300.33 100364[16:Res:100137.1,92502.1] || equal(complement(singleton_set(u)),a)** -> member(u,set_b). % 299.97/300.33 100450[16:MRR:100449.1,55131.0] || subset(universal_set,powerset(singleton_set(u)))* -> equal(a,u). % 299.97/300.33 100724[16:MRR:100706.2,92057.0] || equal(u,a) disjoint(set_a,singleton_set(u))* -> . % 299.97/300.33 101282[16:Res:101071.1,1238.0] || disjoint(set_a,u) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 101286[16:Res:101071.1,98786.1] || disjoint(set_a,u) disjoint(set_b,complement(u))* -> . % 299.97/300.33 101287[16:Res:101071.1,55636.1] || disjoint(set_a,u) disjoint(universal_set,complement(u))* -> . % 299.97/300.33 101288[16:Res:101071.1,54995.0] || disjoint(set_a,u) disjoint(complement(u),set_b)* -> . % 299.97/300.33 101289[16:Res:101071.1,54989.0] || disjoint(set_a,u) disjoint(complement(u),infinity)* -> . % 299.97/300.33 101290[16:Res:101071.1,1197.0] || disjoint(set_a,u) disjoint(complement(u),set_a)* -> . % 299.97/300.33 101291[16:Res:101071.1,92502.1] || disjoint(set_a,u)* equal(complement(u),a) -> . % 299.97/300.33 101384[16:Res:55181.1,101072.1] || subset(infinity,u) disjoint(set_a,sigma(u))* -> . % 299.97/300.33 101385[16:Res:55180.1,101072.1] || subset(universal_set,u) disjoint(set_a,sigma(u))* -> . % 299.97/300.33 101386[16:Res:55009.1,101072.1] || member(set_b,u) disjoint(set_a,sigma(u))* -> . % 299.97/300.33 101387[16:Res:55007.1,101072.1] || member(infinity,u) disjoint(set_a,sigma(u))* -> . % 299.97/300.33 101388[16:Res:1134.1,101072.1] || member(set_a,u) disjoint(set_a,sigma(u))* -> . % 299.97/300.33 101389[16:Res:101071.1,101072.1] || disjoint(set_a,u) disjoint(set_a,complement(u))* -> . % 299.97/300.33 101390[16:Res:98785.1,101072.1] || disjoint(set_b,u) disjoint(set_a,complement(u))* -> . % 299.97/300.33 101399[16:Res:57343.1,101072.1] || disjoint(universal_set,u) disjoint(set_a,complement(u))* -> . % 299.97/300.33 101400[16:Res:57341.1,101072.1] || disjoint(u,infinity) disjoint(set_a,complement(u))* -> . % 299.97/300.33 101401[16:Res:55020.1,101072.1] || disjoint(u,set_b) disjoint(set_a,complement(u))* -> . % 299.97/300.33 101403[16:Res:13992.1,101072.1] || disjoint(u,set_a) disjoint(set_a,complement(u))* -> . % 299.97/300.33 101404[16:Res:100137.1,101072.1] || disjoint(set_a,complement(singleton_set(u)))* -> member(u,set_b). % 299.97/300.33 101405[16:Res:100132.1,101072.1] || disjoint(set_a,complement(singleton_set(u)))* -> member(u,set_a). % 299.97/300.33 101406[16:Res:100124.1,101072.1] || disjoint(set_a,complement(singleton_set(u)))* -> member(u,infinity). % 299.97/300.33 101407[16:Res:88372.1,101072.1] || disjoint(set_a,complement(singleton_set(u)))* -> subset(u,v)*. % 299.97/300.33 101408[16:Res:83494.1,101072.1] || disjoint(set_a,complement(singleton_set(u)))* -> equal(u,a). % 299.97/300.33 101440[16:Res:58841.1,101072.1] || disjoint(set_a,successor(u)) -> member(a,complement(u))*. % 299.97/300.33 101441[16:Res:58835.1,101072.1] || equal(a,u) disjoint(set_a,successor(u))* -> . % 299.97/300.33 101490[16:Res:57629.0,101072.1] || disjoint(set_a,sigma(complement(apply_to_two_arguments(u,universal_set,v))))* -> . % 299.97/300.33 102122[16:Obv:102111.0] || -> disjoint(cross_product(u,v),powerset(a))* ordered_pair_predicate(second(a)). % 299.97/300.33 102123[3:Obv:102114.0] || -> disjoint(cross_product(u,v),singleton_set(w))* ordered_pair_predicate(second(w)). % 299.97/300.33 102197[16:Obv:102186.0] || -> disjoint(cross_product(u,v),powerset(a))* little_set(second(a)). % 299.97/300.33 102198[0:Obv:102189.0] || -> disjoint(cross_product(u,v),singleton_set(w))* little_set(second(w)). % 299.97/300.33 102237[16:MRR:102219.2,92057.0] || equal(u,a) disjoint(infinity,singleton_set(u))* -> . % 299.97/300.33 102261[3:Obv:102250.0] || -> disjoint(singleton_set(u),cross_product(v,w))* ordered_pair_predicate(second(u)). % 299.97/300.33 102262[16:Obv:102251.0] || -> disjoint(powerset(a),cross_product(u,v))* ordered_pair_predicate(second(a)). % 299.97/300.33 102314[0:Obv:102303.0] || -> disjoint(singleton_set(u),cross_product(v,w))* little_set(second(u)). % 299.97/300.33 102315[16:Obv:102304.0] || -> disjoint(powerset(a),cross_product(u,v))* little_set(second(a)). % 299.97/300.33 102343[16:Obv:102332.0] || -> disjoint(cross_product(u,v),powerset(a))* ordered_pair_predicate(first(a)). % 299.97/300.33 102344[3:Obv:102335.0] || -> disjoint(cross_product(u,v),singleton_set(w))* ordered_pair_predicate(first(w)). % 299.97/300.33 102471[16:Obv:102460.0] || -> disjoint(cross_product(u,v),powerset(a))* little_set(first(a)). % 299.97/300.33 102472[0:Obv:102463.0] || -> disjoint(cross_product(u,v),singleton_set(w))* little_set(first(w)). % 299.97/300.33 102499[16:Res:102358.1,1238.0] || disjoint(infinity,u) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 102503[16:Res:102358.1,101072.1] || disjoint(infinity,u) disjoint(set_a,complement(u))* -> . % 299.97/300.33 102504[16:Res:102358.1,98786.1] || disjoint(infinity,u) disjoint(set_b,complement(u))* -> . % 299.97/300.33 102505[16:Res:102358.1,55636.1] || disjoint(infinity,u) disjoint(universal_set,complement(u))* -> . % 299.97/300.33 102506[16:Res:102358.1,54995.0] || disjoint(infinity,u) disjoint(complement(u),set_b)* -> . % 299.97/300.33 102507[16:Res:102358.1,54989.0] || disjoint(infinity,u) disjoint(complement(u),infinity)* -> . % 299.97/300.33 102508[16:Res:102358.1,1197.0] || disjoint(infinity,u) disjoint(complement(u),set_a)* -> . % 299.97/300.33 102509[16:Res:102358.1,92502.1] || disjoint(infinity,u)* equal(complement(u),a) -> . % 299.97/300.33 102514[16:Res:55181.1,102359.1] || subset(infinity,u) disjoint(infinity,sigma(u))* -> . % 299.97/300.33 102515[16:Res:55180.1,102359.1] || subset(universal_set,u) disjoint(infinity,sigma(u))* -> . % 299.97/300.33 102516[16:Res:55009.1,102359.1] || member(set_b,u) disjoint(infinity,sigma(u))* -> . % 299.97/300.33 102517[16:Res:55007.1,102359.1] || member(infinity,u) disjoint(infinity,sigma(u))* -> . % 299.97/300.33 102518[16:Res:1134.1,102359.1] || member(set_a,u) disjoint(infinity,sigma(u))* -> . % 299.97/300.33 102519[16:Res:102358.1,102359.1] || disjoint(infinity,u) disjoint(infinity,complement(u))* -> . % 299.97/300.33 102520[16:Res:101071.1,102359.1] || disjoint(set_a,u) disjoint(infinity,complement(u))* -> . % 299.97/300.33 102521[16:Res:98785.1,102359.1] || disjoint(set_b,u) disjoint(infinity,complement(u))* -> . % 299.97/300.33 102530[16:Res:57343.1,102359.1] || disjoint(universal_set,u) disjoint(infinity,complement(u))* -> . % 299.97/300.33 102531[16:Res:57341.1,102359.1] || disjoint(u,infinity) disjoint(infinity,complement(u))* -> . % 299.97/300.33 102532[16:Res:55020.1,102359.1] || disjoint(u,set_b) disjoint(infinity,complement(u))* -> . % 299.97/300.33 102534[16:Res:13992.1,102359.1] || disjoint(u,set_a) disjoint(infinity,complement(u))* -> . % 299.97/300.33 102535[16:Res:100137.1,102359.1] || disjoint(infinity,complement(singleton_set(u)))* -> member(u,set_b). % 299.97/300.33 102536[16:Res:100132.1,102359.1] || disjoint(infinity,complement(singleton_set(u)))* -> member(u,set_a). % 299.97/300.33 102537[16:Res:100124.1,102359.1] || disjoint(infinity,complement(singleton_set(u)))* -> member(u,infinity). % 299.97/300.33 102538[16:Res:88372.1,102359.1] || disjoint(infinity,complement(singleton_set(u)))* -> subset(u,v)*. % 299.97/300.33 102539[16:Res:83494.1,102359.1] || disjoint(infinity,complement(singleton_set(u)))* -> equal(u,a). % 299.97/300.33 102571[16:Res:58841.1,102359.1] || disjoint(infinity,successor(u)) -> member(a,complement(u))*. % 299.97/300.33 102572[16:Res:58835.1,102359.1] || equal(a,u) disjoint(infinity,successor(u))* -> . % 299.97/300.33 102621[16:Res:57629.0,102359.1] || disjoint(infinity,sigma(complement(apply_to_two_arguments(u,universal_set,v))))* -> . % 299.97/300.33 102689[3:Obv:102678.0] || -> disjoint(singleton_set(u),cross_product(v,w))* ordered_pair_predicate(first(u)). % 299.97/300.33 102690[16:Obv:102679.0] || -> disjoint(powerset(a),cross_product(u,v))* ordered_pair_predicate(first(a)). % 299.97/300.33 102752[0:Obv:102741.0] || -> disjoint(singleton_set(u),cross_product(v,w))* little_set(first(u)). % 299.97/300.33 102753[16:Obv:102742.0] || -> disjoint(powerset(a),cross_product(u,v))* little_set(first(a)). % 299.97/300.33 103107[3:Res:82575.0,88257.1] || member(infinity,singleton_set(u))* -> member(u,singleton_set(infinity))*. % 299.97/300.33 103138[16:MRR:103127.1,96484.1] || member(u,v) -> disjoint(u,f24(sigma(v)))*. % 299.97/300.33 103236[3:SSi:103208.0,150.0,63.0,15957.0] || -> member(singleton_set(infinity),u) member(infinity,sigma(complement(u)))*. % 299.97/300.33 103269[3:Res:88325.1,10964.0] || disjoint(complement(u),singleton_set(infinity))* -> member(infinity,u). % 299.97/300.33 103296[16:Res:88503.0,34.1] || member(a,singleton_set(complement(u)))* -> member(infinity,u). % 299.97/300.33 103328[16:Res:88615.0,34.1] || member(a,singleton_set(u)) -> member(infinity,complement(u))*. % 299.97/300.33 103459[16:MRR:103448.1,96485.1] || member(u,v) -> disjoint(f24(sigma(v)),u)*. % 299.97/300.33 10951[6:SpL:134.1,10905.0] || member(u,compose(v,w))* equal(u,universal_set) -> . % 299.97/300.33 11012[2:Res:38.1,10966.0] || member(u,domain_of(v)) -> member(f8(u,v),universal_set)*. % 299.97/300.33 11013[2:Res:66.1,10966.0] || member(u,sigma(v)) -> member(f16(u,v),universal_set)*. % 299.97/300.33 11014[2:Res:107.1,10966.0] || member(u,range_of(v)) -> member(f27(u,v),universal_set)*. % 299.97/300.33 11589[6:SpL:13.0,10932.0] || equal(f1(ordered_pair(u,v),universal_set),non_ordered_pair(u,v))** -> . % 299.97/300.33 13083[0:Res:9144.0,1240.2] || subset(u,v) member(u,complement(powerset(v)))* -> . % 299.97/300.33 17694[2:Rew:122.0,17691.0] || member(u,converse(apply_to_two_arguments(v,second(u),first(u))))* -> . % 299.97/300.33 20375[0:Res:1151.2,20268.0] || member(u,v)* disjoint(v,v)* -> single_valued_set(u). % 299.97/300.33 26180[2:SpL:113.0,26103.0] || member(cross_product(u,universal_set),image(restrict(v,u),w))* -> . % 299.97/300.33 34865[6:SpL:13.0,34849.0] || equal(f1(universal_set,ordered_pair(u,v)),non_ordered_pair(u,v))** -> . % 299.97/300.33 55332[16:Rew:54986.0,48205.1] || subset(universal_set,range_of(cross_product(u,v)))* -> member(a,v). % 299.97/300.33 55333[16:Rew:54986.0,48203.1] || subset(complement(complement(powerset(u))),v)* -> member(a,v). % 299.97/300.33 55334[16:Rew:54986.0,48202.1] || disjoint(complement(intersection(u,v)),universal_set)* -> member(a,v). % 299.97/300.33 55335[16:Rew:54986.0,48201.1] || disjoint(complement(intersection(u,v)),infinity)* -> member(a,v). % 299.97/300.33 55336[16:Rew:54986.0,48199.1] || disjoint(universal_set,complement(intersection(u,v)))* -> member(a,v). % 299.97/300.33 55399[16:Rew:54986.0,48518.1] || member(ordered_pair(universal_set,u),v)* -> member(a,sigma(v)). % 299.97/300.33 58887[16:Rew:54986.0,55517.1] || -> equal(singleton_set(u),a) equal(u,a) ordered_pair_predicate(f26(u))*. % 299.97/300.33 55518[16:Rew:54986.0,48088.0] || -> equal(singleton_set(u),a) member(ordered_pair(singleton_set(u),u),f25)*. % 299.97/300.33 55521[16:Rew:54986.0,48080.0] || -> equal(singleton_set(u),a) member(ordered_pair(singleton_set(u),u),universal_set)*. % 299.97/300.33 58890[16:Rew:54986.0,55522.1] || equal(singleton_set(u),a) -> member(a,ordered_pair(u,v))*. % 299.97/300.33 55581[16:Rew:54986.0,47963.1] || subset(universal_set,domain_of(cross_product(u,v)))* -> member(a,u). % 299.97/300.33 55586[16:Rew:54986.0,47945.1] || disjoint(complement(intersection(u,v)),universal_set)* -> member(a,u). % 299.97/300.33 55587[16:Rew:54986.0,47944.1] || disjoint(complement(intersection(u,v)),infinity)* -> member(a,u). % 299.97/300.33 55588[16:Rew:54986.0,47941.1] || disjoint(complement(restrict(u,v)),universal_set)* -> member(a,u). % 299.97/300.33 55589[16:Rew:54986.0,47940.1] || disjoint(complement(restrict(u,v)),infinity)* -> member(a,u). % 299.97/300.33 55590[16:Rew:54986.0,47939.1] || disjoint(universal_set,complement(intersection(u,v)))* -> member(a,u). % 299.97/300.33 55591[16:Rew:54986.0,47938.1] || disjoint(universal_set,complement(restrict(u,v)))* -> member(a,u). % 299.97/300.33 55592[16:Rew:54986.0,47937.0] || member(a,u) disjoint(u,ordered_pair(universal_set,v))* -> . % 299.97/300.33 58893[16:Rew:54986.0,55649.1] || -> member(second(a),u) member(a,complement(cross_product(v,u)))*. % 299.97/300.33 55657[16:Rew:54986.0,48554.1] || subset(universal_set,cross_product(u,v))* -> member(second(a),v). % 299.97/300.33 58894[16:Rew:54986.0,55658.0] || -> disjoint(cross_product(u,v),powerset(a))* member(second(a),v). % 299.97/300.33 58895[16:Rew:54986.0,55659.0] || -> disjoint(powerset(a),cross_product(u,v))* member(second(a),v). % 299.97/300.33 55679[16:Rew:54986.0,48553.1] || subset(universal_set,cross_product(u,v))* -> member(first(a),u). % 299.97/300.33 58896[16:Rew:54986.0,55680.1] || -> member(first(a),u) member(a,complement(cross_product(u,v)))*. % 299.97/300.33 58897[16:Rew:54986.0,55681.0] || -> disjoint(cross_product(u,v),powerset(a))* member(first(a),u). % 299.97/300.33 58898[16:Rew:54986.0,55682.0] || -> disjoint(powerset(a),cross_product(u,v))* member(first(a),u). % 299.97/300.33 56190[16:Rew:54986.0,48944.1] || subset(u,image(f24(u),v))* -> equal(u,a). % 299.97/300.33 56191[16:Rew:54986.0,48940.1] || subset(u,apply(v,f24(u)))* -> equal(u,a). % 299.97/300.33 56192[16:Rew:54986.0,47904.1] little_set(u) || -> equal(u,a) member(f26(u),universal_set)*. % 299.97/300.33 58903[16:Rew:54986.0,56227.1] || equal(a,u) -> subset(powerset(a),non_ordered_pair(v,u))*. % 299.97/300.33 58905[16:Rew:54986.0,56229.1] || equal(a,u) -> subset(powerset(a),non_ordered_pair(u,v))*. % 299.97/300.33 56239[16:Rew:54986.0,48110.0] || equal(a,u) disjoint(universal_set,non_ordered_pair(u,v))* -> . % 299.97/300.33 56240[16:Rew:54986.0,48109.0] || equal(a,u) disjoint(universal_set,non_ordered_pair(v,u))* -> . % 299.97/300.33 56241[16:Rew:54986.0,48108.0] || equal(a,u) disjoint(non_ordered_pair(v,u),universal_set)* -> . % 299.97/300.33 56242[16:Rew:54986.0,48107.0] || equal(a,u) disjoint(non_ordered_pair(u,v),universal_set)* -> . % 299.97/300.33 56360[16:Rew:54986.0,48308.1] || subset(universal_set,intersection(u,v))* -> member(singleton_set(a),u). % 299.97/300.33 56361[16:Rew:54986.0,48307.1] || subset(universal_set,restrict(u,v))* -> member(singleton_set(a),u). % 299.97/300.33 56447[16:Rew:54986.0,48373.1] || subset(universal_set,intersection(u,v))* -> member(singleton_set(a),v). % 299.97/300.33 56720[16:Rew:54986.0,48404.1] || subset(universal_set,intersection(u,v))* -> member(powerset(a),u). % 299.97/300.33 56721[16:Rew:54986.0,48403.1] || subset(universal_set,restrict(u,v))* -> member(powerset(a),u). % 299.97/300.33 56722[16:Rew:54986.0,48402.1] || disjoint(complement(u),complement(u))* -> member(powerset(a),u). % 299.97/300.33 56786[16:Rew:54986.0,48449.1] || subset(universal_set,intersection(u,v))* -> member(powerset(a),v). % 299.97/300.33 57331[16:Rew:54986.0,48502.1] || disjoint(union(u,v),universal_set)* -> member(a,complement(u)). % 299.97/300.33 57332[16:Rew:54986.0,48501.1] || disjoint(union(u,v),infinity)* -> member(a,complement(u)). % 299.97/300.33 57333[16:Rew:54986.0,48500.1] || disjoint(universal_set,union(u,v))* -> member(a,complement(u)). % 299.97/300.33 57334[16:Rew:54986.0,48499.1] || disjoint(u,ordered_pair(universal_set,v))* -> member(a,complement(u)). % 299.97/300.33 57397[16:Rew:54986.0,48094.1] || equal(u,universal_set) -> equal(union(u,a),successor(u))**. % 299.97/300.33 57403[16:Rew:54986.0,48100.0] || -> disjoint(intersection(intersection(complement(u),universal_set),v),union(u,a))*. % 299.97/300.33 57404[16:Rew:54986.0,48101.0] || -> disjoint(restrict(intersection(complement(u),universal_set),v),union(u,a))*. % 299.97/300.33 57405[16:Rew:54986.0,48102.0] || -> disjoint(union(u,a),intersection(intersection(complement(u),universal_set),v))*. % 299.97/300.33 57406[16:Rew:54986.0,48103.0] || -> disjoint(union(u,a),restrict(intersection(complement(u),universal_set),v))*. % 299.97/300.33 57407[16:Rew:54986.0,48104.0] || -> disjoint(union(u,a),intersection(v,intersection(complement(u),universal_set)))*. % 299.97/300.33 57509[16:Rew:54986.0,48534.0] || member(a,singleton_set(u))* disjoint(universal_set,successor(u)) -> . % 299.97/300.33 57521[16:Rew:54986.0,48194.0] || -> disjoint(intersection(intersection(universal_set,complement(u)),v),union(a,u))*. % 299.97/300.33 57522[16:Rew:54986.0,48195.0] || -> disjoint(restrict(intersection(universal_set,complement(u)),v),union(a,u))*. % 299.97/300.33 57523[16:Rew:54986.0,48196.0] || -> disjoint(union(a,u),intersection(intersection(universal_set,complement(u)),v))*. % 299.97/300.33 57524[16:Rew:54986.0,48197.0] || -> disjoint(union(a,u),restrict(intersection(universal_set,complement(u)),v))*. % 299.97/300.33 57525[16:Rew:54986.0,48198.0] || -> disjoint(union(a,u),intersection(v,intersection(universal_set,complement(u))))*. % 299.97/300.33 57632[16:Rew:54986.0,48547.1] || subset(sigma(infinity),u) subset(powerset(u),a)* -> . % 299.97/300.33 57725[16:Rew:54986.0,48527.1] || disjoint(successor(u),universal_set) -> member(a,complement(singleton_set(u)))*. % 299.97/300.33 57726[16:Rew:54986.0,48526.1] || disjoint(successor(u),infinity) -> member(a,complement(singleton_set(u)))*. % 299.97/300.33 57727[16:Rew:54986.0,48525.1] || disjoint(universal_set,successor(u)) -> member(a,complement(singleton_set(u)))*. % 299.97/300.33 57740[16:Rew:54986.0,48549.1] || equal(sigma(infinity),u) subset(singleton_set(u),a)* -> . % 299.97/300.33 57741[16:Rew:54986.0,48556.0] || -> disjoint(intersection(u,intersection(complement(v),universal_set)),union(v,a))*. % 299.97/300.33 57769[16:Rew:54986.0,48557.0] || -> disjoint(intersection(u,intersection(universal_set,complement(v))),union(a,v))*. % 299.97/300.33 57802[16:Rew:54986.0,48582.1] || -> single_valued_set(restrict(f25,u)) equal(f19(restrict(f25,u)),a)**. % 299.97/300.33 57806[16:Rew:54986.0,48586.1] || subset(powerset(u),v)* member(a,complement(v)) -> . % 299.97/300.33 57807[16:Rew:54986.0,48585.1] || disjoint(union(u,v),universal_set)* -> member(a,complement(v)). % 299.97/300.33 57808[16:Rew:54986.0,48584.1] || disjoint(union(u,v),infinity)* -> member(a,complement(v)). % 299.97/300.33 57809[16:Rew:54986.0,48583.1] || disjoint(universal_set,union(u,v))* -> member(a,complement(v)). % 299.97/300.33 57811[16:Rew:54986.0,48595.1] || subset(powerset(u),v)* -> member(a,complement(complement(v)))*. % 299.97/300.33 57813[16:Rew:54986.0,48610.0] || -> member(a,sigma(complement(range_of(cross_product(ordered_pair(universal_set,u),v)))))*. % 299.97/300.33 57814[16:Rew:54986.0,48613.0] || subset(complement(range_of(cross_product(ordered_pair(universal_set,u),v))),a)* -> . % 299.97/300.33 57817[16:Rew:54986.0,48614.1] || -> member(ordered_pair(universal_set,u),v)* member(a,sigma(complement(v))). % 299.97/300.33 57831[16:Rew:54986.0,50909.1] || member(u,v)* subset(v,a)* -> single_valued_set(u). % 299.97/300.33 57846[16:Rew:54986.0,51624.1] || disjoint(u,universal_set) -> equal(apply_to_two_arguments(u,v,w),a)**. % 299.97/300.33 67464[16:Res:55172.1,54995.0] || disjoint(universal_set,complement(u)) disjoint(sigma(u),set_b)* -> . % 299.97/300.33 67466[16:Res:55172.1,1197.0] || disjoint(universal_set,complement(u)) disjoint(sigma(u),set_a)* -> . % 299.97/300.33 67481[16:Res:55173.1,54995.0] || disjoint(complement(u),universal_set) disjoint(sigma(u),set_b)* -> . % 299.97/300.33 67483[16:Res:55173.1,1197.0] || disjoint(complement(u),universal_set) disjoint(sigma(u),set_a)* -> . % 299.97/300.33 67600[16:Res:58847.0,54995.0] || disjoint(sigma(complement(u)),set_b)* -> member(a,sigma(u)). % 299.97/300.33 67602[16:Res:58847.0,1197.0] || disjoint(sigma(complement(u)),set_a)* -> member(a,sigma(u)). % 299.97/300.33 67643[16:Res:58855.1,54995.0] || member(a,u) disjoint(complement(complement(u)),set_b)* -> . % 299.97/300.33 67645[16:Res:58855.1,1197.0] || member(a,u) disjoint(complement(complement(u)),set_a)* -> . % 299.97/300.33 67946[16:Res:58868.1,54995.0] || disjoint(complement(complement(complement(u))),set_b)* -> member(a,u). % 299.97/300.33 67948[16:Res:58868.1,1197.0] || disjoint(complement(complement(complement(u))),set_a)* -> member(a,u). % 299.97/300.33 68008[16:Res:55689.1,54995.0] || disjoint(sigma(complement(u)),set_b)* -> member(sigma(infinity),u). % 299.97/300.33 68010[16:Res:55689.1,1197.0] || disjoint(sigma(complement(u)),set_a)* -> member(sigma(infinity),u). % 299.97/300.33 68025[16:Res:58869.1,54995.0] || disjoint(sigma(complement(u)),set_b)* -> member(powerset(a),u). % 299.97/300.33 68027[16:Res:58869.1,1197.0] || disjoint(sigma(complement(u)),set_a)* -> member(powerset(a),u). % 299.97/300.33 68042[16:Res:58870.1,54995.0] || disjoint(sigma(complement(u)),set_b)* -> member(singleton_set(a),u). % 299.97/300.33 68044[16:Res:58870.1,1197.0] || disjoint(sigma(complement(u)),set_a)* -> member(singleton_set(a),u). % 299.97/300.33 68625[16:Res:58875.1,54995.0] || disjoint(u,singleton_set(a)) disjoint(complement(u),set_b)* -> . % 299.97/300.33 68627[16:Res:58875.1,1197.0] || disjoint(u,singleton_set(a)) disjoint(complement(u),set_a)* -> . % 299.97/300.33 69294[16:Res:58879.1,54995.0] || disjoint(u,successor(a)) disjoint(complement(u),set_b)* -> . % 299.97/300.33 69296[16:Res:58879.1,1197.0] || disjoint(u,successor(a)) disjoint(complement(u),set_a)* -> . % 299.97/300.33 69378[16:Res:57337.1,54995.0] || disjoint(successor(u),universal_set)* disjoint(complement(u),set_b) -> . % 299.97/300.33 69380[16:Res:57337.1,1197.0] || disjoint(successor(u),universal_set)* disjoint(complement(u),set_a) -> . % 299.97/300.33 69449[16:Res:57338.1,54995.0] || disjoint(successor(u),infinity)* disjoint(complement(u),set_b) -> . % 299.97/300.33 69451[16:Res:57338.1,1197.0] || disjoint(successor(u),infinity)* disjoint(complement(u),set_a) -> . % 299.97/300.33 69474[16:Res:57339.1,54995.0] || disjoint(universal_set,successor(u)) disjoint(complement(u),set_b)* -> . % 299.97/300.33 69476[16:Res:57339.1,1197.0] || disjoint(universal_set,successor(u)) disjoint(complement(u),set_a)* -> . % 299.97/300.33 69499[16:Res:57340.1,54995.0] || disjoint(u,sigma(infinity)) disjoint(complement(u),set_b)* -> . % 299.97/300.33 69501[16:Res:57340.1,1197.0] || disjoint(u,sigma(infinity)) disjoint(complement(u),set_a)* -> . % 299.97/300.33 69763[16:Res:58881.1,54995.0] || member(a,singleton_set(u))* disjoint(successor(u),set_b) -> . % 299.97/300.33 69765[16:Res:58881.1,1197.0] || member(a,singleton_set(u))* disjoint(successor(u),set_a) -> . % 299.97/300.33 69788[16:Res:58882.0,54995.0] || disjoint(complement(singleton_set(u)),set_b)* -> member(a,successor(u)). % 299.97/300.33 69790[16:Res:58882.0,1197.0] || disjoint(complement(singleton_set(u)),set_a)* -> member(a,successor(u)). % 299.97/300.33 70155[16:Res:57728.1,54995.0] || member(infinity,u) disjoint(sigma(sigma(u)),set_b)* -> . % 299.97/300.33 70157[16:Res:57728.1,1197.0] || member(infinity,u) disjoint(sigma(sigma(u)),set_a)* -> . % 299.97/300.33 70224[16:Res:57730.0,54995.0] || disjoint(sigma(complement(image(ordered_pair(universal_set,u),v))),set_b)* -> . % 299.97/300.33 70226[16:Res:57730.0,1197.0] || disjoint(sigma(complement(image(ordered_pair(universal_set,u),v))),set_a)* -> . % 299.97/300.33 70724[16:Res:65798.1,1238.0] || disjoint(successor(u),set_b)* disjoint(complement(u),universal_set) -> . % 299.97/300.33 70728[16:Res:65798.1,55636.1] || disjoint(successor(u),set_b)* disjoint(universal_set,complement(u)) -> . % 299.97/300.33 70729[16:Res:65798.1,54995.0] || disjoint(successor(u),set_b)* disjoint(complement(u),set_b) -> . % 299.97/300.33 70730[16:Res:65798.1,54989.0] || disjoint(successor(u),set_b)* disjoint(complement(u),infinity) -> . % 299.97/300.33 70731[16:Res:65798.1,1197.0] || disjoint(successor(u),set_b)* disjoint(complement(u),set_a) -> . % 299.97/300.33 70912[16:Res:65800.1,1238.0] || disjoint(successor(u),set_a)* disjoint(complement(u),universal_set) -> . % 299.97/300.33 70916[16:Res:65800.1,55636.1] || disjoint(successor(u),set_a)* disjoint(universal_set,complement(u)) -> . % 299.97/300.33 70917[16:Res:65800.1,54995.0] || disjoint(successor(u),set_a)* disjoint(complement(u),set_b) -> . % 299.97/300.33 70918[16:Res:65800.1,54989.0] || disjoint(successor(u),set_a)* disjoint(complement(u),infinity) -> . % 299.97/300.33 70919[16:Res:65800.1,1197.0] || disjoint(successor(u),set_a)* disjoint(complement(u),set_a) -> . % 299.97/300.33 71216[16:Res:58850.1,54995.0] || disjoint(union(u,v),set_b)* -> member(a,complement(u)). % 299.97/300.33 71218[16:Res:58850.1,1197.0] || disjoint(union(u,v),set_a)* -> member(a,complement(u)). % 299.97/300.33 71548[16:Res:58859.1,54995.0] || disjoint(complement(intersection(u,v)),set_b)* -> member(a,v). % 299.97/300.33 71550[16:Res:58859.1,1197.0] || disjoint(complement(intersection(u,v)),set_a)* -> member(a,v). % 299.97/300.33 71572[16:Res:58860.1,54995.0] || disjoint(complement(intersection(u,v)),set_b)* -> member(a,u). % 299.97/300.33 71574[16:Res:58860.1,1197.0] || disjoint(complement(intersection(u,v)),set_a)* -> member(a,u). % 299.97/300.33 71591[16:Res:58861.1,54995.0] || disjoint(complement(restrict(u,v)),set_b)* -> member(a,u). % 299.97/300.33 71593[16:Res:58861.1,1197.0] || disjoint(complement(restrict(u,v)),set_a)* -> member(a,u). % 299.97/300.33 71999[16:Res:58880.1,54995.0] || disjoint(union(u,v),set_b)* -> member(a,complement(v)). % 299.97/300.33 72001[16:Res:58880.1,1197.0] || disjoint(union(u,v),set_a)* -> member(a,complement(v)). % 299.97/300.33 75029[16:Res:65800.1,58906.1] || disjoint(successor(singleton_set(u)),set_a)* equal(a,u) -> . % 299.97/300.33 75030[16:Res:65798.1,58906.1] || disjoint(successor(singleton_set(u)),set_b)* equal(a,u) -> . % 299.97/300.33 76357[16:SpR:75898.1,122.0] || disjoint(universal_set,u) -> equal(apply_to_two_arguments(u,v,w),a)**. % 299.97/300.33 78579[16:Res:55532.1,56189.0] || -> equal(singleton_set(u),a) equal(u,a) little_set(f26(u))*. % 299.97/300.33 79823[16:Con:79822.2] || member(u,apply(v,w))* subset(v,a) -> . % 299.97/300.33 79932[16:SpR:79454.1,122.0] || subset(u,a) -> equal(apply_to_two_arguments(u,v,w),a)**. % 299.97/300.33 80447[16:Con:80446.2] || member(u,image(v,w))* subset(v,a) -> . % 299.97/300.33 81131[16:Con:81130.2] || member(u,compose(v,w))* subset(v,a) -> . % 299.97/300.33 81675[16:Con:81674.2] || member(u,image(v,w))* subset(w,a) -> . % 299.97/300.33 82314[16:Con:82313.2] || member(u,compose(v,w))* subset(w,a) -> . % 299.97/300.33 82455[0:Obv:82432.1] || equal(u,v) -> subset(singleton_set(u),non_ordered_pair(w,v))*. % 299.97/300.33 82456[0:Obv:82433.1] || equal(u,v) -> subset(singleton_set(u),non_ordered_pair(v,w))*. % 299.97/300.33 82594[0:Obv:82554.0] || -> disjoint(singleton_set(u),cross_product(v,w))* member(second(u),w). % 299.97/300.33 82595[0:Obv:82555.0] || -> disjoint(singleton_set(u),cross_product(v,w))* member(first(u),v). % 299.97/300.33 82634[8:Res:82575.0,26031.0] || disjoint(universal_set,complement(singleton_set(u)))* -> member(u,sigma(infinity)). % 299.97/300.33 82674[16:Res:82575.0,56389.0] || disjoint(universal_set,complement(singleton_set(u)))* -> member(u,singleton_set(a)). % 299.97/300.33 82682[16:Res:82575.0,57120.0] || disjoint(universal_set,complement(singleton_set(u)))* -> member(u,successor(a)). % 299.97/300.33 82742[16:Res:82637.1,55139.0] || equal(f24(complement(set_b)),a)** -> equal(complement(set_b),a). % 299.97/300.33 82895[16:Res:82638.1,55139.0] || equal(f24(complement(set_a)),a)** -> equal(complement(set_a),a). % 299.97/300.33 83223[0:Obv:83183.0] || -> disjoint(cross_product(u,v),singleton_set(w))* member(second(w),v). % 299.97/300.33 83224[0:Obv:83184.0] || -> disjoint(cross_product(u,v),singleton_set(w))* member(first(w),u). % 299.97/300.33 83301[16:Res:83265.1,56194.0] || equal(infinity,u) -> equal(u,a) ordered_pair_predicate(f26(u))*. % 299.97/300.33 83302[16:Res:83265.1,56189.0] || equal(infinity,u) -> equal(u,a) little_set(f26(u))*. % 299.97/300.33 83567[16:Res:83499.0,70.0] || subset(complement(singleton_set(powerset(u))),v)* -> member(a,v). % 299.97/300.33 83587[16:MRR:59193.1,83558.0] || subset(complement(f24(powerset(u))),v)* -> member(a,v). % 299.97/300.33 83588[16:MRR:57643.1,83558.0] || equal(powerset(u),infinity) -> subset(f26(powerset(u)),u)*. % 299.97/300.33 83609[16:MRR:59327.0,83558.0] || -> single_valued_set(f24(powerset(f25))) equal(f19(f24(powerset(f25))),a)**. % 299.97/300.33 83858[16:Res:83818.0,70.0] || subset(complement(singleton_set(singleton_set(a))),u)* -> member(a,u). % 299.97/300.33 86684[16:Res:86671.0,70.0] || subset(complement(f24(singleton_set(a))),u)* -> member(a,u). % 299.97/300.33 88501[16:Res:88372.0,56729.0] || -> member(a,complement(singleton_set(complement(u))))* member(powerset(a),u). % 299.97/300.33 88502[16:Res:88372.0,41305.0] || disjoint(universal_set,u) -> member(a,complement(singleton_set(complement(u))))*. % 299.97/300.33 88853[16:Res:88616.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(infinity)))* -> . % 299.97/300.33 88854[16:Res:88616.0,68.0] || member(complement(singleton_set(infinity)),u)* -> member(a,sigma(u)). % 299.97/300.33 88873[16:Res:88627.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(set_b)))* -> . % 299.97/300.33 88874[16:Res:88627.0,68.0] || member(complement(singleton_set(set_b)),u)* -> member(a,sigma(u)). % 299.97/300.33 88896[16:Res:88628.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(set_a)))* -> . % 299.97/300.33 88897[16:Res:88628.0,68.0] || member(complement(singleton_set(set_a)),u)* -> member(a,sigma(u)). % 299.97/300.33 88949[16:Res:88674.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(f25)))* -> . % 299.97/300.33 88950[16:Res:88674.0,68.0] || member(complement(singleton_set(f25)),u)* -> member(a,sigma(u)). % 299.97/300.33 89017[16:Res:88799.0,70.0] || subset(complement(singleton_set(sigma(infinity))),u)* -> member(a,u). % 299.97/300.33 89037[16:Res:88801.0,70.0] || subset(complement(singleton_set(successor(a))),u)* -> member(a,u). % 299.97/300.33 89578[16:Res:83578.0,56180.0] || disjoint(u,universal_set) -> equal(f1(powerset(u),a),a)**. % 299.97/300.33 89579[16:Res:83579.0,56180.0] || disjoint(u,universal_set) -> equal(f1(a,powerset(u)),a)**. % 299.97/300.33 90884[16:Rew:90184.0,58949.1] || -> equal(first(u),a) member(f1(a,first(u)),universal_set)*. % 299.97/300.33 90886[16:Rew:90184.0,58951.1] || -> equal(second(u),a) member(f1(a,second(u)),universal_set)*. % 299.97/300.33 90888[16:Rew:90184.0,58981.1] || -> equal(sigma(u),a) member(f1(a,sigma(u)),universal_set)*. % 299.97/300.33 91863[16:Res:88690.1,58915.1] || equal(singleton_set(u),a)** equal(powerset(a),u)* -> . % 299.97/300.33 91864[16:Res:88690.1,58910.1] || equal(singleton_set(u),a)** equal(singleton_set(a),u)* -> . % 299.97/300.33 91987[16:SoR:221.0,91851.1] function(u) || equal(converse(u),a)** -> one_to_one_function(u). % 299.97/300.33 92069[16:Res:91847.1,55013.1] || equal(non_ordered_pair(u,v),a)** equal(a,u) -> . % 299.97/300.33 92070[16:Res:91847.1,55016.1] || equal(non_ordered_pair(u,v),a)** equal(a,v) -> . % 299.97/300.33 92122[16:Res:91847.1,57121.1] || equal(complement(u),a) disjoint(u,successor(a))* -> . % 299.97/300.33 92123[16:Res:91847.1,56390.1] || equal(complement(u),a) disjoint(u,singleton_set(a))* -> . % 299.97/300.33 92127[16:Res:91847.1,26032.1] || equal(complement(u),a) disjoint(u,sigma(infinity))* -> . % 299.97/300.33 92134[16:Res:91847.1,55579.1] || equal(complement(complement(u)),a)** member(a,u) -> . % 299.97/300.33 92135[16:Res:91847.1,55585.0] || equal(complement(complement(complement(u))),a)** -> member(a,u). % 299.97/300.33 92154[16:Res:91847.1,16245.1] || equal(sigma(u),a) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 92155[16:Res:91847.1,16235.1] || equal(sigma(u),a) disjoint(universal_set,complement(u))* -> . % 299.97/300.33 92162[16:Res:91847.1,21549.0] || equal(successor(u),a) disjoint(universal_set,complement(u))* -> . % 299.97/300.33 92163[16:Res:91847.1,15193.0] || equal(successor(u),a) disjoint(complement(u),infinity)* -> . % 299.97/300.33 92164[16:Res:91847.1,15189.0] || equal(successor(u),a) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 92170[16:Res:91847.1,56235.0] || equal(successor(singleton_set(u)),a)** equal(a,u) -> . % 299.97/300.33 92211[16:Res:91847.1,34813.0] || equal(singleton_set(u),a)** equal(sigma(infinity),u)* -> . % 299.97/300.33 92220[16:Res:91847.1,10442.0] || equal(complement(u),a) -> equal(union(v,u),universal_set)**. % 299.97/300.33 92221[16:Res:91847.1,10413.0] || equal(complement(u),a) -> equal(union(u,v),universal_set)**. % 299.97/300.33 92223[16:Res:91847.1,21540.0] || equal(complement(u),a) disjoint(universal_set,sigma(u))* -> . % 299.97/300.33 92236[16:Res:91847.1,56693.0] || equal(complement(powerset(u)),a) -> subset(powerset(a),u)*. % 299.97/300.33 92237[16:Res:91847.1,56329.0] || equal(complement(powerset(u)),a) -> subset(singleton_set(a),u)*. % 299.97/300.33 92239[16:Res:91847.1,27129.0] || equal(complement(powerset(u)),a) -> subset(sigma(infinity),u)*. % 299.97/300.33 92243[16:Res:91847.1,27153.0] || equal(complement(image(u,cross_product(sigma(infinity),v))),a)** -> . % 299.97/300.33 92244[16:Res:91847.1,56397.0] || equal(complement(image(u,cross_product(singleton_set(a),v))),a)** -> . % 299.97/300.33 92245[16:Res:91847.1,56753.0] || equal(complement(image(u,cross_product(powerset(a),v))),a)** -> . % 299.97/300.33 92246[16:Res:91847.1,27149.0] || equal(complement(image(intersection(sigma(infinity),u),v)),a)** -> . % 299.97/300.33 92247[16:Res:91847.1,56401.0] || equal(complement(image(intersection(singleton_set(a),u),v)),a)** -> . % 299.97/300.33 92248[16:Res:91847.1,56757.0] || equal(complement(image(intersection(powerset(a),u),v)),a)** -> . % 299.97/300.33 92249[16:Res:91847.1,27150.0] || equal(complement(image(intersection(u,sigma(infinity)),v)),a)** -> . % 299.97/300.33 92250[16:Res:91847.1,56409.0] || equal(complement(image(intersection(u,singleton_set(a)),v)),a)** -> . % 299.97/300.33 92251[16:Res:91847.1,56765.0] || equal(complement(image(intersection(u,powerset(a)),v)),a)** -> . % 299.97/300.33 92252[16:Res:91847.1,27151.0] || equal(complement(image(restrict(sigma(infinity),u),v)),a)** -> . % 299.97/300.33 92253[16:Res:91847.1,56405.0] || equal(complement(image(restrict(singleton_set(a),u),v)),a)** -> . % 299.97/300.33 92254[16:Res:91847.1,56761.0] || equal(complement(image(restrict(powerset(a),u),v)),a)** -> . % 299.97/300.33 92260[16:Res:91847.1,56670.0] || equal(complement(singleton_set(u)),a)** -> equal(powerset(a),u). % 299.97/300.33 92261[16:Res:91847.1,56312.0] || equal(complement(singleton_set(u)),a)** -> equal(singleton_set(a),u). % 299.97/300.33 92262[16:Res:91847.1,27130.0] || equal(complement(singleton_set(u)),a)** -> equal(sigma(infinity),u). % 299.97/300.33 92275[16:Res:91847.1,44256.0] || equal(complement(range_of(cross_product(ordered_pair(universal_set,u),v))),a)** -> . % 299.97/300.33 92421[16:Res:91847.1,25683.1] || equal(sigma(sigma(u)),a)** member(infinity,u) -> . % 299.97/300.33 92423[16:Res:91847.1,42137.0] || equal(sigma(complement(image(ordered_pair(universal_set,u),v))),a)** -> . % 299.97/300.33 92426[16:Res:91847.1,56723.0] || equal(sigma(complement(u)),a) -> member(powerset(a),u)*. % 299.97/300.33 92427[16:Res:91847.1,56362.0] || equal(sigma(complement(u)),a) -> member(singleton_set(a),u)*. % 299.97/300.33 92428[16:Res:91847.1,55169.0] || equal(sigma(complement(u)),a) -> member(a,sigma(u))*. % 299.97/300.33 92429[16:Res:91847.1,26317.0] || equal(sigma(complement(u)),a) -> member(sigma(infinity),u)*. % 299.97/300.33 92431[16:Res:91847.1,56373.0] || equal(sigma(complement(range_of(cross_product(singleton_set(a),u)))),a)** -> . % 299.97/300.33 92557[16:Res:55181.1,19261.0] || subset(infinity,intersection(u,v))* -> member(a,sigma(u)). % 299.97/300.33 92558[16:Res:55180.1,19261.0] || subset(universal_set,intersection(u,v))* -> member(a,sigma(u)). % 299.97/300.33 92559[16:Res:55009.1,19261.0] || member(set_b,intersection(u,v))* -> member(a,sigma(u)). % 299.97/300.33 92560[16:Res:55007.1,19261.0] || member(infinity,intersection(u,v))* -> member(a,sigma(u)). % 299.97/300.33 92561[0:Res:1134.1,19261.0] || member(set_a,intersection(u,v))* -> member(a,sigma(u)). % 299.97/300.33 92759[16:Res:55181.1,19263.0] || subset(infinity,intersection(u,v))* -> member(a,sigma(v)). % 299.97/300.33 92760[16:Res:55180.1,19263.0] || subset(universal_set,intersection(u,v))* -> member(a,sigma(v)). % 299.97/300.33 92761[16:Res:55009.1,19263.0] || member(set_b,intersection(u,v))* -> member(a,sigma(v)). % 299.97/300.33 92762[16:Res:55007.1,19263.0] || member(infinity,intersection(u,v))* -> member(a,sigma(v)). % 299.97/300.33 92763[0:Res:1134.1,19263.0] || member(set_a,intersection(u,v))* -> member(a,sigma(v)). % 299.97/300.33 92978[7:Res:26333.1,26939.1] || subset(universal_set,image(u,v))* member(u,infinity) -> . % 299.97/300.33 93057[16:MRR:93013.2,55129.0] || subset(universal_set,powerset(u))* disjoint(u,sigma(infinity)) -> . % 299.97/300.33 93058[16:MRR:93015.2,55131.0] || subset(universal_set,powerset(u))* disjoint(u,singleton_set(a)) -> . % 299.97/300.33 93060[16:MRR:93039.2,83558.0] || equal(a,u) disjoint(singleton_set(u),powerset(a))* -> . % 299.97/300.33 93061[16:MRR:93042.2,83558.0] || subset(universal_set,powerset(u))* disjoint(u,powerset(a)) -> . % 299.97/300.33 93161[16:Res:57134.0,57678.0] || -> equal(intersection(successor(a),intersection(universal_set,complement(singleton_set(a)))),a)**. % 299.97/300.33 93247[16:SpR:57402.0,93157.0] || -> equal(intersection(union(u,a),intersection(complement(u),universal_set)),a)**. % 299.97/300.33 93248[16:SpR:57520.0,93157.0] || -> equal(intersection(union(a,u),intersection(universal_set,complement(u))),a)**. % 299.97/300.33 93380[16:SpR:57402.0,93295.0] || -> equal(union(union(u,a),intersection(complement(u),universal_set)),universal_set)**. % 299.97/300.33 93381[16:SpR:57520.0,93295.0] || -> equal(union(union(a,u),intersection(universal_set,complement(u))),universal_set)**. % 299.97/300.33 93796[16:Res:91848.1,23069.1] || equal(successor(sigma(u)),a)** member(infinity,u) -> . % 299.97/300.33 93806[16:Res:91848.1,15936.1] || equal(non_ordered_pair(u,v),a)** equal(infinity,u) -> . % 299.97/300.33 93807[16:Res:91848.1,15937.1] || equal(non_ordered_pair(u,v),a)** equal(infinity,v) -> . % 299.97/300.33 93944[16:Res:57130.0,57709.0] || -> equal(intersection(intersection(universal_set,complement(singleton_set(a))),successor(a)),a)**. % 299.97/300.33 94029[16:SpR:57402.0,93945.0] || -> equal(intersection(intersection(complement(u),universal_set),union(u,a)),a)**. % 299.97/300.33 94030[16:SpR:57520.0,93945.0] || -> equal(intersection(intersection(universal_set,complement(u)),union(a,u)),a)**. % 299.97/300.33 94161[16:SpR:57402.0,94080.0] || -> equal(union(intersection(complement(u),universal_set),union(u,a)),universal_set)**. % 299.97/300.33 94162[16:SpR:57520.0,94080.0] || -> equal(union(intersection(universal_set,complement(u)),union(a,u)),universal_set)**. % 299.97/300.33 94450[16:Res:83578.0,14041.0] || disjoint(u,v) -> disjoint(f1(powerset(u),a),v)*. % 299.97/300.33 94451[16:Res:83579.0,14041.0] || disjoint(u,v) -> disjoint(f1(a,powerset(u)),v)*. % 299.97/300.33 94488[16:Res:56656.0,14041.0] || disjoint(ordered_pair(universal_set,u),v)* -> disjoint(powerset(a),v). % 299.97/300.33 94780[16:Res:83578.0,14151.0] || disjoint(u,v) -> disjoint(v,f1(powerset(u),a))*. % 299.97/300.33 94781[16:Res:83579.0,14151.0] || disjoint(u,v) -> disjoint(v,f1(a,powerset(u)))*. % 299.97/300.33 94818[16:Res:56656.0,14151.0] || disjoint(ordered_pair(universal_set,u),v)* -> disjoint(v,powerset(a)). % 299.97/300.33 94859[16:Res:91681.1,34.1] || equal(complement(complement(u)),a)** member(infinity,u) -> . % 299.97/300.33 94860[16:Res:91681.1,10964.0] || equal(complement(complement(complement(u))),a)** -> member(infinity,u). % 299.97/300.33 94867[16:Res:91681.1,31.0] || equal(complement(intersection(u,v)),a)** -> member(infinity,u). % 299.97/300.33 94868[16:Res:91681.1,32.0] || equal(complement(intersection(u,v)),a)** -> member(infinity,v). % 299.97/300.33 94870[16:Res:91681.1,15955.0] || equal(complement(sigma(powerset(u))),a)** -> member(infinity,u). % 299.97/300.33 94874[16:Res:91681.1,282.0] || equal(complement(restrict(u,v)),a)** -> member(infinity,u). % 299.97/300.33 95323[16:Con:95316.2] || member(set_a,u) -> member(a,complement(singleton_set(sigma(u))))*. % 299.97/300.33 95395[16:Res:92031.1,31.0] || equal(complement(intersection(u,v)),a)** -> member(a,u). % 299.97/300.33 95396[16:Res:92031.1,32.0] || equal(complement(intersection(u,v)),a)** -> member(a,v). % 299.97/300.33 95398[16:Res:92031.1,15955.0] || equal(complement(sigma(powerset(u))),a)** -> member(a,u). % 299.97/300.33 95402[16:Res:92031.1,282.0] || equal(complement(restrict(u,v)),a)** -> member(a,u). % 299.97/300.33 96289[16:Res:58881.1,92502.1] || member(a,singleton_set(u))* equal(successor(u),a) -> . % 299.97/300.33 96293[16:Res:58850.1,92502.1] || equal(union(u,v),a)** -> member(a,complement(u))*. % 299.97/300.33 96294[16:Res:58880.1,92502.1] || equal(union(u,v),a)** -> member(a,complement(v))*. % 299.97/300.33 96368[16:Res:94.1,92502.1] || member(u,image(v,w))* equal(a,v) -> . % 299.97/300.33 96383[16:Res:118.1,92502.1] || member(u,apply(v,w))* equal(a,v) -> . % 299.97/300.33 96408[16:Res:93.1,92502.1] || member(u,image(v,w))* equal(a,w) -> . % 299.97/300.33 96430[16:Res:135.1,92502.1] || member(u,compose(v,w))* equal(a,v) -> . % 299.97/300.33 96436[16:Res:956.2,92502.1] || subset(u,v)* equal(a,v) -> single_valued_set(u). % 299.97/300.33 96440[16:Res:136.1,92502.1] || member(u,compose(v,w))* equal(a,w) -> . % 299.97/300.33 96892[0:Res:82575.0,8187.2] little_set(u) || equal(u,v)* -> member(v,universal_set)*. % 299.97/300.33 97061[16:SSi:96965.0,159.0,991.0,55026.0] || disjoint(universal_set,converse(powerset(ordered_pair(second(a),first(a)))))* -> . % 299.97/300.33 97062[16:SSi:96966.0,159.0,991.0,55026.0] || disjoint(converse(powerset(ordered_pair(second(a),first(a)))),set_b)* -> . % 299.97/300.33 97063[16:SSi:96967.0,159.0,991.0,55026.0] || disjoint(converse(powerset(ordered_pair(second(a),first(a)))),infinity)* -> . % 299.97/300.33 97064[16:SSi:96968.0,159.0,991.0,55026.0] || disjoint(converse(powerset(ordered_pair(second(a),first(a)))),set_a)* -> . % 299.97/300.33 97065[3:SSi:96975.0,63.0,15957.0] || disjoint(universal_set,converse(powerset(ordered_pair(second(infinity),first(infinity)))))* -> . % 299.97/300.33 97224[16:Con:97217.2] || member(infinity,u) -> member(a,complement(singleton_set(sigma(u))))*. % 299.97/300.33 97286[18:Res:97269.0,70.0] || subset(complement(singleton_set(singleton_set(infinity))),u)* -> member(a,u). % 299.97/300.33 97308[16:Con:97301.2] || member(set_b,u) -> member(a,complement(singleton_set(sigma(u))))*. % 299.97/300.33 97587[16:Res:92031.1,82632.0] || equal(complement(singleton_set(u)),a) -> member(u,sigma(infinity))*. % 299.97/300.33 97802[16:Res:92031.1,82677.0] || equal(complement(singleton_set(u)),a) -> member(u,singleton_set(a))*. % 299.97/300.33 98032[16:Res:92031.1,82685.0] || equal(complement(singleton_set(u)),a) -> member(u,successor(a))*. % 299.97/300.33 98056[16:Res:98039.0,944.2] little_set(u) || subset(u,a)* -> member(u,set_b). % 299.97/300.33 98319[6:Obv:98299.1] || equal(successor(u),universal_set) -> subset(infinity,complement(singleton_set(u)))*. % 299.97/300.33 98321[0:Obv:98298.1] || member(u,v) -> subset(complement(v),complement(singleton_set(u)))*. % 299.97/300.33 98323[0:Obv:98282.0] || -> subset(intersection(u,v),complement(singleton_set(w)))* member(w,v). % 299.97/300.33 98324[0:Obv:98283.0] || -> subset(intersection(u,v),complement(singleton_set(w)))* member(w,u). % 299.97/300.33 98457[0:Obv:98366.0] || -> member(u,v) subset(complement(complement(v)),complement(singleton_set(u)))*. % 299.97/300.33 98591[0:SpR:36.0,98450.0] || -> subset(complement(union(u,v)),intersection(complement(u),complement(v)))*. % 299.97/300.33 98611[16:Res:98450.0,58999.0] || member(singleton_set(singleton_set(a)),complement(complement(cross_product(set_a,set_b))))* -> . % 299.97/300.33 98612[16:Res:98450.0,57812.0] || -> single_valued_set(complement(complement(f25))) equal(f19(complement(complement(f25))),a)**. % 299.97/300.33 98916[16:Res:98596.1,23575.0] || equal(complement(singleton_set(u)),a)** -> equal(successor(u),universal_set). % 299.97/300.33 98938[16:Res:98596.1,35299.1] || equal(complement(powerset(u)),a)** disjoint(u,infinity) -> . % 299.97/300.33 98944[16:Res:98596.1,57155.0] || equal(complement(image(ordered_pair(powerset(a),a),u)),a)** -> . % 299.97/300.33 99105[16:Res:55173.1,98786.1] || disjoint(complement(u),universal_set)* disjoint(set_b,sigma(u)) -> . % 299.97/300.33 99106[16:Res:55172.1,98786.1] || disjoint(universal_set,complement(u))* disjoint(set_b,sigma(u)) -> . % 299.97/300.33 99113[16:Res:65800.1,98786.1] || disjoint(successor(u),set_a)* disjoint(set_b,complement(u)) -> . % 299.97/300.33 99114[16:Res:65798.1,98786.1] || disjoint(successor(u),set_b)* disjoint(set_b,complement(u)) -> . % 299.97/300.33 99115[16:Res:57340.1,98786.1] || disjoint(u,sigma(infinity))* disjoint(set_b,complement(u))* -> . % 299.97/300.33 99116[16:Res:57339.1,98786.1] || disjoint(universal_set,successor(u))* disjoint(set_b,complement(u)) -> . % 299.97/300.33 99117[16:Res:57338.1,98786.1] || disjoint(successor(u),infinity)* disjoint(set_b,complement(u)) -> . % 299.97/300.33 99118[16:Res:57337.1,98786.1] || disjoint(successor(u),universal_set)* disjoint(set_b,complement(u)) -> . % 299.97/300.33 99119[16:Res:58879.1,98786.1] || disjoint(u,successor(a))* disjoint(set_b,complement(u))* -> . % 299.97/300.33 99120[16:Res:58875.1,98786.1] || disjoint(u,singleton_set(a))* disjoint(set_b,complement(u))* -> . % 299.97/300.33 99128[16:Res:58882.0,98786.1] || disjoint(set_b,complement(singleton_set(u)))* -> member(a,successor(u)). % 299.97/300.33 99145[16:Res:58855.1,98786.1] || member(a,u) disjoint(set_b,complement(complement(u)))* -> . % 299.97/300.33 99146[16:Res:58868.1,98786.1] || disjoint(set_b,complement(complement(complement(u))))* -> member(a,u). % 299.97/300.33 99147[16:Res:58859.1,98786.1] || disjoint(set_b,complement(intersection(u,v)))* -> member(a,v). % 299.97/300.33 99148[16:Res:58860.1,98786.1] || disjoint(set_b,complement(intersection(u,v)))* -> member(a,u). % 299.97/300.33 99149[16:Res:58861.1,98786.1] || disjoint(set_b,complement(restrict(u,v)))* -> member(a,u). % 299.97/300.33 99158[16:Res:58881.1,98786.1] || member(a,singleton_set(u))* disjoint(set_b,successor(u)) -> . % 299.97/300.33 99162[16:Res:58850.1,98786.1] || disjoint(set_b,union(u,v))* -> member(a,complement(u)). % 299.97/300.33 99163[16:Res:58880.1,98786.1] || disjoint(set_b,union(u,v))* -> member(a,complement(v)). % 299.97/300.33 99164[16:Res:58872.1,98786.1] || equal(a,u) disjoint(set_b,non_ordered_pair(v,u))* -> . % 299.97/300.33 99165[16:Res:58873.1,98786.1] || equal(a,u) disjoint(set_b,non_ordered_pair(u,v))* -> . % 299.97/300.33 99207[16:Res:57730.0,98786.1] || disjoint(set_b,sigma(complement(image(ordered_pair(universal_set,u),v))))* -> . % 299.97/300.33 99209[16:Res:57732.0,98786.1] || disjoint(set_b,sigma(complement(range_of(cross_product(singleton_set(a),u)))))* -> . % 299.97/300.33 99210[16:Res:58870.1,98786.1] || disjoint(set_b,sigma(complement(u)))* -> member(singleton_set(a),u). % 299.97/300.33 99211[16:Res:58869.1,98786.1] || disjoint(set_b,sigma(complement(u)))* -> member(powerset(a),u). % 299.97/300.33 99212[16:Res:55689.1,98786.1] || disjoint(set_b,sigma(complement(u)))* -> member(sigma(infinity),u). % 299.97/300.33 99213[16:Res:58847.0,98786.1] || disjoint(set_b,sigma(complement(u)))* -> member(a,sigma(u)). % 299.97/300.33 99214[16:Res:57728.1,98786.1] || member(infinity,u) disjoint(set_b,sigma(sigma(u)))* -> . % 299.97/300.33 99232[16:SSi:99223.0,159.0,991.0,55026.0] || disjoint(set_b,converse(powerset(ordered_pair(second(a),first(a)))))* -> . % 299.97/300.33 99428[16:SSi:99289.0,159.0,991.0,55026.0] || disjoint(set_b,converse(complement(u)))* -> member(a,converse(u)). % 299.97/300.33 99429[16:SSi:99290.0,159.0,991.0,55026.0] || disjoint(universal_set,converse(complement(u)))* -> member(a,converse(u)). % 299.97/300.33 99430[16:SSi:99291.0,159.0,991.0,55026.0] || disjoint(converse(complement(u)),set_b)* -> member(a,converse(u)). % 299.97/300.33 99431[16:SSi:99292.0,159.0,991.0,55026.0] || disjoint(converse(complement(u)),infinity)* -> member(a,converse(u)). % 299.97/300.33 99432[16:SSi:99293.0,159.0,991.0,55026.0] || disjoint(converse(complement(u)),set_a)* -> member(a,converse(u)). % 299.97/300.33 99433[3:SSi:99300.0,63.0,15957.0] || disjoint(universal_set,converse(complement(u)))* -> member(infinity,converse(u)). % 299.97/300.33 100175[16:Res:98305.0,55339.0] || -> member(u,ordered_pair(universal_set,v))* member(a,complement(singleton_set(u)))*. % 299.97/300.33 100523[16:MRR:100518.2,83558.0] || disjoint(set_b,sigma(u)) member(powerset(a),u)* -> . % 299.97/300.33 100574[16:Res:100557.0,944.2] little_set(u) || subset(u,a)* -> member(u,set_a). % 299.97/300.33 101094[16:MRR:101092.2,83558.0] || disjoint(set_a,sigma(u)) member(powerset(a),u)* -> . % 299.97/300.33 101382[16:Res:55173.1,101072.1] || disjoint(complement(u),universal_set)* disjoint(set_a,sigma(u)) -> . % 299.97/300.33 101383[16:Res:55172.1,101072.1] || disjoint(universal_set,complement(u))* disjoint(set_a,sigma(u)) -> . % 299.97/300.33 101391[16:Res:65800.1,101072.1] || disjoint(successor(u),set_a)* disjoint(set_a,complement(u)) -> . % 299.97/300.33 101392[16:Res:65798.1,101072.1] || disjoint(successor(u),set_b)* disjoint(set_a,complement(u)) -> . % 299.97/300.33 101393[16:Res:57340.1,101072.1] || disjoint(u,sigma(infinity))* disjoint(set_a,complement(u))* -> . % 299.97/300.33 101394[16:Res:57339.1,101072.1] || disjoint(universal_set,successor(u))* disjoint(set_a,complement(u)) -> . % 299.97/300.33 101395[16:Res:57338.1,101072.1] || disjoint(successor(u),infinity)* disjoint(set_a,complement(u)) -> . % 299.97/300.33 101396[16:Res:57337.1,101072.1] || disjoint(successor(u),universal_set)* disjoint(set_a,complement(u)) -> . % 299.97/300.33 101397[16:Res:58879.1,101072.1] || disjoint(u,successor(a))* disjoint(set_a,complement(u))* -> . % 299.97/300.33 101398[16:Res:58875.1,101072.1] || disjoint(u,singleton_set(a))* disjoint(set_a,complement(u))* -> . % 299.97/300.33 101409[16:Res:58882.0,101072.1] || disjoint(set_a,complement(singleton_set(u)))* -> member(a,successor(u)). % 299.97/300.33 101426[16:Res:58855.1,101072.1] || member(a,u) disjoint(set_a,complement(complement(u)))* -> . % 299.97/300.33 101427[16:Res:58868.1,101072.1] || disjoint(set_a,complement(complement(complement(u))))* -> member(a,u). % 299.97/300.33 101428[16:Res:58859.1,101072.1] || disjoint(set_a,complement(intersection(u,v)))* -> member(a,v). % 299.97/300.33 101429[16:Res:58860.1,101072.1] || disjoint(set_a,complement(intersection(u,v)))* -> member(a,u). % 299.97/300.33 101430[16:Res:58861.1,101072.1] || disjoint(set_a,complement(restrict(u,v)))* -> member(a,u). % 299.97/300.33 101439[16:Res:58881.1,101072.1] || member(a,singleton_set(u))* disjoint(set_a,successor(u)) -> . % 299.97/300.33 101443[16:Res:58850.1,101072.1] || disjoint(set_a,union(u,v))* -> member(a,complement(u)). % 299.97/300.33 101444[16:Res:58880.1,101072.1] || disjoint(set_a,union(u,v))* -> member(a,complement(v)). % 299.97/300.33 101445[16:Res:58872.1,101072.1] || equal(a,u) disjoint(set_a,non_ordered_pair(v,u))* -> . % 299.97/300.33 101446[16:Res:58873.1,101072.1] || equal(a,u) disjoint(set_a,non_ordered_pair(u,v))* -> . % 299.97/300.33 101489[16:Res:57730.0,101072.1] || disjoint(set_a,sigma(complement(image(ordered_pair(universal_set,u),v))))* -> . % 299.97/300.33 101491[16:Res:57732.0,101072.1] || disjoint(set_a,sigma(complement(range_of(cross_product(singleton_set(a),u)))))* -> . % 299.97/300.33 101492[16:Res:58870.1,101072.1] || disjoint(set_a,sigma(complement(u)))* -> member(singleton_set(a),u). % 299.97/300.33 101493[16:Res:58869.1,101072.1] || disjoint(set_a,sigma(complement(u)))* -> member(powerset(a),u). % 299.97/300.33 101494[16:Res:55689.1,101072.1] || disjoint(set_a,sigma(complement(u)))* -> member(sigma(infinity),u). % 299.97/300.33 101495[16:Res:58847.0,101072.1] || disjoint(set_a,sigma(complement(u)))* -> member(a,sigma(u)). % 299.97/300.33 101496[16:Res:57728.1,101072.1] || member(infinity,u) disjoint(set_a,sigma(sigma(u)))* -> . % 299.97/300.33 101516[16:SSi:101458.0,159.0,991.0,55026.0] || disjoint(set_a,converse(complement(u)))* -> member(a,converse(u)). % 299.97/300.33 101517[16:SSi:101507.0,159.0,991.0,55026.0] || disjoint(set_a,converse(powerset(ordered_pair(second(a),first(a)))))* -> . % 299.97/300.33 102171[16:Res:102154.0,944.2] little_set(u) || subset(u,a)* -> member(u,infinity). % 299.97/300.33 102382[16:MRR:102380.2,83558.0] || disjoint(infinity,sigma(u)) member(powerset(a),u)* -> . % 299.97/300.33 102512[16:Res:55173.1,102359.1] || disjoint(complement(u),universal_set)* disjoint(infinity,sigma(u)) -> . % 299.97/300.33 102513[16:Res:55172.1,102359.1] || disjoint(universal_set,complement(u)) disjoint(infinity,sigma(u))* -> . % 299.97/300.33 102522[16:Res:65800.1,102359.1] || disjoint(successor(u),set_a)* disjoint(infinity,complement(u)) -> . % 299.97/300.33 102523[16:Res:65798.1,102359.1] || disjoint(successor(u),set_b)* disjoint(infinity,complement(u)) -> . % 299.97/300.33 102524[16:Res:57340.1,102359.1] || disjoint(u,sigma(infinity))* disjoint(infinity,complement(u))* -> . % 299.97/300.33 102525[16:Res:57339.1,102359.1] || disjoint(universal_set,successor(u)) disjoint(infinity,complement(u))* -> . % 299.97/300.33 102526[16:Res:57338.1,102359.1] || disjoint(successor(u),infinity)* disjoint(infinity,complement(u)) -> . % 299.97/300.33 102527[16:Res:57337.1,102359.1] || disjoint(successor(u),universal_set)* disjoint(infinity,complement(u)) -> . % 299.97/300.33 102528[16:Res:58879.1,102359.1] || disjoint(u,successor(a))* disjoint(infinity,complement(u))* -> . % 299.97/300.33 102529[16:Res:58875.1,102359.1] || disjoint(u,singleton_set(a))* disjoint(infinity,complement(u))* -> . % 299.97/300.33 102540[16:Res:58882.0,102359.1] || disjoint(infinity,complement(singleton_set(u)))* -> member(a,successor(u)). % 299.97/300.33 102557[16:Res:58855.1,102359.1] || member(a,u) disjoint(infinity,complement(complement(u)))* -> . % 299.97/300.33 102558[16:Res:58868.1,102359.1] || disjoint(infinity,complement(complement(complement(u))))* -> member(a,u). % 299.97/300.33 102559[16:Res:58859.1,102359.1] || disjoint(infinity,complement(intersection(u,v)))* -> member(a,v). % 299.97/300.33 102560[16:Res:58860.1,102359.1] || disjoint(infinity,complement(intersection(u,v)))* -> member(a,u). % 299.97/300.33 102561[16:Res:58861.1,102359.1] || disjoint(infinity,complement(restrict(u,v)))* -> member(a,u). % 299.97/300.33 102570[16:Res:58881.1,102359.1] || member(a,singleton_set(u))* disjoint(infinity,successor(u)) -> . % 299.97/300.33 102574[16:Res:58850.1,102359.1] || disjoint(infinity,union(u,v))* -> member(a,complement(u)). % 299.97/300.33 102575[16:Res:58880.1,102359.1] || disjoint(infinity,union(u,v))* -> member(a,complement(v)). % 299.97/300.33 102576[16:Res:58872.1,102359.1] || equal(a,u) disjoint(infinity,non_ordered_pair(v,u))* -> . % 299.97/300.33 102577[16:Res:58873.1,102359.1] || equal(a,u) disjoint(infinity,non_ordered_pair(u,v))* -> . % 299.97/300.33 102620[16:Res:57730.0,102359.1] || disjoint(infinity,sigma(complement(image(ordered_pair(universal_set,u),v))))* -> . % 299.97/300.33 102622[16:Res:57732.0,102359.1] || disjoint(infinity,sigma(complement(range_of(cross_product(singleton_set(a),u)))))* -> . % 299.97/300.33 102623[16:Res:58870.1,102359.1] || disjoint(infinity,sigma(complement(u)))* -> member(singleton_set(a),u). % 299.97/300.33 102624[16:Res:58869.1,102359.1] || disjoint(infinity,sigma(complement(u)))* -> member(powerset(a),u). % 299.97/300.33 102625[16:Res:55689.1,102359.1] || disjoint(infinity,sigma(complement(u)))* -> member(sigma(infinity),u). % 299.97/300.33 102626[16:Res:58847.0,102359.1] || disjoint(infinity,sigma(complement(u)))* -> member(a,sigma(u)). % 299.97/300.33 102627[16:Res:57728.1,102359.1] || member(infinity,u) disjoint(infinity,sigma(sigma(u)))* -> . % 299.97/300.33 102647[16:SSi:102589.0,159.0,991.0,55026.0] || disjoint(infinity,converse(complement(u)))* -> member(a,converse(u)). % 299.97/300.33 102648[16:SSi:102638.0,159.0,991.0,55026.0] || disjoint(infinity,converse(powerset(ordered_pair(second(a),first(a)))))* -> . % 299.97/300.33 102803[3:Obv:102795.0] || -> subset(cross_product(u,v),complement(singleton_set(w)))* ordered_pair_predicate(second(w)). % 299.97/300.33 102857[0:Obv:102849.0] || -> subset(cross_product(u,v),complement(singleton_set(w)))* little_set(second(w)). % 299.97/300.33 102912[3:Obv:102904.0] || -> subset(cross_product(u,v),complement(singleton_set(w)))* ordered_pair_predicate(first(w)). % 299.97/300.33 102990[0:Obv:102982.0] || -> subset(cross_product(u,v),complement(singleton_set(w)))* little_set(first(w)). % 299.97/300.33 103096[3:Res:11437.1,88257.1] || subset(singleton_set(infinity),u)* member(infinity,complement(u)) -> . % 299.97/300.33 103237[3:SSi:103203.0,150.0,63.0,15957.0] || subset(singleton_set(infinity),u) -> member(infinity,sigma(powerset(u)))*. % 299.97/300.33 103238[3:SSi:103204.0,150.0,63.0,15957.0] || equal(singleton_set(infinity),u) -> member(infinity,sigma(singleton_set(u)))*. % 299.97/300.33 103266[3:Res:88325.1,1238.0] || disjoint(u,singleton_set(infinity)) disjoint(complement(u),universal_set)* -> . % 299.97/300.33 103271[3:Res:88325.1,15819.1] || disjoint(u,singleton_set(infinity))* disjoint(universal_set,complement(u))* -> . % 299.97/300.33 103272[16:Res:88325.1,92502.1] || disjoint(u,singleton_set(infinity))* equal(complement(u),a) -> . % 299.97/300.33 103294[16:Res:88503.0,1238.0] || disjoint(complement(singleton_set(complement(u))),universal_set)* -> member(infinity,u). % 299.97/300.33 103297[16:Res:88503.0,102359.1] || disjoint(infinity,complement(singleton_set(complement(u))))* -> member(infinity,u). % 299.97/300.33 103298[16:Res:88503.0,101072.1] || disjoint(set_a,complement(singleton_set(complement(u))))* -> member(infinity,u). % 299.97/300.33 103299[16:Res:88503.0,98786.1] || disjoint(set_b,complement(singleton_set(complement(u))))* -> member(infinity,u). % 299.97/300.33 103300[16:Res:88503.0,55636.1] || disjoint(universal_set,complement(singleton_set(complement(u))))* -> member(infinity,u). % 299.97/300.33 103301[16:Res:88503.0,54995.0] || disjoint(complement(singleton_set(complement(u))),set_b)* -> member(infinity,u). % 299.97/300.33 103302[16:Res:88503.0,54989.0] || disjoint(complement(singleton_set(complement(u))),infinity)* -> member(infinity,u). % 299.97/300.33 103303[16:Res:88503.0,1197.0] || disjoint(complement(singleton_set(complement(u))),set_a)* -> member(infinity,u). % 299.97/300.33 103304[16:Res:88503.0,92502.1] || equal(complement(singleton_set(complement(u))),a)** -> member(infinity,u). % 299.97/300.33 103326[16:Res:88615.0,1238.0] || disjoint(complement(singleton_set(u)),universal_set)* -> member(infinity,complement(u)). % 299.97/300.33 103329[16:Res:88615.0,102359.1] || disjoint(infinity,complement(singleton_set(u)))* -> member(infinity,complement(u)). % 299.97/300.33 103330[16:Res:88615.0,101072.1] || disjoint(set_a,complement(singleton_set(u)))* -> member(infinity,complement(u)). % 299.97/300.33 103331[16:Res:88615.0,98786.1] || disjoint(set_b,complement(singleton_set(u)))* -> member(infinity,complement(u)). % 299.97/300.33 103332[16:Res:88615.0,55636.1] || disjoint(universal_set,complement(singleton_set(u)))* -> member(infinity,complement(u)). % 299.97/300.33 103333[16:Res:88615.0,54995.0] || disjoint(complement(singleton_set(u)),set_b)* -> member(infinity,complement(u)). % 299.97/300.33 103334[16:Res:88615.0,54989.0] || disjoint(complement(singleton_set(u)),infinity)* -> member(infinity,complement(u)). % 299.97/300.33 103335[16:Res:88615.0,1197.0] || disjoint(complement(singleton_set(u)),set_a)* -> member(infinity,complement(u)). % 299.97/300.33 103336[16:Res:88615.0,92502.1] || equal(complement(singleton_set(u)),a) -> member(infinity,complement(u))*. % 299.97/300.33 103381[16:Res:13861.1,88855.0] || disjoint(u,complement(singleton_set(infinity)))* -> member(a,complement(u)). % 299.97/300.33 103382[16:Res:98305.0,88855.0] || -> member(u,complement(singleton_set(infinity)))* member(a,complement(singleton_set(u)))*. % 299.97/300.33 103758[0:SpL:113.0,16416.0] || member(u,domain_of(restrict(v,w)))* -> member(u,w). % 299.97/300.33 104202[16:Res:13861.1,88875.0] || disjoint(u,complement(singleton_set(set_b)))* -> member(a,complement(u)). % 299.97/300.33 104203[16:Res:98305.0,88875.0] || -> member(u,complement(singleton_set(set_b)))* member(a,complement(singleton_set(u)))*. % 299.97/300.33 104699[3:SSi:104572.0,63.0,15957.0] || disjoint(universal_set,union(u,v))* -> member(infinity,complement(u)). % 299.97/300.33 105045[3:SSi:104916.0,63.0,15957.0] || disjoint(universal_set,union(u,v))* -> member(infinity,complement(v)). % 299.97/300.33 105465[16:Res:13861.1,88898.0] || disjoint(u,complement(singleton_set(set_a)))* -> member(a,complement(u)). % 299.97/300.33 105466[16:Res:98305.0,88898.0] || -> member(u,complement(singleton_set(set_a)))* member(a,complement(singleton_set(u)))*. % 299.97/300.33 3272[3:SpL:13.0,1419.1] || equal(singleton_set(u),a) disjoint(ordered_pair(u,v),set_a)* -> . % 299.97/300.33 7403[0:Res:26.1,7326.0] || member(universal_set,second(u)) -> equal(sigma(f7(universal_set,u)),universal_set)**. % 299.97/300.33 7404[0:Res:21.1,7326.0] || member(universal_set,first(u)) -> equal(sigma(f4(universal_set,u)),universal_set)**. % 299.97/300.33 7405[0:Res:67.1,7326.0] || member(universal_set,sigma(u)) -> equal(sigma(f16(universal_set,u)),universal_set)**. % 299.97/300.33 8011[0:Res:1513.1,684.0] || disjoint(f17(u,powerset(v)),universal_set)* -> subset(u,powerset(v)). % 299.97/300.33 10853[6:EmS:10805.0,6173.1] || equal(f16(u,v),universal_set) member(u,sigma(v))* -> . % 299.97/300.33 10873[6:EmS:10805.0,106.1] || equal(f27(u,v),universal_set) member(u,range_of(v))* -> . % 299.97/300.33 10874[6:EmS:10805.0,37.1] || equal(f8(u,v),universal_set) member(u,domain_of(v))* -> . % 299.97/300.33 10875[6:EmS:10805.0,3914.2] ordered_pair_predicate(u) || equal(universal_set,v)* equal(v,u)* -> . % 299.97/300.33 10876[6:EmS:10805.0,8203.2] little_set(u) || equal(universal_set,v)* equal(u,v)* -> . % 299.97/300.33 10893[6:EmS:10806.0,18.1] || equal(f4(u,v),universal_set) member(u,first(v))* -> . % 299.97/300.33 10894[6:EmS:10806.0,19.1] || equal(f5(u,v),universal_set) member(u,first(v))* -> . % 299.97/300.33 10895[6:EmS:10806.0,23.1] || equal(f6(u,v),universal_set) member(u,second(v))* -> . % 299.97/300.33 10896[6:EmS:10806.0,24.1] || equal(f7(u,v),universal_set) member(u,second(v))* -> . % 299.97/300.33 10906[6:EmS:10806.0,48.1] || equal(f9(u,v),universal_set) member(u,rotate_right(v))* -> . % 299.97/300.33 10907[6:EmS:10806.0,49.1] || equal(f10(u,v),universal_set) member(u,rotate_right(v))* -> . % 299.97/300.33 10908[6:EmS:10806.0,50.1] || equal(f11(u,v),universal_set) member(u,rotate_right(v))* -> . % 299.97/300.33 10909[6:EmS:10806.0,54.1] || equal(f12(u,v),universal_set) member(u,flip_range_of(v))* -> . % 299.97/300.33 10910[6:EmS:10806.0,55.1] || equal(f13(u,v),universal_set) member(u,flip_range_of(v))* -> . % 299.97/300.33 10911[6:EmS:10806.0,56.1] || equal(f14(u,v),universal_set) member(u,flip_range_of(v))* -> . % 299.97/300.33 11519[6:Rew:5392.0,11498.1] || equal(u,universal_set) -> disjoint(intersection(complement(u),universal_set),successor(u))*. % 299.97/300.34 11520[6:Rew:5392.0,11499.1] || equal(u,universal_set) -> disjoint(successor(u),intersection(complement(u),universal_set))*. % 299.97/300.34 11644[0:SpR:36.0,11639.0] || -> disjoint(intersection(intersection(complement(u),complement(v)),w),union(u,v))*. % 299.97/300.34 11657[0:SpR:36.0,11649.0] || -> disjoint(restrict(intersection(complement(u),complement(v)),w),union(u,v))*. % 299.97/300.34 11743[0:SpR:36.0,11733.0] || -> disjoint(union(u,v),intersection(intersection(complement(u),complement(v)),w))*. % 299.97/300.34 11754[0:SpR:36.0,11737.0] || -> disjoint(union(u,v),restrict(intersection(complement(u),complement(v)),w))*. % 299.97/300.34 11836[0:SpR:36.0,11831.0] || -> disjoint(intersection(u,intersection(complement(v),complement(w))),union(v,w))*. % 299.97/300.34 12002[0:SpR:36.0,11992.0] || -> disjoint(union(u,v),intersection(w,intersection(complement(u),complement(v))))*. % 299.97/300.34 12187[6:Res:87.1,10857.1] || equal(successor(ordered_pair(f19(infinity),f21(infinity))),universal_set)** -> single_valued_set(infinity). % 299.97/300.34 12188[6:Res:86.1,10857.1] || equal(successor(ordered_pair(f19(infinity),f20(infinity))),universal_set)** -> single_valued_set(infinity). % 299.97/300.34 13034[6:SpL:16.1,11587.0] ordered_pair_predicate(u) || equal(f1(u,universal_set),singleton_set(f2(u)))** -> . % 299.97/300.34 13903[2:Res:13860.1,684.0] || disjoint(universal_set,f17(u,powerset(v)))* -> subset(u,powerset(v)). % 299.97/300.34 15875[2:Res:26.1,15679.1] || member(set_b,second(u)) disjoint(universal_set,f7(set_b,u))* -> . % 299.97/300.34 15876[2:Res:21.1,15679.1] || member(set_b,first(u)) disjoint(universal_set,f4(set_b,u))* -> . % 299.97/300.34 15877[2:Res:67.1,15679.1] || member(set_b,sigma(u)) disjoint(universal_set,f16(set_b,u))* -> . % 299.97/300.34 15900[2:Res:26.1,15721.1] || member(set_a,second(u)) disjoint(universal_set,f7(set_a,u))* -> . % 299.97/300.34 15901[2:Res:21.1,15721.1] || member(set_a,first(u)) disjoint(universal_set,f4(set_a,u))* -> . % 299.97/300.34 15902[2:Res:67.1,15721.1] || member(set_a,sigma(u)) disjoint(universal_set,f16(set_a,u))* -> . % 299.97/300.34 15928[2:Res:26.1,15819.1] || member(infinity,second(u)) disjoint(universal_set,f7(infinity,u))* -> . % 299.97/300.34 15929[2:Res:21.1,15819.1] || member(infinity,first(u)) disjoint(universal_set,f4(infinity,u))* -> . % 299.97/300.34 15930[2:Res:67.1,15819.1] || member(infinity,sigma(u)) disjoint(universal_set,f16(infinity,u))* -> . % 299.97/300.34 15938[2:SSi:15932.0,63.0] || equal(singleton_set(u),infinity) disjoint(universal_set,ordered_pair(u,v))* -> . % 299.97/300.34 15990[2:Con:15984.3] little_set(u) || disjoint(universal_set,complement(v))* -> member(u,v)*. % 299.97/300.34 16772[0:Res:9144.0,1241.2] || equal(u,v) member(u,complement(non_ordered_pair(w,v)))* -> . % 299.97/300.34 16954[0:Res:9144.0,1242.2] || equal(u,v) member(u,complement(non_ordered_pair(v,w)))* -> . % 299.97/300.34 17246[0:SpR:113.0,14043.1] || disjoint(cross_product(u,universal_set),v) -> disjoint(restrict(w,u),v)*. % 299.97/300.34 17317[0:SpR:113.0,14152.1] || disjoint(cross_product(u,universal_set),v)* -> disjoint(v,restrict(w,u))*. % 299.97/300.34 17620[2:Res:954.2,17597.0] || subset(u,image(f23(u,v),w))* -> disjoint(u,v). % 299.97/300.34 17621[2:Res:961.2,17597.0] || subset(u,image(f23(v,u),w))* -> disjoint(v,u). % 299.97/300.34 17622[2:Res:955.2,17597.0] || subset(u,image(f17(u,v),w))* -> subset(u,v). % 299.97/300.34 17624[2:Res:960.2,17597.0] || member(u,infinity) subset(infinity,image(successor(u),v))* -> . % 299.97/300.34 17629[2:Res:46.1,17597.0] || member(u,converse(image(ordered_pair(second(u),first(u)),v)))* -> . % 299.97/300.34 17682[2:Res:954.2,17668.0] || subset(u,apply(v,f23(u,w)))* -> disjoint(u,w). % 299.97/300.34 17683[2:Res:961.2,17668.0] || subset(u,apply(v,f23(w,u)))* -> disjoint(w,u). % 299.97/300.34 17684[2:Res:955.2,17668.0] || subset(u,apply(v,f17(u,w)))* -> subset(u,w). % 299.97/300.34 17686[2:Res:960.2,17668.0] || member(u,infinity) subset(infinity,apply(v,successor(u)))* -> . % 299.97/300.34 17695[2:Rew:122.0,17692.0] || subset(u,apply_to_two_arguments(v,f19(u),f21(u)))* -> single_valued_set(u). % 299.97/300.34 17696[2:Rew:122.0,17693.0] || subset(u,apply_to_two_arguments(v,f19(u),f20(u)))* -> single_valued_set(u). % 299.97/300.34 20372[0:Res:1150.2,20268.0] || member(u,v)* disjoint(v,v)* -> subset(u,w)*. % 299.97/300.34 20373[0:Res:1149.2,20268.0] || member(u,v)* disjoint(v,v)* -> disjoint(u,w)*. % 299.97/300.34 20374[0:Res:1157.2,20268.0] || member(u,v)* disjoint(v,v)* -> disjoint(w,u)*. % 299.97/300.34 23690[3:SpR:6340.1,11645.0] || -> ordered_pair_predicate(u) disjoint(intersection(intersection(complement(u),universal_set),v),successor(u))*. % 299.97/300.34 23691[2:SpR:2590.1,11645.0] || -> little_set(u) disjoint(intersection(intersection(complement(u),universal_set),v),successor(u))*. % 299.97/300.34 23848[3:SpR:6340.1,11658.0] || -> ordered_pair_predicate(u) disjoint(restrict(intersection(complement(u),universal_set),v),successor(u))*. % 299.97/300.34 23849[2:SpR:2590.1,11658.0] || -> little_set(u) disjoint(restrict(intersection(complement(u),universal_set),v),successor(u))*. % 299.97/300.34 23915[3:SpR:6340.1,11744.0] || -> ordered_pair_predicate(u) disjoint(successor(u),intersection(intersection(complement(u),universal_set),v))*. % 299.97/300.34 23916[2:SpR:2590.1,11744.0] || -> little_set(u) disjoint(successor(u),intersection(intersection(complement(u),universal_set),v))*. % 299.97/300.34 24260[3:SpR:6340.1,11755.0] || -> ordered_pair_predicate(u) disjoint(successor(u),restrict(intersection(complement(u),universal_set),v))*. % 299.97/300.34 24261[2:SpR:2590.1,11755.0] || -> little_set(u) disjoint(successor(u),restrict(intersection(complement(u),universal_set),v))*. % 299.97/300.34 24410[3:SpR:6340.1,11837.0] || -> ordered_pair_predicate(u) disjoint(intersection(v,intersection(complement(u),universal_set)),successor(u))*. % 299.97/300.34 24411[2:SpR:2590.1,11837.0] || -> little_set(u) disjoint(intersection(v,intersection(complement(u),universal_set)),successor(u))*. % 299.97/300.34 24504[3:SpR:6340.1,12003.0] || -> ordered_pair_predicate(u) disjoint(successor(u),intersection(v,intersection(complement(u),universal_set)))*. % 299.97/300.34 24505[2:SpR:2590.1,12003.0] || -> little_set(u) disjoint(successor(u),intersection(v,intersection(complement(u),universal_set)))*. % 299.97/300.34 26400[7:Res:26333.1,42.0] || subset(universal_set,cross_product(u,v))* -> member(first(sigma(infinity)),u). % 299.97/300.34 26401[7:Res:26333.1,43.0] || subset(universal_set,cross_product(u,v))* -> member(second(sigma(infinity)),v). % 299.97/300.34 26421[7:Res:26333.1,560.0] || subset(universal_set,domain_of(cross_product(u,v)))* -> member(sigma(infinity),u). % 299.97/300.34 26423[7:Res:26333.1,547.0] || subset(universal_set,range_of(cross_product(u,v)))* -> member(sigma(infinity),v). % 299.97/300.34 26983[7:Res:26830.1,10857.1] || disjoint(universal_set,complement(infinity))* equal(successor(sigma(infinity)),universal_set) -> . % 299.97/300.34 26986[7:Res:26830.1,34.1] || disjoint(universal_set,complement(complement(u)))* member(sigma(infinity),u) -> . % 299.97/300.34 26987[7:Res:26830.1,10964.0] || disjoint(universal_set,complement(complement(complement(u))))* -> member(sigma(infinity),u). % 299.97/300.34 26996[7:Res:26830.1,31.0] || disjoint(universal_set,complement(intersection(u,v)))* -> member(sigma(infinity),u). % 299.97/300.34 26997[7:Res:26830.1,32.0] || disjoint(universal_set,complement(intersection(u,v)))* -> member(sigma(infinity),v). % 299.97/300.34 27001[7:Res:26830.1,15955.0] || disjoint(universal_set,complement(sigma(powerset(u))))* -> member(sigma(infinity),u). % 299.97/300.34 27003[7:Res:26830.1,282.0] || disjoint(universal_set,complement(restrict(u,v)))* -> member(sigma(infinity),u). % 299.97/300.34 27128[7:Res:26831.1,10857.1] || disjoint(complement(infinity),universal_set)* equal(successor(sigma(infinity)),universal_set) -> . % 299.97/300.34 27131[7:Res:26831.1,34.1] || disjoint(complement(complement(u)),universal_set)* member(sigma(infinity),u) -> . % 299.97/300.34 27132[7:Res:26831.1,10964.0] || disjoint(complement(complement(complement(u))),universal_set)* -> member(sigma(infinity),u). % 299.97/300.34 27141[7:Res:26831.1,31.0] || disjoint(complement(intersection(u,v)),universal_set)* -> member(sigma(infinity),u). % 299.97/300.34 27142[7:Res:26831.1,32.0] || disjoint(complement(intersection(u,v)),universal_set)* -> member(sigma(infinity),v). % 299.97/300.34 27146[7:Res:26831.1,15955.0] || disjoint(complement(sigma(powerset(u))),universal_set)* -> member(sigma(infinity),u). % 299.97/300.34 27148[7:Res:26831.1,282.0] || disjoint(complement(restrict(u,v)),universal_set)* -> member(sigma(infinity),u). % 299.97/300.34 32471[7:Res:25872.1,1238.0] || subset(sigma(infinity),u) disjoint(sigma(powerset(u)),universal_set)* -> . % 299.97/300.34 32476[8:Res:25872.1,21511.1] || subset(sigma(infinity),u) disjoint(universal_set,sigma(powerset(u)))* -> . % 299.97/300.34 32477[7:Res:25872.1,1218.0] || subset(sigma(infinity),u) disjoint(sigma(powerset(u)),infinity)* -> . % 299.97/300.34 32526[7:Res:25873.1,1238.0] || equal(sigma(infinity),u) disjoint(sigma(singleton_set(u)),universal_set)* -> . % 299.97/300.34 32530[8:Res:25873.1,21511.1] || equal(sigma(infinity),u) disjoint(universal_set,sigma(singleton_set(u)))* -> . % 299.97/300.34 32531[7:Res:25873.1,1218.0] || equal(sigma(infinity),u) disjoint(sigma(singleton_set(u)),infinity)* -> . % 299.97/300.34 32670[7:Res:13975.1,32663.1] || member(sigma(infinity),u) subset(universal_set,complement(sigma(u)))* -> . % 299.97/300.34 32673[7:Res:17151.1,32663.1] || disjoint(u,sigma(infinity)) subset(universal_set,restrict(u,v))* -> . % 299.97/300.34 32674[7:Res:14040.1,32663.1] || disjoint(u,sigma(infinity)) subset(universal_set,intersection(u,v))* -> . % 299.97/300.34 32675[7:Res:14043.1,32663.1] || disjoint(u,sigma(infinity)) subset(universal_set,intersection(v,u))* -> . % 299.97/300.34 32710[8:Res:11437.1,26031.0] || subset(sigma(infinity),u) disjoint(universal_set,complement(complement(u)))* -> . % 299.97/300.34 32875[7:Res:13975.1,32869.1] || member(sigma(infinity),u) subset(infinity,complement(sigma(u)))* -> . % 299.97/300.34 32878[7:Res:17151.1,32869.1] || disjoint(u,sigma(infinity)) subset(infinity,restrict(u,v))* -> . % 299.97/300.34 32879[7:Res:14040.1,32869.1] || disjoint(u,sigma(infinity)) subset(infinity,intersection(u,v))* -> . % 299.97/300.34 32880[7:Res:14043.1,32869.1] || disjoint(u,sigma(infinity)) subset(infinity,intersection(v,u))* -> . % 299.97/300.34 33402[7:Res:33376.1,10857.1] || member(universal_set,powerset(infinity))* equal(successor(sigma(infinity)),universal_set) -> . % 299.97/300.34 33405[7:Res:33376.1,34.1] || member(universal_set,powerset(complement(u)))* member(sigma(infinity),u) -> . % 299.97/300.34 33406[7:Res:33376.1,10964.0] || member(universal_set,powerset(complement(complement(u))))* -> member(sigma(infinity),u). % 299.97/300.34 33415[7:Res:33376.1,31.0] || member(universal_set,powerset(intersection(u,v)))* -> member(sigma(infinity),u). % 299.97/300.34 33416[7:Res:33376.1,32.0] || member(universal_set,powerset(intersection(u,v)))* -> member(sigma(infinity),v). % 299.97/300.34 33420[7:Res:33376.1,15955.0] || member(universal_set,powerset(sigma(powerset(u))))* -> member(sigma(infinity),u). % 299.97/300.34 33422[7:Res:33376.1,282.0] || member(universal_set,powerset(restrict(u,v)))* -> member(sigma(infinity),u). % 299.97/300.34 34821[7:Res:13861.1,32669.0] || disjoint(u,sigma(infinity)) subset(universal_set,complement(complement(u)))* -> . % 299.97/300.34 34939[6:SpL:16.1,34934.0] ordered_pair_predicate(u) || equal(f1(universal_set,u),singleton_set(f2(u)))** -> . % 299.97/300.34 34957[7:Res:13861.1,32874.0] || disjoint(u,sigma(infinity)) subset(infinity,complement(complement(u)))* -> . % 299.97/300.34 38331[7:Res:38118.1,1238.0] || subset(universal_set,powerset(u)) disjoint(complement(complement(u)),universal_set)* -> . % 299.97/300.34 38335[8:Res:38118.1,21511.1] || subset(universal_set,powerset(u)) disjoint(universal_set,complement(complement(u)))* -> . % 299.97/300.34 38336[7:Res:38118.1,1218.0] || subset(universal_set,powerset(u)) disjoint(complement(complement(u)),infinity)* -> . % 299.97/300.34 38788[7:Res:38761.1,1238.0] || disjoint(successor(u),universal_set) disjoint(complement(singleton_set(u)),universal_set)* -> . % 299.97/300.34 38791[8:Res:38761.1,21511.1] || disjoint(successor(u),universal_set) disjoint(universal_set,complement(singleton_set(u)))* -> . % 299.97/300.34 38792[7:Res:38761.1,1218.0] || disjoint(successor(u),universal_set) disjoint(complement(singleton_set(u)),infinity)* -> . % 299.97/300.34 38825[7:Res:38799.1,1238.0] || disjoint(successor(u),infinity) disjoint(complement(singleton_set(u)),universal_set)* -> . % 299.97/300.34 38828[8:Res:38799.1,21511.1] || disjoint(successor(u),infinity) disjoint(universal_set,complement(singleton_set(u)))* -> . % 299.97/300.34 38829[7:Res:38799.1,1218.0] || disjoint(successor(u),infinity) disjoint(complement(singleton_set(u)),infinity)* -> . % 299.97/300.34 39701[3:Res:561.1,39682.0] || closed(complement(range_of(u)),u)* -> member(infinity,complement(range_of(u))). % 299.97/300.34 40483[8:Res:40329.1,1238.0] || disjoint(universal_set,successor(u)) disjoint(complement(singleton_set(u)),universal_set)* -> . % 299.97/300.34 40486[8:Res:40329.1,21511.1] || disjoint(universal_set,successor(u)) disjoint(universal_set,complement(singleton_set(u)))* -> . % 299.97/300.34 40487[8:Res:40329.1,1218.0] || disjoint(universal_set,successor(u)) disjoint(complement(singleton_set(u)),infinity)* -> . % 299.97/300.34 40803[3:Rew:36.0,40797.0] || -> equal(union(u,v),universal_set) ordered_pair_predicate(f1(universal_set,union(u,v)))*. % 299.97/300.34 43613[14:Res:42571.1,10857.1] || subset(universal_set,infinity) equal(successor(ordered_pair(universal_set,u)),universal_set)** -> . % 299.97/300.34 43616[14:Res:42571.1,34.1] || subset(universal_set,complement(u)) member(ordered_pair(universal_set,v),u)* -> . % 299.97/300.34 43617[14:Res:42571.1,10964.0] || subset(universal_set,complement(complement(u)))* -> member(ordered_pair(universal_set,v),u)*. % 299.97/300.34 43628[14:Res:42571.1,31.0] || subset(universal_set,intersection(u,v))* -> member(ordered_pair(universal_set,w),u)*. % 299.97/300.34 43629[14:Res:42571.1,32.0] || subset(universal_set,intersection(u,v))* -> member(ordered_pair(universal_set,w),v)*. % 299.97/300.34 43633[14:Res:42571.1,15955.0] || subset(universal_set,sigma(powerset(u)))* -> member(ordered_pair(universal_set,v),u)*. % 299.97/300.34 43635[14:Res:42571.1,282.0] || subset(universal_set,restrict(u,v))* -> member(ordered_pair(universal_set,w),u)*. % 299.97/300.34 43757[7:Res:41360.0,1238.0] || disjoint(sigma(complement(range_of(cross_product(ordered_pair(universal_set,u),v)))),universal_set)* -> . % 299.97/300.34 43761[8:Res:41360.0,21511.1] || disjoint(universal_set,sigma(complement(range_of(cross_product(ordered_pair(universal_set,u),v)))))* -> . % 299.97/300.34 43762[7:Res:41360.0,1218.0] || disjoint(sigma(complement(range_of(cross_product(ordered_pair(universal_set,u),v)))),infinity)* -> . % 299.97/300.34 58927[16:Rew:54986.0,55167.1] || member(a,sigma(u)) disjoint(universal_set,f16(a,u))* -> . % 299.97/300.34 58928[16:Rew:54986.0,55168.0] || member(complement(complement(singleton_set(a))),u)* -> member(a,sigma(u)). % 299.97/300.34 58930[16:Rew:375.0,55207.0] || equal(singleton_set(singleton_set(a)),u) disjoint(universal_set,singleton_set(u))* -> . % 299.97/300.34 58932[16:Rew:54986.0,55226.1] || member(a,second(u)) disjoint(universal_set,f7(a,u))* -> . % 299.97/300.34 58935[16:Rew:54986.0,55229.1] || member(a,first(u)) disjoint(universal_set,f4(a,u))* -> . % 299.97/300.34 55326[16:Rew:54986.0,49215.2] || subset(universal_set,u)* subset(u,v)* -> member(a,v). % 299.97/300.34 58937[16:Rew:54986.0,55327.1] || subset(u,v)* -> disjoint(powerset(a),u)* member(a,v). % 299.97/300.34 58938[16:Rew:54986.0,55328.1] || subset(complement(u),v)* -> member(a,u) member(a,v). % 299.97/300.34 58939[16:Rew:54986.0,55329.0] || subset(u,a)* member(u,v)* -> member(a,v)*. % 299.97/300.34 58940[16:Rew:54986.0,55330.1] || subset(u,v)* -> disjoint(u,powerset(a))* member(a,v). % 299.97/300.34 55331[16:Rew:54986.0,49141.1] || subset(complement(complement(ordered_pair(universal_set,u))),v)* -> member(a,v). % 299.97/300.34 55398[16:Rew:54986.0,49261.1] || member(complement(complement(powerset(u))),v)* -> member(a,sigma(v)). % 299.97/300.34 58941[16:Rew:54986.0,55490.1] || equal(non_ordered_pair(u,v),a) -> member(a,ordered_pair(u,v))*. % 299.97/300.34 55507[16:Rew:54986.0,49343.0] || equal(singleton_set(u),a) disjoint(ordered_pair(u,v),infinity)* -> . % 299.97/300.34 55508[16:Rew:54986.0,49339.0] || equal(singleton_set(u),a) disjoint(universal_set,ordered_pair(u,v))* -> . % 299.97/300.34 58942[16:Rew:54986.0,55509.1] || equal(singleton_set(u),a) -> subset(powerset(a),ordered_pair(u,v))*. % 299.97/300.34 55510[16:Rew:54986.0,49329.0] || equal(singleton_set(u),a) disjoint(ordered_pair(u,v),universal_set)* -> . % 299.97/300.34 55535[16:Rew:54986.0,3065.0] || equal(singleton_set(u),a) disjoint(ordered_pair(u,v),set_b)* -> . % 299.97/300.34 55576[16:Rew:54986.0,49694.0] || member(a,u) disjoint(u,complement(complement(powerset(v))))* -> . % 299.97/300.34 58943[16:Rew:54986.0,55577.1] || member(a,u) disjoint(u,complement(complement(singleton_set(a))))* -> . % 299.97/300.34 55654[16:Rew:54986.0,49736.1] || disjoint(complement(cross_product(u,v)),universal_set)* -> member(second(a),v). % 299.97/300.34 55655[16:Rew:54986.0,49735.1] || disjoint(universal_set,complement(cross_product(u,v)))* -> member(second(a),v). % 299.97/300.34 55656[16:Rew:54986.0,49734.1] || disjoint(complement(cross_product(u,v)),infinity)* -> member(second(a),v). % 299.97/300.34 55676[16:Rew:54986.0,49753.1] || disjoint(complement(cross_product(u,v)),universal_set)* -> member(first(a),u). % 299.97/300.34 55677[16:Rew:54986.0,49752.1] || disjoint(universal_set,complement(cross_product(u,v)))* -> member(first(a),u). % 299.97/300.34 55678[16:Rew:54986.0,49751.1] || disjoint(complement(cross_product(u,v)),infinity)* -> member(first(a),u). % 299.97/300.34 58944[16:Rew:54986.0,55701.0] || equal(powerset(a),u) -> member(a,sigma(non_ordered_pair(v,u)))*. % 299.97/300.34 55702[16:Rew:54986.0,50212.1] || equal(sigma(infinity),u) -> member(a,sigma(non_ordered_pair(v,u)))*. % 299.97/300.34 58945[16:Rew:54986.0,55703.0] || equal(singleton_set(a),u) -> member(a,sigma(non_ordered_pair(v,u)))*. % 299.97/300.34 58946[16:Rew:54986.0,55707.0] || equal(powerset(a),u) -> member(a,sigma(non_ordered_pair(u,v)))*. % 299.97/300.34 55708[16:Rew:54986.0,50217.1] || equal(sigma(infinity),u) -> member(a,sigma(non_ordered_pair(u,v)))*. % 299.97/300.34 58947[16:Rew:54986.0,55709.0] || equal(singleton_set(a),u) -> member(a,sigma(non_ordered_pair(u,v)))*. % 299.97/300.34 58952[16:Rew:54986.0,55778.0] || member(successor(a),u) member(a,complement(sigma(u)))* -> . % 299.97/300.34 55779[16:Rew:54986.0,50978.1] || member(sigma(infinity),u) member(a,complement(sigma(u)))* -> . % 299.97/300.34 58953[16:Rew:54986.0,55780.0] || member(singleton_set(a),u) member(a,complement(sigma(u)))* -> . % 299.97/300.34 58954[16:Rew:54986.0,55782.0] || disjoint(u,successor(a)) member(a,restrict(u,v))* -> . % 299.97/300.34 55783[16:Rew:54986.0,51007.1] || disjoint(u,sigma(infinity)) member(a,restrict(u,v))* -> . % 299.97/300.34 58955[16:Rew:54986.0,55784.0] || disjoint(u,singleton_set(a)) member(a,restrict(u,v))* -> . % 299.97/300.34 58956[16:Rew:54986.0,55786.0] || disjoint(u,successor(a)) member(a,intersection(u,v))* -> . % 299.97/300.34 55787[16:Rew:54986.0,50993.1] || disjoint(u,sigma(infinity)) member(a,intersection(u,v))* -> . % 299.97/300.34 58957[16:Rew:54986.0,55788.0] || disjoint(u,singleton_set(a)) member(a,intersection(u,v))* -> . % 299.97/300.34 58958[16:Rew:54986.0,55790.0] || disjoint(u,successor(a)) member(a,intersection(v,u))* -> . % 299.97/300.34 55791[16:Rew:54986.0,51000.1] || disjoint(u,sigma(infinity)) member(a,intersection(v,u))* -> . % 299.97/300.34 58959[16:Rew:54986.0,55792.0] || disjoint(u,singleton_set(a)) member(a,intersection(v,u))* -> . % 299.97/300.34 58960[16:Rew:54986.0,55825.1] || -> member(a,cross_product(u,universal_set)) member(a,complement(restrict(v,u)))*. % 299.97/300.34 58961[16:Rew:54986.0,55826.1] || -> member(a,cross_product(u,universal_set)) disjoint(restrict(v,u),powerset(a))*. % 299.97/300.34 58962[16:Rew:54986.0,55837.0] || disjoint(u,successor(a)) member(a,complement(complement(u)))* -> . % 299.97/300.34 55838[16:Rew:54986.0,51028.1] || disjoint(u,sigma(infinity)) member(a,complement(complement(u)))* -> . % 299.97/300.34 55839[16:Rew:54986.0,51027.1] || disjoint(u,powerset(v))* member(a,complement(complement(u)))* -> . % 299.97/300.34 58963[16:Rew:54986.0,55840.0] || disjoint(u,singleton_set(a)) member(a,complement(complement(u)))* -> . % 299.97/300.34 56182[16:Rew:54986.0,48996.2] little_set(u) || equal(f26(u),universal_set)** -> equal(u,a). % 299.97/300.34 56183[16:Rew:54986.0,48995.1] || member(u,v)* -> equal(u,a) member(f26(u),universal_set)*. % 299.97/300.34 56184[16:Rew:54986.0,48985.0] || equal(u,a) subset(universal_set,v)* -> member(u,v)*. % 299.97/300.34 58964[16:Rew:54986.0,56185.1] || member(u,v)* subset(v,a)* -> equal(u,a). % 299.97/300.34 56186[16:Rew:54986.0,48908.2] || member(u,v)* disjoint(v,v)* -> equal(u,a). % 299.97/300.34 56187[16:Rew:54986.0,48907.1] || subset(u,range_of(cross_product(f24(u),v)))* -> equal(u,a). % 299.97/300.34 58965[16:Rew:54986.0,56188.1] || -> equal(u,a) equal(f24(u),a) ordered_pair_predicate(f26(f24(u)))*. % 299.97/300.34 58966[16:Rew:54986.0,56218.1] || equal(a,u) subset(powerset(non_ordered_pair(v,u)),a)* -> . % 299.97/300.34 58967[16:Rew:54986.0,56219.1] || equal(a,u) subset(powerset(non_ordered_pair(u,v)),a)* -> . % 299.97/300.34 58968[16:Rew:54986.0,56220.1] || equal(a,u) -> member(a,complement(complement(non_ordered_pair(v,u))))*. % 299.97/300.34 58969[16:Rew:54986.0,56221.1] || equal(a,u) -> member(a,complement(complement(non_ordered_pair(u,v))))*. % 299.97/300.34 56222[16:Rew:54986.0,49708.0] || equal(a,u) disjoint(complement(complement(singleton_set(u))),universal_set)* -> . % 299.97/300.34 56223[16:Rew:54986.0,49707.0] || equal(a,u) disjoint(universal_set,complement(complement(singleton_set(u))))* -> . % 299.97/300.34 56224[16:Rew:54986.0,49706.0] || equal(a,u) disjoint(complement(complement(singleton_set(u))),infinity)* -> . % 299.97/300.34 58970[16:Rew:54986.0,56268.1] || disjoint(u,complement(complement(singleton_set(a))))* -> member(a,complement(u)). % 299.97/300.34 56274[16:Rew:54986.0,49515.0] || disjoint(universal_set,complement(intersection(intersection(universal_set,complement(singleton_set(a))),u)))* -> . % 299.97/300.34 56277[16:Rew:54986.0,49517.0] || disjoint(universal_set,complement(restrict(intersection(universal_set,complement(singleton_set(a))),u)))* -> . % 299.97/300.34 56280[16:Rew:54986.0,49516.0] || disjoint(universal_set,complement(intersection(u,intersection(universal_set,complement(singleton_set(a))))))* -> . % 299.97/300.34 58971[16:Rew:54986.0,56282.1] || member(u,complement(singleton_set(a)))* member(u,successor(a)) -> . % 299.97/300.34 56284[16:Rew:54986.0,49545.1] || disjoint(universal_set,complement(infinity))* equal(successor(singleton_set(a)),universal_set) -> . % 299.97/300.34 56285[16:Rew:54986.0,49544.1] || disjoint(complement(infinity),universal_set)* equal(successor(singleton_set(a)),universal_set) -> . % 299.97/300.34 56286[16:Rew:54986.0,49543.1] || member(universal_set,powerset(infinity))* equal(successor(singleton_set(a)),universal_set) -> . % 299.97/300.34 56308[16:Rew:54986.0,49439.0] || equal(singleton_set(a),u) disjoint(sigma(singleton_set(u)),universal_set)* -> . % 299.97/300.34 56309[16:Rew:54986.0,49438.0] || equal(singleton_set(a),u) disjoint(universal_set,sigma(singleton_set(u)))* -> . % 299.97/300.34 56310[16:Rew:54986.0,49437.0] || equal(singleton_set(a),u) disjoint(sigma(singleton_set(u)),infinity)* -> . % 299.97/300.34 58972[16:Rew:54986.0,56322.1] little_set(u) || subset(u,a) -> member(u,singleton_set(a))*. % 299.97/300.34 56323[16:Rew:54986.0,49432.0] || subset(singleton_set(a),u) disjoint(sigma(powerset(u)),universal_set)* -> . % 299.97/300.34 56324[16:Rew:54986.0,49431.0] || subset(singleton_set(a),u) disjoint(universal_set,sigma(powerset(u)))* -> . % 299.97/300.34 56325[16:Rew:54986.0,49430.0] || subset(singleton_set(a),u) disjoint(sigma(powerset(u)),infinity)* -> . % 299.97/300.34 56326[16:Rew:54986.0,49429.0] || subset(singleton_set(a),u) disjoint(universal_set,complement(complement(u)))* -> . % 299.97/300.34 56339[16:Rew:54986.0,49426.1] || subset(universal_set,domain_of(cross_product(u,v)))* -> member(singleton_set(a),u). % 299.97/300.34 56340[16:Rew:54986.0,49425.1] || disjoint(universal_set,complement(complement(u)))* member(singleton_set(a),u) -> . % 299.97/300.34 56341[16:Rew:54986.0,49424.1] || disjoint(universal_set,complement(complement(complement(u))))* -> member(singleton_set(a),u). % 299.97/300.34 56342[16:Rew:54986.0,49423.1] || disjoint(universal_set,complement(intersection(u,v)))* -> member(singleton_set(a),u). % 299.97/300.34 56343[16:Rew:54986.0,49422.1] || disjoint(universal_set,complement(sigma(powerset(u))))* -> member(singleton_set(a),u). % 299.97/300.34 56344[16:Rew:54986.0,49421.1] || disjoint(universal_set,complement(restrict(u,v)))* -> member(singleton_set(a),u). % 299.97/300.34 56345[16:Rew:54986.0,49419.1] || disjoint(complement(complement(u)),universal_set)* member(singleton_set(a),u) -> . % 299.97/300.34 56346[16:Rew:54986.0,49418.1] || disjoint(complement(complement(complement(u))),universal_set)* -> member(singleton_set(a),u). % 299.97/300.34 56347[16:Rew:54986.0,49417.1] || disjoint(complement(intersection(u,v)),universal_set)* -> member(singleton_set(a),u). % 299.97/300.34 56348[16:Rew:54986.0,49416.1] || disjoint(complement(sigma(powerset(u))),universal_set)* -> member(singleton_set(a),u). % 299.97/300.34 56349[16:Rew:54986.0,49415.1] || disjoint(complement(restrict(u,v)),universal_set)* -> member(singleton_set(a),u). % 299.97/300.34 56350[16:Rew:54986.0,49413.0] || member(singleton_set(a),u) subset(universal_set,complement(sigma(u)))* -> . % 299.97/300.34 56351[16:Rew:54986.0,49411.0] || member(singleton_set(a),u) subset(infinity,complement(sigma(u)))* -> . % 299.97/300.34 56352[16:Rew:54986.0,49410.1] || member(universal_set,powerset(complement(u)))* member(singleton_set(a),u) -> . % 299.97/300.34 56353[16:Rew:54986.0,49409.1] || member(universal_set,powerset(complement(complement(u))))* -> member(singleton_set(a),u). % 299.97/300.34 56354[16:Rew:54986.0,49408.1] || member(universal_set,powerset(intersection(u,v)))* -> member(singleton_set(a),u). % 299.97/300.34 56355[16:Rew:54986.0,49407.1] || member(universal_set,powerset(sigma(powerset(u))))* -> member(singleton_set(a),u). % 299.97/300.34 56356[16:Rew:54986.0,49406.1] || member(universal_set,powerset(restrict(u,v)))* -> member(singleton_set(a),u). % 299.97/300.34 56380[16:Rew:54986.0,49400.0] || disjoint(u,singleton_set(a)) subset(universal_set,restrict(u,v))* -> . % 299.97/300.34 56381[16:Rew:54986.0,49399.0] || disjoint(u,singleton_set(a)) subset(universal_set,intersection(u,v))* -> . % 299.97/300.34 56382[16:Rew:54986.0,49398.0] || disjoint(u,singleton_set(a)) subset(universal_set,intersection(v,u))* -> . % 299.97/300.34 56383[16:Rew:54986.0,49394.0] || disjoint(u,singleton_set(a)) subset(infinity,restrict(u,v))* -> . % 299.97/300.34 56384[16:Rew:54986.0,49393.0] || disjoint(u,singleton_set(a)) subset(infinity,intersection(u,v))* -> . % 299.97/300.34 56385[16:Rew:54986.0,49392.0] || disjoint(u,singleton_set(a)) subset(infinity,intersection(v,u))* -> . % 299.97/300.34 56386[16:Rew:54986.0,49391.0] || disjoint(u,singleton_set(a)) subset(universal_set,complement(complement(u)))* -> . % 299.97/300.34 56387[16:Rew:54986.0,49390.0] || disjoint(u,singleton_set(a)) subset(infinity,complement(complement(u)))* -> . % 299.97/300.34 56443[16:Rew:54986.0,49379.1] || subset(universal_set,range_of(cross_product(u,v)))* -> member(singleton_set(a),v). % 299.97/300.34 56444[16:Rew:54986.0,49376.1] || disjoint(universal_set,complement(intersection(u,v)))* -> member(singleton_set(a),v). % 299.97/300.34 56445[16:Rew:54986.0,49372.1] || disjoint(complement(intersection(u,v)),universal_set)* -> member(singleton_set(a),v). % 299.97/300.34 56446[16:Rew:54986.0,49368.1] || member(universal_set,powerset(intersection(u,v)))* -> member(singleton_set(a),v). % 299.97/300.34 56449[16:Rew:54986.0,49350.1] || -> little_set(u) equal(apply_to_two_arguments(v,u,u),apply(v,singleton_set(a)))**. % 299.97/300.34 56450[16:Rew:54986.0,49349.1] || -> ordered_pair_predicate(u) equal(apply_to_two_arguments(v,u,u),apply(v,singleton_set(a)))**. % 299.97/300.34 56466[16:Rew:54986.0,49460.1] || subset(universal_set,cross_product(u,v))* -> member(second(singleton_set(a)),v). % 299.97/300.34 56470[16:Rew:54986.0,49464.1] || subset(universal_set,cross_product(u,v))* -> member(first(singleton_set(a)),u). % 299.97/300.34 58975[16:Rew:54986.0,56657.1] || disjoint(u,powerset(a)) subset(powerset(complement(u)),a)* -> . % 299.97/300.34 56665[16:Rew:54986.0,50354.0] || equal(powerset(a),u) disjoint(sigma(singleton_set(u)),universal_set)* -> . % 299.97/300.34 56666[16:Rew:54986.0,50353.0] || equal(powerset(a),u) disjoint(sigma(singleton_set(u)),infinity)* -> . % 299.97/300.34 56667[16:Rew:54986.0,50352.0] || equal(powerset(a),u) disjoint(singleton_set(u),singleton_set(u))* -> . % 299.97/300.34 56668[16:Rew:54986.0,50350.0] || equal(powerset(a),u) disjoint(universal_set,sigma(singleton_set(u)))* -> . % 299.97/300.34 56687[16:Rew:54986.0,50321.0] || subset(powerset(a),u) disjoint(sigma(powerset(u)),universal_set)* -> . % 299.97/300.34 56688[16:Rew:54986.0,50320.0] || subset(powerset(a),u) disjoint(sigma(powerset(u)),infinity)* -> . % 299.97/300.34 56689[16:Rew:54986.0,50319.0] || subset(powerset(a),u) disjoint(powerset(u),powerset(u))* -> . % 299.97/300.34 56690[16:Rew:54986.0,50318.0] || subset(powerset(a),u) disjoint(universal_set,sigma(powerset(u)))* -> . % 299.97/300.34 56700[16:Rew:54986.0,50348.1] || subset(universal_set,domain_of(cross_product(u,v)))* -> member(powerset(a),u). % 299.97/300.34 56701[16:Rew:54986.0,50347.1] || disjoint(universal_set,complement(complement(u)))* member(powerset(a),u) -> . % 299.97/300.34 56702[16:Rew:54986.0,50346.1] || disjoint(universal_set,complement(complement(complement(u))))* -> member(powerset(a),u). % 299.97/300.34 56703[16:Rew:54986.0,50345.1] || disjoint(universal_set,complement(intersection(u,v)))* -> member(powerset(a),u). % 299.97/300.34 56704[16:Rew:54986.0,50344.1] || disjoint(universal_set,complement(restrict(u,v)))* -> member(powerset(a),u). % 299.97/300.34 56705[16:Rew:54986.0,50342.1] || disjoint(complement(complement(u)),universal_set)* member(powerset(a),u) -> . % 299.97/300.34 56706[16:Rew:54986.0,50341.1] || disjoint(complement(complement(complement(u))),universal_set)* -> member(powerset(a),u). % 299.97/300.34 56707[16:Rew:54986.0,50340.1] || disjoint(complement(intersection(u,v)),universal_set)* -> member(powerset(a),u). % 299.97/300.34 56708[16:Rew:54986.0,50339.1] || disjoint(complement(restrict(u,v)),universal_set)* -> member(powerset(a),u). % 299.97/300.34 56709[16:Rew:54986.0,50337.1] || disjoint(complement(sigma(powerset(u))),universal_set)* -> member(powerset(a),u). % 299.97/300.34 56710[16:Rew:54986.0,50336.1] || disjoint(universal_set,complement(sigma(powerset(u))))* -> member(powerset(a),u). % 299.97/300.34 56711[16:Rew:54986.0,50335.1] || member(universal_set,powerset(complement(u)))* member(powerset(a),u) -> . % 299.97/300.34 56712[16:Rew:54986.0,50334.1] || member(universal_set,powerset(complement(complement(u))))* -> member(powerset(a),u). % 299.97/300.34 56713[16:Rew:54986.0,50333.1] || member(universal_set,powerset(intersection(u,v)))* -> member(powerset(a),u). % 299.97/300.34 56714[16:Rew:54986.0,50332.1] || member(universal_set,powerset(sigma(powerset(u))))* -> member(powerset(a),u). % 299.97/300.34 56715[16:Rew:54986.0,50331.1] || member(universal_set,powerset(restrict(u,v)))* -> member(powerset(a),u). % 299.97/300.34 58976[16:Rew:54986.0,56716.1] || member(powerset(a),u) subset(powerset(sigma(u)),a)* -> . % 299.97/300.34 58977[16:Rew:54986.0,56736.1] || -> disjoint(powerset(a),restrict(u,v))* member(a,cross_product(v,universal_set)). % 299.97/300.34 56767[16:Rew:54986.0,50475.1] || disjoint(universal_set,complement(infinity))* equal(successor(powerset(a)),universal_set) -> . % 299.97/300.34 56768[16:Rew:54986.0,50474.1] || disjoint(complement(infinity),universal_set)* equal(successor(powerset(a)),universal_set) -> . % 299.97/300.34 56769[16:Rew:54986.0,50473.1] || member(universal_set,powerset(infinity))* equal(successor(powerset(a)),universal_set) -> . % 299.97/300.34 56782[16:Rew:54986.0,50372.1] || subset(universal_set,range_of(cross_product(u,v)))* -> member(powerset(a),v). % 299.97/300.34 56783[16:Rew:54986.0,50369.1] || disjoint(universal_set,complement(intersection(u,v)))* -> member(powerset(a),v). % 299.97/300.34 56784[16:Rew:54986.0,50365.1] || disjoint(complement(intersection(u,v)),universal_set)* -> member(powerset(a),v). % 299.97/300.34 56785[16:Rew:54986.0,50361.1] || member(universal_set,powerset(intersection(u,v)))* -> member(powerset(a),v). % 299.97/300.34 56790[16:Rew:54986.0,50376.1] || subset(universal_set,cross_product(u,v))* -> member(second(powerset(a)),v). % 299.97/300.34 56794[16:Rew:54986.0,50380.1] || subset(universal_set,cross_product(u,v))* -> member(first(powerset(a)),u). % 299.97/300.34 56831[16:Rew:54986.0,50562.1] || member(complement(sigma(u)),u)* -> member(powerset(a),sigma(u)). % 299.97/300.34 56832[16:Rew:54986.0,50563.1] || disjoint(u,complement(complement(u)))* -> member(powerset(a),complement(u))*. % 299.97/300.34 57102[16:Rew:54986.0,51183.0] || subset(successor(a),u) disjoint(universal_set,complement(complement(u)))* -> . % 299.97/300.34 57111[16:Rew:54986.0,51178.0] || disjoint(u,successor(a)) subset(universal_set,restrict(u,v))* -> . % 299.97/300.34 57112[16:Rew:54986.0,51177.0] || disjoint(u,successor(a)) subset(universal_set,intersection(u,v))* -> . % 299.97/300.34 57113[16:Rew:54986.0,51176.0] || disjoint(u,successor(a)) subset(universal_set,intersection(v,u))* -> . % 299.97/300.34 57114[16:Rew:54986.0,51172.0] || disjoint(u,successor(a)) subset(infinity,restrict(u,v))* -> . % 299.97/300.34 57115[16:Rew:54986.0,51171.0] || disjoint(u,successor(a)) subset(infinity,intersection(u,v))* -> . % 299.97/300.34 57116[16:Rew:54986.0,51170.0] || disjoint(u,successor(a)) subset(infinity,intersection(v,u))* -> . % 299.97/300.34 57117[16:Rew:54986.0,51169.0] || disjoint(u,successor(a)) subset(universal_set,complement(complement(u)))* -> . % 299.97/300.34 57118[16:Rew:54986.0,51168.0] || disjoint(u,successor(a)) subset(infinity,complement(complement(u)))* -> . % 299.97/300.34 57126[16:Rew:54986.0,51182.0] || member(successor(a),u) subset(universal_set,complement(sigma(u)))* -> . % 299.97/300.34 57127[16:Rew:54986.0,51180.0] || member(successor(a),u) subset(infinity,complement(sigma(u)))* -> . % 299.97/300.34 57168[16:Rew:54986.0,50631.0] || member(ordered_pair(powerset(a),a),u)* disjoint(u,f25) -> . % 299.97/300.34 57173[16:Rew:54986.0,50632.1] || member(f25,u) -> member(ordered_pair(powerset(a),a),sigma(u))*. % 299.97/300.34 57174[16:Rew:54986.0,50634.1] || subset(f25,powerset(u)) -> subset(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57175[16:Rew:54986.0,50633.1] || subset(universal_set,powerset(u)) -> subset(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57180[16:Rew:54986.0,50640.1] || subset(f25,singleton_set(u))* -> equal(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57181[16:Rew:54986.0,50638.1] || subset(universal_set,singleton_set(u))* -> equal(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57182[16:Rew:54986.0,50709.0] || subset(universal_set,image(u,cross_product(ordered_pair(powerset(a),a),v)))* -> . % 299.97/300.34 57183[16:Rew:54986.0,50710.0] || subset(f25,image(u,cross_product(ordered_pair(powerset(a),a),v)))* -> . % 299.97/300.34 57184[16:Rew:54986.0,50711.0] || subset(universal_set,image(intersection(ordered_pair(powerset(a),a),u),v))* -> . % 299.97/300.34 57185[16:Rew:54986.0,50712.0] || subset(f25,image(intersection(ordered_pair(powerset(a),a),u),v))* -> . % 299.97/300.34 57186[16:Rew:54986.0,50713.0] || subset(universal_set,image(restrict(ordered_pair(powerset(a),a),u),v))* -> . % 299.97/300.34 57187[16:Rew:54986.0,50714.0] || subset(f25,image(restrict(ordered_pair(powerset(a),a),u),v))* -> . % 299.97/300.34 57188[16:Rew:54986.0,50715.0] || subset(universal_set,image(intersection(u,ordered_pair(powerset(a),a)),v))* -> . % 299.97/300.34 57189[16:Rew:54986.0,50716.0] || subset(f25,image(intersection(u,ordered_pair(powerset(a),a)),v))* -> . % 299.97/300.34 57304[16:Rew:54986.0,50877.1] little_set(u) || subset(u,a) -> member(u,powerset(v))*. % 299.97/300.34 57328[16:Rew:54986.0,50609.1] || disjoint(u,complement(complement(powerset(v))))* -> member(a,complement(u)). % 299.97/300.34 58982[16:Rew:54986.0,57395.1] little_set(u) || maps(u,a,a)* -> closed(a,u). % 299.97/300.34 57631[16:Rew:54986.0,51428.1] || disjoint(u,powerset(v))* -> member(a,complement(complement(complement(u))))*. % 299.97/300.34 57720[16:Rew:54986.0,49103.1] || disjoint(u,restrict(u,v))* -> equal(restrict(u,v),a). % 299.97/300.34 57722[16:Rew:54986.0,50204.1] || disjoint(cross_product(u,universal_set),universal_set)* -> equal(restrict(v,u),a)**. % 299.97/300.34 57744[16:Rew:54986.0,50057.1] || member(u,complement(v)) member(u,union(v,a))* -> . % 299.97/300.34 57772[16:Rew:54986.0,49918.1] || member(u,complement(v)) member(u,union(a,v))* -> . % 299.97/300.34 57805[16:Rew:54986.0,50819.1] || subset(ordered_pair(universal_set,u),v)* member(a,complement(v)) -> . % 299.97/300.34 57810[16:Rew:54986.0,51485.1] || subset(ordered_pair(universal_set,u),v)* -> member(a,complement(complement(v))). % 299.97/300.34 57828[16:Rew:54986.0,50908.1] || member(u,v)* subset(v,a)* -> subset(u,w)*. % 299.97/300.34 57829[16:Rew:54986.0,50907.1] || member(u,v)* subset(v,a)* -> disjoint(u,w)*. % 299.97/300.34 57830[16:Rew:54986.0,50906.1] || member(u,v)* subset(v,a)* -> disjoint(w,u)*. % 299.97/300.34 57854[16:Rew:54986.0,49052.1] || disjoint(u,complement(complement(u)))* -> equal(complement(complement(u)),a). % 299.97/300.34 57856[16:Rew:54986.0,49347.1] || -> little_set(u) equal(non_ordered_pair(a,non_ordered_pair(u,v)),ordered_pair(u,v))**. % 299.97/300.34 57857[16:Rew:54986.0,49346.1] || -> ordered_pair_predicate(u) equal(non_ordered_pair(a,non_ordered_pair(u,v)),ordered_pair(u,v))**. % 299.97/300.34 58986[16:Rew:54986.0,57859.1] || -> equal(singleton_set(singleton_set(a)),a) member(a,sigma(singleton_set(singleton_set(a))))*. % 299.97/300.34 57868[16:Rew:54986.0,49758.1] || subset(universal_set,u) -> equal(v,a) member(f24(v),u)*. % 299.97/300.34 57873[16:Rew:54986.0,49763.1] || subset(universal_set,u)* -> equal(singleton_set(v),a) member(v,u)*. % 299.97/300.34 57874[16:Rew:54986.0,49807.1] || -> ordered_pair_predicate(singleton_set(u)) equal(apply_to_two_arguments(v,u,u),apply(v,a))**. % 299.97/300.34 58988[16:Rew:54986.0,57878.1] || -> member(a,intersection(universal_set,complement(u)))* member(a,union(a,u)). % 299.97/300.34 58989[16:Rew:54986.0,57890.1] || -> member(a,intersection(complement(u),universal_set))* member(a,union(u,a)). % 299.97/300.34 57902[16:Rew:54986.0,50101.1] || subset(universal_set,restrict(u,v))* -> member(a,cross_product(v,universal_set)). % 299.97/300.34 57903[16:Rew:54986.0,50097.1] || subset(infinity,restrict(u,v))* -> member(a,cross_product(v,universal_set)). % 299.97/300.34 58992[16:Rew:54986.0,57914.1] || -> equal(singleton_set(powerset(u)),a) member(a,sigma(singleton_set(powerset(u))))*. % 299.97/300.34 57918[16:Rew:54986.0,50845.1] || subset(ordered_pair(universal_set,u),v)* -> member(a,sigma(powerset(v))). % 299.97/300.34 57920[16:Rew:54986.0,50847.1] || equal(ordered_pair(universal_set,u),v)* -> member(a,sigma(singleton_set(v)))*. % 299.97/300.34 57922[16:Rew:54986.0,50975.1] || member(powerset(u),v)* -> member(a,complement(complement(sigma(v))))*. % 299.97/300.34 57924[16:Rew:54986.0,50977.1] || member(powerset(u),v)* member(a,complement(sigma(v)))* -> . % 299.97/300.34 57928[16:Rew:54986.0,50984.0] || -> equal(sigma(powerset(u)),a) member(f24(sigma(powerset(u))),u)*. % 299.97/300.34 57930[16:Rew:54986.0,50990.1] || disjoint(u,powerset(v))* -> member(a,complement(intersection(u,w)))*. % 299.97/300.34 57932[16:Rew:54986.0,50992.1] || disjoint(u,powerset(v))* member(a,intersection(u,w))* -> . % 299.97/300.34 57934[16:Rew:54986.0,50997.1] || disjoint(u,powerset(v))* -> member(a,complement(intersection(w,u)))*. % 299.97/300.34 57936[16:Rew:54986.0,50999.1] || disjoint(u,powerset(v))* member(a,intersection(w,u))* -> . % 299.97/300.34 57938[16:Rew:54986.0,51004.1] || disjoint(u,powerset(v))* -> member(a,complement(restrict(u,w)))*. % 299.97/300.34 57940[16:Rew:54986.0,51006.1] || disjoint(u,powerset(v))* member(a,restrict(u,w))* -> . % 299.97/300.34 58995[16:Rew:54986.0,57941.1] || -> equal(singleton_set(successor(a)),a) member(a,sigma(singleton_set(successor(a))))*. % 299.97/300.34 58998[16:Rew:54986.0,57945.1] || -> equal(singleton_set(sigma(infinity)),a) member(a,sigma(singleton_set(sigma(infinity))))*. % 299.97/300.34 57948[16:Rew:54986.0,51322.1] || -> single_valued_set(intersection(f25,u)) ordered_pair_predicate(ordered_pair(a,f21(intersection(f25,u))))*. % 299.97/300.34 57956[16:Rew:54986.0,51330.1] || -> single_valued_set(intersection(f25,u)) ordered_pair_predicate(ordered_pair(a,f20(intersection(f25,u))))*. % 299.97/300.34 57964[16:Rew:54986.0,51338.1] || -> single_valued_set(intersection(u,f25)) ordered_pair_predicate(ordered_pair(a,f21(intersection(u,f25))))*. % 299.97/300.34 57972[16:Rew:54986.0,51346.1] || -> single_valued_set(intersection(u,f25)) ordered_pair_predicate(ordered_pair(a,f20(intersection(u,f25))))*. % 299.97/300.34 57980[16:Rew:54986.0,51393.1] || -> single_valued_set(restrict(f25,u)) ordered_pair_predicate(ordered_pair(a,f21(restrict(f25,u))))*. % 299.97/300.34 57986[16:Rew:54986.0,51399.1] || -> single_valued_set(restrict(f25,u)) ordered_pair_predicate(ordered_pair(a,f20(restrict(f25,u))))*. % 299.97/300.34 57992[16:Rew:54986.0,51536.0] || -> member(a,sigma(complement(image(intersection(ordered_pair(universal_set,u),v),w))))*. % 299.97/300.34 57993[16:Rew:54986.0,51537.0] || -> member(a,sigma(complement(image(intersection(u,ordered_pair(universal_set,v)),w))))*. % 299.97/300.34 57994[16:Rew:54986.0,51538.0] || -> member(a,sigma(complement(image(restrict(ordered_pair(universal_set,u),v),w))))*. % 299.97/300.34 57995[16:Rew:54986.0,51539.0] || -> member(a,sigma(complement(image(u,cross_product(ordered_pair(universal_set,v),w)))))*. % 299.97/300.34 57996[16:Rew:54986.0,51540.0] || -> member(a,sigma(complement(powerset(u))))* subset(ordered_pair(universal_set,v),u)*. % 299.97/300.34 57997[16:Rew:54986.0,51541.0] || -> member(a,sigma(complement(singleton_set(u))))* equal(ordered_pair(universal_set,v),u)*. % 299.97/300.34 71680[16:EmS:10805.0,56195.2] ordered_pair_predicate(u) || equal(f26(u),universal_set)** -> equal(u,a). % 299.97/300.34 73289[17:Rew:73253.0,57046.1] || subset(universal_set,converse(u))* -> ordered_pair_predicate(ordered_pair(second(a),first(a)))*. % 299.97/300.34 73299[17:Rew:73253.0,57056.1] || subset(universal_set,image(u,cross_product(v,w)))* -> member(a,w). % 299.97/300.34 74821[16:Res:55695.1,54995.0] || subset(sigma(infinity),u) disjoint(sigma(powerset(u)),set_b)* -> . % 299.97/300.34 74823[16:Res:55695.1,1197.0] || subset(sigma(infinity),u) disjoint(sigma(powerset(u)),set_a)* -> . % 299.97/300.34 74837[16:Res:58899.1,54995.0] || subset(powerset(a),u) disjoint(sigma(powerset(u)),set_b)* -> . % 299.97/300.34 74839[16:Res:58899.1,1197.0] || subset(powerset(a),u) disjoint(sigma(powerset(u)),set_a)* -> . % 299.97/300.34 74865[16:Res:58900.1,54995.0] || subset(singleton_set(a),u) disjoint(sigma(powerset(u)),set_b)* -> . % 299.97/300.34 74867[16:Res:58900.1,1197.0] || subset(singleton_set(a),u) disjoint(sigma(powerset(u)),set_a)* -> . % 299.97/300.34 74947[16:Res:55798.1,54995.0] || equal(sigma(infinity),u) disjoint(sigma(singleton_set(u)),set_b)* -> . % 299.97/300.34 74949[16:Res:55798.1,1197.0] || equal(sigma(infinity),u) disjoint(sigma(singleton_set(u)),set_a)* -> . % 299.97/300.34 74969[16:Res:58901.1,54995.0] || equal(powerset(a),u) disjoint(sigma(singleton_set(u)),set_b)* -> . % 299.97/300.34 74971[16:Res:58901.1,1197.0] || equal(powerset(a),u) disjoint(sigma(singleton_set(u)),set_a)* -> . % 299.97/300.34 74991[16:Res:58902.1,54995.0] || equal(singleton_set(a),u) disjoint(sigma(singleton_set(u)),set_b)* -> . % 299.97/300.34 74993[16:Res:58902.1,1197.0] || equal(singleton_set(a),u) disjoint(sigma(singleton_set(u)),set_a)* -> . % 299.97/300.34 75015[16:Res:55841.1,54995.0] || subset(universal_set,powerset(u)) disjoint(complement(complement(u)),set_b)* -> . % 299.97/300.34 75017[16:Res:55841.1,1197.0] || subset(universal_set,powerset(u)) disjoint(complement(complement(u)),set_a)* -> . % 299.97/300.34 75183[16:Res:58909.1,54995.0] || equal(a,u) disjoint(complement(complement(singleton_set(u))),set_b)* -> . % 299.97/300.34 75185[16:Res:58909.1,1197.0] || equal(a,u) disjoint(complement(complement(singleton_set(u))),set_a)* -> . % 299.97/300.34 75838[0:Res:13861.1,12889.0] || disjoint(u,v)* disjoint(complement(u),universal_set)* -> single_valued_set(v). % 299.97/300.34 78622[16:Res:55074.1,56189.0] || -> equal(u,a) equal(f24(u),a) little_set(f26(f24(u)))*. % 299.97/300.34 82478[3:Res:82447.1,39682.0] || member(u,complement(singleton_set(u)))* -> member(infinity,complement(singleton_set(u)))*. % 299.97/300.34 82591[0:Obv:82558.1] || subset(u,v)* -> disjoint(singleton_set(w),u)* member(w,v)*. % 299.97/300.34 82660[3:Res:82575.0,20718.0] || -> member(u,complement(complement(singleton_set(u))))* member(infinity,complement(singleton_set(u))). % 299.97/300.34 82714[16:Res:82637.1,70.0] || equal(a,u) subset(set_b,v)* -> member(u,v)*. % 299.97/300.34 82731[16:Res:82637.1,257.0] || equal(f17(complement(set_b),u),a)** -> subset(complement(set_b),u). % 299.97/300.34 82732[16:Res:82637.1,256.0] || equal(f23(complement(set_b),u),a)** -> disjoint(complement(set_b),u). % 299.97/300.34 82745[16:Res:82637.1,260.0] || equal(f23(u,complement(set_b)),a)** -> disjoint(u,complement(set_b)). % 299.97/300.34 82867[3:Res:82638.1,70.0] || equal(a,u) subset(set_a,v)* -> member(u,v)*. % 299.97/300.34 82884[3:Res:82638.1,257.0] || equal(f17(complement(set_a),u),a)** -> subset(complement(set_a),u). % 299.97/300.34 82885[3:Res:82638.1,256.0] || equal(f23(complement(set_a),u),a)** -> disjoint(complement(set_a),u). % 299.97/300.34 82898[3:Res:82638.1,260.0] || equal(f23(u,complement(set_a)),a)** -> disjoint(u,complement(set_a)). % 299.97/300.34 83020[16:Res:82641.1,70.0] || equal(a,u) subset(infinity,v)* -> member(u,v)*. % 299.97/300.34 83038[16:Res:82641.1,257.0] || equal(f17(complement(infinity),u),a)** -> subset(complement(infinity),u). % 299.97/300.34 83039[16:Res:82641.1,256.0] || equal(f23(complement(infinity),u),a)** -> disjoint(complement(infinity),u). % 299.97/300.34 83052[16:Res:82641.1,260.0] || equal(f23(u,complement(infinity)),a)** -> disjoint(u,complement(infinity)). % 299.97/300.34 83217[0:Obv:83175.1] || subset(u,v)* -> disjoint(u,singleton_set(w))* member(w,v)*. % 299.97/300.34 83309[2:Res:83265.1,70.0] || equal(infinity,u) subset(universal_set,v)* -> member(u,v)*. % 299.97/300.34 83539[0:Res:13861.1,14568.0] || disjoint(u,v) disjoint(complement(u),v)* -> single_valued_set(v). % 299.97/300.34 83565[16:Res:83499.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(powerset(v))))* -> . % 299.97/300.34 83566[16:Res:83499.0,68.0] || member(complement(singleton_set(powerset(u))),v)* -> member(a,sigma(v)). % 299.97/300.34 83589[16:MRR:59350.1,83558.0] || member(complement(f24(powerset(u))),v)* -> member(a,sigma(v)). % 299.97/300.34 83590[16:MRR:59373.1,83558.0] || equal(powerset(u),singleton_set(a)) -> subset(f26(powerset(u)),u)*. % 299.97/300.34 83591[16:MRR:59385.1,83558.0] || equal(powerset(a),powerset(u)) -> subset(f26(powerset(u)),u)*. % 299.97/300.34 83592[16:MRR:57641.1,83558.0] || equal(powerset(u),sigma(infinity)) -> subset(f26(powerset(u)),u)*. % 299.97/300.34 83607[16:MRR:59356.2,83558.0] || member(a,u) disjoint(u,complement(f24(powerset(v))))* -> . % 299.97/300.34 83613[16:MRR:59463.1,83558.0] || member(singleton_set(singleton_set(a)),f1(powerset(cross_product(set_a,set_b)),a))* -> . % 299.97/300.34 83614[16:MRR:59465.1,83558.0] || member(singleton_set(singleton_set(a)),f1(a,powerset(cross_product(set_a,set_b))))* -> . % 299.97/300.34 83806[16:Res:83500.0,70.0] || subset(complement(singleton_set(ordered_pair(universal_set,u))),v)* -> member(a,v). % 299.97/300.34 83856[16:Res:83818.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(singleton_set(a))))* -> . % 299.97/300.34 83857[16:Res:83818.0,68.0] || member(complement(singleton_set(singleton_set(a))),u)* -> member(a,sigma(u)). % 299.97/300.34 84092[7:Res:26333.1,25433.0] || subset(universal_set,image(u,v))* subset(u,sigma(infinity)) -> . % 299.97/300.34 84099[16:Res:56369.1,25433.0] || subset(universal_set,image(u,v))* subset(u,singleton_set(a)) -> . % 299.97/300.34 84103[16:Res:56731.1,25433.0] || subset(universal_set,image(u,v))* subset(u,powerset(a)) -> . % 299.97/300.34 84257[0:SpL:122.0,25497.0] || member(u,apply_to_two_arguments(v,w,x))* disjoint(v,v)* -> . % 299.97/300.34 86663[16:Res:83815.0,70.0] || subset(complement(f24(ordered_pair(universal_set,u))),v)* -> member(a,v). % 299.97/300.34 86682[16:Res:86671.0,98.0] || member(a,u) disjoint(u,complement(f24(singleton_set(a))))* -> . % 299.97/300.34 86683[16:Res:86671.0,68.0] || member(complement(f24(singleton_set(a))),u)* -> member(a,sigma(u)). % 299.97/300.34 86867[16:Res:82653.1,56194.0] || equal(powerset(a),u) -> equal(u,a) ordered_pair_predicate(f26(u))*. % 299.97/300.34 86868[16:Res:82653.1,56189.0] || equal(powerset(a),u) -> equal(u,a) little_set(f26(u))*. % 299.97/300.34 87053[16:Res:82654.1,56194.0] || equal(singleton_set(a),u) -> equal(u,a) ordered_pair_predicate(f26(u))*. % 299.97/300.34 87054[16:Res:82654.1,56189.0] || equal(singleton_set(a),u) -> equal(u,a) little_set(f26(u))*. % 299.97/300.34 87240[16:Res:82656.1,56194.0] || equal(sigma(infinity),u) -> equal(u,a) ordered_pair_predicate(f26(u))*. % 299.97/300.34 87241[16:Res:82656.1,56189.0] || equal(sigma(infinity),u) -> equal(u,a) little_set(f26(u))*. % 299.97/300.34 87622[16:Res:82665.1,72.0] || equal(f17(u,sigma(infinity)),a)** -> subset(u,sigma(infinity)). % 299.97/300.34 87776[16:Res:82681.1,72.0] || equal(f17(u,successor(a)),a)** -> subset(u,successor(a)). % 299.97/300.34 88055[2:Res:13860.1,4259.0] || disjoint(universal_set,f1(powerset(u),universal_set))* -> equal(powerset(u),universal_set). % 299.97/300.34 88056[0:Res:1513.1,4259.0] || disjoint(f1(powerset(u),universal_set),universal_set)* -> equal(powerset(u),universal_set). % 299.97/300.34 88103[16:Res:82671.1,55177.0] || equal(sigma(infinity),infinity) -> member(a,sigma(singleton_set(sigma(infinity))))*. % 299.97/300.34 88104[16:Res:82671.1,58845.0] || equal(singleton_set(a),infinity) -> member(a,sigma(singleton_set(singleton_set(a))))*. % 299.97/300.34 88105[16:Res:82671.1,58846.0] || equal(successor(a),infinity) -> member(a,sigma(singleton_set(successor(a))))*. % 299.97/300.34 88110[16:Res:82671.1,55400.0] || equal(powerset(u),infinity) -> member(a,sigma(singleton_set(powerset(u))))*. % 299.97/300.34 88217[16:Res:82637.1,58983.0] || equal(f1(complement(set_b),a),a)** -> equal(complement(set_b),a). % 299.97/300.34 88218[16:Res:82638.1,58983.0] || equal(f1(complement(set_a),a),a)** -> equal(complement(set_a),a). % 299.97/300.34 88297[16:Res:82637.1,58984.0] || equal(f1(a,complement(set_b)),a)** -> equal(complement(set_b),a). % 299.97/300.34 88298[16:Res:82638.1,58984.0] || equal(f1(a,complement(set_a)),a)** -> equal(complement(set_a),a). % 299.97/300.34 88329[16:SpR:57402.0,88326.1] || -> member(infinity,intersection(complement(u),universal_set))* member(infinity,union(u,a)). % 299.97/300.34 88330[16:SpR:57520.0,88326.1] || -> member(infinity,intersection(universal_set,complement(u)))* member(infinity,union(a,u)). % 299.97/300.34 88341[3:Res:88326.1,70.0] || subset(complement(u),v)* -> member(infinity,u) member(infinity,v). % 299.97/300.34 88466[16:Res:88372.0,14568.0] || disjoint(u,v)* -> member(a,complement(singleton_set(v)))* single_valued_set(v). % 299.97/300.34 88467[16:Res:88372.0,12889.0] || disjoint(u,universal_set)* -> member(a,complement(singleton_set(v)))* single_valued_set(v). % 299.97/300.34 88470[16:Res:88372.0,58999.0] || member(singleton_set(singleton_set(a)),u)* -> member(a,complement(singleton_set(u))). % 299.97/300.34 89015[16:Res:88799.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(sigma(infinity))))* -> . % 299.97/300.34 89016[16:Res:88799.0,68.0] || member(complement(singleton_set(sigma(infinity))),u)* -> member(a,sigma(u)). % 299.97/300.34 89035[16:Res:88801.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(successor(a))))* -> . % 299.97/300.34 89036[16:Res:88801.0,68.0] || member(complement(singleton_set(successor(a))),u)* -> member(a,sigma(u)). % 299.97/300.34 89810[16:Rew:55534.0,89802.2] || equal(f17(u,a),v)* -> ordered_pair_predicate(v)* subset(u,a). % 299.97/300.34 89811[16:Rew:55533.0,89803.2] || equal(f17(u,a),v)* -> little_set(v)* subset(u,a). % 299.97/300.34 91677[16:Res:88690.1,4259.0] || equal(f1(powerset(u),universal_set),a)** -> equal(powerset(u),universal_set). % 299.97/300.34 91773[16:Res:88690.1,684.0] || equal(f17(u,powerset(v)),a)** -> subset(u,powerset(v)). % 299.97/300.34 91902[16:Con:91770.3] little_set(u) || equal(complement(v),a) -> member(u,v)*. % 299.97/300.34 92294[16:Res:91847.1,1503.1] || equal(f4(u,v),a) member(u,first(v))* -> . % 299.97/300.34 92295[16:Res:91847.1,1502.1] || equal(f7(u,v),a) member(u,second(v))* -> . % 299.97/300.34 92296[16:Res:91847.1,1501.1] || equal(f16(u,v),a) member(u,sigma(v))* -> . % 299.97/300.34 92451[16:Res:91847.1,14482.1] || equal(sigma(u),a) member(v,u)* -> single_valued_set(v). % 299.97/300.34 92549[0:SpL:113.0,19261.0] || member(u,sigma(restrict(v,w)))* -> member(u,sigma(v)). % 299.97/300.34 92555[16:Res:55173.1,19261.0] || disjoint(complement(intersection(u,v)),universal_set)* -> member(a,sigma(u)). % 299.97/300.34 92556[16:Res:55172.1,19261.0] || disjoint(universal_set,complement(intersection(u,v)))* -> member(a,sigma(u)). % 299.97/300.34 92757[16:Res:55173.1,19263.0] || disjoint(complement(intersection(u,v)),universal_set)* -> member(a,sigma(v)). % 299.97/300.34 92758[16:Res:55172.1,19263.0] || disjoint(universal_set,complement(intersection(u,v)))* -> member(a,sigma(v)). % 299.97/300.34 92975[7:Res:33376.1,26939.1] || member(universal_set,powerset(image(u,v)))* member(u,infinity) -> . % 299.97/300.34 92976[7:Res:26831.1,26939.1] || disjoint(complement(image(u,v)),universal_set)* member(u,infinity) -> . % 299.97/300.34 92977[7:Res:26830.1,26939.1] || disjoint(universal_set,complement(image(u,v)))* member(u,infinity) -> . % 299.97/300.34 93016[16:Res:83576.0,56181.0] || disjoint(u,f24(powerset(u)))* -> equal(f24(powerset(u)),a). % 299.97/300.34 93063[16:MRR:93010.2,83797.0] || subset(universal_set,powerset(u)) disjoint(u,ordered_pair(universal_set,v))* -> . % 299.97/300.34 93105[16:Res:92484.0,56180.0] || disjoint(u,universal_set) -> equal(f24(complement(complement(powerset(u)))),a)**. % 299.97/300.34 93246[16:SpR:36.0,93157.0] || -> equal(intersection(union(u,v),intersection(complement(u),complement(v))),a)**. % 299.97/300.34 94028[16:SpR:36.0,93945.0] || -> equal(intersection(intersection(complement(u),complement(v)),union(u,v)),a)**. % 299.97/300.34 94463[16:Res:92484.0,14041.0] || disjoint(u,v) -> disjoint(f24(complement(complement(powerset(u)))),v)*. % 299.97/300.34 94793[16:Res:92484.0,14151.0] || disjoint(u,v) -> disjoint(v,f24(complement(complement(powerset(u)))))*. % 299.97/300.34 94834[16:Res:91681.1,42.0] || equal(complement(cross_product(u,v)),a)** -> member(first(infinity),u). % 299.97/300.34 94835[16:Res:91681.1,43.0] || equal(complement(cross_product(u,v)),a)** -> member(second(infinity),v). % 299.97/300.34 94861[16:Res:91681.1,560.0] || equal(complement(domain_of(cross_product(u,v))),a)** -> member(infinity,u). % 299.97/300.34 94863[16:Res:91681.1,547.0] || equal(complement(range_of(cross_product(u,v))),a)** -> member(infinity,v). % 299.97/300.34 94875[16:Res:91681.1,25433.0] || equal(complement(image(u,v)),a)** subset(u,infinity) -> . % 299.97/300.34 95326[16:Res:92031.1,58906.1] || equal(complement(complement(singleton_set(u))),a)** equal(a,u) -> . % 299.97/300.34 95348[16:Res:92031.1,57797.0] || equal(complement(intersection(intersection(universal_set,complement(singleton_set(a))),u)),a)** -> . % 299.97/300.34 95349[16:Res:92031.1,57798.0] || equal(complement(intersection(u,intersection(universal_set,complement(singleton_set(a))))),a)** -> . % 299.97/300.34 95350[16:Res:92031.1,57799.0] || equal(complement(restrict(intersection(universal_set,complement(singleton_set(a))),u)),a)** -> . % 299.97/300.34 95362[16:Res:92031.1,42.0] || equal(complement(cross_product(u,v)),a)** -> member(first(a),u). % 299.97/300.34 95363[16:Res:92031.1,43.0] || equal(complement(cross_product(u,v)),a)** -> member(second(a),v). % 299.97/300.34 95389[16:Res:92031.1,560.0] || equal(complement(domain_of(cross_product(u,v))),a)** -> member(a,u). % 299.97/300.34 95391[16:Res:92031.1,547.0] || equal(complement(range_of(cross_product(u,v))),a)** -> member(a,v). % 299.97/300.34 95583[16:SpR:92193.1,11841.0] || equal(cross_product(u,universal_set),a) -> disjoint(restrict(v,u),universal_set)*. % 299.97/300.34 95584[16:SpR:92193.1,11996.0] || equal(cross_product(u,universal_set),a) -> disjoint(universal_set,restrict(v,u))*. % 299.97/300.34 96079[16:Rew:57520.0,95478.1] || equal(a,u) -> equal(union(a,v),union(u,v))*. % 299.97/300.34 96082[16:Rew:57402.0,95544.1] || equal(a,u) -> equal(union(v,a),union(v,u))*. % 299.97/300.34 96215[16:SpR:92193.1,93164.0] || equal(cross_product(u,universal_set),a) -> equal(restrict(universal_set,u),a)**. % 299.97/300.34 96275[16:Res:55841.1,92502.1] || subset(universal_set,powerset(u))* equal(complement(complement(u)),a) -> . % 299.97/300.34 96370[16:Res:954.2,92502.1] || subset(u,v)* equal(a,v) -> disjoint(u,w)*. % 299.97/300.34 96372[16:Res:961.2,92502.1] || subset(u,v)* equal(a,v) -> disjoint(w,u)*. % 299.97/300.34 96375[16:Res:955.2,92502.1] || subset(u,v)* equal(a,v) -> subset(u,w)*. % 299.97/300.34 96396[16:Res:55065.2,92502.1] || subset(u,v)* equal(a,v) -> equal(u,a). % 299.97/300.34 96513[16:Res:58902.1,92502.1] || equal(singleton_set(a),u) equal(sigma(singleton_set(u)),a)** -> . % 299.97/300.34 96514[16:Res:58901.1,92502.1] || equal(powerset(a),u) equal(sigma(singleton_set(u)),a)** -> . % 299.97/300.34 96515[16:Res:55798.1,92502.1] || equal(sigma(infinity),u) equal(sigma(singleton_set(u)),a)** -> . % 299.97/300.34 96516[16:Res:58900.1,92502.1] || subset(singleton_set(a),u)* equal(sigma(powerset(u)),a) -> . % 299.97/300.34 96517[16:Res:58899.1,92502.1] || subset(powerset(a),u)* equal(sigma(powerset(u)),a) -> . % 299.97/300.34 96518[16:Res:55695.1,92502.1] || subset(sigma(infinity),u)* equal(sigma(powerset(u)),a) -> . % 299.97/300.34 97284[18:Res:97269.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(singleton_set(infinity))))* -> . % 299.97/300.34 97285[18:Res:97269.0,68.0] || member(complement(singleton_set(singleton_set(infinity))),u)* -> member(a,sigma(u)). % 299.97/300.34 97819[16:Res:55181.1,2938.0] || subset(infinity,singleton_set(u)) -> equal(f16(a,singleton_set(u)),u)**. % 299.97/300.34 97820[16:Res:55180.1,2938.0] || subset(universal_set,singleton_set(u)) -> equal(f16(a,singleton_set(u)),u)**. % 299.97/300.34 97821[16:Res:55009.1,2938.0] || member(set_b,singleton_set(u)) -> equal(f16(a,singleton_set(u)),u)**. % 299.97/300.34 97822[16:Res:55007.1,2938.0] || member(infinity,singleton_set(u)) -> equal(f16(a,singleton_set(u)),u)**. % 299.97/300.34 97823[0:Res:1134.1,2938.0] || member(set_a,singleton_set(u)) -> equal(f16(a,singleton_set(u)),u)**. % 299.97/300.34 97987[16:Res:58902.1,2938.0] || equal(singleton_set(a),u) -> equal(f16(a,singleton_set(u)),u)**. % 299.97/300.34 97988[16:Res:58901.1,2938.0] || equal(powerset(a),u) -> equal(f16(a,singleton_set(u)),u)**. % 299.97/300.34 97989[16:Res:55798.1,2938.0] || equal(sigma(infinity),u) -> equal(f16(a,singleton_set(u)),u)**. % 299.97/300.34 98320[0:Obv:98295.1] || member(u,complement(singleton_set(u)))* -> subset(v,complement(singleton_set(u)))*. % 299.97/300.34 98326[0:Obv:98284.0] || -> subset(cross_product(u,v),complement(singleton_set(w)))* member(second(w),v). % 299.97/300.34 98327[0:Obv:98285.0] || -> subset(cross_product(u,v),complement(singleton_set(w)))* member(first(w),u). % 299.97/300.34 98894[16:Res:98596.1,57812.0] || equal(complement(f25),a) -> single_valued_set(universal_set) equal(f19(universal_set),a)**. % 299.97/300.34 98914[16:Res:98596.1,43615.0] || equal(complement(singleton_set(u)),a)** -> equal(ordered_pair(universal_set,v),u)*. % 299.97/300.34 98919[16:Res:98596.1,5830.1] ordered_pair_predicate(u) || equal(complement(v),a) -> member(u,v)*. % 299.97/300.34 98921[16:Res:98596.1,56717.0] || equal(complement(complement(u)),a) member(powerset(a),u)* -> . % 299.97/300.34 98922[16:Res:98596.1,56357.0] || equal(complement(complement(u)),a) member(singleton_set(a),u)* -> . % 299.97/300.34 98924[16:Res:98596.1,26418.0] || equal(complement(complement(u)),a) member(sigma(infinity),u)* -> . % 299.97/300.34 98927[16:Res:98596.1,26435.0] || equal(complement(restrict(u,v)),a)** -> member(sigma(infinity),u). % 299.97/300.34 98931[16:Res:98596.1,26429.0] || equal(complement(intersection(u,v)),a)** -> member(sigma(infinity),v). % 299.97/300.34 98932[16:Res:98596.1,26428.0] || equal(complement(intersection(u,v)),a)** -> member(sigma(infinity),u). % 299.97/300.34 98936[16:Res:98596.1,57330.0] || equal(complement(powerset(u)),a) member(a,complement(u))* -> . % 299.97/300.34 98939[16:Res:98596.1,34376.0] || equal(complement(powerset(u)),a) subset(universal_set,complement(u))* -> . % 299.97/300.34 98948[16:Res:98596.1,43640.0] || equal(complement(image(u,cross_product(ordered_pair(universal_set,v),w))),a)** -> . % 299.97/300.34 98959[16:Res:98596.1,43636.0] || equal(complement(image(intersection(ordered_pair(universal_set,u),v),w)),a)** -> . % 299.97/300.34 98960[16:Res:98596.1,43637.0] || equal(complement(image(intersection(u,ordered_pair(universal_set,v)),w)),a)** -> . % 299.97/300.34 98961[16:Res:98596.1,43638.0] || equal(complement(image(restrict(ordered_pair(universal_set,u),v),w)),a)** -> . % 299.97/300.34 98971[16:Res:98596.1,56719.0] || equal(complement(sigma(powerset(u))),a)** -> member(powerset(a),u). % 299.97/300.34 98972[16:Res:98596.1,56359.0] || equal(complement(sigma(powerset(u))),a)** -> member(singleton_set(a),u). % 299.97/300.34 98974[16:Res:98596.1,26433.0] || equal(complement(sigma(powerset(u))),a)** -> member(sigma(infinity),u). % 299.97/300.34 98978[16:Res:98596.1,57171.0] || equal(complement(range_of(cross_product(ordered_pair(powerset(a),a),u))),a)** -> . % 299.97/300.34 98982[16:Res:98596.1,56718.0] || equal(complement(complement(complement(u))),a)** -> member(powerset(a),u). % 299.97/300.34 98983[16:Res:98596.1,56358.0] || equal(complement(complement(complement(u))),a)** -> member(singleton_set(a),u). % 299.97/300.34 98985[16:Res:98596.1,26419.0] || equal(complement(complement(complement(u))),a)** -> member(sigma(infinity),u). % 299.97/300.34 99141[16:Res:58909.1,98786.1] || equal(a,u) disjoint(set_b,complement(complement(singleton_set(u))))* -> . % 299.97/300.34 99144[16:Res:55841.1,98786.1] || subset(universal_set,powerset(u)) disjoint(set_b,complement(complement(u)))* -> . % 299.97/300.34 99191[16:Res:26.1,98786.1] || member(a,second(u)) disjoint(set_b,f7(a,u))* -> . % 299.97/300.34 99192[16:Res:21.1,98786.1] || member(a,first(u)) disjoint(set_b,f4(a,u))* -> . % 299.97/300.34 99193[16:Res:67.1,98786.1] || member(a,sigma(u)) disjoint(set_b,f16(a,u))* -> . % 299.97/300.34 99215[16:Res:58902.1,98786.1] || equal(singleton_set(a),u) disjoint(set_b,sigma(singleton_set(u)))* -> . % 299.97/300.34 99216[16:Res:58901.1,98786.1] || equal(powerset(a),u) disjoint(set_b,sigma(singleton_set(u)))* -> . % 299.97/300.34 99217[16:Res:55798.1,98786.1] || equal(sigma(infinity),u) disjoint(set_b,sigma(singleton_set(u)))* -> . % 299.97/300.34 99218[16:Res:58900.1,98786.1] || subset(singleton_set(a),u) disjoint(set_b,sigma(powerset(u)))* -> . % 299.97/300.34 99219[16:Res:58899.1,98786.1] || subset(powerset(a),u) disjoint(set_b,sigma(powerset(u)))* -> . % 299.97/300.34 99220[16:Res:55695.1,98786.1] || subset(sigma(infinity),u) disjoint(set_b,sigma(powerset(u)))* -> . % 299.97/300.34 99233[16:SSi:99195.0,159.0,991.0,55026.0] || equal(singleton_set(u),a) disjoint(set_b,ordered_pair(u,v))* -> . % 299.97/300.34 99437[16:SSi:99310.0,26330.0,69.0,63.1,15957.0] || -> member(sigma(infinity),converse(u)) member(a,sigma(converse(complement(u))))*. % 299.97/300.34 99438[16:SSi:99314.0,55031.0,150.0,159.0,991.0,55026.0] || -> member(singleton_set(a),converse(u)) member(a,sigma(converse(complement(u))))*. % 299.97/300.34 100034[16:Res:59019.2,17597.0] || subset(u,image(f1(u,a),v))* -> equal(u,a). % 299.97/300.34 100036[16:Res:59019.2,17668.0] || subset(u,apply(v,f1(u,a)))* -> equal(u,a). % 299.97/300.34 100102[0:Res:98305.0,14568.0] || disjoint(complement(singleton_set(u)),v)* -> member(u,v) single_valued_set(v). % 299.97/300.34 100103[0:Res:98305.0,12889.0] || disjoint(complement(singleton_set(u)),universal_set)* -> member(u,v)* single_valued_set(v). % 299.97/300.34 100144[16:Res:98305.0,58892.0] || -> member(u,complement(complement(singleton_set(a))))* member(a,complement(singleton_set(u))). % 299.97/300.34 100145[16:Res:98305.0,57329.0] || member(a,complement(complement(singleton_set(u))))* -> member(u,sigma(infinity)). % 299.97/300.34 100147[7:Res:98305.0,32874.0] || subset(infinity,complement(complement(singleton_set(u))))* -> member(u,sigma(infinity)). % 299.97/300.34 100148[7:Res:98305.0,32669.0] || subset(universal_set,complement(complement(singleton_set(u))))* -> member(u,sigma(infinity)). % 299.97/300.34 100151[16:Res:98305.0,56332.0] || subset(infinity,complement(complement(singleton_set(u))))* -> member(u,singleton_set(a)). % 299.97/300.34 100152[16:Res:98305.0,56331.0] || subset(universal_set,complement(complement(singleton_set(u))))* -> member(u,singleton_set(a)). % 299.97/300.34 100153[16:Res:98305.0,58911.0] || member(a,complement(complement(singleton_set(u))))* -> member(u,singleton_set(a)). % 299.97/300.34 100156[16:Res:98305.0,57105.0] || subset(infinity,complement(complement(singleton_set(u))))* -> member(u,successor(a)). % 299.97/300.34 100157[16:Res:98305.0,57104.0] || subset(universal_set,complement(complement(singleton_set(u))))* -> member(u,successor(a)). % 299.97/300.34 100158[16:Res:98305.0,58919.0] || member(a,complement(complement(singleton_set(u))))* -> member(u,successor(a)). % 299.97/300.34 100192[16:Res:98305.0,58917.0] || subset(powerset(complement(singleton_set(u))),a)* -> member(u,powerset(a)). % 299.97/300.34 100448[16:MRR:100415.1,55129.0] || subset(universal_set,powerset(singleton_set(u)))* -> equal(f24(sigma(infinity)),u). % 299.97/300.34 100524[16:MRR:100513.1,96489.1] || member(f24(sigma(u)),u)* -> equal(f24(sigma(u)),a). % 299.97/300.34 100530[16:Obv:100520.1] || member(singleton_set(sigma(u)),u)* -> equal(singleton_set(sigma(u)),a). % 299.97/300.34 100647[16:Res:59021.2,17597.0] || subset(u,image(f1(a,u),v))* -> equal(a,u). % 299.97/300.34 100649[16:Res:59021.2,17668.0] || subset(u,apply(v,f1(a,u)))* -> equal(a,u). % 299.97/300.34 100969[16:Res:59050.1,6160.0] || -> equal(intersection(u,v),a) ordered_pair_predicate(f1(a,intersection(u,v)))*. % 299.97/300.34 101422[16:Res:58909.1,101072.1] || equal(a,u) disjoint(set_a,complement(complement(singleton_set(u))))* -> . % 299.97/300.34 101425[16:Res:55841.1,101072.1] || subset(universal_set,powerset(u)) disjoint(set_a,complement(complement(u)))* -> . % 299.97/300.34 101473[16:Res:26.1,101072.1] || member(a,second(u)) disjoint(set_a,f7(a,u))* -> . % 299.97/300.34 101474[16:Res:21.1,101072.1] || member(a,first(u)) disjoint(set_a,f4(a,u))* -> . % 299.97/300.34 101475[16:Res:67.1,101072.1] || member(a,sigma(u)) disjoint(set_a,f16(a,u))* -> . % 299.97/300.34 101497[16:Res:58902.1,101072.1] || equal(singleton_set(a),u) disjoint(set_a,sigma(singleton_set(u)))* -> . % 299.97/300.34 101498[16:Res:58901.1,101072.1] || equal(powerset(a),u) disjoint(set_a,sigma(singleton_set(u)))* -> . % 299.97/300.34 101499[16:Res:55798.1,101072.1] || equal(sigma(infinity),u) disjoint(set_a,sigma(singleton_set(u)))* -> . % 299.97/300.34 101500[16:Res:58900.1,101072.1] || subset(singleton_set(a),u) disjoint(set_a,sigma(powerset(u)))* -> . % 299.97/300.34 101501[16:Res:58899.1,101072.1] || subset(powerset(a),u) disjoint(set_a,sigma(powerset(u)))* -> . % 299.97/300.34 101502[16:Res:55695.1,101072.1] || subset(sigma(infinity),u) disjoint(set_a,sigma(powerset(u)))* -> . % 299.97/300.34 101518[16:SSi:101477.0,159.0,991.0,55026.0] || equal(singleton_set(u),a) disjoint(set_a,ordered_pair(u,v))* -> . % 299.97/300.34 101562[16:Res:59053.1,6160.0] || -> equal(restrict(u,v),a) ordered_pair_predicate(f1(a,restrict(u,v)))*. % 299.97/300.34 101747[16:Res:57867.1,17597.0] || disjoint(complement(image(f24(u),v)),u)* -> equal(u,a). % 299.97/300.34 101749[16:Res:57867.1,17668.0] || disjoint(complement(apply(u,f24(v))),v)* -> equal(v,a). % 299.97/300.34 101779[16:MRR:101682.2,92034.0] || disjoint(complement(u),complement(complement(powerset(a))))* -> member(a,u). % 299.97/300.34 101836[0:Res:3813.2,1238.0] || disjoint(u,universal_set)* disjoint(v,universal_set)* -> equal(v,u)*. % 299.97/300.34 101911[16:Res:3813.2,92502.1] || disjoint(u,universal_set)* equal(a,v)* -> equal(v,u)*. % 299.97/300.34 102553[16:Res:58909.1,102359.1] || equal(a,u) disjoint(infinity,complement(complement(singleton_set(u))))* -> . % 299.97/300.34 102556[16:Res:55841.1,102359.1] || subset(universal_set,powerset(u)) disjoint(infinity,complement(complement(u)))* -> . % 299.97/300.34 102604[16:Res:26.1,102359.1] || member(a,second(u)) disjoint(infinity,f7(a,u))* -> . % 299.97/300.34 102605[16:Res:21.1,102359.1] || member(a,first(u)) disjoint(infinity,f4(a,u))* -> . % 299.97/300.34 102606[16:Res:67.1,102359.1] || member(a,sigma(u)) disjoint(infinity,f16(a,u))* -> . % 299.97/300.34 102628[16:Res:58902.1,102359.1] || equal(singleton_set(a),u) disjoint(infinity,sigma(singleton_set(u)))* -> . % 299.97/300.34 102629[16:Res:58901.1,102359.1] || equal(powerset(a),u) disjoint(infinity,sigma(singleton_set(u)))* -> . % 299.97/300.34 102630[16:Res:55798.1,102359.1] || equal(sigma(infinity),u) disjoint(infinity,sigma(singleton_set(u)))* -> . % 299.97/300.34 102631[16:Res:58900.1,102359.1] || subset(singleton_set(a),u) disjoint(infinity,sigma(powerset(u)))* -> . % 299.97/300.34 102632[16:Res:58899.1,102359.1] || subset(powerset(a),u) disjoint(infinity,sigma(powerset(u)))* -> . % 299.97/300.34 102633[16:Res:55695.1,102359.1] || subset(sigma(infinity),u) disjoint(infinity,sigma(powerset(u)))* -> . % 299.97/300.34 102649[16:SSi:102608.0,159.0,991.0,55026.0] || equal(singleton_set(u),a) disjoint(infinity,ordered_pair(u,v))* -> . % 299.97/300.34 103097[3:Res:13975.1,88257.1] || member(singleton_set(infinity),u) member(infinity,complement(sigma(u)))* -> . % 299.97/300.34 103104[16:Res:55530.1,88257.1] || member(infinity,singleton_set(singleton_set(infinity)))* -> equal(singleton_set(singleton_set(infinity)),a). % 299.97/300.34 103106[3:Res:17151.1,88257.1] || disjoint(u,singleton_set(infinity)) member(infinity,restrict(u,v))* -> . % 299.97/300.34 103108[3:Res:14040.1,88257.1] || disjoint(u,singleton_set(infinity)) member(infinity,intersection(u,v))* -> . % 299.97/300.34 103109[3:Res:14043.1,88257.1] || disjoint(u,singleton_set(infinity)) member(infinity,intersection(v,u))* -> . % 299.97/300.34 103206[3:Res:82671.1,88258.0] || equal(singleton_set(infinity),infinity) -> member(infinity,sigma(singleton_set(singleton_set(infinity))))*. % 299.97/300.34 103207[16:Res:55527.1,88258.0] || -> equal(singleton_set(singleton_set(infinity)),a) member(infinity,sigma(singleton_set(singleton_set(infinity))))*. % 299.97/300.34 103239[3:SSi:103188.0,150.0,63.0,15957.0] || equal(singleton_set(infinity),u) -> member(infinity,sigma(non_ordered_pair(u,v)))*. % 299.97/300.34 103240[3:SSi:103189.0,150.0,63.0,15957.0] || equal(singleton_set(infinity),u) -> member(infinity,sigma(non_ordered_pair(v,u)))*. % 299.97/300.34 103241[3:SSi:103198.0,5742.0,150.0,63.0,15957.1] || -> member(singleton_set(infinity),converse(u)) member(infinity,sigma(converse(complement(u))))*. % 299.97/300.34 103270[3:Res:88325.1,20309.0] || disjoint(u,singleton_set(infinity)) disjoint(complement(u),complement(u))* -> . % 299.97/300.34 103401[16:Res:103383.0,70.0] || subset(complement(singleton_set(complement(singleton_set(infinity)))),u)* -> member(a,u). % 299.97/300.34 104225[16:Res:104206.0,70.0] || subset(complement(singleton_set(complement(singleton_set(set_b)))),u)* -> member(a,u). % 299.97/300.34 104536[0:SpR:60.0,18826.1] little_set(u) || -> member(u,successor(v))* member(u,complement(v)). % 299.97/300.34 104701[16:SSi:104582.0,26330.0,69.0,63.1,15957.0] || -> member(sigma(infinity),complement(u)) member(a,sigma(union(u,v)))*. % 299.97/300.34 104702[16:SSi:104586.0,55031.0,150.0,159.0,991.0,55026.0] || -> member(singleton_set(a),complement(u)) member(a,sigma(union(u,v)))*. % 299.97/300.34 104703[3:SSi:104587.0,150.0,63.0,15957.0] || -> member(singleton_set(infinity),complement(u)) member(infinity,sigma(union(u,v)))*. % 299.97/300.34 105047[16:SSi:104926.0,26330.0,69.0,63.1,15957.0] || -> member(sigma(infinity),complement(u)) member(a,sigma(union(v,u)))*. % 299.97/300.34 105048[16:SSi:104930.0,55031.0,150.0,159.0,991.0,55026.0] || -> member(singleton_set(a),complement(u)) member(a,sigma(union(v,u)))*. % 299.97/300.34 105049[3:SSi:104931.0,150.0,63.0,15957.0] || -> member(singleton_set(infinity),complement(u)) member(infinity,sigma(union(v,u)))*. % 299.97/300.34 105488[16:Res:105469.0,70.0] || subset(complement(singleton_set(complement(singleton_set(set_a)))),u)* -> member(a,u). % 299.97/300.34 293[0:Res:71.1,282.0] || -> subset(restrict(u,v),w) member(f17(restrict(u,v),w),u)*. % 299.97/300.34 292[0:Res:99.1,282.0] || -> disjoint(restrict(u,v),w) member(f23(restrict(u,v),w),u)*. % 299.97/300.34 296[0:Res:100.1,282.0] || -> disjoint(u,restrict(v,w)) member(f23(u,restrict(v,w)),v)*. % 299.97/300.34 3067[3:SpL:13.0,1418.1] || equal(non_ordered_pair(u,v),a) disjoint(ordered_pair(u,v),set_a)* -> . % 299.97/300.34 5398[0:Res:4258.0,76.0] || -> equal(complement(powerset(u)),universal_set) subset(f1(complement(powerset(u)),universal_set),u)*. % 299.97/300.34 5399[0:Res:4258.0,1444.0] || -> equal(complement(singleton_set(u)),universal_set) equal(f1(complement(singleton_set(u)),universal_set),u)**. % 299.97/300.34 10784[2:Rew:5392.0,2755.1] little_set(complement(estin)) || -> member(universal_set,u) member(a,sigma(complement(u)))*. % 299.97/300.34 10891[6:EmS:10806.0,97.2] little_set(u) function(v) || equal(image(u,v),universal_set)** -> . % 299.97/300.34 11015[2:Res:118.1,10966.0] || member(u,apply(v,w)) -> member(f28(u,v,w),universal_set)*. % 299.97/300.34 11021[2:Res:93.1,10966.0] || member(u,image(v,w)) -> member(f22(u,v,w),universal_set)*. % 299.97/300.34 11028[2:Res:46.1,10966.0] || member(u,converse(v))* -> member(ordered_pair(second(u),first(u)),universal_set)*. % 299.97/300.34 11479[2:Res:11033.1,70.0] || member(u,infinity) subset(universal_set,v) -> member(successor(u),v)*. % 299.97/300.34 11594[2:Res:10997.1,70.0] || subset(universal_set,u) -> subset(v,w) member(f17(v,w),u)*. % 299.97/300.34 11672[2:Res:10998.1,70.0] || subset(universal_set,u) -> disjoint(v,w) member(f23(v,w),u)*. % 299.97/300.34 11688[2:Res:11042.1,70.0] || subset(universal_set,u) -> equal(v,w) member(f1(v,w),u)*. % 299.97/300.34 12193[6:Res:4258.0,10857.1] || equal(successor(f1(complement(infinity),universal_set)),universal_set)** -> equal(complement(infinity),universal_set). % 299.97/300.34 12201[6:Res:395.0,10857.1] || equal(successor(f17(u,complement(infinity))),universal_set)** -> subset(u,complement(infinity)). % 299.97/300.34 12204[6:Res:38.1,10857.1] || member(u,domain_of(infinity)) equal(successor(f8(u,infinity)),universal_set)** -> . % 299.97/300.34 12205[6:Res:66.1,10857.1] || member(u,sigma(infinity)) equal(successor(f16(u,infinity)),universal_set)** -> . % 299.97/300.34 12206[6:Res:107.1,10857.1] || member(u,range_of(infinity)) equal(successor(f27(u,infinity)),universal_set)** -> . % 299.97/300.34 14093[0:Res:13992.1,70.0] || disjoint(u,set_a) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 15869[2:Res:1079.2,15679.1] little_set(set_b) || equal(set_b,u) disjoint(universal_set,singleton_set(u))* -> . % 299.97/300.34 15894[2:Res:1079.2,15721.1] little_set(set_a) || equal(set_a,u) disjoint(universal_set,singleton_set(u))* -> . % 299.97/300.34 16060[3:SSi:16034.0,63.0,15957.0] || equal(non_ordered_pair(u,v),infinity) disjoint(universal_set,ordered_pair(u,v))* -> . % 299.97/300.34 17021[0:Res:71.1,15955.0] || -> subset(sigma(powerset(u)),v) member(f17(sigma(powerset(u)),v),u)*. % 299.97/300.34 17023[0:Res:99.1,15955.0] || -> disjoint(sigma(powerset(u)),v) member(f23(sigma(powerset(u)),v),u)*. % 299.97/300.34 17040[0:Res:100.1,15955.0] || -> disjoint(u,sigma(powerset(v))) member(f23(u,sigma(powerset(v))),v)*. % 299.97/300.34 17630[2:Res:956.2,17597.0] || subset(u,image(ordered_pair(f19(u),f21(u)),v))* -> single_valued_set(u). % 299.97/300.34 17631[2:Res:957.2,17597.0] || subset(u,image(ordered_pair(f19(u),f20(u)),v))* -> single_valued_set(u). % 299.97/300.34 18238[3:MRR:18231.0,37.1] || member(u,domain_of(v)) -> ordered_pair_predicate(ordered_pair(second(f8(u,v)),u))*. % 299.97/300.34 18239[3:MRR:18236.0,106.1] || member(u,range_of(v)) -> ordered_pair_predicate(ordered_pair(u,first(f27(u,v))))*. % 299.97/300.34 19411[0:Res:9144.0,1204.2] || member(u,first(v)) member(u,complement(f4(u,v)))* -> . % 299.97/300.34 19467[0:Res:9144.0,1203.2] || member(u,second(v)) member(u,complement(f7(u,v)))* -> . % 299.97/300.34 19519[0:Res:9144.0,1202.2] || member(u,sigma(v)) member(u,complement(f16(u,v)))* -> . % 299.97/300.34 20498[0:Res:35.2,20288.0] little_set(set_b) || disjoint(complement(u),complement(u))* -> member(set_b,u). % 299.97/300.34 20519[0:Res:35.2,20289.0] little_set(set_a) || disjoint(complement(u),complement(u))* -> member(set_a,u). % 299.97/300.34 20608[3:SSi:20584.0,63.0,15957.0] || equal(infinity,u) disjoint(non_ordered_pair(u,v),non_ordered_pair(u,v))* -> . % 299.97/300.34 20609[3:SSi:20585.0,63.0,15957.0] || equal(infinity,u) disjoint(non_ordered_pair(v,u),non_ordered_pair(v,u))* -> . % 299.97/300.34 20944[2:Res:954.2,20934.0] || subset(u,range_of(cross_product(f23(u,v),w)))* -> disjoint(u,v). % 299.97/300.34 20945[2:Res:961.2,20934.0] || subset(u,range_of(cross_product(f23(v,u),w)))* -> disjoint(v,u). % 299.97/300.34 20946[2:Res:955.2,20934.0] || subset(u,range_of(cross_product(f17(u,v),w)))* -> subset(u,v). % 299.97/300.34 20948[2:Res:960.2,20934.0] || member(u,infinity) subset(infinity,range_of(cross_product(successor(u),v)))* -> . % 299.97/300.34 20954[2:Res:46.1,20934.0] || member(u,converse(range_of(cross_product(ordered_pair(second(u),first(u)),v))))* -> . % 299.97/300.34 26380[2:Con:26341.3] || disjoint(universal_set,u) -> equal(v,u) member(f1(v,u),v)*. % 299.97/300.34 26396[7:Res:26333.1,70.0] || subset(universal_set,u)* subset(u,v)* -> member(sigma(infinity),v)*. % 299.97/300.34 26434[7:Res:26333.1,274.0] || subset(universal_set,restrict(u,v))* -> member(sigma(infinity),cross_product(v,universal_set))*. % 299.97/300.34 26439[7:Res:26333.1,1354.0] || subset(universal_set,image(u,cross_product(v,w)))* -> member(sigma(infinity),w). % 299.97/300.34 26509[2:Con:26470.3] || disjoint(universal_set,u) -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.34 26867[0:Obv:26859.0] || member(u,image(v,cross_product(w,x)))* disjoint(w,v) -> . % 299.97/300.34 26968[7:Res:26830.1,42.0] || disjoint(universal_set,complement(cross_product(u,v)))* -> member(first(sigma(infinity)),u). % 299.97/300.34 26969[7:Res:26830.1,43.0] || disjoint(universal_set,complement(cross_product(u,v)))* -> member(second(sigma(infinity)),v). % 299.97/300.34 26989[7:Res:26830.1,560.0] || disjoint(universal_set,complement(domain_of(cross_product(u,v))))* -> member(sigma(infinity),u). % 299.97/300.34 26991[7:Res:26830.1,547.0] || disjoint(universal_set,complement(range_of(cross_product(u,v))))* -> member(sigma(infinity),v). % 299.97/300.34 27113[7:Res:26831.1,42.0] || disjoint(complement(cross_product(u,v)),universal_set)* -> member(first(sigma(infinity)),u). % 299.97/300.34 27114[7:Res:26831.1,43.0] || disjoint(complement(cross_product(u,v)),universal_set)* -> member(second(sigma(infinity)),v). % 299.97/300.34 27134[7:Res:26831.1,560.0] || disjoint(complement(domain_of(cross_product(u,v))),universal_set)* -> member(sigma(infinity),u). % 299.97/300.34 27136[7:Res:26831.1,547.0] || disjoint(complement(range_of(cross_product(u,v))),universal_set)* -> member(sigma(infinity),v). % 299.97/300.34 27328[2:MRR:27303.0,10966.1] || member(u,complement(v)) member(u,successor(v))* -> little_set(v). % 299.97/300.34 27329[3:MRR:27304.0,10966.1] || member(u,complement(v)) member(u,successor(v))* -> ordered_pair_predicate(v). % 299.97/300.34 28338[0:Obv:28329.2] || disjoint(u,u)* -> equal(v,u) member(f1(v,u),v)*. % 299.97/300.34 28713[0:Obv:28696.2] || disjoint(u,u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.34 31320[0:Fac:3824.1,3824.2] || -> equal(intersection(u,v),u) member(f1(u,intersection(u,v)),u)*. % 299.97/300.34 31530[0:Fac:3825.1,3825.2] || -> equal(intersection(u,v),v) member(f1(v,intersection(u,v)),v)*. % 299.97/300.34 31713[0:Fac:3842.1,3842.2] || -> equal(intersection(u,v),u) member(f1(intersection(u,v),u),u)*. % 299.97/300.34 31894[0:Fac:3843.1,3843.2] || -> equal(intersection(u,v),v) member(f1(intersection(u,v),v),v)*. % 299.97/300.34 32711[8:Res:13975.1,26031.0] || member(sigma(infinity),u) disjoint(universal_set,complement(complement(sigma(u))))* -> . % 299.97/300.34 32714[8:Res:17151.1,26031.0] || disjoint(u,sigma(infinity)) disjoint(universal_set,complement(restrict(u,v)))* -> . % 299.97/300.34 32715[8:Res:14040.1,26031.0] || disjoint(u,sigma(infinity)) disjoint(universal_set,complement(intersection(u,v)))* -> . % 299.97/300.34 32716[8:Res:14043.1,26031.0] || disjoint(u,sigma(infinity)) disjoint(universal_set,complement(intersection(v,u)))* -> . % 299.97/300.34 33387[7:Res:33376.1,42.0] || member(universal_set,powerset(cross_product(u,v)))* -> member(first(sigma(infinity)),u). % 299.97/300.34 33388[7:Res:33376.1,43.0] || member(universal_set,powerset(cross_product(u,v)))* -> member(second(sigma(infinity)),v). % 299.97/300.34 33408[7:Res:33376.1,560.0] || member(universal_set,powerset(domain_of(cross_product(u,v))))* -> member(sigma(infinity),u). % 299.97/300.34 33410[7:Res:33376.1,547.0] || member(universal_set,powerset(range_of(cross_product(u,v))))* -> member(sigma(infinity),v). % 299.97/300.34 39679[3:Res:11437.1,20718.0] || subset(complement(complement(complement(u))),u)* -> member(infinity,complement(complement(u))). % 299.97/300.34 39705[7:Res:26416.1,39682.0] || subset(universal_set,powerset(complement(sigma(infinity))))* -> member(infinity,complement(sigma(infinity))). % 299.97/300.34 39776[3:Res:39698.1,70.0] || disjoint(universal_set,u) subset(complement(u),v)* -> member(infinity,v). % 299.97/300.34 40646[6:Res:25246.0,10857.1] || equal(successor(f1(universal_set,complement(infinity))),universal_set)** -> equal(complement(infinity),universal_set). % 299.97/300.34 40647[2:Res:25246.0,76.0] || -> equal(complement(powerset(u)),universal_set) subset(f1(universal_set,complement(powerset(u))),u)*. % 299.97/300.34 40648[2:Res:25246.0,1444.0] || -> equal(complement(singleton_set(u)),universal_set) equal(f1(universal_set,complement(singleton_set(u))),u)**. % 299.97/300.34 40827[2:Rew:36.0,40805.0] || -> equal(union(u,v),universal_set) member(f1(universal_set,union(u,v)),universal_set)*. % 299.97/300.34 43595[14:Res:42571.1,42.0] || subset(universal_set,cross_product(u,v))* -> member(first(ordered_pair(universal_set,w)),u)*. % 299.97/300.34 43596[14:Res:42571.1,43.0] || subset(universal_set,cross_product(u,v))* -> member(second(ordered_pair(universal_set,w)),v)*. % 299.97/300.34 43619[14:Res:42571.1,560.0] || subset(universal_set,domain_of(cross_product(u,v)))* -> member(ordered_pair(universal_set,w),u)*. % 299.97/300.34 43622[14:Res:42571.1,547.0] || subset(universal_set,range_of(cross_product(u,v)))* -> member(ordered_pair(universal_set,w),v)*. % 299.97/300.34 59000[16:Rew:375.0,55205.0] || equal(singleton_set(singleton_set(a)),u) disjoint(universal_set,non_ordered_pair(v,u))* -> . % 299.97/300.34 59001[16:Rew:375.0,55206.0] || equal(singleton_set(singleton_set(a)),u) disjoint(universal_set,non_ordered_pair(u,v))* -> . % 299.97/300.34 55315[16:Rew:54986.0,49214.1] || subset(universal_set,u)* member(a,v)* disjoint(v,u)* -> . % 299.97/300.34 55316[16:Rew:54986.0,49213.2] || subset(universal_set,u) subset(sigma(u),v)* -> member(a,v). % 299.97/300.34 55317[16:Rew:54986.0,49209.2] || disjoint(u,infinity) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 59002[16:Rew:54986.0,55318.1] || subset(successor(u),v)* -> member(a,complement(u)) member(a,v). % 299.97/300.34 55319[16:Rew:54986.0,49171.2] || disjoint(universal_set,u) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 59003[16:Rew:54986.0,55320.0] || equal(a,u) subset(singleton_set(u),v)* -> member(a,v). % 299.97/300.34 55321[16:Rew:54986.0,49164.2] || subset(infinity,u) subset(sigma(u),v)* -> member(a,v). % 299.97/300.34 59004[16:Rew:54986.0,55322.1] || member(u,v)* member(u,powerset(a))* -> member(a,v)*. % 299.97/300.34 59005[16:Rew:54986.0,55323.0] || equal(a,u) subset(successor(u),v)* -> member(a,v). % 299.97/300.34 59006[16:Rew:54986.0,55324.0] || subset(sigma(complement(apply(u,singleton_set(a)))),v)* -> member(a,v). % 299.97/300.34 59007[16:Rew:54986.0,55325.0] || subset(sigma(complement(image(singleton_set(a),u))),v)* -> member(a,v). % 299.97/300.34 55347[16:Rew:54986.0,14109.2] || disjoint(u,set_b) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 55393[16:Rew:54986.0,49267.2] || subset(universal_set,u)* member(u,v)* -> member(a,sigma(v))*. % 299.97/300.34 59008[16:Rew:54986.0,55394.1] || member(complement(u),v)* -> member(a,u) member(a,sigma(v)). % 299.97/300.34 59009[16:Rew:54986.0,55395.1] || member(u,v)* -> disjoint(powerset(a),u)* member(a,sigma(v))*. % 299.97/300.34 59010[16:Rew:54986.0,55396.1] || member(u,v)* -> disjoint(u,powerset(a))* member(a,sigma(v))*. % 299.97/300.34 55397[16:Rew:54986.0,49235.1] || member(complement(complement(ordered_pair(universal_set,u))),v)* -> member(a,sigma(v)). % 299.97/300.34 59011[16:Rew:54986.0,55429.1] || -> member(a,intersection(complement(u),complement(v)))* member(a,union(u,v)). % 299.97/300.34 55486[16:Rew:54986.0,48701.0] || equal(non_ordered_pair(u,v),a) disjoint(ordered_pair(u,v),infinity)* -> . % 299.97/300.34 55487[16:Rew:54986.0,48698.0] || equal(non_ordered_pair(u,v),a) disjoint(universal_set,ordered_pair(u,v))* -> . % 299.97/300.34 59012[16:Rew:54986.0,55488.1] || equal(non_ordered_pair(u,v),a) -> subset(powerset(a),ordered_pair(u,v))*. % 299.97/300.34 55489[16:Rew:54986.0,48660.0] || equal(non_ordered_pair(u,v),a) disjoint(ordered_pair(u,v),universal_set)* -> . % 299.97/300.34 55491[16:Rew:54986.0,3058.0] || equal(non_ordered_pair(u,v),a) disjoint(ordered_pair(u,v),set_b)* -> . % 299.97/300.34 55506[16:Rew:54986.0,49344.1] || subset(singleton_set(u),v)* -> equal(singleton_set(u),a) member(u,v). % 299.97/300.34 59013[16:Rew:54986.0,55568.1] || member(a,u)* member(v,powerset(a))* -> member(v,u)*. % 299.97/300.34 59014[16:Rew:54986.0,55570.2] || member(a,u)* disjoint(u,v)* -> disjoint(powerset(a),v)*. % 299.97/300.34 59015[16:Rew:54986.0,55571.2] || member(a,u)* disjoint(u,v)* -> disjoint(v,powerset(a))*. % 299.97/300.34 55572[16:Rew:54986.0,49680.0] || member(a,u) disjoint(u,complement(complement(ordered_pair(universal_set,v))))* -> . % 299.97/300.34 59016[16:Rew:54986.0,55573.1] ordered_pair_predicate(u) || equal(singleton_set(f2(u)),a)** -> member(a,u). % 299.97/300.34 55811[16:Rew:54986.0,50808.1] || equal(sigma(infinity),singleton_set(u)) -> member(a,sigma(ordered_pair(u,v)))*. % 299.97/300.34 59017[16:Rew:54986.0,55812.0] || equal(powerset(a),singleton_set(u)) -> member(a,sigma(ordered_pair(u,v)))*. % 299.97/300.34 59018[16:Rew:54986.0,55813.0] || equal(singleton_set(a),singleton_set(u)) -> member(a,sigma(ordered_pair(u,v)))*. % 299.97/300.34 56169[16:Rew:54986.0,48994.1] little_set(u) || -> equal(u,a) member(ordered_pair(u,f26(u)),universal_set)*. % 299.97/300.34 59020[16:Rew:54986.0,56170.1] || equal(u,a) subset(singleton_set(a),v)* -> member(u,v)*. % 299.97/300.34 56171[16:Rew:54986.0,48948.1] || member(u,powerset(v)) -> equal(u,a) member(f24(u),v)*. % 299.97/300.34 56172[16:Rew:54986.0,48947.1] || member(u,powerset(v)) -> equal(u,a) member(f26(u),v)*. % 299.97/300.34 56175[16:Rew:54986.0,48824.1] || subset(u,image(v,cross_product(f24(u),w)))* -> equal(u,a). % 299.97/300.34 56176[16:Rew:54986.0,48821.1] || subset(u,image(intersection(f24(u),v),w))* -> equal(u,a). % 299.97/300.34 56177[16:Rew:54986.0,48818.1] || subset(u,image(restrict(f24(u),v),w))* -> equal(u,a). % 299.97/300.34 56178[16:Rew:54986.0,48815.1] || subset(u,image(intersection(v,f24(u)),w))* -> equal(u,a). % 299.97/300.34 56179[16:Rew:54986.0,48705.2] || equal(f26(u),universal_set) member(u,v)* -> equal(u,a). % 299.97/300.34 59022[16:Rew:54986.0,56215.1] || subset(universal_set,non_ordered_pair(u,v))* -> equal(a,v) equal(a,u). % 299.97/300.34 59023[16:Rew:54986.0,56216.2,54986.0,56216.1] || -> equal(a,u) disjoint(non_ordered_pair(v,u),powerset(a))* equal(v,a). % 299.97/300.34 59024[16:Rew:54986.0,56217.2,54986.0,56217.1] || -> equal(a,u) disjoint(powerset(a),non_ordered_pair(v,u))* equal(v,a). % 299.97/300.34 59025[16:Rew:54986.0,56283.1] || subset(universal_set,powerset(complement(singleton_set(a))))* -> member(infinity,complement(singleton_set(a))). % 299.97/300.34 56335[16:Rew:54986.0,49420.1] || disjoint(universal_set,complement(domain_of(cross_product(u,v))))* -> member(singleton_set(a),u). % 299.97/300.34 56336[16:Rew:54986.0,49414.1] || disjoint(complement(domain_of(cross_product(u,v))),universal_set)* -> member(singleton_set(a),u). % 299.97/300.34 56337[16:Rew:54986.0,49412.0] || member(singleton_set(a),u) disjoint(universal_set,complement(complement(sigma(u))))* -> . % 299.97/300.34 56338[16:Rew:54986.0,49405.1] || member(universal_set,powerset(domain_of(cross_product(u,v))))* -> member(singleton_set(a),u). % 299.97/300.34 56377[16:Rew:54986.0,49397.0] || disjoint(u,singleton_set(a)) disjoint(universal_set,complement(restrict(u,v)))* -> . % 299.97/300.34 56378[16:Rew:54986.0,49396.0] || disjoint(u,singleton_set(a)) disjoint(universal_set,complement(intersection(u,v)))* -> . % 299.97/300.34 56379[16:Rew:54986.0,49395.0] || disjoint(u,singleton_set(a)) disjoint(universal_set,complement(intersection(v,u)))* -> . % 299.97/300.34 56439[16:Rew:54986.0,49378.2] || subset(universal_set,u)* subset(u,v)* -> member(singleton_set(a),v)*. % 299.97/300.34 56440[16:Rew:54986.0,49375.1] || disjoint(universal_set,complement(range_of(cross_product(u,v))))* -> member(singleton_set(a),v). % 299.97/300.34 56441[16:Rew:54986.0,49371.1] || disjoint(complement(range_of(cross_product(u,v))),universal_set)* -> member(singleton_set(a),v). % 299.97/300.34 56442[16:Rew:54986.0,49367.1] || member(universal_set,powerset(range_of(cross_product(u,v))))* -> member(singleton_set(a),v). % 299.97/300.34 56457[16:Rew:54986.0,49359.2] || equal(u,universal_set) member(u,universal_set)* -> ordered_pair_predicate(singleton_set(singleton_set(a)))*. % 299.97/300.34 56463[16:Rew:54986.0,49459.1] || disjoint(universal_set,complement(cross_product(u,v)))* -> member(second(singleton_set(a)),v). % 299.97/300.34 56464[16:Rew:54986.0,49458.1] || disjoint(complement(cross_product(u,v)),universal_set)* -> member(second(singleton_set(a)),v). % 299.97/300.34 56465[16:Rew:54986.0,49457.1] || member(universal_set,powerset(cross_product(u,v)))* -> member(second(singleton_set(a)),v). % 299.97/300.34 56467[16:Rew:54986.0,49463.1] || disjoint(universal_set,complement(cross_product(u,v)))* -> member(first(singleton_set(a)),u). % 299.97/300.34 56468[16:Rew:54986.0,49462.1] || disjoint(complement(cross_product(u,v)),universal_set)* -> member(first(singleton_set(a)),u). % 299.97/300.34 56469[16:Rew:54986.0,49461.1] || member(universal_set,powerset(cross_product(u,v)))* -> member(first(singleton_set(a)),u). % 299.97/300.34 56518[16:Rew:54986.0,49559.1] || subset(universal_set,restrict(u,v))* -> member(singleton_set(a),cross_product(v,universal_set))*. % 299.97/300.34 56522[16:Rew:54986.0,49563.1] || subset(universal_set,image(u,cross_product(v,w)))* -> member(singleton_set(a),w). % 299.97/300.34 56697[16:Rew:54986.0,50343.1] || disjoint(universal_set,complement(domain_of(cross_product(u,v))))* -> member(powerset(a),u). % 299.97/300.34 56698[16:Rew:54986.0,50338.1] || disjoint(complement(domain_of(cross_product(u,v))),universal_set)* -> member(powerset(a),u). % 299.97/300.34 56699[16:Rew:54986.0,50330.1] || member(universal_set,powerset(domain_of(cross_product(u,v))))* -> member(powerset(a),u). % 299.97/300.34 56778[16:Rew:54986.0,50371.2] || subset(universal_set,u)* subset(u,v)* -> member(powerset(a),v)*. % 299.97/300.34 56779[16:Rew:54986.0,50368.1] || disjoint(universal_set,complement(range_of(cross_product(u,v))))* -> member(powerset(a),v). % 299.97/300.34 56780[16:Rew:54986.0,50364.1] || disjoint(complement(range_of(cross_product(u,v))),universal_set)* -> member(powerset(a),v). % 299.97/300.34 56781[16:Rew:54986.0,50360.1] || member(universal_set,powerset(range_of(cross_product(u,v))))* -> member(powerset(a),v). % 299.97/300.34 56787[16:Rew:54986.0,50375.1] || disjoint(universal_set,complement(cross_product(u,v)))* -> member(second(powerset(a)),v). % 299.97/300.34 56788[16:Rew:54986.0,50374.1] || disjoint(complement(cross_product(u,v)),universal_set)* -> member(second(powerset(a)),v). % 299.97/300.34 56789[16:Rew:54986.0,50373.1] || member(universal_set,powerset(cross_product(u,v)))* -> member(second(powerset(a)),v). % 299.97/300.34 56791[16:Rew:54986.0,50379.1] || disjoint(universal_set,complement(cross_product(u,v)))* -> member(first(powerset(a)),u). % 299.97/300.34 56792[16:Rew:54986.0,50378.1] || disjoint(complement(cross_product(u,v)),universal_set)* -> member(first(powerset(a)),u). % 299.97/300.34 56793[16:Rew:54986.0,50377.1] || member(universal_set,powerset(cross_product(u,v)))* -> member(first(powerset(a)),u). % 299.97/300.34 59028[16:Rew:54986.0,56841.1] || member(u,powerset(a))* -> member(a,complement(v))* member(u,v)*. % 299.97/300.34 59029[16:Rew:54986.0,56842.1] || member(u,domain_of(powerset(a)))* -> equal(f8(u,powerset(a)),a). % 299.97/300.34 59030[16:Rew:54986.0,56843.1] || member(u,sigma(powerset(a)))* -> equal(f16(u,powerset(a)),a). % 299.97/300.34 59031[16:Rew:54986.0,56844.1] || member(u,range_of(powerset(a)))* -> equal(f27(u,powerset(a)),a). % 299.97/300.34 59032[16:Rew:54986.0,56846.1] || -> single_valued_set(powerset(a)) equal(ordered_pair(f19(powerset(a)),f21(powerset(a))),a)**. % 299.97/300.34 59033[16:Rew:54986.0,56847.1] || -> single_valued_set(powerset(a)) equal(ordered_pair(f19(powerset(a)),f20(powerset(a))),a)**. % 299.97/300.34 59034[16:Rew:54986.0,56848.2,54986.0,56848.0] || member(a,f25) -> single_valued_set(powerset(a)) equal(f19(powerset(a)),a)**. % 299.97/300.34 56852[16:Rew:54986.0,50434.1] || subset(universal_set,restrict(u,v))* -> member(powerset(a),cross_product(v,universal_set))*. % 299.97/300.34 56856[16:Rew:54986.0,50438.1] || subset(universal_set,image(u,cross_product(v,w)))* -> member(powerset(a),w). % 299.97/300.34 59035[16:Rew:54986.0,56861.1] || subset(universal_set,powerset(complement(powerset(a))))* -> member(infinity,complement(powerset(a))). % 299.97/300.34 57108[16:Rew:54986.0,51175.0] || disjoint(u,successor(a)) disjoint(universal_set,complement(restrict(u,v)))* -> . % 299.97/300.34 57109[16:Rew:54986.0,51174.0] || disjoint(u,successor(a)) disjoint(universal_set,complement(intersection(u,v)))* -> . % 299.97/300.34 57110[16:Rew:54986.0,51173.0] || disjoint(u,successor(a)) disjoint(universal_set,complement(intersection(v,u)))* -> . % 299.97/300.34 57125[16:Rew:54986.0,51181.0] || member(successor(a),u) disjoint(universal_set,complement(complement(sigma(u))))* -> . % 299.97/300.34 57158[16:Rew:54986.0,50630.1] || subset(f25,complement(u)) member(ordered_pair(powerset(a),a),u)* -> . % 299.97/300.34 57159[16:Rew:54986.0,50629.1] || subset(f25,complement(complement(u))) -> member(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57160[16:Rew:54986.0,50628.1] || subset(f25,intersection(u,v))* -> member(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57161[16:Rew:54986.0,50627.1] || subset(f25,sigma(powerset(u))) -> member(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57162[16:Rew:54986.0,50626.1] || subset(f25,restrict(u,v))* -> member(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57163[16:Rew:54986.0,50624.1] || subset(universal_set,complement(u)) member(ordered_pair(powerset(a),a),u)* -> . % 299.97/300.34 57164[16:Rew:54986.0,50623.1] || subset(universal_set,complement(complement(u))) -> member(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57165[16:Rew:54986.0,50622.1] || subset(universal_set,intersection(u,v))* -> member(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57166[16:Rew:54986.0,50621.1] || subset(universal_set,sigma(powerset(u))) -> member(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57167[16:Rew:54986.0,50620.1] || subset(universal_set,restrict(u,v))* -> member(ordered_pair(powerset(a),a),u)*. % 299.97/300.34 57190[16:Rew:54986.0,50642.1] || subset(f25,infinity) equal(successor(ordered_pair(powerset(a),a)),universal_set)** -> . % 299.97/300.34 57191[16:Rew:54986.0,50641.1] || subset(universal_set,infinity) equal(successor(ordered_pair(powerset(a),a)),universal_set)** -> . % 299.97/300.34 57198[16:Rew:54986.0,50650.1] || subset(f25,intersection(u,v))* -> member(ordered_pair(powerset(a),a),v)*. % 299.97/300.34 57199[16:Rew:54986.0,50646.1] || subset(universal_set,intersection(u,v))* -> member(ordered_pair(powerset(a),a),v)*. % 299.97/300.34 59037[16:Rew:54986.0,57206.0] || -> equal(ordered_pair(powerset(a),a),a) ordered_pair_predicate(f26(ordered_pair(powerset(a),a)))*. % 299.97/300.34 57303[16:Rew:54986.0,50870.1] little_set(u) || subset(u,a) -> member(u,ordered_pair(universal_set,v))*. % 299.97/300.34 59038[16:Rew:54986.0,57410.1] || disjoint(union(u,a),set_b) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 57413[16:Rew:54986.0,49950.0] || disjoint(union(u,a),set_a) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 59039[16:Rew:54986.0,57419.1] || disjoint(union(u,a),infinity) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 59040[16:Rew:54986.0,57433.1] || disjoint(union(u,a),universal_set) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 57434[16:Rew:54986.0,49997.0] || disjoint(union(u,a),universal_set) -> member(infinity,intersection(complement(u),universal_set))*. % 299.97/300.34 57435[16:Rew:54986.0,50006.1] || disjoint(intersection(complement(u),universal_set),v)* -> subset(v,union(u,a)). % 299.97/300.34 57437[16:Rew:54986.0,50008.1] || disjoint(intersection(complement(u),universal_set),set_a)* -> member(a,union(u,a)). % 299.97/300.34 57442[16:Rew:54986.0,50034.0] || disjoint(universal_set,union(u,a)) -> member(infinity,intersection(complement(u),universal_set))*. % 299.97/300.34 59041[16:Rew:54986.0,57443.1] || disjoint(universal_set,union(u,a)) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 57447[16:Rew:54986.0,50043.1] || disjoint(universal_set,intersection(complement(u),universal_set))* -> member(infinity,union(u,a)). % 299.97/300.34 59042[16:Rew:54986.0,57448.0] || -> member(a,intersection(complement(u),universal_set)) subset(powerset(a),union(u,a))*. % 299.97/300.34 59043[16:Rew:54986.0,57528.1] || disjoint(union(a,u),set_b) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 57531[16:Rew:54986.0,49813.0] || disjoint(union(a,u),set_a) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 59044[16:Rew:54986.0,57537.1] || disjoint(union(a,u),infinity) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 59045[16:Rew:54986.0,57551.1] || disjoint(union(a,u),universal_set) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 57552[16:Rew:54986.0,49860.0] || disjoint(union(a,u),universal_set) -> member(infinity,intersection(universal_set,complement(u)))*. % 299.97/300.34 57553[16:Rew:54986.0,49869.1] || disjoint(intersection(universal_set,complement(u)),v)* -> subset(v,union(a,u)). % 299.97/300.34 57555[16:Rew:54986.0,49871.1] || disjoint(intersection(universal_set,complement(u)),set_a)* -> member(a,union(a,u)). % 299.97/300.34 57560[16:Rew:54986.0,49897.0] || disjoint(universal_set,union(a,u)) -> member(infinity,intersection(universal_set,complement(u)))*. % 299.97/300.34 59046[16:Rew:54986.0,57561.1] || disjoint(universal_set,union(a,u)) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 57565[16:Rew:54986.0,49906.1] || disjoint(universal_set,intersection(universal_set,complement(u)))* -> member(infinity,union(a,u)). % 299.97/300.34 59047[16:Rew:54986.0,57566.0] || -> member(a,intersection(universal_set,complement(u))) subset(powerset(a),union(a,u))*. % 299.97/300.34 57702[16:Rew:54986.0,48647.0] || -> equal(cross_product(u,v),a) member(second(f24(cross_product(u,v))),universal_set)*. % 299.97/300.34 57703[16:Rew:54986.0,48646.0] || -> equal(cross_product(u,v),a) member(first(f24(cross_product(u,v))),universal_set)*. % 299.97/300.34 57746[16:Rew:54986.0,50066.1] || subset(u,intersection(complement(v),universal_set))* -> disjoint(u,union(v,a)). % 299.97/300.34 57747[16:Rew:54986.0,50067.1] || subset(u,intersection(complement(v),universal_set))* -> disjoint(union(v,a),u). % 299.97/300.34 57774[16:Rew:54986.0,49927.1] || subset(u,intersection(universal_set,complement(v)))* -> disjoint(u,union(a,v)). % 299.97/300.34 57775[16:Rew:54986.0,49928.1] || subset(u,intersection(universal_set,complement(v)))* -> disjoint(union(a,v),u). % 299.97/300.34 57821[16:Rew:54986.0,50135.2] || equal(universal_set,u)* equal(u,v)* -> equal(second(v),a)**. % 299.97/300.34 57825[16:Rew:54986.0,50139.2] || equal(universal_set,u)* equal(u,v)* -> equal(first(v),a)**. % 299.97/300.34 59057[16:Rew:54986.0,57851.1] || -> equal(complement(complement(u)),a) member(f1(complement(complement(u)),a),u)*. % 299.97/300.34 59058[16:Rew:54986.0,57852.1] || -> equal(complement(complement(u)),a) member(f1(a,complement(complement(u))),u)*. % 299.97/300.34 57884[16:Rew:54986.0,50837.1] || disjoint(intersection(universal_set,complement(u)),infinity)* -> member(a,union(a,u)). % 299.97/300.34 57885[16:Rew:54986.0,50832.1] || disjoint(universal_set,intersection(universal_set,complement(u)))* -> member(a,union(a,u)). % 299.97/300.34 57886[16:Rew:54986.0,49873.1] || disjoint(intersection(universal_set,complement(u)),set_b)* -> member(a,union(a,u)). % 299.97/300.34 57896[16:Rew:54986.0,50829.1] || disjoint(intersection(complement(u),universal_set),infinity)* -> member(a,union(u,a)). % 299.97/300.34 57897[16:Rew:54986.0,50824.1] || disjoint(universal_set,intersection(complement(u),universal_set))* -> member(a,union(u,a)). % 299.97/300.34 57898[16:Rew:54986.0,50010.1] || disjoint(intersection(complement(u),universal_set),set_b)* -> member(a,union(u,a)). % 299.97/300.34 57899[16:Rew:54986.0,50099.1] || disjoint(complement(restrict(u,v)),universal_set)* -> member(a,cross_product(v,universal_set)). % 299.97/300.34 57900[16:Rew:54986.0,50098.1] || disjoint(complement(restrict(u,v)),infinity)* -> member(a,cross_product(v,universal_set)). % 299.97/300.34 57901[16:Rew:54986.0,50096.1] || disjoint(universal_set,complement(restrict(u,v)))* -> member(a,cross_product(v,universal_set)). % 299.97/300.34 57921[16:Rew:54986.0,50974.1] || member(ordered_pair(universal_set,u),v)* -> member(a,complement(complement(sigma(v))))*. % 299.97/300.34 57923[16:Rew:54986.0,50976.1] || member(ordered_pair(universal_set,u),v)* member(a,complement(sigma(v))) -> . % 299.97/300.34 59059[16:Rew:54986.0,57926.1] || -> equal(sigma(powerset(u)),a) member(f1(sigma(powerset(u)),a),u)*. % 299.97/300.34 59060[16:Rew:54986.0,57927.1] || -> equal(sigma(powerset(u)),a) member(f1(a,sigma(powerset(u))),u)*. % 299.97/300.34 57929[16:Rew:54986.0,50989.1] || disjoint(u,ordered_pair(universal_set,v))* -> member(a,complement(intersection(u,w)))*. % 299.97/300.34 57931[16:Rew:54986.0,50991.1] || disjoint(u,ordered_pair(universal_set,v))* member(a,intersection(u,w))* -> . % 299.97/300.34 57933[16:Rew:54986.0,50996.1] || disjoint(u,ordered_pair(universal_set,v))* -> member(a,complement(intersection(w,u)))*. % 299.97/300.34 57935[16:Rew:54986.0,50998.1] || disjoint(u,ordered_pair(universal_set,v))* member(a,intersection(w,u))* -> . % 299.97/300.34 57937[16:Rew:54986.0,51003.1] || disjoint(u,ordered_pair(universal_set,v))* -> member(a,complement(restrict(u,w)))*. % 299.97/300.34 57939[16:Rew:54986.0,51005.1] || disjoint(u,ordered_pair(universal_set,v))* member(a,restrict(u,w))* -> . % 299.97/300.34 57949[16:Rew:54986.0,51323.1] || -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f21(intersection(f25,u))),universal_set)*. % 299.97/300.34 57950[16:Rew:54986.0,51324.1] || -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f21(intersection(f25,u))),u)*. % 299.97/300.34 57951[16:Rew:54986.0,51325.1] || -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f21(intersection(f25,u))),f25)*. % 299.97/300.34 57957[16:Rew:54986.0,51331.1] || -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f20(intersection(f25,u))),universal_set)*. % 299.97/300.34 57958[16:Rew:54986.0,51332.1] || -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f20(intersection(f25,u))),u)*. % 299.97/300.34 57959[16:Rew:54986.0,51333.1] || -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f20(intersection(f25,u))),f25)*. % 299.97/300.34 57965[16:Rew:54986.0,51339.1] || -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f21(intersection(u,f25))),universal_set)*. % 299.97/300.34 57966[16:Rew:54986.0,51340.1] || -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f21(intersection(u,f25))),f25)*. % 299.97/300.34 57967[16:Rew:54986.0,51341.1] || -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f21(intersection(u,f25))),u)*. % 299.97/300.34 57973[16:Rew:54986.0,51347.1] || -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f20(intersection(u,f25))),universal_set)*. % 299.97/300.34 57974[16:Rew:54986.0,51348.1] || -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f20(intersection(u,f25))),f25)*. % 299.97/300.34 57975[16:Rew:54986.0,51349.1] || -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f20(intersection(u,f25))),u)*. % 299.97/300.34 57981[16:Rew:54986.0,51394.1] || -> single_valued_set(restrict(f25,u)) member(ordered_pair(a,f21(restrict(f25,u))),universal_set)*. % 299.97/300.34 57987[16:Rew:54986.0,51400.1] || -> single_valued_set(restrict(f25,u)) member(ordered_pair(a,f20(restrict(f25,u))),universal_set)*. % 299.97/300.34 58006[16:Rew:54986.0,50205.2] || disjoint(u,universal_set) closed(u,v) -> maps(v,a,u)*. % 299.97/300.34 58007[16:Rew:54986.0,50309.1] || member(universal_set,range_of(u)) -> equal(singleton_set(first(f27(universal_set,u))),a)**. % 299.97/300.34 58008[16:Rew:54986.0,50577.0] || -> equal(non_ordered_pair(singleton_set(a),ordered_pair(universal_set,u)),ordered_pair(a,non_ordered_pair(universal_set,u)))**. % 299.97/300.34 58009[16:Rew:54986.0,50806.0] || equal(first(f27(universal_set,u)),a)** member(universal_set,range_of(u)) -> . % 299.97/300.34 58011[16:Rew:54986.0,50849.1] || equal(ordered_pair(universal_set,u),v)* -> member(a,sigma(non_ordered_pair(v,w)))*. % 299.97/300.34 58013[16:Rew:54986.0,50851.1] || equal(ordered_pair(universal_set,u),v)* -> member(a,sigma(non_ordered_pair(w,v)))*. % 299.97/300.34 58021[16:Rew:54986.0,50940.1] || subset(sigma(complement(apply_to_two_arguments(u,universal_set,v))),w)* -> member(a,w). % 299.97/300.34 58023[16:Rew:54986.0,51271.0] || -> equal(image(union(u,a),cross_product(intersection(complement(u),universal_set),v)),a)**. % 299.97/300.34 58024[16:Rew:54986.0,51272.0] || -> equal(image(union(a,u),cross_product(intersection(universal_set,complement(u)),v)),a)**. % 299.97/300.34 58025[16:Rew:54986.0,51486.2] || closed(f25,u) -> single_valued_set(range_of(u)) equal(f19(range_of(u)),a)**. % 299.97/300.34 58026[16:Rew:54986.0,51542.1] || equal(successor(ordered_pair(universal_set,u)),universal_set)** -> member(a,sigma(complement(infinity)))*. % 299.97/300.34 58027[16:Rew:54986.0,51543.1] || member(ordered_pair(universal_set,u),v)* -> member(a,sigma(complement(complement(v))))*. % 299.97/300.34 58028[16:Rew:54986.0,51544.0] || -> member(a,sigma(complement(complement(complement(u)))))* member(ordered_pair(universal_set,v),u)*. % 299.97/300.34 58032[16:Rew:54986.0,51549.0] || -> member(a,sigma(complement(intersection(u,v))))* member(ordered_pair(universal_set,w),u)*. % 299.97/300.34 58033[16:Rew:54986.0,51548.0] || -> member(a,sigma(complement(intersection(u,v))))* member(ordered_pair(universal_set,w),v)*. % 299.97/300.34 58035[16:Rew:54986.0,51551.0] || -> member(a,sigma(complement(sigma(powerset(u)))))* member(ordered_pair(universal_set,v),u)*. % 299.97/300.34 58037[16:Rew:54986.0,51553.0] || -> member(a,sigma(complement(restrict(u,v))))* member(ordered_pair(universal_set,w),u)*. % 299.97/300.34 58038[16:Rew:54986.0,51637.1] || member(u,infinity) -> equal(successor(u),a) ordered_pair_predicate(f26(successor(u)))*. % 299.97/300.34 73353[17:Rew:73253.0,73311.1] || subset(universal_set,second(f8(a,u)))* member(a,domain_of(u)) -> . % 299.97/300.34 76262[16:AED:76042.1] || member(u,v)* disjoint(universal_set,v) -> equal(second(u),a). % 299.97/300.34 78721[16:Res:55126.0,56189.0] || -> equal(ordered_pair(powerset(a),a),a) little_set(f26(ordered_pair(powerset(a),a)))*. % 299.97/300.34 78722[16:Res:65.1,56189.0] || member(u,infinity) -> equal(successor(u),a) little_set(f26(successor(u)))*. % 299.97/300.34 79835[16:AED:79598.1] || member(u,v)* subset(v,a)* -> equal(second(u),a). % 299.97/300.34 82473[16:Res:82447.1,57812.0] || member(u,f25) -> single_valued_set(singleton_set(u)) equal(f19(singleton_set(u)),a)**. % 299.97/300.34 82497[16:SpR:57402.0,82450.1] || -> member(u,intersection(complement(v),universal_set)) subset(singleton_set(u),union(v,a))*. % 299.97/300.34 82498[16:SpR:57520.0,82450.1] || -> member(u,intersection(universal_set,complement(v))) subset(singleton_set(u),union(a,v))*. % 299.97/300.34 82596[0:Obv:82559.1] || member(u,v)* -> disjoint(singleton_set(w),u)* member(w,sigma(v))*. % 299.97/300.34 82597[0:Obv:82567.2] || member(u,v)* disjoint(v,w)* -> disjoint(singleton_set(u),w)*. % 299.97/300.34 82603[0:Rew:2240.1,82602.1] || -> disjoint(singleton_set(u),non_ordered_pair(v,w))* equal(u,w) equal(u,v). % 299.97/300.34 82659[0:Res:82575.0,1239.1] || member(u,singleton_set(v))* -> member(v,complement(w))* member(u,w)*. % 299.97/300.34 82712[16:Res:82637.1,98.0] || equal(a,u) member(u,v)* disjoint(v,set_b) -> . % 299.97/300.34 82713[16:Res:82637.1,68.0] || equal(a,u) member(set_b,v) -> member(u,sigma(v))*. % 299.97/300.34 82755[16:Res:82637.1,55063.0] || equal(f24(u),a) disjoint(set_b,u)* -> equal(u,a). % 299.97/300.34 82806[16:Res:82637.1,616.1] || equal(first(f27(set_b,u)),a)** member(set_b,range_of(u)) -> . % 299.97/300.34 82865[3:Res:82638.1,98.0] || equal(a,u) member(u,v)* disjoint(v,set_a) -> . % 299.97/300.34 82866[3:Res:82638.1,68.0] || equal(a,u) member(set_a,v) -> member(u,sigma(v))*. % 299.97/300.34 82908[16:Res:82638.1,55063.0] || equal(f24(u),a) disjoint(set_a,u)* -> equal(u,a). % 299.97/300.34 82959[3:Res:82638.1,616.1] || equal(first(f27(set_a,u)),a)** member(set_a,range_of(u)) -> . % 299.97/300.34 83018[16:Res:82641.1,98.0] || equal(a,u) member(u,v)* disjoint(v,infinity) -> . % 299.97/300.34 83019[16:Res:82641.1,68.0] || equal(a,u) member(infinity,v) -> member(u,sigma(v))*. % 299.97/300.34 83062[16:Res:82641.1,55063.0] || equal(f24(u),a) disjoint(infinity,u)* -> equal(u,a). % 299.97/300.34 83113[16:Res:82641.1,616.1] || equal(first(f27(infinity,u)),a)** member(infinity,range_of(u)) -> . % 299.97/300.34 83220[0:Obv:83176.1] || member(u,v)* -> disjoint(u,singleton_set(w))* member(w,sigma(v))*. % 299.97/300.34 83225[0:Obv:83193.2] || member(u,v)* disjoint(v,w)* -> disjoint(w,singleton_set(u))*. % 299.97/300.34 83231[0:Rew:2250.1,83230.1] || -> disjoint(non_ordered_pair(u,v),singleton_set(w))* equal(w,v) equal(w,u). % 299.97/300.34 83401[2:Res:83265.1,616.1] || equal(first(f27(universal_set,u)),infinity)** member(universal_set,range_of(u)) -> . % 299.97/300.34 83496[16:Res:82585.0,1240.2] || subset(u,a) member(u,singleton_set(v))* -> equal(v,a). % 299.97/300.34 83593[16:MRR:59425.1,83558.0] || equal(f1(universal_set,a),powerset(u)) -> subset(f26(powerset(u)),u)*. % 299.97/300.34 83610[16:MRR:59440.0,83558.0] || -> single_valued_set(f1(powerset(f25),a)) equal(f19(f1(powerset(f25),a)),a)**. % 299.97/300.34 83611[16:MRR:59441.0,83558.0] || -> single_valued_set(f1(a,powerset(f25))) equal(f19(f1(a,powerset(f25))),a)**. % 299.97/300.34 83804[16:Res:83500.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(ordered_pair(universal_set,v))))* -> . % 299.97/300.34 83805[16:Res:83500.0,68.0] || member(complement(singleton_set(ordered_pair(universal_set,u))),v)* -> member(a,sigma(v)). % 299.97/300.34 83899[16:Res:33376.1,83606.1] || member(universal_set,powerset(f24(powerset(u))))* subset(sigma(infinity),u) -> . % 299.97/300.34 83903[16:Res:55074.1,83606.1] || subset(f24(f24(powerset(u))),u)* -> equal(f24(powerset(u)),a). % 299.97/300.34 83906[16:Res:56367.1,83606.1] || member(universal_set,powerset(f24(powerset(u))))* subset(singleton_set(a),u) -> . % 299.97/300.34 83910[16:Res:56728.1,83606.1] || member(universal_set,powerset(f24(powerset(u))))* subset(powerset(a),u) -> . % 299.97/300.34 84089[7:Res:33376.1,25433.0] || member(universal_set,powerset(image(u,v)))* subset(u,sigma(infinity)) -> . % 299.97/300.34 84090[7:Res:26831.1,25433.0] || disjoint(complement(image(u,v)),universal_set)* subset(u,sigma(infinity)) -> . % 299.97/300.34 84091[7:Res:26830.1,25433.0] || disjoint(universal_set,complement(image(u,v)))* subset(u,sigma(infinity)) -> . % 299.97/300.34 84093[16:Res:55074.1,25433.0] || subset(u,f24(image(u,v)))* -> equal(image(u,v),a). % 299.97/300.34 84096[16:Res:56367.1,25433.0] || member(universal_set,powerset(image(u,v)))* subset(u,singleton_set(a)) -> . % 299.97/300.34 84097[16:Res:56366.1,25433.0] || disjoint(complement(image(u,v)),universal_set)* subset(u,singleton_set(a)) -> . % 299.97/300.34 84098[16:Res:56365.1,25433.0] || disjoint(universal_set,complement(image(u,v)))* subset(u,singleton_set(a)) -> . % 299.97/300.34 84100[16:Res:56728.1,25433.0] || member(universal_set,powerset(image(u,v)))* subset(u,powerset(a)) -> . % 299.97/300.34 84101[16:Res:56727.1,25433.0] || disjoint(complement(image(u,v)),universal_set)* subset(u,powerset(a)) -> . % 299.97/300.34 84102[16:Res:56726.1,25433.0] || disjoint(universal_set,complement(image(u,v)))* subset(u,powerset(a)) -> . % 299.97/300.34 84187[14:Res:42571.1,25433.0] || subset(universal_set,image(u,v))* subset(u,ordered_pair(universal_set,w))* -> . % 299.97/300.34 84644[16:AED:84422.1] || member(u,v)* disjoint(v,v)* -> equal(second(u),a). % 299.97/300.34 86661[16:Res:83815.0,98.0] || member(a,u) disjoint(u,complement(f24(ordered_pair(universal_set,v))))* -> . % 299.97/300.34 86662[16:Res:83815.0,68.0] || member(complement(f24(ordered_pair(universal_set,u))),v)* -> member(a,sigma(v)). % 299.97/300.34 86875[16:Res:82653.1,70.0] || equal(powerset(a),u) subset(universal_set,v)* -> member(u,v)*. % 299.97/300.34 87061[16:Res:82654.1,70.0] || equal(singleton_set(a),u) subset(universal_set,v)* -> member(u,v)*. % 299.97/300.34 87248[7:Res:82656.1,70.0] || equal(sigma(infinity),u) subset(universal_set,v)* -> member(u,v)*. % 299.97/300.34 87589[16:Res:82665.1,70.0] || equal(a,u) subset(sigma(infinity),v)* -> member(u,v)*. % 299.97/300.34 87618[16:Res:82665.1,55139.0] || equal(f24(complement(sigma(infinity))),a)** -> equal(complement(sigma(infinity)),a). % 299.97/300.34 87744[16:Res:82681.1,70.0] || equal(a,u) subset(successor(a),v)* -> member(u,v)*. % 299.97/300.34 87772[16:Res:82681.1,55139.0] || equal(f24(complement(successor(a))),a)** -> equal(complement(successor(a)),a). % 299.97/300.34 87914[16:Res:83494.1,70.0] || subset(complement(singleton_set(u)),v)* -> equal(u,a) member(a,v). % 299.97/300.34 88083[3:Res:82671.1,70.0] || equal(infinity,u) subset(singleton_set(u),v)* -> member(u,v). % 299.97/300.34 88328[3:SpR:36.0,88326.1] || -> member(infinity,intersection(complement(u),complement(v)))* member(infinity,union(u,v)). % 299.97/300.34 88340[3:Res:88326.1,68.0] || member(complement(u),v)* -> member(infinity,u) member(infinity,sigma(v)). % 299.97/300.34 88359[3:Res:88327.1,70.0] || subset(infinity,u) subset(powerset(u),v)* -> member(infinity,v). % 299.97/300.34 88374[0:Res:82584.0,1240.2] || subset(u,v)* member(u,singleton_set(w))* -> subset(w,v)*. % 299.97/300.34 88499[16:Res:88372.0,4259.0] || -> member(a,complement(singleton_set(f1(powerset(u),universal_set))))* equal(powerset(u),universal_set). % 299.97/300.34 88611[16:Res:88372.0,684.0] || -> member(a,complement(singleton_set(f17(u,powerset(v)))))* subset(u,powerset(v)). % 299.97/300.34 88699[16:Res:88372.1,70.0] || subset(complement(singleton_set(u)),v)* -> subset(u,w)* member(a,v). % 299.97/300.34 88840[16:Con:88608.3] little_set(u) || -> member(a,complement(singleton_set(complement(v))))* member(u,v)*. % 299.97/300.34 89173[7:Res:26333.1,14370.1] || subset(universal_set,converse(complement(u)))* member(sigma(infinity),converse(u)) -> . % 299.97/300.34 89181[16:Res:56369.1,14370.1] || subset(universal_set,converse(complement(u)))* member(singleton_set(a),converse(u)) -> . % 299.97/300.34 89185[16:Res:56731.1,14370.1] || subset(universal_set,converse(complement(u)))* member(powerset(a),converse(u)) -> . % 299.97/300.34 89407[7:Res:26333.1,43745.1] || subset(universal_set,flip_range_of(complement(flip_range_of(u))))* member(sigma(infinity),u) -> . % 299.97/300.34 89415[16:Res:56369.1,43745.1] || subset(universal_set,flip_range_of(complement(flip_range_of(u))))* member(singleton_set(a),u) -> . % 299.97/300.34 89419[16:Res:56731.1,43745.1] || subset(universal_set,flip_range_of(complement(flip_range_of(u))))* member(powerset(a),u) -> . % 299.97/300.34 89576[16:Res:561.1,56180.0] || closed(u,v)* disjoint(u,universal_set) -> equal(range_of(v),a). % 299.97/300.34 89591[16:Res:83585.1,56180.0] little_set(u) || disjoint(u,universal_set) -> equal(f26(powerset(u)),a)**. % 299.97/300.34 89610[16:Res:13861.1,56180.0] || disjoint(u,v)* disjoint(complement(u),universal_set)* -> equal(v,a). % 299.97/300.34 89611[16:Res:82450.1,56180.0] || disjoint(complement(u),universal_set)* -> member(v,u)* equal(singleton_set(v),a). % 299.97/300.34 89879[0:Res:13861.1,11331.0] || disjoint(u,v)* disjoint(complement(u),universal_set)* -> subset(v,w)*. % 299.97/300.34 89945[16:Res:88372.0,11413.0] || disjoint(u,universal_set)* -> member(a,complement(singleton_set(v)))* disjoint(w,v)*. % 299.97/300.34 89984[0:Res:13861.1,11413.0] || disjoint(u,v)* disjoint(complement(u),universal_set)* -> disjoint(w,v)*. % 299.97/300.34 90925[16:Rew:90184.0,57446.0] || disjoint(intersection(complement(u),universal_set),universal_set)* -> member(infinity,union(u,a)). % 299.97/300.34 90926[16:Rew:90184.0,57436.0] || disjoint(intersection(complement(u),universal_set),universal_set)* -> member(a,union(u,a)). % 299.97/300.34 90933[16:Rew:90184.0,57564.0] || disjoint(intersection(universal_set,complement(u)),universal_set)* -> member(infinity,union(a,u)). % 299.97/300.34 90934[16:Rew:90184.0,57554.0] || disjoint(intersection(universal_set,complement(u)),universal_set)* -> member(a,union(a,u)). % 299.97/300.34 91263[3:Rew:90184.0,90135.1] little_set(first(f27(sigma(universal_set),u))) || member(universal_set,range_of(u))* -> . % 299.97/300.34 91333[16:Rew:55080.0,91332.1] || equal(f1(u,a),a)** -> equal(u,a) member(a,u). % 299.97/300.34 91336[16:Rew:55080.0,91335.1] || equal(f1(a,u),a)** -> equal(a,u) member(a,u). % 299.97/300.34 91395[16:MRR:91394.2,10928.0] || equal(f1(universal_set,non_ordered_pair(u,v)),a)** equal(a,u) -> . % 299.97/300.34 91397[16:MRR:91396.2,10928.0] || equal(f1(universal_set,non_ordered_pair(u,v)),a)** equal(a,v) -> . % 299.97/300.34 91903[16:Con:91645.3] || equal(a,u) -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.34 91904[16:Con:91646.3] || equal(a,u) -> equal(v,u) member(f1(v,u),v)*. % 299.97/300.34 91907[16:Res:88372.0,11526.0] || disjoint(u,universal_set)* -> member(a,complement(singleton_set(v)))* disjoint(v,w)*. % 299.97/300.34 91946[0:Res:13861.1,11526.0] || disjoint(u,v)* disjoint(complement(u),universal_set)* -> disjoint(v,w)*. % 299.97/300.34 92583[7:Res:26333.1,19261.0] || subset(universal_set,sigma(intersection(u,v)))* -> member(sigma(infinity),sigma(u)). % 299.97/300.34 92591[16:Res:56369.1,19261.0] || subset(universal_set,sigma(intersection(u,v)))* -> member(singleton_set(a),sigma(u)). % 299.97/300.34 92595[16:Res:56731.1,19261.0] || subset(universal_set,sigma(intersection(u,v)))* -> member(powerset(a),sigma(u)). % 299.97/300.34 92785[7:Res:26333.1,19263.0] || subset(universal_set,sigma(intersection(u,v)))* -> member(sigma(infinity),sigma(v)). % 299.97/300.34 92793[16:Res:56369.1,19263.0] || subset(universal_set,sigma(intersection(u,v)))* -> member(singleton_set(a),sigma(v)). % 299.97/300.34 92797[16:Res:56731.1,19263.0] || subset(universal_set,sigma(intersection(u,v)))* -> member(powerset(a),sigma(v)). % 299.97/300.34 93036[16:Res:13861.1,56181.0] || disjoint(u,v) disjoint(complement(u),v)* -> equal(v,a). % 299.97/300.34 93110[16:Res:92484.0,58999.0] || member(singleton_set(singleton_set(a)),f24(complement(complement(powerset(cross_product(set_a,set_b))))))* -> . % 299.97/300.34 93151[16:Res:58821.0,57678.0] || -> member(a,intersection(powerset(a),u))* equal(intersection(powerset(a),u),a). % 299.97/300.34 93154[16:Res:82575.0,57678.0] || -> member(u,intersection(singleton_set(u),v))* equal(intersection(singleton_set(u),v),a). % 299.97/300.34 93706[16:Res:91848.1,1239.1] || equal(complement(u),a) member(v,w)* -> member(v,u)*. % 299.97/300.34 93938[16:Res:58821.0,57709.0] || -> member(a,intersection(u,powerset(a)))* equal(intersection(u,powerset(a)),a). % 299.97/300.34 93941[16:Res:82575.0,57709.0] || -> member(u,intersection(v,singleton_set(u)))* equal(intersection(v,singleton_set(u)),a). % 299.97/300.34 94265[16:Res:88837.0,70.0] || subset(complement(singleton_set(complement(complement(singleton_set(a))))),u)* -> member(a,u). % 299.97/300.34 94318[0:Res:13861.1,13862.0] || disjoint(u,v) disjoint(complement(u),v)* -> subset(v,w)*. % 299.97/300.34 94443[16:Res:88372.0,14041.0] || disjoint(u,v)* -> member(a,complement(singleton_set(w)))* disjoint(w,v)*. % 299.97/300.34 94448[0:Res:561.1,14041.0] || closed(u,v)* disjoint(u,w)* -> disjoint(range_of(v),w)*. % 299.97/300.34 94464[16:Res:83585.1,14041.0] little_set(u) || disjoint(u,v) -> disjoint(f26(powerset(u)),v)*. % 299.97/300.34 94483[0:Res:13861.1,14041.0] || disjoint(u,v)* disjoint(complement(u),w)* -> disjoint(v,w)*. % 299.97/300.34 94484[0:Res:82450.1,14041.0] || disjoint(complement(u),v)* -> member(w,u)* disjoint(singleton_set(w),v)*. % 299.97/300.34 94491[16:Res:58830.1,14041.0] || disjoint(complement(u),v)* -> member(a,u) disjoint(powerset(a),v)*. % 299.97/300.34 94530[16:Res:88372.0,14042.0] || disjoint(u,v)* -> member(a,complement(singleton_set(v)))* disjoint(w,v)*. % 299.97/300.34 94570[0:Res:13861.1,14042.0] || disjoint(u,v) disjoint(complement(u),v)* -> disjoint(w,v)*. % 299.97/300.34 94651[16:Res:88372.0,14149.0] || disjoint(u,v)* -> member(a,complement(singleton_set(v)))* disjoint(v,w)*. % 299.97/300.34 94691[0:Res:13861.1,14149.0] || disjoint(u,v) disjoint(complement(u),v)* -> disjoint(v,w)*. % 299.97/300.34 94773[16:Res:88372.0,14151.0] || disjoint(u,v)* -> member(a,complement(singleton_set(w)))* disjoint(v,w)*. % 299.97/300.34 94778[0:Res:561.1,14151.0] || closed(u,v)* disjoint(u,w)* -> disjoint(w,range_of(v))*. % 299.97/300.34 94794[16:Res:83585.1,14151.0] little_set(u) || disjoint(u,v) -> disjoint(v,f26(powerset(u)))*. % 299.97/300.34 94813[0:Res:13861.1,14151.0] || disjoint(u,v)* disjoint(complement(u),w)* -> disjoint(w,v)*. % 299.97/300.34 94814[0:Res:82450.1,14151.0] || disjoint(complement(u),v)* -> member(w,u)* disjoint(v,singleton_set(w))*. % 299.97/300.34 94821[16:Res:58830.1,14151.0] || disjoint(complement(u),v)* -> member(a,u) disjoint(v,powerset(a))*. % 299.97/300.34 94831[16:Res:91681.1,70.0] || equal(complement(u),a) subset(u,v)* -> member(infinity,v). % 299.97/300.34 94838[16:Res:91681.1,43745.1] || equal(complement(flip_range_of(complement(flip_range_of(u)))),a)** member(infinity,u) -> . % 299.97/300.34 94849[16:Res:91681.1,6176.0] || equal(complement(converse(u)),a)** -> ordered_pair_predicate(ordered_pair(second(infinity),first(infinity)))*. % 299.97/300.34 94850[16:Res:91681.1,14370.1] || equal(complement(converse(complement(u))),a)** member(infinity,converse(u)) -> . % 299.97/300.34 94871[16:Res:91681.1,19263.0] || equal(complement(sigma(intersection(u,v))),a)** -> member(infinity,sigma(v)). % 299.97/300.34 94872[16:Res:91681.1,19261.0] || equal(complement(sigma(intersection(u,v))),a)** -> member(infinity,sigma(u)). % 299.97/300.34 94873[16:Res:91681.1,274.0] || equal(complement(restrict(u,v)),a)** -> member(infinity,cross_product(v,universal_set))*. % 299.97/300.34 94879[16:Res:91681.1,1354.0] || equal(complement(image(u,cross_product(v,w))),a)** -> member(infinity,w). % 299.97/300.34 94910[16:Rew:36.0,94869.0] || equal(union(u,v),a) member(infinity,union(u,v))* -> . % 299.97/300.34 94939[16:Res:88690.1,57998.0] || equal(f24(complement(powerset(u))),a)** -> equal(complement(powerset(u)),a). % 299.97/300.34 94941[16:Res:13860.1,57998.0] || disjoint(universal_set,f24(complement(powerset(u))))* -> equal(complement(powerset(u)),a). % 299.97/300.34 94942[16:Res:1513.1,57998.0] || disjoint(f24(complement(powerset(u))),universal_set)* -> equal(complement(powerset(u)),a). % 299.97/300.34 95359[16:Res:92031.1,70.0] || equal(complement(u),a) subset(u,v)* -> member(a,v). % 299.97/300.34 95366[16:Res:92031.1,43745.1] || equal(complement(flip_range_of(complement(flip_range_of(u)))),a)** member(a,u) -> . % 299.97/300.34 95377[16:Res:92031.1,6176.0] || equal(complement(converse(u)),a)** -> ordered_pair_predicate(ordered_pair(second(a),first(a)))*. % 299.97/300.34 95378[16:Res:92031.1,14370.1] || equal(complement(converse(complement(u))),a)** member(a,converse(u)) -> . % 299.97/300.34 95399[16:Res:92031.1,19263.0] || equal(complement(sigma(intersection(u,v))),a)** -> member(a,sigma(v)). % 299.97/300.34 95400[16:Res:92031.1,19261.0] || equal(complement(sigma(intersection(u,v))),a)** -> member(a,sigma(u)). % 299.97/300.34 95401[16:Res:92031.1,274.0] || equal(complement(restrict(u,v)),a)** -> member(a,cross_product(v,universal_set))*. % 299.97/300.34 95407[16:Res:92031.1,1354.0] || equal(complement(image(u,cross_product(v,w))),a)** -> member(a,w). % 299.97/300.34 95447[16:Rew:36.0,95397.0] || equal(union(u,v),a) member(a,union(u,v))* -> . % 299.97/300.34 95466[16:SpL:92186.1,116.1] function(u) || equal(a,u) function(a) -> one_to_one_function(u)*. % 299.97/300.34 95479[16:SpR:92193.1,9090.0] || equal(a,u) -> disjoint(intersection(universal_set,complement(v)),union(u,v))*. % 299.97/300.34 95480[16:SpR:92193.1,9159.0] || equal(a,u) -> disjoint(union(u,v),intersection(universal_set,complement(v)))*. % 299.97/300.34 95493[16:SpR:92193.1,10547.0] || equal(a,u) -> disjoint(intersection(universal_set,complement(singleton_set(u))),successor(u))*. % 299.97/300.34 95494[16:SpR:92193.1,10609.0] || equal(a,u) -> disjoint(successor(u),intersection(universal_set,complement(singleton_set(u))))*. % 299.97/300.34 95539[16:SpR:92193.1,57402.0] || equal(intersection(complement(u),universal_set),a)** -> equal(union(u,a),universal_set). % 299.97/300.34 95540[16:SpR:92193.1,57520.0] || equal(intersection(universal_set,complement(u)),a)** -> equal(union(a,u),universal_set). % 299.97/300.34 95545[16:SpR:92193.1,9090.0] || equal(a,u) -> disjoint(intersection(complement(v),universal_set),union(v,u))*. % 299.97/300.34 95546[16:SpR:92193.1,9159.0] || equal(a,u) -> disjoint(union(v,u),intersection(complement(v),universal_set))*. % 299.97/300.34 95555[16:SpR:92193.1,10547.0] || equal(singleton_set(u),a) -> disjoint(intersection(complement(u),universal_set),successor(u))*. % 299.97/300.34 95556[16:SpR:92193.1,10609.0] || equal(singleton_set(u),a) -> disjoint(successor(u),intersection(complement(u),universal_set))*. % 299.97/300.34 96145[6:SpL:2390.1,11587.0] || equal(singleton_set(f19(singleton_set(u))),f1(u,universal_set))** -> single_valued_set(singleton_set(u)). % 299.97/300.34 96147[6:SpL:2390.1,34934.0] || equal(singleton_set(f19(singleton_set(u))),f1(universal_set,u))** -> single_valued_set(singleton_set(u)). % 299.97/300.34 96313[16:Res:1079.2,92502.1] little_set(u) || equal(u,v)* equal(singleton_set(v),a)** -> . % 299.97/300.34 96483[16:Res:1150.2,92502.1] || member(u,v)* equal(sigma(v),a) -> subset(u,w)*. % 299.97/300.34 96484[16:Res:1149.2,92502.1] || member(u,v)* equal(sigma(v),a) -> disjoint(u,w)*. % 299.97/300.34 96485[16:Res:1157.2,92502.1] || member(u,v)* equal(sigma(v),a) -> disjoint(w,u)*. % 299.97/300.34 96489[16:Res:55062.2,92502.1] || member(u,v)* equal(sigma(v),a) -> equal(u,a). % 299.97/300.34 97066[16:SSi:96976.0,26330.0,69.0,63.1,15957.0] || -> member(a,sigma(converse(powerset(ordered_pair(second(sigma(infinity)),first(sigma(infinity)))))))*. % 299.97/300.34 97067[16:SSi:96977.0,55031.0,150.0,159.0,991.0,55026.0] || -> member(a,sigma(converse(powerset(ordered_pair(second(singleton_set(a)),first(singleton_set(a)))))))*. % 299.97/300.34 97544[16:Res:625.1,58824.0] || -> subset(u,complement(powerset(a))) equal(f17(u,complement(powerset(a))),a)**. % 299.97/300.34 97817[16:Res:55173.1,2938.0] || disjoint(complement(singleton_set(u)),universal_set)* -> equal(f16(a,singleton_set(u)),u). % 299.97/300.34 97818[16:Res:55172.1,2938.0] || disjoint(universal_set,complement(singleton_set(u)))* -> equal(f16(a,singleton_set(u)),u). % 299.97/300.34 98241[16:Res:98038.1,14151.0] || equal(u,a) disjoint(set_b,v) -> disjoint(v,singleton_set(u))*. % 299.97/300.34 98244[16:Res:98038.1,14041.0] || equal(u,a) disjoint(set_b,v) -> disjoint(singleton_set(u),v)*. % 299.97/300.34 98322[0:Obv:98278.1] || subset(u,v)* -> subset(u,complement(singleton_set(w)))* member(w,v)*. % 299.97/300.34 98798[16:Res:98042.1,1240.2] || disjoint(set_b,u) subset(v,a)* member(v,u)* -> . % 299.97/300.34 98879[16:Res:98596.1,14151.0] || equal(complement(u),a) disjoint(u,v)* -> disjoint(v,universal_set)*. % 299.97/300.34 98882[16:Res:98596.1,14041.0] || equal(complement(u),a) disjoint(u,v)* -> disjoint(universal_set,v)*. % 299.97/300.34 99069[16:SpR:57402.0,98785.1] || disjoint(set_b,intersection(complement(u),universal_set))* -> member(a,union(u,a)). % 299.97/300.34 99070[16:SpR:57520.0,98785.1] || disjoint(set_b,intersection(universal_set,complement(u)))* -> member(a,union(a,u)). % 299.97/300.34 99088[16:Res:98785.1,70.0] || disjoint(set_b,u) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 99234[16:SSi:99194.0,159.0,991.0,55026.0] || equal(non_ordered_pair(u,v),a) disjoint(set_b,ordered_pair(u,v))* -> . % 299.97/300.34 99435[16:MRR:99273.2,55029.0] ordered_pair_predicate(u) || equal(complement(v),a) -> member(u,converse(v))*. % 299.97/300.34 99436[3:SSi:99299.0,63.0,15957.0] || disjoint(converse(complement(u)),converse(complement(u)))* -> member(infinity,converse(u)). % 299.97/300.34 99440[16:SSi:99380.0,6740.0,159.0,991.0,55026.0,150.0,55031.0,150.0,159.0,991.0,55026.1] || disjoint(universal_set,converse(complement(u))) -> member(singleton_set(singleton_set(a)),converse(u))*. % 299.97/300.34 99935[2:MRR:99794.0,37.1] || member(u,f3(f8(u,v)))* member(u,domain_of(v)) -> . % 299.97/300.34 100015[16:Res:59019.2,20934.0] || subset(u,range_of(cross_product(f1(u,a),v)))* -> equal(u,a). % 299.97/300.34 100078[16:SpL:57402.0,99092.0] || disjoint(set_b,union(u,a)) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 100079[16:SpL:57520.0,99092.0] || disjoint(set_b,union(a,u)) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 100092[0:Res:98305.0,14151.0] || disjoint(complement(singleton_set(u)),v)* -> member(u,w)* disjoint(v,w)*. % 299.97/300.34 100093[0:Res:98305.0,14149.0] || disjoint(complement(singleton_set(u)),v)* -> member(u,v) disjoint(v,w)*. % 299.97/300.34 100094[0:Res:98305.0,14042.0] || disjoint(complement(singleton_set(u)),v)* -> member(u,v) disjoint(w,v)*. % 299.97/300.34 100095[0:Res:98305.0,14041.0] || disjoint(complement(singleton_set(u)),v)* -> member(u,w)* disjoint(w,v)*. % 299.97/300.34 100096[0:Res:98305.0,13862.0] || disjoint(complement(singleton_set(u)),v)* -> member(u,v) subset(v,w)*. % 299.97/300.34 100097[16:Res:98305.0,56181.0] || disjoint(complement(singleton_set(u)),v)* -> member(u,v) equal(v,a). % 299.97/300.34 100098[0:Res:98305.0,11526.0] || disjoint(complement(singleton_set(u)),universal_set)* -> member(u,v)* disjoint(v,w)*. % 299.97/300.34 100099[0:Res:98305.0,11413.0] || disjoint(complement(singleton_set(u)),universal_set)* -> member(u,v)* disjoint(w,v)*. % 299.97/300.34 100100[0:Res:98305.0,11331.0] || disjoint(complement(singleton_set(u)),universal_set)* -> member(u,v)* subset(v,w)*. % 299.97/300.34 100101[16:Res:98305.0,56180.0] || disjoint(complement(singleton_set(u)),universal_set)* -> member(u,v)* equal(v,a). % 299.97/300.34 100140[16:Res:98305.0,57516.0] || -> member(u,complement(complement(singleton_set(u))))* equal(complement(complement(singleton_set(u))),a). % 299.97/300.34 100141[16:Res:98305.0,56729.0] || -> member(u,complement(complement(singleton_set(u))))* member(powerset(a),complement(singleton_set(u)))*. % 299.97/300.34 100142[3:Res:98305.0,41305.0] || disjoint(universal_set,complement(singleton_set(u))) -> member(u,complement(complement(singleton_set(u))))*. % 299.97/300.34 100236[16:Res:100124.1,70.0] || subset(complement(singleton_set(u)),v)* -> member(u,infinity) member(a,v). % 299.97/300.34 100285[16:Res:56165.2,58824.0] || subset(u,powerset(a))* -> equal(u,a) equal(f24(u),a). % 299.97/300.34 100326[0:Res:100132.1,70.0] || subset(complement(singleton_set(u)),v)* -> member(u,set_a) member(a,v). % 299.97/300.34 100355[16:Res:100137.1,70.0] || subset(complement(singleton_set(u)),v)* -> member(u,set_b) member(a,v). % 299.97/300.34 100452[16:MRR:100411.1,83797.0] || subset(universal_set,powerset(singleton_set(u)))* -> equal(f24(ordered_pair(universal_set,v)),u)*. % 299.97/300.34 100628[16:Res:59021.2,20934.0] || subset(u,range_of(cross_product(f1(a,u),v)))* -> equal(a,u). % 299.97/300.34 100701[3:Res:100556.1,14151.0] || equal(u,a) disjoint(set_a,v) -> disjoint(v,singleton_set(u))*. % 299.97/300.34 100704[3:Res:100556.1,14041.0] || equal(u,a) disjoint(set_a,v) -> disjoint(singleton_set(u),v)*. % 299.97/300.34 100968[16:Res:59050.1,10966.0] || -> equal(intersection(u,v),a) member(f1(a,intersection(u,v)),universal_set)*. % 299.97/300.34 101084[16:Res:100560.1,1240.2] || disjoint(set_a,u) subset(v,a)* member(v,u)* -> . % 299.97/300.34 101261[16:SpR:57402.0,101071.1] || disjoint(set_a,intersection(complement(u),universal_set))* -> member(a,union(u,a)). % 299.97/300.34 101262[16:SpR:57520.0,101071.1] || disjoint(set_a,intersection(universal_set,complement(u)))* -> member(a,union(a,u)). % 299.97/300.34 101281[16:Res:101071.1,70.0] || disjoint(set_a,u) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 101519[16:SSi:101476.0,159.0,991.0,55026.0] || equal(non_ordered_pair(u,v),a) disjoint(set_a,ordered_pair(u,v))* -> . % 299.97/300.34 101561[16:Res:59053.1,10966.0] || -> equal(restrict(u,v),a) member(f1(a,restrict(u,v)),universal_set)*. % 299.97/300.34 101728[16:Res:57867.1,20934.0] || disjoint(complement(range_of(cross_product(f24(u),v))),u)* -> equal(u,a). % 299.97/300.34 102062[16:SpL:57402.0,101285.0] || disjoint(set_a,union(u,a)) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 102063[16:SpL:57520.0,101285.0] || disjoint(set_a,union(a,u)) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 102214[16:Res:102153.1,14151.0] || equal(u,a) disjoint(infinity,v) -> disjoint(v,singleton_set(u))*. % 299.97/300.34 102217[16:Res:102153.1,14041.0] || equal(u,a) disjoint(infinity,v) -> disjoint(singleton_set(u),v)*. % 299.97/300.34 102371[16:Res:102157.1,1240.2] || disjoint(infinity,u) subset(v,a)* member(v,u)* -> . % 299.97/300.34 102477[16:SpR:57402.0,102358.1] || disjoint(infinity,intersection(complement(u),universal_set))* -> member(a,union(u,a)). % 299.97/300.34 102478[16:SpR:57520.0,102358.1] || disjoint(infinity,intersection(universal_set,complement(u)))* -> member(a,union(a,u)). % 299.97/300.34 102498[16:Res:102358.1,70.0] || disjoint(infinity,u) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 102650[16:SSi:102607.0,159.0,991.0,55026.0] || equal(non_ordered_pair(u,v),a) disjoint(infinity,ordered_pair(u,v))* -> . % 299.97/300.34 102874[16:SpL:57402.0,102502.0] || disjoint(infinity,union(u,a)) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 102875[16:SpL:57520.0,102502.0] || disjoint(infinity,union(a,u)) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 103242[3:SSi:103217.0,150.0,63.0,15957.0] || equal(singleton_set(infinity),singleton_set(u)) -> member(infinity,sigma(ordered_pair(u,v)))*. % 299.97/300.34 103243[3:SSi:103228.0,5742.0,150.0,63.0,15957.1] || -> member(infinity,sigma(converse(powerset(ordered_pair(second(singleton_set(infinity)),first(singleton_set(infinity)))))))*. % 299.97/300.34 103399[16:Res:103383.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(complement(singleton_set(infinity)))))* -> . % 299.97/300.34 103400[16:Res:103383.0,68.0] || member(complement(singleton_set(complement(singleton_set(infinity)))),u)* -> member(a,sigma(u)). % 299.97/300.34 103516[0:SpL:113.0,16184.0] || member(u,domain_of(restrict(cross_product(v,w),x)))* -> member(u,v). % 299.97/300.34 104003[0:SpL:113.0,17439.0] || member(u,range_of(restrict(cross_product(v,w),x)))* -> member(u,w). % 299.97/300.34 104223[16:Res:104206.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(complement(singleton_set(set_b)))))* -> . % 299.97/300.34 104224[16:Res:104206.0,68.0] || member(complement(singleton_set(complement(singleton_set(set_b)))),u)* -> member(a,sigma(u)). % 299.97/300.34 104700[3:SSi:104571.0,63.0,15957.0] || disjoint(union(u,v),union(u,v))* -> member(infinity,complement(u)). % 299.97/300.34 104705[16:SSi:104653.0,6740.0,159.0,991.0,55026.0,150.0,55031.0,150.0,159.0,991.0,55026.1] || disjoint(universal_set,union(u,v))* -> member(singleton_set(singleton_set(a)),complement(u))*. % 299.97/300.34 104880[0:SpR:60.0,18827.1] little_set(u) || -> member(u,successor(v)) member(u,complement(singleton_set(v)))*. % 299.97/300.34 105046[3:SSi:104915.0,63.0,15957.0] || disjoint(union(u,v),union(u,v))* -> member(infinity,complement(v)). % 299.97/300.34 105051[16:SSi:104997.0,6740.0,159.0,991.0,55026.0,150.0,55031.0,150.0,159.0,991.0,55026.1] || disjoint(universal_set,union(u,v))* -> member(singleton_set(singleton_set(a)),complement(v))*. % 299.97/300.34 105486[16:Res:105469.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(complement(singleton_set(set_a)))))* -> . % 299.97/300.34 105487[16:Res:105469.0,68.0] || member(complement(singleton_set(complement(singleton_set(set_a)))),u)* -> member(a,sigma(u)). % 299.97/300.34 1505[0:Res:9.2,1238.0] little_set(u) || equal(u,v)* disjoint(non_ordered_pair(v,w),universal_set)* -> . % 299.97/300.34 1504[0:Res:10.2,1238.0] little_set(u) || equal(u,v)* disjoint(non_ordered_pair(w,v),universal_set)* -> . % 299.97/300.34 629[0:Res:395.0,34.1] || member(f17(u,complement(complement(v))),v)* -> subset(u,complement(complement(v))). % 299.97/300.34 1481[3:SpL:36.0,1416.0] || disjoint(union(u,v),set_a) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 1180[0:Res:1134.1,68.0] || member(set_a,u) member(sigma(u),v)* -> member(a,sigma(v)). % 299.97/300.34 1198[0:Res:1134.1,98.0] || member(set_a,u) member(a,v) disjoint(v,sigma(u))* -> . % 299.97/300.34 2664[0:SpR:36.0,1521.1] || disjoint(intersection(complement(u),complement(v)),universal_set)* -> subset(w,union(u,v))*. % 299.97/300.34 2666[0:SpR:36.0,2202.1] || disjoint(intersection(complement(u),complement(v)),universal_set)* -> member(a,union(u,v)). % 299.97/300.34 3230[0:Res:46.1,1444.0] || member(u,converse(singleton_set(v)))* -> equal(ordered_pair(second(u),first(u)),v)*. % 299.97/300.34 5400[0:Res:4258.0,34.1] || member(f1(complement(complement(u)),universal_set),u)* -> equal(complement(complement(u)),universal_set). % 299.97/300.34 8091[0:MRR:8069.0,213.1] || subset(f17(complement(powerset(u)),v),u)* -> subset(complement(powerset(u)),v). % 299.97/300.34 8207[0:MRR:8184.0,4.1] || equal(u,v)* member(u,w)* disjoint(w,singleton_set(v))* -> . % 299.97/300.34 8211[0:MRR:8195.0,213.1] || equal(f17(complement(singleton_set(u)),v),u)** -> subset(complement(singleton_set(u)),v). % 299.97/300.34 9083[0:MRR:9069.0,203.1] || equal(f23(u,complement(singleton_set(v))),v)** -> disjoint(u,complement(singleton_set(v))). % 299.97/300.34 9084[0:MRR:9068.0,203.1] || subset(f23(u,complement(powerset(v))),v)* -> disjoint(u,complement(powerset(v))). % 299.97/300.34 9152[0:MRR:9138.0,203.1] || equal(f23(complement(singleton_set(u)),v),u)** -> disjoint(complement(singleton_set(u)),v). % 299.97/300.34 9153[0:MRR:9137.0,203.1] || subset(f23(complement(powerset(u)),v),u)* -> disjoint(complement(powerset(u)),v). % 299.97/300.34 9407[0:Res:71.1,4549.0] || equal(u,f17(flip_range_of(v),w))* -> subset(flip_range_of(v),w) ordered_pair_predicate(u)*. % 299.97/300.34 9408[0:Res:99.1,4549.0] || equal(u,f23(flip_range_of(v),w))* -> disjoint(flip_range_of(v),w) ordered_pair_predicate(u)*. % 299.97/300.34 9417[0:Res:100.1,4549.0] || equal(u,f23(v,flip_range_of(w)))* -> disjoint(v,flip_range_of(w)) ordered_pair_predicate(u)*. % 299.97/300.34 9688[0:Res:71.1,4578.0] || equal(u,f17(rotate_right(v),w))* -> subset(rotate_right(v),w) ordered_pair_predicate(u)*. % 299.97/300.34 9689[0:Res:99.1,4578.0] || equal(u,f23(rotate_right(v),w))* -> disjoint(rotate_right(v),w) ordered_pair_predicate(u)*. % 299.97/300.34 9698[0:Res:100.1,4578.0] || equal(u,f23(v,rotate_right(w)))* -> disjoint(v,rotate_right(w)) ordered_pair_predicate(u)*. % 299.97/300.34 10234[0:Res:960.2,76.0] || member(u,infinity) subset(infinity,powerset(v)) -> subset(successor(u),v)*. % 299.97/300.34 10235[0:Res:960.2,1444.0] || member(u,infinity)* subset(infinity,singleton_set(v))* -> equal(successor(u),v)*. % 299.97/300.34 10787[2:Rew:5392.0,3023.1] little_set(complement(estin)) || subset(universal_set,u) -> member(a,sigma(powerset(u)))*. % 299.97/300.34 10869[6:EmS:10805.0,4549.2] || equal(universal_set,u)* equal(u,v)* member(v,flip_range_of(w))* -> . % 299.97/300.34 10870[6:EmS:10805.0,4578.2] || equal(universal_set,u)* equal(u,v)* member(v,rotate_right(w))* -> . % 299.97/300.34 10871[6:EmS:10805.0,117.1] || equal(f28(u,v,w),universal_set) member(u,apply(v,w))* -> . % 299.97/300.34 10872[6:EmS:10805.0,92.1] || equal(f22(u,v,w),universal_set) member(u,image(v,w))* -> . % 299.97/300.34 10902[6:EmS:10806.0,131.1] || equal(f29(u,v,w),universal_set) member(u,compose(v,w))* -> . % 299.97/300.34 10903[6:EmS:10806.0,132.1] || equal(f30(u,v,w),universal_set) member(u,compose(v,w))* -> . % 299.97/300.34 10904[6:EmS:10806.0,133.1] || equal(f31(u,v,w),universal_set) member(u,compose(v,w))* -> . % 299.97/300.34 11009[2:Res:94.1,10966.0] || member(u,image(v,w)) -> member(first(f22(u,v,w)),universal_set)*. % 299.97/300.34 11341[0:Res:955.2,76.0] || subset(u,powerset(v)) -> subset(u,w) subset(f17(u,w),v)*. % 299.97/300.34 11342[0:Res:955.2,1444.0] || subset(u,singleton_set(v))* -> subset(u,w) equal(f17(u,w),v)*. % 299.97/300.34 11423[0:Res:961.2,76.0] || subset(u,powerset(v)) -> disjoint(w,u) subset(f23(w,u),v)*. % 299.97/300.34 11424[0:Res:961.2,1444.0] || subset(u,singleton_set(v))* -> disjoint(w,u) equal(f23(w,u),v)*. % 299.97/300.34 11536[0:Res:954.2,76.0] || subset(u,powerset(v)) -> disjoint(u,w) subset(f23(u,w),v)*. % 299.97/300.34 11537[0:Res:954.2,1444.0] || subset(u,singleton_set(v))* -> disjoint(u,w) equal(f23(u,w),v)*. % 299.97/300.34 11761[0:SpR:36.0,11437.1] || subset(u,intersection(complement(v),complement(w)))* -> disjoint(union(v,w),u). % 299.97/300.34 11781[0:Res:11437.1,1239.1] || subset(complement(u),v)* member(w,complement(v))* -> member(w,u)*. % 299.97/300.34 11859[0:SpR:36.0,11550.1] || subset(u,intersection(complement(v),complement(w)))* -> disjoint(u,union(v,w)). % 299.97/300.34 12287[0:MRR:12274.0,197.1] || member(u,infinity) disjoint(complement(v),infinity) -> member(successor(u),v)*. % 299.97/300.34 12521[3:SoR:6199.0,376.1] ordered_pair_predicate(first(u)) || member(u,v) -> member(first(u),domain_of(v))*. % 299.97/300.34 12552[3:SoR:6200.0,376.1] ordered_pair_predicate(second(u)) || member(u,v) -> member(second(u),range_of(v))*. % 299.97/300.34 12979[2:Res:10999.1,70.0] || subset(universal_set,u) -> single_valued_set(v) member(ordered_pair(f19(v),f21(v)),u)*. % 299.97/300.34 12991[2:Res:11000.1,70.0] || subset(universal_set,u) -> single_valued_set(v) member(ordered_pair(f19(v),f20(v)),u)*. % 299.97/300.34 13288[2:Res:538.1,10966.0] || -> disjoint(cross_product(u,v),w) member(second(f23(cross_product(u,v),w)),universal_set)*. % 299.97/300.34 13331[2:Res:543.1,10966.0] || -> disjoint(u,cross_product(v,w)) member(second(f23(u,cross_product(v,w))),universal_set)*. % 299.97/300.34 13405[2:Res:551.1,10966.0] || -> disjoint(cross_product(u,v),w) member(first(f23(cross_product(u,v),w)),universal_set)*. % 299.97/300.34 13483[2:Res:556.1,10966.0] || -> disjoint(u,cross_product(v,w)) member(first(f23(u,cross_product(v,w))),universal_set)*. % 299.97/300.34 13624[2:Res:539.1,10966.0] || -> subset(cross_product(u,v),w) member(second(f17(cross_product(u,v),w)),universal_set)*. % 299.97/300.34 13687[2:Res:552.1,10966.0] || -> subset(cross_product(u,v),w) member(first(f17(cross_product(u,v),w)),universal_set)*. % 299.97/300.34 13792[0:Res:13775.1,684.0] || member(f17(u,powerset(sigma(v))),v)* -> subset(u,powerset(sigma(v))). % 299.97/300.34 13869[0:MRR:13844.0,213.1] || disjoint(complement(u),v) -> member(f17(v,w),u)* subset(v,w). % 299.97/300.34 13981[0:SpR:36.0,13861.1] || disjoint(intersection(complement(u),complement(v)),w)* -> subset(w,union(u,v)). % 299.97/300.34 13999[0:Res:13861.1,684.0] || disjoint(u,f17(v,powerset(complement(u))))* -> subset(v,powerset(complement(u))). % 299.97/300.34 14051[0:MRR:14019.0,203.1] || disjoint(complement(u),v) -> member(f23(w,v),u)* disjoint(w,v). % 299.97/300.34 14084[0:SpR:36.0,13992.1] || disjoint(intersection(complement(u),complement(v)),set_a)* -> member(a,union(u,v)). % 299.97/300.34 14091[0:Res:13992.1,98.0] || disjoint(u,set_a) member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 14092[0:Res:13992.1,68.0] || disjoint(u,set_a) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 14160[0:MRR:14127.0,203.1] || disjoint(complement(u),v) -> member(f23(v,w),u)* disjoint(v,w). % 299.97/300.34 14447[6:SpL:372.0,10932.0] || equal(f1(ordered_pair(singleton_set(u),non_ordered_pair(u,v)),universal_set),ordered_pair(u,v))** -> . % 299.97/300.34 15202[0:Res:965.2,1238.0] || member(u,domain_of(v))* subset(v,w)* disjoint(w,universal_set) -> . % 299.97/300.34 15253[0:Res:964.2,1238.0] || member(u,sigma(v))* subset(v,w)* disjoint(w,universal_set) -> . % 299.97/300.34 15478[0:Res:963.2,1238.0] || member(u,range_of(v))* subset(v,w)* disjoint(w,universal_set) -> . % 299.97/300.34 15862[2:Res:9.2,15679.1] little_set(set_b) || equal(set_b,u) disjoint(universal_set,non_ordered_pair(u,v))* -> . % 299.97/300.34 15863[2:Res:10.2,15679.1] little_set(set_b) || equal(set_b,u) disjoint(universal_set,non_ordered_pair(v,u))* -> . % 299.97/300.34 15887[2:Res:9.2,15721.1] little_set(set_a) || equal(set_a,u) disjoint(universal_set,non_ordered_pair(u,v))* -> . % 299.97/300.34 15888[2:Res:10.2,15721.1] little_set(set_a) || equal(set_a,u) disjoint(universal_set,non_ordered_pair(v,u))* -> . % 299.97/300.34 15941[2:SpL:36.0,15933.0] || disjoint(universal_set,union(u,v)) -> member(infinity,intersection(complement(u),complement(v)))*. % 299.97/300.34 17083[0:Res:1155.2,15955.0] || member(u,infinity) member(infinity,powerset(v)) -> member(successor(u),v)*. % 299.97/300.34 17084[0:Res:1150.2,15955.0] || member(u,powerset(v)) -> subset(u,w) member(f17(u,w),v)*. % 299.97/300.34 17085[0:Res:1149.2,15955.0] || member(u,powerset(v)) -> disjoint(u,w) member(f23(u,w),v)*. % 299.97/300.34 17086[0:Res:1157.2,15955.0] || member(u,powerset(v)) -> disjoint(w,u) member(f23(w,u),v)*. % 299.97/300.34 17626[2:Res:965.2,17597.0] || member(u,domain_of(v)) subset(v,image(f8(u,v),w))* -> . % 299.97/300.34 17627[2:Res:964.2,17597.0] || member(u,sigma(v)) subset(v,image(f16(u,v),w))* -> . % 299.97/300.34 17628[2:Res:963.2,17597.0] || member(u,range_of(v)) subset(v,image(f27(u,v),w))* -> . % 299.97/300.34 17688[2:Res:965.2,17668.0] || member(u,domain_of(v)) subset(v,apply(w,f8(u,v)))* -> . % 299.97/300.34 17689[2:Res:964.2,17668.0] || member(u,sigma(v)) subset(v,apply(w,f16(u,v)))* -> . % 299.97/300.34 17690[2:Res:963.2,17668.0] || member(u,range_of(v)) subset(v,apply(w,f27(u,v)))* -> . % 299.97/300.34 18189[2:Res:4115.1,17676.0] ordered_pair_predicate(u) || -> member(u,converse(complement(apply_to_two_arguments(v,second(u),first(u)))))*. % 299.97/300.34 18868[3:SSi:18836.0,63.0,15957.0] || disjoint(universal_set,intersection(complement(u),complement(v)))* -> member(infinity,union(u,v)). % 299.97/300.34 19262[0:Obv:19258.0] || subset(u,v)* member(w,sigma(u))* -> member(w,sigma(v))*. % 299.97/300.34 19752[0:Obv:19744.0] || subset(u,v)* member(w,domain_of(u))* disjoint(v,u) -> . % 299.97/300.34 20010[0:Obv:20003.0] || subset(u,v)* member(w,range_of(u))* disjoint(v,u) -> . % 299.97/300.34 20271[0:Obv:20264.0] || subset(u,v)* member(w,sigma(u))* disjoint(v,u) -> . % 299.97/300.34 20379[0:Res:1161.2,20268.0] || member(u,domain_of(v))* member(v,w)* disjoint(w,w)* -> . % 299.97/300.34 20494[0:Res:77.2,20288.0] little_set(set_b) || subset(set_b,u) disjoint(powerset(u),powerset(u))* -> . % 299.97/300.34 20495[0:Res:1079.2,20288.0] little_set(set_b) || equal(set_b,u) disjoint(singleton_set(u),singleton_set(u))* -> . % 299.97/300.34 20502[0:Res:26.1,20288.0] || member(set_b,second(u)) disjoint(f7(set_b,u),f7(set_b,u))* -> . % 299.97/300.34 20503[0:Res:21.1,20288.0] || member(set_b,first(u)) disjoint(f4(set_b,u),f4(set_b,u))* -> . % 299.97/300.34 20504[0:Res:67.1,20288.0] || member(set_b,sigma(u)) disjoint(f16(set_b,u),f16(set_b,u))* -> . % 299.97/300.34 20515[0:Res:77.2,20289.0] little_set(set_a) || subset(set_a,u) disjoint(powerset(u),powerset(u))* -> . % 299.97/300.34 20516[0:Res:1079.2,20289.0] little_set(set_a) || equal(set_a,u) disjoint(singleton_set(u),singleton_set(u))* -> . % 299.97/300.34 20523[0:Res:26.1,20289.0] || member(set_a,second(u)) disjoint(f7(set_a,u),f7(set_a,u))* -> . % 299.97/300.34 20524[0:Res:21.1,20289.0] || member(set_a,first(u)) disjoint(f4(set_a,u),f4(set_a,u))* -> . % 299.97/300.34 20525[0:Res:67.1,20289.0] || member(set_a,sigma(u)) disjoint(f16(set_a,u),f16(set_a,u))* -> . % 299.97/300.34 20598[2:Res:26.1,20309.0] || member(infinity,second(u)) disjoint(f7(infinity,u),f7(infinity,u))* -> . % 299.97/300.34 20599[2:Res:21.1,20309.0] || member(infinity,first(u)) disjoint(f4(infinity,u),f4(infinity,u))* -> . % 299.97/300.34 20600[2:Res:67.1,20309.0] || member(infinity,sigma(u)) disjoint(f16(infinity,u),f16(infinity,u))* -> . % 299.97/300.34 20610[3:SSi:20603.0,63.0,15957.0] || equal(singleton_set(u),infinity) disjoint(ordered_pair(u,v),ordered_pair(u,v))* -> . % 299.97/300.34 20720[3:SpL:36.0,20716.0] || disjoint(union(u,v),universal_set) -> member(infinity,intersection(complement(u),complement(v)))*. % 299.97/300.34 20955[2:Res:956.2,20934.0] || subset(u,range_of(cross_product(ordered_pair(f19(u),f21(u)),v)))* -> single_valued_set(u). % 299.97/300.34 20956[2:Res:957.2,20934.0] || subset(u,range_of(cross_product(ordered_pair(f19(u),f20(u)),v)))* -> single_valued_set(u). % 299.97/300.34 22365[0:Obv:22289.0] little_set(u) || member(v,u) -> member(v,first(singleton_set(singleton_set(u))))*. % 299.97/300.34 22601[2:Res:5054.3,6742.0] little_set(u) little_set(v) || member(first(ordered_pair(v,u)),u)* -> . % 299.97/300.34 22611[0:Obv:22533.0] little_set(u) || member(v,u) -> member(v,second(singleton_set(singleton_set(u))))*. % 299.97/300.34 23212[0:Rew:95.1,23164.1] || member(u,image(v,intersection(cross_product(w,x),y)))* -> member(u,x). % 299.97/300.34 23297[0:Rew:95.1,23249.1] || member(u,image(v,intersection(w,cross_product(x,y))))* -> member(u,y). % 299.97/300.34 23382[0:Rew:119.1,23333.1] || member(u,apply(intersection(cross_product(v,w),x),y))* -> member(y,v). % 299.97/300.34 23483[0:Rew:119.1,23434.1] || member(u,apply(intersection(v,cross_product(w,x)),y))* -> member(y,w). % 299.97/300.34 23689[6:SpR:11486.1,11645.0] || equal(u,universal_set) -> disjoint(intersection(intersection(complement(u),universal_set),v),successor(u))*. % 299.97/300.34 23847[6:SpR:11486.1,11658.0] || equal(u,universal_set) -> disjoint(restrict(intersection(complement(u),universal_set),v),successor(u))*. % 299.97/300.34 23914[6:SpR:11486.1,11744.0] || equal(u,universal_set) -> disjoint(successor(u),intersection(intersection(complement(u),universal_set),v))*. % 299.97/300.34 24259[6:SpR:11486.1,11755.0] || equal(u,universal_set) -> disjoint(successor(u),restrict(intersection(complement(u),universal_set),v))*. % 299.97/300.34 24409[6:SpR:11486.1,11837.0] || equal(u,universal_set) -> disjoint(intersection(v,intersection(complement(u),universal_set)),successor(u))*. % 299.97/300.34 24503[6:SpR:11486.1,12003.0] || equal(u,universal_set) -> disjoint(successor(u),intersection(v,intersection(complement(u),universal_set)))*. % 299.97/300.34 24585[0:EqR:4117.1] ordered_pair_predicate(u) || -> member(u,converse(non_ordered_pair(v,ordered_pair(second(u),first(u)))))*. % 299.97/300.34 24639[0:EqR:4118.1] ordered_pair_predicate(u) || -> member(u,converse(non_ordered_pair(ordered_pair(second(u),first(u)),v)))*. % 299.97/300.34 25824[2:Res:954.2,25810.0] || subset(u,image(v,cross_product(f23(u,w),x)))* -> disjoint(u,w). % 299.97/300.34 25825[2:Res:961.2,25810.0] || subset(u,image(v,cross_product(f23(w,u),x)))* -> disjoint(w,u). % 299.97/300.34 25826[2:Res:955.2,25810.0] || subset(u,image(v,cross_product(f17(u,w),x)))* -> subset(u,w). % 299.97/300.34 25828[2:Res:960.2,25810.0] || member(u,infinity) subset(infinity,image(v,cross_product(successor(u),w)))* -> . % 299.97/300.34 25834[2:Res:46.1,25810.0] || member(u,converse(image(v,cross_product(ordered_pair(second(u),first(u)),w))))* -> . % 299.97/300.34 25961[2:Res:954.2,25946.0] || subset(u,image(intersection(f23(u,v),w),x))* -> disjoint(u,v). % 299.97/300.34 25962[2:Res:961.2,25946.0] || subset(u,image(intersection(f23(v,u),w),x))* -> disjoint(v,u). % 299.97/300.34 25963[2:Res:955.2,25946.0] || subset(u,image(intersection(f17(u,v),w),x))* -> subset(u,v). % 299.97/300.34 25965[2:Res:960.2,25946.0] || member(u,infinity) subset(infinity,image(intersection(successor(u),v),w))* -> . % 299.97/300.34 25971[2:Res:46.1,25946.0] || member(u,converse(image(intersection(ordered_pair(second(u),first(u)),v),w)))* -> . % 299.97/300.34 25993[2:Res:954.2,25950.0] || subset(u,image(restrict(f23(u,v),w),x))* -> disjoint(u,v). % 299.97/300.34 25994[2:Res:961.2,25950.0] || subset(u,image(restrict(f23(v,u),w),x))* -> disjoint(v,u). % 299.97/300.34 25995[2:Res:955.2,25950.0] || subset(u,image(restrict(f17(u,v),w),x))* -> subset(u,v). % 299.97/300.34 25997[2:Res:960.2,25950.0] || member(u,infinity) subset(infinity,image(restrict(successor(u),v),w))* -> . % 299.97/300.34 26003[2:Res:46.1,25950.0] || member(u,converse(image(restrict(ordered_pair(second(u),first(u)),v),w)))* -> . % 299.97/300.34 26191[2:Res:954.2,26103.0] || subset(u,image(intersection(v,f23(u,w)),x))* -> disjoint(u,w). % 299.97/300.34 26192[2:Res:961.2,26103.0] || subset(u,image(intersection(v,f23(w,u)),x))* -> disjoint(w,u). % 299.97/300.34 26193[2:Res:955.2,26103.0] || subset(u,image(intersection(v,f17(u,w)),x))* -> subset(u,w). % 299.97/300.34 26195[2:Res:960.2,26103.0] || member(u,infinity) subset(infinity,image(intersection(v,successor(u)),w))* -> . % 299.97/300.34 26201[2:Res:46.1,26103.0] || member(u,converse(image(intersection(v,ordered_pair(second(u),first(u))),w)))* -> . % 299.97/300.34 26394[7:Res:26333.1,98.0] || subset(universal_set,u)* member(sigma(infinity),v)* disjoint(v,u)* -> . % 299.97/300.34 26395[7:Res:26333.1,68.0] || subset(universal_set,u)* member(u,v)* -> member(sigma(infinity),sigma(v))*. % 299.97/300.34 26410[7:Res:26333.1,6176.0] || subset(universal_set,converse(u))* -> ordered_pair_predicate(ordered_pair(second(sigma(infinity)),first(sigma(infinity))))*. % 299.97/300.34 26964[7:Res:26830.1,70.0] || disjoint(universal_set,complement(u))* subset(u,v)* -> member(sigma(infinity),v)*. % 299.97/300.34 27002[7:Res:26830.1,274.0] || disjoint(universal_set,complement(restrict(u,v)))* -> member(sigma(infinity),cross_product(v,universal_set))*. % 299.97/300.34 27007[7:Res:26830.1,1354.0] || disjoint(universal_set,complement(image(u,cross_product(v,w))))* -> member(sigma(infinity),w). % 299.97/300.34 27109[7:Res:26831.1,70.0] || disjoint(complement(u),universal_set)* subset(u,v)* -> member(sigma(infinity),v)*. % 299.97/300.34 27147[7:Res:26831.1,274.0] || disjoint(complement(restrict(u,v)),universal_set)* -> member(sigma(infinity),cross_product(v,universal_set))*. % 299.97/300.34 27152[7:Res:26831.1,1354.0] || disjoint(complement(image(u,cross_product(v,w))),universal_set)* -> member(sigma(infinity),w). % 299.97/300.34 29362[2:Rew:29204.0,29194.1] little_set(first(f27(intersection(universal_set,universal_set),u))) || member(universal_set,range_of(u))* -> . % 299.97/300.34 29852[0:Obv:29750.0] || member(u,first(v))* equal(w,v)* -> member(u,first(w))*. % 299.97/300.34 30829[0:Obv:30727.0] || member(u,second(v))* equal(w,v)* -> member(u,second(w))*. % 299.97/300.34 33383[7:Res:33376.1,70.0] || member(universal_set,powerset(u))* subset(u,v)* -> member(sigma(infinity),v)*. % 299.97/300.34 33421[7:Res:33376.1,274.0] || member(universal_set,powerset(restrict(u,v)))* -> member(sigma(infinity),cross_product(v,universal_set))*. % 299.97/300.34 33426[7:Res:33376.1,1354.0] || member(universal_set,powerset(image(u,cross_product(v,w))))* -> member(sigma(infinity),w). % 299.97/300.34 34769[0:Obv:34760.1] || member(f17(u,intersection(v,u)),v)* -> subset(u,intersection(v,u)). % 299.97/300.34 34770[2:Obv:34767.1] || member(f17(u,intersection(v,universal_set)),v)* -> subset(u,intersection(v,universal_set)). % 299.97/300.34 34867[6:SpL:372.0,34849.0] || equal(f1(universal_set,ordered_pair(singleton_set(u),non_ordered_pair(u,v))),ordered_pair(u,v))** -> . % 299.97/300.34 36548[0:Res:4622.2,1238.0] || member(u,flip_range_of(v))* subset(v,w)* disjoint(w,universal_set) -> . % 299.97/300.34 36976[0:Res:4770.2,1238.0] || member(u,rotate_right(v))* subset(v,w)* disjoint(w,universal_set) -> . % 299.97/300.34 38977[2:MRR:38952.0,37.1] || member(u,domain_of(v)) -> member(ordered_pair(second(f8(u,v)),u),universal_set)*. % 299.97/300.34 38978[2:MRR:38957.0,106.1] || member(u,range_of(v)) -> member(ordered_pair(u,first(f27(u,v))),universal_set)*. % 299.97/300.34 39227[0:Obv:39222.0] || subset(u,v)* member(w,flip_range_of(u))* disjoint(v,u) -> . % 299.97/300.34 39747[0:Obv:39742.0] || subset(u,v)* member(w,rotate_right(u))* disjoint(v,u) -> . % 299.97/300.34 39774[3:Res:39698.1,98.0] || disjoint(universal_set,u) member(infinity,v) disjoint(v,complement(u))* -> . % 299.97/300.34 39775[3:Res:39698.1,68.0] || disjoint(universal_set,u) member(complement(u),v)* -> member(infinity,sigma(v)). % 299.97/300.34 40649[2:Res:25246.0,34.1] || member(f1(universal_set,complement(complement(u))),u)* -> equal(complement(complement(u)),universal_set). % 299.97/300.34 43591[14:Res:42571.1,70.0] || subset(universal_set,u)* subset(u,v)* -> member(ordered_pair(universal_set,w),v)*. % 299.97/300.34 43599[14:Res:42571.1,4549.0] || subset(universal_set,flip_range_of(u))* equal(v,ordered_pair(universal_set,w))* -> ordered_pair_predicate(v)*. % 299.97/300.34 43602[14:Res:42571.1,4578.0] || subset(universal_set,rotate_right(u))* equal(v,ordered_pair(universal_set,w))* -> ordered_pair_predicate(v)*. % 299.97/300.34 43634[14:Res:42571.1,274.0] || subset(universal_set,restrict(u,v))* -> member(ordered_pair(universal_set,w),cross_product(v,universal_set))*. % 299.97/300.34 43639[14:Res:42571.1,1354.0] || subset(universal_set,image(u,cross_product(v,w)))* -> member(ordered_pair(universal_set,x),w)*. % 299.97/300.34 59061[16:Rew:54986.0,55163.2] || subset(sigma(complement(u)),v)* -> member(a,sigma(u)) member(a,v). % 299.97/300.34 59062[16:Rew:375.0,55189.1] || closed(cross_product(set_a,set_b),u) member(singleton_set(singleton_set(a)),range_of(u))* -> . % 299.97/300.34 59063[16:Rew:375.0,55213.0] || equal(singleton_set(singleton_set(a)),singleton_set(u)) disjoint(universal_set,ordered_pair(u,v))* -> . % 299.97/300.34 55288[16:Rew:54986.0,49217.1] || member(infinity,u) member(a,v) disjoint(v,sigma(u))* -> . % 299.97/300.34 55289[16:Rew:54986.0,49212.1] || subset(universal_set,u) member(a,v) disjoint(v,sigma(u))* -> . % 299.97/300.34 55290[16:Rew:54986.0,49208.1] || disjoint(u,infinity) member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 59064[16:Rew:54986.0,55291.0] || member(a,u) subset(complement(complement(u)),v)* -> member(a,v). % 299.97/300.34 59065[16:Rew:54986.0,55292.0] || subset(u,a) member(u,intersection(v,w))* -> member(a,v). % 299.97/300.34 59066[16:Rew:54986.0,55293.0] || subset(u,a) member(u,restrict(v,w))* -> member(a,v). % 299.97/300.34 59067[16:Rew:54986.0,55294.2] || subset(complement(intersection(u,v)),w)* -> member(a,v) member(a,w). % 299.97/300.34 59068[16:Rew:54986.0,55295.1] || subset(complement(singleton_set(u)),v)* -> member(a,successor(u)) member(a,v). % 299.97/300.34 59069[16:Rew:54986.0,55296.0] || member(a,singleton_set(u)) subset(successor(u),v)* -> member(a,v). % 299.97/300.34 55297[16:Rew:54986.0,49192.2] || disjoint(successor(u),universal_set) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 55298[16:Rew:54986.0,49190.2] || disjoint(successor(u),infinity) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 55299[16:Rew:54986.0,49188.2] || disjoint(universal_set,complement(u)) subset(sigma(u),v)* -> member(a,v). % 299.97/300.34 55300[16:Rew:54986.0,49186.2] || disjoint(complement(u),universal_set) subset(sigma(u),v)* -> member(a,v). % 299.97/300.34 55301[16:Rew:54986.0,49173.2] || disjoint(universal_set,successor(u)) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 55302[16:Rew:54986.0,49170.1] || disjoint(universal_set,u) member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 59070[16:Rew:54986.0,55303.0] || disjoint(u,singleton_set(a)) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 55304[16:Rew:54986.0,49163.1] || subset(infinity,u) member(a,v) disjoint(v,sigma(u))* -> . % 299.97/300.34 59071[16:Rew:54986.0,55305.0] || disjoint(u,successor(a)) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 55306[16:Rew:54986.0,49160.2] || member(infinity,u) subset(sigma(sigma(u)),v)* -> member(a,v). % 299.97/300.34 55307[16:Rew:54986.0,49158.2] || disjoint(u,sigma(infinity)) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 59072[16:Rew:54986.0,55308.0] || equal(a,u) member(a,v) disjoint(v,successor(u))* -> . % 299.97/300.34 59073[16:Rew:54986.0,55309.1] || subset(complement(complement(complement(u))),v)* -> member(a,u) member(a,v). % 299.97/300.34 59074[16:Rew:54986.0,55310.1] || subset(sigma(complement(u)),v)* -> member(powerset(a),u) member(a,v). % 299.97/300.34 59075[16:Rew:54986.0,55311.1] || subset(sigma(complement(u)),v)* -> member(singleton_set(a),u) member(a,v). % 299.97/300.34 55312[16:Rew:54986.0,49119.2] || subset(sigma(complement(u)),v)* -> member(sigma(infinity),u) member(a,v). % 299.97/300.34 59076[16:Rew:54986.0,55313.0] || subset(sigma(complement(range_of(cross_product(singleton_set(a),u)))),v)* -> member(a,v). % 299.97/300.34 55346[16:Rew:54986.0,14107.1] || disjoint(u,set_b) member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 55349[16:Rew:54986.0,1196.1] || member(set_b,u) member(a,v) disjoint(v,sigma(u))* -> . % 299.97/300.34 55383[16:Rew:54986.0,49268.2] || member(infinity,u) member(sigma(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55384[16:Rew:54986.0,49266.2] || subset(universal_set,u) member(sigma(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55385[16:Rew:54986.0,49263.2] || disjoint(u,infinity) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 59077[16:Rew:54986.0,55386.1] || member(successor(u),v)* -> member(a,complement(u)) member(a,sigma(v)). % 299.97/300.34 55387[16:Rew:54986.0,49247.2] || disjoint(universal_set,u) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 59078[16:Rew:54986.0,55388.0] || equal(a,u) member(singleton_set(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55389[16:Rew:54986.0,49244.2] || subset(infinity,u) member(sigma(u),v)* -> member(a,sigma(v)). % 299.97/300.34 59079[16:Rew:54986.0,55390.0] || equal(a,u) member(successor(u),v)* -> member(a,sigma(v)). % 299.97/300.34 59080[16:Rew:54986.0,55391.0] || member(sigma(complement(apply(u,singleton_set(a)))),v)* -> member(a,sigma(v)). % 299.97/300.34 59081[16:Rew:54986.0,55392.0] || member(sigma(complement(image(singleton_set(a),u))),v)* -> member(a,sigma(v)). % 299.97/300.34 55402[16:Rew:54986.0,14108.2] || disjoint(u,set_b) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55403[16:Rew:54986.0,1175.2] || member(set_b,u) member(sigma(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55425[16:Rew:54986.0,49304.1] || disjoint(union(u,v),infinity) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 59082[16:Rew:54986.0,55426.1] || -> member(a,intersection(complement(u),complement(v)))* subset(powerset(a),union(u,v)). % 299.97/300.34 55427[16:Rew:54986.0,49299.1] || disjoint(union(u,v),universal_set) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 55428[16:Rew:54986.0,49290.1] || disjoint(universal_set,union(u,v)) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 55431[16:Rew:54986.0,1475.1] || disjoint(union(u,v),set_b) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 55441[16:Rew:54986.0,49665.1] || disjoint(intersection(complement(u),complement(v)),infinity)* -> member(a,union(u,v)). % 299.97/300.34 55442[16:Rew:54986.0,49661.1] || disjoint(universal_set,intersection(complement(u),complement(v)))* -> member(a,union(u,v)). % 299.97/300.34 55445[16:Rew:54986.0,14100.1] || disjoint(intersection(complement(u),complement(v)),set_b)* -> member(a,union(u,v)). % 299.97/300.34 55478[16:Rew:54986.0,48695.1] || -> equal(f24(non_ordered_pair(u,v)),u)** equal(non_ordered_pair(u,v),a) little_set(v). % 299.97/300.34 55479[16:Rew:54986.0,48694.1] || -> equal(f24(non_ordered_pair(u,v)),u)** equal(non_ordered_pair(u,v),a) ordered_pair_predicate(v). % 299.97/300.34 55480[16:Rew:54986.0,48693.1] || -> equal(f24(non_ordered_pair(u,v)),v)** equal(non_ordered_pair(u,v),a) little_set(u). % 299.97/300.34 55481[16:Rew:54986.0,48692.1] || -> equal(f24(non_ordered_pair(u,v)),v)** equal(non_ordered_pair(u,v),a) ordered_pair_predicate(u). % 299.97/300.34 55482[16:Rew:54986.0,48678.1] || -> equal(f26(non_ordered_pair(u,v)),v)** equal(non_ordered_pair(u,v),a) ordered_pair_predicate(u). % 299.97/300.34 55483[16:Rew:54986.0,48677.1] || -> equal(f26(non_ordered_pair(u,v)),v)** equal(non_ordered_pair(u,v),a) little_set(u). % 299.97/300.34 55484[16:Rew:54986.0,48676.1] || -> equal(f26(non_ordered_pair(u,v)),u)** equal(non_ordered_pair(u,v),a) ordered_pair_predicate(v). % 299.97/300.34 55485[16:Rew:54986.0,48675.1] || -> equal(f26(non_ordered_pair(u,v)),u)** equal(non_ordered_pair(u,v),a) little_set(v). % 299.97/300.34 55504[16:Rew:54986.0,49342.1] || member(singleton_set(u),v)* -> equal(singleton_set(u),a) member(u,sigma(v)). % 299.97/300.34 55505[16:Rew:54986.0,49341.2] || member(u,v) disjoint(v,singleton_set(u))* -> equal(singleton_set(u),a). % 299.97/300.34 59083[16:Rew:54986.0,55560.1] || member(a,u) subset(v,a) member(v,complement(u))* -> . % 299.97/300.34 59084[16:Rew:54986.0,55561.2] || subset(complement(intersection(u,v)),w)* -> member(a,u) member(a,w). % 299.97/300.34 59085[16:Rew:54986.0,55562.2] || subset(complement(restrict(u,v)),w)* -> member(a,u) member(a,w). % 299.97/300.34 59086[16:Rew:54986.0,55563.2] || member(a,u) disjoint(u,successor(v))* -> member(a,complement(v))*. % 299.97/300.34 55564[16:Rew:54986.0,49673.0] || member(a,u) disjoint(u,sigma(complement(apply_to_two_arguments(v,universal_set,w))))* -> . % 299.97/300.34 59087[16:Rew:54986.0,55565.1] || member(a,u) disjoint(u,sigma(complement(image(singleton_set(a),v))))* -> . % 299.97/300.34 59088[16:Rew:54986.0,55566.1] || member(a,u) disjoint(u,sigma(complement(apply(v,singleton_set(a)))))* -> . % 299.97/300.34 59089[16:Rew:54986.0,55688.1] little_set(successor(estin)) || -> member(successor(a),u) member(a,sigma(complement(u)))*. % 299.97/300.34 55809[16:Rew:54986.0,50807.1] || equal(non_ordered_pair(u,v),sigma(infinity)) -> member(a,sigma(ordered_pair(u,v)))*. % 299.97/300.34 59090[16:Rew:54986.0,55810.0] || equal(non_ordered_pair(u,v),singleton_set(a)) -> member(a,sigma(ordered_pair(u,v)))*. % 299.97/300.34 59091[16:Rew:54986.0,56143.0] || member(f1(u,a),v)* disjoint(v,u) -> equal(u,a). % 299.97/300.34 59092[16:Rew:54986.0,56144.2] || member(u,v) -> equal(u,a) member(f1(u,a),sigma(v))*. % 299.97/300.34 56145[16:Rew:54986.0,49036.2] || subset(u,complement(v))* member(f24(u),v) -> equal(u,a). % 299.97/300.34 56146[16:Rew:54986.0,49035.1] || subset(u,intersection(v,w))* -> equal(u,a) member(f24(u),v). % 299.97/300.34 56147[16:Rew:54986.0,49034.1] || subset(u,intersection(v,w))* -> equal(u,a) member(f24(u),w). % 299.97/300.34 56148[16:Rew:54986.0,49033.1] || subset(u,restrict(v,w))* -> equal(u,a) member(f24(u),v). % 299.97/300.34 56149[16:Rew:54986.0,49007.2] || subset(f24(u),v)* disjoint(powerset(v),u) -> equal(u,a). % 299.97/300.34 56150[16:Rew:54986.0,49006.2] || equal(f24(u),v) disjoint(singleton_set(v),u)* -> equal(u,a). % 299.97/300.34 56151[16:Rew:54986.0,48991.2] || subset(u,infinity) equal(successor(f24(u)),universal_set)** -> equal(u,a). % 299.97/300.34 59093[16:Rew:54986.0,56152.1] little_set(u) || member(ordered_pair(powerset(a),u),f25)* -> equal(u,a). % 299.97/300.34 56153[16:Rew:54986.0,48989.0] || equal(u,a) subset(ordered_pair(universal_set,v),w)* -> member(u,w)*. % 299.97/300.34 59094[16:Rew:54986.0,56154.1] || equal(u,a) member(singleton_set(a),v)* -> member(u,sigma(v))*. % 299.97/300.34 56155[16:Rew:54986.0,48981.1] || subset(u,complement(complement(v)))* -> equal(u,a) member(f24(u),v). % 299.97/300.34 56156[16:Rew:54986.0,48946.1] || subset(u,sigma(powerset(v)))* -> equal(u,a) member(f24(u),v). % 299.97/300.34 56157[16:Rew:54986.0,48943.2] little_set(u) || subset(u,image(f26(u),v))* -> equal(u,a). % 299.97/300.34 56158[16:Rew:54986.0,48939.2] little_set(u) || subset(u,apply(v,f26(u)))* -> equal(u,a). % 299.97/300.34 59095[16:Rew:54986.0,56210.0] || member(f1(a,u),v)* disjoint(v,u) -> equal(a,u). % 299.97/300.34 59096[16:Rew:54986.0,56211.2] || member(u,v) -> equal(a,u) member(f1(a,u),sigma(v))*. % 299.97/300.34 59097[16:Rew:54986.0,56212.2] || equal(a,u) subset(non_ordered_pair(v,u),w)* -> member(a,w). % 299.97/300.34 59098[16:Rew:54986.0,56213.2] || equal(a,u) subset(non_ordered_pair(u,v),w)* -> member(a,w). % 299.97/300.34 59099[16:Rew:54986.0,56281.1] || member(u,intersection(universal_set,complement(singleton_set(a))))* member(u,successor(a)) -> . % 299.97/300.34 56435[16:Rew:54986.0,49377.1] || subset(universal_set,u)* member(singleton_set(a),v)* disjoint(v,u)* -> . % 299.97/300.34 56436[16:Rew:54986.0,49374.2] || disjoint(universal_set,complement(u))* subset(u,v)* -> member(singleton_set(a),v)*. % 299.97/300.34 56437[16:Rew:54986.0,49370.2] || disjoint(complement(u),universal_set)* subset(u,v)* -> member(singleton_set(a),v)*. % 299.97/300.34 56438[16:Rew:54986.0,49366.2] || member(universal_set,powerset(u))* subset(u,v)* -> member(singleton_set(a),v)*. % 299.97/300.34 56448[16:Rew:54986.0,49348.1] || equal(u,universal_set) -> equal(apply_to_two_arguments(v,u,u),apply(v,singleton_set(a)))**. % 299.97/300.34 56474[16:Rew:54986.0,49468.1] || subset(universal_set,converse(u))* -> ordered_pair_predicate(ordered_pair(second(singleton_set(a)),first(singleton_set(a))))*. % 299.97/300.34 56515[16:Rew:54986.0,49558.1] || disjoint(universal_set,complement(restrict(u,v)))* -> member(singleton_set(a),cross_product(v,universal_set))*. % 299.97/300.34 56516[16:Rew:54986.0,49557.1] || disjoint(complement(restrict(u,v)),universal_set)* -> member(singleton_set(a),cross_product(v,universal_set))*. % 299.97/300.34 56517[16:Rew:54986.0,49556.1] || member(universal_set,powerset(restrict(u,v)))* -> member(singleton_set(a),cross_product(v,universal_set))*. % 299.97/300.34 56519[16:Rew:54986.0,49562.1] || disjoint(universal_set,complement(image(u,cross_product(v,w))))* -> member(singleton_set(a),w). % 299.97/300.34 56520[16:Rew:54986.0,49561.1] || disjoint(complement(image(u,cross_product(v,w))),universal_set)* -> member(singleton_set(a),w). % 299.97/300.34 56521[16:Rew:54986.0,49560.1] || member(universal_set,powerset(image(u,cross_product(v,w))))* -> member(singleton_set(a),w). % 299.97/300.34 59100[16:Rew:54986.0,56523.1] || member(singleton_set(a),second(u)) -> member(a,sigma(f7(singleton_set(a),u)))*. % 299.97/300.34 59101[16:Rew:54986.0,56524.1] || member(singleton_set(a),first(u)) -> member(a,sigma(f4(singleton_set(a),u)))*. % 299.97/300.34 59102[16:Rew:54986.0,56525.1] || member(singleton_set(a),sigma(u)) -> member(a,sigma(f16(singleton_set(a),u)))*. % 299.97/300.34 56528[16:Rew:54986.0,49453.1] || disjoint(universal_set,union(u,v)) member(singleton_set(a),union(u,v))* -> . % 299.97/300.34 59103[16:Rew:54986.0,56531.1] || disjoint(intersection(complement(u),universal_set),singleton_set(a))* -> member(a,union(u,a)). % 299.97/300.34 59104[16:Rew:54986.0,56534.1] || disjoint(intersection(universal_set,complement(u)),singleton_set(a))* -> member(a,union(a,u)). % 299.97/300.34 59105[16:Rew:54986.0,56540.0] || subset(union(u,a),a) -> member(singleton_set(a),intersection(complement(u),universal_set))*. % 299.97/300.34 59106[16:Rew:54986.0,56541.1] || -> member(singleton_set(a),intersection(complement(u),universal_set))* member(a,sigma(union(u,a))). % 299.97/300.34 59107[16:Rew:54986.0,56547.0] || subset(union(a,u),a) -> member(singleton_set(a),intersection(universal_set,complement(u)))*. % 299.97/300.34 59108[16:Rew:54986.0,56548.1] || -> member(singleton_set(a),intersection(universal_set,complement(u)))* member(a,sigma(union(a,u))). % 299.97/300.34 56552[16:Rew:54986.0,49567.2] || subset(universal_set,u)* member(u,v)* -> member(singleton_set(a),sigma(v))*. % 299.97/300.34 59109[16:Rew:54986.0,56553.2] || subset(universal_set,powerset(f25))* -> single_valued_set(singleton_set(a)) equal(f19(singleton_set(a)),a). % 299.97/300.34 56774[16:Rew:54986.0,50370.1] || subset(universal_set,u)* member(powerset(a),v)* disjoint(v,u)* -> . % 299.97/300.34 56775[16:Rew:54986.0,50367.2] || disjoint(universal_set,complement(u))* subset(u,v)* -> member(powerset(a),v)*. % 299.97/300.34 56776[16:Rew:54986.0,50363.2] || disjoint(complement(u),universal_set)* subset(u,v)* -> member(powerset(a),v)*. % 299.97/300.34 56777[16:Rew:54986.0,50359.2] || member(universal_set,powerset(u))* subset(u,v)* -> member(powerset(a),v)*. % 299.97/300.34 56798[16:Rew:54986.0,50384.1] || subset(universal_set,converse(u))* -> ordered_pair_predicate(ordered_pair(second(powerset(a)),first(powerset(a))))*. % 299.97/300.34 59110[16:Rew:54986.0,56845.2] || subset(universal_set,powerset(f25))* -> single_valued_set(powerset(a)) equal(f19(powerset(a)),a). % 299.97/300.34 56849[16:Rew:54986.0,50433.1] || disjoint(universal_set,complement(restrict(u,v)))* -> member(powerset(a),cross_product(v,universal_set))*. % 299.97/300.34 56850[16:Rew:54986.0,50432.1] || disjoint(complement(restrict(u,v)),universal_set)* -> member(powerset(a),cross_product(v,universal_set))*. % 299.97/300.34 56851[16:Rew:54986.0,50431.1] || member(universal_set,powerset(restrict(u,v)))* -> member(powerset(a),cross_product(v,universal_set))*. % 299.97/300.34 56853[16:Rew:54986.0,50437.1] || disjoint(universal_set,complement(image(u,cross_product(v,w))))* -> member(powerset(a),w). % 299.97/300.34 56854[16:Rew:54986.0,50436.1] || disjoint(complement(image(u,cross_product(v,w))),universal_set)* -> member(powerset(a),w). % 299.97/300.34 56855[16:Rew:54986.0,50435.1] || member(universal_set,powerset(image(u,cross_product(v,w))))* -> member(powerset(a),w). % 299.97/300.34 59111[16:Rew:54986.0,56862.1] || member(u,converse(powerset(a))) -> equal(ordered_pair(second(u),first(u)),a)**. % 299.97/300.34 59112[16:Rew:54986.0,56870.0] || subset(union(u,a),a) -> member(powerset(a),intersection(complement(u),universal_set))*. % 299.97/300.34 59113[16:Rew:54986.0,56871.1] || -> member(powerset(a),intersection(complement(u),universal_set))* member(a,sigma(union(u,a))). % 299.97/300.34 59114[16:Rew:54986.0,56879.0] || subset(union(a,u),a) -> member(powerset(a),intersection(universal_set,complement(u)))*. % 299.97/300.34 59115[16:Rew:54986.0,56880.1] || -> member(powerset(a),intersection(universal_set,complement(u)))* member(a,sigma(union(a,u))). % 299.97/300.34 56884[16:Rew:54986.0,50442.2] || subset(universal_set,u)* member(u,v)* -> member(powerset(a),sigma(v))*. % 299.97/300.34 59117[16:Rew:54986.0,59116.0] || member(a,cross_product(set_a,set_b)) member(singleton_set(singleton_set(a)),powerset(a))* -> . % 299.97/300.34 56889[16:Rew:54986.0,50468.1] || disjoint(universal_set,union(u,v)) member(powerset(a),union(u,v))* -> . % 299.97/300.34 59118[16:Rew:54986.0,57140.1] || disjoint(intersection(complement(u),universal_set),successor(a))* -> member(a,union(u,a)). % 299.97/300.34 59119[16:Rew:54986.0,57143.1] || disjoint(intersection(universal_set,complement(u)),successor(a))* -> member(a,union(a,u)). % 299.97/300.34 59120[16:Rew:54986.0,57144.1] || member(successor(a),second(u)) -> member(a,sigma(f7(successor(a),u)))*. % 299.97/300.34 59121[16:Rew:54986.0,57145.1] || member(successor(a),first(u)) -> member(a,sigma(f4(successor(a),u)))*. % 299.97/300.34 59122[16:Rew:54986.0,57146.1] || member(successor(a),sigma(u)) -> member(a,sigma(f16(successor(a),u)))*. % 299.97/300.34 57156[16:Rew:54986.0,50625.1] || subset(f25,domain_of(cross_product(u,v)))* -> member(ordered_pair(powerset(a),a),u). % 299.97/300.34 57157[16:Rew:54986.0,50619.1] || subset(universal_set,domain_of(cross_product(u,v)))* -> member(ordered_pair(powerset(a),a),u). % 299.97/300.34 57196[16:Rew:54986.0,50649.1] || subset(f25,range_of(cross_product(u,v)))* -> member(ordered_pair(powerset(a),a),v). % 299.97/300.34 57197[16:Rew:54986.0,50645.1] || subset(universal_set,range_of(cross_product(u,v)))* -> member(ordered_pair(powerset(a),a),v). % 299.97/300.34 57207[16:Rew:54986.0,50652.1] || subset(f25,cross_product(u,v))* -> member(first(ordered_pair(powerset(a),a)),u)*. % 299.97/300.34 57208[16:Rew:54986.0,50651.1] || subset(universal_set,cross_product(u,v))* -> member(first(ordered_pair(powerset(a),a)),u)*. % 299.97/300.34 57209[16:Rew:54986.0,50654.1] || subset(f25,cross_product(u,v))* -> member(second(ordered_pair(powerset(a),a)),v)*. % 299.97/300.34 57210[16:Rew:54986.0,50653.1] || subset(universal_set,cross_product(u,v))* -> member(second(ordered_pair(powerset(a),a)),v)*. % 299.97/300.34 59123[16:Rew:54986.0,57302.2] || subset(u,a) member(u,intersection(v,w))* -> member(a,w). % 299.97/300.34 59124[16:Rew:54986.0,57327.2] || subset(union(u,v),w)* -> member(a,complement(u)) member(a,w). % 299.97/300.34 57409[16:Rew:54986.0,49946.1] || disjoint(intersection(complement(u),universal_set),set_b)* disjoint(union(u,a),set_b) -> . % 299.97/300.34 57412[16:Rew:54986.0,49949.1] || disjoint(intersection(complement(u),universal_set),set_a)* disjoint(union(u,a),set_a) -> . % 299.97/300.34 57417[16:Rew:54986.0,49956.1] || disjoint(intersection(complement(u),universal_set),infinity)* disjoint(union(u,a),infinity) -> . % 299.97/300.34 57418[16:Rew:54986.0,49954.1] || disjoint(universal_set,intersection(complement(u),universal_set))* disjoint(union(u,a),infinity) -> . % 299.97/300.34 57427[16:Rew:54986.0,50004.1] || disjoint(intersection(complement(u),universal_set),infinity)* disjoint(union(u,a),universal_set) -> . % 299.97/300.34 57428[16:Rew:54986.0,50003.1] || disjoint(intersection(complement(u),universal_set),set_a)* disjoint(union(u,a),universal_set) -> . % 299.97/300.34 57429[16:Rew:54986.0,50002.1] || disjoint(intersection(complement(u),universal_set),set_b)* disjoint(union(u,a),universal_set) -> . % 299.97/300.34 59125[16:Rew:54986.0,57430.1] || disjoint(union(u,a),universal_set) subset(intersection(complement(u),universal_set),a)* -> . % 299.97/300.34 57431[16:Rew:54986.0,50000.1] || disjoint(intersection(complement(u),universal_set),f25)* disjoint(union(u,a),universal_set) -> . % 299.97/300.34 57432[16:Rew:54986.0,49996.1] || disjoint(universal_set,intersection(complement(u),universal_set))* disjoint(union(u,a),universal_set) -> . % 299.97/300.34 59126[16:Rew:54986.0,57439.1] || disjoint(universal_set,union(u,a)) subset(intersection(complement(u),universal_set),a)* -> . % 299.97/300.34 57440[16:Rew:54986.0,50030.1] || disjoint(intersection(complement(u),universal_set),infinity)* disjoint(universal_set,union(u,a)) -> . % 299.97/300.34 57441[16:Rew:54986.0,50029.1] || disjoint(universal_set,intersection(complement(u),universal_set))* disjoint(universal_set,union(u,a)) -> . % 299.97/300.34 59127[16:Rew:54986.0,57456.1] || subset(universal_set,union(u,a)) member(a,intersection(complement(u),universal_set))* -> . % 299.97/300.34 57457[16:Rew:54986.0,49966.0] || -> disjoint(intersection(union(u,a),complement(v)),union(intersection(complement(u),universal_set),v))*. % 299.97/300.34 57458[16:Rew:54986.0,49967.0] || -> disjoint(union(intersection(complement(u),universal_set),v),intersection(union(u,a),complement(v)))*. % 299.97/300.34 59129[16:Rew:54986.0,57465.1] || subset(universal_set,complement(union(u,a)))* -> member(a,intersection(complement(u),universal_set)). % 299.97/300.34 59130[16:Rew:54986.0,57466.1] || subset(infinity,complement(union(u,a)))* -> member(a,intersection(complement(u),universal_set)). % 299.97/300.34 59131[16:Rew:54986.0,57473.1] || disjoint(successor(union(u,a)),universal_set) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 59132[16:Rew:54986.0,57474.1] || disjoint(successor(union(u,a)),infinity) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 59133[16:Rew:54986.0,57475.1] || disjoint(universal_set,successor(union(u,a))) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 59134[16:Rew:54986.0,57477.1] || subset(infinity,union(u,a)) member(a,intersection(complement(u),universal_set))* -> . % 299.97/300.34 59135[16:Rew:54986.0,57478.1] || disjoint(union(u,a),singleton_set(a)) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 59136[16:Rew:54986.0,57479.1] || disjoint(union(u,a),sigma(infinity)) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 59137[16:Rew:54986.0,57480.1] || disjoint(union(u,a),successor(a)) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 59138[16:Rew:54986.0,57481.0] || member(a,intersection(complement(u),universal_set))* -> disjoint(union(u,a),powerset(a)). % 299.97/300.34 59139[16:Rew:54986.0,57482.0] || member(a,intersection(complement(u),universal_set))* -> disjoint(powerset(a),union(u,a)). % 299.97/300.34 57527[16:Rew:54986.0,49809.1] || disjoint(intersection(universal_set,complement(u)),set_b)* disjoint(union(a,u),set_b) -> . % 299.97/300.34 57530[16:Rew:54986.0,49812.1] || disjoint(intersection(universal_set,complement(u)),set_a)* disjoint(union(a,u),set_a) -> . % 299.97/300.34 57535[16:Rew:54986.0,49819.1] || disjoint(intersection(universal_set,complement(u)),infinity)* disjoint(union(a,u),infinity) -> . % 299.97/300.34 57536[16:Rew:54986.0,49817.1] || disjoint(universal_set,intersection(universal_set,complement(u)))* disjoint(union(a,u),infinity) -> . % 299.97/300.34 57545[16:Rew:54986.0,49867.1] || disjoint(intersection(universal_set,complement(u)),infinity)* disjoint(union(a,u),universal_set) -> . % 299.97/300.34 57546[16:Rew:54986.0,49866.1] || disjoint(intersection(universal_set,complement(u)),set_a)* disjoint(union(a,u),universal_set) -> . % 299.97/300.34 57547[16:Rew:54986.0,49865.1] || disjoint(intersection(universal_set,complement(u)),set_b)* disjoint(union(a,u),universal_set) -> . % 299.97/300.34 59140[16:Rew:54986.0,57548.1] || disjoint(union(a,u),universal_set) subset(intersection(universal_set,complement(u)),a)* -> . % 299.97/300.34 57549[16:Rew:54986.0,49863.1] || disjoint(intersection(universal_set,complement(u)),f25)* disjoint(union(a,u),universal_set) -> . % 299.97/300.34 57550[16:Rew:54986.0,49859.1] || disjoint(universal_set,intersection(universal_set,complement(u)))* disjoint(union(a,u),universal_set) -> . % 299.97/300.34 59141[16:Rew:54986.0,57557.1] || disjoint(universal_set,union(a,u)) subset(intersection(universal_set,complement(u)),a)* -> . % 299.97/300.34 57558[16:Rew:54986.0,49893.1] || disjoint(intersection(universal_set,complement(u)),infinity)* disjoint(universal_set,union(a,u)) -> . % 299.97/300.34 57559[16:Rew:54986.0,49892.1] || disjoint(universal_set,intersection(universal_set,complement(u)))* disjoint(universal_set,union(a,u)) -> . % 299.97/300.34 59142[16:Rew:54986.0,57574.1] || subset(universal_set,union(a,u)) member(a,intersection(universal_set,complement(u)))* -> . % 299.97/300.34 57575[16:Rew:54986.0,49825.0] || -> disjoint(intersection(union(a,u),complement(v)),union(intersection(universal_set,complement(u)),v))*. % 299.97/300.34 57576[16:Rew:54986.0,49826.0] || -> disjoint(union(intersection(universal_set,complement(u)),v),intersection(union(a,u),complement(v)))*. % 299.97/300.34 59144[16:Rew:54986.0,57583.1] || subset(universal_set,complement(union(a,u)))* -> member(a,intersection(universal_set,complement(u))). % 299.97/300.34 59145[16:Rew:54986.0,57584.1] || subset(infinity,complement(union(a,u)))* -> member(a,intersection(universal_set,complement(u))). % 299.97/300.34 59146[16:Rew:54986.0,57591.1] || disjoint(successor(union(a,u)),universal_set) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 59147[16:Rew:54986.0,57592.1] || disjoint(successor(union(a,u)),infinity) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 59148[16:Rew:54986.0,57593.1] || disjoint(universal_set,successor(union(a,u))) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 59149[16:Rew:54986.0,57595.1] || subset(infinity,union(a,u)) member(a,intersection(universal_set,complement(u)))* -> . % 299.97/300.34 59150[16:Rew:54986.0,57596.1] || disjoint(union(a,u),singleton_set(a)) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 59151[16:Rew:54986.0,57597.1] || disjoint(union(a,u),sigma(infinity)) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 59152[16:Rew:54986.0,57598.1] || disjoint(union(a,u),successor(a)) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 59153[16:Rew:54986.0,57599.0] || member(a,intersection(universal_set,complement(u)))* -> disjoint(union(a,u),powerset(a)). % 299.97/300.34 59154[16:Rew:54986.0,57600.0] || member(a,intersection(universal_set,complement(u)))* -> disjoint(powerset(a),union(a,u)). % 299.97/300.34 59155[16:Rew:54986.0,57698.1] || -> equal(cross_product(u,v),a) member(first(f1(cross_product(u,v),a)),u)*. % 299.97/300.34 59156[16:Rew:54986.0,57699.1] || -> equal(cross_product(u,v),a) member(second(f1(cross_product(u,v),a)),v)*. % 299.97/300.34 59157[16:Rew:54986.0,57700.1] || -> equal(cross_product(u,v),a) member(first(f1(a,cross_product(u,v))),u)*. % 299.97/300.34 59158[16:Rew:54986.0,57701.1] || -> equal(cross_product(u,v),a) member(second(f1(a,cross_product(u,v))),v)*. % 299.97/300.34 57716[16:Rew:54986.0,49107.0] || -> equal(restrict(u,v),a) member(f24(restrict(u,v)),cross_product(v,universal_set))*. % 299.97/300.34 57743[16:Rew:54986.0,50059.1] || member(u,intersection(complement(v),universal_set))* member(u,union(v,a)) -> . % 299.97/300.34 57748[16:Rew:54986.0,50061.0] || -> disjoint(intersection(complement(u),union(v,a)),union(u,intersection(complement(v),universal_set)))*. % 299.97/300.34 57749[16:Rew:54986.0,50062.0] || -> disjoint(union(u,intersection(complement(v),universal_set)),intersection(complement(u),union(v,a)))*. % 299.97/300.34 57752[16:Rew:54986.0,50071.0] || member(u,complement(union(v,a))) -> member(u,intersection(complement(v),universal_set))*. % 299.97/300.34 57771[16:Rew:54986.0,49920.1] || member(u,intersection(universal_set,complement(v)))* member(u,union(a,v)) -> . % 299.97/300.34 57776[16:Rew:54986.0,49922.0] || -> disjoint(intersection(complement(u),union(a,v)),union(u,intersection(universal_set,complement(v))))*. % 299.97/300.34 57777[16:Rew:54986.0,49923.0] || -> disjoint(union(u,intersection(universal_set,complement(v))),intersection(complement(u),union(a,v)))*. % 299.97/300.34 57780[16:Rew:54986.0,49932.0] || member(u,complement(union(a,v))) -> member(u,intersection(universal_set,complement(v)))*. % 299.97/300.34 59159[16:Rew:54986.0,57804.2] || subset(union(u,v),w)* -> member(a,complement(v)) member(a,w). % 299.97/300.34 57816[16:Rew:54986.0,51535.2] little_set(powerset(u)) || -> member(powerset(u),v)* member(a,sigma(complement(v)))*. % 299.97/300.34 57835[16:Rew:54986.0,51088.2] || member(u,domain_of(v))* member(v,w)* subset(w,a)* -> . % 299.97/300.34 57836[16:Rew:54986.0,51087.2] || member(u,sigma(v))* member(v,w)* subset(w,a)* -> . % 299.97/300.34 57837[16:Rew:54986.0,51086.2] || member(u,range_of(v))* member(v,w)* subset(w,a)* -> . % 299.97/300.34 57838[16:Rew:54986.0,51083.2] || member(u,flip_range_of(v))* member(v,w)* subset(w,a)* -> . % 299.97/300.34 57839[16:Rew:54986.0,51082.2] || member(u,rotate_right(v))* member(v,w)* subset(w,a)* -> . % 299.97/300.34 57855[16:Rew:54986.0,49345.1] || equal(u,universal_set) -> equal(non_ordered_pair(a,non_ordered_pair(u,v)),ordered_pair(u,v))**. % 299.97/300.34 59160[16:Rew:54986.0,57875.1] || member(a,intersection(universal_set,complement(u)))* -> member(a,complement(union(a,u))). % 299.97/300.34 59161[16:Rew:54986.0,57876.0] || subset(powerset(union(a,u)),a)* -> member(a,intersection(universal_set,complement(u))). % 299.97/300.34 59162[16:Rew:54986.0,57877.1] || -> member(a,intersection(universal_set,complement(u))) member(a,complement(complement(union(a,u))))*. % 299.97/300.34 57879[16:Rew:54986.0,50835.1] || disjoint(successor(intersection(universal_set,complement(u))),universal_set)* -> member(a,union(a,u)). % 299.97/300.34 57880[16:Rew:54986.0,50834.1] || disjoint(successor(intersection(universal_set,complement(u))),infinity)* -> member(a,union(a,u)). % 299.97/300.34 57881[16:Rew:54986.0,50833.1] || disjoint(universal_set,successor(intersection(universal_set,complement(u))))* -> member(a,union(a,u)). % 299.97/300.34 57882[16:Rew:54986.0,50830.1] || disjoint(intersection(universal_set,complement(u)),sigma(infinity))* -> member(a,union(a,u)). % 299.97/300.34 59163[16:Rew:54986.0,57887.1] || member(a,intersection(complement(u),universal_set))* -> member(a,complement(union(u,a))). % 299.97/300.34 59164[16:Rew:54986.0,57888.0] || subset(powerset(union(u,a)),a)* -> member(a,intersection(complement(u),universal_set)). % 299.97/300.34 59165[16:Rew:54986.0,57889.1] || -> member(a,intersection(complement(u),universal_set)) member(a,complement(complement(union(u,a))))*. % 299.97/300.34 57891[16:Rew:54986.0,50827.1] || disjoint(successor(intersection(complement(u),universal_set)),universal_set)* -> member(a,union(u,a)). % 299.97/300.34 57892[16:Rew:54986.0,50826.1] || disjoint(successor(intersection(complement(u),universal_set)),infinity)* -> member(a,union(u,a)). % 299.97/300.34 57893[16:Rew:54986.0,50825.1] || disjoint(universal_set,successor(intersection(complement(u),universal_set)))* -> member(a,union(u,a)). % 299.97/300.34 57894[16:Rew:54986.0,50822.1] || disjoint(intersection(complement(u),universal_set),sigma(infinity))* -> member(a,union(u,a)). % 299.97/300.34 59166[16:Rew:54986.0,58000.0] || equal(u,f1(flip_range_of(v),a))* -> equal(flip_range_of(v),a) ordered_pair_predicate(u)*. % 299.97/300.34 59167[16:Rew:54986.0,58001.0] || equal(u,f1(a,flip_range_of(v)))* -> equal(flip_range_of(v),a) ordered_pair_predicate(u)*. % 299.97/300.34 59168[16:Rew:54986.0,58003.0] || equal(u,f1(rotate_right(v),a))* -> equal(rotate_right(v),a) ordered_pair_predicate(u)*. % 299.97/300.34 59169[16:Rew:54986.0,58004.0] || equal(u,f1(a,rotate_right(v)))* -> equal(rotate_right(v),a) ordered_pair_predicate(u)*. % 299.97/300.34 58020[16:Rew:54986.0,50939.1] || subset(sigma(complement(image(ordered_pair(universal_set,u),v))),w)* -> member(a,w). % 299.97/300.34 58043[16:Rew:54986.0,49273.0] || -> equal(domain_of(cross_product(u,v)),a) member(f24(domain_of(cross_product(u,v))),u)*. % 299.97/300.34 58047[16:Rew:54986.0,49277.0] || -> equal(range_of(cross_product(u,v)),a) member(f24(range_of(cross_product(u,v))),v)*. % 299.97/300.34 58048[16:Rew:54986.0,51558.1] || -> member(sigma(infinity),intersection(complement(u),universal_set))* member(a,sigma(union(u,a))). % 299.97/300.34 59170[16:Rew:54986.0,58049.1] || -> member(a,sigma(union(u,a))) member(a,sigma(intersection(complement(u),universal_set)))*. % 299.97/300.34 58050[16:Rew:54986.0,50952.1] || disjoint(intersection(complement(u),universal_set),infinity)* subset(union(u,a),a) -> . % 299.97/300.34 58051[16:Rew:54986.0,50951.0] || subset(union(u,a),a) -> member(sigma(infinity),intersection(complement(u),universal_set))*. % 299.97/300.34 58052[16:Rew:54986.0,50950.0] || subset(union(u,a),a) disjoint(universal_set,intersection(complement(u),universal_set))* -> . % 299.97/300.34 59171[16:Rew:54986.0,58053.1] || subset(union(u,a),a) -> member(a,sigma(intersection(complement(u),universal_set)))*. % 299.97/300.34 58054[16:Rew:54986.0,51559.1] || -> member(sigma(infinity),intersection(universal_set,complement(u)))* member(a,sigma(union(a,u))). % 299.97/300.34 59172[16:Rew:54986.0,58055.1] || -> member(a,sigma(union(a,u))) member(a,sigma(intersection(universal_set,complement(u))))*. % 299.97/300.34 58056[16:Rew:54986.0,50956.1] || disjoint(intersection(universal_set,complement(u)),infinity)* subset(union(a,u),a) -> . % 299.97/300.34 58057[16:Rew:54986.0,50955.0] || subset(union(a,u),a) -> member(sigma(infinity),intersection(universal_set,complement(u)))*. % 299.97/300.34 58058[16:Rew:54986.0,50954.0] || subset(union(a,u),a) disjoint(universal_set,intersection(universal_set,complement(u)))* -> . % 299.97/300.34 59173[16:Rew:54986.0,58059.1] || subset(union(a,u),a) -> member(a,sigma(intersection(universal_set,complement(u))))*. % 299.97/300.34 58061[16:Rew:54986.0,49917.0] || -> equal(union(a,intersection(universal_set,complement(u))),complement(intersection(universal_set,union(a,u))))**. % 299.97/300.34 58063[16:Rew:54986.0,50054.0] || -> equal(union(a,intersection(complement(u),universal_set)),complement(intersection(universal_set,union(u,a))))**. % 299.97/300.34 58064[16:Rew:54986.0,50055.0] || -> equal(union(intersection(complement(u),universal_set),a),complement(intersection(union(u,a),universal_set)))**. % 299.97/300.34 58065[16:Rew:54986.0,50056.0] || -> equal(union(intersection(universal_set,complement(u)),a),complement(intersection(union(a,u),universal_set)))**. % 299.97/300.34 58066[16:Rew:54986.0,50103.0] || -> equal(intersection(powerset(u),v),a) subset(f24(intersection(powerset(u),v)),u)*. % 299.97/300.34 58067[16:Rew:54986.0,50104.0] || -> equal(intersection(singleton_set(u),v),a) equal(f24(intersection(singleton_set(u),v)),u)**. % 299.97/300.34 58068[16:Rew:54986.0,50119.0] || -> equal(intersection(u,powerset(v)),a) subset(f24(intersection(u,powerset(v))),v)*. % 299.97/300.34 58069[16:Rew:54986.0,50120.0] || -> equal(intersection(u,singleton_set(v)),a) equal(f24(intersection(u,singleton_set(v))),v)**. % 299.97/300.34 58073[16:Rew:54986.0,50230.1] || member(u,f24(complement(v)))* -> equal(complement(v),a) member(u,v). % 299.97/300.34 58081[16:Rew:54986.0,50599.1] || equal(successor(f24(intersection(infinity,u))),universal_set)** -> equal(intersection(infinity,u),a). % 299.97/300.34 58082[16:Rew:54986.0,50600.1] || equal(successor(f24(intersection(u,infinity))),universal_set)** -> equal(intersection(u,infinity),a). % 299.97/300.34 58083[16:Rew:54986.0,50793.0] || equal(f17(u,ordered_pair(universal_set,v)),a)** -> subset(u,ordered_pair(universal_set,v)). % 299.97/300.34 58084[16:Rew:54986.0,50842.1] || member(powerset(u),second(v)) -> member(a,sigma(f7(powerset(u),v)))*. % 299.97/300.34 58085[16:Rew:54986.0,50843.1] || member(powerset(u),first(v)) -> member(a,sigma(f4(powerset(u),v)))*. % 299.97/300.34 58086[16:Rew:54986.0,50844.1] || member(powerset(u),sigma(v)) -> member(a,sigma(f16(powerset(u),v)))*. % 299.97/300.34 58090[16:Rew:54986.0,50857.1] || equal(ordered_pair(universal_set,u),singleton_set(v))* -> member(a,sigma(ordered_pair(v,w)))*. % 299.97/300.34 58092[16:Rew:54986.0,50862.1] || -> subset(u,v) equal(f17(u,v),a) ordered_pair_predicate(f26(f17(u,v)))*. % 299.97/300.34 58095[16:Rew:54986.0,50865.1] || -> disjoint(u,v) equal(f23(u,v),a) ordered_pair_predicate(f26(f23(u,v)))*. % 299.97/300.34 58098[16:Rew:54986.0,50948.1] || member(sigma(complement(apply_to_two_arguments(u,universal_set,v))),w)* -> member(a,sigma(w)). % 299.97/300.34 58099[16:Rew:54986.0,51221.1] || member(sigma(infinity),second(u)) -> member(a,sigma(f7(sigma(infinity),u)))*. % 299.97/300.34 58100[16:Rew:54986.0,51222.1] || member(sigma(infinity),first(u)) -> member(a,sigma(f4(sigma(infinity),u)))*. % 299.97/300.34 58101[16:Rew:54986.0,51223.1] || member(sigma(infinity),sigma(u)) -> member(a,sigma(f16(sigma(infinity),u)))*. % 299.97/300.34 58104[16:Rew:54986.0,51236.1] || -> equal(u,v) equal(f1(u,v),a) ordered_pair_predicate(f26(f1(u,v)))*. % 299.97/300.34 58105[16:Rew:54986.0,51273.0] || -> equal(image(union(u,v),cross_product(intersection(complement(u),complement(v)),w)),a)**. % 299.97/300.34 59175[16:Rew:54986.0,58107.1] || -> equal(singleton_set(ordered_pair(universal_set,u)),a) member(a,sigma(singleton_set(ordered_pair(universal_set,u))))*. % 299.97/300.34 58109[16:Rew:54986.0,51487.2] || subset(universal_set,powerset(f25))* -> single_valued_set(sigma(infinity)) equal(f19(sigma(infinity)),a). % 299.97/300.34 58110[16:Rew:54986.0,51554.0] || -> member(a,sigma(complement(range_of(cross_product(u,v)))))* member(ordered_pair(universal_set,w),v)*. % 299.97/300.34 58111[16:Rew:54986.0,51556.0] || -> member(a,sigma(complement(cross_product(u,v))))* member(first(ordered_pair(universal_set,w)),u)*. % 299.97/300.34 58112[16:Rew:54986.0,51555.0] || -> member(a,sigma(complement(cross_product(u,v))))* member(second(ordered_pair(universal_set,w)),v)*. % 299.97/300.34 58113[16:Rew:54986.0,51557.0] || -> member(a,sigma(complement(domain_of(cross_product(u,v)))))* member(ordered_pair(universal_set,w),u)*. % 299.97/300.34 67537[16:Res:35.2,58846.0] little_set(successor(a)) || -> member(successor(a),u) member(a,sigma(complement(u)))*. % 299.97/300.34 69576[16:SpL:57402.0,53531.1] || disjoint(intersection(complement(u),universal_set),set_b)* disjoint(union(u,a),infinity) -> . % 299.97/300.34 69872[16:SpL:57520.0,53531.1] || disjoint(intersection(universal_set,complement(u)),set_b)* disjoint(union(a,u),infinity) -> . % 299.97/300.34 70286[16:SpL:57402.0,60769.1] || disjoint(intersection(complement(u),universal_set),set_a)* disjoint(union(u,a),infinity) -> . % 299.97/300.34 70287[16:SpL:57520.0,60769.1] || disjoint(intersection(universal_set,complement(u)),set_a)* disjoint(union(a,u),infinity) -> . % 299.97/300.34 70301[16:SpL:57402.0,60817.1] || disjoint(intersection(complement(u),universal_set),set_a)* disjoint(union(u,a),set_b) -> . % 299.97/300.34 70302[16:SpL:57520.0,60817.1] || disjoint(intersection(universal_set,complement(u)),set_a)* disjoint(union(a,u),set_b) -> . % 299.97/300.34 70372[16:SpL:57402.0,64105.1] || disjoint(intersection(complement(u),universal_set),set_b)* disjoint(union(u,a),set_a) -> . % 299.97/300.34 70373[16:SpL:57520.0,64105.1] || disjoint(intersection(universal_set,complement(u)),set_b)* disjoint(union(a,u),set_a) -> . % 299.97/300.34 70505[16:SpL:57402.0,64449.1] || disjoint(intersection(complement(u),universal_set),set_b)* disjoint(universal_set,union(u,a)) -> . % 299.97/300.34 70506[16:SpL:57520.0,64449.1] || disjoint(intersection(universal_set,complement(u)),set_b)* disjoint(universal_set,union(a,u)) -> . % 299.97/300.34 70591[16:SpL:57402.0,64452.1] || disjoint(intersection(complement(u),universal_set),set_a)* disjoint(universal_set,union(u,a)) -> . % 299.97/300.34 70592[16:SpL:57520.0,64452.1] || disjoint(intersection(universal_set,complement(u)),set_a)* disjoint(universal_set,union(a,u)) -> . % 299.97/300.34 70602[16:SpL:57402.0,65784.1] || disjoint(intersection(complement(u),universal_set),infinity)* disjoint(union(u,a),set_b) -> . % 299.97/300.34 70603[16:SpL:57520.0,65784.1] || disjoint(intersection(universal_set,complement(u)),infinity)* disjoint(union(a,u),set_b) -> . % 299.97/300.34 70693[16:SpL:57402.0,65786.1] || disjoint(intersection(complement(u),universal_set),infinity)* disjoint(union(u,a),set_a) -> . % 299.97/300.34 70694[16:SpL:57520.0,65786.1] || disjoint(intersection(universal_set,complement(u)),infinity)* disjoint(union(a,u),set_a) -> . % 299.97/300.34 70707[16:SpR:57402.0,65798.1] || disjoint(successor(intersection(complement(u),universal_set)),set_b)* -> member(a,union(u,a)). % 299.97/300.34 70708[16:SpR:57520.0,65798.1] || disjoint(successor(intersection(universal_set,complement(u))),set_b)* -> member(a,union(a,u)). % 299.97/300.34 70723[16:Res:65798.1,70.0] || disjoint(successor(u),set_b) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 70895[16:SpR:57402.0,65800.1] || disjoint(successor(intersection(complement(u),universal_set)),set_a)* -> member(a,union(u,a)). % 299.97/300.34 70896[16:SpR:57520.0,65800.1] || disjoint(successor(intersection(universal_set,complement(u))),set_a)* -> member(a,union(a,u)). % 299.97/300.34 70911[16:Res:65800.1,70.0] || disjoint(successor(u),set_a) subset(complement(u),v)* -> member(a,v). % 299.97/300.34 70931[16:SpL:57402.0,65822.1] || disjoint(universal_set,intersection(complement(u),universal_set))* disjoint(union(u,a),set_b) -> . % 299.97/300.34 70932[16:SpL:57520.0,65822.1] || disjoint(universal_set,intersection(universal_set,complement(u)))* disjoint(union(a,u),set_b) -> . % 299.97/300.34 70946[16:SpL:57402.0,65824.1] || disjoint(universal_set,intersection(complement(u),universal_set))* disjoint(union(u,a),set_a) -> . % 299.97/300.34 70947[16:SpL:57520.0,65824.1] || disjoint(universal_set,intersection(universal_set,complement(u)))* disjoint(union(a,u),set_a) -> . % 299.97/300.34 71021[16:SpL:57402.0,70727.0] || disjoint(successor(union(u,a)),set_b) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 71022[16:SpL:57520.0,70727.0] || disjoint(successor(union(a,u)),set_b) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 71028[16:SpL:57402.0,70915.0] || disjoint(successor(union(u,a)),set_a) -> member(a,intersection(complement(u),universal_set))*. % 299.97/300.34 71029[16:SpL:57520.0,70915.0] || disjoint(successor(union(a,u)),set_a) -> member(a,intersection(universal_set,complement(u)))*. % 299.97/300.34 78600[16:Res:71.1,56189.0] || -> subset(u,v) equal(f17(u,v),a) little_set(f26(f17(u,v)))*. % 299.97/300.34 78602[16:Res:99.1,56189.0] || -> disjoint(u,v) equal(f23(u,v),a) little_set(f26(f23(u,v)))*. % 299.97/300.34 78790[16:Res:11042.1,56189.0] || -> equal(u,v) equal(f1(u,v),a) little_set(f26(f1(u,v)))*. % 299.97/300.34 82472[16:Res:82447.1,58999.0] || member(u,cross_product(set_a,set_b)) member(singleton_set(singleton_set(a)),singleton_set(u))* -> . % 299.97/300.34 82496[0:SpR:36.0,82450.1] || -> member(u,intersection(complement(v),complement(w)))* subset(singleton_set(u),union(v,w)). % 299.97/300.34 82661[0:Res:82575.0,1240.2] || subset(u,v)* member(u,singleton_set(w))* -> member(w,powerset(v))*. % 299.97/300.34 82747[16:Res:82637.1,492.1] || equal(f8(u,complement(set_b)),a) member(u,domain_of(complement(set_b)))* -> . % 299.97/300.34 82749[16:Res:82637.1,425.1] || equal(f27(u,complement(set_b)),a) member(u,range_of(complement(set_b)))* -> . % 299.97/300.34 82763[16:Res:82637.1,1213.0] || equal(f23(u,v),a)** disjoint(set_b,u) -> disjoint(u,v). % 299.97/300.34 82764[16:Res:82637.1,1221.0] || equal(f23(u,v),a)** disjoint(set_b,v) -> disjoint(u,v). % 299.97/300.34 82765[16:Res:82637.1,1214.0] || equal(f17(u,v),a)** disjoint(set_b,u) -> subset(u,v). % 299.97/300.34 82803[16:Res:82637.1,258.0] || equal(ordered_pair(f19(complement(set_b)),f21(complement(set_b))),a)** -> single_valued_set(complement(set_b)). % 299.97/300.34 82804[16:Res:82637.1,259.0] || equal(ordered_pair(f19(complement(set_b)),f20(complement(set_b))),a)** -> single_valued_set(complement(set_b)). % 299.97/300.34 82900[3:Res:82638.1,492.1] || equal(f8(u,complement(set_a)),a) member(u,domain_of(complement(set_a)))* -> . % 299.97/300.34 82902[3:Res:82638.1,425.1] || equal(f27(u,complement(set_a)),a) member(u,range_of(complement(set_a)))* -> . % 299.97/300.34 82916[3:Res:82638.1,1213.0] || equal(f23(u,v),a)** disjoint(set_a,u) -> disjoint(u,v). % 299.97/300.34 82917[3:Res:82638.1,1221.0] || equal(f23(u,v),a)** disjoint(set_a,v) -> disjoint(u,v). % 299.97/300.34 82918[3:Res:82638.1,1214.0] || equal(f17(u,v),a)** disjoint(set_a,u) -> subset(u,v). % 299.97/300.34 82956[3:Res:82638.1,258.0] || equal(ordered_pair(f19(complement(set_a)),f21(complement(set_a))),a)** -> single_valued_set(complement(set_a)). % 299.97/300.34 82957[3:Res:82638.1,259.0] || equal(ordered_pair(f19(complement(set_a)),f20(complement(set_a))),a)** -> single_valued_set(complement(set_a)). % 299.97/300.34 83054[16:Res:82641.1,492.1] || equal(f8(u,complement(infinity)),a) member(u,domain_of(complement(infinity)))* -> . % 299.97/300.34 83056[16:Res:82641.1,425.1] || equal(f27(u,complement(infinity)),a) member(u,range_of(complement(infinity)))* -> . % 299.97/300.34 83070[16:Res:82641.1,1213.0] || equal(f23(u,v),a)** disjoint(infinity,u) -> disjoint(u,v). % 299.97/300.34 83071[16:Res:82641.1,1221.0] || equal(f23(u,v),a)** disjoint(infinity,v) -> disjoint(u,v). % 299.97/300.34 83072[16:Res:82641.1,1214.0] || equal(f17(u,v),a)** disjoint(infinity,u) -> subset(u,v). % 299.97/300.34 83110[16:Res:82641.1,258.0] || equal(ordered_pair(f19(complement(infinity)),f21(complement(infinity))),a)** -> single_valued_set(complement(infinity)). % 299.97/300.34 83111[16:Res:82641.1,259.0] || equal(ordered_pair(f19(complement(infinity)),f20(complement(infinity))),a)** -> single_valued_set(complement(infinity)). % 299.97/300.34 83608[16:MRR:58134.2,83558.0] little_set(u) || equal(u,powerset(v))* -> subset(f26(powerset(v)),v)*. % 299.97/300.34 83767[16:Res:83585.1,57812.0] little_set(f25) || -> single_valued_set(f26(powerset(f25))) equal(f19(f26(powerset(f25))),a)**. % 299.97/300.34 83881[16:Res:71.1,83606.1] || subset(f17(f24(powerset(u)),v),u)* -> subset(f24(powerset(u)),v). % 299.97/300.34 83883[16:Res:99.1,83606.1] || subset(f23(f24(powerset(u)),v),u)* -> disjoint(f24(powerset(u)),v). % 299.97/300.34 83894[16:Res:58828.1,83606.1] || subset(f1(f24(powerset(u)),a),u)* -> equal(f24(powerset(u)),a). % 299.97/300.34 83898[16:Res:58827.1,83606.1] || subset(f1(a,f24(powerset(u))),u)* -> equal(f24(powerset(u)),a). % 299.97/300.34 83915[16:Res:100.1,83606.1] || subset(f23(u,f24(powerset(v))),v)* -> disjoint(u,f24(powerset(v))). % 299.97/300.34 83999[16:Res:57169.1,83606.1] || subset(f25,f24(powerset(u))) subset(ordered_pair(powerset(a),a),u)* -> . % 299.97/300.34 84071[2:Res:71.1,25433.0] || subset(u,f17(image(u,v),w))* -> subset(image(u,v),w). % 299.97/300.34 84073[2:Res:99.1,25433.0] || subset(u,f23(image(u,v),w))* -> disjoint(image(u,v),w). % 299.97/300.34 84084[16:Res:58828.1,25433.0] || subset(u,f1(image(u,v),a))* -> equal(image(u,v),a). % 299.97/300.34 84088[16:Res:58827.1,25433.0] || subset(u,f1(a,image(u,v)))* -> equal(image(u,v),a). % 299.97/300.34 84105[2:Res:100.1,25433.0] || subset(u,f23(v,image(u,w)))* -> disjoint(v,image(u,w)). % 299.97/300.34 84188[16:Res:57170.1,25433.0] || subset(universal_set,image(u,v))* subset(u,ordered_pair(powerset(a),a))* -> . % 299.97/300.34 84189[16:Res:57169.1,25433.0] || subset(f25,image(u,v))* subset(u,ordered_pair(powerset(a),a))* -> . % 299.97/300.34 86562[16:SpR:57827.0,122.0] || -> member(ordered_pair(u,v),w) equal(apply_to_two_arguments(cross_product(w,x),u,v),a)**. % 299.97/300.34 86563[16:SpR:57827.0,587.0] || -> member(singleton_set(singleton_set(u)),v) equal(apply_to_two_arguments(cross_product(v,w),u,u),a)**. % 299.97/300.34 86770[7:SoR:10938.0,32537.1] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),sigma(infinity))** -> . % 299.97/300.34 86771[16:SoR:10938.0,56319.1] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),singleton_set(a))** -> . % 299.97/300.34 86772[16:SoR:10938.0,56677.1] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),powerset(a))** -> . % 299.97/300.34 87587[16:Res:82665.1,98.0] || equal(a,u) member(u,v)* disjoint(v,sigma(infinity))* -> . % 299.97/300.34 87588[16:Res:82665.1,68.0] || equal(a,u) member(sigma(infinity),v)* -> member(u,sigma(v))*. % 299.97/300.34 87607[16:Res:82665.1,257.0] || equal(f17(complement(sigma(infinity)),u),a)** -> subset(complement(sigma(infinity)),u). % 299.97/300.34 87608[16:Res:82665.1,256.0] || equal(f23(complement(sigma(infinity)),u),a)** -> disjoint(complement(sigma(infinity)),u). % 299.97/300.34 87621[16:Res:82665.1,260.0] || equal(f23(u,complement(sigma(infinity))),a)** -> disjoint(u,complement(sigma(infinity))). % 299.97/300.34 87631[16:Res:82665.1,55063.0] || equal(f24(u),a) disjoint(sigma(infinity),u)* -> equal(u,a). % 299.97/300.34 87742[16:Res:82681.1,98.0] || equal(a,u) member(u,v)* disjoint(v,successor(a))* -> . % 299.97/300.34 87743[16:Res:82681.1,68.0] || equal(a,u) member(successor(a),v)* -> member(u,sigma(v))*. % 299.97/300.34 87761[16:Res:82681.1,257.0] || equal(f17(complement(successor(a)),u),a)** -> subset(complement(successor(a)),u). % 299.97/300.34 87762[16:Res:82681.1,256.0] || equal(f23(complement(successor(a)),u),a)** -> disjoint(complement(successor(a)),u). % 299.97/300.34 87775[16:Res:82681.1,260.0] || equal(f23(u,complement(successor(a))),a)** -> disjoint(u,complement(successor(a))). % 299.97/300.34 87785[16:Res:82681.1,55063.0] || equal(f24(u),a) disjoint(successor(a),u)* -> equal(u,a). % 299.97/300.34 87912[16:Res:83494.1,98.0] || member(a,u) disjoint(u,complement(singleton_set(v)))* -> equal(v,a). % 299.97/300.34 87913[16:Res:83494.1,68.0] || member(complement(singleton_set(u)),v)* -> equal(u,a) member(a,sigma(v)). % 299.97/300.34 87968[16:Rew:87905.1,82904.1] || equal(f1(u,set_a),a)** member(a,u) -> equal(u,set_a). % 299.97/300.34 87969[16:Rew:87905.1,82751.1] || equal(f1(u,set_b),a)** member(a,u) -> equal(u,set_b). % 299.97/300.34 87973[16:Rew:87905.1,83058.1] || equal(f1(u,infinity),a)** member(a,u) -> equal(u,infinity). % 299.97/300.34 88006[16:Rew:87905.1,12554.2] || member(u,v)* equal(second(u),a) -> member(a,range_of(v))*. % 299.97/300.34 88009[16:Rew:87905.1,12523.2] || member(u,v)* equal(first(u),a) -> member(a,domain_of(v))*. % 299.97/300.34 88057[0:Res:13775.1,4259.0] || member(f1(powerset(sigma(u)),universal_set),u)* -> equal(powerset(sigma(u)),universal_set). % 299.97/300.34 88059[0:Res:13861.1,4259.0] || disjoint(u,f1(powerset(complement(u)),universal_set))* -> equal(powerset(complement(u)),universal_set). % 299.97/300.34 88081[3:Res:82671.1,98.0] || equal(infinity,u) member(u,v) disjoint(v,singleton_set(u))* -> . % 299.97/300.34 88082[3:Res:82671.1,68.0] || equal(infinity,u) member(singleton_set(u),v)* -> member(u,sigma(v)). % 299.97/300.34 88142[16:Res:82671.1,58883.1] || equal(singleton_set(singleton_set(a)),infinity) disjoint(universal_set,singleton_set(singleton_set(singleton_set(a))))* -> . % 299.97/300.34 88219[16:Res:82681.1,58983.0] || equal(f1(complement(successor(a)),a),a)** -> equal(complement(successor(a)),a). % 299.97/300.34 88222[16:Res:82665.1,58983.0] || equal(f1(complement(sigma(infinity)),a),a)** -> equal(complement(sigma(infinity)),a). % 299.97/300.34 88227[16:MRR:88207.0,5.0] || equal(f1(complement(singleton_set(u)),a),u)** -> equal(complement(singleton_set(u)),a). % 299.97/300.34 88228[16:MRR:88206.0,5.0] || subset(f1(complement(powerset(u)),a),u)* -> equal(complement(powerset(u)),a). % 299.97/300.34 88299[16:Res:82681.1,58984.0] || equal(f1(a,complement(successor(a))),a)** -> equal(complement(successor(a)),a). % 299.97/300.34 88302[16:Res:82665.1,58984.0] || equal(f1(a,complement(sigma(infinity))),a)** -> equal(complement(sigma(infinity)),a). % 299.97/300.34 88307[16:MRR:88287.0,5.0] || equal(f1(a,complement(singleton_set(u))),u)** -> equal(complement(singleton_set(u)),a). % 299.97/300.34 88308[16:MRR:88286.0,5.0] || subset(f1(a,complement(powerset(u))),u)* -> equal(complement(powerset(u)),a). % 299.97/300.34 88358[3:Res:88327.1,68.0] || subset(infinity,u) member(powerset(u),v)* -> member(infinity,sigma(v)). % 299.97/300.34 88413[16:Res:57853.0,1444.0] || -> equal(complement(complement(singleton_set(u))),a) equal(f24(complement(complement(singleton_set(u)))),u)**. % 299.97/300.34 88697[16:Res:88372.1,98.0] || member(a,u) disjoint(u,complement(singleton_set(v)))* -> subset(v,w)*. % 299.97/300.34 88698[16:Res:88372.1,68.0] || member(complement(singleton_set(u)),v)* -> subset(u,w)* member(a,sigma(v)). % 299.97/300.34 88841[16:Con:88468.3] || -> member(a,complement(singleton_set(u))) equal(u,v) member(f1(u,v),v)*. % 299.97/300.34 88842[16:Con:88469.3] || -> member(a,complement(singleton_set(u))) equal(v,u) member(f1(v,u),v)*. % 299.97/300.34 89108[6:EmS:10805.0,3913.2] little_set(u) || equal(universal_set,v) equal(v,singleton_set(singleton_set(u)))* -> . % 299.97/300.34 89170[7:Res:33376.1,14370.1] || member(universal_set,powerset(converse(complement(u))))* member(sigma(infinity),converse(u)) -> . % 299.97/300.34 89171[7:Res:26831.1,14370.1] || disjoint(complement(converse(complement(u))),universal_set)* member(sigma(infinity),converse(u)) -> . % 299.97/300.34 89172[7:Res:26830.1,14370.1] || disjoint(universal_set,complement(converse(complement(u))))* member(sigma(infinity),converse(u)) -> . % 299.97/300.34 89174[16:Res:55074.1,14370.1] || member(f24(converse(complement(u))),converse(u))* -> equal(converse(complement(u)),a). % 299.97/300.34 89178[16:Res:56367.1,14370.1] || member(universal_set,powerset(converse(complement(u))))* member(singleton_set(a),converse(u)) -> . % 299.97/300.34 89179[16:Res:56366.1,14370.1] || disjoint(complement(converse(complement(u))),universal_set)* member(singleton_set(a),converse(u)) -> . % 299.97/300.34 89180[16:Res:56365.1,14370.1] || disjoint(universal_set,complement(converse(complement(u))))* member(singleton_set(a),converse(u)) -> . % 299.97/300.34 89182[16:Res:56728.1,14370.1] || member(universal_set,powerset(converse(complement(u))))* member(powerset(a),converse(u)) -> . % 299.97/300.34 89183[16:Res:56727.1,14370.1] || disjoint(complement(converse(complement(u))),universal_set)* member(powerset(a),converse(u)) -> . % 299.97/300.34 89184[16:Res:56726.1,14370.1] || disjoint(universal_set,complement(converse(complement(u))))* member(powerset(a),converse(u)) -> . % 299.97/300.34 89269[14:Res:42571.1,14370.1] || subset(universal_set,converse(complement(u))) member(ordered_pair(universal_set,v),converse(u))* -> . % 299.97/300.34 89404[7:Res:33376.1,43745.1] || member(universal_set,powerset(flip_range_of(complement(flip_range_of(u)))))* member(sigma(infinity),u) -> . % 299.97/300.34 89405[7:Res:26831.1,43745.1] || disjoint(complement(flip_range_of(complement(flip_range_of(u)))),universal_set)* member(sigma(infinity),u) -> . % 299.97/300.34 89406[7:Res:26830.1,43745.1] || disjoint(universal_set,complement(flip_range_of(complement(flip_range_of(u)))))* member(sigma(infinity),u) -> . % 299.97/300.34 89412[16:Res:56367.1,43745.1] || member(universal_set,powerset(flip_range_of(complement(flip_range_of(u)))))* member(singleton_set(a),u) -> . % 299.97/300.34 89413[16:Res:56366.1,43745.1] || disjoint(complement(flip_range_of(complement(flip_range_of(u)))),universal_set)* member(singleton_set(a),u) -> . % 299.97/300.34 89414[16:Res:56365.1,43745.1] || disjoint(universal_set,complement(flip_range_of(complement(flip_range_of(u)))))* member(singleton_set(a),u) -> . % 299.97/300.34 89416[16:Res:56728.1,43745.1] || member(universal_set,powerset(flip_range_of(complement(flip_range_of(u)))))* member(powerset(a),u) -> . % 299.97/300.34 89417[16:Res:56727.1,43745.1] || disjoint(complement(flip_range_of(complement(flip_range_of(u)))),universal_set)* member(powerset(a),u) -> . % 299.97/300.34 89418[16:Res:56726.1,43745.1] || disjoint(universal_set,complement(flip_range_of(complement(flip_range_of(u)))))* member(powerset(a),u) -> . % 299.97/300.34 89504[14:Res:42571.1,43745.1] || subset(universal_set,flip_range_of(complement(flip_range_of(u))))* member(ordered_pair(universal_set,v),u)* -> . % 299.97/300.34 89672[16:EmS:10805.0,57704.1] || equal(second(f24(cross_product(u,v))),universal_set)** -> equal(cross_product(u,v),a). % 299.97/300.34 89740[16:EmS:10805.0,57706.1] || equal(first(f24(cross_product(u,v))),universal_set)** -> equal(cross_product(u,v),a). % 299.97/300.34 89812[16:Rew:55529.1,89801.2] || equal(u,universal_set) equal(f17(v,a),u)* -> subset(v,a). % 299.97/300.34 90376[12:Rew:90184.0,39273.0] || disjoint(intersection(complement(u),complement(v)),universal_set)* -> member(infinity,union(u,v)). % 299.97/300.34 90921[16:Rew:90184.0,57421.0] || disjoint(intersection(complement(u),universal_set),universal_set)* disjoint(union(u,a),universal_set) -> . % 299.97/300.34 90922[16:Rew:90184.0,57414.0] || disjoint(intersection(complement(u),universal_set),universal_set)* disjoint(union(u,a),infinity) -> . % 299.97/300.34 90923[16:Rew:90184.0,57411.0] || disjoint(intersection(complement(u),universal_set),universal_set)* disjoint(union(u,a),set_a) -> . % 299.97/300.34 90924[16:Rew:90184.0,57408.0] || disjoint(intersection(complement(u),universal_set),universal_set)* disjoint(union(u,a),set_b) -> . % 299.97/300.34 90929[16:Rew:90184.0,57539.0] || disjoint(intersection(universal_set,complement(u)),universal_set)* disjoint(union(a,u),universal_set) -> . % 299.97/300.34 90930[16:Rew:90184.0,57532.0] || disjoint(intersection(universal_set,complement(u)),universal_set)* disjoint(union(a,u),infinity) -> . % 299.97/300.34 90931[16:Rew:90184.0,57529.0] || disjoint(intersection(universal_set,complement(u)),universal_set)* disjoint(union(a,u),set_a) -> . % 299.97/300.34 90932[16:Rew:90184.0,57526.0] || disjoint(intersection(universal_set,complement(u)),universal_set)* disjoint(union(a,u),set_b) -> . % 299.97/300.34 91301[16:Rew:90184.0,91107.2] || equal(f1(u,universal_set),a)** member(a,u) -> equal(u,universal_set). % 299.97/300.34 92580[7:Res:33376.1,19261.0] || member(universal_set,powerset(sigma(intersection(u,v))))* -> member(sigma(infinity),sigma(u)). % 299.97/300.34 92581[7:Res:26831.1,19261.0] || disjoint(complement(sigma(intersection(u,v))),universal_set)* -> member(sigma(infinity),sigma(u)). % 299.97/300.34 92582[7:Res:26830.1,19261.0] || disjoint(universal_set,complement(sigma(intersection(u,v))))* -> member(sigma(infinity),sigma(u)). % 299.97/300.34 92588[16:Res:56367.1,19261.0] || member(universal_set,powerset(sigma(intersection(u,v))))* -> member(singleton_set(a),sigma(u)). % 299.97/300.34 92589[16:Res:56366.1,19261.0] || disjoint(complement(sigma(intersection(u,v))),universal_set)* -> member(singleton_set(a),sigma(u)). % 299.97/300.34 92590[16:Res:56365.1,19261.0] || disjoint(universal_set,complement(sigma(intersection(u,v))))* -> member(singleton_set(a),sigma(u)). % 299.97/300.34 92592[16:Res:56728.1,19261.0] || member(universal_set,powerset(sigma(intersection(u,v))))* -> member(powerset(a),sigma(u)). % 299.97/300.34 92593[16:Res:56727.1,19261.0] || disjoint(complement(sigma(intersection(u,v))),universal_set)* -> member(powerset(a),sigma(u)). % 299.97/300.34 92594[16:Res:56726.1,19261.0] || disjoint(universal_set,complement(sigma(intersection(u,v))))* -> member(powerset(a),sigma(u)). % 299.97/300.34 92679[14:Res:42571.1,19261.0] || subset(universal_set,sigma(intersection(u,v)))* -> member(ordered_pair(universal_set,w),sigma(u))*. % 299.97/300.34 92751[0:SpL:113.0,19263.0] || member(u,sigma(restrict(v,w)))* -> member(u,sigma(cross_product(w,universal_set))). % 299.97/300.34 92782[7:Res:33376.1,19263.0] || member(universal_set,powerset(sigma(intersection(u,v))))* -> member(sigma(infinity),sigma(v)). % 299.97/300.34 92783[7:Res:26831.1,19263.0] || disjoint(complement(sigma(intersection(u,v))),universal_set)* -> member(sigma(infinity),sigma(v)). % 299.97/300.34 92784[7:Res:26830.1,19263.0] || disjoint(universal_set,complement(sigma(intersection(u,v))))* -> member(sigma(infinity),sigma(v)). % 299.97/300.34 92790[16:Res:56367.1,19263.0] || member(universal_set,powerset(sigma(intersection(u,v))))* -> member(singleton_set(a),sigma(v)). % 299.97/300.34 92791[16:Res:56366.1,19263.0] || disjoint(complement(sigma(intersection(u,v))),universal_set)* -> member(singleton_set(a),sigma(v)). % 299.97/300.34 92792[16:Res:56365.1,19263.0] || disjoint(universal_set,complement(sigma(intersection(u,v))))* -> member(singleton_set(a),sigma(v)). % 299.97/300.34 92794[16:Res:56728.1,19263.0] || member(universal_set,powerset(sigma(intersection(u,v))))* -> member(powerset(a),sigma(v)). % 299.97/300.34 92795[16:Res:56727.1,19263.0] || disjoint(complement(sigma(intersection(u,v))),universal_set)* -> member(powerset(a),sigma(v)). % 299.97/300.34 92796[16:Res:56726.1,19263.0] || disjoint(universal_set,complement(sigma(intersection(u,v))))* -> member(powerset(a),sigma(v)). % 299.97/300.34 92881[14:Res:42571.1,19263.0] || subset(universal_set,sigma(intersection(u,v)))* -> member(ordered_pair(universal_set,w),sigma(v))*. % 299.97/300.34 93002[16:Res:561.1,56181.0] || closed(u,v) disjoint(u,range_of(v))* -> equal(range_of(v),a). % 299.97/300.34 93004[16:Res:83578.0,56181.0] || disjoint(u,f1(powerset(u),a))* -> equal(f1(powerset(u),a),a). % 299.97/300.34 93005[16:Res:83579.0,56181.0] || disjoint(u,f1(a,powerset(u)))* -> equal(f1(a,powerset(u)),a). % 299.97/300.34 93035[16:Res:11253.0,56181.0] || disjoint(cross_product(u,universal_set),restrict(v,u))* -> equal(restrict(v,u),a). % 299.97/300.34 93037[16:Res:82450.1,56181.0] || disjoint(complement(u),singleton_set(v))* -> member(v,u) equal(singleton_set(v),a). % 299.97/300.34 93068[16:MRR:93024.2,92296.0] || member(u,sigma(powerset(v))) disjoint(v,f16(u,powerset(v)))* -> . % 299.97/300.34 93148[16:Res:11437.1,57678.0] || subset(intersection(complement(u),v),u)* -> equal(intersection(complement(u),v),a). % 299.97/300.34 93919[16:MRR:91815.3,93825.2] little_set(u) || equal(non_ordered_pair(v,w),a)** equal(u,w)* -> . % 299.97/300.34 93920[16:MRR:91814.3,93826.2] little_set(u) || equal(non_ordered_pair(v,w),a)** equal(u,v)* -> . % 299.97/300.34 93935[16:Res:11437.1,57709.0] || subset(intersection(u,complement(v)),v)* -> equal(intersection(u,complement(v)),a). % 299.97/300.34 94208[16:Res:57719.1,10857.1] || equal(successor(f24(restrict(infinity,u))),universal_set)** -> equal(restrict(infinity,u),a). % 299.97/300.34 94209[16:Res:57719.1,76.0] || -> equal(restrict(powerset(u),v),a) subset(f24(restrict(powerset(u),v)),u)*. % 299.97/300.34 94210[16:Res:57719.1,1444.0] || -> equal(restrict(singleton_set(u),v),a) equal(f24(restrict(singleton_set(u),v)),u)**. % 299.97/300.34 94263[16:Res:88837.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(complement(complement(singleton_set(a))))))* -> . % 299.97/300.34 94264[16:Res:88837.0,68.0] || member(complement(singleton_set(complement(complement(singleton_set(a))))),u)* -> member(a,sigma(u)). % 299.97/300.34 94459[7:Res:26416.1,14041.0] || subset(universal_set,powerset(u))* disjoint(u,v)* -> disjoint(sigma(infinity),v)*. % 299.97/300.34 94461[16:Res:56334.1,14041.0] || subset(universal_set,powerset(u))* disjoint(u,v)* -> disjoint(singleton_set(a),v)*. % 299.97/300.34 94486[16:Res:58871.1,14041.0] || equal(a,u) disjoint(singleton_set(u),v)* -> disjoint(powerset(a),v)*. % 299.97/300.34 94489[16:Res:56696.1,14041.0] || subset(universal_set,powerset(u))* disjoint(u,v)* -> disjoint(powerset(a),v)*. % 299.97/300.34 94492[0:Res:82452.1,14041.0] || subset(u,v)* disjoint(powerset(v),w)* -> disjoint(singleton_set(u),w)*. % 299.97/300.34 94789[7:Res:26416.1,14151.0] || subset(universal_set,powerset(u))* disjoint(u,v)* -> disjoint(v,sigma(infinity))*. % 299.97/300.34 94791[16:Res:56334.1,14151.0] || subset(universal_set,powerset(u))* disjoint(u,v)* -> disjoint(v,singleton_set(a))*. % 299.97/300.34 94816[16:Res:58871.1,14151.0] || equal(a,u) disjoint(singleton_set(u),v)* -> disjoint(v,powerset(a))*. % 299.97/300.34 94819[16:Res:56696.1,14151.0] || subset(universal_set,powerset(u))* disjoint(u,v)* -> disjoint(v,powerset(a))*. % 299.97/300.34 94822[0:Res:82452.1,14151.0] || subset(u,v)* disjoint(powerset(v),w)* -> disjoint(w,singleton_set(u))*. % 299.97/300.34 94829[16:Res:91681.1,98.0] || equal(complement(u),a) member(infinity,v)* disjoint(v,u)* -> . % 299.97/300.34 94830[16:Res:91681.1,68.0] || equal(complement(u),a) member(u,v)* -> member(infinity,sigma(v))*. % 299.97/300.34 94846[16:Res:91681.1,8.0] || equal(complement(non_ordered_pair(u,v)),a)** -> equal(infinity,v) equal(infinity,u). % 299.97/300.34 94866[16:Res:91681.1,644.1] || equal(complement(second(f8(infinity,u))),a)** member(infinity,domain_of(u)) -> . % 299.97/300.34 94940[16:Res:88372.0,57998.0] || -> member(a,complement(singleton_set(f24(complement(powerset(u))))))* equal(complement(powerset(u)),a). % 299.97/300.34 95322[0:Res:13861.1,1181.1] || disjoint(u,sigma(v))* member(set_a,v) -> member(a,complement(u))*. % 299.97/300.34 95357[16:Res:92031.1,98.0] || equal(complement(u),a) member(a,v)* disjoint(v,u)* -> . % 299.97/300.34 95358[16:Res:92031.1,68.0] || equal(complement(u),a) member(u,v)* -> member(a,sigma(v))*. % 299.97/300.34 95374[16:Res:92031.1,8.0] || equal(complement(non_ordered_pair(u,v)),a)** -> equal(a,v) equal(a,u). % 299.97/300.34 95394[16:Res:92031.1,644.1] || equal(complement(second(f8(a,u))),a)** member(a,domain_of(u)) -> . % 299.97/300.34 95538[16:SpR:92193.1,36.0] || equal(intersection(complement(u),complement(v)),a)** -> equal(union(u,v),universal_set). % 299.97/300.34 96184[0:MRR:96129.0,96129.1,85.1,83.1] || member(u,f21(singleton_set(v)))* -> single_valued_set(singleton_set(v)) member(u,second(v)). % 299.97/300.34 96185[0:MRR:96128.0,96128.1,85.1,83.1] || member(u,f19(singleton_set(v)))* -> single_valued_set(singleton_set(v)) member(u,first(v)). % 299.97/300.34 96415[16:Res:965.2,92502.1] || member(u,domain_of(v))* subset(v,w)* equal(a,w) -> . % 299.97/300.34 96417[16:Res:964.2,92502.1] || member(u,sigma(v))* subset(v,w)* equal(a,w) -> . % 299.97/300.34 96419[16:Res:963.2,92502.1] || member(u,range_of(v))* subset(v,w)* equal(a,w) -> . % 299.97/300.34 96444[16:Res:4622.2,92502.1] || member(u,flip_range_of(v))* subset(v,w)* equal(a,w) -> . % 299.97/300.34 96446[16:Res:4770.2,92502.1] || member(u,rotate_right(v))* subset(v,w)* equal(a,w) -> . % 299.97/300.34 96829[0:MRR:96775.0,96775.1,84.1,83.1] || member(u,f20(singleton_set(v)))* -> single_valued_set(singleton_set(v)) member(u,second(v)). % 299.97/300.34 96960[0:Res:21407.1,1238.0] ordered_pair_predicate(u) || disjoint(converse(powerset(ordered_pair(second(u),first(u)))),universal_set)* -> . % 299.97/300.34 96971[2:Res:21407.1,15679.1] ordered_pair_predicate(set_b) || disjoint(universal_set,converse(powerset(ordered_pair(second(set_b),first(set_b)))))* -> . % 299.97/300.34 96973[2:Res:21407.1,15721.1] ordered_pair_predicate(set_a) || disjoint(universal_set,converse(powerset(ordered_pair(second(set_a),first(set_a)))))* -> . % 299.97/300.34 97016[16:Res:21407.1,92502.1] ordered_pair_predicate(u) || equal(converse(powerset(ordered_pair(second(u),first(u)))),a)** -> . % 299.97/300.34 97223[16:Res:13861.1,55314.1] || disjoint(u,sigma(v))* member(infinity,v) -> member(a,complement(u))*. % 299.97/300.34 97307[16:Res:13861.1,55350.1] || disjoint(u,sigma(v))* member(set_b,v) -> member(a,complement(u))*. % 299.97/300.34 97611[16:Res:92031.1,2899.0] || equal(complement(domain_of(singleton_set(u))),a) -> equal(f8(a,singleton_set(u)),u)**. % 299.97/300.34 97612[16:Res:91681.1,2899.0] || equal(complement(domain_of(singleton_set(u))),a) -> equal(f8(infinity,singleton_set(u)),u)**. % 299.97/300.34 97634[7:Res:26333.1,2899.0] || subset(universal_set,domain_of(singleton_set(u))) -> equal(f8(sigma(infinity),singleton_set(u)),u)**. % 299.97/300.34 97643[16:Res:56369.1,2899.0] || subset(universal_set,domain_of(singleton_set(u))) -> equal(f8(singleton_set(a),singleton_set(u)),u)**. % 299.97/300.34 97647[16:Res:56731.1,2899.0] || subset(universal_set,domain_of(singleton_set(u))) -> equal(f8(powerset(a),singleton_set(u)),u)**. % 299.97/300.34 97824[16:Res:92031.1,2938.0] || equal(complement(sigma(singleton_set(u))),a) -> equal(f16(a,singleton_set(u)),u)**. % 299.97/300.34 97825[16:Res:91681.1,2938.0] || equal(complement(sigma(singleton_set(u))),a) -> equal(f16(infinity,singleton_set(u)),u)**. % 299.97/300.34 97847[7:Res:26333.1,2938.0] || subset(universal_set,sigma(singleton_set(u))) -> equal(f16(sigma(infinity),singleton_set(u)),u)**. % 299.97/300.34 97856[16:Res:56369.1,2938.0] || subset(universal_set,sigma(singleton_set(u))) -> equal(f16(singleton_set(a),singleton_set(u)),u)**. % 299.97/300.34 97860[16:Res:56731.1,2938.0] || subset(universal_set,sigma(singleton_set(u))) -> equal(f16(powerset(a),singleton_set(u)),u)**. % 299.97/300.34 98067[16:Res:92031.1,2959.0] || equal(complement(range_of(singleton_set(u))),a) -> equal(f27(a,singleton_set(u)),u)**. % 299.97/300.34 98068[16:Res:91681.1,2959.0] || equal(complement(range_of(singleton_set(u))),a) -> equal(f27(infinity,singleton_set(u)),u)**. % 299.97/300.34 98090[7:Res:26333.1,2959.0] || subset(universal_set,range_of(singleton_set(u))) -> equal(f27(sigma(infinity),singleton_set(u)),u)**. % 299.97/300.34 98099[16:Res:56369.1,2959.0] || subset(universal_set,range_of(singleton_set(u))) -> equal(f27(singleton_set(a),singleton_set(u)),u)**. % 299.97/300.34 98103[16:Res:56731.1,2959.0] || subset(universal_set,range_of(singleton_set(u))) -> equal(f27(powerset(a),singleton_set(u)),u)**. % 299.97/300.34 98325[0:Obv:98279.1] || member(u,v)* -> subset(u,complement(singleton_set(w)))* member(w,sigma(v))*. % 299.97/300.34 98328[0:Obv:98297.2] || member(u,v)* disjoint(v,w)* -> subset(w,complement(singleton_set(u)))*. % 299.97/300.34 98331[0:Rew:6840.1,98330.1] || -> subset(non_ordered_pair(u,v),complement(singleton_set(w)))* equal(w,v) equal(w,u). % 299.97/300.34 98454[16:Rew:92193.1,98365.2] || equal(complement(u),a) -> member(f17(universal_set,v),u)* subset(universal_set,v). % 299.97/300.34 98571[16:Rew:92193.1,98478.2] || equal(complement(u),a) -> member(f23(v,universal_set),u)* disjoint(v,universal_set). % 299.97/300.34 98761[16:Rew:92193.1,98668.2] || equal(complement(u),a) -> member(f23(universal_set,v),u)* disjoint(universal_set,v). % 299.97/300.34 98853[16:Res:98045.1,57709.0] || disjoint(set_b,intersection(u,powerset(a)))* -> equal(intersection(u,powerset(a)),a). % 299.97/300.34 98854[16:Res:98045.1,57678.0] || disjoint(set_b,intersection(powerset(a),u))* -> equal(intersection(powerset(a),u),a). % 299.97/300.34 98856[16:Res:98045.1,1239.1] || disjoint(set_b,complement(u))* member(v,powerset(a))* -> member(v,u)*. % 299.97/300.34 98893[16:Res:98596.1,58999.0] || equal(complement(cross_product(set_a,set_b)),a) member(singleton_set(singleton_set(a)),universal_set)* -> . % 299.97/300.34 99055[16:MRR:98891.2,93706.1] || equal(complement(u),a) -> equal(universal_set,v) member(f1(universal_set,v),u)*. % 299.97/300.34 99056[16:MRR:98892.2,4163.0] || equal(complement(u),a) -> equal(v,universal_set) member(f1(v,universal_set),u)*. % 299.97/300.34 99068[16:SpR:36.0,98785.1] || disjoint(set_b,intersection(complement(u),complement(v)))* -> member(a,union(u,v)). % 299.97/300.34 99086[16:Res:98785.1,98.0] || disjoint(set_b,u) member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 99087[16:Res:98785.1,68.0] || disjoint(set_b,u) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 99283[0:Res:18201.1,1238.0] ordered_pair_predicate(u) || disjoint(converse(complement(v)),universal_set)* -> member(u,converse(v))*. % 299.97/300.34 99296[2:Res:18201.1,15679.1] ordered_pair_predicate(set_b) || disjoint(universal_set,converse(complement(u)))* -> member(set_b,converse(u)). % 299.97/300.34 99298[2:Res:18201.1,15721.1] ordered_pair_predicate(set_a) || disjoint(universal_set,converse(complement(u)))* -> member(set_a,converse(u)). % 299.97/300.34 99381[16:Res:18201.1,92502.1] ordered_pair_predicate(u) || equal(converse(complement(v)),a) -> member(u,converse(v))*. % 299.97/300.34 99446[3:MRR:99317.0,6168.1] || -> member(f17(u,converse(complement(v))),converse(v))* subset(u,converse(complement(v))). % 299.97/300.34 99447[3:MRR:99303.0,6237.1] || -> member(f1(converse(complement(u)),universal_set),converse(u))* equal(converse(complement(u)),universal_set). % 299.97/300.34 99599[0:Res:22366.2,1238.0] ordered_pair_predicate(u) || member(v,f2(u))* disjoint(first(u),universal_set) -> . % 299.97/300.34 99601[16:Res:22366.2,98786.1] ordered_pair_predicate(u) || member(a,f2(u))* disjoint(set_b,first(u)) -> . % 299.97/300.34 99602[16:Res:22366.2,55636.1] ordered_pair_predicate(u) || member(a,f2(u))* disjoint(universal_set,first(u)) -> . % 299.97/300.34 99603[16:Res:22366.2,54995.0] ordered_pair_predicate(u) || member(a,f2(u))* disjoint(first(u),set_b) -> . % 299.97/300.34 99604[16:Res:22366.2,54989.0] ordered_pair_predicate(u) || member(a,f2(u))* disjoint(first(u),infinity) -> . % 299.97/300.34 99605[0:Res:22366.2,1197.0] ordered_pair_predicate(u) || member(a,f2(u))* disjoint(first(u),set_a) -> . % 299.97/300.34 99606[0:Res:22366.2,7326.0] ordered_pair_predicate(u) || member(universal_set,f2(u))* -> equal(sigma(first(u)),universal_set). % 299.97/300.34 99608[2:Res:22366.2,15679.1] ordered_pair_predicate(u) || member(set_b,f2(u))* disjoint(universal_set,first(u)) -> . % 299.97/300.34 99610[2:Res:22366.2,15721.1] ordered_pair_predicate(u) || member(set_a,f2(u))* disjoint(universal_set,first(u)) -> . % 299.97/300.34 99612[2:Res:22366.2,15819.1] ordered_pair_predicate(u) || member(infinity,f2(u))* disjoint(universal_set,first(u)) -> . % 299.97/300.34 99693[16:Res:22366.2,92502.1] ordered_pair_predicate(u) || member(v,f2(u))* equal(first(u),a) -> . % 299.97/300.34 99792[0:Res:22612.2,1238.0] ordered_pair_predicate(u) || member(v,f3(u))* disjoint(second(u),universal_set) -> . % 299.97/300.34 99795[16:Res:22612.2,98786.1] ordered_pair_predicate(u) || member(a,f3(u))* disjoint(set_b,second(u)) -> . % 299.97/300.34 99796[16:Res:22612.2,55636.1] ordered_pair_predicate(u) || member(a,f3(u))* disjoint(universal_set,second(u)) -> . % 299.97/300.34 99797[16:Res:22612.2,54995.0] ordered_pair_predicate(u) || member(a,f3(u))* disjoint(second(u),set_b) -> . % 299.97/300.34 99798[16:Res:22612.2,54989.0] ordered_pair_predicate(u) || member(a,f3(u))* disjoint(second(u),infinity) -> . % 299.97/300.34 99799[0:Res:22612.2,1197.0] ordered_pair_predicate(u) || member(a,f3(u))* disjoint(second(u),set_a) -> . % 299.97/300.34 99800[0:Res:22612.2,7326.0] ordered_pair_predicate(u) || member(universal_set,f3(u))* -> equal(sigma(second(u)),universal_set). % 299.97/300.34 99802[2:Res:22612.2,15679.1] ordered_pair_predicate(u) || member(set_b,f3(u))* disjoint(universal_set,second(u)) -> . % 299.97/300.34 99804[2:Res:22612.2,15721.1] ordered_pair_predicate(u) || member(set_a,f3(u))* disjoint(universal_set,second(u)) -> . % 299.97/300.34 99806[2:Res:22612.2,15819.1] ordered_pair_predicate(u) || member(infinity,f3(u))* disjoint(universal_set,second(u)) -> . % 299.97/300.34 99890[16:Res:22612.2,92502.1] ordered_pair_predicate(u) || member(v,f3(u))* equal(second(u),a) -> . % 299.97/300.34 100007[16:Res:59019.2,76.0] || subset(u,powerset(v)) -> equal(u,a) subset(f1(u,a),v)*. % 299.97/300.34 100008[16:Res:59019.2,1444.0] || subset(u,singleton_set(v))* -> equal(u,a) equal(f1(u,a),v). % 299.97/300.34 100028[16:Res:59019.2,25946.0] || subset(u,image(intersection(f1(u,a),v),w))* -> equal(u,a). % 299.97/300.34 100029[16:Res:59019.2,26103.0] || subset(u,image(intersection(v,f1(u,a)),w))* -> equal(u,a). % 299.97/300.34 100030[16:Res:59019.2,25950.0] || subset(u,image(restrict(f1(u,a),v),w))* -> equal(u,a). % 299.97/300.34 100032[16:Res:59019.2,25810.0] || subset(u,image(v,cross_product(f1(u,a),w)))* -> equal(u,a). % 299.97/300.34 100077[16:SpL:36.0,99092.0] || disjoint(set_b,union(u,v)) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 100177[16:Res:98305.0,55350.1] || member(set_b,u) -> member(v,sigma(u))* member(a,complement(singleton_set(v)))*. % 299.97/300.34 100178[16:Res:98305.0,55314.1] || member(infinity,u) -> member(v,sigma(u))* member(a,complement(singleton_set(v)))*. % 299.97/300.34 100179[0:Res:98305.0,1181.1] || member(set_a,u) -> member(v,sigma(u))* member(a,complement(singleton_set(v)))*. % 299.97/300.34 100234[16:Res:100124.1,98.0] || member(a,u) disjoint(u,complement(singleton_set(v)))* -> member(v,infinity). % 299.97/300.34 100235[16:Res:100124.1,68.0] || member(complement(singleton_set(u)),v)* -> member(u,infinity) member(a,sigma(v)). % 299.97/300.34 100303[16:Obv:100255.1] || subset(singleton_set(u),powerset(v))* -> equal(singleton_set(u),a) subset(u,v). % 299.97/300.34 100324[0:Res:100132.1,98.0] || member(a,u) disjoint(u,complement(singleton_set(v)))* -> member(v,set_a). % 299.97/300.34 100325[0:Res:100132.1,68.0] || member(complement(singleton_set(u)),v)* -> member(u,set_a) member(a,sigma(v)). % 299.97/300.34 100353[16:Res:100137.1,98.0] || member(a,u) disjoint(u,complement(singleton_set(v)))* -> member(v,set_b). % 299.97/300.34 100354[16:Res:100137.1,68.0] || member(complement(singleton_set(u)),v)* -> member(u,set_b) member(a,sigma(v)). % 299.97/300.34 100418[16:Res:83576.0,56166.0] || -> equal(f24(powerset(singleton_set(u))),a) equal(f24(f24(powerset(singleton_set(u)))),u)**. % 299.97/300.34 100453[16:SSi:100420.0,150.0] || -> equal(f26(powerset(singleton_set(u))),a) equal(f24(f26(powerset(singleton_set(u)))),u)**. % 299.97/300.34 100620[16:Res:59021.2,76.0] || subset(u,powerset(v)) -> equal(a,u) subset(f1(a,u),v)*. % 299.97/300.34 100621[16:Res:59021.2,1444.0] || subset(u,singleton_set(v))* -> equal(a,u) equal(f1(a,u),v). % 299.97/300.34 100641[16:Res:59021.2,25946.0] || subset(u,image(intersection(f1(a,u),v),w))* -> equal(a,u). % 299.97/300.34 100642[16:Res:59021.2,26103.0] || subset(u,image(intersection(v,f1(a,u)),w))* -> equal(a,u). % 299.97/300.34 100643[16:Res:59021.2,25950.0] || subset(u,image(restrict(f1(a,u),v),w))* -> equal(a,u). % 299.97/300.34 100645[16:Res:59021.2,25810.0] || subset(u,image(v,cross_product(f1(a,u),w)))* -> equal(a,u). % 299.97/300.34 101233[16:Res:100563.1,57709.0] || disjoint(set_a,intersection(u,powerset(a)))* -> equal(intersection(u,powerset(a)),a). % 299.97/300.34 101234[16:Res:100563.1,57678.0] || disjoint(set_a,intersection(powerset(a),u))* -> equal(intersection(powerset(a),u),a). % 299.97/300.34 101236[16:Res:100563.1,1239.1] || disjoint(set_a,complement(u))* member(v,powerset(a))* -> member(v,u)*. % 299.97/300.34 101260[16:SpR:36.0,101071.1] || disjoint(set_a,intersection(complement(u),complement(v)))* -> member(a,union(u,v)). % 299.97/300.34 101279[16:Res:101071.1,98.0] || disjoint(set_a,u) member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 101280[16:Res:101071.1,68.0] || disjoint(set_a,u) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 101504[16:Res:22366.2,101072.1] ordered_pair_predicate(u) || member(a,f2(u))* disjoint(set_a,first(u)) -> . % 299.97/300.34 101505[16:Res:22612.2,101072.1] ordered_pair_predicate(u) || member(a,f3(u))* disjoint(set_a,second(u)) -> . % 299.97/300.34 101720[16:Res:57867.1,76.0] || disjoint(complement(powerset(u)),v)* -> equal(v,a) subset(f24(v),u). % 299.97/300.34 101721[16:Res:57867.1,1444.0] || disjoint(complement(singleton_set(u)),v)* -> equal(v,a) equal(f24(v),u). % 299.97/300.34 101741[16:Res:57867.1,25946.0] || disjoint(complement(image(intersection(f24(u),v),w)),u)* -> equal(u,a). % 299.97/300.34 101742[16:Res:57867.1,26103.0] || disjoint(complement(image(intersection(u,f24(v)),w)),v)* -> equal(v,a). % 299.97/300.34 101743[16:Res:57867.1,25950.0] || disjoint(complement(image(restrict(f24(u),v),w)),u)* -> equal(u,a). % 299.97/300.34 101745[16:Res:57867.1,25810.0] || disjoint(complement(image(u,cross_product(f24(v),w))),v)* -> equal(v,a). % 299.97/300.34 102061[16:SpL:36.0,101285.0] || disjoint(set_a,union(u,v)) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 102427[16:Res:102160.1,57709.0] || disjoint(infinity,intersection(u,powerset(a)))* -> equal(intersection(u,powerset(a)),a). % 299.97/300.34 102428[16:Res:102160.1,57678.0] || disjoint(infinity,intersection(powerset(a),u))* -> equal(intersection(powerset(a),u),a). % 299.97/300.34 102430[16:Res:102160.1,1239.1] || disjoint(infinity,complement(u))* member(v,powerset(a))* -> member(v,u)*. % 299.97/300.34 102476[16:SpR:36.0,102358.1] || disjoint(infinity,intersection(complement(u),complement(v)))* -> member(a,union(u,v)). % 299.97/300.34 102496[16:Res:102358.1,98.0] || disjoint(infinity,u) member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 102497[16:Res:102358.1,68.0] || disjoint(infinity,u) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 102635[16:Res:22366.2,102359.1] ordered_pair_predicate(u) || member(a,f2(u))* disjoint(infinity,first(u)) -> . % 299.97/300.34 102636[16:Res:22612.2,102359.1] ordered_pair_predicate(u) || member(a,f3(u))* disjoint(infinity,second(u)) -> . % 299.97/300.34 102873[16:SpL:36.0,102502.0] || disjoint(infinity,union(u,v)) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 103124[0:Res:11550.1,14044.1] || subset(sigma(u),v)* member(w,u)* -> disjoint(w,complement(v))*. % 299.97/300.34 103132[16:Res:102157.1,14044.1] || disjoint(infinity,sigma(u))* member(v,u)* -> disjoint(v,powerset(a))*. % 299.97/300.34 103133[16:Res:100560.1,14044.1] || disjoint(set_a,sigma(u))* member(v,u)* -> disjoint(v,powerset(a))*. % 299.97/300.34 103134[16:Res:98042.1,14044.1] || disjoint(set_b,sigma(u))* member(v,u)* -> disjoint(v,powerset(a))*. % 299.97/300.34 103213[3:Res:26.1,88258.0] || member(singleton_set(infinity),second(u)) -> member(infinity,sigma(f7(singleton_set(infinity),u)))*. % 299.97/300.34 103214[3:Res:21.1,88258.0] || member(singleton_set(infinity),first(u)) -> member(infinity,sigma(f4(singleton_set(infinity),u)))*. % 299.97/300.34 103215[3:Res:67.1,88258.0] || member(singleton_set(infinity),sigma(u)) -> member(infinity,sigma(f16(singleton_set(infinity),u)))*. % 299.97/300.34 103244[3:SSi:103216.0,150.0,63.0,15957.0] || equal(non_ordered_pair(u,v),singleton_set(infinity)) -> member(infinity,sigma(ordered_pair(u,v)))*. % 299.97/300.34 103253[16:SpR:57402.0,88325.1] || disjoint(intersection(complement(u),universal_set),singleton_set(infinity))* -> member(infinity,union(u,a)). % 299.97/300.34 103254[16:SpR:57520.0,88325.1] || disjoint(intersection(universal_set,complement(u)),singleton_set(infinity))* -> member(infinity,union(a,u)). % 299.97/300.34 103265[3:Res:88325.1,70.0] || disjoint(u,singleton_set(infinity)) subset(complement(u),v)* -> member(infinity,v). % 299.97/300.34 103276[16:SpR:57402.0,88503.0] || -> member(a,complement(singleton_set(union(u,a))))* member(infinity,intersection(complement(u),universal_set)). % 299.97/300.34 103277[16:SpR:57520.0,88503.0] || -> member(a,complement(singleton_set(union(a,u))))* member(infinity,intersection(universal_set,complement(u))). % 299.97/300.34 103293[16:Res:88503.0,70.0] || subset(complement(singleton_set(complement(u))),v)* -> member(infinity,u) member(a,v). % 299.97/300.34 103325[16:Res:88615.0,70.0] || subset(complement(singleton_set(u)),v)* -> member(infinity,complement(u)) member(a,v). % 299.97/300.34 103445[0:Res:11550.1,14154.1] || subset(sigma(u),v)* member(w,u)* -> disjoint(complement(v),w)*. % 299.97/300.34 103453[16:Res:102157.1,14154.1] || disjoint(infinity,sigma(u))* member(v,u)* -> disjoint(powerset(a),v)*. % 299.97/300.34 103454[16:Res:100560.1,14154.1] || disjoint(set_a,sigma(u))* member(v,u)* -> disjoint(powerset(a),v)*. % 299.97/300.34 103455[16:Res:98042.1,14154.1] || disjoint(set_b,sigma(u))* member(v,u)* -> disjoint(powerset(a),v)*. % 299.97/300.34 103522[16:Res:92031.1,16184.0] || equal(complement(domain_of(intersection(cross_product(u,v),w))),a)** -> member(a,u). % 299.97/300.34 103523[16:Res:91681.1,16184.0] || equal(complement(domain_of(intersection(cross_product(u,v),w))),a)** -> member(infinity,u). % 299.97/300.34 103551[7:Res:26333.1,16184.0] || subset(universal_set,domain_of(intersection(cross_product(u,v),w)))* -> member(sigma(infinity),u). % 299.97/300.34 103561[16:Res:56369.1,16184.0] || subset(universal_set,domain_of(intersection(cross_product(u,v),w)))* -> member(singleton_set(a),u). % 299.97/300.34 103565[16:Res:56731.1,16184.0] || subset(universal_set,domain_of(intersection(cross_product(u,v),w)))* -> member(powerset(a),u). % 299.97/300.34 103764[16:Res:92031.1,16416.0] || equal(complement(domain_of(intersection(u,cross_product(v,w)))),a)** -> member(a,v). % 299.97/300.34 103765[16:Res:91681.1,16416.0] || equal(complement(domain_of(intersection(u,cross_product(v,w)))),a)** -> member(infinity,v). % 299.97/300.34 103793[7:Res:26333.1,16416.0] || subset(universal_set,domain_of(intersection(u,cross_product(v,w))))* -> member(sigma(infinity),v). % 299.97/300.34 103803[16:Res:56369.1,16416.0] || subset(universal_set,domain_of(intersection(u,cross_product(v,w))))* -> member(singleton_set(a),v). % 299.97/300.34 103807[16:Res:56731.1,16416.0] || subset(universal_set,domain_of(intersection(u,cross_product(v,w))))* -> member(powerset(a),v). % 299.97/300.34 104009[16:Res:92031.1,17439.0] || equal(complement(range_of(intersection(cross_product(u,v),w))),a)** -> member(a,v). % 299.97/300.34 104010[16:Res:91681.1,17439.0] || equal(complement(range_of(intersection(cross_product(u,v),w))),a)** -> member(infinity,v). % 299.97/300.34 104038[7:Res:26333.1,17439.0] || subset(universal_set,range_of(intersection(cross_product(u,v),w)))* -> member(sigma(infinity),v). % 299.97/300.34 104048[16:Res:56369.1,17439.0] || subset(universal_set,range_of(intersection(cross_product(u,v),w)))* -> member(singleton_set(a),v). % 299.97/300.34 104052[16:Res:56731.1,17439.0] || subset(universal_set,range_of(intersection(cross_product(u,v),w)))* -> member(powerset(a),v). % 299.97/300.34 104286[16:Res:92031.1,17546.0] || equal(complement(range_of(intersection(u,cross_product(v,w)))),a)** -> member(a,w). % 299.97/300.34 104287[16:Res:91681.1,17546.0] || equal(complement(range_of(intersection(u,cross_product(v,w)))),a)** -> member(infinity,w). % 299.97/300.34 104315[7:Res:26333.1,17546.0] || subset(universal_set,range_of(intersection(u,cross_product(v,w))))* -> member(sigma(infinity),w). % 299.97/300.34 104325[16:Res:56369.1,17546.0] || subset(universal_set,range_of(intersection(u,cross_product(v,w))))* -> member(singleton_set(a),w). % 299.97/300.34 104329[16:Res:56731.1,17546.0] || subset(universal_set,range_of(intersection(u,cross_product(v,w))))* -> member(powerset(a),w). % 299.97/300.34 104557[0:Res:18826.1,1238.0] little_set(u) || disjoint(union(v,w),universal_set)* -> member(u,complement(v))*. % 299.97/300.34 104568[2:Res:18826.1,15679.1] little_set(set_b) || disjoint(universal_set,union(u,v))* -> member(set_b,complement(u)). % 299.97/300.34 104570[2:Res:18826.1,15721.1] little_set(set_a) || disjoint(universal_set,union(u,v))* -> member(set_a,complement(u)). % 299.97/300.34 104654[16:Res:18826.1,92502.1] little_set(u) || equal(union(v,w),a)** -> member(u,complement(v))*. % 299.97/300.34 104711[0:MRR:104590.0,213.1] || -> member(f17(u,union(v,w)),complement(v))* subset(u,union(v,w)). % 299.97/300.34 104712[0:MRR:104575.0,5.0] || -> member(f1(union(u,v),universal_set),complement(u))* equal(union(u,v),universal_set). % 299.97/300.34 104901[0:Res:18827.1,1238.0] little_set(u) || disjoint(union(v,w),universal_set)* -> member(u,complement(w))*. % 299.97/300.34 104912[2:Res:18827.1,15679.1] little_set(set_b) || disjoint(universal_set,union(u,v))* -> member(set_b,complement(v)). % 299.97/300.34 104914[2:Res:18827.1,15721.1] little_set(set_a) || disjoint(universal_set,union(u,v))* -> member(set_a,complement(v)). % 299.97/300.34 104998[16:Res:18827.1,92502.1] little_set(u) || equal(union(v,w),a)** -> member(u,complement(w))*. % 299.97/300.34 105057[0:MRR:104934.0,213.1] || -> member(f17(u,union(v,w)),complement(w))* subset(u,union(v,w)). % 299.97/300.34 105058[0:MRR:104919.0,5.0] || -> member(f1(union(u,v),universal_set),complement(v))* equal(union(u,v),universal_set). % 299.97/300.34 105233[0:SpL:122.0,26698.0] || member(u,apply_to_two_arguments(cross_product(v,w),x,y))* -> member(u,sigma(w)). % 299.97/300.34 105239[16:Res:92031.1,26698.0] || equal(complement(apply(cross_product(u,v),w)),a)** -> member(a,sigma(v)). % 299.97/300.34 105240[16:Res:91681.1,26698.0] || equal(complement(apply(cross_product(u,v),w)),a)** -> member(infinity,sigma(v)). % 299.97/300.34 105268[7:Res:26333.1,26698.0] || subset(universal_set,apply(cross_product(u,v),w))* -> member(sigma(infinity),sigma(v)). % 299.97/300.34 105278[16:Res:56369.1,26698.0] || subset(universal_set,apply(cross_product(u,v),w))* -> member(singleton_set(a),sigma(v)). % 299.97/300.34 105282[16:Res:56731.1,26698.0] || subset(universal_set,apply(cross_product(u,v),w))* -> member(powerset(a),sigma(v)). % 299.97/300.34 1560[0:Res:120.1,1238.0] || member(u,apply(v,w)) disjoint(second(f28(u,v,w)),universal_set)* -> . % 299.97/300.34 630[0:Res:395.0,31.0] || -> subset(u,complement(intersection(v,w))) member(f17(u,complement(intersection(v,w))),v)*. % 299.97/300.34 631[0:Res:395.0,32.0] || -> subset(u,complement(intersection(v,w))) member(f17(u,complement(intersection(v,w))),w)*. % 299.97/300.34 632[0:Res:395.0,282.0] || -> subset(u,complement(restrict(v,w))) member(f17(u,complement(restrict(v,w))),v)*. % 299.97/300.34 652[0:Res:71.1,547.0] || -> subset(range_of(cross_product(u,v)),w) member(f17(range_of(cross_product(u,v)),w),v)*. % 299.97/300.34 667[0:Res:71.1,560.0] || -> subset(domain_of(cross_product(u,v)),w) member(f17(domain_of(cross_product(u,v)),w),u)*. % 299.97/300.34 962[0:Res:395.0,70.0] || subset(u,v) -> subset(w,complement(u)) member(f17(w,complement(u)),v)*. % 299.97/300.34 495[0:Res:38.1,282.0] || member(u,domain_of(restrict(v,w))) -> member(f8(u,restrict(v,w)),v)*. % 299.97/300.34 666[0:Res:99.1,560.0] || -> disjoint(domain_of(cross_product(u,v)),w) member(f23(domain_of(cross_product(u,v)),w),u)*. % 299.97/300.34 671[0:Res:100.1,560.0] || -> disjoint(u,domain_of(cross_product(v,w))) member(f23(u,domain_of(cross_product(v,w))),v)*. % 299.97/300.34 651[0:Res:99.1,547.0] || -> disjoint(range_of(cross_product(u,v)),w) member(f23(range_of(cross_product(u,v)),w),v)*. % 299.97/300.34 656[0:Res:100.1,547.0] || -> disjoint(u,range_of(cross_product(v,w))) member(f23(u,range_of(cross_product(v,w))),w)*. % 299.97/300.34 1022[0:Res:46.1,282.0] || member(u,converse(restrict(v,w)))* -> member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.34 457[0:Res:66.1,282.0] || member(u,sigma(restrict(v,w))) -> member(f16(u,restrict(v,w)),v)*. % 299.97/300.34 428[0:Res:107.1,282.0] || member(u,range_of(restrict(v,w))) -> member(f27(u,restrict(v,w)),v)*. % 299.97/300.34 1567[0:Res:120.1,1197.0] || member(a,apply(u,v)) disjoint(second(f28(a,u,v)),set_a)* -> . % 299.97/300.34 2685[0:SpL:36.0,2236.1] || disjoint(intersection(complement(u),complement(v)),universal_set)* disjoint(union(u,v),set_b) -> . % 299.97/300.34 2687[0:SpL:36.0,2221.1] || disjoint(intersection(complement(u),complement(v)),universal_set)* disjoint(union(u,v),set_a) -> . % 299.97/300.34 2689[2:SpL:36.0,2215.1] || disjoint(intersection(complement(u),complement(v)),universal_set)* disjoint(union(u,v),infinity) -> . % 299.97/300.34 2691[4:SpL:36.0,2200.1] || disjoint(intersection(complement(u),complement(v)),universal_set)* disjoint(union(u,v),universal_set) -> . % 299.97/300.34 3546[0:Res:93.1,1444.0] || member(u,image(v,singleton_set(w)))* -> equal(f22(u,v,singleton_set(w)),w). % 299.97/300.34 3570[0:Res:118.1,1444.0] || member(u,apply(singleton_set(v),w))* -> equal(f28(u,singleton_set(v),w),v). % 299.97/300.34 3655[0:Res:33.2,1238.0] || member(u,v)* member(u,w)* disjoint(intersection(w,v),universal_set)* -> . % 299.97/300.34 3660[0:Res:33.2,1197.0] || member(a,u) member(a,v) disjoint(intersection(v,u),set_a)* -> . % 299.97/300.34 5389[0:Res:4258.0,70.0] || subset(u,v) -> equal(complement(u),universal_set) member(f1(complement(u),universal_set),v)*. % 299.97/300.34 5401[0:Res:4258.0,31.0] || -> equal(complement(intersection(u,v)),universal_set) member(f1(complement(intersection(u,v)),universal_set),u)*. % 299.97/300.34 5402[0:Res:4258.0,32.0] || -> equal(complement(intersection(u,v)),universal_set) member(f1(complement(intersection(u,v)),universal_set),v)*. % 299.97/300.34 5403[0:Res:4258.0,282.0] || -> equal(complement(restrict(u,v)),universal_set) member(f1(complement(restrict(u,v)),universal_set),u)*. % 299.97/300.34 7401[0:Res:120.1,7326.0] || member(universal_set,apply(u,v)) -> equal(sigma(second(f28(universal_set,u,v))),universal_set)**. % 299.97/300.34 7402[0:Res:33.2,7326.0] || member(universal_set,u) member(universal_set,v) -> equal(sigma(intersection(v,u)),universal_set)**. % 299.97/300.34 7940[0:Res:71.1,274.0] || -> subset(restrict(u,v),w) member(f17(restrict(u,v),w),cross_product(v,universal_set))*. % 299.97/300.34 7941[0:Res:99.1,274.0] || -> disjoint(restrict(u,v),w) member(f23(restrict(u,v),w),cross_product(v,universal_set))*. % 299.97/300.34 7950[0:Res:100.1,274.0] || -> disjoint(u,restrict(v,w)) member(f23(u,restrict(v,w)),cross_product(w,universal_set))*. % 299.97/300.34 10236[0:Res:960.2,34.1] || member(u,infinity) subset(infinity,complement(v))* member(successor(u),v)* -> . % 299.97/300.34 10239[0:Res:960.2,31.0] || member(u,infinity) subset(infinity,intersection(v,w))* -> member(successor(u),v)*. % 299.97/300.34 10240[0:Res:960.2,32.0] || member(u,infinity) subset(infinity,intersection(v,w))* -> member(successor(u),w)*. % 299.97/300.34 10242[0:Res:960.2,282.0] || member(u,infinity) subset(infinity,restrict(v,w))* -> member(successor(u),v)*. % 299.97/300.34 10790[2:Rew:5392.0,3254.1] little_set(complement(estin)) || equal(universal_set,u) -> member(a,sigma(non_ordered_pair(v,u)))*. % 299.97/300.34 10793[2:Rew:5392.0,3287.1] little_set(complement(estin)) || equal(universal_set,u) -> member(a,sigma(non_ordered_pair(u,v)))*. % 299.97/300.34 10972[6:EmS:10806.0,1545.1] || equal(first(f22(u,v,w)),universal_set)** member(u,image(v,w)) -> . % 299.97/300.34 11094[6:EmS:10805.0,4238.2] || equal(universal_set,u)* equal(u,v)* member(v,compose(w,x))* -> . % 299.97/300.34 11233[0:Res:278.1,76.0] || -> subset(intersection(u,powerset(v)),w) subset(f17(intersection(u,powerset(v)),w),v)*. % 299.97/300.34 11234[0:Res:278.1,1444.0] || -> subset(intersection(u,singleton_set(v)),w) equal(f17(intersection(u,singleton_set(v)),w),v)**. % 299.97/300.34 11291[0:Res:286.1,76.0] || -> subset(intersection(powerset(u),v),w) subset(f17(intersection(powerset(u),v),w),u)*. % 299.97/300.34 11292[0:Res:286.1,1444.0] || -> subset(intersection(singleton_set(u),v),w) equal(f17(intersection(singleton_set(u),v),w),u)**. % 299.97/300.34 11343[0:Res:955.2,34.1] || subset(u,complement(v)) member(f17(u,w),v)* -> subset(u,w). % 299.97/300.34 11347[0:Res:955.2,31.0] || subset(u,intersection(v,w))* -> subset(u,x) member(f17(u,x),v)*. % 299.97/300.34 11348[0:Res:955.2,32.0] || subset(u,intersection(v,w))* -> subset(u,x) member(f17(u,x),w)*. % 299.97/300.34 11350[0:Res:955.2,282.0] || subset(u,restrict(v,w))* -> subset(u,x) member(f17(u,x),v)*. % 299.97/300.34 11425[0:Res:961.2,34.1] || subset(u,complement(v)) member(f23(w,u),v)* -> disjoint(w,u). % 299.97/300.34 11429[0:Res:961.2,31.0] || subset(u,intersection(v,w))* -> disjoint(x,u) member(f23(x,u),v)*. % 299.97/300.34 11430[0:Res:961.2,32.0] || subset(u,intersection(v,w))* -> disjoint(x,u) member(f23(x,u),w)*. % 299.97/300.34 11432[0:Res:961.2,282.0] || subset(u,restrict(v,w))* -> disjoint(x,u) member(f23(x,u),v)*. % 299.97/300.34 11538[0:Res:954.2,34.1] || subset(u,complement(v)) member(f23(u,w),v)* -> disjoint(u,w). % 299.97/300.34 11542[0:Res:954.2,31.0] || subset(u,intersection(v,w))* -> disjoint(u,x) member(f23(u,x),v)*. % 299.97/300.34 11543[0:Res:954.2,32.0] || subset(u,intersection(v,w))* -> disjoint(u,x) member(f23(u,x),w)*. % 299.97/300.34 11545[0:Res:954.2,282.0] || subset(u,restrict(v,w))* -> disjoint(u,x) member(f23(u,x),v)*. % 299.97/300.34 11623[0:Res:285.1,76.0] || -> disjoint(intersection(powerset(u),v),w) subset(f23(intersection(powerset(u),v),w),u)*. % 299.97/300.34 11624[0:Res:285.1,1444.0] || -> disjoint(intersection(singleton_set(u),v),w) equal(f23(intersection(singleton_set(u),v),w),u)**. % 299.97/300.34 11717[0:Res:289.1,76.0] || -> disjoint(u,intersection(powerset(v),w)) subset(f23(u,intersection(powerset(v),w)),v)*. % 299.97/300.34 11718[0:Res:289.1,1444.0] || -> disjoint(u,intersection(singleton_set(v),w)) equal(f23(u,intersection(singleton_set(v),w)),v)**. % 299.97/300.34 11815[0:Res:277.1,76.0] || -> disjoint(intersection(u,powerset(v)),w) subset(f23(intersection(u,powerset(v)),w),v)*. % 299.97/300.34 11816[0:Res:277.1,1444.0] || -> disjoint(intersection(u,singleton_set(v)),w) equal(f23(intersection(u,singleton_set(v)),w),v)**. % 299.97/300.34 11976[0:Res:281.1,76.0] || -> disjoint(u,intersection(v,powerset(w))) subset(f23(u,intersection(v,powerset(w))),w)*. % 299.97/300.34 11977[0:Res:281.1,1444.0] || -> disjoint(u,intersection(v,singleton_set(w))) equal(f23(u,intersection(v,singleton_set(w))),w)**. % 299.97/300.34 12184[6:Res:286.1,10857.1] || equal(successor(f17(intersection(infinity,u),v)),universal_set)** -> subset(intersection(infinity,u),v). % 299.97/300.34 12186[6:Res:285.1,10857.1] || equal(successor(f23(intersection(infinity,u),v)),universal_set)** -> disjoint(intersection(infinity,u),v). % 299.97/300.34 12197[6:Res:954.2,10857.1] || subset(u,infinity) equal(successor(f23(u,v)),universal_set)** -> disjoint(u,v). % 299.97/300.34 12198[6:Res:289.1,10857.1] || equal(successor(f23(u,intersection(infinity,v))),universal_set)** -> disjoint(u,intersection(infinity,v)). % 299.97/300.34 12199[6:Res:961.2,10857.1] || subset(u,infinity) equal(successor(f23(v,u)),universal_set)** -> disjoint(v,u). % 299.97/300.34 12200[6:Res:277.1,10857.1] || equal(successor(f23(intersection(u,infinity),v)),universal_set)** -> disjoint(intersection(u,infinity),v). % 299.97/300.34 12202[6:Res:955.2,10857.1] || subset(u,infinity) equal(successor(f17(u,v)),universal_set)** -> subset(u,v). % 299.97/300.34 12203[6:Res:278.1,10857.1] || equal(successor(f17(intersection(u,infinity),v)),universal_set)** -> subset(intersection(u,infinity),v). % 299.97/300.34 12207[6:Res:118.1,10857.1] || member(u,apply(infinity,v)) equal(successor(f28(u,infinity,v)),universal_set)** -> . % 299.97/300.34 12213[6:Res:93.1,10857.1] || member(u,image(v,infinity)) equal(successor(f22(u,v,infinity)),universal_set)** -> . % 299.97/300.34 12216[6:Res:281.1,10857.1] || equal(successor(f23(u,intersection(v,infinity))),universal_set)** -> disjoint(u,intersection(v,infinity)). % 299.97/300.34 12217[6:Res:46.1,10857.1] || member(u,converse(infinity)) equal(successor(ordered_pair(second(u),first(u))),universal_set)** -> . % 299.97/300.34 12289[0:MRR:12272.0,197.1] || equal(successor(u),v)* member(u,infinity)* disjoint(singleton_set(v),infinity)* -> . % 299.97/300.34 12367[0:MRR:12358.0,487.1] || member(u,domain_of(complement(complement(v)))) -> member(f8(u,complement(complement(v))),v)*. % 299.97/300.34 12419[0:MRR:12410.0,449.1] || member(u,sigma(complement(complement(v)))) -> member(f16(u,complement(complement(v))),v)*. % 299.97/300.34 12468[0:MRR:12459.0,420.1] || member(u,range_of(complement(complement(v)))) -> member(f27(u,complement(complement(v))),v)*. % 299.97/300.34 12902[0:Res:956.2,76.0] || subset(u,powerset(v)) -> single_valued_set(u) subset(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.34 12903[0:Res:956.2,1444.0] || subset(u,singleton_set(v))* -> single_valued_set(u) equal(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.34 13017[0:Res:957.2,76.0] || subset(u,powerset(v)) -> single_valued_set(u) subset(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.34 13018[0:Res:957.2,1444.0] || subset(u,singleton_set(v))* -> single_valued_set(u) equal(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.34 13036[6:SpL:25.1,11587.0] || member(u,second(v)) equal(singleton_set(f6(u,v)),f1(v,universal_set))** -> . % 299.97/300.34 13037[6:SpL:20.1,11587.0] || member(u,first(v)) equal(singleton_set(f4(u,v)),f1(v,universal_set))** -> . % 299.97/300.34 13039[6:SpL:57.1,11587.0] || member(u,flip_range_of(v)) equal(singleton_set(f12(u,v)),f1(u,universal_set))** -> . % 299.97/300.34 13040[6:SpL:51.1,11587.0] || member(u,rotate_right(v)) equal(singleton_set(f9(u,v)),f1(u,universal_set))** -> . % 299.97/300.34 13084[0:Res:11437.1,1240.2] || subset(powerset(u),v)* subset(w,u)* member(w,complement(v))* -> . % 299.97/300.34 13181[0:Res:1103.2,1238.0] little_set(u) || equal(u,singleton_set(v))* disjoint(ordered_pair(v,w),universal_set)* -> . % 299.97/300.34 13210[0:MRR:13194.0,213.1] || equal(f17(u,ordered_pair(v,w)),singleton_set(v))** -> subset(u,ordered_pair(v,w)). % 299.97/300.34 13230[0:SpL:36.0,10964.0] || member(u,complement(union(v,w))) -> member(u,intersection(complement(v),complement(w)))*. % 299.97/300.34 13248[0:Res:4258.0,10964.0] || -> equal(complement(complement(complement(u))),universal_set) member(f1(complement(complement(complement(u))),universal_set),u)*. % 299.97/300.34 13252[0:Res:954.2,10964.0] || subset(u,complement(complement(v)))* -> disjoint(u,w) member(f23(u,w),v)*. % 299.97/300.34 13254[0:Res:961.2,10964.0] || subset(u,complement(complement(v)))* -> disjoint(w,u) member(f23(w,u),v)*. % 299.97/300.34 13256[0:Res:395.0,10964.0] || -> subset(u,complement(complement(complement(v)))) member(f17(u,complement(complement(complement(v)))),v)*. % 299.97/300.34 13257[0:Res:955.2,10964.0] || subset(u,complement(complement(v)))* -> subset(u,w) member(f17(u,w),v)*. % 299.97/300.34 13267[0:Res:960.2,10964.0] || member(u,infinity) subset(infinity,complement(complement(v)))* -> member(successor(u),v)*. % 299.97/300.34 13272[0:Res:46.1,10964.0] || member(u,converse(complement(complement(v)))) -> member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.34 13870[0:MRR:13840.0,213.1] || subset(f17(u,v),w)* disjoint(powerset(w),u) -> subset(u,v). % 299.97/300.34 13871[0:MRR:13841.0,213.1] || equal(f17(u,v),w)* disjoint(singleton_set(w),u)* -> subset(u,v). % 299.97/300.34 14052[0:MRR:14015.0,203.1] || subset(f23(u,v),w)* disjoint(powerset(w),v) -> disjoint(u,v). % 299.97/300.34 14053[0:MRR:14016.0,203.1] || equal(f23(u,v),w)* disjoint(singleton_set(w),v)* -> disjoint(u,v). % 299.97/300.34 14161[0:MRR:14123.0,203.1] || subset(f23(u,v),w)* disjoint(powerset(w),u) -> disjoint(u,v). % 299.97/300.34 14162[0:MRR:14124.0,203.1] || equal(f23(u,v),w)* disjoint(singleton_set(w),u)* -> disjoint(u,v). % 299.97/300.34 14492[2:SpL:36.0,14076.1] || disjoint(intersection(complement(u),complement(v)),infinity)* disjoint(union(u,v),universal_set) -> . % 299.97/300.34 14521[2:SpL:36.0,14080.1] || disjoint(intersection(complement(u),complement(v)),infinity)* disjoint(union(u,v),infinity) -> . % 299.97/300.34 14536[0:SpL:36.0,14094.1] || disjoint(intersection(complement(u),complement(v)),set_a)* disjoint(union(u,v),universal_set) -> . % 299.97/300.34 14570[0:SSi:14554.0,371.0] || disjoint(complement(u),v) -> member(ordered_pair(f19(v),f21(v)),u)* single_valued_set(v). % 299.97/300.34 14594[0:SpL:36.0,14098.1] || disjoint(intersection(complement(u),complement(v)),set_a)* disjoint(union(u,v),set_a) -> . % 299.97/300.34 14635[0:SSi:14619.0,371.0] || disjoint(complement(u),v) -> member(ordered_pair(f19(v),f20(v)),u)* single_valued_set(v). % 299.97/300.34 14643[0:SpL:36.0,14110.1] || disjoint(intersection(complement(u),complement(v)),set_b)* disjoint(union(u,v),universal_set) -> . % 299.97/300.34 14659[0:SpL:36.0,14114.1] || disjoint(intersection(complement(u),complement(v)),set_b)* disjoint(union(u,v),set_b) -> . % 299.97/300.34 15232[0:Rew:39.1,15205.2] || member(u,domain_of(v))* subset(v,cross_product(w,x))* -> member(u,w)*. % 299.97/300.34 15508[0:Rew:108.1,15482.2] || member(u,range_of(v))* subset(v,cross_product(w,x))* -> member(u,x)*. % 299.97/300.34 15764[2:Res:13860.1,948.1] || disjoint(universal_set,f4(u,v))* member(u,first(v)) -> member(u,w)*. % 299.97/300.34 15873[2:Res:120.1,15679.1] || member(set_b,apply(u,v)) disjoint(universal_set,second(f28(set_b,u,v)))* -> . % 299.97/300.34 15874[2:Res:33.2,15679.1] || member(set_b,u) member(set_b,v) disjoint(universal_set,intersection(v,u))* -> . % 299.97/300.34 15879[2:Res:1103.2,15679.1] little_set(set_b) || equal(singleton_set(u),set_b) disjoint(universal_set,ordered_pair(u,v))* -> . % 299.97/300.34 15881[2:Res:13860.1,947.1] || disjoint(universal_set,f7(u,v))* member(u,second(v)) -> member(u,w)*. % 299.97/300.34 15898[2:Res:120.1,15721.1] || member(set_a,apply(u,v)) disjoint(universal_set,second(f28(set_a,u,v)))* -> . % 299.97/300.34 15899[2:Res:33.2,15721.1] || member(set_a,u) member(set_a,v) disjoint(universal_set,intersection(v,u))* -> . % 299.97/300.34 15904[2:Res:1103.2,15721.1] little_set(set_a) || equal(singleton_set(u),set_a) disjoint(universal_set,ordered_pair(u,v))* -> . % 299.97/300.34 15926[2:Res:120.1,15819.1] || member(infinity,apply(u,v)) disjoint(universal_set,second(f28(infinity,u,v)))* -> . % 299.97/300.34 15927[2:Res:33.2,15819.1] || member(infinity,u) member(infinity,v) disjoint(universal_set,intersection(v,u))* -> . % 299.97/300.34 15949[2:Res:13860.1,946.1] || disjoint(universal_set,f16(u,v))* member(u,sigma(v)) -> member(u,w)*. % 299.97/300.34 16091[3:SoR:6199.0,16011.1] || member(u,v) equal(first(u),infinity) -> member(first(u),domain_of(v))*. % 299.97/300.34 16095[3:SoR:6200.0,16011.1] || member(u,v) equal(second(u),infinity) -> member(second(u),range_of(v))*. % 299.97/300.34 16991[0:Res:13975.1,1239.1] || member(complement(u),v)* member(w,complement(sigma(v)))* -> member(w,u)*. % 299.97/300.34 17031[0:Res:4258.0,15955.0] || -> equal(complement(sigma(powerset(u))),universal_set) member(f1(complement(sigma(powerset(u))),universal_set),u)*. % 299.97/300.34 17041[0:Res:954.2,15955.0] || subset(u,sigma(powerset(v)))* -> disjoint(u,w) member(f23(u,w),v)*. % 299.97/300.34 17043[0:Res:961.2,15955.0] || subset(u,sigma(powerset(v)))* -> disjoint(w,u) member(f23(w,u),v)*. % 299.97/300.34 17045[0:Res:395.0,15955.0] || -> subset(u,complement(sigma(powerset(v)))) member(f17(u,complement(sigma(powerset(v)))),v)*. % 299.97/300.34 17046[0:Res:955.2,15955.0] || subset(u,sigma(powerset(v)))* -> subset(u,w) member(f17(u,w),v)*. % 299.97/300.34 17048[0:Res:38.1,15955.0] || member(u,domain_of(sigma(powerset(v)))) -> member(f8(u,sigma(powerset(v))),v)*. % 299.97/300.34 17050[0:Res:66.1,15955.0] || member(u,sigma(sigma(powerset(v)))) -> member(f16(u,sigma(powerset(v))),v)*. % 299.97/300.34 17051[0:Res:107.1,15955.0] || member(u,range_of(sigma(powerset(v)))) -> member(f27(u,sigma(powerset(v))),v)*. % 299.97/300.34 17059[0:Res:960.2,15955.0] || member(u,infinity) subset(infinity,sigma(powerset(v)))* -> member(successor(u),v)*. % 299.97/300.34 17070[0:Res:46.1,15955.0] || member(u,converse(sigma(powerset(v)))) -> member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.34 17087[0:Res:1151.2,15955.0] || member(u,powerset(v)) -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.34 17088[0:Res:1152.2,15955.0] || member(u,powerset(v)) -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.34 17176[0:Res:14040.1,1239.1] || disjoint(u,complement(v))* member(w,intersection(u,x))* -> member(w,v)*. % 299.97/300.34 17271[0:Res:14043.1,1239.1] || disjoint(u,complement(v))* member(w,intersection(x,u))* -> member(w,v)*. % 299.97/300.34 17369[0:Res:17151.1,1239.1] || disjoint(u,complement(v))* member(w,restrict(u,x))* -> member(w,v)*. % 299.97/300.34 18184[2:Res:4115.1,17597.0] ordered_pair_predicate(u) || -> member(u,converse(complement(image(ordered_pair(second(u),first(u)),v))))*. % 299.97/300.34 18240[3:MRR:18237.0,92.1] || member(u,image(v,w)) -> ordered_pair_predicate(ordered_pair(u,first(f22(u,v,w))))*. % 299.97/300.34 18241[3:MRR:18232.0,117.1] || member(u,apply(v,w)) -> ordered_pair_predicate(ordered_pair(second(f28(u,v,w)),w))*. % 299.97/300.34 18532[7:SpL:36.0,18456.1] || disjoint(intersection(complement(u),complement(v)),f25)* disjoint(union(u,v),universal_set) -> . % 299.97/300.34 19557[3:Res:546.1,6160.0] || member(u,domain_of(cross_product(v,w))) -> ordered_pair_predicate(second(f8(u,cross_product(v,w))))*. % 299.97/300.34 19562[0:Res:546.1,4.0] || member(u,domain_of(cross_product(v,w))) -> little_set(second(f8(u,cross_product(v,w))))*. % 299.97/300.34 19648[0:Res:1161.2,1238.0] || member(u,domain_of(v))* member(v,w)* disjoint(sigma(w),universal_set)* -> . % 299.97/300.34 19753[0:Obv:19746.0] || member(u,v) member(w,domain_of(u))* disjoint(sigma(v),u)* -> . % 299.97/300.34 20559[0:Res:1160.2,1238.0] || member(u,sigma(v))* member(v,w)* disjoint(sigma(w),universal_set)* -> . % 299.97/300.34 20567[0:Obv:20565.0] || member(u,v) member(w,sigma(u))* disjoint(sigma(v),u)* -> . % 299.97/300.34 20568[0:Obv:20566.0] || member(u,v)* member(w,sigma(u))* -> member(w,sigma(sigma(v)))*. % 299.97/300.34 20611[3:SSi:20602.0,63.0,15957.0] || equal(non_ordered_pair(u,v),infinity) disjoint(ordered_pair(u,v),ordered_pair(u,v))* -> . % 299.97/300.34 20642[3:Res:545.1,6160.0] || member(u,sigma(cross_product(v,w))) -> ordered_pair_predicate(second(f16(u,cross_product(v,w))))*. % 299.97/300.34 20647[0:Res:545.1,4.0] || member(u,sigma(cross_product(v,w))) -> little_set(second(f16(u,cross_product(v,w))))*. % 299.97/300.34 20750[3:Res:558.1,6160.0] || member(u,sigma(cross_product(v,w))) -> ordered_pair_predicate(first(f16(u,cross_product(v,w))))*. % 299.97/300.34 20755[0:Res:558.1,4.0] || member(u,sigma(cross_product(v,w))) -> little_set(first(f16(u,cross_product(v,w))))*. % 299.97/300.34 20847[0:Res:1159.2,1238.0] || member(u,range_of(v))* member(v,w)* disjoint(sigma(w),universal_set)* -> . % 299.97/300.34 20854[0:Obv:20853.0] || member(u,v) member(w,range_of(u))* disjoint(sigma(v),u)* -> . % 299.97/300.34 20885[3:Res:557.1,6160.0] || member(u,range_of(cross_product(v,w))) -> ordered_pair_predicate(first(f27(u,cross_product(v,w))))*. % 299.97/300.34 20890[0:Res:557.1,4.0] || member(u,range_of(cross_product(v,w))) -> little_set(first(f27(u,cross_product(v,w))))*. % 299.97/300.34 20950[2:Res:965.2,20934.0] || member(u,domain_of(v)) subset(v,range_of(cross_product(f8(u,v),w)))* -> . % 299.97/300.34 20951[2:Res:964.2,20934.0] || member(u,sigma(v)) subset(v,range_of(cross_product(f16(u,v),w)))* -> . % 299.97/300.34 20952[2:Res:963.2,20934.0] || member(u,range_of(v)) subset(v,range_of(cross_product(f27(u,v),w)))* -> . % 299.97/300.34 21746[8:SpL:36.0,21552.1] || disjoint(intersection(complement(u),complement(v)),infinity)* disjoint(universal_set,union(u,v)) -> . % 299.97/300.34 22183[8:SpL:36.0,22131.1] || disjoint(universal_set,intersection(complement(u),complement(v)))* disjoint(union(u,v),universal_set) -> . % 299.97/300.34 22204[8:SpL:36.0,22135.1] || disjoint(universal_set,intersection(complement(u),complement(v)))* disjoint(universal_set,union(u,v)) -> . % 299.97/300.34 22214[8:SpL:36.0,22136.1] || disjoint(universal_set,intersection(complement(u),complement(v)))* disjoint(union(u,v),infinity) -> . % 299.97/300.34 22798[0:Res:3821.1,1238.0] || disjoint(u,universal_set) -> equal(u,powerset(v)) subset(f1(u,powerset(v)),v)*. % 299.97/300.34 22893[0:Res:3839.1,1238.0] || disjoint(u,universal_set) -> equal(powerset(v),u) subset(f1(powerset(v),u),v)*. % 299.97/300.34 22984[0:Res:1339.2,1238.0] || member(u,image(v,w))* subset(w,x)* disjoint(x,universal_set) -> . % 299.97/300.34 23076[0:Res:1274.2,1238.0] || member(u,apply(v,w))* subset(v,x)* disjoint(x,universal_set) -> . % 299.97/300.34 23963[0:Res:46.1,1227.1] || member(u,converse(v))* member(u,converse(w))* disjoint(v,w)* -> . % 299.97/300.34 23967[3:MRR:23962.0,6160.1] || member(u,converse(v))* disjoint(w,v)* -> member(u,converse(complement(w)))*. % 299.97/300.34 25382[0:Res:1544.2,1238.0] || member(u,image(v,w))* subset(v,x)* disjoint(x,universal_set) -> . % 299.97/300.34 25498[0:Obv:25495.0] || subset(u,v)* member(w,apply(u,x))* disjoint(v,u) -> . % 299.97/300.34 25632[0:Obv:25628.0] || subset(u,v)* member(w,image(x,u))* disjoint(v,u) -> . % 299.97/300.34 25835[2:Res:956.2,25810.0] || subset(u,image(v,cross_product(ordered_pair(f19(u),f21(u)),w)))* -> single_valued_set(u). % 299.97/300.34 25836[2:Res:957.2,25810.0] || subset(u,image(v,cross_product(ordered_pair(f19(u),f20(u)),w)))* -> single_valued_set(u). % 299.97/300.34 25972[2:Res:956.2,25946.0] || subset(u,image(intersection(ordered_pair(f19(u),f21(u)),v),w))* -> single_valued_set(u). % 299.97/300.34 25973[2:Res:957.2,25946.0] || subset(u,image(intersection(ordered_pair(f19(u),f20(u)),v),w))* -> single_valued_set(u). % 299.97/300.34 26004[2:Res:956.2,25950.0] || subset(u,image(restrict(ordered_pair(f19(u),f21(u)),v),w))* -> single_valued_set(u). % 299.97/300.34 26005[2:Res:957.2,25950.0] || subset(u,image(restrict(ordered_pair(f19(u),f20(u)),v),w))* -> single_valued_set(u). % 299.97/300.34 26202[2:Res:956.2,26103.0] || subset(u,image(intersection(v,ordered_pair(f19(u),f21(u))),w))* -> single_valued_set(u). % 299.97/300.34 26203[2:Res:957.2,26103.0] || subset(u,image(intersection(v,ordered_pair(f19(u),f20(u))),w))* -> single_valued_set(u). % 299.97/300.34 26407[7:Res:26333.1,8.0] || subset(universal_set,non_ordered_pair(u,v))* -> equal(sigma(infinity),v) equal(sigma(infinity),u). % 299.97/300.34 26426[7:Res:26333.1,644.1] || subset(universal_set,second(f8(sigma(infinity),u)))* member(sigma(infinity),domain_of(u)) -> . % 299.97/300.34 26866[0:Obv:26863.0] || subset(u,v)* member(w,image(u,x))* disjoint(v,u) -> . % 299.97/300.34 26962[7:Res:26830.1,98.0] || disjoint(universal_set,complement(u))* member(sigma(infinity),v)* disjoint(v,u)* -> . % 299.97/300.34 26963[7:Res:26830.1,68.0] || disjoint(universal_set,complement(u))* member(u,v)* -> member(sigma(infinity),sigma(v))*. % 299.97/300.34 26978[7:Res:26830.1,6176.0] || disjoint(universal_set,complement(converse(u)))* -> ordered_pair_predicate(ordered_pair(second(sigma(infinity)),first(sigma(infinity))))*. % 299.97/300.34 27107[7:Res:26831.1,98.0] || disjoint(complement(u),universal_set)* member(sigma(infinity),v)* disjoint(v,u)* -> . % 299.97/300.34 27108[7:Res:26831.1,68.0] || disjoint(complement(u),universal_set)* member(u,v)* -> member(sigma(infinity),sigma(v))*. % 299.97/300.34 27123[7:Res:26831.1,6176.0] || disjoint(complement(converse(u)),universal_set)* -> ordered_pair_predicate(ordered_pair(second(sigma(infinity)),first(sigma(infinity))))*. % 299.97/300.34 30988[0:Obv:30939.0] || -> equal(f23(non_ordered_pair(u,v),w),u)** disjoint(non_ordered_pair(u,v),w) little_set(v). % 299.97/300.34 30989[3:Obv:30942.0] || -> equal(f23(non_ordered_pair(u,v),w),u)** disjoint(non_ordered_pair(u,v),w) ordered_pair_predicate(v). % 299.97/300.34 30990[0:Obv:30959.0] || -> equal(f23(non_ordered_pair(u,v),w),v)** disjoint(non_ordered_pair(u,v),w) little_set(u). % 299.97/300.34 30991[3:Obv:30962.0] || -> equal(f23(non_ordered_pair(u,v),w),v)** disjoint(non_ordered_pair(u,v),w) ordered_pair_predicate(u). % 299.97/300.34 31125[0:Obv:31072.0] || -> equal(f23(u,non_ordered_pair(v,w)),v)** disjoint(u,non_ordered_pair(v,w)) little_set(w). % 299.97/300.34 31126[3:Obv:31075.0] || -> equal(f23(u,non_ordered_pair(v,w)),v)** disjoint(u,non_ordered_pair(v,w)) ordered_pair_predicate(w). % 299.97/300.34 31127[0:Obv:31094.0] || -> equal(f23(u,non_ordered_pair(v,w)),w)** disjoint(u,non_ordered_pair(v,w)) little_set(v). % 299.97/300.34 31128[3:Obv:31097.0] || -> equal(f23(u,non_ordered_pair(v,w)),w)** disjoint(u,non_ordered_pair(v,w)) ordered_pair_predicate(v). % 299.97/300.34 31257[0:Obv:31222.0] || -> equal(f17(non_ordered_pair(u,v),w),u)** subset(non_ordered_pair(u,v),w) little_set(v). % 299.97/300.34 31258[3:Obv:31224.0] || -> equal(f17(non_ordered_pair(u,v),w),u)** subset(non_ordered_pair(u,v),w) ordered_pair_predicate(v). % 299.97/300.34 31259[0:Obv:31234.0] || -> equal(f17(non_ordered_pair(u,v),w),v)** subset(non_ordered_pair(u,v),w) little_set(u). % 299.97/300.34 31260[3:Obv:31236.0] || -> equal(f17(non_ordered_pair(u,v),w),v)** subset(non_ordered_pair(u,v),w) ordered_pair_predicate(u). % 299.97/300.34 33381[7:Res:33376.1,98.0] || member(universal_set,powerset(u))* member(sigma(infinity),v)* disjoint(v,u)* -> . % 299.97/300.34 33382[7:Res:33376.1,68.0] || member(universal_set,powerset(u))* member(u,v)* -> member(sigma(infinity),sigma(v))*. % 299.97/300.34 33397[7:Res:33376.1,6176.0] || member(universal_set,powerset(converse(u)))* -> ordered_pair_predicate(ordered_pair(second(sigma(infinity)),first(sigma(infinity))))*. % 299.97/300.34 33730[3:SSi:33708.0,371.0] little_set(u) single_valued_set(universal_set) || member(v,universal_set)* -> equal(u,f3(v))*. % 299.97/300.34 34941[6:SpL:25.1,34934.0] || member(u,second(v)) equal(singleton_set(f6(u,v)),f1(universal_set,v))** -> . % 299.97/300.34 34942[6:SpL:20.1,34934.0] || member(u,first(v)) equal(singleton_set(f4(u,v)),f1(universal_set,v))** -> . % 299.97/300.34 34944[6:SpL:57.1,34934.0] || member(u,flip_range_of(v)) equal(singleton_set(f12(u,v)),f1(universal_set,u))** -> . % 299.97/300.34 34945[6:SpL:51.1,34934.0] || member(u,rotate_right(v)) equal(singleton_set(f9(u,v)),f1(universal_set,u))** -> . % 299.97/300.34 35320[0:Res:4273.2,1238.0] || member(u,compose(v,w))* subset(w,x)* disjoint(x,universal_set) -> . % 299.97/300.34 35440[0:Res:4348.2,1238.0] || member(u,compose(v,w))* subset(v,x)* disjoint(x,universal_set) -> . % 299.97/300.34 38160[0:Obv:38158.0] || subset(u,v)* member(w,compose(x,u))* disjoint(v,u) -> . % 299.97/300.34 38279[0:Obv:38277.0] || subset(u,v)* member(w,compose(u,x))* disjoint(v,u) -> . % 299.97/300.34 38965[2:Res:18200.1,70.0] ordered_pair_predicate(u) || subset(universal_set,v) -> member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.34 39165[0:Res:4621.2,1238.0] || member(u,flip_range_of(v))* member(v,w)* disjoint(sigma(w),universal_set)* -> . % 299.97/300.34 39228[0:Obv:39225.0] || member(u,v) member(w,flip_range_of(u))* disjoint(sigma(v),u)* -> . % 299.97/300.34 39629[0:Res:4769.2,1238.0] || member(u,rotate_right(v))* member(v,w)* disjoint(sigma(w),universal_set)* -> . % 299.97/300.34 39680[3:Res:13975.1,20718.0] || member(complement(complement(complement(sigma(u)))),u)* -> member(infinity,complement(complement(sigma(u)))). % 299.97/300.34 39683[3:Res:17151.1,20718.0] || disjoint(u,complement(complement(restrict(u,v))))* -> member(infinity,complement(restrict(u,v))). % 299.97/300.34 39684[3:Res:14040.1,20718.0] || disjoint(u,complement(complement(intersection(u,v))))* -> member(infinity,complement(intersection(u,v))). % 299.97/300.34 39685[3:Res:14043.1,20718.0] || disjoint(u,complement(complement(intersection(v,u))))* -> member(infinity,complement(intersection(v,u))). % 299.97/300.34 39748[0:Obv:39745.0] || member(u,v) member(w,rotate_right(u))* disjoint(sigma(v),u)* -> . % 299.97/300.34 40624[2:Res:25246.0,70.0] || subset(u,v) -> equal(complement(u),universal_set) member(f1(universal_set,complement(u)),v)*. % 299.97/300.34 40650[2:Res:25246.0,10964.0] || -> equal(complement(complement(complement(u))),universal_set) member(f1(universal_set,complement(complement(complement(u)))),u)*. % 299.97/300.34 40659[2:Res:25246.0,31.0] || -> equal(complement(intersection(u,v)),universal_set) member(f1(universal_set,complement(intersection(u,v))),u)*. % 299.97/300.34 40660[2:Res:25246.0,32.0] || -> equal(complement(intersection(u,v)),universal_set) member(f1(universal_set,complement(intersection(u,v))),v)*. % 299.97/300.34 40664[2:Res:25246.0,15955.0] || -> equal(complement(sigma(powerset(u))),universal_set) member(f1(universal_set,complement(sigma(powerset(u)))),u)*. % 299.97/300.34 40666[2:Res:25246.0,282.0] || -> equal(complement(restrict(u,v)),universal_set) member(f1(universal_set,complement(restrict(u,v))),u)*. % 299.97/300.34 43589[14:Res:42571.1,98.0] || subset(universal_set,u)* member(ordered_pair(universal_set,v),w)* disjoint(w,u)* -> . % 299.97/300.34 43590[14:Res:42571.1,68.0] || subset(universal_set,u)* member(u,v)* -> member(ordered_pair(universal_set,w),sigma(v))*. % 299.97/300.34 43603[14:Res:42571.1,4238.0] || subset(universal_set,compose(u,v))* equal(w,ordered_pair(universal_set,x))* -> ordered_pair_predicate(w)*. % 299.97/300.34 43733[0:MRR:43732.0,43732.1,43732.2,55.1,56.1,54.1] || member(u,v)* member(u,flip_range_of(w))* disjoint(flip_range_of(v),w)* -> . % 299.97/300.34 44514[14:Res:43614.1,39682.0] || subset(universal_set,powerset(complement(ordered_pair(universal_set,u))))* -> member(infinity,complement(ordered_pair(universal_set,u))). % 299.97/300.34 59177[16:Rew:54986.0,55162.2] || member(sigma(complement(u)),v)* -> member(a,sigma(u)) member(a,sigma(v)). % 299.97/300.34 59180[16:Rew:375.0,59179.1] || member(second(singleton_set(singleton_set(a))),set_b)* member(first(singleton_set(singleton_set(a))),set_a) -> . % 299.97/300.34 59181[16:Rew:375.0,55214.0] || equal(non_ordered_pair(u,v),singleton_set(singleton_set(a))) disjoint(universal_set,ordered_pair(u,v))* -> . % 299.97/300.34 59182[16:Rew:375.0,55218.1] || subset(universal_set,powerset(cross_product(set_a,set_b)))* member(singleton_set(singleton_set(a)),sigma(infinity)) -> . % 299.97/300.34 59183[16:Rew:54986.0,55255.0] || member(a,u) member(a,v) disjoint(intersection(v,u),infinity)* -> . % 299.97/300.34 59184[16:Rew:54986.0,55256.0] || member(a,u) member(a,v) disjoint(v,complement(complement(u)))* -> . % 299.97/300.34 59185[16:Rew:54986.0,55257.2] || member(complement(intersection(u,v)),w)* -> member(a,v) member(a,sigma(w)). % 299.97/300.34 59186[16:Rew:54986.0,55258.0] || member(a,u) disjoint(u,complement(intersection(v,w)))* -> member(a,v). % 299.97/300.34 59187[16:Rew:54986.0,55259.0] || member(a,u) disjoint(u,complement(restrict(v,w)))* -> member(a,v). % 299.97/300.34 59188[16:Rew:54986.0,55260.0] || member(a,singleton_set(u))* member(a,v) disjoint(v,successor(u))* -> . % 299.97/300.34 55261[16:Rew:54986.0,49191.1] || disjoint(successor(u),universal_set)* member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 55262[16:Rew:54986.0,49189.1] || disjoint(successor(u),infinity)* member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 55263[16:Rew:54986.0,49187.1] || disjoint(universal_set,complement(u))* member(a,v) disjoint(v,sigma(u))* -> . % 299.97/300.34 55264[16:Rew:54986.0,49185.1] || disjoint(complement(u),universal_set)* member(a,v) disjoint(v,sigma(u))* -> . % 299.97/300.34 59189[16:Rew:54986.0,55265.0] || subset(powerset(a),u) subset(sigma(powerset(u)),v)* -> member(a,v). % 299.97/300.34 59190[16:Rew:54986.0,55266.0] || equal(powerset(a),u) subset(sigma(singleton_set(u)),v)* -> member(a,v). % 299.97/300.34 59191[16:Rew:54986.0,55267.2] little_set(u) || member(a,v)* subset(u,a)* -> member(u,v)*. % 299.97/300.34 59192[16:Rew:54986.0,55268.1] little_set(u) || subset(u,a) -> member(a,v) member(u,complement(v))*. % 299.97/300.34 59194[16:Rew:54986.0,55270.0] || member(a,u) member(a,v) disjoint(universal_set,intersection(v,u))* -> . % 299.97/300.34 55271[16:Rew:54986.0,49172.1] || disjoint(universal_set,successor(u))* member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 59195[16:Rew:54986.0,55272.0] || disjoint(u,singleton_set(a))* member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 59196[16:Rew:54986.0,55273.0] || disjoint(u,successor(a))* member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 55274[16:Rew:54986.0,49159.1] || member(infinity,u) member(a,v) disjoint(v,sigma(sigma(u)))* -> . % 299.97/300.34 55275[16:Rew:54986.0,49157.1] || disjoint(u,sigma(infinity))* member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 59197[16:Rew:54986.0,55276.0] || subset(singleton_set(a),u) subset(sigma(powerset(u)),v)* -> member(a,v). % 299.97/300.34 59198[16:Rew:54986.0,55277.0] || equal(singleton_set(a),u) subset(sigma(singleton_set(u)),v)* -> member(a,v). % 299.97/300.34 55278[16:Rew:54986.0,49151.2] || subset(sigma(infinity),u) subset(sigma(powerset(u)),v)* -> member(a,v). % 299.97/300.34 55279[16:Rew:54986.0,49149.2] || equal(sigma(infinity),u) subset(sigma(singleton_set(u)),v)* -> member(a,v). % 299.97/300.34 59199[16:Rew:54986.0,55280.2,54986.0,55280.0] || member(a,u) member(a,v) -> subset(powerset(a),intersection(v,u))*. % 299.97/300.34 59200[16:Rew:54986.0,55281.0] || member(a,u) disjoint(u,complement(complement(complement(v))))* -> member(a,v). % 299.97/300.34 55282[16:Rew:54986.0,49138.2] || subset(universal_set,powerset(u)) subset(complement(complement(u)),v)* -> member(a,v). % 299.97/300.34 59201[16:Rew:54986.0,55283.0] || equal(a,u) subset(complement(complement(singleton_set(u))),v)* -> member(a,v). % 299.97/300.34 55284[16:Rew:54986.0,49134.2] || disjoint(successor(u),universal_set) subset(complement(singleton_set(u)),v)* -> member(a,v). % 299.97/300.34 55285[16:Rew:54986.0,49132.2] || disjoint(successor(u),infinity) subset(complement(singleton_set(u)),v)* -> member(a,v). % 299.97/300.34 55286[16:Rew:54986.0,49130.2] || disjoint(universal_set,successor(u)) subset(complement(singleton_set(u)),v)* -> member(a,v). % 299.97/300.34 59203[16:Rew:54986.0,55348.0] || member(a,u) member(a,v) disjoint(intersection(v,u),set_b)* -> . % 299.97/300.34 59204[16:Rew:54986.0,55365.0] || member(a,u) member(complement(complement(u)),v)* -> member(a,sigma(v)). % 299.97/300.34 59205[16:Rew:54986.0,55366.1] || member(complement(singleton_set(u)),v)* -> member(a,successor(u)) member(a,sigma(v)). % 299.97/300.34 59206[16:Rew:54986.0,55367.0] || member(a,singleton_set(u)) member(successor(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55368[16:Rew:54986.0,49256.2] || disjoint(successor(u),universal_set) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55369[16:Rew:54986.0,49255.2] || disjoint(successor(u),infinity) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55370[16:Rew:54986.0,49254.2] || disjoint(universal_set,complement(u)) member(sigma(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55371[16:Rew:54986.0,49253.2] || disjoint(complement(u),universal_set) member(sigma(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55372[16:Rew:54986.0,49248.2] || disjoint(universal_set,successor(u)) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 59207[16:Rew:54986.0,55373.0] || disjoint(u,singleton_set(a)) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 59208[16:Rew:54986.0,55374.0] || disjoint(u,successor(a)) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 55375[16:Rew:54986.0,49242.2] || member(infinity,u) member(sigma(sigma(u)),v)* -> member(a,sigma(v)). % 299.97/300.34 55376[16:Rew:54986.0,49241.2] || disjoint(u,sigma(infinity)) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 59209[16:Rew:54986.0,55377.1] || member(complement(complement(complement(u))),v)* -> member(a,u) member(a,sigma(v)). % 299.97/300.34 59210[16:Rew:54986.0,55378.0] || member(a,u) disjoint(u,sigma(complement(v)))* -> member(a,sigma(v)). % 299.97/300.34 59211[16:Rew:54986.0,55379.1] || member(sigma(complement(u)),v)* -> member(powerset(a),u) member(a,sigma(v)). % 299.97/300.34 59212[16:Rew:54986.0,55380.1] || member(sigma(complement(u)),v)* -> member(singleton_set(a),u) member(a,sigma(v)). % 299.97/300.34 55381[16:Rew:54986.0,49221.2] || member(sigma(complement(u)),v)* -> member(sigma(infinity),u) member(a,sigma(v)). % 299.97/300.34 59213[16:Rew:54986.0,55382.0] || member(sigma(complement(range_of(cross_product(singleton_set(a),u)))),v)* -> member(a,sigma(v)). % 299.97/300.34 55410[16:Rew:54986.0,49303.1] || subset(universal_set,union(u,v)) member(a,intersection(complement(u),complement(v)))* -> . % 299.97/300.34 59214[16:Rew:54986.0,55411.1] || member(a,intersection(complement(u),complement(v)))* -> disjoint(powerset(a),union(u,v)). % 299.97/300.34 59215[16:Rew:54986.0,55412.1] || member(a,intersection(complement(u),complement(v)))* -> disjoint(union(u,v),powerset(a)). % 299.97/300.34 59216[16:Rew:54986.0,55413.1] || member(a,intersection(complement(u),complement(v)))* -> member(a,complement(union(u,v))). % 299.97/300.34 55414[16:Rew:54986.0,49295.1] || disjoint(successor(union(u,v)),universal_set) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 55415[16:Rew:54986.0,49294.1] || disjoint(successor(union(u,v)),infinity) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 55416[16:Rew:54986.0,49291.1] || subset(infinity,union(u,v)) member(a,intersection(complement(u),complement(v)))* -> . % 299.97/300.34 55417[16:Rew:54986.0,49289.1] || disjoint(universal_set,successor(union(u,v))) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 59217[16:Rew:54986.0,55418.0] || subset(powerset(union(u,v)),a) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 59218[16:Rew:54986.0,55419.0] || disjoint(union(u,v),singleton_set(a)) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 59219[16:Rew:54986.0,55420.0] || disjoint(union(u,v),successor(a)) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 55421[16:Rew:54986.0,49284.1] || disjoint(union(u,v),sigma(infinity)) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 59220[16:Rew:54986.0,55422.1] || -> member(a,intersection(complement(u),complement(v)))* member(a,complement(complement(union(u,v)))). % 299.97/300.34 55423[16:Rew:54986.0,49281.1] || subset(universal_set,complement(union(u,v))) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 55424[16:Rew:54986.0,49278.1] || subset(infinity,complement(union(u,v))) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 59221[16:Rew:54986.0,55432.1] || member(a,apply(u,v)) disjoint(second(f28(a,u,v)),infinity)* -> . % 299.97/300.34 59222[16:Rew:54986.0,55433.1] || member(a,apply(u,v)) disjoint(universal_set,second(f28(a,u,v)))* -> . % 299.97/300.34 59223[16:Rew:54986.0,55434.1] || member(a,apply(u,v)) disjoint(second(f28(a,u,v)),set_b)* -> . % 299.97/300.34 55435[16:Rew:54986.0,49663.1] || disjoint(successor(intersection(complement(u),complement(v))),universal_set)* -> member(a,union(u,v)). % 299.97/300.34 55436[16:Rew:54986.0,49662.1] || disjoint(successor(intersection(complement(u),complement(v))),infinity)* -> member(a,union(u,v)). % 299.97/300.34 55437[16:Rew:54986.0,49660.1] || disjoint(universal_set,successor(intersection(complement(u),complement(v))))* -> member(a,union(u,v)). % 299.97/300.34 59224[16:Rew:54986.0,55438.0] || disjoint(intersection(complement(u),complement(v)),successor(a))* -> member(a,union(u,v)). % 299.97/300.34 55439[16:Rew:54986.0,49658.1] || disjoint(intersection(complement(u),complement(v)),sigma(infinity))* -> member(a,union(u,v)). % 299.97/300.34 59225[16:Rew:54986.0,55440.0] || disjoint(intersection(complement(u),complement(v)),singleton_set(a))* -> member(a,union(u,v)). % 299.97/300.34 55474[16:Rew:54986.0,48691.1] || -> equal(f24(non_ordered_pair(u,v)),u)** equal(non_ordered_pair(u,v),a) member(v,universal_set). % 299.97/300.34 55475[16:Rew:54986.0,48690.1] || -> equal(f24(non_ordered_pair(u,v)),v)** equal(non_ordered_pair(u,v),a) member(u,universal_set). % 299.97/300.34 55476[16:Rew:54986.0,48674.1] || -> equal(f26(non_ordered_pair(u,v)),v)** equal(non_ordered_pair(u,v),a) member(u,universal_set). % 299.97/300.34 55477[16:Rew:54986.0,48673.1] || -> equal(f26(non_ordered_pair(u,v)),u)** equal(non_ordered_pair(u,v),a) member(v,universal_set). % 299.97/300.34 59226[16:Rew:54986.0,55503.2] || equal(singleton_set(u),a) subset(ordered_pair(u,v),w)* -> member(a,w). % 299.97/300.34 59227[16:Rew:54986.0,55549.2] || member(a,u) disjoint(u,complement(intersection(v,w)))* -> member(a,w). % 299.97/300.34 59228[16:Rew:54986.0,55550.2] || member(complement(intersection(u,v)),w)* -> member(a,u) member(a,sigma(w)). % 299.97/300.34 59229[16:Rew:54986.0,55551.2] || member(complement(restrict(u,v)),w)* -> member(a,u) member(a,sigma(w)). % 299.97/300.34 59231[16:Rew:54986.0,55553.2] || member(a,u) disjoint(u,complement(singleton_set(v)))* -> member(a,successor(v)). % 299.97/300.34 59233[16:Rew:54986.0,55555.2] || member(a,u) disjoint(u,sigma(complement(v)))* -> member(powerset(a),v). % 299.97/300.34 55556[16:Rew:54986.0,49671.0] || member(a,u) disjoint(u,sigma(complement(v)))* -> member(sigma(infinity),v). % 299.97/300.34 55557[16:Rew:54986.0,49670.0] || member(a,u) disjoint(u,sigma(complement(image(ordered_pair(universal_set,v),w))))* -> . % 299.97/300.34 59234[16:Rew:54986.0,55558.1] || member(a,u) disjoint(u,sigma(complement(range_of(cross_product(singleton_set(a),v)))))* -> . % 299.97/300.34 59235[16:Rew:54986.0,55559.2] || member(a,u) disjoint(u,sigma(complement(v)))* -> member(singleton_set(a),v). % 299.97/300.34 59236[16:Rew:54986.0,55653.2] || subset(complement(cross_product(u,v)),w)* -> member(second(a),v) member(a,w). % 299.97/300.34 59237[16:Rew:54986.0,55660.0] || subset(u,a) member(u,cross_product(v,w))* -> member(second(a),w). % 299.97/300.34 59238[16:Rew:54986.0,55661.0] || subset(u,a) member(u,cross_product(v,w))* -> member(first(a),v). % 299.97/300.34 59239[16:Rew:54986.0,55675.2] || subset(complement(cross_product(u,v)),w)* -> member(first(a),u) member(a,w). % 299.97/300.34 55687[16:Rew:54986.0,51531.1] || subset(u,v)* -> member(a,sigma(complement(u)))* member(ordered_pair(universal_set,w),v)*. % 299.97/300.34 59240[16:Rew:54986.0,55694.1] little_set(successor(estin)) || subset(successor(a),u) -> member(a,sigma(powerset(u)))*. % 299.97/300.34 59241[16:Rew:54986.0,55776.1] || equal(ordered_pair(u,v),a) -> member(a,ordered_pair(singleton_set(u),non_ordered_pair(u,v)))*. % 299.97/300.34 59242[16:Rew:54986.0,55797.1] little_set(successor(estin)) || equal(successor(a),u) -> member(a,sigma(singleton_set(u)))*. % 299.97/300.34 55820[16:Rew:54986.0,51035.1] || -> member(sigma(infinity),union(u,v)) member(a,sigma(intersection(complement(u),complement(v))))*. % 299.97/300.34 59243[16:Rew:54986.0,55821.0] || -> member(a,sigma(union(u,v))) member(a,sigma(intersection(complement(u),complement(v))))*. % 299.97/300.34 59244[16:Rew:54986.0,55822.0] || subset(union(u,v),a) -> member(a,sigma(intersection(complement(u),complement(v))))*. % 299.97/300.34 59245[16:Rew:54986.0,55823.0] || -> member(singleton_set(a),union(u,v)) member(a,sigma(intersection(complement(u),complement(v))))*. % 299.97/300.34 56125[16:Rew:54986.0,49032.1] || subset(u,cross_product(v,w))* -> equal(u,a) member(first(f24(u)),v). % 299.97/300.34 56126[16:Rew:54986.0,49031.1] || subset(u,cross_product(v,w))* -> equal(u,a) member(second(f24(u)),w). % 299.97/300.34 56127[16:Rew:54986.0,49030.1] || subset(u,domain_of(cross_product(v,w)))* -> equal(u,a) member(f24(u),v). % 299.97/300.34 56128[16:Rew:54986.0,49029.1] || subset(u,range_of(cross_product(v,w)))* -> equal(u,a) member(f24(u),w). % 299.97/300.34 59246[16:Rew:54986.0,56129.1] || disjoint(singleton_set(f24(u)),u)* -> equal(singleton_set(f24(u)),a) equal(u,a). % 299.97/300.34 56130[16:Rew:54986.0,49005.2] || equal(f24(u),v) disjoint(non_ordered_pair(v,w),u)* -> equal(u,a). % 299.97/300.34 56131[16:Rew:54986.0,49004.2] || equal(f24(u),v) disjoint(non_ordered_pair(w,v),u)* -> equal(u,a). % 299.97/300.34 56132[16:Rew:54986.0,48992.2] || member(u,ordered_pair(universal_set,v))* -> equal(u,non_ordered_pair(universal_set,v)) equal(u,a). % 299.97/300.34 56133[16:Rew:54986.0,48988.0] || equal(u,a) member(u,v)* disjoint(v,ordered_pair(universal_set,w))* -> . % 299.97/300.34 56134[16:Rew:54986.0,48987.0] || equal(u,a) member(ordered_pair(universal_set,v),w)* -> member(u,sigma(w))*. % 299.97/300.34 59247[16:Rew:54986.0,56135.0] || equal(f24(u),a) disjoint(ordered_pair(universal_set,v),u)* -> equal(u,a). % 299.97/300.34 56136[16:Rew:54986.0,48906.2] little_set(u) || subset(u,range_of(cross_product(f26(u),v)))* -> equal(u,a). % 299.97/300.34 56137[16:Rew:54986.0,48901.2] little_set(u) || subset(f25,apply_to_two_arguments(v,u,f26(u)))* -> equal(u,a). % 299.97/300.34 56139[16:Rew:54986.0,48853.2] little_set(u) || subset(universal_set,v) -> equal(u,a) member(f26(u),v)*. % 299.97/300.34 56140[16:Rew:54986.0,48851.3] little_set(u) || subset(f25,v)* disjoint(v,f25) -> equal(u,a)*. % 299.97/300.34 59248[16:Rew:54986.0,56141.2] little_set(u) || member(f25,v) subset(v,a)* -> equal(u,a)*. % 299.97/300.34 59249[16:Rew:54986.0,56142.2] little_set(u) || -> equal(u,a) equal(f26(u),a) ordered_pair_predicate(f26(f26(u)))*. % 299.97/300.34 59250[16:Rew:54986.0,56208.2] || equal(a,u) member(non_ordered_pair(v,u),w)* -> member(a,sigma(w)). % 299.97/300.34 59251[16:Rew:54986.0,56209.2] || equal(a,u) member(non_ordered_pair(u,v),w)* -> member(a,sigma(w)). % 299.97/300.34 59252[16:Rew:54986.0,56307.1] || subset(universal_set,non_ordered_pair(u,v))* -> equal(singleton_set(a),v) equal(singleton_set(a),u). % 299.97/300.34 56432[16:Rew:54986.0,49373.1] || disjoint(universal_set,complement(u))* member(singleton_set(a),v)* disjoint(v,u)* -> . % 299.97/300.34 56433[16:Rew:54986.0,49369.1] || disjoint(complement(u),universal_set)* member(singleton_set(a),v)* disjoint(v,u)* -> . % 299.97/300.34 56434[16:Rew:54986.0,49365.1] || member(universal_set,powerset(u))* member(singleton_set(a),v)* disjoint(v,u)* -> . % 299.97/300.34 56460[16:Rew:54986.0,49357.2] || equal(u,universal_set) member(u,converse(v))* -> member(singleton_set(singleton_set(a)),v)*. % 299.97/300.34 56471[16:Rew:54986.0,49467.1] || disjoint(universal_set,complement(converse(u)))* -> ordered_pair_predicate(ordered_pair(second(singleton_set(a)),first(singleton_set(a))))*. % 299.97/300.34 56472[16:Rew:54986.0,49466.1] || disjoint(complement(converse(u)),universal_set)* -> ordered_pair_predicate(ordered_pair(second(singleton_set(a)),first(singleton_set(a))))*. % 299.97/300.34 56473[16:Rew:54986.0,49465.1] || member(universal_set,powerset(converse(u)))* -> ordered_pair_predicate(ordered_pair(second(singleton_set(a)),first(singleton_set(a))))*. % 299.97/300.34 59253[16:Rew:54986.0,56529.1] || disjoint(intersection(complement(u),universal_set),singleton_set(a))* disjoint(union(u,a),universal_set) -> . % 299.97/300.34 59254[16:Rew:54986.0,56530.1] || disjoint(intersection(complement(u),universal_set),singleton_set(a))* disjoint(union(u,a),infinity) -> . % 299.97/300.34 59255[16:Rew:54986.0,56532.1] || disjoint(intersection(universal_set,complement(u)),singleton_set(a))* disjoint(union(a,u),universal_set) -> . % 299.97/300.34 59256[16:Rew:54986.0,56533.1] || disjoint(intersection(universal_set,complement(u)),singleton_set(a))* disjoint(union(a,u),infinity) -> . % 299.97/300.34 59257[16:Rew:54986.0,56535.0] || disjoint(sigma(union(u,a)),universal_set) -> member(singleton_set(a),intersection(complement(u),universal_set))*. % 299.97/300.34 59258[16:Rew:54986.0,56536.0] || disjoint(universal_set,sigma(union(u,a))) -> member(singleton_set(a),intersection(complement(u),universal_set))*. % 299.97/300.34 59259[16:Rew:54986.0,56537.0] || disjoint(sigma(union(u,a)),infinity) -> member(singleton_set(a),intersection(complement(u),universal_set))*. % 299.97/300.34 59260[16:Rew:54986.0,56538.0] || subset(universal_set,union(u,a)) member(singleton_set(a),intersection(complement(u),universal_set))* -> . % 299.97/300.34 59261[16:Rew:54986.0,56539.0] || subset(universal_set,complement(union(u,a))) -> member(singleton_set(a),intersection(complement(u),universal_set))*. % 299.97/300.34 59262[16:Rew:54986.0,56542.0] || disjoint(sigma(union(a,u)),universal_set) -> member(singleton_set(a),intersection(universal_set,complement(u)))*. % 299.97/300.34 59263[16:Rew:54986.0,56543.0] || disjoint(universal_set,sigma(union(a,u))) -> member(singleton_set(a),intersection(universal_set,complement(u)))*. % 299.97/300.34 59264[16:Rew:54986.0,56544.0] || disjoint(sigma(union(a,u)),infinity) -> member(singleton_set(a),intersection(universal_set,complement(u)))*. % 299.97/300.34 59265[16:Rew:54986.0,56545.0] || subset(universal_set,union(a,u)) member(singleton_set(a),intersection(universal_set,complement(u)))* -> . % 299.97/300.34 59266[16:Rew:54986.0,56546.0] || subset(universal_set,complement(union(a,u))) -> member(singleton_set(a),intersection(universal_set,complement(u)))*. % 299.97/300.34 56549[16:Rew:54986.0,49566.2] || disjoint(universal_set,complement(u))* member(u,v)* -> member(singleton_set(a),sigma(v))*. % 299.97/300.34 56550[16:Rew:54986.0,49565.2] || disjoint(complement(u),universal_set)* member(u,v)* -> member(singleton_set(a),sigma(v))*. % 299.97/300.34 56551[16:Rew:54986.0,49564.2] || member(universal_set,powerset(u))* member(u,v)* -> member(singleton_set(a),sigma(v))*. % 299.97/300.34 59267[16:Rew:54986.0,56554.0] || equal(first(f27(singleton_set(a),u)),a)** member(singleton_set(a),range_of(u)) -> . % 299.97/300.34 59268[16:Rew:54986.0,56562.0] || subset(union(u,v),a) -> member(singleton_set(a),intersection(complement(u),complement(v)))*. % 299.97/300.34 59269[16:Rew:54986.0,56563.1] || -> member(singleton_set(a),intersection(complement(u),complement(v)))* member(a,sigma(union(u,v))). % 299.97/300.34 59270[16:Rew:54986.0,56564.1] || subset(universal_set,second(f8(singleton_set(a),u)))* member(singleton_set(a),domain_of(u)) -> . % 299.97/300.34 59271[16:Rew:375.0,56568.1] || subset(universal_set,powerset(cross_product(set_a,set_b)))* member(singleton_set(singleton_set(a)),singleton_set(a)) -> . % 299.97/300.34 59272[16:Rew:54986.0,56664.1] || subset(universal_set,non_ordered_pair(u,v))* -> equal(powerset(a),v) equal(powerset(a),u). % 299.97/300.34 56771[16:Rew:54986.0,50366.1] || disjoint(universal_set,complement(u))* member(powerset(a),v)* disjoint(v,u)* -> . % 299.97/300.34 56772[16:Rew:54986.0,50362.1] || disjoint(complement(u),universal_set)* member(powerset(a),v)* disjoint(v,u)* -> . % 299.97/300.34 56773[16:Rew:54986.0,50358.1] || member(universal_set,powerset(u))* member(powerset(a),v)* disjoint(v,u)* -> . % 299.97/300.34 56795[16:Rew:54986.0,50383.1] || disjoint(universal_set,complement(converse(u)))* -> ordered_pair_predicate(ordered_pair(second(powerset(a)),first(powerset(a))))*. % 299.97/300.34 56796[16:Rew:54986.0,50382.1] || disjoint(complement(converse(u)),universal_set)* -> ordered_pair_predicate(ordered_pair(second(powerset(a)),first(powerset(a))))*. % 299.97/300.34 56797[16:Rew:54986.0,50381.1] || member(universal_set,powerset(converse(u)))* -> ordered_pair_predicate(ordered_pair(second(powerset(a)),first(powerset(a))))*. % 299.97/300.34 59273[16:Rew:54986.0,56839.2] || equal(u,v)* member(u,powerset(a))* -> member(a,non_ordered_pair(w,v))*. % 299.97/300.34 59274[16:Rew:54986.0,56840.2] || equal(u,v)* member(u,powerset(a))* -> member(a,non_ordered_pair(v,w))*. % 299.97/300.34 59275[16:Rew:54986.0,56865.0] || subset(universal_set,complement(union(u,a))) -> member(powerset(a),intersection(complement(u),universal_set))*. % 299.97/300.34 59276[16:Rew:54986.0,56866.0] || disjoint(universal_set,sigma(union(u,a))) -> member(powerset(a),intersection(complement(u),universal_set))*. % 299.97/300.34 59277[16:Rew:54986.0,56867.0] || disjoint(sigma(union(u,a)),infinity) -> member(powerset(a),intersection(complement(u),universal_set))*. % 299.97/300.34 59278[16:Rew:54986.0,56868.0] || disjoint(sigma(union(u,a)),universal_set) -> member(powerset(a),intersection(complement(u),universal_set))*. % 299.97/300.34 59279[16:Rew:54986.0,56869.0] || subset(universal_set,union(u,a)) member(powerset(a),intersection(complement(u),universal_set))* -> . % 299.97/300.34 59280[16:Rew:54986.0,56874.0] || subset(universal_set,complement(union(a,u))) -> member(powerset(a),intersection(universal_set,complement(u)))*. % 299.97/300.34 59281[16:Rew:54986.0,56875.0] || disjoint(universal_set,sigma(union(a,u))) -> member(powerset(a),intersection(universal_set,complement(u)))*. % 299.97/300.34 59282[16:Rew:54986.0,56876.0] || disjoint(sigma(union(a,u)),infinity) -> member(powerset(a),intersection(universal_set,complement(u)))*. % 299.97/300.34 59283[16:Rew:54986.0,56877.0] || disjoint(sigma(union(a,u)),universal_set) -> member(powerset(a),intersection(universal_set,complement(u)))*. % 299.97/300.34 59284[16:Rew:54986.0,56878.0] || subset(universal_set,union(a,u)) member(powerset(a),intersection(universal_set,complement(u)))* -> . % 299.97/300.34 56881[16:Rew:54986.0,50441.2] || disjoint(universal_set,complement(u))* member(u,v)* -> member(powerset(a),sigma(v))*. % 299.97/300.34 56882[16:Rew:54986.0,50440.2] || disjoint(complement(u),universal_set)* member(u,v)* -> member(powerset(a),sigma(v))*. % 299.97/300.34 56883[16:Rew:54986.0,50439.2] || member(universal_set,powerset(u))* member(u,v)* -> member(powerset(a),sigma(v))*. % 299.97/300.34 59285[16:Rew:375.0,56885.1] || subset(universal_set,powerset(cross_product(set_a,set_b)))* member(singleton_set(singleton_set(a)),powerset(a)) -> . % 299.97/300.34 59286[16:Rew:54986.0,56897.0] || subset(union(u,v),a) -> member(powerset(a),intersection(complement(u),complement(v)))*. % 299.97/300.34 59287[16:Rew:54986.0,56898.1] || -> member(powerset(a),intersection(complement(u),complement(v)))* member(a,sigma(union(u,v))). % 299.97/300.34 59288[16:Rew:54986.0,56899.1] || subset(universal_set,second(f8(powerset(a),u)))* member(powerset(a),domain_of(u)) -> . % 299.97/300.34 59289[16:Rew:54986.0,56903.1] || member(u,image(v,powerset(a)))* -> equal(f22(u,v,powerset(a)),a). % 299.97/300.34 59290[16:Rew:54986.0,56904.1] || member(u,apply(powerset(a),v))* -> equal(f28(u,powerset(a),v),a). % 299.97/300.34 59292[16:Rew:54986.0,57138.1] || disjoint(intersection(complement(u),universal_set),successor(a))* disjoint(union(u,a),universal_set) -> . % 299.97/300.34 59293[16:Rew:54986.0,57139.1] || disjoint(intersection(complement(u),universal_set),successor(a))* disjoint(union(u,a),infinity) -> . % 299.97/300.34 59294[16:Rew:54986.0,57141.1] || disjoint(intersection(universal_set,complement(u)),successor(a))* disjoint(union(a,u),universal_set) -> . % 299.97/300.34 59295[16:Rew:54986.0,57142.1] || disjoint(intersection(universal_set,complement(u)),successor(a))* disjoint(union(a,u),infinity) -> . % 299.97/300.34 57194[16:Rew:54986.0,50648.2] || subset(f25,u)* subset(u,v)* -> member(ordered_pair(powerset(a),a),v)*. % 299.97/300.34 57195[16:Rew:54986.0,50644.2] || subset(universal_set,u)* subset(u,v)* -> member(ordered_pair(powerset(a),a),v)*. % 299.97/300.34 57231[16:Rew:54986.0,50678.1] || subset(f25,flip_range_of(u))* equal(v,ordered_pair(powerset(a),a))* -> ordered_pair_predicate(v)*. % 299.97/300.34 57232[16:Rew:54986.0,50677.1] || subset(f25,rotate_right(u))* equal(v,ordered_pair(powerset(a),a))* -> ordered_pair_predicate(v)*. % 299.97/300.34 57233[16:Rew:54986.0,50676.1] || subset(universal_set,flip_range_of(u))* equal(v,ordered_pair(powerset(a),a))* -> ordered_pair_predicate(v)*. % 299.97/300.34 57234[16:Rew:54986.0,50675.1] || subset(universal_set,rotate_right(u))* equal(v,ordered_pair(powerset(a),a))* -> ordered_pair_predicate(v)*. % 299.97/300.34 57235[16:Rew:54986.0,50680.1] || subset(f25,restrict(u,v))* -> member(ordered_pair(powerset(a),a),cross_product(v,universal_set))*. % 299.97/300.34 57236[16:Rew:54986.0,50679.1] || subset(universal_set,restrict(u,v))* -> member(ordered_pair(powerset(a),a),cross_product(v,universal_set))*. % 299.97/300.34 57237[16:Rew:54986.0,50682.1] || subset(f25,image(u,cross_product(v,w)))* -> member(ordered_pair(powerset(a),a),w). % 299.97/300.34 57238[16:Rew:54986.0,50681.1] || subset(universal_set,image(u,cross_product(v,w)))* -> member(ordered_pair(powerset(a),a),w). % 299.97/300.34 59296[16:Rew:54986.0,57326.2] || member(union(u,v),w)* -> member(a,complement(u)) member(a,sigma(w)). % 299.97/300.34 57392[16:Rew:54986.0,50095.0] || -> equal(converse(u),a) ordered_pair_predicate(ordered_pair(second(f24(converse(u))),first(f24(converse(u)))))*. % 299.97/300.34 57415[16:Rew:54986.0,49953.1] || disjoint(universal_set,successor(intersection(complement(u),universal_set)))* disjoint(union(u,a),infinity) -> . % 299.97/300.34 57416[16:Rew:54986.0,49951.1] || disjoint(intersection(complement(u),universal_set),sigma(infinity))* disjoint(union(u,a),infinity) -> . % 299.97/300.34 57422[16:Rew:54986.0,49995.0] || disjoint(union(u,a),universal_set) disjoint(universal_set,sigma(intersection(complement(u),universal_set)))* -> . % 299.97/300.34 57423[16:Rew:54986.0,49994.1] || disjoint(universal_set,successor(intersection(complement(u),universal_set)))* disjoint(union(u,a),universal_set) -> . % 299.97/300.34 57424[16:Rew:54986.0,49993.0] || disjoint(union(u,a),universal_set) -> equal(union(intersection(complement(u),universal_set),v),universal_set)**. % 299.97/300.34 57425[16:Rew:54986.0,49992.0] || disjoint(union(u,a),universal_set) -> equal(union(v,intersection(complement(u),universal_set)),universal_set)**. % 299.97/300.34 57426[16:Rew:54986.0,49990.1] || disjoint(intersection(complement(u),universal_set),sigma(infinity))* disjoint(union(u,a),universal_set) -> . % 299.97/300.34 59297[16:Rew:54986.0,57445.0] || subset(intersection(complement(u),universal_set),union(u,a))* -> member(infinity,union(u,a)). % 299.97/300.34 57449[16:Rew:54986.0,49985.0] || disjoint(sigma(union(u,a)),infinity) -> member(sigma(infinity),intersection(complement(u),universal_set))*. % 299.97/300.34 59298[16:Rew:54986.0,57450.1] || disjoint(sigma(union(u,a)),infinity) -> member(a,sigma(intersection(complement(u),universal_set)))*. % 299.97/300.34 57451[16:Rew:54986.0,49988.0] || disjoint(universal_set,sigma(union(u,a))) -> member(sigma(infinity),intersection(complement(u),universal_set))*. % 299.97/300.34 59299[16:Rew:54986.0,57452.1] || disjoint(universal_set,sigma(union(u,a))) -> member(a,sigma(intersection(complement(u),universal_set)))*. % 299.97/300.34 57453[16:Rew:54986.0,49982.0] || disjoint(sigma(union(u,a)),universal_set) -> member(sigma(infinity),intersection(complement(u),universal_set))*. % 299.97/300.34 59300[16:Rew:54986.0,57454.1] || disjoint(sigma(union(u,a)),universal_set) -> member(a,sigma(intersection(complement(u),universal_set)))*. % 299.97/300.34 57455[16:Rew:54986.0,49962.0] || subset(universal_set,union(u,a)) member(sigma(infinity),intersection(complement(u),universal_set))* -> . % 299.97/300.34 57459[16:Rew:54986.0,49965.0] || -> equal(complement(intersection(union(u,a),complement(v))),union(intersection(complement(u),universal_set),v))**. % 299.97/300.34 57464[16:Rew:54986.0,50016.0] || subset(universal_set,complement(union(u,a))) -> member(sigma(infinity),intersection(complement(u),universal_set))*. % 299.97/300.34 59301[16:Rew:54986.0,57467.1] || disjoint(complement(complement(union(u,a))),universal_set)* -> member(a,intersection(complement(u),universal_set)). % 299.97/300.34 59302[16:Rew:54986.0,57468.1] || disjoint(universal_set,complement(complement(union(u,a))))* -> member(a,intersection(complement(u),universal_set)). % 299.97/300.34 59303[16:Rew:54986.0,57469.1] || disjoint(complement(complement(union(u,a))),infinity)* -> member(a,intersection(complement(u),universal_set)). % 299.97/300.34 59304[16:Rew:54986.0,57470.0] || member(a,intersection(complement(u),universal_set))* disjoint(complement(union(u,a)),universal_set) -> . % 299.97/300.34 59305[16:Rew:54986.0,57471.0] || member(a,intersection(complement(u),universal_set))* disjoint(complement(union(u,a)),infinity) -> . % 299.97/300.34 59306[16:Rew:54986.0,57472.0] || member(a,intersection(complement(u),universal_set))* disjoint(universal_set,complement(union(u,a))) -> . % 299.97/300.34 57476[16:Rew:54986.0,50035.1] || subset(universal_set,powerset(intersection(complement(u),universal_set)))* subset(infinity,union(u,a)) -> . % 299.97/300.34 59307[16:Rew:54986.0,57488.1] || subset(union(u,a),intersection(complement(u),universal_set))* -> equal(union(u,a),a). % 299.97/300.34 57490[16:Rew:54986.0,50039.0] || disjoint(union(u,a),union(u,a))* -> member(infinity,intersection(complement(u),universal_set)). % 299.97/300.34 57513[16:Rew:54986.0,49068.2] ordered_pair_predicate(complement(u)) || member(f26(complement(u)),u)* -> equal(complement(u),a). % 299.97/300.34 57533[16:Rew:54986.0,49816.1] || disjoint(universal_set,successor(intersection(universal_set,complement(u))))* disjoint(union(a,u),infinity) -> . % 299.97/300.34 57534[16:Rew:54986.0,49814.1] || disjoint(intersection(universal_set,complement(u)),sigma(infinity))* disjoint(union(a,u),infinity) -> . % 299.97/300.34 57540[16:Rew:54986.0,49858.0] || disjoint(union(a,u),universal_set) disjoint(universal_set,sigma(intersection(universal_set,complement(u))))* -> . % 299.97/300.34 57541[16:Rew:54986.0,49857.1] || disjoint(universal_set,successor(intersection(universal_set,complement(u))))* disjoint(union(a,u),universal_set) -> . % 299.97/300.34 57542[16:Rew:54986.0,49856.0] || disjoint(union(a,u),universal_set) -> equal(union(intersection(universal_set,complement(u)),v),universal_set)**. % 299.97/300.34 57543[16:Rew:54986.0,49855.0] || disjoint(union(a,u),universal_set) -> equal(union(v,intersection(universal_set,complement(u))),universal_set)**. % 299.97/300.34 57544[16:Rew:54986.0,49853.1] || disjoint(intersection(universal_set,complement(u)),sigma(infinity))* disjoint(union(a,u),universal_set) -> . % 299.97/300.34 59308[16:Rew:54986.0,57563.0] || subset(intersection(universal_set,complement(u)),union(a,u))* -> member(infinity,union(a,u)). % 299.97/300.34 57567[16:Rew:54986.0,49848.0] || disjoint(sigma(union(a,u)),infinity) -> member(sigma(infinity),intersection(universal_set,complement(u)))*. % 299.97/300.34 59309[16:Rew:54986.0,57568.1] || disjoint(sigma(union(a,u)),infinity) -> member(a,sigma(intersection(universal_set,complement(u))))*. % 299.97/300.34 57569[16:Rew:54986.0,49851.0] || disjoint(universal_set,sigma(union(a,u))) -> member(sigma(infinity),intersection(universal_set,complement(u)))*. % 299.97/300.34 59310[16:Rew:54986.0,57570.1] || disjoint(universal_set,sigma(union(a,u))) -> member(a,sigma(intersection(universal_set,complement(u))))*. % 299.97/300.34 57571[16:Rew:54986.0,49845.0] || disjoint(sigma(union(a,u)),universal_set) -> member(sigma(infinity),intersection(universal_set,complement(u)))*. % 299.97/300.34 59311[16:Rew:54986.0,57572.1] || disjoint(sigma(union(a,u)),universal_set) -> member(a,sigma(intersection(universal_set,complement(u))))*. % 299.97/300.34 57573[16:Rew:54986.0,49821.0] || subset(universal_set,union(a,u)) member(sigma(infinity),intersection(universal_set,complement(u)))* -> . % 299.97/300.34 57577[16:Rew:54986.0,49824.0] || -> equal(complement(intersection(union(a,u),complement(v))),union(intersection(universal_set,complement(u)),v))**. % 299.97/300.34 57582[16:Rew:54986.0,49879.0] || subset(universal_set,complement(union(a,u))) -> member(sigma(infinity),intersection(universal_set,complement(u)))*. % 299.97/300.34 59312[16:Rew:54986.0,57585.1] || disjoint(complement(complement(union(a,u))),universal_set)* -> member(a,intersection(universal_set,complement(u))). % 299.97/300.34 59313[16:Rew:54986.0,57586.1] || disjoint(universal_set,complement(complement(union(a,u))))* -> member(a,intersection(universal_set,complement(u))). % 299.97/300.34 59314[16:Rew:54986.0,57587.1] || disjoint(complement(complement(union(a,u))),infinity)* -> member(a,intersection(universal_set,complement(u))). % 299.97/300.34 59315[16:Rew:54986.0,57588.0] || member(a,intersection(universal_set,complement(u)))* disjoint(complement(union(a,u)),universal_set) -> . % 299.97/300.34 59316[16:Rew:54986.0,57589.0] || member(a,intersection(universal_set,complement(u)))* disjoint(complement(union(a,u)),infinity) -> . % 299.97/300.34 59317[16:Rew:54986.0,57590.0] || member(a,intersection(universal_set,complement(u)))* disjoint(universal_set,complement(union(a,u))) -> . % 299.97/300.34 57594[16:Rew:54986.0,49898.1] || subset(universal_set,powerset(intersection(universal_set,complement(u))))* subset(infinity,union(a,u)) -> . % 299.97/300.34 59318[16:Rew:54986.0,57606.1] || subset(union(a,u),intersection(universal_set,complement(u)))* -> equal(union(a,u),a). % 299.97/300.34 57608[16:Rew:54986.0,49902.0] || disjoint(union(a,u),union(a,u))* -> member(infinity,intersection(universal_set,complement(u))). % 299.97/300.34 59319[16:Rew:54986.0,57714.1] || -> equal(restrict(u,v),a) member(f1(restrict(u,v),a),cross_product(v,universal_set))*. % 299.97/300.34 59320[16:Rew:54986.0,57715.1] || -> equal(restrict(u,v),a) member(f1(a,restrict(u,v)),cross_product(v,universal_set))*. % 299.97/300.34 57742[16:Rew:54986.0,50058.2] little_set(u) || -> member(u,intersection(complement(v),universal_set))* member(u,union(v,a)). % 299.97/300.34 57750[16:Rew:54986.0,50060.0] || -> equal(complement(intersection(complement(u),union(v,a))),union(u,intersection(complement(v),universal_set)))**. % 299.97/300.34 57770[16:Rew:54986.0,49919.2] little_set(u) || -> member(u,intersection(universal_set,complement(v)))* member(u,union(a,v)). % 299.97/300.34 57778[16:Rew:54986.0,49921.0] || -> equal(complement(intersection(complement(u),union(a,v))),union(u,intersection(universal_set,complement(v))))**. % 299.97/300.34 59321[16:Rew:54986.0,57803.2] || member(union(u,v),w)* -> member(a,complement(v)) member(a,sigma(w)). % 299.97/300.34 57871[16:Rew:54986.0,49766.1] || subset(f25,u) -> equal(singleton_set(v),a) member(ordered_pair(singleton_set(v),v),u)*. % 299.97/300.34 57872[16:Rew:54986.0,49762.1] || subset(universal_set,u) -> equal(singleton_set(v),a) member(ordered_pair(singleton_set(v),v),u)*. % 299.97/300.34 57917[16:Rew:54986.0,50846.2] little_set(powerset(u)) || subset(powerset(u),v)* -> member(a,sigma(powerset(v)))*. % 299.97/300.34 57919[16:Rew:54986.0,50848.2] little_set(powerset(u)) || equal(powerset(u),v)* -> member(a,sigma(singleton_set(v)))*. % 299.97/300.34 57952[16:Rew:54986.0,51326.1] || -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f21(intersection(f25,u))),intersection(f25,u))*. % 299.97/300.34 57960[16:Rew:54986.0,51334.1] || -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f20(intersection(f25,u))),intersection(f25,u))*. % 299.97/300.34 57968[16:Rew:54986.0,51342.1] || -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f21(intersection(u,f25))),intersection(u,f25))*. % 299.97/300.34 57976[16:Rew:54986.0,51350.1] || -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f20(intersection(u,f25))),intersection(u,f25))*. % 299.97/300.34 57982[16:Rew:54986.0,51395.1] || -> single_valued_set(restrict(f25,u)) member(ordered_pair(a,f21(restrict(f25,u))),restrict(f25,u))*. % 299.97/300.34 57988[16:Rew:54986.0,51401.1] || -> single_valued_set(restrict(f25,u)) member(ordered_pair(a,f20(restrict(f25,u))),restrict(f25,u))*. % 299.97/300.34 58019[16:Rew:54986.0,50938.1] || subset(sigma(complement(range_of(cross_product(ordered_pair(universal_set,u),v)))),w)* -> member(a,w). % 299.97/300.34 58036[16:Rew:54986.0,51552.0] || -> member(a,sigma(complement(restrict(u,v))))* member(ordered_pair(universal_set,w),cross_product(v,universal_set))*. % 299.97/300.34 59322[16:Rew:54986.0,58041.1] || -> equal(domain_of(cross_product(u,v)),a) member(f1(domain_of(cross_product(u,v)),a),u)*. % 299.97/300.34 59323[16:Rew:54986.0,58042.1] || -> equal(domain_of(cross_product(u,v)),a) member(f1(a,domain_of(cross_product(u,v))),u)*. % 299.97/300.34 59324[16:Rew:54986.0,58045.1] || -> equal(range_of(cross_product(u,v)),a) member(f1(range_of(cross_product(u,v)),a),v)*. % 299.97/300.34 59325[16:Rew:54986.0,58046.1] || -> equal(range_of(cross_product(u,v)),a) member(f1(a,range_of(cross_product(u,v))),v)*. % 299.97/300.34 58060[16:Rew:54986.0,50935.1] || subset(universal_set,powerset(intersection(universal_set,complement(u))))* -> member(a,complement(union(a,u))). % 299.97/300.34 58062[16:Rew:54986.0,50934.1] || subset(universal_set,powerset(intersection(complement(u),universal_set)))* -> member(a,complement(union(u,a))). % 299.97/300.34 58089[16:Rew:54986.0,50856.1] || equal(ordered_pair(universal_set,u),non_ordered_pair(v,w))* -> member(a,sigma(ordered_pair(v,w)))*. % 299.97/300.34 58097[16:Rew:54986.0,50947.1] || member(sigma(complement(image(ordered_pair(universal_set,u),v))),w)* -> member(a,sigma(w)). % 299.97/300.34 58114[16:Rew:54986.0,48659.1] || equal(f24(complement(non_ordered_pair(u,v))),v)** -> equal(complement(non_ordered_pair(u,v)),a). % 299.97/300.34 58115[16:Rew:54986.0,48658.1] || equal(f24(complement(non_ordered_pair(u,v))),u)** -> equal(complement(non_ordered_pair(u,v)),a). % 299.97/300.34 58117[16:Rew:54986.0,49307.1] || member(f24(complement(complement(complement(u)))),u)* -> equal(complement(complement(complement(u))),a). % 299.97/300.34 58119[16:Rew:54986.0,49317.1] || disjoint(intersection(complement(u),complement(v)),universal_set)* -> equal(complement(union(u,v)),a). % 299.97/300.34 58120[16:Rew:54986.0,51563.1] || -> member(sigma(infinity),intersection(complement(u),complement(v)))* member(a,sigma(union(u,v))). % 299.97/300.34 58121[16:Rew:54986.0,51674.0] || subset(union(u,v),a) disjoint(universal_set,intersection(complement(u),complement(v)))* -> . % 299.97/300.34 58122[16:Rew:54986.0,50959.1] || disjoint(intersection(complement(u),complement(v)),infinity)* subset(union(u,v),a) -> . % 299.97/300.34 58123[16:Rew:54986.0,50958.0] || subset(union(u,v),a) -> member(sigma(infinity),intersection(complement(u),complement(v)))*. % 299.97/300.34 58124[16:Rew:54986.0,50105.1] || member(f24(intersection(complement(u),v)),u)* -> equal(intersection(complement(u),v),a). % 299.97/300.34 58125[16:Rew:54986.0,50121.1] || member(f24(intersection(u,complement(v))),v)* -> equal(intersection(u,complement(v)),a). % 299.97/300.34 58126[16:Rew:54986.0,50164.0] || -> equal(cross_product(u,powerset(v)),a) subset(second(f24(cross_product(u,powerset(v)))),v)*. % 299.97/300.34 58127[16:Rew:54986.0,50165.0] || -> equal(cross_product(u,singleton_set(v)),a) equal(second(f24(cross_product(u,singleton_set(v)))),v)**. % 299.97/300.34 58128[16:Rew:54986.0,50185.0] || -> equal(cross_product(powerset(u),v),a) subset(first(f24(cross_product(powerset(u),v))),u)*. % 299.97/300.34 58129[16:Rew:54986.0,50186.0] || -> equal(cross_product(singleton_set(u),v),a) equal(first(f24(cross_product(singleton_set(u),v))),u)**. % 299.97/300.34 58132[16:Rew:54986.0,50312.1] || equal(u,f24(compose(v,w)))* -> equal(compose(v,w),a) ordered_pair_predicate(u)*. % 299.97/300.34 58137[16:Rew:54986.0,50601.1] || equal(successor(second(f24(cross_product(u,infinity)))),universal_set)** -> equal(cross_product(u,infinity),a). % 299.97/300.34 58138[16:Rew:54986.0,50602.1] || equal(successor(first(f24(cross_product(infinity,u)))),universal_set)** -> equal(cross_product(infinity,u),a). % 299.97/300.34 59326[16:Rew:54986.0,58150.1] || equal(f24(complement(ordered_pair(universal_set,u))),a)** -> equal(complement(ordered_pair(universal_set,u)),a). % 299.97/300.34 58153[16:Rew:54986.0,50881.1] || member(u,singleton_set(complement(v)))* -> equal(singleton_set(complement(v)),a) member(u,v). % 299.97/300.34 58155[16:Rew:54986.0,50887.1] || -> ordered_pair_predicate(u) equal(non_ordered_pair(singleton_set(a),ordered_pair(u,v)),ordered_pair(a,non_ordered_pair(u,v)))**. % 299.97/300.34 58156[16:Rew:54986.0,50886.1] || -> little_set(u) equal(non_ordered_pair(singleton_set(a),ordered_pair(u,v)),ordered_pair(a,non_ordered_pair(u,v)))**. % 299.97/300.34 58157[16:Rew:54986.0,50964.1] || disjoint(union(u,v),universal_set) subset(intersection(complement(u),complement(v)),a)* -> . % 299.97/300.34 58158[16:Rew:54986.0,50963.1] || disjoint(universal_set,union(u,v)) subset(intersection(complement(u),complement(v)),a)* -> . % 299.97/300.34 58173[16:Rew:54986.0,51130.1] || member(u,f25) -> equal(f2(u),a) equal(f26(f2(u)),f3(u))**. % 299.97/300.34 58175[16:Rew:54986.0,51215.2] || member(u,image(v,w))* member(w,x)* subset(x,a)* -> . % 299.97/300.34 58176[16:Rew:54986.0,51214.2] || member(u,apply(v,w))* member(v,x)* subset(x,a)* -> . % 299.97/300.34 58177[16:Rew:54986.0,51213.2] || member(u,image(v,w))* member(v,x)* subset(x,a)* -> . % 299.97/300.34 58178[16:Rew:54986.0,51212.2] || member(u,compose(v,w))* member(w,x)* subset(x,a)* -> . % 299.97/300.34 58179[16:Rew:54986.0,51211.2] || member(u,compose(v,w))* member(v,x)* subset(x,a)* -> . % 299.97/300.34 58184[16:Rew:54986.0,51560.0] || -> member(a,sigma(complement(image(u,cross_product(v,w)))))* member(ordered_pair(universal_set,x),w)*. % 299.97/300.34 58185[16:Rew:54986.0,51561.1] || equal(u,ordered_pair(universal_set,v))* -> member(a,sigma(complement(flip_range_of(w))))* ordered_pair_predicate(u)*. % 299.97/300.34 58186[16:Rew:54986.0,51562.1] || equal(u,ordered_pair(universal_set,v))* -> member(a,sigma(complement(rotate_right(w))))* ordered_pair_predicate(u)*. % 299.97/300.34 67377[15:SpL:36.0,53531.1] || disjoint(intersection(complement(u),complement(v)),set_b)* disjoint(union(u,v),infinity) -> . % 299.97/300.34 67533[16:Res:77.2,58846.0] little_set(successor(a)) || subset(successor(a),u) -> member(a,sigma(powerset(u)))*. % 299.97/300.34 67534[16:Res:1079.2,58846.0] little_set(successor(a)) || equal(successor(a),u) -> member(a,sigma(singleton_set(u)))*. % 299.97/300.34 70285[16:SpL:36.0,60769.1] || disjoint(intersection(complement(u),complement(v)),set_a)* disjoint(union(u,v),infinity) -> . % 299.97/300.34 70300[16:SpL:36.0,60817.1] || disjoint(intersection(complement(u),complement(v)),set_a)* disjoint(union(u,v),set_b) -> . % 299.97/300.34 70371[16:SpL:36.0,64105.1] || disjoint(intersection(complement(u),complement(v)),set_b)* disjoint(union(u,v),set_a) -> . % 299.97/300.34 70504[16:SpL:36.0,64449.1] || disjoint(intersection(complement(u),complement(v)),set_b)* disjoint(universal_set,union(u,v)) -> . % 299.97/300.34 70590[16:SpL:36.0,64452.1] || disjoint(intersection(complement(u),complement(v)),set_a)* disjoint(universal_set,union(u,v)) -> . % 299.97/300.34 70601[16:SpL:36.0,65784.1] || disjoint(intersection(complement(u),complement(v)),infinity)* disjoint(union(u,v),set_b) -> . % 299.97/300.34 70692[16:SpL:36.0,65786.1] || disjoint(intersection(complement(u),complement(v)),infinity)* disjoint(union(u,v),set_a) -> . % 299.97/300.34 70706[16:SpR:36.0,65798.1] || disjoint(successor(intersection(complement(u),complement(v))),set_b)* -> member(a,union(u,v)). % 299.97/300.34 70721[16:Res:65798.1,98.0] || disjoint(successor(u),set_b)* member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 70722[16:Res:65798.1,68.0] || disjoint(successor(u),set_b) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 70894[16:SpR:36.0,65800.1] || disjoint(successor(intersection(complement(u),complement(v))),set_a)* -> member(a,union(u,v)). % 299.97/300.34 70909[16:Res:65800.1,98.0] || disjoint(successor(u),set_a)* member(a,v) disjoint(v,complement(u))* -> . % 299.97/300.34 70910[16:Res:65800.1,68.0] || disjoint(successor(u),set_a) member(complement(u),v)* -> member(a,sigma(v)). % 299.97/300.34 70930[16:SpL:36.0,65822.1] || disjoint(universal_set,intersection(complement(u),complement(v)))* disjoint(union(u,v),set_b) -> . % 299.97/300.34 70945[16:SpL:36.0,65824.1] || disjoint(universal_set,intersection(complement(u),complement(v)))* disjoint(union(u,v),set_a) -> . % 299.97/300.34 71020[16:SpL:36.0,70727.0] || disjoint(successor(union(u,v)),set_b) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 71027[16:SpL:36.0,70915.0] || disjoint(successor(union(u,v)),set_a) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.34 73291[17:Rew:73253.0,57048.1] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(a),first(a)),v)*. % 299.97/300.34 73292[17:Rew:73253.0,57049.1] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(a),first(a)),u)*. % 299.97/300.34 73312[17:Rew:73253.0,57068.1] || subset(universal_set,intersection(complement(u),complement(v)))* member(a,union(u,v)) -> . % 299.97/300.34 73354[17:Rew:73253.0,73314.1] || subset(universal_set,second(f28(u,v,a)))* member(u,apply(v,a)) -> . % 299.97/300.34 78624[16:Res:55073.2,56189.0] little_set(u) || -> equal(u,a) equal(f26(u),a) little_set(f26(f26(u)))*. % 299.97/300.34 82462[0:Rew:2239.1,82461.1] || member(u,v) member(u,w) -> subset(singleton_set(u),intersection(w,v))*. % 299.97/300.34 82666[0:Res:82575.0,1241.2] || equal(u,v)* member(u,singleton_set(w))* -> member(w,non_ordered_pair(x,v))*. % 299.97/300.34 82667[0:Res:82575.0,1242.2] || equal(u,v)* member(u,singleton_set(w))* -> member(w,non_ordered_pair(v,x))*. % 299.97/300.34 82779[16:Res:82637.1,1019.1] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(complement(set_b))) -> . % 299.97/300.34 82784[16:Res:82637.1,1215.0] || equal(ordered_pair(f19(u),f21(u)),a)** disjoint(set_b,u) -> single_valued_set(u). % 299.97/300.34 82785[16:Res:82637.1,1216.0] || equal(ordered_pair(f19(u),f20(u)),a)** disjoint(set_b,u) -> single_valued_set(u). % 299.97/300.34 82807[16:Res:82637.1,1472.1] || equal(first(f22(set_b,u,v)),a)** member(set_b,image(u,v)) -> . % 299.97/300.34 82932[3:Res:82638.1,1019.1] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(complement(set_a))) -> . % 299.97/300.34 82937[3:Res:82638.1,1215.0] || equal(ordered_pair(f19(u),f21(u)),a)** disjoint(set_a,u) -> single_valued_set(u). % 299.97/300.34 82938[3:Res:82638.1,1216.0] || equal(ordered_pair(f19(u),f20(u)),a)** disjoint(set_a,u) -> single_valued_set(u). % 299.97/300.34 82960[3:Res:82638.1,1472.1] || equal(first(f22(set_a,u,v)),a)** member(set_a,image(u,v)) -> . % 299.97/300.34 83086[16:Res:82641.1,1019.1] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(complement(infinity))) -> . % 299.97/300.34 83091[16:Res:82641.1,1215.0] || equal(ordered_pair(f19(u),f21(u)),a)** disjoint(infinity,u) -> single_valued_set(u). % 299.97/300.34 83092[16:Res:82641.1,1216.0] || equal(ordered_pair(f19(u),f20(u)),a)** disjoint(infinity,u) -> single_valued_set(u). % 299.97/300.34 83114[16:Res:82641.1,1472.1] || equal(first(f22(infinity,u,v)),a)** member(infinity,image(u,v)) -> . % 299.97/300.34 83942[16:Res:55065.2,83606.1] || subset(u,f24(powerset(v)))* subset(f24(u),v) -> equal(u,a). % 299.97/300.34 84132[16:Res:55065.2,25433.0] || subset(u,image(v,w))* subset(v,f24(u)) -> equal(u,a). % 299.97/300.34 86773[16:SoR:10938.0,57003.1] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),f1(universal_set,a))** -> . % 299.97/300.34 87639[16:Res:82665.1,1213.0] || equal(f23(u,v),a)** disjoint(sigma(infinity),u)* -> disjoint(u,v). % 299.97/300.34 87640[16:Res:82665.1,1221.0] || equal(f23(u,v),a)** disjoint(sigma(infinity),v)* -> disjoint(u,v). % 299.97/300.34 87641[16:Res:82665.1,1214.0] || equal(f17(u,v),a)** disjoint(sigma(infinity),u)* -> subset(u,v). % 299.97/300.34 87682[16:Res:82665.1,616.1] || equal(first(f27(sigma(infinity),u)),a)** member(sigma(infinity),range_of(u)) -> . % 299.97/300.34 87793[16:Res:82681.1,1213.0] || equal(f23(u,v),a)** disjoint(successor(a),u)* -> disjoint(u,v). % 299.97/300.34 87794[16:Res:82681.1,1221.0] || equal(f23(u,v),a)** disjoint(successor(a),v)* -> disjoint(u,v). % 299.97/300.34 87795[16:Res:82681.1,1214.0] || equal(f17(u,v),a)** disjoint(successor(a),u)* -> subset(u,v). % 299.97/300.34 87836[16:Res:82681.1,616.1] || equal(first(f27(successor(a),u)),a)** member(successor(a),range_of(u)) -> . % 299.97/300.34 87949[16:Rew:87905.1,83041.1] || equal(f1(infinity,complement(u)),a)** -> member(a,u) equal(complement(u),infinity). % 299.97/300.34 87950[16:Rew:87905.1,82887.1] || equal(f1(set_a,complement(u)),a)** -> member(a,u) equal(complement(u),set_a). % 299.97/300.34 87951[16:Rew:87905.1,82734.1] || equal(f1(set_b,complement(u)),a)** -> member(a,u) equal(complement(u),set_b). % 299.97/300.34 87955[16:Rew:87905.1,83059.2] || equal(f1(u,complement(infinity)),a)** -> equal(u,complement(infinity)) member(a,u). % 299.97/300.34 87956[16:Rew:87905.1,82905.2] || equal(f1(u,complement(set_a)),a)** -> equal(u,complement(set_a)) member(a,u). % 299.97/300.34 87957[16:Rew:87905.1,82752.2] || equal(f1(u,complement(set_b)),a)** -> equal(u,complement(set_b)) member(a,u). % 299.97/300.34 87964[16:Rew:87905.1,83044.2] || equal(f1(complement(infinity),u),a)** -> equal(complement(infinity),u) member(a,u). % 299.97/300.34 87965[16:Rew:87905.1,82890.2] || equal(f1(complement(set_a),u),a)** -> equal(complement(set_a),u) member(a,u). % 299.97/300.34 87966[16:Rew:87905.1,82737.2] || equal(f1(complement(set_b),u),a)** -> equal(complement(set_b),u) member(a,u). % 299.97/300.34 88108[16:Res:82671.1,55063.0] || equal(f24(u),infinity) disjoint(singleton_set(f24(u)),u)* -> equal(u,a). % 299.97/300.34 89152[0:Res:71.1,14370.1] || member(f17(converse(complement(u)),v),converse(u))* -> subset(converse(complement(u)),v). % 299.97/300.34 89154[0:Res:99.1,14370.1] || member(f23(converse(complement(u)),v),converse(u))* -> disjoint(converse(complement(u)),v). % 299.97/300.34 89165[16:Res:58828.1,14370.1] || member(f1(converse(complement(u)),a),converse(u))* -> equal(converse(complement(u)),a). % 299.97/300.34 89169[16:Res:58827.1,14370.1] || member(f1(a,converse(complement(u))),converse(u))* -> equal(converse(complement(u)),a). % 299.97/300.34 89187[0:Res:100.1,14370.1] || member(f23(u,converse(complement(v))),converse(v))* -> disjoint(u,converse(complement(v))). % 299.97/300.34 89270[16:Res:57170.1,14370.1] || subset(universal_set,converse(complement(u))) member(ordered_pair(powerset(a),a),converse(u))* -> . % 299.97/300.34 89271[16:Res:57169.1,14370.1] || subset(f25,converse(complement(u))) member(ordered_pair(powerset(a),a),converse(u))* -> . % 299.97/300.34 89408[16:Res:55074.1,43745.1] || member(f24(flip_range_of(complement(flip_range_of(u)))),u)* -> equal(flip_range_of(complement(flip_range_of(u))),a). % 299.97/300.34 89505[16:Res:57170.1,43745.1] || subset(universal_set,flip_range_of(complement(flip_range_of(u))))* member(ordered_pair(powerset(a),a),u) -> . % 299.97/300.34 89506[16:Res:57169.1,43745.1] || subset(f25,flip_range_of(complement(flip_range_of(u))))* member(ordered_pair(powerset(a),a),u) -> . % 299.97/300.34 89580[16:Res:211.1,56180.0] || disjoint(u,universal_set) -> disjoint(powerset(u),v) equal(f23(powerset(u),v),a)**. % 299.97/300.34 89581[16:Res:216.1,56180.0] || disjoint(u,universal_set) -> subset(powerset(u),v) equal(f17(powerset(u),v),a)**. % 299.97/300.34 89596[16:Res:206.1,56180.0] || disjoint(u,universal_set) -> disjoint(v,powerset(u)) equal(f23(v,powerset(u)),a)**. % 299.97/300.34 91342[16:Rew:90184.0,91108.2] || equal(f1(universal_set,complement(u)),a)** -> member(a,u) equal(complement(u),universal_set). % 299.97/300.34 92584[16:Res:55074.1,19261.0] || -> equal(sigma(intersection(u,v)),a) member(f24(sigma(intersection(u,v))),sigma(u))*. % 299.97/300.34 92680[16:Res:57170.1,19261.0] || subset(universal_set,sigma(intersection(u,v)))* -> member(ordered_pair(powerset(a),a),sigma(u))*. % 299.97/300.34 92681[16:Res:57169.1,19261.0] || subset(f25,sigma(intersection(u,v)))* -> member(ordered_pair(powerset(a),a),sigma(u))*. % 299.97/300.34 92710[16:Res:55062.2,19261.0] || member(u,intersection(v,w))* -> equal(u,a) member(f24(u),sigma(v))*. % 299.97/300.34 92711[16:Res:55064.2,19261.0] || member(u,intersection(v,w))* -> equal(u,a) member(f26(u),sigma(v))*. % 299.97/300.34 92786[16:Res:55074.1,19263.0] || -> equal(sigma(intersection(u,v)),a) member(f24(sigma(intersection(u,v))),sigma(v))*. % 299.97/300.34 92882[16:Res:57170.1,19263.0] || subset(universal_set,sigma(intersection(u,v)))* -> member(ordered_pair(powerset(a),a),sigma(v))*. % 299.97/300.34 92883[16:Res:57169.1,19263.0] || subset(f25,sigma(intersection(u,v)))* -> member(ordered_pair(powerset(a),a),sigma(v))*. % 299.97/300.34 92912[16:Res:55062.2,19263.0] || member(u,intersection(v,w))* -> equal(u,a) member(f24(u),sigma(w))*. % 299.97/300.34 92913[16:Res:55064.2,19263.0] || member(u,intersection(v,w))* -> equal(u,a) member(f26(u),sigma(w))*. % 299.97/300.34 93017[16:Res:83585.1,56181.0] little_set(u) || disjoint(u,f26(powerset(u)))* -> equal(f26(powerset(u)),a). % 299.97/300.34 93045[16:Res:82452.1,56181.0] || subset(u,v) disjoint(powerset(v),singleton_set(u))* -> equal(singleton_set(u),a). % 299.97/300.34 93111[16:Res:92484.0,57812.0] || -> single_valued_set(f24(complement(complement(powerset(f25))))) equal(f19(f24(complement(complement(powerset(f25))))),a)**. % 299.97/300.34 93825[16:Res:91848.1,1241.2] || equal(non_ordered_pair(u,v),a)** equal(w,v)* member(w,x)* -> . % 299.97/300.34 93826[16:Res:91848.1,1242.2] || equal(non_ordered_pair(u,v),a)** equal(w,u)* member(w,x)* -> . % 299.97/300.34 93924[16:Con:93705.3] || equal(intersection(u,v),a)** member(w,v)* member(w,u)* -> . % 299.97/300.34 93925[16:Con:93880.2] || equal(second(f28(u,v,w)),a)** member(u,apply(v,w)) -> . % 299.97/300.34 94211[16:Res:57719.1,34.1] || member(f24(restrict(complement(u),v)),u)* -> equal(restrict(complement(u),v),a). % 299.97/300.34 94452[0:Res:211.1,14041.0] || disjoint(u,v) -> disjoint(powerset(u),w) disjoint(f23(powerset(u),w),v)*. % 299.97/300.34 94453[0:Res:216.1,14041.0] || disjoint(u,v) -> subset(powerset(u),w) disjoint(f17(powerset(u),w),v)*. % 299.97/300.34 94456[14:Res:43614.1,14041.0] || subset(universal_set,powerset(u))* disjoint(u,v)* -> disjoint(ordered_pair(universal_set,w),v)*. % 299.97/300.34 94469[0:Res:206.1,14041.0] || disjoint(u,v) -> disjoint(w,powerset(u)) disjoint(f23(w,powerset(u)),v)*. % 299.97/300.34 94782[0:Res:211.1,14151.0] || disjoint(u,v) -> disjoint(powerset(u),w) disjoint(v,f23(powerset(u),w))*. % 299.97/300.34 94783[0:Res:216.1,14151.0] || disjoint(u,v) -> subset(powerset(u),w) disjoint(v,f17(powerset(u),w))*. % 299.97/300.34 94786[14:Res:43614.1,14151.0] || subset(universal_set,powerset(u))* disjoint(u,v)* -> disjoint(v,ordered_pair(universal_set,w))*. % 299.97/300.34 94799[0:Res:206.1,14151.0] || disjoint(u,v) -> disjoint(w,powerset(u)) disjoint(v,f23(w,powerset(u)))*. % 299.97/300.34 94943[16:Res:13775.1,57998.0] || member(f24(complement(powerset(sigma(u)))),u)* -> equal(complement(powerset(sigma(u))),a). % 299.97/300.34 94944[16:Res:13861.1,57998.0] || disjoint(u,f24(complement(powerset(complement(u)))))* -> equal(complement(powerset(complement(u))),a). % 299.97/300.34 96022[16:SpL:92193.1,43745.1] || equal(flip_range_of(u),a) member(v,u)* member(v,flip_range_of(universal_set))* -> . % 299.97/300.34 96326[16:Res:1103.2,92502.1] little_set(u) || equal(u,singleton_set(v))* equal(ordered_pair(v,w),a)** -> . % 299.97/300.34 96340[16:Res:3821.1,92502.1] || equal(a,u) -> equal(u,powerset(v)) subset(f1(u,powerset(v)),v)*. % 299.97/300.34 96386[16:Res:3839.1,92502.1] || equal(a,u) -> equal(powerset(v),u) subset(f1(powerset(v),u),v)*. % 299.97/300.34 96491[16:Res:1161.2,92502.1] || member(u,domain_of(v))* member(v,w)* equal(sigma(w),a) -> . % 299.97/300.34 96492[16:Res:1160.2,92502.1] || member(u,sigma(v))* member(v,w)* equal(sigma(w),a) -> . % 299.97/300.34 96493[16:Res:1159.2,92502.1] || member(u,range_of(v))* member(v,w)* equal(sigma(w),a) -> . % 299.97/300.34 96494[16:Res:4621.2,92502.1] || member(u,flip_range_of(v))* member(v,w)* equal(sigma(w),a) -> . % 299.97/300.34 96495[16:Res:4769.2,92502.1] || member(u,rotate_right(v))* member(v,w)* equal(sigma(w),a) -> . % 299.97/300.34 96537[16:Res:1339.2,92502.1] || member(u,image(v,w))* subset(w,x)* equal(a,x) -> . % 299.97/300.34 96539[16:Res:1274.2,92502.1] || member(u,apply(v,w))* subset(v,x)* equal(a,x) -> . % 299.97/300.34 96540[16:Res:1544.2,92502.1] || member(u,image(v,w))* subset(v,x)* equal(a,x) -> . % 299.97/300.34 96544[16:Res:4273.2,92502.1] || member(u,compose(v,w))* subset(w,x)* equal(a,x) -> . % 299.97/300.34 96546[16:Res:4348.2,92502.1] || member(u,compose(v,w))* subset(v,x)* equal(a,x) -> . % 299.97/300.34 97068[3:MRR:96957.0,6160.1] || member(u,v) disjoint(v,converse(powerset(ordered_pair(second(u),first(u)))))* -> . % 299.97/300.34 97071[16:SSi:97015.0,6740.0,159.0,991.0,55026.0,150.0,55031.0,150.0,159.0,991.0,55026.1] || disjoint(universal_set,converse(powerset(ordered_pair(second(singleton_set(singleton_set(a))),first(singleton_set(singleton_set(a)))))))* -> . % 299.97/300.34 97398[16:EmS:10805.0,58002.2] || equal(universal_set,u) equal(u,f24(flip_range_of(v)))* -> equal(flip_range_of(v),a). % 299.97/300.34 97448[16:EmS:10805.0,58005.2] || equal(universal_set,u) equal(u,f24(rotate_right(v)))* -> equal(rotate_right(v),a). % 299.97/300.34 97631[7:Res:33376.1,2899.0] || member(universal_set,powerset(domain_of(singleton_set(u))))* -> equal(f8(sigma(infinity),singleton_set(u)),u). % 299.97/300.34 97632[7:Res:26831.1,2899.0] || disjoint(complement(domain_of(singleton_set(u))),universal_set)* -> equal(f8(sigma(infinity),singleton_set(u)),u). % 299.97/300.34 97633[7:Res:26830.1,2899.0] || disjoint(universal_set,complement(domain_of(singleton_set(u))))* -> equal(f8(sigma(infinity),singleton_set(u)),u). % 299.97/300.34 97635[16:Res:55074.1,2899.0] || -> equal(domain_of(singleton_set(u)),a) equal(f8(f24(domain_of(singleton_set(u))),singleton_set(u)),u)**. % 299.97/300.34 97640[16:Res:56367.1,2899.0] || member(universal_set,powerset(domain_of(singleton_set(u))))* -> equal(f8(singleton_set(a),singleton_set(u)),u). % 299.97/300.34 97641[16:Res:56366.1,2899.0] || disjoint(complement(domain_of(singleton_set(u))),universal_set)* -> equal(f8(singleton_set(a),singleton_set(u)),u). % 299.97/300.34 97642[16:Res:56365.1,2899.0] || disjoint(universal_set,complement(domain_of(singleton_set(u))))* -> equal(f8(singleton_set(a),singleton_set(u)),u). % 299.97/300.34 97644[16:Res:56728.1,2899.0] || member(universal_set,powerset(domain_of(singleton_set(u))))* -> equal(f8(powerset(a),singleton_set(u)),u). % 299.97/300.34 97645[16:Res:56727.1,2899.0] || disjoint(complement(domain_of(singleton_set(u))),universal_set)* -> equal(f8(powerset(a),singleton_set(u)),u). % 299.97/300.34 97646[16:Res:56726.1,2899.0] || disjoint(universal_set,complement(domain_of(singleton_set(u))))* -> equal(f8(powerset(a),singleton_set(u)),u). % 299.97/300.34 97731[14:Res:42571.1,2899.0] || subset(universal_set,domain_of(singleton_set(u))) -> equal(f8(ordered_pair(universal_set,v),singleton_set(u)),u)**. % 299.97/300.34 97844[7:Res:33376.1,2938.0] || member(universal_set,powerset(sigma(singleton_set(u))))* -> equal(f16(sigma(infinity),singleton_set(u)),u). % 299.97/300.34 97845[7:Res:26831.1,2938.0] || disjoint(complement(sigma(singleton_set(u))),universal_set)* -> equal(f16(sigma(infinity),singleton_set(u)),u). % 299.97/300.34 97846[7:Res:26830.1,2938.0] || disjoint(universal_set,complement(sigma(singleton_set(u))))* -> equal(f16(sigma(infinity),singleton_set(u)),u). % 299.97/300.34 97848[16:Res:55074.1,2938.0] || -> equal(sigma(singleton_set(u)),a) equal(f16(f24(sigma(singleton_set(u))),singleton_set(u)),u)**. % 299.97/300.34 97853[16:Res:56367.1,2938.0] || member(universal_set,powerset(sigma(singleton_set(u))))* -> equal(f16(singleton_set(a),singleton_set(u)),u). % 299.97/300.34 97854[16:Res:56366.1,2938.0] || disjoint(complement(sigma(singleton_set(u))),universal_set)* -> equal(f16(singleton_set(a),singleton_set(u)),u). % 299.97/300.34 97855[16:Res:56365.1,2938.0] || disjoint(universal_set,complement(sigma(singleton_set(u))))* -> equal(f16(singleton_set(a),singleton_set(u)),u). % 299.97/300.34 97857[16:Res:56728.1,2938.0] || member(universal_set,powerset(sigma(singleton_set(u))))* -> equal(f16(powerset(a),singleton_set(u)),u). % 299.97/300.34 97858[16:Res:56727.1,2938.0] || disjoint(complement(sigma(singleton_set(u))),universal_set)* -> equal(f16(powerset(a),singleton_set(u)),u). % 299.97/300.34 97859[16:Res:56726.1,2938.0] || disjoint(universal_set,complement(sigma(singleton_set(u))))* -> equal(f16(powerset(a),singleton_set(u)),u). % 299.97/300.34 97944[14:Res:42571.1,2938.0] || subset(universal_set,sigma(singleton_set(u))) -> equal(f16(ordered_pair(universal_set,v),singleton_set(u)),u)**. % 299.97/300.34 98012[16:SSi:97852.0,69.0,150.1] || -> equal(sigma(singleton_set(u)),a) equal(f16(f26(sigma(singleton_set(u))),singleton_set(u)),u)**. % 299.97/300.34 98087[7:Res:33376.1,2959.0] || member(universal_set,powerset(range_of(singleton_set(u))))* -> equal(f27(sigma(infinity),singleton_set(u)),u). % 299.97/300.34 98088[7:Res:26831.1,2959.0] || disjoint(complement(range_of(singleton_set(u))),universal_set)* -> equal(f27(sigma(infinity),singleton_set(u)),u). % 299.97/300.34 98089[7:Res:26830.1,2959.0] || disjoint(universal_set,complement(range_of(singleton_set(u))))* -> equal(f27(sigma(infinity),singleton_set(u)),u). % 299.97/300.34 98091[16:Res:55074.1,2959.0] || -> equal(range_of(singleton_set(u)),a) equal(f27(f24(range_of(singleton_set(u))),singleton_set(u)),u)**. % 299.97/300.34 98096[16:Res:56367.1,2959.0] || member(universal_set,powerset(range_of(singleton_set(u))))* -> equal(f27(singleton_set(a),singleton_set(u)),u). % 299.97/300.34 98097[16:Res:56366.1,2959.0] || disjoint(complement(range_of(singleton_set(u))),universal_set)* -> equal(f27(singleton_set(a),singleton_set(u)),u). % 299.97/300.34 98098[16:Res:56365.1,2959.0] || disjoint(universal_set,complement(range_of(singleton_set(u))))* -> equal(f27(singleton_set(a),singleton_set(u)),u). % 299.97/300.34 98100[16:Res:56728.1,2959.0] || member(universal_set,powerset(range_of(singleton_set(u))))* -> equal(f27(powerset(a),singleton_set(u)),u). % 299.97/300.34 98101[16:Res:56727.1,2959.0] || disjoint(complement(range_of(singleton_set(u))),universal_set)* -> equal(f27(powerset(a),singleton_set(u)),u). % 299.97/300.34 98102[16:Res:56726.1,2959.0] || disjoint(universal_set,complement(range_of(singleton_set(u))))* -> equal(f27(powerset(a),singleton_set(u)),u). % 299.97/300.34 98187[14:Res:42571.1,2959.0] || subset(universal_set,range_of(singleton_set(u))) -> equal(f27(ordered_pair(universal_set,v),singleton_set(u)),u)**. % 299.97/300.34 98400[6:Res:8090.0,10857.1] || equal(successor(f17(complement(complement(infinity)),u)),universal_set)** -> subset(complement(complement(infinity)),u). % 299.97/300.34 98401[0:Res:8090.0,76.0] || -> subset(complement(complement(powerset(u))),v) subset(f17(complement(complement(powerset(u))),v),u)*. % 299.97/300.34 98402[0:Res:8090.0,1444.0] || -> subset(complement(complement(singleton_set(u))),v) equal(f17(complement(complement(singleton_set(u))),v),u)**. % 299.97/300.34 98516[6:Res:9082.0,10857.1] || equal(successor(f23(u,complement(complement(infinity)))),universal_set)** -> disjoint(u,complement(complement(infinity))). % 299.97/300.34 98517[0:Res:9082.0,76.0] || -> disjoint(u,complement(complement(powerset(v)))) subset(f23(u,complement(complement(powerset(v)))),v)*. % 299.97/300.34 98518[0:Res:9082.0,1444.0] || -> disjoint(u,complement(complement(singleton_set(v)))) equal(f23(u,complement(complement(singleton_set(v)))),v)**. % 299.97/300.34 98706[6:Res:9151.0,10857.1] || equal(successor(f23(complement(complement(infinity)),u)),universal_set)** -> disjoint(complement(complement(infinity)),u). % 299.97/300.34 98707[0:Res:9151.0,76.0] || -> disjoint(complement(complement(powerset(u))),v) subset(f23(complement(complement(powerset(u))),v),u)*. % 299.97/300.34 98708[0:Res:9151.0,1444.0] || -> disjoint(complement(complement(singleton_set(u))),v) equal(f23(complement(complement(singleton_set(u))),v),u)**. % 299.97/300.34 99187[16:Res:120.1,98786.1] || member(a,apply(u,v)) disjoint(set_b,second(f28(a,u,v)))* -> . % 299.97/300.34 99188[16:Res:33.2,98786.1] || member(a,u) member(a,v) disjoint(set_b,intersection(v,u))* -> . % 299.97/300.34 99439[3:MRR:99280.0,6160.1] || member(u,v)* disjoint(v,converse(complement(w)))* -> member(u,converse(w))*. % 299.97/300.34 99441[16:MRR:99326.0,55071.1] || disjoint(converse(complement(u)),v) -> member(f24(v),converse(u))* equal(v,a). % 299.97/300.34 99449[16:MRR:99313.0,55071.1] || -> member(f24(complement(converse(complement(u)))),converse(u))* equal(complement(converse(complement(u))),a). % 299.97/300.34 99607[0:Res:22366.2,20288.0] ordered_pair_predicate(u) || member(set_b,f2(u)) disjoint(first(u),first(u))* -> . % 299.97/300.34 99609[0:Res:22366.2,20289.0] ordered_pair_predicate(u) || member(set_a,f2(u)) disjoint(first(u),first(u))* -> . % 299.97/300.34 99611[2:Res:22366.2,20309.0] ordered_pair_predicate(u) || member(infinity,f2(u)) disjoint(first(u),first(u))* -> . % 299.97/300.34 99622[16:Res:22366.2,55177.0] ordered_pair_predicate(u) || member(sigma(infinity),f2(u))* -> member(a,sigma(first(u))). % 299.97/300.34 99626[16:Res:22366.2,58845.0] ordered_pair_predicate(u) || member(singleton_set(a),f2(u))* -> member(a,sigma(first(u))). % 299.97/300.34 99627[16:Res:22366.2,58846.0] ordered_pair_predicate(u) || member(successor(a),f2(u))* -> member(a,sigma(first(u))). % 299.97/300.34 99640[16:Res:22366.2,55400.0] ordered_pair_predicate(u) || member(powerset(v),f2(u))* -> member(a,sigma(first(u))). % 299.97/300.34 99801[0:Res:22612.2,20288.0] ordered_pair_predicate(u) || member(set_b,f3(u)) disjoint(second(u),second(u))* -> . % 299.97/300.34 99803[0:Res:22612.2,20289.0] ordered_pair_predicate(u) || member(set_a,f3(u)) disjoint(second(u),second(u))* -> . % 299.97/300.34 99805[2:Res:22612.2,20309.0] ordered_pair_predicate(u) || member(infinity,f3(u)) disjoint(second(u),second(u))* -> . % 299.97/300.34 99816[16:Res:22612.2,55177.0] ordered_pair_predicate(u) || member(sigma(infinity),f3(u))* -> member(a,sigma(second(u))). % 299.97/300.34 99820[16:Res:22612.2,58845.0] ordered_pair_predicate(u) || member(singleton_set(a),f3(u))* -> member(a,sigma(second(u))). % 299.97/300.34 99821[16:Res:22612.2,58846.0] ordered_pair_predicate(u) || member(successor(a),f3(u))* -> member(a,sigma(second(u))). % 299.97/300.34 99834[16:Res:22612.2,55400.0] ordered_pair_predicate(u) || member(powerset(v),f3(u))* -> member(a,sigma(second(u))). % 299.97/300.34 99936[2:MRR:99888.0,117.1] || member(u,f3(f28(v,w,u)))* member(v,apply(w,u)) -> . % 299.97/300.34 100006[16:Res:59019.2,10857.1] || subset(u,infinity) equal(successor(f1(u,a)),universal_set)** -> equal(u,a). % 299.97/300.34 100009[16:Res:59019.2,34.1] || subset(u,complement(v)) member(f1(u,a),v)* -> equal(u,a). % 299.97/300.34 100010[16:Res:59019.2,10964.0] || subset(u,complement(complement(v)))* -> equal(u,a) member(f1(u,a),v). % 299.97/300.34 100019[16:Res:59019.2,31.0] || subset(u,intersection(v,w))* -> equal(u,a) member(f1(u,a),v). % 299.97/300.34 100020[16:Res:59019.2,32.0] || subset(u,intersection(v,w))* -> equal(u,a) member(f1(u,a),w). % 299.97/300.34 100022[16:Res:59019.2,15955.0] || subset(u,sigma(powerset(v)))* -> equal(u,a) member(f1(u,a),v). % 299.97/300.34 100026[16:Res:59019.2,282.0] || subset(u,restrict(v,w))* -> equal(u,a) member(f1(u,a),v). % 299.97/300.34 100139[0:Res:98305.0,4259.0] || -> member(u,f1(powerset(complement(singleton_set(u))),universal_set))* equal(powerset(complement(singleton_set(u))),universal_set). % 299.97/300.34 100173[0:Res:98305.0,684.0] || -> member(u,f17(v,powerset(complement(singleton_set(u)))))* subset(v,powerset(complement(singleton_set(u)))). % 299.97/300.34 100403[16:Res:561.1,56166.0] || closed(singleton_set(u),v)* -> equal(range_of(v),a) equal(f24(range_of(v)),u). % 299.97/300.34 100510[16:Res:11550.1,56168.1] || subset(sigma(u),v)* member(complement(v),u) -> equal(complement(v),a). % 299.97/300.34 100619[16:Res:59021.2,10857.1] || subset(u,infinity) equal(successor(f1(a,u)),universal_set)** -> equal(a,u). % 299.97/300.34 100622[16:Res:59021.2,34.1] || subset(u,complement(v)) member(f1(a,u),v)* -> equal(a,u). % 299.97/300.34 100623[16:Res:59021.2,10964.0] || subset(u,complement(complement(v)))* -> equal(a,u) member(f1(a,u),v). % 299.97/300.34 100632[16:Res:59021.2,31.0] || subset(u,intersection(v,w))* -> equal(a,u) member(f1(a,u),v). % 299.97/300.34 100633[16:Res:59021.2,32.0] || subset(u,intersection(v,w))* -> equal(a,u) member(f1(a,u),w). % 299.97/300.34 100635[16:Res:59021.2,15955.0] || subset(u,sigma(powerset(v)))* -> equal(a,u) member(f1(a,u),v). % 299.97/300.34 100639[16:Res:59021.2,282.0] || subset(u,restrict(v,w))* -> equal(a,u) member(f1(a,u),v). % 299.97/300.34 100779[16:Res:59048.1,10857.1] || equal(successor(f1(intersection(infinity,u),a)),universal_set)** -> equal(intersection(infinity,u),a). % 299.97/300.34 100780[16:Res:59048.1,76.0] || -> equal(intersection(powerset(u),v),a) subset(f1(intersection(powerset(u),v),a),u)*. % 299.97/300.34 100781[16:Res:59048.1,1444.0] || -> equal(intersection(singleton_set(u),v),a) equal(f1(intersection(singleton_set(u),v),a),u)**. % 299.97/300.34 100896[16:Res:59049.1,10857.1] || equal(successor(f1(intersection(u,infinity),a)),universal_set)** -> equal(intersection(u,infinity),a). % 299.97/300.34 100897[16:Res:59049.1,76.0] || -> equal(intersection(u,powerset(v)),a) subset(f1(intersection(u,powerset(v)),a),v)*. % 299.97/300.34 100898[16:Res:59049.1,1444.0] || -> equal(intersection(u,singleton_set(v)),a) equal(f1(intersection(u,singleton_set(v)),a),v)**. % 299.97/300.34 100997[16:Res:59050.1,10857.1] || equal(successor(f1(a,intersection(infinity,u))),universal_set)** -> equal(intersection(infinity,u),a). % 299.97/300.34 100998[16:Res:59050.1,76.0] || -> equal(intersection(powerset(u),v),a) subset(f1(a,intersection(powerset(u),v)),u)*. % 299.97/300.34 100999[16:Res:59050.1,1444.0] || -> equal(intersection(singleton_set(u),v),a) equal(f1(a,intersection(singleton_set(u),v)),u)**. % 299.97/300.34 101050[16:MRR:101049.0,55057.0] || -> equal(intersection(u,v),a) member(f1(a,intersection(u,v)),intersection(u,v))*. % 299.97/300.34 101136[16:Res:59051.1,10857.1] || equal(successor(f1(a,intersection(u,infinity))),universal_set)** -> equal(intersection(u,infinity),a). % 299.97/300.34 101137[16:Res:59051.1,76.0] || -> equal(intersection(u,powerset(v)),a) subset(f1(a,intersection(u,powerset(v))),v)*. % 299.97/300.34 101138[16:Res:59051.1,1444.0] || -> equal(intersection(u,singleton_set(v)),a) equal(f1(a,intersection(u,singleton_set(v))),v)**. % 299.97/300.34 101330[16:Res:59052.1,10857.1] || equal(successor(f1(restrict(infinity,u),a)),universal_set)** -> equal(restrict(infinity,u),a). % 299.97/300.34 101331[16:Res:59052.1,76.0] || -> equal(restrict(powerset(u),v),a) subset(f1(restrict(powerset(u),v),a),u)*. % 299.97/300.34 101332[16:Res:59052.1,1444.0] || -> equal(restrict(singleton_set(u),v),a) equal(f1(restrict(singleton_set(u),v),a),u)**. % 299.97/300.34 101469[16:Res:120.1,101072.1] || member(a,apply(u,v)) disjoint(set_a,second(f28(a,u,v)))* -> . % 299.97/300.34 101470[16:Res:33.2,101072.1] || member(a,u) member(a,v) disjoint(set_a,intersection(v,u))* -> . % 299.97/300.34 101590[16:Res:59053.1,10857.1] || equal(successor(f1(a,restrict(infinity,u))),universal_set)** -> equal(restrict(infinity,u),a). % 299.97/300.34 101591[16:Res:59053.1,76.0] || -> equal(restrict(powerset(u),v),a) subset(f1(a,restrict(powerset(u),v)),u)*. % 299.97/300.34 101592[16:Res:59053.1,1444.0] || -> equal(restrict(singleton_set(u),v),a) equal(f1(a,restrict(singleton_set(u),v)),u)**. % 299.97/300.34 101640[16:MRR:101639.0,55057.0] || -> equal(restrict(u,v),a) member(f1(a,restrict(u,v)),restrict(u,v))*. % 299.97/300.34 101719[16:Res:57867.1,10857.1] || disjoint(complement(infinity),u)* equal(successor(f24(u)),universal_set) -> equal(u,a). % 299.97/300.34 101722[16:Res:57867.1,34.1] || disjoint(complement(complement(u)),v)* member(f24(v),u) -> equal(v,a). % 299.97/300.34 101723[16:Res:57867.1,10964.0] || disjoint(complement(complement(complement(u))),v)* -> equal(v,a) member(f24(v),u). % 299.97/300.34 101732[16:Res:57867.1,31.0] || disjoint(complement(intersection(u,v)),w)* -> equal(w,a) member(f24(w),u). % 299.97/300.34 101733[16:Res:57867.1,32.0] || disjoint(complement(intersection(u,v)),w)* -> equal(w,a) member(f24(w),v). % 299.97/300.34 101735[16:Res:57867.1,15955.0] || disjoint(complement(sigma(powerset(u))),v)* -> equal(v,a) member(f24(v),u). % 299.97/300.34 101739[16:Res:57867.1,282.0] || disjoint(complement(restrict(u,v)),w)* -> equal(w,a) member(f24(w),u). % 299.97/300.34 101860[6:Res:3813.2,10857.1] || disjoint(u,universal_set) equal(successor(f1(infinity,u)),universal_set)** -> equal(infinity,u). % 299.97/300.34 101862[0:Res:3813.2,1444.0] || disjoint(u,universal_set) -> equal(singleton_set(v),u) equal(f1(singleton_set(v),u),v)**. % 299.97/300.34 101994[6:Res:3831.2,10857.1] || disjoint(u,universal_set) equal(successor(f1(u,infinity)),universal_set)** -> equal(u,infinity). % 299.97/300.34 101996[0:Res:3831.2,1444.0] || disjoint(u,universal_set) -> equal(u,singleton_set(v)) equal(f1(u,singleton_set(v)),v)**. % 299.97/300.34 102106[6:EmS:10805.0,13289.1] || equal(second(f23(cross_product(u,v),w)),universal_set)** -> disjoint(cross_product(u,v),w). % 299.97/300.34 102245[6:EmS:10805.0,13332.1] || equal(second(f23(u,cross_product(v,w))),universal_set)** -> disjoint(u,cross_product(v,w)). % 299.97/300.34 102327[6:EmS:10805.0,13406.1] || equal(first(f23(cross_product(u,v),w)),universal_set)** -> disjoint(cross_product(u,v),w). % 299.97/300.34 102600[16:Res:120.1,102359.1] || member(a,apply(u,v)) disjoint(infinity,second(f28(a,u,v)))* -> . % 299.97/300.34 102601[16:Res:33.2,102359.1] || member(a,u) member(a,v) disjoint(infinity,intersection(v,u))* -> . % 299.97/300.34 102673[6:EmS:10805.0,13484.1] || equal(first(f23(u,cross_product(v,w))),universal_set)** -> disjoint(u,cross_product(v,w)). % 299.97/300.34 102790[6:EmS:10805.0,13625.1] || equal(second(f17(cross_product(u,v),w)),universal_set)** -> subset(cross_product(u,v),w). % 299.97/300.34 102899[6:EmS:10805.0,13688.1] || equal(first(f17(cross_product(u,v),w)),universal_set)** -> subset(cross_product(u,v),w). % 299.97/300.34 103128[0:Res:14150.1,14044.1] || disjoint(u,sigma(v))* member(w,v)* -> disjoint(w,intersection(u,x))*. % 299.97/300.34 103129[0:Res:14152.1,14044.1] || disjoint(u,sigma(v))* member(w,v)* -> disjoint(w,intersection(x,u))*. % 299.97/300.34 103130[0:Res:13941.1,14044.1] || member(sigma(u),v)* member(w,u)* -> disjoint(w,complement(sigma(v)))*. % 299.97/300.34 103131[0:Res:17289.1,14044.1] || disjoint(u,sigma(v))* member(w,v)* -> disjoint(w,restrict(u,x))*. % 299.97/300.34 103136[16:Res:55528.1,14044.1] || member(u,v) -> equal(singleton_set(sigma(v)),a) disjoint(u,singleton_set(sigma(v)))*. % 299.97/300.34 103225[3:Res:22366.2,88258.0] ordered_pair_predicate(u) || member(singleton_set(infinity),f2(u))* -> member(infinity,sigma(first(u))). % 299.97/300.34 103226[3:Res:22612.2,88258.0] ordered_pair_predicate(u) || member(singleton_set(infinity),f3(u))* -> member(infinity,sigma(second(u))). % 299.97/300.34 103245[3:SSi:103211.0,150.0,63.0,15957.0] || -> member(singleton_set(infinity),union(u,v)) member(infinity,sigma(intersection(complement(u),complement(v))))*. % 299.97/300.34 103252[3:SpR:36.0,88325.1] || disjoint(intersection(complement(u),complement(v)),singleton_set(infinity))* -> member(infinity,union(u,v)). % 299.97/300.34 103263[3:Res:88325.1,98.0] || disjoint(u,singleton_set(infinity))* member(infinity,v) disjoint(v,complement(u))* -> . % 299.97/300.34 103264[3:Res:88325.1,68.0] || disjoint(u,singleton_set(infinity)) member(complement(u),v)* -> member(infinity,sigma(v)). % 299.97/300.34 103275[16:SpR:36.0,88503.0] || -> member(a,complement(singleton_set(union(u,v)))) member(infinity,intersection(complement(u),complement(v)))*. % 299.97/300.34 103291[16:Res:88503.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(complement(v))))* -> member(infinity,v). % 299.97/300.34 103292[16:Res:88503.0,68.0] || member(complement(singleton_set(complement(u))),v)* -> member(infinity,u) member(a,sigma(v)). % 299.97/300.34 103323[16:Res:88615.0,98.0] || member(a,u) disjoint(u,complement(singleton_set(v)))* -> member(infinity,complement(v)). % 299.97/300.34 103324[16:Res:88615.0,68.0] || member(complement(singleton_set(u)),v)* -> member(infinity,complement(u)) member(a,sigma(v)). % 299.97/300.34 103449[0:Res:14150.1,14154.1] || disjoint(u,sigma(v))* member(w,v)* -> disjoint(intersection(u,x),w)*. % 299.97/300.34 103450[0:Res:14152.1,14154.1] || disjoint(u,sigma(v))* member(w,v)* -> disjoint(intersection(x,u),w)*. % 299.97/300.34 103451[0:Res:13941.1,14154.1] || member(sigma(u),v)* member(w,u)* -> disjoint(complement(sigma(v)),w)*. % 299.97/300.34 103452[0:Res:17289.1,14154.1] || disjoint(u,sigma(v))* member(w,v)* -> disjoint(restrict(u,x),w)*. % 299.97/300.34 103457[16:Res:55528.1,14154.1] || member(u,v) -> equal(singleton_set(sigma(v)),a) disjoint(singleton_set(sigma(v)),u)*. % 299.97/300.34 103548[7:Res:33376.1,16184.0] || member(universal_set,powerset(domain_of(intersection(cross_product(u,v),w))))* -> member(sigma(infinity),u). % 299.97/300.34 103549[7:Res:26831.1,16184.0] || disjoint(complement(domain_of(intersection(cross_product(u,v),w))),universal_set)* -> member(sigma(infinity),u). % 299.97/300.34 103550[7:Res:26830.1,16184.0] || disjoint(universal_set,complement(domain_of(intersection(cross_product(u,v),w))))* -> member(sigma(infinity),u). % 299.97/300.34 103558[16:Res:56367.1,16184.0] || member(universal_set,powerset(domain_of(intersection(cross_product(u,v),w))))* -> member(singleton_set(a),u). % 299.97/300.34 103559[16:Res:56366.1,16184.0] || disjoint(complement(domain_of(intersection(cross_product(u,v),w))),universal_set)* -> member(singleton_set(a),u). % 299.97/300.34 103560[16:Res:56365.1,16184.0] || disjoint(universal_set,complement(domain_of(intersection(cross_product(u,v),w))))* -> member(singleton_set(a),u). % 299.97/300.34 103562[16:Res:56728.1,16184.0] || member(universal_set,powerset(domain_of(intersection(cross_product(u,v),w))))* -> member(powerset(a),u). % 299.97/300.34 103563[16:Res:56727.1,16184.0] || disjoint(complement(domain_of(intersection(cross_product(u,v),w))),universal_set)* -> member(powerset(a),u). % 299.97/300.34 103564[16:Res:56726.1,16184.0] || disjoint(universal_set,complement(domain_of(intersection(cross_product(u,v),w))))* -> member(powerset(a),u). % 299.97/300.34 103656[14:Res:42571.1,16184.0] || subset(universal_set,domain_of(intersection(cross_product(u,v),w)))* -> member(ordered_pair(universal_set,x),u)*. % 299.97/300.34 103790[7:Res:33376.1,16416.0] || member(universal_set,powerset(domain_of(intersection(u,cross_product(v,w)))))* -> member(sigma(infinity),v). % 299.97/300.34 103791[7:Res:26831.1,16416.0] || disjoint(complement(domain_of(intersection(u,cross_product(v,w)))),universal_set)* -> member(sigma(infinity),v). % 299.97/300.34 103792[7:Res:26830.1,16416.0] || disjoint(universal_set,complement(domain_of(intersection(u,cross_product(v,w)))))* -> member(sigma(infinity),v). % 299.97/300.34 103800[16:Res:56367.1,16416.0] || member(universal_set,powerset(domain_of(intersection(u,cross_product(v,w)))))* -> member(singleton_set(a),v). % 299.97/300.34 103801[16:Res:56366.1,16416.0] || disjoint(complement(domain_of(intersection(u,cross_product(v,w)))),universal_set)* -> member(singleton_set(a),v). % 299.97/300.34 103802[16:Res:56365.1,16416.0] || disjoint(universal_set,complement(domain_of(intersection(u,cross_product(v,w)))))* -> member(singleton_set(a),v). % 299.97/300.34 103804[16:Res:56728.1,16416.0] || member(universal_set,powerset(domain_of(intersection(u,cross_product(v,w)))))* -> member(powerset(a),v). % 299.97/300.34 103805[16:Res:56727.1,16416.0] || disjoint(complement(domain_of(intersection(u,cross_product(v,w)))),universal_set)* -> member(powerset(a),v). % 299.97/300.34 103806[16:Res:56726.1,16416.0] || disjoint(universal_set,complement(domain_of(intersection(u,cross_product(v,w)))))* -> member(powerset(a),v). % 299.97/300.34 103898[14:Res:42571.1,16416.0] || subset(universal_set,domain_of(intersection(u,cross_product(v,w))))* -> member(ordered_pair(universal_set,x),v)*. % 299.97/300.34 104035[7:Res:33376.1,17439.0] || member(universal_set,powerset(range_of(intersection(cross_product(u,v),w))))* -> member(sigma(infinity),v). % 299.97/300.34 104036[7:Res:26831.1,17439.0] || disjoint(complement(range_of(intersection(cross_product(u,v),w))),universal_set)* -> member(sigma(infinity),v). % 299.97/300.34 104037[7:Res:26830.1,17439.0] || disjoint(universal_set,complement(range_of(intersection(cross_product(u,v),w))))* -> member(sigma(infinity),v). % 299.97/300.34 104045[16:Res:56367.1,17439.0] || member(universal_set,powerset(range_of(intersection(cross_product(u,v),w))))* -> member(singleton_set(a),v). % 299.97/300.34 104046[16:Res:56366.1,17439.0] || disjoint(complement(range_of(intersection(cross_product(u,v),w))),universal_set)* -> member(singleton_set(a),v). % 299.97/300.34 104047[16:Res:56365.1,17439.0] || disjoint(universal_set,complement(range_of(intersection(cross_product(u,v),w))))* -> member(singleton_set(a),v). % 299.97/300.34 104049[16:Res:56728.1,17439.0] || member(universal_set,powerset(range_of(intersection(cross_product(u,v),w))))* -> member(powerset(a),v). % 299.97/300.34 104050[16:Res:56727.1,17439.0] || disjoint(complement(range_of(intersection(cross_product(u,v),w))),universal_set)* -> member(powerset(a),v). % 299.97/300.34 104051[16:Res:56726.1,17439.0] || disjoint(universal_set,complement(range_of(intersection(cross_product(u,v),w))))* -> member(powerset(a),v). % 299.97/300.34 104143[14:Res:42571.1,17439.0] || subset(universal_set,range_of(intersection(cross_product(u,v),w)))* -> member(ordered_pair(universal_set,x),v)*. % 299.97/300.34 104312[7:Res:33376.1,17546.0] || member(universal_set,powerset(range_of(intersection(u,cross_product(v,w)))))* -> member(sigma(infinity),w). % 299.97/300.34 104313[7:Res:26831.1,17546.0] || disjoint(complement(range_of(intersection(u,cross_product(v,w)))),universal_set)* -> member(sigma(infinity),w). % 299.97/300.34 104314[7:Res:26830.1,17546.0] || disjoint(universal_set,complement(range_of(intersection(u,cross_product(v,w)))))* -> member(sigma(infinity),w). % 299.97/300.34 104322[16:Res:56367.1,17546.0] || member(universal_set,powerset(range_of(intersection(u,cross_product(v,w)))))* -> member(singleton_set(a),w). % 299.97/300.34 104323[16:Res:56366.1,17546.0] || disjoint(complement(range_of(intersection(u,cross_product(v,w)))),universal_set)* -> member(singleton_set(a),w). % 299.97/300.34 104324[16:Res:56365.1,17546.0] || disjoint(universal_set,complement(range_of(intersection(u,cross_product(v,w)))))* -> member(singleton_set(a),w). % 299.97/300.34 104326[16:Res:56728.1,17546.0] || member(universal_set,powerset(range_of(intersection(u,cross_product(v,w)))))* -> member(powerset(a),w). % 299.97/300.34 104327[16:Res:56727.1,17546.0] || disjoint(complement(range_of(intersection(u,cross_product(v,w)))),universal_set)* -> member(powerset(a),w). % 299.97/300.34 104328[16:Res:56726.1,17546.0] || disjoint(universal_set,complement(range_of(intersection(u,cross_product(v,w)))))* -> member(powerset(a),w). % 299.97/300.34 104420[14:Res:42571.1,17546.0] || subset(universal_set,range_of(intersection(u,cross_product(v,w))))* -> member(ordered_pair(universal_set,x),w)*. % 299.97/300.34 104704[0:MRR:104554.0,4.1] || member(u,v)* disjoint(v,union(w,x))* -> member(u,complement(w))*. % 299.97/300.34 104706[16:MRR:104599.0,55070.1] || disjoint(union(u,v),w)* -> member(f24(w),complement(u))* equal(w,a). % 299.97/300.34 104715[16:MRR:104585.0,55070.1] || -> member(f24(complement(union(u,v))),complement(u))* equal(complement(union(u,v)),a). % 299.97/300.34 105050[0:MRR:104898.0,4.1] || member(u,v)* disjoint(v,union(w,x))* -> member(u,complement(x))*. % 299.97/300.34 105052[16:MRR:104943.0,55070.1] || disjoint(union(u,v),w)* -> member(f24(w),complement(v))* equal(w,a). % 299.97/300.34 105061[16:MRR:104929.0,55070.1] || -> member(f24(complement(union(u,v))),complement(v))* equal(complement(union(u,v)),a). % 299.97/300.34 105265[7:Res:33376.1,26698.0] || member(universal_set,powerset(apply(cross_product(u,v),w)))* -> member(sigma(infinity),sigma(v)). % 299.97/300.34 105266[7:Res:26831.1,26698.0] || disjoint(complement(apply(cross_product(u,v),w)),universal_set)* -> member(sigma(infinity),sigma(v)). % 299.97/300.34 105267[7:Res:26830.1,26698.0] || disjoint(universal_set,complement(apply(cross_product(u,v),w)))* -> member(sigma(infinity),sigma(v)). % 299.97/300.34 105275[16:Res:56367.1,26698.0] || member(universal_set,powerset(apply(cross_product(u,v),w)))* -> member(singleton_set(a),sigma(v)). % 299.97/300.34 105276[16:Res:56366.1,26698.0] || disjoint(complement(apply(cross_product(u,v),w)),universal_set)* -> member(singleton_set(a),sigma(v)). % 299.97/300.34 105277[16:Res:56365.1,26698.0] || disjoint(universal_set,complement(apply(cross_product(u,v),w)))* -> member(singleton_set(a),sigma(v)). % 299.97/300.34 105279[16:Res:56728.1,26698.0] || member(universal_set,powerset(apply(cross_product(u,v),w)))* -> member(powerset(a),sigma(v)). % 299.97/300.34 105280[16:Res:56727.1,26698.0] || disjoint(complement(apply(cross_product(u,v),w)),universal_set)* -> member(powerset(a),sigma(v)). % 299.97/300.34 105281[16:Res:56726.1,26698.0] || disjoint(universal_set,complement(apply(cross_product(u,v),w)))* -> member(powerset(a),sigma(v)). % 299.97/300.34 105373[14:Res:42571.1,26698.0] || subset(universal_set,apply(cross_product(u,v),w))* -> member(ordered_pair(universal_set,x),sigma(v))*. % 299.97/300.34 294[0:Res:87.1,282.0] || -> single_valued_set(restrict(u,v)) member(ordered_pair(f19(restrict(u,v)),f21(restrict(u,v))),u)*. % 299.97/300.34 295[0:Res:86.1,282.0] || -> single_valued_set(restrict(u,v)) member(ordered_pair(f19(restrict(u,v)),f20(restrict(u,v))),u)*. % 299.97/300.34 626[0:Res:395.0,42.0] || -> subset(u,complement(cross_product(v,w))) member(first(f17(u,complement(cross_product(v,w)))),v)*. % 299.97/300.34 627[0:Res:395.0,43.0] || -> subset(u,complement(cross_product(v,w))) member(second(f17(u,complement(cross_product(v,w)))),w)*. % 299.97/300.34 1222[0:Res:395.0,98.0] || member(f17(u,complement(v)),w)* disjoint(w,v) -> subset(u,complement(v)). % 299.97/300.34 1158[0:Res:395.0,68.0] || member(u,v) -> subset(w,complement(u)) member(f17(w,complement(u)),sigma(v))*. % 299.97/300.34 1017[0:Res:46.1,547.0] || member(u,converse(range_of(cross_product(v,w))))* -> member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.34 1018[0:Res:46.1,560.0] || member(u,converse(domain_of(cross_product(v,w))))* -> member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.34 3719[0:Res:94.1,1444.0] || member(u,image(singleton_set(v),w)) -> equal(first(f22(u,singleton_set(v),w)),v)**. % 299.97/300.34 5387[0:Res:4258.0,98.0] || member(f1(complement(u),universal_set),v)* disjoint(v,u) -> equal(complement(u),universal_set). % 299.97/300.34 5388[0:Res:4258.0,68.0] || member(u,v) -> equal(complement(u),universal_set) member(f1(complement(u),universal_set),sigma(v))*. % 299.97/300.34 5394[0:Res:4258.0,42.0] || -> equal(complement(cross_product(u,v)),universal_set) member(first(f1(complement(cross_product(u,v)),universal_set)),u)*. % 299.97/300.34 5395[0:Res:4258.0,43.0] || -> equal(complement(cross_product(u,v)),universal_set) member(second(f1(complement(cross_product(u,v)),universal_set)),v)*. % 299.97/300.34 8093[0:MRR:8066.0,213.1] || equal(f17(complement(non_ordered_pair(u,v)),w),v)** -> subset(complement(non_ordered_pair(u,v)),w). % 299.97/300.34 8094[0:MRR:8065.0,213.1] || equal(f17(complement(non_ordered_pair(u,v)),w),u)** -> subset(complement(non_ordered_pair(u,v)),w). % 299.97/300.34 8186[0:Res:1079.2,70.0] little_set(u) || equal(u,v)* subset(singleton_set(v),w)* -> member(u,w)*. % 299.97/300.34 9086[0:MRR:9065.0,203.1] || equal(f23(u,complement(non_ordered_pair(v,w))),w)** -> disjoint(u,complement(non_ordered_pair(v,w))). % 299.97/300.34 9087[0:MRR:9064.0,203.1] || equal(f23(u,complement(non_ordered_pair(v,w))),v)** -> disjoint(u,complement(non_ordered_pair(v,w))). % 299.97/300.34 9155[0:MRR:9134.0,203.1] || equal(f23(complement(non_ordered_pair(u,v)),w),v)** -> disjoint(complement(non_ordered_pair(u,v)),w). % 299.97/300.34 9156[0:MRR:9133.0,203.1] || equal(f23(complement(non_ordered_pair(u,v)),w),u)** -> disjoint(complement(non_ordered_pair(u,v)),w). % 299.97/300.34 9211[0:Res:120.1,3940.0] || member(u,apply(v,w))* equal(x,f28(u,v,w))* -> ordered_pair_predicate(x)*. % 299.97/300.34 9409[0:Res:87.1,4549.0] || equal(u,ordered_pair(f19(flip_range_of(v)),f21(flip_range_of(v))))* -> single_valued_set(flip_range_of(v)) ordered_pair_predicate(u)*. % 299.97/300.34 9410[0:Res:86.1,4549.0] || equal(u,ordered_pair(f19(flip_range_of(v)),f20(flip_range_of(v))))* -> single_valued_set(flip_range_of(v)) ordered_pair_predicate(u)*. % 299.97/300.34 9415[0:Res:4258.0,4549.0] || equal(u,f1(complement(flip_range_of(v)),universal_set))* -> equal(complement(flip_range_of(v)),universal_set) ordered_pair_predicate(u)*. % 299.97/300.34 9418[0:Res:395.0,4549.0] || equal(u,f17(v,complement(flip_range_of(w))))* -> subset(v,complement(flip_range_of(w))) ordered_pair_predicate(u)*. % 299.97/300.34 9419[0:Res:38.1,4549.0] || member(u,domain_of(flip_range_of(v)))* equal(w,f8(u,flip_range_of(v)))* -> ordered_pair_predicate(w)*. % 299.97/300.34 9420[0:Res:66.1,4549.0] || member(u,sigma(flip_range_of(v)))* equal(w,f16(u,flip_range_of(v)))* -> ordered_pair_predicate(w)*. % 299.97/300.34 9421[0:Res:107.1,4549.0] || member(u,range_of(flip_range_of(v)))* equal(w,f27(u,flip_range_of(v)))* -> ordered_pair_predicate(w)*. % 299.97/300.34 9690[0:Res:87.1,4578.0] || equal(u,ordered_pair(f19(rotate_right(v)),f21(rotate_right(v))))* -> single_valued_set(rotate_right(v)) ordered_pair_predicate(u)*. % 299.97/300.34 9691[0:Res:86.1,4578.0] || equal(u,ordered_pair(f19(rotate_right(v)),f20(rotate_right(v))))* -> single_valued_set(rotate_right(v)) ordered_pair_predicate(u)*. % 299.97/300.34 9696[0:Res:4258.0,4578.0] || equal(u,f1(complement(rotate_right(v)),universal_set))* -> equal(complement(rotate_right(v)),universal_set) ordered_pair_predicate(u)*. % 299.97/300.34 9699[0:Res:395.0,4578.0] || equal(u,f17(v,complement(rotate_right(w))))* -> subset(v,complement(rotate_right(w))) ordered_pair_predicate(u)*. % 299.97/300.34 9700[0:Res:38.1,4578.0] || member(u,domain_of(rotate_right(v)))* equal(w,f8(u,rotate_right(v)))* -> ordered_pair_predicate(w)*. % 299.97/300.34 9701[0:Res:66.1,4578.0] || member(u,sigma(rotate_right(v)))* equal(w,f16(u,rotate_right(v)))* -> ordered_pair_predicate(w)*. % 299.97/300.34 9702[0:Res:107.1,4578.0] || member(u,range_of(rotate_right(v)))* equal(w,f27(u,rotate_right(v)))* -> ordered_pair_predicate(w)*. % 299.97/300.34 10228[0:Res:960.2,42.0] || member(u,infinity) subset(infinity,cross_product(v,w))* -> member(first(successor(u)),v)*. % 299.97/300.34 10229[0:Res:960.2,43.0] || member(u,infinity) subset(infinity,cross_product(v,w))* -> member(second(successor(u)),w)*. % 299.97/300.34 10237[0:Res:960.2,560.0] || member(u,infinity) subset(infinity,domain_of(cross_product(v,w)))* -> member(successor(u),v)*. % 299.97/300.34 10238[0:Res:960.2,547.0] || member(u,infinity) subset(infinity,range_of(cross_product(v,w)))* -> member(successor(u),w)*. % 299.97/300.34 11100[0:Res:71.1,4238.0] || equal(u,f17(compose(v,w),x))* -> subset(compose(v,w),x) ordered_pair_predicate(u)*. % 299.97/300.34 11101[0:Res:99.1,4238.0] || equal(u,f23(compose(v,w),x))* -> disjoint(compose(v,w),x) ordered_pair_predicate(u)*. % 299.97/300.34 11110[0:Res:100.1,4238.0] || equal(u,f23(v,compose(w,x)))* -> disjoint(v,compose(w,x)) ordered_pair_predicate(u)*. % 299.97/300.34 11235[0:Res:278.1,34.1] || member(f17(intersection(u,complement(v)),w),v)* -> subset(intersection(u,complement(v)),w). % 299.97/300.34 11293[0:Res:286.1,34.1] || member(f17(intersection(complement(u),v),w),u)* -> subset(intersection(complement(u),v),w). % 299.97/300.34 11334[0:Res:955.2,42.0] || subset(u,cross_product(v,w))* -> subset(u,x) member(first(f17(u,x)),v)*. % 299.97/300.34 11335[0:Res:955.2,43.0] || subset(u,cross_product(v,w))* -> subset(u,x) member(second(f17(u,x)),w)*. % 299.97/300.34 11344[0:Res:955.2,560.0] || subset(u,domain_of(cross_product(v,w)))* -> subset(u,x) member(f17(u,x),v)*. % 299.97/300.34 11345[0:Res:955.2,547.0] || subset(u,range_of(cross_product(v,w)))* -> subset(u,x) member(f17(u,x),w)*. % 299.97/300.34 11416[0:Res:961.2,42.0] || subset(u,cross_product(v,w))* -> disjoint(x,u) member(first(f23(x,u)),v)*. % 299.97/300.34 11417[0:Res:961.2,43.0] || subset(u,cross_product(v,w))* -> disjoint(x,u) member(second(f23(x,u)),w)*. % 299.97/300.34 11426[0:Res:961.2,560.0] || subset(u,domain_of(cross_product(v,w)))* -> disjoint(x,u) member(f23(x,u),v)*. % 299.97/300.34 11427[0:Res:961.2,547.0] || subset(u,range_of(cross_product(v,w)))* -> disjoint(x,u) member(f23(x,u),w)*. % 299.97/300.34 11529[0:Res:954.2,42.0] || subset(u,cross_product(v,w))* -> disjoint(u,x) member(first(f23(u,x)),v)*. % 299.97/300.34 11530[0:Res:954.2,43.0] || subset(u,cross_product(v,w))* -> disjoint(u,x) member(second(f23(u,x)),w)*. % 299.97/300.34 11539[0:Res:954.2,560.0] || subset(u,domain_of(cross_product(v,w)))* -> disjoint(u,x) member(f23(u,x),v)*. % 299.97/300.34 11540[0:Res:954.2,547.0] || subset(u,range_of(cross_product(v,w)))* -> disjoint(u,x) member(f23(u,x),w)*. % 299.97/300.34 11625[0:Res:285.1,34.1] || member(f23(intersection(complement(u),v),w),u)* -> disjoint(intersection(complement(u),v),w). % 299.97/300.34 11719[0:Res:289.1,34.1] || member(f23(u,intersection(complement(v),w)),v)* -> disjoint(u,intersection(complement(v),w)). % 299.97/300.34 11817[0:Res:277.1,34.1] || member(f23(intersection(u,complement(v)),w),v)* -> disjoint(intersection(u,complement(v)),w). % 299.97/300.34 11978[0:Res:281.1,34.1] || member(f23(u,intersection(v,complement(w))),w)* -> disjoint(u,intersection(v,complement(w))). % 299.97/300.34 12063[0:SSi:12048.0,371.0] || -> member(ordered_pair(f19(complement(complement(u))),f21(complement(complement(u)))),u)* single_valued_set(complement(complement(u))). % 299.97/300.34 12133[0:SSi:12118.0,371.0] || -> member(ordered_pair(f19(complement(complement(u))),f20(complement(complement(u)))),u)* single_valued_set(complement(complement(u))). % 299.97/300.34 12190[6:Res:6.2,10857.1] || equal(successor(f1(infinity,u)),universal_set) -> equal(infinity,u) member(f1(infinity,u),u)*. % 299.97/300.34 12195[6:Res:94.1,10857.1] || member(u,image(infinity,v)) equal(successor(first(f22(u,infinity,v))),universal_set)** -> . % 299.97/300.34 12208[6:Res:6.1,10857.1] || equal(successor(f1(u,infinity)),universal_set) -> equal(u,infinity) member(f1(u,infinity),u)*. % 299.97/300.34 12290[0:MRR:12266.0,197.1] || equal(successor(u),v)* member(u,infinity)* disjoint(non_ordered_pair(v,w),infinity)* -> . % 299.97/300.34 12291[0:MRR:12267.0,197.1] || equal(successor(u),v)* member(u,infinity)* disjoint(non_ordered_pair(w,v),infinity)* -> . % 299.97/300.34 12368[0:MRR:12357.0,487.1] || equal(f8(u,complement(singleton_set(v))),v) member(u,domain_of(complement(singleton_set(v))))* -> . % 299.97/300.34 12369[0:MRR:12356.0,487.1] || subset(f8(u,complement(powerset(v))),v)* member(u,domain_of(complement(powerset(v)))) -> . % 299.97/300.34 12420[0:MRR:12409.0,449.1] || equal(f16(u,complement(singleton_set(v))),v) member(u,sigma(complement(singleton_set(v))))* -> . % 299.97/300.34 12421[0:MRR:12408.0,449.1] || subset(f16(u,complement(powerset(v))),v)* member(u,sigma(complement(powerset(v)))) -> . % 299.97/300.34 12469[0:MRR:12458.0,420.1] || equal(f27(u,complement(singleton_set(v))),v) member(u,range_of(complement(singleton_set(v))))* -> . % 299.97/300.34 12470[0:MRR:12457.0,420.1] || subset(f27(u,complement(powerset(v))),v)* member(u,range_of(complement(powerset(v)))) -> . % 299.97/300.34 12901[6:Res:956.2,10857.1] || subset(u,infinity) equal(successor(ordered_pair(f19(u),f21(u))),universal_set)** -> single_valued_set(u). % 299.97/300.34 12904[0:Res:956.2,34.1] || subset(u,complement(v)) member(ordered_pair(f19(u),f21(u)),v)* -> single_valued_set(u). % 299.97/300.34 12908[0:Res:956.2,31.0] || subset(u,intersection(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.34 12909[0:Res:956.2,32.0] || subset(u,intersection(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),w)*. % 299.97/300.34 12911[0:Res:956.2,282.0] || subset(u,restrict(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.34 13016[6:Res:957.2,10857.1] || subset(u,infinity) equal(successor(ordered_pair(f19(u),f20(u))),universal_set)** -> single_valued_set(u). % 299.97/300.34 13019[0:Res:957.2,34.1] || subset(u,complement(v)) member(ordered_pair(f19(u),f20(u)),v)* -> single_valued_set(u). % 299.97/300.34 13023[0:Res:957.2,31.0] || subset(u,intersection(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.34 13024[0:Res:957.2,32.0] || subset(u,intersection(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),w)*. % 299.97/300.34 13026[0:Res:957.2,282.0] || subset(u,restrict(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.34 13169[0:SpR:16.1,1103.2] ordered_pair_predicate(u) little_set(v) || equal(v,singleton_set(f2(u)))* -> member(v,u)*. % 299.97/300.34 13207[0:MRR:13178.0,4.1] || equal(u,singleton_set(v))* member(u,w)* disjoint(w,ordered_pair(v,x))* -> . % 299.97/300.34 13276[0:Res:956.2,10964.0] || subset(u,complement(complement(v))) -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.34 13277[0:Res:957.2,10964.0] || subset(u,complement(complement(v))) -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.34 13305[6:Res:538.1,10857.1] || equal(successor(second(f23(cross_product(u,infinity),v))),universal_set)** -> disjoint(cross_product(u,infinity),v). % 299.97/300.34 13306[0:Res:538.1,76.0] || -> disjoint(cross_product(u,powerset(v)),w) subset(second(f23(cross_product(u,powerset(v)),w)),v)*. % 299.97/300.34 13307[0:Res:538.1,1444.0] || -> disjoint(cross_product(u,singleton_set(v)),w) equal(second(f23(cross_product(u,singleton_set(v)),w)),v)**. % 299.97/300.34 13348[6:Res:543.1,10857.1] || equal(successor(second(f23(u,cross_product(v,infinity)))),universal_set)** -> disjoint(u,cross_product(v,infinity)). % 299.97/300.34 13349[0:Res:543.1,76.0] || -> disjoint(u,cross_product(v,powerset(w))) subset(second(f23(u,cross_product(v,powerset(w)))),w)*. % 299.97/300.34 13350[0:Res:543.1,1444.0] || -> disjoint(u,cross_product(v,singleton_set(w))) equal(second(f23(u,cross_product(v,singleton_set(w)))),w)**. % 299.97/300.34 13422[6:Res:551.1,10857.1] || equal(successor(first(f23(cross_product(infinity,u),v))),universal_set)** -> disjoint(cross_product(infinity,u),v). % 299.97/300.34 13423[0:Res:551.1,76.0] || -> disjoint(cross_product(powerset(u),v),w) subset(first(f23(cross_product(powerset(u),v),w)),u)*. % 299.97/300.34 13424[0:Res:551.1,1444.0] || -> disjoint(cross_product(singleton_set(u),v),w) equal(first(f23(cross_product(singleton_set(u),v),w)),u)**. % 299.97/300.34 13500[6:Res:556.1,10857.1] || equal(successor(first(f23(u,cross_product(infinity,v)))),universal_set)** -> disjoint(u,cross_product(infinity,v)). % 299.97/300.34 13501[0:Res:556.1,76.0] || -> disjoint(u,cross_product(powerset(v),w)) subset(first(f23(u,cross_product(powerset(v),w))),v)*. % 299.97/300.34 13502[0:Res:556.1,1444.0] || -> disjoint(u,cross_product(singleton_set(v),w)) equal(first(f23(u,cross_product(singleton_set(v),w))),v)**. % 299.97/300.34 13555[0:Rew:13.0,13551.1] || equal(f17(u,ordered_pair(v,w)),non_ordered_pair(v,w))** -> subset(u,ordered_pair(v,w)). % 299.97/300.34 13641[6:Res:539.1,10857.1] || equal(successor(second(f17(cross_product(u,infinity),v))),universal_set)** -> subset(cross_product(u,infinity),v). % 299.97/300.34 13642[0:Res:539.1,76.0] || -> subset(cross_product(u,powerset(v)),w) subset(second(f17(cross_product(u,powerset(v)),w)),v)*. % 299.97/300.34 13643[0:Res:539.1,1444.0] || -> subset(cross_product(u,singleton_set(v)),w) equal(second(f17(cross_product(u,singleton_set(v)),w)),v)**. % 299.97/300.34 13704[6:Res:552.1,10857.1] || equal(successor(first(f17(cross_product(infinity,u),v))),universal_set)** -> subset(cross_product(infinity,u),v). % 299.97/300.34 13705[0:Res:552.1,76.0] || -> subset(cross_product(powerset(u),v),w) subset(first(f17(cross_product(powerset(u),v),w)),u)*. % 299.97/300.34 13706[0:Res:552.1,1444.0] || -> subset(cross_product(singleton_set(u),v),w) equal(first(f17(cross_product(singleton_set(u),v),w)),u)**. % 299.97/300.34 13872[0:MRR:13835.0,213.1] || equal(f17(u,v),w)* disjoint(non_ordered_pair(x,w),u)* -> subset(u,v). % 299.97/300.34 13873[0:MRR:13834.0,213.1] || equal(f17(u,v),w)* disjoint(non_ordered_pair(w,x),u)* -> subset(u,v). % 299.97/300.34 14054[0:MRR:14010.0,203.1] || equal(f23(u,v),w)* disjoint(non_ordered_pair(x,w),v)* -> disjoint(u,v). % 299.97/300.34 14055[0:MRR:14009.0,203.1] || equal(f23(u,v),w)* disjoint(non_ordered_pair(w,x),v)* -> disjoint(u,v). % 299.97/300.34 14163[0:MRR:14118.0,203.1] || equal(f23(u,v),w)* disjoint(non_ordered_pair(x,w),u)* -> disjoint(u,v). % 299.97/300.34 14164[0:MRR:14117.0,203.1] || equal(f23(u,v),w)* disjoint(non_ordered_pair(w,x),u)* -> disjoint(u,v). % 299.97/300.34 14377[0:SSi:14359.0,371.0] || equal(ordered_pair(second(u),first(u)),v)* member(u,converse(complement(singleton_set(v))))* -> . % 299.97/300.34 14378[0:SSi:14358.0,371.0] || subset(ordered_pair(second(u),first(u)),v)* member(u,converse(complement(powerset(v)))) -> . % 299.97/300.34 14452[3:SpL:372.0,1418.1] || equal(ordered_pair(u,v),a) disjoint(ordered_pair(singleton_set(u),non_ordered_pair(u,v)),set_a)* -> . % 299.97/300.34 14571[0:SSi:14551.0,371.0] || equal(ordered_pair(f19(u),f21(u)),v)* disjoint(singleton_set(v),u)* -> single_valued_set(u). % 299.97/300.34 14572[0:SSi:14550.0,371.0] || subset(ordered_pair(f19(u),f21(u)),v)* disjoint(powerset(v),u) -> single_valued_set(u). % 299.97/300.34 14636[0:SSi:14616.0,371.0] || equal(ordered_pair(f19(u),f20(u)),v)* disjoint(singleton_set(v),u)* -> single_valued_set(u). % 299.97/300.34 14637[0:SSi:14615.0,371.0] || subset(ordered_pair(f19(u),f20(u)),v)* disjoint(powerset(v),u) -> single_valued_set(u). % 299.97/300.34 15217[0:Res:965.2,76.0] || member(u,domain_of(v)) subset(v,powerset(w)) -> subset(f8(u,v),w)*. % 299.97/300.34 15218[0:Res:965.2,1444.0] || member(u,domain_of(v))* subset(v,singleton_set(w))* -> equal(f8(u,v),w)*. % 299.97/300.34 15268[0:Res:964.2,76.0] || member(u,sigma(v)) subset(v,powerset(w)) -> subset(f16(u,v),w)*. % 299.97/300.34 15269[0:Res:964.2,1444.0] || member(u,sigma(v))* subset(v,singleton_set(w))* -> equal(f16(u,v),w)*. % 299.97/300.34 15493[0:Res:963.2,76.0] || member(u,range_of(v)) subset(v,powerset(w)) -> subset(f27(u,v),w)*. % 299.97/300.34 15494[0:Res:963.2,1444.0] || member(u,range_of(v))* subset(v,singleton_set(w))* -> equal(f27(u,v),w)*. % 299.97/300.34 15768[0:Res:13861.1,948.1] || disjoint(u,f4(v,w))* member(v,first(w)) -> member(v,complement(u)). % 299.97/300.34 15885[0:Res:13861.1,947.1] || disjoint(u,f7(v,w))* member(v,second(w)) -> member(v,complement(u)). % 299.97/300.34 15954[0:Res:13861.1,946.1] || disjoint(u,f16(v,w))* member(v,sigma(w)) -> member(v,complement(u)). % 299.97/300.34 15988[0:Res:13861.1,945.1] little_set(u) || disjoint(v,complement(w))* -> member(u,w)* member(u,complement(v))*. % 299.97/300.34 16025[0:Res:1080.2,1238.0] little_set(u) || equal(u,non_ordered_pair(v,w))* disjoint(ordered_pair(v,w),universal_set)* -> . % 299.97/300.34 16032[2:Res:1080.2,15679.1] little_set(set_b) || equal(non_ordered_pair(u,v),set_b) disjoint(universal_set,ordered_pair(u,v))* -> . % 299.97/300.34 16033[2:Res:1080.2,15721.1] little_set(set_a) || equal(non_ordered_pair(u,v),set_a) disjoint(universal_set,ordered_pair(u,v))* -> . % 299.97/300.34 16773[0:Res:11437.1,1241.2] || subset(non_ordered_pair(u,v),w)* equal(x,v)* member(x,complement(w))* -> . % 299.97/300.34 16955[0:Res:11437.1,1242.2] || subset(non_ordered_pair(u,v),w)* equal(x,u)* member(x,complement(w))* -> . % 299.97/300.34 16992[0:Res:13975.1,1240.2] || member(powerset(u),v)* subset(w,u)* member(w,complement(sigma(v)))* -> . % 299.97/300.34 17025[0:Res:87.1,15955.0] || -> single_valued_set(sigma(powerset(u))) member(ordered_pair(f19(sigma(powerset(u))),f21(sigma(powerset(u)))),u)*. % 299.97/300.34 17026[0:Res:86.1,15955.0] || -> single_valued_set(sigma(powerset(u))) member(ordered_pair(f19(sigma(powerset(u))),f20(sigma(powerset(u)))),u)*. % 299.97/300.34 17074[0:Res:956.2,15955.0] || subset(u,sigma(powerset(v))) -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.34 17075[0:Res:957.2,15955.0] || subset(u,sigma(powerset(v))) -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.34 17177[0:Res:14040.1,1240.2] || disjoint(u,powerset(v))* subset(w,v)* member(w,intersection(u,x))* -> . % 299.97/300.34 17272[0:Res:14043.1,1240.2] || disjoint(u,powerset(v))* subset(w,v)* member(w,intersection(x,u))* -> . % 299.97/300.34 17370[0:Res:17151.1,1240.2] || disjoint(u,powerset(v))* subset(w,v)* member(w,restrict(u,x))* -> . % 299.97/300.34 17599[2:MRR:17591.0,1545.1] || member(complement(u),image(v,w)) -> member(first(f22(complement(u),v,w)),u)*. % 299.97/300.34 19000[0:MRR:18989.0,24.1] || member(u,second(v)) -> member(f7(u,v),w)* member(u,sigma(complement(w))). % 299.97/300.34 19129[0:MRR:19118.0,18.1] || member(u,first(v)) -> member(f4(u,v),w)* member(u,sigma(complement(w))). % 299.97/300.34 19264[0:MRR:19246.0,449.1] || member(u,sigma(v)) -> member(f16(u,v),w)* member(u,sigma(complement(w))). % 299.97/300.34 19556[2:Res:546.1,10966.0] || member(u,domain_of(cross_product(v,w))) -> member(second(f8(u,cross_product(v,w))),universal_set)*. % 299.97/300.34 19652[0:Res:1161.2,15955.0] || member(u,domain_of(v)) member(v,powerset(w)) -> member(f8(u,v),w)*. % 299.97/300.34 19760[0:MRR:19732.0,487.1] || member(u,domain_of(v)) disjoint(complement(w),v) -> member(f8(u,v),w)*. % 299.97/300.34 20017[0:MRR:19991.0,420.1] || member(u,range_of(v)) disjoint(complement(w),v) -> member(f27(u,v),w)*. % 299.97/300.34 20278[0:MRR:20252.0,449.1] || member(u,sigma(v)) disjoint(complement(w),v) -> member(f16(u,v),w)*. % 299.97/300.34 20488[0:Res:9.2,20288.0] little_set(set_b) || equal(set_b,u) disjoint(non_ordered_pair(u,v),non_ordered_pair(u,v))* -> . % 299.97/300.34 20489[0:Res:10.2,20288.0] little_set(set_b) || equal(set_b,u) disjoint(non_ordered_pair(v,u),non_ordered_pair(v,u))* -> . % 299.97/300.35 20509[0:Res:9.2,20289.0] little_set(set_a) || equal(set_a,u) disjoint(non_ordered_pair(u,v),non_ordered_pair(u,v))* -> . % 299.97/300.35 20510[0:Res:10.2,20289.0] little_set(set_a) || equal(set_a,u) disjoint(non_ordered_pair(v,u),non_ordered_pair(v,u))* -> . % 299.97/300.35 20563[0:Res:1160.2,15955.0] || member(u,sigma(v)) member(v,powerset(w)) -> member(f16(u,v),w)*. % 299.97/300.35 20641[2:Res:545.1,10966.0] || member(u,sigma(cross_product(v,w))) -> member(second(f16(u,cross_product(v,w))),universal_set)*. % 299.97/300.35 20693[3:SpL:36.0,20605.0] || disjoint(union(u,v),union(u,v))* -> member(infinity,intersection(complement(u),complement(v)))*. % 299.97/300.35 20749[2:Res:558.1,10966.0] || member(u,sigma(cross_product(v,w))) -> member(first(f16(u,cross_product(v,w))),universal_set)*. % 299.97/300.35 20851[0:Res:1159.2,15955.0] || member(u,range_of(v)) member(v,powerset(w)) -> member(f27(u,v),w)*. % 299.97/300.35 20884[2:Res:557.1,10966.0] || member(u,range_of(cross_product(v,w))) -> member(first(f27(u,cross_product(v,w))),universal_set)*. % 299.97/300.35 20953[2:Res:4115.1,20934.0] ordered_pair_predicate(u) || -> member(u,converse(complement(range_of(cross_product(ordered_pair(second(u),first(u)),v)))))*. % 299.97/300.35 21439[3:Res:540.1,6160.0] || -> single_valued_set(cross_product(u,v)) ordered_pair_predicate(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))))*. % 299.97/300.35 21444[0:Res:540.1,4.0] || -> single_valued_set(cross_product(u,v)) little_set(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))))*. % 299.97/300.35 21599[3:Res:541.1,6160.0] || -> single_valued_set(cross_product(u,v)) ordered_pair_predicate(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))))*. % 299.97/300.35 21604[0:Res:541.1,4.0] || -> single_valued_set(cross_product(u,v)) little_set(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))))*. % 299.97/300.35 21678[3:Res:553.1,6160.0] || -> single_valued_set(cross_product(u,v)) ordered_pair_predicate(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))))*. % 299.97/300.35 21683[0:Res:553.1,4.0] || -> single_valued_set(cross_product(u,v)) little_set(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))))*. % 299.97/300.35 21767[3:Res:554.1,6160.0] || -> single_valued_set(cross_product(u,v)) ordered_pair_predicate(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))))*. % 299.97/300.35 21772[0:Res:554.1,4.0] || -> single_valued_set(cross_product(u,v)) little_set(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))))*. % 299.97/300.35 21848[3:SpL:5768.0,1009.0] || member(u,universal_set) subset(universal_set,v) -> member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.35 22367[0:MRR:22291.0,22291.1,19.1,18.1] || member(u,first(v)) member(w,f4(u,v))* -> member(w,first(v)). % 299.97/300.35 22368[0:MRR:22290.0,22290.1,24.1,23.1] || member(u,second(v)) member(w,f6(u,v))* -> member(w,first(v)). % 299.97/300.35 22370[0:MRR:22369.0,48.1] || member(u,rotate_right(v)) member(w,f9(u,v))* -> member(w,first(u)). % 299.97/300.35 22372[0:MRR:22371.0,54.1] || member(u,flip_range_of(v)) member(w,f12(u,v))* -> member(w,first(u)). % 299.97/300.35 22613[0:MRR:22535.0,22535.1,19.1,18.1] || member(u,first(v)) member(w,f5(u,v))* -> member(w,second(v)). % 299.97/300.35 22614[0:MRR:22534.0,22534.1,24.1,23.1] || member(u,second(v)) member(w,f7(u,v))* -> member(w,second(v)). % 299.97/300.35 22773[8:SpL:36.0,21540.0] || disjoint(union(u,v),universal_set) disjoint(universal_set,sigma(intersection(complement(u),complement(v))))* -> . % 299.97/300.35 23023[2:Res:1339.2,17597.0] || member(u,image(v,w)) subset(w,image(f22(u,v,w),x))* -> . % 299.97/300.35 23024[2:Res:1339.2,17668.0] || member(u,image(v,w)) subset(w,apply(x,f22(u,v,w)))* -> . % 299.97/300.35 23038[0:Rew:95.1,22988.2] || member(u,image(v,w))* subset(w,cross_product(x,y))* -> member(u,y)*. % 299.97/300.35 23048[8:SpL:36.0,21833.1] || disjoint(universal_set,successor(intersection(complement(u),complement(v))))* disjoint(union(u,v),universal_set) -> . % 299.97/300.35 23062[8:SpL:36.0,21838.1] || disjoint(universal_set,successor(intersection(complement(u),complement(v))))* disjoint(union(u,v),infinity) -> . % 299.97/300.35 23115[2:Res:1274.2,17597.0] || member(u,apply(v,w)) subset(v,image(f28(u,v,w),x))* -> . % 299.97/300.35 23116[2:Res:1274.2,17668.0] || member(u,apply(v,w)) subset(v,apply(x,f28(u,v,w)))* -> . % 299.97/300.35 23130[0:Rew:119.1,23079.2] || member(u,apply(v,w))* subset(v,cross_product(x,y))* -> member(w,x)*. % 299.97/300.35 24364[3:Rew:7326.1,24276.2] || member(u,universal_set) member(universal_set,v)* -> member(ordered_pair(second(u),first(u)),universal_set)*. % 299.97/300.35 25695[0:Res:1338.2,1238.0] || member(u,image(v,w))* member(w,x)* disjoint(sigma(x),universal_set)* -> . % 299.97/300.35 25702[0:Obv:25701.0] || member(u,v) member(w,image(x,u))* disjoint(sigma(v),u)* -> . % 299.97/300.35 25735[0:Res:1273.2,1238.0] || member(u,apply(v,w))* member(v,x)* disjoint(sigma(x),universal_set)* -> . % 299.97/300.35 25742[0:Obv:25741.0] || member(u,v) member(w,apply(u,x))* disjoint(sigma(v),u)* -> . % 299.97/300.35 25830[2:Res:965.2,25810.0] || member(u,domain_of(v)) subset(v,image(w,cross_product(f8(u,v),x)))* -> . % 299.97/300.35 25831[2:Res:964.2,25810.0] || member(u,sigma(v)) subset(v,image(w,cross_product(f16(u,v),x)))* -> . % 299.97/300.35 25832[2:Res:963.2,25810.0] || member(u,range_of(v)) subset(v,image(w,cross_product(f27(u,v),x)))* -> . % 299.97/300.35 25967[2:Res:965.2,25946.0] || member(u,domain_of(v)) subset(v,image(intersection(f8(u,v),w),x))* -> . % 299.97/300.35 25968[2:Res:964.2,25946.0] || member(u,sigma(v)) subset(v,image(intersection(f16(u,v),w),x))* -> . % 299.97/300.35 25969[2:Res:963.2,25946.0] || member(u,range_of(v)) subset(v,image(intersection(f27(u,v),w),x))* -> . % 299.97/300.35 25999[2:Res:965.2,25950.0] || member(u,domain_of(v)) subset(v,image(restrict(f8(u,v),w),x))* -> . % 299.97/300.35 26000[2:Res:964.2,25950.0] || member(u,sigma(v)) subset(v,image(restrict(f16(u,v),w),x))* -> . % 299.97/300.35 26001[2:Res:963.2,25950.0] || member(u,range_of(v)) subset(v,image(restrict(f27(u,v),w),x))* -> . % 299.97/300.35 26197[2:Res:965.2,26103.0] || member(u,domain_of(v)) subset(v,image(intersection(w,f8(u,v)),x))* -> . % 299.97/300.35 26198[2:Res:964.2,26103.0] || member(u,sigma(v)) subset(v,image(intersection(w,f16(u,v)),x))* -> . % 299.97/300.35 26199[2:Res:963.2,26103.0] || member(u,range_of(v)) subset(v,image(intersection(w,f27(u,v)),x))* -> . % 299.97/300.35 26430[7:Res:26333.1,314.0] || subset(universal_set,intersection(complement(u),complement(v)))* member(sigma(infinity),union(u,v)) -> . % 299.97/300.35 26794[0:Res:9144.0,1561.2] || member(u,apply(v,w)) member(u,complement(second(f28(u,v,w))))* -> . % 299.97/300.35 26931[0:Res:1543.2,1238.0] || member(u,image(v,w))* member(v,x)* disjoint(sigma(x),universal_set)* -> . % 299.97/300.35 26940[0:Obv:26938.0] || member(u,v) member(w,image(u,x))* disjoint(sigma(v),u)* -> . % 299.97/300.35 26975[7:Res:26830.1,8.0] || disjoint(universal_set,complement(non_ordered_pair(u,v)))* -> equal(sigma(infinity),v) equal(sigma(infinity),u). % 299.97/300.35 26994[7:Res:26830.1,644.1] || disjoint(universal_set,complement(second(f8(sigma(infinity),u))))* member(sigma(infinity),domain_of(u)) -> . % 299.97/300.35 27120[7:Res:26831.1,8.0] || disjoint(complement(non_ordered_pair(u,v)),universal_set)* -> equal(sigma(infinity),v) equal(sigma(infinity),u). % 299.97/300.35 27139[7:Res:26831.1,644.1] || disjoint(complement(second(f8(sigma(infinity),u))),universal_set)* member(sigma(infinity),domain_of(u)) -> . % 299.97/300.35 27283[0:Res:9144.0,3652.3] || member(u,v) member(u,w) member(u,complement(intersection(w,v)))* -> . % 299.97/300.35 30992[2:Obv:30963.0] || -> equal(f23(non_ordered_pair(u,v),w),v)** disjoint(non_ordered_pair(u,v),w) member(u,universal_set). % 299.97/300.35 30993[0:Obv:30961.0] || -> equal(f23(non_ordered_pair(u,v),w),v)** disjoint(non_ordered_pair(u,v),w) member(u,w). % 299.97/300.35 30994[2:Obv:30943.0] || -> equal(f23(non_ordered_pair(u,v),w),u)** disjoint(non_ordered_pair(u,v),w) member(v,universal_set). % 299.97/300.35 30995[0:Obv:30941.0] || -> equal(f23(non_ordered_pair(u,v),w),u)** disjoint(non_ordered_pair(u,v),w) member(v,w). % 299.97/300.35 31129[2:Obv:31098.0] || -> equal(f23(u,non_ordered_pair(v,w)),w)** disjoint(u,non_ordered_pair(v,w)) member(v,universal_set). % 299.97/300.35 31130[0:Obv:31095.0] || -> equal(f23(u,non_ordered_pair(v,w)),w)** disjoint(u,non_ordered_pair(v,w)) member(v,u). % 299.97/300.35 31131[2:Obv:31076.0] || -> equal(f23(u,non_ordered_pair(v,w)),v)** disjoint(u,non_ordered_pair(v,w)) member(w,universal_set). % 299.97/300.35 31132[0:Obv:31073.0] || -> equal(f23(u,non_ordered_pair(v,w)),v)** disjoint(u,non_ordered_pair(v,w)) member(w,u). % 299.97/300.35 31261[2:Obv:31237.0] || -> equal(f17(non_ordered_pair(u,v),w),v)** subset(non_ordered_pair(u,v),w) member(u,universal_set). % 299.97/300.35 31262[2:Obv:31225.0] || -> equal(f17(non_ordered_pair(u,v),w),u)** subset(non_ordered_pair(u,v),w) member(v,universal_set). % 299.97/300.35 32550[7:SoR:6199.0,32539.1] || member(u,v) equal(sigma(infinity),first(u)) -> member(first(u),domain_of(v))*. % 299.97/300.35 32553[7:SoR:6200.0,32539.1] || member(u,v) equal(sigma(infinity),second(u)) -> member(second(u),range_of(v))*. % 299.97/300.35 32658[7:SpL:36.0,26027.1] || disjoint(intersection(complement(u),complement(v)),sigma(infinity))* disjoint(union(u,v),universal_set) -> . % 299.97/300.35 32864[7:SpL:36.0,26032.1] || disjoint(intersection(complement(u),complement(v)),sigma(infinity))* disjoint(union(u,v),infinity) -> . % 299.97/300.35 33199[7:SpL:36.0,26317.0] || disjoint(sigma(union(u,v)),universal_set) -> member(sigma(infinity),intersection(complement(u),complement(v)))*. % 299.97/300.35 33204[8:SpL:36.0,26321.0] || disjoint(universal_set,sigma(union(u,v))) -> member(sigma(infinity),intersection(complement(u),complement(v)))*. % 299.97/300.35 33209[7:SpL:36.0,26322.0] || disjoint(sigma(union(u,v)),infinity) -> member(sigma(infinity),intersection(complement(u),complement(v)))*. % 299.97/300.35 33214[7:SpL:36.0,26418.0] || subset(universal_set,union(u,v)) member(sigma(infinity),intersection(complement(u),complement(v)))* -> . % 299.97/300.35 33365[7:SpL:36.0,26419.0] || subset(universal_set,complement(union(u,v))) -> member(sigma(infinity),intersection(complement(u),complement(v)))*. % 299.97/300.35 33394[7:Res:33376.1,8.0] || member(universal_set,powerset(non_ordered_pair(u,v)))* -> equal(sigma(infinity),v) equal(sigma(infinity),u). % 299.97/300.35 33413[7:Res:33376.1,644.1] || member(universal_set,powerset(second(f8(sigma(infinity),u))))* member(sigma(infinity),domain_of(u)) -> . % 299.97/300.35 34195[3:Obv:34188.2] || member(u,v) equal(first(u),w) -> subset(second(u),apply(v,w))*. % 299.97/300.35 35293[7:SpL:36.0,34391.1] || subset(universal_set,powerset(intersection(complement(u),complement(v))))* subset(infinity,union(u,v)) -> . % 299.97/300.35 37751[0:Res:4272.2,1238.0] || member(u,compose(v,w))* member(w,x)* disjoint(sigma(x),universal_set)* -> . % 299.97/300.35 38161[0:Obv:38157.0] || member(u,v) member(w,compose(x,u))* disjoint(sigma(v),u)* -> . % 299.97/300.35 38222[0:Res:4347.2,1238.0] || member(u,compose(v,w))* member(v,x)* disjoint(sigma(x),universal_set)* -> . % 299.97/300.35 38280[0:Obv:38276.0] || member(u,v) member(w,compose(u,x))* disjoint(sigma(v),u)* -> . % 299.97/300.35 38390[0:Obv:38383.0] || member(u,apply(v,w))* equal(w,x)* -> member(u,apply(v,x))*. % 299.97/300.35 38391[0:MRR:38364.0,1275.1] || member(u,apply(v,w))* equal(w,x)* -> member(u,apply(universal_set,x))*. % 299.97/300.35 38899[2:SpL:372.0,15937.1] || equal(ordered_pair(u,v),infinity) disjoint(universal_set,ordered_pair(singleton_set(u),non_ordered_pair(u,v)))* -> . % 299.97/300.35 38979[2:MRR:38958.0,92.1] || member(u,image(v,w)) -> member(ordered_pair(u,first(f22(u,v,w))),universal_set)*. % 299.97/300.35 38980[2:MRR:38953.0,117.1] || member(u,apply(v,w)) -> member(ordered_pair(second(f28(u,v,w)),w),universal_set)*. % 299.97/300.35 39715[3:Rew:36.0,39694.1] || subset(intersection(complement(u),complement(v)),union(u,v))* -> member(infinity,union(u,v)). % 299.97/300.35 40622[2:Res:25246.0,98.0] || member(f1(universal_set,complement(u)),v)* disjoint(v,u) -> equal(complement(u),universal_set). % 299.97/300.35 40623[2:Res:25246.0,68.0] || member(u,v) -> equal(complement(u),universal_set) member(f1(universal_set,complement(u)),sigma(v))*. % 299.97/300.35 40628[2:Res:25246.0,42.0] || -> equal(complement(cross_product(u,v)),universal_set) member(first(f1(universal_set,complement(cross_product(u,v)))),u)*. % 299.97/300.35 40629[2:Res:25246.0,43.0] || -> equal(complement(cross_product(u,v)),universal_set) member(second(f1(universal_set,complement(cross_product(u,v)))),v)*. % 299.97/300.35 40632[2:Res:25246.0,4549.0] || equal(u,f1(universal_set,complement(flip_range_of(v))))* -> equal(complement(flip_range_of(v)),universal_set) ordered_pair_predicate(u)*. % 299.97/300.35 40635[2:Res:25246.0,4578.0] || equal(u,f1(universal_set,complement(rotate_right(v))))* -> equal(complement(rotate_right(v)),universal_set) ordered_pair_predicate(u)*. % 299.97/300.35 40700[2:Rew:36.0,40661.1,36.0,40661.0] || member(f1(universal_set,union(u,v)),union(u,v))* -> equal(union(u,v),universal_set). % 299.97/300.35 43607[14:Res:42571.1,6176.0] || subset(universal_set,converse(u))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(universal_set,v)),first(ordered_pair(universal_set,v))))*. % 299.97/300.35 43648[14:Res:42571.1,4119.1] || subset(universal_set,u) member(universal_set,range_of(v)) -> member(f27(universal_set,v),converse(u))*. % 299.97/300.35 59330[16:Rew:375.0,59329.1] || member(singleton_set(singleton_set(a)),second(u)) disjoint(universal_set,f7(singleton_set(singleton_set(a)),u))* -> . % 299.97/300.35 59333[16:Rew:375.0,59332.1] || member(singleton_set(singleton_set(a)),first(u)) disjoint(universal_set,f4(singleton_set(singleton_set(a)),u))* -> . % 299.97/300.35 59336[16:Rew:375.0,59335.1] || member(singleton_set(singleton_set(a)),sigma(u)) disjoint(universal_set,f16(singleton_set(singleton_set(a)),u))* -> . % 299.97/300.35 59337[16:Rew:375.0,55215.1] || disjoint(universal_set,intersection(complement(u),complement(v))) -> member(singleton_set(singleton_set(a)),union(u,v))*. % 299.97/300.35 59338[16:Rew:375.0,55223.1] || subset(universal_set,powerset(cross_product(set_a,set_b))) member(singleton_set(singleton_set(a)),ordered_pair(universal_set,u))* -> . % 299.97/300.35 59339[16:Rew:54986.0,55240.0] || subset(powerset(a),u) member(a,v) disjoint(v,sigma(powerset(u)))* -> . % 299.97/300.35 59340[16:Rew:54986.0,55241.0] || equal(powerset(a),u) member(a,v) disjoint(v,sigma(singleton_set(u)))* -> . % 299.97/300.35 59341[16:Rew:54986.0,55242.0] || subset(singleton_set(a),u) member(a,v) disjoint(v,sigma(powerset(u)))* -> . % 299.97/300.35 59342[16:Rew:54986.0,55243.0] || equal(singleton_set(a),u) member(a,v) disjoint(v,sigma(singleton_set(u)))* -> . % 299.97/300.35 55244[16:Rew:54986.0,49150.1] || subset(sigma(infinity),u) member(a,v) disjoint(v,sigma(powerset(u)))* -> . % 299.97/300.35 55245[16:Rew:54986.0,49148.1] || equal(sigma(infinity),u) member(a,v) disjoint(v,sigma(singleton_set(u)))* -> . % 299.97/300.35 55246[16:Rew:54986.0,49137.1] || subset(universal_set,powerset(u)) member(a,v) disjoint(v,complement(complement(u)))* -> . % 299.97/300.35 59343[16:Rew:54986.0,55247.0] || equal(a,u) member(a,v) disjoint(v,complement(complement(singleton_set(u))))* -> . % 299.97/300.35 55248[16:Rew:54986.0,49133.1] || disjoint(successor(u),universal_set) member(a,v) disjoint(v,complement(singleton_set(u)))* -> . % 299.97/300.35 55249[16:Rew:54986.0,49131.1] || disjoint(successor(u),infinity) member(a,v) disjoint(v,complement(singleton_set(u)))* -> . % 299.97/300.35 55250[16:Rew:54986.0,49129.1] || disjoint(universal_set,successor(u)) member(a,v) disjoint(v,complement(singleton_set(u)))* -> . % 299.97/300.35 59344[16:Rew:54986.0,55251.1] || member(u,second(v)) equal(singleton_set(f6(u,v)),a)** -> member(a,v). % 299.97/300.35 59345[16:Rew:54986.0,55252.1] || member(u,first(v)) equal(singleton_set(f4(u,v)),a)** -> member(a,v). % 299.97/300.35 59346[16:Rew:54986.0,55253.0] || equal(singleton_set(u),a) member(a,v) disjoint(v,ordered_pair(u,w))* -> . % 299.97/300.35 59348[16:Rew:54986.0,55352.0] || subset(powerset(a),u) member(sigma(powerset(u)),v)* -> member(a,sigma(v)). % 299.97/300.35 59349[16:Rew:54986.0,55353.0] || equal(powerset(a),u) member(sigma(singleton_set(u)),v)* -> member(a,sigma(v)). % 299.97/300.35 59351[16:Rew:54986.0,55355.0] || subset(singleton_set(a),u) member(sigma(powerset(u)),v)* -> member(a,sigma(v)). % 299.97/300.35 59352[16:Rew:54986.0,55356.0] || equal(singleton_set(a),u) member(sigma(singleton_set(u)),v)* -> member(a,sigma(v)). % 299.97/300.35 55357[16:Rew:54986.0,49238.2] || subset(sigma(infinity),u) member(sigma(powerset(u)),v)* -> member(a,sigma(v)). % 299.97/300.35 55358[16:Rew:54986.0,49237.2] || equal(sigma(infinity),u) member(sigma(singleton_set(u)),v)* -> member(a,sigma(v)). % 299.97/300.35 55359[16:Rew:54986.0,49233.2] || subset(universal_set,powerset(u)) member(complement(complement(u)),v)* -> member(a,sigma(v)). % 299.97/300.35 59353[16:Rew:54986.0,55360.0] || equal(a,u) member(complement(complement(singleton_set(u))),v)* -> member(a,sigma(v)). % 299.97/300.35 55361[16:Rew:54986.0,49231.2] || disjoint(successor(u),universal_set) member(complement(singleton_set(u)),v)* -> member(a,sigma(v)). % 299.97/300.35 55362[16:Rew:54986.0,49230.2] || disjoint(successor(u),infinity) member(complement(singleton_set(u)),v)* -> member(a,sigma(v)). % 299.97/300.35 55363[16:Rew:54986.0,49229.2] || disjoint(universal_set,successor(u)) member(complement(singleton_set(u)),v)* -> member(a,sigma(v)). % 299.97/300.35 55404[16:Rew:54986.0,49293.0] || member(a,intersection(complement(u),complement(v)))* disjoint(complement(union(u,v)),universal_set) -> . % 299.97/300.35 55405[16:Rew:54986.0,49292.0] || member(a,intersection(complement(u),complement(v)))* disjoint(complement(union(u,v)),infinity) -> . % 299.97/300.35 55406[16:Rew:54986.0,49287.0] || member(a,intersection(complement(u),complement(v)))* disjoint(universal_set,complement(union(u,v))) -> . % 299.97/300.35 55407[16:Rew:54986.0,49282.1] || disjoint(complement(complement(union(u,v))),universal_set) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.35 55408[16:Rew:54986.0,49280.1] || disjoint(universal_set,complement(complement(union(u,v)))) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.35 55409[16:Rew:54986.0,49279.1] || disjoint(complement(complement(union(u,v))),infinity) -> member(a,intersection(complement(u),complement(v)))*. % 299.97/300.35 55473[16:Rew:54986.0,48689.2] || equal(u,universal_set) -> equal(f24(non_ordered_pair(u,v)),v)** equal(non_ordered_pair(u,v),a). % 299.97/300.35 55501[16:Rew:54986.0,49340.2] || member(ordered_pair(singleton_set(u),u),v)* disjoint(v,f25) -> equal(singleton_set(u),a). % 299.97/300.35 59355[16:Rew:54986.0,55502.2] || equal(singleton_set(u),a) member(ordered_pair(u,v),w)* -> member(a,sigma(w)). % 299.97/300.35 55541[16:Rew:54986.0,51677.1] || disjoint(f1(u,powerset(v)),universal_set)* member(a,u) -> equal(u,powerset(v)). % 299.97/300.35 55542[16:Rew:54986.0,51671.1] || disjoint(universal_set,f1(u,powerset(v)))* member(a,u) -> equal(u,powerset(v)). % 299.97/300.35 59357[16:Rew:54986.0,55544.1] || member(u,flip_range_of(v)) equal(singleton_set(f12(u,v)),a)** -> member(a,u). % 299.97/300.35 59358[16:Rew:54986.0,55545.1] || member(u,rotate_right(v)) equal(singleton_set(f9(u,v)),a)** -> member(a,u). % 299.97/300.35 59359[16:Rew:54986.0,55546.2] || member(a,u) disjoint(u,complement(cross_product(v,w)))* -> member(second(a),w). % 299.97/300.35 59360[16:Rew:54986.0,55547.2] || member(a,u) disjoint(u,complement(cross_product(v,w)))* -> member(first(a),v). % 299.97/300.35 55548[16:Rew:54986.0,49669.0] || member(a,u) disjoint(u,sigma(complement(range_of(cross_product(ordered_pair(universal_set,v),w)))))* -> . % 299.97/300.35 59361[16:Rew:54986.0,55652.2] || member(complement(cross_product(u,v)),w)* -> member(second(a),v) member(a,sigma(w)). % 299.97/300.35 59362[16:Rew:54986.0,55674.2] || member(complement(cross_product(u,v)),w)* -> member(first(a),u) member(a,sigma(w)). % 299.97/300.35 55686[16:Rew:54986.0,51530.1] || member(u,v)* -> member(a,sigma(complement(u)))* member(ordered_pair(universal_set,w),sigma(v))*. % 299.97/300.35 59363[16:Rew:54986.0,55700.1] little_set(successor(estin)) || equal(successor(a),u) -> member(a,sigma(non_ordered_pair(v,u)))*. % 299.97/300.35 59364[16:Rew:54986.0,55706.1] little_set(successor(estin)) || equal(successor(a),u) -> member(a,sigma(non_ordered_pair(u,v)))*. % 299.97/300.35 55757[16:Rew:54986.0,49793.2] || member(u,v)* equal(f24(second(u)),first(u))** -> equal(second(u),a). % 299.97/300.35 55772[16:Rew:54986.0,50896.0] || equal(ordered_pair(u,v),a) disjoint(ordered_pair(singleton_set(u),non_ordered_pair(u,v)),infinity)* -> . % 299.97/300.35 55773[16:Rew:54986.0,50890.0] || equal(ordered_pair(u,v),a) disjoint(universal_set,ordered_pair(singleton_set(u),non_ordered_pair(u,v)))* -> . % 299.97/300.35 55774[16:Rew:54986.0,50889.0] || equal(ordered_pair(u,v),a) disjoint(ordered_pair(singleton_set(u),non_ordered_pair(u,v)),universal_set)* -> . % 299.97/300.35 59365[16:Rew:54986.0,55775.1] || equal(ordered_pair(u,v),a) -> subset(powerset(a),ordered_pair(singleton_set(u),non_ordered_pair(u,v)))*. % 299.97/300.35 55777[16:Rew:54986.0,14451.0] || equal(ordered_pair(u,v),a) disjoint(ordered_pair(singleton_set(u),non_ordered_pair(u,v)),set_b)* -> . % 299.97/300.35 55817[16:Rew:54986.0,51033.1] || disjoint(sigma(union(u,v)),universal_set) -> member(a,sigma(intersection(complement(u),complement(v))))*. % 299.97/300.35 55818[16:Rew:54986.0,51032.1] || disjoint(universal_set,sigma(union(u,v))) -> member(a,sigma(intersection(complement(u),complement(v))))*. % 299.97/300.35 55819[16:Rew:54986.0,51031.1] || disjoint(sigma(union(u,v)),infinity) -> member(a,sigma(intersection(complement(u),complement(v))))*. % 299.97/300.35 56108[16:Rew:54986.0,49028.2] || subset(u,v)* subset(v,w)* -> equal(u,a) member(f24(u),w)*. % 299.97/300.35 56109[16:Rew:54986.0,49027.1] || subset(u,restrict(v,w))* -> equal(u,a) member(f24(u),cross_product(w,universal_set))*. % 299.97/300.35 56110[16:Rew:54986.0,49021.2] || subset(u,flip_range_of(v))* equal(w,f24(u))* -> equal(u,a) ordered_pair_predicate(w)*. % 299.97/300.35 56111[16:Rew:54986.0,49020.2] || subset(u,rotate_right(v))* equal(w,f24(u))* -> equal(u,a) ordered_pair_predicate(w)*. % 299.97/300.35 56112[16:Rew:54986.0,49019.1] || subset(u,image(v,cross_product(w,x)))* -> equal(u,a) member(f24(u),x). % 299.97/300.35 56113[16:Rew:54986.0,48982.2] || equal(f24(u),singleton_set(v)) disjoint(ordered_pair(v,w),u)* -> equal(u,a). % 299.97/300.35 56114[16:Rew:54986.0,48980.2] little_set(u) || subset(u,powerset(v)) -> equal(u,a) subset(f26(u),v)*. % 299.97/300.35 56115[16:Rew:54986.0,48979.2] little_set(u) || subset(u,singleton_set(v))* -> equal(u,a) equal(f26(u),v). % 299.97/300.35 56116[16:Rew:54986.0,48936.3] little_set(u) || disjoint(complement(v),u) -> member(f26(u),v)* equal(u,a). % 299.97/300.35 56117[16:Rew:54986.0,48900.2] little_set(u) || subset(f25,image(ordered_pair(u,f26(u)),v))* -> equal(u,a). % 299.97/300.35 56118[16:Rew:54986.0,48831.3] little_set(u) || member(f25,v) disjoint(sigma(v),f25)* -> equal(u,a)*. % 299.97/300.35 56119[16:Rew:54986.0,48823.2] little_set(u) || subset(u,image(v,cross_product(f26(u),w)))* -> equal(u,a). % 299.97/300.35 56120[16:Rew:54986.0,48820.2] little_set(u) || subset(u,image(intersection(f26(u),v),w))* -> equal(u,a). % 299.97/300.35 56121[16:Rew:54986.0,48817.2] little_set(u) || subset(u,image(restrict(f26(u),v),w))* -> equal(u,a). % 299.97/300.35 56122[16:Rew:54986.0,48814.2] little_set(u) || subset(u,image(intersection(v,f26(u)),w))* -> equal(u,a). % 299.97/300.35 59366[16:Rew:54986.0,56123.2] || member(u,v)* -> equal(u,a) equal(f26(u),a) ordered_pair_predicate(f26(f26(u)))*. % 299.97/300.35 59367[16:Rew:54986.0,56304.1] || disjoint(universal_set,complement(non_ordered_pair(u,v)))* -> equal(singleton_set(a),v) equal(singleton_set(a),u). % 299.97/300.35 59368[16:Rew:54986.0,56305.1] || disjoint(complement(non_ordered_pair(u,v)),universal_set)* -> equal(singleton_set(a),v) equal(singleton_set(a),u). % 299.97/300.35 59369[16:Rew:54986.0,56306.1] || member(universal_set,powerset(non_ordered_pair(u,v)))* -> equal(singleton_set(a),v) equal(singleton_set(a),u). % 299.97/300.35 56461[16:Rew:54986.0,49358.2] || equal(u,universal_set) member(u,converse(powerset(v)))* -> subset(singleton_set(singleton_set(a)),v)*. % 299.97/300.35 56527[16:Rew:54986.0,49454.1] || subset(universal_set,intersection(complement(u),complement(v)))* member(singleton_set(a),union(u,v)) -> . % 299.97/300.35 56555[16:Rew:54986.0,49512.0] || disjoint(intersection(complement(u),complement(v)),singleton_set(a))* disjoint(union(u,v),universal_set) -> . % 299.97/300.35 56556[16:Rew:54986.0,49511.0] || disjoint(intersection(complement(u),complement(v)),singleton_set(a))* disjoint(union(u,v),infinity) -> . % 299.97/300.35 56557[16:Rew:54986.0,49541.1] || disjoint(sigma(union(u,v)),universal_set) -> member(singleton_set(a),intersection(complement(u),complement(v)))*. % 299.97/300.35 56558[16:Rew:54986.0,49540.1] || disjoint(universal_set,sigma(union(u,v))) -> member(singleton_set(a),intersection(complement(u),complement(v)))*. % 299.97/300.35 56559[16:Rew:54986.0,49539.1] || disjoint(sigma(union(u,v)),infinity) -> member(singleton_set(a),intersection(complement(u),complement(v)))*. % 299.97/300.35 56560[16:Rew:54986.0,49538.1] || subset(universal_set,union(u,v)) member(singleton_set(a),intersection(complement(u),complement(v)))* -> . % 299.97/300.35 56561[16:Rew:54986.0,49537.1] || subset(universal_set,complement(union(u,v))) -> member(singleton_set(a),intersection(complement(u),complement(v)))*. % 299.97/300.35 59370[16:Rew:54986.0,56565.1] || disjoint(universal_set,complement(second(f8(singleton_set(a),u))))* member(singleton_set(a),domain_of(u)) -> . % 299.97/300.35 59371[16:Rew:54986.0,56566.1] || disjoint(complement(second(f8(singleton_set(a),u))),universal_set)* member(singleton_set(a),domain_of(u)) -> . % 299.97/300.35 59372[16:Rew:54986.0,56567.1] || member(universal_set,powerset(second(f8(singleton_set(a),u))))* member(singleton_set(a),domain_of(u)) -> . % 299.97/300.35 56570[16:Rew:54986.0,49618.1] || member(u,v) equal(first(u),singleton_set(a)) -> member(first(u),domain_of(v))*. % 299.97/300.35 56572[16:Rew:54986.0,49621.1] || member(u,v) equal(second(u),singleton_set(a)) -> member(second(u),range_of(v))*. % 299.97/300.35 59374[16:Rew:54986.0,56661.1] || disjoint(universal_set,complement(non_ordered_pair(u,v)))* -> equal(powerset(a),v) equal(powerset(a),u). % 299.97/300.35 59375[16:Rew:54986.0,56662.1] || disjoint(complement(non_ordered_pair(u,v)),universal_set)* -> equal(powerset(a),v) equal(powerset(a),u). % 299.97/300.35 59376[16:Rew:54986.0,56663.1] || member(universal_set,powerset(non_ordered_pair(u,v)))* -> equal(powerset(a),v) equal(powerset(a),u). % 299.97/300.35 59377[16:Rew:54986.0,56836.2] || member(u,first(v)) member(u,powerset(a)) -> member(a,f4(u,v))*. % 299.97/300.35 59378[16:Rew:54986.0,56837.2] || member(u,second(v)) member(u,powerset(a)) -> member(a,f7(u,v))*. % 299.97/300.35 59379[16:Rew:54986.0,56838.2] || member(u,sigma(v)) member(u,powerset(a)) -> member(a,f16(u,v))*. % 299.97/300.35 59380[16:Rew:54986.0,56864.0] || disjoint(union(u,a),union(u,a))* -> member(powerset(a),intersection(complement(u),universal_set))*. % 299.97/300.35 59381[16:Rew:54986.0,56873.0] || disjoint(union(a,u),union(a,u))* -> member(powerset(a),intersection(universal_set,complement(u)))*. % 299.97/300.35 56888[16:Rew:54986.0,50469.1] || subset(universal_set,intersection(complement(u),complement(v)))* member(powerset(a),union(u,v)) -> . % 299.97/300.35 56892[16:Rew:54986.0,50429.1] || disjoint(sigma(union(u,v)),universal_set) -> member(powerset(a),intersection(complement(u),complement(v)))*. % 299.97/300.35 56893[16:Rew:54986.0,50428.1] || disjoint(sigma(union(u,v)),infinity) -> member(powerset(a),intersection(complement(u),complement(v)))*. % 299.97/300.35 56894[16:Rew:54986.0,50427.1] || subset(universal_set,union(u,v)) member(powerset(a),intersection(complement(u),complement(v)))* -> . % 299.97/300.35 56895[16:Rew:54986.0,50426.1] || subset(universal_set,complement(union(u,v))) -> member(powerset(a),intersection(complement(u),complement(v)))*. % 299.97/300.35 56896[16:Rew:54986.0,50425.1] || disjoint(universal_set,sigma(union(u,v))) -> member(powerset(a),intersection(complement(u),complement(v)))*. % 299.97/300.35 59382[16:Rew:54986.0,56900.1] || disjoint(universal_set,complement(second(f8(powerset(a),u))))* member(powerset(a),domain_of(u)) -> . % 299.97/300.35 59383[16:Rew:54986.0,56901.1] || disjoint(complement(second(f8(powerset(a),u))),universal_set)* member(powerset(a),domain_of(u)) -> . % 299.97/300.35 59384[16:Rew:54986.0,56902.1] || member(universal_set,powerset(second(f8(powerset(a),u))))* member(powerset(a),domain_of(u)) -> . % 299.97/300.35 56906[16:Rew:54986.0,50482.1] || member(u,v) equal(powerset(a),first(u)) -> member(first(u),domain_of(v))*. % 299.97/300.35 56908[16:Rew:54986.0,50484.1] || member(u,v) equal(powerset(a),second(u)) -> member(second(u),range_of(v))*. % 299.97/300.35 59386[16:Rew:54986.0,56909.1] || member(u,image(powerset(a),v)) -> equal(first(f22(u,powerset(a),v)),a)**. % 299.97/300.35 57147[16:Rew:54986.0,51196.0] || disjoint(intersection(complement(u),complement(v)),successor(a))* disjoint(union(u,v),universal_set) -> . % 299.97/300.35 57148[16:Rew:54986.0,51195.0] || disjoint(intersection(complement(u),complement(v)),successor(a))* disjoint(union(u,v),infinity) -> . % 299.97/300.35 57192[16:Rew:54986.0,50647.1] || subset(f25,u)* member(ordered_pair(powerset(a),a),v)* disjoint(v,u)* -> . % 299.97/300.35 57193[16:Rew:54986.0,50643.1] || subset(universal_set,u)* member(ordered_pair(powerset(a),a),v)* disjoint(v,u)* -> . % 299.97/300.35 57239[16:Rew:54986.0,50684.2] || subset(f25,u)* member(u,v)* -> member(ordered_pair(powerset(a),a),sigma(v))*. % 299.97/300.35 57240[16:Rew:54986.0,50683.2] || subset(universal_set,u)* member(u,v)* -> member(ordered_pair(powerset(a),a),sigma(v))*. % 299.97/300.35 57241[16:Rew:54986.0,50686.1] || subset(f25,compose(u,v))* equal(w,ordered_pair(powerset(a),a))* -> ordered_pair_predicate(w)*. % 299.97/300.35 57242[16:Rew:54986.0,50685.1] || subset(universal_set,compose(u,v))* equal(w,ordered_pair(powerset(a),a))* -> ordered_pair_predicate(w)*. % 299.97/300.35 57299[16:Rew:54986.0,50876.2] little_set(u) || subset(universal_set,powerset(v))* subset(u,a)* -> member(u,v)*. % 299.97/300.35 57300[16:Rew:54986.0,50874.2] little_set(u) || subset(universal_set,v) subset(u,a) -> member(u,sigma(v))*. % 299.97/300.35 59389[16:Rew:54986.0,57301.1] little_set(u) || equal(a,v) subset(u,a) -> member(u,singleton_set(v))*. % 299.97/300.35 59390[16:Rew:54986.0,57444.0] || disjoint(intersection(complement(u),universal_set),complement(union(u,a)))* -> member(infinity,union(u,a)). % 299.97/300.35 57487[16:Rew:54986.0,49975.0] || subset(union(u,a),intersection(complement(u),universal_set))* -> member(infinity,intersection(complement(u),universal_set)). % 299.97/300.35 57489[16:Rew:54986.0,50037.1] || disjoint(universal_set,intersection(complement(u),universal_set)) disjoint(union(u,a),union(u,a))* -> . % 299.97/300.35 59391[16:Rew:54986.0,57491.1] || -> member(f1(union(u,a),universal_set),intersection(complement(u),universal_set))* equal(union(u,a),universal_set). % 299.97/300.35 59392[16:Rew:54986.0,57492.0] || -> member(f1(universal_set,union(u,a)),intersection(complement(u),universal_set))* equal(union(u,a),universal_set). % 299.97/300.35 59393[16:Rew:54986.0,57493.1] || member(f24(union(u,a)),intersection(complement(u),universal_set))* -> equal(union(u,a),a). % 299.97/300.35 57512[16:Rew:54986.0,49064.2] || member(f26(complement(u)),u)* equal(complement(u),infinity) -> equal(complement(u),a). % 299.97/300.35 59394[16:Rew:54986.0,57562.0] || disjoint(intersection(universal_set,complement(u)),complement(union(a,u)))* -> member(infinity,union(a,u)). % 299.97/300.35 57605[16:Rew:54986.0,49838.0] || subset(union(a,u),intersection(universal_set,complement(u)))* -> member(infinity,intersection(universal_set,complement(u))). % 299.97/300.35 57607[16:Rew:54986.0,49900.1] || disjoint(universal_set,intersection(universal_set,complement(u))) disjoint(union(a,u),union(a,u))* -> . % 299.97/300.35 59395[16:Rew:54986.0,57609.1] || -> member(f1(union(a,u),universal_set),intersection(universal_set,complement(u)))* equal(union(a,u),universal_set). % 299.97/300.35 59396[16:Rew:54986.0,57610.0] || -> member(f1(universal_set,union(a,u)),intersection(universal_set,complement(u)))* equal(union(a,u),universal_set). % 299.97/300.35 59397[16:Rew:54986.0,57611.1] || member(f24(union(a,u)),intersection(universal_set,complement(u)))* -> equal(union(a,u),a). % 299.97/300.35 59398[16:Rew:54986.0,57753.1] || -> member(f17(u,union(v,a)),intersection(complement(v),universal_set))* subset(u,union(v,a)). % 299.97/300.35 59399[16:Rew:54986.0,57781.1] || -> member(f17(u,union(a,v)),intersection(universal_set,complement(v)))* subset(u,union(a,v)). % 299.97/300.35 57850[16:Rew:54986.0,49058.1] || subset(u,v) -> equal(complement(complement(u)),a) member(f24(complement(complement(u))),v)*. % 299.97/300.35 57870[16:Rew:54986.0,49765.1] || member(f25,u) -> equal(singleton_set(v),a) member(ordered_pair(singleton_set(v),v),sigma(u))*. % 299.97/300.35 58010[16:Rew:54986.0,50850.2] little_set(powerset(u)) || equal(powerset(u),v)* -> member(a,sigma(non_ordered_pair(v,w)))*. % 299.97/300.35 58012[16:Rew:54986.0,50852.2] little_set(powerset(u)) || equal(powerset(u),v)* -> member(a,sigma(non_ordered_pair(w,v)))*. % 299.97/300.35 58091[16:Rew:54986.0,50863.0] || equal(f17(u,v),a)** disjoint(ordered_pair(universal_set,w),u)* -> subset(u,v). % 299.97/300.35 58093[16:Rew:54986.0,50867.0] || equal(f23(u,v),a)** disjoint(ordered_pair(universal_set,w),v)* -> disjoint(u,v). % 299.97/300.35 58094[16:Rew:54986.0,50866.0] || equal(f23(u,v),a)** disjoint(ordered_pair(universal_set,w),u)* -> disjoint(u,v). % 299.97/300.35 58096[16:Rew:54986.0,50946.1] || member(sigma(complement(range_of(cross_product(ordered_pair(universal_set,u),v)))),w)* -> member(a,sigma(w)). % 299.97/300.35 58116[16:Rew:54986.0,50936.1] || subset(universal_set,powerset(intersection(complement(u),complement(v))))* -> member(a,complement(union(u,v))). % 299.97/300.35 59400[16:Rew:54986.0,58130.0] || equal(u,f1(compose(v,w),a))* -> equal(compose(v,w),a) ordered_pair_predicate(u)*. % 299.97/300.35 59401[16:Rew:54986.0,58131.0] || equal(u,f1(a,compose(v,w)))* -> equal(compose(v,w),a) ordered_pair_predicate(u)*. % 299.97/300.35 58189[16:Rew:54986.0,49311.0] || -> equal(complement(complement(intersection(u,v))),a) member(f24(complement(complement(intersection(u,v)))),u)*. % 299.97/300.35 58190[16:Rew:54986.0,49310.0] || -> equal(complement(complement(intersection(u,v))),a) member(f24(complement(complement(intersection(u,v)))),v)*. % 299.97/300.35 58191[16:Rew:54986.0,49312.0] || -> equal(complement(complement(restrict(u,v))),a) member(f24(complement(complement(restrict(u,v)))),u)*. % 299.97/300.35 58193[16:Rew:54986.0,49313.1] || subset(union(u,v),intersection(complement(u),complement(v)))* -> equal(union(u,v),a). % 299.97/300.35 58195[16:Rew:54986.0,50107.1] || subset(u,v) -> equal(intersection(u,w),a) member(f24(intersection(u,w)),v)*. % 299.97/300.35 58196[16:Rew:54986.0,50109.0] || -> equal(intersection(intersection(u,v),w),a) member(f24(intersection(intersection(u,v),w)),u)*. % 299.97/300.35 58197[16:Rew:54986.0,50108.0] || -> equal(intersection(intersection(u,v),w),a) member(f24(intersection(intersection(u,v),w)),v)*. % 299.97/300.35 58199[16:Rew:54986.0,50111.0] || -> equal(intersection(restrict(u,v),w),a) member(f24(intersection(restrict(u,v),w)),u)*. % 299.97/300.35 58201[16:Rew:54986.0,50123.1] || subset(u,v) -> equal(intersection(w,u),a) member(f24(intersection(w,u)),v)*. % 299.97/300.35 58202[16:Rew:54986.0,50125.0] || -> equal(intersection(u,intersection(v,w)),a) member(f24(intersection(u,intersection(v,w))),v)*. % 299.97/300.35 58203[16:Rew:54986.0,50124.0] || -> equal(intersection(u,intersection(v,w)),a) member(f24(intersection(u,intersection(v,w))),w)*. % 299.97/300.35 58205[16:Rew:54986.0,50127.0] || -> equal(intersection(u,restrict(v,w)),a) member(f24(intersection(u,restrict(v,w))),v)*. % 299.97/300.35 58209[16:Rew:54986.0,50157.0] || -> equal(image(u,cross_product(v,w)),a) member(f24(image(u,cross_product(v,w))),w)*. % 299.97/300.35 58210[16:Rew:54986.0,50166.1] || member(second(f24(cross_product(u,complement(v)))),v)* -> equal(cross_product(u,complement(v)),a). % 299.97/300.35 58211[16:Rew:54986.0,50187.1] || member(first(f24(cross_product(complement(u),v))),u)* -> equal(cross_product(complement(u),v),a). % 299.97/300.35 58212[16:Rew:54986.0,50608.2] || member(u,infinity) disjoint(singleton_set(successor(u)),infinity)* -> equal(singleton_set(successor(u)),a). % 299.97/300.35 58217[16:Rew:54986.0,50795.0] || equal(f17(complement(ordered_pair(universal_set,u)),v),a)** -> subset(complement(ordered_pair(universal_set,u)),v). % 299.97/300.35 58218[16:Rew:54986.0,50796.0] || equal(f23(complement(ordered_pair(universal_set,u)),v),a)** -> disjoint(complement(ordered_pair(universal_set,u)),v). % 299.97/300.35 58219[16:Rew:54986.0,50797.0] || equal(f23(u,complement(ordered_pair(universal_set,v))),a)** -> disjoint(u,complement(ordered_pair(universal_set,v))). % 299.97/300.35 58221[16:Rew:54986.0,50814.1] || equal(f24(complement(ordered_pair(u,v))),singleton_set(u))** -> equal(complement(ordered_pair(u,v)),a). % 299.97/300.35 58222[16:Rew:54986.0,50815.0] || -> equal(intersection(complement(complement(u)),v),a) member(f24(intersection(complement(complement(u)),v)),u)*. % 299.97/300.35 58223[16:Rew:54986.0,50816.0] || -> equal(intersection(u,complement(complement(v))),a) member(f24(intersection(u,complement(complement(v)))),v)*. % 299.97/300.35 58226[16:Rew:54986.0,50884.2] || subset(u,v) member(u,singleton_set(powerset(v)))* -> equal(singleton_set(powerset(v)),a). % 299.97/300.35 58227[16:Rew:54986.0,50888.1] || -> ordered_pair_predicate(singleton_set(u)) equal(ordered_pair(singleton_set(u),non_ordered_pair(u,v)),non_ordered_pair(a,ordered_pair(u,v)))**. % 299.97/300.35 58228[16:Rew:54986.0,50985.0] || -> equal(intersection(sigma(powerset(u)),v),a) member(f24(intersection(sigma(powerset(u)),v)),u)*. % 299.97/300.35 58229[16:Rew:54986.0,50986.0] || -> equal(intersection(u,sigma(powerset(v))),a) member(f24(intersection(u,sigma(powerset(v)))),v)*. % 299.97/300.35 58231[16:Rew:54986.0,51038.1] || -> member(ordered_pair(universal_set,u),union(v,w))* member(a,sigma(intersection(complement(v),complement(w))))*. % 299.97/300.35 58239[16:Rew:54986.0,51065.1] || member(u,sigma(v)) -> equal(f16(u,v),a) ordered_pair_predicate(f26(f16(u,v)))*. % 299.97/300.35 58243[16:Rew:54986.0,51089.1] || member(u,domain_of(v)) -> equal(f8(u,v),a) ordered_pair_predicate(f26(f8(u,v)))*. % 299.97/300.35 58245[16:Rew:54986.0,51092.1] || member(u,range_of(v)) -> equal(f27(u,v),a) ordered_pair_predicate(f26(f27(u,v)))*. % 299.97/300.35 58246[16:Rew:54986.0,51159.1] || equal(u,v) -> equal(non_ordered_pair(v,u),a) equal(f24(non_ordered_pair(v,u)),v)**. % 299.97/300.35 58247[16:Rew:54986.0,51158.2] || equal(u,universal_set) -> equal(f24(non_ordered_pair(v,u)),v)** equal(non_ordered_pair(v,u),a). % 299.97/300.35 58248[16:Rew:54986.0,51157.1] || equal(u,v) -> equal(non_ordered_pair(v,u),a) equal(f26(non_ordered_pair(v,u)),v)**. % 299.97/300.35 58249[16:Rew:54986.0,51469.1] || member(ordered_pair(universal_set,u),second(v)) -> member(a,sigma(f7(ordered_pair(universal_set,u),v)))*. % 299.97/300.35 58250[16:Rew:54986.0,51470.1] || member(ordered_pair(universal_set,u),first(v)) -> member(a,sigma(f4(ordered_pair(universal_set,u),v)))*. % 299.97/300.35 58251[16:Rew:54986.0,51471.1] || member(ordered_pair(universal_set,u),sigma(v)) -> member(a,sigma(f16(ordered_pair(universal_set,u),v)))*. % 299.97/300.35 58252[16:Rew:54986.0,51564.2] || member(ordered_pair(universal_set,u),v)* disjoint(v,w)* -> member(a,sigma(complement(w)))*. % 299.97/300.35 58253[16:Rew:54986.0,51565.1] || equal(u,ordered_pair(universal_set,v))* -> member(a,sigma(complement(compose(w,x))))* ordered_pair_predicate(u)*. % 299.97/300.35 58254[16:Rew:54986.0,51621.2] || subset(universal_set,powerset(f25)) -> single_valued_set(ordered_pair(universal_set,u)) equal(f19(ordered_pair(universal_set,u)),a)**. % 299.97/300.35 67524[16:Res:9.2,58846.0] little_set(successor(a)) || equal(successor(a),u) -> member(a,sigma(non_ordered_pair(u,v)))*. % 299.97/300.35 67525[16:Res:10.2,58846.0] little_set(successor(a)) || equal(successor(a),u) -> member(a,sigma(non_ordered_pair(v,u)))*. % 299.97/300.35 73293[17:Rew:73253.0,57050.1] || subset(universal_set,converse(cross_product(u,v)))* -> member(second(ordered_pair(second(a),first(a))),v)*. % 299.97/300.35 73294[17:Rew:73253.0,57051.1] || subset(universal_set,converse(cross_product(u,v)))* -> member(first(ordered_pair(second(a),first(a))),u)*. % 299.97/300.35 73355[17:Rew:73253.0,73319.2] || subset(universal_set,ordered_pair(u,v))* -> equal(non_ordered_pair(u,v),a) equal(singleton_set(u),a). % 299.97/300.35 78642[16:Res:38.1,56189.0] || member(u,domain_of(v)) -> equal(f8(u,v),a) little_set(f26(f8(u,v)))*. % 299.97/300.35 78644[16:Res:66.1,56189.0] || member(u,sigma(v)) -> equal(f16(u,v),a) little_set(f26(f16(u,v)))*. % 299.97/300.35 78646[16:Res:107.1,56189.0] || member(u,range_of(v)) -> equal(f27(u,v),a) little_set(f26(f27(u,v)))*. % 299.97/300.35 78753[16:Res:55064.2,56189.0] || member(u,v)* -> equal(u,a) equal(f26(u),a) little_set(f26(f26(u)))*. % 299.97/300.35 82668[0:Res:82575.0,1204.2] || member(u,first(v)) member(u,singleton_set(w)) -> member(w,f4(u,v))*. % 299.97/300.35 82669[0:Res:82575.0,1203.2] || member(u,second(v)) member(u,singleton_set(w)) -> member(w,f7(u,v))*. % 299.97/300.35 82670[0:Res:82575.0,1202.2] || member(u,sigma(v)) member(u,singleton_set(w)) -> member(w,f16(u,v))*. % 299.97/300.35 82750[16:Res:82637.1,1284.1] || equal(f28(u,complement(set_b),v),a) member(u,apply(complement(set_b),v))* -> . % 299.97/300.35 82756[16:Res:82637.1,56124.1] little_set(u) || equal(f26(u),a) disjoint(set_b,u)* -> equal(u,a). % 299.97/300.35 82760[16:Res:82637.1,1349.1] || equal(f22(u,v,complement(set_b)),a) member(u,image(v,complement(set_b)))* -> . % 299.97/300.35 82767[16:Res:82637.1,1225.1] || equal(f8(u,v),a) member(u,domain_of(v))* disjoint(set_b,v) -> . % 299.97/300.35 82770[16:Res:82637.1,1223.1] || equal(f27(u,v),a) member(u,range_of(v))* disjoint(set_b,v) -> . % 299.97/300.35 82780[16:Res:82637.1,377.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** -> member(u,converse(set_b)). % 299.97/300.35 82903[3:Res:82638.1,1284.1] || equal(f28(u,complement(set_a),v),a) member(u,apply(complement(set_a),v))* -> . % 299.97/300.35 82909[16:Res:82638.1,56124.1] little_set(u) || equal(f26(u),a) disjoint(set_a,u)* -> equal(u,a). % 299.97/300.35 82913[3:Res:82638.1,1349.1] || equal(f22(u,v,complement(set_a)),a) member(u,image(v,complement(set_a)))* -> . % 299.97/300.35 82920[3:Res:82638.1,1225.1] || equal(f8(u,v),a) member(u,domain_of(v))* disjoint(set_a,v) -> . % 299.97/300.35 82923[3:Res:82638.1,1223.1] || equal(f27(u,v),a) member(u,range_of(v))* disjoint(set_a,v) -> . % 299.97/300.35 82933[3:Res:82638.1,377.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** -> member(u,converse(set_a)). % 299.97/300.35 83057[16:Res:82641.1,1284.1] || equal(f28(u,complement(infinity),v),a) member(u,apply(complement(infinity),v))* -> . % 299.97/300.35 83063[16:Res:82641.1,56124.1] little_set(u) || equal(f26(u),a) disjoint(infinity,u)* -> equal(u,a). % 299.97/300.35 83067[16:Res:82641.1,1349.1] || equal(f22(u,v,complement(infinity)),a) member(u,image(v,complement(infinity)))* -> . % 299.97/300.35 83074[16:Res:82641.1,1225.1] || equal(f8(u,v),a) member(u,domain_of(v))* disjoint(infinity,v) -> . % 299.97/300.35 83077[16:Res:82641.1,1223.1] || equal(f27(u,v),a) member(u,range_of(v))* disjoint(infinity,v) -> . % 299.97/300.35 83087[16:Res:82641.1,377.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** -> member(u,converse(infinity)). % 299.97/300.35 83766[16:Res:83585.1,58999.0] little_set(cross_product(set_a,set_b)) || member(singleton_set(singleton_set(a)),f26(powerset(cross_product(set_a,set_b))))* -> . % 299.97/300.35 83895[16:Res:4258.0,83606.1] || subset(f1(complement(f24(powerset(u))),universal_set),u)* -> equal(complement(f24(powerset(u))),universal_set). % 299.97/300.35 83897[16:Res:25246.0,83606.1] || subset(f1(universal_set,complement(f24(powerset(u)))),u)* -> equal(complement(f24(powerset(u))),universal_set). % 299.97/300.35 83916[16:Res:954.2,83606.1] || subset(u,f24(powerset(v))) subset(f23(u,w),v)* -> disjoint(u,w). % 299.97/300.35 83918[16:Res:961.2,83606.1] || subset(u,f24(powerset(v))) subset(f23(w,u),v)* -> disjoint(w,u). % 299.97/300.35 83920[16:Res:395.0,83606.1] || subset(f17(u,complement(f24(powerset(v)))),v)* -> subset(u,complement(f24(powerset(v)))). % 299.97/300.35 83921[16:Res:955.2,83606.1] || subset(u,f24(powerset(v))) subset(f17(u,w),v)* -> subset(u,w). % 299.97/300.35 83923[16:Res:38.1,83606.1] || member(u,domain_of(f24(powerset(v)))) subset(f8(u,f24(powerset(v))),v)* -> . % 299.97/300.35 83925[16:Res:66.1,83606.1] || member(u,sigma(f24(powerset(v)))) subset(f16(u,f24(powerset(v))),v)* -> . % 299.97/300.35 83927[16:Res:107.1,83606.1] || member(u,range_of(f24(powerset(v)))) subset(f27(u,f24(powerset(v))),v)* -> . % 299.97/300.35 83975[16:Res:46.1,83606.1] || member(u,converse(f24(powerset(v)))) subset(ordered_pair(second(u),first(u)),v)* -> . % 299.97/300.35 84085[2:Res:4258.0,25433.0] || subset(u,f1(complement(image(u,v)),universal_set))* -> equal(complement(image(u,v)),universal_set). % 299.97/300.35 84087[2:Res:25246.0,25433.0] || subset(u,f1(universal_set,complement(image(u,v))))* -> equal(complement(image(u,v)),universal_set). % 299.97/300.35 84106[2:Res:954.2,25433.0] || subset(u,image(v,w))* subset(v,f23(u,x))* -> disjoint(u,x). % 299.97/300.35 84108[2:Res:961.2,25433.0] || subset(u,image(v,w))* subset(v,f23(x,u))* -> disjoint(x,u). % 299.97/300.35 84110[2:Res:395.0,25433.0] || subset(u,f17(v,complement(image(u,w))))* -> subset(v,complement(image(u,w))). % 299.97/300.35 84111[2:Res:955.2,25433.0] || subset(u,image(v,w))* subset(v,f17(u,x))* -> subset(u,x). % 299.97/300.35 84113[2:Res:38.1,25433.0] || member(u,domain_of(image(v,w))) subset(v,f8(u,image(v,w)))* -> . % 299.97/300.35 84115[2:Res:66.1,25433.0] || member(u,sigma(image(v,w))) subset(v,f16(u,image(v,w)))* -> . % 299.97/300.35 84117[2:Res:107.1,25433.0] || member(u,range_of(image(v,w))) subset(v,f27(u,image(v,w)))* -> . % 299.97/300.35 84131[2:Res:960.2,25433.0] || member(u,infinity) subset(infinity,image(v,w))* subset(v,successor(u))* -> . % 299.97/300.35 84165[2:Res:46.1,25433.0] || member(u,converse(image(v,w)))* subset(v,ordered_pair(second(u),first(u)))* -> . % 299.97/300.35 86765[3:SoR:10938.0,3914.2] ordered_pair_predicate(u) || member(universal_set,range_of(v)) equal(first(f27(universal_set,v)),u)* -> . % 299.97/300.35 86766[3:SoR:10938.0,8203.2] little_set(u) || member(universal_set,range_of(v)) equal(u,first(f27(universal_set,v)))* -> . % 299.97/300.35 87623[16:Res:82665.1,492.1] || equal(f8(u,complement(sigma(infinity))),a) member(u,domain_of(complement(sigma(infinity))))* -> . % 299.97/300.35 87625[16:Res:82665.1,425.1] || equal(f27(u,complement(sigma(infinity))),a) member(u,range_of(complement(sigma(infinity))))* -> . % 299.97/300.35 87655[16:Res:82665.1,1019.1] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(complement(sigma(infinity))))* -> . % 299.97/300.35 87660[16:Res:82665.1,1215.0] || equal(ordered_pair(f19(u),f21(u)),a)** disjoint(sigma(infinity),u) -> single_valued_set(u). % 299.97/300.35 87661[16:Res:82665.1,1216.0] || equal(ordered_pair(f19(u),f20(u)),a)** disjoint(sigma(infinity),u) -> single_valued_set(u). % 299.97/300.35 87777[16:Res:82681.1,492.1] || equal(f8(u,complement(successor(a))),a) member(u,domain_of(complement(successor(a))))* -> . % 299.97/300.35 87779[16:Res:82681.1,425.1] || equal(f27(u,complement(successor(a))),a) member(u,range_of(complement(successor(a))))* -> . % 299.97/300.35 87809[16:Res:82681.1,1019.1] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(complement(successor(a))))* -> . % 299.97/300.35 87814[16:Res:82681.1,1215.0] || equal(ordered_pair(f19(u),f21(u)),a)** disjoint(successor(a),u) -> single_valued_set(u). % 299.97/300.35 87815[16:Res:82681.1,1216.0] || equal(ordered_pair(f19(u),f20(u)),a)** disjoint(successor(a),u) -> single_valued_set(u). % 299.97/300.35 87967[16:Rew:87905.1,87781.1] || equal(f1(u,successor(a)),a)** member(a,u) -> equal(u,successor(a)). % 299.97/300.35 87970[16:Rew:87905.1,87627.1] || equal(f1(u,sigma(infinity)),a)** member(a,u) -> equal(u,sigma(infinity)). % 299.97/300.35 88107[3:Res:82671.1,1219.1] || equal(successor(u),infinity) member(u,infinity) disjoint(singleton_set(successor(u)),infinity)* -> . % 299.97/300.35 88216[16:Res:56196.1,58983.0] || equal(f1(complement(ordered_pair(universal_set,u)),a),a)** -> equal(complement(ordered_pair(universal_set,u)),a). % 299.97/300.35 88230[16:MRR:88196.0,5.0] || equal(f1(complement(non_ordered_pair(u,v)),a),v)** -> equal(complement(non_ordered_pair(u,v)),a). % 299.97/300.35 88231[16:MRR:88195.0,5.0] || equal(f1(complement(non_ordered_pair(u,v)),a),u)** -> equal(complement(non_ordered_pair(u,v)),a). % 299.97/300.35 88253[3:Res:88246.0,3829.0] || -> equal(infinity,u) member(f1(infinity,u),u)* member(f1(infinity,u),sigma(singleton_set(infinity)))*. % 299.97/300.35 88254[3:Res:88246.0,3811.0] || -> equal(u,infinity) member(f1(u,infinity),u)* member(f1(u,infinity),sigma(singleton_set(infinity)))*. % 299.97/300.35 88296[16:Res:56196.1,58984.0] || equal(f1(a,complement(ordered_pair(universal_set,u))),a)** -> equal(complement(ordered_pair(universal_set,u)),a). % 299.97/300.35 88310[16:MRR:88276.0,5.0] || equal(f1(a,complement(non_ordered_pair(u,v))),v)** -> equal(complement(non_ordered_pair(u,v)),a). % 299.97/300.35 88311[16:MRR:88275.0,5.0] || equal(f1(a,complement(non_ordered_pair(u,v))),u)** -> equal(complement(non_ordered_pair(u,v)),a). % 299.97/300.35 88415[16:Res:57853.0,10964.0] || -> equal(complement(complement(complement(complement(u)))),a) member(f24(complement(complement(complement(complement(u))))),u)*. % 299.97/300.35 88426[16:Res:57853.0,15955.0] || -> equal(complement(complement(sigma(powerset(u)))),a) member(f24(complement(complement(sigma(powerset(u))))),u)*. % 299.97/300.35 88605[16:Res:88372.0,948.1] || member(u,first(v)) -> member(a,complement(singleton_set(f4(u,v))))* member(u,w)*. % 299.97/300.35 88606[16:Res:88372.0,947.1] || member(u,second(v)) -> member(a,complement(singleton_set(f7(u,v))))* member(u,w)*. % 299.97/300.35 88607[16:Res:88372.0,946.1] || member(u,sigma(v)) -> member(a,complement(singleton_set(f16(u,v))))* member(u,w)*. % 299.97/300.35 89079[16:SpL:57402.0,1500.1] little_set(u) || disjoint(union(v,a),universal_set) -> member(u,intersection(complement(v),universal_set))*. % 299.97/300.35 89080[16:SpL:57520.0,1500.1] little_set(u) || disjoint(union(a,v),universal_set) -> member(u,intersection(universal_set,complement(v)))*. % 299.97/300.35 89148[16:SpL:57402.0,14370.1] || member(u,converse(intersection(complement(v),universal_set)))* member(u,converse(union(v,a))) -> . % 299.97/300.35 89149[16:SpL:57520.0,14370.1] || member(u,converse(intersection(universal_set,complement(v))))* member(u,converse(union(a,v))) -> . % 299.97/300.35 89214[16:Res:55065.2,14370.1] || subset(u,converse(complement(v)))* member(f24(u),converse(v)) -> equal(u,a). % 299.97/300.35 89386[0:Res:71.1,43745.1] || member(f17(flip_range_of(complement(flip_range_of(u))),v),u)* -> subset(flip_range_of(complement(flip_range_of(u))),v). % 299.97/300.35 89388[0:Res:99.1,43745.1] || member(f23(flip_range_of(complement(flip_range_of(u))),v),u)* -> disjoint(flip_range_of(complement(flip_range_of(u))),v). % 299.97/300.35 89399[16:Res:58828.1,43745.1] || member(f1(flip_range_of(complement(flip_range_of(u))),a),u)* -> equal(flip_range_of(complement(flip_range_of(u))),a). % 299.97/300.35 89403[16:Res:58827.1,43745.1] || member(f1(a,flip_range_of(complement(flip_range_of(u)))),u)* -> equal(flip_range_of(complement(flip_range_of(u))),a). % 299.97/300.35 89421[0:Res:100.1,43745.1] || member(f23(u,flip_range_of(complement(flip_range_of(v)))),v)* -> disjoint(u,flip_range_of(complement(flip_range_of(v)))). % 299.97/300.35 89448[16:Res:55065.2,43745.1] || subset(u,flip_range_of(complement(flip_range_of(v))))* member(f24(u),v) -> equal(u,a). % 299.97/300.35 91429[3:SSi:91428.0,371.0] little_set(u) single_valued_set(sigma(universal_set)) || member(v,universal_set)* -> equal(u,f3(v))*. % 299.97/300.35 92562[0:Res:71.1,19261.0] || -> subset(sigma(intersection(u,v)),w) member(f17(sigma(intersection(u,v)),w),sigma(u))*. % 299.97/300.35 92564[0:Res:99.1,19261.0] || -> disjoint(sigma(intersection(u,v)),w) member(f23(sigma(intersection(u,v)),w),sigma(u))*. % 299.97/300.35 92575[16:Res:58828.1,19261.0] || -> equal(sigma(intersection(u,v)),a) member(f1(sigma(intersection(u,v)),a),sigma(u))*. % 299.97/300.35 92579[16:Res:58827.1,19261.0] || -> equal(sigma(intersection(u,v)),a) member(f1(a,sigma(intersection(u,v))),sigma(u))*. % 299.97/300.35 92597[0:Res:100.1,19261.0] || -> disjoint(u,sigma(intersection(v,w))) member(f23(u,sigma(intersection(v,w))),sigma(v))*. % 299.97/300.35 92624[16:Res:55065.2,19261.0] || subset(u,sigma(intersection(v,w)))* -> equal(u,a) member(f24(u),sigma(v)). % 299.97/300.35 92703[0:Res:1155.2,19261.0] || member(u,infinity) member(infinity,intersection(v,w))* -> member(successor(u),sigma(v))*. % 299.97/300.35 92704[0:Res:1150.2,19261.0] || member(u,intersection(v,w))* -> subset(u,x) member(f17(u,x),sigma(v))*. % 299.97/300.35 92705[0:Res:1149.2,19261.0] || member(u,intersection(v,w))* -> disjoint(u,x) member(f23(u,x),sigma(v))*. % 299.97/300.35 92706[0:Res:1157.2,19261.0] || member(u,intersection(v,w))* -> disjoint(x,u) member(f23(x,u),sigma(v))*. % 299.97/300.35 92764[0:Res:71.1,19263.0] || -> subset(sigma(intersection(u,v)),w) member(f17(sigma(intersection(u,v)),w),sigma(v))*. % 299.97/300.35 92766[0:Res:99.1,19263.0] || -> disjoint(sigma(intersection(u,v)),w) member(f23(sigma(intersection(u,v)),w),sigma(v))*. % 299.97/300.35 92777[16:Res:58828.1,19263.0] || -> equal(sigma(intersection(u,v)),a) member(f1(sigma(intersection(u,v)),a),sigma(v))*. % 299.97/300.35 92781[16:Res:58827.1,19263.0] || -> equal(sigma(intersection(u,v)),a) member(f1(a,sigma(intersection(u,v))),sigma(v))*. % 299.97/300.35 92799[0:Res:100.1,19263.0] || -> disjoint(u,sigma(intersection(v,w))) member(f23(u,sigma(intersection(v,w))),sigma(w))*. % 299.97/300.35 92826[16:Res:55065.2,19263.0] || subset(u,sigma(intersection(v,w)))* -> equal(u,a) member(f24(u),sigma(w)). % 299.97/300.35 92905[0:Res:1155.2,19263.0] || member(u,infinity) member(infinity,intersection(v,w))* -> member(successor(u),sigma(w))*. % 299.97/300.35 92906[0:Res:1150.2,19263.0] || member(u,intersection(v,w))* -> subset(u,x) member(f17(u,x),sigma(w))*. % 299.97/300.35 92907[0:Res:1149.2,19263.0] || member(u,intersection(v,w))* -> disjoint(u,x) member(f23(u,x),sigma(w))*. % 299.97/300.35 92908[0:Res:1157.2,19263.0] || member(u,intersection(v,w))* -> disjoint(x,u) member(f23(x,u),sigma(w))*. % 299.97/300.35 93101[16:Res:92484.0,56181.0] || disjoint(u,f24(complement(complement(powerset(u)))))* -> equal(f24(complement(complement(powerset(u)))),a). % 299.97/300.35 93149[16:Res:13975.1,57678.0] || member(intersection(complement(sigma(u)),v),u)* -> equal(intersection(complement(sigma(u)),v),a). % 299.97/300.35 93153[16:Res:17151.1,57678.0] || disjoint(u,intersection(restrict(u,v),w))* -> equal(intersection(restrict(u,v),w),a). % 299.97/300.35 93155[16:Res:14040.1,57678.0] || disjoint(u,intersection(intersection(u,v),w))* -> equal(intersection(intersection(u,v),w),a). % 299.97/300.35 93156[16:Res:14043.1,57678.0] || disjoint(u,intersection(intersection(v,u),w))* -> equal(intersection(intersection(v,u),w),a). % 299.97/300.35 93936[16:Res:13975.1,57709.0] || member(intersection(u,complement(sigma(v))),v)* -> equal(intersection(u,complement(sigma(v))),a). % 299.97/300.35 93940[16:Res:17151.1,57709.0] || disjoint(u,intersection(v,restrict(u,w)))* -> equal(intersection(v,restrict(u,w)),a). % 299.97/300.35 93942[16:Res:14040.1,57709.0] || disjoint(u,intersection(v,intersection(u,w)))* -> equal(intersection(v,intersection(u,w)),a). % 299.97/300.35 93943[16:Res:14043.1,57709.0] || disjoint(u,intersection(v,intersection(w,u)))* -> equal(intersection(v,intersection(w,u)),a). % 299.97/300.35 94183[16:Res:57719.1,70.0] || subset(u,v) -> equal(restrict(u,w),a) member(f24(restrict(u,w)),v)*. % 299.97/300.35 94212[16:Res:57719.1,10964.0] || -> equal(restrict(complement(complement(u)),v),a) member(f24(restrict(complement(complement(u)),v)),u)*. % 299.97/300.35 94217[16:Res:57719.1,31.0] || -> equal(restrict(intersection(u,v),w),a) member(f24(restrict(intersection(u,v),w)),u)*. % 299.97/300.35 94218[16:Res:57719.1,32.0] || -> equal(restrict(intersection(u,v),w),a) member(f24(restrict(intersection(u,v),w)),v)*. % 299.97/300.35 94220[16:Res:57719.1,15955.0] || -> equal(restrict(sigma(powerset(u)),v),a) member(f24(restrict(sigma(powerset(u)),v)),u)*. % 299.97/300.35 94224[16:Res:57719.1,282.0] || -> equal(restrict(restrict(u,v),w),a) member(f24(restrict(restrict(u,v),w)),u)*. % 299.97/300.35 94851[16:Res:91681.1,1021.0] || equal(complement(converse(intersection(u,v))),a)** -> member(ordered_pair(second(infinity),first(infinity)),v)*. % 299.97/300.35 94852[16:Res:91681.1,1020.0] || equal(complement(converse(intersection(u,v))),a)** -> member(ordered_pair(second(infinity),first(infinity)),u)*. % 299.97/300.35 94891[16:Res:91681.1,1467.1] || equal(complement(second(f28(u,v,infinity))),a)** member(u,apply(v,infinity)) -> . % 299.97/300.35 95379[16:Res:92031.1,1021.0] || equal(complement(converse(intersection(u,v))),a)** -> member(ordered_pair(second(a),first(a)),v)*. % 299.97/300.35 95380[16:Res:92031.1,1020.0] || equal(complement(converse(intersection(u,v))),a)** -> member(ordered_pair(second(a),first(a)),u)*. % 299.97/300.35 95421[16:Res:92031.1,1467.1] || equal(complement(second(f28(u,v,a))),a)** member(u,apply(v,a)) -> . % 299.97/300.35 96122[0:SpR:2390.1,122.0] || -> single_valued_set(singleton_set(u)) equal(apply_to_two_arguments(v,f19(singleton_set(u)),f21(singleton_set(u))),apply(v,u))**. % 299.97/300.35 96325[16:Res:1080.2,92502.1] little_set(u) || equal(u,non_ordered_pair(v,w))* equal(ordered_pair(v,w),a) -> . % 299.97/300.35 96497[16:Res:1338.2,92502.1] || member(u,image(v,w))* member(w,x)* equal(sigma(x),a) -> . % 299.97/300.35 96498[16:Res:1273.2,92502.1] || member(u,apply(v,w))* member(v,x)* equal(sigma(x),a) -> . % 299.97/300.35 96499[16:Res:1543.2,92502.1] || member(u,image(v,w))* member(v,x)* equal(sigma(x),a) -> . % 299.97/300.35 96500[16:Res:4272.2,92502.1] || member(u,compose(v,w))* member(w,x)* equal(sigma(x),a) -> . % 299.97/300.35 96501[16:Res:4347.2,92502.1] || member(u,compose(v,w))* member(v,x)* equal(sigma(x),a) -> . % 299.97/300.35 96768[0:SpR:2405.1,122.0] || -> single_valued_set(singleton_set(u)) equal(apply_to_two_arguments(v,f19(singleton_set(u)),f20(singleton_set(u))),apply(v,u))**. % 299.97/300.35 97070[16:MRR:96981.0,55071.1] || disjoint(converse(powerset(ordered_pair(second(f24(u)),first(f24(u))))),u)* -> equal(u,a). % 299.97/300.35 97613[0:Res:71.1,2899.0] || -> subset(domain_of(singleton_set(u)),v) equal(f8(f17(domain_of(singleton_set(u)),v),singleton_set(u)),u)**. % 299.97/300.35 97615[0:Res:99.1,2899.0] || -> disjoint(domain_of(singleton_set(u)),v) equal(f8(f23(domain_of(singleton_set(u)),v),singleton_set(u)),u)**. % 299.97/300.35 97626[16:Res:58828.1,2899.0] || -> equal(domain_of(singleton_set(u)),a) equal(f8(f1(domain_of(singleton_set(u)),a),singleton_set(u)),u)**. % 299.97/300.35 97630[16:Res:58827.1,2899.0] || -> equal(domain_of(singleton_set(u)),a) equal(f8(f1(a,domain_of(singleton_set(u))),singleton_set(u)),u)**. % 299.97/300.35 97649[0:Res:100.1,2899.0] || -> disjoint(u,domain_of(singleton_set(v))) equal(f8(f23(u,domain_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 97732[16:Res:57170.1,2899.0] || subset(universal_set,domain_of(singleton_set(u))) -> equal(f8(ordered_pair(powerset(a),a),singleton_set(u)),u)**. % 299.97/300.35 97733[16:Res:57169.1,2899.0] || subset(f25,domain_of(singleton_set(u))) -> equal(f8(ordered_pair(powerset(a),a),singleton_set(u)),u)**. % 299.97/300.35 97826[0:Res:71.1,2938.0] || -> subset(sigma(singleton_set(u)),v) equal(f16(f17(sigma(singleton_set(u)),v),singleton_set(u)),u)**. % 299.97/300.35 97828[0:Res:99.1,2938.0] || -> disjoint(sigma(singleton_set(u)),v) equal(f16(f23(sigma(singleton_set(u)),v),singleton_set(u)),u)**. % 299.97/300.35 97839[16:Res:58828.1,2938.0] || -> equal(sigma(singleton_set(u)),a) equal(f16(f1(sigma(singleton_set(u)),a),singleton_set(u)),u)**. % 299.97/300.35 97843[16:Res:58827.1,2938.0] || -> equal(sigma(singleton_set(u)),a) equal(f16(f1(a,sigma(singleton_set(u))),singleton_set(u)),u)**. % 299.97/300.35 97862[0:Res:100.1,2938.0] || -> disjoint(u,sigma(singleton_set(v))) equal(f16(f23(u,sigma(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 97945[16:Res:57170.1,2938.0] || subset(universal_set,sigma(singleton_set(u))) -> equal(f16(ordered_pair(powerset(a),a),singleton_set(u)),u)**. % 299.97/300.35 97946[16:Res:57169.1,2938.0] || subset(f25,sigma(singleton_set(u))) -> equal(f16(ordered_pair(powerset(a),a),singleton_set(u)),u)**. % 299.97/300.35 97975[16:Res:55062.2,2938.0] || member(u,singleton_set(v)) -> equal(u,a) equal(f16(f24(u),singleton_set(v)),v)**. % 299.97/300.35 97976[16:Res:55064.2,2938.0] || member(u,singleton_set(v)) -> equal(u,a) equal(f16(f26(u),singleton_set(v)),v)**. % 299.97/300.35 98069[0:Res:71.1,2959.0] || -> subset(range_of(singleton_set(u)),v) equal(f27(f17(range_of(singleton_set(u)),v),singleton_set(u)),u)**. % 299.97/300.35 98071[0:Res:99.1,2959.0] || -> disjoint(range_of(singleton_set(u)),v) equal(f27(f23(range_of(singleton_set(u)),v),singleton_set(u)),u)**. % 299.97/300.35 98082[16:Res:58828.1,2959.0] || -> equal(range_of(singleton_set(u)),a) equal(f27(f1(range_of(singleton_set(u)),a),singleton_set(u)),u)**. % 299.97/300.35 98086[16:Res:58827.1,2959.0] || -> equal(range_of(singleton_set(u)),a) equal(f27(f1(a,range_of(singleton_set(u))),singleton_set(u)),u)**. % 299.97/300.35 98105[0:Res:100.1,2959.0] || -> disjoint(u,range_of(singleton_set(v))) equal(f27(f23(u,range_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 98188[16:Res:57170.1,2959.0] || subset(universal_set,range_of(singleton_set(u))) -> equal(f27(ordered_pair(powerset(a),a),singleton_set(u)),u)**. % 299.97/300.35 98189[16:Res:57169.1,2959.0] || subset(f25,range_of(singleton_set(u))) -> equal(f27(ordered_pair(powerset(a),a),singleton_set(u)),u)**. % 299.97/300.35 98403[0:Res:8090.0,34.1] || member(f17(complement(complement(complement(u))),v),u)* -> subset(complement(complement(complement(u))),v). % 299.97/300.35 98519[0:Res:9082.0,34.1] || member(f23(u,complement(complement(complement(v)))),v)* -> disjoint(u,complement(complement(complement(v)))). % 299.97/300.35 98709[0:Res:9151.0,34.1] || member(f23(complement(complement(complement(u))),v),u)* -> disjoint(complement(complement(complement(u))),v). % 299.97/300.35 98862[16:Res:98045.1,1241.2] || disjoint(set_b,non_ordered_pair(u,v))* equal(w,v)* member(w,powerset(a))* -> . % 299.97/300.35 98863[16:Res:98045.1,1242.2] || disjoint(set_b,non_ordered_pair(u,v))* equal(w,u)* member(w,powerset(a))* -> . % 299.97/300.35 99295[0:Res:18201.1,20288.0] ordered_pair_predicate(set_b) || disjoint(converse(complement(u)),converse(complement(u)))* -> member(set_b,converse(u)). % 299.97/300.35 99297[0:Res:18201.1,20289.0] ordered_pair_predicate(set_a) || disjoint(converse(complement(u)),converse(complement(u)))* -> member(set_a,converse(u)). % 299.97/300.35 99315[16:Res:18201.1,58846.0] ordered_pair_predicate(successor(a)) || -> member(successor(a),converse(u)) member(a,sigma(converse(complement(u))))*. % 299.97/300.35 99328[16:Res:18201.1,55400.0] ordered_pair_predicate(powerset(u)) || -> member(powerset(u),converse(v))* member(a,sigma(converse(complement(v))))*. % 299.97/300.35 99442[3:MRR:99325.0,6165.1] || member(u,infinity) disjoint(converse(complement(v)),infinity) -> member(successor(u),converse(v))*. % 299.97/300.35 99443[3:MRR:99336.0,6168.1] || disjoint(converse(complement(u)),v) -> member(f17(v,w),converse(u))* subset(v,w). % 299.97/300.35 99444[3:MRR:99335.0,6167.1] || disjoint(converse(complement(u)),v) -> member(f23(w,v),converse(u))* disjoint(w,v). % 299.97/300.35 99445[3:MRR:99334.0,6167.1] || disjoint(converse(complement(u)),v) -> member(f23(v,w),converse(u))* disjoint(v,w). % 299.97/300.35 99457[3:MRR:99316.0,6167.1] || -> member(f23(u,complement(converse(complement(v)))),converse(v))* disjoint(u,complement(converse(complement(v)))). % 299.97/300.35 99458[16:MRR:99309.0,6237.1] || -> member(f1(a,complement(converse(complement(u)))),converse(u))* equal(complement(converse(complement(u))),a). % 299.97/300.35 99459[16:MRR:99308.0,6237.1] || -> member(f1(complement(converse(complement(u))),a),converse(u))* equal(complement(converse(complement(u))),a). % 299.97/300.35 99460[3:MRR:99302.0,6167.1] || -> member(f23(complement(converse(complement(u))),v),converse(u))* disjoint(complement(converse(complement(u))),v). % 299.97/300.35 99461[3:MRR:99301.0,6168.1] || -> member(f17(complement(converse(complement(u))),v),converse(u))* subset(complement(converse(complement(u))),v). % 299.97/300.35 99615[0:Res:22366.2,4163.0] ordered_pair_predicate(u) || member(f1(first(u),universal_set),f2(u))* -> equal(first(u),universal_set). % 299.97/300.35 99629[0:Res:22366.2,72.0] ordered_pair_predicate(u) || member(f17(v,first(u)),f2(u))* -> subset(v,first(u)). % 299.97/300.35 99692[16:Res:22366.2,58883.1] ordered_pair_predicate(u) || member(singleton_set(singleton_set(a)),f2(u))* disjoint(universal_set,first(u)) -> . % 299.97/300.35 99738[0:MRR:99588.0,37.1] || member(u,domain_of(v)) member(w,f2(f8(u,v)))* -> member(w,u). % 299.97/300.35 99809[0:Res:22612.2,4163.0] ordered_pair_predicate(u) || member(f1(second(u),universal_set),f3(u))* -> equal(second(u),universal_set). % 299.97/300.35 99823[0:Res:22612.2,72.0] ordered_pair_predicate(u) || member(f17(v,second(u)),f3(u))* -> subset(v,second(u)). % 299.97/300.35 99889[16:Res:22612.2,58883.1] ordered_pair_predicate(u) || member(singleton_set(singleton_set(a)),f3(u))* disjoint(universal_set,second(u)) -> . % 299.97/300.35 99937[0:MRR:99781.0,106.1] || member(u,range_of(v)) member(w,f3(f27(u,v)))* -> member(w,u). % 299.97/300.35 99984[16:Res:59019.2,42.0] || subset(u,cross_product(v,w))* -> equal(u,a) member(first(f1(u,a)),v)*. % 299.97/300.35 99985[16:Res:59019.2,43.0] || subset(u,cross_product(v,w))* -> equal(u,a) member(second(f1(u,a)),w)*. % 299.97/300.35 100011[16:Res:59019.2,560.0] || subset(u,domain_of(cross_product(v,w)))* -> equal(u,a) member(f1(u,a),v). % 299.97/300.35 100014[16:Res:59019.2,547.0] || subset(u,range_of(cross_product(v,w)))* -> equal(u,a) member(f1(u,a),w). % 299.97/300.35 100027[16:Res:59019.2,25433.0] || subset(u,image(v,w))* subset(v,f1(u,a))* -> equal(u,a). % 299.97/300.35 100039[16:Res:59019.2,83606.1] || subset(u,f24(powerset(v))) subset(f1(u,a),v)* -> equal(u,a). % 299.97/300.35 100160[16:Res:98305.0,57998.0] || -> member(u,f24(complement(powerset(complement(singleton_set(u))))))* equal(complement(powerset(complement(singleton_set(u)))),a). % 299.97/300.35 100167[0:Res:98305.0,948.1] || member(u,first(v)) -> member(w,f4(u,v))* member(u,complement(singleton_set(w)))*. % 299.97/300.35 100168[0:Res:98305.0,947.1] || member(u,second(v)) -> member(w,f7(u,v))* member(u,complement(singleton_set(w)))*. % 299.97/300.35 100169[0:Res:98305.0,946.1] || member(u,sigma(v)) -> member(w,f16(u,v))* member(u,complement(singleton_set(w)))*. % 299.97/300.35 100170[0:Res:98305.0,945.1] little_set(u) || -> member(v,complement(w))* member(u,w)* member(u,complement(singleton_set(v)))*. % 299.97/300.35 100273[16:Res:56165.2,39682.0] || subset(u,powerset(complement(f24(u))))* -> equal(u,a) member(infinity,complement(f24(u))). % 299.97/300.35 100405[16:Res:83578.0,56166.0] || -> equal(f1(powerset(singleton_set(u)),a),a) equal(f24(f1(powerset(singleton_set(u)),a)),u)**. % 299.97/300.35 100406[16:Res:83579.0,56166.0] || -> equal(f1(a,powerset(singleton_set(u))),a) equal(f24(f1(a,powerset(singleton_set(u)))),u)**. % 299.97/300.35 100454[16:MRR:100428.1,92296.0] || member(u,sigma(powerset(singleton_set(v)))) -> equal(f24(f16(u,powerset(singleton_set(v)))),v)**. % 299.97/300.35 100597[16:Res:59021.2,42.0] || subset(u,cross_product(v,w))* -> equal(a,u) member(first(f1(a,u)),v)*. % 299.97/300.35 100598[16:Res:59021.2,43.0] || subset(u,cross_product(v,w))* -> equal(a,u) member(second(f1(a,u)),w)*. % 299.97/300.35 100624[16:Res:59021.2,560.0] || subset(u,domain_of(cross_product(v,w)))* -> equal(a,u) member(f1(a,u),v). % 299.97/300.35 100627[16:Res:59021.2,547.0] || subset(u,range_of(cross_product(v,w)))* -> equal(a,u) member(f1(a,u),w). % 299.97/300.35 100640[16:Res:59021.2,25433.0] || subset(u,image(v,w))* subset(v,f1(a,u))* -> equal(a,u). % 299.97/300.35 100652[16:Res:59021.2,83606.1] || subset(u,f24(powerset(v))) subset(f1(a,u),v)* -> equal(a,u). % 299.97/300.35 100782[16:Res:59048.1,34.1] || member(f1(intersection(complement(u),v),a),u)* -> equal(intersection(complement(u),v),a). % 299.97/300.35 100899[16:Res:59049.1,34.1] || member(f1(intersection(u,complement(v)),a),v)* -> equal(intersection(u,complement(v)),a). % 299.97/300.35 101000[16:Res:59050.1,34.1] || member(f1(a,intersection(complement(u),v)),u)* -> equal(intersection(complement(u),v),a). % 299.97/300.35 101139[16:Res:59051.1,34.1] || member(f1(a,intersection(u,complement(v))),v)* -> equal(intersection(u,complement(v)),a). % 299.97/300.35 101242[16:Res:100563.1,1241.2] || disjoint(set_a,non_ordered_pair(u,v))* equal(w,v)* member(w,powerset(a))* -> . % 299.97/300.35 101243[16:Res:100563.1,1242.2] || disjoint(set_a,non_ordered_pair(u,v))* equal(w,u)* member(w,powerset(a))* -> . % 299.97/300.35 101333[16:Res:59052.1,34.1] || member(f1(restrict(complement(u),v),a),u)* -> equal(restrict(complement(u),v),a). % 299.97/300.35 101593[16:Res:59053.1,34.1] || member(f1(a,restrict(complement(u),v)),u)* -> equal(restrict(complement(u),v),a). % 299.97/300.35 101697[16:Res:57867.1,42.0] || disjoint(complement(cross_product(u,v)),w)* -> equal(w,a) member(first(f24(w)),u). % 299.97/300.35 101698[16:Res:57867.1,43.0] || disjoint(complement(cross_product(u,v)),w)* -> equal(w,a) member(second(f24(w)),v). % 299.97/300.35 101724[16:Res:57867.1,560.0] || disjoint(complement(domain_of(cross_product(u,v))),w)* -> equal(w,a) member(f24(w),u). % 299.97/300.35 101727[16:Res:57867.1,547.0] || disjoint(complement(range_of(cross_product(u,v))),w)* -> equal(w,a) member(f24(w),v). % 299.97/300.35 101740[16:Res:57867.1,25433.0] || disjoint(complement(image(u,v)),w)* subset(u,f24(w)) -> equal(w,a). % 299.97/300.35 101752[16:Res:57867.1,83606.1] || disjoint(complement(f24(powerset(u))),v)* subset(f24(v),u) -> equal(v,a). % 299.97/300.35 101863[0:Res:3813.2,34.1] || disjoint(u,universal_set) member(f1(complement(v),u),v)* -> equal(complement(v),u). % 299.97/300.35 101918[0:Obv:101887.1] || disjoint(complement(u),universal_set) -> member(f1(v,complement(u)),u)* equal(v,complement(u)). % 299.97/300.35 101997[0:Res:3831.2,34.1] || disjoint(u,universal_set) member(f1(u,complement(v)),v)* -> equal(u,complement(v)). % 299.97/300.35 102436[16:Res:102160.1,1241.2] || disjoint(infinity,non_ordered_pair(u,v))* equal(w,v)* member(w,powerset(a))* -> . % 299.97/300.35 102437[16:Res:102160.1,1242.2] || disjoint(infinity,non_ordered_pair(u,v))* equal(w,u)* member(w,powerset(a))* -> . % 299.97/300.35 103657[16:Res:57170.1,16184.0] || subset(universal_set,domain_of(intersection(cross_product(u,v),w)))* -> member(ordered_pair(powerset(a),a),u). % 299.97/300.35 103658[16:Res:57169.1,16184.0] || subset(f25,domain_of(intersection(cross_product(u,v),w)))* -> member(ordered_pair(powerset(a),a),u). % 299.97/300.35 103899[16:Res:57170.1,16416.0] || subset(universal_set,domain_of(intersection(u,cross_product(v,w))))* -> member(ordered_pair(powerset(a),a),v). % 299.97/300.35 103900[16:Res:57169.1,16416.0] || subset(f25,domain_of(intersection(u,cross_product(v,w))))* -> member(ordered_pair(powerset(a),a),v). % 299.97/300.35 104144[16:Res:57170.1,17439.0] || subset(universal_set,range_of(intersection(cross_product(u,v),w)))* -> member(ordered_pair(powerset(a),a),v). % 299.97/300.35 104145[16:Res:57169.1,17439.0] || subset(f25,range_of(intersection(cross_product(u,v),w)))* -> member(ordered_pair(powerset(a),a),v). % 299.97/300.35 104421[16:Res:57170.1,17546.0] || subset(universal_set,range_of(intersection(u,cross_product(v,w))))* -> member(ordered_pair(powerset(a),a),w). % 299.97/300.35 104422[16:Res:57169.1,17546.0] || subset(f25,range_of(intersection(u,cross_product(v,w))))* -> member(ordered_pair(powerset(a),a),w). % 299.97/300.35 104567[0:Res:18826.1,20288.0] little_set(set_b) || disjoint(union(u,v),union(u,v))* -> member(set_b,complement(u)). % 299.97/300.35 104569[0:Res:18826.1,20289.0] little_set(set_a) || disjoint(union(u,v),union(u,v))* -> member(set_a,complement(u)). % 299.97/300.35 104588[16:Res:18826.1,58846.0] little_set(successor(a)) || -> member(successor(a),complement(u)) member(a,sigma(union(u,v)))*. % 299.97/300.35 104601[16:Res:18826.1,55400.0] little_set(powerset(u)) || -> member(powerset(u),complement(v))* member(a,sigma(union(v,w)))*. % 299.97/300.35 104707[0:MRR:104598.0,197.1] || member(u,infinity) disjoint(union(v,w),infinity)* -> member(successor(u),complement(v))*. % 299.97/300.35 104708[0:MRR:104609.0,213.1] || disjoint(union(u,v),w)* -> member(f17(w,x),complement(u))* subset(w,x). % 299.97/300.35 104709[0:MRR:104608.0,203.1] || disjoint(union(u,v),w)* -> member(f23(x,w),complement(u))* disjoint(x,w). % 299.97/300.35 104710[0:MRR:104607.0,203.1] || disjoint(union(u,v),w)* -> member(f23(w,x),complement(u))* disjoint(w,x). % 299.97/300.35 104725[0:MRR:104589.0,203.1] || -> member(f23(u,complement(union(v,w))),complement(v))* disjoint(u,complement(union(v,w))). % 299.97/300.35 104726[16:MRR:104581.0,5.0] || -> member(f1(a,complement(union(u,v))),complement(u))* equal(complement(union(u,v)),a). % 299.97/300.35 104727[16:MRR:104580.0,5.0] || -> member(f1(complement(union(u,v)),a),complement(u))* equal(complement(union(u,v)),a). % 299.97/300.35 104728[0:MRR:104574.0,203.1] || -> member(f23(complement(union(u,v)),w),complement(u))* disjoint(complement(union(u,v)),w). % 299.97/300.35 104729[0:MRR:104573.0,213.1] || -> member(f17(complement(union(u,v)),w),complement(u))* subset(complement(union(u,v)),w). % 299.97/300.35 104911[0:Res:18827.1,20288.0] little_set(set_b) || disjoint(union(u,v),union(u,v))* -> member(set_b,complement(v)). % 299.97/300.35 104913[0:Res:18827.1,20289.0] little_set(set_a) || disjoint(union(u,v),union(u,v))* -> member(set_a,complement(v)). % 299.97/300.35 104932[16:Res:18827.1,58846.0] little_set(successor(a)) || -> member(successor(a),complement(u)) member(a,sigma(union(v,u)))*. % 299.97/300.35 104945[16:Res:18827.1,55400.0] little_set(powerset(u)) || -> member(powerset(u),complement(v))* member(a,sigma(union(w,v)))*. % 299.97/300.35 105053[0:MRR:104942.0,197.1] || member(u,infinity) disjoint(union(v,w),infinity)* -> member(successor(u),complement(w))*. % 299.97/300.35 105054[0:MRR:104953.0,213.1] || disjoint(union(u,v),w)* -> member(f17(w,x),complement(v))* subset(w,x). % 299.97/300.35 105055[0:MRR:104952.0,203.1] || disjoint(union(u,v),w)* -> member(f23(x,w),complement(v))* disjoint(x,w). % 299.97/300.35 105056[0:MRR:104951.0,203.1] || disjoint(union(u,v),w)* -> member(f23(w,x),complement(v))* disjoint(w,x). % 299.97/300.35 105071[0:MRR:104933.0,203.1] || -> member(f23(u,complement(union(v,w))),complement(w))* disjoint(u,complement(union(v,w))). % 299.97/300.35 105072[16:MRR:104925.0,5.0] || -> member(f1(a,complement(union(u,v))),complement(v))* equal(complement(union(u,v)),a). % 299.97/300.35 105073[16:MRR:104924.0,5.0] || -> member(f1(complement(union(u,v)),a),complement(v))* equal(complement(union(u,v)),a). % 299.97/300.35 105074[0:MRR:104918.0,203.1] || -> member(f23(complement(union(u,v)),w),complement(v))* disjoint(complement(union(u,v)),w). % 299.97/300.35 105075[0:MRR:104917.0,213.1] || -> member(f17(complement(union(u,v)),w),complement(v))* subset(complement(union(u,v)),w). % 299.97/300.35 105374[16:Res:57170.1,26698.0] || subset(universal_set,apply(cross_product(u,v),w))* -> member(ordered_pair(powerset(a),a),sigma(v)). % 299.97/300.35 105375[16:Res:57169.1,26698.0] || subset(f25,apply(cross_product(u,v),w))* -> member(ordered_pair(powerset(a),a),sigma(v)). % 299.97/300.35 657[0:Res:395.0,547.0] || -> subset(u,complement(range_of(cross_product(v,w)))) member(f17(u,complement(range_of(cross_product(v,w)))),w)*. % 299.97/300.35 672[0:Res:395.0,560.0] || -> subset(u,complement(domain_of(cross_product(v,w)))) member(f17(u,complement(domain_of(cross_product(v,w)))),v)*. % 299.97/300.35 638[0:Rew:36.0,618.1] || -> member(f17(u,union(v,w)),intersection(complement(v),complement(w)))* subset(u,union(v,w)). % 299.97/300.35 660[0:Res:38.1,547.0] || member(u,domain_of(range_of(cross_product(v,w)))) -> member(f8(u,range_of(cross_product(v,w))),w)*. % 299.97/300.35 675[0:Res:38.1,560.0] || member(u,domain_of(domain_of(cross_product(v,w)))) -> member(f8(u,domain_of(cross_product(v,w))),v)*. % 299.97/300.35 659[0:Res:66.1,547.0] || member(u,sigma(range_of(cross_product(v,w)))) -> member(f16(u,range_of(cross_product(v,w))),w)*. % 299.97/300.35 674[0:Res:66.1,560.0] || member(u,sigma(domain_of(cross_product(v,w)))) -> member(f16(u,domain_of(cross_product(v,w))),v)*. % 299.97/300.35 658[0:Res:107.1,547.0] || member(u,range_of(range_of(cross_product(v,w)))) -> member(f27(u,range_of(cross_product(v,w))),w)*. % 299.97/300.35 673[0:Res:107.1,560.0] || member(u,range_of(domain_of(cross_product(v,w)))) -> member(f27(u,domain_of(cross_product(v,w))),v)*. % 299.97/300.35 1352[0:Res:93.1,282.0] || member(u,image(v,restrict(w,x))) -> member(f22(u,v,restrict(w,x)),w)*. % 299.97/300.35 1287[0:Res:118.1,282.0] || member(u,apply(restrict(v,w),x)) -> member(f28(u,restrict(v,w),x),v)*. % 299.97/300.35 3822[0:Res:6.1,1444.0] || -> equal(u,singleton_set(v)) member(f1(u,singleton_set(v)),u)* equal(f1(u,singleton_set(v)),v). % 299.97/300.35 3840[0:Res:6.2,1444.0] || -> equal(singleton_set(u),v) member(f1(singleton_set(u),v),v)* equal(f1(singleton_set(u),v),u). % 299.97/300.35 4484[3:SSi:4465.0,159.0,991.0] || member(second(a),u) member(first(a),v) disjoint(cross_product(v,u),set_a)* -> . % 299.97/300.35 6030[0:Rew:36.0,5386.1] || -> member(f1(union(u,v),universal_set),intersection(complement(u),complement(v)))* equal(union(u,v),universal_set). % 299.97/300.35 7237[0:Res:4258.0,547.0] || -> equal(complement(range_of(cross_product(u,v))),universal_set) member(f1(complement(range_of(cross_product(u,v))),universal_set),v)*. % 299.97/300.35 7283[0:Res:4258.0,560.0] || -> equal(complement(domain_of(cross_product(u,v))),universal_set) member(f1(complement(domain_of(cross_product(u,v))),universal_set),u)*. % 299.97/300.35 7876[3:Res:71.1,6176.0] || -> subset(converse(u),v) ordered_pair_predicate(ordered_pair(second(f17(converse(u),v)),first(f17(converse(u),v))))*. % 299.97/300.35 7877[3:Res:99.1,6176.0] || -> disjoint(converse(u),v) ordered_pair_predicate(ordered_pair(second(f23(converse(u),v)),first(f23(converse(u),v))))*. % 299.97/300.35 7886[3:Res:100.1,6176.0] || -> disjoint(u,converse(v)) ordered_pair_predicate(ordered_pair(second(f23(u,converse(v))),first(f23(u,converse(v)))))*. % 299.97/300.35 7948[0:Res:4258.0,274.0] || -> equal(complement(restrict(u,v)),universal_set) member(f1(complement(restrict(u,v)),universal_set),cross_product(v,universal_set))*. % 299.97/300.35 7951[0:Res:395.0,274.0] || -> subset(u,complement(restrict(v,w))) member(f17(u,complement(restrict(v,w))),cross_product(w,universal_set))*. % 299.97/300.35 7952[0:Res:38.1,274.0] || member(u,domain_of(restrict(v,w))) -> member(f8(u,restrict(v,w)),cross_product(w,universal_set))*. % 299.97/300.35 7953[0:Res:66.1,274.0] || member(u,sigma(restrict(v,w))) -> member(f16(u,restrict(v,w)),cross_product(w,universal_set))*. % 299.97/300.35 7954[0:Res:107.1,274.0] || member(u,range_of(restrict(v,w))) -> member(f27(u,restrict(v,w)),cross_product(w,universal_set))*. % 299.97/300.35 7960[0:Res:46.1,274.0] || member(u,converse(restrict(v,w)))* -> member(ordered_pair(second(u),first(u)),cross_product(w,universal_set))*. % 299.97/300.35 8185[0:Res:1079.2,68.0] little_set(u) || equal(u,v)* member(singleton_set(v),w)* -> member(u,sigma(w))*. % 299.97/300.35 8212[0:SSi:8199.0,371.0] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),v)* -> member(u,converse(singleton_set(v)))*. % 299.97/300.35 9429[0:Res:46.1,4549.0] || member(u,converse(flip_range_of(v)))* equal(w,ordered_pair(second(u),first(u)))* -> ordered_pair_predicate(w)*. % 299.97/300.35 9710[0:Res:46.1,4578.0] || member(u,converse(rotate_right(v)))* equal(w,ordered_pair(second(u),first(u)))* -> ordered_pair_predicate(w)*. % 299.97/300.35 9833[0:Res:71.1,1354.0] || -> subset(image(u,cross_product(v,w)),x) member(f17(image(u,cross_product(v,w)),x),w)*. % 299.97/300.35 9834[0:Res:99.1,1354.0] || -> disjoint(image(u,cross_product(v,w)),x) member(f23(image(u,cross_product(v,w)),x),w)*. % 299.97/300.35 9843[0:Res:100.1,1354.0] || -> disjoint(u,image(v,cross_product(w,x))) member(f23(u,image(v,cross_product(w,x))),x)*. % 299.97/300.35 9855[0:Res:46.1,1354.0] || member(u,converse(image(v,cross_product(w,x))))* -> member(ordered_pair(second(u),first(u)),x)*. % 299.97/300.35 10224[0:Res:960.2,70.0] || member(u,infinity) subset(infinity,v)* subset(v,w)* -> member(successor(u),w)*. % 299.97/300.35 10230[0:Res:960.2,4549.0] || member(u,infinity)* subset(infinity,flip_range_of(v))* equal(w,successor(u))* -> ordered_pair_predicate(w)*. % 299.97/300.35 10231[0:Res:960.2,4578.0] || member(u,infinity)* subset(infinity,rotate_right(v))* equal(w,successor(u))* -> ordered_pair_predicate(w)*. % 299.97/300.35 10241[0:Res:960.2,274.0] || member(u,infinity) subset(infinity,restrict(v,w))* -> member(successor(u),cross_product(w,universal_set))*. % 299.97/300.35 10243[0:Res:960.2,1354.0] || member(u,infinity) subset(infinity,image(v,cross_product(w,x)))* -> member(successor(u),x)*. % 299.97/300.35 10868[6:EmS:10805.0,17.3] little_set(u) little_set(v) || equal(universal_set,w) equal(w,ordered_pair(u,v))* -> . % 299.97/300.35 11222[0:Res:278.1,70.0] || subset(u,v) -> subset(intersection(w,u),x) member(f17(intersection(w,u),x),v)*. % 299.97/300.35 11238[0:Res:278.1,31.0] || -> subset(intersection(u,intersection(v,w)),x) member(f17(intersection(u,intersection(v,w)),x),v)*. % 299.97/300.35 11239[0:Res:278.1,32.0] || -> subset(intersection(u,intersection(v,w)),x) member(f17(intersection(u,intersection(v,w)),x),w)*. % 299.97/300.35 11241[0:Res:278.1,282.0] || -> subset(intersection(u,restrict(v,w)),x) member(f17(intersection(u,restrict(v,w)),x),v)*. % 299.97/300.35 11280[0:Res:286.1,70.0] || subset(u,v) -> subset(intersection(u,w),x) member(f17(intersection(u,w),x),v)*. % 299.97/300.35 11296[0:Res:286.1,31.0] || -> subset(intersection(intersection(u,v),w),x) member(f17(intersection(intersection(u,v),w),x),u)*. % 299.97/300.35 11297[0:Res:286.1,32.0] || -> subset(intersection(intersection(u,v),w),x) member(f17(intersection(intersection(u,v),w),x),v)*. % 299.97/300.35 11299[0:Res:286.1,282.0] || -> subset(intersection(restrict(u,v),w),x) member(f17(intersection(restrict(u,v),w),x),u)*. % 299.97/300.35 11330[0:Res:955.2,70.0] || subset(u,v)* subset(v,w)* -> subset(u,x) member(f17(u,x),w)*. % 299.97/300.35 11336[0:Res:955.2,4549.0] || subset(u,flip_range_of(v))* equal(w,f17(u,x))* -> subset(u,x) ordered_pair_predicate(w)*. % 299.97/300.35 11337[0:Res:955.2,4578.0] || subset(u,rotate_right(v))* equal(w,f17(u,x))* -> subset(u,x) ordered_pair_predicate(w)*. % 299.97/300.35 11349[0:Res:955.2,274.0] || subset(u,restrict(v,w))* -> subset(u,x) member(f17(u,x),cross_product(w,universal_set))*. % 299.97/300.35 11351[0:Res:955.2,1354.0] || subset(u,image(v,cross_product(w,x)))* -> subset(u,y) member(f17(u,y),x)*. % 299.97/300.35 11412[0:Res:961.2,70.0] || subset(u,v)* subset(v,w)* -> disjoint(x,u) member(f23(x,u),w)*. % 299.97/300.35 11418[0:Res:961.2,4549.0] || subset(u,flip_range_of(v))* equal(w,f23(x,u))* -> disjoint(x,u) ordered_pair_predicate(w)*. % 299.97/300.35 11419[0:Res:961.2,4578.0] || subset(u,rotate_right(v))* equal(w,f23(x,u))* -> disjoint(x,u) ordered_pair_predicate(w)*. % 299.97/300.35 11431[0:Res:961.2,274.0] || subset(u,restrict(v,w))* -> disjoint(x,u) member(f23(x,u),cross_product(w,universal_set))*. % 299.97/300.35 11433[0:Res:961.2,1354.0] || subset(u,image(v,cross_product(w,x)))* -> disjoint(y,u) member(f23(y,u),x)*. % 299.97/300.35 11525[0:Res:954.2,70.0] || subset(u,v)* subset(v,w)* -> disjoint(u,x) member(f23(u,x),w)*. % 299.97/300.35 11531[0:Res:954.2,4549.0] || subset(u,flip_range_of(v))* equal(w,f23(u,x))* -> disjoint(u,x) ordered_pair_predicate(w)*. % 299.97/300.35 11532[0:Res:954.2,4578.0] || subset(u,rotate_right(v))* equal(w,f23(u,x))* -> disjoint(u,x) ordered_pair_predicate(w)*. % 299.97/300.35 11544[0:Res:954.2,274.0] || subset(u,restrict(v,w))* -> disjoint(u,x) member(f23(u,x),cross_product(w,universal_set))*. % 299.97/300.35 11546[0:Res:954.2,1354.0] || subset(u,image(v,cross_product(w,x)))* -> disjoint(u,y) member(f23(u,y),x)*. % 299.97/300.35 11612[0:Res:285.1,70.0] || subset(u,v) -> disjoint(intersection(u,w),x) member(f23(intersection(u,w),x),v)*. % 299.97/300.35 11628[0:Res:285.1,31.0] || -> disjoint(intersection(intersection(u,v),w),x) member(f23(intersection(intersection(u,v),w),x),u)*. % 299.97/300.35 11629[0:Res:285.1,32.0] || -> disjoint(intersection(intersection(u,v),w),x) member(f23(intersection(intersection(u,v),w),x),v)*. % 299.97/300.35 11631[0:Res:285.1,282.0] || -> disjoint(intersection(restrict(u,v),w),x) member(f23(intersection(restrict(u,v),w),x),u)*. % 299.97/300.35 11706[0:Res:289.1,70.0] || subset(u,v) -> disjoint(w,intersection(u,x)) member(f23(w,intersection(u,x)),v)*. % 299.97/300.35 11722[0:Res:289.1,31.0] || -> disjoint(u,intersection(intersection(v,w),x)) member(f23(u,intersection(intersection(v,w),x)),v)*. % 299.97/300.35 11723[0:Res:289.1,32.0] || -> disjoint(u,intersection(intersection(v,w),x)) member(f23(u,intersection(intersection(v,w),x)),w)*. % 299.97/300.35 11725[0:Res:289.1,282.0] || -> disjoint(u,intersection(restrict(v,w),x)) member(f23(u,intersection(restrict(v,w),x)),v)*. % 299.97/300.35 11804[0:Res:277.1,70.0] || subset(u,v) -> disjoint(intersection(w,u),x) member(f23(intersection(w,u),x),v)*. % 299.97/300.35 11820[0:Res:277.1,31.0] || -> disjoint(intersection(u,intersection(v,w)),x) member(f23(intersection(u,intersection(v,w)),x),v)*. % 299.97/300.35 11821[0:Res:277.1,32.0] || -> disjoint(intersection(u,intersection(v,w)),x) member(f23(intersection(u,intersection(v,w)),x),w)*. % 299.97/300.35 11823[0:Res:277.1,282.0] || -> disjoint(intersection(u,restrict(v,w)),x) member(f23(intersection(u,restrict(v,w)),x),v)*. % 299.97/300.35 11965[0:Res:281.1,70.0] || subset(u,v) -> disjoint(w,intersection(x,u)) member(f23(w,intersection(x,u)),v)*. % 299.97/300.35 11981[0:Res:281.1,31.0] || -> disjoint(u,intersection(v,intersection(w,x))) member(f23(u,intersection(v,intersection(w,x))),w)*. % 299.97/300.35 11982[0:Res:281.1,32.0] || -> disjoint(u,intersection(v,intersection(w,x))) member(f23(u,intersection(v,intersection(w,x))),x)*. % 299.97/300.35 11984[0:Res:281.1,282.0] || -> disjoint(u,intersection(v,restrict(w,x))) member(f23(u,intersection(v,restrict(w,x))),w)*. % 299.97/300.35 12064[0:SSi:12047.0,371.0] || equal(ordered_pair(f19(complement(singleton_set(u))),f21(complement(singleton_set(u)))),u)** -> single_valued_set(complement(singleton_set(u))). % 299.97/300.35 12065[0:SSi:12046.0,371.0] || subset(ordered_pair(f19(complement(powerset(u))),f21(complement(powerset(u)))),u)* -> single_valued_set(complement(powerset(u))). % 299.97/300.35 12134[0:SSi:12117.0,371.0] || equal(ordered_pair(f19(complement(singleton_set(u))),f20(complement(singleton_set(u)))),u)** -> single_valued_set(complement(singleton_set(u))). % 299.97/300.35 12135[0:SSi:12116.0,371.0] || subset(ordered_pair(f19(complement(powerset(u))),f20(complement(powerset(u)))),u)* -> single_valued_set(complement(powerset(u))). % 299.97/300.35 12892[0:Res:956.2,42.0] || subset(u,cross_product(v,w))* -> single_valued_set(u) member(first(ordered_pair(f19(u),f21(u))),v)*. % 299.97/300.35 12893[0:Res:956.2,43.0] || subset(u,cross_product(v,w))* -> single_valued_set(u) member(second(ordered_pair(f19(u),f21(u))),w)*. % 299.97/300.35 12905[0:Res:956.2,560.0] || subset(u,domain_of(cross_product(v,w)))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.35 12906[0:Res:956.2,547.0] || subset(u,range_of(cross_product(v,w)))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),w)*. % 299.97/300.35 13007[0:Res:957.2,42.0] || subset(u,cross_product(v,w))* -> single_valued_set(u) member(first(ordered_pair(f19(u),f20(u))),v)*. % 299.97/300.35 13008[0:Res:957.2,43.0] || subset(u,cross_product(v,w))* -> single_valued_set(u) member(second(ordered_pair(f19(u),f20(u))),w)*. % 299.97/300.35 13020[0:Res:957.2,560.0] || subset(u,domain_of(cross_product(v,w)))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.35 13021[0:Res:957.2,547.0] || subset(u,range_of(cross_product(v,w)))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),w)*. % 299.97/300.35 13038[6:SpL:134.1,11587.0] || member(u,compose(v,w)) equal(singleton_set(f29(u,v,w)),f1(u,universal_set))** -> . % 299.97/300.35 13209[0:MRR:13200.0,197.1] || equal(successor(u),singleton_set(v))* member(u,infinity)* disjoint(ordered_pair(v,w),infinity)* -> . % 299.97/300.35 13212[0:MRR:13193.0,203.1] || equal(f23(u,complement(ordered_pair(v,w))),singleton_set(v))** -> disjoint(u,complement(ordered_pair(v,w))). % 299.97/300.35 13213[0:MRR:13189.0,203.1] || equal(f23(complement(ordered_pair(u,v)),w),singleton_set(u))** -> disjoint(complement(ordered_pair(u,v)),w). % 299.97/300.35 13214[0:MRR:13188.0,213.1] || equal(f17(complement(ordered_pair(u,v)),w),singleton_set(u))** -> subset(complement(ordered_pair(u,v)),w). % 299.97/300.35 13239[0:Res:286.1,10964.0] || -> subset(intersection(complement(complement(u)),v),w) member(f17(intersection(complement(complement(u)),v),w),u)*. % 299.97/300.35 13241[0:Res:285.1,10964.0] || -> disjoint(intersection(complement(complement(u)),v),w) member(f23(intersection(complement(complement(u)),v),w),u)*. % 299.97/300.35 13253[0:Res:289.1,10964.0] || -> disjoint(u,intersection(complement(complement(v)),w)) member(f23(u,intersection(complement(complement(v)),w)),v)*. % 299.97/300.35 13255[0:Res:277.1,10964.0] || -> disjoint(intersection(u,complement(complement(v))),w) member(f23(intersection(u,complement(complement(v))),w),v)*. % 299.97/300.35 13258[0:Res:278.1,10964.0] || -> subset(intersection(u,complement(complement(v))),w) member(f17(intersection(u,complement(complement(v))),w),v)*. % 299.97/300.35 13262[0:Res:118.1,10964.0] || member(u,apply(complement(complement(v)),w)) -> member(f28(u,complement(complement(v)),w),v)*. % 299.97/300.35 13268[0:Res:93.1,10964.0] || member(u,image(v,complement(complement(w)))) -> member(f22(u,v,complement(complement(w))),w)*. % 299.97/300.35 13271[0:Res:281.1,10964.0] || -> disjoint(u,intersection(v,complement(complement(w)))) member(f23(u,intersection(v,complement(complement(w)))),w)*. % 299.97/300.35 13308[0:Res:538.1,34.1] || member(second(f23(cross_product(u,complement(v)),w)),v)* -> disjoint(cross_product(u,complement(v)),w). % 299.97/300.35 13351[0:Res:543.1,34.1] || member(second(f23(u,cross_product(v,complement(w)))),w)* -> disjoint(u,cross_product(v,complement(w))). % 299.97/300.35 13425[0:Res:551.1,34.1] || member(first(f23(cross_product(complement(u),v),w)),u)* -> disjoint(cross_product(complement(u),v),w). % 299.97/300.35 13503[0:Res:556.1,34.1] || member(first(f23(u,cross_product(complement(v),w))),v)* -> disjoint(u,cross_product(complement(v),w)). % 299.97/300.35 13644[0:Res:539.1,34.1] || member(second(f17(cross_product(u,complement(v)),w)),v)* -> subset(cross_product(u,complement(v)),w). % 299.97/300.35 13707[0:Res:552.1,34.1] || member(first(f17(cross_product(complement(u),v),w)),u)* -> subset(cross_product(complement(u),v),w). % 299.97/300.35 13874[0:MRR:13851.0,213.1] || equal(f17(u,v),singleton_set(w))* disjoint(ordered_pair(w,x),u)* -> subset(u,v). % 299.97/300.35 14056[0:MRR:14026.0,203.1] || equal(f23(u,v),singleton_set(w))* disjoint(ordered_pair(w,x),v)* -> disjoint(u,v). % 299.97/300.35 14165[0:MRR:14134.0,203.1] || equal(f23(u,v),singleton_set(w))* disjoint(ordered_pair(w,x),u)* -> disjoint(u,v). % 299.97/300.35 14379[0:SSi:14353.0,371.0] || equal(ordered_pair(second(u),first(u)),v)* member(u,converse(complement(non_ordered_pair(w,v))))* -> . % 299.97/300.35 14380[0:SSi:14352.0,371.0] || equal(ordered_pair(second(u),first(u)),v)* member(u,converse(complement(non_ordered_pair(v,w))))* -> . % 299.97/300.35 14573[0:SSi:14545.0,371.0] || equal(ordered_pair(f19(u),f21(u)),v)* disjoint(non_ordered_pair(w,v),u)* -> single_valued_set(u). % 299.97/300.35 14574[0:SSi:14544.0,371.0] || equal(ordered_pair(f19(u),f21(u)),v)* disjoint(non_ordered_pair(v,w),u)* -> single_valued_set(u). % 299.97/300.35 14638[0:SSi:14610.0,371.0] || equal(ordered_pair(f19(u),f20(u)),v)* disjoint(non_ordered_pair(w,v),u)* -> single_valued_set(u). % 299.97/300.35 14639[0:SSi:14609.0,371.0] || equal(ordered_pair(f19(u),f20(u)),v)* disjoint(non_ordered_pair(v,w),u)* -> single_valued_set(u). % 299.97/300.35 14761[0:Res:33.2,314.0] || member(u,complement(v)) member(u,complement(w)) member(u,union(w,v))* -> . % 299.97/300.35 15216[6:Res:965.2,10857.1] || member(u,domain_of(v)) subset(v,infinity) equal(successor(f8(u,v)),universal_set)** -> . % 299.97/300.35 15219[0:Res:965.2,34.1] || member(u,domain_of(v)) subset(v,complement(w)) member(f8(u,v),w)* -> . % 299.97/300.35 15220[0:Res:965.2,10964.0] || member(u,domain_of(v)) subset(v,complement(complement(w)))* -> member(f8(u,v),w)*. % 299.97/300.35 15224[0:Res:965.2,31.0] || member(u,domain_of(v)) subset(v,intersection(w,x))* -> member(f8(u,v),w)*. % 299.97/300.35 15225[0:Res:965.2,32.0] || member(u,domain_of(v)) subset(v,intersection(w,x))* -> member(f8(u,v),x)*. % 299.97/300.35 15228[0:Res:965.2,282.0] || member(u,domain_of(v)) subset(v,restrict(w,x))* -> member(f8(u,v),w)*. % 299.97/300.35 15267[6:Res:964.2,10857.1] || member(u,sigma(v)) subset(v,infinity) equal(successor(f16(u,v)),universal_set)** -> . % 299.97/300.35 15270[0:Res:964.2,34.1] || member(u,sigma(v)) subset(v,complement(w)) member(f16(u,v),w)* -> . % 299.97/300.35 15271[0:Res:964.2,10964.0] || member(u,sigma(v)) subset(v,complement(complement(w)))* -> member(f16(u,v),w)*. % 299.97/300.35 15275[0:Res:964.2,31.0] || member(u,sigma(v)) subset(v,intersection(w,x))* -> member(f16(u,v),w)*. % 299.97/300.35 15276[0:Res:964.2,32.0] || member(u,sigma(v)) subset(v,intersection(w,x))* -> member(f16(u,v),x)*. % 299.97/300.35 15279[0:Res:964.2,282.0] || member(u,sigma(v)) subset(v,restrict(w,x))* -> member(f16(u,v),w)*. % 299.97/300.35 15492[6:Res:963.2,10857.1] || member(u,range_of(v)) subset(v,infinity) equal(successor(f27(u,v)),universal_set)** -> . % 299.97/300.35 15495[0:Res:963.2,34.1] || member(u,range_of(v)) subset(v,complement(w)) member(f27(u,v),w)* -> . % 299.97/300.35 15496[0:Res:963.2,10964.0] || member(u,range_of(v)) subset(v,complement(complement(w)))* -> member(f27(u,v),w)*. % 299.97/300.35 15500[0:Res:963.2,31.0] || member(u,range_of(v)) subset(v,intersection(w,x))* -> member(f27(u,v),w)*. % 299.97/300.35 15501[0:Res:963.2,32.0] || member(u,range_of(v)) subset(v,intersection(w,x))* -> member(f27(u,v),x)*. % 299.97/300.35 15504[0:Res:963.2,282.0] || member(u,range_of(v)) subset(v,restrict(w,x))* -> member(f27(u,v),w)*. % 299.97/300.35 15939[3:SSi:15914.0,5742.0,63.1] || member(second(infinity),u) member(first(infinity),v) disjoint(universal_set,cross_product(v,u))* -> . % 299.97/300.35 16061[0:MRR:16022.0,4.1] || equal(u,non_ordered_pair(v,w))* member(u,x)* disjoint(x,ordered_pair(v,w))* -> . % 299.97/300.35 16163[6:Res:493.1,10857.1] || member(u,domain_of(intersection(infinity,v))) equal(successor(f8(u,intersection(infinity,v))),universal_set)** -> . % 299.97/300.35 16164[0:Res:493.1,76.0] || member(u,domain_of(intersection(powerset(v),w))) -> subset(f8(u,intersection(powerset(v),w)),v)*. % 299.97/300.35 16165[0:Res:493.1,1444.0] || member(u,domain_of(intersection(singleton_set(v),w)))* -> equal(f8(u,intersection(singleton_set(v),w)),v). % 299.97/300.35 16393[6:Res:494.1,10857.1] || member(u,domain_of(intersection(v,infinity))) equal(successor(f8(u,intersection(v,infinity))),universal_set)** -> . % 299.97/300.35 16394[0:Res:494.1,76.0] || member(u,domain_of(intersection(v,powerset(w)))) -> subset(f8(u,intersection(v,powerset(w))),w)*. % 299.97/300.35 16395[0:Res:494.1,1444.0] || member(u,domain_of(intersection(v,singleton_set(w))))* -> equal(f8(u,intersection(v,singleton_set(w))),w). % 299.97/300.35 16994[0:Res:13975.1,1241.2] || member(non_ordered_pair(u,v),w)* equal(x,v)* member(x,complement(sigma(w)))* -> . % 299.97/300.35 16995[0:Res:13975.1,1242.2] || member(non_ordered_pair(u,v),w)* equal(x,u)* member(x,complement(sigma(w)))* -> . % 299.97/300.35 17022[0:Res:286.1,15955.0] || -> subset(intersection(sigma(powerset(u)),v),w) member(f17(intersection(sigma(powerset(u)),v),w),u)*. % 299.97/300.35 17024[0:Res:285.1,15955.0] || -> disjoint(intersection(sigma(powerset(u)),v),w) member(f23(intersection(sigma(powerset(u)),v),w),u)*. % 299.97/300.35 17042[0:Res:289.1,15955.0] || -> disjoint(u,intersection(sigma(powerset(v)),w)) member(f23(u,intersection(sigma(powerset(v)),w)),v)*. % 299.97/300.35 17044[0:Res:277.1,15955.0] || -> disjoint(intersection(u,sigma(powerset(v))),w) member(f23(intersection(u,sigma(powerset(v))),w),v)*. % 299.97/300.35 17047[0:Res:278.1,15955.0] || -> subset(intersection(u,sigma(powerset(v))),w) member(f17(intersection(u,sigma(powerset(v))),w),v)*. % 299.97/300.35 17052[0:Res:118.1,15955.0] || member(u,apply(sigma(powerset(v)),w)) -> member(f28(u,sigma(powerset(v)),w),v)*. % 299.97/300.35 17062[0:Res:93.1,15955.0] || member(u,image(v,sigma(powerset(w)))) -> member(f22(u,v,sigma(powerset(w))),w)*. % 299.97/300.35 17065[0:Res:281.1,15955.0] || -> disjoint(u,intersection(v,sigma(powerset(w)))) member(f23(u,intersection(v,sigma(powerset(w)))),w)*. % 299.97/300.35 17066[0:Res:965.2,15955.0] || member(u,domain_of(v)) subset(v,sigma(powerset(w)))* -> member(f8(u,v),w)*. % 299.97/300.35 17068[0:Res:964.2,15955.0] || member(u,sigma(v)) subset(v,sigma(powerset(w)))* -> member(f16(u,v),w)*. % 299.97/300.35 17069[0:Res:963.2,15955.0] || member(u,range_of(v)) subset(v,sigma(powerset(w)))* -> member(f27(u,v),w)*. % 299.97/300.35 17117[6:Res:455.1,10857.1] || member(u,sigma(intersection(infinity,v))) equal(successor(f16(u,intersection(infinity,v))),universal_set)** -> . % 299.97/300.35 17118[0:Res:455.1,76.0] || member(u,sigma(intersection(powerset(v),w))) -> subset(f16(u,intersection(powerset(v),w)),v)*. % 299.97/300.35 17119[0:Res:455.1,1444.0] || member(u,sigma(intersection(singleton_set(v),w)))* -> equal(f16(u,intersection(singleton_set(v),w)),v). % 299.97/300.35 17178[0:Res:14040.1,1241.2] || disjoint(u,non_ordered_pair(v,w))* equal(x,w)* member(x,intersection(u,y))* -> . % 299.97/300.35 17179[0:Res:14040.1,1242.2] || disjoint(u,non_ordered_pair(v,w))* equal(x,v)* member(x,intersection(u,y))* -> . % 299.97/300.35 17218[6:Res:456.1,10857.1] || member(u,sigma(intersection(v,infinity))) equal(successor(f16(u,intersection(v,infinity))),universal_set)** -> . % 299.97/300.35 17219[0:Res:456.1,76.0] || member(u,sigma(intersection(v,powerset(w)))) -> subset(f16(u,intersection(v,powerset(w))),w)*. % 299.97/300.35 17220[0:Res:456.1,1444.0] || member(u,sigma(intersection(v,singleton_set(w))))* -> equal(f16(u,intersection(v,singleton_set(w))),w). % 299.97/300.35 17273[0:Res:14043.1,1241.2] || disjoint(u,non_ordered_pair(v,w))* equal(x,w)* member(x,intersection(y,u))* -> . % 299.97/300.35 17274[0:Res:14043.1,1242.2] || disjoint(u,non_ordered_pair(v,w))* equal(x,v)* member(x,intersection(y,u))* -> . % 299.97/300.35 17371[0:Res:17151.1,1241.2] || disjoint(u,non_ordered_pair(v,w))* equal(x,w)* member(x,restrict(u,y))* -> . % 299.97/300.35 17372[0:Res:17151.1,1242.2] || disjoint(u,non_ordered_pair(v,w))* equal(x,v)* member(x,restrict(u,y))* -> . % 299.97/300.35 17411[6:Res:426.1,10857.1] || member(u,range_of(intersection(infinity,v))) equal(successor(f27(u,intersection(infinity,v))),universal_set)** -> . % 299.97/300.35 17412[0:Res:426.1,76.0] || member(u,range_of(intersection(powerset(v),w))) -> subset(f27(u,intersection(powerset(v),w)),v)*. % 299.97/300.35 17413[0:Res:426.1,1444.0] || member(u,range_of(intersection(singleton_set(v),w)))* -> equal(f27(u,intersection(singleton_set(v),w)),v). % 299.97/300.35 17518[6:Res:427.1,10857.1] || member(u,range_of(intersection(v,infinity))) equal(successor(f27(u,intersection(v,infinity))),universal_set)** -> . % 299.97/300.35 17519[0:Res:427.1,76.0] || member(u,range_of(intersection(v,powerset(w)))) -> subset(f27(u,intersection(v,powerset(w))),w)*. % 299.97/300.35 17520[0:Res:427.1,1444.0] || member(u,range_of(intersection(v,singleton_set(w))))* -> equal(f27(u,intersection(v,singleton_set(w))),w). % 299.97/300.35 17600[2:MRR:17589.0,1545.1] || equal(first(f22(singleton_set(u),v,w)),u)** member(singleton_set(u),image(v,w)) -> . % 299.97/300.35 17601[2:MRR:17588.0,1545.1] || subset(first(f22(powerset(u),v,w)),u)* member(powerset(u),image(v,w)) -> . % 299.97/300.35 18167[0:Res:4115.1,76.0] ordered_pair_predicate(u) || -> member(u,converse(complement(powerset(v)))) subset(ordered_pair(second(u),first(u)),v)*. % 299.97/300.35 18168[0:Res:4115.1,1444.0] ordered_pair_predicate(u) || -> member(u,converse(complement(singleton_set(v))))* equal(ordered_pair(second(u),first(u)),v)*. % 299.97/300.35 18780[0:Res:13861.1,944.2] little_set(u) || disjoint(v,powerset(w))* subset(u,w)* -> member(u,complement(v))*. % 299.97/300.35 18824[0:Res:384.1,1238.0] little_set(u) || disjoint(intersection(complement(v),complement(w)),universal_set)* -> member(u,union(v,w))*. % 299.97/300.35 18834[2:Res:384.1,15679.1] little_set(set_b) || disjoint(universal_set,intersection(complement(u),complement(v)))* -> member(set_b,union(u,v)). % 299.97/300.35 18835[2:Res:384.1,15721.1] little_set(set_a) || disjoint(universal_set,intersection(complement(u),complement(v)))* -> member(set_a,union(u,v)). % 299.97/300.35 19001[0:MRR:18986.0,24.1] || equal(f7(u,v),w)* member(u,second(v))* -> member(u,sigma(singleton_set(w)))*. % 299.97/300.35 19002[0:MRR:18985.0,24.1] || subset(f7(u,v),w)* member(u,second(v)) -> member(u,sigma(powerset(w))). % 299.97/300.35 19130[0:MRR:19115.0,18.1] || equal(f4(u,v),w)* member(u,first(v))* -> member(u,sigma(singleton_set(w)))*. % 299.97/300.35 19131[0:MRR:19114.0,18.1] || subset(f4(u,v),w)* member(u,first(v)) -> member(u,sigma(powerset(w))). % 299.97/300.35 19265[0:MRR:19243.0,449.1] || equal(f16(u,v),w)* member(u,sigma(v))* -> member(u,sigma(singleton_set(w)))*. % 299.97/300.35 19266[0:MRR:19242.0,449.1] || subset(f16(u,v),w)* member(u,sigma(v)) -> member(u,sigma(powerset(w))). % 299.97/300.35 19412[0:Res:11437.1,1204.2] || subset(f4(u,v),w)* member(u,first(v)) member(u,complement(w)) -> . % 299.97/300.35 19468[0:Res:11437.1,1203.2] || subset(f7(u,v),w)* member(u,second(v)) member(u,complement(w)) -> . % 299.97/300.35 19520[0:Res:11437.1,1202.2] || subset(f16(u,v),w)* member(u,sigma(v)) member(u,complement(w)) -> . % 299.97/300.35 19761[0:MRR:19729.0,487.1] || equal(f8(u,v),w)* member(u,domain_of(v))* disjoint(singleton_set(w),v)* -> . % 299.97/300.35 19762[0:MRR:19728.0,487.1] || subset(f8(u,v),w)* member(u,domain_of(v)) disjoint(powerset(w),v) -> . % 299.97/300.35 20018[0:MRR:19988.0,420.1] || equal(f27(u,v),w)* member(u,range_of(v))* disjoint(singleton_set(w),v)* -> . % 299.97/300.35 20019[0:MRR:19987.0,420.1] || subset(f27(u,v),w)* member(u,range_of(v)) disjoint(powerset(w),v) -> . % 299.97/300.35 20279[0:MRR:20249.0,449.1] || equal(f16(u,v),w)* member(u,sigma(v))* disjoint(singleton_set(w),v)* -> . % 299.97/300.35 20280[0:MRR:20248.0,449.1] || subset(f16(u,v),w)* member(u,sigma(v)) disjoint(powerset(w),v) -> . % 299.97/300.35 20500[0:Res:33.2,20288.0] || member(set_b,u) member(set_b,v) disjoint(intersection(v,u),intersection(v,u))* -> . % 299.97/300.35 20507[0:Res:1103.2,20288.0] little_set(set_b) || equal(singleton_set(u),set_b) disjoint(ordered_pair(u,v),ordered_pair(u,v))* -> . % 299.97/300.35 20521[0:Res:33.2,20289.0] || member(set_a,u) member(set_a,v) disjoint(intersection(v,u),intersection(v,u))* -> . % 299.97/300.35 20528[0:Res:1103.2,20289.0] little_set(set_a) || equal(singleton_set(u),set_a) disjoint(ordered_pair(u,v),ordered_pair(u,v))* -> . % 299.97/300.35 20596[2:Res:33.2,20309.0] || member(infinity,u) member(infinity,v) disjoint(intersection(v,u),intersection(v,u))* -> . % 299.97/300.35 21094[0:Res:3651.2,1238.0] || member(u,cross_product(v,universal_set))* member(u,w)* disjoint(restrict(w,v),universal_set)* -> . % 299.97/300.35 21099[0:Res:3651.2,1197.0] || member(a,cross_product(u,universal_set))* member(a,v) disjoint(restrict(v,u),set_a)* -> . % 299.97/300.35 21103[0:Res:3651.2,7326.0] || member(universal_set,cross_product(u,universal_set))* member(universal_set,v) -> equal(sigma(restrict(v,u)),universal_set)**. % 299.97/300.35 21105[2:Res:3651.2,15679.1] || member(set_b,cross_product(u,universal_set))* member(set_b,v) disjoint(universal_set,restrict(v,u))* -> . % 299.97/300.35 21107[2:Res:3651.2,15721.1] || member(set_a,cross_product(u,universal_set))* member(set_a,v) disjoint(universal_set,restrict(v,u))* -> . % 299.97/300.35 21109[2:Res:3651.2,15819.1] || member(infinity,cross_product(u,universal_set))* member(infinity,v) disjoint(universal_set,restrict(v,u))* -> . % 299.97/300.35 21404[2:Res:13860.1,4116.1] ordered_pair_predicate(u) || disjoint(universal_set,ordered_pair(second(u),first(u)))* -> member(u,converse(powerset(v)))*. % 299.97/300.35 21405[0:Res:1513.1,4116.1] ordered_pair_predicate(u) || disjoint(ordered_pair(second(u),first(u)),universal_set)* -> member(u,converse(powerset(v)))*. % 299.97/300.35 21438[2:Res:540.1,10966.0] || -> single_valued_set(cross_product(u,v)) member(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),universal_set)*. % 299.97/300.35 21598[2:Res:541.1,10966.0] || -> single_valued_set(cross_product(u,v)) member(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),universal_set)*. % 299.97/300.35 21677[2:Res:553.1,10966.0] || -> single_valued_set(cross_product(u,v)) member(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),universal_set)*. % 299.97/300.35 21766[2:Res:554.1,10966.0] || -> single_valued_set(cross_product(u,v)) member(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),universal_set)*. % 299.97/300.35 22743[2:Res:13860.1,1104.2] little_set(u) || disjoint(universal_set,non_ordered_pair(v,w))* equal(u,v)* -> member(u,x)*. % 299.97/300.35 22766[2:Res:13860.1,1081.2] little_set(u) || disjoint(universal_set,non_ordered_pair(v,w))* equal(u,w)* -> member(u,x)*. % 299.97/300.35 23010[2:Res:1339.2,20934.0] || member(u,image(v,w)) subset(w,range_of(cross_product(f22(u,v,w),x)))* -> . % 299.97/300.35 23102[2:Res:1274.2,20934.0] || member(u,apply(v,w)) subset(v,range_of(cross_product(f28(u,v,w),x)))* -> . % 299.97/300.35 25422[2:Res:1544.2,17597.0] || member(u,image(v,w)) subset(v,image(first(f22(u,v,w)),x))* -> . % 299.97/300.35 25423[2:Res:1544.2,17668.0] || member(u,image(v,w)) subset(v,apply(x,first(f22(u,v,w))))* -> . % 299.97/300.35 25833[2:Res:4115.1,25810.0] ordered_pair_predicate(u) || -> member(u,converse(complement(image(v,cross_product(ordered_pair(second(u),first(u)),w)))))*. % 299.97/300.35 25970[2:Res:4115.1,25946.0] ordered_pair_predicate(u) || -> member(u,converse(complement(image(intersection(ordered_pair(second(u),first(u)),v),w))))*. % 299.97/300.35 26002[2:Res:4115.1,25950.0] ordered_pair_predicate(u) || -> member(u,converse(complement(image(restrict(ordered_pair(second(u),first(u)),v),w))))*. % 299.97/300.35 26118[3:Res:1280.1,6160.0] || member(u,apply(cross_product(v,w),x)) -> ordered_pair_predicate(second(f28(u,cross_product(v,w),x)))*. % 299.97/300.35 26123[0:Res:1280.1,4.0] || member(u,apply(cross_product(v,w),x)) -> little_set(second(f28(u,cross_product(v,w),x)))*. % 299.97/300.35 26200[2:Res:4115.1,26103.0] ordered_pair_predicate(u) || -> member(u,converse(complement(image(intersection(v,ordered_pair(second(u),first(u))),w))))*. % 299.97/300.35 26411[7:Res:26333.1,1021.0] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)*. % 299.97/300.35 26412[7:Res:26333.1,1020.0] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u)*. % 299.97/300.35 26447[7:Res:26333.1,1467.1] || subset(universal_set,second(f28(u,v,sigma(infinity))))* member(u,apply(v,sigma(infinity))) -> . % 299.97/300.35 27305[0:Res:10609.0,3652.3] || member(u,complement(singleton_set(v)))* member(u,complement(v)) member(u,successor(v)) -> . % 299.97/300.35 30936[0:EqF:1430.1,1430.2] || equal(u,v) -> disjoint(non_ordered_pair(v,u),w) equal(f23(non_ordered_pair(v,u),w),v)**. % 299.97/300.35 30996[6:Obv:30981.1] || equal(u,universal_set) -> equal(f23(non_ordered_pair(u,v),w),v)** disjoint(non_ordered_pair(u,v),w). % 299.97/300.35 30997[6:Obv:30976.1] || equal(u,universal_set) -> equal(f23(non_ordered_pair(v,u),w),v)** disjoint(non_ordered_pair(v,u),w). % 299.97/300.35 31069[0:EqF:1435.1,1435.2] || equal(u,v) -> disjoint(w,non_ordered_pair(v,u)) equal(f23(w,non_ordered_pair(v,u)),v)**. % 299.97/300.35 31133[6:Obv:31118.1] || equal(u,universal_set) -> equal(f23(v,non_ordered_pair(u,w)),w)** disjoint(v,non_ordered_pair(u,w)). % 299.97/300.35 31134[6:Obv:31113.1] || equal(u,universal_set) -> equal(f23(v,non_ordered_pair(w,u)),w)** disjoint(v,non_ordered_pair(w,u)). % 299.97/300.35 31219[0:EqF:1431.1,1431.2] || equal(u,v) -> subset(non_ordered_pair(v,u),w) equal(f17(non_ordered_pair(v,u),w),v)**. % 299.97/300.35 31263[6:Obv:31250.1] || equal(u,universal_set) -> equal(f17(non_ordered_pair(u,v),w),v)** subset(non_ordered_pair(u,v),w). % 299.97/300.35 31264[0:Obv:31249.1] || member(u,v) -> equal(f17(non_ordered_pair(u,w),v),w)** subset(non_ordered_pair(u,w),v). % 299.97/300.35 31265[6:Obv:31244.1] || equal(u,universal_set) -> equal(f17(non_ordered_pair(v,u),w),v)** subset(non_ordered_pair(v,u),w). % 299.97/300.35 31266[0:Obv:31243.1] || member(u,v) -> equal(f17(non_ordered_pair(w,u),v),w)** subset(non_ordered_pair(w,u),v). % 299.97/300.35 31340[0:Res:3824.1,1238.0] || disjoint(u,universal_set) -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),v)*. % 299.97/300.35 31550[0:Res:3825.1,1238.0] || disjoint(u,universal_set) -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),w)*. % 299.97/300.35 31733[0:Res:3842.1,1238.0] || disjoint(u,universal_set) -> equal(intersection(v,w),u) member(f1(intersection(v,w),u),v)*. % 299.97/300.35 31914[0:Res:3843.1,1238.0] || disjoint(u,universal_set) -> equal(intersection(v,w),u) member(f1(intersection(v,w),u),w)*. % 299.97/300.35 33417[7:Res:33376.1,314.0] || member(universal_set,powerset(intersection(complement(u),complement(v))))* member(sigma(infinity),union(u,v)) -> . % 299.97/300.35 33966[3:Res:6202.3,17668.0] || member(u,v)* equal(f23(w,second(u)),first(u))** -> disjoint(w,second(u)). % 299.97/300.35 33976[3:Obv:33967.2] || member(u,v) equal(first(u),w) -> disjoint(complement(apply(v,w)),second(u))*. % 299.97/300.35 34112[3:Res:6205.3,17668.0] || member(u,v)* equal(f23(second(u),w),first(u))** -> disjoint(second(u),w). % 299.97/300.35 34122[3:Obv:34113.2] || member(u,v) equal(first(u),w) -> disjoint(second(u),complement(apply(v,w)))*. % 299.97/300.35 34187[3:Res:6206.3,17668.0] || member(u,v)* equal(f17(second(u),w),first(u))** -> subset(second(u),w). % 299.97/300.35 34943[6:SpL:134.1,34934.0] || member(u,compose(v,w)) equal(singleton_set(f29(u,v,w)),f1(universal_set,u))** -> . % 299.97/300.35 36354[0:Obv:36347.1] little_set(u) || member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(w))*. % 299.97/300.35 36355[0:MRR:36328.0,487.1] little_set(u) || member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(universal_set))*. % 299.97/300.35 36515[0:Obv:36508.1] little_set(u) || member(v,range_of(w))* equal(u,v)* -> member(u,range_of(w))*. % 299.97/300.35 36516[0:MRR:36489.0,420.1] little_set(u) || member(v,range_of(w))* equal(u,v)* -> member(u,range_of(universal_set))*. % 299.97/300.35 39692[3:Rew:36.0,39674.1] || disjoint(intersection(complement(u),complement(v)),complement(union(u,v)))* -> member(infinity,union(u,v)). % 299.97/300.35 40652[2:Res:25246.0,560.0] || -> equal(complement(domain_of(cross_product(u,v))),universal_set) member(f1(universal_set,complement(domain_of(cross_product(u,v)))),u)*. % 299.97/300.35 40655[2:Res:25246.0,547.0] || -> equal(complement(range_of(cross_product(u,v))),universal_set) member(f1(universal_set,complement(range_of(cross_product(u,v)))),v)*. % 299.97/300.35 40665[2:Res:25246.0,274.0] || -> equal(complement(restrict(u,v)),universal_set) member(f1(universal_set,complement(restrict(u,v))),cross_product(v,universal_set))*. % 299.97/300.35 40697[2:Rew:36.0,40614.1] || -> member(f1(universal_set,union(u,v)),intersection(complement(u),complement(v)))* equal(union(u,v),universal_set). % 299.97/300.35 41296[3:SpL:36.0,39781.1] || disjoint(universal_set,intersection(complement(u),complement(v))) disjoint(union(u,v),union(u,v))* -> . % 299.97/300.35 43604[14:Res:42571.1,8.0] || subset(universal_set,non_ordered_pair(u,v))* -> equal(ordered_pair(universal_set,w),v)* equal(ordered_pair(universal_set,w),u)*. % 299.97/300.35 43626[14:Res:42571.1,644.1] || subset(universal_set,second(f8(ordered_pair(universal_set,u),v)))* member(ordered_pair(universal_set,u),domain_of(v)) -> . % 299.97/300.35 43630[14:Res:42571.1,314.0] || subset(universal_set,intersection(complement(u),complement(v)))* member(ordered_pair(universal_set,w),union(u,v))* -> . % 299.97/300.35 59404[16:Rew:54986.0,55238.0] || member(a,cross_product(u,universal_set))* member(a,v) disjoint(restrict(v,u),infinity)* -> . % 299.97/300.35 59405[16:Rew:54986.0,55239.0] || member(a,cross_product(u,universal_set))* member(a,v) disjoint(universal_set,restrict(v,u))* -> . % 299.97/300.35 59406[16:Rew:54986.0,55343.0] || member(a,cross_product(u,universal_set))* member(a,v) disjoint(restrict(v,u),set_b)* -> . % 299.97/300.35 55351[16:Rew:54986.0,49228.2] || member(universal_set,range_of(u)) member(f27(universal_set,u),converse(v))* -> member(a,sigma(v)). % 299.97/300.35 55465[16:Rew:54986.0,48688.1] || -> equal(f24(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) disjoint(non_ordered_pair(u,v),u)*. % 299.97/300.35 55466[16:Rew:54986.0,48687.1] || -> equal(f24(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) disjoint(u,non_ordered_pair(u,v))*. % 299.97/300.35 55467[16:Rew:54986.0,48686.1] || -> equal(f24(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) member(u,non_ordered_pair(u,v))*. % 299.97/300.35 55468[16:Rew:54986.0,48685.1] || -> equal(f24(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) disjoint(non_ordered_pair(u,v),v)*. % 299.97/300.35 55469[16:Rew:54986.0,48684.1] || -> equal(f24(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) disjoint(v,non_ordered_pair(u,v))*. % 299.97/300.35 55470[16:Rew:54986.0,48683.1] || -> equal(f24(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) member(v,non_ordered_pair(u,v))*. % 299.97/300.35 55471[16:Rew:54986.0,48671.1] || -> equal(f26(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) member(u,non_ordered_pair(u,v))*. % 299.97/300.35 55472[16:Rew:54986.0,48669.1] || -> equal(f26(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) member(v,non_ordered_pair(u,v))*. % 299.97/300.35 59407[16:Rew:54986.0,55500.1] || -> equal(singleton_set(u),a) equal(ordered_pair(singleton_set(u),u),a) ordered_pair_predicate(f26(ordered_pair(singleton_set(u),u)))*. % 299.97/300.35 59408[16:Rew:54986.0,55646.1] || member(second(a),u) member(first(a),v) disjoint(cross_product(v,u),infinity)* -> . % 299.97/300.35 59409[16:Rew:54986.0,55647.1] || member(second(a),u) member(first(a),v) disjoint(universal_set,cross_product(v,u))* -> . % 299.97/300.35 59410[16:Rew:54986.0,55648.2,54986.0,55648.1] || member(second(a),u) member(first(a),v) -> subset(powerset(a),cross_product(v,u))*. % 299.97/300.35 59411[16:Rew:54986.0,55650.1] || member(second(a),u) member(first(a),v) disjoint(cross_product(v,u),set_b)* -> . % 299.97/300.35 59412[16:Rew:54986.0,55803.1,54986.0,55803.0] || member(successor(a),u) member(successor(a),v) -> member(a,sigma(intersection(v,u)))*. % 299.97/300.35 55804[16:Rew:54986.0,50605.2] || member(sigma(infinity),u) member(sigma(infinity),v) -> member(a,sigma(intersection(v,u)))*. % 299.97/300.35 59413[16:Rew:54986.0,55805.1,54986.0,55805.0] || member(singleton_set(a),u) member(singleton_set(a),v) -> member(a,sigma(intersection(v,u)))*. % 299.97/300.35 59414[16:Rew:54986.0,55808.1] little_set(successor(estin)) || equal(successor(a),singleton_set(u)) -> member(a,sigma(ordered_pair(u,v)))*. % 299.97/300.35 56083[16:Rew:54986.0,49026.3] || subset(u,v)* member(f24(u),w)* disjoint(w,v)* -> equal(u,a). % 299.97/300.35 56084[16:Rew:54986.0,49025.2] || subset(u,v)* member(v,w)* -> equal(u,a) member(f24(u),sigma(w))*. % 299.97/300.35 56085[16:Rew:54986.0,49024.1] || subset(u,converse(v))* -> equal(u,a) ordered_pair_predicate(ordered_pair(second(f24(u)),first(f24(u))))*. % 299.97/300.35 56086[16:Rew:54986.0,49016.2] || member(u,v)* subset(sigma(v),w)* -> equal(u,a) member(f24(u),w)*. % 299.97/300.35 56087[16:Rew:54986.0,49010.2] || member(f24(u),second(v)) disjoint(f7(f24(u),v),u)* -> equal(u,a). % 299.97/300.35 56088[16:Rew:54986.0,49009.2] || member(f24(u),first(v)) disjoint(f4(f24(u),v),u)* -> equal(u,a). % 299.97/300.35 56089[16:Rew:54986.0,49008.2] || member(f24(u),sigma(v)) disjoint(f16(f24(u),v),u)* -> equal(u,a). % 299.97/300.35 56090[16:Rew:54986.0,48999.2] || member(u,v)* subset(sigma(v),w)* -> equal(u,a) member(f26(u),w)*. % 299.97/300.35 56091[16:Rew:54986.0,48993.2] || subset(u,compose(v,w))* equal(x,f24(u))* -> equal(u,a) ordered_pair_predicate(x)*. % 299.97/300.35 56092[16:Rew:54986.0,48978.3] little_set(u) || subset(u,infinity) equal(successor(f26(u)),universal_set)** -> equal(u,a). % 299.97/300.35 56093[16:Rew:54986.0,48977.3] little_set(u) || subset(u,complement(v))* member(f26(u),v) -> equal(u,a). % 299.97/300.35 56094[16:Rew:54986.0,48976.2] little_set(u) || subset(u,complement(complement(v)))* -> equal(u,a) member(f26(u),v). % 299.97/300.35 56095[16:Rew:54986.0,48975.2] little_set(u) || subset(u,intersection(v,w))* -> equal(u,a) member(f26(u),v). % 299.97/300.35 56096[16:Rew:54986.0,48974.2] little_set(u) || subset(u,intersection(v,w))* -> equal(u,a) member(f26(u),w). % 299.97/300.35 56097[16:Rew:54986.0,48973.2] little_set(u) || subset(u,restrict(v,w))* -> equal(u,a) member(f26(u),v). % 299.97/300.35 56098[16:Rew:54986.0,48949.2] || equal(f24(u),non_ordered_pair(v,w)) disjoint(ordered_pair(v,w),u)* -> equal(u,a). % 299.97/300.35 56099[16:Rew:54986.0,48945.2] little_set(u) || subset(u,sigma(powerset(v)))* -> equal(u,a) member(f26(u),v). % 299.97/300.35 56100[16:Rew:54986.0,48932.3] little_set(u) || equal(f26(u),v) disjoint(singleton_set(v),u)* -> equal(u,a). % 299.97/300.35 56101[16:Rew:54986.0,48931.3] little_set(u) || subset(f26(u),v)* disjoint(powerset(v),u) -> equal(u,a). % 299.97/300.35 56105[16:Rew:54986.0,48899.2] little_set(u) || subset(f25,range_of(cross_product(ordered_pair(u,f26(u)),v)))* -> equal(u,a). % 299.97/300.35 56106[16:Rew:54986.0,48782.2] little_set(u) || member(singleton_set(singleton_set(u)),f25)* -> equal(u,a) equal(f26(u),u). % 299.97/300.35 59416[16:Rew:54986.0,56454.0] || subset(universal_set,second(f28(u,v,singleton_set(a))))* member(u,apply(v,singleton_set(a))) -> . % 299.97/300.35 56459[16:Rew:54986.0,49356.2] || equal(u,universal_set) member(u,converse(complement(v)))* member(singleton_set(singleton_set(a)),v)* -> . % 299.97/300.35 56482[16:Rew:54986.0,49476.1] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)*. % 299.97/300.35 56486[16:Rew:54986.0,49480.1] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u)*. % 299.97/300.35 56526[16:Rew:54986.0,49452.1] || member(universal_set,powerset(intersection(complement(u),complement(v))))* member(singleton_set(a),union(u,v)) -> . % 299.97/300.35 59417[16:Rew:54986.0,56573.2] || member(f26(complement(u)),u)* equal(complement(u),singleton_set(a)) -> equal(complement(u),a). % 299.97/300.35 59418[16:Rew:54986.0,56574.1] || member(singleton_set(a),apply(u,v)) -> member(a,sigma(second(f28(singleton_set(a),u,v))))*. % 299.97/300.35 59419[16:Rew:54986.0,56660.2,54986.0,56660.1] || -> equal(powerset(a),u) member(f1(powerset(a),u),u)* equal(f1(powerset(a),u),a). % 299.97/300.35 56802[16:Rew:54986.0,50388.1] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),u)*. % 299.97/300.35 56810[16:Rew:54986.0,50396.1] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),v)*. % 299.97/300.35 59420[16:Rew:54986.0,56863.0] || subset(union(u,a),intersection(complement(u),universal_set))* -> member(powerset(a),intersection(complement(u),universal_set)). % 299.97/300.35 59421[16:Rew:54986.0,56872.0] || subset(union(a,u),intersection(universal_set,complement(u)))* -> member(powerset(a),intersection(universal_set,complement(u))). % 299.97/300.35 56887[16:Rew:54986.0,50467.1] || member(universal_set,powerset(intersection(complement(u),complement(v))))* member(powerset(a),union(u,v)) -> . % 299.97/300.35 56891[16:Rew:54986.0,50424.1] || disjoint(union(u,v),union(u,v))* -> member(powerset(a),intersection(complement(u),complement(v)))*. % 299.97/300.35 59422[16:Rew:54986.0,56910.2] || member(f26(complement(u)),u)* equal(powerset(a),complement(u)) -> equal(complement(u),a). % 299.97/300.35 59423[16:Rew:54986.0,56911.1] || subset(universal_set,second(f28(u,v,powerset(a))))* member(u,apply(v,powerset(a))) -> . % 299.97/300.35 59424[16:Rew:54986.0,56915.2,54986.0,56915.1] || -> equal(u,powerset(a)) member(f1(u,powerset(a)),u)* equal(f1(u,powerset(a)),a). % 299.97/300.35 57006[16:Rew:54986.0,51386.1] || member(u,v) equal(f1(universal_set,a),first(u)) -> member(first(u),domain_of(v))*. % 299.97/300.35 57008[16:Rew:54986.0,51388.1] || member(u,v) equal(f1(universal_set,a),second(u)) -> member(second(u),range_of(v))*. % 299.97/300.35 59429[16:Rew:54986.0,57149.1] || member(successor(a),apply(u,v)) -> member(a,sigma(second(f28(successor(a),u,v))))*. % 299.97/300.35 57294[16:Rew:54986.0,50873.2] little_set(u) || member(universal_set,powerset(v))* subset(u,a) -> member(u,sigma(v))*. % 299.97/300.35 57295[16:Rew:54986.0,50872.2] little_set(u) || disjoint(complement(v),universal_set) subset(u,a) -> member(u,sigma(v))*. % 299.97/300.35 57296[16:Rew:54986.0,50871.2] little_set(u) || disjoint(universal_set,complement(v)) subset(u,a) -> member(u,sigma(v))*. % 299.97/300.35 59430[16:Rew:54986.0,57297.1] little_set(u) || equal(a,v) subset(u,a) -> member(u,non_ordered_pair(w,v))*. % 299.97/300.35 59431[16:Rew:54986.0,57298.1] little_set(u) || equal(a,v) subset(u,a) -> member(u,non_ordered_pair(v,w))*. % 299.97/300.35 57352[16:Rew:54986.0,50152.2] little_set(rotate_right(u)) || equal(v,f26(rotate_right(u)))* -> equal(rotate_right(u),a) ordered_pair_predicate(v)*. % 299.97/300.35 57356[16:Rew:54986.0,50146.2] little_set(flip_range_of(u)) || equal(v,f26(flip_range_of(u)))* -> equal(flip_range_of(u),a) ordered_pair_predicate(v)*. % 299.97/300.35 59432[16:Rew:54986.0,57390.1] || -> equal(converse(u),a) ordered_pair_predicate(ordered_pair(second(f1(converse(u),a)),first(f1(converse(u),a))))*. % 299.97/300.35 59433[16:Rew:54986.0,57391.1] || -> equal(converse(u),a) ordered_pair_predicate(ordered_pair(second(f1(a,converse(u))),first(f1(a,converse(u)))))*. % 299.97/300.35 57420[16:Rew:54986.0,49998.0] || disjoint(union(u,a),universal_set) disjoint(intersection(complement(u),universal_set),intersection(complement(u),universal_set))* -> . % 299.97/300.35 57438[16:Rew:54986.0,50032.0] || disjoint(universal_set,union(u,a)) disjoint(intersection(complement(u),universal_set),intersection(complement(u),universal_set))* -> . % 299.97/300.35 57483[16:Rew:54986.0,49959.1] || -> ordered_pair_predicate(intersection(complement(u),universal_set)) disjoint(intersection(union(u,a),universal_set),successor(intersection(complement(u),universal_set)))*. % 299.97/300.35 57484[16:Rew:54986.0,49958.1] || -> little_set(intersection(complement(u),universal_set)) disjoint(intersection(union(u,a),universal_set),successor(intersection(complement(u),universal_set)))*. % 299.97/300.35 57485[16:Rew:54986.0,49961.1] || -> ordered_pair_predicate(intersection(complement(u),universal_set)) disjoint(successor(intersection(complement(u),universal_set)),intersection(union(u,a),universal_set))*. % 299.97/300.35 57486[16:Rew:54986.0,49960.1] || -> little_set(intersection(complement(u),universal_set)) disjoint(successor(intersection(complement(u),universal_set)),intersection(union(u,a),universal_set))*. % 299.97/300.35 59434[16:Rew:54986.0,57494.1] || member(f17(union(u,a),v),intersection(complement(u),universal_set))* -> subset(union(u,a),v). % 299.97/300.35 59435[16:Rew:54986.0,57495.1] || member(f23(union(u,a),v),intersection(complement(u),universal_set))* -> disjoint(union(u,a),v). % 299.97/300.35 57496[16:Rew:54986.0,49977.0] || -> disjoint(intersection(union(u,a),complement(singleton_set(intersection(complement(u),universal_set)))),successor(intersection(complement(u),universal_set)))*. % 299.97/300.35 57497[16:Rew:54986.0,49978.0] || -> disjoint(successor(intersection(complement(u),universal_set)),intersection(union(u,a),complement(singleton_set(intersection(complement(u),universal_set)))))*. % 299.97/300.35 57510[16:Rew:54986.0,49061.2] || member(f26(complement(u)),u)* equal(sigma(infinity),complement(u)) -> equal(complement(u),a). % 299.97/300.35 57538[16:Rew:54986.0,49861.0] || disjoint(union(a,u),universal_set) disjoint(intersection(universal_set,complement(u)),intersection(universal_set,complement(u)))* -> . % 299.97/300.35 57556[16:Rew:54986.0,49895.0] || disjoint(universal_set,union(a,u)) disjoint(intersection(universal_set,complement(u)),intersection(universal_set,complement(u)))* -> . % 299.97/300.35 57601[16:Rew:54986.0,49832.1] || -> ordered_pair_predicate(intersection(universal_set,complement(u))) disjoint(intersection(union(a,u),universal_set),successor(intersection(universal_set,complement(u))))*. % 299.97/300.35 57602[16:Rew:54986.0,49831.1] || -> little_set(intersection(universal_set,complement(u))) disjoint(intersection(union(a,u),universal_set),successor(intersection(universal_set,complement(u))))*. % 299.97/300.35 57603[16:Rew:54986.0,49834.1] || -> ordered_pair_predicate(intersection(universal_set,complement(u))) disjoint(successor(intersection(universal_set,complement(u))),intersection(union(a,u),universal_set))*. % 299.97/300.35 57604[16:Rew:54986.0,49833.1] || -> little_set(intersection(universal_set,complement(u))) disjoint(successor(intersection(universal_set,complement(u))),intersection(union(a,u),universal_set))*. % 299.97/300.35 59436[16:Rew:54986.0,57612.1] || member(f17(union(a,u),v),intersection(universal_set,complement(u)))* -> subset(union(a,u),v). % 299.97/300.35 59437[16:Rew:54986.0,57613.1] || member(f23(union(a,u),v),intersection(universal_set,complement(u)))* -> disjoint(union(a,u),v). % 299.97/300.35 57614[16:Rew:54986.0,49840.0] || -> disjoint(intersection(union(a,u),complement(singleton_set(intersection(universal_set,complement(u))))),successor(intersection(universal_set,complement(u))))*. % 299.97/300.35 57615[16:Rew:54986.0,49841.0] || -> disjoint(successor(intersection(universal_set,complement(u))),intersection(union(a,u),complement(singleton_set(intersection(universal_set,complement(u))))))*. % 299.97/300.35 57668[16:Rew:54986.0,49098.2] || member(f24(intersection(u,v)),w)* disjoint(w,u) -> equal(intersection(u,v),a). % 299.97/300.35 57669[16:Rew:54986.0,49097.2] || member(f24(intersection(u,v)),w)* disjoint(w,v) -> equal(intersection(u,v),a). % 299.97/300.35 57670[16:Rew:54986.0,49095.1] ordered_pair_predicate(intersection(u,v)) || -> equal(intersection(u,v),a) member(f26(intersection(u,v)),u)*. % 299.97/300.35 57671[16:Rew:54986.0,49089.1] ordered_pair_predicate(intersection(u,v)) || -> equal(intersection(u,v),a) member(f26(intersection(u,v)),v)*. % 299.97/300.35 57713[16:Rew:54986.0,49110.1] little_set(restrict(u,v)) || -> equal(restrict(u,v),a) member(f26(restrict(u,v)),u)*. % 299.97/300.35 59438[16:Rew:54986.0,57745.0] || member(f23(u,union(v,a)),intersection(complement(v),universal_set))* -> disjoint(u,union(v,a)). % 299.97/300.35 59439[16:Rew:54986.0,57773.0] || member(f23(u,union(a,v)),intersection(universal_set,complement(v)))* -> disjoint(u,union(a,v)). % 299.97/300.35 57815[16:Rew:54986.0,51534.1] || member(universal_set,range_of(u)) -> member(a,sigma(complement(v))) member(f27(universal_set,u),converse(v))*. % 299.97/300.35 57847[16:Rew:54986.0,49057.1] || member(u,v) -> equal(complement(complement(u)),a) member(f24(complement(complement(u))),sigma(v))*. % 299.97/300.35 57848[16:Rew:54986.0,49056.2] || member(f24(complement(complement(u))),v)* disjoint(v,u) -> equal(complement(complement(u)),a). % 299.97/300.35 57849[16:Rew:54986.0,49053.1] little_set(complement(complement(u))) || -> equal(complement(complement(u)),a) member(f26(complement(complement(u))),u)*. % 299.97/300.35 57925[16:Rew:54986.0,50981.1] little_set(sigma(powerset(u))) || -> equal(sigma(powerset(u)),a) member(f26(sigma(powerset(u))),u)*. % 299.97/300.35 58080[16:Rew:54986.0,50617.0] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(complement(ordered_pair(universal_set,v))))* -> . % 299.97/300.35 58088[16:Rew:54986.0,50859.2] little_set(powerset(u)) || equal(powerset(u),singleton_set(v))* -> member(a,sigma(ordered_pair(v,w)))*. % 299.97/300.35 58146[16:Rew:54986.0,50788.2] || equal(u,universal_set) member(u,v)* equal(w,a) -> member(w,range_of(v))*. % 299.97/300.35 58147[16:Rew:54986.0,50787.2] || equal(u,universal_set) member(u,v)* equal(w,a) -> member(w,domain_of(v))*. % 299.97/300.35 58154[16:Rew:54986.0,50885.1] || equal(u,universal_set) -> equal(non_ordered_pair(singleton_set(a),ordered_pair(u,v)),ordered_pair(a,non_ordered_pair(u,v)))**. % 299.97/300.35 58192[16:Rew:54986.0,49314.1] || member(f24(union(u,v)),intersection(complement(u),complement(v)))* -> equal(union(u,v),a). % 299.97/300.35 58194[16:Rew:54986.0,50106.1] || member(u,v) -> equal(intersection(u,w),a) member(f24(intersection(u,w)),sigma(v))*. % 299.97/300.35 58200[16:Rew:54986.0,50122.1] || member(u,v) -> equal(intersection(w,u),a) member(f24(intersection(w,u)),sigma(v))*. % 299.97/300.35 59442[16:Rew:54986.0,58207.1] || -> equal(image(u,cross_product(v,w)),a) member(f1(image(u,cross_product(v,w)),a),w)*. % 299.97/300.35 59443[16:Rew:54986.0,58208.1] || -> equal(image(u,cross_product(v,w)),a) member(f1(a,image(u,cross_product(v,w))),w)*. % 299.97/300.35 58220[16:Rew:54986.0,50813.1] || equal(f24(complement(ordered_pair(u,v))),non_ordered_pair(u,v))** -> equal(complement(ordered_pair(u,v)),a). % 299.97/300.35 58255[16:Rew:54986.0,49306.0] || -> equal(complement(complement(cross_product(u,v))),a) member(first(f24(complement(complement(cross_product(u,v))))),u)*. % 299.97/300.35 58256[16:Rew:54986.0,49305.0] || -> equal(complement(complement(cross_product(u,v))),a) member(second(f24(complement(complement(cross_product(u,v))))),v)*. % 299.97/300.35 58257[16:Rew:54986.0,50113.0] || -> equal(intersection(cross_product(u,v),w),a) member(first(f24(intersection(cross_product(u,v),w))),u)*. % 299.97/300.35 58258[16:Rew:54986.0,50112.0] || -> equal(intersection(cross_product(u,v),w),a) member(second(f24(intersection(cross_product(u,v),w))),v)*. % 299.97/300.35 58259[16:Rew:54986.0,50129.0] || -> equal(intersection(u,cross_product(v,w)),a) member(first(f24(intersection(u,cross_product(v,w)))),v)*. % 299.97/300.35 58260[16:Rew:54986.0,50128.0] || -> equal(intersection(u,cross_product(v,w)),a) member(second(f24(intersection(u,cross_product(v,w)))),w)*. % 299.97/300.35 58261[16:Rew:54986.0,50145.1] || equal(u,f24(intersection(flip_range_of(v),w)))* -> equal(intersection(flip_range_of(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 58262[16:Rew:54986.0,50147.1] || equal(u,f24(intersection(v,flip_range_of(w))))* -> equal(intersection(v,flip_range_of(w)),a) ordered_pair_predicate(u)*. % 299.97/300.35 58263[16:Rew:54986.0,50151.1] || equal(u,f24(intersection(rotate_right(v),w)))* -> equal(intersection(rotate_right(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 58264[16:Rew:54986.0,50153.1] || equal(u,f24(intersection(v,rotate_right(w))))* -> equal(intersection(v,rotate_right(w)),a) ordered_pair_predicate(u)*. % 299.97/300.35 58268[16:Rew:54986.0,50168.1] || subset(u,v) -> equal(cross_product(w,u),a) member(second(f24(cross_product(w,u))),v)*. % 299.97/300.35 58269[16:Rew:54986.0,50170.0] || -> equal(cross_product(u,intersection(v,w)),a) member(second(f24(cross_product(u,intersection(v,w)))),v)*. % 299.97/300.35 58270[16:Rew:54986.0,50169.0] || -> equal(cross_product(u,intersection(v,w)),a) member(second(f24(cross_product(u,intersection(v,w)))),w)*. % 299.97/300.35 58272[16:Rew:54986.0,50172.0] || -> equal(cross_product(u,restrict(v,w)),a) member(second(f24(cross_product(u,restrict(v,w)))),v)*. % 299.97/300.35 58274[16:Rew:54986.0,50189.1] || subset(u,v) -> equal(cross_product(u,w),a) member(first(f24(cross_product(u,w))),v)*. % 299.97/300.35 58275[16:Rew:54986.0,50191.0] || -> equal(cross_product(intersection(u,v),w),a) member(first(f24(cross_product(intersection(u,v),w))),u)*. % 299.97/300.35 58276[16:Rew:54986.0,50190.0] || -> equal(cross_product(intersection(u,v),w),a) member(first(f24(cross_product(intersection(u,v),w))),v)*. % 299.97/300.35 58278[16:Rew:54986.0,50193.0] || -> equal(cross_product(restrict(u,v),w),a) member(first(f24(cross_product(restrict(u,v),w))),u)*. % 299.97/300.35 58279[16:Rew:54986.0,50231.1] || member(u,v)* disjoint(v,union(w,a))* -> member(u,intersection(complement(w),universal_set))*. % 299.97/300.35 58285[16:Rew:54986.0,50237.1] || member(u,v)* disjoint(v,union(a,w))* -> member(u,intersection(universal_set,complement(w)))*. % 299.97/300.35 58291[16:Rew:54986.0,50798.0] || equal(first(f27(ordered_pair(universal_set,u),v)),a)** member(ordered_pair(universal_set,u),range_of(v)) -> . % 299.97/300.35 58292[16:Rew:54986.0,50817.0] || -> equal(cross_product(u,complement(complement(v))),a) member(second(f24(cross_product(u,complement(complement(v))))),v)*. % 299.97/300.35 58293[16:Rew:54986.0,50818.0] || -> equal(cross_product(complement(complement(u)),v),a) member(first(f24(cross_product(complement(complement(u)),v))),u)*. % 299.97/300.35 58294[16:Rew:54986.0,50853.1] || member(powerset(u),apply(v,w)) -> member(a,sigma(second(f28(powerset(u),v,w))))*. % 299.97/300.35 58296[16:Rew:54986.0,50855.2] || member(powerset(u),v)* member(powerset(u),w)* -> member(a,sigma(intersection(w,v)))*. % 299.97/300.35 58297[16:Rew:54986.0,50864.1] || disjoint(singleton_set(f17(u,v)),u)* -> equal(singleton_set(f17(u,v)),a) subset(u,v). % 299.97/300.35 58298[16:Rew:54986.0,50869.1] || disjoint(singleton_set(f23(u,v)),v)* -> equal(singleton_set(f23(u,v)),a) disjoint(u,v). % 299.97/300.35 58299[16:Rew:54986.0,50868.1] || disjoint(singleton_set(f23(u,v)),u)* -> equal(singleton_set(f23(u,v)),a) disjoint(u,v). % 299.97/300.35 58300[16:Rew:54986.0,50898.0] || equal(ordered_pair(f19(u),f21(u)),a)** disjoint(ordered_pair(universal_set,v),u)* -> single_valued_set(u). % 299.97/300.35 58301[16:Rew:54986.0,50897.1] || -> single_valued_set(u) equal(ordered_pair(f19(u),f21(u)),a) ordered_pair_predicate(f26(ordered_pair(f19(u),f21(u))))*. % 299.97/300.35 58302[16:Rew:54986.0,50901.0] || equal(ordered_pair(f19(u),f20(u)),a)** disjoint(ordered_pair(universal_set,v),u)* -> single_valued_set(u). % 299.97/300.35 58303[16:Rew:54986.0,50900.1] || -> single_valued_set(u) equal(ordered_pair(f19(u),f20(u)),a) ordered_pair_predicate(f26(ordered_pair(f19(u),f20(u))))*. % 299.97/300.35 58304[16:Rew:54986.0,50960.2] || equal(u,v) member(u,f24(non_ordered_pair(w,v)))* -> equal(non_ordered_pair(w,v),a). % 299.97/300.35 58311[16:Rew:54986.0,50971.2] || equal(u,v) member(u,f24(non_ordered_pair(v,w)))* -> equal(non_ordered_pair(v,w),a). % 299.97/300.35 58312[16:Rew:54986.0,50987.0] || -> equal(cross_product(u,sigma(powerset(v))),a) member(second(f24(cross_product(u,sigma(powerset(v))))),v)*. % 299.97/300.35 58313[16:Rew:54986.0,50988.0] || -> equal(cross_product(sigma(powerset(u)),v),a) member(first(f24(cross_product(sigma(powerset(u)),v))),u)*. % 299.97/300.35 58314[16:Rew:54986.0,51224.1] || member(sigma(infinity),apply(u,v)) -> member(a,sigma(second(f28(sigma(infinity),u,v))))*. % 299.97/300.35 58315[16:Rew:54986.0,51491.2] || -> disjoint(powerset(f25),u) single_valued_set(f23(powerset(f25),u)) equal(f19(f23(powerset(f25),u)),a)**. % 299.97/300.35 58316[16:Rew:54986.0,51492.2] || -> subset(powerset(f25),u) single_valued_set(f17(powerset(f25),u)) equal(f19(f17(powerset(f25),u)),a)**. % 299.97/300.35 58317[16:Rew:54986.0,51493.2] || -> disjoint(u,powerset(f25)) single_valued_set(f23(u,powerset(f25))) equal(f19(f23(u,powerset(f25))),a)**. % 299.97/300.35 58320[16:Rew:54986.0,51568.0] || -> member(a,sigma(complement(converse(u))))* ordered_pair_predicate(ordered_pair(second(ordered_pair(universal_set,v)),first(ordered_pair(universal_set,v))))*. % 299.97/300.35 67212[0:Obv:67202.1] little_set(u) || member(v,rotate_right(w))* equal(u,v)* -> member(u,rotate_right(w))*. % 299.97/300.35 67217[0:SSi:67184.0,371.0,371.0] little_set(u) || member(v,rotate_right(w))* equal(u,v)* -> member(u,rotate_right(universal_set))*. % 299.97/300.35 67294[0:SSi:67271.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w))* equal(u,v)* -> member(u,rotate_right(universal_set))*. % 299.97/300.35 67359[0:SSi:67336.0,371.0,371.0] little_set(u) || member(v,rotate_right(w))* equal(u,v)* -> member(u,flip_range_of(universal_set))*. % 299.97/300.35 67424[0:Obv:67414.1] little_set(u) || member(v,flip_range_of(w))* equal(u,v)* -> member(u,flip_range_of(w))*. % 299.97/300.35 67429[0:SSi:67396.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w))* equal(u,v)* -> member(u,flip_range_of(universal_set))*. % 299.97/300.35 67546[16:Res:1103.2,58846.0] little_set(successor(a)) || equal(successor(a),singleton_set(u)) -> member(a,sigma(ordered_pair(u,v)))*. % 299.97/300.35 73290[17:Rew:73253.0,57047.2] || subset(universal_set,converse(u))* subset(u,v)* -> member(ordered_pair(second(a),first(a)),v)*. % 299.97/300.35 73315[17:Rew:73253.0,57071.3] ordered_pair_predicate(u) || subset(universal_set,f2(u))* equal(v,u)* -> member(a,first(v))*. % 299.97/300.35 73316[17:Rew:73253.0,57072.3] ordered_pair_predicate(u) || subset(universal_set,f3(u))* equal(v,u)* -> member(a,second(v))*. % 299.97/300.35 78604[16:Res:87.1,56189.0] || -> single_valued_set(u) equal(ordered_pair(f19(u),f21(u)),a) little_set(f26(ordered_pair(f19(u),f21(u))))*. % 299.97/300.35 78605[16:Res:86.1,56189.0] || -> single_valued_set(u) equal(ordered_pair(f19(u),f20(u)),a) little_set(f26(ordered_pair(f19(u),f20(u))))*. % 299.97/300.35 82464[3:Rew:2239.1,82463.1] || member(second(u),v) member(first(u),w) -> subset(singleton_set(u),cross_product(w,v))*. % 299.97/300.35 82808[16:Res:82637.1,1554.1] || equal(first(f22(u,complement(set_b),v)),a)** member(u,image(complement(set_b),v)) -> . % 299.97/300.35 82961[3:Res:82638.1,1554.1] || equal(first(f22(u,complement(set_a),v)),a)** member(u,image(complement(set_a),v)) -> . % 299.97/300.35 83115[16:Res:82641.1,1554.1] || equal(first(f22(u,complement(infinity),v)),a)** member(u,image(complement(infinity),v)) -> . % 299.97/300.35 83885[16:Res:87.1,83606.1] || subset(ordered_pair(f19(f24(powerset(u))),f21(f24(powerset(u)))),u)* -> single_valued_set(f24(powerset(u))). % 299.97/300.35 83886[16:Res:86.1,83606.1] || subset(ordered_pair(f19(f24(powerset(u))),f20(f24(powerset(u)))),u)* -> single_valued_set(f24(powerset(u))). % 299.97/300.35 83904[16:Res:55149.1,83606.1] || subset(f24(intersection(f24(powerset(u)),v)),u)* -> equal(intersection(f24(powerset(u)),v),a). % 299.97/300.35 83943[16:Res:55150.1,83606.1] || subset(f24(intersection(u,f24(powerset(v)))),v)* -> equal(intersection(u,f24(powerset(v))),a). % 299.97/300.35 83982[16:Res:956.2,83606.1] || subset(u,f24(powerset(v))) subset(ordered_pair(f19(u),f21(u)),v)* -> single_valued_set(u). % 299.97/300.35 83983[16:Res:957.2,83606.1] || subset(u,f24(powerset(v))) subset(ordered_pair(f19(u),f20(u)),v)* -> single_valued_set(u). % 299.97/300.35 84075[2:Res:87.1,25433.0] || subset(u,ordered_pair(f19(image(u,v)),f21(image(u,v))))* -> single_valued_set(image(u,v)). % 299.97/300.35 84076[2:Res:86.1,25433.0] || subset(u,ordered_pair(f19(image(u,v)),f20(image(u,v))))* -> single_valued_set(image(u,v)). % 299.97/300.35 84094[16:Res:55149.1,25433.0] || subset(u,f24(intersection(image(u,v),w)))* -> equal(intersection(image(u,v),w),a). % 299.97/300.35 84133[16:Res:55150.1,25433.0] || subset(u,f24(intersection(v,image(u,w))))* -> equal(intersection(v,image(u,w)),a). % 299.97/300.35 84172[2:Res:956.2,25433.0] || subset(u,image(v,w))* subset(v,ordered_pair(f19(u),f21(u)))* -> single_valued_set(u). % 299.97/300.35 84173[2:Res:957.2,25433.0] || subset(u,image(v,w))* subset(v,ordered_pair(f19(u),f20(u)))* -> single_valued_set(u). % 299.97/300.35 86774[16:SoR:10938.0,57822.2] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),v)* -> equal(second(v),a)**. % 299.97/300.35 86775[16:SoR:10938.0,57826.2] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),v)* -> equal(first(v),a)**. % 299.97/300.35 87632[16:Res:82665.1,56124.1] little_set(u) || equal(f26(u),a) disjoint(sigma(infinity),u)* -> equal(u,a). % 299.97/300.35 87643[16:Res:82665.1,1225.1] || equal(f8(u,v),a) member(u,domain_of(v))* disjoint(sigma(infinity),v) -> . % 299.97/300.35 87646[16:Res:82665.1,1223.1] || equal(f27(u,v),a) member(u,range_of(v))* disjoint(sigma(infinity),v) -> . % 299.97/300.35 87656[16:Res:82665.1,377.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** -> member(u,converse(sigma(infinity))). % 299.97/300.35 87679[16:Res:82665.1,258.0] || equal(ordered_pair(f19(complement(sigma(infinity))),f21(complement(sigma(infinity)))),a)** -> single_valued_set(complement(sigma(infinity))). % 299.97/300.35 87680[16:Res:82665.1,259.0] || equal(ordered_pair(f19(complement(sigma(infinity))),f20(complement(sigma(infinity)))),a)** -> single_valued_set(complement(sigma(infinity))). % 299.97/300.35 87683[16:Res:82665.1,1472.1] || equal(first(f22(sigma(infinity),u,v)),a)** member(sigma(infinity),image(u,v)) -> . % 299.97/300.35 87786[16:Res:82681.1,56124.1] little_set(u) || equal(f26(u),a) disjoint(successor(a),u)* -> equal(u,a). % 299.97/300.35 87797[16:Res:82681.1,1225.1] || equal(f8(u,v),a) member(u,domain_of(v))* disjoint(successor(a),v) -> . % 299.97/300.35 87800[16:Res:82681.1,1223.1] || equal(f27(u,v),a) member(u,range_of(v))* disjoint(successor(a),v) -> . % 299.97/300.35 87810[16:Res:82681.1,377.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** -> member(u,converse(successor(a))). % 299.97/300.35 87833[16:Res:82681.1,258.0] || equal(ordered_pair(f19(complement(successor(a))),f21(complement(successor(a)))),a)** -> single_valued_set(complement(successor(a))). % 299.97/300.35 87834[16:Res:82681.1,259.0] || equal(ordered_pair(f19(complement(successor(a))),f20(complement(successor(a)))),a)** -> single_valued_set(complement(successor(a))). % 299.97/300.35 87837[16:Res:82681.1,1472.1] || equal(first(f22(successor(a),u,v)),a)** member(successor(a),image(u,v)) -> . % 299.97/300.35 87946[16:Rew:87905.1,87764.1] || equal(f1(successor(a),complement(u)),a)** -> member(a,u) equal(successor(a),complement(u)). % 299.97/300.35 87947[16:Rew:87905.1,87610.1] || equal(f1(sigma(infinity),complement(u)),a)** -> member(a,u) equal(sigma(infinity),complement(u)). % 299.97/300.35 87952[16:Rew:87905.1,87782.2] || equal(f1(u,complement(successor(a))),a)** -> equal(u,complement(successor(a))) member(a,u). % 299.97/300.35 87953[16:Rew:87905.1,87628.2] || equal(f1(u,complement(sigma(infinity))),a)** -> equal(u,complement(sigma(infinity))) member(a,u). % 299.97/300.35 87961[16:Rew:87905.1,87767.2] || equal(f1(complement(successor(a)),u),a)** -> equal(complement(successor(a)),u) member(a,u). % 299.97/300.35 87962[16:Rew:87905.1,87613.2] || equal(f1(complement(sigma(infinity)),u),a)** -> equal(complement(sigma(infinity)),u) member(a,u). % 299.97/300.35 87977[16:Rew:87905.1,83082.3] || equal(f1(u,v),a)** disjoint(infinity,u) -> equal(u,v) member(a,v). % 299.97/300.35 87978[16:Rew:87905.1,82928.3] || equal(f1(u,v),a)** disjoint(set_a,u) -> equal(u,v) member(a,v). % 299.97/300.35 87979[16:Rew:87905.1,82775.3] || equal(f1(u,v),a)** disjoint(set_b,u) -> equal(u,v) member(a,v). % 299.97/300.35 87984[16:Rew:87905.1,83083.3] || equal(f1(u,v),a)** disjoint(infinity,v) -> equal(u,v) member(a,u). % 299.97/300.35 87985[16:Rew:87905.1,82929.3] || equal(f1(u,v),a)** disjoint(set_a,v) -> equal(u,v) member(a,u). % 299.97/300.35 87986[16:Rew:87905.1,82776.3] || equal(f1(u,v),a)** disjoint(set_b,v) -> equal(u,v) member(a,u). % 299.97/300.35 88111[3:Res:82671.1,1213.0] || equal(f23(u,v),infinity) disjoint(singleton_set(f23(u,v)),u)* -> disjoint(u,v). % 299.97/300.35 88112[3:Res:82671.1,1221.0] || equal(f23(u,v),infinity) disjoint(singleton_set(f23(u,v)),v)* -> disjoint(u,v). % 299.97/300.35 88113[3:Res:82671.1,1214.0] || equal(f17(u,v),infinity) disjoint(singleton_set(f17(u,v)),u)* -> subset(u,v). % 299.97/300.35 88225[16:Rew:57402.0,88190.1] || member(f1(union(u,a),a),intersection(complement(u),universal_set))* -> equal(union(u,a),a). % 299.97/300.35 88226[16:Rew:57520.0,88191.1] || member(f1(union(a,u),a),intersection(universal_set,complement(u)))* -> equal(union(a,u),a). % 299.97/300.35 88232[16:MRR:88215.0,5.0] || equal(f1(complement(ordered_pair(u,v)),a),singleton_set(u))** -> equal(complement(ordered_pair(u,v)),a). % 299.97/300.35 88305[16:Rew:57402.0,88270.1] || member(f1(a,union(u,a)),intersection(complement(u),universal_set))* -> equal(union(u,a),a). % 299.97/300.35 88306[16:Rew:57520.0,88271.1] || member(f1(a,union(a,u)),intersection(universal_set,complement(u)))* -> equal(union(a,u),a). % 299.97/300.35 88312[16:MRR:88295.0,5.0] || equal(f1(a,complement(ordered_pair(u,v))),singleton_set(u))** -> equal(complement(ordered_pair(u,v)),a). % 299.97/300.35 88394[16:Res:57853.0,4549.0] || equal(u,f24(complement(complement(flip_range_of(v)))))* -> equal(complement(complement(flip_range_of(v))),a) ordered_pair_predicate(u)*. % 299.97/300.35 88397[16:Res:57853.0,4578.0] || equal(u,f24(complement(complement(rotate_right(v)))))* -> equal(complement(complement(rotate_right(v))),a) ordered_pair_predicate(u)*. % 299.97/300.35 88429[16:Res:57853.0,25433.0] || subset(u,f24(complement(complement(image(u,v)))))* -> equal(complement(complement(image(u,v))),a). % 299.97/300.35 88435[16:Res:57853.0,83606.1] || subset(f24(complement(complement(f24(powerset(u))))),u)* -> equal(complement(complement(f24(powerset(u)))),a). % 299.97/300.35 88458[16:Rew:57402.0,88376.1] || -> member(f24(complement(union(u,a))),intersection(complement(u),universal_set))* equal(complement(union(u,a)),a). % 299.97/300.35 88459[16:Rew:57520.0,88377.1] || -> member(f24(complement(union(a,u))),intersection(universal_set,complement(u)))* equal(complement(union(a,u)),a). % 299.97/300.35 89078[0:SpL:36.0,1500.1] little_set(u) || disjoint(union(v,w),universal_set) -> member(u,intersection(complement(v),complement(w)))*. % 299.97/300.35 89147[0:SpL:36.0,14370.1] || member(u,converse(intersection(complement(v),complement(w))))* member(u,converse(union(v,w))) -> . % 299.97/300.35 89166[0:Res:4258.0,14370.1] || member(f1(complement(converse(complement(u))),universal_set),converse(u))* -> equal(complement(converse(complement(u))),universal_set). % 299.97/300.35 89168[2:Res:25246.0,14370.1] || member(f1(universal_set,complement(converse(complement(u)))),converse(u))* -> equal(complement(converse(complement(u))),universal_set). % 299.97/300.35 89188[0:Res:954.2,14370.1] || subset(u,converse(complement(v))) member(f23(u,w),converse(v))* -> disjoint(u,w). % 299.97/300.35 89190[0:Res:961.2,14370.1] || subset(u,converse(complement(v))) member(f23(w,u),converse(v))* -> disjoint(w,u). % 299.97/300.35 89192[0:Res:395.0,14370.1] || member(f17(u,complement(converse(complement(v)))),converse(v))* -> subset(u,complement(converse(complement(v)))). % 299.97/300.35 89193[0:Res:955.2,14370.1] || subset(u,converse(complement(v))) member(f17(u,w),converse(v))* -> subset(u,w). % 299.97/300.35 89195[0:Res:38.1,14370.1] || member(u,domain_of(converse(complement(v)))) member(f8(u,converse(complement(v))),converse(v))* -> . % 299.97/300.35 89197[0:Res:66.1,14370.1] || member(u,sigma(converse(complement(v)))) member(f16(u,converse(complement(v))),converse(v))* -> . % 299.97/300.35 89199[0:Res:107.1,14370.1] || member(u,range_of(converse(complement(v)))) member(f27(u,converse(complement(v))),converse(v))* -> . % 299.97/300.35 89213[0:Res:960.2,14370.1] || member(u,infinity) subset(infinity,converse(complement(v)))* member(successor(u),converse(v))* -> . % 299.97/300.35 89247[0:Res:46.1,14370.1] || member(u,converse(converse(complement(v)))) member(ordered_pair(second(u),first(u)),converse(v))* -> . % 299.97/300.35 89422[0:Res:954.2,43745.1] || subset(u,flip_range_of(complement(flip_range_of(v))))* member(f23(u,w),v)* -> disjoint(u,w). % 299.97/300.35 89424[0:Res:961.2,43745.1] || subset(u,flip_range_of(complement(flip_range_of(v))))* member(f23(w,u),v)* -> disjoint(w,u). % 299.97/300.35 89427[0:Res:955.2,43745.1] || subset(u,flip_range_of(complement(flip_range_of(v))))* member(f17(u,w),v)* -> subset(u,w). % 299.97/300.35 89447[0:Res:960.2,43745.1] || member(u,infinity) subset(infinity,flip_range_of(complement(flip_range_of(v))))* member(successor(u),v)* -> . % 299.97/300.35 89481[0:Res:46.1,43745.1] || member(u,converse(flip_range_of(complement(flip_range_of(v))))) member(ordered_pair(second(u),first(u)),v)* -> . % 299.97/300.35 89582[16:Res:225.1,56180.0] || disjoint(u,universal_set) -> single_valued_set(powerset(u)) equal(ordered_pair(f19(powerset(u)),f21(powerset(u))),a)**. % 299.97/300.35 89583[16:Res:234.1,56180.0] || disjoint(u,universal_set) -> single_valued_set(powerset(u)) equal(ordered_pair(f19(powerset(u)),f20(powerset(u))),a)**. % 299.97/300.35 89597[16:Res:423.1,56180.0] || member(u,range_of(powerset(v)))* disjoint(v,universal_set) -> equal(f27(u,powerset(v)),a). % 299.97/300.35 89598[16:Res:452.1,56180.0] || member(u,sigma(powerset(v)))* disjoint(v,universal_set) -> equal(f16(u,powerset(v)),a). % 299.97/300.35 89599[16:Res:490.1,56180.0] || member(u,domain_of(powerset(v)))* disjoint(v,universal_set) -> equal(f8(u,powerset(v)),a). % 299.97/300.35 90911[16:Rew:90184.0,87976.1] || equal(f1(u,v),a)** disjoint(universal_set,u) -> equal(u,v) member(a,v). % 299.97/300.35 91048[16:Rew:90184.0,87983.1] || equal(f1(u,v),a)** disjoint(universal_set,v) -> equal(u,v) member(a,u). % 299.97/300.35 91774[16:Res:88690.1,4116.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** -> member(u,converse(powerset(v)))*. % 299.97/300.35 92598[0:Res:954.2,19261.0] || subset(u,sigma(intersection(v,w)))* -> disjoint(u,x) member(f23(u,x),sigma(v))*. % 299.97/300.35 92600[0:Res:961.2,19261.0] || subset(u,sigma(intersection(v,w)))* -> disjoint(x,u) member(f23(x,u),sigma(v))*. % 299.97/300.35 92603[0:Res:955.2,19261.0] || subset(u,sigma(intersection(v,w)))* -> subset(u,x) member(f17(u,x),sigma(v))*. % 299.97/300.35 92623[0:Res:960.2,19261.0] || member(u,infinity) subset(infinity,sigma(intersection(v,w)))* -> member(successor(u),sigma(v))*. % 299.97/300.35 92657[0:Res:46.1,19261.0] || member(u,converse(sigma(intersection(v,w))))* -> member(ordered_pair(second(u),first(u)),sigma(v))*. % 299.97/300.35 92707[0:Res:1151.2,19261.0] || member(u,intersection(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),sigma(v))*. % 299.97/300.35 92708[0:Res:1152.2,19261.0] || member(u,intersection(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),sigma(v))*. % 299.97/300.35 92800[0:Res:954.2,19263.0] || subset(u,sigma(intersection(v,w)))* -> disjoint(u,x) member(f23(u,x),sigma(w))*. % 299.97/300.35 92802[0:Res:961.2,19263.0] || subset(u,sigma(intersection(v,w)))* -> disjoint(x,u) member(f23(x,u),sigma(w))*. % 299.97/300.35 92805[0:Res:955.2,19263.0] || subset(u,sigma(intersection(v,w)))* -> subset(u,x) member(f17(u,x),sigma(w))*. % 299.97/300.35 92825[0:Res:960.2,19263.0] || member(u,infinity) subset(infinity,sigma(intersection(v,w)))* -> member(successor(u),sigma(w))*. % 299.97/300.35 92859[0:Res:46.1,19263.0] || member(u,converse(sigma(intersection(v,w))))* -> member(ordered_pair(second(u),first(u)),sigma(w))*. % 299.97/300.35 92909[0:Res:1151.2,19263.0] || member(u,intersection(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),sigma(w))*. % 299.97/300.35 92910[0:Res:1152.2,19263.0] || member(u,intersection(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),sigma(w))*. % 299.97/300.35 94181[16:Res:57719.1,98.0] || member(f24(restrict(u,v)),w)* disjoint(w,u) -> equal(restrict(u,v),a). % 299.97/300.35 94182[16:Res:57719.1,68.0] || member(u,v) -> equal(restrict(u,w),a) member(f24(restrict(u,w)),sigma(v))*. % 299.97/300.35 94186[16:Res:57719.1,42.0] || -> equal(restrict(cross_product(u,v),w),a) member(first(f24(restrict(cross_product(u,v),w))),u)*. % 299.97/300.35 94187[16:Res:57719.1,43.0] || -> equal(restrict(cross_product(u,v),w),a) member(second(f24(restrict(cross_product(u,v),w))),v)*. % 299.97/300.35 94189[16:Res:57719.1,4549.0] || equal(u,f24(restrict(flip_range_of(v),w)))* -> equal(restrict(flip_range_of(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 94193[16:Res:57719.1,4578.0] || equal(u,f24(restrict(rotate_right(v),w)))* -> equal(restrict(rotate_right(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 94225[16:Res:57719.1,25433.0] || subset(u,f24(restrict(image(u,v),w)))* -> equal(restrict(image(u,v),w),a). % 299.97/300.35 94231[16:Res:57719.1,83606.1] || subset(f24(restrict(f24(powerset(u)),v)),u)* -> equal(restrict(f24(powerset(u)),v),a). % 299.97/300.35 94454[0:Res:225.1,14041.0] || disjoint(u,v) -> single_valued_set(powerset(u)) disjoint(ordered_pair(f19(powerset(u)),f21(powerset(u))),v)*. % 299.97/300.35 94455[0:Res:234.1,14041.0] || disjoint(u,v) -> single_valued_set(powerset(u)) disjoint(ordered_pair(f19(powerset(u)),f20(powerset(u))),v)*. % 299.97/300.35 94470[0:Res:423.1,14041.0] || member(u,range_of(powerset(v))) disjoint(v,w) -> disjoint(f27(u,powerset(v)),w)*. % 299.97/300.35 94471[0:Res:452.1,14041.0] || member(u,sigma(powerset(v))) disjoint(v,w) -> disjoint(f16(u,powerset(v)),w)*. % 299.97/300.35 94472[0:Res:490.1,14041.0] || member(u,domain_of(powerset(v))) disjoint(v,w) -> disjoint(f8(u,powerset(v)),w)*. % 299.97/300.35 94784[0:Res:225.1,14151.0] || disjoint(u,v) -> single_valued_set(powerset(u)) disjoint(v,ordered_pair(f19(powerset(u)),f21(powerset(u))))*. % 299.97/300.35 94785[0:Res:234.1,14151.0] || disjoint(u,v) -> single_valued_set(powerset(u)) disjoint(v,ordered_pair(f19(powerset(u)),f20(powerset(u))))*. % 299.97/300.35 94800[0:Res:423.1,14151.0] || member(u,range_of(powerset(v))) disjoint(v,w) -> disjoint(w,f27(u,powerset(v)))*. % 299.97/300.35 94801[0:Res:452.1,14151.0] || member(u,sigma(powerset(v))) disjoint(v,w) -> disjoint(w,f16(u,powerset(v)))*. % 299.97/300.35 94802[0:Res:490.1,14151.0] || member(u,domain_of(powerset(v))) disjoint(v,w) -> disjoint(w,f8(u,powerset(v)))*. % 299.97/300.35 94853[16:Res:91681.1,1015.0] || equal(complement(converse(cross_product(u,v))),a)** -> member(second(ordered_pair(second(infinity),first(infinity))),v)*. % 299.97/300.35 94854[16:Res:91681.1,1014.0] || equal(complement(converse(cross_product(u,v))),a)** -> member(first(ordered_pair(second(infinity),first(infinity))),u)*. % 299.97/300.35 94885[16:Res:91681.1,1421.0] || equal(complement(ordered_pair(u,v)),a)** -> equal(non_ordered_pair(u,v),infinity) equal(singleton_set(u),infinity). % 299.97/300.35 95381[16:Res:92031.1,1015.0] || equal(complement(converse(cross_product(u,v))),a)** -> member(second(ordered_pair(second(a),first(a))),v)*. % 299.97/300.35 95382[16:Res:92031.1,1014.0] || equal(complement(converse(cross_product(u,v))),a)** -> member(first(ordered_pair(second(a),first(a))),u)*. % 299.97/300.35 95413[16:Res:92031.1,1421.0] || equal(complement(ordered_pair(u,v)),a)** -> equal(non_ordered_pair(u,v),a) equal(singleton_set(u),a). % 299.97/300.35 96124[0:SpR:2390.1,1103.2] little_set(u) || equal(u,singleton_set(f19(singleton_set(v))))* -> single_valued_set(singleton_set(v)) member(u,v)*. % 299.97/300.35 96321[16:Res:3651.2,92502.1] || member(u,cross_product(v,universal_set))* member(u,w)* equal(restrict(w,v),a)** -> . % 299.97/300.35 96341[16:Res:3825.1,92502.1] || equal(a,u) -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),w)*. % 299.97/300.35 96342[16:Res:3824.1,92502.1] || equal(a,u) -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),v)*. % 299.97/300.35 96423[16:Res:3843.1,92502.1] || equal(a,u) -> equal(intersection(v,w),u) member(f1(intersection(v,w),u),w)*. % 299.97/300.35 96424[16:Res:3842.1,92502.1] || equal(a,u) -> equal(intersection(v,w),u) member(f1(intersection(v,w),u),v)*. % 299.97/300.35 96959[0:Res:21407.1,70.0] ordered_pair_predicate(u) || subset(converse(powerset(ordered_pair(second(u),first(u)))),v)* -> member(u,v). % 299.97/300.35 96978[16:Res:21407.1,58846.0] ordered_pair_predicate(successor(a)) || -> member(a,sigma(converse(powerset(ordered_pair(second(successor(a)),first(successor(a)))))))*. % 299.97/300.35 96983[16:Res:21407.1,55400.0] ordered_pair_predicate(powerset(u)) || -> member(a,sigma(converse(powerset(ordered_pair(second(powerset(u)),first(powerset(u)))))))*. % 299.97/300.35 97069[3:SSi:96974.0,63.0,15957.0] || disjoint(converse(powerset(ordered_pair(second(infinity),first(infinity)))),converse(powerset(ordered_pair(second(infinity),first(infinity)))))* -> . % 299.97/300.35 97072[3:MRR:96980.0,6165.1] || member(u,infinity) disjoint(converse(powerset(ordered_pair(second(successor(u)),first(successor(u))))),infinity)* -> . % 299.97/300.35 97080[0:MRR:97079.0,106.1] || member(u,range_of(v)) disjoint(converse(powerset(ordered_pair(u,first(f27(u,v))))),v)* -> . % 299.97/300.35 97084[0:MRR:97083.0,37.1] || member(u,domain_of(v)) disjoint(converse(powerset(ordered_pair(second(f8(u,v)),u))),v)* -> . % 299.97/300.35 97517[0:Res:625.1,14151.0] || disjoint(u,v) -> subset(w,complement(powerset(u))) disjoint(v,f17(w,complement(powerset(u))))*. % 299.97/300.35 97520[0:Res:625.1,14041.0] || disjoint(u,v) -> subset(w,complement(powerset(u))) disjoint(f17(w,complement(powerset(u))),v)*. % 299.97/300.35 97526[16:Res:625.1,56180.0] || disjoint(u,universal_set) -> subset(v,complement(powerset(u))) equal(f17(v,complement(powerset(u))),a)**. % 299.97/300.35 97676[16:Res:55065.2,2899.0] || subset(u,domain_of(singleton_set(v))) -> equal(u,a) equal(f8(f24(u),singleton_set(v)),v)**. % 299.97/300.35 97889[16:Res:55065.2,2938.0] || subset(u,sigma(singleton_set(v))) -> equal(u,a) equal(f16(f24(u),singleton_set(v)),v)**. % 299.97/300.35 97968[0:Res:1155.2,2938.0] || member(u,infinity) member(infinity,singleton_set(v)) -> equal(f16(successor(u),singleton_set(v)),v)**. % 299.97/300.35 97969[0:Res:1150.2,2938.0] || member(u,singleton_set(v)) -> subset(u,w) equal(f16(f17(u,w),singleton_set(v)),v)**. % 299.97/300.35 97970[0:Res:1149.2,2938.0] || member(u,singleton_set(v)) -> disjoint(u,w) equal(f16(f23(u,w),singleton_set(v)),v)**. % 299.97/300.35 97971[0:Res:1157.2,2938.0] || member(u,singleton_set(v)) -> disjoint(w,u) equal(f16(f23(w,u),singleton_set(v)),v)**. % 299.97/300.35 98040[16:Obv:98036.1] || equal(u,a) -> equal(f17(non_ordered_pair(v,u),set_b),v)** subset(non_ordered_pair(v,u),set_b). % 299.97/300.35 98041[16:Obv:98035.1] || equal(u,a) -> equal(f17(non_ordered_pair(u,v),set_b),v)** subset(non_ordered_pair(u,v),set_b). % 299.97/300.35 98132[16:Res:55065.2,2959.0] || subset(u,range_of(singleton_set(v))) -> equal(u,a) equal(f27(f24(u),singleton_set(v)),v)**. % 299.97/300.35 98375[0:Res:8090.0,70.0] || subset(u,v) -> subset(complement(complement(u)),w) member(f17(complement(complement(u)),w),v)*. % 299.97/300.35 98404[0:Res:8090.0,10964.0] || -> subset(complement(complement(complement(complement(u)))),v) member(f17(complement(complement(complement(complement(u)))),v),u)*. % 299.97/300.35 98411[0:Res:8090.0,31.0] || -> subset(complement(complement(intersection(u,v))),w) member(f17(complement(complement(intersection(u,v))),w),u)*. % 299.97/300.35 98412[0:Res:8090.0,32.0] || -> subset(complement(complement(intersection(u,v))),w) member(f17(complement(complement(intersection(u,v))),w),v)*. % 299.97/300.35 98414[0:Res:8090.0,15955.0] || -> subset(complement(complement(sigma(powerset(u)))),v) member(f17(complement(complement(sigma(powerset(u)))),v),u)*. % 299.97/300.35 98418[0:Res:8090.0,282.0] || -> subset(complement(complement(restrict(u,v))),w) member(f17(complement(complement(restrict(u,v))),w),u)*. % 299.97/300.35 98491[0:Res:9082.0,70.0] || subset(u,v) -> disjoint(w,complement(complement(u))) member(f23(w,complement(complement(u))),v)*. % 299.97/300.35 98520[0:Res:9082.0,10964.0] || -> disjoint(u,complement(complement(complement(complement(v))))) member(f23(u,complement(complement(complement(complement(v))))),v)*. % 299.97/300.35 98527[0:Res:9082.0,31.0] || -> disjoint(u,complement(complement(intersection(v,w)))) member(f23(u,complement(complement(intersection(v,w)))),v)*. % 299.97/300.35 98528[0:Res:9082.0,32.0] || -> disjoint(u,complement(complement(intersection(v,w)))) member(f23(u,complement(complement(intersection(v,w)))),w)*. % 299.97/300.35 98530[0:Res:9082.0,15955.0] || -> disjoint(u,complement(complement(sigma(powerset(v))))) member(f23(u,complement(complement(sigma(powerset(v))))),v)*. % 299.97/300.35 98534[0:Res:9082.0,282.0] || -> disjoint(u,complement(complement(restrict(v,w)))) member(f23(u,complement(complement(restrict(v,w)))),v)*. % 299.97/300.35 98681[0:Res:9151.0,70.0] || subset(u,v) -> disjoint(complement(complement(u)),w) member(f23(complement(complement(u)),w),v)*. % 299.97/300.35 98710[0:Res:9151.0,10964.0] || -> disjoint(complement(complement(complement(complement(u)))),v) member(f23(complement(complement(complement(complement(u)))),v),u)*. % 299.97/300.35 98717[0:Res:9151.0,31.0] || -> disjoint(complement(complement(intersection(u,v))),w) member(f23(complement(complement(intersection(u,v))),w),u)*. % 299.97/300.35 98718[0:Res:9151.0,32.0] || -> disjoint(complement(complement(intersection(u,v))),w) member(f23(complement(complement(intersection(u,v))),w),v)*. % 299.97/300.35 98720[0:Res:9151.0,15955.0] || -> disjoint(complement(complement(sigma(powerset(u)))),v) member(f23(complement(complement(sigma(powerset(u)))),v),u)*. % 299.97/300.35 98724[0:Res:9151.0,282.0] || -> disjoint(complement(complement(restrict(u,v))),w) member(f23(complement(complement(restrict(u,v))),w),u)*. % 299.97/300.35 98864[16:Res:98045.1,1204.2] || disjoint(set_b,f4(u,v))* member(u,first(v)) member(u,powerset(a)) -> . % 299.97/300.35 98865[16:Res:98045.1,1203.2] || disjoint(set_b,f7(u,v))* member(u,second(v)) member(u,powerset(a)) -> . % 299.97/300.35 98866[16:Res:98045.1,1202.2] || disjoint(set_b,f16(u,v))* member(u,sigma(v)) member(u,powerset(a)) -> . % 299.97/300.35 99190[16:Res:3651.2,98786.1] || member(a,cross_product(u,universal_set))* member(a,v) disjoint(set_b,restrict(v,u))* -> . % 299.97/300.35 99235[16:SSi:99166.0,159.0,991.0,55026.0] || member(second(a),u) member(first(a),v) disjoint(set_b,cross_product(v,u))* -> . % 299.97/300.35 99269[16:SpR:57402.0,18201.1] ordered_pair_predicate(u) || -> member(u,converse(union(v,a))) member(u,converse(intersection(complement(v),universal_set)))*. % 299.97/300.35 99270[16:SpR:57520.0,18201.1] ordered_pair_predicate(u) || -> member(u,converse(union(a,v))) member(u,converse(intersection(universal_set,complement(v))))*. % 299.97/300.35 99282[0:Res:18201.1,70.0] ordered_pair_predicate(u) || subset(converse(complement(v)),w)* -> member(u,converse(v))* member(u,w)*. % 299.97/300.35 99454[3:SSi:99356.0,5742.0,371.1] || disjoint(converse(complement(u)),v) -> member(ordered_pair(f19(v),f20(v)),converse(u))* single_valued_set(v). % 299.97/300.35 99455[3:SSi:99355.0,5742.0,371.1] || disjoint(converse(complement(u)),v) -> member(ordered_pair(f19(v),f21(v)),converse(u))* single_valued_set(v). % 299.97/300.35 99456[3:SSi:99350.0,5742.0,371.1] || member(u,converse(complement(converse(complement(v))))) -> member(ordered_pair(second(u),first(u)),converse(v))*. % 299.97/300.35 99598[0:Res:22366.2,70.0] ordered_pair_predicate(u) || member(v,f2(u))* subset(first(u),w)* -> member(v,w)*. % 299.97/300.35 99624[3:Res:22366.2,20705.0] ordered_pair_predicate(u) || member(complement(sigma(first(u))),f2(u))* -> member(infinity,sigma(first(u))). % 299.97/300.35 99625[16:Res:22366.2,55139.0] ordered_pair_predicate(u) || member(f24(complement(first(u))),f2(u))* -> equal(complement(first(u)),a). % 299.97/300.35 99791[0:Res:22612.2,70.0] ordered_pair_predicate(u) || member(v,f3(u))* subset(second(u),w)* -> member(v,w)*. % 299.97/300.35 99818[3:Res:22612.2,20705.0] ordered_pair_predicate(u) || member(complement(sigma(second(u))),f3(u))* -> member(infinity,sigma(second(u))). % 299.97/300.35 99819[16:Res:22612.2,55139.0] ordered_pair_predicate(u) || member(f24(complement(second(u))),f3(u))* -> equal(complement(second(u)),a). % 299.97/300.35 99981[16:Res:59019.2,70.0] || subset(u,v)* subset(v,w)* -> equal(u,a) member(f1(u,a),w)*. % 299.97/300.35 99987[16:Res:59019.2,4549.0] || subset(u,flip_range_of(v))* equal(w,f1(u,a))* -> equal(u,a) ordered_pair_predicate(w)*. % 299.97/300.35 99988[16:Res:59019.2,43745.1] || subset(u,flip_range_of(complement(flip_range_of(v))))* member(f1(u,a),v) -> equal(u,a). % 299.97/300.35 99991[16:Res:59019.2,4578.0] || subset(u,rotate_right(v))* equal(w,f1(u,a))* -> equal(u,a) ordered_pair_predicate(w)*. % 299.97/300.35 100000[16:Res:59019.2,14370.1] || subset(u,converse(complement(v))) member(f1(u,a),converse(v))* -> equal(u,a). % 299.97/300.35 100023[16:Res:59019.2,19263.0] || subset(u,sigma(intersection(v,w)))* -> equal(u,a) member(f1(u,a),sigma(w)). % 299.97/300.35 100024[16:Res:59019.2,19261.0] || subset(u,sigma(intersection(v,w)))* -> equal(u,a) member(f1(u,a),sigma(v)). % 299.97/300.35 100025[16:Res:59019.2,274.0] || subset(u,restrict(v,w))* -> equal(u,a) member(f1(u,a),cross_product(w,universal_set))*. % 299.97/300.35 100031[16:Res:59019.2,1354.0] || subset(u,image(v,cross_product(w,x)))* -> equal(u,a) member(f1(u,a),x). % 299.97/300.35 100171[0:Res:98305.0,944.2] little_set(u) || subset(u,v)* -> member(w,powerset(v))* member(u,complement(singleton_set(w)))*. % 299.97/300.35 100256[16:Res:56165.2,14151.0] || subset(u,powerset(v))* disjoint(v,w)* -> equal(u,a) disjoint(w,f24(u))*. % 299.97/300.35 100259[16:Res:56165.2,14041.0] || subset(u,powerset(v))* disjoint(v,w)* -> equal(u,a) disjoint(f24(u),w)*. % 299.97/300.35 100265[16:Res:56165.2,56180.0] || subset(u,powerset(v))* disjoint(v,universal_set) -> equal(u,a) equal(f24(u),a). % 299.97/300.35 100271[16:Res:56165.2,57812.0] || subset(u,powerset(f25))* -> equal(u,a) single_valued_set(f24(u)) equal(f19(f24(u)),a). % 299.97/300.35 100514[16:Res:14150.1,56168.1] || disjoint(u,sigma(v)) member(intersection(u,w),v)* -> equal(intersection(u,w),a). % 299.97/300.35 100515[16:Res:14152.1,56168.1] || disjoint(u,sigma(v)) member(intersection(w,u),v)* -> equal(intersection(w,u),a). % 299.97/300.35 100516[16:Res:13941.1,56168.1] || member(sigma(u),v) member(complement(sigma(v)),u)* -> equal(complement(sigma(v)),a). % 299.97/300.35 100517[16:Res:17289.1,56168.1] || disjoint(u,sigma(v)) member(restrict(u,w),v)* -> equal(restrict(u,w),a). % 299.97/300.35 100558[3:Obv:100554.1] || equal(u,a) -> equal(f17(non_ordered_pair(v,u),set_a),v)** subset(non_ordered_pair(v,u),set_a). % 299.97/300.35 100559[3:Obv:100553.1] || equal(u,a) -> equal(f17(non_ordered_pair(u,v),set_a),v)** subset(non_ordered_pair(u,v),set_a). % 299.97/300.35 100594[16:Res:59021.2,70.0] || subset(u,v)* subset(v,w)* -> equal(a,u) member(f1(a,u),w)*. % 299.97/300.35 100600[16:Res:59021.2,4549.0] || subset(u,flip_range_of(v))* equal(w,f1(a,u))* -> equal(a,u) ordered_pair_predicate(w)*. % 299.97/300.35 100601[16:Res:59021.2,43745.1] || subset(u,flip_range_of(complement(flip_range_of(v))))* member(f1(a,u),v) -> equal(a,u). % 299.97/300.35 100604[16:Res:59021.2,4578.0] || subset(u,rotate_right(v))* equal(w,f1(a,u))* -> equal(a,u) ordered_pair_predicate(w)*. % 299.97/300.35 100613[16:Res:59021.2,14370.1] || subset(u,converse(complement(v))) member(f1(a,u),converse(v))* -> equal(a,u). % 299.97/300.35 100636[16:Res:59021.2,19263.0] || subset(u,sigma(intersection(v,w)))* -> equal(a,u) member(f1(a,u),sigma(w)). % 299.97/300.35 100637[16:Res:59021.2,19261.0] || subset(u,sigma(intersection(v,w)))* -> equal(a,u) member(f1(a,u),sigma(v)). % 299.97/300.35 100638[16:Res:59021.2,274.0] || subset(u,restrict(v,w))* -> equal(a,u) member(f1(a,u),cross_product(w,universal_set))*. % 299.97/300.35 100644[16:Res:59021.2,1354.0] || subset(u,image(v,cross_product(w,x)))* -> equal(a,u) member(f1(a,u),x). % 299.97/300.35 100754[16:Res:59048.1,70.0] || subset(u,v) -> equal(intersection(u,w),a) member(f1(intersection(u,w),a),v)*. % 299.97/300.35 100783[16:Res:59048.1,10964.0] || -> equal(intersection(complement(complement(u)),v),a) member(f1(intersection(complement(complement(u)),v),a),u)*. % 299.97/300.35 100790[16:Res:59048.1,31.0] || -> equal(intersection(intersection(u,v),w),a) member(f1(intersection(intersection(u,v),w),a),u)*. % 299.97/300.35 100791[16:Res:59048.1,32.0] || -> equal(intersection(intersection(u,v),w),a) member(f1(intersection(intersection(u,v),w),a),v)*. % 299.97/300.35 100793[16:Res:59048.1,15955.0] || -> equal(intersection(sigma(powerset(u)),v),a) member(f1(intersection(sigma(powerset(u)),v),a),u)*. % 299.97/300.35 100797[16:Res:59048.1,282.0] || -> equal(intersection(restrict(u,v),w),a) member(f1(intersection(restrict(u,v),w),a),u)*. % 299.97/300.35 100871[16:Res:59049.1,70.0] || subset(u,v) -> equal(intersection(w,u),a) member(f1(intersection(w,u),a),v)*. % 299.97/300.35 100900[16:Res:59049.1,10964.0] || -> equal(intersection(u,complement(complement(v))),a) member(f1(intersection(u,complement(complement(v))),a),v)*. % 299.97/300.35 100907[16:Res:59049.1,31.0] || -> equal(intersection(u,intersection(v,w)),a) member(f1(intersection(u,intersection(v,w)),a),v)*. % 299.97/300.35 100908[16:Res:59049.1,32.0] || -> equal(intersection(u,intersection(v,w)),a) member(f1(intersection(u,intersection(v,w)),a),w)*. % 299.97/300.35 100910[16:Res:59049.1,15955.0] || -> equal(intersection(u,sigma(powerset(v))),a) member(f1(intersection(u,sigma(powerset(v))),a),v)*. % 299.97/300.35 100914[16:Res:59049.1,282.0] || -> equal(intersection(u,restrict(v,w)),a) member(f1(intersection(u,restrict(v,w)),a),v)*. % 299.97/300.35 100972[16:Res:59050.1,70.0] || subset(u,v) -> equal(intersection(u,w),a) member(f1(a,intersection(u,w)),v)*. % 299.97/300.35 101001[16:Res:59050.1,10964.0] || -> equal(intersection(complement(complement(u)),v),a) member(f1(a,intersection(complement(complement(u)),v)),u)*. % 299.97/300.35 101008[16:Res:59050.1,31.0] || -> equal(intersection(intersection(u,v),w),a) member(f1(a,intersection(intersection(u,v),w)),u)*. % 299.97/300.35 101009[16:Res:59050.1,32.0] || -> equal(intersection(intersection(u,v),w),a) member(f1(a,intersection(intersection(u,v),w)),v)*. % 299.97/300.35 101011[16:Res:59050.1,15955.0] || -> equal(intersection(sigma(powerset(u)),v),a) member(f1(a,intersection(sigma(powerset(u)),v)),u)*. % 299.97/300.35 101015[16:Res:59050.1,282.0] || -> equal(intersection(restrict(u,v),w),a) member(f1(a,intersection(restrict(u,v),w)),u)*. % 299.97/300.35 101111[16:Res:59051.1,70.0] || subset(u,v) -> equal(intersection(w,u),a) member(f1(a,intersection(w,u)),v)*. % 299.97/300.35 101140[16:Res:59051.1,10964.0] || -> equal(intersection(u,complement(complement(v))),a) member(f1(a,intersection(u,complement(complement(v)))),v)*. % 299.97/300.35 101147[16:Res:59051.1,31.0] || -> equal(intersection(u,intersection(v,w)),a) member(f1(a,intersection(u,intersection(v,w))),v)*. % 299.97/300.35 101148[16:Res:59051.1,32.0] || -> equal(intersection(u,intersection(v,w)),a) member(f1(a,intersection(u,intersection(v,w))),w)*. % 299.97/300.35 101150[16:Res:59051.1,15955.0] || -> equal(intersection(u,sigma(powerset(v))),a) member(f1(a,intersection(u,sigma(powerset(v)))),v)*. % 299.97/300.35 101154[16:Res:59051.1,282.0] || -> equal(intersection(u,restrict(v,w)),a) member(f1(a,intersection(u,restrict(v,w))),v)*. % 299.97/300.35 101244[16:Res:100563.1,1204.2] || disjoint(set_a,f4(u,v))* member(u,first(v)) member(u,powerset(a)) -> . % 299.97/300.35 101245[16:Res:100563.1,1203.2] || disjoint(set_a,f7(u,v))* member(u,second(v)) member(u,powerset(a)) -> . % 299.97/300.35 101246[16:Res:100563.1,1202.2] || disjoint(set_a,f16(u,v))* member(u,sigma(v)) member(u,powerset(a)) -> . % 299.97/300.35 101305[16:Res:59052.1,70.0] || subset(u,v) -> equal(restrict(u,w),a) member(f1(restrict(u,w),a),v)*. % 299.97/300.35 101334[16:Res:59052.1,10964.0] || -> equal(restrict(complement(complement(u)),v),a) member(f1(restrict(complement(complement(u)),v),a),u)*. % 299.97/300.35 101341[16:Res:59052.1,31.0] || -> equal(restrict(intersection(u,v),w),a) member(f1(restrict(intersection(u,v),w),a),u)*. % 299.97/300.35 101342[16:Res:59052.1,32.0] || -> equal(restrict(intersection(u,v),w),a) member(f1(restrict(intersection(u,v),w),a),v)*. % 299.97/300.35 101344[16:Res:59052.1,15955.0] || -> equal(restrict(sigma(powerset(u)),v),a) member(f1(restrict(sigma(powerset(u)),v),a),u)*. % 299.97/300.35 101348[16:Res:59052.1,282.0] || -> equal(restrict(restrict(u,v),w),a) member(f1(restrict(restrict(u,v),w),a),u)*. % 299.97/300.35 101472[16:Res:3651.2,101072.1] || member(a,cross_product(u,universal_set))* member(a,v) disjoint(set_a,restrict(v,u))* -> . % 299.97/300.35 101520[16:SSi:101447.0,159.0,991.0,55026.0] || member(second(a),u) member(first(a),v) disjoint(set_a,cross_product(v,u))* -> . % 299.97/300.35 101565[16:Res:59053.1,70.0] || subset(u,v) -> equal(restrict(u,w),a) member(f1(a,restrict(u,w)),v)*. % 299.97/300.35 101594[16:Res:59053.1,10964.0] || -> equal(restrict(complement(complement(u)),v),a) member(f1(a,restrict(complement(complement(u)),v)),u)*. % 299.97/300.35 101601[16:Res:59053.1,31.0] || -> equal(restrict(intersection(u,v),w),a) member(f1(a,restrict(intersection(u,v),w)),u)*. % 299.97/300.35 101602[16:Res:59053.1,32.0] || -> equal(restrict(intersection(u,v),w),a) member(f1(a,restrict(intersection(u,v),w)),v)*. % 299.97/300.35 101604[16:Res:59053.1,15955.0] || -> equal(restrict(sigma(powerset(u)),v),a) member(f1(a,restrict(sigma(powerset(u)),v)),u)*. % 299.97/300.35 101608[16:Res:59053.1,282.0] || -> equal(restrict(restrict(u,v),w),a) member(f1(a,restrict(restrict(u,v),w)),u)*. % 299.97/300.35 101694[16:Res:57867.1,70.0] || disjoint(complement(u),v)* subset(u,w)* -> equal(v,a) member(f24(v),w)*. % 299.97/300.35 101700[16:Res:57867.1,4549.0] || disjoint(complement(flip_range_of(u)),v)* equal(w,f24(v))* -> equal(v,a) ordered_pair_predicate(w)*. % 299.97/300.35 101701[16:Res:57867.1,43745.1] || disjoint(complement(flip_range_of(complement(flip_range_of(u)))),v)* member(f24(v),u) -> equal(v,a). % 299.97/300.35 101704[16:Res:57867.1,4578.0] || disjoint(complement(rotate_right(u)),v)* equal(w,f24(v))* -> equal(v,a) ordered_pair_predicate(w)*. % 299.97/300.35 101713[16:Res:57867.1,14370.1] || disjoint(complement(converse(complement(u))),v)* member(f24(v),converse(u)) -> equal(v,a). % 299.97/300.35 101736[16:Res:57867.1,19263.0] || disjoint(complement(sigma(intersection(u,v))),w)* -> equal(w,a) member(f24(w),sigma(v)). % 299.97/300.35 101737[16:Res:57867.1,19261.0] || disjoint(complement(sigma(intersection(u,v))),w)* -> equal(w,a) member(f24(w),sigma(u)). % 299.97/300.35 101738[16:Res:57867.1,274.0] || disjoint(complement(restrict(u,v)),w)* -> equal(w,a) member(f24(w),cross_product(v,universal_set))*. % 299.97/300.35 101744[16:Res:57867.1,1354.0] || disjoint(complement(image(u,cross_product(v,w))),x)* -> equal(x,a) member(f24(x),w). % 299.97/300.35 101835[0:Res:3813.2,70.0] || disjoint(u,universal_set) subset(v,w) -> equal(v,u) member(f1(v,u),w)*. % 299.97/300.35 101864[0:Res:3813.2,10964.0] || disjoint(u,universal_set) -> equal(complement(complement(v)),u) member(f1(complement(complement(v)),u),v)*. % 299.97/300.35 101874[0:Res:3813.2,15955.0] || disjoint(u,universal_set) -> equal(sigma(powerset(v)),u) member(f1(sigma(powerset(v)),u),v)*. % 299.97/300.35 101878[0:Res:3813.2,282.0] || disjoint(u,universal_set) -> equal(restrict(v,w),u) member(f1(restrict(v,w),u),v)*. % 299.97/300.35 101969[0:Res:3831.2,70.0] || disjoint(u,universal_set) subset(v,w) -> equal(u,v) member(f1(u,v),w)*. % 299.97/300.35 101998[0:Res:3831.2,10964.0] || disjoint(u,universal_set) -> equal(u,complement(complement(v))) member(f1(u,complement(complement(v))),v)*. % 299.97/300.35 102008[0:Res:3831.2,15955.0] || disjoint(u,universal_set) -> equal(u,sigma(powerset(v))) member(f1(u,sigma(powerset(v))),v)*. % 299.97/300.35 102012[0:Res:3831.2,282.0] || disjoint(u,universal_set) -> equal(u,restrict(v,w)) member(f1(u,restrict(v,w)),v)*. % 299.97/300.35 102155[16:Obv:102151.1] || equal(u,a) -> equal(f17(non_ordered_pair(v,u),infinity),v)** subset(non_ordered_pair(v,u),infinity). % 299.97/300.35 102156[16:Obv:102150.1] || equal(u,a) -> equal(f17(non_ordered_pair(u,v),infinity),v)** subset(non_ordered_pair(u,v),infinity). % 299.97/300.35 102438[16:Res:102160.1,1204.2] || disjoint(infinity,f4(u,v))* member(u,first(v)) member(u,powerset(a)) -> . % 299.97/300.35 102439[16:Res:102160.1,1203.2] || disjoint(infinity,f7(u,v))* member(u,second(v)) member(u,powerset(a)) -> . % 299.97/300.35 102440[16:Res:102160.1,1202.2] || disjoint(infinity,f16(u,v))* member(u,sigma(v)) member(u,powerset(a)) -> . % 299.97/300.35 102603[16:Res:3651.2,102359.1] || member(a,cross_product(u,universal_set))* member(a,v) disjoint(infinity,restrict(v,u))* -> . % 299.97/300.35 102651[16:SSi:102578.0,159.0,991.0,55026.0] || member(second(a),u) member(first(a),v) disjoint(infinity,cross_product(v,u))* -> . % 299.97/300.35 103209[3:Res:120.1,88258.0] || member(singleton_set(infinity),apply(u,v)) -> member(infinity,sigma(second(f28(singleton_set(infinity),u,v))))*. % 299.97/300.35 103210[3:Res:33.2,88258.0] || member(singleton_set(infinity),u) member(singleton_set(infinity),v) -> member(infinity,sigma(intersection(v,u)))*. % 299.97/300.35 103601[16:Res:55065.2,16184.0] || subset(u,domain_of(intersection(cross_product(v,w),x)))* -> equal(u,a) member(f24(u),v). % 299.97/300.35 103843[16:Res:55065.2,16416.0] || subset(u,domain_of(intersection(v,cross_product(w,x))))* -> equal(u,a) member(f24(u),w). % 299.97/300.35 104088[16:Res:55065.2,17439.0] || subset(u,range_of(intersection(cross_product(v,w),x)))* -> equal(u,a) member(f24(u),w). % 299.97/300.35 104365[16:Res:55065.2,17546.0] || subset(u,range_of(intersection(v,cross_product(w,x))))* -> equal(u,a) member(f24(u),x). % 299.97/300.35 104539[0:SpR:309.0,18826.1] little_set(u) || -> member(u,complement(intersection(complement(v),union(w,x))))* member(u,complement(v)). % 299.97/300.35 104556[0:Res:18826.1,70.0] little_set(u) || subset(union(v,w),x)* -> member(u,complement(v))* member(u,x)*. % 299.97/300.35 104722[0:SSi:104629.0,371.0] || disjoint(union(u,v),w)* -> member(ordered_pair(f19(w),f20(w)),complement(u))* single_valued_set(w). % 299.97/300.35 104723[0:SSi:104628.0,371.0] || disjoint(union(u,v),w)* -> member(ordered_pair(f19(w),f21(w)),complement(u))* single_valued_set(w). % 299.97/300.35 104724[0:SSi:104623.0,371.0] || member(u,converse(complement(union(v,w))))* -> member(ordered_pair(second(u),first(u)),complement(v))*. % 299.97/300.35 104890[0:SpR:310.0,18827.1] little_set(u) || -> member(u,complement(intersection(union(v,w),complement(x))))* member(u,complement(x)). % 299.97/300.35 104900[0:Res:18827.1,70.0] little_set(u) || subset(union(v,w),x)* -> member(u,complement(w))* member(u,x)*. % 299.97/300.35 105068[0:SSi:104973.0,371.0] || disjoint(union(u,v),w)* -> member(ordered_pair(f19(w),f20(w)),complement(v))* single_valued_set(w). % 299.97/300.35 105069[0:SSi:104972.0,371.0] || disjoint(union(u,v),w)* -> member(ordered_pair(f19(w),f21(w)),complement(v))* single_valued_set(w). % 299.97/300.35 105070[0:SSi:104967.0,371.0] || member(u,converse(complement(union(v,w))))* -> member(ordered_pair(second(u),first(u)),complement(w))*. % 299.97/300.35 105269[16:Res:55074.1,26698.0] || -> equal(apply(cross_product(u,v),w),a) member(f24(apply(cross_product(u,v),w)),sigma(v))*. % 299.97/300.35 105318[16:Res:55065.2,26698.0] || subset(u,apply(cross_product(v,w),x))* -> equal(u,a) member(f24(u),sigma(w)). % 299.97/300.35 105436[16:AED:105416.1] || member(u,cross_product(v,w))* -> equal(second(u),a) member(f24(second(u)),sigma(w))*. % 299.97/300.35 1557[0:Res:94.1,282.0] || member(u,image(restrict(v,w),x)) -> member(first(f22(u,restrict(v,w),x)),v)*. % 299.97/300.35 5017[0:Obv:5011.0] little_set(u) || member(v,u)* equal(w,singleton_set(singleton_set(u)))* -> member(v,first(w))*. % 299.97/300.35 5062[0:Obv:5056.0] little_set(u) || member(v,u)* equal(w,singleton_set(singleton_set(u)))* -> member(v,second(w))*. % 299.97/300.35 7942[0:Res:87.1,274.0] || -> single_valued_set(restrict(u,v)) member(ordered_pair(f19(restrict(u,v)),f21(restrict(u,v))),cross_product(v,universal_set))*. % 299.97/300.35 7943[0:Res:86.1,274.0] || -> single_valued_set(restrict(u,v)) member(ordered_pair(f19(restrict(u,v)),f20(restrict(u,v))),cross_product(v,universal_set))*. % 299.97/300.35 8092[0:Rew:36.0,8058.1] || member(f17(union(u,v),w),intersection(complement(u),complement(v)))* -> subset(union(u,v),w). % 299.97/300.35 9085[0:Rew:36.0,9058.1] || member(f23(u,union(v,w)),intersection(complement(v),complement(w)))* -> disjoint(u,union(v,w)). % 299.97/300.35 9154[0:Rew:36.0,9127.1] || member(f23(union(u,v),w),intersection(complement(u),complement(v)))* -> disjoint(union(u,v),w). % 299.97/300.35 9209[0:SpL:108.1,3940.0] || member(u,range_of(v))* member(w,u)* equal(x,f27(u,v))* -> ordered_pair_predicate(x)*. % 299.97/300.35 9303[0:SpL:39.1,4005.0] || member(u,domain_of(v))* member(w,u)* equal(x,f8(u,v))* -> ordered_pair_predicate(x)*. % 299.97/300.35 9426[0:Res:93.1,4549.0] || member(u,image(v,flip_range_of(w)))* equal(x,f22(u,v,flip_range_of(w)))* -> ordered_pair_predicate(x)*. % 299.97/300.35 9707[0:Res:93.1,4578.0] || member(u,image(v,rotate_right(w)))* equal(x,f22(u,v,rotate_right(w)))* -> ordered_pair_predicate(x)*. % 299.97/300.35 10222[0:Res:960.2,98.0] || member(u,infinity) subset(infinity,v)* member(successor(u),w)* disjoint(w,v)* -> . % 299.97/300.35 10223[0:Res:960.2,68.0] || member(u,infinity) subset(infinity,v)* member(v,w)* -> member(successor(u),sigma(w))*. % 299.97/300.35 10233[3:Res:960.2,6176.0] || member(u,infinity) subset(infinity,converse(v))* -> ordered_pair_predicate(ordered_pair(second(successor(u)),first(successor(u))))*. % 299.97/300.35 10957[0:SpL:36.0,1239.1] || member(u,v)* disjoint(v,union(w,x))* -> member(u,intersection(complement(w),complement(x)))*. % 299.97/300.35 11029[2:Res:135.1,10966.0] || member(u,compose(v,w)) -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),universal_set)*. % 299.97/300.35 11032[2:Res:136.1,10966.0] || member(u,compose(v,w)) -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),universal_set)*. % 299.97/300.35 11108[0:Res:4258.0,4238.0] || equal(u,f1(complement(compose(v,w)),universal_set))* -> equal(complement(compose(v,w)),universal_set) ordered_pair_predicate(u)*. % 299.97/300.35 11111[0:Res:395.0,4238.0] || equal(u,f17(v,complement(compose(w,x))))* -> subset(v,complement(compose(w,x))) ordered_pair_predicate(u)*. % 299.97/300.35 11112[0:Res:38.1,4238.0] || member(u,domain_of(compose(v,w)))* equal(x,f8(u,compose(v,w)))* -> ordered_pair_predicate(x)*. % 299.97/300.35 11113[0:Res:66.1,4238.0] || member(u,sigma(compose(v,w)))* equal(x,f16(u,compose(v,w)))* -> ordered_pair_predicate(x)*. % 299.97/300.35 11114[0:Res:107.1,4238.0] || member(u,range_of(compose(v,w)))* equal(x,f27(u,compose(v,w)))* -> ordered_pair_predicate(x)*. % 299.97/300.35 11120[0:Res:960.2,4238.0] || member(u,infinity)* subset(infinity,compose(v,w))* equal(x,successor(u))* -> ordered_pair_predicate(x)*. % 299.97/300.35 11124[0:Res:46.1,4238.0] || member(u,converse(compose(v,w)))* equal(x,ordered_pair(second(u),first(u)))* -> ordered_pair_predicate(x)*. % 299.97/300.35 11220[0:Res:278.1,98.0] || member(f17(intersection(u,v),w),x)* disjoint(x,v) -> subset(intersection(u,v),w). % 299.97/300.35 11221[0:Res:278.1,68.0] || member(u,v) -> subset(intersection(w,u),x) member(f17(intersection(w,u),x),sigma(v))*. % 299.97/300.35 11226[0:Res:278.1,42.0] || -> subset(intersection(u,cross_product(v,w)),x) member(first(f17(intersection(u,cross_product(v,w)),x)),v)*. % 299.97/300.35 11227[0:Res:278.1,43.0] || -> subset(intersection(u,cross_product(v,w)),x) member(second(f17(intersection(u,cross_product(v,w)),x)),w)*. % 299.97/300.35 11228[0:Res:278.1,4549.0] || equal(u,f17(intersection(v,flip_range_of(w)),x))* -> subset(intersection(v,flip_range_of(w)),x) ordered_pair_predicate(u)*. % 299.97/300.35 11229[0:Res:278.1,4578.0] || equal(u,f17(intersection(v,rotate_right(w)),x))* -> subset(intersection(v,rotate_right(w)),x) ordered_pair_predicate(u)*. % 299.97/300.35 11278[0:Res:286.1,98.0] || member(f17(intersection(u,v),w),x)* disjoint(x,u) -> subset(intersection(u,v),w). % 299.97/300.35 11279[0:Res:286.1,68.0] || member(u,v) -> subset(intersection(u,w),x) member(f17(intersection(u,w),x),sigma(v))*. % 299.97/300.35 11284[0:Res:286.1,42.0] || -> subset(intersection(cross_product(u,v),w),x) member(first(f17(intersection(cross_product(u,v),w),x)),u)*. % 299.97/300.35 11285[0:Res:286.1,43.0] || -> subset(intersection(cross_product(u,v),w),x) member(second(f17(intersection(cross_product(u,v),w),x)),v)*. % 299.97/300.35 11286[0:Res:286.1,4549.0] || equal(u,f17(intersection(flip_range_of(v),w),x))* -> subset(intersection(flip_range_of(v),w),x) ordered_pair_predicate(u)*. % 299.97/300.35 11287[0:Res:286.1,4578.0] || equal(u,f17(intersection(rotate_right(v),w),x))* -> subset(intersection(rotate_right(v),w),x) ordered_pair_predicate(u)*. % 299.97/300.35 11328[0:Res:955.2,98.0] || subset(u,v)* member(f17(u,w),x)* disjoint(x,v)* -> subset(u,w). % 299.97/300.35 11329[0:Res:955.2,68.0] || subset(u,v)* member(v,w)* -> subset(u,x) member(f17(u,x),sigma(w))*. % 299.97/300.35 11338[0:Res:955.2,4238.0] || subset(u,compose(v,w))* equal(x,f17(u,y))* -> subset(u,y) ordered_pair_predicate(x)*. % 299.97/300.35 11410[0:Res:961.2,98.0] || subset(u,v)* member(f23(w,u),x)* disjoint(x,v)* -> disjoint(w,u). % 299.97/300.35 11411[0:Res:961.2,68.0] || subset(u,v)* member(v,w)* -> disjoint(x,u) member(f23(x,u),sigma(w))*. % 299.97/300.35 11420[0:Res:961.2,4238.0] || subset(u,compose(v,w))* equal(x,f23(y,u))* -> disjoint(y,u) ordered_pair_predicate(x)*. % 299.97/300.35 11523[0:Res:954.2,98.0] || subset(u,v)* member(f23(u,w),x)* disjoint(x,v)* -> disjoint(u,w). % 299.97/300.35 11524[0:Res:954.2,68.0] || subset(u,v)* member(v,w)* -> disjoint(u,x) member(f23(u,x),sigma(w))*. % 299.97/300.35 11533[0:Res:954.2,4238.0] || subset(u,compose(v,w))* equal(x,f23(u,y))* -> disjoint(u,y) ordered_pair_predicate(x)*. % 299.97/300.35 11610[0:Res:285.1,98.0] || member(f23(intersection(u,v),w),x)* disjoint(x,u) -> disjoint(intersection(u,v),w). % 299.97/300.35 11611[0:Res:285.1,68.0] || member(u,v) -> disjoint(intersection(u,w),x) member(f23(intersection(u,w),x),sigma(v))*. % 299.97/300.35 11616[0:Res:285.1,42.0] || -> disjoint(intersection(cross_product(u,v),w),x) member(first(f23(intersection(cross_product(u,v),w),x)),u)*. % 299.97/300.35 11617[0:Res:285.1,43.0] || -> disjoint(intersection(cross_product(u,v),w),x) member(second(f23(intersection(cross_product(u,v),w),x)),v)*. % 299.97/300.35 11618[0:Res:285.1,4549.0] || equal(u,f23(intersection(flip_range_of(v),w),x))* -> disjoint(intersection(flip_range_of(v),w),x) ordered_pair_predicate(u)*. % 299.97/300.35 11619[0:Res:285.1,4578.0] || equal(u,f23(intersection(rotate_right(v),w),x))* -> disjoint(intersection(rotate_right(v),w),x) ordered_pair_predicate(u)*. % 299.97/300.35 11704[0:Res:289.1,98.0] || member(f23(u,intersection(v,w)),x)* disjoint(x,v) -> disjoint(u,intersection(v,w)). % 299.97/300.35 11705[0:Res:289.1,68.0] || member(u,v) -> disjoint(w,intersection(u,x)) member(f23(w,intersection(u,x)),sigma(v))*. % 299.97/300.35 11710[0:Res:289.1,42.0] || -> disjoint(u,intersection(cross_product(v,w),x)) member(first(f23(u,intersection(cross_product(v,w),x))),v)*. % 299.97/300.35 11711[0:Res:289.1,43.0] || -> disjoint(u,intersection(cross_product(v,w),x)) member(second(f23(u,intersection(cross_product(v,w),x))),w)*. % 299.97/300.35 11712[0:Res:289.1,4549.0] || equal(u,f23(v,intersection(flip_range_of(w),x)))* -> disjoint(v,intersection(flip_range_of(w),x)) ordered_pair_predicate(u)*. % 299.97/300.35 11713[0:Res:289.1,4578.0] || equal(u,f23(v,intersection(rotate_right(w),x)))* -> disjoint(v,intersection(rotate_right(w),x)) ordered_pair_predicate(u)*. % 299.97/300.35 11802[0:Res:277.1,98.0] || member(f23(intersection(u,v),w),x)* disjoint(x,v) -> disjoint(intersection(u,v),w). % 299.97/300.35 11803[0:Res:277.1,68.0] || member(u,v) -> disjoint(intersection(w,u),x) member(f23(intersection(w,u),x),sigma(v))*. % 299.97/300.35 11808[0:Res:277.1,42.0] || -> disjoint(intersection(u,cross_product(v,w)),x) member(first(f23(intersection(u,cross_product(v,w)),x)),v)*. % 299.97/300.35 11809[0:Res:277.1,43.0] || -> disjoint(intersection(u,cross_product(v,w)),x) member(second(f23(intersection(u,cross_product(v,w)),x)),w)*. % 299.97/300.35 11810[0:Res:277.1,4549.0] || equal(u,f23(intersection(v,flip_range_of(w)),x))* -> disjoint(intersection(v,flip_range_of(w)),x) ordered_pair_predicate(u)*. % 299.97/300.35 11811[0:Res:277.1,4578.0] || equal(u,f23(intersection(v,rotate_right(w)),x))* -> disjoint(intersection(v,rotate_right(w)),x) ordered_pair_predicate(u)*. % 299.97/300.35 11963[0:Res:281.1,98.0] || member(f23(u,intersection(v,w)),x)* disjoint(x,w) -> disjoint(u,intersection(v,w)). % 299.97/300.35 11964[0:Res:281.1,68.0] || member(u,v) -> disjoint(w,intersection(x,u)) member(f23(w,intersection(x,u)),sigma(v))*. % 299.97/300.35 11969[0:Res:281.1,42.0] || -> disjoint(u,intersection(v,cross_product(w,x))) member(first(f23(u,intersection(v,cross_product(w,x)))),w)*. % 299.97/300.35 11970[0:Res:281.1,43.0] || -> disjoint(u,intersection(v,cross_product(w,x))) member(second(f23(u,intersection(v,cross_product(w,x)))),x)*. % 299.97/300.35 11971[0:Res:281.1,4549.0] || equal(u,f23(v,intersection(w,flip_range_of(x))))* -> disjoint(v,intersection(w,flip_range_of(x))) ordered_pair_predicate(u)*. % 299.97/300.35 11972[0:Res:281.1,4578.0] || equal(u,f23(v,intersection(w,rotate_right(x))))* -> disjoint(v,intersection(w,rotate_right(x))) ordered_pair_predicate(u)*. % 299.97/300.35 12231[0:Res:1155.2,70.0] || member(u,infinity) member(infinity,v) subset(sigma(v),w)* -> member(successor(u),w)*. % 299.97/300.35 12277[0:Res:26.1,1219.1] || member(successor(u),second(v)) member(u,infinity) disjoint(f7(successor(u),v),infinity)* -> . % 299.97/300.35 12278[0:Res:21.1,1219.1] || member(successor(u),first(v)) member(u,infinity) disjoint(f4(successor(u),v),infinity)* -> . % 299.97/300.35 12279[0:Res:67.1,1219.1] || member(successor(u),sigma(v)) member(u,infinity) disjoint(f16(successor(u),v),infinity)* -> . % 299.97/300.35 12371[0:MRR:12352.0,487.1] || equal(f8(u,complement(non_ordered_pair(v,w))),w) member(u,domain_of(complement(non_ordered_pair(v,w))))* -> . % 299.97/300.35 12372[0:MRR:12351.0,487.1] || equal(f8(u,complement(non_ordered_pair(v,w))),v) member(u,domain_of(complement(non_ordered_pair(v,w))))* -> . % 299.97/300.35 12423[0:MRR:12404.0,449.1] || equal(f16(u,complement(non_ordered_pair(v,w))),w) member(u,sigma(complement(non_ordered_pair(v,w))))* -> . % 299.97/300.35 12424[0:MRR:12403.0,449.1] || equal(f16(u,complement(non_ordered_pair(v,w))),v) member(u,sigma(complement(non_ordered_pair(v,w))))* -> . % 299.97/300.35 12472[0:MRR:12453.0,420.1] || equal(f27(u,complement(non_ordered_pair(v,w))),w) member(u,range_of(complement(non_ordered_pair(v,w))))* -> . % 299.97/300.35 12473[0:MRR:12452.0,420.1] || equal(f27(u,complement(non_ordered_pair(v,w))),v) member(u,range_of(complement(non_ordered_pair(v,w))))* -> . % 299.97/300.35 12520[3:SoR:6199.0,8205.2] little_set(u) || member(v,w) equal(u,first(v))* -> member(first(v),domain_of(w))*. % 299.97/300.35 12551[3:SoR:6200.0,8205.2] little_set(u) || member(v,w) equal(u,second(v))* -> member(second(v),range_of(w))*. % 299.97/300.35 12888[0:Res:956.2,70.0] || subset(u,v)* subset(v,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),w)*. % 299.97/300.35 12895[0:Res:956.2,4549.0] || subset(u,flip_range_of(v))* equal(w,ordered_pair(f19(u),f21(u)))* -> single_valued_set(u) ordered_pair_predicate(w)*. % 299.97/300.35 12897[0:Res:956.2,4578.0] || subset(u,rotate_right(v))* equal(w,ordered_pair(f19(u),f21(u)))* -> single_valued_set(u) ordered_pair_predicate(w)*. % 299.97/300.35 12910[0:Res:956.2,274.0] || subset(u,restrict(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),cross_product(w,universal_set))*. % 299.97/300.35 12912[0:Res:956.2,1354.0] || subset(u,image(v,cross_product(w,x)))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),x)*. % 299.97/300.35 13003[0:Res:957.2,70.0] || subset(u,v)* subset(v,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),w)*. % 299.97/300.35 13010[0:Res:957.2,4549.0] || subset(u,flip_range_of(v))* equal(w,ordered_pair(f19(u),f20(u)))* -> single_valued_set(u) ordered_pair_predicate(w)*. % 299.97/300.35 13012[0:Res:957.2,4578.0] || subset(u,rotate_right(v))* equal(w,ordered_pair(f19(u),f20(u)))* -> single_valued_set(u) ordered_pair_predicate(w)*. % 299.97/300.35 13025[0:Res:957.2,274.0] || subset(u,restrict(v,w))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),cross_product(w,universal_set))*. % 299.97/300.35 13027[0:Res:957.2,1354.0] || subset(u,image(v,cross_product(w,x)))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),x)*. % 299.97/300.35 13180[0:Res:1103.2,70.0] little_set(u) || equal(u,singleton_set(v))* subset(ordered_pair(v,w),x)* -> member(u,x)*. % 299.97/300.35 13250[0:Res:94.1,10964.0] || member(u,image(complement(complement(v)),w)) -> member(first(f22(u,complement(complement(v)),w)),v)*. % 299.97/300.35 13292[0:Res:538.1,70.0] || subset(u,v) -> disjoint(cross_product(w,u),x) member(second(f23(cross_product(w,u),x)),v)*. % 299.97/300.35 13309[0:Res:538.1,10964.0] || -> disjoint(cross_product(u,complement(complement(v))),w) member(second(f23(cross_product(u,complement(complement(v))),w)),v)*. % 299.97/300.35 13312[0:Res:538.1,31.0] || -> disjoint(cross_product(u,intersection(v,w)),x) member(second(f23(cross_product(u,intersection(v,w)),x)),v)*. % 299.97/300.35 13313[0:Res:538.1,32.0] || -> disjoint(cross_product(u,intersection(v,w)),x) member(second(f23(cross_product(u,intersection(v,w)),x)),w)*. % 299.97/300.35 13315[0:Res:538.1,282.0] || -> disjoint(cross_product(u,restrict(v,w)),x) member(second(f23(cross_product(u,restrict(v,w)),x)),v)*. % 299.97/300.35 13335[0:Res:543.1,70.0] || subset(u,v) -> disjoint(w,cross_product(x,u)) member(second(f23(w,cross_product(x,u))),v)*. % 299.97/300.35 13352[0:Res:543.1,10964.0] || -> disjoint(u,cross_product(v,complement(complement(w)))) member(second(f23(u,cross_product(v,complement(complement(w))))),w)*. % 299.97/300.35 13355[0:Res:543.1,31.0] || -> disjoint(u,cross_product(v,intersection(w,x))) member(second(f23(u,cross_product(v,intersection(w,x)))),w)*. % 299.97/300.35 13356[0:Res:543.1,32.0] || -> disjoint(u,cross_product(v,intersection(w,x))) member(second(f23(u,cross_product(v,intersection(w,x)))),x)*. % 299.97/300.35 13358[0:Res:543.1,282.0] || -> disjoint(u,cross_product(v,restrict(w,x))) member(second(f23(u,cross_product(v,restrict(w,x)))),w)*. % 299.97/300.35 13409[0:Res:551.1,70.0] || subset(u,v) -> disjoint(cross_product(u,w),x) member(first(f23(cross_product(u,w),x)),v)*. % 299.97/300.35 13426[0:Res:551.1,10964.0] || -> disjoint(cross_product(complement(complement(u)),v),w) member(first(f23(cross_product(complement(complement(u)),v),w)),u)*. % 299.97/300.35 13429[0:Res:551.1,31.0] || -> disjoint(cross_product(intersection(u,v),w),x) member(first(f23(cross_product(intersection(u,v),w),x)),u)*. % 299.97/300.35 13430[0:Res:551.1,32.0] || -> disjoint(cross_product(intersection(u,v),w),x) member(first(f23(cross_product(intersection(u,v),w),x)),v)*. % 299.97/300.35 13432[0:Res:551.1,282.0] || -> disjoint(cross_product(restrict(u,v),w),x) member(first(f23(cross_product(restrict(u,v),w),x)),u)*. % 299.97/300.35 13487[0:Res:556.1,70.0] || subset(u,v) -> disjoint(w,cross_product(u,x)) member(first(f23(w,cross_product(u,x))),v)*. % 299.97/300.35 13504[0:Res:556.1,10964.0] || -> disjoint(u,cross_product(complement(complement(v)),w)) member(first(f23(u,cross_product(complement(complement(v)),w))),v)*. % 299.97/300.35 13507[0:Res:556.1,31.0] || -> disjoint(u,cross_product(intersection(v,w),x)) member(first(f23(u,cross_product(intersection(v,w),x))),v)*. % 299.97/300.35 13508[0:Res:556.1,32.0] || -> disjoint(u,cross_product(intersection(v,w),x)) member(first(f23(u,cross_product(intersection(v,w),x))),w)*. % 299.97/300.35 13510[0:Res:556.1,282.0] || -> disjoint(u,cross_product(restrict(v,w),x)) member(first(f23(u,cross_product(restrict(v,w),x))),v)*. % 299.97/300.35 13628[0:Res:539.1,70.0] || subset(u,v) -> subset(cross_product(w,u),x) member(second(f17(cross_product(w,u),x)),v)*. % 299.97/300.35 13645[0:Res:539.1,10964.0] || -> subset(cross_product(u,complement(complement(v))),w) member(second(f17(cross_product(u,complement(complement(v))),w)),v)*. % 299.97/300.35 13648[0:Res:539.1,31.0] || -> subset(cross_product(u,intersection(v,w)),x) member(second(f17(cross_product(u,intersection(v,w)),x)),v)*. % 299.97/300.35 13649[0:Res:539.1,32.0] || -> subset(cross_product(u,intersection(v,w)),x) member(second(f17(cross_product(u,intersection(v,w)),x)),w)*. % 299.97/300.35 13651[0:Res:539.1,282.0] || -> subset(cross_product(u,restrict(v,w)),x) member(second(f17(cross_product(u,restrict(v,w)),x)),v)*. % 299.97/300.35 13691[0:Res:552.1,70.0] || subset(u,v) -> subset(cross_product(u,w),x) member(first(f17(cross_product(u,w),x)),v)*. % 299.97/300.35 13708[0:Res:552.1,10964.0] || -> subset(cross_product(complement(complement(u)),v),w) member(first(f17(cross_product(complement(complement(u)),v),w)),u)*. % 299.97/300.35 13711[0:Res:552.1,31.0] || -> subset(cross_product(intersection(u,v),w),x) member(first(f17(cross_product(intersection(u,v),w),x)),u)*. % 299.97/300.35 13712[0:Res:552.1,32.0] || -> subset(cross_product(intersection(u,v),w),x) member(first(f17(cross_product(intersection(u,v),w),x)),v)*. % 299.97/300.35 13714[0:Res:552.1,282.0] || -> subset(cross_product(restrict(u,v),w),x) member(first(f17(cross_product(restrict(u,v),w),x)),u)*. % 299.97/300.35 13770[0:Res:1150.2,70.0] || member(u,v)* subset(sigma(v),w)* -> subset(u,x) member(f17(u,x),w)*. % 299.97/300.35 13936[0:Res:1149.2,70.0] || member(u,v)* subset(sigma(v),w)* -> disjoint(u,x) member(f23(u,x),w)*. % 299.97/300.35 13970[0:Res:1157.2,70.0] || member(u,v)* subset(sigma(v),w)* -> disjoint(x,u) member(f23(x,u),w)*. % 299.97/300.35 14381[0:SSi:14369.0,371.0] || equal(ordered_pair(second(u),first(u)),singleton_set(v))* member(u,converse(complement(ordered_pair(v,w))))* -> . % 299.97/300.35 14426[0:SpR:372.0,10.2] little_set(u) || equal(u,ordered_pair(v,w)) -> member(u,ordered_pair(singleton_set(v),non_ordered_pair(v,w)))*. % 299.97/300.35 14575[0:SSi:14561.0,371.0] || equal(ordered_pair(f19(u),f21(u)),singleton_set(v))* disjoint(ordered_pair(v,w),u)* -> single_valued_set(u). % 299.97/300.35 14640[0:SSi:14626.0,371.0] || equal(ordered_pair(f19(u),f20(u)),singleton_set(v))* disjoint(ordered_pair(v,w),u)* -> single_valued_set(u). % 299.97/300.35 15206[0:Res:965.2,43.0] || member(u,domain_of(v)) subset(v,cross_product(w,x))* -> member(second(f8(u,v)),x)*. % 299.97/300.35 15221[0:Res:965.2,560.0] || member(u,domain_of(v)) subset(v,domain_of(cross_product(w,x)))* -> member(f8(u,v),w)*. % 299.97/300.35 15222[0:Res:965.2,547.0] || member(u,domain_of(v)) subset(v,range_of(cross_product(w,x)))* -> member(f8(u,v),x)*. % 299.97/300.35 15256[0:Res:964.2,42.0] || member(u,sigma(v)) subset(v,cross_product(w,x))* -> member(first(f16(u,v)),w)*. % 299.97/300.35 15257[0:Res:964.2,43.0] || member(u,sigma(v)) subset(v,cross_product(w,x))* -> member(second(f16(u,v)),x)*. % 299.97/300.35 15272[0:Res:964.2,560.0] || member(u,sigma(v)) subset(v,domain_of(cross_product(w,x)))* -> member(f16(u,v),w)*. % 299.97/300.35 15273[0:Res:964.2,547.0] || member(u,sigma(v)) subset(v,range_of(cross_product(w,x)))* -> member(f16(u,v),x)*. % 299.97/300.35 15481[0:Res:963.2,42.0] || member(u,range_of(v)) subset(v,cross_product(w,x))* -> member(first(f27(u,v)),w)*. % 299.97/300.35 15497[0:Res:963.2,560.0] || member(u,range_of(v)) subset(v,domain_of(cross_product(w,x)))* -> member(f27(u,v),w)*. % 299.97/300.35 15498[0:Res:963.2,547.0] || member(u,range_of(v)) subset(v,range_of(cross_product(w,x)))* -> member(f27(u,v),x)*. % 299.97/300.35 16013[0:SpR:16.1,1080.2] ordered_pair_predicate(u) little_set(v) || equal(v,non_ordered_pair(f2(u),f3(u)))* -> member(v,u)*. % 299.97/300.35 16063[0:MRR:16046.0,197.1] || equal(successor(u),non_ordered_pair(v,w))* member(u,infinity)* disjoint(ordered_pair(v,w),infinity)* -> . % 299.97/300.35 16064[0:MRR:16050.0,213.1] || equal(f17(u,v),non_ordered_pair(w,x))* disjoint(ordered_pair(w,x),u)* -> subset(u,v). % 299.97/300.35 16065[0:MRR:16049.0,203.1] || equal(f23(u,v),non_ordered_pair(w,x))* disjoint(ordered_pair(w,x),v)* -> disjoint(u,v). % 299.97/300.35 16066[0:MRR:16048.0,203.1] || equal(f23(u,v),non_ordered_pair(w,x))* disjoint(ordered_pair(w,x),u)* -> disjoint(u,v). % 299.97/300.35 16071[0:MRR:16039.0,203.1] || equal(f23(u,complement(ordered_pair(v,w))),non_ordered_pair(v,w))** -> disjoint(u,complement(ordered_pair(v,w))). % 299.97/300.35 16072[0:MRR:16036.0,203.1] || equal(f23(complement(ordered_pair(u,v)),w),non_ordered_pair(u,v))** -> disjoint(complement(ordered_pair(u,v)),w). % 299.97/300.35 16073[0:MRR:16035.0,213.1] || equal(f17(complement(ordered_pair(u,v)),w),non_ordered_pair(u,v))** -> subset(complement(ordered_pair(u,v)),w). % 299.97/300.35 16166[0:Res:493.1,34.1] || member(u,domain_of(intersection(complement(v),w))) member(f8(u,intersection(complement(v),w)),v)* -> . % 299.97/300.35 16396[0:Res:494.1,34.1] || member(u,domain_of(intersection(v,complement(w)))) member(f8(u,intersection(v,complement(w))),w)* -> . % 299.97/300.35 17039[0:Res:94.1,15955.0] || member(u,image(sigma(powerset(v)),w)) -> member(first(f22(u,sigma(powerset(v)),w)),v)*. % 299.97/300.35 17055[0:Res:538.1,15955.0] || -> disjoint(cross_product(u,sigma(powerset(v))),w) member(second(f23(cross_product(u,sigma(powerset(v))),w)),v)*. % 299.97/300.35 17056[0:Res:539.1,15955.0] || -> subset(cross_product(u,sigma(powerset(v))),w) member(second(f17(cross_product(u,sigma(powerset(v))),w)),v)*. % 299.97/300.35 17061[0:Res:543.1,15955.0] || -> disjoint(u,cross_product(v,sigma(powerset(w)))) member(second(f23(u,cross_product(v,sigma(powerset(w))))),w)*. % 299.97/300.35 17078[0:Res:551.1,15955.0] || -> disjoint(cross_product(sigma(powerset(u)),v),w) member(first(f23(cross_product(sigma(powerset(u)),v),w)),u)*. % 299.97/300.35 17079[0:Res:552.1,15955.0] || -> subset(cross_product(sigma(powerset(u)),v),w) member(first(f17(cross_product(sigma(powerset(u)),v),w)),u)*. % 299.97/300.35 17080[0:Res:556.1,15955.0] || -> disjoint(u,cross_product(sigma(powerset(v)),w)) member(first(f23(u,cross_product(sigma(powerset(v)),w))),v)*. % 299.97/300.35 17120[0:Res:455.1,34.1] || member(u,sigma(intersection(complement(v),w))) member(f16(u,intersection(complement(v),w)),v)* -> . % 299.97/300.35 17221[0:Res:456.1,34.1] || member(u,sigma(intersection(v,complement(w)))) member(f16(u,intersection(v,complement(w))),w)* -> . % 299.97/300.35 17414[0:Res:426.1,34.1] || member(u,range_of(intersection(complement(v),w))) member(f27(u,intersection(complement(v),w)),v)* -> . % 299.97/300.35 17521[0:Res:427.1,34.1] || member(u,range_of(intersection(v,complement(w)))) member(f27(u,intersection(v,complement(w))),w)* -> . % 299.97/300.35 18166[6:Res:4115.1,10857.1] ordered_pair_predicate(u) || equal(successor(ordered_pair(second(u),first(u))),universal_set)** -> member(u,converse(complement(infinity))). % 299.97/300.35 18169[0:Res:4115.1,34.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(u,converse(complement(complement(v)))). % 299.97/300.35 18170[0:Res:4115.1,10964.0] ordered_pair_predicate(u) || -> member(u,converse(complement(complement(complement(v))))) member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.35 18176[0:Res:4115.1,31.0] ordered_pair_predicate(u) || -> member(u,converse(complement(intersection(v,w))))* member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.35 18177[0:Res:4115.1,32.0] ordered_pair_predicate(u) || -> member(u,converse(complement(intersection(v,w))))* member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.35 18180[0:Res:4115.1,15955.0] ordered_pair_predicate(u) || -> member(u,converse(complement(sigma(powerset(v))))) member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.35 18182[0:Res:4115.1,282.0] ordered_pair_predicate(u) || -> member(u,converse(complement(restrict(v,w))))* member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.35 18273[6:Res:279.1,10857.1] || equal(successor(ordered_pair(f19(intersection(u,infinity)),f21(intersection(u,infinity)))),universal_set)** -> single_valued_set(intersection(u,infinity)). % 299.97/300.35 18410[6:Res:280.1,10857.1] || equal(successor(ordered_pair(f19(intersection(u,infinity)),f20(intersection(u,infinity)))),universal_set)** -> single_valued_set(intersection(u,infinity)). % 299.97/300.35 18492[6:Res:287.1,10857.1] || equal(successor(ordered_pair(f19(intersection(infinity,u)),f21(intersection(infinity,u)))),universal_set)** -> single_valued_set(intersection(infinity,u)). % 299.97/300.35 18634[6:Res:288.1,10857.1] || equal(successor(ordered_pair(f19(intersection(infinity,u)),f20(intersection(infinity,u)))),universal_set)** -> single_valued_set(intersection(infinity,u)). % 299.97/300.35 18870[0:MRR:18821.0,4.1] || member(u,v)* disjoint(v,intersection(complement(w),complement(x)))* -> member(u,union(w,x))*. % 299.97/300.35 19003[0:MRR:18980.0,24.1] || equal(f7(u,v),w)* member(u,second(v))* -> member(u,sigma(non_ordered_pair(x,w)))*. % 299.97/300.35 19004[0:MRR:18979.0,24.1] || equal(f7(u,v),w)* member(u,second(v))* -> member(u,sigma(non_ordered_pair(w,x)))*. % 299.97/300.35 19132[0:MRR:19109.0,18.1] || equal(f4(u,v),w)* member(u,first(v))* -> member(u,sigma(non_ordered_pair(x,w)))*. % 299.97/300.35 19133[0:MRR:19108.0,18.1] || equal(f4(u,v),w)* member(u,first(v))* -> member(u,sigma(non_ordered_pair(w,x)))*. % 299.97/300.35 19267[0:MRR:19237.0,449.1] || equal(f16(u,v),w)* member(u,sigma(v))* -> member(u,sigma(non_ordered_pair(x,w)))*. % 299.97/300.35 19268[0:MRR:19236.0,449.1] || equal(f16(u,v),w)* member(u,sigma(v))* -> member(u,sigma(non_ordered_pair(w,x)))*. % 299.97/300.35 19413[0:Res:13975.1,1204.2] || member(f4(u,v),w)* member(u,first(v)) member(u,complement(sigma(w))) -> . % 299.97/300.35 19416[0:Res:17151.1,1204.2] || disjoint(u,f4(v,w))* member(v,first(w)) member(v,restrict(u,x))* -> . % 299.97/300.35 19417[0:Res:14040.1,1204.2] || disjoint(u,f4(v,w))* member(v,first(w)) member(v,intersection(u,x))* -> . % 299.97/300.35 19418[0:Res:14043.1,1204.2] || disjoint(u,f4(v,w))* member(v,first(w)) member(v,intersection(x,u))* -> . % 299.97/300.35 19469[0:Res:13975.1,1203.2] || member(f7(u,v),w)* member(u,second(v)) member(u,complement(sigma(w))) -> . % 299.97/300.35 19472[0:Res:17151.1,1203.2] || disjoint(u,f7(v,w))* member(v,second(w)) member(v,restrict(u,x))* -> . % 299.97/300.35 19473[0:Res:14040.1,1203.2] || disjoint(u,f7(v,w))* member(v,second(w)) member(v,intersection(u,x))* -> . % 299.97/300.35 19474[0:Res:14043.1,1203.2] || disjoint(u,f7(v,w))* member(v,second(w)) member(v,intersection(x,u))* -> . % 299.97/300.35 19521[0:Res:13975.1,1202.2] || member(f16(u,v),w)* member(u,sigma(v)) member(u,complement(sigma(w))) -> . % 299.97/300.35 19524[0:Res:17151.1,1202.2] || disjoint(u,f16(v,w))* member(v,sigma(w)) member(v,restrict(u,x))* -> . % 299.97/300.35 19525[0:Res:14040.1,1202.2] || disjoint(u,f16(v,w))* member(v,sigma(w)) member(v,intersection(u,x))* -> . % 299.97/300.35 19526[0:Res:14043.1,1202.2] || disjoint(u,f16(v,w))* member(v,sigma(w)) member(v,intersection(x,u))* -> . % 299.97/300.35 19577[6:Res:546.1,10857.1] || member(u,domain_of(cross_product(v,infinity))) equal(successor(second(f8(u,cross_product(v,infinity)))),universal_set)** -> . % 299.97/300.35 19578[0:Res:546.1,76.0] || member(u,domain_of(cross_product(v,powerset(w)))) -> subset(second(f8(u,cross_product(v,powerset(w)))),w)*. % 299.97/300.35 19579[0:Res:546.1,1444.0] || member(u,domain_of(cross_product(v,singleton_set(w)))) -> equal(second(f8(u,cross_product(v,singleton_set(w)))),w)**. % 299.97/300.35 19763[0:MRR:19723.0,487.1] || equal(f8(u,v),w)* member(u,domain_of(v))* disjoint(non_ordered_pair(x,w),v)* -> . % 299.97/300.35 19764[0:MRR:19722.0,487.1] || equal(f8(u,v),w)* member(u,domain_of(v))* disjoint(non_ordered_pair(w,x),v)* -> . % 299.97/300.35 20020[0:MRR:19982.0,420.1] || equal(f27(u,v),w)* member(u,range_of(v))* disjoint(non_ordered_pair(x,w),v)* -> . % 299.97/300.35 20021[0:MRR:19981.0,420.1] || equal(f27(u,v),w)* member(u,range_of(v))* disjoint(non_ordered_pair(w,x),v)* -> . % 299.97/300.35 20281[0:MRR:20243.0,449.1] || equal(f16(u,v),w)* member(u,sigma(v))* disjoint(non_ordered_pair(x,w),v)* -> . % 299.97/300.35 20282[0:MRR:20242.0,449.1] || equal(f16(u,v),w)* member(u,sigma(v))* disjoint(non_ordered_pair(w,x),v)* -> . % 299.97/300.35 20506[0:Res:1080.2,20288.0] little_set(set_b) || equal(non_ordered_pair(u,v),set_b) disjoint(ordered_pair(u,v),ordered_pair(u,v))* -> . % 299.97/300.35 20527[0:Res:1080.2,20289.0] little_set(set_a) || equal(non_ordered_pair(u,v),set_a) disjoint(ordered_pair(u,v),ordered_pair(u,v))* -> . % 299.97/300.35 20612[3:SSi:20597.0,63.0,15957.0] || disjoint(intersection(complement(u),complement(v)),intersection(complement(u),complement(v)))* -> member(infinity,union(u,v)). % 299.97/300.35 20662[6:Res:545.1,10857.1] || member(u,sigma(cross_product(v,infinity))) equal(successor(second(f16(u,cross_product(v,infinity)))),universal_set)** -> . % 299.97/300.35 20663[0:Res:545.1,76.0] || member(u,sigma(cross_product(v,powerset(w)))) -> subset(second(f16(u,cross_product(v,powerset(w)))),w)*. % 299.97/300.35 20664[0:Res:545.1,1444.0] || member(u,sigma(cross_product(v,singleton_set(w)))) -> equal(second(f16(u,cross_product(v,singleton_set(w)))),w)**. % 299.97/300.35 20709[3:SpL:36.0,20704.0] || subset(union(u,v),intersection(complement(u),complement(v)))* -> member(infinity,intersection(complement(u),complement(v))). % 299.97/300.35 20770[6:Res:558.1,10857.1] || member(u,sigma(cross_product(infinity,v))) equal(successor(first(f16(u,cross_product(infinity,v)))),universal_set)** -> . % 299.97/300.35 20771[0:Res:558.1,76.0] || member(u,sigma(cross_product(powerset(v),w))) -> subset(first(f16(u,cross_product(powerset(v),w))),v)*. % 299.97/300.35 20772[0:Res:558.1,1444.0] || member(u,sigma(cross_product(singleton_set(v),w))) -> equal(first(f16(u,cross_product(singleton_set(v),w))),v)**. % 299.97/300.35 20905[6:Res:557.1,10857.1] || member(u,range_of(cross_product(infinity,v))) equal(successor(first(f27(u,cross_product(infinity,v)))),universal_set)** -> . % 299.97/300.35 20906[0:Res:557.1,76.0] || member(u,range_of(cross_product(powerset(v),w))) -> subset(first(f27(u,cross_product(powerset(v),w))),v)*. % 299.97/300.35 20907[0:Res:557.1,1444.0] || member(u,range_of(cross_product(singleton_set(v),w))) -> equal(first(f27(u,cross_product(singleton_set(v),w))),v)**. % 299.97/300.35 21008[0:MRR:20991.0,1340.1] || equal(f22(u,v,complement(singleton_set(w))),w) member(u,image(v,complement(singleton_set(w))))* -> . % 299.97/300.35 21009[0:MRR:20990.0,1340.1] || subset(f22(u,v,complement(powerset(w))),w)* member(u,image(v,complement(powerset(w)))) -> . % 299.97/300.35 21072[0:MRR:21055.0,1275.1] || equal(f28(u,complement(singleton_set(v)),w),v) member(u,apply(complement(singleton_set(v)),w))* -> . % 299.97/300.35 21073[0:MRR:21054.0,1275.1] || subset(f28(u,complement(powerset(v)),w),v)* member(u,apply(complement(powerset(v)),w)) -> . % 299.97/300.35 21406[0:Res:13775.1,4116.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(u,converse(powerset(sigma(v)))). % 299.97/300.35 21409[0:Res:13861.1,4116.1] ordered_pair_predicate(u) || disjoint(v,ordered_pair(second(u),first(u)))* -> member(u,converse(powerset(complement(v)))). % 299.97/300.35 22303[0:Res:5009.3,1238.0] little_set(u) little_set(v) || member(w,v)* disjoint(first(ordered_pair(v,u)),universal_set)* -> . % 299.97/300.35 22307[0:Res:5009.3,1197.0] little_set(u) little_set(v) || member(a,v) disjoint(first(ordered_pair(v,u)),set_a)* -> . % 299.97/300.35 22312[0:Res:5009.3,7326.0] little_set(u) little_set(v) || member(universal_set,v) -> equal(sigma(first(ordered_pair(v,u))),universal_set)**. % 299.97/300.35 22314[2:Res:5009.3,15679.1] little_set(u) little_set(v) || member(set_b,v) disjoint(universal_set,first(ordered_pair(v,u)))* -> . % 299.97/300.35 22316[2:Res:5009.3,15721.1] little_set(u) little_set(v) || member(set_a,v) disjoint(universal_set,first(ordered_pair(v,u)))* -> . % 299.97/300.35 22318[2:Res:5009.3,15819.1] little_set(u) little_set(v) || member(infinity,v) disjoint(universal_set,first(ordered_pair(v,u)))* -> . % 299.97/300.35 22373[0:MRR:22292.0,22292.1,132.1,131.1] || member(u,compose(v,w)) member(x,f29(u,v,w))* -> member(x,first(u)). % 299.97/300.35 22547[0:Res:5054.3,1238.0] little_set(u) little_set(v) || member(w,u)* disjoint(second(ordered_pair(v,u)),universal_set)* -> . % 299.97/300.35 22551[0:Res:5054.3,1197.0] little_set(u) little_set(v) || member(a,u) disjoint(second(ordered_pair(v,u)),set_a)* -> . % 299.97/300.35 22556[0:Res:5054.3,7326.0] little_set(u) little_set(v) || member(universal_set,u) -> equal(sigma(second(ordered_pair(v,u))),universal_set)**. % 299.97/300.35 22558[2:Res:5054.3,15679.1] little_set(u) little_set(v) || member(set_b,u) disjoint(universal_set,second(ordered_pair(v,u)))* -> . % 299.97/300.35 22560[2:Res:5054.3,15721.1] little_set(u) little_set(v) || member(set_a,u) disjoint(universal_set,second(ordered_pair(v,u)))* -> . % 299.97/300.35 22562[2:Res:5054.3,15819.1] little_set(u) little_set(v) || member(infinity,u) disjoint(universal_set,second(ordered_pair(v,u)))* -> . % 299.97/300.35 22615[0:MRR:22536.0,22536.1,132.1,131.1] || member(u,compose(v,w)) member(x,f30(u,v,w))* -> member(x,second(u)). % 299.97/300.35 22747[0:Res:13861.1,1104.2] little_set(u) || disjoint(v,non_ordered_pair(w,x))* equal(u,w)* -> member(u,complement(v))*. % 299.97/300.35 22770[0:Res:13861.1,1081.2] little_set(u) || disjoint(v,non_ordered_pair(w,x))* equal(u,x)* -> member(u,complement(v))*. % 299.97/300.35 23002[0:Res:1339.2,76.0] || member(u,image(v,w)) subset(w,powerset(x)) -> subset(f22(u,v,w),x)*. % 299.97/300.35 23003[0:Res:1339.2,1444.0] || member(u,image(v,w))* subset(w,singleton_set(x))* -> equal(f22(u,v,w),x)*. % 299.97/300.35 23094[0:Res:1274.2,76.0] || member(u,apply(v,w)) subset(v,powerset(x)) -> subset(f28(u,v,w),x)*. % 299.97/300.35 23095[0:Res:1274.2,1444.0] || member(u,apply(v,w))* subset(v,singleton_set(x))* -> equal(f28(u,v,w),x)*. % 299.97/300.35 23540[2:SpR:23510.1,310.0] || subset(universal_set,intersection(complement(u),complement(v))) -> equal(complement(intersection(union(u,v),complement(w))),universal_set)**. % 299.97/300.35 23585[2:SpR:23571.1,309.0] || subset(universal_set,intersection(complement(u),complement(v))) -> equal(complement(intersection(complement(w),union(u,v))),universal_set)**. % 299.97/300.35 23970[0:SSi:23951.0,371.0] || member(u,converse(v))* disjoint(complement(w),v)* -> member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.35 24946[0:SSi:24932.0,11.0] little_set(u) || equal(u,v)* -> member(non_ordered_pair(w,v),x)* member(u,sigma(complement(x)))*. % 299.97/300.35 25001[0:SSi:24988.0,11.0] little_set(u) || equal(u,v)* -> member(non_ordered_pair(v,w),x)* member(u,sigma(complement(x)))*. % 299.97/300.35 25248[0:Obv:25242.0] || -> member(f1(u,complement(v)),complement(v))* member(f1(u,complement(v)),v) equal(u,complement(v)). % 299.97/300.35 25341[2:Res:13860.1,1563.1] || disjoint(universal_set,second(f28(u,v,w)))* member(u,apply(v,w)) -> member(u,x)*. % 299.97/300.35 25409[2:Res:1544.2,20934.0] || member(u,image(v,w)) subset(v,range_of(cross_product(first(f22(u,v,w)),x)))* -> . % 299.97/300.35 25505[0:MRR:25479.0,1275.1] || member(u,apply(v,w)) disjoint(complement(x),v) -> member(f28(u,v,w),x)*. % 299.97/300.35 25639[0:MRR:25613.0,1340.1] || member(u,image(v,w)) disjoint(complement(x),w) -> member(f22(u,v,w),x)*. % 299.97/300.35 25699[0:Res:1338.2,15955.0] || member(u,image(v,w)) member(w,powerset(x)) -> member(f22(u,v,w),x)*. % 299.97/300.35 25739[0:Res:1273.2,15955.0] || member(u,apply(v,w)) member(v,powerset(x)) -> member(f28(u,v,w),x)*. % 299.97/300.35 25840[2:Res:1339.2,25810.0] || member(u,image(v,w)) subset(w,image(x,cross_product(f22(u,v,w),y)))* -> . % 299.97/300.35 25841[2:Res:1274.2,25810.0] || member(u,apply(v,w)) subset(v,image(x,cross_product(f28(u,v,w),y)))* -> . % 299.97/300.35 25977[2:Res:1339.2,25946.0] || member(u,image(v,w)) subset(w,image(intersection(f22(u,v,w),x),y))* -> . % 299.97/300.35 25978[2:Res:1274.2,25946.0] || member(u,apply(v,w)) subset(v,image(intersection(f28(u,v,w),x),y))* -> . % 299.97/300.35 26009[2:Res:1339.2,25950.0] || member(u,image(v,w)) subset(w,image(restrict(f22(u,v,w),x),y))* -> . % 299.97/300.35 26010[2:Res:1274.2,25950.0] || member(u,apply(v,w)) subset(v,image(restrict(f28(u,v,w),x),y))* -> . % 299.97/300.35 26117[2:Res:1280.1,10966.0] || member(u,apply(cross_product(v,w),x)) -> member(second(f28(u,cross_product(v,w),x)),universal_set)*. % 299.97/300.35 26207[2:Res:1339.2,26103.0] || member(u,image(v,w)) subset(w,image(intersection(x,f22(u,v,w)),y))* -> . % 299.97/300.35 26208[2:Res:1274.2,26103.0] || member(u,apply(v,w)) subset(v,image(intersection(x,f28(u,v,w)),y))* -> . % 299.97/300.35 26222[2:Res:13860.1,3654.2] || disjoint(universal_set,intersection(u,v))* member(w,v)* member(w,u)* -> member(w,x)*. % 299.97/300.35 26413[7:Res:26333.1,1015.0] || subset(universal_set,converse(cross_product(u,v)))* -> member(second(ordered_pair(second(sigma(infinity)),first(sigma(infinity)))),v)*. % 299.97/300.35 26414[7:Res:26333.1,1014.0] || subset(universal_set,converse(cross_product(u,v)))* -> member(first(ordered_pair(second(sigma(infinity)),first(sigma(infinity)))),u)*. % 299.97/300.35 26443[7:Res:26333.1,1421.0] || subset(universal_set,ordered_pair(u,v))* -> equal(non_ordered_pair(u,v),sigma(infinity)) equal(sigma(infinity),singleton_set(u)). % 299.97/300.35 26448[7:Res:26333.1,5018.1] ordered_pair_predicate(u) || subset(universal_set,f2(u))* equal(v,u)* -> member(sigma(infinity),first(v))*. % 299.97/300.35 26449[7:Res:26333.1,5063.1] ordered_pair_predicate(u) || subset(universal_set,f3(u))* equal(v,u)* -> member(sigma(infinity),second(v))*. % 299.97/300.35 26979[7:Res:26830.1,1021.0] || disjoint(universal_set,complement(converse(intersection(u,v))))* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)*. % 299.97/300.35 26980[7:Res:26830.1,1020.0] || disjoint(universal_set,complement(converse(intersection(u,v))))* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u)*. % 299.97/300.35 27015[7:Res:26830.1,1467.1] || disjoint(universal_set,complement(second(f28(u,v,sigma(infinity)))))* member(u,apply(v,sigma(infinity))) -> . % 299.97/300.35 27039[3:Res:1549.1,6160.0] || member(u,image(cross_product(v,w),x)) -> ordered_pair_predicate(first(first(f22(u,cross_product(v,w),x))))*. % 299.97/300.35 27044[0:Res:1549.1,4.0] || member(u,image(cross_product(v,w),x)) -> little_set(first(first(f22(u,cross_product(v,w),x))))*. % 299.97/300.35 27124[7:Res:26831.1,1021.0] || disjoint(complement(converse(intersection(u,v))),universal_set)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)*. % 299.97/300.35 27125[7:Res:26831.1,1020.0] || disjoint(complement(converse(intersection(u,v))),universal_set)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u)*. % 299.97/300.35 27160[7:Res:26831.1,1467.1] || disjoint(complement(second(f28(u,v,sigma(infinity)))),universal_set)* member(u,apply(v,sigma(infinity))) -> . % 299.97/300.35 27184[3:Res:1550.1,6160.0] || member(u,image(cross_product(v,w),x)) -> ordered_pair_predicate(second(first(f22(u,cross_product(v,w),x))))*. % 299.97/300.35 27189[0:Res:1550.1,4.0] || member(u,image(cross_product(v,w),x)) -> little_set(second(first(f22(u,cross_product(v,w),x))))*. % 299.97/300.35 30998[6:Obv:30985.1] || equal(successor(u),universal_set) -> equal(f23(non_ordered_pair(u,v),infinity),v)** disjoint(non_ordered_pair(u,v),infinity). % 299.97/300.35 30999[6:Obv:30980.1] || equal(successor(u),universal_set) -> equal(f23(non_ordered_pair(v,u),infinity),v)** disjoint(non_ordered_pair(v,u),infinity). % 299.97/300.35 31000[0:Obv:30960.0] || -> equal(f23(non_ordered_pair(u,v),w),v)** disjoint(non_ordered_pair(u,v),w) member(u,non_ordered_pair(u,v))*. % 299.97/300.35 31001[0:Obv:30940.0] || -> equal(f23(non_ordered_pair(u,v),w),u)** disjoint(non_ordered_pair(u,v),w) member(v,non_ordered_pair(u,v))*. % 299.97/300.35 31004[0:Obv:30964.0] || -> equal(f23(non_ordered_pair(u,v),powerset(w)),v)** disjoint(non_ordered_pair(u,v),powerset(w)) subset(u,w). % 299.97/300.35 31007[0:Obv:30944.0] || -> equal(f23(non_ordered_pair(u,v),powerset(w)),u)** disjoint(non_ordered_pair(u,v),powerset(w)) subset(v,w). % 299.97/300.35 31135[6:Obv:31122.1] || equal(successor(u),universal_set) -> equal(f23(infinity,non_ordered_pair(u,v)),v)** disjoint(infinity,non_ordered_pair(u,v)). % 299.97/300.35 31136[6:Obv:31117.1] || equal(successor(u),universal_set) -> equal(f23(infinity,non_ordered_pair(v,u)),v)** disjoint(infinity,non_ordered_pair(v,u)). % 299.97/300.35 31137[0:Obv:31096.0] || -> equal(f23(u,non_ordered_pair(v,w)),w)** disjoint(u,non_ordered_pair(v,w)) member(v,non_ordered_pair(v,w))*. % 299.97/300.35 31138[0:Obv:31074.0] || -> equal(f23(u,non_ordered_pair(v,w)),v)** disjoint(u,non_ordered_pair(v,w)) member(w,non_ordered_pair(v,w))*. % 299.97/300.35 31141[0:Obv:31099.0] || -> equal(f23(powerset(u),non_ordered_pair(v,w)),w)** disjoint(powerset(u),non_ordered_pair(v,w)) subset(v,u). % 299.97/300.35 31144[0:Obv:31077.0] || -> equal(f23(powerset(u),non_ordered_pair(v,w)),v)** disjoint(powerset(u),non_ordered_pair(v,w)) subset(w,u). % 299.97/300.35 31267[0:Obv:31235.0] || -> equal(f17(non_ordered_pair(u,v),w),v)** subset(non_ordered_pair(u,v),w) member(u,non_ordered_pair(u,v))*. % 299.97/300.35 31268[0:Obv:31223.0] || -> equal(f17(non_ordered_pair(u,v),w),u)** subset(non_ordered_pair(u,v),w) member(v,non_ordered_pair(u,v))*. % 299.97/300.35 31269[0:Obv:31238.0] || -> equal(f17(non_ordered_pair(u,v),complement(w)),v)** member(u,w) subset(non_ordered_pair(u,v),complement(w)). % 299.97/300.35 31270[0:Obv:31226.0] || -> equal(f17(non_ordered_pair(u,v),complement(w)),u)** member(v,w) subset(non_ordered_pair(u,v),complement(w)). % 299.97/300.35 32568[3:Res:9144.0,6198.3] || member(second(u),v) member(first(u),w) member(u,complement(cross_product(w,v)))* -> . % 299.97/300.35 32737[0:Res:3836.1,1238.0] || disjoint(u,universal_set) -> equal(cross_product(v,w),u) member(second(f1(cross_product(v,w),u)),w)*. % 299.97/300.35 32902[0:Res:3835.1,1238.0] || disjoint(u,universal_set) -> equal(cross_product(v,w),u) member(first(f1(cross_product(v,w),u)),v)*. % 299.97/300.35 33073[0:Res:3818.1,1238.0] || disjoint(u,universal_set) -> equal(u,cross_product(v,w)) member(second(f1(u,cross_product(v,w))),w)*. % 299.97/300.35 33239[0:Res:3817.1,1238.0] || disjoint(u,universal_set) -> equal(u,cross_product(v,w)) member(first(f1(u,cross_product(v,w))),v)*. % 299.97/300.35 33398[7:Res:33376.1,1021.0] || member(universal_set,powerset(converse(intersection(u,v))))* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)*. % 299.97/300.35 33399[7:Res:33376.1,1020.0] || member(universal_set,powerset(converse(intersection(u,v))))* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u)*. % 299.97/300.35 33433[7:Res:33376.1,1467.1] || member(universal_set,powerset(second(f28(u,v,sigma(infinity)))))* member(u,apply(v,sigma(infinity))) -> . % 299.97/300.35 34771[0:Obv:34762.2] || subset(u,v) member(f17(u,intersection(w,v)),w)* -> subset(u,intersection(w,v)). % 299.97/300.35 34772[0:Obv:34763.1] || member(f17(intersection(u,v),intersection(w,v)),w)* -> subset(intersection(u,v),intersection(w,v)). % 299.97/300.35 34773[0:Obv:34761.1] || member(f17(intersection(u,v),intersection(w,u)),w)* -> subset(intersection(u,v),intersection(w,u)). % 299.97/300.35 38393[0:Obv:38385.0] || member(u,apply(intersection(v,w),x))* equal(x,y)* -> member(u,apply(w,y))*. % 299.97/300.35 38394[0:Obv:38384.0] || member(u,apply(intersection(v,w),x))* equal(x,y)* -> member(u,apply(v,y))*. % 299.97/300.35 39061[3:Res:35.2,20705.0] little_set(complement(sigma(complement(u)))) || -> member(complement(sigma(complement(u))),u)* member(infinity,sigma(complement(u))). % 299.97/300.35 40636[2:Res:25246.0,4238.0] || equal(u,f1(universal_set,complement(compose(v,w))))* -> equal(complement(compose(v,w)),universal_set) ordered_pair_predicate(u)*. % 299.97/300.35 42202[0:Obv:42195.1] little_set(u) || member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(w))*. % 299.97/300.35 42203[0:MRR:42176.0,1275.1] little_set(u) || member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(universal_set))*. % 299.97/300.35 42278[0:Obv:42271.1] little_set(u) || member(v,image(w,x))* equal(u,v)* -> member(u,range_of(x))*. % 299.97/300.35 42279[0:MRR:42252.0,1340.1] little_set(u) || member(v,image(w,x))* equal(u,v)* -> member(u,range_of(universal_set))*. % 299.97/300.35 43286[2:Obv:43285.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(u,converse(intersection(v,universal_set))). % 299.97/300.35 43681[14:Rew:122.0,43652.1] || subset(universal_set,second(f28(u,v,ordered_pair(universal_set,w))))* member(u,apply_to_two_arguments(v,universal_set,w)) -> . % 299.97/300.35 43924[0:SpR:1432.1,371.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u)** little_set(v). % 299.97/300.35 43948[0:SpR:1432.2,371.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)** little_set(u). % 299.97/300.35 43996[3:Obv:43960.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)** single_valued_set(non_ordered_pair(u,v)) ordered_pair_predicate(u). % 299.97/300.35 43997[3:Obv:43936.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u)** single_valued_set(non_ordered_pair(u,v)) ordered_pair_predicate(v). % 299.97/300.35 44068[0:SpR:1433.1,371.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u)** little_set(v). % 299.97/300.35 44092[0:SpR:1433.2,371.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)** little_set(u). % 299.97/300.35 44140[3:Obv:44104.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)** single_valued_set(non_ordered_pair(u,v)) ordered_pair_predicate(u). % 299.97/300.35 44141[3:Obv:44080.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u)** single_valued_set(non_ordered_pair(u,v)) ordered_pair_predicate(v). % 299.97/300.35 59444[16:Rew:375.0,55190.0] || member(singleton_set(singleton_set(a)),f23(powerset(cross_product(set_a,set_b)),u))* -> disjoint(powerset(cross_product(set_a,set_b)),u). % 299.97/300.35 59445[16:Rew:375.0,55191.0] || member(singleton_set(singleton_set(a)),f17(powerset(cross_product(set_a,set_b)),u))* -> subset(powerset(cross_product(set_a,set_b)),u). % 299.97/300.35 59446[16:Rew:375.0,55192.0] || member(singleton_set(singleton_set(a)),f23(u,powerset(cross_product(set_a,set_b))))* -> disjoint(u,powerset(cross_product(set_a,set_b))). % 299.97/300.35 55236[16:Rew:54986.0,49169.2] little_set(u) little_set(v) || member(a,v) disjoint(universal_set,first(ordered_pair(v,u)))* -> . % 299.97/300.35 55237[16:Rew:54986.0,49168.2] little_set(u) little_set(v) || member(a,v) disjoint(first(ordered_pair(v,u)),infinity)* -> . % 299.97/300.35 55342[16:Rew:54986.0,22306.2] little_set(u) little_set(v) || member(a,v) disjoint(first(ordered_pair(v,u)),set_b)* -> . % 299.97/300.35 55461[16:Rew:54986.0,48668.1] || -> equal(f26(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) ordered_pair_predicate(ordered_pair(non_ordered_pair(u,v),u))*. % 299.97/300.35 55462[16:Rew:54986.0,48667.1] || -> equal(f26(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) ordered_pair_predicate(ordered_pair(non_ordered_pair(u,v),v))*. % 299.97/300.35 55538[16:Rew:54986.0,49682.2] little_set(u) little_set(v) || member(a,u) disjoint(universal_set,second(ordered_pair(v,u)))* -> . % 299.97/300.35 55539[16:Rew:54986.0,49681.2] little_set(u) little_set(v) || member(a,u) disjoint(second(ordered_pair(v,u)),infinity)* -> . % 299.97/300.35 59447[16:Rew:54986.0,55540.1] || member(u,compose(v,w)) equal(singleton_set(f29(u,v,w)),a)** -> member(a,u). % 299.97/300.35 55645[16:Rew:54986.0,22550.2] little_set(u) little_set(v) || member(a,u) disjoint(second(ordered_pair(v,u)),set_b)* -> . % 299.97/300.35 59448[16:Rew:54986.0,55807.1] little_set(successor(estin)) || equal(non_ordered_pair(u,v),successor(a)) -> member(a,sigma(ordered_pair(u,v)))*. % 299.97/300.35 56058[16:Rew:54986.0,49023.1] || subset(u,non_ordered_pair(v,w))* -> equal(u,a) equal(f24(u),w) equal(f24(u),v). % 299.97/300.35 56059[16:Rew:54986.0,49018.2] || subset(u,second(f8(f24(u),v)))* member(f24(u),domain_of(v)) -> equal(u,a). % 299.97/300.35 56060[16:Rew:54986.0,49015.3] || member(u,v)* member(f24(u),w)* disjoint(w,sigma(v))* -> equal(u,a). % 299.97/300.35 56061[16:Rew:54986.0,49014.2] || member(u,v)* member(sigma(v),w)* -> equal(u,a) member(f24(u),sigma(w))*. % 299.97/300.35 56062[16:Rew:54986.0,48998.3] || member(u,v)* member(f26(u),w)* disjoint(w,sigma(v))* -> equal(u,a). % 299.97/300.35 56063[16:Rew:54986.0,48997.2] || member(u,v)* member(sigma(v),w)* -> equal(u,a) member(f26(u),sigma(w))*. % 299.97/300.35 56064[16:Rew:54986.0,48972.2] little_set(u) || subset(u,cross_product(v,w))* -> equal(u,a) member(first(f26(u)),v). % 299.97/300.35 56065[16:Rew:54986.0,48971.2] little_set(u) || subset(u,cross_product(v,w))* -> equal(u,a) member(second(f26(u)),w). % 299.97/300.35 56066[16:Rew:54986.0,48970.2] little_set(u) || subset(u,domain_of(cross_product(v,w)))* -> equal(u,a) member(f26(u),v). % 299.97/300.35 56067[16:Rew:54986.0,48969.2] little_set(u) || subset(u,range_of(cross_product(v,w)))* -> equal(u,a) member(f26(u),w). % 299.97/300.35 59449[16:Rew:54986.0,56068.2] little_set(u) || disjoint(singleton_set(f26(u)),u)* -> equal(singleton_set(f26(u)),a) equal(u,a). % 299.97/300.35 59450[16:Rew:54986.0,56069.1] little_set(u) || equal(f26(u),a) disjoint(ordered_pair(universal_set,v),u)* -> equal(u,a). % 299.97/300.35 56070[16:Rew:54986.0,48930.3] little_set(u) || equal(f26(u),v) disjoint(non_ordered_pair(w,v),u)* -> equal(u,a). % 299.97/300.35 56071[16:Rew:54986.0,48929.3] little_set(u) || equal(f26(u),v) disjoint(non_ordered_pair(v,w),u)* -> equal(u,a). % 299.97/300.35 56072[16:Rew:54986.0,48898.2] little_set(u) || subset(f25,powerset(v)) -> equal(u,a) subset(ordered_pair(u,f26(u)),v)*. % 299.97/300.35 56073[16:Rew:54986.0,48897.2] little_set(u) || subset(f25,singleton_set(v))* -> equal(u,a) equal(ordered_pair(u,f26(u)),v)*. % 299.97/300.35 56074[16:Rew:54986.0,48846.3] little_set(u) || disjoint(complement(v),f25) -> member(ordered_pair(u,f26(u)),v)* equal(u,a). % 299.97/300.35 56076[16:Rew:54986.0,48832.2] little_set(u) || member(f25,powerset(v)) -> equal(u,a) member(ordered_pair(u,f26(u)),v)*. % 299.97/300.35 56077[16:Rew:54986.0,48822.2] little_set(u) || subset(f25,image(v,cross_product(ordered_pair(u,f26(u)),w)))* -> equal(u,a). % 299.97/300.35 56078[16:Rew:54986.0,48819.2] little_set(u) || subset(f25,image(intersection(ordered_pair(u,f26(u)),v),w))* -> equal(u,a). % 299.97/300.35 56079[16:Rew:54986.0,48816.2] little_set(u) || subset(f25,image(restrict(ordered_pair(u,f26(u)),v),w))* -> equal(u,a). % 299.97/300.35 56080[16:Rew:54986.0,48813.2] little_set(u) || subset(f25,image(intersection(v,ordered_pair(u,f26(u))),w))* -> equal(u,a). % 299.97/300.35 59452[16:Rew:54986.0,56451.0] || disjoint(universal_set,complement(second(f28(u,v,singleton_set(a)))))* member(u,apply(v,singleton_set(a))) -> . % 299.97/300.35 59453[16:Rew:54986.0,56452.0] || disjoint(complement(second(f28(u,v,singleton_set(a)))),universal_set)* member(u,apply(v,singleton_set(a))) -> . % 299.97/300.35 59454[16:Rew:54986.0,56453.0] || member(universal_set,powerset(second(f28(u,v,singleton_set(a)))))* member(u,apply(v,singleton_set(a))) -> . % 299.97/300.35 56479[16:Rew:54986.0,49474.1] || disjoint(universal_set,complement(converse(intersection(u,v))))* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)*. % 299.97/300.35 56480[16:Rew:54986.0,49472.1] || disjoint(complement(converse(intersection(u,v))),universal_set)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)*. % 299.97/300.35 56481[16:Rew:54986.0,49470.1] || member(universal_set,powerset(converse(intersection(u,v))))* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)*. % 299.97/300.35 56483[16:Rew:54986.0,49479.1] || disjoint(universal_set,complement(converse(intersection(u,v))))* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u)*. % 299.97/300.35 56484[16:Rew:54986.0,49478.1] || disjoint(complement(converse(intersection(u,v))),universal_set)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u)*. % 299.97/300.35 56485[16:Rew:54986.0,49477.1] || member(universal_set,powerset(converse(intersection(u,v))))* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u)*. % 299.97/300.35 56490[16:Rew:54986.0,49484.1] || subset(universal_set,converse(cross_product(u,v)))* -> member(second(ordered_pair(second(singleton_set(a)),first(singleton_set(a)))),v)*. % 299.97/300.35 56494[16:Rew:54986.0,49488.1] || subset(universal_set,converse(cross_product(u,v)))* -> member(first(ordered_pair(second(singleton_set(a)),first(singleton_set(a)))),u)*. % 299.97/300.35 59455[16:Rew:54986.0,56514.1] || subset(universal_set,ordered_pair(u,v))* -> equal(non_ordered_pair(u,v),singleton_set(a)) equal(singleton_set(a),singleton_set(u)). % 299.97/300.35 56578[16:Rew:54986.0,49575.3] ordered_pair_predicate(u) || subset(universal_set,f2(u))* equal(v,u)* -> member(singleton_set(a),first(v))*. % 299.97/300.35 56582[16:Rew:54986.0,49579.3] ordered_pair_predicate(u) || subset(universal_set,f3(u))* equal(v,u)* -> member(singleton_set(a),second(v))*. % 299.97/300.35 56799[16:Rew:54986.0,50387.1] || disjoint(universal_set,complement(converse(intersection(u,v))))* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),u)*. % 299.97/300.35 56800[16:Rew:54986.0,50386.1] || disjoint(complement(converse(intersection(u,v))),universal_set)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),u)*. % 299.97/300.35 56801[16:Rew:54986.0,50385.1] || member(universal_set,powerset(converse(intersection(u,v))))* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),u)*. % 299.97/300.35 56807[16:Rew:54986.0,50395.1] || disjoint(universal_set,complement(converse(intersection(u,v))))* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),v)*. % 299.97/300.35 56808[16:Rew:54986.0,50394.1] || disjoint(complement(converse(intersection(u,v))),universal_set)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),v)*. % 299.97/300.35 56809[16:Rew:54986.0,50393.1] || member(universal_set,powerset(converse(intersection(u,v))))* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),v)*. % 299.97/300.35 56814[16:Rew:54986.0,50400.1] || subset(universal_set,converse(cross_product(u,v)))* -> member(first(ordered_pair(second(powerset(a)),first(powerset(a)))),u)*. % 299.97/300.35 56818[16:Rew:54986.0,50404.1] || subset(universal_set,converse(cross_product(u,v)))* -> member(second(ordered_pair(second(powerset(a)),first(powerset(a)))),v)*. % 299.97/300.35 59456[16:Rew:54986.0,56860.1] || subset(universal_set,ordered_pair(u,v))* -> equal(non_ordered_pair(u,v),powerset(a)) equal(powerset(a),singleton_set(u)). % 299.97/300.35 59457[16:Rew:54986.0,56912.1] || disjoint(complement(second(f28(u,v,powerset(a)))),universal_set)* member(u,apply(v,powerset(a))) -> . % 299.97/300.35 59458[16:Rew:54986.0,56913.1] || disjoint(universal_set,complement(second(f28(u,v,powerset(a)))))* member(u,apply(v,powerset(a))) -> . % 299.97/300.35 59459[16:Rew:54986.0,56914.1] || member(universal_set,powerset(second(f28(u,v,powerset(a)))))* member(u,apply(v,powerset(a))) -> . % 299.97/300.35 56919[16:Rew:54986.0,50499.3] ordered_pair_predicate(u) || subset(universal_set,f2(u))* equal(v,u)* -> member(powerset(a),first(v))*. % 299.97/300.35 56923[16:Rew:54986.0,50503.3] ordered_pair_predicate(u) || subset(universal_set,f3(u))* equal(v,u)* -> member(powerset(a),second(v))*. % 299.97/300.35 59460[16:Rew:54986.0,57009.2] || member(f26(complement(u)),u)* equal(f1(universal_set,a),complement(u)) -> equal(complement(u),a). % 299.97/300.35 57211[16:Rew:54986.0,50656.1] || subset(f25,converse(u))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))))*. % 299.97/300.35 57212[16:Rew:54986.0,50655.1] || subset(universal_set,converse(u))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))))*. % 299.97/300.35 57243[16:Rew:54986.0,50688.1] || subset(f25,intersection(complement(u),complement(v))) member(ordered_pair(powerset(a),a),union(u,v))* -> . % 299.97/300.35 57244[16:Rew:54986.0,50687.1] || subset(universal_set,intersection(complement(u),complement(v))) member(ordered_pair(powerset(a),a),union(u,v))* -> . % 299.97/300.35 57665[16:Rew:54986.0,49092.1] || equal(intersection(u,v),infinity) -> equal(intersection(u,v),a) member(f26(intersection(u,v)),u)*. % 299.97/300.35 57667[16:Rew:54986.0,49086.1] || equal(intersection(u,v),infinity) -> equal(intersection(u,v),a) member(f26(intersection(u,v)),v)*. % 299.97/300.35 57692[16:Rew:54986.0,48651.2] || member(second(f24(cross_product(u,v))),w)* disjoint(w,v) -> equal(cross_product(u,v),a). % 299.97/300.35 57693[16:Rew:54986.0,48648.2] || member(first(f24(cross_product(u,v))),w)* disjoint(w,u) -> equal(cross_product(u,v),a). % 299.97/300.35 57694[16:Rew:54986.0,48645.1] ordered_pair_predicate(cross_product(u,v)) || -> equal(cross_product(u,v),a) member(second(f26(cross_product(u,v))),v)*. % 299.97/300.35 57695[16:Rew:54986.0,48639.1] ordered_pair_predicate(cross_product(u,v)) || -> equal(cross_product(u,v),a) member(first(f26(cross_product(u,v))),u)*. % 299.97/300.35 57869[16:Rew:54986.0,49764.2] little_set(u) || member(ordered_pair(singleton_set(v),u),f25)* -> equal(singleton_set(v),a) equal(u,v). % 299.97/300.35 58078[16:Rew:54986.0,50618.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** -> member(u,converse(ordered_pair(universal_set,v)))*. % 299.97/300.35 58079[16:Rew:54986.0,50613.1] ordered_pair_predicate(u) || -> equal(ordered_pair(second(u),first(u)),a) ordered_pair_predicate(f26(ordered_pair(second(u),first(u))))*. % 299.97/300.35 58087[16:Rew:54986.0,50858.2] little_set(powerset(u)) || equal(powerset(u),non_ordered_pair(v,w))* -> member(a,sigma(ordered_pair(v,w)))*. % 299.97/300.35 58118[16:Rew:54986.0,49318.1] || -> member(f24(complement(union(u,v))),intersection(complement(u),complement(v)))* equal(complement(union(u,v)),a). % 299.97/300.35 58145[16:Rew:54986.0,50786.2] || disjoint(intersection(complement(u),complement(v)),w)* -> member(f24(w),union(u,v)) equal(w,a). % 299.97/300.35 58151[16:Rew:54986.0,50879.1] little_set(u) || -> equal(singleton_set(complement(v)),a) member(u,v) member(u,sigma(singleton_set(complement(v))))*. % 299.97/300.35 58171[16:Rew:54986.0,51134.2] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),a) member(f24(f2(u)),first(v))*. % 299.97/300.35 58172[16:Rew:54986.0,51131.2] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),a) member(f26(f2(u)),first(v))*. % 299.97/300.35 58198[16:Rew:54986.0,50110.0] || -> equal(intersection(restrict(u,v),w),a) member(f24(intersection(restrict(u,v),w)),cross_product(v,universal_set))*. % 299.97/300.35 58204[16:Rew:54986.0,50126.0] || -> equal(intersection(u,restrict(v,w)),a) member(f24(intersection(u,restrict(v,w))),cross_product(w,universal_set))*. % 299.97/300.35 58237[16:Rew:54986.0,51067.2] || member(u,sigma(v)) member(u,f24(f16(u,v)))* -> equal(f16(u,v),a). % 299.97/300.35 58242[16:Rew:54986.0,51090.0] || equal(f8(u,v),a) member(u,domain_of(v))* disjoint(ordered_pair(universal_set,w),v)* -> . % 299.97/300.35 58244[16:Rew:54986.0,51093.0] || equal(f27(u,v),a) member(u,range_of(v))* disjoint(ordered_pair(universal_set,w),v)* -> . % 299.97/300.35 58267[16:Rew:54986.0,50167.1] || member(u,v) -> equal(cross_product(w,u),a) member(second(f24(cross_product(w,u))),sigma(v))*. % 299.97/300.35 58273[16:Rew:54986.0,50188.1] || member(u,v) -> equal(cross_product(u,w),a) member(first(f24(cross_product(u,w))),sigma(v))*. % 299.97/300.35 58321[16:Rew:54986.0,49315.0] || -> equal(complement(complement(domain_of(cross_product(u,v)))),a) member(f24(complement(complement(domain_of(cross_product(u,v))))),u)*. % 299.97/300.35 58322[16:Rew:54986.0,49316.0] || -> equal(complement(complement(range_of(cross_product(u,v)))),a) member(f24(complement(complement(range_of(cross_product(u,v))))),v)*. % 299.97/300.35 58323[16:Rew:54986.0,50114.0] || -> equal(intersection(domain_of(cross_product(u,v)),w),a) member(f24(intersection(domain_of(cross_product(u,v)),w)),u)*. % 299.97/300.35 58324[16:Rew:54986.0,50115.0] || -> equal(intersection(range_of(cross_product(u,v)),w),a) member(f24(intersection(range_of(cross_product(u,v)),w)),v)*. % 299.97/300.35 58325[16:Rew:54986.0,50130.0] || -> equal(intersection(u,domain_of(cross_product(v,w))),a) member(f24(intersection(u,domain_of(cross_product(v,w)))),v)*. % 299.97/300.35 58326[16:Rew:54986.0,50131.0] || -> equal(intersection(u,range_of(cross_product(v,w))),a) member(f24(intersection(u,range_of(cross_product(v,w)))),w)*. % 299.97/300.35 58327[16:Rew:54986.0,50174.0] || -> equal(cross_product(u,cross_product(v,w)),a) member(first(second(f24(cross_product(u,cross_product(v,w))))),v)*. % 299.97/300.35 58328[16:Rew:54986.0,50173.0] || -> equal(cross_product(u,cross_product(v,w)),a) member(second(second(f24(cross_product(u,cross_product(v,w))))),w)*. % 299.97/300.35 58329[16:Rew:54986.0,50175.1] || equal(u,second(f24(cross_product(v,flip_range_of(w)))))* -> equal(cross_product(v,flip_range_of(w)),a) ordered_pair_predicate(u)*. % 299.97/300.35 58330[16:Rew:54986.0,50176.1] || equal(u,second(f24(cross_product(v,rotate_right(w)))))* -> equal(cross_product(v,rotate_right(w)),a) ordered_pair_predicate(u)*. % 299.97/300.35 58331[16:Rew:54986.0,50195.0] || -> equal(cross_product(cross_product(u,v),w),a) member(first(first(f24(cross_product(cross_product(u,v),w)))),u)*. % 299.97/300.35 58332[16:Rew:54986.0,50194.0] || -> equal(cross_product(cross_product(u,v),w),a) member(second(first(f24(cross_product(cross_product(u,v),w)))),v)*. % 299.97/300.35 58333[16:Rew:54986.0,50196.1] || equal(u,first(f24(cross_product(flip_range_of(v),w))))* -> equal(cross_product(flip_range_of(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 58334[16:Rew:54986.0,50197.1] || equal(u,first(f24(cross_product(rotate_right(v),w))))* -> equal(cross_product(rotate_right(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 58335[16:Rew:54986.0,50799.0] || equal(f8(u,complement(ordered_pair(universal_set,v))),a) member(u,domain_of(complement(ordered_pair(universal_set,v))))* -> . % 299.97/300.35 58337[16:Rew:54986.0,50801.0] || equal(f27(u,complement(ordered_pair(universal_set,v))),a) member(u,range_of(complement(ordered_pair(universal_set,v))))* -> . % 299.97/300.35 58339[16:Rew:54986.0,50962.2] || equal(u,v) member(u,singleton_set(non_ordered_pair(w,v)))* -> equal(singleton_set(non_ordered_pair(w,v)),a). % 299.97/300.35 58341[16:Rew:54986.0,50973.2] || equal(u,v) member(u,singleton_set(non_ordered_pair(v,w)))* -> equal(singleton_set(non_ordered_pair(v,w)),a). % 299.97/300.35 58347[16:Rew:54986.0,51044.2] || member(u,second(v)) member(u,f24(f7(u,v)))* -> equal(f7(u,v),a). % 299.97/300.35 58354[16:Rew:54986.0,51057.2] || member(u,first(v)) member(u,f24(f4(u,v)))* -> equal(f4(u,v),a). % 299.97/300.35 58357[16:Rew:54986.0,51148.2] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),a) member(f24(f3(u)),second(v))*. % 299.97/300.35 58358[16:Rew:54986.0,51145.2] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),a) member(f26(f3(u)),second(v))*. % 299.97/300.35 58359[16:Rew:54986.0,51569.1] || member(ordered_pair(universal_set,u),domain_of(v)) -> member(a,sigma(complement(second(f8(ordered_pair(universal_set,u),v)))))*. % 299.97/300.35 58360[16:Rew:54986.0,51570.0] || -> member(a,sigma(complement(non_ordered_pair(u,v))))* equal(ordered_pair(universal_set,w),v)* equal(ordered_pair(universal_set,w),u)*. % 299.97/300.35 66351[16:SSi:66342.1,66342.0,159.0,991.0,55026.0,55048.1,78.0,159.0,991.0,55026.0] little_set(u) || member(ordered_pair(u,powerset(a)),v) -> member(ordered_pair(u,a),compose(v,universal_set))*. % 299.97/300.35 66352[16:SSi:66328.1,66328.0,159.0,991.0,55026.0,55048.1,78.0,159.0,991.0,55026.0] little_set(u) || member(ordered_pair(u,powerset(a)),v) -> member(ordered_pair(u,a),compose(v,f25))*. % 299.97/300.35 67545[16:Res:1080.2,58846.0] little_set(successor(a)) || equal(non_ordered_pair(u,v),successor(a)) -> member(a,sigma(ordered_pair(u,v)))*. % 299.97/300.35 73295[17:Rew:73253.0,57052.2] || subset(universal_set,converse(u))* member(u,v)* -> member(ordered_pair(second(a),first(a)),sigma(v))*. % 299.97/300.35 78795[16:Res:18200.1,56189.0] ordered_pair_predicate(u) || -> equal(ordered_pair(second(u),first(u)),a) little_set(f26(ordered_pair(second(u),first(u))))*. % 299.97/300.35 82515[0:Rew:3822.2,82507.3] || -> member(u,v) equal(w,singleton_set(u)) member(f1(w,singleton_set(u)),w)* member(u,complement(v))*. % 299.97/300.35 82516[0:Rew:3840.2,82506.3] || -> member(u,v) equal(singleton_set(u),w) member(f1(singleton_set(u),w),w)* member(u,complement(v))*. % 299.97/300.35 82797[16:Res:82637.1,1227.1] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(v))* disjoint(set_b,v) -> . % 299.97/300.35 82805[16:Res:82637.1,56081.1] little_set(u) || equal(ordered_pair(u,f26(u)),a)** disjoint(set_b,f25) -> equal(u,a). % 299.97/300.35 82810[16:Res:82637.1,1337.1] || equal(f22(u,v,w),a) member(u,image(v,w))* disjoint(set_b,w) -> . % 299.97/300.35 82812[16:Res:82637.1,1272.1] || equal(f28(u,v,w),a) member(u,apply(v,w))* disjoint(set_b,v) -> . % 299.97/300.35 82950[3:Res:82638.1,1227.1] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(v))* disjoint(set_a,v) -> . % 299.97/300.35 82958[16:Res:82638.1,56081.1] little_set(u) || equal(ordered_pair(u,f26(u)),a)** disjoint(set_a,f25) -> equal(u,a). % 299.97/300.35 82963[3:Res:82638.1,1337.1] || equal(f22(u,v,w),a) member(u,image(v,w))* disjoint(set_a,w) -> . % 299.97/300.35 82965[3:Res:82638.1,1272.1] || equal(f28(u,v,w),a) member(u,apply(v,w))* disjoint(set_a,v) -> . % 299.97/300.35 83104[16:Res:82641.1,1227.1] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(v))* disjoint(infinity,v) -> . % 299.97/300.35 83112[16:Res:82641.1,56081.1] little_set(u) || equal(ordered_pair(u,f26(u)),a)** disjoint(infinity,f25) -> equal(u,a). % 299.97/300.35 83118[16:Res:82641.1,1337.1] || equal(f22(u,v,w),a) member(u,image(v,w))* disjoint(infinity,w) -> . % 299.97/300.35 83120[16:Res:82641.1,1272.1] || equal(f28(u,v,w),a) member(u,apply(v,w))* disjoint(infinity,v) -> . % 299.97/300.35 83882[16:Res:286.1,83606.1] || subset(f17(intersection(f24(powerset(u)),v),w),u)* -> subset(intersection(f24(powerset(u)),v),w). % 299.97/300.35 83884[16:Res:285.1,83606.1] || subset(f23(intersection(f24(powerset(u)),v),w),u)* -> disjoint(intersection(f24(powerset(u)),v),w). % 299.97/300.35 83905[16:Res:55073.2,83606.1] little_set(f24(powerset(u))) || subset(f26(f24(powerset(u))),u)* -> equal(f24(powerset(u)),a). % 299.97/300.35 83917[16:Res:289.1,83606.1] || subset(f23(u,intersection(f24(powerset(v)),w)),v)* -> disjoint(u,intersection(f24(powerset(v)),w)). % 299.97/300.35 83919[16:Res:277.1,83606.1] || subset(f23(intersection(u,f24(powerset(v))),w),v)* -> disjoint(intersection(u,f24(powerset(v))),w). % 299.97/300.35 83922[16:Res:278.1,83606.1] || subset(f17(intersection(u,f24(powerset(v))),w),v)* -> subset(intersection(u,f24(powerset(v))),w). % 299.97/300.35 83929[16:Res:118.1,83606.1] || member(u,apply(f24(powerset(v)),w)) subset(f28(u,f24(powerset(v)),w),v)* -> . % 299.97/300.35 83940[16:Res:55151.1,83606.1] || subset(second(f24(cross_product(u,f24(powerset(v))))),v)* -> equal(cross_product(u,f24(powerset(v))),a). % 299.97/300.35 83944[16:Res:55061.3,83606.1] little_set(u) || subset(u,f24(powerset(v)))* subset(f26(u),v) -> equal(u,a). % 299.97/300.35 83954[16:Res:93.1,83606.1] || member(u,image(v,f24(powerset(w)))) subset(f22(u,v,f24(powerset(w))),w)* -> . % 299.97/300.35 83960[16:Res:281.1,83606.1] || subset(f23(u,intersection(v,f24(powerset(w)))),w)* -> disjoint(u,intersection(v,f24(powerset(w)))). % 299.97/300.35 83961[16:Res:965.2,83606.1] || member(u,domain_of(v)) subset(v,f24(powerset(w))) subset(f8(u,v),w)* -> . % 299.97/300.35 83963[16:Res:964.2,83606.1] || member(u,sigma(v)) subset(v,f24(powerset(w))) subset(f16(u,v),w)* -> . % 299.97/300.35 83965[16:Res:963.2,83606.1] || member(u,range_of(v)) subset(v,f24(powerset(w))) subset(f27(u,v),w)* -> . % 299.97/300.35 84006[16:Res:55152.1,83606.1] || subset(first(f24(cross_product(f24(powerset(u)),v))),u)* -> equal(cross_product(f24(powerset(u)),v),a). % 299.97/300.35 84072[2:Res:286.1,25433.0] || subset(u,f17(intersection(image(u,v),w),x))* -> subset(intersection(image(u,v),w),x). % 299.97/300.35 84074[2:Res:285.1,25433.0] || subset(u,f23(intersection(image(u,v),w),x))* -> disjoint(intersection(image(u,v),w),x). % 299.97/300.35 84095[16:Res:55073.2,25433.0] little_set(image(u,v)) || subset(u,f26(image(u,v)))* -> equal(image(u,v),a). % 299.97/300.35 84107[2:Res:289.1,25433.0] || subset(u,f23(v,intersection(image(u,w),x)))* -> disjoint(v,intersection(image(u,w),x)). % 299.97/300.35 84109[2:Res:277.1,25433.0] || subset(u,f23(intersection(v,image(u,w)),x))* -> disjoint(intersection(v,image(u,w)),x). % 299.97/300.35 84112[2:Res:278.1,25433.0] || subset(u,f17(intersection(v,image(u,w)),x))* -> subset(intersection(v,image(u,w)),x). % 299.97/300.35 84119[2:Res:118.1,25433.0] || member(u,apply(image(v,w),x)) subset(v,f28(u,image(v,w),x))* -> . % 299.97/300.35 84130[16:Res:55151.1,25433.0] || subset(u,second(f24(cross_product(v,image(u,w)))))* -> equal(cross_product(v,image(u,w)),a). % 299.97/300.35 84134[16:Res:55061.3,25433.0] little_set(u) || subset(u,image(v,w))* subset(v,f26(u)) -> equal(u,a). % 299.97/300.35 84144[2:Res:93.1,25433.0] || member(u,image(v,image(w,x))) subset(w,f22(u,v,image(w,x)))* -> . % 299.97/300.35 84150[2:Res:281.1,25433.0] || subset(u,f23(v,intersection(w,image(u,x))))* -> disjoint(v,intersection(w,image(u,x))). % 299.97/300.35 84151[2:Res:965.2,25433.0] || member(u,domain_of(v)) subset(v,image(w,x))* subset(w,f8(u,v))* -> . % 299.97/300.35 84153[2:Res:964.2,25433.0] || member(u,sigma(v)) subset(v,image(w,x))* subset(w,f16(u,v))* -> . % 299.97/300.35 84155[2:Res:963.2,25433.0] || member(u,range_of(v)) subset(v,image(w,x))* subset(w,f27(u,v))* -> . % 299.97/300.35 84196[16:Res:55152.1,25433.0] || subset(u,first(f24(cross_product(image(u,v),w))))* -> equal(cross_product(image(u,v),w),a). % 299.97/300.35 86763[3:SoR:10938.0,4549.2] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),v)* member(v,flip_range_of(w))* -> . % 299.97/300.35 86764[3:SoR:10938.0,4578.2] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),v)* member(v,rotate_right(w))* -> . % 299.97/300.35 87626[16:Res:82665.1,1284.1] || equal(f28(u,complement(sigma(infinity)),v),a) member(u,apply(complement(sigma(infinity)),v))* -> . % 299.97/300.35 87636[16:Res:82665.1,1349.1] || equal(f22(u,v,complement(sigma(infinity))),a) member(u,image(v,complement(sigma(infinity))))* -> . % 299.97/300.35 87780[16:Res:82681.1,1284.1] || equal(f28(u,complement(successor(a)),v),a) member(u,apply(complement(successor(a)),v))* -> . % 299.97/300.35 87790[16:Res:82681.1,1349.1] || equal(f22(u,v,complement(successor(a))),a) member(u,image(v,complement(successor(a))))* -> . % 299.97/300.35 87931[16:Rew:87905.1,82889.1] || equal(f1(set_a,non_ordered_pair(u,v)),a)** equal(a,v) -> equal(non_ordered_pair(u,v),set_a). % 299.97/300.35 87932[16:Rew:87905.1,82888.1] || equal(f1(set_a,non_ordered_pair(u,v)),a)** equal(a,u) -> equal(non_ordered_pair(u,v),set_a). % 299.97/300.35 87933[16:Rew:87905.1,82736.1] || equal(f1(set_b,non_ordered_pair(u,v)),a)** equal(a,v) -> equal(non_ordered_pair(u,v),set_b). % 299.97/300.35 87934[16:Rew:87905.1,82735.1] || equal(f1(set_b,non_ordered_pair(u,v)),a)** equal(a,u) -> equal(non_ordered_pair(u,v),set_b). % 299.97/300.35 87935[16:Rew:87905.1,83043.1] || equal(f1(infinity,non_ordered_pair(u,v)),a)** equal(a,v) -> equal(non_ordered_pair(u,v),infinity). % 299.97/300.35 87936[16:Rew:87905.1,83042.1] || equal(f1(infinity,non_ordered_pair(u,v)),a)** equal(a,u) -> equal(non_ordered_pair(u,v),infinity). % 299.97/300.35 87972[16:Rew:87905.1,58439.1] || equal(f1(u,ordered_pair(universal_set,v)),a)** member(a,u) -> equal(u,ordered_pair(universal_set,v)). % 299.97/300.35 87974[16:Rew:87905.1,87805.3] || equal(f1(u,v),a)** disjoint(successor(a),u)* -> equal(u,v) member(a,v). % 299.97/300.35 87975[16:Rew:87905.1,87651.3] || equal(f1(u,v),a)** disjoint(sigma(infinity),u)* -> equal(u,v) member(a,v). % 299.97/300.35 87981[16:Rew:87905.1,87806.3] || equal(f1(u,v),a)** disjoint(successor(a),v)* -> equal(u,v) member(a,u). % 299.97/300.35 87982[16:Rew:87905.1,87652.3] || equal(f1(u,v),a)** disjoint(sigma(infinity),v)* -> equal(u,v) member(a,u). % 299.97/300.35 87991[16:Rew:87905.1,83073.1] || equal(f17(u,intersection(v,infinity)),a)** member(a,v) -> subset(u,intersection(v,infinity)). % 299.97/300.35 87992[16:Rew:87905.1,82919.1] || equal(f17(u,intersection(v,set_a)),a)** member(a,v) -> subset(u,intersection(v,set_a)). % 299.97/300.35 87993[16:Rew:87905.1,82766.1] || equal(f17(u,intersection(v,set_b)),a)** member(a,v) -> subset(u,intersection(v,set_b)). % 299.97/300.35 88109[16:Res:82671.1,56124.1] little_set(u) || equal(f26(u),infinity) disjoint(singleton_set(f26(u)),u)* -> equal(u,a). % 299.97/300.35 88118[3:Res:82671.1,1137.1] little_set(u) || equal(complement(v),infinity) -> member(u,v) member(u,sigma(singleton_set(complement(v))))*. % 299.97/300.35 88229[16:Rew:36.0,88189.1] || member(f1(union(u,v),a),intersection(complement(u),complement(v)))* -> equal(union(u,v),a). % 299.97/300.35 88233[16:MRR:88214.0,5.0] || equal(f1(complement(ordered_pair(u,v)),a),non_ordered_pair(u,v))** -> equal(complement(ordered_pair(u,v)),a). % 299.97/300.35 88309[16:Rew:36.0,88269.1] || member(f1(a,union(u,v)),intersection(complement(u),complement(v)))* -> equal(union(u,v),a). % 299.97/300.35 88313[16:MRR:88294.0,5.0] || equal(f1(a,complement(ordered_pair(u,v))),non_ordered_pair(u,v))** -> equal(complement(ordered_pair(u,v)),a). % 299.97/300.35 88427[16:Res:57853.0,274.0] || -> equal(complement(complement(restrict(u,v))),a) member(f24(complement(complement(restrict(u,v)))),cross_product(v,universal_set))*. % 299.97/300.35 88612[16:Res:88372.0,4116.1] ordered_pair_predicate(u) || -> member(a,complement(singleton_set(ordered_pair(second(u),first(u)))))* member(u,converse(powerset(v)))*. % 299.97/300.35 88656[16:Res:88372.0,1104.2] little_set(u) || equal(u,v)* -> member(a,complement(singleton_set(non_ordered_pair(v,w))))* member(u,x)*. % 299.97/300.35 88657[16:Res:88372.0,1081.2] little_set(u) || equal(u,v)* -> member(a,complement(singleton_set(non_ordered_pair(w,v))))* member(u,x)*. % 299.97/300.35 89110[3:SoR:10938.0,3913.2] little_set(u) || member(universal_set,range_of(v)) equal(first(f27(universal_set,v)),singleton_set(singleton_set(u)))* -> . % 299.97/300.35 89156[0:Res:87.1,14370.1] || member(ordered_pair(f19(converse(complement(u))),f21(converse(complement(u)))),converse(u))* -> single_valued_set(converse(complement(u))). % 299.97/300.35 89157[0:Res:86.1,14370.1] || member(ordered_pair(f19(converse(complement(u))),f20(converse(complement(u)))),converse(u))* -> single_valued_set(converse(complement(u))). % 299.97/300.35 89175[16:Res:57853.0,14370.1] || member(f24(complement(complement(converse(complement(u))))),converse(u))* -> equal(complement(complement(converse(complement(u)))),a). % 299.97/300.35 89176[16:Res:55149.1,14370.1] || member(f24(intersection(converse(complement(u)),v)),converse(u))* -> equal(intersection(converse(complement(u)),v),a). % 299.97/300.35 89215[16:Res:55150.1,14370.1] || member(f24(intersection(u,converse(complement(v)))),converse(v))* -> equal(intersection(u,converse(complement(v))),a). % 299.97/300.35 89254[0:Res:956.2,14370.1] || subset(u,converse(complement(v))) member(ordered_pair(f19(u),f21(u)),converse(v))* -> single_valued_set(u). % 299.97/300.35 89255[0:Res:957.2,14370.1] || subset(u,converse(complement(v))) member(ordered_pair(f19(u),f20(u)),converse(v))* -> single_valued_set(u). % 299.97/300.35 89400[0:Res:4258.0,43745.1] || member(f1(complement(flip_range_of(complement(flip_range_of(u)))),universal_set),u)* -> equal(complement(flip_range_of(complement(flip_range_of(u)))),universal_set). % 299.97/300.35 89402[2:Res:25246.0,43745.1] || member(f1(universal_set,complement(flip_range_of(complement(flip_range_of(u))))),u)* -> equal(complement(flip_range_of(complement(flip_range_of(u)))),universal_set). % 299.97/300.35 89426[0:Res:395.0,43745.1] || member(f17(u,complement(flip_range_of(complement(flip_range_of(v))))),v)* -> subset(u,complement(flip_range_of(complement(flip_range_of(v))))). % 299.97/300.35 89429[0:Res:38.1,43745.1] || member(u,domain_of(flip_range_of(complement(flip_range_of(v))))) member(f8(u,flip_range_of(complement(flip_range_of(v)))),v)* -> . % 299.97/300.35 89431[0:Res:66.1,43745.1] || member(u,sigma(flip_range_of(complement(flip_range_of(v))))) member(f16(u,flip_range_of(complement(flip_range_of(v)))),v)* -> . % 299.97/300.35 89433[0:Res:107.1,43745.1] || member(u,range_of(flip_range_of(complement(flip_range_of(v))))) member(f27(u,flip_range_of(complement(flip_range_of(v)))),v)* -> . % 299.97/300.35 89488[0:Res:956.2,43745.1] || subset(u,flip_range_of(complement(flip_range_of(v)))) member(ordered_pair(f19(u),f21(u)),v)* -> single_valued_set(u). % 299.97/300.35 89489[0:Res:957.2,43745.1] || subset(u,flip_range_of(complement(flip_range_of(v)))) member(ordered_pair(f19(u),f20(u)),v)* -> single_valued_set(u). % 299.97/300.35 89601[16:Res:1013.1,56180.0] || member(u,converse(powerset(v)))* disjoint(v,universal_set) -> equal(ordered_pair(second(u),first(u)),a)**. % 299.97/300.35 91403[16:Rew:90184.0,91109.2] || equal(f17(u,intersection(v,universal_set)),a)** member(a,v) -> subset(u,intersection(v,universal_set)). % 299.97/300.35 92576[0:Res:4258.0,19261.0] || -> equal(complement(sigma(intersection(u,v))),universal_set) member(f1(complement(sigma(intersection(u,v))),universal_set),sigma(u))*. % 299.97/300.35 92578[2:Res:25246.0,19261.0] || -> equal(complement(sigma(intersection(u,v))),universal_set) member(f1(universal_set,complement(sigma(intersection(u,v)))),sigma(u))*. % 299.97/300.35 92602[0:Res:395.0,19261.0] || -> subset(u,complement(sigma(intersection(v,w)))) member(f17(u,complement(sigma(intersection(v,w)))),sigma(v))*. % 299.97/300.35 92605[0:Res:38.1,19261.0] || member(u,domain_of(sigma(intersection(v,w)))) -> member(f8(u,sigma(intersection(v,w))),sigma(v))*. % 299.97/300.35 92607[0:Res:66.1,19261.0] || member(u,sigma(sigma(intersection(v,w)))) -> member(f16(u,sigma(intersection(v,w))),sigma(v))*. % 299.97/300.35 92609[0:Res:107.1,19261.0] || member(u,range_of(sigma(intersection(v,w)))) -> member(f27(u,sigma(intersection(v,w))),sigma(v))*. % 299.97/300.35 92664[0:Res:956.2,19261.0] || subset(u,sigma(intersection(v,w)))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),sigma(v))*. % 299.97/300.35 92665[0:Res:957.2,19261.0] || subset(u,sigma(intersection(v,w)))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),sigma(v))*. % 299.97/300.35 92712[0:Res:1161.2,19261.0] || member(u,domain_of(v)) member(v,intersection(w,x))* -> member(f8(u,v),sigma(w))*. % 299.97/300.35 92713[0:Res:1160.2,19261.0] || member(u,sigma(v)) member(v,intersection(w,x))* -> member(f16(u,v),sigma(w))*. % 299.97/300.35 92714[0:Res:1159.2,19261.0] || member(u,range_of(v)) member(v,intersection(w,x))* -> member(f27(u,v),sigma(w))*. % 299.97/300.35 92778[0:Res:4258.0,19263.0] || -> equal(complement(sigma(intersection(u,v))),universal_set) member(f1(complement(sigma(intersection(u,v))),universal_set),sigma(v))*. % 299.97/300.35 92780[2:Res:25246.0,19263.0] || -> equal(complement(sigma(intersection(u,v))),universal_set) member(f1(universal_set,complement(sigma(intersection(u,v)))),sigma(v))*. % 299.97/300.35 92804[0:Res:395.0,19263.0] || -> subset(u,complement(sigma(intersection(v,w)))) member(f17(u,complement(sigma(intersection(v,w)))),sigma(w))*. % 299.97/300.35 92807[0:Res:38.1,19263.0] || member(u,domain_of(sigma(intersection(v,w)))) -> member(f8(u,sigma(intersection(v,w))),sigma(w))*. % 299.97/300.35 92809[0:Res:66.1,19263.0] || member(u,sigma(sigma(intersection(v,w)))) -> member(f16(u,sigma(intersection(v,w))),sigma(w))*. % 299.97/300.35 92811[0:Res:107.1,19263.0] || member(u,range_of(sigma(intersection(v,w)))) -> member(f27(u,sigma(intersection(v,w))),sigma(w))*. % 299.97/300.35 92866[0:Res:956.2,19263.0] || subset(u,sigma(intersection(v,w)))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),sigma(w))*. % 299.97/300.35 92867[0:Res:957.2,19263.0] || subset(u,sigma(intersection(v,w)))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),sigma(w))*. % 299.97/300.35 92914[0:Res:1161.2,19263.0] || member(u,domain_of(v)) member(v,intersection(w,x))* -> member(f8(u,v),sigma(x))*. % 299.97/300.35 92915[0:Res:1160.2,19263.0] || member(u,sigma(v)) member(v,intersection(w,x))* -> member(f16(u,v),sigma(x))*. % 299.97/300.35 92916[0:Res:1159.2,19263.0] || member(u,range_of(v)) member(v,intersection(w,x))* -> member(f27(u,v),sigma(x))*. % 299.97/300.35 93006[16:Res:211.1,56181.0] || disjoint(u,f23(powerset(u),v))* -> disjoint(powerset(u),v) equal(f23(powerset(u),v),a). % 299.97/300.35 93007[16:Res:216.1,56181.0] || disjoint(u,f17(powerset(u),v))* -> subset(powerset(u),v) equal(f17(powerset(u),v),a). % 299.97/300.35 93022[16:Res:206.1,56181.0] || disjoint(u,f23(v,powerset(u)))* -> disjoint(v,powerset(u)) equal(f23(v,powerset(u)),a). % 299.97/300.35 94202[16:Res:57719.1,14370.1] || member(f24(restrict(converse(complement(u)),v)),converse(u))* -> equal(restrict(converse(complement(u)),v),a). % 299.97/300.35 94213[16:Res:57719.1,560.0] || -> equal(restrict(domain_of(cross_product(u,v)),w),a) member(f24(restrict(domain_of(cross_product(u,v)),w)),u)*. % 299.97/300.35 94215[16:Res:57719.1,547.0] || -> equal(restrict(range_of(cross_product(u,v)),w),a) member(f24(restrict(range_of(cross_product(u,v)),w)),v)*. % 299.97/300.35 94223[16:Res:57719.1,274.0] || -> equal(restrict(restrict(u,v),w),a) member(f24(restrict(restrict(u,v),w)),cross_product(v,universal_set))*. % 299.97/300.35 94474[0:Res:1013.1,14041.0] || member(u,converse(powerset(v)))* disjoint(v,w)* -> disjoint(ordered_pair(second(u),first(u)),w)*. % 299.97/300.35 94804[0:Res:1013.1,14151.0] || member(u,converse(powerset(v)))* disjoint(v,w)* -> disjoint(w,ordered_pair(second(u),first(u)))*. % 299.97/300.35 94848[16:Res:91681.1,1009.0] || equal(complement(converse(u)),a)** subset(u,v)* -> member(ordered_pair(second(infinity),first(infinity)),v)*. % 299.97/300.35 94903[16:Res:91681.1,5018.1] ordered_pair_predicate(u) || equal(complement(f2(u)),a)** equal(v,u)* -> member(infinity,first(v))*. % 299.97/300.35 94904[16:Res:91681.1,5063.1] ordered_pair_predicate(u) || equal(complement(f3(u)),a)** equal(v,u)* -> member(infinity,second(v))*. % 299.97/300.35 95376[16:Res:92031.1,1009.0] || equal(complement(converse(u)),a)** subset(u,v)* -> member(ordered_pair(second(a),first(a)),v)*. % 299.97/300.35 95433[16:Res:92031.1,5018.1] ordered_pair_predicate(u) || equal(complement(f2(u)),a)** equal(v,u)* -> member(a,first(v))*. % 299.97/300.35 95434[16:Res:92031.1,5063.1] ordered_pair_predicate(u) || equal(complement(f3(u)),a)** equal(v,u)* -> member(a,second(v))*. % 299.97/300.35 95723[16:SpL:92193.1,314.0] || equal(a,u) member(v,intersection(universal_set,complement(w)))* member(v,union(u,w))* -> . % 299.97/300.35 95825[16:SpL:92193.1,314.0] || equal(a,u) member(v,intersection(complement(w),universal_set))* member(v,union(w,u))* -> . % 299.97/300.35 96186[0:MRR:96152.0,96152.1,85.1,83.1] || member(u,f19(singleton_set(v)))* equal(w,v)* -> single_valued_set(singleton_set(v)) member(u,first(w))*. % 299.97/300.35 96187[0:MRR:96151.0,96151.1,85.1,83.1] || member(u,f21(singleton_set(v)))* equal(w,v)* -> single_valued_set(singleton_set(v)) member(u,second(w))*. % 299.97/300.35 96343[16:Res:3817.1,92502.1] || equal(a,u) -> equal(u,cross_product(v,w)) member(first(f1(u,cross_product(v,w))),v)*. % 299.97/300.35 96344[16:Res:3818.1,92502.1] || equal(a,u) -> equal(u,cross_product(v,w)) member(second(f1(u,cross_product(v,w))),w)*. % 299.97/300.35 96425[16:Res:3835.1,92502.1] || equal(a,u) -> equal(cross_product(v,w),u) member(first(f1(cross_product(v,w),u)),v)*. % 299.97/300.35 96426[16:Res:3836.1,92502.1] || equal(a,u) -> equal(cross_product(v,w),u) member(second(f1(cross_product(v,w),u)),w)*. % 299.97/300.35 96480[16:Res:5009.3,92502.1] little_set(u) little_set(v) || member(w,v)* equal(first(ordered_pair(v,u)),a)** -> . % 299.97/300.35 96481[16:Res:5054.3,92502.1] little_set(u) little_set(v) || member(w,u)* equal(second(ordered_pair(v,u)),a)** -> . % 299.97/300.35 96830[0:MRR:96797.0,96797.1,84.1,83.1] || member(u,f20(singleton_set(v)))* equal(w,v)* -> single_valued_set(singleton_set(v)) member(u,second(w))*. % 299.97/300.35 96958[0:Res:21407.1,68.0] ordered_pair_predicate(u) || member(converse(powerset(ordered_pair(second(u),first(u)))),v)* -> member(u,sigma(v)). % 299.97/300.35 97073[3:MRR:96986.0,6168.1] || disjoint(converse(powerset(ordered_pair(second(f17(u,v)),first(f17(u,v))))),u)* -> subset(u,v). % 299.97/300.35 97074[3:MRR:96985.0,6167.1] || disjoint(converse(powerset(ordered_pair(second(f23(u,v)),first(f23(u,v))))),v)* -> disjoint(u,v). % 299.97/300.35 97075[3:MRR:96984.0,6167.1] || disjoint(converse(powerset(ordered_pair(second(f23(u,v)),first(f23(u,v))))),u)* -> disjoint(u,v). % 299.97/300.35 97077[0:MRR:96948.0,106.1] || member(u,range_of(v)) -> member(f27(u,v),converse(powerset(ordered_pair(u,first(f27(u,v))))))*. % 299.97/300.35 97078[0:MRR:96943.0,37.1] || member(u,domain_of(v)) -> member(f8(u,v),converse(powerset(ordered_pair(second(f8(u,v)),u))))*. % 299.97/300.35 97627[0:Res:4258.0,2899.0] || -> equal(complement(domain_of(singleton_set(u))),universal_set) equal(f8(f1(complement(domain_of(singleton_set(u))),universal_set),singleton_set(u)),u)**. % 299.97/300.35 97629[2:Res:25246.0,2899.0] || -> equal(complement(domain_of(singleton_set(u))),universal_set) equal(f8(f1(universal_set,complement(domain_of(singleton_set(u)))),singleton_set(u)),u)**. % 299.97/300.35 97650[0:Res:954.2,2899.0] || subset(u,domain_of(singleton_set(v))) -> disjoint(u,w) equal(f8(f23(u,w),singleton_set(v)),v)**. % 299.97/300.35 97652[0:Res:961.2,2899.0] || subset(u,domain_of(singleton_set(v))) -> disjoint(w,u) equal(f8(f23(w,u),singleton_set(v)),v)**. % 299.97/300.35 97654[0:Res:395.0,2899.0] || -> subset(u,complement(domain_of(singleton_set(v)))) equal(f8(f17(u,complement(domain_of(singleton_set(v)))),singleton_set(v)),v)**. % 299.97/300.35 97655[0:Res:955.2,2899.0] || subset(u,domain_of(singleton_set(v))) -> subset(u,w) equal(f8(f17(u,w),singleton_set(v)),v)**. % 299.97/300.35 97657[0:Res:38.1,2899.0] || member(u,domain_of(domain_of(singleton_set(v)))) -> equal(f8(f8(u,domain_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 97659[0:Res:66.1,2899.0] || member(u,sigma(domain_of(singleton_set(v)))) -> equal(f8(f16(u,domain_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 97661[0:Res:107.1,2899.0] || member(u,range_of(domain_of(singleton_set(v)))) -> equal(f8(f27(u,domain_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 97675[0:Res:960.2,2899.0] || member(u,infinity) subset(infinity,domain_of(singleton_set(v))) -> equal(f8(successor(u),singleton_set(v)),v)**. % 299.97/300.35 97709[0:Res:46.1,2899.0] || member(u,converse(domain_of(singleton_set(v)))) -> equal(f8(ordered_pair(second(u),first(u)),singleton_set(v)),v)**. % 299.97/300.35 97840[0:Res:4258.0,2938.0] || -> equal(complement(sigma(singleton_set(u))),universal_set) equal(f16(f1(complement(sigma(singleton_set(u))),universal_set),singleton_set(u)),u)**. % 299.97/300.35 97842[2:Res:25246.0,2938.0] || -> equal(complement(sigma(singleton_set(u))),universal_set) equal(f16(f1(universal_set,complement(sigma(singleton_set(u)))),singleton_set(u)),u)**. % 299.97/300.35 97863[0:Res:954.2,2938.0] || subset(u,sigma(singleton_set(v))) -> disjoint(u,w) equal(f16(f23(u,w),singleton_set(v)),v)**. % 299.97/300.35 97865[0:Res:961.2,2938.0] || subset(u,sigma(singleton_set(v))) -> disjoint(w,u) equal(f16(f23(w,u),singleton_set(v)),v)**. % 299.97/300.35 97867[0:Res:395.0,2938.0] || -> subset(u,complement(sigma(singleton_set(v)))) equal(f16(f17(u,complement(sigma(singleton_set(v)))),singleton_set(v)),v)**. % 299.97/300.35 97868[0:Res:955.2,2938.0] || subset(u,sigma(singleton_set(v))) -> subset(u,w) equal(f16(f17(u,w),singleton_set(v)),v)**. % 299.97/300.35 97870[0:Res:38.1,2938.0] || member(u,domain_of(sigma(singleton_set(v)))) -> equal(f16(f8(u,sigma(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 97872[0:Res:66.1,2938.0] || member(u,sigma(sigma(singleton_set(v)))) -> equal(f16(f16(u,sigma(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 97874[0:Res:107.1,2938.0] || member(u,range_of(sigma(singleton_set(v)))) -> equal(f16(f27(u,sigma(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 97888[0:Res:960.2,2938.0] || member(u,infinity) subset(infinity,sigma(singleton_set(v))) -> equal(f16(successor(u),singleton_set(v)),v)**. % 299.97/300.35 97922[0:Res:46.1,2938.0] || member(u,converse(sigma(singleton_set(v)))) -> equal(f16(ordered_pair(second(u),first(u)),singleton_set(v)),v)**. % 299.97/300.35 97972[0:Res:1151.2,2938.0] || member(u,singleton_set(v)) -> single_valued_set(u) equal(f16(ordered_pair(f19(u),f21(u)),singleton_set(v)),v)**. % 299.97/300.35 97973[0:Res:1152.2,2938.0] || member(u,singleton_set(v)) -> single_valued_set(u) equal(f16(ordered_pair(f19(u),f20(u)),singleton_set(v)),v)**. % 299.97/300.35 98083[0:Res:4258.0,2959.0] || -> equal(complement(range_of(singleton_set(u))),universal_set) equal(f27(f1(complement(range_of(singleton_set(u))),universal_set),singleton_set(u)),u)**. % 299.97/300.35 98085[2:Res:25246.0,2959.0] || -> equal(complement(range_of(singleton_set(u))),universal_set) equal(f27(f1(universal_set,complement(range_of(singleton_set(u)))),singleton_set(u)),u)**. % 299.97/300.35 98106[0:Res:954.2,2959.0] || subset(u,range_of(singleton_set(v))) -> disjoint(u,w) equal(f27(f23(u,w),singleton_set(v)),v)**. % 299.97/300.35 98108[0:Res:961.2,2959.0] || subset(u,range_of(singleton_set(v))) -> disjoint(w,u) equal(f27(f23(w,u),singleton_set(v)),v)**. % 299.97/300.35 98110[0:Res:395.0,2959.0] || -> subset(u,complement(range_of(singleton_set(v)))) equal(f27(f17(u,complement(range_of(singleton_set(v)))),singleton_set(v)),v)**. % 299.97/300.35 98111[0:Res:955.2,2959.0] || subset(u,range_of(singleton_set(v))) -> subset(u,w) equal(f27(f17(u,w),singleton_set(v)),v)**. % 299.97/300.35 98113[0:Res:38.1,2959.0] || member(u,domain_of(range_of(singleton_set(v)))) -> equal(f27(f8(u,range_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 98115[0:Res:66.1,2959.0] || member(u,sigma(range_of(singleton_set(v)))) -> equal(f27(f16(u,range_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 98117[0:Res:107.1,2959.0] || member(u,range_of(range_of(singleton_set(v)))) -> equal(f27(f27(u,range_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.35 98131[0:Res:960.2,2959.0] || member(u,infinity) subset(infinity,range_of(singleton_set(v))) -> equal(f27(successor(u),singleton_set(v)),v)**. % 299.97/300.35 98165[0:Res:46.1,2959.0] || member(u,converse(range_of(singleton_set(v)))) -> equal(f27(ordered_pair(second(u),first(u)),singleton_set(v)),v)**. % 299.97/300.35 98373[0:Res:8090.0,98.0] || member(f17(complement(complement(u)),v),w)* disjoint(w,u) -> subset(complement(complement(u)),v). % 299.97/300.35 98374[0:Res:8090.0,68.0] || member(u,v) -> subset(complement(complement(u)),w) member(f17(complement(complement(u)),w),sigma(v))*. % 299.97/300.35 98378[0:Res:8090.0,42.0] || -> subset(complement(complement(cross_product(u,v))),w) member(first(f17(complement(complement(cross_product(u,v))),w)),u)*. % 299.97/300.35 98379[0:Res:8090.0,43.0] || -> subset(complement(complement(cross_product(u,v))),w) member(second(f17(complement(complement(cross_product(u,v))),w)),v)*. % 299.97/300.35 98381[0:Res:8090.0,4549.0] || equal(u,f17(complement(complement(flip_range_of(v))),w))* -> subset(complement(complement(flip_range_of(v))),w) ordered_pair_predicate(u)*. % 299.97/300.35 98385[0:Res:8090.0,4578.0] || equal(u,f17(complement(complement(rotate_right(v))),w))* -> subset(complement(complement(rotate_right(v))),w) ordered_pair_predicate(u)*. % 299.97/300.35 98419[2:Res:8090.0,25433.0] || subset(u,f17(complement(complement(image(u,v))),w))* -> subset(complement(complement(image(u,v))),w). % 299.97/300.35 98425[16:Res:8090.0,83606.1] || subset(f17(complement(complement(f24(powerset(u)))),v),u)* -> subset(complement(complement(f24(powerset(u)))),v). % 299.97/300.35 98458[16:Rew:57402.0,98361.1] || -> member(f17(complement(union(u,a)),v),intersection(complement(u),universal_set))* subset(complement(union(u,a)),v). % 299.97/300.35 98459[16:Rew:57520.0,98362.1] || -> member(f17(complement(union(a,u)),v),intersection(universal_set,complement(u)))* subset(complement(union(a,u)),v). % 299.97/300.35 98462[0:Obv:98428.1] || member(f17(complement(complement(u)),intersection(v,u)),v)* -> subset(complement(complement(u)),intersection(v,u)). % 299.97/300.35 98489[0:Res:9082.0,98.0] || member(f23(u,complement(complement(v))),w)* disjoint(w,v) -> disjoint(u,complement(complement(v))). % 299.97/300.35 98490[0:Res:9082.0,68.0] || member(u,v) -> disjoint(w,complement(complement(u))) member(f23(w,complement(complement(u))),sigma(v))*. % 299.97/300.35 98494[0:Res:9082.0,42.0] || -> disjoint(u,complement(complement(cross_product(v,w)))) member(first(f23(u,complement(complement(cross_product(v,w))))),v)*. % 299.97/300.35 98495[0:Res:9082.0,43.0] || -> disjoint(u,complement(complement(cross_product(v,w)))) member(second(f23(u,complement(complement(cross_product(v,w))))),w)*. % 299.97/300.35 98497[0:Res:9082.0,4549.0] || equal(u,f23(v,complement(complement(flip_range_of(w)))))* -> disjoint(v,complement(complement(flip_range_of(w)))) ordered_pair_predicate(u)*. % 299.97/300.35 98501[0:Res:9082.0,4578.0] || equal(u,f23(v,complement(complement(rotate_right(w)))))* -> disjoint(v,complement(complement(rotate_right(w)))) ordered_pair_predicate(u)*. % 299.97/300.35 98535[2:Res:9082.0,25433.0] || subset(u,f23(v,complement(complement(image(u,w)))))* -> disjoint(v,complement(complement(image(u,w)))). % 299.97/300.35 98541[16:Res:9082.0,83606.1] || subset(f23(u,complement(complement(f24(powerset(v))))),v)* -> disjoint(u,complement(complement(f24(powerset(v))))). % 299.97/300.35 98576[16:Rew:57402.0,98474.1] || -> member(f23(u,complement(union(v,a))),intersection(complement(v),universal_set))* disjoint(u,complement(union(v,a))). % 299.97/300.35 98577[16:Rew:57520.0,98475.1] || -> member(f23(u,complement(union(a,v))),intersection(universal_set,complement(v)))* disjoint(u,complement(union(a,v))). % 299.97/300.35 98679[0:Res:9151.0,98.0] || member(f23(complement(complement(u)),v),w)* disjoint(w,u) -> disjoint(complement(complement(u)),v). % 299.97/300.35 98680[0:Res:9151.0,68.0] || member(u,v) -> disjoint(complement(complement(u)),w) member(f23(complement(complement(u)),w),sigma(v))*. % 299.97/300.35 98684[0:Res:9151.0,42.0] || -> disjoint(complement(complement(cross_product(u,v))),w) member(first(f23(complement(complement(cross_product(u,v))),w)),u)*. % 299.97/300.35 98685[0:Res:9151.0,43.0] || -> disjoint(complement(complement(cross_product(u,v))),w) member(second(f23(complement(complement(cross_product(u,v))),w)),v)*. % 299.97/300.35 98687[0:Res:9151.0,4549.0] || equal(u,f23(complement(complement(flip_range_of(v))),w))* -> disjoint(complement(complement(flip_range_of(v))),w) ordered_pair_predicate(u)*. % 299.97/300.35 98691[0:Res:9151.0,4578.0] || equal(u,f23(complement(complement(rotate_right(v))),w))* -> disjoint(complement(complement(rotate_right(v))),w) ordered_pair_predicate(u)*. % 299.97/300.35 98725[2:Res:9151.0,25433.0] || subset(u,f23(complement(complement(image(u,v))),w))* -> disjoint(complement(complement(image(u,v))),w). % 299.97/300.35 98731[16:Res:9151.0,83606.1] || subset(f23(complement(complement(f24(powerset(u)))),v),u)* -> disjoint(complement(complement(f24(powerset(u)))),v). % 299.97/300.35 98766[16:Rew:57402.0,98664.1] || -> member(f23(complement(union(u,a)),v),intersection(complement(u),universal_set))* disjoint(complement(union(u,a)),v). % 299.97/300.35 98767[16:Rew:57520.0,98665.1] || -> member(f23(complement(union(a,u)),v),intersection(universal_set,complement(u)))* disjoint(complement(union(a,u)),v). % 299.97/300.35 99201[16:Res:5009.3,98786.1] little_set(u) little_set(v) || member(a,v) disjoint(set_b,first(ordered_pair(v,u)))* -> . % 299.97/300.35 99202[16:Res:5054.3,98786.1] little_set(u) little_set(v) || member(a,u) disjoint(set_b,second(ordered_pair(v,u)))* -> . % 299.97/300.35 99268[0:SpR:36.0,18201.1] ordered_pair_predicate(u) || -> member(u,converse(union(v,w))) member(u,converse(intersection(complement(v),complement(w))))*. % 299.97/300.35 99281[0:Res:18201.1,68.0] ordered_pair_predicate(u) || member(converse(complement(v)),w)* -> member(u,converse(v))* member(u,sigma(w))*. % 299.97/300.35 99448[16:MRR:99327.0,55068.2] little_set(u) || disjoint(converse(complement(v)),u) -> member(f26(u),converse(v))* equal(u,a). % 299.97/300.35 99450[0:MRR:99341.0,106.1] || member(u,range_of(v)) disjoint(converse(complement(w)),v) -> member(f27(u,v),converse(w))*. % 299.97/300.35 99451[3:MRR:99340.0,6173.1] || member(u,sigma(v)) -> member(f16(u,v),converse(w))* member(u,sigma(converse(complement(w)))). % 299.97/300.35 99452[3:MRR:99339.0,6173.1] || member(u,sigma(v)) disjoint(converse(complement(w)),v) -> member(f16(u,v),converse(w))*. % 299.97/300.35 99453[0:MRR:99338.0,37.1] || member(u,domain_of(v)) disjoint(converse(complement(w)),v) -> member(f8(u,v),converse(w))*. % 299.97/300.35 99464[3:SSi:99351.0,18197.0,371.1] ordered_pair_predicate(u) || -> member(ordered_pair(second(u),first(u)),converse(v))* member(u,converse(converse(complement(v)))). % 299.97/300.35 99470[0:MRR:99320.0,106.1] || member(u,range_of(complement(converse(complement(v))))) -> member(f27(u,complement(converse(complement(v)))),converse(v))*. % 299.97/300.35 99471[3:MRR:99319.0,6173.1] || member(u,sigma(complement(converse(complement(v))))) -> member(f16(u,complement(converse(complement(v)))),converse(v))*. % 299.97/300.35 99472[0:MRR:99318.0,37.1] || member(u,domain_of(complement(converse(complement(v))))) -> member(f8(u,complement(converse(complement(v)))),converse(v))*. % 299.97/300.35 99596[0:Res:22366.2,98.0] ordered_pair_predicate(u) || member(v,f2(u))* member(v,w)* disjoint(w,first(u))* -> . % 299.97/300.35 99597[0:Res:22366.2,68.0] ordered_pair_predicate(u) || member(v,f2(u))* member(first(u),w)* -> member(v,sigma(w))*. % 299.97/300.35 99613[0:Res:22366.2,257.0] ordered_pair_predicate(u) || member(f17(complement(first(u)),v),f2(u))* -> subset(complement(first(u)),v). % 299.97/300.35 99614[0:Res:22366.2,256.0] ordered_pair_predicate(u) || member(f23(complement(first(u)),v),f2(u))* -> disjoint(complement(first(u)),v). % 299.97/300.35 99620[16:Res:22366.2,58983.0] ordered_pair_predicate(u) || member(f1(complement(first(u)),a),f2(u))* -> equal(complement(first(u)),a). % 299.97/300.35 99621[16:Res:22366.2,58984.0] ordered_pair_predicate(u) || member(f1(a,complement(first(u))),f2(u))* -> equal(complement(first(u)),a). % 299.97/300.35 99623[16:Res:22366.2,57904.0] ordered_pair_predicate(u) || member(complement(sigma(first(u))),f2(u))* -> equal(complement(sigma(first(u))),a). % 299.97/300.35 99628[0:Res:22366.2,260.0] ordered_pair_predicate(u) || member(f23(v,complement(first(u))),f2(u))* -> disjoint(v,complement(first(u))). % 299.97/300.35 99638[16:Res:22366.2,55063.0] ordered_pair_predicate(u) || member(f24(v),f2(u))* disjoint(first(u),v) -> equal(v,a). % 299.97/300.35 99739[0:MRR:99589.0,117.1] || member(u,apply(v,w)) member(x,f2(f28(u,v,w)))* -> member(x,w). % 299.97/300.35 99789[0:Res:22612.2,98.0] ordered_pair_predicate(u) || member(v,f3(u))* member(v,w)* disjoint(w,second(u))* -> . % 299.97/300.35 99790[0:Res:22612.2,68.0] ordered_pair_predicate(u) || member(v,f3(u))* member(second(u),w)* -> member(v,sigma(w))*. % 299.97/300.35 99807[0:Res:22612.2,257.0] ordered_pair_predicate(u) || member(f17(complement(second(u)),v),f3(u))* -> subset(complement(second(u)),v). % 299.97/300.35 99808[0:Res:22612.2,256.0] ordered_pair_predicate(u) || member(f23(complement(second(u)),v),f3(u))* -> disjoint(complement(second(u)),v). % 299.97/300.35 99814[16:Res:22612.2,58983.0] ordered_pair_predicate(u) || member(f1(complement(second(u)),a),f3(u))* -> equal(complement(second(u)),a). % 299.97/300.35 99815[16:Res:22612.2,58984.0] ordered_pair_predicate(u) || member(f1(a,complement(second(u))),f3(u))* -> equal(complement(second(u)),a). % 299.97/300.35 99817[16:Res:22612.2,57904.0] ordered_pair_predicate(u) || member(complement(sigma(second(u))),f3(u))* -> equal(complement(sigma(second(u))),a). % 299.97/300.35 99822[0:Res:22612.2,260.0] ordered_pair_predicate(u) || member(f23(v,complement(second(u))),f3(u))* -> disjoint(v,complement(second(u))). % 299.97/300.35 99832[16:Res:22612.2,55063.0] ordered_pair_predicate(u) || member(f24(v),f3(u))* disjoint(second(u),v) -> equal(v,a). % 299.97/300.35 99939[0:MRR:99782.0,92.1] || member(u,image(v,w)) member(x,f3(f22(u,v,w)))* -> member(x,u). % 299.97/300.35 99979[16:Res:59019.2,98.0] || subset(u,v)* member(f1(u,a),w)* disjoint(w,v)* -> equal(u,a). % 299.97/300.35 99980[16:Res:59019.2,68.0] || subset(u,v)* member(v,w)* -> equal(u,a) member(f1(u,a),sigma(w))*. % 299.97/300.35 99993[16:Res:59019.2,4238.0] || subset(u,compose(v,w))* equal(x,f1(u,a))* -> equal(u,a) ordered_pair_predicate(x)*. % 299.97/300.35 100013[16:Res:59019.2,2899.0] || subset(u,domain_of(singleton_set(v))) -> equal(u,a) equal(f8(f1(u,a),singleton_set(v)),v)**. % 299.97/300.35 100017[16:Res:59019.2,2959.0] || subset(u,range_of(singleton_set(v))) -> equal(u,a) equal(f27(f1(u,a),singleton_set(v)),v)**. % 299.97/300.35 100058[16:Res:59019.2,2938.0] || subset(u,sigma(singleton_set(v))) -> equal(u,a) equal(f16(f1(u,a),singleton_set(v)),v)**. % 299.97/300.35 100174[0:Res:98305.0,4116.1] ordered_pair_predicate(u) || -> member(v,ordered_pair(second(u),first(u)))* member(u,converse(powerset(complement(singleton_set(v)))))*. % 299.97/300.35 100187[0:Res:98305.0,1104.2] little_set(u) || equal(u,v)* -> member(w,non_ordered_pair(v,x))* member(u,complement(singleton_set(w)))*. % 299.97/300.35 100188[0:Res:98305.0,1081.2] little_set(u) || equal(u,v)* -> member(w,non_ordered_pair(x,v))* member(u,complement(singleton_set(w)))*. % 299.97/300.35 100261[16:Res:56165.2,56181.0] || subset(u,powerset(v))* disjoint(v,f24(u)) -> equal(u,a) equal(f24(u),a). % 299.97/300.35 100270[16:Res:56165.2,58999.0] || subset(u,powerset(cross_product(set_a,set_b)))* member(singleton_set(singleton_set(a)),f24(u)) -> equal(u,a). % 299.97/300.35 100419[16:Res:92484.0,56166.0] || -> equal(f24(complement(complement(powerset(singleton_set(u))))),a) equal(f24(f24(complement(complement(powerset(singleton_set(u)))))),u)**. % 299.97/300.35 100592[16:Res:59021.2,98.0] || subset(u,v)* member(f1(a,u),w)* disjoint(w,v)* -> equal(a,u). % 299.97/300.35 100593[16:Res:59021.2,68.0] || subset(u,v)* member(v,w)* -> equal(a,u) member(f1(a,u),sigma(w))*. % 299.97/300.35 100606[16:Res:59021.2,4238.0] || subset(u,compose(v,w))* equal(x,f1(a,u))* -> equal(a,u) ordered_pair_predicate(x)*. % 299.97/300.35 100626[16:Res:59021.2,2899.0] || subset(u,domain_of(singleton_set(v))) -> equal(a,u) equal(f8(f1(a,u),singleton_set(v)),v)**. % 299.97/300.35 100630[16:Res:59021.2,2959.0] || subset(u,range_of(singleton_set(v))) -> equal(a,u) equal(f27(f1(a,u),singleton_set(v)),v)**. % 299.97/300.35 100676[16:Res:59021.2,2938.0] || subset(u,sigma(singleton_set(v))) -> equal(a,u) equal(f16(f1(a,u),singleton_set(v)),v)**. % 299.97/300.35 100752[16:Res:59048.1,98.0] || member(f1(intersection(u,v),a),w)* disjoint(w,u) -> equal(intersection(u,v),a). % 299.97/300.35 100753[16:Res:59048.1,68.0] || member(u,v) -> equal(intersection(u,w),a) member(f1(intersection(u,w),a),sigma(v))*. % 299.97/300.35 100757[16:Res:59048.1,42.0] || -> equal(intersection(cross_product(u,v),w),a) member(first(f1(intersection(cross_product(u,v),w),a)),u)*. % 299.97/300.35 100758[16:Res:59048.1,43.0] || -> equal(intersection(cross_product(u,v),w),a) member(second(f1(intersection(cross_product(u,v),w),a)),v)*. % 299.97/300.35 100760[16:Res:59048.1,4549.0] || equal(u,f1(intersection(flip_range_of(v),w),a))* -> equal(intersection(flip_range_of(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 100764[16:Res:59048.1,4578.0] || equal(u,f1(intersection(rotate_right(v),w),a))* -> equal(intersection(rotate_right(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 100798[16:Res:59048.1,25433.0] || subset(u,f1(intersection(image(u,v),w),a))* -> equal(intersection(image(u,v),w),a). % 299.97/300.35 100804[16:Res:59048.1,83606.1] || subset(f1(intersection(f24(powerset(u)),v),a),u)* -> equal(intersection(f24(powerset(u)),v),a). % 299.97/300.35 100869[16:Res:59049.1,98.0] || member(f1(intersection(u,v),a),w)* disjoint(w,v) -> equal(intersection(u,v),a). % 299.97/300.35 100870[16:Res:59049.1,68.0] || member(u,v) -> equal(intersection(w,u),a) member(f1(intersection(w,u),a),sigma(v))*. % 299.97/300.35 100874[16:Res:59049.1,42.0] || -> equal(intersection(u,cross_product(v,w)),a) member(first(f1(intersection(u,cross_product(v,w)),a)),v)*. % 299.97/300.35 100875[16:Res:59049.1,43.0] || -> equal(intersection(u,cross_product(v,w)),a) member(second(f1(intersection(u,cross_product(v,w)),a)),w)*. % 299.97/300.35 100877[16:Res:59049.1,4549.0] || equal(u,f1(intersection(v,flip_range_of(w)),a))* -> equal(intersection(v,flip_range_of(w)),a) ordered_pair_predicate(u)*. % 299.97/300.35 100881[16:Res:59049.1,4578.0] || equal(u,f1(intersection(v,rotate_right(w)),a))* -> equal(intersection(v,rotate_right(w)),a) ordered_pair_predicate(u)*. % 299.97/300.35 100915[16:Res:59049.1,25433.0] || subset(u,f1(intersection(v,image(u,w)),a))* -> equal(intersection(v,image(u,w)),a). % 299.97/300.35 100921[16:Res:59049.1,83606.1] || subset(f1(intersection(u,f24(powerset(v))),a),v)* -> equal(intersection(u,f24(powerset(v))),a). % 299.97/300.35 100970[16:Res:59050.1,98.0] || member(f1(a,intersection(u,v)),w)* disjoint(w,u) -> equal(intersection(u,v),a). % 299.97/300.35 100971[16:Res:59050.1,68.0] || member(u,v) -> equal(intersection(u,w),a) member(f1(a,intersection(u,w)),sigma(v))*. % 299.97/300.35 100975[16:Res:59050.1,42.0] || -> equal(intersection(cross_product(u,v),w),a) member(first(f1(a,intersection(cross_product(u,v),w))),u)*. % 299.97/300.35 100976[16:Res:59050.1,43.0] || -> equal(intersection(cross_product(u,v),w),a) member(second(f1(a,intersection(cross_product(u,v),w))),v)*. % 299.97/300.35 100978[16:Res:59050.1,4549.0] || equal(u,f1(a,intersection(flip_range_of(v),w)))* -> equal(intersection(flip_range_of(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 100982[16:Res:59050.1,4578.0] || equal(u,f1(a,intersection(rotate_right(v),w)))* -> equal(intersection(rotate_right(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 101016[16:Res:59050.1,25433.0] || subset(u,f1(a,intersection(image(u,v),w)))* -> equal(intersection(image(u,v),w),a). % 299.97/300.35 101022[16:Res:59050.1,83606.1] || subset(f1(a,intersection(f24(powerset(u)),v)),u)* -> equal(intersection(f24(powerset(u)),v),a). % 299.97/300.35 101109[16:Res:59051.1,98.0] || member(f1(a,intersection(u,v)),w)* disjoint(w,v) -> equal(intersection(u,v),a). % 299.97/300.35 101110[16:Res:59051.1,68.0] || member(u,v) -> equal(intersection(w,u),a) member(f1(a,intersection(w,u)),sigma(v))*. % 299.97/300.35 101114[16:Res:59051.1,42.0] || -> equal(intersection(u,cross_product(v,w)),a) member(first(f1(a,intersection(u,cross_product(v,w)))),v)*. % 299.97/300.35 101115[16:Res:59051.1,43.0] || -> equal(intersection(u,cross_product(v,w)),a) member(second(f1(a,intersection(u,cross_product(v,w)))),w)*. % 299.97/300.35 101117[16:Res:59051.1,4549.0] || equal(u,f1(a,intersection(v,flip_range_of(w))))* -> equal(intersection(v,flip_range_of(w)),a) ordered_pair_predicate(u)*. % 299.97/300.35 101121[16:Res:59051.1,4578.0] || equal(u,f1(a,intersection(v,rotate_right(w))))* -> equal(intersection(v,rotate_right(w)),a) ordered_pair_predicate(u)*. % 299.97/300.35 101155[16:Res:59051.1,25433.0] || subset(u,f1(a,intersection(v,image(u,w))))* -> equal(intersection(v,image(u,w)),a). % 299.97/300.35 101161[16:Res:59051.1,83606.1] || subset(f1(a,intersection(u,f24(powerset(v)))),v)* -> equal(intersection(u,f24(powerset(v))),a). % 299.97/300.35 101303[16:Res:59052.1,98.0] || member(f1(restrict(u,v),a),w)* disjoint(w,u) -> equal(restrict(u,v),a). % 299.97/300.35 101304[16:Res:59052.1,68.0] || member(u,v) -> equal(restrict(u,w),a) member(f1(restrict(u,w),a),sigma(v))*. % 299.97/300.35 101308[16:Res:59052.1,42.0] || -> equal(restrict(cross_product(u,v),w),a) member(first(f1(restrict(cross_product(u,v),w),a)),u)*. % 299.97/300.35 101309[16:Res:59052.1,43.0] || -> equal(restrict(cross_product(u,v),w),a) member(second(f1(restrict(cross_product(u,v),w),a)),v)*. % 299.97/300.35 101311[16:Res:59052.1,4549.0] || equal(u,f1(restrict(flip_range_of(v),w),a))* -> equal(restrict(flip_range_of(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 101315[16:Res:59052.1,4578.0] || equal(u,f1(restrict(rotate_right(v),w),a))* -> equal(restrict(rotate_right(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 101349[16:Res:59052.1,25433.0] || subset(u,f1(restrict(image(u,v),w),a))* -> equal(restrict(image(u,v),w),a). % 299.97/300.35 101355[16:Res:59052.1,83606.1] || subset(f1(restrict(f24(powerset(u)),v),a),u)* -> equal(restrict(f24(powerset(u)),v),a). % 299.97/300.35 101483[16:Res:5009.3,101072.1] little_set(u) little_set(v) || member(a,v) disjoint(set_a,first(ordered_pair(v,u)))* -> . % 299.97/300.35 101484[16:Res:5054.3,101072.1] little_set(u) little_set(v) || member(a,u) disjoint(set_a,second(ordered_pair(v,u)))* -> . % 299.97/300.35 101563[16:Res:59053.1,98.0] || member(f1(a,restrict(u,v)),w)* disjoint(w,u) -> equal(restrict(u,v),a). % 299.97/300.35 101564[16:Res:59053.1,68.0] || member(u,v) -> equal(restrict(u,w),a) member(f1(a,restrict(u,w)),sigma(v))*. % 299.97/300.35 101568[16:Res:59053.1,42.0] || -> equal(restrict(cross_product(u,v),w),a) member(first(f1(a,restrict(cross_product(u,v),w))),u)*. % 299.97/300.35 101569[16:Res:59053.1,43.0] || -> equal(restrict(cross_product(u,v),w),a) member(second(f1(a,restrict(cross_product(u,v),w))),v)*. % 299.97/300.35 101571[16:Res:59053.1,4549.0] || equal(u,f1(a,restrict(flip_range_of(v),w)))* -> equal(restrict(flip_range_of(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 101575[16:Res:59053.1,4578.0] || equal(u,f1(a,restrict(rotate_right(v),w)))* -> equal(restrict(rotate_right(v),w),a) ordered_pair_predicate(u)*. % 299.97/300.35 101609[16:Res:59053.1,25433.0] || subset(u,f1(a,restrict(image(u,v),w)))* -> equal(restrict(image(u,v),w),a). % 299.97/300.35 101615[16:Res:59053.1,83606.1] || subset(f1(a,restrict(f24(powerset(u)),v)),u)* -> equal(restrict(f24(powerset(u)),v),a). % 299.97/300.35 101692[16:Res:57867.1,98.0] || disjoint(complement(u),v)* member(f24(v),w)* disjoint(w,u)* -> equal(v,a). % 299.97/300.35 101693[16:Res:57867.1,68.0] || disjoint(complement(u),v)* member(u,w)* -> equal(v,a) member(f24(v),sigma(w))*. % 299.97/300.35 101706[16:Res:57867.1,4238.0] || disjoint(complement(compose(u,v)),w)* equal(x,f24(w))* -> equal(w,a) ordered_pair_predicate(x)*. % 299.97/300.35 101712[16:Res:57867.1,6176.0] || disjoint(complement(converse(u)),v)* -> equal(v,a) ordered_pair_predicate(ordered_pair(second(f24(v)),first(f24(v))))*. % 299.97/300.35 101726[16:Res:57867.1,2899.0] || disjoint(complement(domain_of(singleton_set(u))),v)* -> equal(v,a) equal(f8(f24(v),singleton_set(u)),u). % 299.97/300.35 101730[16:Res:57867.1,2959.0] || disjoint(complement(range_of(singleton_set(u))),v)* -> equal(v,a) equal(f27(f24(v),singleton_set(u)),u). % 299.97/300.35 101768[16:Res:57867.1,2938.0] || disjoint(complement(sigma(singleton_set(u))),v)* -> equal(v,a) equal(f16(f24(v),singleton_set(u)),u). % 299.97/300.35 101833[0:Res:3813.2,98.0] || disjoint(u,universal_set) member(f1(v,u),w)* disjoint(w,v) -> equal(v,u). % 299.97/300.35 101834[0:Res:3813.2,68.0] || disjoint(u,universal_set) member(v,w) -> equal(v,u) member(f1(v,u),sigma(w))*. % 299.97/300.35 101841[0:Res:3813.2,4549.0] || disjoint(u,universal_set) equal(v,f1(flip_range_of(w),u))* -> equal(flip_range_of(w),u) ordered_pair_predicate(v)*. % 299.97/300.35 101845[0:Res:3813.2,4578.0] || disjoint(u,universal_set) equal(v,f1(rotate_right(w),u))* -> equal(rotate_right(w),u) ordered_pair_predicate(v)*. % 299.97/300.35 101879[2:Res:3813.2,25433.0] || disjoint(u,universal_set) subset(v,f1(image(v,w),u))* -> equal(image(v,w),u). % 299.97/300.35 101885[16:Res:3813.2,83606.1] || disjoint(u,universal_set) subset(f1(f24(powerset(v)),u),v)* -> equal(f24(powerset(v)),u). % 299.97/300.35 101967[0:Res:3831.2,98.0] || disjoint(u,universal_set) member(f1(u,v),w)* disjoint(w,v) -> equal(u,v). % 299.97/300.35 101968[0:Res:3831.2,68.0] || disjoint(u,universal_set) member(v,w) -> equal(u,v) member(f1(u,v),sigma(w))*. % 299.97/300.35 101975[0:Res:3831.2,4549.0] || disjoint(u,universal_set) equal(v,f1(u,flip_range_of(w)))* -> equal(u,flip_range_of(w)) ordered_pair_predicate(v)*. % 299.97/300.35 101979[0:Res:3831.2,4578.0] || disjoint(u,universal_set) equal(v,f1(u,rotate_right(w)))* -> equal(u,rotate_right(w)) ordered_pair_predicate(v)*. % 299.97/300.35 102013[2:Res:3831.2,25433.0] || disjoint(u,universal_set) subset(v,f1(u,image(v,w)))* -> equal(u,image(v,w)). % 299.97/300.35 102019[16:Res:3831.2,83606.1] || disjoint(u,universal_set) subset(f1(u,f24(powerset(v))),v)* -> equal(u,f24(powerset(v))). % 299.97/300.35 102614[16:Res:5009.3,102359.1] little_set(u) little_set(v) || member(a,v) disjoint(infinity,first(ordered_pair(v,u)))* -> . % 299.97/300.35 102615[16:Res:5054.3,102359.1] little_set(u) little_set(v) || member(a,u) disjoint(infinity,second(ordered_pair(v,u)))* -> . % 299.97/300.35 103552[16:Res:55074.1,16184.0] || -> equal(domain_of(intersection(cross_product(u,v),w)),a) member(f24(domain_of(intersection(cross_product(u,v),w))),u)*. % 299.97/300.35 103556[16:Res:57867.1,16184.0] || disjoint(complement(domain_of(intersection(cross_product(u,v),w))),x)* -> equal(x,a) member(f24(x),u). % 299.97/300.35 103569[0:Res:954.2,16184.0] || subset(u,domain_of(intersection(cross_product(v,w),x)))* -> disjoint(u,y) member(f23(u,y),v)*. % 299.97/300.35 103571[0:Res:961.2,16184.0] || subset(u,domain_of(intersection(cross_product(v,w),x)))* -> disjoint(y,u) member(f23(y,u),v)*. % 299.97/300.35 103574[0:Res:955.2,16184.0] || subset(u,domain_of(intersection(cross_product(v,w),x)))* -> subset(u,y) member(f17(u,y),v)*. % 299.97/300.35 103588[16:Res:59019.2,16184.0] || subset(u,domain_of(intersection(cross_product(v,w),x)))* -> equal(u,a) member(f1(u,a),v). % 299.97/300.35 103589[16:Res:59021.2,16184.0] || subset(u,domain_of(intersection(cross_product(v,w),x)))* -> equal(a,u) member(f1(a,u),v). % 299.97/300.35 103600[0:Res:960.2,16184.0] || member(u,infinity) subset(infinity,domain_of(intersection(cross_product(v,w),x)))* -> member(successor(u),v)*. % 299.97/300.35 103634[0:Res:46.1,16184.0] || member(u,converse(domain_of(intersection(cross_product(v,w),x))))* -> member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.35 103794[16:Res:55074.1,16416.0] || -> equal(domain_of(intersection(u,cross_product(v,w))),a) member(f24(domain_of(intersection(u,cross_product(v,w)))),v)*. % 299.97/300.35 103798[16:Res:57867.1,16416.0] || disjoint(complement(domain_of(intersection(u,cross_product(v,w)))),x)* -> equal(x,a) member(f24(x),v). % 299.97/300.35 103811[0:Res:954.2,16416.0] || subset(u,domain_of(intersection(v,cross_product(w,x))))* -> disjoint(u,y) member(f23(u,y),w)*. % 299.97/300.35 103813[0:Res:961.2,16416.0] || subset(u,domain_of(intersection(v,cross_product(w,x))))* -> disjoint(y,u) member(f23(y,u),w)*. % 299.97/300.35 103816[0:Res:955.2,16416.0] || subset(u,domain_of(intersection(v,cross_product(w,x))))* -> subset(u,y) member(f17(u,y),w)*. % 299.97/300.35 103830[16:Res:59019.2,16416.0] || subset(u,domain_of(intersection(v,cross_product(w,x))))* -> equal(u,a) member(f1(u,a),w). % 299.97/300.35 103831[16:Res:59021.2,16416.0] || subset(u,domain_of(intersection(v,cross_product(w,x))))* -> equal(a,u) member(f1(a,u),w). % 299.97/300.35 103842[0:Res:960.2,16416.0] || member(u,infinity) subset(infinity,domain_of(intersection(v,cross_product(w,x))))* -> member(successor(u),w)*. % 299.97/300.35 103876[0:Res:46.1,16416.0] || member(u,converse(domain_of(intersection(v,cross_product(w,x)))))* -> member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.35 104039[16:Res:55074.1,17439.0] || -> equal(range_of(intersection(cross_product(u,v),w)),a) member(f24(range_of(intersection(cross_product(u,v),w))),v)*. % 299.97/300.35 104043[16:Res:57867.1,17439.0] || disjoint(complement(range_of(intersection(cross_product(u,v),w))),x)* -> equal(x,a) member(f24(x),v). % 299.97/300.35 104056[0:Res:954.2,17439.0] || subset(u,range_of(intersection(cross_product(v,w),x)))* -> disjoint(u,y) member(f23(u,y),w)*. % 299.97/300.35 104058[0:Res:961.2,17439.0] || subset(u,range_of(intersection(cross_product(v,w),x)))* -> disjoint(y,u) member(f23(y,u),w)*. % 299.97/300.35 104061[0:Res:955.2,17439.0] || subset(u,range_of(intersection(cross_product(v,w),x)))* -> subset(u,y) member(f17(u,y),w)*. % 299.97/300.35 104075[16:Res:59019.2,17439.0] || subset(u,range_of(intersection(cross_product(v,w),x)))* -> equal(u,a) member(f1(u,a),w). % 299.97/300.35 104076[16:Res:59021.2,17439.0] || subset(u,range_of(intersection(cross_product(v,w),x)))* -> equal(a,u) member(f1(a,u),w). % 299.97/300.35 104087[0:Res:960.2,17439.0] || member(u,infinity) subset(infinity,range_of(intersection(cross_product(v,w),x)))* -> member(successor(u),w)*. % 299.97/300.35 104121[0:Res:46.1,17439.0] || member(u,converse(range_of(intersection(cross_product(v,w),x))))* -> member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.35 104316[16:Res:55074.1,17546.0] || -> equal(range_of(intersection(u,cross_product(v,w))),a) member(f24(range_of(intersection(u,cross_product(v,w)))),w)*. % 299.97/300.35 104320[16:Res:57867.1,17546.0] || disjoint(complement(range_of(intersection(u,cross_product(v,w)))),x)* -> equal(x,a) member(f24(x),w). % 299.97/300.35 104333[0:Res:954.2,17546.0] || subset(u,range_of(intersection(v,cross_product(w,x))))* -> disjoint(u,y) member(f23(u,y),x)*. % 299.97/300.35 104335[0:Res:961.2,17546.0] || subset(u,range_of(intersection(v,cross_product(w,x))))* -> disjoint(y,u) member(f23(y,u),x)*. % 299.97/300.35 104338[0:Res:955.2,17546.0] || subset(u,range_of(intersection(v,cross_product(w,x))))* -> subset(u,y) member(f17(u,y),x)*. % 299.97/300.35 104352[16:Res:59019.2,17546.0] || subset(u,range_of(intersection(v,cross_product(w,x))))* -> equal(u,a) member(f1(u,a),x). % 299.97/300.35 104353[16:Res:59021.2,17546.0] || subset(u,range_of(intersection(v,cross_product(w,x))))* -> equal(a,u) member(f1(a,u),x). % 299.97/300.35 104364[0:Res:960.2,17546.0] || member(u,infinity) subset(infinity,range_of(intersection(v,cross_product(w,x))))* -> member(successor(u),x)*. % 299.97/300.35 104398[0:Res:46.1,17546.0] || member(u,converse(range_of(intersection(v,cross_product(w,x)))))* -> member(ordered_pair(second(u),first(u)),x)*. % 299.97/300.35 104555[0:Res:18826.1,68.0] little_set(u) || member(union(v,w),x)* -> member(u,complement(v))* member(u,sigma(x))*. % 299.97/300.35 104713[0:Rew:36.0,104546.2] little_set(u) || -> member(u,complement(intersection(union(v,w),complement(x))))* member(u,union(v,w)). % 299.97/300.35 104714[16:MRR:104600.0,55067.2] little_set(u) || disjoint(union(v,w),u)* -> member(f26(u),complement(v))* equal(u,a). % 299.97/300.35 104716[0:MRR:104617.0,18.1] || member(u,first(v)) -> member(f4(u,v),complement(w))* member(u,sigma(union(w,x)))*. % 299.97/300.35 104717[0:MRR:104616.0,24.1] || member(u,second(v)) -> member(f7(u,v),complement(w))* member(u,sigma(union(w,x)))*. % 299.97/300.35 104718[0:MRR:104614.0,420.1] || member(u,range_of(v)) disjoint(union(w,x),v)* -> member(f27(u,v),complement(w))*. % 299.97/300.35 104719[0:MRR:104613.0,449.1] || member(u,sigma(v)) -> member(f16(u,v),complement(w))* member(u,sigma(union(w,x)))*. % 299.97/300.35 104720[0:MRR:104612.0,449.1] || member(u,sigma(v)) disjoint(union(w,x),v)* -> member(f16(u,v),complement(w))*. % 299.97/300.35 104721[0:MRR:104611.0,487.1] || member(u,domain_of(v)) disjoint(union(w,x),v)* -> member(f8(u,v),complement(w))*. % 299.97/300.35 104732[3:SSi:104624.0,18197.0,371.1] ordered_pair_predicate(u) || -> member(ordered_pair(second(u),first(u)),complement(v))* member(u,converse(union(v,w)))*. % 299.97/300.35 104738[0:MRR:104593.0,420.1] || member(u,range_of(complement(union(v,w)))) -> member(f27(u,complement(union(v,w))),complement(v))*. % 299.97/300.35 104739[0:MRR:104592.0,449.1] || member(u,sigma(complement(union(v,w)))) -> member(f16(u,complement(union(v,w))),complement(v))*. % 299.97/300.35 104740[0:MRR:104591.0,487.1] || member(u,domain_of(complement(union(v,w)))) -> member(f8(u,complement(union(v,w))),complement(v))*. % 299.97/300.35 104899[0:Res:18827.1,68.0] little_set(u) || member(union(v,w),x)* -> member(u,complement(w))* member(u,sigma(x))*. % 299.97/300.35 105059[0:Rew:36.0,104883.2] little_set(u) || -> member(u,complement(intersection(complement(v),union(w,x))))* member(u,union(w,x)). % 299.97/300.35 105060[16:MRR:104944.0,55067.2] little_set(u) || disjoint(union(v,w),u)* -> member(f26(u),complement(w))* equal(u,a). % 299.97/300.35 105062[0:MRR:104961.0,18.1] || member(u,first(v)) -> member(f4(u,v),complement(w))* member(u,sigma(union(x,w)))*. % 299.97/300.35 105063[0:MRR:104960.0,24.1] || member(u,second(v)) -> member(f7(u,v),complement(w))* member(u,sigma(union(x,w)))*. % 299.97/300.35 105064[0:MRR:104958.0,420.1] || member(u,range_of(v)) disjoint(union(w,x),v)* -> member(f27(u,v),complement(x))*. % 299.97/300.35 105065[0:MRR:104957.0,449.1] || member(u,sigma(v)) -> member(f16(u,v),complement(w))* member(u,sigma(union(x,w)))*. % 299.97/300.35 105066[0:MRR:104956.0,449.1] || member(u,sigma(v)) disjoint(union(w,x),v)* -> member(f16(u,v),complement(x))*. % 299.97/300.35 105067[0:MRR:104955.0,487.1] || member(u,domain_of(v)) disjoint(union(w,x),v)* -> member(f8(u,v),complement(x))*. % 299.97/300.35 105078[3:SSi:104968.0,18197.0,371.1] ordered_pair_predicate(u) || -> member(ordered_pair(second(u),first(u)),complement(v))* member(u,converse(union(w,v)))*. % 299.97/300.35 105084[0:MRR:104937.0,420.1] || member(u,range_of(complement(union(v,w)))) -> member(f27(u,complement(union(v,w))),complement(w))*. % 299.97/300.35 105085[0:MRR:104936.0,449.1] || member(u,sigma(complement(union(v,w)))) -> member(f16(u,complement(union(v,w))),complement(w))*. % 299.97/300.35 105086[0:MRR:104935.0,487.1] || member(u,domain_of(complement(union(v,w)))) -> member(f8(u,complement(union(v,w))),complement(w))*. % 299.97/300.35 105241[0:Res:71.1,26698.0] || -> subset(apply(cross_product(u,v),w),x) member(f17(apply(cross_product(u,v),w),x),sigma(v))*. % 299.97/300.35 105244[0:Res:99.1,26698.0] || -> disjoint(apply(cross_product(u,v),w),x) member(f23(apply(cross_product(u,v),w),x),sigma(v))*. % 299.97/300.35 105256[16:Res:58828.1,26698.0] || -> equal(apply(cross_product(u,v),w),a) member(f1(apply(cross_product(u,v),w),a),sigma(v))*. % 299.97/300.35 105261[16:Res:58827.1,26698.0] || -> equal(apply(cross_product(u,v),w),a) member(f1(a,apply(cross_product(u,v),w)),sigma(v))*. % 299.97/300.35 105273[16:Res:57867.1,26698.0] || disjoint(complement(apply(cross_product(u,v),w)),x)* -> equal(x,a) member(f24(x),sigma(v)). % 299.97/300.35 105284[0:Res:100.1,26698.0] || -> disjoint(u,apply(cross_product(v,w),x)) member(f23(u,apply(cross_product(v,w),x)),sigma(w))*. % 299.97/300.35 105286[0:Res:954.2,26698.0] || subset(u,apply(cross_product(v,w),x))* -> disjoint(u,y) member(f23(u,y),sigma(w))*. % 299.97/300.35 105288[0:Res:961.2,26698.0] || subset(u,apply(cross_product(v,w),x))* -> disjoint(y,u) member(f23(y,u),sigma(w))*. % 299.97/300.35 105291[0:Res:955.2,26698.0] || subset(u,apply(cross_product(v,w),x))* -> subset(u,y) member(f17(u,y),sigma(w))*. % 299.97/300.35 105305[16:Res:59019.2,26698.0] || subset(u,apply(cross_product(v,w),x))* -> equal(u,a) member(f1(u,a),sigma(w)). % 299.97/300.35 105306[16:Res:59021.2,26698.0] || subset(u,apply(cross_product(v,w),x))* -> equal(a,u) member(f1(a,u),sigma(w)). % 299.97/300.35 105317[0:Res:960.2,26698.0] || member(u,infinity) subset(infinity,apply(cross_product(v,w),x))* -> member(successor(u),sigma(w))*. % 299.97/300.35 105351[0:Res:46.1,26698.0] || member(u,converse(apply(cross_product(v,w),x)))* -> member(ordered_pair(second(u),first(u)),sigma(w))*. % 299.97/300.35 105437[3:AED:105413.1] || member(u,cross_product(v,w))* -> subset(second(u),x) member(f17(second(u),x),sigma(w))*. % 299.97/300.35 105438[3:AED:105412.1] || member(u,cross_product(v,w))* -> disjoint(second(u),x) member(f23(second(u),x),sigma(w))*. % 299.97/300.35 105439[3:AED:105411.1] || member(u,cross_product(v,w))* -> disjoint(x,second(u)) member(f23(x,second(u)),sigma(w))*. % 299.97/300.35 653[0:Res:87.1,547.0] || -> single_valued_set(range_of(cross_product(u,v))) member(ordered_pair(f19(range_of(cross_product(u,v))),f21(range_of(cross_product(u,v)))),v)*. % 299.97/300.35 654[0:Res:86.1,547.0] || -> single_valued_set(range_of(cross_product(u,v))) member(ordered_pair(f19(range_of(cross_product(u,v))),f20(range_of(cross_product(u,v)))),v)*. % 299.97/300.35 668[0:Res:87.1,560.0] || -> single_valued_set(domain_of(cross_product(u,v))) member(ordered_pair(f19(domain_of(cross_product(u,v))),f21(domain_of(cross_product(u,v)))),u)*. % 299.97/300.35 669[0:Res:86.1,560.0] || -> single_valued_set(domain_of(cross_product(u,v))) member(ordered_pair(f19(domain_of(cross_product(u,v))),f20(domain_of(cross_product(u,v)))),u)*. % 299.97/300.35 1347[0:Res:93.1,547.0] || member(u,image(v,range_of(cross_product(w,x)))) -> member(f22(u,v,range_of(cross_product(w,x))),x)*. % 299.97/300.35 1348[0:Res:93.1,560.0] || member(u,image(v,domain_of(cross_product(w,x)))) -> member(f22(u,v,domain_of(cross_product(w,x))),w)*. % 299.97/300.35 1282[0:Res:118.1,547.0] || member(u,apply(range_of(cross_product(v,w)),x)) -> member(f28(u,range_of(cross_product(v,w)),x),w)*. % 299.97/300.35 1283[0:Res:118.1,560.0] || member(u,apply(domain_of(cross_product(v,w)),x)) -> member(f28(u,domain_of(cross_product(v,w)),x),v)*. % 299.97/300.35 7889[3:Res:66.1,6176.0] || member(u,sigma(converse(v))) -> ordered_pair_predicate(ordered_pair(second(f16(u,converse(v))),first(f16(u,converse(v)))))*. % 299.97/300.35 7955[0:Res:118.1,274.0] || member(u,apply(restrict(v,w),x)) -> member(f28(u,restrict(v,w),x),cross_product(w,universal_set))*. % 299.97/300.35 7957[0:Res:93.1,274.0] || member(u,image(v,restrict(w,x))) -> member(f22(u,v,restrict(w,x)),cross_product(x,universal_set))*. % 299.97/300.35 8213[0:MRR:8198.0,5.0] || equal(f1(u,singleton_set(v)),v) member(f1(u,singleton_set(v)),u)* -> equal(u,singleton_set(v)). % 299.97/300.35 9416[0:Res:94.1,4549.0] || member(u,image(flip_range_of(v),w)) equal(x,first(f22(u,flip_range_of(v),w)))* -> ordered_pair_predicate(x)*. % 299.97/300.35 9697[0:Res:94.1,4578.0] || member(u,image(rotate_right(v),w)) equal(x,first(f22(u,rotate_right(v),w)))* -> ordered_pair_predicate(x)*. % 299.97/300.35 9841[0:Res:4258.0,1354.0] || -> equal(complement(image(u,cross_product(v,w))),universal_set) member(f1(complement(image(u,cross_product(v,w))),universal_set),w)*. % 299.97/300.35 9844[0:Res:395.0,1354.0] || -> subset(u,complement(image(v,cross_product(w,x)))) member(f17(u,complement(image(v,cross_product(w,x)))),x)*. % 299.97/300.35 9845[0:Res:38.1,1354.0] || member(u,domain_of(image(v,cross_product(w,x)))) -> member(f8(u,image(v,cross_product(w,x))),x)*. % 299.97/300.35 9846[0:Res:66.1,1354.0] || member(u,sigma(image(v,cross_product(w,x)))) -> member(f16(u,image(v,cross_product(w,x))),x)*. % 299.97/300.35 9847[0:Res:107.1,1354.0] || member(u,range_of(image(v,cross_product(w,x)))) -> member(f27(u,image(v,cross_product(w,x))),x)*. % 299.97/300.35 10232[0:Res:960.2,8.0] || member(u,infinity)* subset(infinity,non_ordered_pair(v,w))* -> equal(successor(u),w)* equal(successor(u),v)*. % 299.97/300.35 10578[0:SpR:36.0,10547.0] || -> disjoint(intersection(union(u,v),complement(singleton_set(intersection(complement(u),complement(v))))),successor(intersection(complement(u),complement(v))))*. % 299.97/300.35 10593[2:Res:960.2,644.1] || member(u,infinity) subset(infinity,second(f8(successor(u),v)))* member(successor(u),domain_of(v)) -> . % 299.97/300.35 10625[0:SpR:36.0,10609.0] || -> disjoint(successor(intersection(complement(u),complement(v))),intersection(union(u,v),complement(singleton_set(intersection(complement(u),complement(v))))))*. % 299.97/300.35 11030[2:Res:58.1,10966.0] || member(u,flip_range_of(v)) -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),universal_set)*. % 299.97/300.35 11031[2:Res:52.1,10966.0] || member(u,rotate_right(v)) -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),universal_set)*. % 299.97/300.35 11102[0:Res:87.1,4238.0] || equal(u,ordered_pair(f19(compose(v,w)),f21(compose(v,w))))* -> single_valued_set(compose(v,w)) ordered_pair_predicate(u)*. % 299.97/300.35 11103[0:Res:86.1,4238.0] || equal(u,ordered_pair(f19(compose(v,w)),f20(compose(v,w))))* -> single_valued_set(compose(v,w)) ordered_pair_predicate(u)*. % 299.97/300.35 11236[0:Res:278.1,560.0] || -> subset(intersection(u,domain_of(cross_product(v,w))),x) member(f17(intersection(u,domain_of(cross_product(v,w))),x),v)*. % 299.97/300.35 11237[0:Res:278.1,547.0] || -> subset(intersection(u,range_of(cross_product(v,w))),x) member(f17(intersection(u,range_of(cross_product(v,w))),x),w)*. % 299.97/300.35 11240[0:Res:278.1,274.0] || -> subset(intersection(u,restrict(v,w)),x) member(f17(intersection(u,restrict(v,w)),x),cross_product(w,universal_set))*. % 299.97/300.35 11294[0:Res:286.1,560.0] || -> subset(intersection(domain_of(cross_product(u,v)),w),x) member(f17(intersection(domain_of(cross_product(u,v)),w),x),u)*. % 299.97/300.35 11295[0:Res:286.1,547.0] || -> subset(intersection(range_of(cross_product(u,v)),w),x) member(f17(intersection(range_of(cross_product(u,v)),w),x),v)*. % 299.97/300.35 11298[0:Res:286.1,274.0] || -> subset(intersection(restrict(u,v),w),x) member(f17(intersection(restrict(u,v),w),x),cross_product(v,universal_set))*. % 299.97/300.35 11340[3:Res:955.2,6176.0] || subset(u,converse(v))* -> subset(u,w) ordered_pair_predicate(ordered_pair(second(f17(u,w)),first(f17(u,w))))*. % 299.97/300.35 11422[3:Res:961.2,6176.0] || subset(u,converse(v))* -> disjoint(w,u) ordered_pair_predicate(ordered_pair(second(f23(w,u)),first(f23(w,u))))*. % 299.97/300.35 11535[3:Res:954.2,6176.0] || subset(u,converse(v))* -> disjoint(u,w) ordered_pair_predicate(ordered_pair(second(f23(u,w)),first(f23(u,w))))*. % 299.97/300.35 11626[0:Res:285.1,560.0] || -> disjoint(intersection(domain_of(cross_product(u,v)),w),x) member(f23(intersection(domain_of(cross_product(u,v)),w),x),u)*. % 299.97/300.35 11627[0:Res:285.1,547.0] || -> disjoint(intersection(range_of(cross_product(u,v)),w),x) member(f23(intersection(range_of(cross_product(u,v)),w),x),v)*. % 299.97/300.35 11630[0:Res:285.1,274.0] || -> disjoint(intersection(restrict(u,v),w),x) member(f23(intersection(restrict(u,v),w),x),cross_product(v,universal_set))*. % 299.97/300.35 11720[0:Res:289.1,560.0] || -> disjoint(u,intersection(domain_of(cross_product(v,w)),x)) member(f23(u,intersection(domain_of(cross_product(v,w)),x)),v)*. % 299.97/300.35 11721[0:Res:289.1,547.0] || -> disjoint(u,intersection(range_of(cross_product(v,w)),x)) member(f23(u,intersection(range_of(cross_product(v,w)),x)),w)*. % 299.97/300.35 11724[0:Res:289.1,274.0] || -> disjoint(u,intersection(restrict(v,w),x)) member(f23(u,intersection(restrict(v,w),x)),cross_product(w,universal_set))*. % 299.97/300.35 11818[0:Res:277.1,560.0] || -> disjoint(intersection(u,domain_of(cross_product(v,w))),x) member(f23(intersection(u,domain_of(cross_product(v,w))),x),v)*. % 299.97/300.35 11819[0:Res:277.1,547.0] || -> disjoint(intersection(u,range_of(cross_product(v,w))),x) member(f23(intersection(u,range_of(cross_product(v,w))),x),w)*. % 299.97/300.35 11822[0:Res:277.1,274.0] || -> disjoint(intersection(u,restrict(v,w)),x) member(f23(intersection(u,restrict(v,w)),x),cross_product(w,universal_set))*. % 299.97/300.35 11979[0:Res:281.1,560.0] || -> disjoint(u,intersection(v,domain_of(cross_product(w,x)))) member(f23(u,intersection(v,domain_of(cross_product(w,x)))),w)*. % 299.97/300.35 11980[0:Res:281.1,547.0] || -> disjoint(u,intersection(v,range_of(cross_product(w,x)))) member(f23(u,intersection(v,range_of(cross_product(w,x)))),x)*. % 299.97/300.35 11983[0:Res:281.1,274.0] || -> disjoint(u,intersection(v,restrict(w,x))) member(f23(u,intersection(v,restrict(w,x))),cross_product(x,universal_set))*. % 299.97/300.35 12229[0:Res:1155.2,98.0] || member(u,infinity) member(infinity,v) member(successor(u),w)* disjoint(w,sigma(v))* -> . % 299.97/300.35 12230[0:Res:1155.2,68.0] || member(u,infinity) member(infinity,v) member(sigma(v),w)* -> member(successor(u),sigma(w))*. % 299.97/300.35 12886[0:Res:956.2,98.0] || subset(u,v)* member(ordered_pair(f19(u),f21(u)),w)* disjoint(w,v)* -> single_valued_set(u). % 299.97/300.35 12887[0:Res:956.2,68.0] || subset(u,v)* member(v,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),sigma(w))*. % 299.97/300.35 12898[0:Res:956.2,4238.0] || subset(u,compose(v,w))* equal(x,ordered_pair(f19(u),f21(u)))* -> single_valued_set(u) ordered_pair_predicate(x)*. % 299.97/300.35 13001[0:Res:957.2,98.0] || subset(u,v)* member(ordered_pair(f19(u),f20(u)),w)* disjoint(w,v)* -> single_valued_set(u). % 299.97/300.35 13002[0:Res:957.2,68.0] || subset(u,v)* member(v,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),sigma(w))*. % 299.97/300.35 13013[0:Res:957.2,4238.0] || subset(u,compose(v,w))* equal(x,ordered_pair(f19(u),f20(u)))* -> single_valued_set(u) ordered_pair_predicate(x)*. % 299.97/300.35 13171[0:SpR:25.1,1103.2] little_set(u) || member(v,second(w)) equal(u,singleton_set(f6(v,w)))* -> member(u,w)*. % 299.97/300.35 13172[0:SpR:20.1,1103.2] little_set(u) || member(v,first(w)) equal(u,singleton_set(f4(v,w)))* -> member(u,w)*. % 299.97/300.35 13174[0:SpR:57.1,1103.2] little_set(u) || member(v,flip_range_of(w)) equal(u,singleton_set(f12(v,w)))* -> member(u,v)*. % 299.97/300.35 13175[0:SpR:51.1,1103.2] little_set(u) || member(v,rotate_right(w)) equal(u,singleton_set(f9(v,w)))* -> member(u,v)*. % 299.97/300.35 13179[0:Res:1103.2,68.0] little_set(u) || equal(u,singleton_set(v))* member(ordered_pair(v,w),x)* -> member(u,sigma(x))*. % 299.97/300.35 13215[0:SSi:13201.0,371.0] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),singleton_set(v))* -> member(u,converse(ordered_pair(v,w)))*. % 299.97/300.35 13216[0:MRR:13197.0,420.1] || equal(f27(u,complement(ordered_pair(v,w))),singleton_set(v)) member(u,range_of(complement(ordered_pair(v,w))))* -> . % 299.97/300.35 13217[0:MRR:13196.0,449.1] || equal(f16(u,complement(ordered_pair(v,w))),singleton_set(v)) member(u,sigma(complement(ordered_pair(v,w))))* -> . % 299.97/300.35 13218[0:MRR:13195.0,487.1] || equal(f8(u,complement(ordered_pair(v,w))),singleton_set(v)) member(u,domain_of(complement(ordered_pair(v,w))))* -> . % 299.97/300.35 13290[0:Res:538.1,98.0] || member(second(f23(cross_product(u,v),w)),x)* disjoint(x,v) -> disjoint(cross_product(u,v),w). % 299.97/300.35 13291[0:Res:538.1,68.0] || member(u,v) -> disjoint(cross_product(w,u),x) member(second(f23(cross_product(w,u),x)),sigma(v))*. % 299.97/300.35 13296[0:Res:538.1,42.0] || -> disjoint(cross_product(u,cross_product(v,w)),x) member(first(second(f23(cross_product(u,cross_product(v,w)),x))),v)*. % 299.97/300.35 13297[0:Res:538.1,43.0] || -> disjoint(cross_product(u,cross_product(v,w)),x) member(second(second(f23(cross_product(u,cross_product(v,w)),x))),w)*. % 299.97/300.35 13299[0:Res:538.1,4549.0] || equal(u,second(f23(cross_product(v,flip_range_of(w)),x)))* -> disjoint(cross_product(v,flip_range_of(w)),x) ordered_pair_predicate(u)*. % 299.97/300.35 13301[0:Res:538.1,4578.0] || equal(u,second(f23(cross_product(v,rotate_right(w)),x)))* -> disjoint(cross_product(v,rotate_right(w)),x) ordered_pair_predicate(u)*. % 299.97/300.35 13333[0:Res:543.1,98.0] || member(second(f23(u,cross_product(v,w))),x)* disjoint(x,w) -> disjoint(u,cross_product(v,w)). % 299.97/300.35 13334[0:Res:543.1,68.0] || member(u,v) -> disjoint(w,cross_product(x,u)) member(second(f23(w,cross_product(x,u))),sigma(v))*. % 299.97/300.35 13339[0:Res:543.1,42.0] || -> disjoint(u,cross_product(v,cross_product(w,x))) member(first(second(f23(u,cross_product(v,cross_product(w,x))))),w)*. % 299.97/300.35 13340[0:Res:543.1,43.0] || -> disjoint(u,cross_product(v,cross_product(w,x))) member(second(second(f23(u,cross_product(v,cross_product(w,x))))),x)*. % 299.97/300.35 13342[0:Res:543.1,4549.0] || equal(u,second(f23(v,cross_product(w,flip_range_of(x)))))* -> disjoint(v,cross_product(w,flip_range_of(x))) ordered_pair_predicate(u)*. % 299.97/300.35 13344[0:Res:543.1,4578.0] || equal(u,second(f23(v,cross_product(w,rotate_right(x)))))* -> disjoint(v,cross_product(w,rotate_right(x))) ordered_pair_predicate(u)*. % 299.97/300.35 13407[0:Res:551.1,98.0] || member(first(f23(cross_product(u,v),w)),x)* disjoint(x,u) -> disjoint(cross_product(u,v),w). % 299.97/300.35 13408[0:Res:551.1,68.0] || member(u,v) -> disjoint(cross_product(u,w),x) member(first(f23(cross_product(u,w),x)),sigma(v))*. % 299.97/300.35 13413[0:Res:551.1,42.0] || -> disjoint(cross_product(cross_product(u,v),w),x) member(first(first(f23(cross_product(cross_product(u,v),w),x))),u)*. % 299.97/300.35 13414[0:Res:551.1,43.0] || -> disjoint(cross_product(cross_product(u,v),w),x) member(second(first(f23(cross_product(cross_product(u,v),w),x))),v)*. % 299.97/300.35 13416[0:Res:551.1,4549.0] || equal(u,first(f23(cross_product(flip_range_of(v),w),x)))* -> disjoint(cross_product(flip_range_of(v),w),x) ordered_pair_predicate(u)*. % 299.97/300.35 13418[0:Res:551.1,4578.0] || equal(u,first(f23(cross_product(rotate_right(v),w),x)))* -> disjoint(cross_product(rotate_right(v),w),x) ordered_pair_predicate(u)*. % 299.97/300.35 13485[0:Res:556.1,98.0] || member(first(f23(u,cross_product(v,w))),x)* disjoint(x,v) -> disjoint(u,cross_product(v,w)). % 299.97/300.35 13486[0:Res:556.1,68.0] || member(u,v) -> disjoint(w,cross_product(u,x)) member(first(f23(w,cross_product(u,x))),sigma(v))*. % 299.97/300.35 13491[0:Res:556.1,42.0] || -> disjoint(u,cross_product(cross_product(v,w),x)) member(first(first(f23(u,cross_product(cross_product(v,w),x)))),v)*. % 299.97/300.35 13492[0:Res:556.1,43.0] || -> disjoint(u,cross_product(cross_product(v,w),x)) member(second(first(f23(u,cross_product(cross_product(v,w),x)))),w)*. % 299.97/300.35 13494[0:Res:556.1,4549.0] || equal(u,first(f23(v,cross_product(flip_range_of(w),x))))* -> disjoint(v,cross_product(flip_range_of(w),x)) ordered_pair_predicate(u)*. % 299.97/300.35 13496[0:Res:556.1,4578.0] || equal(u,first(f23(v,cross_product(rotate_right(w),x))))* -> disjoint(v,cross_product(rotate_right(w),x)) ordered_pair_predicate(u)*. % 299.97/300.35 13626[0:Res:539.1,98.0] || member(second(f17(cross_product(u,v),w)),x)* disjoint(x,v) -> subset(cross_product(u,v),w). % 299.97/300.35 13627[0:Res:539.1,68.0] || member(u,v) -> subset(cross_product(w,u),x) member(second(f17(cross_product(w,u),x)),sigma(v))*. % 299.97/300.35 13632[0:Res:539.1,42.0] || -> subset(cross_product(u,cross_product(v,w)),x) member(first(second(f17(cross_product(u,cross_product(v,w)),x))),v)*. % 299.97/300.35 13633[0:Res:539.1,43.0] || -> subset(cross_product(u,cross_product(v,w)),x) member(second(second(f17(cross_product(u,cross_product(v,w)),x))),w)*. % 299.97/300.35 13635[0:Res:539.1,4549.0] || equal(u,second(f17(cross_product(v,flip_range_of(w)),x)))* -> subset(cross_product(v,flip_range_of(w)),x) ordered_pair_predicate(u)*. % 299.97/300.35 13637[0:Res:539.1,4578.0] || equal(u,second(f17(cross_product(v,rotate_right(w)),x)))* -> subset(cross_product(v,rotate_right(w)),x) ordered_pair_predicate(u)*. % 299.97/300.35 13689[0:Res:552.1,98.0] || member(first(f17(cross_product(u,v),w)),x)* disjoint(x,u) -> subset(cross_product(u,v),w). % 299.97/300.35 13690[0:Res:552.1,68.0] || member(u,v) -> subset(cross_product(u,w),x) member(first(f17(cross_product(u,w),x)),sigma(v))*. % 299.97/300.35 13695[0:Res:552.1,42.0] || -> subset(cross_product(cross_product(u,v),w),x) member(first(first(f17(cross_product(cross_product(u,v),w),x))),u)*. % 299.97/300.35 13696[0:Res:552.1,43.0] || -> subset(cross_product(cross_product(u,v),w),x) member(second(first(f17(cross_product(cross_product(u,v),w),x))),v)*. % 299.97/300.35 13698[0:Res:552.1,4549.0] || equal(u,first(f17(cross_product(flip_range_of(v),w),x)))* -> subset(cross_product(flip_range_of(v),w),x) ordered_pair_predicate(u)*. % 299.97/300.35 13700[0:Res:552.1,4578.0] || equal(u,first(f17(cross_product(rotate_right(v),w),x)))* -> subset(cross_product(rotate_right(v),w),x) ordered_pair_predicate(u)*. % 299.97/300.35 13768[0:Res:1150.2,98.0] || member(u,v)* member(f17(u,w),x)* disjoint(x,sigma(v))* -> subset(u,w). % 299.97/300.35 13769[0:Res:1150.2,68.0] || member(u,v)* member(sigma(v),w)* -> subset(u,x) member(f17(u,x),sigma(w))*. % 299.97/300.35 13847[0:Res:26.1,1214.0] || member(f17(u,v),second(w)) disjoint(f7(f17(u,v),w),u)* -> subset(u,v). % 299.97/300.35 13848[0:Res:21.1,1214.0] || member(f17(u,v),first(w)) disjoint(f4(f17(u,v),w),u)* -> subset(u,v). % 299.97/300.35 13849[0:Res:67.1,1214.0] || member(f17(u,v),sigma(w)) disjoint(f16(f17(u,v),w),u)* -> subset(u,v). % 299.97/300.35 13934[0:Res:1149.2,98.0] || member(u,v)* member(f23(u,w),x)* disjoint(x,sigma(v))* -> disjoint(u,w). % 299.97/300.35 13935[0:Res:1149.2,68.0] || member(u,v)* member(sigma(v),w)* -> disjoint(u,x) member(f23(u,x),sigma(w))*. % 299.97/300.35 13968[0:Res:1157.2,98.0] || member(u,v)* member(f23(w,u),x)* disjoint(x,sigma(v))* -> disjoint(w,u). % 299.97/300.35 13969[0:Res:1157.2,68.0] || member(u,v)* member(sigma(v),w)* -> disjoint(x,u) member(f23(x,u),sigma(w))*. % 299.97/300.35 14022[0:Res:26.1,1221.0] || member(f23(u,v),second(w)) disjoint(f7(f23(u,v),w),v)* -> disjoint(u,v). % 299.97/300.35 14023[0:Res:21.1,1221.0] || member(f23(u,v),first(w)) disjoint(f4(f23(u,v),w),v)* -> disjoint(u,v). % 299.97/300.35 14024[0:Res:67.1,1221.0] || member(f23(u,v),sigma(w)) disjoint(f16(f23(u,v),w),v)* -> disjoint(u,v). % 299.97/300.35 14130[0:Res:26.1,1213.0] || member(f23(u,v),second(w)) disjoint(f7(f23(u,v),w),u)* -> disjoint(u,v). % 299.97/300.35 14131[0:Res:21.1,1213.0] || member(f23(u,v),first(w)) disjoint(f4(f23(u,v),w),u)* -> disjoint(u,v). % 299.97/300.35 14132[0:Res:67.1,1213.0] || member(f23(u,v),sigma(w)) disjoint(f16(f23(u,v),w),u)* -> disjoint(u,v). % 299.97/300.35 14481[0:Res:1151.2,70.0] || member(u,v)* subset(sigma(v),w)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),w)*. % 299.97/300.35 14504[0:Res:1152.2,70.0] || member(u,v)* subset(sigma(v),w)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),w)*. % 299.97/300.35 15201[0:Res:965.2,70.0] || member(u,domain_of(v)) subset(v,w)* subset(w,x)* -> member(f8(u,v),x)*. % 299.97/300.35 15208[0:Res:965.2,4549.0] || member(u,domain_of(v))* subset(v,flip_range_of(w))* equal(x,f8(u,v))* -> ordered_pair_predicate(x)*. % 299.97/300.35 15210[0:Res:965.2,4578.0] || member(u,domain_of(v))* subset(v,rotate_right(w))* equal(x,f8(u,v))* -> ordered_pair_predicate(x)*. % 299.97/300.35 15227[0:Res:965.2,274.0] || member(u,domain_of(v)) subset(v,restrict(w,x))* -> member(f8(u,v),cross_product(x,universal_set))*. % 299.97/300.35 15229[0:Res:965.2,1354.0] || member(u,domain_of(v)) subset(v,image(w,cross_product(x,y)))* -> member(f8(u,v),y)*. % 299.97/300.35 15252[0:Res:964.2,70.0] || member(u,sigma(v)) subset(v,w)* subset(w,x)* -> member(f16(u,v),x)*. % 299.97/300.35 15259[0:Res:964.2,4549.0] || member(u,sigma(v))* subset(v,flip_range_of(w))* equal(x,f16(u,v))* -> ordered_pair_predicate(x)*. % 299.97/300.35 15261[0:Res:964.2,4578.0] || member(u,sigma(v))* subset(v,rotate_right(w))* equal(x,f16(u,v))* -> ordered_pair_predicate(x)*. % 299.97/300.35 15278[0:Res:964.2,274.0] || member(u,sigma(v)) subset(v,restrict(w,x))* -> member(f16(u,v),cross_product(x,universal_set))*. % 299.97/300.35 15280[0:Res:964.2,1354.0] || member(u,sigma(v)) subset(v,image(w,cross_product(x,y)))* -> member(f16(u,v),y)*. % 299.97/300.35 15477[0:Res:963.2,70.0] || member(u,range_of(v)) subset(v,w)* subset(w,x)* -> member(f27(u,v),x)*. % 299.97/300.35 15484[0:Res:963.2,4549.0] || member(u,range_of(v))* subset(v,flip_range_of(w))* equal(x,f27(u,v))* -> ordered_pair_predicate(x)*. % 299.97/300.35 15486[0:Res:963.2,4578.0] || member(u,range_of(v))* subset(v,rotate_right(w))* equal(x,f27(u,v))* -> ordered_pair_predicate(x)*. % 299.97/300.35 15503[0:Res:963.2,274.0] || member(u,range_of(v)) subset(v,restrict(w,x))* -> member(f27(u,v),cross_product(x,universal_set))*. % 299.97/300.35 15505[0:Res:963.2,1354.0] || member(u,range_of(v)) subset(v,image(w,cross_product(x,y)))* -> member(f27(u,v),y)*. % 299.97/300.35 16024[0:Res:1080.2,70.0] little_set(u) || equal(u,non_ordered_pair(v,w))* subset(ordered_pair(v,w),x)* -> member(u,x)*. % 299.97/300.35 16068[0:SSi:16054.0,371.0] || equal(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w))* disjoint(ordered_pair(v,w),u)* -> single_valued_set(u). % 299.97/300.35 16069[0:SSi:16053.0,371.0] || equal(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w))* disjoint(ordered_pair(v,w),u)* -> single_valued_set(u). % 299.97/300.35 16070[0:SSi:16051.0,371.0] || equal(ordered_pair(second(u),first(u)),non_ordered_pair(v,w))* member(u,converse(complement(ordered_pair(v,w))))* -> . % 299.97/300.35 16148[0:Res:493.1,70.0] || member(u,domain_of(intersection(v,w))) subset(v,x) -> member(f8(u,intersection(v,w)),x)*. % 299.97/300.35 16167[0:Res:493.1,10964.0] || member(u,domain_of(intersection(complement(complement(v)),w))) -> member(f8(u,intersection(complement(complement(v)),w)),v)*. % 299.97/300.35 16170[0:Res:493.1,31.0] || member(u,domain_of(intersection(intersection(v,w),x))) -> member(f8(u,intersection(intersection(v,w),x)),v)*. % 299.97/300.35 16171[0:Res:493.1,32.0] || member(u,domain_of(intersection(intersection(v,w),x))) -> member(f8(u,intersection(intersection(v,w),x)),w)*. % 299.97/300.35 16174[0:Res:493.1,282.0] || member(u,domain_of(intersection(restrict(v,w),x))) -> member(f8(u,intersection(restrict(v,w),x)),v)*. % 299.97/300.35 16378[0:Res:494.1,70.0] || member(u,domain_of(intersection(v,w))) subset(w,x) -> member(f8(u,intersection(v,w)),x)*. % 299.97/300.35 16397[0:Res:494.1,10964.0] || member(u,domain_of(intersection(v,complement(complement(w))))) -> member(f8(u,intersection(v,complement(complement(w)))),w)*. % 299.97/300.35 16401[0:Res:494.1,31.0] || member(u,domain_of(intersection(v,intersection(w,x)))) -> member(f8(u,intersection(v,intersection(w,x))),w)*. % 299.97/300.35 16402[0:Res:494.1,32.0] || member(u,domain_of(intersection(v,intersection(w,x)))) -> member(f8(u,intersection(v,intersection(w,x))),x)*. % 299.97/300.35 16405[0:Res:494.1,282.0] || member(u,domain_of(intersection(v,restrict(w,x)))) -> member(f8(u,intersection(v,restrict(w,x))),w)*. % 299.97/300.35 17049[0:Res:493.1,15955.0] || member(u,domain_of(intersection(sigma(powerset(v)),w))) -> member(f8(u,intersection(sigma(powerset(v)),w)),v)*. % 299.97/300.35 17067[0:Res:494.1,15955.0] || member(u,domain_of(intersection(v,sigma(powerset(w))))) -> member(f8(u,intersection(v,sigma(powerset(w)))),w)*. % 299.97/300.35 17102[0:Res:455.1,70.0] || member(u,sigma(intersection(v,w))) subset(v,x) -> member(f16(u,intersection(v,w)),x)*. % 299.97/300.35 17121[0:Res:455.1,10964.0] || member(u,sigma(intersection(complement(complement(v)),w))) -> member(f16(u,intersection(complement(complement(v)),w)),v)*. % 299.97/300.35 17126[0:Res:455.1,31.0] || member(u,sigma(intersection(intersection(v,w),x))) -> member(f16(u,intersection(intersection(v,w),x)),v)*. % 299.97/300.35 17127[0:Res:455.1,32.0] || member(u,sigma(intersection(intersection(v,w),x))) -> member(f16(u,intersection(intersection(v,w),x)),w)*. % 299.97/300.35 17130[0:Res:455.1,15955.0] || member(u,sigma(intersection(sigma(powerset(v)),w))) -> member(f16(u,intersection(sigma(powerset(v)),w)),v)*. % 299.97/300.35 17132[0:Res:455.1,282.0] || member(u,sigma(intersection(restrict(v,w),x))) -> member(f16(u,intersection(restrict(v,w),x)),v)*. % 299.97/300.35 17203[0:Res:456.1,70.0] || member(u,sigma(intersection(v,w))) subset(w,x) -> member(f16(u,intersection(v,w)),x)*. % 299.97/300.35 17222[0:Res:456.1,10964.0] || member(u,sigma(intersection(v,complement(complement(w))))) -> member(f16(u,intersection(v,complement(complement(w)))),w)*. % 299.97/300.35 17227[0:Res:456.1,31.0] || member(u,sigma(intersection(v,intersection(w,x)))) -> member(f16(u,intersection(v,intersection(w,x))),w)*. % 299.97/300.35 17228[0:Res:456.1,32.0] || member(u,sigma(intersection(v,intersection(w,x)))) -> member(f16(u,intersection(v,intersection(w,x))),x)*. % 299.97/300.35 17231[0:Res:456.1,15955.0] || member(u,sigma(intersection(v,sigma(powerset(w))))) -> member(f16(u,intersection(v,sigma(powerset(w)))),w)*. % 299.97/300.35 17233[0:Res:456.1,282.0] || member(u,sigma(intersection(v,restrict(w,x)))) -> member(f16(u,intersection(v,restrict(w,x))),w)*. % 299.97/300.35 17396[0:Res:426.1,70.0] || member(u,range_of(intersection(v,w))) subset(v,x) -> member(f27(u,intersection(v,w)),x)*. % 299.97/300.35 17415[0:Res:426.1,10964.0] || member(u,range_of(intersection(complement(complement(v)),w))) -> member(f27(u,intersection(complement(complement(v)),w)),v)*. % 299.97/300.35 17420[0:Res:426.1,31.0] || member(u,range_of(intersection(intersection(v,w),x))) -> member(f27(u,intersection(intersection(v,w),x)),v)*. % 299.97/300.35 17421[0:Res:426.1,32.0] || member(u,range_of(intersection(intersection(v,w),x))) -> member(f27(u,intersection(intersection(v,w),x)),w)*. % 299.97/300.35 17424[0:Res:426.1,15955.0] || member(u,range_of(intersection(sigma(powerset(v)),w))) -> member(f27(u,intersection(sigma(powerset(v)),w)),v)*. % 299.97/300.35 17426[0:Res:426.1,282.0] || member(u,range_of(intersection(restrict(v,w),x))) -> member(f27(u,intersection(restrict(v,w),x)),v)*. % 299.97/300.35 17503[0:Res:427.1,70.0] || member(u,range_of(intersection(v,w))) subset(w,x) -> member(f27(u,intersection(v,w)),x)*. % 299.97/300.35 17522[0:Res:427.1,10964.0] || member(u,range_of(intersection(v,complement(complement(w))))) -> member(f27(u,intersection(v,complement(complement(w)))),w)*. % 299.97/300.35 17527[0:Res:427.1,31.0] || member(u,range_of(intersection(v,intersection(w,x)))) -> member(f27(u,intersection(v,intersection(w,x))),w)*. % 299.97/300.35 17528[0:Res:427.1,32.0] || member(u,range_of(intersection(v,intersection(w,x)))) -> member(f27(u,intersection(v,intersection(w,x))),x)*. % 299.97/300.35 17531[0:Res:427.1,15955.0] || member(u,range_of(intersection(v,sigma(powerset(w))))) -> member(f27(u,intersection(v,sigma(powerset(w)))),w)*. % 299.97/300.35 17533[0:Res:427.1,282.0] || member(u,range_of(intersection(v,restrict(w,x)))) -> member(f27(u,intersection(v,restrict(w,x))),w)*. % 299.97/300.35 17602[2:MRR:17583.0,1545.1] || equal(first(f22(non_ordered_pair(u,v),w,x)),v)** member(non_ordered_pair(u,v),image(w,x)) -> . % 299.97/300.35 17603[2:MRR:17582.0,1545.1] || equal(first(f22(non_ordered_pair(u,v),w,x)),u)** member(non_ordered_pair(u,v),image(w,x)) -> . % 299.97/300.35 18153[0:Res:4115.1,42.0] ordered_pair_predicate(u) || -> member(u,converse(complement(cross_product(v,w))))* member(first(ordered_pair(second(u),first(u))),v)*. % 299.97/300.35 18154[0:Res:4115.1,43.0] ordered_pair_predicate(u) || -> member(u,converse(complement(cross_product(v,w))))* member(second(ordered_pair(second(u),first(u))),w)*. % 299.97/300.35 18172[0:Res:4115.1,560.0] ordered_pair_predicate(u) || -> member(u,converse(complement(domain_of(cross_product(v,w)))))* member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.35 18174[0:Res:4115.1,547.0] ordered_pair_predicate(u) || -> member(u,converse(complement(range_of(cross_product(v,w)))))* member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.35 18274[0:Res:279.1,76.0] || -> single_valued_set(intersection(u,powerset(v))) subset(ordered_pair(f19(intersection(u,powerset(v))),f21(intersection(u,powerset(v)))),v)*. % 299.97/300.35 18275[0:Res:279.1,1444.0] || -> single_valued_set(intersection(u,singleton_set(v))) equal(ordered_pair(f19(intersection(u,singleton_set(v))),f21(intersection(u,singleton_set(v)))),v)**. % 299.97/300.35 18411[0:Res:280.1,76.0] || -> single_valued_set(intersection(u,powerset(v))) subset(ordered_pair(f19(intersection(u,powerset(v))),f20(intersection(u,powerset(v)))),v)*. % 299.97/300.35 18412[0:Res:280.1,1444.0] || -> single_valued_set(intersection(u,singleton_set(v))) equal(ordered_pair(f19(intersection(u,singleton_set(v))),f20(intersection(u,singleton_set(v)))),v)**. % 299.97/300.35 18493[0:Res:287.1,76.0] || -> single_valued_set(intersection(powerset(u),v)) subset(ordered_pair(f19(intersection(powerset(u),v)),f21(intersection(powerset(u),v))),u)*. % 299.97/300.35 18494[0:Res:287.1,1444.0] || -> single_valued_set(intersection(singleton_set(u),v)) equal(ordered_pair(f19(intersection(singleton_set(u),v)),f21(intersection(singleton_set(u),v))),u)**. % 299.97/300.35 18635[0:Res:288.1,76.0] || -> single_valued_set(intersection(powerset(u),v)) subset(ordered_pair(f19(intersection(powerset(u),v)),f20(intersection(powerset(u),v))),u)*. % 299.97/300.35 18636[0:Res:288.1,1444.0] || -> single_valued_set(intersection(singleton_set(u),v)) equal(ordered_pair(f19(intersection(singleton_set(u),v)),f20(intersection(singleton_set(u),v))),u)**. % 299.97/300.35 18874[0:MRR:18848.0,197.1] || member(u,infinity) disjoint(intersection(complement(v),complement(w)),infinity)* -> member(successor(u),union(v,w))*. % 299.97/300.35 18875[0:MRR:18853.0,213.1] || disjoint(intersection(complement(u),complement(v)),w) -> member(f17(w,x),union(u,v))* subset(w,x). % 299.97/300.35 18876[0:MRR:18852.0,203.1] || disjoint(intersection(complement(u),complement(v)),w) -> member(f23(x,w),union(u,v))* disjoint(x,w). % 299.97/300.35 18877[0:MRR:18851.0,203.1] || disjoint(intersection(complement(u),complement(v)),w) -> member(f23(w,x),union(u,v))* disjoint(w,x). % 299.97/300.35 18883[0:MRR:18842.0,213.1] || -> member(f17(u,intersection(complement(v),complement(w))),union(v,w))* subset(u,intersection(complement(v),complement(w))). % 299.97/300.35 18884[0:MRR:18839.0,5.0] || -> member(f1(intersection(complement(u),complement(v)),universal_set),union(u,v))* equal(intersection(complement(u),complement(v)),universal_set). % 299.97/300.35 19005[0:MRR:18998.0,24.1] || equal(f7(u,v),singleton_set(w))* member(u,second(v))* -> member(u,sigma(ordered_pair(w,x)))*. % 299.97/300.35 19134[0:MRR:19127.0,18.1] || equal(f4(u,v),singleton_set(w))* member(u,first(v))* -> member(u,sigma(ordered_pair(w,x)))*. % 299.97/300.35 19269[0:MRR:19255.0,449.1] || equal(f16(u,v),singleton_set(w))* member(u,sigma(v))* -> member(u,sigma(ordered_pair(w,x)))*. % 299.97/300.35 19566[6:Res:546.1,10803.1] || member(u,domain_of(cross_product(v,flip_range_of(w)))) equal(second(f8(u,cross_product(v,flip_range_of(w)))),universal_set)** -> . % 299.97/300.35 19568[6:Res:546.1,10804.1] || member(u,domain_of(cross_product(v,rotate_right(w)))) equal(second(f8(u,cross_product(v,rotate_right(w)))),universal_set)** -> . % 299.97/300.35 19580[0:Res:546.1,34.1] || member(u,domain_of(cross_product(v,complement(w)))) member(second(f8(u,cross_product(v,complement(w)))),w)* -> . % 299.97/300.35 19765[0:MRR:19741.0,487.1] || equal(f8(u,v),singleton_set(w))* member(u,domain_of(v))* disjoint(ordered_pair(w,x),v)* -> . % 299.97/300.35 20022[0:MRR:20000.0,420.1] || equal(f27(u,v),singleton_set(w))* member(u,range_of(v))* disjoint(ordered_pair(w,x),v)* -> . % 299.97/300.35 20283[0:MRR:20261.0,449.1] || equal(f16(u,v),singleton_set(w))* member(u,sigma(v))* disjoint(ordered_pair(w,x),v)* -> . % 299.97/300.35 20499[0:Res:120.1,20288.0] || member(set_b,apply(u,v)) disjoint(second(f28(set_b,u,v)),second(f28(set_b,u,v)))* -> . % 299.97/300.35 20520[0:Res:120.1,20289.0] || member(set_a,apply(u,v)) disjoint(second(f28(set_a,u,v)),second(f28(set_a,u,v)))* -> . % 299.97/300.35 20595[2:Res:120.1,20309.0] || member(infinity,apply(u,v)) disjoint(second(f28(infinity,u,v)),second(f28(infinity,u,v)))* -> . % 299.97/300.35 20613[3:SSi:20583.0,63.0,15957.0] || member(second(infinity),u) member(first(infinity),v) disjoint(cross_product(v,u),cross_product(v,u))* -> . % 299.97/300.35 20615[7:SpL:36.0,20306.0] || disjoint(union(u,v),universal_set) disjoint(intersection(complement(u),complement(v)),intersection(complement(u),complement(v)))* -> . % 299.97/300.35 20625[7:SpL:36.0,20307.0] || disjoint(universal_set,union(u,v)) disjoint(intersection(complement(u),complement(v)),intersection(complement(u),complement(v)))* -> . % 299.97/300.35 20651[6:Res:545.1,10803.1] || member(u,sigma(cross_product(v,flip_range_of(w)))) equal(second(f16(u,cross_product(v,flip_range_of(w)))),universal_set)** -> . % 299.97/300.35 20653[6:Res:545.1,10804.1] || member(u,sigma(cross_product(v,rotate_right(w)))) equal(second(f16(u,cross_product(v,rotate_right(w)))),universal_set)** -> . % 299.97/300.35 20665[0:Res:545.1,34.1] || member(u,sigma(cross_product(v,complement(w)))) member(second(f16(u,cross_product(v,complement(w)))),w)* -> . % 299.97/300.35 20759[6:Res:558.1,10803.1] || member(u,sigma(cross_product(flip_range_of(v),w))) equal(first(f16(u,cross_product(flip_range_of(v),w))),universal_set)** -> . % 299.97/300.35 20761[6:Res:558.1,10804.1] || member(u,sigma(cross_product(rotate_right(v),w))) equal(first(f16(u,cross_product(rotate_right(v),w))),universal_set)** -> . % 299.97/300.35 20773[0:Res:558.1,34.1] || member(u,sigma(cross_product(complement(v),w))) member(first(f16(u,cross_product(complement(v),w))),v)* -> . % 299.97/300.35 20894[6:Res:557.1,10803.1] || member(u,range_of(cross_product(flip_range_of(v),w))) equal(first(f27(u,cross_product(flip_range_of(v),w))),universal_set)** -> . % 299.97/300.35 20896[6:Res:557.1,10804.1] || member(u,range_of(cross_product(rotate_right(v),w))) equal(first(f27(u,cross_product(rotate_right(v),w))),universal_set)** -> . % 299.97/300.35 20908[0:Res:557.1,34.1] || member(u,range_of(cross_product(complement(v),w))) member(first(f27(u,cross_product(complement(v),w))),v)* -> . % 299.97/300.35 21104[0:Res:3651.2,20288.0] || member(set_b,cross_product(u,universal_set)) member(set_b,v) disjoint(restrict(v,u),restrict(v,u))* -> . % 299.97/300.35 21106[0:Res:3651.2,20289.0] || member(set_a,cross_product(u,universal_set)) member(set_a,v) disjoint(restrict(v,u),restrict(v,u))* -> . % 299.97/300.35 21108[2:Res:3651.2,20309.0] || member(infinity,cross_product(u,universal_set)) member(infinity,v) disjoint(restrict(v,u),restrict(v,u))* -> . % 299.97/300.35 21459[6:Res:540.1,10857.1] || equal(successor(second(ordered_pair(f19(cross_product(u,infinity)),f21(cross_product(u,infinity))))),universal_set)** -> single_valued_set(cross_product(u,infinity)). % 299.97/300.35 21619[6:Res:541.1,10857.1] || equal(successor(second(ordered_pair(f19(cross_product(u,infinity)),f20(cross_product(u,infinity))))),universal_set)** -> single_valued_set(cross_product(u,infinity)). % 299.97/300.35 21698[6:Res:553.1,10857.1] || equal(successor(first(ordered_pair(f19(cross_product(infinity,u)),f21(cross_product(infinity,u))))),universal_set)** -> single_valued_set(cross_product(infinity,u)). % 299.97/300.35 21787[6:Res:554.1,10857.1] || equal(successor(first(ordered_pair(f19(cross_product(infinity,u)),f20(cross_product(infinity,u))))),universal_set)** -> single_valued_set(cross_product(infinity,u)). % 299.97/300.35 22174[0:MRR:22156.0,1545.1] || equal(first(f22(u,complement(singleton_set(v)),w)),v)** member(u,image(complement(singleton_set(v)),w)) -> . % 299.97/300.35 22175[0:MRR:22155.0,1545.1] || subset(first(f22(u,complement(powerset(v)),w)),v)* member(u,image(complement(powerset(v)),w)) -> . % 299.97/300.35 22431[0:Res:71.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> subset(f2(u),w) member(f17(f2(u),w),first(v))*. % 299.97/300.35 22433[0:Res:99.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(f2(u),w) member(f23(f2(u),w),first(v))*. % 299.97/300.35 22447[0:Res:100.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,f2(u)) member(f23(w,f2(u)),first(v))*. % 299.97/300.35 22639[0:Res:71.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> subset(f3(u),w) member(f17(f3(u),w),second(v))*. % 299.97/300.35 22641[0:Res:99.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(f3(u),w) member(f23(f3(u),w),second(v))*. % 299.97/300.35 22655[0:Res:100.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,f3(u)) member(f23(w,f3(u)),second(v))*. % 299.97/300.35 23001[6:Res:1339.2,10857.1] || member(u,image(v,w)) subset(w,infinity) equal(successor(f22(u,v,w)),universal_set)** -> . % 299.97/300.35 23004[0:Res:1339.2,34.1] || member(u,image(v,w)) subset(w,complement(x)) member(f22(u,v,w),x)* -> . % 299.97/300.35 23005[0:Res:1339.2,10964.0] || member(u,image(v,w)) subset(w,complement(complement(x))) -> member(f22(u,v,w),x)*. % 299.97/300.35 23014[0:Res:1339.2,31.0] || member(u,image(v,w)) subset(w,intersection(x,y))* -> member(f22(u,v,w),x)*. % 299.97/300.35 23015[0:Res:1339.2,32.0] || member(u,image(v,w)) subset(w,intersection(x,y))* -> member(f22(u,v,w),y)*. % 299.97/300.35 23019[0:Res:1339.2,15955.0] || member(u,image(v,w)) subset(w,sigma(powerset(x))) -> member(f22(u,v,w),x)*. % 299.97/300.35 23021[0:Res:1339.2,282.0] || member(u,image(v,w)) subset(w,restrict(x,y))* -> member(f22(u,v,w),x)*. % 299.97/300.35 23093[6:Res:1274.2,10857.1] || member(u,apply(v,w)) subset(v,infinity) equal(successor(f28(u,v,w)),universal_set)** -> . % 299.97/300.35 23096[0:Res:1274.2,34.1] || member(u,apply(v,w)) subset(v,complement(x)) member(f28(u,v,w),x)* -> . % 299.97/300.35 23097[0:Res:1274.2,10964.0] || member(u,apply(v,w)) subset(v,complement(complement(x))) -> member(f28(u,v,w),x)*. % 299.97/300.35 23106[0:Res:1274.2,31.0] || member(u,apply(v,w)) subset(v,intersection(x,y))* -> member(f28(u,v,w),x)*. % 299.97/300.35 23107[0:Res:1274.2,32.0] || member(u,apply(v,w)) subset(v,intersection(x,y))* -> member(f28(u,v,w),y)*. % 299.97/300.35 23111[0:Res:1274.2,15955.0] || member(u,apply(v,w)) subset(v,sigma(powerset(x))) -> member(f28(u,v,w),x)*. % 299.97/300.35 23113[0:Res:1274.2,282.0] || member(u,apply(v,w)) subset(v,restrict(x,y))* -> member(f28(u,v,w),x)*. % 299.97/300.35 23177[6:Res:1350.1,10857.1] || member(u,image(v,intersection(infinity,w))) equal(successor(f22(u,v,intersection(infinity,w))),universal_set)** -> . % 299.97/300.35 23178[0:Res:1350.1,76.0] || member(u,image(v,intersection(powerset(w),x))) -> subset(f22(u,v,intersection(powerset(w),x)),w)*. % 299.97/300.35 23179[0:Res:1350.1,1444.0] || member(u,image(v,intersection(singleton_set(w),x)))* -> equal(f22(u,v,intersection(singleton_set(w),x)),w). % 299.97/300.35 23262[6:Res:1351.1,10857.1] || member(u,image(v,intersection(w,infinity))) equal(successor(f22(u,v,intersection(w,infinity))),universal_set)** -> . % 299.97/300.35 23263[0:Res:1351.1,76.0] || member(u,image(v,intersection(w,powerset(x)))) -> subset(f22(u,v,intersection(w,powerset(x))),x)*. % 299.97/300.35 23264[0:Res:1351.1,1444.0] || member(u,image(v,intersection(w,singleton_set(x))))* -> equal(f22(u,v,intersection(w,singleton_set(x))),x). % 299.97/300.35 23347[6:Res:1285.1,10857.1] || member(u,apply(intersection(infinity,v),w)) equal(successor(f28(u,intersection(infinity,v),w)),universal_set)** -> . % 299.97/300.35 23348[0:Res:1285.1,76.0] || member(u,apply(intersection(powerset(v),w),x)) -> subset(f28(u,intersection(powerset(v),w),x),v)*. % 299.97/300.35 23349[0:Res:1285.1,1444.0] || member(u,apply(intersection(singleton_set(v),w),x))* -> equal(f28(u,intersection(singleton_set(v),w),x),v). % 299.97/300.35 23448[6:Res:1286.1,10857.1] || member(u,apply(intersection(v,infinity),w)) equal(successor(f28(u,intersection(v,infinity),w)),universal_set)** -> . % 299.97/300.35 23449[0:Res:1286.1,76.0] || member(u,apply(intersection(v,powerset(w)),x)) -> subset(f28(u,intersection(v,powerset(w)),x),w)*. % 299.97/300.35 23450[0:Res:1286.1,1444.0] || member(u,apply(intersection(v,singleton_set(w)),x))* -> equal(f28(u,intersection(v,singleton_set(w)),x),w). % 299.97/300.35 23971[0:SSi:23948.0,371.0] || equal(ordered_pair(second(u),first(u)),v)* member(u,converse(w))* disjoint(singleton_set(v),w)* -> . % 299.97/300.35 23972[0:SSi:23947.0,371.0] || subset(ordered_pair(second(u),first(u)),v)* member(u,converse(w))* disjoint(powerset(v),w)* -> . % 299.97/300.35 24947[0:SSi:24929.0,11.0] little_set(u) || equal(non_ordered_pair(v,w),x)* equal(u,w)* -> member(u,sigma(singleton_set(x)))*. % 299.97/300.35 24948[0:SSi:24928.0,11.0] little_set(u) || subset(non_ordered_pair(v,w),x)* equal(u,w)* -> member(u,sigma(powerset(x)))*. % 299.97/300.35 25002[0:SSi:24985.0,11.0] little_set(u) || equal(non_ordered_pair(v,w),x)* equal(u,v)* -> member(u,sigma(singleton_set(x)))*. % 299.97/300.35 25003[0:SSi:24984.0,11.0] little_set(u) || subset(non_ordered_pair(v,w),x)* equal(u,v)* -> member(u,sigma(powerset(x)))*. % 299.97/300.35 25345[0:Res:13861.1,1563.1] || disjoint(u,second(f28(v,w,x)))* member(v,apply(w,x)) -> member(v,complement(u)). % 299.97/300.35 25401[0:Res:1544.2,76.0] || member(u,image(v,w)) subset(v,powerset(x)) -> subset(first(f22(u,v,w)),x)*. % 299.97/300.35 25402[0:Res:1544.2,1444.0] || member(u,image(v,w)) subset(v,singleton_set(x))* -> equal(first(f22(u,v,w)),x)*. % 299.97/300.35 25506[0:MRR:25476.0,1275.1] || equal(f28(u,v,w),x)* member(u,apply(v,w))* disjoint(singleton_set(x),v)* -> . % 299.97/300.35 25507[0:MRR:25475.0,1275.1] || subset(f28(u,v,w),x)* member(u,apply(v,w)) disjoint(powerset(x),v) -> . % 299.97/300.35 25640[0:MRR:25610.0,1340.1] || equal(f22(u,v,w),x)* member(u,image(v,w))* disjoint(singleton_set(x),w)* -> . % 299.97/300.35 25641[0:MRR:25609.0,1340.1] || subset(f22(u,v,w),x)* member(u,image(v,w)) disjoint(powerset(x),w) -> . % 299.97/300.35 25842[2:Res:1544.2,25810.0] || member(u,image(v,w)) subset(v,image(x,cross_product(first(f22(u,v,w)),y)))* -> . % 299.97/300.35 25979[2:Res:1544.2,25946.0] || member(u,image(v,w)) subset(v,image(intersection(first(f22(u,v,w)),x),y))* -> . % 299.97/300.35 26011[2:Res:1544.2,25950.0] || member(u,image(v,w)) subset(v,image(restrict(first(f22(u,v,w)),x),y))* -> . % 299.97/300.35 26209[2:Res:1544.2,26103.0] || member(u,image(v,w)) subset(v,image(intersection(x,first(f22(u,v,w))),y))* -> . % 299.97/300.35 26228[0:Res:13861.1,3654.2] || disjoint(u,intersection(v,w))* member(x,w)* member(x,v)* -> member(x,complement(u))*. % 299.97/300.35 26378[0:Res:13861.1,3812.0] || disjoint(u,v) -> equal(w,v) member(f1(w,v),w)* member(f1(w,v),complement(u))*. % 299.97/300.35 26409[7:Res:26333.1,1009.0] || subset(universal_set,converse(u))* subset(u,v)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)*. % 299.97/300.35 26507[0:Res:13861.1,3830.0] || disjoint(u,v) -> equal(v,w) member(f1(v,w),w)* member(f1(v,w),complement(u))*. % 299.97/300.35 26874[0:MRR:26846.0,1545.1] || member(u,image(v,w)) disjoint(complement(x),v) -> member(first(f22(u,v,w)),x)*. % 299.97/300.35 26935[0:Res:1543.2,15955.0] || member(u,image(v,w)) member(v,powerset(x)) -> member(first(f22(u,v,w)),x)*. % 299.97/300.35 26981[7:Res:26830.1,1015.0] || disjoint(universal_set,complement(converse(cross_product(u,v))))* -> member(second(ordered_pair(second(sigma(infinity)),first(sigma(infinity)))),v)*. % 299.97/300.35 26982[7:Res:26830.1,1014.0] || disjoint(universal_set,complement(converse(cross_product(u,v))))* -> member(first(ordered_pair(second(sigma(infinity)),first(sigma(infinity)))),u)*. % 299.97/300.35 27011[7:Res:26830.1,1421.0] || disjoint(universal_set,complement(ordered_pair(u,v)))* -> equal(non_ordered_pair(u,v),sigma(infinity)) equal(sigma(infinity),singleton_set(u)). % 299.97/300.35 27016[7:Res:26830.1,5018.1] ordered_pair_predicate(u) || disjoint(universal_set,complement(f2(u)))* equal(v,u)* -> member(sigma(infinity),first(v))*. % 299.97/300.35 27017[7:Res:26830.1,5063.1] ordered_pair_predicate(u) || disjoint(universal_set,complement(f3(u)))* equal(v,u)* -> member(sigma(infinity),second(v))*. % 299.97/300.35 27038[2:Res:1549.1,10966.0] || member(u,image(cross_product(v,w),x)) -> member(first(first(f22(u,cross_product(v,w),x))),universal_set)*. % 299.97/300.35 27126[7:Res:26831.1,1015.0] || disjoint(complement(converse(cross_product(u,v))),universal_set)* -> member(second(ordered_pair(second(sigma(infinity)),first(sigma(infinity)))),v)*. % 299.97/300.35 27127[7:Res:26831.1,1014.0] || disjoint(complement(converse(cross_product(u,v))),universal_set)* -> member(first(ordered_pair(second(sigma(infinity)),first(sigma(infinity)))),u)*. % 299.97/300.35 27156[7:Res:26831.1,1421.0] || disjoint(complement(ordered_pair(u,v)),universal_set)* -> equal(non_ordered_pair(u,v),sigma(infinity)) equal(sigma(infinity),singleton_set(u)). % 299.97/300.35 27161[7:Res:26831.1,5018.1] ordered_pair_predicate(u) || disjoint(complement(f2(u)),universal_set)* equal(v,u)* -> member(sigma(infinity),first(v))*. % 299.97/300.35 27162[7:Res:26831.1,5063.1] ordered_pair_predicate(u) || disjoint(complement(f3(u)),universal_set)* equal(v,u)* -> member(sigma(infinity),second(v))*. % 299.97/300.35 27183[2:Res:1550.1,10966.0] || member(u,image(cross_product(v,w),x)) -> member(second(first(f22(u,cross_product(v,w),x))),universal_set)*. % 299.97/300.35 28340[0:MRR:28313.0,5.0] || disjoint(complement(u),v) -> member(f1(w,v),u)* equal(w,v) member(f1(w,v),w)*. % 299.97/300.35 28714[0:MRR:28685.0,5.0] || disjoint(complement(u),v) -> member(f1(v,w),u)* equal(v,w) member(f1(v,w),w)*. % 299.97/300.35 31008[0:Obv:30984.1] || member(u,v) -> equal(f23(non_ordered_pair(u,w),complement(v)),w)** disjoint(non_ordered_pair(u,w),complement(v)). % 299.97/300.35 31009[0:Obv:30979.1] || member(u,v) -> equal(f23(non_ordered_pair(w,u),complement(v)),w)** disjoint(non_ordered_pair(w,u),complement(v)). % 299.97/300.35 31145[0:Obv:31121.1] || member(u,v) -> equal(f23(complement(v),non_ordered_pair(u,w)),w)** disjoint(complement(v),non_ordered_pair(u,w)). % 299.97/300.35 31146[0:Obv:31116.1] || member(u,v) -> equal(f23(complement(v),non_ordered_pair(w,u)),w)** disjoint(complement(v),non_ordered_pair(w,u)). % 299.97/300.35 31271[0:Obv:31252.1] || subset(u,v) -> equal(f17(non_ordered_pair(u,w),powerset(v)),w)** subset(non_ordered_pair(u,w),powerset(v)). % 299.97/300.35 31272[0:Obv:31246.1] || subset(u,v) -> equal(f17(non_ordered_pair(w,u),powerset(v)),w)** subset(non_ordered_pair(w,u),powerset(v)). % 299.97/300.35 32194[2:Res:1008.2,17676.0] || member(u,range_of(v)) member(f27(u,v),converse(apply_to_two_arguments(w,u,first(f27(u,v)))))* -> . % 299.97/300.35 32365[2:Res:1007.2,17676.0] || member(u,domain_of(v)) member(f8(u,v),converse(apply_to_two_arguments(w,second(f8(u,v)),u)))* -> . % 299.97/300.35 33400[7:Res:33376.1,1015.0] || member(universal_set,powerset(converse(cross_product(u,v))))* -> member(second(ordered_pair(second(sigma(infinity)),first(sigma(infinity)))),v)*. % 299.97/300.35 33401[7:Res:33376.1,1014.0] || member(universal_set,powerset(converse(cross_product(u,v))))* -> member(first(ordered_pair(second(sigma(infinity)),first(sigma(infinity)))),u)*. % 299.97/300.35 33430[7:Res:33376.1,1421.0] || member(universal_set,powerset(ordered_pair(u,v)))* -> equal(non_ordered_pair(u,v),sigma(infinity)) equal(sigma(infinity),singleton_set(u)). % 299.97/300.35 33440[7:Res:33376.1,5018.1] ordered_pair_predicate(u) || member(universal_set,powerset(f2(u)))* equal(v,u)* -> member(sigma(infinity),first(v))*. % 299.97/300.35 33441[7:Res:33376.1,5063.1] ordered_pair_predicate(u) || member(universal_set,powerset(f3(u)))* equal(v,u)* -> member(sigma(infinity),second(v))*. % 299.97/300.35 36356[0:Obv:36350.1] little_set(u) || member(v,domain_of(intersection(w,x)))* equal(u,v)* -> member(u,domain_of(x))*. % 299.97/300.35 36358[0:Obv:36348.1] little_set(u) || member(v,domain_of(intersection(w,x)))* equal(u,v)* -> member(u,domain_of(w))*. % 299.97/300.35 36517[0:Obv:36511.1] little_set(u) || member(v,range_of(intersection(w,x)))* equal(u,v)* -> member(u,range_of(x))*. % 299.97/300.35 36519[0:Obv:36509.1] little_set(u) || member(v,range_of(intersection(w,x)))* equal(u,v)* -> member(u,range_of(w))*. % 299.97/300.35 38674[3:Res:6210.3,17668.0] || member(u,v)* equal(ordered_pair(f19(second(u)),f20(second(u))),first(u))** -> single_valued_set(second(u)). % 299.97/300.35 38744[3:Res:6211.3,17668.0] || member(u,v)* equal(ordered_pair(f19(second(u)),f21(second(u))),first(u))** -> single_valued_set(second(u)). % 299.97/300.35 38917[3:Res:6207.3,17668.0] || member(u,range_of(second(v)))* member(v,w)* equal(f27(u,second(v)),first(v)) -> . % 299.97/300.35 39012[3:Res:6208.3,17668.0] || member(u,sigma(second(v)))* member(v,w)* equal(f16(u,second(v)),first(v)) -> . % 299.97/300.35 39058[3:Res:77.2,20705.0] little_set(complement(sigma(powerset(u)))) || subset(complement(sigma(powerset(u))),u)* -> member(infinity,sigma(powerset(u))). % 299.97/300.35 39059[3:Res:1079.2,20705.0] little_set(complement(sigma(singleton_set(u)))) || equal(complement(sigma(singleton_set(u))),u) -> member(infinity,sigma(singleton_set(u)))*. % 299.97/300.35 39087[3:Res:6209.3,17668.0] || member(u,domain_of(second(v)))* member(v,w)* equal(f8(u,second(v)),first(v)) -> . % 299.97/300.35 40545[3:Obv:40542.1] || member(first(f17(cross_product(u,v),cross_product(w,v))),w)* -> subset(cross_product(u,v),cross_product(w,v)). % 299.97/300.35 40667[2:Res:25246.0,1354.0] || -> equal(complement(image(u,cross_product(v,w))),universal_set) member(f1(universal_set,complement(image(u,cross_product(v,w)))),w)*. % 299.97/300.35 43608[14:Res:42571.1,1021.0] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),v)*. % 299.97/300.35 43609[14:Res:42571.1,1020.0] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),u)*. % 299.97/300.35 43664[14:Res:42571.1,5018.1] ordered_pair_predicate(u) || subset(universal_set,f2(u))* equal(v,u)* -> member(ordered_pair(universal_set,w),first(v))*. % 299.97/300.35 43665[14:Res:42571.1,5063.1] ordered_pair_predicate(u) || subset(universal_set,f3(u))* equal(v,u)* -> member(ordered_pair(universal_set,w),second(v))*. % 299.97/300.35 43998[2:Obv:43962.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)** single_valued_set(non_ordered_pair(u,v)) member(u,universal_set). % 299.97/300.35 43999[2:Obv:43938.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u)** single_valued_set(non_ordered_pair(u,v)) member(v,universal_set). % 299.97/300.35 44142[2:Obv:44105.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)** single_valued_set(non_ordered_pair(u,v)) member(u,universal_set). % 299.97/300.35 44143[2:Obv:44081.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u)** single_valued_set(non_ordered_pair(u,v)) member(v,universal_set). % 299.97/300.35 44240[3:Obv:44231.0] || member(u,v) equal(first(u),w) member(apply(v,w),image(second(u),x))* -> . % 299.97/300.35 59466[16:Rew:375.0,55198.1] || member(u,converse(powerset(cross_product(set_a,set_b)))) member(singleton_set(singleton_set(a)),ordered_pair(second(u),first(u)))* -> . % 299.97/300.35 59469[16:Rew:375.0,59468.1] || member(singleton_set(singleton_set(a)),apply(u,v)) disjoint(universal_set,second(f28(singleton_set(singleton_set(a)),u,v)))* -> . % 299.97/300.35 59472[16:Rew:375.0,59471.1] || member(singleton_set(singleton_set(a)),u)* member(singleton_set(singleton_set(a)),v)* disjoint(universal_set,intersection(v,u))* -> . % 299.97/300.35 55459[16:Rew:54986.0,48666.1] || -> equal(f26(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) member(ordered_pair(non_ordered_pair(u,v),u),f25)*. % 299.97/300.35 55460[16:Rew:54986.0,48665.1] || -> equal(f26(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) member(ordered_pair(non_ordered_pair(u,v),v),f25)*. % 299.97/300.35 59473[16:Rew:54986.0,55713.1,54986.0,55713.0] || member(second(powerset(a)),u) member(first(powerset(a)),v) -> member(a,sigma(cross_product(v,u)))*. % 299.97/300.35 55714[16:Rew:54986.0,50222.2] || member(second(sigma(infinity)),u) member(first(sigma(infinity)),v) -> member(a,sigma(cross_product(v,u)))*. % 299.97/300.35 59474[16:Rew:54986.0,55715.1,54986.0,55715.0] || member(second(singleton_set(a)),u) member(first(singleton_set(a)),v) -> member(a,sigma(cross_product(v,u)))*. % 299.97/300.35 59475[16:Rew:54986.0,55816.1] little_set(successor(estin)) || -> member(successor(a),union(u,v)) member(a,sigma(intersection(complement(u),complement(v))))*. % 299.97/300.35 59476[16:Rew:54986.0,55827.1,54986.0,55827.0] || member(successor(a),cross_product(u,universal_set))* member(successor(a),v) -> member(a,sigma(restrict(v,u)))*. % 299.97/300.35 55828[16:Rew:54986.0,51099.2] || member(sigma(infinity),cross_product(u,universal_set))* member(sigma(infinity),v) -> member(a,sigma(restrict(v,u)))*. % 299.97/300.35 59477[16:Rew:54986.0,55829.1,54986.0,55829.0] || member(singleton_set(a),cross_product(u,universal_set))* member(singleton_set(a),v) -> member(a,sigma(restrict(v,u)))*. % 299.97/300.35 55832[16:Rew:54986.0,51123.3] little_set(u) little_set(v) || member(powerset(w),v)* -> member(a,sigma(first(ordered_pair(v,u))))*. % 299.97/300.35 59478[16:Rew:54986.0,55833.2] little_set(u) little_set(v) || member(successor(a),v) -> member(a,sigma(first(ordered_pair(v,u))))*. % 299.97/300.35 55834[16:Rew:54986.0,51121.3] little_set(u) little_set(v) || member(sigma(infinity),v) -> member(a,sigma(first(ordered_pair(v,u))))*. % 299.97/300.35 59479[16:Rew:54986.0,55835.2] little_set(u) little_set(v) || member(singleton_set(a),v) -> member(a,sigma(first(ordered_pair(v,u))))*. % 299.97/300.35 55844[16:Rew:54986.0,51142.3] little_set(u) little_set(v) || member(powerset(w),u)* -> member(a,sigma(second(ordered_pair(v,u))))*. % 299.97/300.35 59480[16:Rew:54986.0,55845.2] little_set(u) little_set(v) || member(successor(a),u) -> member(a,sigma(second(ordered_pair(v,u))))*. % 299.97/300.35 55846[16:Rew:54986.0,51140.3] little_set(u) little_set(v) || member(sigma(infinity),u) -> member(a,sigma(second(ordered_pair(v,u))))*. % 299.97/300.35 59481[16:Rew:54986.0,55847.2] little_set(u) little_set(v) || member(singleton_set(a),u) -> member(a,sigma(second(ordered_pair(v,u))))*. % 299.97/300.35 56036[16:Rew:54986.0,48968.3] little_set(u) || subset(u,v)* subset(v,w)* -> equal(u,a) member(f26(u),w)*. % 299.97/300.35 56037[16:Rew:54986.0,48967.3] little_set(u) || subset(u,flip_range_of(v))* equal(w,f26(u))* -> equal(u,a) ordered_pair_predicate(w)*. % 299.97/300.35 56038[16:Rew:54986.0,48966.3] little_set(u) || subset(u,rotate_right(v))* equal(w,f26(u))* -> equal(u,a) ordered_pair_predicate(w)*. % 299.97/300.35 56039[16:Rew:54986.0,48965.2] little_set(u) || subset(u,restrict(v,w))* -> equal(u,a) member(f26(u),cross_product(w,universal_set))*. % 299.97/300.35 56040[16:Rew:54986.0,48964.2] little_set(u) || subset(u,image(v,cross_product(w,x)))* -> equal(u,a) member(f26(u),x). % 299.97/300.35 56041[16:Rew:54986.0,48956.2] || subset(u,intersection(complement(v),complement(w)))* member(f24(u),union(v,w)) -> equal(u,a). % 299.97/300.35 56042[16:Rew:54986.0,48928.3] little_set(u) || equal(f26(u),singleton_set(v)) disjoint(ordered_pair(v,w),u)* -> equal(u,a). % 299.97/300.35 56043[16:Rew:54986.0,48896.3] little_set(u) || subset(f25,infinity) equal(successor(ordered_pair(u,f26(u))),universal_set)** -> equal(u,a). % 299.97/300.35 56044[16:Rew:54986.0,48895.3] little_set(u) || subset(f25,complement(v)) member(ordered_pair(u,f26(u)),v)* -> equal(u,a). % 299.97/300.35 56045[16:Rew:54986.0,48894.2] little_set(u) || subset(f25,complement(complement(v))) -> equal(u,a) member(ordered_pair(u,f26(u)),v)*. % 299.97/300.35 56048[16:Rew:54986.0,48891.2] little_set(u) || subset(f25,intersection(v,w))* -> equal(u,a) member(ordered_pair(u,f26(u)),v)*. % 299.97/300.35 56049[16:Rew:54986.0,48890.2] little_set(u) || subset(f25,intersection(v,w))* -> equal(u,a) member(ordered_pair(u,f26(u)),w)*. % 299.97/300.35 56051[16:Rew:54986.0,48888.2] little_set(u) || subset(f25,sigma(powerset(v))) -> equal(u,a) member(ordered_pair(u,f26(u)),v)*. % 299.97/300.35 56052[16:Rew:54986.0,48887.2] little_set(u) || subset(f25,restrict(v,w))* -> equal(u,a) member(ordered_pair(u,f26(u)),v)*. % 299.97/300.35 56053[16:Rew:54986.0,48845.3] little_set(u) || equal(ordered_pair(u,f26(u)),v)* disjoint(singleton_set(v),f25)* -> equal(u,a). % 299.97/300.35 56054[16:Rew:54986.0,48844.3] little_set(u) || subset(ordered_pair(u,f26(u)),v)* disjoint(powerset(v),f25) -> equal(u,a). % 299.97/300.35 59482[16:Rew:54986.0,56057.2] little_set(u) || -> equal(u,a) equal(ordered_pair(u,f26(u)),a) ordered_pair_predicate(f26(ordered_pair(u,f26(u))))*. % 299.97/300.35 56478[16:Rew:54986.0,49475.2] || subset(universal_set,converse(u))* subset(u,v)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)*. % 299.97/300.35 56487[16:Rew:54986.0,49483.1] || disjoint(universal_set,complement(converse(cross_product(u,v))))* -> member(second(ordered_pair(second(singleton_set(a)),first(singleton_set(a)))),v)*. % 299.97/300.35 56488[16:Rew:54986.0,49482.1] || disjoint(complement(converse(cross_product(u,v))),universal_set)* -> member(second(ordered_pair(second(singleton_set(a)),first(singleton_set(a)))),v)*. % 299.97/300.35 56489[16:Rew:54986.0,49481.1] || member(universal_set,powerset(converse(cross_product(u,v))))* -> member(second(ordered_pair(second(singleton_set(a)),first(singleton_set(a)))),v)*. % 299.97/300.35 56491[16:Rew:54986.0,49487.1] || disjoint(universal_set,complement(converse(cross_product(u,v))))* -> member(first(ordered_pair(second(singleton_set(a)),first(singleton_set(a)))),u)*. % 299.97/300.35 56492[16:Rew:54986.0,49486.1] || disjoint(complement(converse(cross_product(u,v))),universal_set)* -> member(first(ordered_pair(second(singleton_set(a)),first(singleton_set(a)))),u)*. % 299.97/300.35 56493[16:Rew:54986.0,49485.1] || member(universal_set,powerset(converse(cross_product(u,v))))* -> member(first(ordered_pair(second(singleton_set(a)),first(singleton_set(a)))),u)*. % 299.97/300.35 59483[16:Rew:54986.0,56511.1] || disjoint(universal_set,complement(ordered_pair(u,v)))* -> equal(non_ordered_pair(u,v),singleton_set(a)) equal(singleton_set(a),singleton_set(u)). % 299.97/300.35 59484[16:Rew:54986.0,56512.1] || disjoint(complement(ordered_pair(u,v)),universal_set)* -> equal(non_ordered_pair(u,v),singleton_set(a)) equal(singleton_set(a),singleton_set(u)). % 299.97/300.35 59485[16:Rew:54986.0,56513.1] || member(universal_set,powerset(ordered_pair(u,v)))* -> equal(non_ordered_pair(u,v),singleton_set(a)) equal(singleton_set(a),singleton_set(u)). % 299.97/300.35 56575[16:Rew:54986.0,49574.3] ordered_pair_predicate(u) || disjoint(universal_set,complement(f2(u)))* equal(v,u)* -> member(singleton_set(a),first(v))*. % 299.97/300.35 56576[16:Rew:54986.0,49573.3] ordered_pair_predicate(u) || disjoint(complement(f2(u)),universal_set)* equal(v,u)* -> member(singleton_set(a),first(v))*. % 299.97/300.35 56577[16:Rew:54986.0,49572.3] ordered_pair_predicate(u) || member(universal_set,powerset(f2(u)))* equal(v,u)* -> member(singleton_set(a),first(v))*. % 299.97/300.35 56579[16:Rew:54986.0,49578.3] ordered_pair_predicate(u) || disjoint(universal_set,complement(f3(u)))* equal(v,u)* -> member(singleton_set(a),second(v))*. % 299.97/300.35 56580[16:Rew:54986.0,49577.3] ordered_pair_predicate(u) || disjoint(complement(f3(u)),universal_set)* equal(v,u)* -> member(singleton_set(a),second(v))*. % 299.97/300.35 56581[16:Rew:54986.0,49576.3] ordered_pair_predicate(u) || member(universal_set,powerset(f3(u)))* equal(v,u)* -> member(singleton_set(a),second(v))*. % 299.97/300.35 59486[16:Rew:54986.0,56583.1] || equal(intersection(u,v),singleton_set(a)) -> equal(intersection(u,v),a) member(f26(intersection(u,v)),v)*. % 299.97/300.35 59487[16:Rew:54986.0,56584.1] || equal(intersection(u,v),singleton_set(a)) -> equal(intersection(u,v),a) member(f26(intersection(u,v)),u)*. % 299.97/300.35 56806[16:Rew:54986.0,50392.2] || subset(universal_set,converse(u))* subset(u,v)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),v)*. % 299.97/300.35 56811[16:Rew:54986.0,50399.1] || disjoint(complement(converse(cross_product(u,v))),universal_set)* -> member(first(ordered_pair(second(powerset(a)),first(powerset(a)))),u)*. % 299.97/300.35 56812[16:Rew:54986.0,50398.1] || disjoint(universal_set,complement(converse(cross_product(u,v))))* -> member(first(ordered_pair(second(powerset(a)),first(powerset(a)))),u)*. % 299.97/300.35 56813[16:Rew:54986.0,50397.1] || member(universal_set,powerset(converse(cross_product(u,v))))* -> member(first(ordered_pair(second(powerset(a)),first(powerset(a)))),u)*. % 299.97/300.35 56815[16:Rew:54986.0,50403.1] || disjoint(complement(converse(cross_product(u,v))),universal_set)* -> member(second(ordered_pair(second(powerset(a)),first(powerset(a)))),v)*. % 299.97/300.35 56816[16:Rew:54986.0,50402.1] || disjoint(universal_set,complement(converse(cross_product(u,v))))* -> member(second(ordered_pair(second(powerset(a)),first(powerset(a)))),v)*. % 299.97/300.35 56817[16:Rew:54986.0,50401.1] || member(universal_set,powerset(converse(cross_product(u,v))))* -> member(second(ordered_pair(second(powerset(a)),first(powerset(a)))),v)*. % 299.97/300.35 59488[16:Rew:54986.0,56834.2] || member(u,apply(v,w)) member(u,powerset(a)) -> member(a,second(f28(u,v,w)))*. % 299.97/300.35 59489[16:Rew:54986.0,56835.3] || member(u,v)* member(u,w)* member(u,powerset(a))* -> member(a,intersection(w,v))*. % 299.97/300.35 59490[16:Rew:54986.0,56857.1] || disjoint(complement(ordered_pair(u,v)),universal_set)* -> equal(non_ordered_pair(u,v),powerset(a)) equal(powerset(a),singleton_set(u)). % 299.97/300.35 59491[16:Rew:54986.0,56858.1] || disjoint(universal_set,complement(ordered_pair(u,v)))* -> equal(non_ordered_pair(u,v),powerset(a)) equal(powerset(a),singleton_set(u)). % 299.97/300.35 59492[16:Rew:54986.0,56859.1] || member(universal_set,powerset(ordered_pair(u,v)))* -> equal(non_ordered_pair(u,v),powerset(a)) equal(powerset(a),singleton_set(u)). % 299.97/300.35 56890[16:Rew:54986.0,50423.1] || subset(union(u,v),intersection(complement(u),complement(v)))* -> member(powerset(a),intersection(complement(u),complement(v))). % 299.97/300.35 56916[16:Rew:54986.0,50498.3] ordered_pair_predicate(u) || member(universal_set,powerset(f2(u)))* equal(v,u)* -> member(powerset(a),first(v))*. % 299.97/300.35 56917[16:Rew:54986.0,50497.3] ordered_pair_predicate(u) || disjoint(complement(f2(u)),universal_set)* equal(v,u)* -> member(powerset(a),first(v))*. % 299.97/300.35 56918[16:Rew:54986.0,50496.3] ordered_pair_predicate(u) || disjoint(universal_set,complement(f2(u)))* equal(v,u)* -> member(powerset(a),first(v))*. % 299.97/300.35 56920[16:Rew:54986.0,50502.3] ordered_pair_predicate(u) || member(universal_set,powerset(f3(u)))* equal(v,u)* -> member(powerset(a),second(v))*. % 299.97/300.35 56921[16:Rew:54986.0,50501.3] ordered_pair_predicate(u) || disjoint(complement(f3(u)),universal_set)* equal(v,u)* -> member(powerset(a),second(v))*. % 299.97/300.35 56922[16:Rew:54986.0,50500.3] ordered_pair_predicate(u) || disjoint(universal_set,complement(f3(u)))* equal(v,u)* -> member(powerset(a),second(v))*. % 299.97/300.35 59493[16:Rew:54986.0,56924.1] || equal(intersection(u,v),powerset(a)) -> equal(intersection(u,v),a) member(f26(intersection(u,v)),u)*. % 299.97/300.35 59494[16:Rew:54986.0,56925.1] || equal(intersection(u,v),powerset(a)) -> equal(intersection(u,v),a) member(f26(intersection(u,v)),v)*. % 299.97/300.35 59496[16:Rew:54986.0,57178.1] || subset(f25,non_ordered_pair(u,v))* -> equal(ordered_pair(powerset(a),a),v) equal(ordered_pair(powerset(a),a),u). % 299.97/300.35 59497[16:Rew:54986.0,57179.1] || subset(universal_set,non_ordered_pair(u,v))* -> equal(ordered_pair(powerset(a),a),v) equal(ordered_pair(powerset(a),a),u). % 299.97/300.35 59498[16:Rew:54986.0,57247.1] || subset(f25,second(f8(ordered_pair(powerset(a),a),u)))* member(ordered_pair(powerset(a),a),domain_of(u)) -> . % 299.97/300.35 59499[16:Rew:54986.0,57248.1] || subset(universal_set,second(f8(ordered_pair(powerset(a),a),u)))* member(ordered_pair(powerset(a),a),domain_of(u)) -> . % 299.97/300.35 57389[16:Rew:54986.0,50092.1] little_set(converse(u)) || -> equal(converse(u),a) ordered_pair_predicate(ordered_pair(second(f26(converse(u))),first(f26(converse(u)))))*. % 299.97/300.35 57662[16:Rew:54986.0,49074.1] || equal(intersection(u,v),sigma(infinity)) -> equal(intersection(u,v),a) member(f26(intersection(u,v)),v)*. % 299.97/300.35 57663[16:Rew:54986.0,49073.1] || equal(intersection(u,v),sigma(infinity)) -> equal(intersection(u,v),a) member(f26(intersection(u,v)),u)*. % 299.97/300.35 57689[16:Rew:54986.0,48642.1] || equal(cross_product(u,v),infinity) -> equal(cross_product(u,v),a) member(second(f26(cross_product(u,v))),v)*. % 299.97/300.36 57691[16:Rew:54986.0,48636.1] || equal(cross_product(u,v),infinity) -> equal(cross_product(u,v),a) member(first(f26(cross_product(u,v))),u)*. % 299.97/300.36 57712[16:Rew:54986.0,49104.1] little_set(restrict(u,v)) || -> equal(restrict(u,v),a) member(f26(restrict(u,v)),cross_product(v,universal_set))*. % 299.97/300.36 59500[16:Rew:54986.0,57754.1] || member(u,domain_of(union(v,a))) member(f8(u,union(v,a)),intersection(complement(v),universal_set))* -> . % 299.97/300.36 59501[16:Rew:54986.0,57755.1] || member(u,sigma(union(v,a))) member(f16(u,union(v,a)),intersection(complement(v),universal_set))* -> . % 299.97/300.36 59502[16:Rew:54986.0,57756.1] || member(u,range_of(union(v,a))) member(f27(u,union(v,a)),intersection(complement(v),universal_set))* -> . % 299.97/300.36 57758[16:Rew:54986.0,50073.0] || member(u,intersection(union(v,a),complement(w))) member(u,union(intersection(complement(v),universal_set),w))* -> . % 299.97/300.36 57760[16:Rew:54986.0,50075.1] little_set(u) || subset(union(v,a),w)* -> member(u,intersection(complement(v),universal_set))* member(u,w)*. % 299.97/300.36 59503[16:Rew:54986.0,57782.1] || member(u,domain_of(union(a,v))) member(f8(u,union(a,v)),intersection(universal_set,complement(v)))* -> . % 299.97/300.36 59504[16:Rew:54986.0,57783.1] || member(u,sigma(union(a,v))) member(f16(u,union(a,v)),intersection(universal_set,complement(v)))* -> . % 299.97/300.36 59505[16:Rew:54986.0,57784.1] || member(u,range_of(union(a,v))) member(f27(u,union(a,v)),intersection(universal_set,complement(v)))* -> . % 299.97/300.36 57786[16:Rew:54986.0,49934.0] || member(u,intersection(union(a,v),complement(w))) member(u,union(intersection(universal_set,complement(v)),w))* -> . % 299.97/300.36 57788[16:Rew:54986.0,49936.1] little_set(u) || subset(union(a,v),w)* -> member(u,intersection(universal_set,complement(v)))* member(u,w)*. % 299.97/300.36 57954[16:Rew:54986.0,51328.2] || subset(intersection(f25,u),v) -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f21(intersection(f25,u))),v)*. % 299.97/300.36 57962[16:Rew:54986.0,51336.2] || subset(intersection(f25,u),v) -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f20(intersection(f25,u))),v)*. % 299.97/300.36 57970[16:Rew:54986.0,51344.2] || subset(intersection(u,f25),v) -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f21(intersection(u,f25))),v)*. % 299.97/300.36 57978[16:Rew:54986.0,51352.2] || subset(intersection(u,f25),v) -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f20(intersection(u,f25))),v)*. % 299.97/300.36 57984[16:Rew:54986.0,51397.2] || subset(restrict(f25,u),v) -> single_valued_set(restrict(f25,u)) member(ordered_pair(a,f21(restrict(f25,u))),v)*. % 299.97/300.36 57990[16:Rew:54986.0,51403.2] || subset(restrict(f25,u),v) -> single_valued_set(restrict(f25,u)) member(ordered_pair(a,f20(restrict(f25,u))),v)*. % 299.97/300.36 58070[16:Rew:54986.0,50229.3] little_set(u) || member(f26(complement(v)),v)* equal(u,complement(v))* -> equal(complement(v),a). % 299.97/300.36 59506[16:Rew:54986.0,58169.3] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),a) member(f1(f2(u),a),first(v))*. % 299.97/300.36 59507[16:Rew:54986.0,58170.3] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),a) member(f1(a,f2(u)),first(v))*. % 299.97/300.36 58187[16:Rew:54986.0,51060.1] || member(u,first(v)) -> equal(singleton_set(f4(u,v)),a) member(u,sigma(singleton_set(f4(u,v))))*. % 299.97/300.36 58188[16:Rew:54986.0,51059.2] || member(u,first(v)) member(u,singleton_set(f4(u,v)))* -> equal(singleton_set(f4(u,v)),a). % 299.97/300.36 58224[16:Rew:54986.0,50882.2] little_set(u) || subset(u,v) -> equal(singleton_set(powerset(v)),a) member(u,sigma(singleton_set(powerset(v))))*. % 299.97/300.36 58230[16:Rew:54986.0,51039.2] little_set(powerset(u)) || -> member(powerset(u),union(v,w))* member(a,sigma(intersection(complement(v),complement(w))))*. % 299.97/300.36 58271[16:Rew:54986.0,50171.0] || -> equal(cross_product(u,restrict(v,w)),a) member(second(f24(cross_product(u,restrict(v,w)))),cross_product(w,universal_set))*. % 299.97/300.36 58277[16:Rew:54986.0,50192.0] || -> equal(cross_product(restrict(u,v),w),a) member(first(f24(cross_product(restrict(u,v),w))),cross_product(v,universal_set))*. % 299.97/300.36 58281[16:Rew:54986.0,50233.0] || member(u,intersection(complement(v),union(w,a))) member(u,union(v,intersection(complement(w),universal_set)))* -> . % 299.97/300.36 58287[16:Rew:54986.0,50239.0] || member(u,intersection(complement(v),union(a,w))) member(u,union(v,intersection(universal_set,complement(w))))* -> . % 299.97/300.36 58295[16:Rew:54986.0,50854.2] || member(ordered_pair(universal_set,u),v)* member(ordered_pair(universal_set,u),w)* -> member(a,sigma(intersection(w,v)))*. % 299.97/300.36 59508[16:Rew:54986.0,58355.3] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),a) member(f1(f3(u),a),second(v))*. % 299.97/300.36 59509[16:Rew:54986.0,58356.3] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),a) member(f1(a,f3(u)),second(v))*. % 299.97/300.36 58361[16:Rew:54986.0,50177.0] || -> equal(cross_product(u,domain_of(cross_product(v,w))),a) member(second(f24(cross_product(u,domain_of(cross_product(v,w))))),v)*. % 299.97/300.36 58362[16:Rew:54986.0,50178.0] || -> equal(cross_product(u,range_of(cross_product(v,w))),a) member(second(f24(cross_product(u,range_of(cross_product(v,w))))),w)*. % 299.97/300.36 58363[16:Rew:54986.0,50198.0] || -> equal(cross_product(domain_of(cross_product(u,v)),w),a) member(first(f24(cross_product(domain_of(cross_product(u,v)),w))),u)*. % 299.97/300.36 58364[16:Rew:54986.0,50199.0] || -> equal(cross_product(range_of(cross_product(u,v)),w),a) member(first(f24(cross_product(range_of(cross_product(u,v)),w))),v)*. % 299.97/300.36 58365[16:Rew:54986.0,50206.3] little_set(u) little_set(v) || disjoint(v,universal_set) maps(u,a,v)* -> closed(v,u). % 299.97/300.36 58366[16:Rew:54986.0,50313.1] || equal(u,f24(intersection(compose(v,w),x)))* -> equal(intersection(compose(v,w),x),a) ordered_pair_predicate(u)*. % 299.97/300.36 58367[16:Rew:54986.0,50314.1] || equal(u,f24(intersection(v,compose(w,x))))* -> equal(intersection(v,compose(w,x)),a) ordered_pair_predicate(u)*. % 299.97/300.36 58371[16:Rew:54986.0,50913.1] || member(f24(intersection(complement(u),complement(v))),union(u,v))* -> equal(intersection(complement(u),complement(v)),a). % 299.97/300.36 58372[16:Rew:54986.0,51010.0] || equal(first(f22(ordered_pair(universal_set,u),v,w)),a)** member(ordered_pair(universal_set,u),image(v,w)) -> . % 299.97/300.36 58373[16:Rew:54986.0,51047.1] || member(u,second(v)) -> equal(singleton_set(f7(u,v)),a) member(u,sigma(singleton_set(f7(u,v))))*. % 299.97/300.36 58374[16:Rew:54986.0,51046.2] || member(u,second(v)) member(u,singleton_set(f7(u,v)))* -> equal(singleton_set(f7(u,v)),a). % 299.97/300.36 58375[16:Rew:54986.0,51071.1] || member(u,sigma(v)) -> equal(singleton_set(f16(u,v)),a) member(u,sigma(singleton_set(f16(u,v))))*. % 299.97/300.36 58376[16:Rew:54986.0,51070.2] || member(u,sigma(v)) member(u,singleton_set(f16(u,v)))* -> equal(singleton_set(f16(u,v)),a). % 299.97/300.36 58377[16:Rew:54986.0,51069.2] || member(u,sigma(v)) disjoint(singleton_set(f16(u,v)),v)* -> equal(singleton_set(f16(u,v)),a). % 299.97/300.36 58378[16:Rew:54986.0,51091.2] || member(u,domain_of(v)) disjoint(singleton_set(f8(u,v)),v)* -> equal(singleton_set(f8(u,v)),a). % 299.97/300.36 58379[16:Rew:54986.0,51094.2] || member(u,range_of(v)) disjoint(singleton_set(f27(u,v)),v)* -> equal(singleton_set(f27(u,v)),a). % 299.97/300.36 58381[16:Rew:54986.0,51103.2] || member(powerset(u),cross_product(v,universal_set))* member(powerset(u),w)* -> member(a,sigma(restrict(w,v)))*. % 299.97/300.36 58384[16:Rew:54986.0,51202.1] || member(u,apply(v,w)) -> equal(f28(u,v,w),a) ordered_pair_predicate(f26(f28(u,v,w)))*. % 299.97/300.36 58386[16:Rew:54986.0,51207.1] || member(u,image(v,w)) -> equal(f22(u,v,w),a) ordered_pair_predicate(f26(f22(u,v,w)))*. % 299.97/300.36 58390[16:Rew:54986.0,51472.1] || member(ordered_pair(universal_set,u),apply(v,w)) -> member(a,sigma(second(f28(ordered_pair(universal_set,u),v,w))))*. % 299.97/300.36 58391[16:Rew:54986.0,51494.2] || member(u,range_of(powerset(f25))) -> single_valued_set(f27(u,powerset(f25))) equal(f19(f27(u,powerset(f25))),a)**. % 299.97/300.36 58392[16:Rew:54986.0,51495.2] || member(u,sigma(powerset(f25))) -> single_valued_set(f16(u,powerset(f25))) equal(f19(f16(u,powerset(f25))),a)**. % 299.97/300.36 58393[16:Rew:54986.0,51496.2] || member(u,domain_of(powerset(f25))) -> single_valued_set(f8(u,powerset(f25))) equal(f19(f8(u,powerset(f25))),a)**. % 299.97/300.36 58394[16:Rew:54986.0,51571.1] || member(u,apply_to_two_arguments(v,universal_set,w)) -> member(a,sigma(complement(second(f28(u,v,ordered_pair(universal_set,w))))))*. % 299.97/300.36 65577[0:SSi:65555.0,371.0] little_set(u) single_valued_set(universal_set) || member(v,compose(universal_set,w))* -> equal(u,f31(v,universal_set,w))*. % 299.97/300.36 67213[0:Obv:67205.1] little_set(u) || member(v,rotate_right(intersection(w,x)))* equal(u,v)* -> member(u,rotate_right(x))*. % 299.97/300.36 67215[0:Obv:67203.1] little_set(u) || member(v,rotate_right(intersection(w,x)))* equal(u,v)* -> member(u,rotate_right(w))*. % 299.97/300.36 67425[0:Obv:67417.1] little_set(u) || member(v,flip_range_of(intersection(w,x)))* equal(u,v)* -> member(u,flip_range_of(x))*. % 299.97/300.36 67427[0:Obv:67415.1] little_set(u) || member(v,flip_range_of(intersection(w,x)))* equal(u,v)* -> member(u,flip_range_of(w))*. % 299.97/300.36 67540[16:Res:384.1,58846.0] little_set(successor(a)) || -> member(successor(a),union(u,v)) member(a,sigma(intersection(complement(u),complement(v))))*. % 299.97/300.36 67886[2:MRR:67885.3,10966.1] little_set(u) single_valued_set(universal_set) || member(v,compose(w,x))* -> equal(u,f30(v,w,x))*. % 299.97/300.36 78648[16:Res:118.1,56189.0] || member(u,apply(v,w)) -> equal(f28(u,v,w),a) little_set(f26(f28(u,v,w)))*. % 299.97/300.36 78673[16:Res:93.1,56189.0] || member(u,image(v,w)) -> equal(f22(u,v,w),a) little_set(f26(f22(u,v,w)))*. % 299.97/300.36 78719[16:Res:55072.2,56189.0] little_set(u) || -> equal(u,a) equal(ordered_pair(u,f26(u)),a) little_set(f26(ordered_pair(u,f26(u))))*. % 299.97/300.36 82529[0:Rew:3822.2,82524.3] || subset(u,v) -> equal(w,singleton_set(u)) member(f1(w,singleton_set(u)),w)* member(u,powerset(v))*. % 299.97/300.36 82530[0:Rew:3840.2,82523.3] || subset(u,v) -> equal(singleton_set(u),w) member(f1(singleton_set(u),w),w)* member(u,powerset(v))*. % 299.97/300.36 82658[0:Res:82575.0,3652.3] || member(u,v)* member(u,w)* member(u,singleton_set(x))* -> member(x,intersection(w,v))*. % 299.97/300.36 82678[0:Res:82575.0,1561.2] || member(u,apply(v,w)) member(u,singleton_set(x)) -> member(x,second(f28(u,v,w)))*. % 299.97/300.36 82815[16:Res:82637.1,1542.1] || equal(first(f22(u,v,w)),a)** member(u,image(v,w)) disjoint(set_b,v) -> . % 299.97/300.36 82968[3:Res:82638.1,1542.1] || equal(first(f22(u,v,w)),a)** member(u,image(v,w)) disjoint(set_a,v) -> . % 299.97/300.36 83123[16:Res:82641.1,1542.1] || equal(first(f22(u,v,w)),a)** member(u,image(v,w)) disjoint(infinity,v) -> . % 299.97/300.36 83914[16:Res:94.1,83606.1] || member(u,image(f24(powerset(v)),w)) subset(first(f22(u,f24(powerset(v)),w)),v)* -> . % 299.97/300.36 83935[16:Res:538.1,83606.1] || subset(second(f23(cross_product(u,f24(powerset(v))),w)),v)* -> disjoint(cross_product(u,f24(powerset(v))),w). % 299.97/300.36 83936[16:Res:539.1,83606.1] || subset(second(f17(cross_product(u,f24(powerset(v))),w)),v)* -> subset(cross_product(u,f24(powerset(v))),w). % 299.97/300.36 83945[16:Res:543.1,83606.1] || subset(second(f23(u,cross_product(v,f24(powerset(w))))),w)* -> disjoint(u,cross_product(v,f24(powerset(w)))). % 299.97/300.36 83974[16:Res:4115.1,83606.1] ordered_pair_predicate(u) || subset(ordered_pair(second(u),first(u)),v)* -> member(u,converse(complement(f24(powerset(v))))). % 299.97/300.36 84001[16:Res:551.1,83606.1] || subset(first(f23(cross_product(f24(powerset(u)),v),w)),u)* -> disjoint(cross_product(f24(powerset(u)),v),w). % 299.97/300.36 84002[16:Res:552.1,83606.1] || subset(first(f17(cross_product(f24(powerset(u)),v),w)),u)* -> subset(cross_product(f24(powerset(u)),v),w). % 299.97/300.36 84007[16:Res:556.1,83606.1] || subset(first(f23(u,cross_product(f24(powerset(v)),w))),v)* -> disjoint(u,cross_product(f24(powerset(v)),w)). % 299.97/300.36 84104[2:Res:94.1,25433.0] || member(u,image(image(v,w),x)) subset(v,first(f22(u,image(v,w),x)))* -> . % 299.97/300.36 84125[2:Res:538.1,25433.0] || subset(u,second(f23(cross_product(v,image(u,w)),x)))* -> disjoint(cross_product(v,image(u,w)),x). % 299.97/300.36 84126[2:Res:539.1,25433.0] || subset(u,second(f17(cross_product(v,image(u,w)),x)))* -> subset(cross_product(v,image(u,w)),x). % 299.97/300.36 84135[2:Res:543.1,25433.0] || subset(u,second(f23(v,cross_product(w,image(u,x)))))* -> disjoint(v,cross_product(w,image(u,x))). % 299.97/300.36 84164[2:Res:4115.1,25433.0] ordered_pair_predicate(u) || subset(v,ordered_pair(second(u),first(u)))* -> member(u,converse(complement(image(v,w))))*. % 299.97/300.36 84191[2:Res:551.1,25433.0] || subset(u,first(f23(cross_product(image(u,v),w),x)))* -> disjoint(cross_product(image(u,v),w),x). % 299.97/300.36 84192[2:Res:552.1,25433.0] || subset(u,first(f17(cross_product(image(u,v),w),x)))* -> subset(cross_product(image(u,v),w),x). % 299.97/300.36 84197[2:Res:556.1,25433.0] || subset(u,first(f23(v,cross_product(image(u,w),x))))* -> disjoint(v,cross_product(image(u,w),x)). % 299.97/300.36 86629[16:MRR:86573.4,55029.0] || member(u,cross_product(v,w))* equal(first(u),x)* -> member(x,v)* equal(second(u),a). % 299.97/300.36 86761[3:SoR:10938.0,4238.2] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),v)* member(v,compose(w,x))* -> . % 299.97/300.36 87673[16:Res:82665.1,1227.1] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(v))* disjoint(sigma(infinity),v) -> . % 299.97/300.36 87681[16:Res:82665.1,56081.1] little_set(u) || equal(ordered_pair(u,f26(u)),a)** disjoint(sigma(infinity),f25) -> equal(u,a). % 299.97/300.36 87684[16:Res:82665.1,1554.1] || equal(first(f22(u,complement(sigma(infinity)),v)),a)** member(u,image(complement(sigma(infinity)),v)) -> . % 299.97/300.36 87686[16:Res:82665.1,1337.1] || equal(f22(u,v,w),a) member(u,image(v,w))* disjoint(sigma(infinity),w) -> . % 299.97/300.36 87688[16:Res:82665.1,1272.1] || equal(f28(u,v,w),a) member(u,apply(v,w))* disjoint(sigma(infinity),v) -> . % 299.97/300.36 87827[16:Res:82681.1,1227.1] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(v))* disjoint(successor(a),v) -> . % 299.97/300.36 87835[16:Res:82681.1,56081.1] little_set(u) || equal(ordered_pair(u,f26(u)),a)** disjoint(successor(a),f25) -> equal(u,a). % 299.97/300.36 87838[16:Res:82681.1,1554.1] || equal(first(f22(u,complement(successor(a)),v)),a)** member(u,image(complement(successor(a)),v)) -> . % 299.97/300.36 87840[16:Res:82681.1,1337.1] || equal(f22(u,v,w),a) member(u,image(v,w))* disjoint(successor(a),w) -> . % 299.97/300.36 87842[16:Res:82681.1,1272.1] || equal(f28(u,v,w),a) member(u,apply(v,w))* disjoint(successor(a),v) -> . % 299.97/300.36 87958[16:Rew:87905.1,58537.2] || equal(f1(u,complement(ordered_pair(universal_set,v))),a)** -> equal(u,complement(ordered_pair(universal_set,v))) member(a,u). % 299.97/300.36 87959[16:Rew:87905.1,58539.1] || equal(f1(ordered_pair(universal_set,u),complement(v)),a)** -> member(a,v) equal(ordered_pair(universal_set,u),complement(v)). % 299.97/300.36 87960[16:Rew:87905.1,58538.2] || equal(f1(complement(ordered_pair(universal_set,u)),v),a)** -> equal(complement(ordered_pair(universal_set,u)),v) member(a,v). % 299.97/300.36 87980[16:Rew:87905.1,58103.3] || equal(f1(u,v),a)** disjoint(ordered_pair(universal_set,w),u)* -> equal(u,v) member(a,v). % 299.97/300.36 87987[16:Rew:87905.1,58102.3] || equal(f1(u,v),a)** disjoint(ordered_pair(universal_set,w),v)* -> equal(u,v) member(a,u). % 299.97/300.36 88114[3:Res:82671.1,1225.1] || equal(f8(u,v),infinity) member(u,domain_of(v)) disjoint(singleton_set(f8(u,v)),v)* -> . % 299.97/300.36 88115[3:Res:82671.1,1224.1] || equal(f16(u,v),infinity) member(u,sigma(v)) disjoint(singleton_set(f16(u,v)),v)* -> . % 299.97/300.36 88116[3:Res:82671.1,1138.1] || equal(f16(u,v),infinity) member(u,sigma(v)) -> member(u,sigma(singleton_set(f16(u,v))))*. % 299.97/300.36 88117[3:Res:82671.1,1223.1] || equal(f27(u,v),infinity) member(u,range_of(v)) disjoint(singleton_set(f27(u,v)),v)* -> . % 299.97/300.36 88119[3:Res:82671.1,1139.1] || equal(f7(u,v),infinity) member(u,second(v)) -> member(u,sigma(singleton_set(f7(u,v))))*. % 299.97/300.36 88120[3:Res:82671.1,1140.1] || equal(f4(u,v),infinity) member(u,first(v)) -> member(u,sigma(singleton_set(f4(u,v))))*. % 299.97/300.36 88121[3:Res:82671.1,1136.2] little_set(u) || equal(powerset(v),infinity) subset(u,v) -> member(u,sigma(singleton_set(powerset(v))))*. % 299.97/300.36 88335[3:Res:88326.1,3829.0] || -> member(infinity,u) equal(infinity,v) member(f1(infinity,v),v)* member(f1(infinity,v),sigma(complement(u)))*. % 299.97/300.36 88336[3:Res:88326.1,3811.0] || -> member(infinity,u) equal(v,infinity) member(f1(v,infinity),v)* member(f1(v,infinity),sigma(complement(u)))*. % 299.97/300.36 88399[16:Res:57853.0,4238.0] || equal(u,f24(complement(complement(compose(v,w)))))* -> equal(complement(complement(compose(v,w))),a) ordered_pair_predicate(u)*. % 299.97/300.36 88658[16:Res:88372.0,1563.1] || member(u,apply(v,w)) -> member(a,complement(singleton_set(second(f28(u,v,w)))))* member(u,x)*. % 299.97/300.36 88659[16:Res:88372.0,3654.2] || member(u,v)* member(u,w)* -> member(a,complement(singleton_set(intersection(w,v))))* member(u,x)*. % 299.97/300.36 88925[16:Res:35.2,57904.0] little_set(complement(sigma(complement(u)))) || -> member(complement(sigma(complement(u))),u)* equal(complement(sigma(complement(u))),a). % 299.97/300.36 89153[0:Res:286.1,14370.1] || member(f17(intersection(converse(complement(u)),v),w),converse(u))* -> subset(intersection(converse(complement(u)),v),w). % 299.97/300.36 89155[0:Res:285.1,14370.1] || member(f23(intersection(converse(complement(u)),v),w),converse(u))* -> disjoint(intersection(converse(complement(u)),v),w). % 299.97/300.36 89177[16:Res:55073.2,14370.1] little_set(converse(complement(u))) || member(f26(converse(complement(u))),converse(u))* -> equal(converse(complement(u)),a). % 299.97/300.36 89189[0:Res:289.1,14370.1] || member(f23(u,intersection(converse(complement(v)),w)),converse(v))* -> disjoint(u,intersection(converse(complement(v)),w)). % 299.97/300.36 89191[0:Res:277.1,14370.1] || member(f23(intersection(u,converse(complement(v))),w),converse(v))* -> disjoint(intersection(u,converse(complement(v))),w). % 299.97/300.36 89194[0:Res:278.1,14370.1] || member(f17(intersection(u,converse(complement(v))),w),converse(v))* -> subset(intersection(u,converse(complement(v))),w). % 299.97/300.36 89201[0:Res:118.1,14370.1] || member(u,apply(converse(complement(v)),w)) member(f28(u,converse(complement(v)),w),converse(v))* -> . % 299.97/300.36 89212[16:Res:55151.1,14370.1] || member(second(f24(cross_product(u,converse(complement(v))))),converse(v))* -> equal(cross_product(u,converse(complement(v))),a). % 299.97/300.36 89216[16:Res:55061.3,14370.1] little_set(u) || subset(u,converse(complement(v)))* member(f26(u),converse(v)) -> equal(u,a). % 299.97/300.36 89226[0:Res:93.1,14370.1] || member(u,image(v,converse(complement(w)))) member(f22(u,v,converse(complement(w))),converse(w))* -> . % 299.97/300.36 89232[0:Res:281.1,14370.1] || member(f23(u,intersection(v,converse(complement(w)))),converse(w))* -> disjoint(u,intersection(v,converse(complement(w)))). % 299.97/300.36 89233[0:Res:965.2,14370.1] || member(u,domain_of(v)) subset(v,converse(complement(w))) member(f8(u,v),converse(w))* -> . % 299.97/300.36 89235[0:Res:964.2,14370.1] || member(u,sigma(v)) subset(v,converse(complement(w))) member(f16(u,v),converse(w))* -> . % 299.97/300.36 89237[0:Res:963.2,14370.1] || member(u,range_of(v)) subset(v,converse(complement(w))) member(f27(u,v),converse(w))* -> . % 299.97/300.36 89278[16:Res:55152.1,14370.1] || member(first(f24(cross_product(converse(complement(u)),v))),converse(u))* -> equal(cross_product(converse(complement(u)),v),a). % 299.97/300.36 89409[16:Res:57853.0,43745.1] || member(f24(complement(complement(flip_range_of(complement(flip_range_of(u)))))),u)* -> equal(complement(complement(flip_range_of(complement(flip_range_of(u))))),a). % 299.97/300.36 89410[16:Res:55149.1,43745.1] || member(f24(intersection(flip_range_of(complement(flip_range_of(u))),v)),u)* -> equal(intersection(flip_range_of(complement(flip_range_of(u))),v),a). % 299.97/300.36 89449[16:Res:55150.1,43745.1] || member(f24(intersection(u,flip_range_of(complement(flip_range_of(v))))),v)* -> equal(intersection(u,flip_range_of(complement(flip_range_of(v)))),a). % 299.97/300.36 89450[16:Res:55061.3,43745.1] little_set(u) || subset(u,flip_range_of(complement(flip_range_of(v))))* member(f26(u),v) -> equal(u,a). % 299.97/300.36 89467[0:Res:965.2,43745.1] || member(u,domain_of(v)) subset(v,flip_range_of(complement(flip_range_of(w))))* member(f8(u,v),w)* -> . % 299.97/300.36 89469[0:Res:964.2,43745.1] || member(u,sigma(v)) subset(v,flip_range_of(complement(flip_range_of(w))))* member(f16(u,v),w)* -> . % 299.97/300.36 89471[0:Res:963.2,43745.1] || member(u,range_of(v)) subset(v,flip_range_of(complement(flip_range_of(w))))* member(f27(u,v),w)* -> . % 299.97/300.36 89592[16:Res:1343.1,56180.0] || member(u,image(v,powerset(w)))* disjoint(w,universal_set) -> equal(f22(u,v,powerset(w)),a). % 299.97/300.36 89605[16:Res:1278.1,56180.0] || member(u,apply(powerset(v),w))* disjoint(v,universal_set) -> equal(f28(u,powerset(v),w),a). % 299.97/300.36 89815[0:Obv:89807.1] || equal(u,v) -> equal(f17(non_ordered_pair(w,u),singleton_set(v)),w)** subset(non_ordered_pair(w,u),singleton_set(v)). % 299.97/300.36 89816[0:Obv:89806.1] || equal(u,v) -> equal(f17(non_ordered_pair(u,w),singleton_set(v)),w)** subset(non_ordered_pair(u,w),singleton_set(v)). % 299.97/300.36 91776[16:Res:88690.1,4165.0] || equal(f1(u,powerset(v)),a) member(f1(u,powerset(v)),u)* -> equal(u,powerset(v)). % 299.97/300.36 92585[16:Res:57853.0,19261.0] || -> equal(complement(complement(sigma(intersection(u,v)))),a) member(f24(complement(complement(sigma(intersection(u,v))))),sigma(u))*. % 299.97/300.36 92586[16:Res:55149.1,19261.0] || -> equal(intersection(sigma(intersection(u,v)),w),a) member(f24(intersection(sigma(intersection(u,v)),w)),sigma(u))*. % 299.97/300.36 92625[16:Res:55150.1,19261.0] || -> equal(intersection(u,sigma(intersection(v,w))),a) member(f24(intersection(u,sigma(intersection(v,w)))),sigma(v))*. % 299.97/300.36 92626[16:Res:55061.3,19261.0] little_set(u) || subset(u,sigma(intersection(v,w)))* -> equal(u,a) member(f26(u),sigma(v)). % 299.97/300.36 92643[0:Res:965.2,19261.0] || member(u,domain_of(v)) subset(v,sigma(intersection(w,x)))* -> member(f8(u,v),sigma(w))*. % 299.97/300.36 92645[0:Res:964.2,19261.0] || member(u,sigma(v)) subset(v,sigma(intersection(w,x)))* -> member(f16(u,v),sigma(w))*. % 299.97/300.36 92647[0:Res:963.2,19261.0] || member(u,range_of(v)) subset(v,sigma(intersection(w,x)))* -> member(f27(u,v),sigma(w))*. % 299.97/300.36 92787[16:Res:57853.0,19263.0] || -> equal(complement(complement(sigma(intersection(u,v)))),a) member(f24(complement(complement(sigma(intersection(u,v))))),sigma(v))*. % 299.97/300.36 92788[16:Res:55149.1,19263.0] || -> equal(intersection(sigma(intersection(u,v)),w),a) member(f24(intersection(sigma(intersection(u,v)),w)),sigma(v))*. % 299.97/300.36 92827[16:Res:55150.1,19263.0] || -> equal(intersection(u,sigma(intersection(v,w))),a) member(f24(intersection(u,sigma(intersection(v,w)))),sigma(w))*. % 299.97/300.36 92828[16:Res:55061.3,19263.0] little_set(u) || subset(u,sigma(intersection(v,w)))* -> equal(u,a) member(f26(u),sigma(w)). % 299.97/300.36 92845[0:Res:965.2,19263.0] || member(u,domain_of(v)) subset(v,sigma(intersection(w,x)))* -> member(f8(u,v),sigma(x))*. % 299.97/300.36 92847[0:Res:964.2,19263.0] || member(u,sigma(v)) subset(v,sigma(intersection(w,x)))* -> member(f16(u,v),sigma(x))*. % 299.97/300.36 92849[0:Res:963.2,19263.0] || member(u,range_of(v)) subset(v,sigma(intersection(w,x)))* -> member(f27(u,v),sigma(x))*. % 299.97/300.36 94190[16:Res:57719.1,43745.1] || member(f24(restrict(flip_range_of(complement(flip_range_of(u))),v)),u)* -> equal(restrict(flip_range_of(complement(flip_range_of(u))),v),a). % 299.97/300.36 94195[16:Res:57719.1,4238.0] || equal(u,f24(restrict(compose(v,w),x)))* -> equal(restrict(compose(v,w),x),a) ordered_pair_predicate(u)*. % 299.97/300.36 94221[16:Res:57719.1,19263.0] || -> equal(restrict(sigma(intersection(u,v)),w),a) member(f24(restrict(sigma(intersection(u,v)),w)),sigma(v))*. % 299.97/300.36 94222[16:Res:57719.1,19261.0] || -> equal(restrict(sigma(intersection(u,v)),w),a) member(f24(restrict(sigma(intersection(u,v)),w)),sigma(u))*. % 299.97/300.36 94465[0:Res:1343.1,14041.0] || member(u,image(v,powerset(w))) disjoint(w,x) -> disjoint(f22(u,v,powerset(w)),x)*. % 299.97/300.36 94478[0:Res:1278.1,14041.0] || member(u,apply(powerset(v),w)) disjoint(v,x) -> disjoint(f28(u,powerset(v),w),x)*. % 299.97/300.36 94795[0:Res:1343.1,14151.0] || member(u,image(v,powerset(w))) disjoint(w,x) -> disjoint(x,f22(u,v,powerset(w)))*. % 299.97/300.36 94808[0:Res:1278.1,14151.0] || member(u,apply(powerset(v),w)) disjoint(v,x) -> disjoint(x,f28(u,powerset(v),w))*. % 299.97/300.36 94847[16:Res:91681.1,1163.0] || equal(complement(converse(u)),a)** member(u,v)* -> member(ordered_pair(second(infinity),first(infinity)),sigma(v))*. % 299.97/300.36 95375[16:Res:92031.1,1163.0] || equal(complement(converse(u)),a)** member(u,v)* -> member(ordered_pair(second(a),first(a)),sigma(v))*. % 299.97/300.36 95481[16:SpR:92193.1,310.0] || equal(a,u) -> equal(complement(intersection(union(u,v),complement(w))),union(intersection(universal_set,complement(v)),w))**. % 299.97/300.36 95547[16:SpR:92193.1,310.0] || equal(a,u) -> equal(complement(intersection(union(v,u),complement(w))),union(intersection(complement(v),universal_set),w))**. % 299.97/300.36 95552[16:SpR:92193.1,384.1] little_set(u) || equal(a,v) -> member(u,intersection(universal_set,complement(w)))* member(u,union(v,w))*. % 299.97/300.36 95553[16:SpR:92193.1,309.0] || equal(a,u) -> equal(complement(intersection(complement(v),union(u,w))),union(v,intersection(universal_set,complement(w))))**. % 299.97/300.36 95581[16:SpR:92193.1,384.1] little_set(u) || equal(a,v) -> member(u,intersection(complement(w),universal_set))* member(u,union(w,v))*. % 299.97/300.36 95582[16:SpR:92193.1,309.0] || equal(a,u) -> equal(complement(intersection(complement(v),union(w,u))),union(v,intersection(complement(w),universal_set)))**. % 299.97/300.36 97076[16:MRR:96982.0,55068.2] little_set(u) || disjoint(converse(powerset(ordered_pair(second(f26(u)),first(f26(u))))),u)* -> equal(u,a). % 299.97/300.36 97095[0:MRR:97094.0,117.1] || member(u,apply(v,w)) disjoint(converse(powerset(ordered_pair(second(f28(u,v,w)),w))),v)* -> . % 299.97/300.36 97097[0:MRR:97096.0,92.1] || member(u,image(v,w)) disjoint(converse(powerset(ordered_pair(u,first(f22(u,v,w))))),w)* -> . % 299.97/300.36 97400[16:SoR:10938.0,58002.2] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),f24(flip_range_of(v)))* -> equal(flip_range_of(v),a). % 299.97/300.36 97450[16:SoR:10938.0,58005.2] || member(universal_set,range_of(u)) equal(first(f27(universal_set,u)),f24(rotate_right(v)))* -> equal(rotate_right(v),a). % 299.97/300.36 97617[0:Res:87.1,2899.0] || -> single_valued_set(domain_of(singleton_set(u))) equal(f8(ordered_pair(f19(domain_of(singleton_set(u))),f21(domain_of(singleton_set(u)))),singleton_set(u)),u)**. % 299.97/300.36 97618[0:Res:86.1,2899.0] || -> single_valued_set(domain_of(singleton_set(u))) equal(f8(ordered_pair(f19(domain_of(singleton_set(u))),f20(domain_of(singleton_set(u)))),singleton_set(u)),u)**. % 299.97/300.36 97636[16:Res:57853.0,2899.0] || -> equal(complement(complement(domain_of(singleton_set(u)))),a) equal(f8(f24(complement(complement(domain_of(singleton_set(u))))),singleton_set(u)),u)**. % 299.97/300.36 97637[16:Res:55149.1,2899.0] || -> equal(intersection(domain_of(singleton_set(u)),v),a) equal(f8(f24(intersection(domain_of(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 97638[16:Res:57719.1,2899.0] || -> equal(restrict(domain_of(singleton_set(u)),v),a) equal(f8(f24(restrict(domain_of(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 97677[16:Res:55150.1,2899.0] || -> equal(intersection(u,domain_of(singleton_set(v))),a) equal(f8(f24(intersection(u,domain_of(singleton_set(v)))),singleton_set(v)),v)**. % 299.97/300.36 97716[0:Res:956.2,2899.0] || subset(u,domain_of(singleton_set(v))) -> single_valued_set(u) equal(f8(ordered_pair(f19(u),f21(u)),singleton_set(v)),v)**. % 299.97/300.36 97717[0:Res:957.2,2899.0] || subset(u,domain_of(singleton_set(v))) -> single_valued_set(u) equal(f8(ordered_pair(f19(u),f20(u)),singleton_set(v)),v)**. % 299.97/300.36 97830[0:Res:87.1,2938.0] || -> single_valued_set(sigma(singleton_set(u))) equal(f16(ordered_pair(f19(sigma(singleton_set(u))),f21(sigma(singleton_set(u)))),singleton_set(u)),u)**. % 299.97/300.36 97831[0:Res:86.1,2938.0] || -> single_valued_set(sigma(singleton_set(u))) equal(f16(ordered_pair(f19(sigma(singleton_set(u))),f20(sigma(singleton_set(u)))),singleton_set(u)),u)**. % 299.97/300.36 97849[16:Res:57853.0,2938.0] || -> equal(complement(complement(sigma(singleton_set(u)))),a) equal(f16(f24(complement(complement(sigma(singleton_set(u))))),singleton_set(u)),u)**. % 299.97/300.36 97850[16:Res:55149.1,2938.0] || -> equal(intersection(sigma(singleton_set(u)),v),a) equal(f16(f24(intersection(sigma(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 97851[16:Res:57719.1,2938.0] || -> equal(restrict(sigma(singleton_set(u)),v),a) equal(f16(f24(restrict(sigma(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 97890[16:Res:55150.1,2938.0] || -> equal(intersection(u,sigma(singleton_set(v))),a) equal(f16(f24(intersection(u,sigma(singleton_set(v)))),singleton_set(v)),v)**. % 299.97/300.36 97929[0:Res:956.2,2938.0] || subset(u,sigma(singleton_set(v))) -> single_valued_set(u) equal(f16(ordered_pair(f19(u),f21(u)),singleton_set(v)),v)**. % 299.97/300.36 97930[0:Res:957.2,2938.0] || subset(u,sigma(singleton_set(v))) -> single_valued_set(u) equal(f16(ordered_pair(f19(u),f20(u)),singleton_set(v)),v)**. % 299.97/300.36 97977[0:Res:1161.2,2938.0] || member(u,domain_of(v)) member(v,singleton_set(w)) -> equal(f16(f8(u,v),singleton_set(w)),w)**. % 299.97/300.36 97978[0:Res:1160.2,2938.0] || member(u,sigma(v)) member(v,singleton_set(w)) -> equal(f16(f16(u,v),singleton_set(w)),w)**. % 299.97/300.36 97979[0:Res:1159.2,2938.0] || member(u,range_of(v)) member(v,singleton_set(w)) -> equal(f16(f27(u,v),singleton_set(w)),w)**. % 299.97/300.36 98073[0:Res:87.1,2959.0] || -> single_valued_set(range_of(singleton_set(u))) equal(f27(ordered_pair(f19(range_of(singleton_set(u))),f21(range_of(singleton_set(u)))),singleton_set(u)),u)**. % 299.97/300.36 98074[0:Res:86.1,2959.0] || -> single_valued_set(range_of(singleton_set(u))) equal(f27(ordered_pair(f19(range_of(singleton_set(u))),f20(range_of(singleton_set(u)))),singleton_set(u)),u)**. % 299.97/300.36 98092[16:Res:57853.0,2959.0] || -> equal(complement(complement(range_of(singleton_set(u)))),a) equal(f27(f24(complement(complement(range_of(singleton_set(u))))),singleton_set(u)),u)**. % 299.97/300.36 98093[16:Res:55149.1,2959.0] || -> equal(intersection(range_of(singleton_set(u)),v),a) equal(f27(f24(intersection(range_of(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 98094[16:Res:57719.1,2959.0] || -> equal(restrict(range_of(singleton_set(u)),v),a) equal(f27(f24(restrict(range_of(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 98133[16:Res:55150.1,2959.0] || -> equal(intersection(u,range_of(singleton_set(v))),a) equal(f27(f24(intersection(u,range_of(singleton_set(v)))),singleton_set(v)),v)**. % 299.97/300.36 98172[0:Res:956.2,2959.0] || subset(u,range_of(singleton_set(v))) -> single_valued_set(u) equal(f27(ordered_pair(f19(u),f21(u)),singleton_set(v)),v)**. % 299.97/300.36 98173[0:Res:957.2,2959.0] || subset(u,range_of(singleton_set(v))) -> single_valued_set(u) equal(f27(ordered_pair(f19(u),f20(u)),singleton_set(v)),v)**. % 299.97/300.36 98394[0:Res:8090.0,14370.1] || member(f17(complement(complement(converse(complement(u)))),v),converse(u))* -> subset(complement(complement(converse(complement(u)))),v). % 299.97/300.36 98405[0:Res:8090.0,560.0] || -> subset(complement(complement(domain_of(cross_product(u,v)))),w) member(f17(complement(complement(domain_of(cross_product(u,v)))),w),u)*. % 299.97/300.36 98408[0:Res:8090.0,547.0] || -> subset(complement(complement(range_of(cross_product(u,v)))),w) member(f17(complement(complement(range_of(cross_product(u,v)))),w),v)*. % 299.97/300.36 98417[0:Res:8090.0,274.0] || -> subset(complement(complement(restrict(u,v))),w) member(f17(complement(complement(restrict(u,v))),w),cross_product(v,universal_set))*. % 299.97/300.36 98460[0:Rew:36.0,98360.1] || -> member(f17(complement(union(u,v)),w),intersection(complement(u),complement(v)))* subset(complement(union(u,v)),w). % 299.97/300.36 98510[0:Res:9082.0,14370.1] || member(f23(u,complement(complement(converse(complement(v))))),converse(v))* -> disjoint(u,complement(complement(converse(complement(v))))). % 299.97/300.36 98521[0:Res:9082.0,560.0] || -> disjoint(u,complement(complement(domain_of(cross_product(v,w))))) member(f23(u,complement(complement(domain_of(cross_product(v,w))))),v)*. % 299.97/300.36 98524[0:Res:9082.0,547.0] || -> disjoint(u,complement(complement(range_of(cross_product(v,w))))) member(f23(u,complement(complement(range_of(cross_product(v,w))))),w)*. % 299.97/300.36 98533[0:Res:9082.0,274.0] || -> disjoint(u,complement(complement(restrict(v,w)))) member(f23(u,complement(complement(restrict(v,w)))),cross_product(w,universal_set))*. % 299.97/300.36 98578[0:Rew:36.0,98473.1] || -> member(f23(u,complement(union(v,w))),intersection(complement(v),complement(w)))* disjoint(u,complement(union(v,w))). % 299.97/300.36 98700[0:Res:9151.0,14370.1] || member(f23(complement(complement(converse(complement(u)))),v),converse(u))* -> disjoint(complement(complement(converse(complement(u)))),v). % 299.97/300.36 98711[0:Res:9151.0,560.0] || -> disjoint(complement(complement(domain_of(cross_product(u,v)))),w) member(f23(complement(complement(domain_of(cross_product(u,v)))),w),u)*. % 299.97/300.36 98714[0:Res:9151.0,547.0] || -> disjoint(complement(complement(range_of(cross_product(u,v)))),w) member(f23(complement(complement(range_of(cross_product(u,v)))),w),v)*. % 299.97/300.36 98723[0:Res:9151.0,274.0] || -> disjoint(complement(complement(restrict(u,v))),w) member(f23(complement(complement(restrict(u,v))),w),cross_product(v,universal_set))*. % 299.97/300.36 98768[0:Rew:36.0,98663.1] || -> member(f23(complement(union(u,v)),w),intersection(complement(u),complement(v)))* disjoint(complement(union(u,v)),w). % 299.97/300.36 99475[3:MRR:99378.0,6177.1] || member(converse(complement(u)),image(v,w)) -> member(first(f22(converse(complement(u)),v,w)),converse(u))*. % 299.97/300.36 99637[0:Res:22366.2,1219.1] ordered_pair_predicate(u) || member(successor(v),f2(u))* member(v,infinity) disjoint(first(u),infinity) -> . % 299.97/300.36 99646[0:Res:22366.2,1213.0] ordered_pair_predicate(u) || member(f23(v,w),f2(u))* disjoint(first(u),v) -> disjoint(v,w). % 299.97/300.36 99647[0:Res:22366.2,1221.0] ordered_pair_predicate(u) || member(f23(v,w),f2(u))* disjoint(first(u),w) -> disjoint(v,w). % 299.97/300.36 99648[0:Res:22366.2,1214.0] ordered_pair_predicate(u) || member(f17(v,w),f2(u))* disjoint(first(u),v) -> subset(v,w). % 299.97/300.36 99689[2:Res:22366.2,616.1] ordered_pair_predicate(u) || member(first(f27(first(u),v)),f2(u))* member(first(u),range_of(v)) -> . % 299.97/300.36 99831[0:Res:22612.2,1219.1] ordered_pair_predicate(u) || member(successor(v),f3(u))* member(v,infinity) disjoint(second(u),infinity) -> . % 299.97/300.36 99840[0:Res:22612.2,1213.0] ordered_pair_predicate(u) || member(f23(v,w),f3(u))* disjoint(second(u),v) -> disjoint(v,w). % 299.97/300.36 99841[0:Res:22612.2,1221.0] ordered_pair_predicate(u) || member(f23(v,w),f3(u))* disjoint(second(u),w) -> disjoint(v,w). % 299.97/300.36 99842[0:Res:22612.2,1214.0] ordered_pair_predicate(u) || member(f17(v,w),f3(u))* disjoint(second(u),v) -> subset(v,w). % 299.97/300.36 99884[2:Res:22612.2,616.1] ordered_pair_predicate(u) || member(first(f27(second(u),v)),f3(u))* member(second(u),range_of(v)) -> . % 299.97/300.36 99999[16:Res:59019.2,6176.0] || subset(u,converse(v))* -> equal(u,a) ordered_pair_predicate(ordered_pair(second(f1(u,a)),first(f1(u,a))))*. % 299.97/300.36 100104[0:Res:98305.0,3830.0] || -> member(u,v) equal(v,w) member(f1(v,w),w)* member(f1(v,w),complement(singleton_set(u)))*. % 299.97/300.36 100105[0:Res:98305.0,3812.0] || -> member(u,v) equal(w,v) member(f1(w,v),w)* member(f1(w,v),complement(singleton_set(u)))*. % 299.97/300.36 100189[0:Res:98305.0,1563.1] || member(u,apply(v,w)) -> member(x,second(f28(u,v,w)))* member(u,complement(singleton_set(x))). % 299.97/300.36 100190[0:Res:98305.0,3654.2] || member(u,v)* member(u,w)* -> member(x,intersection(w,v))* member(u,complement(singleton_set(x)))*. % 299.97/300.36 100439[16:Res:56165.2,56166.0] || subset(u,powerset(singleton_set(v)))* -> equal(u,a) equal(f24(u),a) equal(f24(f24(u)),v). % 299.97/300.36 100612[16:Res:59021.2,6176.0] || subset(u,converse(v))* -> equal(a,u) ordered_pair_predicate(ordered_pair(second(f1(a,u)),first(f1(a,u))))*. % 299.97/300.36 100773[16:Res:59048.1,14370.1] || member(f1(intersection(converse(complement(u)),v),a),converse(u))* -> equal(intersection(converse(complement(u)),v),a). % 299.97/300.36 100784[16:Res:59048.1,560.0] || -> equal(intersection(domain_of(cross_product(u,v)),w),a) member(f1(intersection(domain_of(cross_product(u,v)),w),a),u)*. % 299.97/300.36 100787[16:Res:59048.1,547.0] || -> equal(intersection(range_of(cross_product(u,v)),w),a) member(f1(intersection(range_of(cross_product(u,v)),w),a),v)*. % 299.97/300.36 100796[16:Res:59048.1,274.0] || -> equal(intersection(restrict(u,v),w),a) member(f1(intersection(restrict(u,v),w),a),cross_product(v,universal_set))*. % 299.97/300.36 100890[16:Res:59049.1,14370.1] || member(f1(intersection(u,converse(complement(v))),a),converse(v))* -> equal(intersection(u,converse(complement(v))),a). % 299.97/300.36 100901[16:Res:59049.1,560.0] || -> equal(intersection(u,domain_of(cross_product(v,w))),a) member(f1(intersection(u,domain_of(cross_product(v,w))),a),v)*. % 299.97/300.36 100904[16:Res:59049.1,547.0] || -> equal(intersection(u,range_of(cross_product(v,w))),a) member(f1(intersection(u,range_of(cross_product(v,w))),a),w)*. % 299.97/300.36 100913[16:Res:59049.1,274.0] || -> equal(intersection(u,restrict(v,w)),a) member(f1(intersection(u,restrict(v,w)),a),cross_product(w,universal_set))*. % 299.97/300.36 100991[16:Res:59050.1,14370.1] || member(f1(a,intersection(converse(complement(u)),v)),converse(u))* -> equal(intersection(converse(complement(u)),v),a). % 299.97/300.36 101002[16:Res:59050.1,560.0] || -> equal(intersection(domain_of(cross_product(u,v)),w),a) member(f1(a,intersection(domain_of(cross_product(u,v)),w)),u)*. % 299.97/300.36 101005[16:Res:59050.1,547.0] || -> equal(intersection(range_of(cross_product(u,v)),w),a) member(f1(a,intersection(range_of(cross_product(u,v)),w)),v)*. % 299.97/300.36 101014[16:Res:59050.1,274.0] || -> equal(intersection(restrict(u,v),w),a) member(f1(a,intersection(restrict(u,v),w)),cross_product(v,universal_set))*. % 299.97/300.36 101130[16:Res:59051.1,14370.1] || member(f1(a,intersection(u,converse(complement(v)))),converse(v))* -> equal(intersection(u,converse(complement(v))),a). % 299.97/300.36 101141[16:Res:59051.1,560.0] || -> equal(intersection(u,domain_of(cross_product(v,w))),a) member(f1(a,intersection(u,domain_of(cross_product(v,w)))),v)*. % 299.97/300.36 101144[16:Res:59051.1,547.0] || -> equal(intersection(u,range_of(cross_product(v,w))),a) member(f1(a,intersection(u,range_of(cross_product(v,w)))),w)*. % 299.97/300.36 101153[16:Res:59051.1,274.0] || -> equal(intersection(u,restrict(v,w)),a) member(f1(a,intersection(u,restrict(v,w))),cross_product(w,universal_set))*. % 299.97/300.36 101324[16:Res:59052.1,14370.1] || member(f1(restrict(converse(complement(u)),v),a),converse(u))* -> equal(restrict(converse(complement(u)),v),a). % 299.97/300.36 101335[16:Res:59052.1,560.0] || -> equal(restrict(domain_of(cross_product(u,v)),w),a) member(f1(restrict(domain_of(cross_product(u,v)),w),a),u)*. % 299.97/300.36 101338[16:Res:59052.1,547.0] || -> equal(restrict(range_of(cross_product(u,v)),w),a) member(f1(restrict(range_of(cross_product(u,v)),w),a),v)*. % 299.97/300.36 101347[16:Res:59052.1,274.0] || -> equal(restrict(restrict(u,v),w),a) member(f1(restrict(restrict(u,v),w),a),cross_product(v,universal_set))*. % 299.97/300.36 101584[16:Res:59053.1,14370.1] || member(f1(a,restrict(converse(complement(u)),v)),converse(u))* -> equal(restrict(converse(complement(u)),v),a). % 299.97/300.36 101595[16:Res:59053.1,560.0] || -> equal(restrict(domain_of(cross_product(u,v)),w),a) member(f1(a,restrict(domain_of(cross_product(u,v)),w)),u)*. % 299.97/300.36 101598[16:Res:59053.1,547.0] || -> equal(restrict(range_of(cross_product(u,v)),w),a) member(f1(a,restrict(range_of(cross_product(u,v)),w)),v)*. % 299.97/300.36 101607[16:Res:59053.1,274.0] || -> equal(restrict(restrict(u,v),w),a) member(f1(a,restrict(restrict(u,v),w)),cross_product(v,universal_set))*. % 299.97/300.36 101709[16:Res:57867.1,8.0] || disjoint(complement(non_ordered_pair(u,v)),w)* -> equal(w,a) equal(f24(w),v) equal(f24(w),u). % 299.97/300.36 101731[16:Res:57867.1,644.1] || disjoint(complement(second(f8(f24(u),v))),u)* member(f24(u),domain_of(v)) -> equal(u,a). % 299.97/300.36 101854[0:Res:3813.2,14370.1] || disjoint(u,universal_set) member(f1(converse(complement(v)),u),converse(v))* -> equal(converse(complement(v)),u). % 299.97/300.36 101865[0:Res:3813.2,560.0] || disjoint(u,universal_set) -> equal(domain_of(cross_product(v,w)),u) member(f1(domain_of(cross_product(v,w)),u),v)*. % 299.97/300.36 101868[0:Res:3813.2,547.0] || disjoint(u,universal_set) -> equal(range_of(cross_product(v,w)),u) member(f1(range_of(cross_product(v,w)),u),w)*. % 299.97/300.36 101877[0:Res:3813.2,274.0] || disjoint(u,universal_set) -> equal(restrict(v,w),u) member(f1(restrict(v,w),u),cross_product(w,universal_set))*. % 299.97/300.36 101988[0:Res:3831.2,14370.1] || disjoint(u,universal_set) member(f1(u,converse(complement(v))),converse(v))* -> equal(u,converse(complement(v))). % 299.97/300.36 101999[0:Res:3831.2,560.0] || disjoint(u,universal_set) -> equal(u,domain_of(cross_product(v,w))) member(f1(u,domain_of(cross_product(v,w))),v)*. % 299.97/300.36 102002[0:Res:3831.2,547.0] || disjoint(u,universal_set) -> equal(u,range_of(cross_product(v,w))) member(f1(u,range_of(cross_product(v,w))),w)*. % 299.97/300.36 102011[0:Res:3831.2,274.0] || disjoint(u,universal_set) -> equal(u,restrict(v,w)) member(f1(u,restrict(v,w)),cross_product(w,universal_set))*. % 299.97/300.36 103212[3:Res:3651.2,88258.0] || member(singleton_set(infinity),cross_product(u,universal_set))* member(singleton_set(infinity),v) -> member(infinity,sigma(restrict(v,u)))*. % 299.97/300.36 103222[3:Res:5009.3,88258.0] little_set(u) little_set(v) || member(singleton_set(infinity),v) -> member(infinity,sigma(first(ordered_pair(v,u))))*. % 299.97/300.36 103223[3:Res:5054.3,88258.0] little_set(u) little_set(v) || member(singleton_set(infinity),u) -> member(infinity,sigma(second(ordered_pair(v,u))))*. % 299.97/300.36 103246[3:SSi:103187.0,5742.0,150.0,63.0,15957.1] || member(second(singleton_set(infinity)),u) member(first(singleton_set(infinity)),v) -> member(infinity,sigma(cross_product(v,u)))*. % 299.97/300.36 103524[0:Res:71.1,16184.0] || -> subset(domain_of(intersection(cross_product(u,v),w)),x) member(f17(domain_of(intersection(cross_product(u,v),w)),x),u)*. % 299.97/300.36 103527[0:Res:99.1,16184.0] || -> disjoint(domain_of(intersection(cross_product(u,v),w)),x) member(f23(domain_of(intersection(cross_product(u,v),w)),x),u)*. % 299.97/300.36 103539[16:Res:58828.1,16184.0] || -> equal(domain_of(intersection(cross_product(u,v),w)),a) member(f1(domain_of(intersection(cross_product(u,v),w)),a),u)*. % 299.97/300.36 103544[16:Res:58827.1,16184.0] || -> equal(domain_of(intersection(cross_product(u,v),w)),a) member(f1(a,domain_of(intersection(cross_product(u,v),w))),u)*. % 299.97/300.36 103567[0:Res:100.1,16184.0] || -> disjoint(u,domain_of(intersection(cross_product(v,w),x))) member(f23(u,domain_of(intersection(cross_product(v,w),x))),v)*. % 299.97/300.36 103641[0:Res:956.2,16184.0] || subset(u,domain_of(intersection(cross_product(v,w),x)))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.36 103642[0:Res:957.2,16184.0] || subset(u,domain_of(intersection(cross_product(v,w),x)))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.36 103766[0:Res:71.1,16416.0] || -> subset(domain_of(intersection(u,cross_product(v,w))),x) member(f17(domain_of(intersection(u,cross_product(v,w))),x),v)*. % 299.97/300.36 103769[0:Res:99.1,16416.0] || -> disjoint(domain_of(intersection(u,cross_product(v,w))),x) member(f23(domain_of(intersection(u,cross_product(v,w))),x),v)*. % 299.97/300.36 103781[16:Res:58828.1,16416.0] || -> equal(domain_of(intersection(u,cross_product(v,w))),a) member(f1(domain_of(intersection(u,cross_product(v,w))),a),v)*. % 299.97/300.36 103786[16:Res:58827.1,16416.0] || -> equal(domain_of(intersection(u,cross_product(v,w))),a) member(f1(a,domain_of(intersection(u,cross_product(v,w)))),v)*. % 299.97/300.36 103809[0:Res:100.1,16416.0] || -> disjoint(u,domain_of(intersection(v,cross_product(w,x)))) member(f23(u,domain_of(intersection(v,cross_product(w,x)))),w)*. % 299.97/300.36 103883[0:Res:956.2,16416.0] || subset(u,domain_of(intersection(v,cross_product(w,x))))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),w)*. % 299.97/300.36 103884[0:Res:957.2,16416.0] || subset(u,domain_of(intersection(v,cross_product(w,x))))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),w)*. % 299.97/300.36 104011[0:Res:71.1,17439.0] || -> subset(range_of(intersection(cross_product(u,v),w)),x) member(f17(range_of(intersection(cross_product(u,v),w)),x),v)*. % 299.97/300.36 104014[0:Res:99.1,17439.0] || -> disjoint(range_of(intersection(cross_product(u,v),w)),x) member(f23(range_of(intersection(cross_product(u,v),w)),x),v)*. % 299.97/300.36 104026[16:Res:58828.1,17439.0] || -> equal(range_of(intersection(cross_product(u,v),w)),a) member(f1(range_of(intersection(cross_product(u,v),w)),a),v)*. % 299.97/300.36 104031[16:Res:58827.1,17439.0] || -> equal(range_of(intersection(cross_product(u,v),w)),a) member(f1(a,range_of(intersection(cross_product(u,v),w))),v)*. % 299.97/300.36 104054[0:Res:100.1,17439.0] || -> disjoint(u,range_of(intersection(cross_product(v,w),x))) member(f23(u,range_of(intersection(cross_product(v,w),x))),w)*. % 299.97/300.36 104128[0:Res:956.2,17439.0] || subset(u,range_of(intersection(cross_product(v,w),x)))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),w)*. % 299.97/300.36 104129[0:Res:957.2,17439.0] || subset(u,range_of(intersection(cross_product(v,w),x)))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),w)*. % 299.97/300.36 104288[0:Res:71.1,17546.0] || -> subset(range_of(intersection(u,cross_product(v,w))),x) member(f17(range_of(intersection(u,cross_product(v,w))),x),w)*. % 299.97/300.36 104291[0:Res:99.1,17546.0] || -> disjoint(range_of(intersection(u,cross_product(v,w))),x) member(f23(range_of(intersection(u,cross_product(v,w))),x),w)*. % 299.97/300.36 104303[16:Res:58828.1,17546.0] || -> equal(range_of(intersection(u,cross_product(v,w))),a) member(f1(range_of(intersection(u,cross_product(v,w))),a),w)*. % 299.97/300.36 104308[16:Res:58827.1,17546.0] || -> equal(range_of(intersection(u,cross_product(v,w))),a) member(f1(a,range_of(intersection(u,cross_product(v,w)))),w)*. % 299.97/300.36 104331[0:Res:100.1,17546.0] || -> disjoint(u,range_of(intersection(v,cross_product(w,x)))) member(f23(u,range_of(intersection(v,cross_product(w,x)))),x)*. % 299.97/300.36 104405[0:Res:956.2,17546.0] || subset(u,range_of(intersection(v,cross_product(w,x))))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),x)*. % 299.97/300.36 104406[0:Res:957.2,17546.0] || subset(u,range_of(intersection(v,cross_product(w,x))))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),x)*. % 299.97/300.36 104743[2:MRR:104651.0,1545.1] || member(union(u,v),image(w,x)) -> member(first(f22(union(u,v),w,x)),complement(u))*. % 299.97/300.36 105089[2:MRR:104995.0,1545.1] || member(union(u,v),image(w,x)) -> member(first(f22(union(u,v),w,x)),complement(v))*. % 299.97/300.36 105358[0:Res:956.2,26698.0] || subset(u,apply(cross_product(v,w),x))* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),sigma(w))*. % 299.97/300.36 105359[0:Res:957.2,26698.0] || subset(u,apply(cross_product(v,w),x))* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),sigma(w))*. % 299.97/300.36 1552[0:Res:94.1,547.0] || member(u,image(range_of(cross_product(v,w)),x)) -> member(first(f22(u,range_of(cross_product(v,w)),x)),w)*. % 299.97/300.36 1553[0:Res:94.1,560.0] || member(u,image(domain_of(cross_product(v,w)),x)) -> member(first(f22(u,domain_of(cross_product(v,w)),x)),v)*. % 299.97/300.36 3826[0:Res:6.1,282.0] || -> equal(u,restrict(v,w)) member(f1(u,restrict(v,w)),u)* member(f1(u,restrict(v,w)),v)*. % 299.97/300.36 3844[0:Res:6.2,282.0] || -> equal(restrict(u,v),w) member(f1(restrict(u,v),w),w)* member(f1(restrict(u,v),w),u)*. % 299.97/300.36 4459[0:Res:378.3,1238.0] ordered_pair_predicate(u) || member(second(u),v)* member(first(u),w)* disjoint(cross_product(w,v),universal_set)* -> . % 299.97/300.36 7884[3:Res:4258.0,6176.0] || -> equal(complement(converse(u)),universal_set) ordered_pair_predicate(ordered_pair(second(f1(complement(converse(u)),universal_set)),first(f1(complement(converse(u)),universal_set))))*. % 299.97/300.36 7887[3:Res:395.0,6176.0] || -> subset(u,complement(converse(v))) ordered_pair_predicate(ordered_pair(second(f17(u,complement(converse(v)))),first(f17(u,complement(converse(v))))))*. % 299.97/300.36 7949[0:Res:94.1,274.0] || member(u,image(restrict(v,w),x)) -> member(first(f22(u,restrict(v,w),x)),cross_product(w,universal_set))*. % 299.97/300.36 9210[0:SpL:95.1,3940.0] || member(u,image(v,w))* member(x,u)* equal(y,f22(u,v,w))* -> ordered_pair_predicate(y)*. % 299.97/300.36 9412[0:Res:6.2,4549.0] || equal(u,f1(flip_range_of(v),w))* -> equal(flip_range_of(v),w) member(f1(flip_range_of(v),w),w)* ordered_pair_predicate(u)*. % 299.97/300.36 9423[0:Res:6.1,4549.0] || equal(u,f1(v,flip_range_of(w)))* -> equal(v,flip_range_of(w)) member(f1(v,flip_range_of(w)),v)* ordered_pair_predicate(u)*. % 299.97/300.36 9693[0:Res:6.2,4578.0] || equal(u,f1(rotate_right(v),w))* -> equal(rotate_right(v),w) member(f1(rotate_right(v),w),w)* ordered_pair_predicate(u)*. % 299.97/300.36 9704[0:Res:6.1,4578.0] || equal(u,f1(v,rotate_right(w)))* -> equal(v,rotate_right(w)) member(f1(v,rotate_right(w)),v)* ordered_pair_predicate(u)*. % 299.97/300.36 11121[0:Res:93.1,4238.0] || member(u,image(v,compose(w,x)))* equal(y,f22(u,v,compose(w,x)))* -> ordered_pair_predicate(y)*. % 299.97/300.36 11230[0:Res:278.1,4238.0] || equal(u,f17(intersection(v,compose(w,x)),y))* -> subset(intersection(v,compose(w,x)),y) ordered_pair_predicate(u)*. % 299.97/300.36 11288[0:Res:286.1,4238.0] || equal(u,f17(intersection(compose(v,w),x),y))* -> subset(intersection(compose(v,w),x),y) ordered_pair_predicate(u)*. % 299.97/300.36 11339[0:Res:955.2,8.0] || subset(u,non_ordered_pair(v,w))* -> subset(u,x) equal(f17(u,x),w)* equal(f17(u,x),v)*. % 299.97/300.36 11346[2:Res:955.2,644.1] || subset(u,second(f8(f17(u,v),w)))* member(f17(u,v),domain_of(w)) -> subset(u,v). % 299.97/300.36 11421[0:Res:961.2,8.0] || subset(u,non_ordered_pair(v,w))* -> disjoint(x,u) equal(f23(x,u),w)* equal(f23(x,u),v)*. % 299.97/300.36 11428[2:Res:961.2,644.1] || subset(u,second(f8(f23(v,u),w)))* member(f23(v,u),domain_of(w)) -> disjoint(v,u). % 299.97/300.36 11534[0:Res:954.2,8.0] || subset(u,non_ordered_pair(v,w))* -> disjoint(u,x) equal(f23(u,x),w)* equal(f23(u,x),v)*. % 299.97/300.36 11541[2:Res:954.2,644.1] || subset(u,second(f8(f23(u,v),w)))* member(f23(u,v),domain_of(w)) -> disjoint(u,v). % 299.97/300.36 11620[0:Res:285.1,4238.0] || equal(u,f23(intersection(compose(v,w),x),y))* -> disjoint(intersection(compose(v,w),x),y) ordered_pair_predicate(u)*. % 299.97/300.36 11714[0:Res:289.1,4238.0] || equal(u,f23(v,intersection(compose(w,x),y)))* -> disjoint(v,intersection(compose(w,x),y)) ordered_pair_predicate(u)*. % 299.97/300.36 11812[0:Res:277.1,4238.0] || equal(u,f23(intersection(v,compose(w,x)),y))* -> disjoint(intersection(v,compose(w,x)),y) ordered_pair_predicate(u)*. % 299.97/300.36 11973[0:Res:281.1,4238.0] || equal(u,f23(v,intersection(w,compose(x,y))))* -> disjoint(v,intersection(w,compose(x,y))) ordered_pair_predicate(u)*. % 299.97/300.36 12066[0:SSi:12042.0,371.0] || equal(ordered_pair(f19(complement(non_ordered_pair(u,v))),f21(complement(non_ordered_pair(u,v)))),v)** -> single_valued_set(complement(non_ordered_pair(u,v))). % 299.97/300.36 12067[0:SSi:12041.0,371.0] || equal(ordered_pair(f19(complement(non_ordered_pair(u,v))),f21(complement(non_ordered_pair(u,v)))),u)** -> single_valued_set(complement(non_ordered_pair(u,v))). % 299.97/300.36 12136[0:SSi:12112.0,371.0] || equal(ordered_pair(f19(complement(non_ordered_pair(u,v))),f20(complement(non_ordered_pair(u,v)))),v)** -> single_valued_set(complement(non_ordered_pair(u,v))). % 299.97/300.36 12137[0:SSi:12111.0,371.0] || equal(ordered_pair(f19(complement(non_ordered_pair(u,v))),f20(complement(non_ordered_pair(u,v)))),u)** -> single_valued_set(complement(non_ordered_pair(u,v))). % 299.97/300.36 12218[6:Res:135.1,10857.1] || member(u,compose(infinity,v)) equal(successor(ordered_pair(f29(u,infinity,v),f31(u,infinity,v))),universal_set)** -> . % 299.97/300.36 12221[6:Res:136.1,10857.1] || member(u,compose(v,infinity)) equal(successor(ordered_pair(f31(u,v,infinity),f30(u,v,infinity))),universal_set)** -> . % 299.97/300.36 12370[0:Rew:36.0,12345.0] || member(u,domain_of(union(v,w))) member(f8(u,union(v,w)),intersection(complement(v),complement(w)))* -> . % 299.97/300.36 12422[0:Rew:36.0,12397.0] || member(u,sigma(union(v,w))) member(f16(u,union(v,w)),intersection(complement(v),complement(w)))* -> . % 299.97/300.36 12471[0:Rew:36.0,12446.0] || member(u,range_of(union(v,w))) member(f27(u,union(v,w)),intersection(complement(v),complement(w)))* -> . % 299.97/300.36 13245[0:Res:6.2,10964.0] || -> equal(complement(complement(u)),v) member(f1(complement(complement(u)),v),v)* member(f1(complement(complement(u)),v),u)*. % 299.97/300.36 13263[0:Res:6.1,10964.0] || -> equal(u,complement(complement(v))) member(f1(u,complement(complement(v))),u)* member(f1(u,complement(complement(v))),v)*. % 299.97/300.36 13310[0:Res:538.1,560.0] || -> disjoint(cross_product(u,domain_of(cross_product(v,w))),x) member(second(f23(cross_product(u,domain_of(cross_product(v,w))),x)),v)*. % 299.97/300.36 13311[0:Res:538.1,547.0] || -> disjoint(cross_product(u,range_of(cross_product(v,w))),x) member(second(f23(cross_product(u,range_of(cross_product(v,w))),x)),w)*. % 299.97/300.36 13314[0:Res:538.1,274.0] || -> disjoint(cross_product(u,restrict(v,w)),x) member(second(f23(cross_product(u,restrict(v,w)),x)),cross_product(w,universal_set))*. % 299.97/300.36 13353[0:Res:543.1,560.0] || -> disjoint(u,cross_product(v,domain_of(cross_product(w,x)))) member(second(f23(u,cross_product(v,domain_of(cross_product(w,x))))),w)*. % 299.97/300.36 13354[0:Res:543.1,547.0] || -> disjoint(u,cross_product(v,range_of(cross_product(w,x)))) member(second(f23(u,cross_product(v,range_of(cross_product(w,x))))),x)*. % 299.97/300.36 13357[0:Res:543.1,274.0] || -> disjoint(u,cross_product(v,restrict(w,x))) member(second(f23(u,cross_product(v,restrict(w,x)))),cross_product(x,universal_set))*. % 299.97/300.36 13427[0:Res:551.1,560.0] || -> disjoint(cross_product(domain_of(cross_product(u,v)),w),x) member(first(f23(cross_product(domain_of(cross_product(u,v)),w),x)),u)*. % 299.97/300.36 13428[0:Res:551.1,547.0] || -> disjoint(cross_product(range_of(cross_product(u,v)),w),x) member(first(f23(cross_product(range_of(cross_product(u,v)),w),x)),v)*. % 299.97/300.36 13431[0:Res:551.1,274.0] || -> disjoint(cross_product(restrict(u,v),w),x) member(first(f23(cross_product(restrict(u,v),w),x)),cross_product(v,universal_set))*. % 299.97/300.36 13505[0:Res:556.1,560.0] || -> disjoint(u,cross_product(domain_of(cross_product(v,w)),x)) member(first(f23(u,cross_product(domain_of(cross_product(v,w)),x))),v)*. % 299.97/300.36 13506[0:Res:556.1,547.0] || -> disjoint(u,cross_product(range_of(cross_product(v,w)),x)) member(first(f23(u,cross_product(range_of(cross_product(v,w)),x))),w)*. % 299.97/300.36 13509[0:Res:556.1,274.0] || -> disjoint(u,cross_product(restrict(v,w),x)) member(first(f23(u,cross_product(restrict(v,w),x))),cross_product(w,universal_set))*. % 299.97/300.36 13646[0:Res:539.1,560.0] || -> subset(cross_product(u,domain_of(cross_product(v,w))),x) member(second(f17(cross_product(u,domain_of(cross_product(v,w))),x)),v)*. % 299.97/300.36 13647[0:Res:539.1,547.0] || -> subset(cross_product(u,range_of(cross_product(v,w))),x) member(second(f17(cross_product(u,range_of(cross_product(v,w))),x)),w)*. % 299.97/300.36 13650[0:Res:539.1,274.0] || -> subset(cross_product(u,restrict(v,w)),x) member(second(f17(cross_product(u,restrict(v,w)),x)),cross_product(w,universal_set))*. % 299.97/300.36 13709[0:Res:552.1,560.0] || -> subset(cross_product(domain_of(cross_product(u,v)),w),x) member(first(f17(cross_product(domain_of(cross_product(u,v)),w),x)),u)*. % 299.97/300.36 13710[0:Res:552.1,547.0] || -> subset(cross_product(range_of(cross_product(u,v)),w),x) member(first(f17(cross_product(range_of(cross_product(u,v)),w),x)),v)*. % 299.97/300.36 13713[0:Res:552.1,274.0] || -> subset(cross_product(restrict(u,v),w),x) member(first(f17(cross_product(restrict(u,v),w),x)),cross_product(v,universal_set))*. % 299.97/300.36 14428[0:SpR:16.1,372.0] ordered_pair_predicate(u) || -> equal(ordered_pair(singleton_set(f2(u)),non_ordered_pair(f2(u),f3(u))),non_ordered_pair(singleton_set(singleton_set(f2(u))),u))**. % 299.97/300.36 14448[0:SpL:372.0,8.0] || member(u,ordered_pair(singleton_set(v),non_ordered_pair(v,w)))* -> equal(u,ordered_pair(v,w)) equal(u,singleton_set(singleton_set(v))). % 299.97/300.36 14479[0:Res:1151.2,98.0] || member(u,v)* member(ordered_pair(f19(u),f21(u)),w)* disjoint(w,sigma(v))* -> single_valued_set(u). % 299.97/300.36 14480[0:Res:1151.2,68.0] || member(u,v)* member(sigma(v),w)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),sigma(w))*. % 299.97/300.36 14502[0:Res:1152.2,98.0] || member(u,v)* member(ordered_pair(f19(u),f20(u)),w)* disjoint(w,sigma(v))* -> single_valued_set(u). % 299.97/300.36 14503[0:Res:1152.2,68.0] || member(u,v)* member(sigma(v),w)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),sigma(w))*. % 299.97/300.36 14764[0:Res:71.1,314.0] || member(f17(intersection(complement(u),complement(v)),w),union(u,v))* -> subset(intersection(complement(u),complement(v)),w). % 299.97/300.36 14766[0:Res:99.1,314.0] || member(f23(intersection(complement(u),complement(v)),w),union(u,v))* -> disjoint(intersection(complement(u),complement(v)),w). % 299.97/300.36 14777[0:Res:100.1,314.0] || member(f23(u,intersection(complement(v),complement(w))),union(v,w))* -> disjoint(u,intersection(complement(v),complement(w))). % 299.97/300.36 14778[0:Res:954.2,314.0] || subset(u,intersection(complement(v),complement(w)))* member(f23(u,x),union(v,w))* -> disjoint(u,x). % 299.97/300.36 14780[0:Res:961.2,314.0] || subset(u,intersection(complement(v),complement(w)))* member(f23(x,u),union(v,w))* -> disjoint(x,u). % 299.97/300.36 14783[0:Res:955.2,314.0] || subset(u,intersection(complement(v),complement(w)))* member(f17(u,x),union(v,w))* -> subset(u,x). % 299.97/300.36 14795[0:Res:960.2,314.0] || member(u,infinity) subset(infinity,intersection(complement(v),complement(w)))* member(successor(u),union(v,w))* -> . % 299.97/300.36 14802[0:Res:46.1,314.0] || member(u,converse(intersection(complement(v),complement(w)))) member(ordered_pair(second(u),first(u)),union(v,w))* -> . % 299.97/300.36 14894[0:Rew:108.1,14865.1] || member(u,range_of(converse(intersection(v,w)))) -> member(ordered_pair(u,first(f27(u,converse(intersection(v,w))))),v)*. % 299.97/300.36 14895[0:Rew:39.1,14863.1] || member(u,domain_of(converse(intersection(v,w)))) -> member(ordered_pair(second(f8(u,converse(intersection(v,w)))),u),v)*. % 299.97/300.36 15000[0:Rew:108.1,14971.1] || member(u,range_of(converse(intersection(v,w)))) -> member(ordered_pair(u,first(f27(u,converse(intersection(v,w))))),w)*. % 299.97/300.36 15001[0:Rew:39.1,14969.1] || member(u,domain_of(converse(intersection(v,w)))) -> member(ordered_pair(second(f8(u,converse(intersection(v,w)))),u),w)*. % 299.97/300.36 15199[0:Res:965.2,98.0] || member(u,domain_of(v)) subset(v,w)* member(f8(u,v),x)* disjoint(x,w)* -> . % 299.97/300.36 15200[0:Res:965.2,68.0] || member(u,domain_of(v)) subset(v,w)* member(w,x)* -> member(f8(u,v),sigma(x))*. % 299.97/300.36 15211[0:Res:965.2,4238.0] || member(u,domain_of(v))* subset(v,compose(w,x))* equal(y,f8(u,v))* -> ordered_pair_predicate(y)*. % 299.97/300.36 15250[0:Res:964.2,98.0] || member(u,sigma(v)) subset(v,w)* member(f16(u,v),x)* disjoint(x,w)* -> . % 299.97/300.36 15251[0:Res:964.2,68.0] || member(u,sigma(v)) subset(v,w)* member(w,x)* -> member(f16(u,v),sigma(x))*. % 299.97/300.36 15262[0:Res:964.2,4238.0] || member(u,sigma(v))* subset(v,compose(w,x))* equal(y,f16(u,v))* -> ordered_pair_predicate(y)*. % 299.97/300.36 15475[0:Res:963.2,98.0] || member(u,range_of(v)) subset(v,w)* member(f27(u,v),x)* disjoint(x,w)* -> . % 299.97/300.36 15476[0:Res:963.2,68.0] || member(u,range_of(v)) subset(v,w)* member(w,x)* -> member(f27(u,v),sigma(x))*. % 299.97/300.36 15487[0:Res:963.2,4238.0] || member(u,range_of(v))* subset(v,compose(w,x))* equal(y,f27(u,v))* -> ordered_pair_predicate(y)*. % 299.97/300.36 15861[2:Res:378.3,15679.1] ordered_pair_predicate(set_b) || member(second(set_b),u) member(first(set_b),v) disjoint(universal_set,cross_product(v,u))* -> . % 299.97/300.36 15886[2:Res:378.3,15721.1] ordered_pair_predicate(set_a) || member(second(set_a),u) member(first(set_a),v) disjoint(universal_set,cross_product(v,u))* -> . % 299.97/300.36 15978[0:SpL:36.0,945.1] little_set(u) || subset(union(v,w),x)* -> member(u,intersection(complement(v),complement(w)))* member(u,x)*. % 299.97/300.36 16023[0:Res:1080.2,68.0] little_set(u) || equal(u,non_ordered_pair(v,w))* member(ordered_pair(v,w),x)* -> member(u,sigma(x))*. % 299.97/300.36 16074[0:SSi:16052.0,371.0] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),non_ordered_pair(v,w))* -> member(u,converse(ordered_pair(v,w)))*. % 299.97/300.36 16075[0:MRR:16043.0,420.1] || equal(f27(u,complement(ordered_pair(v,w))),non_ordered_pair(v,w)) member(u,range_of(complement(ordered_pair(v,w))))* -> . % 299.97/300.36 16076[0:MRR:16042.0,449.1] || equal(f16(u,complement(ordered_pair(v,w))),non_ordered_pair(v,w)) member(u,sigma(complement(ordered_pair(v,w))))* -> . % 299.97/300.36 16077[0:MRR:16041.0,487.1] || equal(f8(u,complement(ordered_pair(v,w))),non_ordered_pair(v,w)) member(u,domain_of(complement(ordered_pair(v,w))))* -> . % 299.97/300.36 16146[0:Res:493.1,98.0] || member(u,domain_of(intersection(v,w))) member(f8(u,intersection(v,w)),x)* disjoint(x,v) -> . % 299.97/300.36 16147[0:Res:493.1,68.0] || member(u,domain_of(intersection(v,w))) member(v,x) -> member(f8(u,intersection(v,w)),sigma(x))*. % 299.97/300.36 16153[0:Res:493.1,43.0] || member(u,domain_of(intersection(cross_product(v,w),x))) -> member(second(f8(u,intersection(cross_product(v,w),x))),w)*. % 299.97/300.36 16155[0:Res:493.1,4549.0] || member(u,domain_of(intersection(flip_range_of(v),w)))* equal(x,f8(u,intersection(flip_range_of(v),w)))* -> ordered_pair_predicate(x)*. % 299.97/300.36 16157[0:Res:493.1,4578.0] || member(u,domain_of(intersection(rotate_right(v),w)))* equal(x,f8(u,intersection(rotate_right(v),w)))* -> ordered_pair_predicate(x)*. % 299.97/300.36 16376[0:Res:494.1,98.0] || member(u,domain_of(intersection(v,w))) member(f8(u,intersection(v,w)),x)* disjoint(x,w) -> . % 299.97/300.36 16377[0:Res:494.1,68.0] || member(u,domain_of(intersection(v,w))) member(w,x) -> member(f8(u,intersection(v,w)),sigma(x))*. % 299.97/300.36 16383[0:Res:494.1,43.0] || member(u,domain_of(intersection(v,cross_product(w,x)))) -> member(second(f8(u,intersection(v,cross_product(w,x)))),x)*. % 299.97/300.36 16385[0:Res:494.1,4549.0] || member(u,domain_of(intersection(v,flip_range_of(w))))* equal(x,f8(u,intersection(v,flip_range_of(w))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 16387[0:Res:494.1,4578.0] || member(u,domain_of(intersection(v,rotate_right(w))))* equal(x,f8(u,intersection(v,rotate_right(w))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 16769[0:SpL:372.0,1241.2] || equal(u,ordered_pair(v,w))* member(u,x)* disjoint(x,ordered_pair(singleton_set(v),non_ordered_pair(v,w)))* -> . % 299.97/300.36 17028[0:Res:6.2,15955.0] || -> equal(sigma(powerset(u)),v) member(f1(sigma(powerset(u)),v),v)* member(f1(sigma(powerset(u)),v),u)*. % 299.97/300.36 17053[0:Res:6.1,15955.0] || -> equal(u,sigma(powerset(v))) member(f1(u,sigma(powerset(v))),u)* member(f1(u,sigma(powerset(v))),v)*. % 299.97/300.36 17100[0:Res:455.1,98.0] || member(u,sigma(intersection(v,w))) member(f16(u,intersection(v,w)),x)* disjoint(x,v) -> . % 299.97/300.36 17101[0:Res:455.1,68.0] || member(u,sigma(intersection(v,w))) member(v,x) -> member(f16(u,intersection(v,w)),sigma(x))*. % 299.97/300.36 17106[0:Res:455.1,42.0] || member(u,sigma(intersection(cross_product(v,w),x))) -> member(first(f16(u,intersection(cross_product(v,w),x))),v)*. % 299.97/300.36 17107[0:Res:455.1,43.0] || member(u,sigma(intersection(cross_product(v,w),x))) -> member(second(f16(u,intersection(cross_product(v,w),x))),w)*. % 299.97/300.36 17109[0:Res:455.1,4549.0] || member(u,sigma(intersection(flip_range_of(v),w)))* equal(x,f16(u,intersection(flip_range_of(v),w)))* -> ordered_pair_predicate(x)*. % 299.97/300.36 17111[0:Res:455.1,4578.0] || member(u,sigma(intersection(rotate_right(v),w)))* equal(x,f16(u,intersection(rotate_right(v),w)))* -> ordered_pair_predicate(x)*. % 299.97/300.36 17201[0:Res:456.1,98.0] || member(u,sigma(intersection(v,w))) member(f16(u,intersection(v,w)),x)* disjoint(x,w) -> . % 299.97/300.36 17202[0:Res:456.1,68.0] || member(u,sigma(intersection(v,w))) member(w,x) -> member(f16(u,intersection(v,w)),sigma(x))*. % 299.97/300.36 17207[0:Res:456.1,42.0] || member(u,sigma(intersection(v,cross_product(w,x)))) -> member(first(f16(u,intersection(v,cross_product(w,x)))),w)*. % 299.97/300.36 17208[0:Res:456.1,43.0] || member(u,sigma(intersection(v,cross_product(w,x)))) -> member(second(f16(u,intersection(v,cross_product(w,x)))),x)*. % 299.97/300.36 17210[0:Res:456.1,4549.0] || member(u,sigma(intersection(v,flip_range_of(w))))* equal(x,f16(u,intersection(v,flip_range_of(w))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 17212[0:Res:456.1,4578.0] || member(u,sigma(intersection(v,rotate_right(w))))* equal(x,f16(u,intersection(v,rotate_right(w))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 17394[0:Res:426.1,98.0] || member(u,range_of(intersection(v,w))) member(f27(u,intersection(v,w)),x)* disjoint(x,v) -> . % 299.97/300.36 17395[0:Res:426.1,68.0] || member(u,range_of(intersection(v,w))) member(v,x) -> member(f27(u,intersection(v,w)),sigma(x))*. % 299.97/300.36 17400[0:Res:426.1,42.0] || member(u,range_of(intersection(cross_product(v,w),x))) -> member(first(f27(u,intersection(cross_product(v,w),x))),v)*. % 299.97/300.36 17403[0:Res:426.1,4549.0] || member(u,range_of(intersection(flip_range_of(v),w)))* equal(x,f27(u,intersection(flip_range_of(v),w)))* -> ordered_pair_predicate(x)*. % 299.97/300.36 17405[0:Res:426.1,4578.0] || member(u,range_of(intersection(rotate_right(v),w)))* equal(x,f27(u,intersection(rotate_right(v),w)))* -> ordered_pair_predicate(x)*. % 299.97/300.36 17501[0:Res:427.1,98.0] || member(u,range_of(intersection(v,w))) member(f27(u,intersection(v,w)),x)* disjoint(x,w) -> . % 299.97/300.36 17502[0:Res:427.1,68.0] || member(u,range_of(intersection(v,w))) member(w,x) -> member(f27(u,intersection(v,w)),sigma(x))*. % 299.97/300.36 17507[0:Res:427.1,42.0] || member(u,range_of(intersection(v,cross_product(w,x)))) -> member(first(f27(u,intersection(v,cross_product(w,x)))),w)*. % 299.97/300.36 17510[0:Res:427.1,4549.0] || member(u,range_of(intersection(v,flip_range_of(w))))* equal(x,f27(u,intersection(v,flip_range_of(w))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 17512[0:Res:427.1,4578.0] || member(u,range_of(intersection(v,rotate_right(w))))* equal(x,f27(u,intersection(v,rotate_right(w))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 17604[2:MRR:17595.0,1545.1] || equal(first(f22(ordered_pair(u,v),w,x)),singleton_set(u))** member(ordered_pair(u,v),image(w,x)) -> . % 299.97/300.36 17749[0:SpR:310.0,60.0] || -> equal(complement(intersection(union(u,v),complement(singleton_set(intersection(complement(u),complement(v)))))),successor(intersection(complement(u),complement(v))))**. % 299.97/300.36 17787[2:Rew:5392.0,17751.1] || -> little_set(intersection(complement(u),complement(v))) equal(successor(intersection(complement(u),complement(v))),complement(intersection(union(u,v),universal_set)))**. % 299.97/300.36 17790[3:Rew:5392.0,17750.1] || -> ordered_pair_predicate(intersection(complement(u),complement(v))) equal(successor(intersection(complement(u),complement(v))),complement(intersection(union(u,v),universal_set)))**. % 299.97/300.36 18149[0:Res:4115.1,70.0] ordered_pair_predicate(u) || subset(v,w)* -> member(u,converse(complement(v)))* member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.36 18156[0:Res:4115.1,4549.0] ordered_pair_predicate(u) || equal(v,ordered_pair(second(u),first(u)))* -> member(u,converse(complement(flip_range_of(w))))* ordered_pair_predicate(v)*. % 299.97/300.36 18158[0:Res:4115.1,4578.0] ordered_pair_predicate(u) || equal(v,ordered_pair(second(u),first(u)))* -> member(u,converse(complement(rotate_right(w))))* ordered_pair_predicate(v)*. % 299.97/300.36 18181[0:Res:4115.1,274.0] ordered_pair_predicate(u) || -> member(u,converse(complement(restrict(v,w))))* member(ordered_pair(second(u),first(u)),cross_product(w,universal_set))*. % 299.97/300.36 18183[0:Res:4115.1,1354.0] ordered_pair_predicate(u) || -> member(u,converse(complement(image(v,cross_product(w,x)))))* member(ordered_pair(second(u),first(u)),x)*. % 299.97/300.36 18256[0:Res:279.1,70.0] || subset(u,v) -> single_valued_set(intersection(w,u)) member(ordered_pair(f19(intersection(w,u)),f21(intersection(w,u))),v)*. % 299.97/300.36 18276[0:Res:279.1,34.1] || member(ordered_pair(f19(intersection(u,complement(v))),f21(intersection(u,complement(v)))),v)* -> single_valued_set(intersection(u,complement(v))). % 299.97/300.36 18393[0:Res:280.1,70.0] || subset(u,v) -> single_valued_set(intersection(w,u)) member(ordered_pair(f19(intersection(w,u)),f20(intersection(w,u))),v)*. % 299.97/300.36 18413[0:Res:280.1,34.1] || member(ordered_pair(f19(intersection(u,complement(v))),f20(intersection(u,complement(v)))),v)* -> single_valued_set(intersection(u,complement(v))). % 299.97/300.36 18475[0:Res:287.1,70.0] || subset(u,v) -> single_valued_set(intersection(u,w)) member(ordered_pair(f19(intersection(u,w)),f21(intersection(u,w))),v)*. % 299.97/300.36 18495[0:Res:287.1,34.1] || member(ordered_pair(f19(intersection(complement(u),v)),f21(intersection(complement(u),v))),u)* -> single_valued_set(intersection(complement(u),v)). % 299.97/300.36 18617[0:Res:288.1,70.0] || subset(u,v) -> single_valued_set(intersection(u,w)) member(ordered_pair(f19(intersection(u,w)),f20(intersection(u,w))),v)*. % 299.97/300.36 18637[0:Res:288.1,34.1] || member(ordered_pair(f19(intersection(complement(u),v)),f20(intersection(complement(u),v))),u)* -> single_valued_set(intersection(complement(u),v)). % 299.97/300.36 18823[0:Res:384.1,70.0] little_set(u) || subset(intersection(complement(v),complement(w)),x)* -> member(u,union(v,w))* member(u,x)*. % 299.97/300.36 18879[0:SSi:18858.0,371.0] || disjoint(intersection(complement(u),complement(v)),w) -> member(ordered_pair(f19(w),f20(w)),union(u,v))* single_valued_set(w). % 299.97/300.36 18880[0:SSi:18857.0,371.0] || disjoint(intersection(complement(u),complement(v)),w) -> member(ordered_pair(f19(w),f21(w)),union(u,v))* single_valued_set(w). % 299.97/300.36 18929[0:Res:35.2,1137.1] little_set(complement(u)) little_set(v) || -> member(complement(u),w)* member(v,u)* member(v,sigma(complement(w)))*. % 299.97/300.36 18933[0:Res:26.1,1137.1] little_set(u) || member(complement(v),second(w)) -> member(u,v) member(u,sigma(f7(complement(v),w)))*. % 299.97/300.36 18934[0:Res:21.1,1137.1] little_set(u) || member(complement(v),first(w)) -> member(u,v) member(u,sigma(f4(complement(v),w)))*. % 299.97/300.36 18935[0:Res:67.1,1137.1] little_set(u) || member(complement(v),sigma(w)) -> member(u,v) member(u,sigma(f16(complement(v),w)))*. % 299.97/300.36 19006[0:MRR:18997.0,24.1] || equal(f7(u,v),non_ordered_pair(w,x))* member(u,second(v))* -> member(u,sigma(ordered_pair(w,x)))*. % 299.97/300.36 19135[0:MRR:19126.0,18.1] || equal(f4(u,v),non_ordered_pair(w,x))* member(u,first(v))* -> member(u,sigma(ordered_pair(w,x)))*. % 299.97/300.36 19270[0:MRR:19254.0,449.1] || equal(f16(u,v),non_ordered_pair(w,x))* member(u,sigma(v))* -> member(u,sigma(ordered_pair(w,x)))*. % 299.97/300.36 19560[0:Res:546.1,70.0] || member(u,domain_of(cross_product(v,w))) subset(w,x) -> member(second(f8(u,cross_product(v,w))),x)*. % 299.97/300.36 19581[0:Res:546.1,10964.0] || member(u,domain_of(cross_product(v,complement(complement(w))))) -> member(second(f8(u,cross_product(v,complement(complement(w))))),w)*. % 299.97/300.36 19588[0:Res:546.1,31.0] || member(u,domain_of(cross_product(v,intersection(w,x)))) -> member(second(f8(u,cross_product(v,intersection(w,x)))),w)*. % 299.97/300.36 19589[0:Res:546.1,32.0] || member(u,domain_of(cross_product(v,intersection(w,x)))) -> member(second(f8(u,cross_product(v,intersection(w,x)))),x)*. % 299.97/300.36 19593[0:Res:546.1,15955.0] || member(u,domain_of(cross_product(v,sigma(powerset(w))))) -> member(second(f8(u,cross_product(v,sigma(powerset(w))))),w)*. % 299.97/300.36 19595[0:Res:546.1,282.0] || member(u,domain_of(cross_product(v,restrict(w,x)))) -> member(second(f8(u,cross_product(v,restrict(w,x)))),w)*. % 299.97/300.36 19647[0:Res:1161.2,70.0] || member(u,domain_of(v)) member(v,w)* subset(sigma(w),x)* -> member(f8(u,v),x)*. % 299.97/300.36 19766[0:MRR:19740.0,487.1] || equal(f8(u,v),non_ordered_pair(w,x))* member(u,domain_of(v))* disjoint(ordered_pair(w,x),v)* -> . % 299.97/300.36 20023[0:MRR:19999.0,420.1] || equal(f27(u,v),non_ordered_pair(w,x))* member(u,range_of(v))* disjoint(ordered_pair(w,x),v)* -> . % 299.97/300.36 20284[0:MRR:20260.0,449.1] || equal(f16(u,v),non_ordered_pair(w,x))* member(u,sigma(v))* disjoint(ordered_pair(w,x),v)* -> . % 299.97/300.36 20558[0:Res:1160.2,70.0] || member(u,sigma(v)) member(v,w)* subset(sigma(w),x)* -> member(f16(u,v),x)*. % 299.97/300.36 20645[0:Res:545.1,70.0] || member(u,sigma(cross_product(v,w))) subset(w,x) -> member(second(f16(u,cross_product(v,w))),x)*. % 299.97/300.36 20666[0:Res:545.1,10964.0] || member(u,sigma(cross_product(v,complement(complement(w))))) -> member(second(f16(u,cross_product(v,complement(complement(w))))),w)*. % 299.97/300.36 20673[0:Res:545.1,31.0] || member(u,sigma(cross_product(v,intersection(w,x)))) -> member(second(f16(u,cross_product(v,intersection(w,x)))),w)*. % 299.97/300.36 20674[0:Res:545.1,32.0] || member(u,sigma(cross_product(v,intersection(w,x)))) -> member(second(f16(u,cross_product(v,intersection(w,x)))),x)*. % 299.97/300.36 20678[0:Res:545.1,15955.0] || member(u,sigma(cross_product(v,sigma(powerset(w))))) -> member(second(f16(u,cross_product(v,sigma(powerset(w))))),w)*. % 299.97/300.36 20680[0:Res:545.1,282.0] || member(u,sigma(cross_product(v,restrict(w,x)))) -> member(second(f16(u,cross_product(v,restrict(w,x)))),w)*. % 299.97/300.36 20753[0:Res:558.1,70.0] || member(u,sigma(cross_product(v,w))) subset(v,x) -> member(first(f16(u,cross_product(v,w))),x)*. % 299.97/300.36 20774[0:Res:558.1,10964.0] || member(u,sigma(cross_product(complement(complement(v)),w))) -> member(first(f16(u,cross_product(complement(complement(v)),w))),v)*. % 299.97/300.36 20781[0:Res:558.1,31.0] || member(u,sigma(cross_product(intersection(v,w),x))) -> member(first(f16(u,cross_product(intersection(v,w),x))),v)*. % 299.97/300.36 20782[0:Res:558.1,32.0] || member(u,sigma(cross_product(intersection(v,w),x))) -> member(first(f16(u,cross_product(intersection(v,w),x))),w)*. % 299.97/300.36 20786[0:Res:558.1,15955.0] || member(u,sigma(cross_product(sigma(powerset(v)),w))) -> member(first(f16(u,cross_product(sigma(powerset(v)),w))),v)*. % 299.97/300.36 20788[0:Res:558.1,282.0] || member(u,sigma(cross_product(restrict(v,w),x))) -> member(first(f16(u,cross_product(restrict(v,w),x))),v)*. % 299.97/300.36 20846[0:Res:1159.2,70.0] || member(u,range_of(v)) member(v,w)* subset(sigma(w),x)* -> member(f27(u,v),x)*. % 299.97/300.36 20888[0:Res:557.1,70.0] || member(u,range_of(cross_product(v,w))) subset(v,x) -> member(first(f27(u,cross_product(v,w))),x)*. % 299.97/300.36 20909[0:Res:557.1,10964.0] || member(u,range_of(cross_product(complement(complement(v)),w))) -> member(first(f27(u,cross_product(complement(complement(v)),w))),v)*. % 299.97/300.36 20916[0:Res:557.1,31.0] || member(u,range_of(cross_product(intersection(v,w),x))) -> member(first(f27(u,cross_product(intersection(v,w),x))),v)*. % 299.97/300.36 20917[0:Res:557.1,32.0] || member(u,range_of(cross_product(intersection(v,w),x))) -> member(first(f27(u,cross_product(intersection(v,w),x))),w)*. % 299.97/300.36 20921[0:Res:557.1,15955.0] || member(u,range_of(cross_product(sigma(powerset(v)),w))) -> member(first(f27(u,cross_product(sigma(powerset(v)),w))),v)*. % 299.97/300.36 20923[0:Res:557.1,282.0] || member(u,range_of(cross_product(restrict(v,w),x))) -> member(first(f27(u,cross_product(restrict(v,w),x))),v)*. % 299.97/300.36 21010[0:MRR:20985.0,1340.1] || equal(f22(u,v,complement(non_ordered_pair(w,x))),x) member(u,image(v,complement(non_ordered_pair(w,x))))* -> . % 299.97/300.36 21011[0:MRR:20984.0,1340.1] || equal(f22(u,v,complement(non_ordered_pair(w,x))),w) member(u,image(v,complement(non_ordered_pair(w,x))))* -> . % 299.97/300.36 21074[0:MRR:21049.0,1275.1] || equal(f28(u,complement(non_ordered_pair(v,w)),x),w) member(u,apply(complement(non_ordered_pair(v,w)),x))* -> . % 299.97/300.36 21075[0:MRR:21048.0,1275.1] || equal(f28(u,complement(non_ordered_pair(v,w)),x),v) member(u,apply(complement(non_ordered_pair(v,w)),x))* -> . % 299.97/300.36 21093[0:Res:3651.2,70.0] || member(u,cross_product(v,universal_set))* member(u,w)* subset(restrict(w,v),x)* -> member(u,x)*. % 299.97/300.36 21179[0:SpL:16.1,1421.0] ordered_pair_predicate(u) || member(v,u)* -> equal(v,non_ordered_pair(f2(u),f3(u)))* equal(v,singleton_set(f2(u))). % 299.97/300.36 21460[0:Res:540.1,76.0] || -> single_valued_set(cross_product(u,powerset(v))) subset(second(ordered_pair(f19(cross_product(u,powerset(v))),f21(cross_product(u,powerset(v))))),v)*. % 299.97/300.36 21461[0:Res:540.1,1444.0] || -> single_valued_set(cross_product(u,singleton_set(v))) equal(second(ordered_pair(f19(cross_product(u,singleton_set(v))),f21(cross_product(u,singleton_set(v))))),v)**. % 299.97/300.36 21620[0:Res:541.1,76.0] || -> single_valued_set(cross_product(u,powerset(v))) subset(second(ordered_pair(f19(cross_product(u,powerset(v))),f20(cross_product(u,powerset(v))))),v)*. % 299.97/300.36 21621[0:Res:541.1,1444.0] || -> single_valued_set(cross_product(u,singleton_set(v))) equal(second(ordered_pair(f19(cross_product(u,singleton_set(v))),f20(cross_product(u,singleton_set(v))))),v)**. % 299.97/300.36 21699[0:Res:553.1,76.0] || -> single_valued_set(cross_product(powerset(u),v)) subset(first(ordered_pair(f19(cross_product(powerset(u),v)),f21(cross_product(powerset(u),v)))),u)*. % 299.97/300.36 21700[0:Res:553.1,1444.0] || -> single_valued_set(cross_product(singleton_set(u),v)) equal(first(ordered_pair(f19(cross_product(singleton_set(u),v)),f21(cross_product(singleton_set(u),v)))),u)**. % 299.97/300.36 21788[0:Res:554.1,76.0] || -> single_valued_set(cross_product(powerset(u),v)) subset(first(ordered_pair(f19(cross_product(powerset(u),v)),f20(cross_product(powerset(u),v)))),u)*. % 299.97/300.36 21789[0:Res:554.1,1444.0] || -> single_valued_set(cross_product(singleton_set(u),v)) equal(first(ordered_pair(f19(cross_product(singleton_set(u),v)),f20(cross_product(singleton_set(u),v)))),u)**. % 299.97/300.36 21928[0:Rew:108.1,21879.2] || member(u,range_of(converse(v))) subset(v,w) -> member(ordered_pair(u,first(f27(u,converse(v)))),w)*. % 299.97/300.36 21929[0:Rew:39.1,21875.2] || member(u,domain_of(converse(v))) subset(v,w) -> member(ordered_pair(second(f8(u,converse(v))),u),w)*. % 299.97/300.36 22617[0:MRR:22616.0,48.1] || member(u,rotate_right(v)) member(w,ordered_pair(f10(u,v),f11(u,v)))* -> member(w,second(u)). % 299.97/300.36 22619[0:MRR:22618.0,54.1] || member(u,flip_range_of(v)) member(w,ordered_pair(f13(u,v),f14(u,v)))* -> member(w,second(u)). % 299.97/300.36 22814[0:Res:3821.1,76.0] || -> equal(powerset(u),powerset(v)) subset(f1(powerset(u),powerset(v)),v)* subset(f1(powerset(u),powerset(v)),u)*. % 299.97/300.36 22815[0:Res:3821.1,1444.0] || -> equal(singleton_set(u),powerset(v)) subset(f1(singleton_set(u),powerset(v)),v)* equal(f1(singleton_set(u),powerset(v)),u). % 299.97/300.36 22910[0:Res:3839.1,1444.0] || -> equal(powerset(u),singleton_set(v)) subset(f1(powerset(u),singleton_set(v)),u)* equal(f1(powerset(u),singleton_set(v)),v). % 299.97/300.36 22987[0:Res:1339.2,42.0] || member(u,image(v,w)) subset(w,cross_product(x,y))* -> member(first(f22(u,v,w)),x)*. % 299.97/300.36 23007[0:Res:1339.2,560.0] || member(u,image(v,w)) subset(w,domain_of(cross_product(x,y)))* -> member(f22(u,v,w),x)*. % 299.97/300.36 23009[0:Res:1339.2,547.0] || member(u,image(v,w)) subset(w,range_of(cross_product(x,y)))* -> member(f22(u,v,w),y)*. % 299.97/300.36 23080[0:Res:1274.2,43.0] || member(u,apply(v,w)) subset(v,cross_product(x,y))* -> member(second(f28(u,v,w)),y)*. % 299.97/300.36 23099[0:Res:1274.2,560.0] || member(u,apply(v,w)) subset(v,domain_of(cross_product(x,y)))* -> member(f28(u,v,w),x)*. % 299.97/300.36 23101[0:Res:1274.2,547.0] || member(u,apply(v,w)) subset(v,range_of(cross_product(x,y)))* -> member(f28(u,v,w),y)*. % 299.97/300.36 23180[0:Res:1350.1,34.1] || member(u,image(v,intersection(complement(w),x))) member(f22(u,v,intersection(complement(w),x)),w)* -> . % 299.97/300.36 23265[0:Res:1351.1,34.1] || member(u,image(v,intersection(w,complement(x)))) member(f22(u,v,intersection(w,complement(x))),x)* -> . % 299.97/300.36 23350[0:Res:1285.1,34.1] || member(u,apply(intersection(complement(v),w),x)) member(f28(u,intersection(complement(v),w),x),v)* -> . % 299.97/300.36 23451[0:Res:1286.1,34.1] || member(u,apply(intersection(v,complement(w)),x)) member(f28(u,intersection(v,complement(w)),x),w)* -> . % 299.97/300.36 23973[0:SSi:23942.0,371.0] || equal(ordered_pair(second(u),first(u)),v)* member(u,converse(w))* disjoint(non_ordered_pair(x,v),w)* -> . % 299.97/300.36 23974[0:SSi:23941.0,371.0] || equal(ordered_pair(second(u),first(u)),v)* member(u,converse(w))* disjoint(non_ordered_pair(v,x),w)* -> . % 299.97/300.36 24949[0:SSi:24923.0,11.0] little_set(u) || equal(non_ordered_pair(v,w),x)* equal(u,w)* -> member(u,sigma(non_ordered_pair(y,x)))*. % 299.97/300.36 24950[0:SSi:24922.0,11.0] little_set(u) || equal(non_ordered_pair(v,w),x)* equal(u,w)* -> member(u,sigma(non_ordered_pair(x,y)))*. % 299.97/300.36 25004[0:SSi:24979.0,11.0] little_set(u) || equal(non_ordered_pair(v,w),x)* equal(u,v)* -> member(u,sigma(non_ordered_pair(y,x)))*. % 299.97/300.36 25005[0:SSi:24978.0,11.0] little_set(u) || equal(non_ordered_pair(v,w),x)* equal(u,v)* -> member(u,sigma(non_ordered_pair(x,y)))*. % 299.97/300.36 25250[0:MRR:25235.0,5.0] || -> member(f1(complement(u),complement(v)),u)* member(f1(complement(u),complement(v)),v)* equal(complement(u),complement(v)). % 299.97/300.36 25400[6:Res:1544.2,10857.1] || member(u,image(v,w)) subset(v,infinity) equal(successor(first(f22(u,v,w))),universal_set)** -> . % 299.97/300.36 25403[0:Res:1544.2,34.1] || member(u,image(v,w)) subset(v,complement(x)) member(first(f22(u,v,w)),x)* -> . % 299.97/300.36 25404[0:Res:1544.2,10964.0] || member(u,image(v,w)) subset(v,complement(complement(x))) -> member(first(f22(u,v,w)),x)*. % 299.97/300.36 25413[0:Res:1544.2,31.0] || member(u,image(v,w)) subset(v,intersection(x,y))* -> member(first(f22(u,v,w)),x)*. % 299.97/300.36 25414[0:Res:1544.2,32.0] || member(u,image(v,w)) subset(v,intersection(x,y))* -> member(first(f22(u,v,w)),y)*. % 299.97/300.36 25418[0:Res:1544.2,15955.0] || member(u,image(v,w)) subset(v,sigma(powerset(x))) -> member(first(f22(u,v,w)),x)*. % 299.97/300.36 25420[0:Res:1544.2,282.0] || member(u,image(v,w)) subset(v,restrict(x,y))* -> member(first(f22(u,v,w)),x)*. % 299.97/300.36 25508[0:MRR:25470.0,1275.1] || equal(f28(u,v,w),x)* member(u,apply(v,w))* disjoint(non_ordered_pair(y,x),v)* -> . % 299.97/300.36 25509[0:MRR:25469.0,1275.1] || equal(f28(u,v,w),x)* member(u,apply(v,w))* disjoint(non_ordered_pair(x,y),v)* -> . % 299.97/300.36 25642[0:MRR:25604.0,1340.1] || equal(f22(u,v,w),x)* member(u,image(v,w))* disjoint(non_ordered_pair(y,x),w)* -> . % 299.97/300.36 25643[0:MRR:25603.0,1340.1] || equal(f22(u,v,w),x)* member(u,image(v,w))* disjoint(non_ordered_pair(x,y),w)* -> . % 299.97/300.36 25776[6:Res:1344.1,10857.1] || member(u,image(v,cross_product(infinity,w))) equal(successor(first(f22(u,v,cross_product(infinity,w)))),universal_set)** -> . % 299.97/300.36 25777[0:Res:1344.1,76.0] || member(u,image(v,cross_product(powerset(w),x))) -> subset(first(f22(u,v,cross_product(powerset(w),x))),w)*. % 299.97/300.36 25778[0:Res:1344.1,1444.0] || member(u,image(v,cross_product(singleton_set(w),x))) -> equal(first(f22(u,v,cross_product(singleton_set(w),x))),w)**. % 299.97/300.36 25913[6:Res:1555.1,10857.1] || member(u,image(intersection(infinity,v),w)) equal(successor(first(f22(u,intersection(infinity,v),w))),universal_set)** -> . % 299.97/300.36 25914[0:Res:1555.1,76.0] || member(u,image(intersection(powerset(v),w),x)) -> subset(first(f22(u,intersection(powerset(v),w),x)),v)*. % 299.97/300.36 25915[0:Res:1555.1,1444.0] || member(u,image(intersection(singleton_set(v),w),x)) -> equal(first(f22(u,intersection(singleton_set(v),w),x)),v)**. % 299.97/300.36 26070[6:Res:1556.1,10857.1] || member(u,image(intersection(v,infinity),w)) equal(successor(first(f22(u,intersection(v,infinity),w))),universal_set)** -> . % 299.97/300.36 26071[0:Res:1556.1,76.0] || member(u,image(intersection(v,powerset(w)),x)) -> subset(first(f22(u,intersection(v,powerset(w)),x)),w)*. % 299.97/300.36 26072[0:Res:1556.1,1444.0] || member(u,image(intersection(v,singleton_set(w)),x)) -> equal(first(f22(u,intersection(v,singleton_set(w)),x)),w)**. % 299.97/300.36 26140[6:Res:1280.1,10857.1] || member(u,apply(cross_product(v,infinity),w)) equal(successor(second(f28(u,cross_product(v,infinity),w))),universal_set)** -> . % 299.97/300.36 26141[0:Res:1280.1,76.0] || member(u,apply(cross_product(v,powerset(w)),x)) -> subset(second(f28(u,cross_product(v,powerset(w)),x)),w)*. % 299.97/300.36 26142[0:Res:1280.1,1444.0] || member(u,apply(cross_product(v,singleton_set(w)),x)) -> equal(second(f28(u,cross_product(v,singleton_set(w)),x)),w)**. % 299.97/300.36 26408[7:Res:26333.1,1163.0] || subset(universal_set,converse(u))* member(u,v)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),sigma(v))*. % 299.97/300.36 26795[0:Res:11437.1,1561.2] || subset(second(f28(u,v,w)),x)* member(u,apply(v,w)) member(u,complement(x)) -> . % 299.97/300.36 26875[0:MRR:26843.0,1545.1] || equal(first(f22(u,v,w)),x)* member(u,image(v,w)) disjoint(singleton_set(x),v)* -> . % 299.97/300.36 26876[0:MRR:26842.0,1545.1] || subset(first(f22(u,v,w)),x)* member(u,image(v,w)) disjoint(powerset(x),v) -> . % 299.97/300.36 26977[7:Res:26830.1,1009.0] || disjoint(universal_set,complement(converse(u)))* subset(u,v)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)*. % 299.97/300.36 27122[7:Res:26831.1,1009.0] || disjoint(complement(converse(u)),universal_set)* subset(u,v)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)*. % 299.97/300.36 27284[0:Res:11437.1,3652.3] || subset(intersection(u,v),w)* member(x,v)* member(x,u)* member(x,complement(w))* -> . % 299.97/300.36 28343[0:MRR:28310.0,5.0] || equal(f1(u,v),w)* disjoint(singleton_set(w),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.36 28344[0:MRR:28309.0,5.0] || subset(f1(u,v),w)* disjoint(powerset(w),v) -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.36 28718[0:MRR:28682.0,5.0] || equal(f1(u,v),w)* disjoint(singleton_set(w),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.36 28719[0:MRR:28681.0,5.0] || subset(f1(u,v),w)* disjoint(powerset(w),u) -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.36 29661[3:SoR:6223.0,376.1] ordered_pair_predicate(second(u)) || member(u,v) member(first(u),w) -> member(second(u),image(w,v))*. % 299.97/300.36 31010[0:Obv:30972.1] || subset(u,v)* -> equal(f23(non_ordered_pair(w,x),u),x)** disjoint(non_ordered_pair(w,x),u) member(w,v)*. % 299.97/300.36 31011[0:Obv:30952.1] || subset(u,v)* -> equal(f23(non_ordered_pair(w,x),u),w)** disjoint(non_ordered_pair(w,x),u) member(x,v)*. % 299.97/300.36 31018[0:Obv:30969.0] || -> equal(f23(non_ordered_pair(u,v),intersection(w,x)),v)** disjoint(non_ordered_pair(u,v),intersection(w,x)) member(u,x). % 299.97/300.36 31019[0:Obv:30968.0] || -> equal(f23(non_ordered_pair(u,v),intersection(w,x)),v)** disjoint(non_ordered_pair(u,v),intersection(w,x)) member(u,w). % 299.97/300.36 31021[0:Obv:30949.0] || -> equal(f23(non_ordered_pair(u,v),intersection(w,x)),u)** disjoint(non_ordered_pair(u,v),intersection(w,x)) member(v,x). % 299.97/300.36 31022[0:Obv:30948.0] || -> equal(f23(non_ordered_pair(u,v),intersection(w,x)),u)** disjoint(non_ordered_pair(u,v),intersection(w,x)) member(v,w). % 299.97/300.36 31147[0:Obv:31100.1] || subset(u,v)* -> equal(f23(u,non_ordered_pair(w,x)),x)** disjoint(u,non_ordered_pair(w,x)) member(w,v)*. % 299.97/300.36 31148[0:Obv:31078.1] || subset(u,v)* -> equal(f23(u,non_ordered_pair(w,x)),w)** disjoint(u,non_ordered_pair(w,x)) member(x,v)*. % 299.97/300.36 31155[0:Obv:31108.0] || -> equal(f23(intersection(u,v),non_ordered_pair(w,x)),x)** disjoint(intersection(u,v),non_ordered_pair(w,x)) member(w,v). % 299.97/300.36 31156[0:Obv:31107.0] || -> equal(f23(intersection(u,v),non_ordered_pair(w,x)),x)** disjoint(intersection(u,v),non_ordered_pair(w,x)) member(w,u). % 299.97/300.36 31158[0:Obv:31086.0] || -> equal(f23(intersection(u,v),non_ordered_pair(w,x)),w)** disjoint(intersection(u,v),non_ordered_pair(w,x)) member(x,v). % 299.97/300.36 31159[0:Obv:31085.0] || -> equal(f23(intersection(u,v),non_ordered_pair(w,x)),w)** disjoint(intersection(u,v),non_ordered_pair(w,x)) member(x,u). % 299.97/300.36 32189[2:Res:1008.2,17597.0] || member(u,range_of(v)) member(f27(u,v),converse(image(ordered_pair(u,first(f27(u,v))),w)))* -> . % 299.97/300.36 32360[2:Res:1007.2,17597.0] || member(u,domain_of(v)) member(f8(u,v),converse(image(ordered_pair(second(f8(u,v)),u),w)))* -> . % 299.97/300.36 32789[3:Res:3836.2,6160.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* ordered_pair_predicate(second(f1(cross_product(u,v),w)))*. % 299.97/300.36 32794[0:Res:3836.2,4.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* little_set(second(f1(cross_product(u,v),w)))*. % 299.97/300.36 32954[3:Res:3835.2,6160.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* ordered_pair_predicate(first(f1(cross_product(u,v),w)))*. % 299.97/300.36 32959[0:Res:3835.2,4.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* little_set(first(f1(cross_product(u,v),w)))*. % 299.97/300.36 33125[3:Res:3818.2,6160.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* ordered_pair_predicate(second(f1(u,cross_product(v,w))))*. % 299.97/300.36 33130[0:Res:3818.2,4.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* little_set(second(f1(u,cross_product(v,w))))*. % 299.97/300.36 33291[3:Res:3817.2,6160.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* ordered_pair_predicate(first(f1(u,cross_product(v,w))))*. % 299.97/300.36 33296[0:Res:3817.2,4.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* little_set(first(f1(u,cross_product(v,w))))*. % 299.97/300.36 33396[7:Res:33376.1,1009.0] || member(universal_set,powerset(converse(u)))* subset(u,v)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)*. % 299.97/300.36 33975[3:Obv:33968.3] || member(u,v)* equal(first(u),w)* disjoint(apply(v,w),x)* -> disjoint(x,second(u))*. % 299.97/300.36 34121[3:Obv:34115.3] || member(u,v)* equal(first(u),w)* disjoint(apply(v,w),x)* -> disjoint(second(u),x)*. % 299.97/300.36 34774[0:Obv:34766.2] || member(u,v) member(f17(u,intersection(w,sigma(v))),w)* -> subset(u,intersection(w,sigma(v))). % 299.97/300.36 35373[2:Res:4273.2,17676.0] || member(u,compose(v,w)) subset(w,apply_to_two_arguments(x,f31(u,v,w),f30(u,v,w)))* -> . % 299.97/300.36 35493[2:Res:4348.2,17676.0] || member(u,compose(v,w)) subset(v,apply_to_two_arguments(x,f29(u,v,w),f31(u,v,w)))* -> . % 299.97/300.36 38392[0:Obv:38389.0] || subset(u,v)* member(w,apply(u,x))* equal(x,y)* -> member(w,apply(v,y))*. % 299.97/300.36 39707[3:Res:1013.1,39682.0] || member(u,converse(powerset(complement(ordered_pair(second(u),first(u))))))* -> member(infinity,complement(ordered_pair(second(u),first(u)))). % 299.97/300.36 39770[3:Res:39698.1,3829.0] || disjoint(universal_set,u) -> equal(infinity,v) member(f1(infinity,v),v)* member(f1(infinity,v),sigma(complement(u)))*. % 299.97/300.36 39771[3:Res:39698.1,3811.0] || disjoint(universal_set,u) -> equal(v,infinity) member(f1(v,infinity),v)* member(f1(v,infinity),sigma(complement(u)))*. % 299.97/300.36 40640[3:Res:25246.0,6176.0] || -> equal(complement(converse(u)),universal_set) ordered_pair_predicate(ordered_pair(second(f1(universal_set,complement(converse(u)))),first(f1(universal_set,complement(converse(u))))))*. % 299.97/300.36 42205[0:Obv:42197.1] little_set(u) || member(v,apply(intersection(w,x),y))* equal(u,y)* -> member(u,domain_of(x))*. % 299.97/300.36 42206[0:Obv:42196.1] little_set(u) || member(v,apply(intersection(w,x),y))* equal(u,y)* -> member(u,domain_of(w))*. % 299.97/300.36 42280[0:Obv:42277.1] little_set(u) || member(v,image(w,intersection(x,y)))* equal(u,v)* -> member(u,range_of(y))*. % 299.97/300.36 42282[0:Obv:42272.1] little_set(u) || member(v,image(w,intersection(x,y)))* equal(u,v)* -> member(u,range_of(x))*. % 299.97/300.36 43287[3:MRR:43282.0,6160.1] || member(u,converse(v)) member(ordered_pair(second(u),first(u)),w)* -> member(u,converse(intersection(w,v)))*. % 299.97/300.36 43610[14:Res:42571.1,1015.0] || subset(universal_set,converse(cross_product(u,v)))* -> member(second(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w)))),v)*. % 299.97/300.36 43611[14:Res:42571.1,1014.0] || subset(universal_set,converse(cross_product(u,v)))* -> member(first(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w)))),u)*. % 299.97/300.36 43644[14:Res:42571.1,1421.0] || subset(universal_set,ordered_pair(u,v))* -> equal(ordered_pair(universal_set,w),non_ordered_pair(u,v))* equal(ordered_pair(universal_set,w),singleton_set(u)). % 299.97/300.36 43921[0:EqF:1432.1,1432.2] || equal(u,v) -> single_valued_set(non_ordered_pair(v,u)) equal(ordered_pair(f19(non_ordered_pair(v,u)),f21(non_ordered_pair(v,u))),v)**. % 299.97/300.36 43966[6:SpL:1432.1,10905.0] || equal(u,universal_set) -> single_valued_set(non_ordered_pair(v,u)) equal(ordered_pair(f19(non_ordered_pair(v,u)),f21(non_ordered_pair(v,u))),v)**. % 299.97/300.36 43980[6:SpL:1432.2,10905.0] || equal(u,universal_set) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)**. % 299.97/300.36 44065[0:EqF:1433.1,1433.2] || equal(u,v) -> single_valued_set(non_ordered_pair(v,u)) equal(ordered_pair(f19(non_ordered_pair(v,u)),f20(non_ordered_pair(v,u))),v)**. % 299.97/300.36 44110[6:SpL:1433.1,10905.0] || equal(u,universal_set) -> single_valued_set(non_ordered_pair(v,u)) equal(ordered_pair(f19(non_ordered_pair(v,u)),f20(non_ordered_pair(v,u))),v)**. % 299.97/300.36 44124[6:SpL:1433.2,10905.0] || equal(u,universal_set) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)**. % 299.97/300.36 59510[16:Rew:375.0,55195.1] || member(u,range_of(powerset(cross_product(set_a,set_b)))) member(singleton_set(singleton_set(a)),f27(u,powerset(cross_product(set_a,set_b))))* -> . % 299.97/300.36 59511[16:Rew:375.0,55196.1] || member(u,sigma(powerset(cross_product(set_a,set_b)))) member(singleton_set(singleton_set(a)),f16(u,powerset(cross_product(set_a,set_b))))* -> . % 299.97/300.36 59512[16:Rew:375.0,55197.1] || member(u,domain_of(powerset(cross_product(set_a,set_b)))) member(singleton_set(singleton_set(a)),f8(u,powerset(cross_product(set_a,set_b))))* -> . % 299.97/300.36 59513[16:Rew:375.0,55209.2] little_set(u) little_set(v) || member(singleton_set(singleton_set(a)),u) disjoint(universal_set,second(ordered_pair(v,u)))* -> . % 299.97/300.36 59514[16:Rew:375.0,55211.2] little_set(u) little_set(v) || member(singleton_set(singleton_set(a)),v) disjoint(universal_set,first(ordered_pair(v,u)))* -> . % 299.97/300.36 59515[16:Rew:54986.0,55457.2,54986.0,55457.1] || -> equal(non_ordered_pair(u,v),a) equal(f1(non_ordered_pair(u,v),a),v)** equal(f1(non_ordered_pair(u,v),a),u)**. % 299.97/300.36 59516[16:Rew:54986.0,55458.2,54986.0,55458.1] || -> equal(non_ordered_pair(u,v),a) equal(f1(a,non_ordered_pair(u,v)),v)** equal(f1(a,non_ordered_pair(u,v)),u)**. % 299.97/300.36 55496[16:Rew:54986.0,49336.0] || -> equal(singleton_set(u),a) equal(v,u) member(f1(v,u),v)* member(f1(v,u),sigma(singleton_set(u)))*. % 299.97/300.36 55497[16:Rew:54986.0,49332.0] || -> equal(singleton_set(u),a) equal(u,v) member(f1(u,v),v)* member(f1(u,v),sigma(singleton_set(u)))*. % 299.97/300.36 59517[16:Rew:54986.0,55651.2] || member(second(u),v)* member(first(u),w)* member(u,powerset(a)) -> member(second(a),v)*. % 299.97/300.36 59518[16:Rew:54986.0,55683.2] || member(second(u),v)* member(first(u),w)* member(u,powerset(a)) -> member(first(a),w)*. % 299.97/300.36 55755[16:Rew:54986.0,49792.3] || member(u,v)* equal(first(u),w)* disjoint(apply(v,w),universal_set)* -> equal(second(u),a). % 299.97/300.36 55831[16:Rew:54986.0,51120.3] little_set(u) little_set(v) || member(ordered_pair(universal_set,w),v)* -> member(a,sigma(first(ordered_pair(v,u))))*. % 299.97/300.36 55843[16:Rew:54986.0,51139.3] little_set(u) little_set(v) || member(ordered_pair(universal_set,w),u)* -> member(a,sigma(second(ordered_pair(v,u))))*. % 299.97/300.36 56014[16:Rew:54986.0,49003.2] || member(f24(u),apply(v,w)) disjoint(second(f28(f24(u),v,w)),u)* -> equal(u,a). % 299.97/300.36 56015[16:Rew:54986.0,49002.3] || member(f24(u),v) member(f24(u),w) disjoint(intersection(w,v),u)* -> equal(u,a). % 299.97/300.36 56016[16:Rew:54986.0,48963.4] little_set(u) || subset(u,v)* member(f26(u),w)* disjoint(w,v)* -> equal(u,a). % 299.97/300.36 56017[16:Rew:54986.0,48962.3] little_set(u) || subset(u,v)* member(v,w)* -> equal(u,a) member(f26(u),sigma(w))*. % 299.97/300.36 56018[16:Rew:54986.0,48961.3] little_set(u) || subset(u,compose(v,w))* equal(x,f26(u))* -> equal(u,a) ordered_pair_predicate(x)*. % 299.97/300.36 56019[16:Rew:54986.0,48960.2] little_set(u) || subset(u,converse(v))* -> equal(u,a) ordered_pair_predicate(ordered_pair(second(f26(u)),first(f26(u))))*. % 299.97/300.36 56020[16:Rew:54986.0,48954.1] || subset(u,converse(intersection(v,w)))* -> equal(u,a) member(ordered_pair(second(f24(u)),first(f24(u))),v)*. % 299.97/300.36 56021[16:Rew:54986.0,48952.1] || subset(u,converse(intersection(v,w)))* -> equal(u,a) member(ordered_pair(second(f24(u)),first(f24(u))),w)*. % 299.97/300.36 56022[16:Rew:54986.0,48942.2] || subset(u,second(f28(v,w,f24(u))))* member(v,apply(w,f24(u))) -> equal(u,a). % 299.97/300.36 56023[16:Rew:54986.0,48935.3] little_set(u) || member(f26(u),second(v)) disjoint(f7(f26(u),v),u)* -> equal(u,a). % 299.97/300.36 56024[16:Rew:54986.0,48934.3] little_set(u) || member(f26(u),first(v)) disjoint(f4(f26(u),v),u)* -> equal(u,a). % 299.97/300.36 56025[16:Rew:54986.0,48933.3] little_set(u) || member(f26(u),sigma(v)) disjoint(f16(f26(u),v),u)* -> equal(u,a). % 299.97/300.36 56026[16:Rew:54986.0,48925.3] little_set(u) || equal(f26(u),non_ordered_pair(v,w)) disjoint(ordered_pair(v,w),u)* -> equal(u,a). % 299.97/300.36 56027[16:Rew:54986.0,48886.2] little_set(u) || subset(f25,cross_product(v,w))* -> equal(u,a) member(first(ordered_pair(u,f26(u))),v)*. % 299.97/300.36 56028[16:Rew:54986.0,48885.2] little_set(u) || subset(f25,cross_product(v,w))* -> equal(u,a) member(second(ordered_pair(u,f26(u))),w)*. % 299.97/300.36 56029[16:Rew:54986.0,48884.2] little_set(u) || subset(f25,domain_of(cross_product(v,w)))* -> equal(u,a) member(ordered_pair(u,f26(u)),v)*. % 299.97/300.36 56030[16:Rew:54986.0,48883.2] little_set(u) || subset(f25,range_of(cross_product(v,w)))* -> equal(u,a) member(ordered_pair(u,f26(u)),w)*. % 299.97/300.36 59519[16:Rew:54986.0,56031.1] little_set(u) || equal(ordered_pair(u,f26(u)),a)** disjoint(ordered_pair(universal_set,v),f25)* -> equal(u,a). % 299.97/300.36 56032[16:Rew:54986.0,48843.3] little_set(u) || equal(ordered_pair(u,f26(u)),v)* disjoint(non_ordered_pair(w,v),f25)* -> equal(u,a). % 299.97/300.36 56033[16:Rew:54986.0,48842.3] little_set(u) || equal(ordered_pair(u,f26(u)),v)* disjoint(non_ordered_pair(v,w),f25)* -> equal(u,a). % 299.97/300.36 56462[16:Rew:54986.0,49360.2] || equal(u,universal_set) member(u,converse(v))* member(singleton_set(singleton_set(a)),w)* disjoint(w,v)* -> . % 299.97/300.36 56475[16:Rew:54986.0,49473.2] || disjoint(universal_set,complement(converse(u)))* subset(u,v)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)*. % 299.97/300.36 56476[16:Rew:54986.0,49471.2] || disjoint(complement(converse(u)),universal_set)* subset(u,v)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)*. % 299.97/300.36 56477[16:Rew:54986.0,49469.2] || member(universal_set,powerset(converse(u)))* subset(u,v)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)*. % 299.97/300.36 56498[16:Rew:54986.0,49492.2] || subset(universal_set,converse(u))* member(u,v)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),sigma(v))*. % 299.97/300.36 59524[16:Rew:54986.0,56585.1] || equal(cross_product(u,v),singleton_set(a)) -> equal(cross_product(u,v),a) member(first(f26(cross_product(u,v))),u)*. % 299.97/300.36 59525[16:Rew:54986.0,56586.1] || equal(cross_product(u,v),singleton_set(a)) -> equal(cross_product(u,v),a) member(second(f26(cross_product(u,v))),v)*. % 299.97/300.36 56803[16:Rew:54986.0,50391.2] || member(universal_set,powerset(converse(u)))* subset(u,v)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),v)*. % 299.97/300.36 56804[16:Rew:54986.0,50390.2] || disjoint(complement(converse(u)),universal_set)* subset(u,v)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),v)*. % 299.97/300.36 56805[16:Rew:54986.0,50389.2] || disjoint(universal_set,complement(converse(u)))* subset(u,v)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),v)*. % 299.97/300.36 56822[16:Rew:54986.0,50408.2] || subset(universal_set,converse(u))* member(u,v)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),sigma(v))*. % 299.97/300.36 59526[16:Rew:54986.0,56926.1] || equal(cross_product(u,v),powerset(a)) -> equal(cross_product(u,v),a) member(second(f26(cross_product(u,v))),v)*. % 299.97/300.36 59527[16:Rew:54986.0,56927.1] || equal(cross_product(u,v),powerset(a)) -> equal(cross_product(u,v),a) member(first(f26(cross_product(u,v))),u)*. % 299.97/300.36 59528[16:Rew:54986.0,56928.3] || member(u,v)* equal(first(u),w)* -> disjoint(second(u),powerset(a))* member(a,apply(v,w))*. % 299.97/300.36 59529[16:Rew:54986.0,56929.3] || member(u,v)* equal(first(u),w)* -> disjoint(powerset(a),second(u))* member(a,apply(v,w))*. % 299.97/300.36 59530[16:Rew:54986.0,57010.1] || equal(intersection(u,v),f1(universal_set,a)) -> equal(intersection(u,v),a) member(f26(intersection(u,v)),v)*. % 299.97/300.36 59531[16:Rew:54986.0,57011.1] || equal(intersection(u,v),f1(universal_set,a)) -> equal(intersection(u,v),a) member(f26(intersection(u,v)),u)*. % 299.97/300.36 59535[16:Rew:54986.0,57249.1] || subset(f25,second(f28(u,v,ordered_pair(powerset(a),a))))* member(u,apply_to_two_arguments(v,powerset(a),a)) -> . % 299.97/300.36 59536[16:Rew:54986.0,57250.1] || subset(universal_set,second(f28(u,v,ordered_pair(powerset(a),a))))* member(u,apply_to_two_arguments(v,powerset(a),a)) -> . % 299.97/300.36 57251[16:Rew:54986.0,50706.3] ordered_pair_predicate(u) || subset(universal_set,f2(u))* equal(v,u)* -> member(ordered_pair(powerset(a),a),first(v))*. % 299.97/300.36 57252[16:Rew:54986.0,50705.3] ordered_pair_predicate(u) || subset(f25,f2(u))* equal(v,u)* -> member(ordered_pair(powerset(a),a),first(v))*. % 299.97/300.36 57253[16:Rew:54986.0,50708.3] ordered_pair_predicate(u) || subset(universal_set,f3(u))* equal(v,u)* -> member(ordered_pair(powerset(a),a),second(v))*. % 299.97/300.36 57254[16:Rew:54986.0,50707.3] ordered_pair_predicate(u) || subset(f25,f3(u))* equal(v,u)* -> member(ordered_pair(powerset(a),a),second(v))*. % 299.97/300.36 59537[16:Rew:54986.0,57376.4,54986.0,57376.2] function(u) little_set(u) || subset(range_of(u),a)* equal(domain_of(u),a) -> closed(a,u). % 299.97/300.36 57388[16:Rew:54986.0,50091.1] || subset(u,v) -> equal(converse(u),a) member(ordered_pair(second(f24(converse(u))),first(f24(converse(u)))),v)*. % 299.97/300.36 57460[16:Rew:54986.0,49968.0] || -> equal(complement(intersection(union(intersection(complement(u),universal_set),v),complement(w))),union(intersection(union(u,a),complement(v)),w))**. % 299.97/300.36 59538[16:Rew:54986.0,57498.1] || member(ordered_pair(f19(union(u,a)),f21(union(u,a))),intersection(complement(u),universal_set))* -> single_valued_set(union(u,a)). % 299.97/300.36 59539[16:Rew:54986.0,57499.0] || member(ordered_pair(f19(union(u,a)),f20(union(u,a))),intersection(complement(u),universal_set))* -> single_valued_set(union(u,a)). % 299.97/300.36 57578[16:Rew:54986.0,49827.0] || -> equal(complement(intersection(union(intersection(universal_set,complement(u)),v),complement(w))),union(intersection(union(a,u),complement(v)),w))**. % 299.97/300.36 59540[16:Rew:54986.0,57616.1] || member(ordered_pair(f19(union(a,u)),f21(union(a,u))),intersection(universal_set,complement(u)))* -> single_valued_set(union(a,u)). % 299.97/300.36 59541[16:Rew:54986.0,57617.0] || member(ordered_pair(f19(union(a,u)),f20(union(a,u))),intersection(universal_set,complement(u)))* -> single_valued_set(union(a,u)). % 299.97/300.36 57684[16:Rew:54986.0,48627.1] || equal(cross_product(u,v),sigma(infinity)) -> equal(cross_product(u,v),a) member(first(f26(cross_product(u,v))),u)*. % 299.97/300.36 57685[16:Rew:54986.0,48626.1] || equal(cross_product(u,v),sigma(infinity)) -> equal(cross_product(u,v),a) member(second(f26(cross_product(u,v))),v)*. % 299.97/300.36 59542[16:Rew:54986.0,57686.1] || -> equal(cross_product(u,v),a) equal(second(f24(cross_product(u,v))),a) ordered_pair_predicate(f26(second(f24(cross_product(u,v)))))*. % 299.97/300.36 59543[16:Rew:54986.0,57687.1] || -> equal(cross_product(u,v),a) equal(first(f24(cross_product(u,v))),a) ordered_pair_predicate(f26(first(f24(cross_product(u,v)))))*. % 299.97/300.36 57738[16:Rew:54986.0,50315.2] little_set(compose(u,v)) || equal(w,f26(compose(u,v)))* -> equal(compose(u,v),a) ordered_pair_predicate(w)*. % 299.97/300.36 57751[16:Rew:54986.0,50063.0] || -> equal(complement(intersection(union(u,intersection(complement(v),universal_set)),complement(w))),union(intersection(complement(u),union(v,a)),w))**. % 299.97/300.36 57757[16:Rew:54986.0,50072.1] little_set(u) || -> member(u,intersection(union(v,a),complement(w))) member(u,union(intersection(complement(v),universal_set),w))*. % 299.97/300.36 57759[16:Rew:54986.0,50074.0] || -> equal(complement(intersection(complement(u),union(intersection(complement(v),universal_set),w))),union(u,intersection(union(v,a),complement(w))))**. % 299.97/300.36 57761[16:Rew:54986.0,50076.1] little_set(u) || member(union(v,a),w)* -> member(u,intersection(complement(v),universal_set))* member(u,sigma(w))*. % 299.97/300.36 57779[16:Rew:54986.0,49924.0] || -> equal(complement(intersection(union(u,intersection(universal_set,complement(v))),complement(w))),union(intersection(complement(u),union(a,v)),w))**. % 299.97/300.36 57785[16:Rew:54986.0,49933.1] little_set(u) || -> member(u,intersection(union(a,v),complement(w))) member(u,union(intersection(universal_set,complement(v)),w))*. % 299.97/300.36 57787[16:Rew:54986.0,49935.0] || -> equal(complement(intersection(complement(u),union(intersection(universal_set,complement(v)),w))),union(u,intersection(union(a,v),complement(w))))**. % 299.97/300.36 57789[16:Rew:54986.0,49937.1] little_set(u) || member(union(a,v),w)* -> member(u,intersection(universal_set,complement(v)))* member(u,sigma(w))*. % 299.97/300.36 57953[16:Rew:54986.0,51327.0] || member(ordered_pair(a,f21(intersection(f25,u))),v)* disjoint(v,intersection(f25,u)) -> single_valued_set(intersection(f25,u)). % 299.97/300.36 57955[16:Rew:54986.0,51329.2] || member(intersection(f25,u),v) -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f21(intersection(f25,u))),sigma(v))*. % 299.97/300.36 57961[16:Rew:54986.0,51335.0] || member(ordered_pair(a,f20(intersection(f25,u))),v)* disjoint(v,intersection(f25,u)) -> single_valued_set(intersection(f25,u)). % 299.97/300.36 57963[16:Rew:54986.0,51337.2] || member(intersection(f25,u),v) -> single_valued_set(intersection(f25,u)) member(ordered_pair(a,f20(intersection(f25,u))),sigma(v))*. % 299.97/300.36 57969[16:Rew:54986.0,51343.0] || member(ordered_pair(a,f21(intersection(u,f25))),v)* disjoint(v,intersection(u,f25)) -> single_valued_set(intersection(u,f25)). % 299.97/300.36 57971[16:Rew:54986.0,51345.2] || member(intersection(u,f25),v) -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f21(intersection(u,f25))),sigma(v))*. % 299.97/300.36 57977[16:Rew:54986.0,51351.0] || member(ordered_pair(a,f20(intersection(u,f25))),v)* disjoint(v,intersection(u,f25)) -> single_valued_set(intersection(u,f25)). % 299.97/300.36 57979[16:Rew:54986.0,51353.2] || member(intersection(u,f25),v) -> single_valued_set(intersection(u,f25)) member(ordered_pair(a,f20(intersection(u,f25))),sigma(v))*. % 299.97/300.36 57983[16:Rew:54986.0,51396.0] || member(ordered_pair(a,f21(restrict(f25,u))),v)* disjoint(v,restrict(f25,u)) -> single_valued_set(restrict(f25,u)). % 299.97/300.36 57985[16:Rew:54986.0,51398.2] || member(restrict(f25,u),v) -> single_valued_set(restrict(f25,u)) member(ordered_pair(a,f21(restrict(f25,u))),sigma(v))*. % 299.97/300.36 57989[16:Rew:54986.0,51402.0] || member(ordered_pair(a,f20(restrict(f25,u))),v)* disjoint(v,restrict(f25,u)) -> single_valued_set(restrict(f25,u)). % 299.97/300.36 57991[16:Rew:54986.0,51404.2] || member(restrict(f25,u),v) -> single_valued_set(restrict(f25,u)) member(ordered_pair(a,f20(restrict(f25,u))),sigma(v))*. % 299.97/300.36 58040[16:Rew:54986.0,49272.1] little_set(domain_of(cross_product(u,v))) || -> equal(domain_of(cross_product(u,v)),a) member(f26(domain_of(cross_product(u,v))),u)*. % 299.97/300.36 58044[16:Rew:54986.0,49276.1] little_set(range_of(cross_product(u,v))) || -> equal(range_of(cross_product(u,v)),a) member(f26(range_of(cross_product(u,v))),v)*. % 299.97/300.36 58076[16:Rew:54986.0,50616.0] || equal(ordered_pair(second(u),first(u)),a)** member(u,converse(v))* disjoint(ordered_pair(universal_set,w),v)* -> . % 299.97/300.36 58077[16:Rew:54986.0,50612.1] || member(u,converse(v))* -> equal(ordered_pair(second(u),first(u)),a) ordered_pair_predicate(f26(ordered_pair(second(u),first(u))))*. % 299.97/300.36 58280[16:Rew:54986.0,50232.1] little_set(u) || -> member(u,intersection(complement(v),union(w,a))) member(u,union(v,intersection(complement(w),universal_set)))*. % 299.97/300.36 58282[16:Rew:54986.0,50234.0] || -> equal(complement(intersection(complement(u),union(v,intersection(complement(w),universal_set)))),union(u,intersection(complement(v),union(w,a))))**. % 299.97/300.36 58286[16:Rew:54986.0,50238.1] little_set(u) || -> member(u,intersection(complement(v),union(a,w))) member(u,union(v,intersection(universal_set,complement(w))))*. % 299.97/300.36 58288[16:Rew:54986.0,50240.0] || -> equal(complement(intersection(complement(u),union(v,intersection(universal_set,complement(w))))),union(u,intersection(complement(v),union(a,w))))**. % 299.97/300.36 59544[16:Rew:54986.0,58369.0] || member(f1(intersection(complement(u),complement(v)),a),union(u,v))* -> equal(intersection(complement(u),complement(v)),a). % 299.97/300.36 59545[16:Rew:54986.0,58370.0] || member(f1(a,intersection(complement(u),complement(v))),union(u,v))* -> equal(intersection(complement(u),complement(v)),a). % 299.97/300.36 58383[16:Rew:54986.0,51204.0] || equal(f28(u,v,w),a) member(u,apply(v,w))* disjoint(ordered_pair(universal_set,x),v)* -> . % 299.97/300.36 58385[16:Rew:54986.0,51208.0] || equal(f22(u,v,w),a) member(u,image(v,w))* disjoint(ordered_pair(universal_set,x),w)* -> . % 299.97/300.36 58401[16:Rew:54986.0,49727.1] || member(u,converse(complement(singleton_set(ordered_pair(second(u),first(u))))))* -> equal(singleton_set(ordered_pair(second(u),first(u))),a). % 299.97/300.36 58402[16:Rew:54986.0,49774.3] || subset(universal_set,second(u))* member(u,v)* equal(first(u),w)* -> member(a,apply(v,w))*. % 299.97/300.36 58403[16:Rew:54986.0,50158.0] || -> equal(intersection(image(u,cross_product(v,w)),x),a) member(f24(intersection(image(u,cross_product(v,w)),x)),w)*. % 299.97/300.36 58404[16:Rew:54986.0,50159.0] || -> equal(intersection(u,image(v,cross_product(w,x))),a) member(f24(intersection(u,image(v,cross_product(w,x)))),x)*. % 299.97/300.36 58405[16:Rew:54986.0,50316.1] || equal(u,second(f24(cross_product(v,compose(w,x)))))* -> equal(cross_product(v,compose(w,x)),a) ordered_pair_predicate(u)*. % 299.97/300.36 58406[16:Rew:54986.0,50317.1] || equal(u,first(f24(cross_product(compose(v,w),x))))* -> equal(cross_product(compose(v,w),x),a) ordered_pair_predicate(u)*. % 299.97/300.36 58407[16:Rew:54986.0,50802.0] || equal(ordered_pair(f19(complement(ordered_pair(universal_set,u))),f21(complement(ordered_pair(universal_set,u)))),a)** -> single_valued_set(complement(ordered_pair(universal_set,u))). % 299.97/300.36 58408[16:Rew:54986.0,50803.0] || equal(ordered_pair(f19(complement(ordered_pair(universal_set,u))),f20(complement(ordered_pair(universal_set,u)))),a)** -> single_valued_set(complement(ordered_pair(universal_set,u))). % 299.97/300.36 58409[16:Rew:54986.0,50899.1] || disjoint(singleton_set(ordered_pair(f19(u),f21(u))),u)* -> equal(singleton_set(ordered_pair(f19(u),f21(u))),a) single_valued_set(u). % 299.97/300.36 58410[16:Rew:54986.0,50902.1] || disjoint(singleton_set(ordered_pair(f19(u),f20(u))),u)* -> equal(singleton_set(ordered_pair(f19(u),f20(u))),a) single_valued_set(u). % 299.97/300.36 58411[16:Rew:54986.0,51097.0] || equal(f22(u,v,complement(ordered_pair(universal_set,w))),a) member(u,image(v,complement(ordered_pair(universal_set,w))))* -> . % 299.97/300.36 58412[16:Rew:54986.0,51098.0] || equal(f28(u,complement(ordered_pair(universal_set,v)),w),a) member(u,apply(complement(ordered_pair(universal_set,v)),w))* -> . % 299.97/300.36 58413[16:Rew:54986.0,51573.0] || -> member(a,sigma(complement(converse(intersection(u,v)))))* member(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),v)*. % 299.97/300.36 58414[16:Rew:54986.0,51572.0] || -> member(a,sigma(complement(converse(intersection(u,v)))))* member(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),u)*. % 299.97/300.36 58415[16:Rew:54986.0,51574.2] ordered_pair_predicate(u) || equal(v,u)* -> member(a,sigma(complement(f2(u))))* member(ordered_pair(universal_set,w),first(v))*. % 299.97/300.36 58416[16:Rew:54986.0,51575.2] ordered_pair_predicate(u) || equal(v,u)* -> member(a,sigma(complement(f3(u))))* member(ordered_pair(universal_set,w),second(v))*. % 299.97/300.36 66636[0:SSi:66613.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(w,rotate_right(universal_set))*. % 299.97/300.36 66800[0:SSi:66773.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(universal_set))*. % 299.97/300.36 73324[17:Rew:73253.0,57083.3] || subset(universal_set,f12(u,v))* member(u,flip_range_of(v)) equal(w,u)* -> member(a,first(w))*. % 299.97/300.36 73325[17:Rew:73253.0,57082.3] || subset(universal_set,f9(u,v))* member(u,rotate_right(v)) equal(w,u)* -> member(a,first(w))*. % 299.97/300.36 73326[17:Rew:73253.0,57081.3] || subset(universal_set,f6(u,v))* member(u,second(v)) equal(w,v)* -> member(a,first(w))*. % 299.97/300.36 73327[17:Rew:73253.0,57080.3] || subset(universal_set,f4(u,v))* member(u,first(v)) equal(w,v)* -> member(a,first(w))*. % 299.97/300.36 73330[17:Rew:73253.0,57087.3] || subset(universal_set,f7(u,v))* member(u,second(v)) equal(w,v)* -> member(a,second(w))*. % 299.97/300.36 73331[17:Rew:73253.0,57086.3] || subset(universal_set,f5(u,v))* member(u,first(v)) equal(w,v)* -> member(a,second(w))*. % 299.97/300.36 78659[16:Res:55151.1,56189.0] || -> equal(cross_product(u,v),a) equal(second(f24(cross_product(u,v))),a) little_set(f26(second(f24(cross_product(u,v)))))*. % 299.97/300.36 78694[16:Res:46.1,56189.0] || member(u,converse(v))* -> equal(ordered_pair(second(u),first(u)),a) little_set(f26(ordered_pair(second(u),first(u))))*. % 299.97/300.36 78728[16:Res:55152.1,56189.0] || -> equal(cross_product(u,v),a) equal(first(f24(cross_product(u,v))),a) little_set(f26(first(f24(cross_product(u,v)))))*. % 299.97/300.36 82606[3:Obv:82560.2] || member(u,v)* equal(first(u),w)* -> disjoint(singleton_set(x),second(u))* member(x,apply(v,w))*. % 299.97/300.36 83234[3:Obv:83187.2] || member(u,v)* equal(first(u),w)* -> disjoint(second(u),singleton_set(x))* member(x,apply(v,w))*. % 299.97/300.36 83594[16:MRR:57639.0,83558.0] || -> equal(u,f24(powerset(v))) member(f1(u,f24(powerset(v))),u)* member(f1(u,f24(powerset(v))),v)*. % 299.97/300.36 83595[16:MRR:57640.0,83558.0] || -> equal(f24(powerset(u)),v) member(f1(f24(powerset(u)),v),v)* member(f1(f24(powerset(u)),v),u)*. % 299.97/300.36 83924[16:Res:493.1,83606.1] || member(u,domain_of(intersection(f24(powerset(v)),w))) subset(f8(u,intersection(f24(powerset(v)),w)),v)* -> . % 299.97/300.36 83926[16:Res:455.1,83606.1] || member(u,sigma(intersection(f24(powerset(v)),w))) subset(f16(u,intersection(f24(powerset(v)),w)),v)* -> . % 299.97/300.36 83928[16:Res:426.1,83606.1] || member(u,range_of(intersection(f24(powerset(v)),w))) subset(f27(u,intersection(f24(powerset(v)),w)),v)* -> . % 299.97/300.36 83962[16:Res:494.1,83606.1] || member(u,domain_of(intersection(v,f24(powerset(w))))) subset(f8(u,intersection(v,f24(powerset(w)))),w)* -> . % 299.97/300.36 83964[16:Res:456.1,83606.1] || member(u,sigma(intersection(v,f24(powerset(w))))) subset(f16(u,intersection(v,f24(powerset(w)))),w)* -> . % 299.97/300.36 83966[16:Res:427.1,83606.1] || member(u,range_of(intersection(v,f24(powerset(w))))) subset(f27(u,intersection(v,f24(powerset(w)))),w)* -> . % 299.97/300.36 84000[16:Res:56107.3,83606.1] little_set(u) || subset(f25,f24(powerset(v))) subset(ordered_pair(u,f26(u)),v)* -> equal(u,a). % 299.97/300.36 84021[16:Res:1339.2,83606.1] || member(u,image(v,w)) subset(w,f24(powerset(x))) subset(f22(u,v,w),x)* -> . % 299.97/300.36 84023[16:Res:1274.2,83606.1] || member(u,apply(v,w)) subset(v,f24(powerset(x))) subset(f28(u,v,w),x)* -> . % 299.97/300.36 84114[2:Res:493.1,25433.0] || member(u,domain_of(intersection(image(v,w),x))) subset(v,f8(u,intersection(image(v,w),x)))* -> . % 299.97/300.36 84116[2:Res:455.1,25433.0] || member(u,sigma(intersection(image(v,w),x))) subset(v,f16(u,intersection(image(v,w),x)))* -> . % 299.97/300.36 84118[2:Res:426.1,25433.0] || member(u,range_of(intersection(image(v,w),x))) subset(v,f27(u,intersection(image(v,w),x)))* -> . % 299.97/300.36 84152[2:Res:494.1,25433.0] || member(u,domain_of(intersection(v,image(w,x)))) subset(w,f8(u,intersection(v,image(w,x))))* -> . % 299.97/300.36 84154[2:Res:456.1,25433.0] || member(u,sigma(intersection(v,image(w,x)))) subset(w,f16(u,intersection(v,image(w,x))))* -> . % 299.97/300.36 84156[2:Res:427.1,25433.0] || member(u,range_of(intersection(v,image(w,x)))) subset(w,f27(u,intersection(v,image(w,x))))* -> . % 299.97/300.36 84190[16:Res:56107.3,25433.0] little_set(u) || subset(f25,image(v,w))* subset(v,ordered_pair(u,f26(u)))* -> equal(u,a). % 299.97/300.36 84211[2:Res:1339.2,25433.0] || member(u,image(v,w)) subset(w,image(x,y))* subset(x,f22(u,v,w))* -> . % 299.97/300.36 84213[2:Res:1274.2,25433.0] || member(u,apply(v,w)) subset(v,image(x,y))* subset(x,f28(u,v,w))* -> . % 299.97/300.36 87691[16:Res:82665.1,1542.1] || equal(first(f22(u,v,w)),a)** member(u,image(v,w)) disjoint(sigma(infinity),v) -> . % 299.97/300.36 87845[16:Res:82681.1,1542.1] || equal(first(f22(u,v,w)),a)** member(u,image(v,w)) disjoint(successor(a),v) -> . % 299.97/300.36 87925[16:Rew:87905.1,87766.1] || equal(f1(successor(a),non_ordered_pair(u,v)),a)** equal(a,v) -> equal(non_ordered_pair(u,v),successor(a)). % 299.97/300.36 87926[16:Rew:87905.1,87765.1] || equal(f1(successor(a),non_ordered_pair(u,v)),a)** equal(a,u) -> equal(non_ordered_pair(u,v),successor(a)). % 299.97/300.36 87927[16:Rew:87905.1,87612.1] || equal(f1(sigma(infinity),non_ordered_pair(u,v)),a)** equal(a,v) -> equal(non_ordered_pair(u,v),sigma(infinity)). % 299.97/300.36 87928[16:Rew:87905.1,87611.1] || equal(f1(sigma(infinity),non_ordered_pair(u,v)),a)** equal(a,u) -> equal(non_ordered_pair(u,v),sigma(infinity)). % 299.97/300.36 87988[16:Rew:87905.1,87796.1] || equal(f17(u,intersection(v,successor(a))),a)** member(a,v) -> subset(u,intersection(v,successor(a))). % 299.97/300.36 87989[16:Rew:87905.1,87642.1] || equal(f17(u,intersection(v,sigma(infinity))),a)** member(a,v) -> subset(u,intersection(v,sigma(infinity))). % 299.97/300.36 88007[16:Rew:87905.1,29663.3] || member(u,v)* member(first(u),w)* equal(second(u),a) -> member(a,image(w,v))*. % 299.97/300.36 88077[3:Res:82671.1,3829.0] || equal(infinity,u) -> equal(u,v) member(f1(u,v),v)* member(f1(u,v),sigma(singleton_set(u)))*. % 299.97/300.36 88078[3:Res:82671.1,3811.0] || equal(infinity,u) -> equal(v,u) member(f1(v,u),v)* member(f1(v,u),sigma(singleton_set(u)))*. % 299.97/300.36 88125[3:Res:82671.1,1019.1] || equal(ordered_pair(second(u),first(u)),infinity) member(u,converse(complement(singleton_set(ordered_pair(second(u),first(u))))))* -> . % 299.97/300.36 88127[3:Res:82671.1,1215.0] || equal(ordered_pair(f19(u),f21(u)),infinity) disjoint(singleton_set(ordered_pair(f19(u),f21(u))),u)* -> single_valued_set(u). % 299.97/300.36 88128[3:Res:82671.1,1216.0] || equal(ordered_pair(f19(u),f20(u)),infinity) disjoint(singleton_set(ordered_pair(f19(u),f20(u))),u)* -> single_valued_set(u). % 299.97/300.36 88353[3:Res:88327.1,3829.0] || subset(infinity,u) -> equal(infinity,v) member(f1(infinity,v),v)* member(f1(infinity,v),sigma(powerset(u)))*. % 299.97/300.36 88354[3:Res:88327.1,3811.0] || subset(infinity,u) -> equal(v,infinity) member(f1(v,infinity),v)* member(f1(v,infinity),sigma(powerset(u)))*. % 299.97/300.36 88430[16:Res:57853.0,1354.0] || -> equal(complement(complement(image(u,cross_product(v,w)))),a) member(f24(complement(complement(image(u,cross_product(v,w))))),w)*. % 299.97/300.36 88614[16:Res:88372.0,4165.0] || member(f1(u,powerset(v)),u)* -> member(a,complement(singleton_set(f1(u,powerset(v)))))* equal(u,powerset(v)). % 299.97/300.36 88922[16:Res:77.2,57904.0] little_set(complement(sigma(powerset(u)))) || subset(complement(sigma(powerset(u))),u)* -> equal(complement(sigma(powerset(u))),a). % 299.97/300.36 88923[16:Res:1079.2,57904.0] little_set(complement(sigma(singleton_set(u)))) || equal(complement(sigma(singleton_set(u))),u)** -> equal(complement(sigma(singleton_set(u))),a). % 299.97/300.36 89186[0:Res:94.1,14370.1] || member(u,image(converse(complement(v)),w)) member(first(f22(u,converse(complement(v)),w)),converse(v))* -> . % 299.97/300.36 89207[0:Res:538.1,14370.1] || member(second(f23(cross_product(u,converse(complement(v))),w)),converse(v))* -> disjoint(cross_product(u,converse(complement(v))),w). % 299.97/300.36 89208[0:Res:539.1,14370.1] || member(second(f17(cross_product(u,converse(complement(v))),w)),converse(v))* -> subset(cross_product(u,converse(complement(v))),w). % 299.97/300.36 89217[0:Res:543.1,14370.1] || member(second(f23(u,cross_product(v,converse(complement(w))))),converse(w))* -> disjoint(u,cross_product(v,converse(complement(w)))). % 299.97/300.36 89246[0:Res:4115.1,14370.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),converse(v))* -> member(u,converse(complement(converse(complement(v))))). % 299.97/300.36 89273[0:Res:551.1,14370.1] || member(first(f23(cross_product(converse(complement(u)),v),w)),converse(u))* -> disjoint(cross_product(converse(complement(u)),v),w). % 299.97/300.36 89274[0:Res:552.1,14370.1] || member(first(f17(cross_product(converse(complement(u)),v),w)),converse(u))* -> subset(cross_product(converse(complement(u)),v),w). % 299.97/300.36 89279[0:Res:556.1,14370.1] || member(first(f23(u,cross_product(converse(complement(v)),w))),converse(v))* -> disjoint(u,cross_product(converse(complement(v)),w)). % 299.97/300.36 89387[0:Res:286.1,43745.1] || member(f17(intersection(flip_range_of(complement(flip_range_of(u))),v),w),u)* -> subset(intersection(flip_range_of(complement(flip_range_of(u))),v),w). % 299.97/300.36 89389[0:Res:285.1,43745.1] || member(f23(intersection(flip_range_of(complement(flip_range_of(u))),v),w),u)* -> disjoint(intersection(flip_range_of(complement(flip_range_of(u))),v),w). % 299.97/300.36 89390[0:Res:87.1,43745.1] || member(ordered_pair(f19(flip_range_of(complement(flip_range_of(u)))),f21(flip_range_of(complement(flip_range_of(u))))),u)* -> single_valued_set(flip_range_of(complement(flip_range_of(u)))). % 299.97/300.36 89391[0:Res:86.1,43745.1] || member(ordered_pair(f19(flip_range_of(complement(flip_range_of(u)))),f20(flip_range_of(complement(flip_range_of(u))))),u)* -> single_valued_set(flip_range_of(complement(flip_range_of(u)))). % 299.97/300.36 89423[0:Res:289.1,43745.1] || member(f23(u,intersection(flip_range_of(complement(flip_range_of(v))),w)),v)* -> disjoint(u,intersection(flip_range_of(complement(flip_range_of(v))),w)). % 299.97/300.36 89425[0:Res:277.1,43745.1] || member(f23(intersection(u,flip_range_of(complement(flip_range_of(v)))),w),v)* -> disjoint(intersection(u,flip_range_of(complement(flip_range_of(v)))),w). % 299.97/300.36 89428[0:Res:278.1,43745.1] || member(f17(intersection(u,flip_range_of(complement(flip_range_of(v)))),w),v)* -> subset(intersection(u,flip_range_of(complement(flip_range_of(v)))),w). % 299.97/300.36 89435[0:Res:118.1,43745.1] || member(u,apply(flip_range_of(complement(flip_range_of(v))),w)) member(f28(u,flip_range_of(complement(flip_range_of(v))),w),v)* -> . % 299.97/300.36 89446[16:Res:55151.1,43745.1] || member(second(f24(cross_product(u,flip_range_of(complement(flip_range_of(v)))))),v)* -> equal(cross_product(u,flip_range_of(complement(flip_range_of(v)))),a). % 299.97/300.36 89460[0:Res:93.1,43745.1] || member(u,image(v,flip_range_of(complement(flip_range_of(w))))) member(f22(u,v,flip_range_of(complement(flip_range_of(w)))),w)* -> . % 299.97/300.36 89466[0:Res:281.1,43745.1] || member(f23(u,intersection(v,flip_range_of(complement(flip_range_of(w))))),w)* -> disjoint(u,intersection(v,flip_range_of(complement(flip_range_of(w))))). % 299.97/300.36 89480[0:Res:4115.1,43745.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(u,converse(complement(flip_range_of(complement(flip_range_of(v))))))*. % 299.97/300.36 89513[16:Res:55152.1,43745.1] || member(first(f24(cross_product(flip_range_of(complement(flip_range_of(u))),v))),u)* -> equal(cross_product(flip_range_of(complement(flip_range_of(u))),v),a). % 299.97/300.36 89606[16:Res:1548.1,56180.0] || member(u,image(powerset(v),w)) disjoint(v,universal_set) -> equal(first(f22(u,powerset(v),w)),a)**. % 299.97/300.36 91506[3:SSi:91505.0,371.0] little_set(u) single_valued_set(sigma(universal_set)) || member(v,compose(universal_set,w))* -> equal(u,f31(v,universal_set,w))*. % 299.97/300.36 91519[3:MRR:91518.3,10966.1] little_set(u) single_valued_set(sigma(universal_set)) || member(v,compose(w,x))* -> equal(u,f30(v,w,x))*. % 299.97/300.36 92563[0:Res:286.1,19261.0] || -> subset(intersection(sigma(intersection(u,v)),w),x) member(f17(intersection(sigma(intersection(u,v)),w),x),sigma(u))*. % 299.97/300.36 92565[0:Res:285.1,19261.0] || -> disjoint(intersection(sigma(intersection(u,v)),w),x) member(f23(intersection(sigma(intersection(u,v)),w),x),sigma(u))*. % 299.97/300.36 92566[0:Res:87.1,19261.0] || -> single_valued_set(sigma(intersection(u,v))) member(ordered_pair(f19(sigma(intersection(u,v))),f21(sigma(intersection(u,v)))),sigma(u))*. % 299.97/300.36 92567[0:Res:86.1,19261.0] || -> single_valued_set(sigma(intersection(u,v))) member(ordered_pair(f19(sigma(intersection(u,v))),f20(sigma(intersection(u,v)))),sigma(u))*. % 299.97/300.36 92599[0:Res:289.1,19261.0] || -> disjoint(u,intersection(sigma(intersection(v,w)),x)) member(f23(u,intersection(sigma(intersection(v,w)),x)),sigma(v))*. % 299.97/300.36 92601[0:Res:277.1,19261.0] || -> disjoint(intersection(u,sigma(intersection(v,w))),x) member(f23(intersection(u,sigma(intersection(v,w))),x),sigma(v))*. % 299.97/300.36 92604[0:Res:278.1,19261.0] || -> subset(intersection(u,sigma(intersection(v,w))),x) member(f17(intersection(u,sigma(intersection(v,w))),x),sigma(v))*. % 299.97/300.36 92611[0:Res:118.1,19261.0] || member(u,apply(sigma(intersection(v,w)),x)) -> member(f28(u,sigma(intersection(v,w)),x),sigma(v))*. % 299.97/300.36 92622[16:Res:55151.1,19261.0] || -> equal(cross_product(u,sigma(intersection(v,w))),a) member(second(f24(cross_product(u,sigma(intersection(v,w))))),sigma(v))*. % 299.97/300.36 92636[0:Res:93.1,19261.0] || member(u,image(v,sigma(intersection(w,x)))) -> member(f22(u,v,sigma(intersection(w,x))),sigma(w))*. % 299.97/300.36 92642[0:Res:281.1,19261.0] || -> disjoint(u,intersection(v,sigma(intersection(w,x)))) member(f23(u,intersection(v,sigma(intersection(w,x)))),sigma(w))*. % 299.97/300.36 92656[0:Res:4115.1,19261.0] ordered_pair_predicate(u) || -> member(u,converse(complement(sigma(intersection(v,w)))))* member(ordered_pair(second(u),first(u)),sigma(v))*. % 299.97/300.36 92688[16:Res:55152.1,19261.0] || -> equal(cross_product(sigma(intersection(u,v)),w),a) member(first(f24(cross_product(sigma(intersection(u,v)),w))),sigma(u))*. % 299.97/300.36 92709[16:Res:56082.3,19261.0] little_set(u) || member(f25,intersection(v,w))* -> equal(u,a) member(ordered_pair(u,f26(u)),sigma(v))*. % 299.97/300.36 92717[0:Res:1338.2,19261.0] || member(u,image(v,w)) member(w,intersection(x,y))* -> member(f22(u,v,w),sigma(x))*. % 299.97/300.36 92718[0:Res:1273.2,19261.0] || member(u,apply(v,w)) member(v,intersection(x,y))* -> member(f28(u,v,w),sigma(x))*. % 299.97/300.36 92765[0:Res:286.1,19263.0] || -> subset(intersection(sigma(intersection(u,v)),w),x) member(f17(intersection(sigma(intersection(u,v)),w),x),sigma(v))*. % 299.97/300.36 92767[0:Res:285.1,19263.0] || -> disjoint(intersection(sigma(intersection(u,v)),w),x) member(f23(intersection(sigma(intersection(u,v)),w),x),sigma(v))*. % 299.97/300.36 92768[0:Res:87.1,19263.0] || -> single_valued_set(sigma(intersection(u,v))) member(ordered_pair(f19(sigma(intersection(u,v))),f21(sigma(intersection(u,v)))),sigma(v))*. % 299.97/300.36 92769[0:Res:86.1,19263.0] || -> single_valued_set(sigma(intersection(u,v))) member(ordered_pair(f19(sigma(intersection(u,v))),f20(sigma(intersection(u,v)))),sigma(v))*. % 299.97/300.36 92801[0:Res:289.1,19263.0] || -> disjoint(u,intersection(sigma(intersection(v,w)),x)) member(f23(u,intersection(sigma(intersection(v,w)),x)),sigma(w))*. % 299.97/300.36 92803[0:Res:277.1,19263.0] || -> disjoint(intersection(u,sigma(intersection(v,w))),x) member(f23(intersection(u,sigma(intersection(v,w))),x),sigma(w))*. % 299.97/300.36 92806[0:Res:278.1,19263.0] || -> subset(intersection(u,sigma(intersection(v,w))),x) member(f17(intersection(u,sigma(intersection(v,w))),x),sigma(w))*. % 299.97/300.36 92813[0:Res:118.1,19263.0] || member(u,apply(sigma(intersection(v,w)),x)) -> member(f28(u,sigma(intersection(v,w)),x),sigma(w))*. % 299.97/300.36 92824[16:Res:55151.1,19263.0] || -> equal(cross_product(u,sigma(intersection(v,w))),a) member(second(f24(cross_product(u,sigma(intersection(v,w))))),sigma(w))*. % 299.97/300.36 92838[0:Res:93.1,19263.0] || member(u,image(v,sigma(intersection(w,x)))) -> member(f22(u,v,sigma(intersection(w,x))),sigma(x))*. % 299.97/300.36 92844[0:Res:281.1,19263.0] || -> disjoint(u,intersection(v,sigma(intersection(w,x)))) member(f23(u,intersection(v,sigma(intersection(w,x)))),sigma(x))*. % 299.97/300.36 92858[0:Res:4115.1,19263.0] ordered_pair_predicate(u) || -> member(u,converse(complement(sigma(intersection(v,w)))))* member(ordered_pair(second(u),first(u)),sigma(w))*. % 299.97/300.36 92890[16:Res:55152.1,19263.0] || -> equal(cross_product(sigma(intersection(u,v)),w),a) member(first(f24(cross_product(sigma(intersection(u,v)),w))),sigma(v))*. % 299.97/300.36 92911[16:Res:56082.3,19263.0] little_set(u) || member(f25,intersection(v,w))* -> equal(u,a) member(ordered_pair(u,f26(u)),sigma(w))*. % 299.97/300.36 92919[0:Res:1338.2,19263.0] || member(u,image(v,w)) member(w,intersection(x,y))* -> member(f22(u,v,w),sigma(y))*. % 299.97/300.36 92920[0:Res:1273.2,19263.0] || member(u,apply(v,w)) member(v,intersection(x,y))* -> member(f28(u,v,w),sigma(y))*. % 299.97/300.36 93023[16:Res:423.1,56181.0] || member(u,range_of(powerset(v))) disjoint(v,f27(u,powerset(v)))* -> equal(f27(u,powerset(v)),a). % 299.97/300.36 93025[16:Res:490.1,56181.0] || member(u,domain_of(powerset(v))) disjoint(v,f8(u,powerset(v)))* -> equal(f8(u,powerset(v)),a). % 299.97/300.36 93926[16:MRR:91818.4,93881.3] ordered_pair_predicate(u) || equal(cross_product(v,w),a)** member(second(u),w)* member(first(u),v)* -> . % 299.97/300.36 94226[16:Res:57719.1,1354.0] || -> equal(restrict(image(u,cross_product(v,w)),x),a) member(f24(restrict(image(u,cross_product(v,w)),x)),w)*. % 299.97/300.36 94479[0:Res:1548.1,14041.0] || member(u,image(powerset(v),w)) disjoint(v,x) -> disjoint(first(f22(u,powerset(v),w)),x)*. % 299.97/300.36 94809[0:Res:1548.1,14151.0] || member(u,image(powerset(v),w)) disjoint(v,x) -> disjoint(x,first(f22(u,powerset(v),w)))*. % 299.97/300.36 94825[16:Res:91681.1,3829.0] || equal(complement(u),a) -> equal(infinity,v) member(f1(infinity,v),v)* member(f1(infinity,v),sigma(u))*. % 299.97/300.36 94826[16:Res:91681.1,3811.0] || equal(complement(u),a) -> equal(v,infinity) member(f1(v,infinity),v)* member(f1(v,infinity),sigma(u))*. % 299.97/300.36 95280[16:MRR:95279.1,95279.4,3069.1,55059.0] function(u) little_set(v) || equal(a,u) equal(cross_product(v,v),a)** -> closed(v,u)*. % 299.97/300.36 96123[0:SpR:2390.1,1080.2] little_set(u) || equal(u,non_ordered_pair(f19(singleton_set(v)),f21(singleton_set(v))))* -> single_valued_set(singleton_set(v)) member(u,v)*. % 299.97/300.36 96556[16:Res:55754.3,92502.1] || member(u,v)* equal(first(u),w)* equal(apply(v,w),a)** -> equal(second(u),a). % 299.97/300.36 96769[0:SpR:2405.1,1080.2] little_set(u) || equal(u,non_ordered_pair(f19(singleton_set(v)),f20(singleton_set(v))))* -> single_valued_set(singleton_set(v)) member(u,v)*. % 299.97/300.36 96963[0:Res:21407.1,1009.0] ordered_pair_predicate(u) || subset(powerset(ordered_pair(second(u),first(u))),v)* -> member(ordered_pair(second(u),first(u)),v). % 299.97/300.36 96970[0:Res:21407.1,20288.0] ordered_pair_predicate(set_b) || disjoint(converse(powerset(ordered_pair(second(set_b),first(set_b)))),converse(powerset(ordered_pair(second(set_b),first(set_b)))))* -> . % 299.97/300.36 96972[0:Res:21407.1,20289.0] ordered_pair_predicate(set_a) || disjoint(converse(powerset(ordered_pair(second(set_a),first(set_a)))),converse(powerset(ordered_pair(second(set_a),first(set_a)))))* -> . % 299.97/300.36 97081[3:MRR:96989.0,6173.1] || member(u,sigma(v)) -> member(u,sigma(converse(powerset(ordered_pair(second(f16(u,v)),first(f16(u,v)))))))*. % 299.97/300.36 97082[3:MRR:96988.0,6173.1] || member(u,sigma(v)) disjoint(converse(powerset(ordered_pair(second(f16(u,v)),first(f16(u,v))))),v)* -> . % 299.97/300.36 97531[16:Res:625.1,58999.0] || member(singleton_set(singleton_set(a)),f17(u,complement(powerset(cross_product(set_a,set_b)))))* -> subset(u,complement(powerset(cross_product(set_a,set_b)))). % 299.97/300.36 97532[16:Res:625.1,57812.0] || -> subset(u,complement(powerset(f25))) single_valued_set(f17(u,complement(powerset(f25)))) equal(f19(f17(u,complement(powerset(f25)))),a)**. % 299.97/300.36 97568[0:Obv:97515.0] || -> equal(f17(non_ordered_pair(u,v),complement(powerset(w))),u)** subset(non_ordered_pair(u,v),complement(powerset(w))) subset(v,w). % 299.97/300.36 97569[0:Obv:97514.0] || -> equal(f17(non_ordered_pair(u,v),complement(powerset(w))),v)** subset(non_ordered_pair(u,v),complement(powerset(w))) subset(u,w). % 299.97/300.36 97614[0:Res:286.1,2899.0] || -> subset(intersection(domain_of(singleton_set(u)),v),w) equal(f8(f17(intersection(domain_of(singleton_set(u)),v),w),singleton_set(u)),u)**. % 299.97/300.36 97616[0:Res:285.1,2899.0] || -> disjoint(intersection(domain_of(singleton_set(u)),v),w) equal(f8(f23(intersection(domain_of(singleton_set(u)),v),w),singleton_set(u)),u)**. % 299.97/300.36 97639[16:Res:55073.2,2899.0] little_set(domain_of(singleton_set(u))) || -> equal(domain_of(singleton_set(u)),a) equal(f8(f26(domain_of(singleton_set(u))),singleton_set(u)),u)**. % 299.97/300.36 97651[0:Res:289.1,2899.0] || -> disjoint(u,intersection(domain_of(singleton_set(v)),w)) equal(f8(f23(u,intersection(domain_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.36 97653[0:Res:277.1,2899.0] || -> disjoint(intersection(u,domain_of(singleton_set(v))),w) equal(f8(f23(intersection(u,domain_of(singleton_set(v))),w),singleton_set(v)),v)**. % 299.97/300.36 97656[0:Res:278.1,2899.0] || -> subset(intersection(u,domain_of(singleton_set(v))),w) equal(f8(f17(intersection(u,domain_of(singleton_set(v))),w),singleton_set(v)),v)**. % 299.97/300.36 97663[0:Res:118.1,2899.0] || member(u,apply(domain_of(singleton_set(v)),w)) -> equal(f8(f28(u,domain_of(singleton_set(v)),w),singleton_set(v)),v)**. % 299.97/300.36 97674[16:Res:55151.1,2899.0] || -> equal(cross_product(u,domain_of(singleton_set(v))),a) equal(f8(second(f24(cross_product(u,domain_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.36 97678[16:Res:55061.3,2899.0] little_set(u) || subset(u,domain_of(singleton_set(v))) -> equal(u,a) equal(f8(f26(u),singleton_set(v)),v)**. % 299.97/300.36 97688[0:Res:93.1,2899.0] || member(u,image(v,domain_of(singleton_set(w)))) -> equal(f8(f22(u,v,domain_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.36 97694[0:Res:281.1,2899.0] || -> disjoint(u,intersection(v,domain_of(singleton_set(w)))) equal(f8(f23(u,intersection(v,domain_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.36 97695[0:Res:965.2,2899.0] || member(u,domain_of(v)) subset(v,domain_of(singleton_set(w))) -> equal(f8(f8(u,v),singleton_set(w)),w)**. % 299.97/300.36 97697[0:Res:964.2,2899.0] || member(u,sigma(v)) subset(v,domain_of(singleton_set(w))) -> equal(f8(f16(u,v),singleton_set(w)),w)**. % 299.97/300.36 97699[0:Res:963.2,2899.0] || member(u,range_of(v)) subset(v,domain_of(singleton_set(w))) -> equal(f8(f27(u,v),singleton_set(w)),w)**. % 299.97/300.36 97740[16:Res:55152.1,2899.0] || -> equal(cross_product(domain_of(singleton_set(u)),v),a) equal(f8(first(f24(cross_product(domain_of(singleton_set(u)),v))),singleton_set(u)),u)**. % 299.97/300.36 97827[0:Res:286.1,2938.0] || -> subset(intersection(sigma(singleton_set(u)),v),w) equal(f16(f17(intersection(sigma(singleton_set(u)),v),w),singleton_set(u)),u)**. % 299.97/300.36 97829[0:Res:285.1,2938.0] || -> disjoint(intersection(sigma(singleton_set(u)),v),w) equal(f16(f23(intersection(sigma(singleton_set(u)),v),w),singleton_set(u)),u)**. % 299.97/300.36 97864[0:Res:289.1,2938.0] || -> disjoint(u,intersection(sigma(singleton_set(v)),w)) equal(f16(f23(u,intersection(sigma(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.36 97866[0:Res:277.1,2938.0] || -> disjoint(intersection(u,sigma(singleton_set(v))),w) equal(f16(f23(intersection(u,sigma(singleton_set(v))),w),singleton_set(v)),v)**. % 299.97/300.36 97869[0:Res:278.1,2938.0] || -> subset(intersection(u,sigma(singleton_set(v))),w) equal(f16(f17(intersection(u,sigma(singleton_set(v))),w),singleton_set(v)),v)**. % 299.97/300.36 97876[0:Res:118.1,2938.0] || member(u,apply(sigma(singleton_set(v)),w)) -> equal(f16(f28(u,sigma(singleton_set(v)),w),singleton_set(v)),v)**. % 299.97/300.36 97887[16:Res:55151.1,2938.0] || -> equal(cross_product(u,sigma(singleton_set(v))),a) equal(f16(second(f24(cross_product(u,sigma(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.36 97891[16:Res:55061.3,2938.0] little_set(u) || subset(u,sigma(singleton_set(v))) -> equal(u,a) equal(f16(f26(u),singleton_set(v)),v)**. % 299.97/300.36 97901[0:Res:93.1,2938.0] || member(u,image(v,sigma(singleton_set(w)))) -> equal(f16(f22(u,v,sigma(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.36 97907[0:Res:281.1,2938.0] || -> disjoint(u,intersection(v,sigma(singleton_set(w)))) equal(f16(f23(u,intersection(v,sigma(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.36 97908[0:Res:965.2,2938.0] || member(u,domain_of(v)) subset(v,sigma(singleton_set(w))) -> equal(f16(f8(u,v),singleton_set(w)),w)**. % 299.97/300.36 97910[0:Res:964.2,2938.0] || member(u,sigma(v)) subset(v,sigma(singleton_set(w))) -> equal(f16(f16(u,v),singleton_set(w)),w)**. % 299.97/300.36 97912[0:Res:963.2,2938.0] || member(u,range_of(v)) subset(v,sigma(singleton_set(w))) -> equal(f16(f27(u,v),singleton_set(w)),w)**. % 299.97/300.36 97953[16:Res:55152.1,2938.0] || -> equal(cross_product(sigma(singleton_set(u)),v),a) equal(f16(first(f24(cross_product(sigma(singleton_set(u)),v))),singleton_set(u)),u)**. % 299.97/300.36 98070[0:Res:286.1,2959.0] || -> subset(intersection(range_of(singleton_set(u)),v),w) equal(f27(f17(intersection(range_of(singleton_set(u)),v),w),singleton_set(u)),u)**. % 299.97/300.36 98072[0:Res:285.1,2959.0] || -> disjoint(intersection(range_of(singleton_set(u)),v),w) equal(f27(f23(intersection(range_of(singleton_set(u)),v),w),singleton_set(u)),u)**. % 299.97/300.36 98095[16:Res:55073.2,2959.0] little_set(range_of(singleton_set(u))) || -> equal(range_of(singleton_set(u)),a) equal(f27(f26(range_of(singleton_set(u))),singleton_set(u)),u)**. % 299.97/300.36 98107[0:Res:289.1,2959.0] || -> disjoint(u,intersection(range_of(singleton_set(v)),w)) equal(f27(f23(u,intersection(range_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.36 98109[0:Res:277.1,2959.0] || -> disjoint(intersection(u,range_of(singleton_set(v))),w) equal(f27(f23(intersection(u,range_of(singleton_set(v))),w),singleton_set(v)),v)**. % 299.97/300.36 98112[0:Res:278.1,2959.0] || -> subset(intersection(u,range_of(singleton_set(v))),w) equal(f27(f17(intersection(u,range_of(singleton_set(v))),w),singleton_set(v)),v)**. % 299.97/300.36 98119[0:Res:118.1,2959.0] || member(u,apply(range_of(singleton_set(v)),w)) -> equal(f27(f28(u,range_of(singleton_set(v)),w),singleton_set(v)),v)**. % 299.97/300.36 98130[16:Res:55151.1,2959.0] || -> equal(cross_product(u,range_of(singleton_set(v))),a) equal(f27(second(f24(cross_product(u,range_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.36 98134[16:Res:55061.3,2959.0] little_set(u) || subset(u,range_of(singleton_set(v))) -> equal(u,a) equal(f27(f26(u),singleton_set(v)),v)**. % 299.97/300.36 98144[0:Res:93.1,2959.0] || member(u,image(v,range_of(singleton_set(w)))) -> equal(f27(f22(u,v,range_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.36 98150[0:Res:281.1,2959.0] || -> disjoint(u,intersection(v,range_of(singleton_set(w)))) equal(f27(f23(u,intersection(v,range_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.36 98151[0:Res:965.2,2959.0] || member(u,domain_of(v)) subset(v,range_of(singleton_set(w))) -> equal(f27(f8(u,v),singleton_set(w)),w)**. % 299.97/300.36 98153[0:Res:964.2,2959.0] || member(u,sigma(v)) subset(v,range_of(singleton_set(w))) -> equal(f27(f16(u,v),singleton_set(w)),w)**. % 299.97/300.36 98155[0:Res:963.2,2959.0] || member(u,range_of(v)) subset(v,range_of(singleton_set(w))) -> equal(f27(f27(u,v),singleton_set(w)),w)**. % 299.97/300.36 98196[16:Res:55152.1,2959.0] || -> equal(cross_product(range_of(singleton_set(u)),v),a) equal(f27(first(f24(cross_product(range_of(singleton_set(u)),v))),singleton_set(u)),u)**. % 299.97/300.36 98382[0:Res:8090.0,43745.1] || member(f17(complement(complement(flip_range_of(complement(flip_range_of(u))))),v),u)* -> subset(complement(complement(flip_range_of(complement(flip_range_of(u))))),v). % 299.97/300.36 98387[0:Res:8090.0,4238.0] || equal(u,f17(complement(complement(compose(v,w))),x))* -> subset(complement(complement(compose(v,w))),x) ordered_pair_predicate(u)*. % 299.97/300.36 98407[0:Res:8090.0,2899.0] || -> subset(complement(complement(domain_of(singleton_set(u)))),v) equal(f8(f17(complement(complement(domain_of(singleton_set(u)))),v),singleton_set(u)),u)**. % 299.97/300.36 98410[0:Res:8090.0,2959.0] || -> subset(complement(complement(range_of(singleton_set(u)))),v) equal(f27(f17(complement(complement(range_of(singleton_set(u)))),v),singleton_set(u)),u)**. % 299.97/300.36 98415[0:Res:8090.0,19263.0] || -> subset(complement(complement(sigma(intersection(u,v)))),w) member(f17(complement(complement(sigma(intersection(u,v)))),w),sigma(v))*. % 299.97/300.36 98416[0:Res:8090.0,19261.0] || -> subset(complement(complement(sigma(intersection(u,v)))),w) member(f17(complement(complement(sigma(intersection(u,v)))),w),sigma(u))*. % 299.97/300.36 98441[0:Res:8090.0,2938.0] || -> subset(complement(complement(sigma(singleton_set(u)))),v) equal(f16(f17(complement(complement(sigma(singleton_set(u)))),v),singleton_set(u)),u)**. % 299.97/300.36 98498[0:Res:9082.0,43745.1] || member(f23(u,complement(complement(flip_range_of(complement(flip_range_of(v)))))),v)* -> disjoint(u,complement(complement(flip_range_of(complement(flip_range_of(v)))))). % 299.97/300.36 98503[0:Res:9082.0,4238.0] || equal(u,f23(v,complement(complement(compose(w,x)))))* -> disjoint(v,complement(complement(compose(w,x)))) ordered_pair_predicate(u)*. % 299.97/300.36 98523[0:Res:9082.0,2899.0] || -> disjoint(u,complement(complement(domain_of(singleton_set(v))))) equal(f8(f23(u,complement(complement(domain_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.36 98526[0:Res:9082.0,2959.0] || -> disjoint(u,complement(complement(range_of(singleton_set(v))))) equal(f27(f23(u,complement(complement(range_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.36 98531[0:Res:9082.0,19263.0] || -> disjoint(u,complement(complement(sigma(intersection(v,w))))) member(f23(u,complement(complement(sigma(intersection(v,w))))),sigma(w))*. % 299.97/300.36 98532[0:Res:9082.0,19261.0] || -> disjoint(u,complement(complement(sigma(intersection(v,w))))) member(f23(u,complement(complement(sigma(intersection(v,w))))),sigma(v))*. % 299.97/300.36 98557[0:Res:9082.0,2938.0] || -> disjoint(u,complement(complement(sigma(singleton_set(v))))) equal(f16(f23(u,complement(complement(sigma(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.36 98580[0:Obv:98482.0] || -> equal(f23(non_ordered_pair(u,v),complement(complement(w))),u)** member(v,w) disjoint(non_ordered_pair(u,v),complement(complement(w))). % 299.97/300.36 98581[0:Obv:98481.0] || -> equal(f23(non_ordered_pair(u,v),complement(complement(w))),v)** member(u,w) disjoint(non_ordered_pair(u,v),complement(complement(w))). % 299.97/300.36 98688[0:Res:9151.0,43745.1] || member(f23(complement(complement(flip_range_of(complement(flip_range_of(u))))),v),u)* -> disjoint(complement(complement(flip_range_of(complement(flip_range_of(u))))),v). % 299.97/300.36 98693[0:Res:9151.0,4238.0] || equal(u,f23(complement(complement(compose(v,w))),x))* -> disjoint(complement(complement(compose(v,w))),x) ordered_pair_predicate(u)*. % 299.97/300.36 98713[0:Res:9151.0,2899.0] || -> disjoint(complement(complement(domain_of(singleton_set(u)))),v) equal(f8(f23(complement(complement(domain_of(singleton_set(u)))),v),singleton_set(u)),u)**. % 299.97/300.36 98716[0:Res:9151.0,2959.0] || -> disjoint(complement(complement(range_of(singleton_set(u)))),v) equal(f27(f23(complement(complement(range_of(singleton_set(u)))),v),singleton_set(u)),u)**. % 299.97/300.36 98721[0:Res:9151.0,19263.0] || -> disjoint(complement(complement(sigma(intersection(u,v)))),w) member(f23(complement(complement(sigma(intersection(u,v)))),w),sigma(v))*. % 299.97/300.36 98722[0:Res:9151.0,19261.0] || -> disjoint(complement(complement(sigma(intersection(u,v)))),w) member(f23(complement(complement(sigma(intersection(u,v)))),w),sigma(u))*. % 299.97/300.36 98747[0:Res:9151.0,2938.0] || -> disjoint(complement(complement(sigma(singleton_set(u)))),v) equal(f16(f23(complement(complement(sigma(singleton_set(u)))),v),singleton_set(u)),u)**. % 299.97/300.36 98770[0:Obv:98671.0] || -> equal(f23(complement(complement(u)),non_ordered_pair(v,w)),v)** member(w,u) disjoint(complement(complement(u)),non_ordered_pair(v,w)). % 299.97/300.36 98771[0:Obv:98670.0] || -> equal(f23(complement(complement(u)),non_ordered_pair(v,w)),w)** member(v,u) disjoint(complement(complement(u)),non_ordered_pair(v,w)). % 299.97/300.36 98855[16:Res:98045.1,3652.3] || disjoint(set_b,intersection(u,v))* member(w,v)* member(w,u)* member(w,powerset(a))* -> . % 299.97/300.36 98872[16:Res:98045.1,1561.2] || disjoint(set_b,second(f28(u,v,w)))* member(u,apply(v,w)) member(u,powerset(a)) -> . % 299.97/300.36 99286[0:Res:18201.1,1009.0] ordered_pair_predicate(u) || subset(complement(v),w)* -> member(u,converse(v))* member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.36 99462[3:SSi:99386.0,5742.0,11.1] little_set(u) || equal(u,v)* -> member(non_ordered_pair(v,w),converse(x))* member(u,sigma(converse(complement(x))))*. % 299.97/300.36 99463[3:SSi:99385.0,5742.0,11.1] little_set(u) || equal(u,v)* -> member(non_ordered_pair(w,v),converse(x))* member(u,sigma(converse(complement(x))))*. % 299.97/300.36 99465[0:MRR:99384.0,117.1] || member(u,apply(v,w)) disjoint(converse(complement(x)),v) -> member(f28(u,v,w),converse(x))*. % 299.97/300.36 99466[0:MRR:99382.0,92.1] || member(u,image(v,w)) disjoint(converse(complement(x)),w) -> member(f22(u,v,w),converse(x))*. % 299.97/300.36 99467[16:SSi:99376.0,5742.0,371.1] little_set(u) || disjoint(converse(complement(v)),f25) -> member(ordered_pair(u,f26(u)),converse(v))* equal(u,a). % 299.97/300.36 99473[3:SSi:99368.0,5742.0,371.1] || member(u,converse(v))* disjoint(converse(complement(w)),v)* -> member(ordered_pair(second(u),first(u)),converse(w))*. % 299.97/300.36 99476[0:MRR:99331.0,92.1] || member(u,image(v,complement(converse(complement(w))))) -> member(f22(u,v,complement(converse(complement(w)))),converse(w))*. % 299.97/300.36 99478[0:MRR:99321.0,117.1] || member(u,apply(complement(converse(complement(v))),w)) -> member(f28(u,complement(converse(complement(v))),w),converse(v))*. % 299.97/300.36 99491[3:SSi:99375.0,5742.0,371.1] || -> member(ordered_pair(f19(complement(converse(complement(u)))),f20(complement(converse(complement(u))))),converse(u))* single_valued_set(complement(converse(complement(u)))). % 299.97/300.36 99492[3:SSi:99374.0,5742.0,371.1] || -> member(ordered_pair(f19(complement(converse(complement(u)))),f21(complement(converse(complement(u))))),converse(u))* single_valued_set(complement(converse(complement(u)))). % 299.97/300.36 99630[0:Res:22366.2,492.1] ordered_pair_predicate(u) || member(f8(v,complement(first(u))),f2(u))* member(v,domain_of(complement(first(u)))) -> . % 299.97/300.36 99631[0:Res:22366.2,454.1] ordered_pair_predicate(u) || member(f16(v,complement(first(u))),f2(u))* member(v,sigma(complement(first(u)))) -> . % 299.97/300.36 99632[0:Res:22366.2,425.1] ordered_pair_predicate(u) || member(f27(v,complement(first(u))),f2(u))* member(v,range_of(complement(first(u)))) -> . % 299.97/300.36 99662[0:Res:22366.2,1019.1] ordered_pair_predicate(u) || member(ordered_pair(second(v),first(v)),f2(u))* member(v,converse(complement(first(u)))) -> . % 299.97/300.36 99667[0:Res:22366.2,1215.0] ordered_pair_predicate(u) || member(ordered_pair(f19(v),f21(v)),f2(u))* disjoint(first(u),v) -> single_valued_set(v). % 299.97/300.36 99668[0:Res:22366.2,1216.0] ordered_pair_predicate(u) || member(ordered_pair(f19(v),f20(v)),f2(u))* disjoint(first(u),v) -> single_valued_set(v). % 299.97/300.36 99824[0:Res:22612.2,492.1] ordered_pair_predicate(u) || member(f8(v,complement(second(u))),f3(u))* member(v,domain_of(complement(second(u)))) -> . % 299.97/300.36 99825[0:Res:22612.2,454.1] ordered_pair_predicate(u) || member(f16(v,complement(second(u))),f3(u))* member(v,sigma(complement(second(u)))) -> . % 299.97/300.36 99826[0:Res:22612.2,425.1] ordered_pair_predicate(u) || member(f27(v,complement(second(u))),f3(u))* member(v,range_of(complement(second(u)))) -> . % 299.97/300.36 99856[0:Res:22612.2,1019.1] ordered_pair_predicate(u) || member(ordered_pair(second(v),first(v)),f3(u))* member(v,converse(complement(second(u)))) -> . % 299.97/300.36 99861[0:Res:22612.2,1215.0] ordered_pair_predicate(u) || member(ordered_pair(f19(v),f21(v)),f3(u))* disjoint(second(u),v) -> single_valued_set(v). % 299.97/300.36 99862[0:Res:22612.2,1216.0] ordered_pair_predicate(u) || member(ordered_pair(f19(v),f20(v)),f3(u))* disjoint(second(u),v) -> single_valued_set(v). % 299.97/300.36 99938[3:MRR:99887.0,6160.1] || member(u,f3(v))* member(v,w)* equal(first(v),x)* -> member(u,apply(w,x))*. % 299.97/300.36 99996[16:Res:59019.2,8.0] || subset(u,non_ordered_pair(v,w))* -> equal(u,a) equal(f1(u,a),w) equal(f1(u,a),v). % 299.97/300.36 100018[16:Res:59019.2,644.1] || subset(u,second(f8(f1(u,a),v)))* member(f1(u,a),domain_of(v)) -> equal(u,a). % 299.97/300.36 100021[16:Res:59019.2,314.0] || subset(u,intersection(complement(v),complement(w)))* member(f1(u,a),union(v,w)) -> equal(u,a). % 299.97/300.36 100609[16:Res:59021.2,8.0] || subset(u,non_ordered_pair(v,w))* -> equal(a,u) equal(f1(a,u),w) equal(f1(a,u),v). % 299.97/300.36 100631[16:Res:59021.2,644.1] || subset(u,second(f8(f1(a,u),v)))* member(f1(a,u),domain_of(v)) -> equal(a,u). % 299.97/300.36 100634[16:Res:59021.2,314.0] || subset(u,intersection(complement(v),complement(w)))* member(f1(a,u),union(v,w)) -> equal(a,u). % 299.97/300.36 100761[16:Res:59048.1,43745.1] || member(f1(intersection(flip_range_of(complement(flip_range_of(u))),v),a),u)* -> equal(intersection(flip_range_of(complement(flip_range_of(u))),v),a). % 299.97/300.36 100766[16:Res:59048.1,4238.0] || equal(u,f1(intersection(compose(v,w),x),a))* -> equal(intersection(compose(v,w),x),a) ordered_pair_predicate(u)*. % 299.97/300.36 100786[16:Res:59048.1,2899.0] || -> equal(intersection(domain_of(singleton_set(u)),v),a) equal(f8(f1(intersection(domain_of(singleton_set(u)),v),a),singleton_set(u)),u)**. % 299.97/300.36 100789[16:Res:59048.1,2959.0] || -> equal(intersection(range_of(singleton_set(u)),v),a) equal(f27(f1(intersection(range_of(singleton_set(u)),v),a),singleton_set(u)),u)**. % 299.97/300.36 100794[16:Res:59048.1,19263.0] || -> equal(intersection(sigma(intersection(u,v)),w),a) member(f1(intersection(sigma(intersection(u,v)),w),a),sigma(v))*. % 299.97/300.36 100795[16:Res:59048.1,19261.0] || -> equal(intersection(sigma(intersection(u,v)),w),a) member(f1(intersection(sigma(intersection(u,v)),w),a),sigma(u))*. % 299.97/300.36 100820[16:Res:59048.1,2938.0] || -> equal(intersection(sigma(singleton_set(u)),v),a) equal(f16(f1(intersection(sigma(singleton_set(u)),v),a),singleton_set(u)),u)**. % 299.97/300.36 100878[16:Res:59049.1,43745.1] || member(f1(intersection(u,flip_range_of(complement(flip_range_of(v)))),a),v)* -> equal(intersection(u,flip_range_of(complement(flip_range_of(v)))),a). % 299.97/300.36 100883[16:Res:59049.1,4238.0] || equal(u,f1(intersection(v,compose(w,x)),a))* -> equal(intersection(v,compose(w,x)),a) ordered_pair_predicate(u)*. % 299.97/300.36 100903[16:Res:59049.1,2899.0] || -> equal(intersection(u,domain_of(singleton_set(v))),a) equal(f8(f1(intersection(u,domain_of(singleton_set(v))),a),singleton_set(v)),v)**. % 299.97/300.36 100906[16:Res:59049.1,2959.0] || -> equal(intersection(u,range_of(singleton_set(v))),a) equal(f27(f1(intersection(u,range_of(singleton_set(v))),a),singleton_set(v)),v)**. % 299.97/300.36 100911[16:Res:59049.1,19263.0] || -> equal(intersection(u,sigma(intersection(v,w))),a) member(f1(intersection(u,sigma(intersection(v,w))),a),sigma(w))*. % 299.97/300.36 100912[16:Res:59049.1,19261.0] || -> equal(intersection(u,sigma(intersection(v,w))),a) member(f1(intersection(u,sigma(intersection(v,w))),a),sigma(v))*. % 299.97/300.36 100937[16:Res:59049.1,2938.0] || -> equal(intersection(u,sigma(singleton_set(v))),a) equal(f16(f1(intersection(u,sigma(singleton_set(v))),a),singleton_set(v)),v)**. % 299.97/300.36 100979[16:Res:59050.1,43745.1] || member(f1(a,intersection(flip_range_of(complement(flip_range_of(u))),v)),u)* -> equal(intersection(flip_range_of(complement(flip_range_of(u))),v),a). % 299.97/300.36 100984[16:Res:59050.1,4238.0] || equal(u,f1(a,intersection(compose(v,w),x)))* -> equal(intersection(compose(v,w),x),a) ordered_pair_predicate(u)*. % 299.97/300.36 101004[16:Res:59050.1,2899.0] || -> equal(intersection(domain_of(singleton_set(u)),v),a) equal(f8(f1(a,intersection(domain_of(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 101007[16:Res:59050.1,2959.0] || -> equal(intersection(range_of(singleton_set(u)),v),a) equal(f27(f1(a,intersection(range_of(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 101012[16:Res:59050.1,19263.0] || -> equal(intersection(sigma(intersection(u,v)),w),a) member(f1(a,intersection(sigma(intersection(u,v)),w)),sigma(v))*. % 299.97/300.36 101013[16:Res:59050.1,19261.0] || -> equal(intersection(sigma(intersection(u,v)),w),a) member(f1(a,intersection(sigma(intersection(u,v)),w)),sigma(u))*. % 299.97/300.36 101038[16:Res:59050.1,2938.0] || -> equal(intersection(sigma(singleton_set(u)),v),a) equal(f16(f1(a,intersection(sigma(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 101118[16:Res:59051.1,43745.1] || member(f1(a,intersection(u,flip_range_of(complement(flip_range_of(v))))),v)* -> equal(intersection(u,flip_range_of(complement(flip_range_of(v)))),a). % 299.97/300.36 101123[16:Res:59051.1,4238.0] || equal(u,f1(a,intersection(v,compose(w,x))))* -> equal(intersection(v,compose(w,x)),a) ordered_pair_predicate(u)*. % 299.97/300.36 101143[16:Res:59051.1,2899.0] || -> equal(intersection(u,domain_of(singleton_set(v))),a) equal(f8(f1(a,intersection(u,domain_of(singleton_set(v)))),singleton_set(v)),v)**. % 299.97/300.36 101146[16:Res:59051.1,2959.0] || -> equal(intersection(u,range_of(singleton_set(v))),a) equal(f27(f1(a,intersection(u,range_of(singleton_set(v)))),singleton_set(v)),v)**. % 299.97/300.36 101151[16:Res:59051.1,19263.0] || -> equal(intersection(u,sigma(intersection(v,w))),a) member(f1(a,intersection(u,sigma(intersection(v,w)))),sigma(w))*. % 299.97/300.36 101152[16:Res:59051.1,19261.0] || -> equal(intersection(u,sigma(intersection(v,w))),a) member(f1(a,intersection(u,sigma(intersection(v,w)))),sigma(v))*. % 299.97/300.36 101177[16:Res:59051.1,2938.0] || -> equal(intersection(u,sigma(singleton_set(v))),a) equal(f16(f1(a,intersection(u,sigma(singleton_set(v)))),singleton_set(v)),v)**. % 299.97/300.36 101235[16:Res:100563.1,3652.3] || disjoint(set_a,intersection(u,v))* member(w,v)* member(w,u)* member(w,powerset(a))* -> . % 299.97/300.36 101252[16:Res:100563.1,1561.2] || disjoint(set_a,second(f28(u,v,w)))* member(u,apply(v,w)) member(u,powerset(a)) -> . % 299.97/300.36 101312[16:Res:59052.1,43745.1] || member(f1(restrict(flip_range_of(complement(flip_range_of(u))),v),a),u)* -> equal(restrict(flip_range_of(complement(flip_range_of(u))),v),a). % 299.97/300.36 101317[16:Res:59052.1,4238.0] || equal(u,f1(restrict(compose(v,w),x),a))* -> equal(restrict(compose(v,w),x),a) ordered_pair_predicate(u)*. % 299.97/300.36 101337[16:Res:59052.1,2899.0] || -> equal(restrict(domain_of(singleton_set(u)),v),a) equal(f8(f1(restrict(domain_of(singleton_set(u)),v),a),singleton_set(u)),u)**. % 299.97/300.36 101340[16:Res:59052.1,2959.0] || -> equal(restrict(range_of(singleton_set(u)),v),a) equal(f27(f1(restrict(range_of(singleton_set(u)),v),a),singleton_set(u)),u)**. % 299.97/300.36 101345[16:Res:59052.1,19263.0] || -> equal(restrict(sigma(intersection(u,v)),w),a) member(f1(restrict(sigma(intersection(u,v)),w),a),sigma(v))*. % 299.97/300.36 101346[16:Res:59052.1,19261.0] || -> equal(restrict(sigma(intersection(u,v)),w),a) member(f1(restrict(sigma(intersection(u,v)),w),a),sigma(u))*. % 299.97/300.36 101371[16:Res:59052.1,2938.0] || -> equal(restrict(sigma(singleton_set(u)),v),a) equal(f16(f1(restrict(sigma(singleton_set(u)),v),a),singleton_set(u)),u)**. % 299.97/300.36 101572[16:Res:59053.1,43745.1] || member(f1(a,restrict(flip_range_of(complement(flip_range_of(u))),v)),u)* -> equal(restrict(flip_range_of(complement(flip_range_of(u))),v),a). % 299.97/300.36 101577[16:Res:59053.1,4238.0] || equal(u,f1(a,restrict(compose(v,w),x)))* -> equal(restrict(compose(v,w),x),a) ordered_pair_predicate(u)*. % 299.97/300.36 101597[16:Res:59053.1,2899.0] || -> equal(restrict(domain_of(singleton_set(u)),v),a) equal(f8(f1(a,restrict(domain_of(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 101600[16:Res:59053.1,2959.0] || -> equal(restrict(range_of(singleton_set(u)),v),a) equal(f27(f1(a,restrict(range_of(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 101605[16:Res:59053.1,19263.0] || -> equal(restrict(sigma(intersection(u,v)),w),a) member(f1(a,restrict(sigma(intersection(u,v)),w)),sigma(v))*. % 299.97/300.36 101606[16:Res:59053.1,19261.0] || -> equal(restrict(sigma(intersection(u,v)),w),a) member(f1(a,restrict(sigma(intersection(u,v)),w)),sigma(u))*. % 299.97/300.36 101630[16:Res:59053.1,2938.0] || -> equal(restrict(sigma(singleton_set(u)),v),a) equal(f16(f1(a,restrict(sigma(singleton_set(u)),v)),singleton_set(u)),u)**. % 299.97/300.36 101842[0:Res:3813.2,43745.1] || disjoint(u,universal_set) member(f1(flip_range_of(complement(flip_range_of(v))),u),v)* -> equal(flip_range_of(complement(flip_range_of(v))),u). % 299.97/300.36 101847[0:Res:3813.2,4238.0] || disjoint(u,universal_set) equal(v,f1(compose(w,x),u))* -> equal(compose(w,x),u) ordered_pair_predicate(v)*. % 299.97/300.36 101867[0:Res:3813.2,2899.0] || disjoint(u,universal_set) -> equal(domain_of(singleton_set(v)),u) equal(f8(f1(domain_of(singleton_set(v)),u),singleton_set(v)),v)**. % 299.97/300.36 101870[0:Res:3813.2,2959.0] || disjoint(u,universal_set) -> equal(range_of(singleton_set(v)),u) equal(f27(f1(range_of(singleton_set(v)),u),singleton_set(v)),v)**. % 299.97/300.36 101875[0:Res:3813.2,19263.0] || disjoint(u,universal_set) -> equal(sigma(intersection(v,w)),u) member(f1(sigma(intersection(v,w)),u),sigma(w))*. % 299.97/300.36 101876[0:Res:3813.2,19261.0] || disjoint(u,universal_set) -> equal(sigma(intersection(v,w)),u) member(f1(sigma(intersection(v,w)),u),sigma(v))*. % 299.97/300.36 101908[0:Res:3813.2,2938.0] || disjoint(u,universal_set) -> equal(sigma(singleton_set(v)),u) equal(f16(f1(sigma(singleton_set(v)),u),singleton_set(v)),v)**. % 299.97/300.36 101922[0:Obv:101889.2] || disjoint(non_ordered_pair(u,v),universal_set) equal(f1(w,non_ordered_pair(u,v)),v)** -> equal(w,non_ordered_pair(u,v)). % 299.97/300.36 101923[0:Obv:101888.2] || disjoint(non_ordered_pair(u,v),universal_set) equal(f1(w,non_ordered_pair(u,v)),u)** -> equal(w,non_ordered_pair(u,v)). % 299.97/300.36 101976[0:Res:3831.2,43745.1] || disjoint(u,universal_set) member(f1(u,flip_range_of(complement(flip_range_of(v)))),v)* -> equal(u,flip_range_of(complement(flip_range_of(v)))). % 299.97/300.36 101981[0:Res:3831.2,4238.0] || disjoint(u,universal_set) equal(v,f1(u,compose(w,x)))* -> equal(u,compose(w,x)) ordered_pair_predicate(v)*. % 299.97/300.36 102001[0:Res:3831.2,2899.0] || disjoint(u,universal_set) -> equal(u,domain_of(singleton_set(v))) equal(f8(f1(u,domain_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.36 102004[0:Res:3831.2,2959.0] || disjoint(u,universal_set) -> equal(u,range_of(singleton_set(v))) equal(f27(f1(u,range_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.36 102009[0:Res:3831.2,19263.0] || disjoint(u,universal_set) -> equal(u,sigma(intersection(v,w))) member(f1(u,sigma(intersection(v,w))),sigma(w))*. % 299.97/300.36 102010[0:Res:3831.2,19261.0] || disjoint(u,universal_set) -> equal(u,sigma(intersection(v,w))) member(f1(u,sigma(intersection(v,w))),sigma(v))*. % 299.97/300.36 102041[0:Res:3831.2,2938.0] || disjoint(u,universal_set) -> equal(u,sigma(singleton_set(v))) equal(f16(f1(u,sigma(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.36 102124[3:Obv:102113.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),w)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) ordered_pair_predicate(second(x)). % 299.97/300.36 102125[3:Obv:102112.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),x)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) ordered_pair_predicate(second(w)). % 299.97/300.36 102199[0:Obv:102188.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),w)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) little_set(second(x)). % 299.97/300.36 102200[0:Obv:102187.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),x)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) little_set(second(w)). % 299.97/300.36 102263[3:Obv:102253.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),u)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) ordered_pair_predicate(second(v)). % 299.97/300.36 102264[3:Obv:102252.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),v)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) ordered_pair_predicate(second(u)). % 299.97/300.36 102316[0:Obv:102306.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),u)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) little_set(second(v)). % 299.97/300.36 102317[0:Obv:102305.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),v)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) little_set(second(u)). % 299.97/300.36 102345[3:Obv:102334.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),w)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) ordered_pair_predicate(first(x)). % 299.97/300.36 102346[3:Obv:102333.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),x)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) ordered_pair_predicate(first(w)). % 299.97/300.36 102429[16:Res:102160.1,3652.3] || disjoint(infinity,intersection(u,v))* member(w,v)* member(w,u)* member(w,powerset(a))* -> . % 299.97/300.36 102446[16:Res:102160.1,1561.2] || disjoint(infinity,second(f28(u,v,w)))* member(u,apply(v,w)) member(u,powerset(a)) -> . % 299.97/300.36 102473[0:Obv:102462.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),w)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) little_set(first(x)). % 299.97/300.36 102474[0:Obv:102461.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),x)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) little_set(first(w)). % 299.97/300.36 102691[3:Obv:102681.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),u)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) ordered_pair_predicate(first(v)). % 299.97/300.36 102692[3:Obv:102680.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),v)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) ordered_pair_predicate(first(u)). % 299.97/300.36 102754[0:Obv:102744.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),u)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) little_set(first(v)). % 299.97/300.36 102755[0:Obv:102743.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),v)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) little_set(first(u)). % 299.97/300.36 103603[16:Res:55061.3,16184.0] little_set(u) || subset(u,domain_of(intersection(cross_product(v,w),x)))* -> equal(u,a) member(f26(u),v). % 299.97/300.36 103620[0:Res:965.2,16184.0] || member(u,domain_of(v)) subset(v,domain_of(intersection(cross_product(w,x),y)))* -> member(f8(u,v),w)*. % 299.97/300.36 103622[0:Res:964.2,16184.0] || member(u,sigma(v)) subset(v,domain_of(intersection(cross_product(w,x),y)))* -> member(f16(u,v),w)*. % 299.97/300.36 103624[0:Res:963.2,16184.0] || member(u,range_of(v)) subset(v,domain_of(intersection(cross_product(w,x),y)))* -> member(f27(u,v),w)*. % 299.97/300.36 103845[16:Res:55061.3,16416.0] little_set(u) || subset(u,domain_of(intersection(v,cross_product(w,x))))* -> equal(u,a) member(f26(u),w). % 299.97/300.36 103862[0:Res:965.2,16416.0] || member(u,domain_of(v)) subset(v,domain_of(intersection(w,cross_product(x,y))))* -> member(f8(u,v),x)*. % 299.97/300.36 103864[0:Res:964.2,16416.0] || member(u,sigma(v)) subset(v,domain_of(intersection(w,cross_product(x,y))))* -> member(f16(u,v),x)*. % 299.97/300.36 103866[0:Res:963.2,16416.0] || member(u,range_of(v)) subset(v,domain_of(intersection(w,cross_product(x,y))))* -> member(f27(u,v),x)*. % 299.97/300.36 104090[16:Res:55061.3,17439.0] little_set(u) || subset(u,range_of(intersection(cross_product(v,w),x)))* -> equal(u,a) member(f26(u),w). % 299.97/300.36 104107[0:Res:965.2,17439.0] || member(u,domain_of(v)) subset(v,range_of(intersection(cross_product(w,x),y)))* -> member(f8(u,v),x)*. % 299.97/300.36 104109[0:Res:964.2,17439.0] || member(u,sigma(v)) subset(v,range_of(intersection(cross_product(w,x),y)))* -> member(f16(u,v),x)*. % 299.97/300.36 104111[0:Res:963.2,17439.0] || member(u,range_of(v)) subset(v,range_of(intersection(cross_product(w,x),y)))* -> member(f27(u,v),x)*. % 299.97/300.36 104367[16:Res:55061.3,17546.0] little_set(u) || subset(u,range_of(intersection(v,cross_product(w,x))))* -> equal(u,a) member(f26(u),x). % 299.97/300.36 104384[0:Res:965.2,17546.0] || member(u,domain_of(v)) subset(v,range_of(intersection(w,cross_product(x,y))))* -> member(f8(u,v),y)*. % 299.97/300.36 104386[0:Res:964.2,17546.0] || member(u,sigma(v)) subset(v,range_of(intersection(w,cross_product(x,y))))* -> member(f16(u,v),y)*. % 299.97/300.36 104388[0:Res:963.2,17546.0] || member(u,range_of(v)) subset(v,range_of(intersection(w,cross_product(x,y))))* -> member(f27(u,v),y)*. % 299.97/300.36 104730[0:SSi:104659.0,11.0] little_set(u) || equal(u,v)* -> member(non_ordered_pair(v,w),complement(x))* member(u,sigma(union(x,y)))*. % 299.97/300.36 104731[0:SSi:104658.0,11.0] little_set(u) || equal(u,v)* -> member(non_ordered_pair(w,v),complement(x))* member(u,sigma(union(x,y)))*. % 299.97/300.36 104733[0:MRR:104657.0,1275.1] || member(u,apply(v,w)) disjoint(union(x,y),v)* -> member(f28(u,v,w),complement(x))*. % 299.97/300.36 104734[0:MRR:104655.0,1340.1] || member(u,image(v,w)) disjoint(union(x,y),w)* -> member(f22(u,v,w),complement(x))*. % 299.97/300.36 104735[16:SSi:104649.0,371.0] little_set(u) || disjoint(union(v,w),f25)* -> member(ordered_pair(u,f26(u)),complement(v))* equal(u,a). % 299.97/300.36 104741[0:SSi:104641.0,371.0] || member(u,converse(v))* disjoint(union(w,x),v)* -> member(ordered_pair(second(u),first(u)),complement(w))*. % 299.97/300.36 104744[0:MRR:104604.0,1340.1] || member(u,image(v,complement(union(w,x)))) -> member(f22(u,v,complement(union(w,x))),complement(w))*. % 299.97/300.36 104746[0:MRR:104594.0,1275.1] || member(u,apply(complement(union(v,w)),x)) -> member(f28(u,complement(union(v,w)),x),complement(v))*. % 299.97/300.36 104759[0:SSi:104648.0,371.0] || -> member(ordered_pair(f19(complement(union(u,v))),f20(complement(union(u,v)))),complement(u))* single_valued_set(complement(union(u,v))). % 299.97/300.36 104760[0:SSi:104647.0,371.0] || -> member(ordered_pair(f19(complement(union(u,v))),f21(complement(union(u,v)))),complement(u))* single_valued_set(complement(union(u,v))). % 299.97/300.36 105076[0:SSi:105003.0,11.0] little_set(u) || equal(u,v)* -> member(non_ordered_pair(v,w),complement(x))* member(u,sigma(union(y,x)))*. % 299.97/300.36 105077[0:SSi:105002.0,11.0] little_set(u) || equal(u,v)* -> member(non_ordered_pair(w,v),complement(x))* member(u,sigma(union(y,x)))*. % 299.97/300.36 105079[0:MRR:105001.0,1275.1] || member(u,apply(v,w)) disjoint(union(x,y),v)* -> member(f28(u,v,w),complement(y))*. % 299.97/300.36 105080[0:MRR:104999.0,1340.1] || member(u,image(v,w)) disjoint(union(x,y),w)* -> member(f22(u,v,w),complement(y))*. % 299.97/300.36 105081[16:SSi:104993.0,371.0] little_set(u) || disjoint(union(v,w),f25)* -> member(ordered_pair(u,f26(u)),complement(w))* equal(u,a). % 299.97/300.36 105087[0:SSi:104985.0,371.0] || member(u,converse(v))* disjoint(union(w,x),v)* -> member(ordered_pair(second(u),first(u)),complement(x))*. % 299.97/300.36 105090[0:MRR:104948.0,1340.1] || member(u,image(v,complement(union(w,x)))) -> member(f22(u,v,complement(union(w,x))),complement(x))*. % 299.97/300.36 105092[0:MRR:104938.0,1275.1] || member(u,apply(complement(union(v,w)),x)) -> member(f28(u,complement(union(v,w)),x),complement(w))*. % 299.97/300.36 105105[0:SSi:104992.0,371.0] || -> member(ordered_pair(f19(complement(union(u,v))),f20(complement(union(u,v)))),complement(v))* single_valued_set(complement(union(u,v))). % 299.97/300.36 105106[0:SSi:104991.0,371.0] || -> member(ordered_pair(f19(complement(union(u,v))),f21(complement(union(u,v)))),complement(v))* single_valued_set(complement(union(u,v))). % 299.97/300.36 105257[0:Res:4258.0,26698.0] || -> equal(complement(apply(cross_product(u,v),w)),universal_set) member(f1(complement(apply(cross_product(u,v),w)),universal_set),sigma(v))*. % 299.97/300.36 105260[2:Res:25246.0,26698.0] || -> equal(complement(apply(cross_product(u,v),w)),universal_set) member(f1(universal_set,complement(apply(cross_product(u,v),w))),sigma(v))*. % 299.97/300.36 105290[0:Res:395.0,26698.0] || -> subset(u,complement(apply(cross_product(v,w),x))) member(f17(u,complement(apply(cross_product(v,w),x))),sigma(w))*. % 299.97/300.36 105293[0:Res:38.1,26698.0] || member(u,domain_of(apply(cross_product(v,w),x))) -> member(f8(u,apply(cross_product(v,w),x)),sigma(w))*. % 299.97/300.36 105295[0:Res:66.1,26698.0] || member(u,sigma(apply(cross_product(v,w),x))) -> member(f16(u,apply(cross_product(v,w),x)),sigma(w))*. % 299.97/300.36 105297[0:Res:107.1,26698.0] || member(u,range_of(apply(cross_product(v,w),x))) -> member(f27(u,apply(cross_product(v,w),x)),sigma(w))*. % 299.97/300.36 105320[16:Res:55061.3,26698.0] little_set(u) || subset(u,apply(cross_product(v,w),x))* -> equal(u,a) member(f26(u),sigma(w)). % 299.97/300.36 105337[0:Res:965.2,26698.0] || member(u,domain_of(v)) subset(v,apply(cross_product(w,x),y))* -> member(f8(u,v),sigma(x))*. % 299.97/300.36 105339[0:Res:964.2,26698.0] || member(u,sigma(v)) subset(v,apply(cross_product(w,x),y))* -> member(f16(u,v),sigma(x))*. % 299.97/300.36 105341[0:Res:963.2,26698.0] || member(u,range_of(v)) subset(v,apply(cross_product(w,x),y))* -> member(f27(u,v),sigma(x))*. % 299.97/300.36 105440[3:AED:105419.2] || member(u,domain_of(second(v))) member(v,cross_product(w,x))* -> member(f8(u,second(v)),sigma(x))*. % 299.97/300.36 105441[3:AED:105418.2] || member(u,sigma(second(v))) member(v,cross_product(w,x))* -> member(f16(u,second(v)),sigma(x))*. % 299.97/300.36 105442[3:AED:105417.2] || member(u,range_of(second(v))) member(v,cross_product(w,x))* -> member(f27(u,second(v)),sigma(x))*. % 299.97/300.36 105443[3:AED:105415.1] || member(u,cross_product(v,w))* -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f21(second(u))),sigma(w))*. % 299.97/300.36 105444[3:AED:105414.1] || member(u,cross_product(v,w))* -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f20(second(u))),sigma(w))*. % 299.97/300.36 4283[0:Res:136.1,1444.0] || member(u,compose(v,singleton_set(w))) -> equal(ordered_pair(f31(u,v,singleton_set(w)),f30(u,v,singleton_set(w))),w)**. % 299.97/300.36 4358[0:Res:135.1,1444.0] || member(u,compose(singleton_set(v),w)) -> equal(ordered_pair(f29(u,singleton_set(v),w),f31(u,singleton_set(v),w)),v)**. % 299.97/300.36 7896[3:Res:46.1,6176.0] || member(u,converse(converse(v)))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))))*. % 299.97/300.36 9852[0:Res:93.1,1354.0] || member(u,image(v,image(w,cross_product(x,y)))) -> member(f22(u,v,image(w,cross_product(x,y))),y)*. % 299.97/300.36 9848[0:Res:118.1,1354.0] || member(u,apply(image(v,cross_product(w,x)),y)) -> member(f28(u,image(v,cross_product(w,x)),y),x)*. % 299.97/300.36 10796[2:Rew:5392.0,4471.2,5392.0,4471.1] ordered_pair_predicate(complement(estin)) || member(second(universal_set),u) member(first(universal_set),v) -> member(a,sigma(cross_product(v,u)))*. % 299.97/300.36 10942[2:Res:35.2,616.1] little_set(first(f27(complement(u),v))) || member(complement(u),range_of(v)) -> member(first(f27(complement(u),v)),u)*. % 299.97/300.36 11109[0:Res:94.1,4238.0] || member(u,image(compose(v,w),x)) equal(y,first(f22(u,compose(v,w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.36 11242[0:Res:278.1,1354.0] || -> subset(intersection(u,image(v,cross_product(w,x))),y) member(f17(intersection(u,image(v,cross_product(w,x))),y),x)*. % 299.97/300.36 11300[0:Res:286.1,1354.0] || -> subset(intersection(image(u,cross_product(v,w)),x),y) member(f17(intersection(image(u,cross_product(v,w)),x),y),w)*. % 299.97/300.36 11632[0:Res:285.1,1354.0] || -> disjoint(intersection(image(u,cross_product(v,w)),x),y) member(f23(intersection(image(u,cross_product(v,w)),x),y),w)*. % 299.97/300.36 11726[0:Res:289.1,1354.0] || -> disjoint(u,intersection(image(v,cross_product(w,x)),y)) member(f23(u,intersection(image(v,cross_product(w,x)),y)),x)*. % 299.97/300.36 11824[0:Res:277.1,1354.0] || -> disjoint(intersection(u,image(v,cross_product(w,x))),y) member(f23(intersection(u,image(v,cross_product(w,x))),y),x)*. % 299.97/300.36 11985[0:Res:281.1,1354.0] || -> disjoint(u,intersection(v,image(w,cross_product(x,y)))) member(f23(u,intersection(v,image(w,cross_product(x,y)))),y)*. % 299.97/300.36 12061[0:Rew:36.0,12035.1] || member(ordered_pair(f19(union(u,v)),f21(union(u,v))),intersection(complement(u),complement(v)))* -> single_valued_set(union(u,v)). % 299.97/300.36 12131[0:Rew:36.0,12105.1] || member(ordered_pair(f19(union(u,v)),f20(union(u,v))),intersection(complement(u),complement(v)))* -> single_valued_set(union(u,v)). % 299.97/300.36 12220[6:Res:52.1,10857.1] || member(u,rotate_right(infinity)) equal(successor(ordered_pair(f10(u,infinity),ordered_pair(f11(u,infinity),f9(u,infinity)))),universal_set)** -> . % 299.97/300.36 12219[6:Res:58.1,10857.1] || member(u,flip_range_of(infinity)) equal(successor(ordered_pair(f12(u,infinity),ordered_pair(f14(u,infinity),f13(u,infinity)))),universal_set)** -> . % 299.97/300.36 12276[0:Res:33.2,1219.1] || member(successor(u),v)* member(successor(u),w)* member(u,infinity) disjoint(intersection(w,v),infinity)* -> . % 299.97/300.36 12275[0:Res:120.1,1219.1] || member(successor(u),apply(v,w)) member(u,infinity) disjoint(second(f28(successor(u),v,w)),infinity)* -> . % 299.97/300.36 13173[0:SpR:134.1,1103.2] little_set(u) || member(v,compose(w,x)) equal(u,singleton_set(f29(v,w,x)))* -> member(u,v)*. % 299.97/300.36 13220[0:SSi:13204.0,371.0] || equal(ordered_pair(f19(complement(ordered_pair(u,v))),f20(complement(ordered_pair(u,v)))),singleton_set(u))** -> single_valued_set(complement(ordered_pair(u,v))). % 299.97/300.36 13221[0:SSi:13203.0,371.0] || equal(ordered_pair(f19(complement(ordered_pair(u,v))),f21(complement(ordered_pair(u,v)))),singleton_set(u))** -> single_valued_set(complement(ordered_pair(u,v))). % 299.97/300.36 13302[0:Res:538.1,4238.0] || equal(u,second(f23(cross_product(v,compose(w,x)),y)))* -> disjoint(cross_product(v,compose(w,x)),y) ordered_pair_predicate(u)*. % 299.97/300.36 13345[0:Res:543.1,4238.0] || equal(u,second(f23(v,cross_product(w,compose(x,y)))))* -> disjoint(v,cross_product(w,compose(x,y))) ordered_pair_predicate(u)*. % 299.97/300.36 13419[0:Res:551.1,4238.0] || equal(u,first(f23(cross_product(compose(v,w),x),y)))* -> disjoint(cross_product(compose(v,w),x),y) ordered_pair_predicate(u)*. % 299.97/300.36 13497[0:Res:556.1,4238.0] || equal(u,first(f23(v,cross_product(compose(w,x),y))))* -> disjoint(v,cross_product(compose(w,x),y)) ordered_pair_predicate(u)*. % 299.97/300.36 13638[0:Res:539.1,4238.0] || equal(u,second(f17(cross_product(v,compose(w,x)),y)))* -> subset(cross_product(v,compose(w,x)),y) ordered_pair_predicate(u)*. % 299.97/300.36 13701[0:Res:552.1,4238.0] || equal(u,first(f17(cross_product(compose(v,w),x),y)))* -> subset(cross_product(compose(v,w),x),y) ordered_pair_predicate(u)*. % 299.97/300.36 14807[0:Res:957.2,314.0] || subset(u,intersection(complement(v),complement(w))) member(ordered_pair(f19(u),f20(u)),union(v,w))* -> single_valued_set(u). % 299.97/300.36 14806[0:Res:956.2,314.0] || subset(u,intersection(complement(v),complement(w))) member(ordered_pair(f19(u),f21(u)),union(v,w))* -> single_valued_set(u). % 299.97/300.36 14873[0:Res:960.2,1020.0] || member(u,infinity) subset(infinity,converse(intersection(v,w)))* -> member(ordered_pair(second(successor(u)),first(successor(u))),v)*. % 299.97/300.36 14979[0:Res:960.2,1021.0] || member(u,infinity) subset(infinity,converse(intersection(v,w)))* -> member(ordered_pair(second(successor(u)),first(successor(u))),w)*. % 299.97/300.36 15236[0:Rew:39.1,15215.2] || member(u,domain_of(v)) subset(v,converse(intersection(w,x)))* -> member(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.36 15237[0:Rew:39.1,15214.2] || member(u,domain_of(v)) subset(v,converse(intersection(w,x)))* -> member(ordered_pair(second(f8(u,v)),u),x)*. % 299.97/300.36 15264[3:Res:964.2,6176.0] || member(u,sigma(v)) subset(v,converse(w))* -> ordered_pair_predicate(ordered_pair(second(f16(u,v)),first(f16(u,v))))*. % 299.97/300.36 15512[0:Rew:108.1,15491.2] || member(u,range_of(v)) subset(v,converse(intersection(w,x)))* -> member(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.36 15513[0:Rew:108.1,15490.2] || member(u,range_of(v)) subset(v,converse(intersection(w,x)))* -> member(ordered_pair(u,first(f27(u,v))),x)*. % 299.97/300.36 16173[0:Res:493.1,274.0] || member(u,domain_of(intersection(restrict(v,w),x))) -> member(f8(u,intersection(restrict(v,w),x)),cross_product(w,universal_set))*. % 299.97/300.36 16169[0:Res:493.1,547.0] || member(u,domain_of(intersection(range_of(cross_product(v,w)),x))) -> member(f8(u,intersection(range_of(cross_product(v,w)),x)),w)*. % 299.97/300.36 16168[0:Res:493.1,560.0] || member(u,domain_of(intersection(domain_of(cross_product(v,w)),x))) -> member(f8(u,intersection(domain_of(cross_product(v,w)),x)),v)*. % 299.97/300.36 16404[0:Res:494.1,274.0] || member(u,domain_of(intersection(v,restrict(w,x)))) -> member(f8(u,intersection(v,restrict(w,x))),cross_product(x,universal_set))*. % 299.97/300.36 16400[0:Res:494.1,547.0] || member(u,domain_of(intersection(v,range_of(cross_product(w,x))))) -> member(f8(u,intersection(v,range_of(cross_product(w,x)))),x)*. % 299.97/300.36 16399[0:Res:494.1,560.0] || member(u,domain_of(intersection(v,domain_of(cross_product(w,x))))) -> member(f8(u,intersection(v,domain_of(cross_product(w,x)))),w)*. % 299.97/300.36 17131[0:Res:455.1,274.0] || member(u,sigma(intersection(restrict(v,w),x))) -> member(f16(u,intersection(restrict(v,w),x)),cross_product(w,universal_set))*. % 299.97/300.36 17125[0:Res:455.1,547.0] || member(u,sigma(intersection(range_of(cross_product(v,w)),x))) -> member(f16(u,intersection(range_of(cross_product(v,w)),x)),w)*. % 299.97/300.36 17123[0:Res:455.1,560.0] || member(u,sigma(intersection(domain_of(cross_product(v,w)),x))) -> member(f16(u,intersection(domain_of(cross_product(v,w)),x)),v)*. % 299.97/300.36 17232[0:Res:456.1,274.0] || member(u,sigma(intersection(v,restrict(w,x)))) -> member(f16(u,intersection(v,restrict(w,x))),cross_product(x,universal_set))*. % 299.97/300.36 17226[0:Res:456.1,547.0] || member(u,sigma(intersection(v,range_of(cross_product(w,x))))) -> member(f16(u,intersection(v,range_of(cross_product(w,x)))),x)*. % 299.97/300.36 17224[0:Res:456.1,560.0] || member(u,sigma(intersection(v,domain_of(cross_product(w,x))))) -> member(f16(u,intersection(v,domain_of(cross_product(w,x)))),w)*. % 299.97/300.36 17425[0:Res:426.1,274.0] || member(u,range_of(intersection(restrict(v,w),x))) -> member(f27(u,intersection(restrict(v,w),x)),cross_product(w,universal_set))*. % 299.97/300.36 17419[0:Res:426.1,547.0] || member(u,range_of(intersection(range_of(cross_product(v,w)),x))) -> member(f27(u,intersection(range_of(cross_product(v,w)),x)),w)*. % 299.97/300.36 17417[0:Res:426.1,560.0] || member(u,range_of(intersection(domain_of(cross_product(v,w)),x))) -> member(f27(u,intersection(domain_of(cross_product(v,w)),x)),v)*. % 299.97/300.36 17532[0:Res:427.1,274.0] || member(u,range_of(intersection(v,restrict(w,x)))) -> member(f27(u,intersection(v,restrict(w,x))),cross_product(x,universal_set))*. % 299.97/300.36 17526[0:Res:427.1,547.0] || member(u,range_of(intersection(v,range_of(cross_product(w,x))))) -> member(f27(u,intersection(v,range_of(cross_product(w,x)))),x)*. % 299.97/300.36 17524[0:Res:427.1,560.0] || member(u,range_of(intersection(v,domain_of(cross_product(w,x))))) -> member(f27(u,intersection(v,domain_of(cross_product(w,x)))),w)*. % 299.97/300.36 17605[2:MRR:17594.0,1545.1] || equal(first(f22(ordered_pair(u,v),w,x)),non_ordered_pair(u,v))** member(ordered_pair(u,v),image(w,x)) -> . % 299.97/300.36 17660[2:Res:960.2,1467.1] || member(u,infinity) subset(infinity,second(f28(v,w,successor(u))))* member(v,apply(w,successor(u))) -> . % 299.97/300.36 17967[0:Rew:108.1,17928.1] || member(u,range_of(converse(cross_product(v,w)))) -> member(first(ordered_pair(u,first(f27(u,converse(cross_product(v,w)))))),v)*. % 299.97/300.36 17968[0:Rew:39.1,17924.1] || member(u,domain_of(converse(cross_product(v,w)))) -> member(first(ordered_pair(second(f8(u,converse(cross_product(v,w)))),u)),v)*. % 299.97/300.36 18091[0:Rew:108.1,18052.1] || member(u,range_of(converse(cross_product(v,w)))) -> member(second(ordered_pair(u,first(f27(u,converse(cross_product(v,w)))))),w)*. % 299.97/300.36 18092[0:Rew:39.1,18048.1] || member(u,domain_of(converse(cross_product(v,w)))) -> member(second(ordered_pair(second(f8(u,converse(cross_product(v,w)))),u)),w)*. % 299.97/300.36 18159[0:Res:4115.1,4238.0] ordered_pair_predicate(u) || equal(v,ordered_pair(second(u),first(u)))* -> member(u,converse(complement(compose(w,x))))* ordered_pair_predicate(v)*. % 299.97/300.36 18148[0:Res:4115.1,68.0] ordered_pair_predicate(u) || member(v,w)* -> member(u,converse(complement(v)))* member(ordered_pair(second(u),first(u)),sigma(w))*. % 299.97/300.36 18147[0:Res:4115.1,98.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* disjoint(v,w)* -> member(u,converse(complement(w)))*. % 299.97/300.36 18203[0:MRR:18143.0,106.1] || member(u,range_of(v)) -> member(ordered_pair(u,first(f27(u,v))),w)* member(f27(u,v),converse(complement(w))). % 299.97/300.36 18204[0:MRR:18138.0,37.1] || member(u,domain_of(v)) -> member(ordered_pair(second(f8(u,v)),u),w)* member(f8(u,v),converse(complement(w))). % 299.97/300.36 18255[0:Res:279.1,68.0] || member(u,v) -> single_valued_set(intersection(w,u)) member(ordered_pair(f19(intersection(w,u)),f21(intersection(w,u))),sigma(v))*. % 299.97/300.36 18254[0:Res:279.1,98.0] || member(ordered_pair(f19(intersection(u,v)),f21(intersection(u,v))),w)* disjoint(w,v) -> single_valued_set(intersection(u,v)). % 299.97/300.36 18392[0:Res:280.1,68.0] || member(u,v) -> single_valued_set(intersection(w,u)) member(ordered_pair(f19(intersection(w,u)),f20(intersection(w,u))),sigma(v))*. % 299.97/300.36 18391[0:Res:280.1,98.0] || member(ordered_pair(f19(intersection(u,v)),f20(intersection(u,v))),w)* disjoint(w,v) -> single_valued_set(intersection(u,v)). % 299.97/300.36 18474[0:Res:287.1,68.0] || member(u,v) -> single_valued_set(intersection(u,w)) member(ordered_pair(f19(intersection(u,w)),f21(intersection(u,w))),sigma(v))*. % 299.97/300.36 18473[0:Res:287.1,98.0] || member(ordered_pair(f19(intersection(u,v)),f21(intersection(u,v))),w)* disjoint(w,u) -> single_valued_set(intersection(u,v)). % 299.97/300.36 18616[0:Res:288.1,68.0] || member(u,v) -> single_valued_set(intersection(u,w)) member(ordered_pair(f19(intersection(u,w)),f20(intersection(u,w))),sigma(v))*. % 299.97/300.36 18615[0:Res:288.1,98.0] || member(ordered_pair(f19(intersection(u,v)),f20(intersection(u,v))),w)* disjoint(w,u) -> single_valued_set(intersection(u,v)). % 299.97/300.36 18822[0:Res:384.1,68.0] little_set(u) || member(intersection(complement(v),complement(w)),x)* -> member(u,union(v,w))* member(u,sigma(x))*. % 299.97/300.36 18882[3:SSi:18856.0,18197.0,371.1] ordered_pair_predicate(u) || -> member(ordered_pair(second(u),first(u)),union(v,w))* member(u,converse(intersection(complement(v),complement(w)))). % 299.97/300.36 18926[0:Res:1079.2,1137.1] little_set(complement(u)) little_set(v) || equal(complement(u),w)* -> member(v,u)* member(v,sigma(singleton_set(w)))*. % 299.97/300.36 18925[0:Res:77.2,1137.1] little_set(complement(u)) little_set(v) || subset(complement(u),w)* -> member(v,u)* member(v,sigma(powerset(w)))*. % 299.97/300.36 18913[0:SpL:36.0,1137.1] little_set(u) || member(union(v,w),x)* -> member(u,intersection(complement(v),complement(w)))* member(u,sigma(x))*. % 299.97/300.36 18995[0:Res:67.1,1139.1] || member(f7(u,v),sigma(w)) member(u,second(v)) -> member(u,sigma(f16(f7(u,v),w)))*. % 299.97/300.36 18994[0:Res:21.1,1139.1] || member(f7(u,v),first(w)) member(u,second(v)) -> member(u,sigma(f4(f7(u,v),w)))*. % 299.97/300.36 18993[0:Res:26.1,1139.1] || member(f7(u,v),second(w)) member(u,second(v)) -> member(u,sigma(f7(f7(u,v),w)))*. % 299.97/300.36 19007[0:MRR:18992.0,24.1] || member(u,second(v)) -> member(f7(u,v),union(w,x))* member(u,sigma(intersection(complement(w),complement(x))))*. % 299.97/300.36 19124[0:Res:67.1,1140.1] || member(f4(u,v),sigma(w)) member(u,first(v)) -> member(u,sigma(f16(f4(u,v),w)))*. % 299.97/300.36 19123[0:Res:21.1,1140.1] || member(f4(u,v),first(w)) member(u,first(v)) -> member(u,sigma(f4(f4(u,v),w)))*. % 299.97/300.36 19122[0:Res:26.1,1140.1] || member(f4(u,v),second(w)) member(u,first(v)) -> member(u,sigma(f7(f4(u,v),w)))*. % 299.97/300.36 19136[0:MRR:19121.0,18.1] || member(u,first(v)) -> member(f4(u,v),union(w,x))* member(u,sigma(intersection(complement(w),complement(x))))*. % 299.97/300.36 19252[0:Res:67.1,1138.1] || member(f16(u,v),sigma(w)) member(u,sigma(v)) -> member(u,sigma(f16(f16(u,v),w)))*. % 299.97/300.36 19251[0:Res:21.1,1138.1] || member(f16(u,v),first(w)) member(u,sigma(v)) -> member(u,sigma(f4(f16(u,v),w)))*. % 299.97/300.36 19250[0:Res:26.1,1138.1] || member(f16(u,v),second(w)) member(u,sigma(v)) -> member(u,sigma(f7(f16(u,v),w)))*. % 299.97/300.36 19271[0:MRR:19249.0,449.1] || member(u,sigma(v)) -> member(f16(u,v),union(w,x))* member(u,sigma(intersection(complement(w),complement(x))))*. % 299.97/300.36 19569[0:Res:546.1,4578.0] || member(u,domain_of(cross_product(v,rotate_right(w)))) equal(x,second(f8(u,cross_product(v,rotate_right(w)))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 19567[0:Res:546.1,4549.0] || member(u,domain_of(cross_product(v,flip_range_of(w)))) equal(x,second(f8(u,cross_product(v,flip_range_of(w)))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 19565[0:Res:546.1,43.0] || member(u,domain_of(cross_product(v,cross_product(w,x)))) -> member(second(second(f8(u,cross_product(v,cross_product(w,x))))),x)*. % 299.97/300.36 19564[0:Res:546.1,42.0] || member(u,domain_of(cross_product(v,cross_product(w,x)))) -> member(first(second(f8(u,cross_product(v,cross_product(w,x))))),w)*. % 299.97/300.36 19559[0:Res:546.1,68.0] || member(u,domain_of(cross_product(v,w))) member(w,x) -> member(second(f8(u,cross_product(v,w))),sigma(x))*. % 299.97/300.36 19558[0:Res:546.1,98.0] || member(u,domain_of(cross_product(v,w))) member(second(f8(u,cross_product(v,w))),x)* disjoint(x,w) -> . % 299.97/300.36 19646[0:Res:1161.2,68.0] || member(u,domain_of(v)) member(v,w)* member(sigma(w),x)* -> member(f8(u,v),sigma(x))*. % 299.97/300.36 19645[0:Res:1161.2,98.0] || member(u,domain_of(v)) member(v,w)* member(f8(u,v),x)* disjoint(x,sigma(w))* -> . % 299.97/300.36 19738[0:Res:67.1,1225.1] || member(f8(u,v),sigma(w)) member(u,domain_of(v)) disjoint(f16(f8(u,v),w),v)* -> . % 299.97/300.36 19737[0:Res:21.1,1225.1] || member(f8(u,v),first(w)) member(u,domain_of(v)) disjoint(f4(f8(u,v),w),v)* -> . % 299.97/300.36 19736[0:Res:26.1,1225.1] || member(f8(u,v),second(w)) member(u,domain_of(v)) disjoint(f7(f8(u,v),w),v)* -> . % 299.97/300.36 19767[0:MRR:19735.0,487.1] || member(u,domain_of(v)) disjoint(intersection(complement(w),complement(x)),v) -> member(f8(u,v),union(w,x))*. % 299.97/300.36 19997[0:Res:67.1,1223.1] || member(f27(u,v),sigma(w)) member(u,range_of(v)) disjoint(f16(f27(u,v),w),v)* -> . % 299.97/300.36 19996[0:Res:21.1,1223.1] || member(f27(u,v),first(w)) member(u,range_of(v)) disjoint(f4(f27(u,v),w),v)* -> . % 299.97/300.36 19995[0:Res:26.1,1223.1] || member(f27(u,v),second(w)) member(u,range_of(v)) disjoint(f7(f27(u,v),w),v)* -> . % 299.97/300.36 20024[0:MRR:19994.0,420.1] || member(u,range_of(v)) disjoint(intersection(complement(w),complement(x)),v) -> member(f27(u,v),union(w,x))*. % 299.97/300.36 20258[0:Res:67.1,1224.1] || member(f16(u,v),sigma(w)) member(u,sigma(v)) disjoint(f16(f16(u,v),w),v)* -> . % 299.97/300.36 20257[0:Res:21.1,1224.1] || member(f16(u,v),first(w)) member(u,sigma(v)) disjoint(f4(f16(u,v),w),v)* -> . % 299.97/300.36 20256[0:Res:26.1,1224.1] || member(f16(u,v),second(w)) member(u,sigma(v)) disjoint(f7(f16(u,v),w),v)* -> . % 299.97/300.36 20285[0:MRR:20255.0,449.1] || member(u,sigma(v)) disjoint(intersection(complement(w),complement(x)),v) -> member(f16(u,v),union(w,x))*. % 299.97/300.36 20501[0:Res:384.1,20288.0] little_set(set_b) || disjoint(intersection(complement(u),complement(v)),intersection(complement(u),complement(v)))* -> member(set_b,union(u,v)). % 299.97/300.36 20522[0:Res:384.1,20289.0] little_set(set_a) || disjoint(intersection(complement(u),complement(v)),intersection(complement(u),complement(v)))* -> member(set_a,union(u,v)). % 299.97/300.36 20557[0:Res:1160.2,68.0] || member(u,sigma(v)) member(v,w)* member(sigma(w),x)* -> member(f16(u,v),sigma(x))*. % 299.97/300.36 20556[0:Res:1160.2,98.0] || member(u,sigma(v)) member(v,w)* member(f16(u,v),x)* disjoint(x,sigma(w))* -> . % 299.97/300.36 20654[0:Res:545.1,4578.0] || member(u,sigma(cross_product(v,rotate_right(w)))) equal(x,second(f16(u,cross_product(v,rotate_right(w)))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 20652[0:Res:545.1,4549.0] || member(u,sigma(cross_product(v,flip_range_of(w)))) equal(x,second(f16(u,cross_product(v,flip_range_of(w)))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 20650[0:Res:545.1,43.0] || member(u,sigma(cross_product(v,cross_product(w,x)))) -> member(second(second(f16(u,cross_product(v,cross_product(w,x))))),x)*. % 299.97/300.36 20649[0:Res:545.1,42.0] || member(u,sigma(cross_product(v,cross_product(w,x)))) -> member(first(second(f16(u,cross_product(v,cross_product(w,x))))),w)*. % 299.97/300.36 20644[0:Res:545.1,68.0] || member(u,sigma(cross_product(v,w))) member(w,x) -> member(second(f16(u,cross_product(v,w))),sigma(x))*. % 299.97/300.36 20643[0:Res:545.1,98.0] || member(u,sigma(cross_product(v,w))) member(second(f16(u,cross_product(v,w))),x)* disjoint(x,w) -> . % 299.97/300.36 20762[0:Res:558.1,4578.0] || member(u,sigma(cross_product(rotate_right(v),w))) equal(x,first(f16(u,cross_product(rotate_right(v),w))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 20760[0:Res:558.1,4549.0] || member(u,sigma(cross_product(flip_range_of(v),w))) equal(x,first(f16(u,cross_product(flip_range_of(v),w))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 20758[0:Res:558.1,43.0] || member(u,sigma(cross_product(cross_product(v,w),x))) -> member(second(first(f16(u,cross_product(cross_product(v,w),x)))),w)*. % 299.97/300.36 20757[0:Res:558.1,42.0] || member(u,sigma(cross_product(cross_product(v,w),x))) -> member(first(first(f16(u,cross_product(cross_product(v,w),x)))),v)*. % 299.97/300.36 20752[0:Res:558.1,68.0] || member(u,sigma(cross_product(v,w))) member(v,x) -> member(first(f16(u,cross_product(v,w))),sigma(x))*. % 299.97/300.36 20751[0:Res:558.1,98.0] || member(u,sigma(cross_product(v,w))) member(first(f16(u,cross_product(v,w))),x)* disjoint(x,v) -> . % 299.97/300.36 20845[0:Res:1159.2,68.0] || member(u,range_of(v)) member(v,w)* member(sigma(w),x)* -> member(f27(u,v),sigma(x))*. % 299.97/300.36 20844[0:Res:1159.2,98.0] || member(u,range_of(v)) member(v,w)* member(f27(u,v),x)* disjoint(x,sigma(w))* -> . % 299.97/300.36 20897[0:Res:557.1,4578.0] || member(u,range_of(cross_product(rotate_right(v),w))) equal(x,first(f27(u,cross_product(rotate_right(v),w))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 20895[0:Res:557.1,4549.0] || member(u,range_of(cross_product(flip_range_of(v),w))) equal(x,first(f27(u,cross_product(flip_range_of(v),w))))* -> ordered_pair_predicate(x)*. % 299.97/300.36 20893[0:Res:557.1,43.0] || member(u,range_of(cross_product(cross_product(v,w),x))) -> member(second(first(f27(u,cross_product(cross_product(v,w),x)))),w)*. % 299.97/300.36 20892[0:Res:557.1,42.0] || member(u,range_of(cross_product(cross_product(v,w),x))) -> member(first(first(f27(u,cross_product(cross_product(v,w),x)))),v)*. % 299.97/300.36 20887[0:Res:557.1,68.0] || member(u,range_of(cross_product(v,w))) member(v,x) -> member(first(f27(u,cross_product(v,w))),sigma(x))*. % 299.97/300.36 20886[0:Res:557.1,98.0] || member(u,range_of(cross_product(v,w))) member(first(f27(u,cross_product(v,w))),x)* disjoint(x,v) -> . % 299.97/300.36 21012[0:MRR:20998.0,1340.1] || equal(f22(u,v,complement(ordered_pair(w,x))),singleton_set(w)) member(u,image(v,complement(ordered_pair(w,x))))* -> . % 299.97/300.36 21076[0:MRR:21062.0,1275.1] || equal(f28(u,complement(ordered_pair(v,w)),x),singleton_set(v)) member(u,apply(complement(ordered_pair(v,w)),x))* -> . % 299.97/300.36 21092[0:Res:3651.2,68.0] || member(u,cross_product(v,universal_set))* member(u,w)* member(restrict(w,v),x)* -> member(u,sigma(x))*. % 299.97/300.36 21091[0:Res:3651.2,98.0] || member(u,cross_product(v,universal_set))* member(u,w)* member(u,x)* disjoint(x,restrict(w,v))* -> . % 299.97/300.36 21462[0:Res:540.1,34.1] || member(second(ordered_pair(f19(cross_product(u,complement(v))),f21(cross_product(u,complement(v))))),v)* -> single_valued_set(cross_product(u,complement(v))). % 299.97/300.36 21450[6:Res:540.1,10804.1] || equal(second(ordered_pair(f19(cross_product(u,rotate_right(v))),f21(cross_product(u,rotate_right(v))))),universal_set)** -> single_valued_set(cross_product(u,rotate_right(v))). % 299.97/300.36 21448[6:Res:540.1,10803.1] || equal(second(ordered_pair(f19(cross_product(u,flip_range_of(v))),f21(cross_product(u,flip_range_of(v))))),universal_set)** -> single_valued_set(cross_product(u,flip_range_of(v))). % 299.97/300.36 21442[0:Res:540.1,70.0] || subset(u,v) -> single_valued_set(cross_product(w,u)) member(second(ordered_pair(f19(cross_product(w,u)),f21(cross_product(w,u)))),v)*. % 299.97/300.36 21622[0:Res:541.1,34.1] || member(second(ordered_pair(f19(cross_product(u,complement(v))),f20(cross_product(u,complement(v))))),v)* -> single_valued_set(cross_product(u,complement(v))). % 299.97/300.36 21610[6:Res:541.1,10804.1] || equal(second(ordered_pair(f19(cross_product(u,rotate_right(v))),f20(cross_product(u,rotate_right(v))))),universal_set)** -> single_valued_set(cross_product(u,rotate_right(v))). % 299.97/300.36 21608[6:Res:541.1,10803.1] || equal(second(ordered_pair(f19(cross_product(u,flip_range_of(v))),f20(cross_product(u,flip_range_of(v))))),universal_set)** -> single_valued_set(cross_product(u,flip_range_of(v))). % 299.97/300.36 21602[0:Res:541.1,70.0] || subset(u,v) -> single_valued_set(cross_product(w,u)) member(second(ordered_pair(f19(cross_product(w,u)),f20(cross_product(w,u)))),v)*. % 299.97/300.36 21701[0:Res:553.1,34.1] || member(first(ordered_pair(f19(cross_product(complement(u),v)),f21(cross_product(complement(u),v)))),u)* -> single_valued_set(cross_product(complement(u),v)). % 299.97/300.36 21689[6:Res:553.1,10804.1] || equal(first(ordered_pair(f19(cross_product(rotate_right(u),v)),f21(cross_product(rotate_right(u),v)))),universal_set)** -> single_valued_set(cross_product(rotate_right(u),v)). % 299.97/300.36 21687[6:Res:553.1,10803.1] || equal(first(ordered_pair(f19(cross_product(flip_range_of(u),v)),f21(cross_product(flip_range_of(u),v)))),universal_set)** -> single_valued_set(cross_product(flip_range_of(u),v)). % 299.97/300.36 21681[0:Res:553.1,70.0] || subset(u,v) -> single_valued_set(cross_product(u,w)) member(first(ordered_pair(f19(cross_product(u,w)),f21(cross_product(u,w)))),v)*. % 299.97/300.36 21790[0:Res:554.1,34.1] || member(first(ordered_pair(f19(cross_product(complement(u),v)),f20(cross_product(complement(u),v)))),u)* -> single_valued_set(cross_product(complement(u),v)). % 299.97/300.36 21778[6:Res:554.1,10804.1] || equal(first(ordered_pair(f19(cross_product(rotate_right(u),v)),f20(cross_product(rotate_right(u),v)))),universal_set)** -> single_valued_set(cross_product(rotate_right(u),v)). % 299.97/300.36 21776[6:Res:554.1,10803.1] || equal(first(ordered_pair(f19(cross_product(flip_range_of(u),v)),f20(cross_product(flip_range_of(u),v)))),universal_set)** -> single_valued_set(cross_product(flip_range_of(u),v)). % 299.97/300.36 21770[0:Res:554.1,70.0] || subset(u,v) -> single_valued_set(cross_product(u,w)) member(first(ordered_pair(f19(cross_product(u,w)),f20(cross_product(u,w)))),v)*. % 299.97/300.36 21994[0:Res:67.1,1136.2] little_set(u) || member(powerset(v),sigma(w)) subset(u,v) -> member(u,sigma(f16(powerset(v),w)))*. % 299.97/300.36 21993[0:Res:21.1,1136.2] little_set(u) || member(powerset(v),first(w)) subset(u,v) -> member(u,sigma(f4(powerset(v),w)))*. % 299.97/300.36 21992[0:Res:26.1,1136.2] little_set(u) || member(powerset(v),second(w)) subset(u,v) -> member(u,sigma(f7(powerset(v),w)))*. % 299.97/300.36 21987[0:Res:35.2,1136.2] little_set(powerset(u)) little_set(v) || subset(v,u)* -> member(powerset(u),w)* member(v,sigma(complement(w)))*. % 299.97/300.36 22176[0:MRR:22150.0,1545.1] || equal(first(f22(u,complement(non_ordered_pair(v,w)),x)),w)** member(u,image(complement(non_ordered_pair(v,w)),x)) -> . % 299.97/300.36 22177[0:MRR:22149.0,1545.1] || equal(first(f22(u,complement(non_ordered_pair(v,w)),x)),v)** member(u,image(complement(non_ordered_pair(v,w)),x)) -> . % 299.97/300.36 22317[2:Res:5009.3,20309.0] little_set(u) little_set(v) || member(infinity,v) disjoint(first(ordered_pair(v,u)),first(ordered_pair(v,u)))* -> . % 299.97/300.36 22315[0:Res:5009.3,20289.0] little_set(u) little_set(v) || member(set_a,v) disjoint(first(ordered_pair(v,u)),first(ordered_pair(v,u)))* -> . % 299.97/300.36 22313[0:Res:5009.3,20288.0] little_set(u) little_set(v) || member(set_b,v) disjoint(first(ordered_pair(v,u)),first(ordered_pair(v,u)))* -> . % 299.97/300.36 22302[0:Res:5009.3,70.0] little_set(u) little_set(v) || member(w,v)* subset(first(ordered_pair(v,u)),x)* -> member(w,x)*. % 299.97/300.36 22459[0:Res:107.1,5018.1] ordered_pair_predicate(u) || member(v,range_of(f2(u))) equal(w,u) -> member(f27(v,f2(u)),first(w))*. % 299.97/300.36 22457[0:Res:66.1,5018.1] ordered_pair_predicate(u) || member(v,sigma(f2(u))) equal(w,u) -> member(f16(v,f2(u)),first(w))*. % 299.97/300.36 22455[0:Res:38.1,5018.1] ordered_pair_predicate(u) || member(v,domain_of(f2(u))) equal(w,u) -> member(f8(v,f2(u)),first(w))*. % 299.97/300.36 22452[0:Res:395.0,5018.1] ordered_pair_predicate(u) || equal(v,u) -> subset(w,complement(f2(u))) member(f17(w,complement(f2(u))),first(v))*. % 299.97/300.36 22441[0:Res:4258.0,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(complement(f2(u)),universal_set) member(f1(complement(f2(u)),universal_set),first(v))*. % 299.97/300.36 22436[0:Res:86.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(f2(u)) member(ordered_pair(f19(f2(u)),f20(f2(u))),first(v))*. % 299.97/300.36 22435[0:Res:87.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(f2(u)) member(ordered_pair(f19(f2(u)),f21(f2(u))),first(v))*. % 299.97/300.36 22561[2:Res:5054.3,20309.0] little_set(u) little_set(v) || member(infinity,u) disjoint(second(ordered_pair(v,u)),second(ordered_pair(v,u)))* -> . % 299.97/300.36 22559[0:Res:5054.3,20289.0] little_set(u) little_set(v) || member(set_a,u) disjoint(second(ordered_pair(v,u)),second(ordered_pair(v,u)))* -> . % 299.97/300.36 22557[0:Res:5054.3,20288.0] little_set(u) little_set(v) || member(set_b,u) disjoint(second(ordered_pair(v,u)),second(ordered_pair(v,u)))* -> . % 299.97/300.36 22546[0:Res:5054.3,70.0] little_set(u) little_set(v) || member(w,u)* subset(second(ordered_pair(v,u)),x)* -> member(w,x)*. % 299.97/300.36 22667[0:Res:107.1,5063.1] ordered_pair_predicate(u) || member(v,range_of(f3(u))) equal(w,u) -> member(f27(v,f3(u)),second(w))*. % 299.97/300.36 22665[0:Res:66.1,5063.1] ordered_pair_predicate(u) || member(v,sigma(f3(u))) equal(w,u) -> member(f16(v,f3(u)),second(w))*. % 299.97/300.36 22663[0:Res:38.1,5063.1] ordered_pair_predicate(u) || member(v,domain_of(f3(u))) equal(w,u) -> member(f8(v,f3(u)),second(w))*. % 299.97/300.36 22660[0:Res:395.0,5063.1] ordered_pair_predicate(u) || equal(v,u) -> subset(w,complement(f3(u))) member(f17(w,complement(f3(u))),second(v))*. % 299.97/300.36 22649[0:Res:4258.0,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(complement(f3(u)),universal_set) member(f1(complement(f3(u)),universal_set),second(v))*. % 299.97/300.36 22644[0:Res:86.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(f3(u)) member(ordered_pair(f19(f3(u)),f20(f3(u))),second(v))*. % 299.97/300.36 22643[0:Res:87.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(f3(u)) member(ordered_pair(f19(f3(u)),f21(f3(u))),second(v))*. % 299.97/300.36 22816[0:Res:3821.1,34.1] || member(f1(complement(u),powerset(v)),u)* -> equal(complement(u),powerset(v)) subset(f1(complement(u),powerset(v)),v)*. % 299.97/300.36 22797[0:Res:3821.1,70.0] || subset(u,v) -> equal(u,powerset(w)) subset(f1(u,powerset(w)),w)* member(f1(u,powerset(w)),v)*. % 299.97/300.36 22911[0:Res:3839.1,34.1] || member(f1(powerset(u),complement(v)),v)* -> equal(powerset(u),complement(v)) subset(f1(powerset(u),complement(v)),u)*. % 299.97/300.36 22892[0:Res:3839.1,70.0] || subset(u,v) -> equal(powerset(w),u) subset(f1(powerset(w),u),w)* member(f1(powerset(w),u),v)*. % 299.97/300.36 23022[0:Res:1339.2,1354.0] || member(u,image(v,w)) subset(w,image(x,cross_product(y,z)))* -> member(f22(u,v,w),z)*. % 299.97/300.36 23020[0:Res:1339.2,274.0] || member(u,image(v,w)) subset(w,restrict(x,y))* -> member(f22(u,v,w),cross_product(y,universal_set))*. % 299.97/300.36 22992[0:Res:1339.2,4578.0] || member(u,image(v,w))* subset(w,rotate_right(x))* equal(y,f22(u,v,w))* -> ordered_pair_predicate(y)*. % 299.97/300.36 22990[0:Res:1339.2,4549.0] || member(u,image(v,w))* subset(w,flip_range_of(x))* equal(y,f22(u,v,w))* -> ordered_pair_predicate(y)*. % 299.97/300.36 22983[0:Res:1339.2,70.0] || member(u,image(v,w)) subset(w,x)* subset(x,y)* -> member(f22(u,v,w),y)*. % 299.97/300.36 23114[0:Res:1274.2,1354.0] || member(u,apply(v,w)) subset(v,image(x,cross_product(y,z)))* -> member(f28(u,v,w),z)*. % 299.97/300.36 23112[0:Res:1274.2,274.0] || member(u,apply(v,w)) subset(v,restrict(x,y))* -> member(f28(u,v,w),cross_product(y,universal_set))*. % 299.97/300.36 23075[0:Res:1274.2,70.0] || member(u,apply(v,w)) subset(v,x)* subset(x,y)* -> member(f28(u,v,w),y)*. % 299.97/300.36 23195[0:Res:1350.1,282.0] || member(u,image(v,intersection(restrict(w,x),y))) -> member(f22(u,v,intersection(restrict(w,x),y)),w)*. % 299.97/300.36 23193[0:Res:1350.1,15955.0] || member(u,image(v,intersection(sigma(powerset(w)),x))) -> member(f22(u,v,intersection(sigma(powerset(w)),x)),w)*. % 299.97/300.36 23189[0:Res:1350.1,32.0] || member(u,image(v,intersection(intersection(w,x),y))) -> member(f22(u,v,intersection(intersection(w,x),y)),x)*. % 299.97/300.36 23188[0:Res:1350.1,31.0] || member(u,image(v,intersection(intersection(w,x),y))) -> member(f22(u,v,intersection(intersection(w,x),y)),w)*. % 299.97/300.36 23181[0:Res:1350.1,10964.0] || member(u,image(v,intersection(complement(complement(w)),x))) -> member(f22(u,v,intersection(complement(complement(w)),x)),w)*. % 299.97/300.36 23159[0:Res:1350.1,70.0] || member(u,image(v,intersection(w,x))) subset(w,y) -> member(f22(u,v,intersection(w,x)),y)*. % 299.97/300.36 23280[0:Res:1351.1,282.0] || member(u,image(v,intersection(w,restrict(x,y)))) -> member(f22(u,v,intersection(w,restrict(x,y))),x)*. % 299.97/300.36 23278[0:Res:1351.1,15955.0] || member(u,image(v,intersection(w,sigma(powerset(x))))) -> member(f22(u,v,intersection(w,sigma(powerset(x)))),x)*. % 299.97/300.36 23274[0:Res:1351.1,32.0] || member(u,image(v,intersection(w,intersection(x,y)))) -> member(f22(u,v,intersection(w,intersection(x,y))),y)*. % 299.97/300.36 23273[0:Res:1351.1,31.0] || member(u,image(v,intersection(w,intersection(x,y)))) -> member(f22(u,v,intersection(w,intersection(x,y))),x)*. % 299.97/300.36 23266[0:Res:1351.1,10964.0] || member(u,image(v,intersection(w,complement(complement(x))))) -> member(f22(u,v,intersection(w,complement(complement(x)))),x)*. % 299.97/300.36 23244[0:Res:1351.1,70.0] || member(u,image(v,intersection(w,x))) subset(x,y) -> member(f22(u,v,intersection(w,x)),y)*. % 299.97/300.36 23365[0:Res:1285.1,282.0] || member(u,apply(intersection(restrict(v,w),x),y)) -> member(f28(u,intersection(restrict(v,w),x),y),v)*. % 299.97/300.36 23363[0:Res:1285.1,15955.0] || member(u,apply(intersection(sigma(powerset(v)),w),x)) -> member(f28(u,intersection(sigma(powerset(v)),w),x),v)*. % 299.97/300.36 23359[0:Res:1285.1,32.0] || member(u,apply(intersection(intersection(v,w),x),y)) -> member(f28(u,intersection(intersection(v,w),x),y),w)*. % 299.97/300.36 23358[0:Res:1285.1,31.0] || member(u,apply(intersection(intersection(v,w),x),y)) -> member(f28(u,intersection(intersection(v,w),x),y),v)*. % 299.97/300.36 23351[0:Res:1285.1,10964.0] || member(u,apply(intersection(complement(complement(v)),w),x)) -> member(f28(u,intersection(complement(complement(v)),w),x),v)*. % 299.97/300.36 23329[0:Res:1285.1,70.0] || member(u,apply(intersection(v,w),x)) subset(v,y) -> member(f28(u,intersection(v,w),x),y)*. % 299.97/300.36 23466[0:Res:1286.1,282.0] || member(u,apply(intersection(v,restrict(w,x)),y)) -> member(f28(u,intersection(v,restrict(w,x)),y),w)*. % 299.97/300.36 23464[0:Res:1286.1,15955.0] || member(u,apply(intersection(v,sigma(powerset(w))),x)) -> member(f28(u,intersection(v,sigma(powerset(w))),x),w)*. % 299.97/300.36 23460[0:Res:1286.1,32.0] || member(u,apply(intersection(v,intersection(w,x)),y)) -> member(f28(u,intersection(v,intersection(w,x)),y),x)*. % 299.97/300.36 23459[0:Res:1286.1,31.0] || member(u,apply(intersection(v,intersection(w,x)),y)) -> member(f28(u,intersection(v,intersection(w,x)),y),w)*. % 299.97/300.36 23452[0:Res:1286.1,10964.0] || member(u,apply(intersection(v,complement(complement(w))),x)) -> member(f28(u,intersection(v,complement(complement(w))),x),w)*. % 299.97/300.36 23430[0:Res:1286.1,70.0] || member(u,apply(intersection(v,w),x)) subset(w,y) -> member(f28(u,intersection(v,w),x),y)*. % 299.97/300.36 23975[0:SSi:23961.0,371.0] || equal(ordered_pair(second(u),first(u)),singleton_set(v))* member(u,converse(w))* disjoint(ordered_pair(v,x),w)* -> . % 299.97/300.36 24365[0:Rew:108.1,24308.2] || member(u,range_of(converse(v))) member(v,w) -> member(ordered_pair(u,first(f27(u,converse(v)))),sigma(w))*. % 299.97/300.36 24366[0:Rew:39.1,24304.2] || member(u,domain_of(converse(v))) member(v,w) -> member(ordered_pair(second(f8(u,converse(v))),u),sigma(w))*. % 299.97/300.36 24951[0:SSi:24942.0,11.0] little_set(u) || equal(non_ordered_pair(v,w),singleton_set(x))* equal(u,w)* -> member(u,sigma(ordered_pair(x,y)))*. % 299.97/300.36 25006[0:SSi:24998.0,11.0] little_set(u) || equal(non_ordered_pair(v,w),singleton_set(x))* equal(u,v)* -> member(u,sigma(ordered_pair(x,y)))*. % 299.97/300.36 25110[0:MRR:25090.0,5.0] || equal(f1(u,complement(singleton_set(v))),v) -> equal(u,complement(singleton_set(v))) member(f1(u,complement(singleton_set(v))),u)*. % 299.97/300.36 25111[0:MRR:25089.0,5.0] || subset(f1(u,complement(powerset(v))),v)* -> equal(u,complement(powerset(v))) member(f1(u,complement(powerset(v))),u)*. % 299.97/300.36 25178[0:MRR:25156.0,5.0] || equal(f1(complement(singleton_set(u)),v),u) -> equal(complement(singleton_set(u)),v) member(f1(complement(singleton_set(u)),v),v)*. % 299.97/300.36 25179[0:MRR:25155.0,5.0] || subset(f1(complement(powerset(u)),v),u)* -> equal(complement(powerset(u)),v) member(f1(complement(powerset(u)),v),v)*. % 299.97/300.36 25251[0:MRR:25233.0,5.0] || equal(f1(singleton_set(u),complement(v)),u) -> member(f1(singleton_set(u),complement(v)),v)* equal(singleton_set(u),complement(v)). % 299.97/300.36 25252[0:MRR:25232.0,5.0] || subset(f1(powerset(u),complement(v)),u)* -> member(f1(powerset(u),complement(v)),v)* equal(powerset(u),complement(v)). % 299.97/300.36 25408[0:Res:1544.2,547.0] || member(u,image(v,w)) subset(v,range_of(cross_product(x,y)))* -> member(first(f22(u,v,w)),y)*. % 299.97/300.36 25406[0:Res:1544.2,560.0] || member(u,image(v,w)) subset(v,domain_of(cross_product(x,y)))* -> member(first(f22(u,v,w)),x)*. % 299.97/300.36 25386[0:Res:1544.2,43.0] || member(u,image(v,w)) subset(v,cross_product(x,y))* -> member(second(first(f22(u,v,w))),y)*. % 299.97/300.36 25385[0:Res:1544.2,42.0] || member(u,image(v,w)) subset(v,cross_product(x,y))* -> member(first(first(f22(u,v,w))),x)*. % 299.97/300.36 25510[0:MRR:25489.0,1275.1] || equal(f28(u,v,w),singleton_set(x))* member(u,apply(v,w))* disjoint(ordered_pair(x,y),v)* -> . % 299.97/300.36 25644[0:MRR:25623.0,1340.1] || equal(f22(u,v,w),singleton_set(x))* member(u,image(v,w))* disjoint(ordered_pair(x,y),w)* -> . % 299.97/300.36 25779[0:Res:1344.1,34.1] || member(u,image(v,cross_product(complement(w),x))) member(first(f22(u,v,cross_product(complement(w),x))),w)* -> . % 299.97/300.36 25916[0:Res:1555.1,34.1] || member(u,image(intersection(complement(v),w),x)) member(first(f22(u,intersection(complement(v),w),x)),v)* -> . % 299.97/300.36 26073[0:Res:1556.1,34.1] || member(u,image(intersection(v,complement(w)),x)) member(first(f22(u,intersection(v,complement(w)),x)),w)* -> . % 299.97/300.36 26143[0:Res:1280.1,34.1] || member(u,apply(cross_product(v,complement(w)),x)) member(second(f28(u,cross_product(v,complement(w)),x)),w)* -> . % 299.97/300.36 26129[6:Res:1280.1,10804.1] || member(u,apply(cross_product(v,rotate_right(w)),x)) equal(second(f28(u,cross_product(v,rotate_right(w)),x)),universal_set)** -> . % 299.97/300.36 26127[6:Res:1280.1,10803.1] || member(u,apply(cross_product(v,flip_range_of(w)),x)) equal(second(f28(u,cross_product(v,flip_range_of(w)),x)),universal_set)** -> . % 299.97/300.36 26346[0:Res:561.1,3812.0] || closed(u,v) -> equal(w,range_of(v)) member(f1(w,range_of(v)),w)* member(f1(w,range_of(v)),u)*. % 299.97/300.36 26446[7:Res:26333.1,6192.1] || subset(universal_set,second(u))* member(u,v)* equal(first(u),w)* -> member(sigma(infinity),apply(v,w))*. % 299.97/300.36 26475[0:Res:561.1,3830.0] || closed(u,v) -> equal(range_of(v),w) member(f1(range_of(v),w),w)* member(f1(range_of(v),w),u)*. % 299.97/300.36 26801[0:Res:14043.1,1561.2] || disjoint(u,second(f28(v,w,x)))* member(v,apply(w,x)) member(v,intersection(y,u))* -> . % 299.97/300.36 26800[0:Res:14040.1,1561.2] || disjoint(u,second(f28(v,w,x)))* member(v,apply(w,x)) member(v,intersection(u,y))* -> . % 299.97/300.36 26799[0:Res:17151.1,1561.2] || disjoint(u,second(f28(v,w,x)))* member(v,apply(w,x)) member(v,restrict(u,y))* -> . % 299.97/300.36 26796[0:Res:13975.1,1561.2] || member(second(f28(u,v,w)),x)* member(u,apply(v,w)) member(u,complement(sigma(x))) -> . % 299.97/300.36 26877[0:MRR:26837.0,1545.1] || equal(first(f22(u,v,w)),x)* member(u,image(v,w)) disjoint(non_ordered_pair(y,x),v)* -> . % 299.97/300.36 26878[0:MRR:26836.0,1545.1] || equal(first(f22(u,v,w)),x)* member(u,image(v,w)) disjoint(non_ordered_pair(x,y),v)* -> . % 299.97/300.36 26976[7:Res:26830.1,1163.0] || disjoint(universal_set,complement(converse(u)))* member(u,v)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),sigma(v))*. % 299.97/300.36 27063[0:Res:1549.1,1444.0] || member(u,image(cross_product(singleton_set(v),w),x)) -> equal(first(first(f22(u,cross_product(singleton_set(v),w),x))),v)**. % 299.97/300.36 27062[0:Res:1549.1,76.0] || member(u,image(cross_product(powerset(v),w),x)) -> subset(first(first(f22(u,cross_product(powerset(v),w),x))),v)*. % 299.97/300.36 27061[6:Res:1549.1,10857.1] || member(u,image(cross_product(infinity,v),w)) equal(successor(first(first(f22(u,cross_product(infinity,v),w)))),universal_set)** -> . % 299.97/300.36 27121[7:Res:26831.1,1163.0] || disjoint(complement(converse(u)),universal_set)* member(u,v)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),sigma(v))*. % 299.97/300.36 27208[0:Res:1550.1,1444.0] || member(u,image(cross_product(v,singleton_set(w)),x)) -> equal(second(first(f22(u,cross_product(v,singleton_set(w)),x))),w)**. % 299.97/300.36 27207[0:Res:1550.1,76.0] || member(u,image(cross_product(v,powerset(w)),x)) -> subset(second(first(f22(u,cross_product(v,powerset(w)),x))),w)*. % 299.97/300.36 27206[6:Res:1550.1,10857.1] || member(u,image(cross_product(v,infinity),w)) equal(successor(second(first(f22(u,cross_product(v,infinity),w)))),universal_set)** -> . % 299.97/300.36 27290[0:Res:14043.1,3652.3] || disjoint(u,intersection(v,w))* member(x,w)* member(x,v)* member(x,intersection(y,u))* -> . % 299.97/300.36 27289[0:Res:14040.1,3652.3] || disjoint(u,intersection(v,w))* member(x,w)* member(x,v)* member(x,intersection(u,y))* -> . % 299.97/300.36 27288[0:Res:17151.1,3652.3] || disjoint(u,intersection(v,w))* member(x,w)* member(x,v)* member(x,restrict(u,y))* -> . % 299.97/300.36 27285[0:Res:13975.1,3652.3] || member(intersection(u,v),w)* member(x,v)* member(x,u)* member(x,complement(sigma(w)))* -> . % 299.97/300.36 28347[0:MRR:28304.0,5.0] || equal(f1(u,v),w)* disjoint(non_ordered_pair(x,w),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.36 28348[0:MRR:28303.0,5.0] || equal(f1(u,v),w)* disjoint(non_ordered_pair(w,x),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.36 28722[0:MRR:28676.0,5.0] || equal(f1(u,v),w)* disjoint(non_ordered_pair(x,w),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.36 28723[0:MRR:28675.0,5.0] || equal(f1(u,v),w)* disjoint(non_ordered_pair(w,x),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.36 29666[3:SoR:6223.0,16011.1] || member(u,v) member(first(u),w) equal(second(u),infinity) -> member(second(u),image(w,v))*. % 299.97/300.36 29772[7:Res:26333.1,5019.1] || subset(universal_set,f4(u,v))* member(u,first(v)) equal(w,v)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30185[7:Res:26333.1,5020.1] || subset(universal_set,f6(u,v))* member(u,second(v)) equal(w,v)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30296[7:Res:26333.1,5022.1] || subset(universal_set,f9(u,v))* member(u,rotate_right(v)) equal(w,u)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30439[7:Res:26333.1,5024.1] || subset(universal_set,f12(u,v))* member(u,flip_range_of(v)) equal(w,u)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30592[7:Res:26333.1,5064.1] || subset(universal_set,f5(u,v))* member(u,first(v)) equal(w,v)* -> member(sigma(infinity),second(w))*. % 299.97/300.36 30749[7:Res:26333.1,5065.1] || subset(universal_set,f7(u,v))* member(u,second(v)) equal(w,v)* -> member(sigma(infinity),second(w))*. % 299.97/300.36 31012[0:Obv:30983.2] || member(u,v)* disjoint(v,w)* -> equal(f23(non_ordered_pair(u,x),w),x)** disjoint(non_ordered_pair(u,x),w). % 299.97/300.36 31013[0:Obv:30978.2] || member(u,v)* disjoint(v,w)* -> equal(f23(non_ordered_pair(x,u),w),x)** disjoint(non_ordered_pair(x,u),w). % 299.97/300.36 31014[0:Obv:30973.1] || member(u,v)* -> equal(f23(non_ordered_pair(w,x),u),x)** disjoint(non_ordered_pair(w,x),u) member(w,sigma(v))*. % 299.97/300.36 31017[0:Obv:30953.1] || member(u,v)* -> equal(f23(non_ordered_pair(w,x),u),w)** disjoint(non_ordered_pair(w,x),u) member(x,sigma(v))*. % 299.97/300.36 31027[0:Obv:30971.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),v)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) member(first(u),w). % 299.97/300.36 31028[0:Obv:30970.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),v)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) member(second(u),x). % 299.97/300.36 31031[0:Obv:30951.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),u)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) member(first(v),w). % 299.97/300.36 31032[0:Obv:30950.0] || -> equal(f23(non_ordered_pair(u,v),cross_product(w,x)),u)** disjoint(non_ordered_pair(u,v),cross_product(w,x)) member(second(v),x). % 299.97/300.36 31149[0:Obv:31119.2] || member(u,v)* disjoint(v,w)* -> equal(f23(w,non_ordered_pair(u,x)),x)** disjoint(w,non_ordered_pair(u,x)). % 299.97/300.36 31150[0:Obv:31114.2] || member(u,v)* disjoint(v,w)* -> equal(f23(w,non_ordered_pair(x,u)),x)** disjoint(w,non_ordered_pair(x,u)). % 299.97/300.36 31151[0:Obv:31101.1] || member(u,v)* -> equal(f23(u,non_ordered_pair(w,x)),x)** disjoint(u,non_ordered_pair(w,x)) member(w,sigma(v))*. % 299.97/300.36 31154[0:Obv:31079.1] || member(u,v)* -> equal(f23(u,non_ordered_pair(w,x)),w)** disjoint(u,non_ordered_pair(w,x)) member(x,sigma(v))*. % 299.97/300.36 31163[0:Obv:31110.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),x)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) member(first(w),u). % 299.97/300.36 31164[0:Obv:31109.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),x)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) member(second(w),v). % 299.97/300.36 31167[0:Obv:31088.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),w)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) member(first(x),u). % 299.97/300.36 31168[0:Obv:31087.0] || -> equal(f23(cross_product(u,v),non_ordered_pair(w,x)),w)** disjoint(cross_product(u,v),non_ordered_pair(w,x)) member(second(x),v). % 299.97/300.36 31277[0:Obv:31254.1] || equal(u,v) -> equal(f17(non_ordered_pair(u,w),non_ordered_pair(v,x)),w)** subset(non_ordered_pair(u,w),non_ordered_pair(v,x)). % 299.97/300.36 31278[0:Obv:31253.1] || equal(u,v) -> equal(f17(non_ordered_pair(u,w),non_ordered_pair(x,v)),w)** subset(non_ordered_pair(u,w),non_ordered_pair(x,v)). % 299.97/300.36 31280[0:Obv:31248.1] || equal(u,v) -> equal(f17(non_ordered_pair(w,u),non_ordered_pair(v,x)),w)** subset(non_ordered_pair(w,u),non_ordered_pair(v,x)). % 299.97/300.36 31281[0:Obv:31247.1] || equal(u,v) -> equal(f17(non_ordered_pair(w,u),non_ordered_pair(x,v)),w)** subset(non_ordered_pair(w,u),non_ordered_pair(x,v)). % 299.97/300.36 32172[2:Res:1008.2,20934.0] || member(u,range_of(v)) member(f27(u,v),converse(range_of(cross_product(ordered_pair(u,first(f27(u,v))),w))))* -> . % 299.97/300.36 32343[2:Res:1007.2,20934.0] || member(u,domain_of(v)) member(f8(u,v),converse(range_of(cross_product(ordered_pair(second(f8(u,v)),u),w))))* -> . % 299.97/300.36 32788[2:Res:3836.2,10966.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* member(second(f1(cross_product(u,v),w)),universal_set)*. % 299.97/300.36 32953[2:Res:3835.2,10966.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* member(first(f1(cross_product(u,v),w)),universal_set)*. % 299.97/300.36 33124[2:Res:3818.2,10966.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* member(second(f1(u,cross_product(v,w))),universal_set)*. % 299.97/300.36 33290[2:Res:3817.2,10966.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* member(first(f1(u,cross_product(v,w))),universal_set)*. % 299.97/300.36 33395[7:Res:33376.1,1163.0] || member(universal_set,powerset(converse(u)))* member(u,v)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),sigma(v))*. % 299.97/300.36 34399[0:Res:1134.1,1438.0] || member(set_a,non_ordered_pair(u,v)) -> equal(f16(a,non_ordered_pair(u,v)),v)** equal(f16(a,non_ordered_pair(u,v)),u)**. % 299.97/300.36 35367[2:Res:4273.2,17597.0] || member(u,compose(v,w)) subset(w,image(ordered_pair(f31(u,v,w),f30(u,v,w)),x))* -> . % 299.97/300.36 35487[2:Res:4348.2,17597.0] || member(u,compose(v,w)) subset(v,image(ordered_pair(f29(u,v,w),f31(u,v,w)),x))* -> . % 299.97/300.36 35607[3:SSi:35565.0,63.0,15957.0] || member(ordered_pair(second(infinity),first(infinity)),sigma(u)) disjoint(universal_set,converse(f16(ordered_pair(second(infinity),first(infinity)),u)))* -> . % 299.97/300.36 35610[3:SSi:35553.0,159.0,991.0] || member(ordered_pair(second(a),first(a)),sigma(u)) disjoint(converse(f16(ordered_pair(second(a),first(a)),u)),set_a)* -> . % 299.97/300.36 35766[3:SSi:35724.0,63.0,15957.0] || member(ordered_pair(second(infinity),first(infinity)),first(u)) disjoint(universal_set,converse(f4(ordered_pair(second(infinity),first(infinity)),u)))* -> . % 299.97/300.36 35769[3:SSi:35712.0,159.0,991.0] || member(ordered_pair(second(a),first(a)),first(u)) disjoint(converse(f4(ordered_pair(second(a),first(a)),u)),set_a)* -> . % 299.97/300.36 35985[3:SSi:35943.0,63.0,15957.0] || member(ordered_pair(second(infinity),first(infinity)),second(u)) disjoint(universal_set,converse(f7(ordered_pair(second(infinity),first(infinity)),u)))* -> . % 299.97/300.36 35988[3:SSi:35931.0,159.0,991.0] || member(ordered_pair(second(a),first(a)),second(u)) disjoint(converse(f7(ordered_pair(second(a),first(a)),u)),set_a)* -> . % 299.97/300.36 36357[0:Obv:36349.1] little_set(u) || subset(v,w)* member(x,domain_of(v))* equal(u,x)* -> member(u,domain_of(w))*. % 299.97/300.36 36518[0:Obv:36510.1] little_set(u) || subset(v,w)* member(x,range_of(v))* equal(u,x)* -> member(u,range_of(w))*. % 299.97/300.36 36600[2:Res:4622.2,17676.0] || member(u,flip_range_of(v)) subset(v,apply_to_two_arguments(w,f12(u,v),ordered_pair(f14(u,v),f13(u,v))))* -> . % 299.97/300.36 37028[2:Res:4770.2,17676.0] || member(u,rotate_right(v)) subset(v,apply_to_two_arguments(w,f10(u,v),ordered_pair(f11(u,v),f9(u,v))))* -> . % 299.97/300.36 38395[0:Obv:38388.0] || member(u,v)* member(w,apply(u,x))* equal(x,y)* -> member(w,apply(sigma(v),y))*. % 299.97/300.36 40686[2:Res:25246.0,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(complement(f3(u)),universal_set) member(f1(universal_set,complement(f3(u))),second(v))*. % 299.97/300.36 40685[2:Res:25246.0,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(complement(f2(u)),universal_set) member(f1(universal_set,complement(f2(u))),first(v))*. % 299.97/300.36 43606[14:Res:42571.1,1009.0] || subset(universal_set,converse(u))* subset(u,v)* -> member(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),v)*. % 299.97/300.36 43823[3:Res:6214.3,17668.0] || member(u,image(v,second(w)))* member(w,x)* equal(f22(u,v,second(w)),first(w)) -> . % 299.97/300.36 43883[3:Res:6215.3,17668.0] || member(u,apply(second(v),w))* member(v,x)* equal(f28(u,second(v),w),first(v)) -> . % 299.97/300.36 44000[0:Obv:43959.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)** single_valued_set(non_ordered_pair(u,v)) member(u,non_ordered_pair(u,v)). % 299.97/300.36 44001[0:Obv:43935.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u)** single_valued_set(non_ordered_pair(u,v)) member(v,non_ordered_pair(u,v)). % 299.97/300.36 44144[0:Obv:44103.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)** single_valued_set(non_ordered_pair(u,v)) member(u,non_ordered_pair(u,v)). % 299.97/300.36 44145[0:Obv:44079.0] || -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u)** single_valued_set(non_ordered_pair(u,v)) member(v,non_ordered_pair(u,v)). % 299.97/300.36 59549[16:Rew:375.0,59548.1] || member(second(singleton_set(singleton_set(a))),u)* member(first(singleton_set(singleton_set(a))),v)* disjoint(universal_set,cross_product(v,u))* -> . % 299.97/300.36 59552[16:Rew:375.0,59551.0] || member(singleton_set(singleton_set(a)),cross_product(u,universal_set))* member(singleton_set(singleton_set(a)),v)* disjoint(universal_set,restrict(v,u))* -> . % 299.97/300.36 55234[16:Rew:54986.0,49147.2] || equal(u,f1(cross_product(v,w),rotate_right(x)))* -> equal(cross_product(v,w),rotate_right(x)) member(a,v) ordered_pair_predicate(u)*. % 299.97/300.36 55235[16:Rew:54986.0,49146.2] || equal(u,f1(cross_product(v,w),flip_range_of(x)))* -> equal(cross_product(v,w),flip_range_of(x)) member(a,v) ordered_pair_predicate(u)*. % 299.97/300.36 55453[16:Rew:54986.0,48682.2] || subset(non_ordered_pair(u,v),w)* -> equal(f24(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) member(u,w). % 299.97/300.36 55454[16:Rew:54986.0,48681.2] || subset(non_ordered_pair(u,v),w)* -> equal(f24(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) member(v,w). % 299.97/300.36 55455[16:Rew:54986.0,48664.2] || subset(non_ordered_pair(u,v),w)* -> equal(f26(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) member(u,w). % 299.97/300.36 55456[16:Rew:54986.0,48663.2] || subset(non_ordered_pair(u,v),w)* -> equal(f26(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) member(v,w). % 299.97/300.36 59553[16:Rew:54986.0,55662.1] || member(ordered_pair(second(a),first(a)),sigma(u)) disjoint(converse(f16(ordered_pair(second(a),first(a)),u)),infinity)* -> . % 299.97/300.36 59554[16:Rew:54986.0,55663.1] || member(ordered_pair(second(a),first(a)),sigma(u)) disjoint(universal_set,converse(f16(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 59555[16:Rew:54986.0,55664.1] || member(ordered_pair(second(a),first(a)),sigma(u)) disjoint(converse(f16(ordered_pair(second(a),first(a)),u)),set_b)* -> . % 299.97/300.36 59556[16:Rew:54986.0,55665.1] || member(ordered_pair(second(a),first(a)),first(u)) disjoint(converse(f4(ordered_pair(second(a),first(a)),u)),infinity)* -> . % 299.97/300.36 59557[16:Rew:54986.0,55666.1] || member(ordered_pair(second(a),first(a)),first(u)) disjoint(universal_set,converse(f4(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 59558[16:Rew:54986.0,55667.1] || member(ordered_pair(second(a),first(a)),first(u)) disjoint(converse(f4(ordered_pair(second(a),first(a)),u)),set_b)* -> . % 299.97/300.36 59559[16:Rew:54986.0,55668.1] || member(ordered_pair(second(a),first(a)),second(u)) disjoint(converse(f7(ordered_pair(second(a),first(a)),u)),infinity)* -> . % 299.97/300.36 59560[16:Rew:54986.0,55669.1] || member(ordered_pair(second(a),first(a)),second(u)) disjoint(universal_set,converse(f7(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 59561[16:Rew:54986.0,55670.1] || member(ordered_pair(second(a),first(a)),second(u)) disjoint(converse(f7(ordered_pair(second(a),first(a)),u)),set_b)* -> . % 299.97/300.36 55753[16:Rew:54986.0,49789.3] || member(u,v) equal(first(u),w) disjoint(apply(v,w),second(u))* -> equal(second(u),a). % 299.97/300.36 55770[16:Rew:54986.0,50895.0] || -> equal(ordered_pair(u,v),a) equal(f24(ordered_pair(u,v)),non_ordered_pair(u,v))** equal(f24(ordered_pair(u,v)),singleton_set(u)). % 299.97/300.36 55771[16:Rew:54986.0,50892.0] || -> equal(ordered_pair(u,v),a) equal(f26(ordered_pair(u,v)),non_ordered_pair(u,v))** equal(f26(ordered_pair(u,v)),singleton_set(u)). % 299.97/300.36 55994[16:Rew:54986.0,48959.3] little_set(u) || subset(u,second(f8(f26(u),v)))* member(f26(u),domain_of(v)) -> equal(u,a). % 299.97/300.36 55995[16:Rew:54986.0,48958.2] little_set(u) || subset(u,non_ordered_pair(v,w))* -> equal(u,a) equal(f26(u),w) equal(f26(u),v). % 299.97/300.36 55996[16:Rew:54986.0,48923.1] || subset(u,converse(cross_product(v,w)))* -> equal(u,a) member(first(ordered_pair(second(f24(u)),first(f24(u)))),v)*. % 299.97/300.36 55997[16:Rew:54986.0,48921.1] || subset(u,converse(cross_product(v,w)))* -> equal(u,a) member(second(ordered_pair(second(f24(u)),first(f24(u)))),w)*. % 299.97/300.36 59562[16:Rew:54986.0,55998.3] little_set(u) single_valued_set(v) || subset(f25,v) member(ordered_pair(powerset(a),u),v)* -> equal(u,a). % 299.97/300.36 59563[16:Rew:54986.0,55999.3] little_set(u) single_valued_set(v) || subset(universal_set,v) member(ordered_pair(powerset(a),u),v)* -> equal(u,a). % 299.97/300.36 56000[16:Rew:54986.0,48917.3] little_set(u) || disjoint(intersection(complement(v),complement(w)),u)* -> member(f26(u),union(v,w)) equal(u,a). % 299.97/300.36 56001[16:Rew:54986.0,48903.1] || subset(u,ordered_pair(v,w))* -> equal(u,a) equal(f24(u),non_ordered_pair(v,w)) equal(f24(u),singleton_set(v)). % 299.97/300.36 56002[16:Rew:54986.0,48882.2] little_set(u) || subset(f25,image(v,cross_product(w,x)))* -> equal(u,a) member(ordered_pair(u,f26(u)),x)*. % 299.97/300.36 56003[16:Rew:54986.0,48881.2] little_set(u) || subset(f25,restrict(v,w))* -> equal(u,a) member(ordered_pair(u,f26(u)),cross_product(w,universal_set))*. % 299.97/300.36 56004[16:Rew:54986.0,48880.3] little_set(u) || subset(f25,rotate_right(v))* equal(w,ordered_pair(u,f26(u)))* -> equal(u,a) ordered_pair_predicate(w)*. % 299.97/300.36 56005[16:Rew:54986.0,48879.3] little_set(u) || subset(f25,flip_range_of(v))* equal(w,ordered_pair(u,f26(u)))* -> equal(u,a) ordered_pair_predicate(w)*. % 299.97/300.36 56006[16:Rew:54986.0,48878.3] little_set(u) || subset(f25,v)* subset(v,w)* -> equal(u,a) member(ordered_pair(u,f26(u)),w)*. % 299.97/300.36 56007[16:Rew:54986.0,48841.3] little_set(u) || equal(ordered_pair(u,f26(u)),singleton_set(v))* disjoint(ordered_pair(v,w),f25)* -> equal(u,a). % 299.97/300.36 56009[16:Rew:54986.0,48809.0] || -> equal(u,a) equal(v,f24(u)) member(f1(v,f24(u)),v)* member(f1(v,f24(u)),sigma(u))*. % 299.97/300.36 56012[16:Rew:54986.0,48794.0] || -> equal(u,a) equal(f24(u),v) member(f1(f24(u),v),v)* member(f1(f24(u),v),sigma(u))*. % 299.97/300.36 59564[16:Rew:54986.0,56257.2] || member(infinity,non_ordered_pair(u,v)) -> equal(f16(a,non_ordered_pair(u,v)),v)** equal(f16(a,non_ordered_pair(u,v)),u)**. % 299.97/300.36 59565[16:Rew:54986.0,56258.2] || subset(universal_set,non_ordered_pair(u,v)) -> equal(f16(a,non_ordered_pair(u,v)),v)** equal(f16(a,non_ordered_pair(u,v)),u)**. % 299.97/300.36 59566[16:Rew:54986.0,56259.2] || subset(infinity,non_ordered_pair(u,v)) -> equal(f16(a,non_ordered_pair(u,v)),v)** equal(f16(a,non_ordered_pair(u,v)),u)**. % 299.97/300.36 59567[16:Rew:54986.0,56260.2] || member(set_b,non_ordered_pair(u,v)) -> equal(f16(a,non_ordered_pair(u,v)),v)** equal(f16(a,non_ordered_pair(u,v)),u)**. % 299.97/300.36 56495[16:Rew:54986.0,49491.2] || disjoint(universal_set,complement(converse(u)))* member(u,v)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),sigma(v))*. % 299.97/300.36 56496[16:Rew:54986.0,49490.2] || disjoint(complement(converse(u)),universal_set)* member(u,v)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),sigma(v))*. % 299.97/300.36 56497[16:Rew:54986.0,49489.2] || member(universal_set,powerset(converse(u)))* member(u,v)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),sigma(v))*. % 299.97/300.36 56590[16:Rew:54986.0,49583.3] || subset(universal_set,second(u))* member(u,v)* equal(first(u),w)* -> member(singleton_set(a),apply(v,w))*. % 299.97/300.36 56603[16:Rew:54986.0,49600.3] || subset(universal_set,f4(u,v))* member(u,first(v)) equal(w,v)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56604[16:Rew:54986.0,49597.3] || subset(universal_set,f6(u,v))* member(u,second(v)) equal(w,v)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56605[16:Rew:54986.0,49594.3] || subset(universal_set,f9(u,v))* member(u,rotate_right(v)) equal(w,u)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56606[16:Rew:54986.0,49591.3] || subset(universal_set,f12(u,v))* member(u,flip_range_of(v)) equal(w,u)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56621[16:Rew:54986.0,49616.3] || subset(universal_set,f5(u,v))* member(u,first(v)) equal(w,v)* -> member(singleton_set(a),second(w))*. % 299.97/300.36 56622[16:Rew:54986.0,49613.3] || subset(universal_set,f7(u,v))* member(u,second(v)) equal(w,v)* -> member(singleton_set(a),second(w))*. % 299.97/300.36 56819[16:Rew:54986.0,50407.2] || disjoint(universal_set,complement(converse(u)))* member(u,v)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),sigma(v))*. % 299.97/300.36 56820[16:Rew:54986.0,50406.2] || disjoint(complement(converse(u)),universal_set)* member(u,v)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),sigma(v))*. % 299.97/300.36 56821[16:Rew:54986.0,50405.2] || member(universal_set,powerset(converse(u)))* member(u,v)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),sigma(v))*. % 299.97/300.36 59568[16:Rew:54986.0,56833.3] || member(second(u),v)* member(first(u),w)* member(u,powerset(a)) -> member(a,cross_product(w,v))*. % 299.97/300.36 56933[16:Rew:54986.0,50450.3] || subset(universal_set,second(u))* member(u,v)* equal(first(u),w)* -> member(powerset(a),apply(v,w))*. % 299.97/300.36 56946[16:Rew:54986.0,50521.3] || subset(universal_set,f4(u,v))* member(u,first(v)) equal(w,v)* -> member(powerset(a),first(w))*. % 299.97/300.36 56947[16:Rew:54986.0,50517.3] || subset(universal_set,f6(u,v))* member(u,second(v)) equal(w,v)* -> member(powerset(a),first(w))*. % 299.97/300.36 56948[16:Rew:54986.0,50513.3] || subset(universal_set,f9(u,v))* member(u,rotate_right(v)) equal(w,u)* -> member(powerset(a),first(w))*. % 299.97/300.36 56949[16:Rew:54986.0,50509.3] || subset(universal_set,f12(u,v))* member(u,flip_range_of(v)) equal(w,u)* -> member(powerset(a),first(w))*. % 299.97/300.36 56964[16:Rew:54986.0,50537.3] || subset(universal_set,f5(u,v))* member(u,first(v)) equal(w,v)* -> member(powerset(a),second(w))*. % 299.97/300.36 56965[16:Rew:54986.0,50533.3] || subset(universal_set,f7(u,v))* member(u,second(v)) equal(w,v)* -> member(powerset(a),second(w))*. % 299.97/300.36 59569[16:Rew:54986.0,56966.1] || member(u,compose(v,powerset(a))) -> equal(ordered_pair(f31(u,v,powerset(a)),f30(u,v,powerset(a))),a)**. % 299.97/300.36 59570[16:Rew:54986.0,56967.1] || member(u,compose(powerset(a),v)) -> equal(ordered_pair(f29(u,powerset(a),v),f31(u,powerset(a),v)),a)**. % 299.97/300.36 59571[16:Rew:54986.0,57012.1] || equal(f1(universal_set,a),cross_product(u,v)) -> equal(cross_product(u,v),a) member(second(f26(cross_product(u,v))),v)*. % 299.97/300.36 59572[16:Rew:54986.0,57013.1] || equal(f1(universal_set,a),cross_product(u,v)) -> equal(cross_product(u,v),a) member(first(f26(cross_product(u,v))),u)*. % 299.97/300.36 57213[16:Rew:54986.0,50658.1] || subset(f25,converse(intersection(u,v)))* -> member(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),u)*. % 299.97/300.36 57214[16:Rew:54986.0,50657.1] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),u)*. % 299.97/300.36 57217[16:Rew:54986.0,50662.1] || subset(f25,converse(intersection(u,v)))* -> member(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),v)*. % 299.97/300.36 57218[16:Rew:54986.0,50661.1] || subset(universal_set,converse(intersection(u,v)))* -> member(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),v)*. % 299.97/300.36 57387[16:Rew:54986.0,50087.1] || member(u,v) -> equal(converse(u),a) member(ordered_pair(second(f24(converse(u))),first(f24(converse(u)))),sigma(v))*. % 299.97/300.36 59577[16:Rew:54986.0,57762.1] || member(u,apply(union(v,a),w)) member(f28(u,union(v,a),w),intersection(complement(v),universal_set))* -> . % 299.97/300.36 59578[16:Rew:54986.0,57790.1] || member(u,apply(union(a,v),w)) member(f28(u,union(a,v),w),intersection(universal_set,complement(v)))* -> . % 299.97/300.36 57864[16:Rew:54986.0,49756.3] ordered_pair_predicate(u) || subset(v,f2(u))* equal(w,u)* -> equal(v,a) member(f24(v),first(w))*. % 299.97/300.36 57865[16:Rew:54986.0,49755.3] ordered_pair_predicate(u) || subset(v,f3(u))* equal(w,u)* -> equal(v,a) member(f24(v),second(w))*. % 299.97/300.36 58015[16:Rew:54986.0,50945.2] || equal(u,f1(cross_product(v,w),rotate_right(x)))* -> equal(cross_product(v,w),rotate_right(x)) member(a,w) ordered_pair_predicate(u)*. % 299.97/300.36 58016[16:Rew:54986.0,50944.2] || equal(u,f1(cross_product(v,w),flip_range_of(x)))* -> equal(cross_product(v,w),flip_range_of(x)) member(a,w) ordered_pair_predicate(u)*. % 299.97/300.36 58017[16:Rew:54986.0,50942.2] || equal(u,f1(rotate_right(v),cross_product(w,x)))* -> equal(rotate_right(v),cross_product(w,x)) member(a,w) ordered_pair_predicate(u)*. % 299.97/300.36 58018[16:Rew:54986.0,50941.2] || equal(u,f1(flip_range_of(v),cross_product(w,x)))* -> equal(flip_range_of(v),cross_product(w,x)) member(a,w) ordered_pair_predicate(u)*. % 299.97/300.36 59579[16:Rew:54986.0,58283.1] || member(u,image(v,union(w,a))) member(f22(u,v,union(w,a)),intersection(complement(w),universal_set))* -> . % 299.97/300.36 59580[16:Rew:54986.0,58289.1] || member(u,image(v,union(a,w))) member(f22(u,v,union(a,w)),intersection(universal_set,complement(w)))* -> . % 299.97/300.36 58338[16:Rew:54986.0,50961.2] little_set(u) || equal(u,v) -> equal(singleton_set(non_ordered_pair(w,v)),a) member(u,sigma(singleton_set(non_ordered_pair(w,v))))*. % 299.97/300.36 58340[16:Rew:54986.0,50972.2] little_set(u) || equal(u,v) -> equal(singleton_set(non_ordered_pair(v,w)),a) member(u,sigma(singleton_set(non_ordered_pair(v,w))))*. % 299.97/300.36 58380[16:Rew:54986.0,51102.2] || member(ordered_pair(universal_set,u),cross_product(v,universal_set))* member(ordered_pair(universal_set,u),w)* -> member(a,sigma(restrict(w,v)))*. % 299.97/300.36 58400[16:Rew:54986.0,49728.1] ordered_pair_predicate(u) || -> equal(singleton_set(ordered_pair(second(u),first(u))),a) member(u,converse(singleton_set(ordered_pair(second(u),first(u)))))*. % 299.97/300.36 58417[16:Rew:54986.0,50116.0] || -> equal(intersection(converse(u),v),a) ordered_pair_predicate(ordered_pair(second(f24(intersection(converse(u),v))),first(f24(intersection(converse(u),v)))))*. % 299.97/300.36 58418[16:Rew:54986.0,50132.0] || -> equal(intersection(u,converse(v)),a) ordered_pair_predicate(ordered_pair(second(f24(intersection(u,converse(v)))),first(f24(intersection(u,converse(v))))))*. % 299.97/300.36 58419[16:Rew:54986.0,50179.0] || -> equal(cross_product(u,image(v,cross_product(w,x))),a) member(second(f24(cross_product(u,image(v,cross_product(w,x))))),x)*. % 299.97/300.36 58420[16:Rew:54986.0,50200.0] || -> equal(cross_product(image(u,cross_product(v,w)),x),a) member(first(f24(cross_product(image(u,cross_product(v,w)),x))),w)*. % 299.97/300.36 58423[16:Rew:54986.0,50792.2] || equal(u,f1(rotate_right(v),cross_product(w,x)))* -> equal(rotate_right(v),cross_product(w,x)) member(a,x) ordered_pair_predicate(u)*. % 299.97/300.36 58424[16:Rew:54986.0,50791.2] || equal(u,f1(flip_range_of(v),cross_product(w,x)))* -> equal(flip_range_of(v),cross_product(w,x)) member(a,x) ordered_pair_predicate(u)*. % 299.97/300.36 58426[16:Rew:54986.0,50860.2] || member(second(ordered_pair(universal_set,u)),v)* member(first(ordered_pair(universal_set,u)),w)* -> member(a,sigma(cross_product(w,v)))*. % 299.97/300.36 58427[16:Rew:54986.0,51117.0] || equal(first(f22(u,complement(ordered_pair(universal_set,v)),w)),a)** member(u,image(complement(ordered_pair(universal_set,v)),w)) -> . % 299.97/300.36 58428[16:Rew:54986.0,51119.2] little_set(u) || equal(u,intersection(v,w))* -> equal(intersection(v,w),a) member(f26(intersection(v,w)),v)*. % 299.97/300.36 58429[16:Rew:54986.0,51118.2] little_set(u) || equal(u,intersection(v,w))* -> equal(intersection(v,w),a) member(f26(intersection(v,w)),w)*. % 299.97/300.36 58430[16:Rew:54986.0,51230.0] || equal(first(f22(u,v,w)),a)** member(u,image(v,w)) disjoint(ordered_pair(universal_set,x),v)* -> . % 299.97/300.36 58431[16:Rew:54986.0,51229.1] || member(u,image(v,w)) -> equal(first(f22(u,v,w)),a) ordered_pair_predicate(f26(first(f22(u,v,w))))*. % 299.97/300.36 58432[16:Rew:54986.0,51232.3] || member(u,v) member(u,w) member(u,f24(intersection(w,v)))* -> equal(intersection(w,v),a). % 299.97/300.36 59581[16:Rew:54986.0,58433.3] || equal(singleton_set(f13(u,v)),a)** member(u,flip_range_of(v)) equal(w,u)* -> member(a,second(w))*. % 299.97/300.36 59582[16:Rew:54986.0,58434.0] || equal(singleton_set(f10(u,v)),a)** member(u,rotate_right(v)) equal(w,u)* -> member(a,second(w))*. % 299.97/300.36 58435[16:Rew:54986.0,51497.2] || member(u,converse(powerset(f25))) -> single_valued_set(ordered_pair(second(u),first(u))) equal(f19(ordered_pair(second(u),first(u))),a)**. % 299.97/300.36 58436[16:Rew:54986.0,51576.0] || -> member(a,sigma(complement(ordered_pair(u,v))))* equal(ordered_pair(universal_set,w),non_ordered_pair(u,v))* equal(ordered_pair(universal_set,w),singleton_set(u)). % 299.97/300.36 58437[16:Rew:54986.0,51578.0] || -> member(a,sigma(complement(converse(cross_product(u,v)))))* member(first(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w)))),u)*. % 299.97/300.36 58438[16:Rew:54986.0,51577.0] || -> member(a,sigma(complement(converse(cross_product(u,v)))))* member(second(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w)))),v)*. % 299.97/300.36 65876[0:SSi:65849.0,371.0] little_set(u) single_valued_set(universal_set) || member(v,first(w))* member(w,universal_set) -> equal(u,f5(v,w))*. % 299.97/300.36 65997[0:SSi:65970.0,371.0] little_set(u) single_valued_set(universal_set) || member(v,second(w))* member(w,universal_set) -> equal(u,f7(v,w))*. % 299.97/300.36 66096[0:SSi:66074.0,371.0] little_set(u) single_valued_set(universal_set) || member(v,rotate_right(universal_set)) -> equal(u,ordered_pair(f11(v,universal_set),f9(v,universal_set)))*. % 299.97/300.36 66192[0:SSi:66170.0,371.0] little_set(u) single_valued_set(universal_set) || member(v,flip_range_of(universal_set)) -> equal(u,ordered_pair(f14(v,universal_set),f13(v,universal_set)))*. % 299.97/300.36 66354[0:MRR:66299.0,66299.1,83.1,84.1] little_set(u) || member(ordered_pair(u,f19(v)),w) -> single_valued_set(v) member(ordered_pair(u,f20(v)),compose(w,v))*. % 299.97/300.36 66355[0:MRR:66298.0,66298.1,83.1,85.1] little_set(u) || member(ordered_pair(u,f19(v)),w) -> single_valued_set(v) member(ordered_pair(u,f21(v)),compose(w,v))*. % 299.97/300.36 67214[0:Obv:67204.1] little_set(u) || subset(v,w)* member(x,rotate_right(v))* equal(u,x)* -> member(u,rotate_right(w))*. % 299.97/300.36 67426[0:Obv:67416.1] little_set(u) || subset(v,w)* member(x,flip_range_of(v))* equal(u,x)* -> member(u,flip_range_of(w))*. % 299.97/300.36 68415[2:MRR:68414.3,10966.1] little_set(u) single_valued_set(universal_set) || member(v,rotate_right(w)) -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 299.97/300.36 68670[2:MRR:68669.3,10966.1] little_set(u) single_valued_set(universal_set) || member(v,flip_range_of(w)) -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 299.97/300.36 78633[16:Res:94.1,56189.0] || member(u,image(v,w)) -> equal(first(f22(u,v,w)),a) little_set(f26(first(f22(u,v,w))))*. % 299.97/300.36 82679[3:Res:82575.0,6198.3] || member(second(u),v)* member(first(u),w)* member(u,singleton_set(x))* -> member(x,cross_product(w,v))*. % 299.97/300.36 82799[16:Res:82637.1,4120.1] || equal(ordered_pair(second(f8(u,v)),u),a)** member(u,domain_of(v)) -> member(f8(u,v),converse(set_b)). % 299.97/300.36 82798[16:Res:82637.1,4119.1] || equal(ordered_pair(u,first(f27(u,v))),a)** member(u,range_of(v)) -> member(f27(u,v),converse(set_b)). % 299.97/300.36 82952[3:Res:82638.1,4120.1] || equal(ordered_pair(second(f8(u,v)),u),a)** member(u,domain_of(v)) -> member(f8(u,v),converse(set_a)). % 299.97/300.36 82951[3:Res:82638.1,4119.1] || equal(ordered_pair(u,first(f27(u,v))),a)** member(u,range_of(v)) -> member(f27(u,v),converse(set_a)). % 299.97/300.36 83106[16:Res:82641.1,4120.1] || equal(ordered_pair(second(f8(u,v)),u),a)** member(u,domain_of(v)) -> member(f8(u,v),converse(infinity)). % 299.97/300.36 83105[16:Res:82641.1,4119.1] || equal(ordered_pair(u,first(f27(u,v))),a)** member(u,range_of(v)) -> member(f27(u,v),converse(infinity)). % 299.97/300.36 84024[16:Res:1544.2,83606.1] || member(u,image(v,w)) subset(v,f24(powerset(x))) subset(first(f22(u,v,w)),x)* -> . % 299.97/300.36 84012[16:Res:557.1,83606.1] || member(u,range_of(cross_product(f24(powerset(v)),w))) subset(first(f27(u,cross_product(f24(powerset(v)),w))),v)* -> . % 299.97/300.36 84011[16:Res:558.1,83606.1] || member(u,sigma(cross_product(f24(powerset(v)),w))) subset(first(f16(u,cross_product(f24(powerset(v)),w))),v)* -> . % 299.97/300.36 83950[16:Res:545.1,83606.1] || member(u,sigma(cross_product(v,f24(powerset(w))))) subset(second(f16(u,cross_product(v,f24(powerset(w))))),w)* -> . % 299.97/300.36 83949[16:Res:546.1,83606.1] || member(u,domain_of(cross_product(v,f24(powerset(w))))) subset(second(f8(u,cross_product(v,f24(powerset(w))))),w)* -> . % 299.97/300.36 83931[16:Res:6.1,83606.1] || subset(f1(u,f24(powerset(v))),v)* -> equal(u,f24(powerset(v))) member(f1(u,f24(powerset(v))),u)*. % 299.97/300.36 83887[16:Res:6.2,83606.1] || subset(f1(f24(powerset(u)),v),u)* -> equal(f24(powerset(u)),v) member(f1(f24(powerset(u)),v),v)*. % 299.97/300.36 84214[2:Res:1544.2,25433.0] || member(u,image(v,w)) subset(v,image(x,y))* subset(x,first(f22(u,v,w)))* -> . % 299.97/300.36 84202[2:Res:557.1,25433.0] || member(u,range_of(cross_product(image(v,w),x))) subset(v,first(f27(u,cross_product(image(v,w),x))))* -> . % 299.97/300.36 84201[2:Res:558.1,25433.0] || member(u,sigma(cross_product(image(v,w),x))) subset(v,first(f16(u,cross_product(image(v,w),x))))* -> . % 299.97/300.36 84140[2:Res:545.1,25433.0] || member(u,sigma(cross_product(v,image(w,x)))) subset(w,second(f16(u,cross_product(v,image(w,x)))))* -> . % 299.97/300.36 84139[2:Res:546.1,25433.0] || member(u,domain_of(cross_product(v,image(w,x)))) subset(w,second(f8(u,cross_product(v,image(w,x)))))* -> . % 299.97/300.36 84121[2:Res:6.1,25433.0] || subset(u,f1(v,image(u,w)))* -> equal(v,image(u,w)) member(f1(v,image(u,w)),v)*. % 299.97/300.36 84077[2:Res:6.2,25433.0] || subset(u,f1(image(u,v),w))* -> equal(image(u,v),w) member(f1(image(u,v),w),w)*. % 299.97/300.36 86762[3:SoR:10938.0,17.3] little_set(u) little_set(v) || member(universal_set,range_of(w)) equal(first(f27(universal_set,w)),ordered_pair(u,v))* -> . % 299.97/300.36 88147[3:Res:82671.1,1142.2] little_set(u) || equal(non_ordered_pair(v,w),infinity) equal(u,v) -> member(u,sigma(singleton_set(non_ordered_pair(v,w))))*. % 299.97/300.36 88146[3:Res:82671.1,1141.2] little_set(u) || equal(non_ordered_pair(v,w),infinity) equal(u,w) -> member(u,sigma(singleton_set(non_ordered_pair(v,w))))*. % 299.97/300.36 88126[3:Res:82671.1,377.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),infinity) -> member(u,converse(singleton_set(ordered_pair(second(u),first(u)))))*. % 299.97/300.36 88405[16:Res:57853.0,6176.0] || -> equal(complement(complement(converse(u))),a) ordered_pair_predicate(ordered_pair(second(f24(complement(complement(converse(u))))),first(f24(complement(complement(converse(u)))))))*. % 299.97/300.36 89295[0:Res:1274.2,14370.1] || member(u,apply(v,w)) subset(v,converse(complement(x))) member(f28(u,v,w),converse(x))* -> . % 299.97/300.36 89293[0:Res:1339.2,14370.1] || member(u,image(v,w)) subset(w,converse(complement(x))) member(f22(u,v,w),converse(x))* -> . % 299.97/300.36 89272[16:Res:56107.3,14370.1] little_set(u) || subset(f25,converse(complement(v))) member(ordered_pair(u,f26(u)),converse(v))* -> equal(u,a). % 299.97/300.36 89238[0:Res:427.1,14370.1] || member(u,range_of(intersection(v,converse(complement(w))))) member(f27(u,intersection(v,converse(complement(w)))),converse(w))* -> . % 299.97/300.36 89236[0:Res:456.1,14370.1] || member(u,sigma(intersection(v,converse(complement(w))))) member(f16(u,intersection(v,converse(complement(w)))),converse(w))* -> . % 299.97/300.36 89234[0:Res:494.1,14370.1] || member(u,domain_of(intersection(v,converse(complement(w))))) member(f8(u,intersection(v,converse(complement(w)))),converse(w))* -> . % 299.97/300.36 89200[0:Res:426.1,14370.1] || member(u,range_of(intersection(converse(complement(v)),w))) member(f27(u,intersection(converse(complement(v)),w)),converse(v))* -> . % 299.97/300.36 89198[0:Res:455.1,14370.1] || member(u,sigma(intersection(converse(complement(v)),w))) member(f16(u,intersection(converse(complement(v)),w)),converse(v))* -> . % 299.97/300.36 89196[0:Res:493.1,14370.1] || member(u,domain_of(intersection(converse(complement(v)),w))) member(f8(u,intersection(converse(complement(v)),w)),converse(v))* -> . % 299.97/300.36 89530[0:Res:1274.2,43745.1] || member(u,apply(v,w)) subset(v,flip_range_of(complement(flip_range_of(x))))* member(f28(u,v,w),x)* -> . % 299.97/300.36 89528[0:Res:1339.2,43745.1] || member(u,image(v,w)) subset(w,flip_range_of(complement(flip_range_of(x))))* member(f22(u,v,w),x)* -> . % 299.97/300.36 89514[0:Res:556.1,43745.1] || member(first(f23(u,cross_product(flip_range_of(complement(flip_range_of(v))),w))),v)* -> disjoint(u,cross_product(flip_range_of(complement(flip_range_of(v))),w)). % 299.97/300.36 89509[0:Res:552.1,43745.1] || member(first(f17(cross_product(flip_range_of(complement(flip_range_of(u))),v),w)),u)* -> subset(cross_product(flip_range_of(complement(flip_range_of(u))),v),w). % 299.97/300.36 89508[0:Res:551.1,43745.1] || member(first(f23(cross_product(flip_range_of(complement(flip_range_of(u))),v),w)),u)* -> disjoint(cross_product(flip_range_of(complement(flip_range_of(u))),v),w). % 299.97/300.36 89507[16:Res:56107.3,43745.1] little_set(u) || subset(f25,flip_range_of(complement(flip_range_of(v))))* member(ordered_pair(u,f26(u)),v)* -> equal(u,a). % 299.97/300.36 89451[0:Res:543.1,43745.1] || member(second(f23(u,cross_product(v,flip_range_of(complement(flip_range_of(w)))))),w)* -> disjoint(u,cross_product(v,flip_range_of(complement(flip_range_of(w))))). % 299.97/300.36 89442[0:Res:539.1,43745.1] || member(second(f17(cross_product(u,flip_range_of(complement(flip_range_of(v)))),w)),v)* -> subset(cross_product(u,flip_range_of(complement(flip_range_of(v)))),w). % 299.97/300.36 89441[0:Res:538.1,43745.1] || member(second(f23(cross_product(u,flip_range_of(complement(flip_range_of(v)))),w)),v)* -> disjoint(cross_product(u,flip_range_of(complement(flip_range_of(v)))),w). % 299.97/300.36 89420[0:Res:94.1,43745.1] || member(u,image(flip_range_of(complement(flip_range_of(v))),w)) member(first(f22(u,flip_range_of(complement(flip_range_of(v))),w)),v)* -> . % 299.97/300.36 89411[16:Res:55073.2,43745.1] little_set(flip_range_of(complement(flip_range_of(u)))) || member(f26(flip_range_of(complement(flip_range_of(u)))),u)* -> equal(flip_range_of(complement(flip_range_of(u))),a). % 299.97/300.36 89607[16:Res:3821.2,56180.0] || disjoint(u,universal_set) -> equal(v,powerset(u)) member(f1(v,powerset(u)),v)* equal(f1(v,powerset(u)),a). % 299.97/300.36 89577[16:Res:3839.2,56180.0] || disjoint(u,universal_set) -> equal(powerset(u),v) member(f1(powerset(u),v),v)* equal(f1(powerset(u),v),a). % 299.97/300.36 89704[16:SoR:6200.0,57705.1] || member(f24(cross_product(u,v)),w) -> member(second(f24(cross_product(u,v))),range_of(w))* equal(cross_product(u,v),a). % 299.97/300.36 89773[16:SoR:6199.0,57707.1] || member(f24(cross_product(u,v)),w) -> member(first(f24(cross_product(u,v))),domain_of(w))* equal(cross_product(u,v),a). % 299.97/300.36 92726[0:Res:1274.2,19261.0] || member(u,apply(v,w)) subset(v,sigma(intersection(x,y)))* -> member(f28(u,v,w),sigma(x))*. % 299.97/300.36 92724[0:Res:1339.2,19261.0] || member(u,image(v,w)) subset(w,sigma(intersection(x,y)))* -> member(f22(u,v,w),sigma(x))*. % 299.97/300.36 92719[0:Res:1543.2,19261.0] || member(u,image(v,w)) member(v,intersection(x,y))* -> member(first(f22(u,v,w)),sigma(x))*. % 299.97/300.36 92689[0:Res:556.1,19261.0] || -> disjoint(u,cross_product(sigma(intersection(v,w)),x)) member(first(f23(u,cross_product(sigma(intersection(v,w)),x))),sigma(v))*. % 299.97/300.36 92684[0:Res:552.1,19261.0] || -> subset(cross_product(sigma(intersection(u,v)),w),x) member(first(f17(cross_product(sigma(intersection(u,v)),w),x)),sigma(u))*. % 299.97/300.36 92683[0:Res:551.1,19261.0] || -> disjoint(cross_product(sigma(intersection(u,v)),w),x) member(first(f23(cross_product(sigma(intersection(u,v)),w),x)),sigma(u))*. % 299.97/300.36 92682[16:Res:56107.3,19261.0] little_set(u) || subset(f25,sigma(intersection(v,w)))* -> equal(u,a) member(ordered_pair(u,f26(u)),sigma(v))*. % 299.97/300.36 92627[0:Res:543.1,19261.0] || -> disjoint(u,cross_product(v,sigma(intersection(w,x)))) member(second(f23(u,cross_product(v,sigma(intersection(w,x))))),sigma(w))*. % 299.97/300.36 92618[0:Res:539.1,19261.0] || -> subset(cross_product(u,sigma(intersection(v,w))),x) member(second(f17(cross_product(u,sigma(intersection(v,w))),x)),sigma(v))*. % 299.97/300.36 92617[0:Res:538.1,19261.0] || -> disjoint(cross_product(u,sigma(intersection(v,w))),x) member(second(f23(cross_product(u,sigma(intersection(v,w))),x)),sigma(v))*. % 299.97/300.36 92596[0:Res:94.1,19261.0] || member(u,image(sigma(intersection(v,w)),x)) -> member(first(f22(u,sigma(intersection(v,w)),x)),sigma(v))*. % 299.97/300.36 92587[16:Res:55073.2,19261.0] little_set(sigma(intersection(u,v))) || -> equal(sigma(intersection(u,v)),a) member(f26(sigma(intersection(u,v))),sigma(u))*. % 299.97/300.36 92928[0:Res:1274.2,19263.0] || member(u,apply(v,w)) subset(v,sigma(intersection(x,y)))* -> member(f28(u,v,w),sigma(y))*. % 299.97/300.36 92926[0:Res:1339.2,19263.0] || member(u,image(v,w)) subset(w,sigma(intersection(x,y)))* -> member(f22(u,v,w),sigma(y))*. % 299.97/300.36 92921[0:Res:1543.2,19263.0] || member(u,image(v,w)) member(v,intersection(x,y))* -> member(first(f22(u,v,w)),sigma(y))*. % 299.97/300.36 92891[0:Res:556.1,19263.0] || -> disjoint(u,cross_product(sigma(intersection(v,w)),x)) member(first(f23(u,cross_product(sigma(intersection(v,w)),x))),sigma(w))*. % 299.97/300.36 92886[0:Res:552.1,19263.0] || -> subset(cross_product(sigma(intersection(u,v)),w),x) member(first(f17(cross_product(sigma(intersection(u,v)),w),x)),sigma(v))*. % 299.97/300.36 92885[0:Res:551.1,19263.0] || -> disjoint(cross_product(sigma(intersection(u,v)),w),x) member(first(f23(cross_product(sigma(intersection(u,v)),w),x)),sigma(v))*. % 299.97/300.36 92884[16:Res:56107.3,19263.0] little_set(u) || subset(f25,sigma(intersection(v,w)))* -> equal(u,a) member(ordered_pair(u,f26(u)),sigma(w))*. % 299.97/300.36 92829[0:Res:543.1,19263.0] || -> disjoint(u,cross_product(v,sigma(intersection(w,x)))) member(second(f23(u,cross_product(v,sigma(intersection(w,x))))),sigma(x))*. % 299.97/300.36 92820[0:Res:539.1,19263.0] || -> subset(cross_product(u,sigma(intersection(v,w))),x) member(second(f17(cross_product(u,sigma(intersection(v,w))),x)),sigma(w))*. % 299.97/300.36 92819[0:Res:538.1,19263.0] || -> disjoint(cross_product(u,sigma(intersection(v,w))),x) member(second(f23(cross_product(u,sigma(intersection(v,w))),x)),sigma(w))*. % 299.97/300.36 92798[0:Res:94.1,19263.0] || member(u,image(sigma(intersection(v,w)),x)) -> member(first(f22(u,sigma(intersection(v,w)),x)),sigma(w))*. % 299.97/300.36 92789[16:Res:55073.2,19263.0] little_set(sigma(intersection(u,v))) || -> equal(sigma(intersection(u,v)),a) member(f26(sigma(intersection(u,v))),sigma(v))*. % 299.97/300.36 93881[16:Res:91848.1,6198.3] || equal(cross_product(u,v),a)** member(second(w),v)* member(first(w),u)* member(w,x)* -> . % 299.97/300.36 94201[16:Res:57719.1,6176.0] || -> equal(restrict(converse(u),v),a) ordered_pair_predicate(ordered_pair(second(f24(restrict(converse(u),v))),first(f24(restrict(converse(u),v)))))*. % 299.97/300.36 94480[0:Res:3821.2,14041.0] || disjoint(u,v) -> equal(w,powerset(u)) member(f1(w,powerset(u)),w)* disjoint(f1(w,powerset(u)),v)*. % 299.97/300.36 94449[0:Res:3839.2,14041.0] || disjoint(u,v) -> equal(powerset(u),w) member(f1(powerset(u),w),w)* disjoint(f1(powerset(u),w),v)*. % 299.97/300.36 94810[0:Res:3821.2,14151.0] || disjoint(u,v) -> equal(w,powerset(u)) member(f1(w,powerset(u)),w)* disjoint(v,f1(w,powerset(u)))*. % 299.97/300.36 94779[0:Res:3839.2,14151.0] || disjoint(u,v) -> equal(powerset(u),w) member(f1(powerset(u),w),w)* disjoint(v,f1(powerset(u),w))*. % 299.97/300.36 94897[16:Res:91681.1,5065.1] || equal(complement(f7(u,v)),a)** member(u,second(v)) equal(w,v)* -> member(infinity,second(w))*. % 299.97/300.36 94896[16:Res:91681.1,5064.1] || equal(complement(f5(u,v)),a)** member(u,first(v)) equal(w,v)* -> member(infinity,second(w))*. % 299.97/300.36 94895[16:Res:91681.1,5024.1] || equal(complement(f12(u,v)),a)** member(u,flip_range_of(v)) equal(w,u)* -> member(infinity,first(w))*. % 299.97/300.36 94894[16:Res:91681.1,5022.1] || equal(complement(f9(u,v)),a)** member(u,rotate_right(v)) equal(w,u)* -> member(infinity,first(w))*. % 299.97/300.36 94893[16:Res:91681.1,5020.1] || equal(complement(f6(u,v)),a)** member(u,second(v)) equal(w,v)* -> member(infinity,first(w))*. % 299.97/300.36 94892[16:Res:91681.1,5019.1] || equal(complement(f4(u,v)),a)** member(u,first(v)) equal(w,v)* -> member(infinity,first(w))*. % 299.97/300.36 94890[16:Res:91681.1,6192.1] || equal(complement(second(u)),a)** member(u,v)* equal(first(u),w)* -> member(infinity,apply(v,w))*. % 299.97/300.36 95427[16:Res:92031.1,5065.1] || equal(complement(f7(u,v)),a)** member(u,second(v)) equal(w,v)* -> member(a,second(w))*. % 299.97/300.36 95426[16:Res:92031.1,5064.1] || equal(complement(f5(u,v)),a)** member(u,first(v)) equal(w,v)* -> member(a,second(w))*. % 299.97/300.36 95425[16:Res:92031.1,5024.1] || equal(complement(f12(u,v)),a)** member(u,flip_range_of(v)) equal(w,u)* -> member(a,first(w))*. % 299.97/300.36 95424[16:Res:92031.1,5022.1] || equal(complement(f9(u,v)),a)** member(u,rotate_right(v)) equal(w,u)* -> member(a,first(w))*. % 299.97/300.36 95423[16:Res:92031.1,5020.1] || equal(complement(f6(u,v)),a)** member(u,second(v)) equal(w,v)* -> member(a,first(w))*. % 299.97/300.36 95422[16:Res:92031.1,5019.1] || equal(complement(f4(u,v)),a)** member(u,first(v)) equal(w,v)* -> member(a,first(w))*. % 299.97/300.36 95420[16:Res:92031.1,6192.1] || equal(complement(second(u)),a)** member(u,v)* equal(first(u),w)* -> member(a,apply(v,w))*. % 299.97/300.36 96962[0:Res:21407.1,1163.0] ordered_pair_predicate(u) || member(powerset(ordered_pair(second(u),first(u))),v)* -> member(ordered_pair(second(u),first(u)),sigma(v)). % 299.97/300.36 97087[0:MRR:96949.0,92.1] || member(u,image(v,w)) -> member(f22(u,v,w),converse(powerset(ordered_pair(u,first(f22(u,v,w))))))*. % 299.97/300.36 97088[0:MRR:96944.0,117.1] || member(u,apply(v,w)) -> member(f28(u,v,w),converse(powerset(ordered_pair(second(f28(u,v,w)),w))))*. % 299.97/300.36 97089[3:SSi:97001.0,5742.0,371.1] || disjoint(converse(powerset(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))))),u)* -> single_valued_set(u). % 299.97/300.36 97090[3:SSi:97000.0,5742.0,371.1] || disjoint(converse(powerset(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))))),u)* -> single_valued_set(u). % 299.97/300.36 97091[3:SSi:96998.0,5742.0,371.1] || member(u,converse(complement(converse(powerset(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))))))))* -> . % 299.97/300.36 97522[16:Res:625.1,56181.0] || disjoint(u,f17(v,complement(powerset(u))))* -> subset(v,complement(powerset(u))) equal(f17(v,complement(powerset(u))),a). % 299.97/300.36 97741[0:Res:556.1,2899.0] || -> disjoint(u,cross_product(domain_of(singleton_set(v)),w)) equal(f8(first(f23(u,cross_product(domain_of(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.36 97736[0:Res:552.1,2899.0] || -> subset(cross_product(domain_of(singleton_set(u)),v),w) equal(f8(first(f17(cross_product(domain_of(singleton_set(u)),v),w)),singleton_set(u)),u)**. % 299.97/300.36 97735[0:Res:551.1,2899.0] || -> disjoint(cross_product(domain_of(singleton_set(u)),v),w) equal(f8(first(f23(cross_product(domain_of(singleton_set(u)),v),w)),singleton_set(u)),u)**. % 299.97/300.36 97708[0:Res:4115.1,2899.0] ordered_pair_predicate(u) || -> member(u,converse(complement(domain_of(singleton_set(v))))) equal(f8(ordered_pair(second(u),first(u)),singleton_set(v)),v)**. % 299.97/300.36 97679[0:Res:543.1,2899.0] || -> disjoint(u,cross_product(v,domain_of(singleton_set(w)))) equal(f8(second(f23(u,cross_product(v,domain_of(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.36 97670[0:Res:539.1,2899.0] || -> subset(cross_product(u,domain_of(singleton_set(v))),w) equal(f8(second(f17(cross_product(u,domain_of(singleton_set(v))),w)),singleton_set(v)),v)**. % 299.97/300.36 97669[0:Res:538.1,2899.0] || -> disjoint(cross_product(u,domain_of(singleton_set(v))),w) equal(f8(second(f23(cross_product(u,domain_of(singleton_set(v))),w)),singleton_set(v)),v)**. % 299.97/300.36 97648[0:Res:94.1,2899.0] || member(u,image(domain_of(singleton_set(v)),w)) -> equal(f8(first(f22(u,domain_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.36 97983[0:Res:1273.2,2938.0] || member(u,apply(v,w)) member(v,singleton_set(x)) -> equal(f16(f28(u,v,w),singleton_set(x)),x)**. % 299.97/300.36 97982[0:Res:1338.2,2938.0] || member(u,image(v,w)) member(w,singleton_set(x)) -> equal(f16(f22(u,v,w),singleton_set(x)),x)**. % 299.97/300.36 97974[16:Res:56082.3,2938.0] little_set(u) || member(f25,singleton_set(v)) -> equal(u,a) equal(f16(ordered_pair(u,f26(u)),singleton_set(v)),v)**. % 299.97/300.36 97954[0:Res:556.1,2938.0] || -> disjoint(u,cross_product(sigma(singleton_set(v)),w)) equal(f16(first(f23(u,cross_product(sigma(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.36 97949[0:Res:552.1,2938.0] || -> subset(cross_product(sigma(singleton_set(u)),v),w) equal(f16(first(f17(cross_product(sigma(singleton_set(u)),v),w)),singleton_set(u)),u)**. % 299.97/300.36 97948[0:Res:551.1,2938.0] || -> disjoint(cross_product(sigma(singleton_set(u)),v),w) equal(f16(first(f23(cross_product(sigma(singleton_set(u)),v),w)),singleton_set(u)),u)**. % 299.97/300.36 97921[0:Res:4115.1,2938.0] ordered_pair_predicate(u) || -> member(u,converse(complement(sigma(singleton_set(v))))) equal(f16(ordered_pair(second(u),first(u)),singleton_set(v)),v)**. % 299.97/300.36 97892[0:Res:543.1,2938.0] || -> disjoint(u,cross_product(v,sigma(singleton_set(w)))) equal(f16(second(f23(u,cross_product(v,sigma(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.36 97883[0:Res:539.1,2938.0] || -> subset(cross_product(u,sigma(singleton_set(v))),w) equal(f16(second(f17(cross_product(u,sigma(singleton_set(v))),w)),singleton_set(v)),v)**. % 299.97/300.36 97882[0:Res:538.1,2938.0] || -> disjoint(cross_product(u,sigma(singleton_set(v))),w) equal(f16(second(f23(cross_product(u,sigma(singleton_set(v))),w)),singleton_set(v)),v)**. % 299.97/300.36 97861[0:Res:94.1,2938.0] || member(u,image(sigma(singleton_set(v)),w)) -> equal(f16(first(f22(u,sigma(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.36 98197[0:Res:556.1,2959.0] || -> disjoint(u,cross_product(range_of(singleton_set(v)),w)) equal(f27(first(f23(u,cross_product(range_of(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.36 98192[0:Res:552.1,2959.0] || -> subset(cross_product(range_of(singleton_set(u)),v),w) equal(f27(first(f17(cross_product(range_of(singleton_set(u)),v),w)),singleton_set(u)),u)**. % 299.97/300.36 98191[0:Res:551.1,2959.0] || -> disjoint(cross_product(range_of(singleton_set(u)),v),w) equal(f27(first(f23(cross_product(range_of(singleton_set(u)),v),w)),singleton_set(u)),u)**. % 299.97/300.36 98164[0:Res:4115.1,2959.0] ordered_pair_predicate(u) || -> member(u,converse(complement(range_of(singleton_set(v))))) equal(f27(ordered_pair(second(u),first(u)),singleton_set(v)),v)**. % 299.97/300.36 98135[0:Res:543.1,2959.0] || -> disjoint(u,cross_product(v,range_of(singleton_set(w)))) equal(f27(second(f23(u,cross_product(v,range_of(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.36 98126[0:Res:539.1,2959.0] || -> subset(cross_product(u,range_of(singleton_set(v))),w) equal(f27(second(f17(cross_product(u,range_of(singleton_set(v))),w)),singleton_set(v)),v)**. % 299.97/300.36 98125[0:Res:538.1,2959.0] || -> disjoint(cross_product(u,range_of(singleton_set(v))),w) equal(f27(second(f23(cross_product(u,range_of(singleton_set(v))),w)),singleton_set(v)),v)**. % 299.97/300.36 98104[0:Res:94.1,2959.0] || member(u,image(range_of(singleton_set(v)),w)) -> equal(f27(first(f22(u,range_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.36 98329[3:Obv:98289.2] || member(u,v)* equal(first(u),w)* -> subset(second(u),complement(singleton_set(x)))* member(x,apply(v,w))*. % 299.97/300.36 98420[0:Res:8090.0,1354.0] || -> subset(complement(complement(image(u,cross_product(v,w)))),x) member(f17(complement(complement(image(u,cross_product(v,w)))),x),w)*. % 299.97/300.36 98536[0:Res:9082.0,1354.0] || -> disjoint(u,complement(complement(image(v,cross_product(w,x))))) member(f23(u,complement(complement(image(v,cross_product(w,x))))),x)*. % 299.97/300.36 98726[0:Res:9151.0,1354.0] || -> disjoint(complement(complement(image(u,cross_product(v,w)))),x) member(f23(complement(complement(image(u,cross_product(v,w)))),x),w)*. % 299.97/300.36 99236[16:SSi:99179.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),second(u)) disjoint(set_b,converse(f7(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 99237[16:SSi:99178.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),first(u)) disjoint(set_b,converse(f4(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 99238[16:SSi:99177.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),sigma(u)) disjoint(set_b,converse(f16(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 99285[0:Res:18201.1,1163.0] ordered_pair_predicate(u) || member(complement(v),w)* -> member(u,converse(v))* member(ordered_pair(second(u),first(u)),sigma(w))*. % 299.97/300.36 99468[3:MRR:99347.0,6237.1] || disjoint(converse(complement(u)),v) -> member(f1(w,v),converse(u))* equal(w,v) member(f1(w,v),w)*. % 299.97/300.36 99469[3:MRR:99346.0,6237.1] || disjoint(converse(complement(u)),v) -> member(f1(v,w),converse(u))* equal(v,w) member(f1(v,w),w)*. % 299.97/300.36 99474[3:MRR:99387.0,6177.1] || member(u,image(v,w)) disjoint(converse(complement(x)),v) -> member(first(f22(u,v,w)),converse(x))*. % 299.97/300.36 99482[3:MRR:99379.0,6177.1] || member(u,image(complement(converse(complement(v))),w)) -> member(first(f22(u,complement(converse(complement(v))),w)),converse(v))*. % 299.97/300.36 99690[2:Res:22366.2,1472.1] ordered_pair_predicate(u) || member(first(f22(first(u),v,w)),f2(u))* member(first(u),image(v,w)) -> . % 299.97/300.36 99687[0:Res:22366.2,259.0] ordered_pair_predicate(u) || member(ordered_pair(f19(complement(first(u))),f20(complement(first(u)))),f2(u))* -> single_valued_set(complement(first(u))). % 299.97/300.36 99686[0:Res:22366.2,258.0] ordered_pair_predicate(u) || member(ordered_pair(f19(complement(first(u))),f21(complement(first(u)))),f2(u))* -> single_valued_set(complement(first(u))). % 299.97/300.36 99663[0:Res:22366.2,377.1] ordered_pair_predicate(u) ordered_pair_predicate(v) || member(ordered_pair(second(v),first(v)),f2(u))* -> member(v,converse(first(u))). % 299.97/300.36 99656[0:Res:22366.2,1140.1] ordered_pair_predicate(u) || member(f4(v,w),f2(u))* member(v,first(w)) -> member(v,sigma(first(u))). % 299.97/300.36 99655[0:Res:22366.2,1139.1] ordered_pair_predicate(u) || member(f7(v,w),f2(u))* member(v,second(w)) -> member(v,sigma(first(u))). % 299.97/300.36 99654[0:Res:22366.2,1137.1] ordered_pair_predicate(u) little_set(v) || member(complement(w),f2(u))* -> member(v,w)* member(v,sigma(first(u)))*. % 299.97/300.36 99653[0:Res:22366.2,1223.1] ordered_pair_predicate(u) || member(f27(v,w),f2(u))* member(v,range_of(w)) disjoint(first(u),w) -> . % 299.97/300.36 99652[0:Res:22366.2,1138.1] ordered_pair_predicate(u) || member(f16(v,w),f2(u))* member(v,sigma(w)) -> member(v,sigma(first(u))). % 299.97/300.36 99651[0:Res:22366.2,1224.1] ordered_pair_predicate(u) || member(f16(v,w),f2(u))* member(v,sigma(w)) disjoint(first(u),w) -> . % 299.97/300.36 99650[0:Res:22366.2,1225.1] ordered_pair_predicate(u) || member(f8(v,w),f2(u))* member(v,domain_of(w)) disjoint(first(u),w) -> . % 299.97/300.36 99639[16:Res:22366.2,56124.1] ordered_pair_predicate(u) little_set(v) || member(f26(v),f2(u))* disjoint(first(u),v) -> equal(v,a). % 299.97/300.36 99885[2:Res:22612.2,1472.1] ordered_pair_predicate(u) || member(first(f22(second(u),v,w)),f3(u))* member(second(u),image(v,w)) -> . % 299.97/300.36 99881[0:Res:22612.2,259.0] ordered_pair_predicate(u) || member(ordered_pair(f19(complement(second(u))),f20(complement(second(u)))),f3(u))* -> single_valued_set(complement(second(u))). % 299.97/300.36 99880[0:Res:22612.2,258.0] ordered_pair_predicate(u) || member(ordered_pair(f19(complement(second(u))),f21(complement(second(u)))),f3(u))* -> single_valued_set(complement(second(u))). % 299.97/300.36 99857[0:Res:22612.2,377.1] ordered_pair_predicate(u) ordered_pair_predicate(v) || member(ordered_pair(second(v),first(v)),f3(u))* -> member(v,converse(second(u))). % 299.97/300.36 99850[0:Res:22612.2,1140.1] ordered_pair_predicate(u) || member(f4(v,w),f3(u))* member(v,first(w)) -> member(v,sigma(second(u))). % 299.97/300.36 99849[0:Res:22612.2,1139.1] ordered_pair_predicate(u) || member(f7(v,w),f3(u))* member(v,second(w)) -> member(v,sigma(second(u))). % 299.97/300.36 99848[0:Res:22612.2,1137.1] ordered_pair_predicate(u) little_set(v) || member(complement(w),f3(u))* -> member(v,w)* member(v,sigma(second(u)))*. % 299.97/300.36 99847[0:Res:22612.2,1223.1] ordered_pair_predicate(u) || member(f27(v,w),f3(u))* member(v,range_of(w)) disjoint(second(u),w) -> . % 299.97/300.36 99846[0:Res:22612.2,1138.1] ordered_pair_predicate(u) || member(f16(v,w),f3(u))* member(v,sigma(w)) -> member(v,sigma(second(u))). % 299.97/300.36 99845[0:Res:22612.2,1224.1] ordered_pair_predicate(u) || member(f16(v,w),f3(u))* member(v,sigma(w)) disjoint(second(u),w) -> . % 299.97/300.36 99844[0:Res:22612.2,1225.1] ordered_pair_predicate(u) || member(f8(v,w),f3(u))* member(v,domain_of(w)) disjoint(second(u),w) -> . % 299.97/300.36 99833[16:Res:22612.2,56124.1] ordered_pair_predicate(u) little_set(v) || member(f26(v),f3(u))* disjoint(second(u),v) -> equal(v,a). % 299.97/300.36 100425[16:Res:206.1,56166.0] || -> disjoint(u,powerset(singleton_set(v))) equal(f23(u,powerset(singleton_set(v))),a) equal(f24(f23(u,powerset(singleton_set(v)))),v)**. % 299.97/300.36 100408[16:Res:216.1,56166.0] || -> subset(powerset(singleton_set(u)),v) equal(f17(powerset(singleton_set(u)),v),a) equal(f24(f17(powerset(singleton_set(u)),v)),u)**. % 299.97/300.36 100407[16:Res:211.1,56166.0] || -> disjoint(powerset(singleton_set(u)),v) equal(f23(powerset(singleton_set(u)),v),a) equal(f24(f23(powerset(singleton_set(u)),v)),u)**. % 299.97/300.36 100799[16:Res:59048.1,1354.0] || -> equal(intersection(image(u,cross_product(v,w)),x),a) member(f1(intersection(image(u,cross_product(v,w)),x),a),w)*. % 299.97/300.36 100916[16:Res:59049.1,1354.0] || -> equal(intersection(u,image(v,cross_product(w,x))),a) member(f1(intersection(u,image(v,cross_product(w,x))),a),x)*. % 299.97/300.36 101017[16:Res:59050.1,1354.0] || -> equal(intersection(image(u,cross_product(v,w)),x),a) member(f1(a,intersection(image(u,cross_product(v,w)),x)),w)*. % 299.97/300.36 101156[16:Res:59051.1,1354.0] || -> equal(intersection(u,image(v,cross_product(w,x))),a) member(f1(a,intersection(u,image(v,cross_product(w,x)))),x)*. % 299.97/300.36 101350[16:Res:59052.1,1354.0] || -> equal(restrict(image(u,cross_product(v,w)),x),a) member(f1(restrict(image(u,cross_product(v,w)),x),a),w)*. % 299.97/300.36 101521[16:SSi:101461.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),second(u)) disjoint(set_a,converse(f7(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 101522[16:SSi:101460.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),first(u)) disjoint(set_a,converse(f4(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 101523[16:SSi:101459.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),sigma(u)) disjoint(set_a,converse(f16(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 101610[16:Res:59053.1,1354.0] || -> equal(restrict(image(u,cross_product(v,w)),x),a) member(f1(a,restrict(image(u,cross_product(v,w)),x)),w)*. % 299.97/300.36 101756[16:Res:57867.1,1467.1] || disjoint(complement(second(f28(u,v,f24(w)))),w)* member(u,apply(v,f24(w))) -> equal(w,a). % 299.97/300.36 101715[16:Res:57867.1,1020.0] || disjoint(complement(converse(intersection(u,v))),w)* -> equal(w,a) member(ordered_pair(second(f24(w)),first(f24(w))),u)*. % 299.97/300.36 101714[16:Res:57867.1,1021.0] || disjoint(complement(converse(intersection(u,v))),w)* -> equal(w,a) member(ordered_pair(second(f24(w)),first(f24(w))),v)*. % 299.97/300.36 101880[0:Res:3813.2,1354.0] || disjoint(u,universal_set) -> equal(image(v,cross_product(w,x)),u) member(f1(image(v,cross_product(w,x)),u),x)*. % 299.97/300.36 101853[3:Res:3813.2,6176.0] || disjoint(u,universal_set) -> equal(converse(v),u) ordered_pair_predicate(ordered_pair(second(f1(converse(v),u)),first(f1(converse(v),u))))*. % 299.97/300.36 102014[0:Res:3831.2,1354.0] || disjoint(u,universal_set) -> equal(u,image(v,cross_product(w,x))) member(f1(u,image(v,cross_product(w,x))),x)*. % 299.97/300.36 101987[3:Res:3831.2,6176.0] || disjoint(u,universal_set) -> equal(u,converse(v)) ordered_pair_predicate(ordered_pair(second(f1(u,converse(v))),first(f1(u,converse(v)))))*. % 299.97/300.36 102652[16:SSi:102592.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),second(u)) disjoint(infinity,converse(f7(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 102653[16:SSi:102591.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),first(u)) disjoint(infinity,converse(f4(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 102654[16:SSi:102590.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),sigma(u)) disjoint(infinity,converse(f16(ordered_pair(second(a),first(a)),u)))* -> . % 299.97/300.36 103260[3:Res:88325.1,3811.0] || disjoint(u,singleton_set(infinity)) -> equal(v,infinity) member(f1(v,infinity),v)* member(f1(v,infinity),sigma(complement(u)))*. % 299.97/300.36 103259[3:Res:88325.1,3829.0] || disjoint(u,singleton_set(infinity)) -> equal(infinity,v) member(f1(infinity,v),v)* member(f1(infinity,v),sigma(complement(u)))*. % 299.97/300.36 103633[0:Res:4115.1,16184.0] ordered_pair_predicate(u) || -> member(u,converse(complement(domain_of(intersection(cross_product(v,w),x)))))* member(ordered_pair(second(u),first(u)),v)*. % 299.97/300.36 103580[0:Res:107.1,16184.0] || member(u,range_of(domain_of(intersection(cross_product(v,w),x)))) -> member(f27(u,domain_of(intersection(cross_product(v,w),x))),v)*. % 299.97/300.36 103578[0:Res:66.1,16184.0] || member(u,sigma(domain_of(intersection(cross_product(v,w),x)))) -> member(f16(u,domain_of(intersection(cross_product(v,w),x))),v)*. % 299.97/300.36 103576[0:Res:38.1,16184.0] || member(u,domain_of(domain_of(intersection(cross_product(v,w),x)))) -> member(f8(u,domain_of(intersection(cross_product(v,w),x))),v)*. % 299.97/300.36 103573[0:Res:395.0,16184.0] || -> subset(u,complement(domain_of(intersection(cross_product(v,w),x)))) member(f17(u,complement(domain_of(intersection(cross_product(v,w),x)))),v)*. % 299.97/300.36 103543[2:Res:25246.0,16184.0] || -> equal(complement(domain_of(intersection(cross_product(u,v),w))),universal_set) member(f1(universal_set,complement(domain_of(intersection(cross_product(u,v),w)))),u)*. % 299.97/300.36 103540[0:Res:4258.0,16184.0] || -> equal(complement(domain_of(intersection(cross_product(u,v),w))),universal_set) member(f1(complement(domain_of(intersection(cross_product(u,v),w))),universal_set),u)*. % 299.97/300.36 103875[0:Res:4115.1,16416.0] ordered_pair_predicate(u) || -> member(u,converse(complement(domain_of(intersection(v,cross_product(w,x))))))* member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.36 103822[0:Res:107.1,16416.0] || member(u,range_of(domain_of(intersection(v,cross_product(w,x))))) -> member(f27(u,domain_of(intersection(v,cross_product(w,x)))),w)*. % 299.97/300.36 103820[0:Res:66.1,16416.0] || member(u,sigma(domain_of(intersection(v,cross_product(w,x))))) -> member(f16(u,domain_of(intersection(v,cross_product(w,x)))),w)*. % 299.97/300.36 103818[0:Res:38.1,16416.0] || member(u,domain_of(domain_of(intersection(v,cross_product(w,x))))) -> member(f8(u,domain_of(intersection(v,cross_product(w,x)))),w)*. % 299.97/300.36 103815[0:Res:395.0,16416.0] || -> subset(u,complement(domain_of(intersection(v,cross_product(w,x))))) member(f17(u,complement(domain_of(intersection(v,cross_product(w,x))))),w)*. % 299.97/300.36 103785[2:Res:25246.0,16416.0] || -> equal(complement(domain_of(intersection(u,cross_product(v,w)))),universal_set) member(f1(universal_set,complement(domain_of(intersection(u,cross_product(v,w))))),v)*. % 299.97/300.36 103782[0:Res:4258.0,16416.0] || -> equal(complement(domain_of(intersection(u,cross_product(v,w)))),universal_set) member(f1(complement(domain_of(intersection(u,cross_product(v,w)))),universal_set),v)*. % 299.97/300.36 104120[0:Res:4115.1,17439.0] ordered_pair_predicate(u) || -> member(u,converse(complement(range_of(intersection(cross_product(v,w),x)))))* member(ordered_pair(second(u),first(u)),w)*. % 299.97/300.36 104067[0:Res:107.1,17439.0] || member(u,range_of(range_of(intersection(cross_product(v,w),x)))) -> member(f27(u,range_of(intersection(cross_product(v,w),x))),w)*. % 299.97/300.36 104065[0:Res:66.1,17439.0] || member(u,sigma(range_of(intersection(cross_product(v,w),x)))) -> member(f16(u,range_of(intersection(cross_product(v,w),x))),w)*. % 299.97/300.36 104063[0:Res:38.1,17439.0] || member(u,domain_of(range_of(intersection(cross_product(v,w),x)))) -> member(f8(u,range_of(intersection(cross_product(v,w),x))),w)*. % 299.97/300.36 104060[0:Res:395.0,17439.0] || -> subset(u,complement(range_of(intersection(cross_product(v,w),x)))) member(f17(u,complement(range_of(intersection(cross_product(v,w),x)))),w)*. % 299.97/300.36 104030[2:Res:25246.0,17439.0] || -> equal(complement(range_of(intersection(cross_product(u,v),w))),universal_set) member(f1(universal_set,complement(range_of(intersection(cross_product(u,v),w)))),v)*. % 299.97/300.36 104027[0:Res:4258.0,17439.0] || -> equal(complement(range_of(intersection(cross_product(u,v),w))),universal_set) member(f1(complement(range_of(intersection(cross_product(u,v),w))),universal_set),v)*. % 299.97/300.36 104397[0:Res:4115.1,17546.0] ordered_pair_predicate(u) || -> member(u,converse(complement(range_of(intersection(v,cross_product(w,x))))))* member(ordered_pair(second(u),first(u)),x)*. % 299.97/300.36 104344[0:Res:107.1,17546.0] || member(u,range_of(range_of(intersection(v,cross_product(w,x))))) -> member(f27(u,range_of(intersection(v,cross_product(w,x)))),x)*. % 299.97/300.36 104342[0:Res:66.1,17546.0] || member(u,sigma(range_of(intersection(v,cross_product(w,x))))) -> member(f16(u,range_of(intersection(v,cross_product(w,x)))),x)*. % 299.97/300.36 104340[0:Res:38.1,17546.0] || member(u,domain_of(range_of(intersection(v,cross_product(w,x))))) -> member(f8(u,range_of(intersection(v,cross_product(w,x)))),x)*. % 299.97/300.36 104337[0:Res:395.0,17546.0] || -> subset(u,complement(range_of(intersection(v,cross_product(w,x))))) member(f17(u,complement(range_of(intersection(v,cross_product(w,x))))),x)*. % 299.97/300.36 104307[2:Res:25246.0,17546.0] || -> equal(complement(range_of(intersection(u,cross_product(v,w)))),universal_set) member(f1(universal_set,complement(range_of(intersection(u,cross_product(v,w))))),w)*. % 299.97/300.36 104304[0:Res:4258.0,17546.0] || -> equal(complement(range_of(intersection(u,cross_product(v,w)))),universal_set) member(f1(complement(range_of(intersection(u,cross_product(v,w)))),universal_set),w)*. % 299.97/300.36 104736[0:MRR:104620.0,5.0] || disjoint(union(u,v),w)* -> member(f1(x,w),complement(u))* equal(x,w) member(f1(x,w),x)*. % 299.97/300.36 104737[0:MRR:104619.0,5.0] || disjoint(union(u,v),w)* -> member(f1(w,x),complement(u))* equal(w,x) member(f1(w,x),x)*. % 299.97/300.36 104742[0:MRR:104660.0,1545.1] || member(u,image(v,w)) disjoint(union(x,y),v)* -> member(first(f22(u,v,w)),complement(x))*. % 299.97/300.36 104750[0:MRR:104652.0,1545.1] || member(u,image(complement(union(v,w)),x)) -> member(first(f22(u,complement(union(v,w)),x)),complement(v))*. % 299.97/300.36 105082[0:MRR:104964.0,5.0] || disjoint(union(u,v),w)* -> member(f1(x,w),complement(v))* equal(x,w) member(f1(x,w),x)*. % 299.97/300.36 105083[0:MRR:104963.0,5.0] || disjoint(union(u,v),w)* -> member(f1(w,x),complement(v))* equal(w,x) member(f1(w,x),x)*. % 299.97/300.36 105088[0:MRR:105004.0,1545.1] || member(u,image(v,w)) disjoint(union(x,y),v)* -> member(first(f22(u,v,w)),complement(y))*. % 299.97/300.36 105096[0:MRR:104996.0,1545.1] || member(u,image(complement(union(v,w)),x)) -> member(first(f22(u,complement(union(v,w)),x)),complement(w))*. % 299.97/300.36 105350[0:Res:4115.1,26698.0] ordered_pair_predicate(u) || -> member(u,converse(complement(apply(cross_product(v,w),x))))* member(ordered_pair(second(u),first(u)),sigma(w))*. % 299.97/300.36 105319[16:Res:55150.1,26698.0] || -> equal(intersection(u,apply(cross_product(v,w),x)),a) member(f24(intersection(u,apply(cross_product(v,w),x))),sigma(w))*. % 299.97/300.36 105272[16:Res:57719.1,26698.0] || -> equal(restrict(apply(cross_product(u,v),w),x),a) member(f24(restrict(apply(cross_product(u,v),w),x)),sigma(v))*. % 299.97/300.36 105271[16:Res:55149.1,26698.0] || -> equal(intersection(apply(cross_product(u,v),w),x),a) member(f24(intersection(apply(cross_product(u,v),w),x)),sigma(v))*. % 299.97/300.36 105270[16:Res:57853.0,26698.0] || -> equal(complement(complement(apply(cross_product(u,v),w))),a) member(f24(complement(complement(apply(cross_product(u,v),w)))),sigma(v))*. % 299.97/300.36 4255[0:Res:33.2,4163.0] || member(f1(intersection(u,v),universal_set),v)* member(f1(intersection(u,v),universal_set),u)* -> equal(intersection(u,v),universal_set). % 299.97/300.36 7879[3:Res:86.1,6176.0] || -> single_valued_set(converse(u)) ordered_pair_predicate(ordered_pair(second(ordered_pair(f19(converse(u)),f20(converse(u)))),first(ordered_pair(f19(converse(u)),f20(converse(u))))))*. % 299.97/300.36 7878[3:Res:87.1,6176.0] || -> single_valued_set(converse(u)) ordered_pair_predicate(ordered_pair(second(ordered_pair(f19(converse(u)),f21(converse(u)))),first(ordered_pair(f19(converse(u)),f21(converse(u))))))*. % 299.97/300.36 7956[0:Res:6.1,274.0] || -> equal(u,restrict(v,w)) member(f1(u,restrict(v,w)),u)* member(f1(u,restrict(v,w)),cross_product(w,universal_set))*. % 299.97/300.36 7945[0:Res:6.2,274.0] || -> equal(restrict(u,v),w) member(f1(restrict(u,v),w),w)* member(f1(restrict(u,v),w),cross_product(v,universal_set))*. % 299.97/300.36 9842[0:Res:94.1,1354.0] || member(u,image(image(v,cross_product(w,x)),y)) -> member(first(f22(u,image(v,cross_product(w,x)),y)),x)*. % 299.97/300.36 9836[0:Res:86.1,1354.0] || -> single_valued_set(image(u,cross_product(v,w))) member(ordered_pair(f19(image(u,cross_product(v,w))),f20(image(u,cross_product(v,w)))),w)*. % 299.97/300.36 9835[0:Res:87.1,1354.0] || -> single_valued_set(image(u,cross_product(v,w))) member(ordered_pair(f19(image(u,cross_product(v,w))),f21(image(u,cross_product(v,w)))),w)*. % 299.97/300.36 10594[2:Res:46.1,644.1] || member(u,converse(second(f8(ordered_pair(second(u),first(u)),v))))* member(ordered_pair(second(u),first(u)),domain_of(v)) -> . % 299.97/300.36 10941[2:Res:1079.2,616.1] little_set(first(f27(singleton_set(u),v))) || equal(first(f27(singleton_set(u),v)),u)** member(singleton_set(u),range_of(v)) -> . % 299.97/300.36 10940[2:Res:77.2,616.1] little_set(first(f27(powerset(u),v))) || subset(first(f27(powerset(u),v)),u)* member(powerset(u),range_of(v)) -> . % 299.97/300.36 12307[0:SpR:108.1,1013.1] || member(u,range_of(v)) member(f27(u,v),converse(powerset(w))) -> subset(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.36 12303[0:SpR:39.1,1013.1] || member(u,domain_of(v)) member(f8(u,v),converse(powerset(w))) -> subset(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.36 12519[3:SoR:6199.0,1545.1] || member(f22(u,v,w),x) member(u,image(v,w)) -> member(first(f22(u,v,w)),domain_of(x))*. % 299.97/300.36 12900[3:Res:956.2,6176.0] || subset(u,converse(v))* -> single_valued_set(u) ordered_pair_predicate(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))))*. % 299.97/300.36 13015[3:Res:957.2,6176.0] || subset(u,converse(v))* -> single_valued_set(u) ordered_pair_predicate(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))))*. % 299.97/300.36 13316[0:Res:538.1,1354.0] || -> disjoint(cross_product(u,image(v,cross_product(w,x))),y) member(second(f23(cross_product(u,image(v,cross_product(w,x))),y)),x)*. % 299.97/300.36 13359[0:Res:543.1,1354.0] || -> disjoint(u,cross_product(v,image(w,cross_product(x,y)))) member(second(f23(u,cross_product(v,image(w,cross_product(x,y))))),y)*. % 299.97/300.36 13433[0:Res:551.1,1354.0] || -> disjoint(cross_product(image(u,cross_product(v,w)),x),y) member(first(f23(cross_product(image(u,cross_product(v,w)),x),y)),w)*. % 299.97/300.36 13511[0:Res:556.1,1354.0] || -> disjoint(u,cross_product(image(v,cross_product(w,x)),y)) member(first(f23(u,cross_product(image(v,cross_product(w,x)),y))),x)*. % 299.97/300.36 13652[0:Res:539.1,1354.0] || -> subset(cross_product(u,image(v,cross_product(w,x))),y) member(second(f17(cross_product(u,image(v,cross_product(w,x))),y)),x)*. % 299.97/300.36 13715[0:Res:552.1,1354.0] || -> subset(cross_product(image(u,cross_product(v,w)),x),y) member(first(f17(cross_product(image(u,cross_product(v,w)),x),y)),w)*. % 299.97/300.36 13846[0:Res:33.2,1214.0] || member(f17(u,v),w)* member(f17(u,v),x)* disjoint(intersection(x,w),u)* -> subset(u,v). % 299.97/300.36 13845[0:Res:120.1,1214.0] || member(f17(u,v),apply(w,x)) disjoint(second(f28(f17(u,v),w,x)),u)* -> subset(u,v). % 299.97/300.36 14021[0:Res:33.2,1221.0] || member(f23(u,v),w)* member(f23(u,v),x)* disjoint(intersection(x,w),v)* -> disjoint(u,v). % 299.97/300.36 14020[0:Res:120.1,1221.0] || member(f23(u,v),apply(w,x)) disjoint(second(f28(f23(u,v),w,x)),v)* -> disjoint(u,v). % 299.97/300.36 14129[0:Res:33.2,1213.0] || member(f23(u,v),w)* member(f23(u,v),x)* disjoint(intersection(x,w),u)* -> disjoint(u,v). % 299.97/300.36 14128[0:Res:120.1,1213.0] || member(f23(u,v),apply(w,x)) disjoint(second(f28(f23(u,v),w,x)),u)* -> disjoint(u,v). % 299.97/300.36 14367[0:Res:67.1,1019.1] || member(ordered_pair(second(u),first(u)),sigma(v)) member(u,converse(complement(f16(ordered_pair(second(u),first(u)),v))))* -> . % 299.97/300.36 14366[0:Res:21.1,1019.1] || member(ordered_pair(second(u),first(u)),first(v)) member(u,converse(complement(f4(ordered_pair(second(u),first(u)),v))))* -> . % 299.97/300.36 14365[0:Res:26.1,1019.1] || member(ordered_pair(second(u),first(u)),second(v)) member(u,converse(complement(f7(ordered_pair(second(u),first(u)),v))))* -> . % 299.97/300.36 14457[0:Rew:372.0,14449.1] || equal(f17(u,ordered_pair(singleton_set(v),non_ordered_pair(v,w))),ordered_pair(v,w))** -> subset(u,ordered_pair(singleton_set(v),non_ordered_pair(v,w))). % 299.97/300.36 14559[0:Res:67.1,1215.0] || member(ordered_pair(f19(u),f21(u)),sigma(v)) disjoint(f16(ordered_pair(f19(u),f21(u)),v),u)* -> single_valued_set(u). % 299.97/300.36 14558[0:Res:21.1,1215.0] || member(ordered_pair(f19(u),f21(u)),first(v)) disjoint(f4(ordered_pair(f19(u),f21(u)),v),u)* -> single_valued_set(u). % 299.97/300.36 14557[0:Res:26.1,1215.0] || member(ordered_pair(f19(u),f21(u)),second(v)) disjoint(f7(ordered_pair(f19(u),f21(u)),v),u)* -> single_valued_set(u). % 299.97/300.36 14624[0:Res:67.1,1216.0] || member(ordered_pair(f19(u),f20(u)),sigma(v)) disjoint(f16(ordered_pair(f19(u),f20(u)),v),u)* -> single_valued_set(u). % 299.97/300.36 14623[0:Res:21.1,1216.0] || member(ordered_pair(f19(u),f20(u)),first(v)) disjoint(f4(ordered_pair(f19(u),f20(u)),v),u)* -> single_valued_set(u). % 299.97/300.36 14622[0:Res:26.1,1216.0] || member(ordered_pair(f19(u),f20(u)),second(v)) disjoint(f7(ordered_pair(f19(u),f20(u)),v),u)* -> single_valued_set(u). % 299.97/300.36 14787[0:Res:107.1,314.0] || member(u,range_of(intersection(complement(v),complement(w)))) member(f27(u,intersection(complement(v),complement(w))),union(v,w))* -> . % 299.97/300.36 14786[0:Res:66.1,314.0] || member(u,sigma(intersection(complement(v),complement(w)))) member(f16(u,intersection(complement(v),complement(w))),union(v,w))* -> . % 299.97/300.36 14785[0:Res:38.1,314.0] || member(u,domain_of(intersection(complement(v),complement(w)))) member(f8(u,intersection(complement(v),complement(w))),union(v,w))* -> . % 299.97/300.36 14861[0:Res:955.2,1020.0] || subset(u,converse(intersection(v,w)))* -> subset(u,x) member(ordered_pair(second(f17(u,x)),first(f17(u,x))),v)*. % 299.97/300.36 14858[0:Res:961.2,1020.0] || subset(u,converse(intersection(v,w)))* -> disjoint(x,u) member(ordered_pair(second(f23(x,u)),first(f23(x,u))),v)*. % 299.97/300.36 14856[0:Res:954.2,1020.0] || subset(u,converse(intersection(v,w)))* -> disjoint(u,x) member(ordered_pair(second(f23(u,x)),first(f23(u,x))),v)*. % 299.97/300.36 14896[0:Rew:95.1,14876.1] || member(u,image(v,converse(intersection(w,x)))) -> member(ordered_pair(u,first(f22(u,v,converse(intersection(w,x))))),w)*. % 299.97/300.36 14897[0:Rew:119.1,14866.1] || member(u,apply(converse(intersection(v,w)),x)) -> member(ordered_pair(second(f28(u,converse(intersection(v,w)),x)),x),v)*. % 299.97/300.36 14967[0:Res:955.2,1021.0] || subset(u,converse(intersection(v,w)))* -> subset(u,x) member(ordered_pair(second(f17(u,x)),first(f17(u,x))),w)*. % 299.97/300.36 14964[0:Res:961.2,1021.0] || subset(u,converse(intersection(v,w)))* -> disjoint(x,u) member(ordered_pair(second(f23(x,u)),first(f23(x,u))),w)*. % 299.97/300.36 14962[0:Res:954.2,1021.0] || subset(u,converse(intersection(v,w)))* -> disjoint(u,x) member(ordered_pair(second(f23(u,x)),first(f23(u,x))),w)*. % 299.97/300.36 15002[0:Rew:95.1,14982.1] || member(u,image(v,converse(intersection(w,x)))) -> member(ordered_pair(u,first(f22(u,v,converse(intersection(w,x))))),x)*. % 299.97/300.36 15003[0:Rew:119.1,14972.1] || member(u,apply(converse(intersection(v,w)),x)) -> member(ordered_pair(second(f28(u,converse(intersection(v,w)),x)),x),w)*. % 299.97/300.36 15226[0:Res:965.2,314.0] || member(u,domain_of(v)) subset(v,intersection(complement(w),complement(x)))* member(f8(u,v),union(w,x))* -> . % 299.97/300.36 15223[2:Res:965.2,644.1] || member(u,domain_of(v)) subset(v,second(f8(f8(u,v),w)))* member(f8(u,v),domain_of(w)) -> . % 299.97/300.36 15212[0:Res:965.2,8.0] || member(u,domain_of(v))* subset(v,non_ordered_pair(w,x))* -> equal(f8(u,v),x)* equal(f8(u,v),w)*. % 299.97/300.36 15277[0:Res:964.2,314.0] || member(u,sigma(v)) subset(v,intersection(complement(w),complement(x)))* member(f16(u,v),union(w,x))* -> . % 299.97/300.36 15274[2:Res:964.2,644.1] || member(u,sigma(v)) subset(v,second(f8(f16(u,v),w)))* member(f16(u,v),domain_of(w)) -> . % 299.97/300.36 15263[0:Res:964.2,8.0] || member(u,sigma(v))* subset(v,non_ordered_pair(w,x))* -> equal(f16(u,v),x)* equal(f16(u,v),w)*. % 299.97/300.36 15502[0:Res:963.2,314.0] || member(u,range_of(v)) subset(v,intersection(complement(w),complement(x)))* member(f27(u,v),union(w,x))* -> . % 299.97/300.36 15499[2:Res:963.2,644.1] || member(u,range_of(v)) subset(v,second(f8(f27(u,v),w)))* member(f27(u,v),domain_of(w)) -> . % 299.97/300.36 15488[0:Res:963.2,8.0] || member(u,range_of(v))* subset(v,non_ordered_pair(w,x))* -> equal(f27(u,v),x)* equal(f27(u,v),w)*. % 299.97/300.36 16016[0:SpR:20.1,1080.2] little_set(u) || member(v,first(w)) equal(u,non_ordered_pair(f4(v,w),f5(v,w)))* -> member(u,w)*. % 299.97/300.36 16015[0:SpR:25.1,1080.2] little_set(u) || member(v,second(w)) equal(u,non_ordered_pair(f6(v,w),f7(v,w)))* -> member(u,w)*. % 299.97/300.36 16079[0:SSi:16057.0,371.0] || equal(ordered_pair(f19(complement(ordered_pair(u,v))),f20(complement(ordered_pair(u,v)))),non_ordered_pair(u,v))** -> single_valued_set(complement(ordered_pair(u,v))). % 299.97/300.36 16080[0:SSi:16056.0,371.0] || equal(ordered_pair(f19(complement(ordered_pair(u,v))),f21(complement(ordered_pair(u,v)))),non_ordered_pair(u,v))** -> single_valued_set(complement(ordered_pair(u,v))). % 299.97/300.36 16158[0:Res:493.1,4238.0] || member(u,domain_of(intersection(compose(v,w),x)))* equal(y,f8(u,intersection(compose(v,w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.36 16388[0:Res:494.1,4238.0] || member(u,domain_of(intersection(v,compose(w,x))))* equal(y,f8(u,intersection(v,compose(w,x))))* -> ordered_pair_predicate(y)*. % 299.97/300.36 17112[0:Res:455.1,4238.0] || member(u,sigma(intersection(compose(v,w),x)))* equal(y,f16(u,intersection(compose(v,w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.36 17213[0:Res:456.1,4238.0] || member(u,sigma(intersection(v,compose(w,x))))* equal(y,f16(u,intersection(v,compose(w,x))))* -> ordered_pair_predicate(y)*. % 299.97/300.36 17406[0:Res:426.1,4238.0] || member(u,range_of(intersection(compose(v,w),x)))* equal(y,f27(u,intersection(compose(v,w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.36 17513[0:Res:427.1,4238.0] || member(u,range_of(intersection(v,compose(w,x))))* equal(y,f27(u,intersection(v,compose(w,x))))* -> ordered_pair_predicate(y)*. % 299.97/300.36 17658[2:Res:955.2,1467.1] || subset(u,second(f28(v,w,f17(u,x))))* member(v,apply(w,f17(u,x))) -> subset(u,x). % 299.97/300.36 17657[2:Res:961.2,1467.1] || subset(u,second(f28(v,w,f23(x,u))))* member(v,apply(w,f23(x,u))) -> disjoint(x,u). % 299.97/300.36 17656[2:Res:954.2,1467.1] || subset(u,second(f28(v,w,f23(u,x))))* member(v,apply(w,f23(u,x))) -> disjoint(u,x). % 299.97/300.36 17937[0:Res:960.2,1014.0] || member(u,infinity) subset(infinity,converse(cross_product(v,w)))* -> member(first(ordered_pair(second(successor(u)),first(successor(u)))),v)*. % 299.97/300.36 17965[0:Rew:108.1,17948.2] || member(u,range_of(v)) subset(v,converse(cross_product(w,x)))* -> member(first(ordered_pair(u,first(f27(u,v)))),w)*. % 299.97/300.36 17966[0:Rew:39.1,17944.2] || member(u,domain_of(v)) subset(v,converse(cross_product(w,x)))* -> member(first(ordered_pair(second(f8(u,v)),u)),w)*. % 299.97/300.36 18061[0:Res:960.2,1015.0] || member(u,infinity) subset(infinity,converse(cross_product(v,w)))* -> member(second(ordered_pair(second(successor(u)),first(successor(u)))),w)*. % 299.97/300.36 18089[0:Rew:108.1,18072.2] || member(u,range_of(v)) subset(v,converse(cross_product(w,x)))* -> member(second(ordered_pair(u,first(f27(u,v)))),x)*. % 299.97/300.36 18090[0:Rew:39.1,18068.2] || member(u,domain_of(v)) subset(v,converse(cross_product(w,x)))* -> member(second(ordered_pair(second(f8(u,v)),u)),x)*. % 299.97/300.36 18288[0:Res:279.1,282.0] || -> single_valued_set(intersection(u,restrict(v,w))) member(ordered_pair(f19(intersection(u,restrict(v,w))),f21(intersection(u,restrict(v,w)))),v)*. % 299.97/300.36 18286[0:Res:279.1,15955.0] || -> single_valued_set(intersection(u,sigma(powerset(v)))) member(ordered_pair(f19(intersection(u,sigma(powerset(v)))),f21(intersection(u,sigma(powerset(v))))),v)*. % 299.97/300.36 18283[0:Res:279.1,32.0] || -> single_valued_set(intersection(u,intersection(v,w))) member(ordered_pair(f19(intersection(u,intersection(v,w))),f21(intersection(u,intersection(v,w)))),w)*. % 299.97/300.36 18282[0:Res:279.1,31.0] || -> single_valued_set(intersection(u,intersection(v,w))) member(ordered_pair(f19(intersection(u,intersection(v,w))),f21(intersection(u,intersection(v,w)))),v)*. % 299.97/300.36 18277[0:Res:279.1,10964.0] || -> single_valued_set(intersection(u,complement(complement(v)))) member(ordered_pair(f19(intersection(u,complement(complement(v)))),f21(intersection(u,complement(complement(v))))),v)*. % 299.97/300.36 18265[0:Res:279.1,4578.0] || equal(u,ordered_pair(f19(intersection(v,rotate_right(w))),f21(intersection(v,rotate_right(w)))))* -> single_valued_set(intersection(v,rotate_right(w))) ordered_pair_predicate(u)*. % 299.97/300.36 18263[0:Res:279.1,4549.0] || equal(u,ordered_pair(f19(intersection(v,flip_range_of(w))),f21(intersection(v,flip_range_of(w)))))* -> single_valued_set(intersection(v,flip_range_of(w))) ordered_pair_predicate(u)*. % 299.97/300.36 18425[0:Res:280.1,282.0] || -> single_valued_set(intersection(u,restrict(v,w))) member(ordered_pair(f19(intersection(u,restrict(v,w))),f20(intersection(u,restrict(v,w)))),v)*. % 299.97/300.36 18423[0:Res:280.1,15955.0] || -> single_valued_set(intersection(u,sigma(powerset(v)))) member(ordered_pair(f19(intersection(u,sigma(powerset(v)))),f20(intersection(u,sigma(powerset(v))))),v)*. % 299.97/300.36 18420[0:Res:280.1,32.0] || -> single_valued_set(intersection(u,intersection(v,w))) member(ordered_pair(f19(intersection(u,intersection(v,w))),f20(intersection(u,intersection(v,w)))),w)*. % 299.97/300.36 18419[0:Res:280.1,31.0] || -> single_valued_set(intersection(u,intersection(v,w))) member(ordered_pair(f19(intersection(u,intersection(v,w))),f20(intersection(u,intersection(v,w)))),v)*. % 299.97/300.36 18414[0:Res:280.1,10964.0] || -> single_valued_set(intersection(u,complement(complement(v)))) member(ordered_pair(f19(intersection(u,complement(complement(v)))),f20(intersection(u,complement(complement(v))))),v)*. % 299.97/300.36 18402[0:Res:280.1,4578.0] || equal(u,ordered_pair(f19(intersection(v,rotate_right(w))),f20(intersection(v,rotate_right(w)))))* -> single_valued_set(intersection(v,rotate_right(w))) ordered_pair_predicate(u)*. % 299.97/300.36 18400[0:Res:280.1,4549.0] || equal(u,ordered_pair(f19(intersection(v,flip_range_of(w))),f20(intersection(v,flip_range_of(w)))))* -> single_valued_set(intersection(v,flip_range_of(w))) ordered_pair_predicate(u)*. % 299.97/300.36 18507[0:Res:287.1,282.0] || -> single_valued_set(intersection(restrict(u,v),w)) member(ordered_pair(f19(intersection(restrict(u,v),w)),f21(intersection(restrict(u,v),w))),u)*. % 299.97/300.36 18505[0:Res:287.1,15955.0] || -> single_valued_set(intersection(sigma(powerset(u)),v)) member(ordered_pair(f19(intersection(sigma(powerset(u)),v)),f21(intersection(sigma(powerset(u)),v))),u)*. % 299.97/300.36 18502[0:Res:287.1,32.0] || -> single_valued_set(intersection(intersection(u,v),w)) member(ordered_pair(f19(intersection(intersection(u,v),w)),f21(intersection(intersection(u,v),w))),v)*. % 299.97/300.36 18501[0:Res:287.1,31.0] || -> single_valued_set(intersection(intersection(u,v),w)) member(ordered_pair(f19(intersection(intersection(u,v),w)),f21(intersection(intersection(u,v),w))),u)*. % 299.97/300.36 18496[0:Res:287.1,10964.0] || -> single_valued_set(intersection(complement(complement(u)),v)) member(ordered_pair(f19(intersection(complement(complement(u)),v)),f21(intersection(complement(complement(u)),v))),u)*. % 299.97/300.36 18484[0:Res:287.1,4578.0] || equal(u,ordered_pair(f19(intersection(rotate_right(v),w)),f21(intersection(rotate_right(v),w))))* -> single_valued_set(intersection(rotate_right(v),w)) ordered_pair_predicate(u)*. % 299.97/300.36 18482[0:Res:287.1,4549.0] || equal(u,ordered_pair(f19(intersection(flip_range_of(v),w)),f21(intersection(flip_range_of(v),w))))* -> single_valued_set(intersection(flip_range_of(v),w)) ordered_pair_predicate(u)*. % 299.97/300.36 18649[0:Res:288.1,282.0] || -> single_valued_set(intersection(restrict(u,v),w)) member(ordered_pair(f19(intersection(restrict(u,v),w)),f20(intersection(restrict(u,v),w))),u)*. % 299.97/300.36 18647[0:Res:288.1,15955.0] || -> single_valued_set(intersection(sigma(powerset(u)),v)) member(ordered_pair(f19(intersection(sigma(powerset(u)),v)),f20(intersection(sigma(powerset(u)),v))),u)*. % 299.97/300.36 18644[0:Res:288.1,32.0] || -> single_valued_set(intersection(intersection(u,v),w)) member(ordered_pair(f19(intersection(intersection(u,v),w)),f20(intersection(intersection(u,v),w))),v)*. % 299.97/300.36 18643[0:Res:288.1,31.0] || -> single_valued_set(intersection(intersection(u,v),w)) member(ordered_pair(f19(intersection(intersection(u,v),w)),f20(intersection(intersection(u,v),w))),u)*. % 299.97/300.36 18638[0:Res:288.1,10964.0] || -> single_valued_set(intersection(complement(complement(u)),v)) member(ordered_pair(f19(intersection(complement(complement(u)),v)),f20(intersection(complement(complement(u)),v))),u)*. % 299.97/300.36 18626[0:Res:288.1,4578.0] || equal(u,ordered_pair(f19(intersection(rotate_right(v),w)),f20(intersection(rotate_right(v),w))))* -> single_valued_set(intersection(rotate_right(v),w)) ordered_pair_predicate(u)*. % 299.97/300.36 18624[0:Res:288.1,4549.0] || equal(u,ordered_pair(f19(intersection(flip_range_of(v),w)),f20(intersection(flip_range_of(v),w))))* -> single_valued_set(intersection(flip_range_of(v),w)) ordered_pair_predicate(u)*. % 299.97/300.36 18920[0:Res:10.2,1137.1] little_set(complement(u)) little_set(v) || equal(complement(u),w)* -> member(v,u)* member(v,sigma(non_ordered_pair(x,w)))*. % 299.97/300.36 18919[0:Res:9.2,1137.1] little_set(complement(u)) little_set(v) || equal(complement(u),w)* -> member(v,u)* member(v,sigma(non_ordered_pair(w,x)))*. % 299.97/300.36 19594[0:Res:546.1,274.0] || member(u,domain_of(cross_product(v,restrict(w,x)))) -> member(second(f8(u,cross_product(v,restrict(w,x)))),cross_product(x,universal_set))*. % 299.97/300.36 19585[0:Res:546.1,547.0] || member(u,domain_of(cross_product(v,range_of(cross_product(w,x))))) -> member(second(f8(u,cross_product(v,range_of(cross_product(w,x))))),x)*. % 299.97/300.36 19583[0:Res:546.1,560.0] || member(u,domain_of(cross_product(v,domain_of(cross_product(w,x))))) -> member(second(f8(u,cross_product(v,domain_of(cross_product(w,x))))),w)*. % 299.97/300.36 20487[0:Res:378.3,20288.0] ordered_pair_predicate(set_b) || member(second(set_b),u) member(first(set_b),v) disjoint(cross_product(v,u),cross_product(v,u))* -> . % 299.97/300.36 20508[0:Res:378.3,20289.0] ordered_pair_predicate(set_a) || member(second(set_a),u) member(first(set_a),v) disjoint(cross_product(v,u),cross_product(v,u))* -> . % 299.97/300.36 20679[0:Res:545.1,274.0] || member(u,sigma(cross_product(v,restrict(w,x)))) -> member(second(f16(u,cross_product(v,restrict(w,x)))),cross_product(x,universal_set))*. % 299.97/300.36 20670[0:Res:545.1,547.0] || member(u,sigma(cross_product(v,range_of(cross_product(w,x))))) -> member(second(f16(u,cross_product(v,range_of(cross_product(w,x))))),x)*. % 299.97/300.36 20668[0:Res:545.1,560.0] || member(u,sigma(cross_product(v,domain_of(cross_product(w,x))))) -> member(second(f16(u,cross_product(v,domain_of(cross_product(w,x))))),w)*. % 299.97/300.36 20787[0:Res:558.1,274.0] || member(u,sigma(cross_product(restrict(v,w),x))) -> member(first(f16(u,cross_product(restrict(v,w),x))),cross_product(w,universal_set))*. % 299.97/300.36 20778[0:Res:558.1,547.0] || member(u,sigma(cross_product(range_of(cross_product(v,w)),x))) -> member(first(f16(u,cross_product(range_of(cross_product(v,w)),x))),w)*. % 299.97/300.36 20776[0:Res:558.1,560.0] || member(u,sigma(cross_product(domain_of(cross_product(v,w)),x))) -> member(first(f16(u,cross_product(domain_of(cross_product(v,w)),x))),v)*. % 299.97/300.36 20922[0:Res:557.1,274.0] || member(u,range_of(cross_product(restrict(v,w),x))) -> member(first(f27(u,cross_product(restrict(v,w),x))),cross_product(w,universal_set))*. % 299.97/300.36 20913[0:Res:557.1,547.0] || member(u,range_of(cross_product(range_of(cross_product(v,w)),x))) -> member(first(f27(u,cross_product(range_of(cross_product(v,w)),x))),w)*. % 299.97/300.36 20911[0:Res:557.1,560.0] || member(u,range_of(cross_product(domain_of(cross_product(v,w)),x))) -> member(first(f27(u,cross_product(domain_of(cross_product(v,w)),x))),v)*. % 299.97/300.36 21007[0:Rew:36.0,20978.0] || member(u,image(v,union(w,x))) member(f22(u,v,union(w,x)),intersection(complement(w),complement(x)))* -> . % 299.97/300.36 21013[0:MRR:20997.0,1340.1] || equal(f22(u,v,complement(ordered_pair(w,x))),non_ordered_pair(w,x)) member(u,image(v,complement(ordered_pair(w,x))))* -> . % 299.97/300.36 21071[0:Rew:36.0,21042.0] || member(u,apply(union(v,w),x)) member(f28(u,union(v,w),x),intersection(complement(v),complement(w)))* -> . % 299.97/300.36 21077[0:MRR:21061.0,1275.1] || equal(f28(u,complement(ordered_pair(v,w)),x),non_ordered_pair(v,w)) member(u,apply(complement(ordered_pair(v,w)),x))* -> . % 299.97/300.36 21227[0:Res:960.2,1421.0] || member(u,infinity)* subset(infinity,ordered_pair(v,w))* -> equal(successor(u),non_ordered_pair(v,w))* equal(successor(u),singleton_set(v)). % 299.97/300.36 21411[0:MRR:21401.0,106.1] || member(u,range_of(v)) subset(ordered_pair(u,first(f27(u,v))),w)* -> member(f27(u,v),converse(powerset(w))). % 299.97/300.36 21412[0:MRR:21396.0,37.1] || member(u,domain_of(v)) subset(ordered_pair(second(f8(u,v)),u),w)* -> member(f8(u,v),converse(powerset(w))). % 299.97/300.36 21441[0:Res:540.1,68.0] || member(u,v) -> single_valued_set(cross_product(w,u)) member(second(ordered_pair(f19(cross_product(w,u)),f21(cross_product(w,u)))),sigma(v))*. % 299.97/300.36 21440[0:Res:540.1,98.0] || member(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),w)* disjoint(w,v) -> single_valued_set(cross_product(u,v)). % 299.97/300.36 21601[0:Res:541.1,68.0] || member(u,v) -> single_valued_set(cross_product(w,u)) member(second(ordered_pair(f19(cross_product(w,u)),f20(cross_product(w,u)))),sigma(v))*. % 299.97/300.36 21600[0:Res:541.1,98.0] || member(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),w)* disjoint(w,v) -> single_valued_set(cross_product(u,v)). % 299.97/300.36 21680[0:Res:553.1,68.0] || member(u,v) -> single_valued_set(cross_product(u,w)) member(first(ordered_pair(f19(cross_product(u,w)),f21(cross_product(u,w)))),sigma(v))*. % 299.97/300.36 21679[0:Res:553.1,98.0] || member(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),w)* disjoint(w,u) -> single_valued_set(cross_product(u,v)). % 299.97/300.36 21769[0:Res:554.1,68.0] || member(u,v) -> single_valued_set(cross_product(u,w)) member(first(ordered_pair(f19(cross_product(u,w)),f20(cross_product(u,w)))),sigma(v))*. % 299.97/300.36 21768[0:Res:554.1,98.0] || member(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),w)* disjoint(w,u) -> single_valued_set(cross_product(u,v)). % 299.97/300.36 21867[0:Res:100.1,1009.0] || subset(u,v) -> disjoint(w,converse(u)) member(ordered_pair(second(f23(w,converse(u))),first(f23(w,converse(u)))),v)*. % 299.97/300.36 21853[0:Res:99.1,1009.0] || subset(u,v) -> disjoint(converse(u),w) member(ordered_pair(second(f23(converse(u),w)),first(f23(converse(u),w))),v)*. % 299.97/300.36 21851[0:Res:71.1,1009.0] || subset(u,v) -> subset(converse(u),w) member(ordered_pair(second(f17(converse(u),w)),first(f17(converse(u),w))),v)*. % 299.97/300.36 21932[0:Rew:95.1,21895.2] || member(u,image(v,converse(w))) subset(w,x) -> member(ordered_pair(u,first(f22(u,v,converse(w)))),x)*. % 299.97/300.36 21933[0:Rew:119.1,21881.2] || member(u,apply(converse(v),w)) subset(v,x) -> member(ordered_pair(second(f28(u,converse(v),w)),w),x)*. % 299.97/300.36 21984[0:Res:1079.2,1136.2] little_set(powerset(u)) little_set(v) || equal(powerset(u),w)* subset(v,u)* -> member(v,sigma(singleton_set(w)))*. % 299.97/300.36 21983[0:Res:77.2,1136.2] little_set(powerset(u)) little_set(v) || subset(powerset(u),w)* subset(v,u)* -> member(v,sigma(powerset(w)))*. % 299.97/300.36 22178[0:MRR:22164.0,1545.1] || equal(first(f22(u,complement(ordered_pair(v,w)),x)),singleton_set(v))** member(u,image(complement(ordered_pair(v,w)),x)) -> . % 299.97/300.36 22327[0:Res:5009.3,72.0] little_set(u) little_set(v) || member(f17(w,first(ordered_pair(v,u))),v)* -> subset(w,first(ordered_pair(v,u))). % 299.97/300.36 22321[0:Res:5009.3,4163.0] little_set(u) little_set(v) || member(f1(first(ordered_pair(v,u)),universal_set),v)* -> equal(first(ordered_pair(v,u)),universal_set). % 299.97/300.36 22301[0:Res:5009.3,68.0] little_set(u) little_set(v) || member(w,v)* member(first(ordered_pair(v,u)),x)* -> member(w,sigma(x))*. % 299.97/300.36 22300[0:Res:5009.3,98.0] little_set(u) little_set(v) || member(w,v)* member(w,x)* disjoint(x,first(ordered_pair(v,u)))* -> . % 299.97/300.36 22486[0:Res:46.1,5018.1] ordered_pair_predicate(u) || member(v,converse(f2(u)))* equal(w,u)* -> member(ordered_pair(second(v),first(v)),first(w))*. % 299.97/300.36 22470[0:Res:960.2,5018.1] ordered_pair_predicate(u) || member(v,infinity) subset(infinity,f2(u))* equal(w,u)* -> member(successor(v),first(w))*. % 299.97/300.36 22453[0:Res:955.2,5018.1] ordered_pair_predicate(u) || subset(v,f2(u))* equal(w,u)* -> subset(v,x) member(f17(v,x),first(w))*. % 299.97/300.36 22450[0:Res:961.2,5018.1] ordered_pair_predicate(u) || subset(v,f2(u))* equal(w,u)* -> disjoint(x,v) member(f23(x,v),first(w))*. % 299.97/300.36 22448[0:Res:954.2,5018.1] ordered_pair_predicate(u) || subset(v,f2(u))* equal(w,u)* -> disjoint(v,x) member(f23(v,x),first(w))*. % 299.97/300.36 22571[0:Res:5054.3,72.0] little_set(u) little_set(v) || member(f17(w,second(ordered_pair(v,u))),u)* -> subset(w,second(ordered_pair(v,u))). % 299.97/300.36 22565[0:Res:5054.3,4163.0] little_set(u) little_set(v) || member(f1(second(ordered_pair(v,u)),universal_set),u)* -> equal(second(ordered_pair(v,u)),universal_set). % 299.97/300.36 22545[0:Res:5054.3,68.0] little_set(u) little_set(v) || member(w,u)* member(second(ordered_pair(v,u)),x)* -> member(w,sigma(x))*. % 299.97/300.36 22544[0:Res:5054.3,98.0] little_set(u) little_set(v) || member(w,u)* member(w,x)* disjoint(x,second(ordered_pair(v,u)))* -> . % 299.97/300.36 22694[0:Res:46.1,5063.1] ordered_pair_predicate(u) || member(v,converse(f3(u)))* equal(w,u)* -> member(ordered_pair(second(v),first(v)),second(w))*. % 299.97/300.36 22678[0:Res:960.2,5063.1] ordered_pair_predicate(u) || member(v,infinity) subset(infinity,f3(u))* equal(w,u)* -> member(successor(v),second(w))*. % 299.97/300.36 22661[0:Res:955.2,5063.1] ordered_pair_predicate(u) || subset(v,f3(u))* equal(w,u)* -> subset(v,x) member(f17(v,x),second(w))*. % 299.97/300.36 22658[0:Res:961.2,5063.1] ordered_pair_predicate(u) || subset(v,f3(u))* equal(w,u)* -> disjoint(x,v) member(f23(x,v),second(w))*. % 299.97/300.36 22656[0:Res:954.2,5063.1] ordered_pair_predicate(u) || subset(v,f3(u))* equal(w,u)* -> disjoint(v,x) member(f23(v,x),second(w))*. % 299.97/300.36 22764[0:SpL:372.0,1081.2] little_set(u) || equal(u,ordered_pair(v,w))* subset(ordered_pair(singleton_set(v),non_ordered_pair(v,w)),x)* -> member(u,x)*. % 299.97/300.36 22796[0:Res:3821.1,68.0] || member(u,v) -> equal(u,powerset(w)) subset(f1(u,powerset(w)),w)* member(f1(u,powerset(w)),sigma(v))*. % 299.97/300.36 22795[0:Res:3821.1,98.0] || member(f1(u,powerset(v)),w)* disjoint(w,u) -> equal(u,powerset(v)) subset(f1(u,powerset(v)),v)*. % 299.97/300.36 22891[0:Res:3839.1,68.0] || member(u,v) -> equal(powerset(w),u) subset(f1(powerset(w),u),w)* member(f1(powerset(w),u),sigma(v))*. % 299.97/300.36 22890[0:Res:3839.1,98.0] || member(f1(powerset(u),v),w)* disjoint(w,v) -> equal(powerset(u),v) subset(f1(powerset(u),v),u)*. % 299.97/300.36 22993[0:Res:1339.2,4238.0] || member(u,image(v,w))* subset(w,compose(x,y))* equal(z,f22(u,v,w))* -> ordered_pair_predicate(z)*. % 299.97/300.36 22982[0:Res:1339.2,68.0] || member(u,image(v,w)) subset(w,x)* member(x,y)* -> member(f22(u,v,w),sigma(y))*. % 299.97/300.36 22981[0:Res:1339.2,98.0] || member(u,image(v,w)) subset(w,x)* member(f22(u,v,w),y)* disjoint(y,x)* -> . % 299.97/300.36 23074[0:Res:1274.2,68.0] || member(u,apply(v,w)) subset(v,x)* member(x,y)* -> member(f28(u,v,w),sigma(y))*. % 299.97/300.36 23073[0:Res:1274.2,98.0] || member(u,apply(v,w)) subset(v,x)* member(f28(u,v,w),y)* disjoint(y,x)* -> . % 299.97/300.36 23168[0:Res:1350.1,4578.0] || member(u,image(v,intersection(rotate_right(w),x)))* equal(y,f22(u,v,intersection(rotate_right(w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.36 23166[0:Res:1350.1,4549.0] || member(u,image(v,intersection(flip_range_of(w),x)))* equal(y,f22(u,v,intersection(flip_range_of(w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.36 23163[0:Res:1350.1,42.0] || member(u,image(v,intersection(cross_product(w,x),y))) -> member(first(f22(u,v,intersection(cross_product(w,x),y))),w)*. % 299.97/300.36 23158[0:Res:1350.1,68.0] || member(u,image(v,intersection(w,x))) member(w,y) -> member(f22(u,v,intersection(w,x)),sigma(y))*. % 299.97/300.36 23157[0:Res:1350.1,98.0] || member(u,image(v,intersection(w,x))) member(f22(u,v,intersection(w,x)),y)* disjoint(y,w) -> . % 299.97/300.36 23253[0:Res:1351.1,4578.0] || member(u,image(v,intersection(w,rotate_right(x))))* equal(y,f22(u,v,intersection(w,rotate_right(x))))* -> ordered_pair_predicate(y)*. % 299.97/300.36 23251[0:Res:1351.1,4549.0] || member(u,image(v,intersection(w,flip_range_of(x))))* equal(y,f22(u,v,intersection(w,flip_range_of(x))))* -> ordered_pair_predicate(y)*. % 299.97/300.36 23248[0:Res:1351.1,42.0] || member(u,image(v,intersection(w,cross_product(x,y)))) -> member(first(f22(u,v,intersection(w,cross_product(x,y)))),x)*. % 299.97/300.36 23243[0:Res:1351.1,68.0] || member(u,image(v,intersection(w,x))) member(x,y) -> member(f22(u,v,intersection(w,x)),sigma(y))*. % 299.97/300.36 23242[0:Res:1351.1,98.0] || member(u,image(v,intersection(w,x))) member(f22(u,v,intersection(w,x)),y)* disjoint(y,x) -> . % 299.97/300.36 23334[0:Res:1285.1,43.0] || member(u,apply(intersection(cross_product(v,w),x),y)) -> member(second(f28(u,intersection(cross_product(v,w),x),y)),w)*. % 299.97/300.36 23328[0:Res:1285.1,68.0] || member(u,apply(intersection(v,w),x)) member(v,y) -> member(f28(u,intersection(v,w),x),sigma(y))*. % 299.97/300.36 23327[0:Res:1285.1,98.0] || member(u,apply(intersection(v,w),x)) member(f28(u,intersection(v,w),x),y)* disjoint(y,v) -> . % 299.97/300.36 23435[0:Res:1286.1,43.0] || member(u,apply(intersection(v,cross_product(w,x)),y)) -> member(second(f28(u,intersection(v,cross_product(w,x)),y)),x)*. % 299.97/300.36 23429[0:Res:1286.1,68.0] || member(u,apply(intersection(v,w),x)) member(w,y) -> member(f28(u,intersection(v,w),x),sigma(y))*. % 299.97/300.36 23428[0:Res:1286.1,98.0] || member(u,apply(intersection(v,w),x)) member(f28(u,intersection(v,w),x),y)* disjoint(y,w) -> . % 299.97/300.36 23688[6:Rew:5392.0,23675.1] || equal(intersection(complement(u),complement(v)),universal_set) -> equal(successor(intersection(complement(u),complement(v))),complement(intersection(union(u,v),universal_set)))**. % 299.97/300.36 23976[0:SSi:23960.0,371.0] || equal(ordered_pair(second(u),first(u)),non_ordered_pair(v,w))* member(u,converse(x))* disjoint(ordered_pair(v,w),x)* -> . % 299.97/300.36 24952[0:SSi:24941.0,11.0] little_set(u) || equal(non_ordered_pair(v,w),non_ordered_pair(x,y))* equal(u,w)* -> member(u,sigma(ordered_pair(x,y)))*. % 299.97/300.36 25007[0:SSi:24997.0,11.0] little_set(u) || equal(non_ordered_pair(v,w),non_ordered_pair(x,y))* equal(u,v)* -> member(u,sigma(ordered_pair(x,y)))*. % 299.97/300.36 25421[0:Res:1544.2,1354.0] || member(u,image(v,w)) subset(v,image(x,cross_product(y,z)))* -> member(first(f22(u,v,w)),z)*. % 299.97/300.36 25419[0:Res:1544.2,274.0] || member(u,image(v,w)) subset(v,restrict(x,y))* -> member(first(f22(u,v,w)),cross_product(y,universal_set))*. % 299.97/300.36 25390[0:Res:1544.2,4578.0] || member(u,image(v,w)) subset(v,rotate_right(x))* equal(y,first(f22(u,v,w)))* -> ordered_pair_predicate(y)*. % 299.97/300.36 25388[0:Res:1544.2,4549.0] || member(u,image(v,w)) subset(v,flip_range_of(x))* equal(y,first(f22(u,v,w)))* -> ordered_pair_predicate(y)*. % 299.97/300.36 25381[0:Res:1544.2,70.0] || member(u,image(v,w)) subset(v,x)* subset(x,y)* -> member(first(f22(u,v,w)),y)*. % 299.97/300.36 25511[0:MRR:25488.0,1275.1] || equal(f28(u,v,w),non_ordered_pair(x,y))* member(u,apply(v,w))* disjoint(ordered_pair(x,y),v)* -> . % 299.97/300.36 25645[0:MRR:25622.0,1340.1] || equal(f22(u,v,w),non_ordered_pair(x,y))* member(u,image(v,w))* disjoint(ordered_pair(x,y),w)* -> . % 299.97/300.36 25694[0:Res:1338.2,70.0] || member(u,image(v,w)) member(w,x)* subset(sigma(x),y)* -> member(f22(u,v,w),y)*. % 299.97/300.36 25734[0:Res:1273.2,70.0] || member(u,apply(v,w)) member(v,x)* subset(sigma(x),y)* -> member(f28(u,v,w),y)*. % 299.97/300.36 25794[0:Res:1344.1,282.0] || member(u,image(v,cross_product(restrict(w,x),y))) -> member(first(f22(u,v,cross_product(restrict(w,x),y))),w)*. % 299.97/300.36 25792[0:Res:1344.1,15955.0] || member(u,image(v,cross_product(sigma(powerset(w)),x))) -> member(first(f22(u,v,cross_product(sigma(powerset(w)),x))),w)*. % 299.97/300.36 25788[0:Res:1344.1,32.0] || member(u,image(v,cross_product(intersection(w,x),y))) -> member(first(f22(u,v,cross_product(intersection(w,x),y))),x)*. % 299.97/300.36 25787[0:Res:1344.1,31.0] || member(u,image(v,cross_product(intersection(w,x),y))) -> member(first(f22(u,v,cross_product(intersection(w,x),y))),w)*. % 299.97/300.36 25780[0:Res:1344.1,10964.0] || member(u,image(v,cross_product(complement(complement(w)),x))) -> member(first(f22(u,v,cross_product(complement(complement(w)),x))),w)*. % 299.97/300.36 25757[0:Res:1344.1,70.0] || member(u,image(v,cross_product(w,x))) subset(w,y) -> member(first(f22(u,v,cross_product(w,x))),y)*. % 299.97/300.36 25931[0:Res:1555.1,282.0] || member(u,image(intersection(restrict(v,w),x),y)) -> member(first(f22(u,intersection(restrict(v,w),x),y)),v)*. % 299.97/300.36 25929[0:Res:1555.1,15955.0] || member(u,image(intersection(sigma(powerset(v)),w),x)) -> member(first(f22(u,intersection(sigma(powerset(v)),w),x)),v)*. % 299.97/300.36 25925[0:Res:1555.1,32.0] || member(u,image(intersection(intersection(v,w),x),y)) -> member(first(f22(u,intersection(intersection(v,w),x),y)),w)*. % 299.97/300.36 25924[0:Res:1555.1,31.0] || member(u,image(intersection(intersection(v,w),x),y)) -> member(first(f22(u,intersection(intersection(v,w),x),y)),v)*. % 299.97/300.36 25917[0:Res:1555.1,10964.0] || member(u,image(intersection(complement(complement(v)),w),x)) -> member(first(f22(u,intersection(complement(complement(v)),w),x)),v)*. % 299.97/300.36 25894[0:Res:1555.1,70.0] || member(u,image(intersection(v,w),x)) subset(v,y) -> member(first(f22(u,intersection(v,w),x)),y)*. % 299.97/300.36 26088[0:Res:1556.1,282.0] || member(u,image(intersection(v,restrict(w,x)),y)) -> member(first(f22(u,intersection(v,restrict(w,x)),y)),w)*. % 299.97/300.36 26086[0:Res:1556.1,15955.0] || member(u,image(intersection(v,sigma(powerset(w))),x)) -> member(first(f22(u,intersection(v,sigma(powerset(w))),x)),w)*. % 299.97/300.36 26082[0:Res:1556.1,32.0] || member(u,image(intersection(v,intersection(w,x)),y)) -> member(first(f22(u,intersection(v,intersection(w,x)),y)),x)*. % 299.97/300.36 26081[0:Res:1556.1,31.0] || member(u,image(intersection(v,intersection(w,x)),y)) -> member(first(f22(u,intersection(v,intersection(w,x)),y)),w)*. % 299.97/300.36 26074[0:Res:1556.1,10964.0] || member(u,image(intersection(v,complement(complement(w))),x)) -> member(first(f22(u,intersection(v,complement(complement(w))),x)),w)*. % 299.97/300.36 26051[0:Res:1556.1,70.0] || member(u,image(intersection(v,w),x)) subset(w,y) -> member(first(f22(u,intersection(v,w),x)),y)*. % 299.97/300.36 26158[0:Res:1280.1,282.0] || member(u,apply(cross_product(v,restrict(w,x)),y)) -> member(second(f28(u,cross_product(v,restrict(w,x)),y)),w)*. % 299.97/300.36 26156[0:Res:1280.1,15955.0] || member(u,apply(cross_product(v,sigma(powerset(w))),x)) -> member(second(f28(u,cross_product(v,sigma(powerset(w))),x)),w)*. % 299.97/300.36 26152[0:Res:1280.1,32.0] || member(u,apply(cross_product(v,intersection(w,x)),y)) -> member(second(f28(u,cross_product(v,intersection(w,x)),y)),x)*. % 299.97/300.36 26151[0:Res:1280.1,31.0] || member(u,apply(cross_product(v,intersection(w,x)),y)) -> member(second(f28(u,cross_product(v,intersection(w,x)),y)),w)*. % 299.97/300.36 26144[0:Res:1280.1,10964.0] || member(u,apply(cross_product(v,complement(complement(w))),x)) -> member(second(f28(u,cross_product(v,complement(complement(w))),x)),w)*. % 299.97/300.36 26121[0:Res:1280.1,70.0] || member(u,apply(cross_product(v,w),x)) subset(w,y) -> member(second(f28(u,cross_product(v,w),x)),y)*. % 299.97/300.36 26569[0:Res:13861.1,4165.0] || disjoint(u,f1(v,powerset(complement(u))))* member(f1(v,powerset(complement(u))),v)* -> equal(v,powerset(complement(u))). % 299.97/300.36 26566[0:Res:13775.1,4165.0] || member(f1(u,powerset(sigma(v))),v)* member(f1(u,powerset(sigma(v))),u)* -> equal(u,powerset(sigma(v))). % 299.97/300.36 26879[0:MRR:26856.0,1545.1] || equal(first(f22(u,v,w)),singleton_set(x))* member(u,image(v,w)) disjoint(ordered_pair(x,y),v)* -> . % 299.97/300.36 26895[7:Res:26416.1,3812.0] || subset(universal_set,powerset(u)) -> equal(v,sigma(infinity)) member(f1(v,sigma(infinity)),v)* member(f1(v,sigma(infinity)),u)*. % 299.97/300.36 26894[7:Res:26416.1,3830.0] || subset(universal_set,powerset(u)) -> equal(sigma(infinity),v) member(f1(sigma(infinity),v),v)* member(f1(sigma(infinity),v),u)*. % 299.97/300.36 27014[7:Res:26830.1,6192.1] || disjoint(universal_set,complement(second(u)))* member(u,v)* equal(first(u),w)* -> member(sigma(infinity),apply(v,w))*. % 299.97/300.36 27064[0:Res:1549.1,34.1] || member(u,image(cross_product(complement(v),w),x)) member(first(first(f22(u,cross_product(complement(v),w),x))),v)* -> . % 299.97/300.36 27050[6:Res:1549.1,10804.1] || member(u,image(cross_product(rotate_right(v),w),x)) equal(first(first(f22(u,cross_product(rotate_right(v),w),x))),universal_set)** -> . % 299.97/300.36 27048[6:Res:1549.1,10803.1] || member(u,image(cross_product(flip_range_of(v),w),x)) equal(first(first(f22(u,cross_product(flip_range_of(v),w),x))),universal_set)** -> . % 299.97/300.36 27159[7:Res:26831.1,6192.1] || disjoint(complement(second(u)),universal_set)* member(u,v)* equal(first(u),w)* -> member(sigma(infinity),apply(v,w))*. % 299.97/300.36 27209[0:Res:1550.1,34.1] || member(u,image(cross_product(v,complement(w)),x)) member(second(first(f22(u,cross_product(v,complement(w)),x))),w)* -> . % 299.97/300.36 27195[6:Res:1550.1,10804.1] || member(u,image(cross_product(v,rotate_right(w)),x)) equal(second(first(f22(u,cross_product(v,rotate_right(w)),x))),universal_set)** -> . % 299.97/300.36 27193[6:Res:1550.1,10803.1] || member(u,image(cross_product(v,flip_range_of(w)),x)) equal(second(first(f22(u,cross_product(v,flip_range_of(w)),x))),universal_set)** -> . % 299.97/300.36 28349[0:MRR:28323.0,5.0] || equal(f1(u,v),singleton_set(w))* disjoint(ordered_pair(w,x),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.36 28565[0:Res:65.1,3811.0] || member(u,infinity) -> equal(v,successor(u)) member(f1(v,successor(u)),v)* member(f1(v,successor(u)),sigma(infinity))*. % 299.97/300.36 28451[7:Res:26333.1,3811.0] || subset(universal_set,u) -> equal(v,sigma(infinity)) member(f1(v,sigma(infinity)),v)* member(f1(v,sigma(infinity)),sigma(u))*. % 299.97/300.36 28427[0:Res:67.1,3811.0] || member(u,sigma(v)) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(f16(u,v)))*. % 299.97/300.36 28426[0:Res:21.1,3811.0] || member(u,first(v)) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(f4(u,v)))*. % 299.97/300.36 28425[0:Res:26.1,3811.0] || member(u,second(v)) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(f7(u,v)))*. % 299.97/300.36 28420[0:Res:35.2,3811.0] little_set(u) || -> member(u,v) equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(complement(v)))*. % 299.97/300.36 28724[0:MRR:28695.0,5.0] || equal(f1(u,v),singleton_set(w))* disjoint(ordered_pair(w,x),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.36 28942[0:Res:65.1,3829.0] || member(u,infinity) -> equal(successor(u),v) member(f1(successor(u),v),v)* member(f1(successor(u),v),sigma(infinity))*. % 299.97/300.36 28828[7:Res:26333.1,3829.0] || subset(universal_set,u) -> equal(sigma(infinity),v) member(f1(sigma(infinity),v),v)* member(f1(sigma(infinity),v),sigma(u))*. % 299.97/300.36 28804[0:Res:67.1,3829.0] || member(u,sigma(v)) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(f16(u,v)))*. % 299.97/300.36 28803[0:Res:21.1,3829.0] || member(u,first(v)) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(f4(u,v)))*. % 299.97/300.36 28802[0:Res:26.1,3829.0] || member(u,second(v)) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(f7(u,v)))*. % 299.97/300.36 28797[0:Res:35.2,3829.0] little_set(u) || -> member(u,v) equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(complement(v)))*. % 299.97/300.36 29771[7:Res:26830.1,5019.1] || disjoint(universal_set,complement(f4(u,v)))* member(u,first(v)) equal(w,v)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 29770[7:Res:26831.1,5019.1] || disjoint(complement(f4(u,v)),universal_set)* member(u,first(v)) equal(w,v)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30184[7:Res:26830.1,5020.1] || disjoint(universal_set,complement(f6(u,v)))* member(u,second(v)) equal(w,v)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30183[7:Res:26831.1,5020.1] || disjoint(complement(f6(u,v)),universal_set)* member(u,second(v)) equal(w,v)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30295[7:Res:26830.1,5022.1] || disjoint(universal_set,complement(f9(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30294[7:Res:26831.1,5022.1] || disjoint(complement(f9(u,v)),universal_set)* member(u,rotate_right(v)) equal(w,u)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30438[7:Res:26830.1,5024.1] || disjoint(universal_set,complement(f12(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30437[7:Res:26831.1,5024.1] || disjoint(complement(f12(u,v)),universal_set)* member(u,flip_range_of(v)) equal(w,u)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 30591[7:Res:26830.1,5064.1] || disjoint(universal_set,complement(f5(u,v)))* member(u,first(v)) equal(w,v)* -> member(sigma(infinity),second(w))*. % 299.97/300.36 30590[7:Res:26831.1,5064.1] || disjoint(complement(f5(u,v)),universal_set)* member(u,first(v)) equal(w,v)* -> member(sigma(infinity),second(w))*. % 299.97/300.36 30748[7:Res:26830.1,5065.1] || disjoint(universal_set,complement(f7(u,v)))* member(u,second(v)) equal(w,v)* -> member(sigma(infinity),second(w))*. % 299.97/300.36 30747[7:Res:26831.1,5065.1] || disjoint(complement(f7(u,v)),universal_set)* member(u,second(v)) equal(w,v)* -> member(sigma(infinity),second(w))*. % 299.97/300.36 31020[0:Obv:30966.1] || subset(non_ordered_pair(u,v),w)* -> equal(f23(non_ordered_pair(u,v),x),v)** disjoint(non_ordered_pair(u,v),x) member(u,w). % 299.97/300.36 31023[0:Obv:30946.1] || subset(non_ordered_pair(u,v),w)* -> equal(f23(non_ordered_pair(u,v),x),u)** disjoint(non_ordered_pair(u,v),x) member(v,w). % 299.97/300.36 31157[0:Obv:31104.1] || subset(non_ordered_pair(u,v),w)* -> equal(f23(x,non_ordered_pair(u,v)),v)** disjoint(x,non_ordered_pair(u,v)) member(u,w). % 299.97/300.36 31160[0:Obv:31082.1] || subset(non_ordered_pair(u,v),w)* -> equal(f23(x,non_ordered_pair(u,v)),u)** disjoint(x,non_ordered_pair(u,v)) member(v,w). % 299.97/300.36 31275[0:Obv:31239.1] || subset(non_ordered_pair(u,v),w)* -> equal(f17(non_ordered_pair(u,v),x),v)** subset(non_ordered_pair(u,v),x) member(u,w). % 299.97/300.36 31276[0:Obv:31227.1] || subset(non_ordered_pair(u,v),w)* -> equal(f17(non_ordered_pair(u,v),x),u)** subset(non_ordered_pair(u,v),x) member(v,w). % 299.97/300.36 31416[6:Res:3824.2,10857.1] || equal(successor(f1(u,intersection(infinity,v))),universal_set) -> equal(u,intersection(infinity,v)) member(f1(u,intersection(infinity,v)),u)*. % 299.97/300.36 31358[6:Res:3824.1,10857.1] || equal(successor(f1(infinity,intersection(u,v))),universal_set) -> equal(intersection(u,v),infinity) member(f1(infinity,intersection(u,v)),u)*. % 299.97/300.36 31626[6:Res:3825.2,10857.1] || equal(successor(f1(u,intersection(v,infinity))),universal_set) -> equal(u,intersection(v,infinity)) member(f1(u,intersection(v,infinity)),u)*. % 299.97/300.36 31568[6:Res:3825.1,10857.1] || equal(successor(f1(infinity,intersection(u,v))),universal_set) -> equal(intersection(u,v),infinity) member(f1(infinity,intersection(u,v)),v)*. % 299.97/300.36 31809[6:Res:3842.2,10857.1] || equal(successor(f1(intersection(infinity,u),v)),universal_set) -> equal(intersection(infinity,u),v) member(f1(intersection(infinity,u),v),v)*. % 299.97/300.36 31751[6:Res:3842.1,10857.1] || equal(successor(f1(intersection(u,v),infinity)),universal_set) -> equal(intersection(u,v),infinity) member(f1(intersection(u,v),infinity),u)*. % 299.97/300.36 31990[6:Res:3843.2,10857.1] || equal(successor(f1(intersection(u,infinity),v)),universal_set) -> equal(intersection(u,infinity),v) member(f1(intersection(u,infinity),v),v)*. % 299.97/300.36 31932[6:Res:3843.1,10857.1] || equal(successor(f1(intersection(u,v),infinity)),universal_set) -> equal(intersection(u,v),infinity) member(f1(intersection(u,v),infinity),v)*. % 299.97/300.36 32188[2:Res:1008.2,25810.0] || member(u,range_of(v)) member(f27(u,v),converse(image(w,cross_product(ordered_pair(u,first(f27(u,v))),x))))* -> . % 299.97/300.36 32186[2:Res:1008.2,25950.0] || member(u,range_of(v)) member(f27(u,v),converse(image(restrict(ordered_pair(u,first(f27(u,v))),w),x)))* -> . % 299.97/300.36 32185[2:Res:1008.2,26103.0] || member(u,range_of(v)) member(f27(u,v),converse(image(intersection(w,ordered_pair(u,first(f27(u,v)))),x)))* -> . % 299.97/300.36 32184[2:Res:1008.2,25946.0] || member(u,range_of(v)) member(f27(u,v),converse(image(intersection(ordered_pair(u,first(f27(u,v))),w),x)))* -> . % 299.97/300.36 32165[0:Res:1008.2,1444.0] || member(u,range_of(v)) member(f27(u,v),converse(singleton_set(w)))* -> equal(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.36 32359[2:Res:1007.2,25810.0] || member(u,domain_of(v)) member(f8(u,v),converse(image(w,cross_product(ordered_pair(second(f8(u,v)),u),x))))* -> . % 299.97/300.36 32357[2:Res:1007.2,25950.0] || member(u,domain_of(v)) member(f8(u,v),converse(image(restrict(ordered_pair(second(f8(u,v)),u),w),x)))* -> . % 299.97/300.36 32356[2:Res:1007.2,26103.0] || member(u,domain_of(v)) member(f8(u,v),converse(image(intersection(w,ordered_pair(second(f8(u,v)),u)),x)))* -> . % 299.97/300.36 32355[2:Res:1007.2,25946.0] || member(u,domain_of(v)) member(f8(u,v),converse(image(intersection(ordered_pair(second(f8(u,v)),u),w),x)))* -> . % 299.97/300.36 32336[0:Res:1007.2,1444.0] || member(u,domain_of(v)) member(f8(u,v),converse(singleton_set(w)))* -> equal(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.36 32428[0:SSi:32407.0,371.0] || equal(ordered_pair(u,first(f27(u,v))),w)* member(u,range_of(v)) -> member(f27(u,v),converse(singleton_set(w)))*. % 299.97/300.36 32510[0:SSi:32489.0,371.0] || equal(ordered_pair(second(f8(u,v)),u),w)* member(u,domain_of(v)) -> member(f8(u,v),converse(singleton_set(w)))*. % 299.97/300.36 32552[7:SoR:6223.0,32539.1] || member(u,v) member(first(u),w) equal(sigma(infinity),second(u)) -> member(second(u),image(w,v))*. % 299.97/300.36 32569[3:Res:11437.1,6198.3] || subset(cross_product(u,v),w)* member(second(x),v)* member(first(x),u)* member(x,complement(w))* -> . % 299.97/300.36 33439[7:Res:33376.1,5065.1] || member(universal_set,powerset(f7(u,v)))* member(u,second(v)) equal(w,v)* -> member(sigma(infinity),second(w))*. % 299.97/300.36 33438[7:Res:33376.1,5064.1] || member(universal_set,powerset(f5(u,v)))* member(u,first(v)) equal(w,v)* -> member(sigma(infinity),second(w))*. % 299.97/300.36 33437[7:Res:33376.1,5024.1] || member(universal_set,powerset(f12(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 33436[7:Res:33376.1,5022.1] || member(universal_set,powerset(f9(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 33435[7:Res:33376.1,5020.1] || member(universal_set,powerset(f6(u,v)))* member(u,second(v)) equal(w,v)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 33434[7:Res:33376.1,5019.1] || member(universal_set,powerset(f4(u,v)))* member(u,first(v)) equal(w,v)* -> member(sigma(infinity),first(w))*. % 299.97/300.36 33432[7:Res:33376.1,6192.1] || member(universal_set,powerset(second(u)))* member(u,v)* equal(first(u),w)* -> member(sigma(infinity),apply(v,w))*. % 299.97/300.36 33470[0:SoR:5214.3,90.1] little_set(u) little_set(v) little_set(w) function(universal_set) || member(ordered_pair(w,v),universal_set)* -> equal(v,u)*. % 299.97/300.36 35349[2:Res:4273.2,20934.0] || member(u,compose(v,w)) subset(w,range_of(cross_product(ordered_pair(f31(u,v,w),f30(u,v,w)),x)))* -> . % 299.97/300.36 35469[2:Res:4348.2,20934.0] || member(u,compose(v,w)) subset(v,range_of(cross_product(ordered_pair(f29(u,v,w),f31(u,v,w)),x)))* -> . % 299.97/300.36 36359[0:Obv:36353.1] little_set(u) || member(v,w)* member(x,domain_of(v))* equal(u,x)* -> member(u,domain_of(sigma(w)))*. % 299.97/300.36 36520[0:Obv:36514.1] little_set(u) || member(v,w)* member(x,range_of(v))* equal(u,x)* -> member(u,range_of(sigma(w)))*. % 299.97/300.36 36595[2:Res:4622.2,17597.0] || member(u,flip_range_of(v)) subset(v,image(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w))* -> . % 299.97/300.36 37023[2:Res:4770.2,17597.0] || member(u,rotate_right(v)) subset(v,image(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w))* -> . % 299.97/300.36 39022[3:Obv:39014.0] || member(u,v)* equal(first(u),w)* member(x,sigma(second(u)))* -> member(x,sigma(apply(v,w)))*. % 299.97/300.36 39053[3:Res:10.2,20705.0] little_set(complement(sigma(non_ordered_pair(u,v)))) || equal(complement(sigma(non_ordered_pair(u,v))),v) -> member(infinity,sigma(non_ordered_pair(u,v)))*. % 299.97/300.36 39052[3:Res:9.2,20705.0] little_set(complement(sigma(non_ordered_pair(u,v)))) || equal(complement(sigma(non_ordered_pair(u,v))),u) -> member(infinity,sigma(non_ordered_pair(u,v)))*. % 299.97/300.36 40767[2:Res:1468.2,17676.0] || member(u,image(v,w)) member(f22(u,v,w),converse(apply_to_two_arguments(x,u,first(f22(u,v,w)))))* -> . % 299.97/300.36 40911[2:Res:1464.2,17676.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(apply_to_two_arguments(x,second(f28(u,v,w)),w)))* -> . % 299.97/300.36 42204[0:Obv:42201.1] little_set(u) || subset(v,w)* member(x,apply(v,y))* equal(u,y)* -> member(u,domain_of(w))*. % 299.97/300.36 42281[0:Obv:42276.1] little_set(u) || subset(v,w)* member(x,image(y,v))* equal(u,x)* -> member(u,range_of(w))*. % 299.97/300.36 43658[14:Res:42571.1,5065.1] || subset(universal_set,f7(u,v))* member(u,second(v)) equal(w,v)* -> member(ordered_pair(universal_set,x),second(w))*. % 299.97/300.36 43657[14:Res:42571.1,5064.1] || subset(universal_set,f5(u,v))* member(u,first(v)) equal(w,v)* -> member(ordered_pair(universal_set,x),second(w))*. % 299.97/300.36 43656[14:Res:42571.1,5024.1] || subset(universal_set,f12(u,v))* member(u,flip_range_of(v)) equal(w,u)* -> member(ordered_pair(universal_set,x),first(w))*. % 299.97/300.36 43655[14:Res:42571.1,5022.1] || subset(universal_set,f9(u,v))* member(u,rotate_right(v)) equal(w,u)* -> member(ordered_pair(universal_set,x),first(w))*. % 299.97/300.36 43654[14:Res:42571.1,5020.1] || subset(universal_set,f6(u,v))* member(u,second(v)) equal(w,v)* -> member(ordered_pair(universal_set,x),first(w))*. % 299.97/300.36 43653[14:Res:42571.1,5019.1] || subset(universal_set,f4(u,v))* member(u,first(v)) equal(w,v)* -> member(ordered_pair(universal_set,x),first(w))*. % 299.97/300.36 43651[14:Res:42571.1,6192.1] || subset(universal_set,second(u))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(universal_set,x),apply(v,w))*. % 299.97/300.36 43605[14:Res:42571.1,1163.0] || subset(universal_set,converse(u))* member(u,v)* -> member(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),sigma(v))*. % 299.97/300.36 44010[0:MRR:43985.0,43985.1,85.1,83.1] || equal(u,v)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),w)** ordered_pair_predicate(u)*. % 299.97/300.36 44011[0:MRR:43971.0,43971.1,85.1,83.1] || equal(u,v)* -> single_valued_set(non_ordered_pair(w,v)) equal(ordered_pair(f19(non_ordered_pair(w,v)),f21(non_ordered_pair(w,v))),w)** ordered_pair_predicate(u)*. % 299.97/300.36 44154[0:MRR:44129.0,44129.1,84.1,83.1] || equal(u,v)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),w)** ordered_pair_predicate(u)*. % 299.97/300.36 44155[0:MRR:44115.0,44115.1,84.1,83.1] || equal(u,v)* -> single_valued_set(non_ordered_pair(w,v)) equal(ordered_pair(f19(non_ordered_pair(w,v)),f20(non_ordered_pair(w,v))),w)** ordered_pair_predicate(u)*. % 299.97/300.36 44230[3:Res:6216.3,17668.0] || member(u,image(second(v),w)) member(v,x)* equal(first(f22(u,second(v),w)),first(v))** -> . % 299.97/300.36 59583[16:Rew:375.0,55193.0] || member(singleton_set(singleton_set(a)),ordered_pair(f19(powerset(cross_product(set_a,set_b))),f21(powerset(cross_product(set_a,set_b)))))* -> single_valued_set(powerset(cross_product(set_a,set_b))). % 299.97/300.36 59584[16:Rew:375.0,55194.0] || member(singleton_set(singleton_set(a)),ordered_pair(f19(powerset(cross_product(set_a,set_b))),f20(powerset(cross_product(set_a,set_b)))))* -> single_valued_set(powerset(cross_product(set_a,set_b))). % 299.97/300.36 59585[16:Rew:375.0,55199.1] || member(u,image(v,powerset(cross_product(set_a,set_b)))) member(singleton_set(singleton_set(a)),f22(u,v,powerset(cross_product(set_a,set_b))))* -> . % 299.97/300.36 59586[16:Rew:375.0,55200.1] || member(u,apply(powerset(cross_product(set_a,set_b)),v)) member(singleton_set(singleton_set(a)),f28(u,powerset(cross_product(set_a,set_b)),v))* -> . % 299.97/300.36 55449[16:Rew:54986.0,48680.2] || member(non_ordered_pair(u,v),w)* -> equal(f24(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) member(u,sigma(w)). % 299.97/300.36 55450[16:Rew:54986.0,48679.2] || member(non_ordered_pair(u,v),w)* -> equal(f24(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) member(v,sigma(w)). % 299.97/300.36 55451[16:Rew:54986.0,48672.2] || member(non_ordered_pair(u,v),w)* -> equal(f26(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) member(u,sigma(w)). % 299.97/300.36 55452[16:Rew:54986.0,48670.2] || member(non_ordered_pair(u,v),w)* -> equal(f26(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) member(v,sigma(w)). % 299.97/300.36 59587[16:Rew:54986.0,55751.3] || member(u,v) equal(first(u),w) -> equal(second(u),a) member(f1(a,second(u)),apply(v,w))*. % 299.97/300.36 59588[16:Rew:54986.0,55752.3] || member(u,v) equal(first(u),w) -> equal(second(u),a) member(f1(second(u),a),apply(v,w))*. % 299.97/300.36 55984[16:Rew:54986.0,49001.3] || member(second(f24(u)),v)* member(first(f24(u)),w)* disjoint(cross_product(w,v),u)* -> equal(u,a). % 299.97/300.36 55985[16:Rew:54986.0,48955.3] little_set(u) || subset(u,intersection(complement(v),complement(w)))* member(f26(u),union(v,w)) -> equal(u,a). % 299.97/300.36 55986[16:Rew:54986.0,48905.3] || member(f24(u),cross_product(v,universal_set))* member(f24(u),w) disjoint(restrict(w,v),u)* -> equal(u,a). % 299.97/300.36 55987[16:Rew:54986.0,48877.3] little_set(u) || subset(f25,compose(v,w))* equal(x,ordered_pair(u,f26(u)))* -> equal(u,a) ordered_pair_predicate(x)*. % 299.97/300.36 55988[16:Rew:54986.0,48876.3] little_set(u) || subset(f25,v)* member(v,w)* -> equal(u,a) member(ordered_pair(u,f26(u)),sigma(w))*. % 299.97/300.36 55989[16:Rew:54986.0,48875.4] little_set(u) || subset(f25,v)* member(ordered_pair(u,f26(u)),w)* disjoint(w,v)* -> equal(u,a). % 299.97/300.36 55990[16:Rew:54986.0,48863.2] || subset(u,converse(v))* subset(v,w)* -> equal(u,a) member(ordered_pair(second(f24(u)),first(f24(u))),w)*. % 299.97/300.36 59589[16:Rew:54986.0,55991.2] little_set(u) || disjoint(singleton_set(ordered_pair(u,f26(u))),f25)* -> equal(singleton_set(ordered_pair(u,f26(u))),a) equal(u,a). % 299.97/300.36 55992[16:Rew:54986.0,48838.3] little_set(u) || equal(ordered_pair(u,f26(u)),non_ordered_pair(v,w))* disjoint(ordered_pair(v,w),f25)* -> equal(u,a). % 299.97/300.36 55993[16:Rew:54986.0,48830.3] little_set(u) || member(f25,v) subset(sigma(v),w)* -> equal(u,a) member(ordered_pair(u,f26(u)),w)*. % 299.97/300.36 59590[16:Rew:54986.0,56255.2] || disjoint(universal_set,complement(non_ordered_pair(u,v)))* -> equal(f16(a,non_ordered_pair(u,v)),v) equal(f16(a,non_ordered_pair(u,v)),u). % 299.97/300.36 59591[16:Rew:54986.0,56256.2] || disjoint(complement(non_ordered_pair(u,v)),universal_set)* -> equal(f16(a,non_ordered_pair(u,v)),v) equal(f16(a,non_ordered_pair(u,v)),u). % 299.97/300.36 56571[16:Rew:54986.0,49620.2] || member(u,v) member(first(u),w) equal(second(u),singleton_set(a)) -> member(second(u),image(w,v))*. % 299.97/300.36 56587[16:Rew:54986.0,49582.3] || disjoint(universal_set,complement(second(u)))* member(u,v)* equal(first(u),w)* -> member(singleton_set(a),apply(v,w))*. % 299.97/300.36 56588[16:Rew:54986.0,49581.3] || disjoint(complement(second(u)),universal_set)* member(u,v)* equal(first(u),w)* -> member(singleton_set(a),apply(v,w))*. % 299.97/300.36 56589[16:Rew:54986.0,49580.3] || member(universal_set,powerset(second(u)))* member(u,v)* equal(first(u),w)* -> member(singleton_set(a),apply(v,w))*. % 299.97/300.36 56591[16:Rew:54986.0,49599.3] || disjoint(universal_set,complement(f4(u,v)))* member(u,first(v)) equal(w,v)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56592[16:Rew:54986.0,49598.3] || disjoint(complement(f4(u,v)),universal_set)* member(u,first(v)) equal(w,v)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56593[16:Rew:54986.0,49596.3] || disjoint(universal_set,complement(f6(u,v)))* member(u,second(v)) equal(w,v)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56594[16:Rew:54986.0,49595.3] || disjoint(complement(f6(u,v)),universal_set)* member(u,second(v)) equal(w,v)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56595[16:Rew:54986.0,49593.3] || disjoint(universal_set,complement(f9(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56596[16:Rew:54986.0,49592.3] || disjoint(complement(f9(u,v)),universal_set)* member(u,rotate_right(v)) equal(w,u)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56597[16:Rew:54986.0,49590.3] || disjoint(universal_set,complement(f12(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56598[16:Rew:54986.0,49589.3] || disjoint(complement(f12(u,v)),universal_set)* member(u,flip_range_of(v)) equal(w,u)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56599[16:Rew:54986.0,49588.3] || member(universal_set,powerset(f12(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56600[16:Rew:54986.0,49587.3] || member(universal_set,powerset(f9(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56601[16:Rew:54986.0,49586.3] || member(universal_set,powerset(f6(u,v)))* member(u,second(v)) equal(w,v)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56602[16:Rew:54986.0,49585.3] || member(universal_set,powerset(f4(u,v)))* member(u,first(v)) equal(w,v)* -> member(singleton_set(a),first(w))*. % 299.97/300.36 56615[16:Rew:54986.0,49615.3] || disjoint(universal_set,complement(f5(u,v)))* member(u,first(v)) equal(w,v)* -> member(singleton_set(a),second(w))*. % 299.97/300.36 56616[16:Rew:54986.0,49614.3] || disjoint(complement(f5(u,v)),universal_set)* member(u,first(v)) equal(w,v)* -> member(singleton_set(a),second(w))*. % 299.97/300.36 56617[16:Rew:54986.0,49612.3] || disjoint(universal_set,complement(f7(u,v)))* member(u,second(v)) equal(w,v)* -> member(singleton_set(a),second(w))*. % 299.97/300.36 56618[16:Rew:54986.0,49611.3] || disjoint(complement(f7(u,v)),universal_set)* member(u,second(v)) equal(w,v)* -> member(singleton_set(a),second(w))*. % 299.97/300.36 56619[16:Rew:54986.0,49610.3] || member(universal_set,powerset(f7(u,v)))* member(u,second(v)) equal(w,v)* -> member(singleton_set(a),second(w))*. % 299.97/300.36 56620[16:Rew:54986.0,49609.3] || member(universal_set,powerset(f5(u,v)))* member(u,first(v)) equal(w,v)* -> member(singleton_set(a),second(w))*. % 299.97/300.36 56907[16:Rew:54986.0,50483.2] || member(u,v) member(first(u),w) equal(powerset(a),second(u)) -> member(second(u),image(w,v))*. % 299.97/300.36 56930[16:Rew:54986.0,50449.3] || disjoint(universal_set,complement(second(u)))* member(u,v)* equal(first(u),w)* -> member(powerset(a),apply(v,w))*. % 299.97/300.36 56931[16:Rew:54986.0,50448.3] || disjoint(complement(second(u)),universal_set)* member(u,v)* equal(first(u),w)* -> member(powerset(a),apply(v,w))*. % 299.97/300.36 56932[16:Rew:54986.0,50447.3] || member(universal_set,powerset(second(u)))* member(u,v)* equal(first(u),w)* -> member(powerset(a),apply(v,w))*. % 299.97/300.36 56934[16:Rew:54986.0,50520.3] || disjoint(universal_set,complement(f4(u,v)))* member(u,first(v)) equal(w,v)* -> member(powerset(a),first(w))*. % 299.97/300.36 56935[16:Rew:54986.0,50519.3] || disjoint(complement(f4(u,v)),universal_set)* member(u,first(v)) equal(w,v)* -> member(powerset(a),first(w))*. % 299.97/300.36 56936[16:Rew:54986.0,50518.3] || member(universal_set,powerset(f4(u,v)))* member(u,first(v)) equal(w,v)* -> member(powerset(a),first(w))*. % 299.97/300.36 56937[16:Rew:54986.0,50516.3] || disjoint(universal_set,complement(f6(u,v)))* member(u,second(v)) equal(w,v)* -> member(powerset(a),first(w))*. % 299.97/300.36 56938[16:Rew:54986.0,50515.3] || disjoint(complement(f6(u,v)),universal_set)* member(u,second(v)) equal(w,v)* -> member(powerset(a),first(w))*. % 299.97/300.36 56939[16:Rew:54986.0,50514.3] || member(universal_set,powerset(f6(u,v)))* member(u,second(v)) equal(w,v)* -> member(powerset(a),first(w))*. % 299.97/300.36 56940[16:Rew:54986.0,50512.3] || disjoint(universal_set,complement(f9(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(powerset(a),first(w))*. % 299.97/300.36 56941[16:Rew:54986.0,50511.3] || disjoint(complement(f9(u,v)),universal_set)* member(u,rotate_right(v)) equal(w,u)* -> member(powerset(a),first(w))*. % 299.97/300.36 56942[16:Rew:54986.0,50510.3] || member(universal_set,powerset(f9(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(powerset(a),first(w))*. % 299.97/300.36 56943[16:Rew:54986.0,50508.3] || disjoint(universal_set,complement(f12(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(powerset(a),first(w))*. % 299.97/300.36 56944[16:Rew:54986.0,50507.3] || disjoint(complement(f12(u,v)),universal_set)* member(u,flip_range_of(v)) equal(w,u)* -> member(powerset(a),first(w))*. % 299.97/300.36 56945[16:Rew:54986.0,50506.3] || member(universal_set,powerset(f12(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(powerset(a),first(w))*. % 299.97/300.36 56958[16:Rew:54986.0,50536.3] || disjoint(universal_set,complement(f5(u,v)))* member(u,first(v)) equal(w,v)* -> member(powerset(a),second(w))*. % 299.97/300.36 56959[16:Rew:54986.0,50535.3] || disjoint(complement(f5(u,v)),universal_set)* member(u,first(v)) equal(w,v)* -> member(powerset(a),second(w))*. % 299.97/300.36 56960[16:Rew:54986.0,50534.3] || member(universal_set,powerset(f5(u,v)))* member(u,first(v)) equal(w,v)* -> member(powerset(a),second(w))*. % 299.97/300.36 56961[16:Rew:54986.0,50532.3] || disjoint(universal_set,complement(f7(u,v)))* member(u,second(v)) equal(w,v)* -> member(powerset(a),second(w))*. % 299.97/300.36 56962[16:Rew:54986.0,50531.3] || disjoint(complement(f7(u,v)),universal_set)* member(u,second(v)) equal(w,v)* -> member(powerset(a),second(w))*. % 299.97/300.36 56963[16:Rew:54986.0,50530.3] || member(universal_set,powerset(f7(u,v)))* member(u,second(v)) equal(w,v)* -> member(powerset(a),second(w))*. % 299.97/300.36 57219[16:Rew:54986.0,50664.1] || subset(f25,converse(cross_product(u,v)))* -> member(first(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a)))),u)*. % 299.97/300.36 57220[16:Rew:54986.0,50663.1] || subset(universal_set,converse(cross_product(u,v)))* -> member(first(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a)))),u)*. % 299.97/300.36 57221[16:Rew:54986.0,50666.1] || subset(f25,converse(cross_product(u,v)))* -> member(second(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a)))),v)*. % 299.97/300.36 57222[16:Rew:54986.0,50665.1] || subset(universal_set,converse(cross_product(u,v)))* -> member(second(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a)))),v)*. % 299.97/300.36 59592[16:Rew:54986.0,57255.2] || subset(f25,ordered_pair(u,v))* -> equal(ordered_pair(powerset(a),a),non_ordered_pair(u,v)) equal(ordered_pair(powerset(a),a),singleton_set(u)). % 299.97/300.36 59593[16:Rew:54986.0,57256.2] || subset(universal_set,ordered_pair(u,v))* -> equal(ordered_pair(powerset(a),a),non_ordered_pair(u,v)) equal(ordered_pair(powerset(a),a),singleton_set(u)). % 299.97/300.36 59594[16:Rew:54986.0,57385.2] || subset(u,v) -> equal(converse(u),a) member(ordered_pair(second(f1(a,converse(u))),first(f1(a,converse(u)))),v)*. % 299.97/300.36 59595[16:Rew:54986.0,57386.2] || subset(u,v) -> equal(converse(u),a) member(ordered_pair(second(f1(converse(u),a)),first(f1(converse(u),a))),v)*. % 299.97/300.36 59596[16:Rew:54986.0,57763.1] || member(u,image(union(v,a),w)) member(first(f22(u,union(v,a),w)),intersection(complement(v),universal_set))* -> . % 299.97/300.36 59597[16:Rew:54986.0,57791.1] || member(u,image(union(a,v),w)) member(first(f22(u,union(a,v),w)),intersection(universal_set,complement(v)))* -> . % 299.97/300.36 58143[16:Rew:54986.0,50785.4] little_set(u) little_set(v) || member(f24(w),v) disjoint(first(ordered_pair(v,u)),w)* -> equal(w,a). % 299.97/300.36 58144[16:Rew:54986.0,50782.4] little_set(u) little_set(v) || member(f24(w),u) disjoint(second(ordered_pair(v,u)),w)* -> equal(w,a). % 299.97/300.36 58174[16:Rew:54986.0,51210.4] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* subset(x,a) -> . % 299.97/300.36 58319[16:Rew:54986.0,51567.1] || subset(u,v)* -> member(a,sigma(complement(converse(u))))* member(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),v)*. % 299.97/300.36 58344[16:Rew:54986.0,51043.2] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),a) member(f24(f7(u,v)),second(w))*. % 299.97/300.36 58345[16:Rew:54986.0,51040.2] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),a) member(f26(f7(u,v)),second(w))*. % 299.97/300.36 58351[16:Rew:54986.0,51055.2] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),a) member(f24(f4(u,v)),first(w))*. % 299.97/300.36 58352[16:Rew:54986.0,51052.2] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),a) member(f26(f4(u,v)),first(w))*. % 299.97/300.36 58387[16:Rew:54986.0,51235.3] || member(u,v) member(u,w) member(u,singleton_set(intersection(w,v)))* -> equal(singleton_set(intersection(w,v)),a). % 299.97/300.36 58388[16:Rew:54986.0,51233.2] || member(u,v) member(u,w) -> equal(singleton_set(intersection(w,v)),a) member(u,sigma(singleton_set(intersection(w,v))))*. % 299.97/300.36 59598[16:Rew:54986.0,58422.2] || equal(u,universal_set) member(u,v)* equal(a,w) member(a,x) -> member(w,image(x,v))*. % 299.97/300.36 58446[16:Rew:54986.0,50925.0] || -> equal(converse(intersection(u,v)),a) member(ordered_pair(second(f24(converse(intersection(u,v)))),first(f24(converse(intersection(u,v))))),u)*. % 299.97/300.36 58447[16:Rew:54986.0,50921.0] || -> equal(converse(intersection(u,v)),a) member(ordered_pair(second(f24(converse(intersection(u,v)))),first(f24(converse(intersection(u,v))))),v)*. % 299.97/300.36 58448[16:Rew:54986.0,51135.2] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,f2(u)),a) member(f24(intersection(w,f2(u))),first(v))*. % 299.97/300.36 58449[16:Rew:54986.0,51136.2] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(f2(u),w),a) member(f24(intersection(f2(u),w)),first(v))*. % 299.97/300.36 58450[16:Rew:54986.0,51149.2] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,f3(u)),a) member(f24(intersection(w,f3(u))),second(v))*. % 299.97/300.36 58451[16:Rew:54986.0,51150.2] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(f3(u),w),a) member(f24(intersection(f3(u),w)),second(v))*. % 299.97/300.36 58454[16:Rew:54986.0,51156.2] little_set(u) || equal(u,cross_product(v,w))* -> equal(cross_product(v,w),a) member(second(f26(cross_product(v,w))),w)*. % 299.97/300.36 58455[16:Rew:54986.0,51155.2] little_set(u) || equal(u,cross_product(v,w))* -> equal(cross_product(v,w),a) member(first(f26(cross_product(v,w))),v)*. % 299.97/300.36 58456[16:Rew:54986.0,51161.3] || member(u,v) disjoint(v,non_ordered_pair(u,w))* -> equal(f24(non_ordered_pair(u,w)),w) equal(non_ordered_pair(u,w),a). % 299.97/300.36 58457[16:Rew:54986.0,51160.3] || member(u,v) disjoint(v,non_ordered_pair(u,w))* -> equal(f26(non_ordered_pair(u,w)),w) equal(non_ordered_pair(u,w),a). % 299.97/300.36 58458[16:Rew:54986.0,51163.3] || member(u,v) disjoint(v,non_ordered_pair(w,u))* -> equal(f24(non_ordered_pair(w,u)),w) equal(non_ordered_pair(w,u),a). % 299.97/300.36 58459[16:Rew:54986.0,51162.3] || member(u,v) disjoint(v,non_ordered_pair(w,u))* -> equal(f26(non_ordered_pair(w,u)),w) equal(non_ordered_pair(w,u),a). % 299.97/300.36 58461[16:Rew:54986.0,51206.2] || member(u,apply(v,w)) disjoint(singleton_set(f28(u,v,w)),v)* -> equal(singleton_set(f28(u,v,w)),a). % 299.97/300.36 58462[16:Rew:54986.0,51209.2] || member(u,image(v,w)) disjoint(singleton_set(f22(u,v,w)),w)* -> equal(singleton_set(f22(u,v,w)),a). % 299.97/300.36 58463[16:Rew:54986.0,51240.1] || disjoint(singleton_set(f1(u,v)),v)* -> equal(singleton_set(f1(u,v)),a) equal(u,v) member(f1(u,v),u)*. % 299.97/300.36 58464[16:Rew:54986.0,51239.1] || disjoint(singleton_set(f1(u,v)),u)* -> equal(singleton_set(f1(u,v)),a) equal(u,v) member(f1(u,v),v)*. % 299.97/300.36 58468[16:Rew:54986.0,51244.2] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),a) member(f24(f6(u,v)),first(w))*. % 299.97/300.36 58469[16:Rew:54986.0,51241.2] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),a) member(f26(f6(u,v)),first(w))*. % 299.97/300.36 58473[16:Rew:54986.0,51259.2] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),a) member(f24(f9(u,v)),first(w))*. % 299.97/300.36 58474[16:Rew:54986.0,51256.2] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),a) member(f26(f9(u,v)),first(w))*. % 299.97/300.36 58479[16:Rew:54986.0,51265.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),a) member(f24(f12(u,v)),first(w))*. % 299.97/300.36 58480[16:Rew:54986.0,51262.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),a) member(f26(f12(u,v)),first(w))*. % 299.97/300.36 58483[16:Rew:54986.0,51289.2] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),a) member(f24(f5(u,v)),second(w))*. % 299.97/300.36 58484[16:Rew:54986.0,51286.2] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),a) member(f26(f5(u,v)),second(w))*. % 299.97/300.36 58485[16:Rew:54986.0,51498.2] || member(u,apply(powerset(f25),v)) -> single_valued_set(f28(u,powerset(f25),v)) equal(f19(f28(u,powerset(f25),v)),a)**. % 299.97/300.36 58486[16:Rew:54986.0,51499.2] || member(u,image(v,powerset(f25))) -> single_valued_set(f22(u,v,powerset(f25))) equal(f19(f22(u,v,powerset(f25))),a)**. % 299.97/300.36 58487[16:Rew:54986.0,51500.2] || -> single_valued_set(powerset(f25)) single_valued_set(ordered_pair(f19(powerset(f25)),f20(powerset(f25)))) equal(f19(ordered_pair(f19(powerset(f25)),f20(powerset(f25)))),a)**. % 299.97/300.36 58488[16:Rew:54986.0,51501.2] || -> single_valued_set(powerset(f25)) single_valued_set(ordered_pair(f19(powerset(f25)),f21(powerset(f25)))) equal(f19(ordered_pair(f19(powerset(f25)),f21(powerset(f25)))),a)**. % 299.97/300.36 58489[16:Rew:54986.0,51638.1] || -> disjoint(u,cross_product(v,w)) equal(first(f23(u,cross_product(v,w))),a) ordered_pair_predicate(f26(first(f23(u,cross_product(v,w)))))*. % 299.97/300.36 58490[16:Rew:54986.0,51639.1] || -> subset(cross_product(u,v),w) equal(first(f17(cross_product(u,v),w)),a) ordered_pair_predicate(f26(first(f17(cross_product(u,v),w))))*. % 299.97/300.36 58491[16:Rew:54986.0,51640.1] || -> disjoint(cross_product(u,v),w) equal(first(f23(cross_product(u,v),w)),a) ordered_pair_predicate(f26(first(f23(cross_product(u,v),w))))*. % 299.97/300.36 58492[16:Rew:54986.0,51641.1] || -> disjoint(u,cross_product(v,w)) equal(second(f23(u,cross_product(v,w))),a) ordered_pair_predicate(f26(second(f23(u,cross_product(v,w)))))*. % 299.97/300.36 58493[16:Rew:54986.0,51642.1] || -> subset(cross_product(u,v),w) equal(second(f17(cross_product(u,v),w)),a) ordered_pair_predicate(f26(second(f17(cross_product(u,v),w))))*. % 299.97/300.36 58494[16:Rew:54986.0,51643.1] || -> disjoint(cross_product(u,v),w) equal(second(f23(cross_product(u,v),w)),a) ordered_pair_predicate(f26(second(f23(cross_product(u,v),w))))*. % 299.97/300.36 67010[2:Obv:67009.2] || member(f1(u,intersection(v,universal_set)),v)* member(f1(u,intersection(v,universal_set)),u)* -> equal(u,intersection(v,universal_set)). % 299.97/300.36 67216[0:Obv:67210.1] little_set(u) || member(v,w)* member(x,rotate_right(v))* equal(u,x)* -> member(u,rotate_right(sigma(w)))*. % 299.97/300.36 67366[0:MRR:67365.0,67365.1,67365.2,49.1,50.1,48.1] little_set(u) || member(v,w)* member(v,rotate_right(x))* equal(u,v)* -> member(u,flip_range_of(flip_range_of(w)))*. % 299.97/300.36 67428[0:Obv:67422.1] little_set(u) || member(v,w)* member(x,flip_range_of(v))* equal(u,x)* -> member(u,flip_range_of(sigma(w)))*. % 299.97/300.36 67436[0:MRR:67435.0,67435.1,67435.2,55.1,56.1,54.1] little_set(u) || member(v,w)* member(v,flip_range_of(x))* equal(u,v)* -> member(u,flip_range_of(flip_range_of(w)))*. % 299.97/300.36 70188[0:SSi:70165.0,371.0,371.0] little_set(u) little_set(v) || member(w,first(x))* equal(v,ordered_pair(u,x))* -> member(v,rotate_right(universal_set))*. % 299.97/300.36 70266[0:SSi:70243.0,371.0,371.0] little_set(u) little_set(v) || member(w,second(x))* equal(v,ordered_pair(u,x))* -> member(v,rotate_right(universal_set))*. % 299.97/300.36 70342[0:SSi:70315.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,first(x))* equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(universal_set))*. % 299.97/300.36 70413[0:SSi:70386.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,second(x))* equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(universal_set))*. % 299.97/300.36 72580[0:SSi:72556.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || member(w,rotate_right(x))* equal(v,ordered_pair(u,w))* -> member(v,rotate_right(universal_set))*. % 299.97/300.36 72995[0:SSi:72971.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || member(w,flip_range_of(x))* equal(v,ordered_pair(u,w))* -> member(v,rotate_right(universal_set))*. % 299.97/300.36 73227[0:SSi:73199.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x))* equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(universal_set))*. % 299.97/300.36 73332[17:Rew:73253.0,57088.3] || subset(universal_set,f29(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(a,first(x))*. % 299.97/300.36 73333[17:Rew:73253.0,57089.3] || subset(universal_set,f30(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(a,second(x))*. % 299.97/300.36 73362[17:Rew:73253.0,73336.2] || subset(universal_set,range_of(non_ordered_pair(u,v)))* -> equal(f27(a,non_ordered_pair(u,v)),v) equal(f27(a,non_ordered_pair(u,v)),u). % 299.97/300.36 73363[17:Rew:73253.0,73337.2] || subset(universal_set,sigma(non_ordered_pair(u,v)))* -> equal(f16(a,non_ordered_pair(u,v)),v) equal(f16(a,non_ordered_pair(u,v)),u). % 299.97/300.36 73364[17:Rew:73253.0,73338.2] || subset(universal_set,domain_of(non_ordered_pair(u,v)))* -> equal(f8(a,non_ordered_pair(u,v)),v) equal(f8(a,non_ordered_pair(u,v)),u). % 299.97/300.36 73365[17:Rew:73253.0,73297.2] || subset(universal_set,converse(non_ordered_pair(u,v)))* -> equal(ordered_pair(second(a),first(a)),v) equal(ordered_pair(second(a),first(a)),u). % 299.97/300.36 73420[0:SSi:73392.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x))* equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(universal_set))*. % 299.97/300.36 78729[16:Res:556.1,56189.0] || -> disjoint(u,cross_product(v,w)) equal(first(f23(u,cross_product(v,w))),a) little_set(f26(first(f23(u,cross_product(v,w)))))*. % 299.97/300.36 78724[16:Res:552.1,56189.0] || -> subset(cross_product(u,v),w) equal(first(f17(cross_product(u,v),w)),a) little_set(f26(first(f17(cross_product(u,v),w))))*. % 299.97/300.36 78723[16:Res:551.1,56189.0] || -> disjoint(cross_product(u,v),w) equal(first(f23(cross_product(u,v),w)),a) little_set(f26(first(f23(cross_product(u,v),w))))*. % 299.97/300.36 78664[16:Res:543.1,56189.0] || -> disjoint(u,cross_product(v,w)) equal(second(f23(u,cross_product(v,w))),a) little_set(f26(second(f23(u,cross_product(v,w)))))*. % 299.97/300.36 78655[16:Res:539.1,56189.0] || -> subset(cross_product(u,v),w) equal(second(f17(cross_product(u,v),w)),a) little_set(f26(second(f17(cross_product(u,v),w))))*. % 299.97/300.36 78654[16:Res:538.1,56189.0] || -> disjoint(cross_product(u,v),w) equal(second(f23(cross_product(u,v),w)),a) little_set(f26(second(f23(cross_product(u,v),w))))*. % 299.97/300.36 80751[16:SSi:80746.1,80746.0,159.0,991.0,55026.0,55048.1,78.0,159.0,991.0,55026.0] little_set(u) || subset(f25,v) member(ordered_pair(u,powerset(a)),w) -> member(ordered_pair(u,a),compose(w,v))*. % 299.97/300.36 81285[16:SSi:81280.1,81280.0,159.0,991.0,55026.0,55048.1,78.0,159.0,991.0,55026.0] little_set(u) || subset(universal_set,v) member(ordered_pair(u,powerset(a)),w) -> member(ordered_pair(u,a),compose(w,v))*. % 299.97/300.36 82796[16:Res:82637.1,4284.1] || equal(ordered_pair(f31(u,v,complement(set_b)),f30(u,v,complement(set_b))),a)** member(u,compose(v,complement(set_b))) -> . % 299.97/300.36 82786[16:Res:82637.1,6224.3] little_set(u) single_valued_set(set_b) || equal(ordered_pair(f2(v),u),a)** member(v,set_b) -> equal(u,f3(v)). % 299.97/300.36 82781[16:Res:82637.1,4359.1] || equal(ordered_pair(f29(u,complement(set_b),v),f31(u,complement(set_b),v)),a)** member(u,compose(complement(set_b),v)) -> . % 299.97/300.36 82949[3:Res:82638.1,4284.1] || equal(ordered_pair(f31(u,v,complement(set_a)),f30(u,v,complement(set_a))),a)** member(u,compose(v,complement(set_a))) -> . % 299.97/300.36 82939[3:Res:82638.1,6224.3] little_set(u) single_valued_set(set_a) || equal(ordered_pair(f2(v),u),a)** member(v,set_a) -> equal(u,f3(v)). % 299.97/300.36 82934[3:Res:82638.1,4359.1] || equal(ordered_pair(f29(u,complement(set_a),v),f31(u,complement(set_a),v)),a)** member(u,compose(complement(set_a),v)) -> . % 299.97/300.36 83103[16:Res:82641.1,4284.1] || equal(ordered_pair(f31(u,v,complement(infinity)),f30(u,v,complement(infinity))),a)** member(u,compose(v,complement(infinity))) -> . % 299.97/300.36 83093[16:Res:82641.1,6224.3] little_set(u) single_valued_set(infinity) || equal(ordered_pair(f2(v),u),a)** member(v,infinity) -> equal(u,f3(v)). % 299.97/300.36 83088[16:Res:82641.1,4359.1] || equal(ordered_pair(f29(u,complement(infinity),v),f31(u,complement(infinity),v)),a)** member(u,compose(complement(infinity),v)) -> . % 299.97/300.36 84022[16:Res:1351.1,83606.1] || member(u,image(v,intersection(w,f24(powerset(x))))) subset(f22(u,v,intersection(w,f24(powerset(x)))),x)* -> . % 299.97/300.36 83967[16:Res:1286.1,83606.1] || member(u,apply(intersection(v,f24(powerset(w))),x)) subset(f28(u,intersection(v,f24(powerset(w))),x),w)* -> . % 299.97/300.36 83955[16:Res:1350.1,83606.1] || member(u,image(v,intersection(f24(powerset(w)),x))) subset(f22(u,v,intersection(f24(powerset(w)),x)),w)* -> . % 299.97/300.36 83930[16:Res:1285.1,83606.1] || member(u,apply(intersection(f24(powerset(v)),w),x)) subset(f28(u,intersection(f24(powerset(v)),w),x),v)* -> . % 299.97/300.36 84212[2:Res:1351.1,25433.0] || member(u,image(v,intersection(w,image(x,y)))) subset(x,f22(u,v,intersection(w,image(x,y))))* -> . % 299.97/300.36 84157[2:Res:1286.1,25433.0] || member(u,apply(intersection(v,image(w,x)),y)) subset(w,f28(u,intersection(v,image(w,x)),y))* -> . % 299.97/300.36 84145[2:Res:1350.1,25433.0] || member(u,image(v,intersection(image(w,x),y))) subset(w,f22(u,v,intersection(image(w,x),y)))* -> . % 299.97/300.36 84120[2:Res:1285.1,25433.0] || member(u,apply(intersection(image(v,w),x),y)) subset(v,f28(u,intersection(image(v,w),x),y))* -> . % 299.97/300.36 87675[16:Res:82665.1,4120.1] || equal(ordered_pair(second(f8(u,v)),u),a)** member(u,domain_of(v)) -> member(f8(u,v),converse(sigma(infinity)))*. % 299.97/300.36 87674[16:Res:82665.1,4119.1] || equal(ordered_pair(u,first(f27(u,v))),a)** member(u,range_of(v)) -> member(f27(u,v),converse(sigma(infinity)))*. % 299.97/300.36 87829[16:Res:82681.1,4120.1] || equal(ordered_pair(second(f8(u,v)),u),a)** member(u,domain_of(v)) -> member(f8(u,v),converse(successor(a)))*. % 299.97/300.36 87828[16:Res:82681.1,4119.1] || equal(ordered_pair(u,first(f27(u,v))),a)** member(u,range_of(v)) -> member(f27(u,v),converse(successor(a)))*. % 299.97/300.36 87937[16:Rew:87905.1,58647.1] || equal(f1(ordered_pair(universal_set,u),non_ordered_pair(v,w)),a)** equal(a,w) -> equal(ordered_pair(universal_set,u),non_ordered_pair(v,w)). % 299.97/300.36 87938[16:Rew:87905.1,58648.1] || equal(f1(ordered_pair(universal_set,u),non_ordered_pair(v,w)),a)** equal(a,v) -> equal(ordered_pair(universal_set,u),non_ordered_pair(v,w)). % 299.97/300.36 87994[16:Rew:87905.1,58646.1] || equal(f17(u,intersection(v,ordered_pair(universal_set,w))),a)** member(a,v) -> subset(u,intersection(v,ordered_pair(universal_set,w))). % 299.97/300.36 88013[16:Rew:87905.1,83085.2] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** member(a,v) -> member(u,converse(intersection(v,infinity)))*. % 299.97/300.36 88014[16:Rew:87905.1,82931.2] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** member(a,v) -> member(u,converse(intersection(v,set_a)))*. % 299.97/300.36 88015[16:Rew:87905.1,82778.2] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** member(a,v) -> member(u,converse(intersection(v,set_b)))*. % 299.97/300.36 88150[3:Res:82671.1,3653.2] || equal(intersection(u,v),infinity) member(w,v) member(w,u) -> member(w,sigma(singleton_set(intersection(u,v))))*. % 299.97/300.36 88145[3:Res:82671.1,1272.1] || equal(f28(u,v,w),infinity) member(u,apply(v,w)) disjoint(singleton_set(f28(u,v,w)),v)* -> . % 299.97/300.36 88143[3:Res:82671.1,1337.1] || equal(f22(u,v,w),infinity) member(u,image(v,w)) disjoint(singleton_set(f22(u,v,w)),w)* -> . % 299.97/300.36 88141[16:Res:82671.1,56081.1] little_set(u) || equal(ordered_pair(u,f26(u)),infinity) disjoint(singleton_set(ordered_pair(u,f26(u))),f25)* -> equal(u,a). % 299.97/300.36 88123[3:Res:82671.1,3810.0] || equal(f1(u,v),infinity) disjoint(singleton_set(f1(u,v)),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.36 88122[3:Res:82671.1,3828.0] || equal(f1(u,v),infinity) disjoint(singleton_set(f1(u,v)),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.36 88450[16:Res:57853.0,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(complement(complement(f3(u))),a) member(f24(complement(complement(f3(u)))),second(v))*. % 299.97/300.36 88449[16:Res:57853.0,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(complement(complement(f2(u))),a) member(f24(complement(complement(f2(u)))),first(v))*. % 299.97/300.36 89296[0:Res:1544.2,14370.1] || member(u,image(v,w)) subset(v,converse(complement(x))) member(first(f22(u,v,w)),converse(x))* -> . % 299.97/300.36 89284[0:Res:557.1,14370.1] || member(u,range_of(cross_product(converse(complement(v)),w))) member(first(f27(u,cross_product(converse(complement(v)),w))),converse(v))* -> . % 299.97/300.37 89283[0:Res:558.1,14370.1] || member(u,sigma(cross_product(converse(complement(v)),w))) member(first(f16(u,cross_product(converse(complement(v)),w))),converse(v))* -> . % 299.97/300.37 89222[0:Res:545.1,14370.1] || member(u,sigma(cross_product(v,converse(complement(w))))) member(second(f16(u,cross_product(v,converse(complement(w))))),converse(w))* -> . % 299.97/300.37 89221[0:Res:546.1,14370.1] || member(u,domain_of(cross_product(v,converse(complement(w))))) member(second(f8(u,cross_product(v,converse(complement(w))))),converse(w))* -> . % 299.97/300.37 89203[0:Res:6.1,14370.1] || member(f1(u,converse(complement(v))),converse(v))* -> equal(u,converse(complement(v))) member(f1(u,converse(complement(v))),u)*. % 299.97/300.37 89158[0:Res:6.2,14370.1] || member(f1(converse(complement(u)),v),converse(u))* -> equal(converse(complement(u)),v) member(f1(converse(complement(u)),v),v)*. % 299.97/300.37 89531[0:Res:1544.2,43745.1] || member(u,image(v,w)) subset(v,flip_range_of(complement(flip_range_of(x)))) member(first(f22(u,v,w)),x)* -> . % 299.97/300.37 89472[0:Res:427.1,43745.1] || member(u,range_of(intersection(v,flip_range_of(complement(flip_range_of(w)))))) member(f27(u,intersection(v,flip_range_of(complement(flip_range_of(w))))),w)* -> . % 299.97/300.37 89470[0:Res:456.1,43745.1] || member(u,sigma(intersection(v,flip_range_of(complement(flip_range_of(w)))))) member(f16(u,intersection(v,flip_range_of(complement(flip_range_of(w))))),w)* -> . % 299.97/300.37 89468[0:Res:494.1,43745.1] || member(u,domain_of(intersection(v,flip_range_of(complement(flip_range_of(w)))))) member(f8(u,intersection(v,flip_range_of(complement(flip_range_of(w))))),w)* -> . % 299.97/300.37 89434[0:Res:426.1,43745.1] || member(u,range_of(intersection(flip_range_of(complement(flip_range_of(v))),w))) member(f27(u,intersection(flip_range_of(complement(flip_range_of(v))),w)),v)* -> . % 299.97/300.37 89432[0:Res:455.1,43745.1] || member(u,sigma(intersection(flip_range_of(complement(flip_range_of(v))),w))) member(f16(u,intersection(flip_range_of(complement(flip_range_of(v))),w)),v)* -> . % 299.97/300.37 89430[0:Res:493.1,43745.1] || member(u,domain_of(intersection(flip_range_of(complement(flip_range_of(v))),w))) member(f8(u,intersection(flip_range_of(complement(flip_range_of(v))),w)),v)* -> . % 299.97/300.37 91110[16:Rew:90184.0,88012.3] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** member(a,v) -> member(u,converse(intersection(v,universal_set)))*. % 299.97/300.37 91495[3:SSi:91494.0,371.0] little_set(u) single_valued_set(sigma(universal_set)) || member(v,second(w))* member(w,universal_set) -> equal(u,f7(v,w))*. % 299.97/300.37 91497[3:SSi:91496.0,371.0] little_set(u) single_valued_set(sigma(universal_set)) || member(v,first(w))* member(w,universal_set) -> equal(u,f5(v,w))*. % 299.97/300.37 91514[3:SSi:91513.0,371.0] little_set(u) single_valued_set(sigma(universal_set)) || member(v,flip_range_of(universal_set)) -> equal(u,ordered_pair(f14(v,universal_set),f13(v,universal_set)))*. % 299.97/300.37 91516[3:SSi:91515.0,371.0] little_set(u) single_valued_set(sigma(universal_set)) || member(v,rotate_right(universal_set)) -> equal(u,ordered_pair(f11(v,universal_set),f9(v,universal_set)))*. % 299.97/300.37 91530[3:MRR:91529.3,10966.1] little_set(u) single_valued_set(sigma(universal_set)) || member(v,rotate_right(w)) -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 299.97/300.37 91533[3:MRR:91532.3,10966.1] little_set(u) single_valued_set(sigma(universal_set)) || member(v,flip_range_of(w)) -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 299.97/300.37 92727[0:Res:1544.2,19261.0] || member(u,image(v,w)) subset(v,sigma(intersection(x,y)))* -> member(first(f22(u,v,w)),sigma(x))*. % 299.97/300.37 92648[0:Res:427.1,19261.0] || member(u,range_of(intersection(v,sigma(intersection(w,x))))) -> member(f27(u,intersection(v,sigma(intersection(w,x)))),sigma(w))*. % 299.97/300.37 92646[0:Res:456.1,19261.0] || member(u,sigma(intersection(v,sigma(intersection(w,x))))) -> member(f16(u,intersection(v,sigma(intersection(w,x)))),sigma(w))*. % 299.97/300.37 92644[0:Res:494.1,19261.0] || member(u,domain_of(intersection(v,sigma(intersection(w,x))))) -> member(f8(u,intersection(v,sigma(intersection(w,x)))),sigma(w))*. % 299.97/300.37 92610[0:Res:426.1,19261.0] || member(u,range_of(intersection(sigma(intersection(v,w)),x))) -> member(f27(u,intersection(sigma(intersection(v,w)),x)),sigma(v))*. % 299.97/300.37 92608[0:Res:455.1,19261.0] || member(u,sigma(intersection(sigma(intersection(v,w)),x))) -> member(f16(u,intersection(sigma(intersection(v,w)),x)),sigma(v))*. % 299.97/300.37 92606[0:Res:493.1,19261.0] || member(u,domain_of(intersection(sigma(intersection(v,w)),x))) -> member(f8(u,intersection(sigma(intersection(v,w)),x)),sigma(v))*. % 299.97/300.37 92929[0:Res:1544.2,19263.0] || member(u,image(v,w)) subset(v,sigma(intersection(x,y)))* -> member(first(f22(u,v,w)),sigma(y))*. % 299.97/300.37 92850[0:Res:427.1,19263.0] || member(u,range_of(intersection(v,sigma(intersection(w,x))))) -> member(f27(u,intersection(v,sigma(intersection(w,x)))),sigma(x))*. % 299.97/300.37 92848[0:Res:456.1,19263.0] || member(u,sigma(intersection(v,sigma(intersection(w,x))))) -> member(f16(u,intersection(v,sigma(intersection(w,x)))),sigma(x))*. % 299.97/300.37 92846[0:Res:494.1,19263.0] || member(u,domain_of(intersection(v,sigma(intersection(w,x))))) -> member(f8(u,intersection(v,sigma(intersection(w,x)))),sigma(x))*. % 299.97/300.37 92812[0:Res:426.1,19263.0] || member(u,range_of(intersection(sigma(intersection(v,w)),x))) -> member(f27(u,intersection(sigma(intersection(v,w)),x)),sigma(w))*. % 299.97/300.37 92810[0:Res:455.1,19263.0] || member(u,sigma(intersection(sigma(intersection(v,w)),x))) -> member(f16(u,intersection(sigma(intersection(v,w)),x)),sigma(w))*. % 299.97/300.37 92808[0:Res:493.1,19263.0] || member(u,domain_of(intersection(sigma(intersection(v,w)),x))) -> member(f8(u,intersection(sigma(intersection(v,w)),x)),sigma(w))*. % 299.97/300.37 93027[16:Res:1013.1,56181.0] || member(u,converse(powerset(v))) disjoint(v,ordered_pair(second(u),first(u)))* -> equal(ordered_pair(second(u),first(u)),a). % 299.97/300.37 94246[16:Res:57719.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(restrict(f3(u),w),a) member(f24(restrict(f3(u),w)),second(v))*. % 299.97/300.37 94245[16:Res:57719.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(restrict(f2(u),w),a) member(f24(restrict(f2(u),w)),first(v))*. % 299.97/300.37 97085[3:SSi:97021.0,5742.0,11.1] little_set(u) || equal(u,v) -> member(u,sigma(converse(powerset(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w)))))))*. % 299.97/300.37 97086[3:SSi:97020.0,5742.0,11.1] little_set(u) || equal(u,v) -> member(u,sigma(converse(powerset(ordered_pair(second(non_ordered_pair(w,v)),first(non_ordered_pair(w,v)))))))*. % 299.97/300.37 97099[3:SSi:96999.0,18197.0,371.1] ordered_pair_predicate(u) || -> member(u,converse(converse(powerset(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u))))))))*. % 299.97/300.37 97757[0:Res:1274.2,2899.0] || member(u,apply(v,w)) subset(v,domain_of(singleton_set(x))) -> equal(f8(f28(u,v,w),singleton_set(x)),x)**. % 299.97/300.37 97755[0:Res:1339.2,2899.0] || member(u,image(v,w)) subset(w,domain_of(singleton_set(x))) -> equal(f8(f22(u,v,w),singleton_set(x)),x)**. % 299.97/300.37 97734[16:Res:56107.3,2899.0] little_set(u) || subset(f25,domain_of(singleton_set(v))) -> equal(u,a) equal(f8(ordered_pair(u,f26(u)),singleton_set(v)),v)**. % 299.97/300.37 97700[0:Res:427.1,2899.0] || member(u,range_of(intersection(v,domain_of(singleton_set(w))))) -> equal(f8(f27(u,intersection(v,domain_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.37 97698[0:Res:456.1,2899.0] || member(u,sigma(intersection(v,domain_of(singleton_set(w))))) -> equal(f8(f16(u,intersection(v,domain_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.37 97696[0:Res:494.1,2899.0] || member(u,domain_of(intersection(v,domain_of(singleton_set(w))))) -> equal(f8(f8(u,intersection(v,domain_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.37 97662[0:Res:426.1,2899.0] || member(u,range_of(intersection(domain_of(singleton_set(v)),w))) -> equal(f8(f27(u,intersection(domain_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.37 97660[0:Res:455.1,2899.0] || member(u,sigma(intersection(domain_of(singleton_set(v)),w))) -> equal(f8(f16(u,intersection(domain_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.37 97658[0:Res:493.1,2899.0] || member(u,domain_of(intersection(domain_of(singleton_set(v)),w))) -> equal(f8(f8(u,intersection(domain_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.37 97994[0:Res:1274.2,2938.0] || member(u,apply(v,w)) subset(v,sigma(singleton_set(x))) -> equal(f16(f28(u,v,w),singleton_set(x)),x)**. % 299.97/300.37 97992[0:Res:1339.2,2938.0] || member(u,image(v,w)) subset(w,sigma(singleton_set(x))) -> equal(f16(f22(u,v,w),singleton_set(x)),x)**. % 299.97/300.37 97984[0:Res:1543.2,2938.0] || member(u,image(v,w)) member(v,singleton_set(x)) -> equal(f16(first(f22(u,v,w)),singleton_set(x)),x)**. % 299.97/300.37 97947[16:Res:56107.3,2938.0] little_set(u) || subset(f25,sigma(singleton_set(v))) -> equal(u,a) equal(f16(ordered_pair(u,f26(u)),singleton_set(v)),v)**. % 299.97/300.37 97913[0:Res:427.1,2938.0] || member(u,range_of(intersection(v,sigma(singleton_set(w))))) -> equal(f16(f27(u,intersection(v,sigma(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.37 97911[0:Res:456.1,2938.0] || member(u,sigma(intersection(v,sigma(singleton_set(w))))) -> equal(f16(f16(u,intersection(v,sigma(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.37 97909[0:Res:494.1,2938.0] || member(u,domain_of(intersection(v,sigma(singleton_set(w))))) -> equal(f16(f8(u,intersection(v,sigma(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.37 97875[0:Res:426.1,2938.0] || member(u,range_of(intersection(sigma(singleton_set(v)),w))) -> equal(f16(f27(u,intersection(sigma(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.37 97873[0:Res:455.1,2938.0] || member(u,sigma(intersection(sigma(singleton_set(v)),w))) -> equal(f16(f16(u,intersection(sigma(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.37 97871[0:Res:493.1,2938.0] || member(u,domain_of(intersection(sigma(singleton_set(v)),w))) -> equal(f16(f8(u,intersection(sigma(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.37 98213[0:Res:1274.2,2959.0] || member(u,apply(v,w)) subset(v,range_of(singleton_set(x))) -> equal(f27(f28(u,v,w),singleton_set(x)),x)**. % 299.97/300.37 98211[0:Res:1339.2,2959.0] || member(u,image(v,w)) subset(w,range_of(singleton_set(x))) -> equal(f27(f22(u,v,w),singleton_set(x)),x)**. % 299.97/300.37 98190[16:Res:56107.3,2959.0] little_set(u) || subset(f25,range_of(singleton_set(v))) -> equal(u,a) equal(f27(ordered_pair(u,f26(u)),singleton_set(v)),v)**. % 299.97/300.37 98156[0:Res:427.1,2959.0] || member(u,range_of(intersection(v,range_of(singleton_set(w))))) -> equal(f27(f27(u,intersection(v,range_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.37 98154[0:Res:456.1,2959.0] || member(u,sigma(intersection(v,range_of(singleton_set(w))))) -> equal(f27(f16(u,intersection(v,range_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.37 98152[0:Res:494.1,2959.0] || member(u,domain_of(intersection(v,range_of(singleton_set(w))))) -> equal(f27(f8(u,intersection(v,range_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.37 98118[0:Res:426.1,2959.0] || member(u,range_of(intersection(range_of(singleton_set(v)),w))) -> equal(f27(f27(u,intersection(range_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.37 98116[0:Res:455.1,2959.0] || member(u,sigma(intersection(range_of(singleton_set(v)),w))) -> equal(f27(f16(u,intersection(range_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.37 98114[0:Res:493.1,2959.0] || member(u,domain_of(intersection(range_of(singleton_set(v)),w))) -> equal(f27(f8(u,intersection(range_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.37 98873[16:Res:98045.1,6198.3] || disjoint(set_b,cross_product(u,v))* member(second(w),v)* member(first(w),u)* member(w,powerset(a)) -> . % 299.97/300.37 99342[0:Res:18201.1,1137.1] ordered_pair_predicate(complement(u)) little_set(v) || -> member(complement(u),converse(w))* member(v,u)* member(v,sigma(converse(complement(w))))*. % 299.97/300.37 99312[3:Res:18201.1,20705.0] ordered_pair_predicate(complement(sigma(converse(complement(u))))) || -> member(complement(sigma(converse(complement(u)))),converse(u))* member(infinity,sigma(converse(complement(u)))). % 299.97/300.37 99477[3:MRR:99322.0,6237.1] || member(f1(u,converse(complement(v))),u)* -> member(f1(u,converse(complement(v))),converse(v))* equal(u,converse(complement(v))). % 299.97/300.37 99657[0:Res:22366.2,1136.2] ordered_pair_predicate(u) little_set(v) || member(powerset(w),f2(u))* subset(v,w)* -> member(v,sigma(first(u)))*. % 299.97/300.37 99643[0:Res:22366.2,1349.1] ordered_pair_predicate(u) || member(f22(v,w,complement(first(u))),f2(u))* member(v,image(w,complement(first(u)))) -> . % 299.97/300.37 99633[0:Res:22366.2,1284.1] ordered_pair_predicate(u) || member(f28(v,complement(first(u)),w),f2(u))* member(v,apply(complement(first(u)),w)) -> . % 299.97/300.37 99851[0:Res:22612.2,1136.2] ordered_pair_predicate(u) little_set(v) || member(powerset(w),f3(u))* subset(v,w)* -> member(v,sigma(second(u)))*. % 299.97/300.37 99837[0:Res:22612.2,1349.1] ordered_pair_predicate(u) || member(f22(v,w,complement(second(u))),f3(u))* member(v,image(w,complement(second(u)))) -> . % 299.97/300.37 99827[0:Res:22612.2,1284.1] ordered_pair_predicate(u) || member(f28(v,complement(second(u)),w),f3(u))* member(v,apply(complement(second(u)),w)) -> . % 299.97/300.37 100060[16:Res:59019.2,5063.1] ordered_pair_predicate(u) || subset(v,f3(u))* equal(w,u)* -> equal(v,a) member(f1(v,a),second(w))*. % 299.97/300.37 100059[16:Res:59019.2,5018.1] ordered_pair_predicate(u) || subset(v,f2(u))* equal(w,u)* -> equal(v,a) member(f1(v,a),first(w))*. % 299.97/300.37 100046[16:Res:59019.2,1467.1] || subset(u,second(f28(v,w,f1(u,a))))* member(v,apply(w,f1(u,a))) -> equal(u,a). % 299.97/300.37 100002[16:Res:59019.2,1020.0] || subset(u,converse(intersection(v,w)))* -> equal(u,a) member(ordered_pair(second(f1(u,a)),first(f1(u,a))),v)*. % 299.97/300.37 100001[16:Res:59019.2,1021.0] || subset(u,converse(intersection(v,w)))* -> equal(u,a) member(ordered_pair(second(f1(u,a)),first(f1(u,a))),w)*. % 299.97/300.37 100309[16:Obv:100254.1] || subset(non_ordered_pair(u,v),powerset(w))* -> equal(f24(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a) subset(v,w). % 299.97/300.37 100310[16:Obv:100253.1] || subset(non_ordered_pair(u,v),powerset(w))* -> equal(f24(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a) subset(u,w). % 299.97/300.37 100678[16:Res:59021.2,5063.1] ordered_pair_predicate(u) || subset(v,f3(u))* equal(w,u)* -> equal(a,v) member(f1(a,v),second(w))*. % 299.97/300.37 100677[16:Res:59021.2,5018.1] ordered_pair_predicate(u) || subset(v,f2(u))* equal(w,u)* -> equal(a,v) member(f1(a,v),first(w))*. % 299.97/300.37 100664[16:Res:59021.2,1467.1] || subset(u,second(f28(v,w,f1(a,u))))* member(v,apply(w,f1(a,u))) -> equal(a,u). % 299.97/300.37 100615[16:Res:59021.2,1020.0] || subset(u,converse(intersection(v,w)))* -> equal(a,u) member(ordered_pair(second(f1(a,u)),first(f1(a,u))),v)*. % 299.97/300.37 100614[16:Res:59021.2,1021.0] || subset(u,converse(intersection(v,w)))* -> equal(a,u) member(ordered_pair(second(f1(a,u)),first(f1(a,u))),w)*. % 299.97/300.37 101253[16:Res:100563.1,6198.3] || disjoint(set_a,cross_product(u,v))* member(second(w),v)* member(first(w),u)* member(w,powerset(a)) -> . % 299.97/300.37 101770[16:Res:57867.1,5063.1] ordered_pair_predicate(u) || disjoint(complement(f3(u)),v)* equal(w,u)* -> equal(v,a) member(f24(v),second(w))*. % 299.97/300.37 101769[16:Res:57867.1,5018.1] ordered_pair_predicate(u) || disjoint(complement(f2(u)),v)* equal(w,u)* -> equal(v,a) member(f24(v),first(w))*. % 299.97/300.37 101750[16:Res:57867.1,1421.0] || disjoint(complement(ordered_pair(u,v)),w)* -> equal(w,a) equal(f24(w),non_ordered_pair(u,v)) equal(f24(w),singleton_set(u)). % 299.97/300.37 101717[16:Res:57867.1,1014.0] || disjoint(complement(converse(cross_product(u,v))),w)* -> equal(w,a) member(first(ordered_pair(second(f24(w)),first(f24(w)))),u)*. % 299.97/300.37 101716[16:Res:57867.1,1015.0] || disjoint(complement(converse(cross_product(u,v))),w)* -> equal(w,a) member(second(ordered_pair(second(f24(w)),first(f24(w)))),v)*. % 299.97/300.37 101782[16:Obv:101684.1] || disjoint(complement(u),non_ordered_pair(v,w))* -> equal(f24(non_ordered_pair(v,w)),v) member(w,u) equal(non_ordered_pair(v,w),a). % 299.97/300.37 101783[16:Obv:101683.1] || disjoint(complement(u),non_ordered_pair(v,w))* -> equal(f24(non_ordered_pair(v,w)),w) member(v,u) equal(non_ordered_pair(v,w),a). % 299.97/300.37 102447[16:Res:102160.1,6198.3] || disjoint(infinity,cross_product(u,v))* member(second(w),v)* member(first(w),u)* member(w,powerset(a)) -> . % 299.97/300.37 103682[0:Res:1274.2,16184.0] || member(u,apply(v,w)) subset(v,domain_of(intersection(cross_product(x,y),z)))* -> member(f28(u,v,w),x)*. % 299.97/300.37 103680[0:Res:1339.2,16184.0] || member(u,image(v,w)) subset(w,domain_of(intersection(cross_product(x,y),z)))* -> member(f22(u,v,w),x)*. % 299.97/300.37 103659[16:Res:56107.3,16184.0] little_set(u) || subset(f25,domain_of(intersection(cross_product(v,w),x)))* -> equal(u,a) member(ordered_pair(u,f26(u)),v)*. % 299.97/300.37 103602[16:Res:55150.1,16184.0] || -> equal(intersection(u,domain_of(intersection(cross_product(v,w),x))),a) member(f24(intersection(u,domain_of(intersection(cross_product(v,w),x)))),v)*. % 299.97/300.37 103555[16:Res:57719.1,16184.0] || -> equal(restrict(domain_of(intersection(cross_product(u,v),w)),x),a) member(f24(restrict(domain_of(intersection(cross_product(u,v),w)),x)),u)*. % 299.97/300.37 103554[16:Res:55149.1,16184.0] || -> equal(intersection(domain_of(intersection(cross_product(u,v),w)),x),a) member(f24(intersection(domain_of(intersection(cross_product(u,v),w)),x)),u)*. % 299.97/300.37 103553[16:Res:57853.0,16184.0] || -> equal(complement(complement(domain_of(intersection(cross_product(u,v),w)))),a) member(f24(complement(complement(domain_of(intersection(cross_product(u,v),w))))),u)*. % 299.97/300.37 103924[0:Res:1274.2,16416.0] || member(u,apply(v,w)) subset(v,domain_of(intersection(x,cross_product(y,z))))* -> member(f28(u,v,w),y)*. % 299.97/300.37 103922[0:Res:1339.2,16416.0] || member(u,image(v,w)) subset(w,domain_of(intersection(x,cross_product(y,z))))* -> member(f22(u,v,w),y)*. % 299.97/300.37 103901[16:Res:56107.3,16416.0] little_set(u) || subset(f25,domain_of(intersection(v,cross_product(w,x))))* -> equal(u,a) member(ordered_pair(u,f26(u)),w)*. % 299.97/300.37 103844[16:Res:55150.1,16416.0] || -> equal(intersection(u,domain_of(intersection(v,cross_product(w,x)))),a) member(f24(intersection(u,domain_of(intersection(v,cross_product(w,x))))),w)*. % 299.97/300.37 103797[16:Res:57719.1,16416.0] || -> equal(restrict(domain_of(intersection(u,cross_product(v,w))),x),a) member(f24(restrict(domain_of(intersection(u,cross_product(v,w))),x)),v)*. % 299.97/300.37 103796[16:Res:55149.1,16416.0] || -> equal(intersection(domain_of(intersection(u,cross_product(v,w))),x),a) member(f24(intersection(domain_of(intersection(u,cross_product(v,w))),x)),v)*. % 299.97/300.37 103795[16:Res:57853.0,16416.0] || -> equal(complement(complement(domain_of(intersection(u,cross_product(v,w))))),a) member(f24(complement(complement(domain_of(intersection(u,cross_product(v,w)))))),v)*. % 299.97/300.37 104169[0:Res:1274.2,17439.0] || member(u,apply(v,w)) subset(v,range_of(intersection(cross_product(x,y),z)))* -> member(f28(u,v,w),y)*. % 299.97/300.37 104167[0:Res:1339.2,17439.0] || member(u,image(v,w)) subset(w,range_of(intersection(cross_product(x,y),z)))* -> member(f22(u,v,w),y)*. % 299.97/300.37 104146[16:Res:56107.3,17439.0] little_set(u) || subset(f25,range_of(intersection(cross_product(v,w),x)))* -> equal(u,a) member(ordered_pair(u,f26(u)),w)*. % 299.97/300.37 104089[16:Res:55150.1,17439.0] || -> equal(intersection(u,range_of(intersection(cross_product(v,w),x))),a) member(f24(intersection(u,range_of(intersection(cross_product(v,w),x)))),w)*. % 299.97/300.37 104042[16:Res:57719.1,17439.0] || -> equal(restrict(range_of(intersection(cross_product(u,v),w)),x),a) member(f24(restrict(range_of(intersection(cross_product(u,v),w)),x)),v)*. % 299.97/300.37 104041[16:Res:55149.1,17439.0] || -> equal(intersection(range_of(intersection(cross_product(u,v),w)),x),a) member(f24(intersection(range_of(intersection(cross_product(u,v),w)),x)),v)*. % 299.97/300.37 104040[16:Res:57853.0,17439.0] || -> equal(complement(complement(range_of(intersection(cross_product(u,v),w)))),a) member(f24(complement(complement(range_of(intersection(cross_product(u,v),w))))),v)*. % 299.97/300.37 104446[0:Res:1274.2,17546.0] || member(u,apply(v,w)) subset(v,range_of(intersection(x,cross_product(y,z))))* -> member(f28(u,v,w),z)*. % 299.97/300.37 104444[0:Res:1339.2,17546.0] || member(u,image(v,w)) subset(w,range_of(intersection(x,cross_product(y,z))))* -> member(f22(u,v,w),z)*. % 299.97/300.37 104423[16:Res:56107.3,17546.0] little_set(u) || subset(f25,range_of(intersection(v,cross_product(w,x))))* -> equal(u,a) member(ordered_pair(u,f26(u)),x)*. % 299.97/300.37 104366[16:Res:55150.1,17546.0] || -> equal(intersection(u,range_of(intersection(v,cross_product(w,x)))),a) member(f24(intersection(u,range_of(intersection(v,cross_product(w,x))))),x)*. % 299.97/300.37 104319[16:Res:57719.1,17546.0] || -> equal(restrict(range_of(intersection(u,cross_product(v,w))),x),a) member(f24(restrict(range_of(intersection(u,cross_product(v,w))),x)),w)*. % 299.97/300.37 104318[16:Res:55149.1,17546.0] || -> equal(intersection(range_of(intersection(u,cross_product(v,w))),x),a) member(f24(intersection(range_of(intersection(u,cross_product(v,w))),x)),w)*. % 299.97/300.37 104317[16:Res:57853.0,17546.0] || -> equal(complement(complement(range_of(intersection(u,cross_product(v,w))))),a) member(f24(complement(complement(range_of(intersection(u,cross_product(v,w)))))),w)*. % 299.97/300.37 104615[0:Res:18826.1,1137.1] little_set(complement(u)) little_set(v) || -> member(complement(u),complement(w))* member(v,u)* member(v,sigma(union(w,x)))*. % 299.97/300.37 104584[3:Res:18826.1,20705.0] little_set(complement(sigma(union(u,v)))) || -> member(complement(sigma(union(u,v))),complement(u))* member(infinity,sigma(union(u,v))). % 299.97/300.37 104745[0:MRR:104595.0,5.0] || member(f1(u,union(v,w)),u)* -> member(f1(u,union(v,w)),complement(v))* equal(u,union(v,w)). % 299.97/300.37 104959[0:Res:18827.1,1137.1] little_set(complement(u)) little_set(v) || -> member(complement(u),complement(w))* member(v,u)* member(v,sigma(union(x,w)))*. % 299.97/300.37 104928[3:Res:18827.1,20705.0] little_set(complement(sigma(union(u,v)))) || -> member(complement(sigma(union(u,v))),complement(v))* member(infinity,sigma(union(u,v))). % 299.97/300.37 105091[0:MRR:104939.0,5.0] || member(f1(u,union(v,w)),u)* -> member(f1(u,union(v,w)),complement(w))* equal(u,union(v,w)). % 299.97/300.37 105399[0:Res:1274.2,26698.0] || member(u,apply(v,w)) subset(v,apply(cross_product(x,y),z))* -> member(f28(u,v,w),sigma(y))*. % 299.97/300.37 105397[0:Res:1339.2,26698.0] || member(u,image(v,w)) subset(w,apply(cross_product(x,y),z))* -> member(f22(u,v,w),sigma(y))*. % 299.97/300.37 105382[16:Res:55152.1,26698.0] || -> equal(cross_product(apply(cross_product(u,v),w),x),a) member(first(f24(cross_product(apply(cross_product(u,v),w),x))),sigma(v))*. % 299.97/300.37 105376[16:Res:56107.3,26698.0] little_set(u) || subset(f25,apply(cross_product(v,w),x))* -> equal(u,a) member(ordered_pair(u,f26(u)),sigma(w))*. % 299.97/300.37 105336[0:Res:281.1,26698.0] || -> disjoint(u,intersection(v,apply(cross_product(w,x),y))) member(f23(u,intersection(v,apply(cross_product(w,x),y))),sigma(x))*. % 299.97/300.37 105330[0:Res:93.1,26698.0] || member(u,image(v,apply(cross_product(w,x),y))) -> member(f22(u,v,apply(cross_product(w,x),y)),sigma(x))*. % 299.97/300.37 105316[16:Res:55151.1,26698.0] || -> equal(cross_product(u,apply(cross_product(v,w),x)),a) member(second(f24(cross_product(u,apply(cross_product(v,w),x)))),sigma(w))*. % 299.97/300.37 105310[16:Res:59051.1,26698.0] || -> equal(intersection(u,apply(cross_product(v,w),x)),a) member(f1(a,intersection(u,apply(cross_product(v,w),x))),sigma(w))*. % 299.97/300.37 105309[16:Res:59049.1,26698.0] || -> equal(intersection(u,apply(cross_product(v,w),x)),a) member(f1(intersection(u,apply(cross_product(v,w),x)),a),sigma(w))*. % 299.97/300.37 105307[0:Res:3813.2,26698.0] || disjoint(u,universal_set) -> equal(apply(cross_product(v,w),x),u) member(f1(apply(cross_product(v,w),x),u),sigma(w))*. % 299.97/300.37 105301[0:Res:3831.2,26698.0] || disjoint(u,universal_set) -> equal(u,apply(cross_product(v,w),x)) member(f1(u,apply(cross_product(v,w),x)),sigma(w))*. % 299.97/300.37 105299[0:Res:118.1,26698.0] || member(u,apply(apply(cross_product(v,w),x),y)) -> member(f28(u,apply(cross_product(v,w),x),y),sigma(w))*. % 299.97/300.37 105292[0:Res:278.1,26698.0] || -> subset(intersection(u,apply(cross_product(v,w),x)),y) member(f17(intersection(u,apply(cross_product(v,w),x)),y),sigma(w))*. % 299.97/300.37 105289[0:Res:277.1,26698.0] || -> disjoint(intersection(u,apply(cross_product(v,w),x)),y) member(f23(intersection(u,apply(cross_product(v,w),x)),y),sigma(w))*. % 299.97/300.37 105287[0:Res:289.1,26698.0] || -> disjoint(u,intersection(apply(cross_product(v,w),x),y)) member(f23(u,intersection(apply(cross_product(v,w),x),y)),sigma(w))*. % 299.97/300.37 105285[0:Res:9082.0,26698.0] || -> disjoint(u,complement(complement(apply(cross_product(v,w),x)))) member(f23(u,complement(complement(apply(cross_product(v,w),x)))),sigma(w))*. % 299.97/300.37 105264[16:Res:59052.1,26698.0] || -> equal(restrict(apply(cross_product(u,v),w),x),a) member(f1(restrict(apply(cross_product(u,v),w),x),a),sigma(v))*. % 299.97/300.37 105263[16:Res:59053.1,26698.0] || -> equal(restrict(apply(cross_product(u,v),w),x),a) member(f1(a,restrict(apply(cross_product(u,v),w),x)),sigma(v))*. % 299.97/300.37 105262[16:Res:59050.1,26698.0] || -> equal(intersection(apply(cross_product(u,v),w),x),a) member(f1(a,intersection(apply(cross_product(u,v),w),x)),sigma(v))*. % 299.97/300.37 105259[16:Res:59048.1,26698.0] || -> equal(intersection(apply(cross_product(u,v),w),x),a) member(f1(intersection(apply(cross_product(u,v),w),x),a),sigma(v))*. % 299.97/300.37 105246[0:Res:285.1,26698.0] || -> disjoint(intersection(apply(cross_product(u,v),w),x),y) member(f23(intersection(apply(cross_product(u,v),w),x),y),sigma(v))*. % 299.97/300.37 105245[0:Res:9151.0,26698.0] || -> disjoint(complement(complement(apply(cross_product(u,v),w))),x) member(f23(complement(complement(apply(cross_product(u,v),w))),x),sigma(v))*. % 299.97/300.37 105243[0:Res:286.1,26698.0] || -> subset(intersection(apply(cross_product(u,v),w),x),y) member(f17(intersection(apply(cross_product(u,v),w),x),y),sigma(v))*. % 299.97/300.37 105242[0:Res:8090.0,26698.0] || -> subset(complement(complement(apply(cross_product(u,v),w))),x) member(f17(complement(complement(apply(cross_product(u,v),w))),x),sigma(v))*. % 299.97/300.37 105445[3:AED:105423.2] || member(u,apply(second(v),w)) member(v,cross_product(x,y))* -> member(f28(u,second(v),w),sigma(y))*. % 299.97/300.37 105446[3:AED:105422.2] || member(u,image(v,second(w))) member(w,cross_product(x,y))* -> member(f22(u,v,second(w)),sigma(y))*. % 299.97/300.37 1436[0:Res:395.0,8.0] || -> subset(u,complement(non_ordered_pair(v,w))) equal(f17(u,complement(non_ordered_pair(v,w))),w)** equal(f17(u,complement(non_ordered_pair(v,w))),v)**. % 299.97/300.37 4632[0:Res:58.1,1444.0] || member(u,flip_range_of(singleton_set(v))) -> equal(ordered_pair(f12(u,singleton_set(v)),ordered_pair(f14(u,singleton_set(v)),f13(u,singleton_set(v)))),v)**. % 299.97/300.37 4780[0:Res:52.1,1444.0] || member(u,rotate_right(singleton_set(v))) -> equal(ordered_pair(f10(u,singleton_set(v)),ordered_pair(f11(u,singleton_set(v)),f9(u,singleton_set(v)))),v)**. % 299.97/300.37 5396[0:Res:4258.0,8.0] || -> equal(complement(non_ordered_pair(u,v)),universal_set) equal(f1(complement(non_ordered_pair(u,v)),universal_set),v)** equal(f1(complement(non_ordered_pair(u,v)),universal_set),u)**. % 299.97/300.37 5840[3:Rew:5768.0,5216.4] little_set(u) little_set(v) little_set(w) single_valued_set(converse(universal_set)) || member(ordered_pair(w,v),universal_set)* -> equal(v,u)*. % 299.97/300.37 7245[0:Res:6.1,547.0] || -> equal(u,range_of(cross_product(v,w))) member(f1(u,range_of(cross_product(v,w))),u)* member(f1(u,range_of(cross_product(v,w))),w)*. % 299.97/300.37 7234[0:Res:6.2,547.0] || -> equal(range_of(cross_product(u,v)),w) member(f1(range_of(cross_product(u,v)),w),w)* member(f1(range_of(cross_product(u,v)),w),v)*. % 299.97/300.37 7291[0:Res:6.1,560.0] || -> equal(u,domain_of(cross_product(v,w))) member(f1(u,domain_of(cross_product(v,w))),u)* member(f1(u,domain_of(cross_product(v,w))),v)*. % 299.97/300.37 7280[0:Res:6.2,560.0] || -> equal(domain_of(cross_product(u,v)),w) member(f1(domain_of(cross_product(u,v)),w),w)* member(f1(domain_of(cross_product(u,v)),w),u)*. % 299.97/300.37 7892[3:Res:6.1,6176.0] || -> equal(u,converse(v)) member(f1(u,converse(v)),u) ordered_pair_predicate(ordered_pair(second(f1(u,converse(v))),first(f1(u,converse(v)))))*. % 299.97/300.37 7881[3:Res:6.2,6176.0] || -> equal(converse(u),v) member(f1(converse(u),v),v) ordered_pair_predicate(ordered_pair(second(f1(converse(u),v)),first(f1(converse(u),v))))*. % 299.97/300.37 9659[0:SSi:9658.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(powerset(universal_set)) || member(ordered_pair(w,v),universal_set)* -> equal(v,u)*. % 299.97/300.37 11116[0:Res:6.1,4238.0] || equal(u,f1(v,compose(w,x)))* -> equal(v,compose(w,x)) member(f1(v,compose(w,x)),v)* ordered_pair_predicate(u)*. % 299.97/300.37 11105[0:Res:6.2,4238.0] || equal(u,f1(compose(v,w),x))* -> equal(compose(v,w),x) member(f1(compose(v,w),x),x)* ordered_pair_predicate(u)*. % 299.97/300.37 11232[3:Res:278.1,6176.0] || -> subset(intersection(u,converse(v)),w) ordered_pair_predicate(ordered_pair(second(f17(intersection(u,converse(v)),w)),first(f17(intersection(u,converse(v)),w))))*. % 299.97/300.37 11290[3:Res:286.1,6176.0] || -> subset(intersection(converse(u),v),w) ordered_pair_predicate(ordered_pair(second(f17(intersection(converse(u),v),w)),first(f17(intersection(converse(u),v),w))))*. % 299.97/300.37 11622[3:Res:285.1,6176.0] || -> disjoint(intersection(converse(u),v),w) ordered_pair_predicate(ordered_pair(second(f23(intersection(converse(u),v),w)),first(f23(intersection(converse(u),v),w))))*. % 299.97/300.37 11716[3:Res:289.1,6176.0] || -> disjoint(u,intersection(converse(v),w)) ordered_pair_predicate(ordered_pair(second(f23(u,intersection(converse(v),w))),first(f23(u,intersection(converse(v),w)))))*. % 299.97/300.37 11814[3:Res:277.1,6176.0] || -> disjoint(intersection(u,converse(v)),w) ordered_pair_predicate(ordered_pair(second(f23(intersection(u,converse(v)),w)),first(f23(intersection(u,converse(v)),w))))*. % 299.97/300.37 11975[3:Res:281.1,6176.0] || -> disjoint(u,intersection(v,converse(w))) ordered_pair_predicate(ordered_pair(second(f23(u,intersection(v,converse(w)))),first(f23(u,intersection(v,converse(w))))))*. % 299.97/300.37 12292[3:MRR:12265.0,6165.1] || member(second(successor(u)),v)* member(first(successor(u)),w)* member(u,infinity) disjoint(cross_product(w,v),infinity)* -> . % 299.97/300.37 12374[0:MRR:12373.0,37.1] || member(second(f8(u,complement(cross_product(v,w)))),w)* member(u,v) member(u,domain_of(complement(cross_product(v,w)))) -> . % 299.97/300.37 12475[0:MRR:12474.0,106.1] || member(u,v) member(first(f27(u,complement(cross_product(w,v)))),w)* member(u,range_of(complement(cross_product(w,v)))) -> . % 299.97/300.37 12907[2:Res:956.2,644.1] || subset(u,second(f8(ordered_pair(f19(u),f21(u)),v)))* member(ordered_pair(f19(u),f21(u)),domain_of(v)) -> single_valued_set(u). % 299.97/300.37 12899[0:Res:956.2,8.0] || subset(u,non_ordered_pair(v,w))* -> single_valued_set(u) equal(ordered_pair(f19(u),f21(u)),w)* equal(ordered_pair(f19(u),f21(u)),v)*. % 299.97/300.37 13022[2:Res:957.2,644.1] || subset(u,second(f8(ordered_pair(f19(u),f20(u)),v)))* member(ordered_pair(f19(u),f20(u)),domain_of(v)) -> single_valued_set(u). % 299.97/300.37 13014[0:Res:957.2,8.0] || subset(u,non_ordered_pair(v,w))* -> single_valued_set(u) equal(ordered_pair(f19(u),f20(u)),w)* equal(ordered_pair(f19(u),f20(u)),v)*. % 299.97/300.37 13219[0:MRR:13198.0,5.0] || equal(f1(u,ordered_pair(v,w)),singleton_set(v)) member(f1(u,ordered_pair(v,w)),u)* -> equal(u,ordered_pair(v,w)). % 299.97/300.37 14349[0:SpL:108.1,1019.1] || member(u,range_of(v)) member(f27(u,v),converse(complement(w))) member(ordered_pair(u,first(f27(u,v))),w)* -> . % 299.97/300.37 14344[0:SpL:39.1,1019.1] || member(u,domain_of(v)) member(f8(u,v),converse(complement(w))) member(ordered_pair(second(f8(u,v)),u),w)* -> . % 299.97/300.37 16175[0:Res:493.1,1354.0] || member(u,domain_of(intersection(image(v,cross_product(w,x)),y))) -> member(f8(u,intersection(image(v,cross_product(w,x)),y)),x)*. % 299.97/300.37 16406[0:Res:494.1,1354.0] || member(u,domain_of(intersection(v,image(w,cross_product(x,y))))) -> member(f8(u,intersection(v,image(w,cross_product(x,y)))),y)*. % 299.97/300.37 17133[0:Res:455.1,1354.0] || member(u,sigma(intersection(image(v,cross_product(w,x)),y))) -> member(f16(u,intersection(image(v,cross_product(w,x)),y)),x)*. % 299.97/300.37 17234[0:Res:456.1,1354.0] || member(u,sigma(intersection(v,image(w,cross_product(x,y))))) -> member(f16(u,intersection(v,image(w,cross_product(x,y)))),y)*. % 299.97/300.37 17427[0:Res:426.1,1354.0] || member(u,range_of(intersection(image(v,cross_product(w,x)),y))) -> member(f27(u,intersection(image(v,cross_product(w,x)),y)),x)*. % 299.97/300.37 17534[0:Res:427.1,1354.0] || member(u,range_of(intersection(v,image(w,cross_product(x,y))))) -> member(f27(u,intersection(v,image(w,cross_product(x,y)))),y)*. % 299.97/300.37 17669[2:Rew:122.0,17665.1] || member(u,converse(second(f28(v,w,ordered_pair(second(u),first(u))))))* member(v,apply_to_two_arguments(w,second(u),first(u))) -> . % 299.97/300.37 17922[0:Res:955.2,1014.0] || subset(u,converse(cross_product(v,w)))* -> subset(u,x) member(first(ordered_pair(second(f17(u,x)),first(f17(u,x)))),v)*. % 299.97/300.37 17919[0:Res:961.2,1014.0] || subset(u,converse(cross_product(v,w)))* -> disjoint(x,u) member(first(ordered_pair(second(f23(x,u)),first(f23(x,u)))),v)*. % 299.97/300.37 17917[0:Res:954.2,1014.0] || subset(u,converse(cross_product(v,w)))* -> disjoint(u,x) member(first(ordered_pair(second(f23(u,x)),first(f23(u,x)))),v)*. % 299.97/300.37 17969[0:Rew:95.1,17940.1] || member(u,image(v,converse(cross_product(w,x)))) -> member(first(ordered_pair(u,first(f22(u,v,converse(cross_product(w,x)))))),w)*. % 299.97/300.37 17970[0:Rew:119.1,17930.1] || member(u,apply(converse(cross_product(v,w)),x)) -> member(first(ordered_pair(second(f28(u,converse(cross_product(v,w)),x)),x)),v)*. % 299.97/300.37 18046[0:Res:955.2,1015.0] || subset(u,converse(cross_product(v,w)))* -> subset(u,x) member(second(ordered_pair(second(f17(u,x)),first(f17(u,x)))),w)*. % 299.97/300.37 18043[0:Res:961.2,1015.0] || subset(u,converse(cross_product(v,w)))* -> disjoint(x,u) member(second(ordered_pair(second(f23(x,u)),first(f23(x,u)))),w)*. % 299.97/300.37 18041[0:Res:954.2,1015.0] || subset(u,converse(cross_product(v,w)))* -> disjoint(u,x) member(second(ordered_pair(second(f23(u,x)),first(f23(u,x)))),w)*. % 299.97/300.37 18093[0:Rew:95.1,18064.1] || member(u,image(v,converse(cross_product(w,x)))) -> member(second(ordered_pair(u,first(f22(u,v,converse(cross_product(w,x)))))),x)*. % 299.97/300.37 18094[0:Rew:119.1,18054.1] || member(u,apply(converse(cross_product(v,w)),x)) -> member(second(ordered_pair(second(f28(u,converse(cross_product(v,w)),x)),x)),w)*. % 299.97/300.37 18261[0:Res:279.1,43.0] || -> single_valued_set(intersection(u,cross_product(v,w))) member(second(ordered_pair(f19(intersection(u,cross_product(v,w))),f21(intersection(u,cross_product(v,w))))),w)*. % 299.97/300.37 18260[0:Res:279.1,42.0] || -> single_valued_set(intersection(u,cross_product(v,w))) member(first(ordered_pair(f19(intersection(u,cross_product(v,w))),f21(intersection(u,cross_product(v,w))))),v)*. % 299.97/300.37 18398[0:Res:280.1,43.0] || -> single_valued_set(intersection(u,cross_product(v,w))) member(second(ordered_pair(f19(intersection(u,cross_product(v,w))),f20(intersection(u,cross_product(v,w))))),w)*. % 299.97/300.37 18397[0:Res:280.1,42.0] || -> single_valued_set(intersection(u,cross_product(v,w))) member(first(ordered_pair(f19(intersection(u,cross_product(v,w))),f20(intersection(u,cross_product(v,w))))),v)*. % 299.97/300.37 18480[0:Res:287.1,43.0] || -> single_valued_set(intersection(cross_product(u,v),w)) member(second(ordered_pair(f19(intersection(cross_product(u,v),w)),f21(intersection(cross_product(u,v),w)))),v)*. % 299.97/300.37 18479[0:Res:287.1,42.0] || -> single_valued_set(intersection(cross_product(u,v),w)) member(first(ordered_pair(f19(intersection(cross_product(u,v),w)),f21(intersection(cross_product(u,v),w)))),u)*. % 299.97/300.37 18622[0:Res:288.1,43.0] || -> single_valued_set(intersection(cross_product(u,v),w)) member(second(ordered_pair(f19(intersection(cross_product(u,v),w)),f20(intersection(cross_product(u,v),w)))),v)*. % 299.97/300.37 18621[0:Res:288.1,42.0] || -> single_valued_set(intersection(cross_product(u,v),w)) member(first(ordered_pair(f19(intersection(cross_product(u,v),w)),f20(intersection(cross_product(u,v),w)))),u)*. % 299.97/300.37 18938[0:Res:1103.2,1137.1] little_set(complement(u)) little_set(v) || equal(complement(u),singleton_set(w))* -> member(v,u)* member(v,sigma(ordered_pair(w,x)))*. % 299.97/300.37 18931[0:Res:33.2,1137.1] little_set(u) || member(complement(v),w)* member(complement(v),x)* -> member(u,v)* member(u,sigma(intersection(x,w)))*. % 299.97/300.37 18930[0:Res:120.1,1137.1] little_set(u) || member(complement(v),apply(w,x)) -> member(u,v) member(u,sigma(second(f28(complement(v),w,x))))*. % 299.97/300.37 19570[0:Res:546.1,4238.0] || member(u,domain_of(cross_product(v,compose(w,x)))) equal(y,second(f8(u,cross_product(v,compose(w,x)))))* -> ordered_pair_predicate(y)*. % 299.97/300.37 19769[0:MRR:19768.0,37.1] || member(second(f8(u,v)),w)* member(u,x)* member(u,domain_of(v)) disjoint(cross_product(x,w),v)* -> . % 299.97/300.37 20026[0:MRR:20025.0,106.1] || member(u,v)* member(first(f27(u,w)),x)* member(u,range_of(w)) disjoint(cross_product(x,v),w)* -> . % 299.97/300.37 20655[0:Res:545.1,4238.0] || member(u,sigma(cross_product(v,compose(w,x)))) equal(y,second(f16(u,cross_product(v,compose(w,x)))))* -> ordered_pair_predicate(y)*. % 299.97/300.37 20763[0:Res:558.1,4238.0] || member(u,sigma(cross_product(compose(v,w),x))) equal(y,first(f16(u,cross_product(compose(v,w),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.37 20898[0:Res:557.1,4238.0] || member(u,range_of(cross_product(compose(v,w),x))) equal(y,first(f27(u,cross_product(compose(v,w),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.37 21124[0:Res:3651.2,1219.1] || member(successor(u),cross_product(v,universal_set))* member(successor(u),w)* member(u,infinity) disjoint(restrict(w,v),infinity)* -> . % 299.97/300.37 21212[0:Res:955.2,1421.0] || subset(u,ordered_pair(v,w))* -> subset(u,x) equal(f17(u,x),non_ordered_pair(v,w))* equal(f17(u,x),singleton_set(v)). % 299.97/300.37 21209[0:Res:961.2,1421.0] || subset(u,ordered_pair(v,w))* -> disjoint(x,u) equal(f23(x,u),non_ordered_pair(v,w))* equal(f23(x,u),singleton_set(v)). % 299.97/300.37 21207[0:Res:954.2,1421.0] || subset(u,ordered_pair(v,w))* -> disjoint(u,x) equal(f23(u,x),non_ordered_pair(v,w))* equal(f23(u,x),singleton_set(v)). % 299.97/300.37 21206[0:Res:100.1,1421.0] || -> disjoint(u,ordered_pair(v,w)) equal(f23(u,ordered_pair(v,w)),non_ordered_pair(v,w))** equal(f23(u,ordered_pair(v,w)),singleton_set(v)). % 299.97/300.37 21193[0:Res:99.1,1421.0] || -> disjoint(ordered_pair(u,v),w) equal(f23(ordered_pair(u,v),w),non_ordered_pair(u,v))** equal(f23(ordered_pair(u,v),w),singleton_set(u)). % 299.97/300.37 21191[0:Res:71.1,1421.0] || -> subset(ordered_pair(u,v),w) equal(f17(ordered_pair(u,v),w),non_ordered_pair(u,v))** equal(f17(ordered_pair(u,v),w),singleton_set(u)). % 299.97/300.37 21477[0:Res:540.1,282.0] || -> single_valued_set(cross_product(u,restrict(v,w))) member(second(ordered_pair(f19(cross_product(u,restrict(v,w))),f21(cross_product(u,restrict(v,w))))),v)*. % 299.97/300.37 21475[0:Res:540.1,15955.0] || -> single_valued_set(cross_product(u,sigma(powerset(v)))) member(second(ordered_pair(f19(cross_product(u,sigma(powerset(v)))),f21(cross_product(u,sigma(powerset(v)))))),v)*. % 299.97/300.37 21471[0:Res:540.1,32.0] || -> single_valued_set(cross_product(u,intersection(v,w))) member(second(ordered_pair(f19(cross_product(u,intersection(v,w))),f21(cross_product(u,intersection(v,w))))),w)*. % 299.97/300.37 21470[0:Res:540.1,31.0] || -> single_valued_set(cross_product(u,intersection(v,w))) member(second(ordered_pair(f19(cross_product(u,intersection(v,w))),f21(cross_product(u,intersection(v,w))))),v)*. % 299.97/300.37 21463[0:Res:540.1,10964.0] || -> single_valued_set(cross_product(u,complement(complement(v)))) member(second(ordered_pair(f19(cross_product(u,complement(complement(v)))),f21(cross_product(u,complement(complement(v)))))),v)*. % 299.97/300.37 21451[0:Res:540.1,4578.0] || equal(u,second(ordered_pair(f19(cross_product(v,rotate_right(w))),f21(cross_product(v,rotate_right(w))))))* -> single_valued_set(cross_product(v,rotate_right(w))) ordered_pair_predicate(u)*. % 299.97/300.37 21449[0:Res:540.1,4549.0] || equal(u,second(ordered_pair(f19(cross_product(v,flip_range_of(w))),f21(cross_product(v,flip_range_of(w))))))* -> single_valued_set(cross_product(v,flip_range_of(w))) ordered_pair_predicate(u)*. % 299.97/300.37 21637[0:Res:541.1,282.0] || -> single_valued_set(cross_product(u,restrict(v,w))) member(second(ordered_pair(f19(cross_product(u,restrict(v,w))),f20(cross_product(u,restrict(v,w))))),v)*. % 299.97/300.37 21635[0:Res:541.1,15955.0] || -> single_valued_set(cross_product(u,sigma(powerset(v)))) member(second(ordered_pair(f19(cross_product(u,sigma(powerset(v)))),f20(cross_product(u,sigma(powerset(v)))))),v)*. % 299.97/300.37 21631[0:Res:541.1,32.0] || -> single_valued_set(cross_product(u,intersection(v,w))) member(second(ordered_pair(f19(cross_product(u,intersection(v,w))),f20(cross_product(u,intersection(v,w))))),w)*. % 299.97/300.37 21630[0:Res:541.1,31.0] || -> single_valued_set(cross_product(u,intersection(v,w))) member(second(ordered_pair(f19(cross_product(u,intersection(v,w))),f20(cross_product(u,intersection(v,w))))),v)*. % 299.97/300.37 21623[0:Res:541.1,10964.0] || -> single_valued_set(cross_product(u,complement(complement(v)))) member(second(ordered_pair(f19(cross_product(u,complement(complement(v)))),f20(cross_product(u,complement(complement(v)))))),v)*. % 299.97/300.37 21611[0:Res:541.1,4578.0] || equal(u,second(ordered_pair(f19(cross_product(v,rotate_right(w))),f20(cross_product(v,rotate_right(w))))))* -> single_valued_set(cross_product(v,rotate_right(w))) ordered_pair_predicate(u)*. % 299.97/300.37 21609[0:Res:541.1,4549.0] || equal(u,second(ordered_pair(f19(cross_product(v,flip_range_of(w))),f20(cross_product(v,flip_range_of(w))))))* -> single_valued_set(cross_product(v,flip_range_of(w))) ordered_pair_predicate(u)*. % 299.97/300.37 21716[0:Res:553.1,282.0] || -> single_valued_set(cross_product(restrict(u,v),w)) member(first(ordered_pair(f19(cross_product(restrict(u,v),w)),f21(cross_product(restrict(u,v),w)))),u)*. % 299.97/300.37 21714[0:Res:553.1,15955.0] || -> single_valued_set(cross_product(sigma(powerset(u)),v)) member(first(ordered_pair(f19(cross_product(sigma(powerset(u)),v)),f21(cross_product(sigma(powerset(u)),v)))),u)*. % 299.97/300.37 21710[0:Res:553.1,32.0] || -> single_valued_set(cross_product(intersection(u,v),w)) member(first(ordered_pair(f19(cross_product(intersection(u,v),w)),f21(cross_product(intersection(u,v),w)))),v)*. % 299.97/300.37 21709[0:Res:553.1,31.0] || -> single_valued_set(cross_product(intersection(u,v),w)) member(first(ordered_pair(f19(cross_product(intersection(u,v),w)),f21(cross_product(intersection(u,v),w)))),u)*. % 299.97/300.37 21702[0:Res:553.1,10964.0] || -> single_valued_set(cross_product(complement(complement(u)),v)) member(first(ordered_pair(f19(cross_product(complement(complement(u)),v)),f21(cross_product(complement(complement(u)),v)))),u)*. % 299.97/300.37 21690[0:Res:553.1,4578.0] || equal(u,first(ordered_pair(f19(cross_product(rotate_right(v),w)),f21(cross_product(rotate_right(v),w)))))* -> single_valued_set(cross_product(rotate_right(v),w)) ordered_pair_predicate(u)*. % 299.97/300.37 21688[0:Res:553.1,4549.0] || equal(u,first(ordered_pair(f19(cross_product(flip_range_of(v),w)),f21(cross_product(flip_range_of(v),w)))))* -> single_valued_set(cross_product(flip_range_of(v),w)) ordered_pair_predicate(u)*. % 299.97/300.37 21805[0:Res:554.1,282.0] || -> single_valued_set(cross_product(restrict(u,v),w)) member(first(ordered_pair(f19(cross_product(restrict(u,v),w)),f20(cross_product(restrict(u,v),w)))),u)*. % 299.97/300.37 21803[0:Res:554.1,15955.0] || -> single_valued_set(cross_product(sigma(powerset(u)),v)) member(first(ordered_pair(f19(cross_product(sigma(powerset(u)),v)),f20(cross_product(sigma(powerset(u)),v)))),u)*. % 299.97/300.37 21799[0:Res:554.1,32.0] || -> single_valued_set(cross_product(intersection(u,v),w)) member(first(ordered_pair(f19(cross_product(intersection(u,v),w)),f20(cross_product(intersection(u,v),w)))),v)*. % 299.97/300.37 21798[0:Res:554.1,31.0] || -> single_valued_set(cross_product(intersection(u,v),w)) member(first(ordered_pair(f19(cross_product(intersection(u,v),w)),f20(cross_product(intersection(u,v),w)))),u)*. % 299.97/300.37 21791[0:Res:554.1,10964.0] || -> single_valued_set(cross_product(complement(complement(u)),v)) member(first(ordered_pair(f19(cross_product(complement(complement(u)),v)),f20(cross_product(complement(complement(u)),v)))),u)*. % 299.97/300.37 21779[0:Res:554.1,4578.0] || equal(u,first(ordered_pair(f19(cross_product(rotate_right(v),w)),f20(cross_product(rotate_right(v),w)))))* -> single_valued_set(cross_product(rotate_right(v),w)) ordered_pair_predicate(u)*. % 299.97/300.37 21777[0:Res:554.1,4549.0] || equal(u,first(ordered_pair(f19(cross_product(flip_range_of(v),w)),f20(cross_product(flip_range_of(v),w)))))* -> single_valued_set(cross_product(flip_range_of(v),w)) ordered_pair_predicate(u)*. % 299.97/300.37 21890[0:Res:960.2,1009.0] || member(u,infinity) subset(infinity,converse(v))* subset(v,w)* -> member(ordered_pair(second(successor(u)),first(successor(u))),w)*. % 299.97/300.37 21930[0:Rew:108.1,21903.3] || member(u,range_of(v)) subset(v,converse(w))* subset(w,x)* -> member(ordered_pair(u,first(f27(u,v))),x)*. % 299.97/300.37 21931[0:Rew:39.1,21899.3] || member(u,domain_of(v)) subset(v,converse(w))* subset(w,x)* -> member(ordered_pair(second(f8(u,v)),u),x)*. % 299.97/300.37 21978[0:Res:10.2,1136.2] little_set(powerset(u)) little_set(v) || equal(powerset(u),w)* subset(v,u)* -> member(v,sigma(non_ordered_pair(x,w)))*. % 299.97/300.37 21977[0:Res:9.2,1136.2] little_set(powerset(u)) little_set(v) || equal(powerset(u),w)* subset(v,u)* -> member(v,sigma(non_ordered_pair(w,x)))*. % 299.97/300.37 22173[0:Rew:36.0,22140.0] || member(u,image(union(v,w),x)) member(first(f22(u,union(v,w),x)),intersection(complement(v),complement(w)))* -> . % 299.97/300.37 22179[0:MRR:22163.0,1545.1] || equal(first(f22(u,complement(ordered_pair(v,w)),x)),non_ordered_pair(v,w))** member(u,image(complement(ordered_pair(v,w)),x)) -> . % 299.97/300.37 22340[0:Res:5009.3,1214.0] little_set(u) little_set(v) || member(f17(w,x),v)* disjoint(first(ordered_pair(v,u)),w)* -> subset(w,x). % 299.97/300.37 22339[0:Res:5009.3,1221.0] little_set(u) little_set(v) || member(f23(w,x),v)* disjoint(first(ordered_pair(v,u)),x)* -> disjoint(w,x). % 299.97/300.37 22338[0:Res:5009.3,1213.0] little_set(u) little_set(v) || member(f23(w,x),v)* disjoint(first(ordered_pair(v,u)),w)* -> disjoint(w,x). % 299.97/300.37 22334[0:Res:5009.3,1219.1] little_set(u) little_set(v) || member(successor(w),v)* member(w,infinity) disjoint(first(ordered_pair(v,u)),infinity)* -> . % 299.97/300.37 22491[0:Res:957.2,5018.1] ordered_pair_predicate(u) || subset(v,f2(u))* equal(w,u)* -> single_valued_set(v) member(ordered_pair(f19(v),f20(v)),first(w))*. % 299.97/300.37 22490[0:Res:956.2,5018.1] ordered_pair_predicate(u) || subset(v,f2(u))* equal(w,u)* -> single_valued_set(v) member(ordered_pair(f19(v),f21(v)),first(w))*. % 299.97/300.37 22478[0:Res:281.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,intersection(x,f2(u))) member(f23(w,intersection(x,f2(u))),first(v))*. % 299.97/300.37 22475[0:Res:93.1,5018.1] ordered_pair_predicate(u) || member(v,image(w,f2(u))) equal(x,u) -> member(f22(v,w,f2(u)),first(x))*. % 299.97/300.37 22461[0:Res:118.1,5018.1] ordered_pair_predicate(u) || member(v,apply(f2(u),w)) equal(x,u) -> member(f28(v,f2(u),w),first(x))*. % 299.97/300.37 22454[0:Res:278.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> subset(intersection(w,f2(u)),x) member(f17(intersection(w,f2(u)),x),first(v))*. % 299.97/300.37 22451[0:Res:277.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(intersection(w,f2(u)),x) member(f23(intersection(w,f2(u)),x),first(v))*. % 299.97/300.37 22449[0:Res:289.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,intersection(f2(u),x)) member(f23(w,intersection(f2(u),x)),first(v))*. % 299.97/300.37 22434[0:Res:285.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(intersection(f2(u),w),x) member(f23(intersection(f2(u),w),x),first(v))*. % 299.97/300.37 22432[0:Res:286.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> subset(intersection(f2(u),w),x) member(f17(intersection(f2(u),w),x),first(v))*. % 299.97/300.37 22584[0:Res:5054.3,1214.0] little_set(u) little_set(v) || member(f17(w,x),u)* disjoint(second(ordered_pair(v,u)),w)* -> subset(w,x). % 299.97/300.37 22583[0:Res:5054.3,1221.0] little_set(u) little_set(v) || member(f23(w,x),u)* disjoint(second(ordered_pair(v,u)),x)* -> disjoint(w,x). % 299.97/300.37 22582[0:Res:5054.3,1213.0] little_set(u) little_set(v) || member(f23(w,x),u)* disjoint(second(ordered_pair(v,u)),w)* -> disjoint(w,x). % 299.97/300.37 22578[0:Res:5054.3,1219.1] little_set(u) little_set(v) || member(successor(w),u)* member(w,infinity) disjoint(second(ordered_pair(v,u)),infinity)* -> . % 299.97/300.37 22699[0:Res:957.2,5063.1] ordered_pair_predicate(u) || subset(v,f3(u))* equal(w,u)* -> single_valued_set(v) member(ordered_pair(f19(v),f20(v)),second(w))*. % 299.97/300.37 22698[0:Res:956.2,5063.1] ordered_pair_predicate(u) || subset(v,f3(u))* equal(w,u)* -> single_valued_set(v) member(ordered_pair(f19(v),f21(v)),second(w))*. % 299.97/300.37 22686[0:Res:281.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,intersection(x,f3(u))) member(f23(w,intersection(x,f3(u))),second(v))*. % 299.97/300.37 22683[0:Res:93.1,5063.1] ordered_pair_predicate(u) || member(v,image(w,f3(u))) equal(x,u) -> member(f22(v,w,f3(u)),second(x))*. % 299.97/300.37 22669[0:Res:118.1,5063.1] ordered_pair_predicate(u) || member(v,apply(f3(u),w)) equal(x,u) -> member(f28(v,f3(u),w),second(x))*. % 299.97/300.37 22662[0:Res:278.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> subset(intersection(w,f3(u)),x) member(f17(intersection(w,f3(u)),x),second(v))*. % 299.97/300.37 22659[0:Res:277.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(intersection(w,f3(u)),x) member(f23(intersection(w,f3(u)),x),second(v))*. % 299.97/300.37 22657[0:Res:289.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,intersection(f3(u),x)) member(f23(w,intersection(f3(u),x)),second(v))*. % 299.97/300.37 22642[0:Res:285.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(intersection(f3(u),w),x) member(f23(intersection(f3(u),w),x),second(v))*. % 299.97/300.37 22640[0:Res:286.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> subset(intersection(f3(u),w),x) member(f17(intersection(f3(u),w),x),second(v))*. % 299.97/300.37 22831[0:Res:3821.1,282.0] || -> equal(restrict(u,v),powerset(w)) subset(f1(restrict(u,v),powerset(w)),w)* member(f1(restrict(u,v),powerset(w)),u)*. % 299.97/300.37 22829[0:Res:3821.1,15955.0] || -> equal(sigma(powerset(u)),powerset(v)) subset(f1(sigma(powerset(u)),powerset(v)),v)* member(f1(sigma(powerset(u)),powerset(v)),u)*. % 299.97/300.37 22825[0:Res:3821.1,32.0] || -> equal(intersection(u,v),powerset(w)) subset(f1(intersection(u,v),powerset(w)),w)* member(f1(intersection(u,v),powerset(w)),v)*. % 299.97/300.37 22824[0:Res:3821.1,31.0] || -> equal(intersection(u,v),powerset(w)) subset(f1(intersection(u,v),powerset(w)),w)* member(f1(intersection(u,v),powerset(w)),u)*. % 299.97/300.37 22817[0:Res:3821.1,10964.0] || -> equal(complement(complement(u)),powerset(v)) subset(f1(complement(complement(u)),powerset(v)),v)* member(f1(complement(complement(u)),powerset(v)),u)*. % 299.97/300.37 22805[0:Res:3821.1,4578.0] || equal(u,f1(rotate_right(v),powerset(w)))* -> equal(rotate_right(v),powerset(w)) subset(f1(rotate_right(v),powerset(w)),w)* ordered_pair_predicate(u)*. % 299.97/300.37 22803[0:Res:3821.1,4549.0] || equal(u,f1(flip_range_of(v),powerset(w)))* -> equal(flip_range_of(v),powerset(w)) subset(f1(flip_range_of(v),powerset(w)),w)* ordered_pair_predicate(u)*. % 299.97/300.37 22926[0:Res:3839.1,282.0] || -> equal(powerset(u),restrict(v,w)) subset(f1(powerset(u),restrict(v,w)),u)* member(f1(powerset(u),restrict(v,w)),v)*. % 299.97/300.37 22924[0:Res:3839.1,15955.0] || -> equal(powerset(u),sigma(powerset(v))) subset(f1(powerset(u),sigma(powerset(v))),u)* member(f1(powerset(u),sigma(powerset(v))),v)*. % 299.97/300.37 22920[0:Res:3839.1,32.0] || -> equal(powerset(u),intersection(v,w)) subset(f1(powerset(u),intersection(v,w)),u)* member(f1(powerset(u),intersection(v,w)),w)*. % 299.97/300.37 22919[0:Res:3839.1,31.0] || -> equal(powerset(u),intersection(v,w)) subset(f1(powerset(u),intersection(v,w)),u)* member(f1(powerset(u),intersection(v,w)),v)*. % 299.97/300.37 22912[0:Res:3839.1,10964.0] || -> equal(powerset(u),complement(complement(v))) subset(f1(powerset(u),complement(complement(v))),u)* member(f1(powerset(u),complement(complement(v))),v)*. % 299.97/300.37 22900[0:Res:3839.1,4578.0] || equal(u,f1(powerset(v),rotate_right(w)))* -> equal(powerset(v),rotate_right(w)) subset(f1(powerset(v),rotate_right(w)),v)* ordered_pair_predicate(u)*. % 299.97/300.37 22898[0:Res:3839.1,4549.0] || equal(u,f1(powerset(v),flip_range_of(w)))* -> equal(powerset(v),flip_range_of(w)) subset(f1(powerset(v),flip_range_of(w)),v)* ordered_pair_predicate(u)*. % 299.97/300.37 23042[0:Rew:95.1,22998.2] || member(u,image(v,w)) subset(w,converse(intersection(x,y)))* -> member(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.37 23043[0:Rew:95.1,22997.2] || member(u,image(v,w)) subset(w,converse(intersection(x,y)))* -> member(ordered_pair(u,first(f22(u,v,w))),y)*. % 299.97/300.37 23134[0:Rew:119.1,23090.2] || member(u,apply(v,w)) subset(v,converse(intersection(x,y)))* -> member(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.37 23135[0:Rew:119.1,23089.2] || member(u,apply(v,w)) subset(v,converse(intersection(x,y)))* -> member(ordered_pair(second(f28(u,v,w)),w),y)*. % 299.97/300.37 23194[0:Res:1350.1,274.0] || member(u,image(v,intersection(restrict(w,x),y))) -> member(f22(u,v,intersection(restrict(w,x),y)),cross_product(x,universal_set))*. % 299.97/300.37 23185[0:Res:1350.1,547.0] || member(u,image(v,intersection(range_of(cross_product(w,x)),y))) -> member(f22(u,v,intersection(range_of(cross_product(w,x)),y)),x)*. % 299.97/300.37 23183[0:Res:1350.1,560.0] || member(u,image(v,intersection(domain_of(cross_product(w,x)),y))) -> member(f22(u,v,intersection(domain_of(cross_product(w,x)),y)),w)*. % 299.97/300.37 23279[0:Res:1351.1,274.0] || member(u,image(v,intersection(w,restrict(x,y)))) -> member(f22(u,v,intersection(w,restrict(x,y))),cross_product(y,universal_set))*. % 299.97/300.37 23270[0:Res:1351.1,547.0] || member(u,image(v,intersection(w,range_of(cross_product(x,y))))) -> member(f22(u,v,intersection(w,range_of(cross_product(x,y)))),y)*. % 299.97/300.37 23268[0:Res:1351.1,560.0] || member(u,image(v,intersection(w,domain_of(cross_product(x,y))))) -> member(f22(u,v,intersection(w,domain_of(cross_product(x,y)))),x)*. % 299.97/300.37 23364[0:Res:1285.1,274.0] || member(u,apply(intersection(restrict(v,w),x),y)) -> member(f28(u,intersection(restrict(v,w),x),y),cross_product(w,universal_set))*. % 299.97/300.37 23355[0:Res:1285.1,547.0] || member(u,apply(intersection(range_of(cross_product(v,w)),x),y)) -> member(f28(u,intersection(range_of(cross_product(v,w)),x),y),w)*. % 299.97/300.37 23353[0:Res:1285.1,560.0] || member(u,apply(intersection(domain_of(cross_product(v,w)),x),y)) -> member(f28(u,intersection(domain_of(cross_product(v,w)),x),y),v)*. % 299.97/300.37 23465[0:Res:1286.1,274.0] || member(u,apply(intersection(v,restrict(w,x)),y)) -> member(f28(u,intersection(v,restrict(w,x)),y),cross_product(x,universal_set))*. % 299.97/300.37 23456[0:Res:1286.1,547.0] || member(u,apply(intersection(v,range_of(cross_product(w,x))),y)) -> member(f28(u,intersection(v,range_of(cross_product(w,x))),y),x)*. % 299.97/300.37 23454[0:Res:1286.1,560.0] || member(u,apply(intersection(v,domain_of(cross_product(w,x))),y)) -> member(f28(u,intersection(v,domain_of(cross_product(w,x))),y),w)*. % 299.97/300.37 23977[0:SSi:23954.0,371.0] || member(u,converse(v))* disjoint(intersection(complement(w),complement(x)),v)* -> member(ordered_pair(second(u),first(u)),union(w,x))*. % 299.97/300.37 24296[0:Res:100.1,1163.0] || member(u,v) -> disjoint(w,converse(u)) member(ordered_pair(second(f23(w,converse(u))),first(f23(w,converse(u)))),sigma(v))*. % 299.97/300.37 24281[0:Res:99.1,1163.0] || member(u,v) -> disjoint(converse(u),w) member(ordered_pair(second(f23(converse(u),w)),first(f23(converse(u),w))),sigma(v))*. % 299.97/300.37 24279[0:Res:71.1,1163.0] || member(u,v) -> subset(converse(u),w) member(ordered_pair(second(f17(converse(u),w)),first(f17(converse(u),w))),sigma(v))*. % 299.97/300.37 24369[0:Rew:95.1,24326.2] || member(u,image(v,converse(w))) member(w,x) -> member(ordered_pair(u,first(f22(u,v,converse(w)))),sigma(x))*. % 299.97/300.37 24370[0:Rew:119.1,24310.2] || member(u,apply(converse(v),w)) member(v,x) -> member(ordered_pair(second(f28(u,converse(v),w)),w),sigma(x))*. % 299.97/300.37 24596[0:MRR:24594.0,106.1] || member(u,range_of(v)) equal(ordered_pair(u,first(f27(u,v))),w)* -> member(f27(u,v),converse(non_ordered_pair(x,w)))*. % 299.97/300.37 24597[0:MRR:24589.0,37.1] || member(u,domain_of(v)) equal(ordered_pair(second(f8(u,v)),u),w)* -> member(f8(u,v),converse(non_ordered_pair(x,w)))*. % 299.97/300.37 24650[0:MRR:24648.0,106.1] || member(u,range_of(v)) equal(ordered_pair(u,first(f27(u,v))),w)* -> member(f27(u,v),converse(non_ordered_pair(w,x)))*. % 299.97/300.37 24651[0:MRR:24643.0,37.1] || member(u,domain_of(v)) equal(ordered_pair(second(f8(u,v)),u),w)* -> member(f8(u,v),converse(non_ordered_pair(w,x)))*. % 299.97/300.37 24939[0:Res:67.1,1141.2] little_set(u) || member(non_ordered_pair(v,w),sigma(x)) equal(u,w) -> member(u,sigma(f16(non_ordered_pair(v,w),x)))*. % 299.97/300.37 24938[0:Res:21.1,1141.2] little_set(u) || member(non_ordered_pair(v,w),first(x)) equal(u,w) -> member(u,sigma(f4(non_ordered_pair(v,w),x)))*. % 299.97/300.37 24937[0:Res:26.1,1141.2] little_set(u) || member(non_ordered_pair(v,w),second(x)) equal(u,w) -> member(u,sigma(f7(non_ordered_pair(v,w),x)))*. % 299.97/300.37 24920[0:SpL:372.0,1141.2] little_set(u) || equal(u,ordered_pair(v,w))* member(ordered_pair(singleton_set(v),non_ordered_pair(v,w)),x)* -> member(u,sigma(x))*. % 299.97/300.37 24953[0:SSi:24935.0,11.0] little_set(u) || equal(u,v)* -> member(non_ordered_pair(w,v),union(x,y))* member(u,sigma(intersection(complement(x),complement(y))))*. % 299.97/300.37 24995[0:Res:67.1,1142.2] little_set(u) || member(non_ordered_pair(v,w),sigma(x)) equal(u,v) -> member(u,sigma(f16(non_ordered_pair(v,w),x)))*. % 299.97/300.37 24994[0:Res:21.1,1142.2] little_set(u) || member(non_ordered_pair(v,w),first(x)) equal(u,v) -> member(u,sigma(f4(non_ordered_pair(v,w),x)))*. % 299.97/300.37 24993[0:Res:26.1,1142.2] little_set(u) || member(non_ordered_pair(v,w),second(x)) equal(u,v) -> member(u,sigma(f7(non_ordered_pair(v,w),x)))*. % 299.97/300.37 25008[0:SSi:24991.0,11.0] little_set(u) || equal(u,v)* -> member(non_ordered_pair(v,w),union(x,y))* member(u,sigma(intersection(complement(x),complement(y))))*. % 299.97/300.37 25391[0:Res:1544.2,4238.0] || member(u,image(v,w)) subset(v,compose(x,y))* equal(z,first(f22(u,v,w)))* -> ordered_pair_predicate(z)*. % 299.97/300.37 25380[0:Res:1544.2,68.0] || member(u,image(v,w)) subset(v,x)* member(x,y)* -> member(first(f22(u,v,w)),sigma(y))*. % 299.97/300.37 25379[0:Res:1544.2,98.0] || member(u,image(v,w)) subset(v,x)* member(first(f22(u,v,w)),y)* disjoint(y,x)* -> . % 299.97/300.37 25512[0:MRR:25482.0,1275.1] || member(u,apply(v,w)) disjoint(intersection(complement(x),complement(y)),v) -> member(f28(u,v,w),union(x,y))*. % 299.97/300.37 25646[0:MRR:25616.0,1340.1] || member(u,image(v,w)) disjoint(intersection(complement(x),complement(y)),w) -> member(f22(u,v,w),union(x,y))*. % 299.97/300.37 25693[0:Res:1338.2,68.0] || member(u,image(v,w)) member(w,x)* member(sigma(x),y)* -> member(f22(u,v,w),sigma(y))*. % 299.97/300.37 25692[0:Res:1338.2,98.0] || member(u,image(v,w)) member(w,x)* member(f22(u,v,w),y)* disjoint(y,sigma(x))* -> . % 299.97/300.37 25733[0:Res:1273.2,68.0] || member(u,apply(v,w)) member(v,x)* member(sigma(x),y)* -> member(f28(u,v,w),sigma(y))*. % 299.97/300.37 25732[0:Res:1273.2,98.0] || member(u,apply(v,w)) member(v,x)* member(f28(u,v,w),y)* disjoint(y,sigma(x))* -> . % 299.97/300.37 25766[0:Res:1344.1,4578.0] || member(u,image(v,cross_product(rotate_right(w),x))) equal(y,first(f22(u,v,cross_product(rotate_right(w),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.37 25764[0:Res:1344.1,4549.0] || member(u,image(v,cross_product(flip_range_of(w),x))) equal(y,first(f22(u,v,cross_product(flip_range_of(w),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.37 25762[0:Res:1344.1,43.0] || member(u,image(v,cross_product(cross_product(w,x),y))) -> member(second(first(f22(u,v,cross_product(cross_product(w,x),y)))),x)*. % 299.97/300.37 25761[0:Res:1344.1,42.0] || member(u,image(v,cross_product(cross_product(w,x),y))) -> member(first(first(f22(u,v,cross_product(cross_product(w,x),y)))),w)*. % 299.97/300.37 25756[0:Res:1344.1,68.0] || member(u,image(v,cross_product(w,x))) member(w,y) -> member(first(f22(u,v,cross_product(w,x))),sigma(y))*. % 299.97/300.37 25755[0:Res:1344.1,98.0] || member(u,image(v,cross_product(w,x))) member(first(f22(u,v,cross_product(w,x))),y)* disjoint(y,w) -> . % 299.97/300.37 25903[0:Res:1555.1,4578.0] || member(u,image(intersection(rotate_right(v),w),x)) equal(y,first(f22(u,intersection(rotate_right(v),w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.37 25901[0:Res:1555.1,4549.0] || member(u,image(intersection(flip_range_of(v),w),x)) equal(y,first(f22(u,intersection(flip_range_of(v),w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.37 25899[0:Res:1555.1,43.0] || member(u,image(intersection(cross_product(v,w),x),y)) -> member(second(first(f22(u,intersection(cross_product(v,w),x),y))),w)*. % 299.97/300.37 25898[0:Res:1555.1,42.0] || member(u,image(intersection(cross_product(v,w),x),y)) -> member(first(first(f22(u,intersection(cross_product(v,w),x),y))),v)*. % 299.97/300.37 25893[0:Res:1555.1,68.0] || member(u,image(intersection(v,w),x)) member(v,y) -> member(first(f22(u,intersection(v,w),x)),sigma(y))*. % 299.97/300.37 25892[0:Res:1555.1,98.0] || member(u,image(intersection(v,w),x)) member(first(f22(u,intersection(v,w),x)),y)* disjoint(y,v) -> . % 299.97/300.37 26060[0:Res:1556.1,4578.0] || member(u,image(intersection(v,rotate_right(w)),x)) equal(y,first(f22(u,intersection(v,rotate_right(w)),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.37 26058[0:Res:1556.1,4549.0] || member(u,image(intersection(v,flip_range_of(w)),x)) equal(y,first(f22(u,intersection(v,flip_range_of(w)),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.37 26056[0:Res:1556.1,43.0] || member(u,image(intersection(v,cross_product(w,x)),y)) -> member(second(first(f22(u,intersection(v,cross_product(w,x)),y))),x)*. % 299.97/300.37 26055[0:Res:1556.1,42.0] || member(u,image(intersection(v,cross_product(w,x)),y)) -> member(first(first(f22(u,intersection(v,cross_product(w,x)),y))),w)*. % 299.97/300.37 26050[0:Res:1556.1,68.0] || member(u,image(intersection(v,w),x)) member(w,y) -> member(first(f22(u,intersection(v,w),x)),sigma(y))*. % 299.97/300.37 26049[0:Res:1556.1,98.0] || member(u,image(intersection(v,w),x)) member(first(f22(u,intersection(v,w),x)),y)* disjoint(y,w) -> . % 299.97/300.37 26130[0:Res:1280.1,4578.0] || member(u,apply(cross_product(v,rotate_right(w)),x)) equal(y,second(f28(u,cross_product(v,rotate_right(w)),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.37 26128[0:Res:1280.1,4549.0] || member(u,apply(cross_product(v,flip_range_of(w)),x)) equal(y,second(f28(u,cross_product(v,flip_range_of(w)),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.37 26126[0:Res:1280.1,43.0] || member(u,apply(cross_product(v,cross_product(w,x)),y)) -> member(second(second(f28(u,cross_product(v,cross_product(w,x)),y))),x)*. % 299.97/300.37 26125[0:Res:1280.1,42.0] || member(u,apply(cross_product(v,cross_product(w,x)),y)) -> member(first(second(f28(u,cross_product(v,cross_product(w,x)),y))),w)*. % 299.97/300.37 26120[0:Res:1280.1,68.0] || member(u,apply(cross_product(v,w),x)) member(w,y) -> member(second(f28(u,cross_product(v,w),x)),sigma(y))*. % 299.97/300.37 26119[0:Res:1280.1,98.0] || member(u,apply(cross_product(v,w),x)) member(second(f28(u,cross_product(v,w),x)),y)* disjoint(y,w) -> . % 299.97/300.37 26880[0:MRR:26855.0,1545.1] || equal(first(f22(u,v,w)),non_ordered_pair(x,y))* member(u,image(v,w)) disjoint(ordered_pair(x,y),v)* -> . % 299.97/300.37 26930[0:Res:1543.2,70.0] || member(u,image(v,w)) member(v,x)* subset(sigma(x),y)* -> member(first(f22(u,v,w)),y)*. % 299.97/300.37 27079[0:Res:1549.1,282.0] || member(u,image(cross_product(restrict(v,w),x),y)) -> member(first(first(f22(u,cross_product(restrict(v,w),x),y))),v)*. % 299.97/300.37 27077[0:Res:1549.1,15955.0] || member(u,image(cross_product(sigma(powerset(v)),w),x)) -> member(first(first(f22(u,cross_product(sigma(powerset(v)),w),x))),v)*. % 299.97/300.37 27073[0:Res:1549.1,32.0] || member(u,image(cross_product(intersection(v,w),x),y)) -> member(first(first(f22(u,cross_product(intersection(v,w),x),y))),w)*. % 299.97/300.37 27072[0:Res:1549.1,31.0] || member(u,image(cross_product(intersection(v,w),x),y)) -> member(first(first(f22(u,cross_product(intersection(v,w),x),y))),v)*. % 299.97/300.37 27065[0:Res:1549.1,10964.0] || member(u,image(cross_product(complement(complement(v)),w),x)) -> member(first(first(f22(u,cross_product(complement(complement(v)),w),x))),v)*. % 299.97/300.37 27042[0:Res:1549.1,70.0] || member(u,image(cross_product(v,w),x)) subset(v,y) -> member(first(first(f22(u,cross_product(v,w),x))),y)*. % 299.97/300.37 27224[0:Res:1550.1,282.0] || member(u,image(cross_product(v,restrict(w,x)),y)) -> member(second(first(f22(u,cross_product(v,restrict(w,x)),y))),w)*. % 299.97/300.37 27222[0:Res:1550.1,15955.0] || member(u,image(cross_product(v,sigma(powerset(w))),x)) -> member(second(first(f22(u,cross_product(v,sigma(powerset(w))),x))),w)*. % 299.97/300.37 27218[0:Res:1550.1,32.0] || member(u,image(cross_product(v,intersection(w,x)),y)) -> member(second(first(f22(u,cross_product(v,intersection(w,x)),y))),x)*. % 299.97/300.37 27217[0:Res:1550.1,31.0] || member(u,image(cross_product(v,intersection(w,x)),y)) -> member(second(first(f22(u,cross_product(v,intersection(w,x)),y))),w)*. % 299.97/300.37 27210[0:Res:1550.1,10964.0] || member(u,image(cross_product(v,complement(complement(w))),x)) -> member(second(first(f22(u,cross_product(v,complement(complement(w))),x))),w)*. % 299.97/300.37 27187[0:Res:1550.1,70.0] || member(u,image(cross_product(v,w),x)) subset(w,y) -> member(second(first(f22(u,cross_product(v,w),x))),y)*. % 299.97/300.37 28350[0:MRR:28322.0,5.0] || equal(f1(u,v),non_ordered_pair(w,x))* disjoint(ordered_pair(w,x),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.37 28450[7:Res:26830.1,3811.0] || disjoint(universal_set,complement(u)) -> equal(v,sigma(infinity)) member(f1(v,sigma(infinity)),v)* member(f1(v,sigma(infinity)),sigma(u))*. % 299.97/300.37 28449[7:Res:26831.1,3811.0] || disjoint(complement(u),universal_set) -> equal(v,sigma(infinity)) member(f1(v,sigma(infinity)),v)* member(f1(v,sigma(infinity)),sigma(u))*. % 299.97/300.37 28417[0:Res:1079.2,3811.0] little_set(u) || equal(u,v) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(singleton_set(v)))*. % 299.97/300.37 28416[0:Res:77.2,3811.0] little_set(u) || subset(u,v) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(powerset(v)))*. % 299.97/300.37 28725[0:MRR:28694.0,5.0] || equal(f1(u,v),non_ordered_pair(w,x))* disjoint(ordered_pair(w,x),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.37 28827[7:Res:26830.1,3829.0] || disjoint(universal_set,complement(u)) -> equal(sigma(infinity),v) member(f1(sigma(infinity),v),v)* member(f1(sigma(infinity),v),sigma(u))*. % 299.97/300.37 28826[7:Res:26831.1,3829.0] || disjoint(complement(u),universal_set) -> equal(sigma(infinity),v) member(f1(sigma(infinity),v),v)* member(f1(sigma(infinity),v),sigma(u))*. % 299.97/300.37 28794[0:Res:1079.2,3829.0] little_set(u) || equal(u,v) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(singleton_set(v)))*. % 299.97/300.37 28793[0:Res:77.2,3829.0] little_set(u) || subset(u,v) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(powerset(v)))*. % 299.97/300.37 29777[0:Res:100.1,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(x,f4(u,v)) member(f23(x,f4(u,v)),first(w))*. % 299.97/300.37 29755[0:Res:99.1,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(f4(u,v),x) member(f23(f4(u,v),x),first(w))*. % 299.97/300.37 29753[0:Res:71.1,5019.1] || member(u,first(v)) equal(w,v) -> subset(f4(u,v),x) member(f17(f4(u,v),x),first(w))*. % 299.97/300.37 30190[0:Res:100.1,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(x,f6(u,v)) member(f23(x,f6(u,v)),first(w))*. % 299.97/300.37 30168[0:Res:99.1,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(f6(u,v),x) member(f23(f6(u,v),x),first(w))*. % 299.97/300.37 30166[0:Res:71.1,5020.1] || member(u,second(v)) equal(w,v) -> subset(f6(u,v),x) member(f17(f6(u,v),x),first(w))*. % 299.97/300.37 30301[0:Res:100.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,f9(u,v)) member(f23(x,f9(u,v)),first(w))*. % 299.97/300.37 30279[0:Res:99.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(f9(u,v),x) member(f23(f9(u,v),x),first(w))*. % 299.97/300.37 30277[0:Res:71.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> subset(f9(u,v),x) member(f17(f9(u,v),x),first(w))*. % 299.97/300.37 30444[0:Res:100.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,f12(u,v)) member(f23(x,f12(u,v)),first(w))*. % 299.97/300.37 30422[0:Res:99.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(f12(u,v),x) member(f23(f12(u,v),x),first(w))*. % 299.97/300.37 30420[0:Res:71.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(f12(u,v),x) member(f17(f12(u,v),x),first(w))*. % 299.97/300.37 30597[0:Res:100.1,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(x,f5(u,v)) member(f23(x,f5(u,v)),second(w))*. % 299.97/300.37 30575[0:Res:99.1,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(f5(u,v),x) member(f23(f5(u,v),x),second(w))*. % 299.97/300.37 30573[0:Res:71.1,5064.1] || member(u,first(v)) equal(w,v) -> subset(f5(u,v),x) member(f17(f5(u,v),x),second(w))*. % 299.97/300.37 30754[0:Res:100.1,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(x,f7(u,v)) member(f23(x,f7(u,v)),second(w))*. % 299.97/300.37 30732[0:Res:99.1,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(f7(u,v),x) member(f23(f7(u,v),x),second(w))*. % 299.97/300.37 30730[0:Res:71.1,5065.1] || member(u,second(v)) equal(w,v) -> subset(f7(u,v),x) member(f17(f7(u,v),x),second(w))*. % 299.97/300.37 31024[0:Obv:30982.2] || member(u,v) disjoint(v,non_ordered_pair(u,w))* -> equal(f23(non_ordered_pair(u,w),x),w)** disjoint(non_ordered_pair(u,w),x). % 299.97/300.37 31025[0:Obv:30977.2] || member(u,v) disjoint(v,non_ordered_pair(w,u))* -> equal(f23(non_ordered_pair(w,u),x),w)** disjoint(non_ordered_pair(w,u),x). % 299.97/300.37 31029[0:Obv:30967.1] || member(non_ordered_pair(u,v),w)* -> equal(f23(non_ordered_pair(u,v),x),v)** disjoint(non_ordered_pair(u,v),x) member(u,sigma(w)). % 299.97/300.37 31033[0:Obv:30947.1] || member(non_ordered_pair(u,v),w)* -> equal(f23(non_ordered_pair(u,v),x),u)** disjoint(non_ordered_pair(u,v),x) member(v,sigma(w)). % 299.97/300.37 31161[0:Obv:31120.2] || member(u,v) disjoint(v,non_ordered_pair(u,w))* -> equal(f23(x,non_ordered_pair(u,w)),w)** disjoint(x,non_ordered_pair(u,w)). % 299.97/300.37 31162[0:Obv:31115.2] || member(u,v) disjoint(v,non_ordered_pair(w,u))* -> equal(f23(x,non_ordered_pair(w,u)),w)** disjoint(x,non_ordered_pair(w,u)). % 299.97/300.37 31165[0:Obv:31105.1] || member(non_ordered_pair(u,v),w)* -> equal(f23(x,non_ordered_pair(u,v)),v)** disjoint(x,non_ordered_pair(u,v)) member(u,sigma(w)). % 299.97/300.37 31169[0:Obv:31083.1] || member(non_ordered_pair(u,v),w)* -> equal(f23(x,non_ordered_pair(u,v)),u)** disjoint(x,non_ordered_pair(u,v)) member(v,sigma(w)). % 299.97/300.37 31175[0:Rew:1430.2,31174.0] || -> equal(u,v) disjoint(non_ordered_pair(u,w),non_ordered_pair(x,v)) equal(f23(non_ordered_pair(u,w),non_ordered_pair(x,v)),w)** equal(x,u). % 299.97/300.37 31177[0:Rew:1430.1,31176.0] || -> equal(u,v) disjoint(non_ordered_pair(w,u),non_ordered_pair(x,v)) equal(x,u) equal(f23(non_ordered_pair(w,u),non_ordered_pair(x,v)),w)**. % 299.97/300.37 31279[0:Obv:31251.2] || member(u,v) disjoint(v,non_ordered_pair(u,w))* -> equal(f17(non_ordered_pair(u,w),x),w)** subset(non_ordered_pair(u,w),x). % 299.97/300.37 31282[0:Obv:31245.2] || member(u,v) disjoint(v,non_ordered_pair(w,u))* -> equal(f17(non_ordered_pair(w,u),x),w)** subset(non_ordered_pair(w,u),x). % 299.97/300.37 31284[0:Obv:31240.1] || member(non_ordered_pair(u,v),w)* -> equal(f17(non_ordered_pair(u,v),x),v)** subset(non_ordered_pair(u,v),x) member(u,sigma(w)). % 299.97/300.37 31286[0:Obv:31228.1] || member(non_ordered_pair(u,v),w)* -> equal(f17(non_ordered_pair(u,v),x),u)** subset(non_ordered_pair(u,v),x) member(v,sigma(w)). % 299.97/300.37 31418[0:Res:3824.2,1444.0] || -> equal(u,intersection(singleton_set(v),w)) member(f1(u,intersection(singleton_set(v),w)),u)* equal(f1(u,intersection(singleton_set(v),w)),v). % 299.97/300.37 31417[0:Res:3824.2,76.0] || -> equal(u,intersection(powerset(v),w)) member(f1(u,intersection(powerset(v),w)),u)* subset(f1(u,intersection(powerset(v),w)),v)*. % 299.97/300.37 31360[0:Res:3824.1,1444.0] || -> equal(singleton_set(u),intersection(v,w)) member(f1(singleton_set(u),intersection(v,w)),v)* equal(f1(singleton_set(u),intersection(v,w)),u). % 299.97/300.37 31628[0:Res:3825.2,1444.0] || -> equal(u,intersection(v,singleton_set(w))) member(f1(u,intersection(v,singleton_set(w))),u)* equal(f1(u,intersection(v,singleton_set(w))),w). % 299.97/300.37 31627[0:Res:3825.2,76.0] || -> equal(u,intersection(v,powerset(w))) member(f1(u,intersection(v,powerset(w))),u)* subset(f1(u,intersection(v,powerset(w))),w)*. % 299.97/300.37 31570[0:Res:3825.1,1444.0] || -> equal(singleton_set(u),intersection(v,w)) member(f1(singleton_set(u),intersection(v,w)),w)* equal(f1(singleton_set(u),intersection(v,w)),u). % 299.97/300.37 31811[0:Res:3842.2,1444.0] || -> equal(intersection(singleton_set(u),v),w) member(f1(intersection(singleton_set(u),v),w),w)* equal(f1(intersection(singleton_set(u),v),w),u). % 299.97/300.37 31810[0:Res:3842.2,76.0] || -> equal(intersection(powerset(u),v),w) member(f1(intersection(powerset(u),v),w),w)* subset(f1(intersection(powerset(u),v),w),u)*. % 299.97/300.37 31753[0:Res:3842.1,1444.0] || -> equal(intersection(u,v),singleton_set(w)) member(f1(intersection(u,v),singleton_set(w)),u)* equal(f1(intersection(u,v),singleton_set(w)),w). % 299.97/300.37 31992[0:Res:3843.2,1444.0] || -> equal(intersection(u,singleton_set(v)),w) member(f1(intersection(u,singleton_set(v)),w),w)* equal(f1(intersection(u,singleton_set(v)),w),v). % 299.97/300.37 31991[0:Res:3843.2,76.0] || -> equal(intersection(u,powerset(v)),w) member(f1(intersection(u,powerset(v)),w),w)* subset(f1(intersection(u,powerset(v)),w),v)*. % 299.97/300.37 31934[0:Res:3843.1,1444.0] || -> equal(intersection(u,v),singleton_set(w)) member(f1(intersection(u,v),singleton_set(w)),v)* equal(f1(intersection(u,v),singleton_set(w)),w). % 299.97/300.37 32183[0:Res:1008.2,282.0] || member(u,range_of(v)) member(f27(u,v),converse(restrict(w,x)))* -> member(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.37 32181[0:Res:1008.2,15955.0] || member(u,range_of(v)) member(f27(u,v),converse(sigma(powerset(w)))) -> member(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.37 32177[0:Res:1008.2,32.0] || member(u,range_of(v)) member(f27(u,v),converse(intersection(w,x)))* -> member(ordered_pair(u,first(f27(u,v))),x)*. % 299.97/300.37 32176[0:Res:1008.2,31.0] || member(u,range_of(v)) member(f27(u,v),converse(intersection(w,x)))* -> member(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.37 32167[0:Res:1008.2,10964.0] || member(u,range_of(v)) member(f27(u,v),converse(complement(complement(w)))) -> member(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.37 32163[6:Res:1008.2,10857.1] || member(u,range_of(v)) member(f27(u,v),converse(infinity)) equal(successor(ordered_pair(u,first(f27(u,v)))),universal_set)** -> . % 299.97/300.37 32354[0:Res:1007.2,282.0] || member(u,domain_of(v)) member(f8(u,v),converse(restrict(w,x)))* -> member(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.37 32352[0:Res:1007.2,15955.0] || member(u,domain_of(v)) member(f8(u,v),converse(sigma(powerset(w)))) -> member(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.37 32348[0:Res:1007.2,32.0] || member(u,domain_of(v)) member(f8(u,v),converse(intersection(w,x)))* -> member(ordered_pair(second(f8(u,v)),u),x)*. % 299.97/300.37 32347[0:Res:1007.2,31.0] || member(u,domain_of(v)) member(f8(u,v),converse(intersection(w,x)))* -> member(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.37 32338[0:Res:1007.2,10964.0] || member(u,domain_of(v)) member(f8(u,v),converse(complement(complement(w)))) -> member(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.37 32334[6:Res:1007.2,10857.1] || member(u,domain_of(v)) member(f8(u,v),converse(infinity)) equal(successor(ordered_pair(second(f8(u,v)),u)),universal_set)** -> . % 299.97/300.37 32575[3:Res:14043.1,6198.3] || disjoint(u,cross_product(v,w))* member(second(x),w)* member(first(x),v)* member(x,intersection(y,u))* -> . % 299.97/300.37 32574[3:Res:14040.1,6198.3] || disjoint(u,cross_product(v,w))* member(second(x),w)* member(first(x),v)* member(x,intersection(u,y))* -> . % 299.97/300.37 32573[3:Res:17151.1,6198.3] || disjoint(u,cross_product(v,w))* member(second(x),w)* member(first(x),v)* member(x,restrict(u,y))* -> . % 299.97/300.37 32570[3:Res:13975.1,6198.3] || member(cross_product(u,v),w)* member(second(x),v)* member(first(x),u)* member(x,complement(sigma(w)))* -> . % 299.97/300.37 32811[6:Res:3836.2,10857.1] || equal(successor(second(f1(cross_product(u,infinity),v))),universal_set)** -> equal(cross_product(u,infinity),v) member(f1(cross_product(u,infinity),v),v)*. % 299.97/300.37 32976[6:Res:3835.2,10857.1] || equal(successor(first(f1(cross_product(infinity,u),v))),universal_set)** -> equal(cross_product(infinity,u),v) member(f1(cross_product(infinity,u),v),v)*. % 299.97/300.37 33147[6:Res:3818.2,10857.1] || equal(successor(second(f1(u,cross_product(v,infinity)))),universal_set)** -> equal(u,cross_product(v,infinity)) member(f1(u,cross_product(v,infinity)),u)*. % 299.97/300.37 33313[6:Res:3817.2,10857.1] || equal(successor(first(f1(u,cross_product(infinity,v)))),universal_set)** -> equal(u,cross_product(infinity,v)) member(f1(u,cross_product(infinity,v)),u)*. % 299.97/300.37 33378[7:Res:33376.1,3811.0] || member(universal_set,powerset(u)) -> equal(v,sigma(infinity)) member(f1(v,sigma(infinity)),v)* member(f1(v,sigma(infinity)),sigma(u))*. % 299.97/300.37 33377[7:Res:33376.1,3829.0] || member(universal_set,powerset(u)) -> equal(sigma(infinity),v) member(f1(sigma(infinity),v),v)* member(f1(sigma(infinity),v),sigma(u))*. % 299.97/300.37 33731[3:SSi:33713.0,371.0] little_set(u) single_valued_set(complement(v)) || member(w,complement(v)) -> member(ordered_pair(f2(w),u),v)* equal(u,f3(w)). % 299.97/300.37 34851[0:Obv:34844.1] || equal(f1(u,non_ordered_pair(v,w)),w) -> member(f1(u,non_ordered_pair(v,w)),non_ordered_pair(v,w))* equal(u,non_ordered_pair(v,w)). % 299.97/300.37 34920[0:Obv:34912.1] || equal(f1(u,non_ordered_pair(v,w)),v) -> member(f1(u,non_ordered_pair(v,w)),non_ordered_pair(v,w))* equal(u,non_ordered_pair(v,w)). % 299.97/300.37 35027[7:Res:26333.1,5025.1] || subset(universal_set,f29(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(sigma(infinity),first(x))*. % 299.97/300.37 35197[7:Res:26333.1,5066.1] || subset(universal_set,f30(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(sigma(infinity),second(x))*. % 299.97/300.37 35366[2:Res:4273.2,25810.0] || member(u,compose(v,w)) subset(w,image(x,cross_product(ordered_pair(f31(u,v,w),f30(u,v,w)),y)))* -> . % 299.97/300.37 35364[2:Res:4273.2,25950.0] || member(u,compose(v,w)) subset(w,image(restrict(ordered_pair(f31(u,v,w),f30(u,v,w)),x),y))* -> . % 299.97/300.37 35363[2:Res:4273.2,26103.0] || member(u,compose(v,w)) subset(w,image(intersection(x,ordered_pair(f31(u,v,w),f30(u,v,w))),y))* -> . % 299.97/300.37 35362[2:Res:4273.2,25946.0] || member(u,compose(v,w)) subset(w,image(intersection(ordered_pair(f31(u,v,w),f30(u,v,w)),x),y))* -> . % 299.97/300.37 35341[0:Res:4273.2,1444.0] || member(u,compose(v,w)) subset(w,singleton_set(x))* -> equal(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.37 35340[0:Res:4273.2,76.0] || member(u,compose(v,w)) subset(w,powerset(x)) -> subset(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.37 35486[2:Res:4348.2,25810.0] || member(u,compose(v,w)) subset(v,image(x,cross_product(ordered_pair(f29(u,v,w),f31(u,v,w)),y)))* -> . % 299.97/300.37 35484[2:Res:4348.2,25950.0] || member(u,compose(v,w)) subset(v,image(restrict(ordered_pair(f29(u,v,w),f31(u,v,w)),x),y))* -> . % 299.97/300.37 35483[2:Res:4348.2,26103.0] || member(u,compose(v,w)) subset(v,image(intersection(x,ordered_pair(f29(u,v,w),f31(u,v,w))),y))* -> . % 299.97/300.37 35482[2:Res:4348.2,25946.0] || member(u,compose(v,w)) subset(v,image(intersection(ordered_pair(f29(u,v,w),f31(u,v,w)),x),y))* -> . % 299.97/300.37 35461[0:Res:4348.2,1444.0] || member(u,compose(v,w)) subset(v,singleton_set(x))* -> equal(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.37 35460[0:Res:4348.2,76.0] || member(u,compose(v,w)) subset(v,powerset(x)) -> subset(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.37 36299[2:Res:13860.1,4458.3] ordered_pair_predicate(u) || disjoint(universal_set,cross_product(v,w))* member(second(u),w)* member(first(u),v)* -> member(u,x)*. % 299.97/300.37 36360[0:MRR:36336.0,487.1] little_set(u) || member(v,domain_of(w)) equal(u,v)* -> member(f8(v,w),x)* member(u,domain_of(complement(x)))*. % 299.97/300.37 36521[0:MRR:36497.0,420.1] little_set(u) || member(v,range_of(w)) equal(u,v)* -> member(f27(v,w),x)* member(u,range_of(complement(x)))*. % 299.97/300.37 36577[2:Res:4622.2,20934.0] || member(u,flip_range_of(v)) subset(v,range_of(cross_product(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)))* -> . % 299.97/300.37 37005[2:Res:4770.2,20934.0] || member(u,rotate_right(v)) subset(v,range_of(cross_product(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)))* -> . % 299.97/300.37 37755[0:Res:4272.2,15955.0] || member(u,compose(v,w)) member(w,powerset(x)) -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.37 38163[0:SSi:38143.0,371.0] || member(u,compose(v,w)) disjoint(complement(x),w) -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.37 38226[0:Res:4347.2,15955.0] || member(u,compose(v,w)) member(v,powerset(x)) -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.37 38282[0:SSi:38262.0,371.0] || member(u,compose(v,w)) disjoint(complement(x),v) -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.37 38396[0:MRR:38372.0,1275.1] || member(u,apply(v,w)) equal(w,x)* -> member(f28(u,v,w),y)* member(u,apply(complement(y),x))*. % 299.97/300.37 39069[3:Res:5054.3,20705.0] little_set(u) little_set(v) || member(complement(sigma(second(ordered_pair(v,u)))),u)* -> member(infinity,sigma(second(ordered_pair(v,u)))). % 299.97/300.37 39068[3:Res:5009.3,20705.0] little_set(u) little_set(v) || member(complement(sigma(first(ordered_pair(v,u)))),v)* -> member(infinity,sigma(first(ordered_pair(v,u)))). % 299.97/300.37 39067[3:Res:1103.2,20705.0] little_set(complement(sigma(ordered_pair(u,v)))) || equal(complement(sigma(ordered_pair(u,v))),singleton_set(u)) -> member(infinity,sigma(ordered_pair(u,v)))*. % 299.97/300.37 39062[3:Res:33.2,20705.0] || member(complement(sigma(intersection(u,v))),v)* member(complement(sigma(intersection(u,v))),u)* -> member(infinity,sigma(intersection(u,v))). % 299.97/300.37 40531[3:Res:62.1,6235.0] little_set(second(f17(u,cross_product(v,universal_set)))) || member(first(f17(u,cross_product(v,universal_set))),v)* -> subset(u,cross_product(v,universal_set)). % 299.97/300.37 40530[3:Res:5770.1,6235.0] ordered_pair_predicate(second(f17(u,cross_product(v,universal_set)))) || member(first(f17(u,cross_product(v,universal_set))),v)* -> subset(u,cross_product(v,universal_set)). % 299.97/300.37 40637[2:Res:25246.0,8.0] || -> equal(complement(non_ordered_pair(u,v)),universal_set) equal(f1(universal_set,complement(non_ordered_pair(u,v))),v)** equal(f1(universal_set,complement(non_ordered_pair(u,v))),u)**. % 299.97/300.37 40760[2:Res:1468.2,17597.0] || member(u,image(v,w)) member(f22(u,v,w),converse(image(ordered_pair(u,first(f22(u,v,w))),x)))* -> . % 299.97/300.37 40906[2:Res:1464.2,17597.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(image(ordered_pair(second(f28(u,v,w)),w),x)))* -> . % 299.97/300.37 42207[0:Obv:42200.1] little_set(u) || member(v,w)* member(x,apply(v,y))* equal(u,y)* -> member(u,domain_of(sigma(w)))*. % 299.97/300.37 42283[0:Obv:42275.1] little_set(u) || member(v,w)* member(x,image(y,v))* equal(u,x)* -> member(u,range_of(sigma(w)))*. % 299.97/300.37 43288[0:Obv:43281.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(u,converse(complement(w))) member(u,converse(intersection(v,w)))*. % 299.97/300.37 43544[0:Res:5356.4,1238.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* disjoint(rotate_right(x),universal_set) -> . % 299.97/300.37 43558[0:Obv:43528.0] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(u,v)),w)* -> member(ordered_pair(v,singleton_set(singleton_set(u))),rotate_right(w))*. % 299.97/300.37 43560[0:SSi:43527.2,43527.1,14.1,15.1] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(f2(u),ordered_pair(f3(u),v)),w)* -> member(ordered_pair(v,u),rotate_right(w)). % 299.97/300.37 43709[0:Res:6051.4,1238.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x)* disjoint(flip_range_of(x),universal_set) -> . % 299.97/300.37 43724[0:Rew:375.0,43723.2] little_set(u) little_set(v) || member(ordered_pair(v,singleton_set(singleton_set(u))),w) -> member(ordered_pair(v,singleton_set(singleton_set(u))),flip_range_of(w))*. % 299.97/300.37 43726[0:SSi:43692.2,43692.1,14.1,15.1] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(v,ordered_pair(f3(u),f2(u))),w)* -> member(ordered_pair(v,u),flip_range_of(w)). % 299.97/300.37 59599[16:Rew:375.0,55201.1] || member(u,image(powerset(cross_product(set_a,set_b)),v)) member(singleton_set(singleton_set(a)),first(f22(u,powerset(cross_product(set_a,set_b)),v)))* -> . % 299.97/300.37 55233[16:Rew:54986.0,49145.2] || equal(u,f1(cross_product(v,w),compose(x,y)))* -> equal(cross_product(v,w),compose(x,y)) member(a,v) ordered_pair_predicate(u)*. % 299.97/300.37 59600[16:Rew:54986.0,55712.2,54986.0,55712.1] ordered_pair_predicate(successor(estin)) || member(second(successor(a)),u) member(first(successor(a)),v) -> member(a,sigma(cross_product(v,u)))*. % 299.97/300.37 59601[16:Rew:54986.0,55768.2,54986.0,55768.1] || -> equal(ordered_pair(u,v),a) equal(f1(a,ordered_pair(u,v)),non_ordered_pair(u,v))** equal(f1(a,ordered_pair(u,v)),singleton_set(u)). % 299.97/300.37 59602[16:Rew:54986.0,55769.2,54986.0,55769.1] || -> equal(ordered_pair(u,v),a) equal(f1(ordered_pair(u,v),a),non_ordered_pair(u,v))** equal(f1(ordered_pair(u,v),a),singleton_set(u)). % 299.97/300.37 55975[16:Rew:54986.0,48953.2] little_set(u) || subset(u,converse(intersection(v,w)))* -> equal(u,a) member(ordered_pair(second(f26(u)),first(f26(u))),v)*. % 299.97/300.37 55976[16:Rew:54986.0,48951.2] little_set(u) || subset(u,converse(intersection(v,w)))* -> equal(u,a) member(ordered_pair(second(f26(u)),first(f26(u))),w)*. % 299.97/300.37 55977[16:Rew:54986.0,48941.3] little_set(u) || subset(u,second(f28(v,w,f26(u))))* member(v,apply(w,f26(u))) -> equal(u,a). % 299.97/300.37 55978[16:Rew:54986.0,48927.4] little_set(u) || member(f26(u),v) member(f26(u),w) disjoint(intersection(w,v),u)* -> equal(u,a). % 299.97/300.37 55979[16:Rew:54986.0,48926.3] little_set(u) || member(f26(u),apply(v,w)) disjoint(second(f28(f26(u),v,w)),u)* -> equal(u,a). % 299.97/300.37 55980[16:Rew:54986.0,48836.3] little_set(u) || disjoint(intersection(complement(v),complement(w)),f25) -> member(ordered_pair(u,f26(u)),union(v,w))* equal(u,a). % 299.97/300.37 55981[16:Rew:54986.0,48829.3] little_set(u) || member(f25,v) member(sigma(v),w)* -> equal(u,a) member(ordered_pair(u,f26(u)),sigma(w))*. % 299.97/300.37 55982[16:Rew:54986.0,48828.4] little_set(u) || member(f25,v) member(ordered_pair(u,f26(u)),w)* disjoint(w,sigma(v))* -> equal(u,a). % 299.97/300.37 55983[16:Rew:54986.0,48827.2] || subset(u,converse(v))* member(v,w)* -> equal(u,a) member(ordered_pair(second(f24(u)),first(f24(u))),sigma(w))*. % 299.97/300.37 56626[16:Rew:54986.0,49637.3] || subset(universal_set,f29(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(singleton_set(a),first(x))*. % 299.97/300.37 56630[16:Rew:54986.0,49641.3] || subset(universal_set,f30(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(singleton_set(a),second(x))*. % 299.97/300.37 56971[16:Rew:54986.0,50555.3] || subset(universal_set,f29(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(powerset(a),first(x))*. % 299.97/300.37 56975[16:Rew:54986.0,50559.3] || subset(universal_set,f30(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(powerset(a),second(x))*. % 299.97/300.37 59603[16:Rew:54986.0,56976.1] || member(u,flip_range_of(powerset(a))) -> equal(ordered_pair(f12(u,powerset(a)),ordered_pair(f14(u,powerset(a)),f13(u,powerset(a)))),a)**. % 299.97/300.37 59604[16:Rew:54986.0,56977.1] || member(u,rotate_right(powerset(a))) -> equal(ordered_pair(f10(u,powerset(a)),ordered_pair(f11(u,powerset(a)),f9(u,powerset(a)))),a)**. % 299.97/300.37 57007[16:Rew:54986.0,51387.2] || member(u,v) member(first(u),w) equal(f1(universal_set,a),second(u)) -> member(second(u),image(w,v))*. % 299.97/300.37 57215[16:Rew:54986.0,50660.2] || subset(f25,converse(u))* subset(u,v)* -> member(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),v)*. % 299.97/300.37 57216[16:Rew:54986.0,50659.2] || subset(universal_set,converse(u))* subset(u,v)* -> member(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),v)*. % 299.97/300.37 57257[16:Rew:54986.0,50696.3] || subset(f25,second(u))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(powerset(a),a),apply(v,w))*. % 299.97/300.37 57258[16:Rew:54986.0,50695.3] || subset(universal_set,second(u))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(powerset(a),a),apply(v,w))*. % 299.97/300.37 57259[16:Rew:54986.0,50726.3] || subset(f25,f4(u,v))* member(u,first(v)) equal(w,v)* -> member(ordered_pair(powerset(a),a),first(w))*. % 299.97/300.37 57260[16:Rew:54986.0,50725.3] || subset(universal_set,f4(u,v))* member(u,first(v)) equal(w,v)* -> member(ordered_pair(powerset(a),a),first(w))*. % 299.97/300.37 57261[16:Rew:54986.0,50724.3] || subset(f25,f6(u,v))* member(u,second(v)) equal(w,v)* -> member(ordered_pair(powerset(a),a),first(w))*. % 299.97/300.37 57262[16:Rew:54986.0,50723.3] || subset(universal_set,f6(u,v))* member(u,second(v)) equal(w,v)* -> member(ordered_pair(powerset(a),a),first(w))*. % 299.97/300.37 57263[16:Rew:54986.0,50722.3] || subset(f25,f9(u,v))* member(u,rotate_right(v)) equal(w,u)* -> member(ordered_pair(powerset(a),a),first(w))*. % 299.97/300.37 57264[16:Rew:54986.0,50721.3] || subset(universal_set,f9(u,v))* member(u,rotate_right(v)) equal(w,u)* -> member(ordered_pair(powerset(a),a),first(w))*. % 299.97/300.37 57265[16:Rew:54986.0,50720.3] || subset(f25,f12(u,v))* member(u,flip_range_of(v)) equal(w,u)* -> member(ordered_pair(powerset(a),a),first(w))*. % 299.97/300.37 57266[16:Rew:54986.0,50719.3] || subset(universal_set,f12(u,v))* member(u,flip_range_of(v)) equal(w,u)* -> member(ordered_pair(powerset(a),a),first(w))*. % 299.97/300.37 57271[16:Rew:54986.0,50734.3] || subset(f25,f5(u,v))* member(u,first(v)) equal(w,v)* -> member(ordered_pair(powerset(a),a),second(w))*. % 299.97/300.37 57272[16:Rew:54986.0,50733.3] || subset(universal_set,f5(u,v))* member(u,first(v)) equal(w,v)* -> member(ordered_pair(powerset(a),a),second(w))*. % 299.97/300.37 57273[16:Rew:54986.0,50732.3] || subset(f25,f7(u,v))* member(u,second(v)) equal(w,v)* -> member(ordered_pair(powerset(a),a),second(w))*. % 299.97/300.37 57274[16:Rew:54986.0,50731.3] || subset(universal_set,f7(u,v))* member(u,second(v)) equal(w,v)* -> member(ordered_pair(powerset(a),a),second(w))*. % 299.97/300.37 59605[16:Rew:54986.0,57383.2] || member(u,v) -> equal(converse(u),a) member(ordered_pair(second(f1(a,converse(u))),first(f1(a,converse(u)))),sigma(v))*. % 299.97/300.37 59606[16:Rew:54986.0,57384.2] || member(u,v) -> equal(converse(u),a) member(ordered_pair(second(f1(converse(u),a)),first(f1(converse(u),a))),sigma(v))*. % 299.97/300.37 58014[16:Rew:54986.0,50943.2] || equal(u,f1(cross_product(v,w),compose(x,y)))* -> equal(cross_product(v,w),compose(x,y)) member(a,w) ordered_pair_predicate(u)*. % 299.97/300.37 58029[16:Rew:54986.0,51545.2] || member(u,v)* equal(first(u),w)* -> member(a,sigma(complement(second(u))))* member(ordered_pair(universal_set,x),apply(v,w))*. % 299.97/300.37 58206[16:Rew:54986.0,50154.1] little_set(image(u,cross_product(v,w))) || -> equal(image(u,cross_product(v,w)),a) member(f26(image(u,cross_product(v,w))),w)*. % 299.97/300.37 58307[16:Rew:54986.0,50970.2] || subset(f25,u) -> equal(f26(non_ordered_pair(v,w)),w) equal(non_ordered_pair(v,w),a) member(ordered_pair(non_ordered_pair(v,w),v),u)*. % 299.97/300.37 58308[16:Rew:54986.0,50969.2] || subset(f25,u) -> equal(f26(non_ordered_pair(v,w)),v) equal(non_ordered_pair(v,w),a) member(ordered_pair(non_ordered_pair(v,w),w),u)*. % 299.97/300.37 58318[16:Rew:54986.0,51566.1] || member(u,v)* -> member(a,sigma(complement(converse(u))))* member(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),sigma(v))*. % 299.97/300.37 59607[16:Rew:54986.0,58342.3] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),a) member(f1(a,f7(u,v)),second(w))*. % 299.97/300.37 59608[16:Rew:54986.0,58343.3] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),a) member(f1(f7(u,v),a),second(w))*. % 299.97/300.37 58348[16:Rew:54986.0,51056.2] || member(u,first(v)) member(v,f25) -> equal(f4(u,v),a) equal(f26(f4(u,v)),f5(u,v))**. % 299.97/300.37 59609[16:Rew:54986.0,58349.3] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),a) member(f1(a,f4(u,v)),first(w))*. % 299.97/300.37 59610[16:Rew:54986.0,58350.3] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),a) member(f1(f4(u,v),a),first(w))*. % 299.97/300.37 58396[16:Rew:54986.0,51225.2] || member(u,apply(v,w)) member(u,f24(second(f28(u,v,w))))* -> equal(second(f28(u,v,w)),a). % 299.97/300.37 58399[16:Rew:54986.0,49726.2] || member(u,converse(v)) disjoint(singleton_set(ordered_pair(second(u),first(u))),v)* -> equal(singleton_set(ordered_pair(second(u),first(u))),a). % 299.97/300.37 58421[16:Rew:54986.0,50790.2] || equal(u,f1(compose(v,w),cross_product(x,y)))* -> equal(compose(v,w),cross_product(x,y)) member(a,x) ordered_pair_predicate(u)*. % 299.97/300.37 58425[16:Rew:54986.0,50861.3] ordered_pair_predicate(powerset(u)) || member(second(powerset(u)),v)* member(first(powerset(u)),w)* -> member(a,sigma(cross_product(w,v)))*. % 299.97/300.37 58465[16:Rew:54986.0,51245.2] || member(u,second(v)) member(v,f25) -> equal(f6(u,v),a) equal(f26(f6(u,v)),f7(u,v))**. % 299.97/300.37 59611[16:Rew:54986.0,58466.3] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),a) member(f1(a,f6(u,v)),first(w))*. % 299.97/300.37 59612[16:Rew:54986.0,58467.3] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),a) member(f1(f6(u,v),a),first(w))*. % 299.97/300.37 59613[16:Rew:54986.0,58471.3] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),a) member(f1(a,f9(u,v)),first(w))*. % 299.97/300.37 59614[16:Rew:54986.0,58472.3] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),a) member(f1(f9(u,v),a),first(w))*. % 299.97/300.37 59615[16:Rew:54986.0,58477.3] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),a) member(f1(a,f12(u,v)),first(w))*. % 299.97/300.37 59616[16:Rew:54986.0,58478.3] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),a) member(f1(f12(u,v),a),first(w))*. % 299.97/300.37 59617[16:Rew:54986.0,58481.3] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),a) member(f1(a,f5(u,v)),second(w))*. % 299.97/300.37 59618[16:Rew:54986.0,58482.3] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),a) member(f1(f5(u,v),a),second(w))*. % 299.97/300.37 58495[16:Rew:54986.0,49761.2] || member(f24(complement(intersection(u,v))),v)* member(f24(complement(intersection(u,v))),u)* -> equal(complement(intersection(u,v)),a). % 299.97/300.37 58496[16:Rew:54986.0,50180.0] || -> equal(cross_product(u,converse(v)),a) ordered_pair_predicate(ordered_pair(second(second(f24(cross_product(u,converse(v))))),first(second(f24(cross_product(u,converse(v)))))))*. % 299.97/300.37 58497[16:Rew:54986.0,50201.0] || -> equal(cross_product(converse(u),v),a) ordered_pair_predicate(ordered_pair(second(first(f24(cross_product(converse(u),v)))),first(first(f24(cross_product(converse(u),v))))))*. % 299.97/300.37 58498[16:Rew:54986.0,50914.1] || member(f24(intersection(u,intersection(complement(v),complement(w)))),union(v,w))* -> equal(intersection(u,intersection(complement(v),complement(w))),a). % 299.97/300.37 58499[16:Rew:54986.0,50915.1] || member(f24(intersection(intersection(complement(u),complement(v)),w)),union(u,v))* -> equal(intersection(intersection(complement(u),complement(v)),w),a). % 299.97/300.37 58506[16:Rew:54986.0,51018.0] || -> equal(converse(cross_product(u,v)),a) member(first(ordered_pair(second(f24(converse(cross_product(u,v)))),first(f24(converse(cross_product(u,v)))))),u)*. % 299.97/300.37 58507[16:Rew:54986.0,51014.0] || -> equal(converse(cross_product(u,v)),a) member(second(ordered_pair(second(f24(converse(cross_product(u,v)))),first(f24(converse(cross_product(u,v)))))),v)*. % 299.97/300.37 58508[16:Rew:54986.0,51125.3] little_set(u) little_set(v) || member(f24(complement(first(ordered_pair(v,u)))),v)* -> equal(complement(first(ordered_pair(v,u))),a). % 299.97/300.37 58509[16:Rew:54986.0,51137.2] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(f2(u),w),a) member(first(f24(cross_product(f2(u),w))),first(v))*. % 299.97/300.37 58510[16:Rew:54986.0,51138.2] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(w,f2(u)),a) member(second(f24(cross_product(w,f2(u)))),first(v))*. % 299.97/300.37 58511[16:Rew:54986.0,51144.3] little_set(u) little_set(v) || member(f24(complement(second(ordered_pair(v,u)))),u)* -> equal(complement(second(ordered_pair(v,u))),a). % 299.97/300.37 58512[16:Rew:54986.0,51151.2] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(f3(u),w),a) member(first(f24(cross_product(f3(u),w))),second(v))*. % 299.97/300.37 58513[16:Rew:54986.0,51152.2] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(w,f3(u)),a) member(second(f24(cross_product(w,f3(u)))),second(v))*. % 299.97/300.37 58514[16:Rew:54986.0,51246.1] || member(u,compose(v,f25)) -> equal(f31(u,v,f25),a) equal(f26(f31(u,v,f25)),f30(u,v,f25))**. % 299.97/300.37 58515[16:Rew:54986.0,51247.1] || member(u,compose(f25,v)) -> equal(f29(u,f25,v),a) equal(f26(f29(u,f25,v)),f31(u,f25,v))**. % 299.97/300.37 58516[16:Rew:54986.0,51248.1] || member(u,rotate_right(f25)) -> equal(f10(u,f25),a) equal(ordered_pair(f11(u,f25),f9(u,f25)),f26(f10(u,f25)))**. % 299.97/300.37 58517[16:Rew:54986.0,51249.1] || member(u,flip_range_of(f25)) -> equal(f12(u,f25),a) equal(ordered_pair(f14(u,f25),f13(u,f25)),f26(f12(u,f25)))**. % 299.97/300.37 58519[16:Rew:54986.0,51300.0] || equal(ordered_pair(u,first(f27(u,v))),a)** member(u,range_of(v)) -> member(f27(u,v),converse(ordered_pair(universal_set,w)))*. % 299.97/300.37 58521[16:Rew:54986.0,51303.0] || equal(ordered_pair(second(f8(u,v)),u),a)** member(u,domain_of(v)) -> member(f8(u,v),converse(ordered_pair(universal_set,w)))*. % 299.97/300.37 58522[16:Rew:54986.0,51305.3] || member(second(u),v) member(first(u),w) member(u,f24(cross_product(w,v)))* -> equal(cross_product(w,v),a). % 299.97/300.37 58523[16:Rew:54986.0,51309.2] || equal(u,f1(compose(v,w),cross_product(x,y)))* -> equal(compose(v,w),cross_product(x,y)) member(a,y) ordered_pair_predicate(u)*. % 299.97/300.37 58524[16:Rew:54986.0,51502.3] || -> equal(u,powerset(f25)) member(f1(u,powerset(f25)),u)* single_valued_set(f1(u,powerset(f25))) equal(f19(f1(u,powerset(f25))),a). % 299.97/300.37 58525[16:Rew:54986.0,51503.3] || -> equal(powerset(f25),u) member(f1(powerset(f25),u),u)* single_valued_set(f1(powerset(f25),u)) equal(f19(f1(powerset(f25),u)),a). % 299.97/300.37 58526[16:Rew:54986.0,51579.2] || member(u,second(v)) equal(w,v)* -> member(a,sigma(complement(f7(u,v))))* member(ordered_pair(universal_set,x),second(w))*. % 299.97/300.37 58527[16:Rew:54986.0,51580.2] || member(u,first(v)) equal(w,v)* -> member(a,sigma(complement(f5(u,v))))* member(ordered_pair(universal_set,x),second(w))*. % 299.97/300.37 58528[16:Rew:54986.0,51581.2] || member(u,flip_range_of(v)) equal(w,u)* -> member(a,sigma(complement(f12(u,v))))* member(ordered_pair(universal_set,x),first(w))*. % 299.97/300.37 58529[16:Rew:54986.0,51582.2] || member(u,rotate_right(v)) equal(w,u)* -> member(a,sigma(complement(f9(u,v))))* member(ordered_pair(universal_set,x),first(w))*. % 299.97/300.37 58530[16:Rew:54986.0,51583.2] || member(u,second(v)) equal(w,v)* -> member(a,sigma(complement(f6(u,v))))* member(ordered_pair(universal_set,x),first(w))*. % 299.97/300.37 58531[16:Rew:54986.0,51584.2] || member(u,first(v)) equal(w,v)* -> member(a,sigma(complement(f4(u,v))))* member(ordered_pair(universal_set,x),first(w))*. % 299.97/300.37 65580[0:MRR:65579.0,132.1] single_valued_set(u) || member(v,compose(u,w))* member(v,u) -> equal(f31(v,u,w),f30(v,u,w)). % 299.97/300.37 66353[0:SSi:66281.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,u),x)* -> member(ordered_pair(w,v),compose(x,universal_set))*. % 299.97/300.37 66365[3:MRR:66364.0,6160.1] little_set(u) || member(v,w) member(ordered_pair(u,f2(v)),x) -> member(ordered_pair(u,f3(v)),compose(x,w))*. % 299.97/300.37 66933[3:SSi:66908.0,371.0] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(v,compose(x,universal_set))*. % 299.97/300.37 67523[16:Res:378.3,58846.0] ordered_pair_predicate(successor(a)) || member(second(successor(a)),u) member(first(successor(a)),v) -> member(a,sigma(cross_product(v,u)))*. % 299.97/300.37 71177[0:SSi:71154.0,371.0,371.0] little_set(u) little_set(v) || member(w,compose(x,y))* equal(v,ordered_pair(u,w))* -> member(v,rotate_right(universal_set))*. % 299.97/300.37 71311[0:SSi:71284.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,compose(x,y))* equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(universal_set))*. % 299.97/300.37 82831[16:Res:82637.1,4972.2] little_set(u) || equal(f27(v,w),a) member(v,range_of(w))* equal(u,v)* -> member(u,range_of(set_b))*. % 299.97/300.37 82830[16:Res:82637.1,4926.2] little_set(u) || equal(f8(v,w),a) member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(set_b))*. % 299.97/300.37 82819[16:Res:82637.1,4346.1] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),a)** member(u,compose(v,w)) disjoint(set_b,v) -> . % 299.97/300.37 82818[16:Res:82637.1,4271.1] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),a)** member(u,compose(v,w)) disjoint(set_b,w) -> . % 299.97/300.37 82811[16:Res:82637.1,5125.1] || equal(f28(u,v,w),a) member(u,apply(v,w))* equal(w,x)* -> member(u,apply(set_b,x))*. % 299.97/300.37 82984[3:Res:82638.1,4972.2] little_set(u) || equal(f27(v,w),a) member(v,range_of(w))* equal(u,v)* -> member(u,range_of(set_a))*. % 299.97/300.37 82983[3:Res:82638.1,4926.2] little_set(u) || equal(f8(v,w),a) member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(set_a))*. % 299.97/300.37 82972[3:Res:82638.1,4346.1] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),a)** member(u,compose(v,w)) disjoint(set_a,v) -> . % 299.97/300.37 82971[3:Res:82638.1,4271.1] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),a)** member(u,compose(v,w)) disjoint(set_a,w) -> . % 299.97/300.37 82964[3:Res:82638.1,5125.1] || equal(f28(u,v,w),a) member(u,apply(v,w))* equal(w,x)* -> member(u,apply(set_a,x))*. % 299.97/300.37 83139[16:Res:82641.1,4972.2] little_set(u) || equal(f27(v,w),a) member(v,range_of(w))* equal(u,v)* -> member(u,range_of(infinity))*. % 299.97/300.37 83138[16:Res:82641.1,4926.2] little_set(u) || equal(f8(v,w),a) member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(infinity))*. % 299.97/300.37 83127[16:Res:82641.1,4346.1] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),a)** member(u,compose(v,w)) disjoint(infinity,v) -> . % 299.97/300.37 83126[16:Res:82641.1,4271.1] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),a)** member(u,compose(v,w)) disjoint(infinity,w) -> . % 299.97/300.37 83119[16:Res:82641.1,5125.1] || equal(f28(u,v,w),a) member(u,apply(v,w))* equal(w,x)* -> member(u,apply(infinity,x))*. % 299.97/300.37 83596[16:MRR:59704.0,83558.0] || -> equal(u,f1(a,powerset(v))) member(f1(u,f1(a,powerset(v))),u)* member(f1(u,f1(a,powerset(v))),v)*. % 299.97/300.37 83597[16:MRR:59705.0,83558.0] || -> equal(u,f1(powerset(v),a)) member(f1(u,f1(powerset(v),a)),u)* member(f1(u,f1(powerset(v),a)),v)*. % 299.97/300.37 83598[16:MRR:59706.0,83558.0] || -> equal(f1(a,powerset(u)),v) member(f1(f1(a,powerset(u)),v),v)* member(f1(f1(a,powerset(u)),v),u)*. % 299.97/300.37 83599[16:MRR:59707.0,83558.0] || -> equal(f1(powerset(u),a),v) member(f1(f1(powerset(u),a),v),v)* member(f1(f1(powerset(u),a),v),u)*. % 299.97/300.37 83765[16:Res:83585.1,3812.0] little_set(u) || -> equal(v,f26(powerset(u))) member(f1(v,f26(powerset(u))),v)* member(f1(v,f26(powerset(u))),u)*. % 299.97/300.37 83764[16:Res:83585.1,3830.0] little_set(u) || -> equal(f26(powerset(u)),v) member(f1(f26(powerset(u)),v),v)* member(f1(f26(powerset(u)),v),u)*. % 299.97/300.37 84017[16:Res:1556.1,83606.1] || member(u,image(intersection(v,f24(powerset(w))),x)) subset(first(f22(u,intersection(v,f24(powerset(w))),x)),w)* -> . % 299.97/300.37 84016[16:Res:1344.1,83606.1] || member(u,image(v,cross_product(f24(powerset(w)),x))) subset(first(f22(u,v,cross_product(f24(powerset(w)),x))),w)* -> . % 299.97/300.37 84013[16:Res:1555.1,83606.1] || member(u,image(intersection(f24(powerset(v)),w),x)) subset(first(f22(u,intersection(f24(powerset(v)),w),x)),v)* -> . % 299.97/300.37 83996[16:Res:288.1,83606.1] || subset(ordered_pair(f19(intersection(f24(powerset(u)),v)),f20(intersection(f24(powerset(u)),v))),u)* -> single_valued_set(intersection(f24(powerset(u)),v)). % 299.97/300.37 83995[16:Res:287.1,83606.1] || subset(ordered_pair(f19(intersection(f24(powerset(u)),v)),f21(intersection(f24(powerset(u)),v))),u)* -> single_valued_set(intersection(f24(powerset(u)),v)). % 299.97/300.37 83985[16:Res:280.1,83606.1] || subset(ordered_pair(f19(intersection(u,f24(powerset(v)))),f20(intersection(u,f24(powerset(v))))),v)* -> single_valued_set(intersection(u,f24(powerset(v)))). % 299.97/300.37 83984[16:Res:279.1,83606.1] || subset(ordered_pair(f19(intersection(u,f24(powerset(v)))),f21(intersection(u,f24(powerset(v))))),v)* -> single_valued_set(intersection(u,f24(powerset(v)))). % 299.97/300.37 83951[16:Res:1280.1,83606.1] || member(u,apply(cross_product(v,f24(powerset(w))),x)) subset(second(f28(u,cross_product(v,f24(powerset(w))),x)),w)* -> . % 299.97/300.37 84207[2:Res:1556.1,25433.0] || member(u,image(intersection(v,image(w,x)),y)) subset(w,first(f22(u,intersection(v,image(w,x)),y)))* -> . % 299.97/300.37 84206[2:Res:1344.1,25433.0] || member(u,image(v,cross_product(image(w,x),y))) subset(w,first(f22(u,v,cross_product(image(w,x),y))))* -> . % 299.97/300.37 84203[2:Res:1555.1,25433.0] || member(u,image(intersection(image(v,w),x),y)) subset(v,first(f22(u,intersection(image(v,w),x),y)))* -> . % 299.97/300.37 84186[2:Res:288.1,25433.0] || subset(u,ordered_pair(f19(intersection(image(u,v),w)),f20(intersection(image(u,v),w))))* -> single_valued_set(intersection(image(u,v),w)). % 299.97/300.37 84185[2:Res:287.1,25433.0] || subset(u,ordered_pair(f19(intersection(image(u,v),w)),f21(intersection(image(u,v),w))))* -> single_valued_set(intersection(image(u,v),w)). % 299.97/300.37 84175[2:Res:280.1,25433.0] || subset(u,ordered_pair(f19(intersection(v,image(u,w))),f20(intersection(v,image(u,w)))))* -> single_valued_set(intersection(v,image(u,w))). % 299.97/300.37 84174[2:Res:279.1,25433.0] || subset(u,ordered_pair(f19(intersection(v,image(u,w))),f21(intersection(v,image(u,w)))))* -> single_valued_set(intersection(v,image(u,w))). % 299.97/300.37 84141[2:Res:1280.1,25433.0] || member(u,apply(cross_product(v,image(w,x)),y)) subset(w,second(f28(u,cross_product(v,image(w,x)),y)))* -> . % 299.97/300.37 88010[16:Rew:87905.1,87808.2] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** member(a,v) -> member(u,converse(intersection(v,successor(a))))*. % 299.97/300.37 88011[16:Rew:87905.1,87654.2] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** member(a,v) -> member(u,converse(intersection(v,sigma(infinity))))*. % 299.97/300.37 88135[3:Res:82671.1,1227.1] || equal(ordered_pair(second(u),first(u)),infinity) member(u,converse(v)) disjoint(singleton_set(ordered_pair(second(u),first(u))),v)* -> . % 299.97/300.37 88912[16:Res:10.2,57904.0] little_set(complement(sigma(non_ordered_pair(u,v)))) || equal(complement(sigma(non_ordered_pair(u,v))),v)** -> equal(complement(sigma(non_ordered_pair(u,v))),a). % 299.97/300.37 88911[16:Res:9.2,57904.0] little_set(complement(sigma(non_ordered_pair(u,v)))) || equal(complement(sigma(non_ordered_pair(u,v))),u)** -> equal(complement(sigma(non_ordered_pair(u,v))),a). % 299.97/300.37 89294[0:Res:1351.1,14370.1] || member(u,image(v,intersection(w,converse(complement(x))))) member(f22(u,v,intersection(w,converse(complement(x)))),converse(x))* -> . % 299.97/300.37 89239[0:Res:1286.1,14370.1] || member(u,apply(intersection(v,converse(complement(w))),x)) member(f28(u,intersection(v,converse(complement(w))),x),converse(w))* -> . % 299.97/300.37 89227[0:Res:1350.1,14370.1] || member(u,image(v,intersection(converse(complement(w)),x))) member(f22(u,v,intersection(converse(complement(w)),x)),converse(w))* -> . % 299.97/300.37 89202[0:Res:1285.1,14370.1] || member(u,apply(intersection(converse(complement(v)),w),x)) member(f28(u,intersection(converse(complement(v)),w),x),converse(v))* -> . % 299.97/300.37 89519[0:Res:557.1,43745.1] || member(u,range_of(cross_product(flip_range_of(complement(flip_range_of(v))),w))) member(first(f27(u,cross_product(flip_range_of(complement(flip_range_of(v))),w))),v)* -> . % 299.97/300.37 89518[0:Res:558.1,43745.1] || member(u,sigma(cross_product(flip_range_of(complement(flip_range_of(v))),w))) member(first(f16(u,cross_product(flip_range_of(complement(flip_range_of(v))),w))),v)* -> . % 299.97/300.37 89456[0:Res:545.1,43745.1] || member(u,sigma(cross_product(v,flip_range_of(complement(flip_range_of(w)))))) member(second(f16(u,cross_product(v,flip_range_of(complement(flip_range_of(w)))))),w)* -> . % 299.97/300.37 89455[0:Res:546.1,43745.1] || member(u,domain_of(cross_product(v,flip_range_of(complement(flip_range_of(w)))))) member(second(f8(u,cross_product(v,flip_range_of(complement(flip_range_of(w)))))),w)* -> . % 299.97/300.37 91490[3:SSi:91489.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(sigma(universal_set)) || member(ordered_pair(w,v),universal_set)* -> equal(v,u)*. % 299.97/300.37 92694[0:Res:557.1,19261.0] || member(u,range_of(cross_product(sigma(intersection(v,w)),x))) -> member(first(f27(u,cross_product(sigma(intersection(v,w)),x))),sigma(v))*. % 299.97/300.37 92693[0:Res:558.1,19261.0] || member(u,sigma(cross_product(sigma(intersection(v,w)),x))) -> member(first(f16(u,cross_product(sigma(intersection(v,w)),x))),sigma(v))*. % 299.97/300.37 92632[0:Res:545.1,19261.0] || member(u,sigma(cross_product(v,sigma(intersection(w,x))))) -> member(second(f16(u,cross_product(v,sigma(intersection(w,x))))),sigma(w))*. % 299.97/300.37 92631[0:Res:546.1,19261.0] || member(u,domain_of(cross_product(v,sigma(intersection(w,x))))) -> member(second(f8(u,cross_product(v,sigma(intersection(w,x))))),sigma(w))*. % 299.97/300.37 92896[0:Res:557.1,19263.0] || member(u,range_of(cross_product(sigma(intersection(v,w)),x))) -> member(first(f27(u,cross_product(sigma(intersection(v,w)),x))),sigma(w))*. % 299.97/300.37 92895[0:Res:558.1,19263.0] || member(u,sigma(cross_product(sigma(intersection(v,w)),x))) -> member(first(f16(u,cross_product(sigma(intersection(v,w)),x))),sigma(w))*. % 299.97/300.37 92834[0:Res:545.1,19263.0] || member(u,sigma(cross_product(v,sigma(intersection(w,x))))) -> member(second(f16(u,cross_product(v,sigma(intersection(w,x))))),sigma(x))*. % 299.97/300.37 92833[0:Res:546.1,19263.0] || member(u,domain_of(cross_product(v,sigma(intersection(w,x))))) -> member(second(f8(u,cross_product(v,sigma(intersection(w,x))))),sigma(x))*. % 299.97/300.37 93031[16:Res:1278.1,56181.0] || member(u,apply(powerset(v),w)) disjoint(v,f28(u,powerset(v),w))* -> equal(f28(u,powerset(v),w),a). % 299.97/300.37 93018[16:Res:1343.1,56181.0] || member(u,image(v,powerset(w))) disjoint(w,f22(u,v,powerset(w)))* -> equal(f22(u,v,powerset(w)),a). % 299.97/300.37 93009[16:Res:234.1,56181.0] || disjoint(u,ordered_pair(f19(powerset(u)),f20(powerset(u))))* -> single_valued_set(powerset(u)) equal(ordered_pair(f19(powerset(u)),f20(powerset(u))),a). % 299.97/300.37 93008[16:Res:225.1,56181.0] || disjoint(u,ordered_pair(f19(powerset(u)),f21(powerset(u))))* -> single_valued_set(powerset(u)) equal(ordered_pair(f19(powerset(u)),f21(powerset(u))),a). % 299.97/300.37 94219[16:Res:57719.1,314.0] || member(f24(restrict(intersection(complement(u),complement(v)),w)),union(u,v))* -> equal(restrict(intersection(complement(u),complement(v)),w),a). % 299.97/300.37 94902[16:Res:91681.1,1438.0] || equal(complement(sigma(non_ordered_pair(u,v))),a) -> equal(f16(infinity,non_ordered_pair(u,v)),v)** equal(f16(infinity,non_ordered_pair(u,v)),u)**. % 299.97/300.37 94901[16:Res:91681.1,5066.1] || equal(complement(f30(u,v,w)),a)** member(u,compose(v,w)) equal(x,u)* -> member(infinity,second(x))*. % 299.97/300.37 94900[16:Res:91681.1,5025.1] || equal(complement(f29(u,v,w)),a)** member(u,compose(v,w)) equal(x,u)* -> member(infinity,first(x))*. % 299.97/300.37 94865[16:Res:91681.1,1437.0] || equal(complement(range_of(non_ordered_pair(u,v))),a) -> equal(f27(infinity,non_ordered_pair(u,v)),v)** equal(f27(infinity,non_ordered_pair(u,v)),u)**. % 299.97/300.37 94862[16:Res:91681.1,1439.0] || equal(complement(domain_of(non_ordered_pair(u,v))),a) -> equal(f8(infinity,non_ordered_pair(u,v)),v)** equal(f8(infinity,non_ordered_pair(u,v)),u)**. % 299.97/300.37 94855[16:Res:91681.1,1441.0] || equal(complement(converse(non_ordered_pair(u,v))),a)** -> equal(ordered_pair(second(infinity),first(infinity)),v)* equal(ordered_pair(second(infinity),first(infinity)),u)*. % 299.97/300.37 95432[16:Res:92031.1,1438.0] || equal(complement(sigma(non_ordered_pair(u,v))),a) -> equal(f16(a,non_ordered_pair(u,v)),v)** equal(f16(a,non_ordered_pair(u,v)),u)**. % 299.97/300.37 95431[16:Res:92031.1,5066.1] || equal(complement(f30(u,v,w)),a)** member(u,compose(v,w)) equal(x,u)* -> member(a,second(x))*. % 299.97/300.37 95430[16:Res:92031.1,5025.1] || equal(complement(f29(u,v,w)),a)** member(u,compose(v,w)) equal(x,u)* -> member(a,first(x))*. % 299.97/300.37 95393[16:Res:92031.1,1437.0] || equal(complement(range_of(non_ordered_pair(u,v))),a) -> equal(f27(a,non_ordered_pair(u,v)),v)** equal(f27(a,non_ordered_pair(u,v)),u)**. % 299.97/300.37 95390[16:Res:92031.1,1439.0] || equal(complement(domain_of(non_ordered_pair(u,v))),a) -> equal(f8(a,non_ordered_pair(u,v)),v)** equal(f8(a,non_ordered_pair(u,v)),u)**. % 299.97/300.37 95383[16:Res:92031.1,1441.0] || equal(complement(converse(non_ordered_pair(u,v))),a)** -> equal(ordered_pair(second(a),first(a)),v)* equal(ordered_pair(second(a),first(a)),u)*. % 299.97/300.37 96149[0:SpL:2390.1,1421.0] || member(u,v)* -> single_valued_set(singleton_set(v)) equal(u,non_ordered_pair(f19(singleton_set(v)),f21(singleton_set(v))))* equal(u,singleton_set(f19(singleton_set(v)))). % 299.97/300.37 96450[16:Res:6051.4,92502.1] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x)* equal(flip_range_of(x),a) -> . % 299.97/300.37 96449[16:Res:5356.4,92502.1] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* equal(rotate_right(x),a) -> . % 299.97/300.37 96795[0:SpL:2405.1,1421.0] || member(u,v)* -> single_valued_set(singleton_set(v)) equal(u,non_ordered_pair(f19(singleton_set(v)),f20(singleton_set(v))))* equal(u,singleton_set(f19(singleton_set(v)))). % 299.97/300.37 96991[0:Res:21407.1,1137.1] ordered_pair_predicate(complement(u)) little_set(v) || -> member(v,u) member(v,sigma(converse(powerset(ordered_pair(second(complement(u)),first(complement(u)))))))*. % 299.97/300.37 97092[3:MRR:96996.0,6237.1] || disjoint(converse(powerset(ordered_pair(second(f1(u,v)),first(f1(u,v))))),v)* -> equal(u,v) member(f1(u,v),u). % 299.97/300.37 97093[3:MRR:96995.0,6237.1] || disjoint(converse(powerset(ordered_pair(second(f1(u,v)),first(f1(u,v))))),u)* -> equal(u,v) member(f1(u,v),v). % 299.97/300.37 97098[16:SSi:97014.0,5742.0,371.1] little_set(u) || disjoint(converse(powerset(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))))),f25)* -> equal(u,a). % 299.97/300.37 97758[0:Res:1544.2,2899.0] || member(u,image(v,w)) subset(v,domain_of(singleton_set(x))) -> equal(f8(first(f22(u,v,w)),singleton_set(x)),x)**. % 299.97/300.37 97746[0:Res:557.1,2899.0] || member(u,range_of(cross_product(domain_of(singleton_set(v)),w))) -> equal(f8(first(f27(u,cross_product(domain_of(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.37 97745[0:Res:558.1,2899.0] || member(u,sigma(cross_product(domain_of(singleton_set(v)),w))) -> equal(f8(first(f16(u,cross_product(domain_of(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.37 97684[0:Res:545.1,2899.0] || member(u,sigma(cross_product(v,domain_of(singleton_set(w))))) -> equal(f8(second(f16(u,cross_product(v,domain_of(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.37 97683[0:Res:546.1,2899.0] || member(u,domain_of(cross_product(v,domain_of(singleton_set(w))))) -> equal(f8(second(f8(u,cross_product(v,domain_of(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.37 97665[0:Res:6.1,2899.0] || -> equal(u,domain_of(singleton_set(v))) member(f1(u,domain_of(singleton_set(v))),u)* equal(f8(f1(u,domain_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.37 97619[0:Res:6.2,2899.0] || -> equal(domain_of(singleton_set(u)),v) member(f1(domain_of(singleton_set(u)),v),v)* equal(f8(f1(domain_of(singleton_set(u)),v),singleton_set(u)),u)**. % 299.97/300.37 97995[0:Res:1544.2,2938.0] || member(u,image(v,w)) subset(v,sigma(singleton_set(x))) -> equal(f16(first(f22(u,v,w)),singleton_set(x)),x)**. % 299.97/300.37 97959[0:Res:557.1,2938.0] || member(u,range_of(cross_product(sigma(singleton_set(v)),w))) -> equal(f16(first(f27(u,cross_product(sigma(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.37 97958[0:Res:558.1,2938.0] || member(u,sigma(cross_product(sigma(singleton_set(v)),w))) -> equal(f16(first(f16(u,cross_product(sigma(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.37 97897[0:Res:545.1,2938.0] || member(u,sigma(cross_product(v,sigma(singleton_set(w))))) -> equal(f16(second(f16(u,cross_product(v,sigma(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.37 97896[0:Res:546.1,2938.0] || member(u,domain_of(cross_product(v,sigma(singleton_set(w))))) -> equal(f16(second(f8(u,cross_product(v,sigma(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.37 97878[0:Res:6.1,2938.0] || -> equal(u,sigma(singleton_set(v))) member(f1(u,sigma(singleton_set(v))),u)* equal(f16(f1(u,sigma(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.37 97832[0:Res:6.2,2938.0] || -> equal(sigma(singleton_set(u)),v) member(f1(sigma(singleton_set(u)),v),v)* equal(f16(f1(sigma(singleton_set(u)),v),singleton_set(u)),u)**. % 299.97/300.37 98214[0:Res:1544.2,2959.0] || member(u,image(v,w)) subset(v,range_of(singleton_set(x))) -> equal(f27(first(f22(u,v,w)),singleton_set(x)),x)**. % 299.97/300.37 98202[0:Res:557.1,2959.0] || member(u,range_of(cross_product(range_of(singleton_set(v)),w))) -> equal(f27(first(f27(u,cross_product(range_of(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.37 98201[0:Res:558.1,2959.0] || member(u,sigma(cross_product(range_of(singleton_set(v)),w))) -> equal(f27(first(f16(u,cross_product(range_of(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.37 98140[0:Res:545.1,2959.0] || member(u,sigma(cross_product(v,range_of(singleton_set(w))))) -> equal(f27(second(f16(u,cross_product(v,range_of(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.37 98139[0:Res:546.1,2959.0] || member(u,domain_of(cross_product(v,range_of(singleton_set(w))))) -> equal(f27(second(f8(u,cross_product(v,range_of(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.37 98121[0:Res:6.1,2959.0] || -> equal(u,range_of(singleton_set(v))) member(f1(u,range_of(singleton_set(v))),u)* equal(f27(f1(u,range_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.37 98075[0:Res:6.2,2959.0] || -> equal(range_of(singleton_set(u)),v) member(f1(range_of(singleton_set(u)),v),v)* equal(f27(f1(range_of(singleton_set(u)),v),singleton_set(u)),u)**. % 299.97/300.37 98443[0:Res:8090.0,5063.1] ordered_pair_predicate(u) || equal(v,u) -> subset(complement(complement(f3(u))),w) member(f17(complement(complement(f3(u))),w),second(v))*. % 299.97/300.37 98442[0:Res:8090.0,5018.1] ordered_pair_predicate(u) || equal(v,u) -> subset(complement(complement(f2(u))),w) member(f17(complement(complement(f2(u))),w),first(v))*. % 299.97/300.37 98393[3:Res:8090.0,6176.0] || -> subset(complement(complement(converse(u))),v) ordered_pair_predicate(ordered_pair(second(f17(complement(complement(converse(u))),v)),first(f17(complement(complement(converse(u))),v))))*. % 299.97/300.37 98559[0:Res:9082.0,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,complement(complement(f3(u)))) member(f23(w,complement(complement(f3(u)))),second(v))*. % 299.97/300.37 98558[0:Res:9082.0,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,complement(complement(f2(u)))) member(f23(w,complement(complement(f2(u)))),first(v))*. % 299.97/300.37 98509[3:Res:9082.0,6176.0] || -> disjoint(u,complement(complement(converse(v)))) ordered_pair_predicate(ordered_pair(second(f23(u,complement(complement(converse(v))))),first(f23(u,complement(complement(converse(v)))))))*. % 299.97/300.37 98749[0:Res:9151.0,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(complement(complement(f3(u))),w) member(f23(complement(complement(f3(u))),w),second(v))*. % 299.97/300.37 98748[0:Res:9151.0,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(complement(complement(f2(u))),w) member(f23(complement(complement(f2(u))),w),first(v))*. % 299.97/300.37 98699[3:Res:9151.0,6176.0] || -> disjoint(complement(complement(converse(u))),v) ordered_pair_predicate(ordered_pair(second(f23(complement(complement(converse(u))),v)),first(f23(complement(complement(converse(u))),v))))*. % 299.97/300.37 99345[0:Res:18201.1,1136.2] ordered_pair_predicate(powerset(u)) little_set(v) || subset(v,u)* -> member(powerset(u),converse(w))* member(v,sigma(converse(complement(w))))*. % 299.97/300.37 99344[0:Res:18201.1,1140.1] ordered_pair_predicate(f4(u,v)) || member(u,first(v)) -> member(f4(u,v),converse(w))* member(u,sigma(converse(complement(w)))). % 299.97/300.37 99343[0:Res:18201.1,1139.1] ordered_pair_predicate(f7(u,v)) || member(u,second(v)) -> member(f7(u,v),converse(w))* member(u,sigma(converse(complement(w)))). % 299.97/300.37 99311[16:Res:18201.1,57904.0] ordered_pair_predicate(complement(sigma(converse(complement(u))))) || -> member(complement(sigma(converse(complement(u)))),converse(u))* equal(complement(sigma(converse(complement(u)))),a). % 299.97/300.37 99483[3:SSi:99370.0,5742.0,371.1] || member(u,domain_of(v)) -> member(ordered_pair(second(f8(u,v)),u),converse(w))* member(f8(u,v),converse(converse(complement(w)))). % 299.97/300.37 99484[3:SSi:99369.0,5742.0,371.1] || member(u,range_of(v)) -> member(ordered_pair(u,first(f27(u,v))),converse(w))* member(f27(u,v),converse(converse(complement(w)))). % 299.97/300.37 99698[0:Res:22366.2,1142.2] ordered_pair_predicate(u) little_set(v) || member(non_ordered_pair(w,x),f2(u))* equal(v,w)* -> member(v,sigma(first(u)))*. % 299.97/300.37 99697[0:Res:22366.2,1141.2] ordered_pair_predicate(u) little_set(v) || member(non_ordered_pair(w,x),f2(u))* equal(v,x)* -> member(v,sigma(first(u)))*. % 299.97/300.37 99696[0:Res:22366.2,1272.1] ordered_pair_predicate(u) || member(f28(v,w,x),f2(u))* member(v,apply(w,x)) disjoint(first(u),w) -> . % 299.97/300.37 99694[0:Res:22366.2,1337.1] ordered_pair_predicate(u) || member(f22(v,w,x),f2(u))* member(v,image(w,x)) disjoint(first(u),x) -> . % 299.97/300.37 99691[0:Res:22366.2,1554.1] ordered_pair_predicate(u) || member(first(f22(v,complement(first(u)),w)),f2(u))* member(v,image(complement(first(u)),w)) -> . % 299.97/300.37 99688[16:Res:22366.2,56081.1] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(v,f26(v)),f2(u))* disjoint(first(u),f25) -> equal(v,a). % 299.97/300.37 99680[0:Res:22366.2,1227.1] ordered_pair_predicate(u) || member(ordered_pair(second(v),first(v)),f2(u))* member(v,converse(w))* disjoint(first(u),w)* -> . % 299.97/300.37 99634[0:Res:22366.2,7.0] ordered_pair_predicate(u) || member(f1(v,first(u)),f2(u))* member(f1(v,first(u)),v)* -> equal(v,first(u)). % 299.97/300.37 99895[0:Res:22612.2,1142.2] ordered_pair_predicate(u) little_set(v) || member(non_ordered_pair(w,x),f3(u))* equal(v,w)* -> member(v,sigma(second(u)))*. % 299.97/300.37 99894[0:Res:22612.2,1141.2] ordered_pair_predicate(u) little_set(v) || member(non_ordered_pair(w,x),f3(u))* equal(v,x)* -> member(v,sigma(second(u)))*. % 299.97/300.37 99893[0:Res:22612.2,1272.1] ordered_pair_predicate(u) || member(f28(v,w,x),f3(u))* member(v,apply(w,x)) disjoint(second(u),w) -> . % 299.97/300.37 99891[0:Res:22612.2,1337.1] ordered_pair_predicate(u) || member(f22(v,w,x),f3(u))* member(v,image(w,x)) disjoint(second(u),x) -> . % 299.97/300.37 99886[0:Res:22612.2,1554.1] ordered_pair_predicate(u) || member(first(f22(v,complement(second(u)),w)),f3(u))* member(v,image(complement(second(u)),w)) -> . % 299.97/300.37 99882[16:Res:22612.2,56081.1] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(v,f26(v)),f3(u))* disjoint(second(u),f25) -> equal(v,a). % 299.97/300.37 99874[0:Res:22612.2,1227.1] ordered_pair_predicate(u) || member(ordered_pair(second(v),first(v)),f3(u))* member(v,converse(w))* disjoint(second(u),w)* -> . % 299.97/300.37 99828[0:Res:22612.2,7.0] ordered_pair_predicate(u) || member(f1(v,second(u)),f3(u))* member(f1(v,second(u)),v)* -> equal(v,second(u)). % 299.97/300.37 100037[16:Res:59019.2,1421.0] || subset(u,ordered_pair(v,w))* -> equal(u,a) equal(f1(u,a),non_ordered_pair(v,w)) equal(f1(u,a),singleton_set(v)). % 299.97/300.37 100004[16:Res:59019.2,1014.0] || subset(u,converse(cross_product(v,w)))* -> equal(u,a) member(first(ordered_pair(second(f1(u,a)),first(f1(u,a)))),v)*. % 299.97/300.37 100003[16:Res:59019.2,1015.0] || subset(u,converse(cross_product(v,w)))* -> equal(u,a) member(second(ordered_pair(second(f1(u,a)),first(f1(u,a)))),w)*. % 299.97/300.37 100431[16:Res:1013.1,56166.0] || member(u,converse(powerset(singleton_set(v))))* -> equal(ordered_pair(second(u),first(u)),a) equal(f24(ordered_pair(second(u),first(u))),v)*. % 299.97/300.37 100429[16:Res:490.1,56166.0] || member(u,domain_of(powerset(singleton_set(v)))) -> equal(f8(u,powerset(singleton_set(v))),a) equal(f24(f8(u,powerset(singleton_set(v)))),v)**. % 299.97/300.37 100427[16:Res:423.1,56166.0] || member(u,range_of(powerset(singleton_set(v)))) -> equal(f27(u,powerset(singleton_set(v))),a) equal(f24(f27(u,powerset(singleton_set(v)))),v)**. % 299.97/300.37 100650[16:Res:59021.2,1421.0] || subset(u,ordered_pair(v,w))* -> equal(a,u) equal(f1(a,u),non_ordered_pair(v,w)) equal(f1(a,u),singleton_set(v)). % 299.97/300.37 100617[16:Res:59021.2,1014.0] || subset(u,converse(cross_product(v,w)))* -> equal(a,u) member(first(ordered_pair(second(f1(a,u)),first(f1(a,u)))),v)*. % 299.97/300.37 100616[16:Res:59021.2,1015.0] || subset(u,converse(cross_product(v,w)))* -> equal(a,u) member(second(ordered_pair(second(f1(a,u)),first(f1(a,u)))),w)*. % 299.97/300.37 100822[16:Res:59048.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(f3(u),w),a) member(f1(intersection(f3(u),w),a),second(v))*. % 299.97/300.37 100821[16:Res:59048.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(f2(u),w),a) member(f1(intersection(f2(u),w),a),first(v))*. % 299.97/300.37 100772[16:Res:59048.1,6176.0] || -> equal(intersection(converse(u),v),a) ordered_pair_predicate(ordered_pair(second(f1(intersection(converse(u),v),a)),first(f1(intersection(converse(u),v),a))))*. % 299.97/300.37 100939[16:Res:59049.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,f3(u)),a) member(f1(intersection(w,f3(u)),a),second(v))*. % 299.97/300.37 100938[16:Res:59049.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,f2(u)),a) member(f1(intersection(w,f2(u)),a),first(v))*. % 299.97/300.37 100889[16:Res:59049.1,6176.0] || -> equal(intersection(u,converse(v)),a) ordered_pair_predicate(ordered_pair(second(f1(intersection(u,converse(v)),a)),first(f1(intersection(u,converse(v)),a))))*. % 299.97/300.37 101040[16:Res:59050.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(f3(u),w),a) member(f1(a,intersection(f3(u),w)),second(v))*. % 299.97/300.37 101039[16:Res:59050.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(f2(u),w),a) member(f1(a,intersection(f2(u),w)),first(v))*. % 299.97/300.37 100990[16:Res:59050.1,6176.0] || -> equal(intersection(converse(u),v),a) ordered_pair_predicate(ordered_pair(second(f1(a,intersection(converse(u),v))),first(f1(a,intersection(converse(u),v)))))*. % 299.97/300.37 101179[16:Res:59051.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,f3(u)),a) member(f1(a,intersection(w,f3(u))),second(v))*. % 299.97/300.37 101178[16:Res:59051.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,f2(u)),a) member(f1(a,intersection(w,f2(u))),first(v))*. % 299.97/300.37 101129[16:Res:59051.1,6176.0] || -> equal(intersection(u,converse(v)),a) ordered_pair_predicate(ordered_pair(second(f1(a,intersection(u,converse(v)))),first(f1(a,intersection(u,converse(v))))))*. % 299.97/300.37 101373[16:Res:59052.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(restrict(f3(u),w),a) member(f1(restrict(f3(u),w),a),second(v))*. % 299.97/300.37 101372[16:Res:59052.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(restrict(f2(u),w),a) member(f1(restrict(f2(u),w),a),first(v))*. % 299.97/300.37 101323[16:Res:59052.1,6176.0] || -> equal(restrict(converse(u),v),a) ordered_pair_predicate(ordered_pair(second(f1(restrict(converse(u),v),a)),first(f1(restrict(converse(u),v),a))))*. % 299.97/300.37 101632[16:Res:59053.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(restrict(f3(u),w),a) member(f1(a,restrict(f3(u),w)),second(v))*. % 299.97/300.37 101631[16:Res:59053.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(restrict(f2(u),w),a) member(f1(a,restrict(f2(u),w)),first(v))*. % 299.97/300.37 101583[16:Res:59053.1,6176.0] || -> equal(restrict(converse(u),v),a) ordered_pair_predicate(ordered_pair(second(f1(a,restrict(converse(u),v))),first(f1(a,restrict(converse(u),v)))))*. % 299.97/300.37 101711[16:Res:57867.1,1009.0] || disjoint(complement(converse(u)),v)* subset(u,w)* -> equal(v,a) member(ordered_pair(second(f24(v)),first(f24(v))),w)*. % 299.97/300.37 101910[0:Res:3813.2,5063.1] ordered_pair_predicate(u) || disjoint(v,universal_set) equal(w,u) -> equal(f3(u),v) member(f1(f3(u),v),second(w))*. % 299.97/300.37 101909[0:Res:3813.2,5018.1] ordered_pair_predicate(u) || disjoint(v,universal_set) equal(w,u) -> equal(f2(u),v) member(f1(f2(u),v),first(w))*. % 299.97/300.37 102043[0:Res:3831.2,5063.1] ordered_pair_predicate(u) || disjoint(v,universal_set) equal(w,u) -> equal(v,f3(u)) member(f1(v,f3(u)),second(w))*. % 299.97/300.37 102042[0:Res:3831.2,5018.1] ordered_pair_predicate(u) || disjoint(v,universal_set) equal(w,u) -> equal(v,f2(u)) member(f1(v,f2(u)),first(w))*. % 299.97/300.37 102181[3:SoR:6200.0,13294.1] || member(f23(cross_product(u,v),w),x) -> member(second(f23(cross_product(u,v),w)),range_of(x))* disjoint(cross_product(u,v),w). % 299.97/300.37 102298[3:SoR:6200.0,13337.1] || member(f23(u,cross_product(v,w)),x) -> member(second(f23(u,cross_product(v,w))),range_of(x))* disjoint(u,cross_product(v,w)). % 299.97/300.37 102455[3:SoR:6199.0,13411.1] || member(f23(cross_product(u,v),w),x) -> member(first(f23(cross_product(u,v),w)),domain_of(x))* disjoint(cross_product(u,v),w). % 299.97/300.37 102736[3:SoR:6199.0,13489.1] || member(f23(u,cross_product(v,w)),x) -> member(first(f23(u,cross_product(v,w))),domain_of(x))* disjoint(u,cross_product(v,w)). % 299.97/300.37 102844[3:SoR:6200.0,13630.1] || member(f17(cross_product(u,v),w),x) -> member(second(f17(cross_product(u,v),w)),range_of(x))* subset(cross_product(u,v),w). % 299.97/300.37 102977[3:SoR:6199.0,13693.1] || member(f17(cross_product(u,v),w),x) -> member(first(f17(cross_product(u,v),w)),domain_of(x))* subset(cross_product(u,v),w). % 299.97/300.37 103683[0:Res:1544.2,16184.0] || member(u,image(v,w)) subset(v,domain_of(intersection(cross_product(x,y),z)))* -> member(first(f22(u,v,w)),x)*. % 299.97/300.37 103665[16:Res:55152.1,16184.0] || -> equal(cross_product(domain_of(intersection(cross_product(u,v),w)),x),a) member(first(f24(cross_product(domain_of(intersection(cross_product(u,v),w)),x))),u)*. % 299.97/300.37 103619[0:Res:281.1,16184.0] || -> disjoint(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))) member(f23(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))),w)*. % 299.97/300.37 103613[0:Res:93.1,16184.0] || member(u,image(v,domain_of(intersection(cross_product(w,x),y)))) -> member(f22(u,v,domain_of(intersection(cross_product(w,x),y))),w)*. % 299.97/300.37 103599[16:Res:55151.1,16184.0] || -> equal(cross_product(u,domain_of(intersection(cross_product(v,w),x))),a) member(second(f24(cross_product(u,domain_of(intersection(cross_product(v,w),x))))),v)*. % 299.97/300.37 103593[16:Res:59051.1,16184.0] || -> equal(intersection(u,domain_of(intersection(cross_product(v,w),x))),a) member(f1(a,intersection(u,domain_of(intersection(cross_product(v,w),x)))),v)*. % 299.97/300.37 103592[16:Res:59049.1,16184.0] || -> equal(intersection(u,domain_of(intersection(cross_product(v,w),x))),a) member(f1(intersection(u,domain_of(intersection(cross_product(v,w),x))),a),v)*. % 299.97/300.37 103590[0:Res:3813.2,16184.0] || disjoint(u,universal_set) -> equal(domain_of(intersection(cross_product(v,w),x)),u) member(f1(domain_of(intersection(cross_product(v,w),x)),u),v)*. % 299.97/300.37 103584[0:Res:3831.2,16184.0] || disjoint(u,universal_set) -> equal(u,domain_of(intersection(cross_product(v,w),x))) member(f1(u,domain_of(intersection(cross_product(v,w),x))),v)*. % 299.97/300.37 103582[0:Res:118.1,16184.0] || member(u,apply(domain_of(intersection(cross_product(v,w),x)),y)) -> member(f28(u,domain_of(intersection(cross_product(v,w),x)),y),v)*. % 299.97/300.37 103575[0:Res:278.1,16184.0] || -> subset(intersection(u,domain_of(intersection(cross_product(v,w),x))),y) member(f17(intersection(u,domain_of(intersection(cross_product(v,w),x))),y),v)*. % 299.97/300.37 103572[0:Res:277.1,16184.0] || -> disjoint(intersection(u,domain_of(intersection(cross_product(v,w),x))),y) member(f23(intersection(u,domain_of(intersection(cross_product(v,w),x))),y),v)*. % 299.97/300.37 103570[0:Res:289.1,16184.0] || -> disjoint(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)) member(f23(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)),v)*. % 299.97/300.37 103568[0:Res:9082.0,16184.0] || -> disjoint(u,complement(complement(domain_of(intersection(cross_product(v,w),x))))) member(f23(u,complement(complement(domain_of(intersection(cross_product(v,w),x))))),v)*. % 299.97/300.37 103547[16:Res:59052.1,16184.0] || -> equal(restrict(domain_of(intersection(cross_product(u,v),w)),x),a) member(f1(restrict(domain_of(intersection(cross_product(u,v),w)),x),a),u)*. % 299.97/300.37 103546[16:Res:59053.1,16184.0] || -> equal(restrict(domain_of(intersection(cross_product(u,v),w)),x),a) member(f1(a,restrict(domain_of(intersection(cross_product(u,v),w)),x)),u)*. % 299.97/300.37 103545[16:Res:59050.1,16184.0] || -> equal(intersection(domain_of(intersection(cross_product(u,v),w)),x),a) member(f1(a,intersection(domain_of(intersection(cross_product(u,v),w)),x)),u)*. % 299.97/300.37 103542[16:Res:59048.1,16184.0] || -> equal(intersection(domain_of(intersection(cross_product(u,v),w)),x),a) member(f1(intersection(domain_of(intersection(cross_product(u,v),w)),x),a),u)*. % 299.97/300.37 103529[0:Res:285.1,16184.0] || -> disjoint(intersection(domain_of(intersection(cross_product(u,v),w)),x),y) member(f23(intersection(domain_of(intersection(cross_product(u,v),w)),x),y),u)*. % 299.97/300.37 103528[0:Res:9151.0,16184.0] || -> disjoint(complement(complement(domain_of(intersection(cross_product(u,v),w)))),x) member(f23(complement(complement(domain_of(intersection(cross_product(u,v),w)))),x),u)*. % 299.97/300.37 103526[0:Res:286.1,16184.0] || -> subset(intersection(domain_of(intersection(cross_product(u,v),w)),x),y) member(f17(intersection(domain_of(intersection(cross_product(u,v),w)),x),y),u)*. % 299.97/300.37 103525[0:Res:8090.0,16184.0] || -> subset(complement(complement(domain_of(intersection(cross_product(u,v),w)))),x) member(f17(complement(complement(domain_of(intersection(cross_product(u,v),w)))),x),u)*. % 299.97/300.37 103925[0:Res:1544.2,16416.0] || member(u,image(v,w)) subset(v,domain_of(intersection(x,cross_product(y,z))))* -> member(first(f22(u,v,w)),y)*. % 299.97/300.37 103907[16:Res:55152.1,16416.0] || -> equal(cross_product(domain_of(intersection(u,cross_product(v,w))),x),a) member(first(f24(cross_product(domain_of(intersection(u,cross_product(v,w))),x))),v)*. % 299.97/300.37 103861[0:Res:281.1,16416.0] || -> disjoint(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))) member(f23(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))),x)*. % 299.97/300.37 103855[0:Res:93.1,16416.0] || member(u,image(v,domain_of(intersection(w,cross_product(x,y))))) -> member(f22(u,v,domain_of(intersection(w,cross_product(x,y)))),x)*. % 299.97/300.37 103841[16:Res:55151.1,16416.0] || -> equal(cross_product(u,domain_of(intersection(v,cross_product(w,x)))),a) member(second(f24(cross_product(u,domain_of(intersection(v,cross_product(w,x)))))),w)*. % 299.97/300.37 103835[16:Res:59051.1,16416.0] || -> equal(intersection(u,domain_of(intersection(v,cross_product(w,x)))),a) member(f1(a,intersection(u,domain_of(intersection(v,cross_product(w,x))))),w)*. % 299.97/300.37 103834[16:Res:59049.1,16416.0] || -> equal(intersection(u,domain_of(intersection(v,cross_product(w,x)))),a) member(f1(intersection(u,domain_of(intersection(v,cross_product(w,x)))),a),w)*. % 299.97/300.37 103832[0:Res:3813.2,16416.0] || disjoint(u,universal_set) -> equal(domain_of(intersection(v,cross_product(w,x))),u) member(f1(domain_of(intersection(v,cross_product(w,x))),u),w)*. % 299.97/300.37 103826[0:Res:3831.2,16416.0] || disjoint(u,universal_set) -> equal(u,domain_of(intersection(v,cross_product(w,x)))) member(f1(u,domain_of(intersection(v,cross_product(w,x)))),w)*. % 299.97/300.37 103824[0:Res:118.1,16416.0] || member(u,apply(domain_of(intersection(v,cross_product(w,x))),y)) -> member(f28(u,domain_of(intersection(v,cross_product(w,x))),y),w)*. % 299.97/300.37 103817[0:Res:278.1,16416.0] || -> subset(intersection(u,domain_of(intersection(v,cross_product(w,x)))),y) member(f17(intersection(u,domain_of(intersection(v,cross_product(w,x)))),y),w)*. % 299.97/300.37 103814[0:Res:277.1,16416.0] || -> disjoint(intersection(u,domain_of(intersection(v,cross_product(w,x)))),y) member(f23(intersection(u,domain_of(intersection(v,cross_product(w,x)))),y),w)*. % 299.97/300.37 103812[0:Res:289.1,16416.0] || -> disjoint(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)) member(f23(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)),w)*. % 299.97/300.37 103810[0:Res:9082.0,16416.0] || -> disjoint(u,complement(complement(domain_of(intersection(v,cross_product(w,x)))))) member(f23(u,complement(complement(domain_of(intersection(v,cross_product(w,x)))))),w)*. % 299.97/300.37 103789[16:Res:59052.1,16416.0] || -> equal(restrict(domain_of(intersection(u,cross_product(v,w))),x),a) member(f1(restrict(domain_of(intersection(u,cross_product(v,w))),x),a),v)*. % 299.97/300.37 103788[16:Res:59053.1,16416.0] || -> equal(restrict(domain_of(intersection(u,cross_product(v,w))),x),a) member(f1(a,restrict(domain_of(intersection(u,cross_product(v,w))),x)),v)*. % 299.97/300.37 103787[16:Res:59050.1,16416.0] || -> equal(intersection(domain_of(intersection(u,cross_product(v,w))),x),a) member(f1(a,intersection(domain_of(intersection(u,cross_product(v,w))),x)),v)*. % 299.97/300.37 103784[16:Res:59048.1,16416.0] || -> equal(intersection(domain_of(intersection(u,cross_product(v,w))),x),a) member(f1(intersection(domain_of(intersection(u,cross_product(v,w))),x),a),v)*. % 299.97/300.37 103771[0:Res:285.1,16416.0] || -> disjoint(intersection(domain_of(intersection(u,cross_product(v,w))),x),y) member(f23(intersection(domain_of(intersection(u,cross_product(v,w))),x),y),v)*. % 299.97/300.37 103770[0:Res:9151.0,16416.0] || -> disjoint(complement(complement(domain_of(intersection(u,cross_product(v,w))))),x) member(f23(complement(complement(domain_of(intersection(u,cross_product(v,w))))),x),v)*. % 299.97/300.37 103768[0:Res:286.1,16416.0] || -> subset(intersection(domain_of(intersection(u,cross_product(v,w))),x),y) member(f17(intersection(domain_of(intersection(u,cross_product(v,w))),x),y),v)*. % 299.97/300.37 103767[0:Res:8090.0,16416.0] || -> subset(complement(complement(domain_of(intersection(u,cross_product(v,w))))),x) member(f17(complement(complement(domain_of(intersection(u,cross_product(v,w))))),x),v)*. % 299.97/300.37 104170[0:Res:1544.2,17439.0] || member(u,image(v,w)) subset(v,range_of(intersection(cross_product(x,y),z)))* -> member(first(f22(u,v,w)),y)*. % 299.97/300.37 104152[16:Res:55152.1,17439.0] || -> equal(cross_product(range_of(intersection(cross_product(u,v),w)),x),a) member(first(f24(cross_product(range_of(intersection(cross_product(u,v),w)),x))),v)*. % 299.97/300.37 104106[0:Res:281.1,17439.0] || -> disjoint(u,intersection(v,range_of(intersection(cross_product(w,x),y)))) member(f23(u,intersection(v,range_of(intersection(cross_product(w,x),y)))),x)*. % 299.97/300.37 104100[0:Res:93.1,17439.0] || member(u,image(v,range_of(intersection(cross_product(w,x),y)))) -> member(f22(u,v,range_of(intersection(cross_product(w,x),y))),x)*. % 299.97/300.37 104086[16:Res:55151.1,17439.0] || -> equal(cross_product(u,range_of(intersection(cross_product(v,w),x))),a) member(second(f24(cross_product(u,range_of(intersection(cross_product(v,w),x))))),w)*. % 299.97/300.37 104080[16:Res:59051.1,17439.0] || -> equal(intersection(u,range_of(intersection(cross_product(v,w),x))),a) member(f1(a,intersection(u,range_of(intersection(cross_product(v,w),x)))),w)*. % 299.97/300.37 104079[16:Res:59049.1,17439.0] || -> equal(intersection(u,range_of(intersection(cross_product(v,w),x))),a) member(f1(intersection(u,range_of(intersection(cross_product(v,w),x))),a),w)*. % 299.97/300.37 104077[0:Res:3813.2,17439.0] || disjoint(u,universal_set) -> equal(range_of(intersection(cross_product(v,w),x)),u) member(f1(range_of(intersection(cross_product(v,w),x)),u),w)*. % 299.97/300.37 104071[0:Res:3831.2,17439.0] || disjoint(u,universal_set) -> equal(u,range_of(intersection(cross_product(v,w),x))) member(f1(u,range_of(intersection(cross_product(v,w),x))),w)*. % 299.97/300.37 104069[0:Res:118.1,17439.0] || member(u,apply(range_of(intersection(cross_product(v,w),x)),y)) -> member(f28(u,range_of(intersection(cross_product(v,w),x)),y),w)*. % 299.97/300.37 104062[0:Res:278.1,17439.0] || -> subset(intersection(u,range_of(intersection(cross_product(v,w),x))),y) member(f17(intersection(u,range_of(intersection(cross_product(v,w),x))),y),w)*. % 299.97/300.37 104059[0:Res:277.1,17439.0] || -> disjoint(intersection(u,range_of(intersection(cross_product(v,w),x))),y) member(f23(intersection(u,range_of(intersection(cross_product(v,w),x))),y),w)*. % 299.97/300.37 104057[0:Res:289.1,17439.0] || -> disjoint(u,intersection(range_of(intersection(cross_product(v,w),x)),y)) member(f23(u,intersection(range_of(intersection(cross_product(v,w),x)),y)),w)*. % 299.97/300.37 104055[0:Res:9082.0,17439.0] || -> disjoint(u,complement(complement(range_of(intersection(cross_product(v,w),x))))) member(f23(u,complement(complement(range_of(intersection(cross_product(v,w),x))))),w)*. % 299.97/300.37 104034[16:Res:59052.1,17439.0] || -> equal(restrict(range_of(intersection(cross_product(u,v),w)),x),a) member(f1(restrict(range_of(intersection(cross_product(u,v),w)),x),a),v)*. % 299.97/300.37 104033[16:Res:59053.1,17439.0] || -> equal(restrict(range_of(intersection(cross_product(u,v),w)),x),a) member(f1(a,restrict(range_of(intersection(cross_product(u,v),w)),x)),v)*. % 299.97/300.37 104032[16:Res:59050.1,17439.0] || -> equal(intersection(range_of(intersection(cross_product(u,v),w)),x),a) member(f1(a,intersection(range_of(intersection(cross_product(u,v),w)),x)),v)*. % 299.97/300.37 104029[16:Res:59048.1,17439.0] || -> equal(intersection(range_of(intersection(cross_product(u,v),w)),x),a) member(f1(intersection(range_of(intersection(cross_product(u,v),w)),x),a),v)*. % 299.97/300.37 104016[0:Res:285.1,17439.0] || -> disjoint(intersection(range_of(intersection(cross_product(u,v),w)),x),y) member(f23(intersection(range_of(intersection(cross_product(u,v),w)),x),y),v)*. % 299.97/300.37 104015[0:Res:9151.0,17439.0] || -> disjoint(complement(complement(range_of(intersection(cross_product(u,v),w)))),x) member(f23(complement(complement(range_of(intersection(cross_product(u,v),w)))),x),v)*. % 299.97/300.37 104013[0:Res:286.1,17439.0] || -> subset(intersection(range_of(intersection(cross_product(u,v),w)),x),y) member(f17(intersection(range_of(intersection(cross_product(u,v),w)),x),y),v)*. % 299.97/300.37 104012[0:Res:8090.0,17439.0] || -> subset(complement(complement(range_of(intersection(cross_product(u,v),w)))),x) member(f17(complement(complement(range_of(intersection(cross_product(u,v),w)))),x),v)*. % 299.97/300.37 104447[0:Res:1544.2,17546.0] || member(u,image(v,w)) subset(v,range_of(intersection(x,cross_product(y,z))))* -> member(first(f22(u,v,w)),z)*. % 299.97/300.37 104429[16:Res:55152.1,17546.0] || -> equal(cross_product(range_of(intersection(u,cross_product(v,w))),x),a) member(first(f24(cross_product(range_of(intersection(u,cross_product(v,w))),x))),w)*. % 299.97/300.37 104383[0:Res:281.1,17546.0] || -> disjoint(u,intersection(v,range_of(intersection(w,cross_product(x,y))))) member(f23(u,intersection(v,range_of(intersection(w,cross_product(x,y))))),y)*. % 299.97/300.37 104377[0:Res:93.1,17546.0] || member(u,image(v,range_of(intersection(w,cross_product(x,y))))) -> member(f22(u,v,range_of(intersection(w,cross_product(x,y)))),y)*. % 299.97/300.37 104363[16:Res:55151.1,17546.0] || -> equal(cross_product(u,range_of(intersection(v,cross_product(w,x)))),a) member(second(f24(cross_product(u,range_of(intersection(v,cross_product(w,x)))))),x)*. % 299.97/300.37 104357[16:Res:59051.1,17546.0] || -> equal(intersection(u,range_of(intersection(v,cross_product(w,x)))),a) member(f1(a,intersection(u,range_of(intersection(v,cross_product(w,x))))),x)*. % 299.97/300.37 104356[16:Res:59049.1,17546.0] || -> equal(intersection(u,range_of(intersection(v,cross_product(w,x)))),a) member(f1(intersection(u,range_of(intersection(v,cross_product(w,x)))),a),x)*. % 299.97/300.37 104354[0:Res:3813.2,17546.0] || disjoint(u,universal_set) -> equal(range_of(intersection(v,cross_product(w,x))),u) member(f1(range_of(intersection(v,cross_product(w,x))),u),x)*. % 299.97/300.37 104348[0:Res:3831.2,17546.0] || disjoint(u,universal_set) -> equal(u,range_of(intersection(v,cross_product(w,x)))) member(f1(u,range_of(intersection(v,cross_product(w,x)))),x)*. % 299.97/300.37 104346[0:Res:118.1,17546.0] || member(u,apply(range_of(intersection(v,cross_product(w,x))),y)) -> member(f28(u,range_of(intersection(v,cross_product(w,x))),y),x)*. % 299.97/300.37 104339[0:Res:278.1,17546.0] || -> subset(intersection(u,range_of(intersection(v,cross_product(w,x)))),y) member(f17(intersection(u,range_of(intersection(v,cross_product(w,x)))),y),x)*. % 299.97/300.37 104336[0:Res:277.1,17546.0] || -> disjoint(intersection(u,range_of(intersection(v,cross_product(w,x)))),y) member(f23(intersection(u,range_of(intersection(v,cross_product(w,x)))),y),x)*. % 299.97/300.37 104334[0:Res:289.1,17546.0] || -> disjoint(u,intersection(range_of(intersection(v,cross_product(w,x))),y)) member(f23(u,intersection(range_of(intersection(v,cross_product(w,x))),y)),x)*. % 299.97/300.37 104332[0:Res:9082.0,17546.0] || -> disjoint(u,complement(complement(range_of(intersection(v,cross_product(w,x)))))) member(f23(u,complement(complement(range_of(intersection(v,cross_product(w,x)))))),x)*. % 299.97/300.37 104311[16:Res:59052.1,17546.0] || -> equal(restrict(range_of(intersection(u,cross_product(v,w))),x),a) member(f1(restrict(range_of(intersection(u,cross_product(v,w))),x),a),w)*. % 299.97/300.37 104310[16:Res:59053.1,17546.0] || -> equal(restrict(range_of(intersection(u,cross_product(v,w))),x),a) member(f1(a,restrict(range_of(intersection(u,cross_product(v,w))),x)),w)*. % 299.97/300.37 104309[16:Res:59050.1,17546.0] || -> equal(intersection(range_of(intersection(u,cross_product(v,w))),x),a) member(f1(a,intersection(range_of(intersection(u,cross_product(v,w))),x)),w)*. % 299.97/300.37 104306[16:Res:59048.1,17546.0] || -> equal(intersection(range_of(intersection(u,cross_product(v,w))),x),a) member(f1(intersection(range_of(intersection(u,cross_product(v,w))),x),a),w)*. % 299.97/300.37 104293[0:Res:285.1,17546.0] || -> disjoint(intersection(range_of(intersection(u,cross_product(v,w))),x),y) member(f23(intersection(range_of(intersection(u,cross_product(v,w))),x),y),w)*. % 299.97/300.37 104292[0:Res:9151.0,17546.0] || -> disjoint(complement(complement(range_of(intersection(u,cross_product(v,w))))),x) member(f23(complement(complement(range_of(intersection(u,cross_product(v,w))))),x),w)*. % 299.97/300.37 104290[0:Res:286.1,17546.0] || -> subset(intersection(range_of(intersection(u,cross_product(v,w))),x),y) member(f17(intersection(range_of(intersection(u,cross_product(v,w))),x),y),w)*. % 299.97/300.37 104289[0:Res:8090.0,17546.0] || -> subset(complement(complement(range_of(intersection(u,cross_product(v,w))))),x) member(f17(complement(complement(range_of(intersection(u,cross_product(v,w))))),x),w)*. % 299.97/300.37 104618[0:Res:18826.1,1136.2] little_set(powerset(u)) little_set(v) || subset(v,u)* -> member(powerset(u),complement(w))* member(v,sigma(union(w,x)))*. % 299.97/300.37 104583[16:Res:18826.1,57904.0] little_set(complement(sigma(union(u,v)))) || -> member(complement(sigma(union(u,v))),complement(u))* equal(complement(sigma(union(u,v))),a). % 299.97/300.37 104751[0:SSi:104643.0,371.0] || member(u,domain_of(v)) -> member(ordered_pair(second(f8(u,v)),u),complement(w))* member(f8(u,v),converse(union(w,x)))*. % 299.97/300.37 104752[0:SSi:104642.0,371.0] || member(u,range_of(v)) -> member(ordered_pair(u,first(f27(u,v))),complement(w))* member(f27(u,v),converse(union(w,x)))*. % 299.97/300.37 104962[0:Res:18827.1,1136.2] little_set(powerset(u)) little_set(v) || subset(v,u)* -> member(powerset(u),complement(w))* member(v,sigma(union(x,w)))*. % 299.97/300.37 104927[16:Res:18827.1,57904.0] little_set(complement(sigma(union(u,v)))) || -> member(complement(sigma(union(u,v))),complement(v))* equal(complement(sigma(union(u,v))),a). % 299.97/300.37 105097[0:SSi:104987.0,371.0] || member(u,domain_of(v)) -> member(ordered_pair(second(f8(u,v)),u),complement(w))* member(f8(u,v),converse(union(x,w)))*. % 299.97/300.37 105098[0:SSi:104986.0,371.0] || member(u,range_of(v)) -> member(ordered_pair(u,first(f27(u,v))),complement(w))* member(f27(u,v),converse(union(x,w)))*. % 299.97/300.37 105400[0:Res:1544.2,26698.0] || member(u,image(v,w)) subset(v,apply(cross_product(x,y),z))* -> member(first(f22(u,v,w)),sigma(y))*. % 299.97/300.37 105383[0:Res:556.1,26698.0] || -> disjoint(u,cross_product(apply(cross_product(v,w),x),y)) member(first(f23(u,cross_product(apply(cross_product(v,w),x),y))),sigma(w))*. % 299.97/300.37 105378[0:Res:552.1,26698.0] || -> subset(cross_product(apply(cross_product(u,v),w),x),y) member(first(f17(cross_product(apply(cross_product(u,v),w),x),y)),sigma(v))*. % 299.97/300.37 105377[0:Res:551.1,26698.0] || -> disjoint(cross_product(apply(cross_product(u,v),w),x),y) member(first(f23(cross_product(apply(cross_product(u,v),w),x),y)),sigma(v))*. % 299.97/300.37 105321[0:Res:543.1,26698.0] || -> disjoint(u,cross_product(v,apply(cross_product(w,x),y))) member(second(f23(u,cross_product(v,apply(cross_product(w,x),y)))),sigma(x))*. % 299.97/300.37 105312[0:Res:539.1,26698.0] || -> subset(cross_product(u,apply(cross_product(v,w),x)),y) member(second(f17(cross_product(u,apply(cross_product(v,w),x)),y)),sigma(w))*. % 299.97/300.37 105311[0:Res:538.1,26698.0] || -> disjoint(cross_product(u,apply(cross_product(v,w),x)),y) member(second(f23(cross_product(u,apply(cross_product(v,w),x)),y)),sigma(w))*. % 299.97/300.37 105283[0:Res:94.1,26698.0] || member(u,image(apply(cross_product(v,w),x),y)) -> member(first(f22(u,apply(cross_product(v,w),x),y)),sigma(w))*. % 299.97/300.37 105248[0:Res:86.1,26698.0] || -> single_valued_set(apply(cross_product(u,v),w)) member(ordered_pair(f19(apply(cross_product(u,v),w)),f20(apply(cross_product(u,v),w))),sigma(v))*. % 299.97/300.37 105247[0:Res:87.1,26698.0] || -> single_valued_set(apply(cross_product(u,v),w)) member(ordered_pair(f19(apply(cross_product(u,v),w)),f21(apply(cross_product(u,v),w))),sigma(v))*. % 299.97/300.37 105447[3:AED:105424.2] || member(u,image(second(v),w)) member(v,cross_product(x,y))* -> member(first(f22(u,second(v),w)),sigma(y))*. % 299.97/300.37 4287[0:Res:136.1,282.0] || member(u,compose(v,restrict(w,x))) -> member(ordered_pair(f31(u,v,restrict(w,x)),f30(u,v,restrict(w,x))),w)*. % 299.97/300.37 4362[0:Res:135.1,282.0] || member(u,compose(restrict(v,w),x)) -> member(ordered_pair(f29(u,restrict(v,w),x),f31(u,restrict(v,w),x)),v)*. % 299.97/300.37 5258[0:Res:143.3,1238.0] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(w,universal_set) -> homomorphism(y,w,x,u,v)*. % 299.97/300.37 5769[3:MRR:4478.0,5743.1] || member(second(f1(cross_product(u,v),universal_set)),v)* member(first(f1(cross_product(u,v),universal_set)),u)* -> equal(cross_product(u,v),universal_set). % 299.97/300.37 6232[3:MRR:5406.0,6160.1] || member(u,v) equal(first(u),w) -> equal(complement(second(u)),universal_set) member(f1(complement(second(u)),universal_set),apply(v,w))*. % 299.97/300.37 6845[3:Res:395.0,6192.1] || member(u,v) equal(first(u),w) -> subset(x,complement(second(u))) member(f17(x,complement(second(u))),apply(v,w))*. % 299.97/300.37 7885[3:Res:94.1,6176.0] || member(u,image(converse(v),w)) -> ordered_pair_predicate(ordered_pair(second(first(f22(u,converse(v),w))),first(first(f22(u,converse(v),w)))))*. % 299.97/300.37 9433[0:Res:136.1,4549.0] || member(u,compose(v,flip_range_of(w))) equal(x,ordered_pair(f31(u,v,flip_range_of(w)),f30(u,v,flip_range_of(w))))* -> ordered_pair_predicate(x)*. % 299.97/300.37 9430[0:Res:135.1,4549.0] || member(u,compose(flip_range_of(v),w)) equal(x,ordered_pair(f29(u,flip_range_of(v),w),f31(u,flip_range_of(v),w)))* -> ordered_pair_predicate(x)*. % 299.97/300.37 9714[0:Res:136.1,4578.0] || member(u,compose(v,rotate_right(w))) equal(x,ordered_pair(f31(u,v,rotate_right(w)),f30(u,v,rotate_right(w))))* -> ordered_pair_predicate(x)*. % 299.97/300.37 9711[0:Res:135.1,4578.0] || member(u,compose(rotate_right(v),w)) equal(x,ordered_pair(f29(u,rotate_right(v),w),f31(u,rotate_right(v),w)))* -> ordered_pair_predicate(x)*. % 299.97/300.37 12918[0:MRR:12913.0,12913.2,85.1,83.1] little_set(u) single_valued_set(v) || subset(w,v) member(ordered_pair(f19(w),u),v)* -> single_valued_set(w) equal(u,f21(w)). % 299.97/300.37 13033[0:MRR:13028.0,13028.2,84.1,83.1] little_set(u) single_valued_set(v) || subset(w,v) member(ordered_pair(f19(w),u),v)* -> single_valued_set(w) equal(u,f20(w)). % 299.97/300.37 13278[0:Res:136.1,10964.0] || member(u,compose(v,complement(complement(w)))) -> member(ordered_pair(f31(u,v,complement(complement(w))),f30(u,v,complement(complement(w)))),w)*. % 299.97/300.37 13273[0:Res:135.1,10964.0] || member(u,compose(complement(complement(v)),w)) -> member(ordered_pair(f29(u,complement(complement(v)),w),f31(u,complement(complement(v)),w)),v)*. % 299.97/300.37 13875[3:MRR:13833.0,6168.1] || member(second(f17(u,v)),w)* member(first(f17(u,v)),x)* disjoint(cross_product(x,w),u)* -> subset(u,v). % 299.97/300.37 14057[3:MRR:14008.0,6167.1] || member(second(f23(u,v)),w)* member(first(f23(u,v)),x)* disjoint(cross_product(x,w),v)* -> disjoint(u,v). % 299.97/300.37 14166[3:MRR:14116.0,6167.1] || member(second(f23(u,v)),w)* member(first(f23(u,v)),x)* disjoint(cross_product(x,w),u)* -> disjoint(u,v). % 299.97/300.37 14801[0:Res:281.1,314.0] || member(f23(u,intersection(v,intersection(complement(w),complement(x)))),union(w,x))* -> disjoint(u,intersection(v,intersection(complement(w),complement(x)))). % 299.97/300.37 14798[0:Res:93.1,314.0] || member(u,image(v,intersection(complement(w),complement(x)))) member(f22(u,v,intersection(complement(w),complement(x))),union(w,x))* -> . % 299.97/300.37 14788[0:Res:118.1,314.0] || member(u,apply(intersection(complement(v),complement(w)),x)) member(f28(u,intersection(complement(v),complement(w)),x),union(v,w))* -> . % 299.97/300.37 14784[0:Res:278.1,314.0] || member(f17(intersection(u,intersection(complement(v),complement(w))),x),union(v,w))* -> subset(intersection(u,intersection(complement(v),complement(w))),x). % 299.97/300.37 14781[0:Res:277.1,314.0] || member(f23(intersection(u,intersection(complement(v),complement(w))),x),union(v,w))* -> disjoint(intersection(u,intersection(complement(v),complement(w))),x). % 299.97/300.37 14779[0:Res:289.1,314.0] || member(f23(u,intersection(intersection(complement(v),complement(w)),x)),union(v,w))* -> disjoint(u,intersection(intersection(complement(v),complement(w)),x)). % 299.97/300.37 14767[0:Res:285.1,314.0] || member(f23(intersection(intersection(complement(u),complement(v)),w),x),union(u,v))* -> disjoint(intersection(intersection(complement(u),complement(v)),w),x). % 299.97/300.37 14765[0:Res:286.1,314.0] || member(f17(intersection(intersection(complement(u),complement(v)),w),x),union(u,v))* -> subset(intersection(intersection(complement(u),complement(v)),w),x). % 299.97/300.37 14880[0:Res:46.1,1020.0] || member(u,converse(converse(intersection(v,w))))* -> member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)*. % 299.97/300.37 14855[0:Res:100.1,1020.0] || -> disjoint(u,converse(intersection(v,w))) member(ordered_pair(second(f23(u,converse(intersection(v,w)))),first(f23(u,converse(intersection(v,w))))),v)*. % 299.97/300.37 14844[0:Res:99.1,1020.0] || -> disjoint(converse(intersection(u,v)),w) member(ordered_pair(second(f23(converse(intersection(u,v)),w)),first(f23(converse(intersection(u,v)),w))),u)*. % 299.97/300.37 14842[0:Res:71.1,1020.0] || -> subset(converse(intersection(u,v)),w) member(ordered_pair(second(f17(converse(intersection(u,v)),w)),first(f17(converse(intersection(u,v)),w))),u)*. % 299.97/300.37 14986[0:Res:46.1,1021.0] || member(u,converse(converse(intersection(v,w))))* -> member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),w)*. % 299.97/300.37 14961[0:Res:100.1,1021.0] || -> disjoint(u,converse(intersection(v,w))) member(ordered_pair(second(f23(u,converse(intersection(v,w)))),first(f23(u,converse(intersection(v,w))))),w)*. % 299.97/300.37 14950[0:Res:99.1,1021.0] || -> disjoint(converse(intersection(u,v)),w) member(ordered_pair(second(f23(converse(intersection(u,v)),w)),first(f23(converse(intersection(u,v)),w))),v)*. % 299.97/300.37 14948[0:Res:71.1,1021.0] || -> subset(converse(intersection(u,v)),w) member(ordered_pair(second(f17(converse(intersection(u,v)),w)),first(f17(converse(intersection(u,v)),w))),v)*. % 299.97/300.37 15266[0:Res:964.2,1020.0] || member(u,sigma(v)) subset(v,converse(intersection(w,x)))* -> member(ordered_pair(second(f16(u,v)),first(f16(u,v))),w)*. % 299.97/300.37 15265[0:Res:964.2,1021.0] || member(u,sigma(v)) subset(v,converse(intersection(w,x)))* -> member(ordered_pair(second(f16(u,v)),first(f16(u,v))),x)*. % 299.97/300.37 16078[0:MRR:16044.0,5.0] || equal(f1(u,ordered_pair(v,w)),non_ordered_pair(v,w)) member(f1(u,ordered_pair(v,w)),u)* -> equal(u,ordered_pair(v,w)). % 299.97/300.37 16186[0:Rew:39.1,16162.1] || member(u,domain_of(intersection(converse(intersection(v,w)),x))) -> member(ordered_pair(second(f8(u,intersection(converse(intersection(v,w)),x))),u),v)*. % 299.97/300.37 16187[0:Rew:39.1,16161.1] || member(u,domain_of(intersection(converse(intersection(v,w)),x))) -> member(ordered_pair(second(f8(u,intersection(converse(intersection(v,w)),x))),u),w)*. % 299.97/300.37 16418[0:Rew:39.1,16392.1] || member(u,domain_of(intersection(v,converse(intersection(w,x))))) -> member(ordered_pair(second(f8(u,intersection(v,converse(intersection(w,x))))),u),w)*. % 299.97/300.37 16419[0:Rew:39.1,16391.1] || member(u,domain_of(intersection(v,converse(intersection(w,x))))) -> member(ordered_pair(second(f8(u,intersection(v,converse(intersection(w,x))))),u),x)*. % 299.97/300.37 17076[0:Res:136.1,15955.0] || member(u,compose(v,sigma(powerset(w)))) -> member(ordered_pair(f31(u,v,sigma(powerset(w))),f30(u,v,sigma(powerset(w)))),w)*. % 299.97/300.37 17071[0:Res:135.1,15955.0] || member(u,compose(sigma(powerset(v)),w)) -> member(ordered_pair(f29(u,sigma(powerset(v)),w),f31(u,sigma(powerset(v)),w)),v)*. % 299.97/300.37 17441[0:Rew:108.1,17410.1] || member(u,range_of(intersection(converse(intersection(v,w)),x))) -> member(ordered_pair(u,first(f27(u,intersection(converse(intersection(v,w)),x)))),v)*. % 299.97/300.37 17442[0:Rew:108.1,17409.1] || member(u,range_of(intersection(converse(intersection(v,w)),x))) -> member(ordered_pair(u,first(f27(u,intersection(converse(intersection(v,w)),x)))),w)*. % 299.97/300.37 17548[0:Rew:108.1,17517.1] || member(u,range_of(intersection(v,converse(intersection(w,x))))) -> member(ordered_pair(u,first(f27(u,intersection(v,converse(intersection(w,x)))))),w)*. % 299.97/300.37 17549[0:Rew:108.1,17516.1] || member(u,range_of(intersection(v,converse(intersection(w,x))))) -> member(ordered_pair(u,first(f27(u,intersection(v,converse(intersection(w,x)))))),x)*. % 299.97/300.37 17664[2:Res:963.2,1467.1] || member(u,range_of(v)) subset(v,second(f28(w,x,f27(u,v))))* member(w,apply(x,f27(u,v))) -> . % 299.97/300.37 17663[2:Res:964.2,1467.1] || member(u,sigma(v)) subset(v,second(f28(w,x,f16(u,v))))* member(w,apply(x,f16(u,v))) -> . % 299.97/300.37 17662[2:Res:965.2,1467.1] || member(u,domain_of(v)) subset(v,second(f28(w,x,f8(u,v))))* member(w,apply(x,f8(u,v))) -> . % 299.97/300.37 17670[2:Rew:122.0,17667.1] || subset(u,second(f28(v,w,ordered_pair(f19(u),f20(u)))))* member(v,apply_to_two_arguments(w,f19(u),f20(u))) -> single_valued_set(u). % 299.97/300.37 17671[2:Rew:122.0,17666.1] || subset(u,second(f28(v,w,ordered_pair(f19(u),f21(u)))))* member(v,apply_to_two_arguments(w,f19(u),f21(u))) -> single_valued_set(u). % 299.97/300.37 18161[3:Res:4115.1,6176.0] ordered_pair_predicate(u) || -> member(u,converse(complement(converse(v))))* ordered_pair_predicate(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))))*. % 299.97/300.37 18206[0:MRR:18144.0,92.1] || member(u,image(v,w)) -> member(ordered_pair(u,first(f22(u,v,w))),x)* member(f22(u,v,w),converse(complement(x))). % 299.97/300.37 18207[0:MRR:18139.0,117.1] || member(u,apply(v,w)) -> member(ordered_pair(second(f28(u,v,w)),w),x)* member(f28(u,v,w),converse(complement(x))). % 299.97/300.37 18287[0:Res:279.1,274.0] || -> single_valued_set(intersection(u,restrict(v,w))) member(ordered_pair(f19(intersection(u,restrict(v,w))),f21(intersection(u,restrict(v,w)))),cross_product(w,universal_set))*. % 299.97/300.37 18424[0:Res:280.1,274.0] || -> single_valued_set(intersection(u,restrict(v,w))) member(ordered_pair(f19(intersection(u,restrict(v,w))),f20(intersection(u,restrict(v,w)))),cross_product(w,universal_set))*. % 299.97/300.37 18506[0:Res:287.1,274.0] || -> single_valued_set(intersection(restrict(u,v),w)) member(ordered_pair(f19(intersection(restrict(u,v),w)),f21(intersection(restrict(u,v),w))),cross_product(v,universal_set))*. % 299.97/300.37 18648[0:Res:288.1,274.0] || -> single_valued_set(intersection(restrict(u,v),w)) member(ordered_pair(f19(intersection(restrict(u,v),w)),f20(intersection(restrict(u,v),w))),cross_product(v,universal_set))*. % 299.97/300.37 18892[2:MRR:18863.0,1545.1] || member(intersection(complement(u),complement(v)),image(w,x)) -> member(first(f22(intersection(complement(u),complement(v)),w,x)),union(u,v))*. % 299.97/300.37 18937[0:Res:1080.2,1137.1] little_set(complement(u)) little_set(v) || equal(complement(u),non_ordered_pair(w,x))* -> member(v,u)* member(v,sigma(ordered_pair(w,x)))*. % 299.97/300.37 18991[0:Res:33.2,1139.1] || member(f7(u,v),w)* member(f7(u,v),x)* member(u,second(v)) -> member(u,sigma(intersection(x,w)))*. % 299.97/300.37 18990[0:Res:120.1,1139.1] || member(f7(u,v),apply(w,x)) member(u,second(v)) -> member(u,sigma(second(f28(f7(u,v),w,x))))*. % 299.97/300.37 19120[0:Res:33.2,1140.1] || member(f4(u,v),w)* member(f4(u,v),x)* member(u,first(v)) -> member(u,sigma(intersection(x,w)))*. % 299.97/300.37 19119[0:Res:120.1,1140.1] || member(f4(u,v),apply(w,x)) member(u,first(v)) -> member(u,sigma(second(f28(f4(u,v),w,x))))*. % 299.97/300.37 19248[0:Res:33.2,1138.1] || member(f16(u,v),w)* member(f16(u,v),x)* member(u,sigma(v)) -> member(u,sigma(intersection(x,w)))*. % 299.97/300.37 19247[0:Res:120.1,1138.1] || member(f16(u,v),apply(w,x)) member(u,sigma(v)) -> member(u,sigma(second(f28(f16(u,v),w,x))))*. % 299.97/300.37 19596[0:Res:546.1,1354.0] || member(u,domain_of(cross_product(v,image(w,cross_product(x,y))))) -> member(second(f8(u,cross_product(v,image(w,cross_product(x,y))))),y)*. % 299.97/300.37 19734[0:Res:33.2,1225.1] || member(f8(u,v),w)* member(f8(u,v),x)* member(u,domain_of(v)) disjoint(intersection(x,w),v)* -> . % 299.97/300.37 19733[0:Res:120.1,1225.1] || member(f8(u,v),apply(w,x)) member(u,domain_of(v)) disjoint(second(f28(f8(u,v),w,x)),v)* -> . % 299.97/300.37 19993[0:Res:33.2,1223.1] || member(f27(u,v),w)* member(f27(u,v),x)* member(u,range_of(v)) disjoint(intersection(x,w),v)* -> . % 299.97/300.37 19992[0:Res:120.1,1223.1] || member(f27(u,v),apply(w,x)) member(u,range_of(v)) disjoint(second(f28(f27(u,v),w,x)),v)* -> . % 299.97/300.37 20254[0:Res:33.2,1224.1] || member(f16(u,v),w)* member(f16(u,v),x)* member(u,sigma(v)) disjoint(intersection(x,w),v)* -> . % 299.97/300.37 20253[0:Res:120.1,1224.1] || member(f16(u,v),apply(w,x)) member(u,sigma(v)) disjoint(second(f28(f16(u,v),w,x)),v)* -> . % 299.97/300.37 20681[0:Res:545.1,1354.0] || member(u,sigma(cross_product(v,image(w,cross_product(x,y))))) -> member(second(f16(u,cross_product(v,image(w,cross_product(x,y))))),y)*. % 299.97/300.37 20789[0:Res:558.1,1354.0] || member(u,sigma(cross_product(image(v,cross_product(w,x)),y))) -> member(first(f16(u,cross_product(image(v,cross_product(w,x)),y))),x)*. % 299.97/300.37 20924[0:Res:557.1,1354.0] || member(u,range_of(cross_product(image(v,cross_product(w,x)),y))) -> member(first(f27(u,cross_product(image(v,cross_product(w,x)),y))),x)*. % 299.97/300.37 21130[0:Res:3651.2,1214.0] || member(f17(u,v),cross_product(w,universal_set))* member(f17(u,v),x)* disjoint(restrict(x,w),u)* -> subset(u,v). % 299.97/300.37 21129[0:Res:3651.2,1221.0] || member(f23(u,v),cross_product(w,universal_set))* member(f23(u,v),x)* disjoint(restrict(x,w),v)* -> disjoint(u,v). % 299.97/300.37 21128[0:Res:3651.2,1213.0] || member(f23(u,v),cross_product(w,universal_set))* member(f23(u,v),x)* disjoint(restrict(x,w),u)* -> disjoint(u,v). % 299.97/300.37 21117[0:Res:3651.2,72.0] || member(f17(u,restrict(v,w)),cross_product(w,universal_set))* member(f17(u,restrict(v,w)),v)* -> subset(u,restrict(v,w)). % 299.97/300.37 21112[0:Res:3651.2,4163.0] || member(f1(restrict(u,v),universal_set),cross_product(v,universal_set))* member(f1(restrict(u,v),universal_set),u)* -> equal(restrict(u,v),universal_set). % 299.97/300.37 21447[0:Res:540.1,43.0] || -> single_valued_set(cross_product(u,cross_product(v,w))) member(second(second(ordered_pair(f19(cross_product(u,cross_product(v,w))),f21(cross_product(u,cross_product(v,w)))))),w)*. % 299.97/300.37 21446[0:Res:540.1,42.0] || -> single_valued_set(cross_product(u,cross_product(v,w))) member(first(second(ordered_pair(f19(cross_product(u,cross_product(v,w))),f21(cross_product(u,cross_product(v,w)))))),v)*. % 299.97/300.37 21607[0:Res:541.1,43.0] || -> single_valued_set(cross_product(u,cross_product(v,w))) member(second(second(ordered_pair(f19(cross_product(u,cross_product(v,w))),f20(cross_product(u,cross_product(v,w)))))),w)*. % 299.97/300.37 21606[0:Res:541.1,42.0] || -> single_valued_set(cross_product(u,cross_product(v,w))) member(first(second(ordered_pair(f19(cross_product(u,cross_product(v,w))),f20(cross_product(u,cross_product(v,w)))))),v)*. % 299.97/300.37 21686[0:Res:553.1,43.0] || -> single_valued_set(cross_product(cross_product(u,v),w)) member(second(first(ordered_pair(f19(cross_product(cross_product(u,v),w)),f21(cross_product(cross_product(u,v),w))))),v)*. % 299.97/300.37 21685[0:Res:553.1,42.0] || -> single_valued_set(cross_product(cross_product(u,v),w)) member(first(first(ordered_pair(f19(cross_product(cross_product(u,v),w)),f21(cross_product(cross_product(u,v),w))))),u)*. % 299.97/300.37 21775[0:Res:554.1,43.0] || -> single_valued_set(cross_product(cross_product(u,v),w)) member(second(first(ordered_pair(f19(cross_product(cross_product(u,v),w)),f20(cross_product(cross_product(u,v),w))))),v)*. % 299.97/300.37 21774[0:Res:554.1,42.0] || -> single_valued_set(cross_product(cross_product(u,v),w)) member(first(first(ordered_pair(f19(cross_product(cross_product(u,v),w)),f20(cross_product(cross_product(u,v),w))))),u)*. % 299.97/300.37 21877[0:Res:66.1,1009.0] || member(u,sigma(converse(v))) subset(v,w) -> member(ordered_pair(second(f16(u,converse(v))),first(f16(u,converse(v)))),w)*. % 299.97/300.37 21873[0:Res:955.2,1009.0] || subset(u,converse(v))* subset(v,w)* -> subset(u,x) member(ordered_pair(second(f17(u,x)),first(f17(u,x))),w)*. % 299.97/300.37 21870[0:Res:961.2,1009.0] || subset(u,converse(v))* subset(v,w)* -> disjoint(x,u) member(ordered_pair(second(f23(x,u)),first(f23(x,u))),w)*. % 299.97/300.37 21868[0:Res:954.2,1009.0] || subset(u,converse(v))* subset(v,w)* -> disjoint(u,x) member(ordered_pair(second(f23(u,x)),first(f23(u,x))),w)*. % 299.97/300.37 21934[0:Rew:108.1,21904.2] || member(u,range_of(intersection(v,converse(w)))) subset(w,x) -> member(ordered_pair(u,first(f27(u,intersection(v,converse(w))))),x)*. % 299.97/300.37 21935[0:Rew:39.1,21900.2] || member(u,domain_of(intersection(v,converse(w)))) subset(w,x) -> member(ordered_pair(second(f8(u,intersection(v,converse(w)))),u),x)*. % 299.97/300.37 21936[0:Rew:108.1,21880.2] || member(u,range_of(intersection(converse(v),w))) subset(v,x) -> member(ordered_pair(u,first(f27(u,intersection(converse(v),w)))),x)*. % 299.97/300.37 21937[0:Rew:39.1,21876.2] || member(u,domain_of(intersection(converse(v),w))) subset(v,x) -> member(ordered_pair(second(f8(u,intersection(converse(v),w))),u),x)*. % 299.97/300.37 21997[0:Res:1103.2,1136.2] little_set(powerset(u)) little_set(v) || equal(powerset(u),singleton_set(w))* subset(v,u)* -> member(v,sigma(ordered_pair(w,x)))*. % 299.97/300.37 21989[0:Res:33.2,1136.2] little_set(u) || member(powerset(v),w)* member(powerset(v),x)* subset(u,v)* -> member(u,sigma(intersection(x,w)))*. % 299.97/300.37 21988[0:Res:120.1,1136.2] little_set(u) || member(powerset(v),apply(w,x)) subset(u,v) -> member(u,sigma(second(f28(powerset(v),w,x))))*. % 299.97/300.37 22353[0:Res:5009.3,1216.0] little_set(u) little_set(v) || member(ordered_pair(f19(w),f20(w)),v)* disjoint(first(ordered_pair(v,u)),w)* -> single_valued_set(w). % 299.97/300.37 22352[0:Res:5009.3,1215.0] little_set(u) little_set(v) || member(ordered_pair(f19(w),f21(w)),v)* disjoint(first(ordered_pair(v,u)),w)* -> single_valued_set(w). % 299.97/300.37 22350[0:Res:5009.3,1019.1] little_set(u) little_set(v) || member(ordered_pair(second(w),first(w)),v)* member(w,converse(complement(first(ordered_pair(v,u)))))* -> . % 299.97/300.37 22326[0:Res:5009.3,260.0] little_set(u) little_set(v) || member(f23(w,complement(first(ordered_pair(v,u)))),v)* -> disjoint(w,complement(first(ordered_pair(v,u)))). % 299.97/300.37 22320[0:Res:5009.3,256.0] little_set(u) little_set(v) || member(f23(complement(first(ordered_pair(v,u))),w),v)* -> disjoint(complement(first(ordered_pair(v,u))),w). % 299.97/300.37 22319[0:Res:5009.3,257.0] little_set(u) little_set(v) || member(f17(complement(first(ordered_pair(v,u))),w),v)* -> subset(complement(first(ordered_pair(v,u))),w). % 299.97/300.37 22505[0:Res:556.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,cross_product(f2(u),x)) member(first(f23(w,cross_product(f2(u),x))),first(v))*. % 299.97/300.37 22502[0:Res:552.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> subset(cross_product(f2(u),w),x) member(first(f17(cross_product(f2(u),w),x)),first(v))*. % 299.97/300.37 22501[0:Res:551.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(cross_product(f2(u),w),x) member(first(f23(cross_product(f2(u),w),x)),first(v))*. % 299.97/300.37 22483[0:Res:963.2,5018.1] ordered_pair_predicate(u) || member(v,range_of(w)) subset(w,f2(u))* equal(x,u)* -> member(f27(v,w),first(x))*. % 299.97/300.37 22481[0:Res:964.2,5018.1] ordered_pair_predicate(u) || member(v,sigma(w)) subset(w,f2(u))* equal(x,u)* -> member(f16(v,w),first(x))*. % 299.97/300.37 22479[0:Res:965.2,5018.1] ordered_pair_predicate(u) || member(v,domain_of(w)) subset(w,f2(u))* equal(x,u)* -> member(f8(v,w),first(x))*. % 299.97/300.37 22472[0:Res:543.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,cross_product(x,f2(u))) member(second(f23(w,cross_product(x,f2(u)))),first(v))*. % 299.97/300.37 22465[0:Res:539.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> subset(cross_product(w,f2(u)),x) member(second(f17(cross_product(w,f2(u)),x)),first(v))*. % 299.97/300.37 22464[0:Res:538.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(cross_product(w,f2(u)),x) member(second(f23(cross_product(w,f2(u)),x)),first(v))*. % 299.97/300.37 22446[0:Res:94.1,5018.1] ordered_pair_predicate(u) || member(v,image(f2(u),w)) equal(x,u) -> member(first(f22(v,f2(u),w)),first(x))*. % 299.97/300.37 22597[0:Res:5054.3,1216.0] little_set(u) little_set(v) || member(ordered_pair(f19(w),f20(w)),u)* disjoint(second(ordered_pair(v,u)),w)* -> single_valued_set(w). % 299.97/300.37 22596[0:Res:5054.3,1215.0] little_set(u) little_set(v) || member(ordered_pair(f19(w),f21(w)),u)* disjoint(second(ordered_pair(v,u)),w)* -> single_valued_set(w). % 299.97/300.37 22594[0:Res:5054.3,1019.1] little_set(u) little_set(v) || member(ordered_pair(second(w),first(w)),u)* member(w,converse(complement(second(ordered_pair(v,u)))))* -> . % 299.97/300.37 22570[0:Res:5054.3,260.0] little_set(u) little_set(v) || member(f23(w,complement(second(ordered_pair(v,u)))),u)* -> disjoint(w,complement(second(ordered_pair(v,u)))). % 299.97/300.37 22564[0:Res:5054.3,256.0] little_set(u) little_set(v) || member(f23(complement(second(ordered_pair(v,u))),w),u)* -> disjoint(complement(second(ordered_pair(v,u))),w). % 299.97/300.37 22563[0:Res:5054.3,257.0] little_set(u) little_set(v) || member(f17(complement(second(ordered_pair(v,u))),w),u)* -> subset(complement(second(ordered_pair(v,u))),w). % 299.97/300.37 22713[0:Res:556.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,cross_product(f3(u),x)) member(first(f23(w,cross_product(f3(u),x))),second(v))*. % 299.97/300.37 22710[0:Res:552.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> subset(cross_product(f3(u),w),x) member(first(f17(cross_product(f3(u),w),x)),second(v))*. % 299.97/300.37 22709[0:Res:551.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(cross_product(f3(u),w),x) member(first(f23(cross_product(f3(u),w),x)),second(v))*. % 299.97/300.37 22691[0:Res:963.2,5063.1] ordered_pair_predicate(u) || member(v,range_of(w)) subset(w,f3(u))* equal(x,u)* -> member(f27(v,w),second(x))*. % 299.97/300.37 22689[0:Res:964.2,5063.1] ordered_pair_predicate(u) || member(v,sigma(w)) subset(w,f3(u))* equal(x,u)* -> member(f16(v,w),second(x))*. % 299.97/300.37 22687[0:Res:965.2,5063.1] ordered_pair_predicate(u) || member(v,domain_of(w)) subset(w,f3(u))* equal(x,u)* -> member(f8(v,w),second(x))*. % 299.97/300.37 22680[0:Res:543.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(w,cross_product(x,f3(u))) member(second(f23(w,cross_product(x,f3(u)))),second(v))*. % 299.97/300.37 22673[0:Res:539.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> subset(cross_product(w,f3(u)),x) member(second(f17(cross_product(w,f3(u)),x)),second(v))*. % 299.97/300.37 22672[0:Res:538.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> disjoint(cross_product(w,f3(u)),x) member(second(f23(cross_product(w,f3(u)),x)),second(v))*. % 299.97/300.37 22654[0:Res:94.1,5063.1] ordered_pair_predicate(u) || member(v,image(f3(u),w)) equal(x,u) -> member(first(f22(v,f3(u),w)),second(x))*. % 299.97/300.37 22801[0:Res:3821.1,43.0] || -> equal(cross_product(u,v),powerset(w)) subset(f1(cross_product(u,v),powerset(w)),w)* member(second(f1(cross_product(u,v),powerset(w))),v)*. % 299.97/300.37 22800[0:Res:3821.1,42.0] || -> equal(cross_product(u,v),powerset(w)) subset(f1(cross_product(u,v),powerset(w)),w)* member(first(f1(cross_product(u,v),powerset(w))),u)*. % 299.97/300.37 22896[0:Res:3839.1,43.0] || -> equal(powerset(u),cross_product(v,w)) subset(f1(powerset(u),cross_product(v,w)),u)* member(second(f1(powerset(u),cross_product(v,w))),w)*. % 299.97/300.37 22895[0:Res:3839.1,42.0] || -> equal(powerset(u),cross_product(v,w)) subset(f1(powerset(u),cross_product(v,w)),u)* member(first(f1(powerset(u),cross_product(v,w))),v)*. % 299.97/300.37 23016[0:Res:1339.2,314.0] || member(u,image(v,w)) subset(w,intersection(complement(x),complement(y))) member(f22(u,v,w),union(x,y))* -> . % 299.97/300.37 23044[0:Rew:95.1,23000.2] || member(u,image(v,w)) subset(w,converse(cross_product(x,y)))* -> member(first(ordered_pair(u,first(f22(u,v,w)))),x)*. % 299.97/300.37 23045[0:Rew:95.1,22999.2] || member(u,image(v,w)) subset(w,converse(cross_product(x,y)))* -> member(second(ordered_pair(u,first(f22(u,v,w)))),y)*. % 299.97/300.37 23108[0:Res:1274.2,314.0] || member(u,apply(v,w)) subset(v,intersection(complement(x),complement(y))) member(f28(u,v,w),union(x,y))* -> . % 299.97/300.37 23136[0:Rew:119.1,23092.2] || member(u,apply(v,w)) subset(v,converse(cross_product(x,y)))* -> member(first(ordered_pair(second(f28(u,v,w)),w)),x)*. % 299.97/300.37 23137[0:Rew:119.1,23091.2] || member(u,apply(v,w)) subset(v,converse(cross_product(x,y)))* -> member(second(ordered_pair(second(f28(u,v,w)),w)),y)*. % 299.97/300.37 23169[0:Res:1350.1,4238.0] || member(u,image(v,intersection(compose(w,x),y)))* equal(z,f22(u,v,intersection(compose(w,x),y)))* -> ordered_pair_predicate(z)*. % 299.97/300.37 23254[0:Res:1351.1,4238.0] || member(u,image(v,intersection(w,compose(x,y))))* equal(z,f22(u,v,intersection(w,compose(x,y))))* -> ordered_pair_predicate(z)*. % 299.97/300.37 24321[0:Res:960.2,1163.0] || member(u,infinity) subset(infinity,converse(v))* member(v,w)* -> member(ordered_pair(second(successor(u)),first(successor(u))),sigma(w))*. % 299.97/300.37 24367[0:Rew:108.1,24335.3] || member(u,range_of(v)) subset(v,converse(w))* member(w,x)* -> member(ordered_pair(u,first(f27(u,v))),sigma(x))*. % 299.97/300.37 24368[0:Rew:39.1,24331.3] || member(u,domain_of(v)) subset(v,converse(w))* member(w,x)* -> member(ordered_pair(second(f8(u,v)),u),sigma(x))*. % 299.97/300.37 25115[0:MRR:25084.0,5.0] || equal(f1(u,complement(non_ordered_pair(v,w))),w) -> equal(u,complement(non_ordered_pair(v,w))) member(f1(u,complement(non_ordered_pair(v,w))),u)*. % 299.97/300.37 25116[0:MRR:25083.0,5.0] || equal(f1(u,complement(non_ordered_pair(v,w))),v) -> equal(u,complement(non_ordered_pair(v,w))) member(f1(u,complement(non_ordered_pair(v,w))),u)*. % 299.97/300.37 25183[0:MRR:25150.0,5.0] || equal(f1(complement(non_ordered_pair(u,v)),w),v) -> equal(complement(non_ordered_pair(u,v)),w) member(f1(complement(non_ordered_pair(u,v)),w),w)*. % 299.97/300.37 25184[0:MRR:25149.0,5.0] || equal(f1(complement(non_ordered_pair(u,v)),w),u) -> equal(complement(non_ordered_pair(u,v)),w) member(f1(complement(non_ordered_pair(u,v)),w),w)*. % 299.97/300.37 25256[0:MRR:25227.0,5.0] || equal(f1(non_ordered_pair(u,v),complement(w)),v) -> member(f1(non_ordered_pair(u,v),complement(w)),w)* equal(non_ordered_pair(u,v),complement(w)). % 299.97/300.37 25257[0:MRR:25226.0,5.0] || equal(f1(non_ordered_pair(u,v),complement(w)),u) -> member(f1(non_ordered_pair(u,v),complement(w)),w)* equal(non_ordered_pair(u,v),complement(w)). % 299.97/300.37 25486[0:Res:67.1,1272.1] || member(f28(u,v,w),sigma(x)) member(u,apply(v,w)) disjoint(f16(f28(u,v,w),x),v)* -> . % 299.97/300.37 25485[0:Res:21.1,1272.1] || member(f28(u,v,w),first(x)) member(u,apply(v,w)) disjoint(f4(f28(u,v,w),x),v)* -> . % 299.97/300.37 25484[0:Res:26.1,1272.1] || member(f28(u,v,w),second(x)) member(u,apply(v,w)) disjoint(f7(f28(u,v,w),x),v)* -> . % 299.97/300.37 25620[0:Res:67.1,1337.1] || member(f22(u,v,w),sigma(x)) member(u,image(v,w)) disjoint(f16(f22(u,v,w),x),w)* -> . % 299.97/300.37 25619[0:Res:21.1,1337.1] || member(f22(u,v,w),first(x)) member(u,image(v,w)) disjoint(f4(f22(u,v,w),x),w)* -> . % 299.97/300.37 25618[0:Res:26.1,1337.1] || member(f22(u,v,w),second(x)) member(u,image(v,w)) disjoint(f7(f22(u,v,w),x),w)* -> . % 299.97/300.37 25793[0:Res:1344.1,274.0] || member(u,image(v,cross_product(restrict(w,x),y))) -> member(first(f22(u,v,cross_product(restrict(w,x),y))),cross_product(x,universal_set))*. % 299.97/300.37 25784[0:Res:1344.1,547.0] || member(u,image(v,cross_product(range_of(cross_product(w,x)),y))) -> member(first(f22(u,v,cross_product(range_of(cross_product(w,x)),y))),x)*. % 299.97/300.37 25782[0:Res:1344.1,560.0] || member(u,image(v,cross_product(domain_of(cross_product(w,x)),y))) -> member(first(f22(u,v,cross_product(domain_of(cross_product(w,x)),y))),w)*. % 299.97/300.37 25930[0:Res:1555.1,274.0] || member(u,image(intersection(restrict(v,w),x),y)) -> member(first(f22(u,intersection(restrict(v,w),x),y)),cross_product(w,universal_set))*. % 299.97/300.37 25921[0:Res:1555.1,547.0] || member(u,image(intersection(range_of(cross_product(v,w)),x),y)) -> member(first(f22(u,intersection(range_of(cross_product(v,w)),x),y)),w)*. % 299.97/300.37 25919[0:Res:1555.1,560.0] || member(u,image(intersection(domain_of(cross_product(v,w)),x),y)) -> member(first(f22(u,intersection(domain_of(cross_product(v,w)),x),y)),v)*. % 299.97/300.37 26087[0:Res:1556.1,274.0] || member(u,image(intersection(v,restrict(w,x)),y)) -> member(first(f22(u,intersection(v,restrict(w,x)),y)),cross_product(x,universal_set))*. % 299.97/300.37 26078[0:Res:1556.1,547.0] || member(u,image(intersection(v,range_of(cross_product(w,x))),y)) -> member(first(f22(u,intersection(v,range_of(cross_product(w,x))),y)),x)*. % 299.97/300.37 26076[0:Res:1556.1,560.0] || member(u,image(intersection(v,domain_of(cross_product(w,x))),y)) -> member(first(f22(u,intersection(v,domain_of(cross_product(w,x))),y)),w)*. % 299.97/300.37 26157[0:Res:1280.1,274.0] || member(u,apply(cross_product(v,restrict(w,x)),y)) -> member(second(f28(u,cross_product(v,restrict(w,x)),y)),cross_product(x,universal_set))*. % 299.97/300.37 26148[0:Res:1280.1,547.0] || member(u,apply(cross_product(v,range_of(cross_product(w,x))),y)) -> member(second(f28(u,cross_product(v,range_of(cross_product(w,x))),y)),x)*. % 299.97/300.37 26146[0:Res:1280.1,560.0] || member(u,apply(cross_product(v,domain_of(cross_product(w,x))),y)) -> member(second(f28(u,cross_product(v,domain_of(cross_product(w,x))),y)),w)*. % 299.97/300.37 26881[0:MRR:26849.0,1545.1] || member(u,image(v,w)) disjoint(intersection(complement(x),complement(y)),v) -> member(first(f22(u,v,w)),union(x,y))*. % 299.97/300.37 26929[0:Res:1543.2,68.0] || member(u,image(v,w)) member(v,x)* member(sigma(x),y)* -> member(first(f22(u,v,w)),sigma(y))*. % 299.97/300.37 26928[0:Res:1543.2,98.0] || member(u,image(v,w)) member(v,x)* member(first(f22(u,v,w)),y)* disjoint(y,sigma(x))* -> . % 299.97/300.37 27051[0:Res:1549.1,4578.0] || member(u,image(cross_product(rotate_right(v),w),x)) equal(y,first(first(f22(u,cross_product(rotate_right(v),w),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.37 27049[0:Res:1549.1,4549.0] || member(u,image(cross_product(flip_range_of(v),w),x)) equal(y,first(first(f22(u,cross_product(flip_range_of(v),w),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.37 27047[0:Res:1549.1,43.0] || member(u,image(cross_product(cross_product(v,w),x),y)) -> member(second(first(first(f22(u,cross_product(cross_product(v,w),x),y)))),w)*. % 299.97/300.37 27046[0:Res:1549.1,42.0] || member(u,image(cross_product(cross_product(v,w),x),y)) -> member(first(first(first(f22(u,cross_product(cross_product(v,w),x),y)))),v)*. % 299.97/300.37 27041[0:Res:1549.1,68.0] || member(u,image(cross_product(v,w),x)) member(v,y) -> member(first(first(f22(u,cross_product(v,w),x))),sigma(y))*. % 299.97/300.37 27040[0:Res:1549.1,98.0] || member(u,image(cross_product(v,w),x)) member(first(first(f22(u,cross_product(v,w),x))),y)* disjoint(y,v) -> . % 299.97/300.37 27196[0:Res:1550.1,4578.0] || member(u,image(cross_product(v,rotate_right(w)),x)) equal(y,second(first(f22(u,cross_product(v,rotate_right(w)),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.37 27194[0:Res:1550.1,4549.0] || member(u,image(cross_product(v,flip_range_of(w)),x)) equal(y,second(first(f22(u,cross_product(v,flip_range_of(w)),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.37 27192[0:Res:1550.1,43.0] || member(u,image(cross_product(v,cross_product(w,x)),y)) -> member(second(second(first(f22(u,cross_product(v,cross_product(w,x)),y)))),x)*. % 299.97/300.37 27191[0:Res:1550.1,42.0] || member(u,image(cross_product(v,cross_product(w,x)),y)) -> member(first(second(first(f22(u,cross_product(v,cross_product(w,x)),y)))),w)*. % 299.97/300.37 27186[0:Res:1550.1,68.0] || member(u,image(cross_product(v,w),x)) member(w,y) -> member(second(first(f22(u,cross_product(v,w),x))),sigma(y))*. % 299.97/300.37 27185[0:Res:1550.1,98.0] || member(u,image(cross_product(v,w),x)) member(second(first(f22(u,cross_product(v,w),x))),y)* disjoint(y,w) -> . % 299.97/300.37 28032[0:Res:67.1,3653.2] || member(intersection(u,v),sigma(w)) member(x,v) member(x,u) -> member(x,sigma(f16(intersection(u,v),w)))*. % 299.97/300.37 28031[0:Res:21.1,3653.2] || member(intersection(u,v),first(w)) member(x,v) member(x,u) -> member(x,sigma(f4(intersection(u,v),w)))*. % 299.97/300.37 28030[0:Res:26.1,3653.2] || member(intersection(u,v),second(w)) member(x,v) member(x,u) -> member(x,sigma(f7(intersection(u,v),w)))*. % 299.97/300.37 28025[0:Res:35.2,3653.2] little_set(intersection(u,v)) || member(w,v)* member(w,u)* -> member(intersection(u,v),x)* member(w,sigma(complement(x)))*. % 299.97/300.37 28320[0:Res:67.1,3810.0] || member(f1(u,v),sigma(w)) disjoint(f16(f1(u,v),w),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.37 28319[0:Res:21.1,3810.0] || member(f1(u,v),first(w)) disjoint(f4(f1(u,v),w),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.37 28318[0:Res:26.1,3810.0] || member(f1(u,v),second(w)) disjoint(f7(f1(u,v),w),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.37 28351[0:MRR:28316.0,5.0] || disjoint(intersection(complement(u),complement(v)),w) -> member(f1(x,w),union(u,v))* equal(x,w) member(f1(x,w),x)*. % 299.97/300.37 28503[0:Res:100.1,3811.0] || -> disjoint(u,v) equal(w,f23(u,v)) member(f1(w,f23(u,v)),w)* member(f1(w,f23(u,v)),sigma(v))*. % 299.97/300.37 28435[0:Res:99.1,3811.0] || -> disjoint(u,v) equal(w,f23(u,v)) member(f1(w,f23(u,v)),w)* member(f1(w,f23(u,v)),sigma(u))*. % 299.97/300.37 28433[0:Res:71.1,3811.0] || -> subset(u,v) equal(w,f17(u,v)) member(f1(w,f17(u,v)),w)* member(f1(w,f17(u,v)),sigma(u))*. % 299.97/300.37 28411[0:Res:10.2,3811.0] little_set(u) || equal(u,v) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(non_ordered_pair(x,v)))*. % 299.97/300.37 28410[0:Res:9.2,3811.0] little_set(u) || equal(u,v) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(non_ordered_pair(v,x)))*. % 299.97/300.37 28692[0:Res:67.1,3828.0] || member(f1(u,v),sigma(w)) disjoint(f16(f1(u,v),w),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.37 28691[0:Res:21.1,3828.0] || member(f1(u,v),first(w)) disjoint(f4(f1(u,v),w),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.37 28690[0:Res:26.1,3828.0] || member(f1(u,v),second(w)) disjoint(f7(f1(u,v),w),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.37 28726[0:MRR:28688.0,5.0] || disjoint(intersection(complement(u),complement(v)),w) -> member(f1(w,x),union(u,v))* equal(w,x) member(f1(w,x),x)*. % 299.97/300.37 28880[0:Res:100.1,3829.0] || -> disjoint(u,v) equal(f23(u,v),w) member(f1(f23(u,v),w),w)* member(f1(f23(u,v),w),sigma(v))*. % 299.97/300.37 28812[0:Res:99.1,3829.0] || -> disjoint(u,v) equal(f23(u,v),w) member(f1(f23(u,v),w),w)* member(f1(f23(u,v),w),sigma(u))*. % 299.97/300.37 28810[0:Res:71.1,3829.0] || -> subset(u,v) equal(f17(u,v),w) member(f1(f17(u,v),w),w)* member(f1(f17(u,v),w),sigma(u))*. % 299.97/300.37 28788[0:Res:10.2,3829.0] little_set(u) || equal(u,v) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(non_ordered_pair(x,v)))*. % 299.97/300.37 28787[0:Res:9.2,3829.0] little_set(u) || equal(u,v) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(non_ordered_pair(v,x)))*. % 299.97/300.37 29425[2:SSi:29424.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(intersection(universal_set,universal_set)) || member(ordered_pair(w,v),universal_set)* -> equal(v,u)*. % 299.97/300.37 29660[3:SoR:6223.0,8205.2] little_set(u) || member(v,w) member(first(v),x) equal(u,second(v))* -> member(second(v),image(x,w))*. % 299.97/300.37 31419[0:Res:3824.2,34.1] || member(f1(u,intersection(complement(v),w)),v)* -> equal(u,intersection(complement(v),w)) member(f1(u,intersection(complement(v),w)),u)*. % 299.97/300.37 31397[0:Res:3824.2,70.0] || subset(u,v) -> equal(w,intersection(u,x)) member(f1(w,intersection(u,x)),w)* member(f1(w,intersection(u,x)),v)*. % 299.97/300.37 31361[0:Res:3824.1,34.1] || member(f1(complement(u),intersection(v,w)),u)* -> equal(complement(u),intersection(v,w)) member(f1(complement(u),intersection(v,w)),v)*. % 299.97/300.37 31339[0:Res:3824.1,70.0] || subset(u,v) -> equal(u,intersection(w,x)) member(f1(u,intersection(w,x)),w)* member(f1(u,intersection(w,x)),v)*. % 299.97/300.37 31629[0:Res:3825.2,34.1] || member(f1(u,intersection(v,complement(w))),w)* -> equal(u,intersection(v,complement(w))) member(f1(u,intersection(v,complement(w))),u)*. % 299.97/300.37 31607[0:Res:3825.2,70.0] || subset(u,v) -> equal(w,intersection(x,u)) member(f1(w,intersection(x,u)),w)* member(f1(w,intersection(x,u)),v)*. % 299.97/300.37 31571[0:Res:3825.1,34.1] || member(f1(complement(u),intersection(v,w)),u)* -> equal(complement(u),intersection(v,w)) member(f1(complement(u),intersection(v,w)),w)*. % 299.97/300.37 31549[0:Res:3825.1,70.0] || subset(u,v) -> equal(u,intersection(w,x)) member(f1(u,intersection(w,x)),x)* member(f1(u,intersection(w,x)),v)*. % 299.97/300.37 31812[0:Res:3842.2,34.1] || member(f1(intersection(complement(u),v),w),u)* -> equal(intersection(complement(u),v),w) member(f1(intersection(complement(u),v),w),w)*. % 299.97/300.37 31790[0:Res:3842.2,70.0] || subset(u,v) -> equal(intersection(u,w),x) member(f1(intersection(u,w),x),x)* member(f1(intersection(u,w),x),v)*. % 299.97/300.37 31754[0:Res:3842.1,34.1] || member(f1(intersection(u,v),complement(w)),w)* -> equal(intersection(u,v),complement(w)) member(f1(intersection(u,v),complement(w)),u)*. % 299.97/300.37 31732[0:Res:3842.1,70.0] || subset(u,v) -> equal(intersection(w,x),u) member(f1(intersection(w,x),u),w)* member(f1(intersection(w,x),u),v)*. % 299.97/300.37 31993[0:Res:3843.2,34.1] || member(f1(intersection(u,complement(v)),w),v)* -> equal(intersection(u,complement(v)),w) member(f1(intersection(u,complement(v)),w),w)*. % 299.97/300.37 31971[0:Res:3843.2,70.0] || subset(u,v) -> equal(intersection(w,u),x) member(f1(intersection(w,u),x),x)* member(f1(intersection(w,u),x),v)*. % 299.97/300.37 31935[0:Res:3843.1,34.1] || member(f1(intersection(u,v),complement(w)),w)* -> equal(intersection(u,v),complement(w)) member(f1(intersection(u,v),complement(w)),v)*. % 299.97/300.37 31913[0:Res:3843.1,70.0] || subset(u,v) -> equal(intersection(w,x),u) member(f1(intersection(w,x),u),x)* member(f1(intersection(w,x),u),v)*. % 299.97/300.37 32171[0:Res:1008.2,547.0] || member(u,range_of(v)) member(f27(u,v),converse(range_of(cross_product(w,x))))* -> member(ordered_pair(u,first(f27(u,v))),x)*. % 299.97/300.37 32169[0:Res:1008.2,560.0] || member(u,range_of(v)) member(f27(u,v),converse(domain_of(cross_product(w,x))))* -> member(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.37 32149[0:Res:1008.2,43.0] || member(u,range_of(v)) member(f27(u,v),converse(cross_product(w,x)))* -> member(second(ordered_pair(u,first(f27(u,v)))),x)*. % 299.97/300.37 32148[0:Res:1008.2,42.0] || member(u,range_of(v)) member(f27(u,v),converse(cross_product(w,x)))* -> member(first(ordered_pair(u,first(f27(u,v)))),w)*. % 299.97/300.37 32342[0:Res:1007.2,547.0] || member(u,domain_of(v)) member(f8(u,v),converse(range_of(cross_product(w,x))))* -> member(ordered_pair(second(f8(u,v)),u),x)*. % 299.97/300.37 32340[0:Res:1007.2,560.0] || member(u,domain_of(v)) member(f8(u,v),converse(domain_of(cross_product(w,x))))* -> member(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.37 32320[0:Res:1007.2,43.0] || member(u,domain_of(v)) member(f8(u,v),converse(cross_product(w,x)))* -> member(second(ordered_pair(second(f8(u,v)),u)),x)*. % 299.97/300.37 32319[0:Res:1007.2,42.0] || member(u,domain_of(v)) member(f8(u,v),converse(cross_product(w,x)))* -> member(first(ordered_pair(second(f8(u,v)),u)),w)*. % 299.97/300.37 32429[0:SSi:32420.0,371.0] || equal(ordered_pair(u,first(f27(u,v))),singleton_set(w))* member(u,range_of(v)) -> member(f27(u,v),converse(ordered_pair(w,x)))*. % 299.97/300.37 32511[0:SSi:32502.0,371.0] || equal(ordered_pair(second(f8(u,v)),u),singleton_set(w))* member(u,domain_of(v)) -> member(f8(u,v),converse(ordered_pair(w,x)))*. % 299.97/300.37 32813[0:Res:3836.2,1444.0] || -> equal(cross_product(u,singleton_set(v)),w) member(f1(cross_product(u,singleton_set(v)),w),w)* equal(second(f1(cross_product(u,singleton_set(v)),w)),v). % 299.97/300.37 32812[0:Res:3836.2,76.0] || -> equal(cross_product(u,powerset(v)),w) member(f1(cross_product(u,powerset(v)),w),w)* subset(second(f1(cross_product(u,powerset(v)),w)),v)*. % 299.97/300.37 32755[0:Res:3836.1,1444.0] || -> equal(cross_product(u,v),singleton_set(w)) member(second(f1(cross_product(u,v),singleton_set(w))),v)* equal(f1(cross_product(u,v),singleton_set(w)),w). % 299.97/300.37 32978[0:Res:3835.2,1444.0] || -> equal(cross_product(singleton_set(u),v),w) member(f1(cross_product(singleton_set(u),v),w),w)* equal(first(f1(cross_product(singleton_set(u),v),w)),u). % 299.97/300.37 32977[0:Res:3835.2,76.0] || -> equal(cross_product(powerset(u),v),w) member(f1(cross_product(powerset(u),v),w),w)* subset(first(f1(cross_product(powerset(u),v),w)),u)*. % 299.97/300.37 32920[0:Res:3835.1,1444.0] || -> equal(cross_product(u,v),singleton_set(w)) member(first(f1(cross_product(u,v),singleton_set(w))),u)* equal(f1(cross_product(u,v),singleton_set(w)),w). % 299.97/300.37 33149[0:Res:3818.2,1444.0] || -> equal(u,cross_product(v,singleton_set(w))) member(f1(u,cross_product(v,singleton_set(w))),u)* equal(second(f1(u,cross_product(v,singleton_set(w)))),w). % 299.97/300.37 33148[0:Res:3818.2,76.0] || -> equal(u,cross_product(v,powerset(w))) member(f1(u,cross_product(v,powerset(w))),u)* subset(second(f1(u,cross_product(v,powerset(w)))),w)*. % 299.97/300.37 33091[0:Res:3818.1,1444.0] || -> equal(singleton_set(u),cross_product(v,w)) member(second(f1(singleton_set(u),cross_product(v,w))),w)* equal(f1(singleton_set(u),cross_product(v,w)),u). % 299.97/300.37 33315[0:Res:3817.2,1444.0] || -> equal(u,cross_product(singleton_set(v),w)) member(f1(u,cross_product(singleton_set(v),w)),u)* equal(first(f1(u,cross_product(singleton_set(v),w))),v). % 299.97/300.37 33314[0:Res:3817.2,76.0] || -> equal(u,cross_product(powerset(v),w)) member(f1(u,cross_product(powerset(v),w)),u)* subset(first(f1(u,cross_product(powerset(v),w))),v)*. % 299.97/300.37 33257[0:Res:3817.1,1444.0] || -> equal(singleton_set(u),cross_product(v,w)) member(first(f1(singleton_set(u),cross_product(v,w))),v)* equal(f1(singleton_set(u),cross_product(v,w)),u). % 299.97/300.37 33701[3:SpL:375.0,6224.3] little_set(f2(u)) single_valued_set(v) || member(u,v) member(singleton_set(singleton_set(f2(u))),v)* -> equal(f3(u),f2(u)). % 299.97/300.37 33732[3:SSi:33710.0,371.0] little_set(u) single_valued_set(singleton_set(v)) || equal(ordered_pair(f2(w),u),v)* member(w,singleton_set(v))* -> equal(u,f3(w)). % 299.97/300.37 33733[3:SSi:33709.0,371.0] little_set(u) single_valued_set(powerset(v)) || subset(ordered_pair(f2(w),u),v)* member(w,powerset(v)) -> equal(u,f3(w)). % 299.97/300.37 34260[7:Res:26333.1,1437.0] || subset(universal_set,range_of(non_ordered_pair(u,v))) -> equal(f27(sigma(infinity),non_ordered_pair(u,v)),v)** equal(f27(sigma(infinity),non_ordered_pair(u,v)),u)**. % 299.97/300.37 34427[7:Res:26333.1,1438.0] || subset(universal_set,sigma(non_ordered_pair(u,v))) -> equal(f16(sigma(infinity),non_ordered_pair(u,v)),v)** equal(f16(sigma(infinity),non_ordered_pair(u,v)),u)**. % 299.97/300.37 34597[7:Res:26333.1,1439.0] || subset(universal_set,domain_of(non_ordered_pair(u,v))) -> equal(f8(sigma(infinity),non_ordered_pair(u,v)),v)** equal(f8(sigma(infinity),non_ordered_pair(u,v)),u)**. % 299.97/300.37 34778[0:MRR:34753.0,213.1] || member(f17(u,intersection(v,complement(w))),v)* -> member(f17(u,intersection(v,complement(w))),w)* subset(u,intersection(v,complement(w))). % 299.97/300.37 34854[0:MRR:34837.0,5.0] || equal(f1(complement(u),non_ordered_pair(v,w)),w) -> member(f1(complement(u),non_ordered_pair(v,w)),u)* equal(complement(u),non_ordered_pair(v,w)). % 299.97/300.37 34922[0:MRR:34905.0,5.0] || equal(f1(complement(u),non_ordered_pair(v,w)),v) -> member(f1(complement(u),non_ordered_pair(v,w)),u)* equal(complement(u),non_ordered_pair(v,w)). % 299.97/300.37 35026[7:Res:26830.1,5025.1] || disjoint(universal_set,complement(f29(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(sigma(infinity),first(x))*. % 299.97/300.37 35025[7:Res:26831.1,5025.1] || disjoint(complement(f29(u,v,w)),universal_set)* member(u,compose(v,w)) equal(x,u)* -> member(sigma(infinity),first(x))*. % 299.97/300.37 35024[7:Res:33376.1,5025.1] || member(universal_set,powerset(f29(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(sigma(infinity),first(x))*. % 299.97/300.37 35196[7:Res:26830.1,5066.1] || disjoint(universal_set,complement(f30(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(sigma(infinity),second(x))*. % 299.97/300.37 35195[7:Res:26831.1,5066.1] || disjoint(complement(f30(u,v,w)),universal_set)* member(u,compose(v,w)) equal(x,u)* -> member(sigma(infinity),second(x))*. % 299.97/300.37 35194[7:Res:33376.1,5066.1] || member(universal_set,powerset(f30(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(sigma(infinity),second(x))*. % 299.97/300.37 35361[0:Res:4273.2,282.0] || member(u,compose(v,w)) subset(w,restrict(x,y))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.37 35359[0:Res:4273.2,15955.0] || member(u,compose(v,w)) subset(w,sigma(powerset(x))) -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.37 35355[0:Res:4273.2,32.0] || member(u,compose(v,w)) subset(w,intersection(x,y))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),y)*. % 299.97/300.37 35354[0:Res:4273.2,31.0] || member(u,compose(v,w)) subset(w,intersection(x,y))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.37 35343[0:Res:4273.2,10964.0] || member(u,compose(v,w)) subset(w,complement(complement(x))) -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.37 35342[0:Res:4273.2,34.1] || member(u,compose(v,w)) subset(w,complement(x)) member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)* -> . % 299.97/300.37 35339[6:Res:4273.2,10857.1] || member(u,compose(v,w)) subset(w,infinity) equal(successor(ordered_pair(f31(u,v,w),f30(u,v,w))),universal_set)** -> . % 299.97/300.37 35481[0:Res:4348.2,282.0] || member(u,compose(v,w)) subset(v,restrict(x,y))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.37 35479[0:Res:4348.2,15955.0] || member(u,compose(v,w)) subset(v,sigma(powerset(x))) -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.37 35475[0:Res:4348.2,32.0] || member(u,compose(v,w)) subset(v,intersection(x,y))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),y)*. % 299.97/300.37 35474[0:Res:4348.2,31.0] || member(u,compose(v,w)) subset(v,intersection(x,y))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.37 35463[0:Res:4348.2,10964.0] || member(u,compose(v,w)) subset(v,complement(complement(x))) -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.37 35462[0:Res:4348.2,34.1] || member(u,compose(v,w)) subset(v,complement(x)) member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)* -> . % 299.97/300.37 35459[6:Res:4348.2,10857.1] || member(u,compose(v,w)) subset(v,infinity) equal(successor(ordered_pair(f29(u,v,w),f31(u,v,w))),universal_set)** -> . % 299.97/300.37 35563[2:Res:4112.2,15721.1] ordered_pair_predicate(set_a) || member(ordered_pair(second(set_a),first(set_a)),sigma(u)) disjoint(universal_set,converse(f16(ordered_pair(second(set_a),first(set_a)),u)))* -> . % 299.97/300.37 35561[2:Res:4112.2,15679.1] ordered_pair_predicate(set_b) || member(ordered_pair(second(set_b),first(set_b)),sigma(u)) disjoint(universal_set,converse(f16(ordered_pair(second(set_b),first(set_b)),u)))* -> . % 299.97/300.37 35547[0:Res:4112.2,1238.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),sigma(v)) disjoint(converse(f16(ordered_pair(second(u),first(u)),v)),universal_set)* -> . % 299.97/300.37 35722[2:Res:4111.2,15721.1] ordered_pair_predicate(set_a) || member(ordered_pair(second(set_a),first(set_a)),first(u)) disjoint(universal_set,converse(f4(ordered_pair(second(set_a),first(set_a)),u)))* -> . % 299.97/300.37 35720[2:Res:4111.2,15679.1] ordered_pair_predicate(set_b) || member(ordered_pair(second(set_b),first(set_b)),first(u)) disjoint(universal_set,converse(f4(ordered_pair(second(set_b),first(set_b)),u)))* -> . % 299.97/300.37 35706[0:Res:4111.2,1238.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),first(v)) disjoint(converse(f4(ordered_pair(second(u),first(u)),v)),universal_set)* -> . % 299.97/300.37 35941[2:Res:4110.2,15721.1] ordered_pair_predicate(set_a) || member(ordered_pair(second(set_a),first(set_a)),second(u)) disjoint(universal_set,converse(f7(ordered_pair(second(set_a),first(set_a)),u)))* -> . % 299.97/300.37 35939[2:Res:4110.2,15679.1] ordered_pair_predicate(set_b) || member(ordered_pair(second(set_b),first(set_b)),second(u)) disjoint(universal_set,converse(f7(ordered_pair(second(set_b),first(set_b)),u)))* -> . % 299.97/300.37 35925[0:Res:4110.2,1238.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),second(v)) disjoint(converse(f7(ordered_pair(second(u),first(u)),v)),universal_set)* -> . % 299.97/300.37 36303[0:Res:13861.1,4458.3] ordered_pair_predicate(u) || disjoint(v,cross_product(w,x))* member(second(u),x)* member(first(u),w)* -> member(u,complement(v))*. % 299.97/300.37 36361[0:MRR:36333.0,487.1] little_set(u) || equal(f8(v,w),x)* member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(singleton_set(x)))*. % 299.97/300.37 36362[0:MRR:36332.0,487.1] little_set(u) || subset(f8(v,w),x)* member(v,domain_of(w)) equal(u,v)* -> member(u,domain_of(powerset(x)))*. % 299.97/300.37 36522[0:MRR:36494.0,420.1] little_set(u) || equal(f27(v,w),x)* member(v,range_of(w))* equal(u,v)* -> member(u,range_of(singleton_set(x)))*. % 299.97/300.37 36523[0:MRR:36493.0,420.1] little_set(u) || subset(f27(v,w),x)* member(v,range_of(w)) equal(u,v)* -> member(u,range_of(powerset(x)))*. % 299.97/300.37 36594[2:Res:4622.2,25810.0] || member(u,flip_range_of(v)) subset(v,image(w,cross_product(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)))* -> . % 299.97/300.37 36592[2:Res:4622.2,25950.0] || member(u,flip_range_of(v)) subset(v,image(restrict(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w),x))* -> . % 299.97/300.37 36591[2:Res:4622.2,26103.0] || member(u,flip_range_of(v)) subset(v,image(intersection(w,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),x))* -> . % 299.97/300.37 36590[2:Res:4622.2,25946.0] || member(u,flip_range_of(v)) subset(v,image(intersection(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w),x))* -> . % 299.97/300.37 36569[0:Res:4622.2,1444.0] || member(u,flip_range_of(v)) subset(v,singleton_set(w))* -> equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.37 36568[0:Res:4622.2,76.0] || member(u,flip_range_of(v)) subset(v,powerset(w)) -> subset(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.37 37022[2:Res:4770.2,25810.0] || member(u,rotate_right(v)) subset(v,image(w,cross_product(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)))* -> . % 299.97/300.37 37020[2:Res:4770.2,25950.0] || member(u,rotate_right(v)) subset(v,image(restrict(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w),x))* -> . % 299.97/300.37 37019[2:Res:4770.2,26103.0] || member(u,rotate_right(v)) subset(v,image(intersection(w,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),x))* -> . % 299.97/300.37 37018[2:Res:4770.2,25946.0] || member(u,rotate_right(v)) subset(v,image(intersection(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w),x))* -> . % 299.97/300.37 36997[0:Res:4770.2,1444.0] || member(u,rotate_right(v)) subset(v,singleton_set(w))* -> equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.37 36996[0:Res:4770.2,76.0] || member(u,rotate_right(v)) subset(v,powerset(w)) -> subset(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.37 38164[0:SSi:38140.0,371.0] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),x)* member(u,compose(v,w)) disjoint(singleton_set(x),w)* -> . % 299.97/300.37 38165[0:SSi:38139.0,371.0] || subset(ordered_pair(f31(u,v,w),f30(u,v,w)),x)* member(u,compose(v,w)) disjoint(powerset(x),w) -> . % 299.97/300.37 38283[0:SSi:38259.0,371.0] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),x)* member(u,compose(v,w)) disjoint(singleton_set(x),v)* -> . % 299.97/300.37 38284[0:SSi:38258.0,371.0] || subset(ordered_pair(f29(u,v,w),f31(u,v,w)),x)* member(u,compose(v,w)) disjoint(powerset(x),v) -> . % 299.97/300.37 38397[0:MRR:38369.0,1275.1] || equal(f28(u,v,w),x)* member(u,apply(v,w))* equal(w,y)* -> member(u,apply(singleton_set(x),y))*. % 299.97/300.37 38398[0:MRR:38368.0,1275.1] || subset(f28(u,v,w),x)* member(u,apply(v,w)) equal(w,y)* -> member(u,apply(powerset(x),y))*. % 299.97/300.37 39066[3:Res:1080.2,20705.0] little_set(complement(sigma(ordered_pair(u,v)))) || equal(complement(sigma(ordered_pair(u,v))),non_ordered_pair(u,v)) -> member(infinity,sigma(ordered_pair(u,v)))*. % 299.97/300.37 39169[0:Res:4621.2,15955.0] || member(u,flip_range_of(v)) member(v,powerset(w)) -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.37 39233[0:SSi:39210.0,371.0,371.0] || member(u,flip_range_of(v)) disjoint(complement(w),v) -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.37 39633[0:Res:4769.2,15955.0] || member(u,rotate_right(v)) member(v,powerset(w)) -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.37 39753[0:SSi:39730.0,371.0,371.0] || member(u,rotate_right(v)) disjoint(complement(w),v) -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.37 40165[0:Res:1103.2,5068.1] little_set(u) || equal(u,singleton_set(f10(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> member(u,second(x))*. % 299.97/300.37 40345[0:Res:1103.2,5070.1] little_set(u) || equal(u,singleton_set(f13(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> member(u,second(x))*. % 299.97/300.37 40673[3:Res:25246.0,6192.1] || member(u,v) equal(first(u),w) -> equal(complement(second(u)),universal_set) member(f1(universal_set,complement(second(u))),apply(v,w))*. % 299.97/300.37 40742[2:Res:1468.2,20934.0] || member(u,image(v,w)) member(f22(u,v,w),converse(range_of(cross_product(ordered_pair(u,first(f22(u,v,w))),x))))* -> . % 299.97/300.37 40888[2:Res:1464.2,20934.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(range_of(cross_product(ordered_pair(second(f28(u,v,w)),w),x))))* -> . % 299.97/300.37 42343[0:Res:4279.1,4.0] || member(u,compose(v,cross_product(w,x))) -> little_set(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))))*. % 299.97/300.37 42338[3:Res:4279.1,6160.0] || member(u,compose(v,cross_product(w,x))) -> ordered_pair_predicate(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))))*. % 299.97/300.37 42454[0:Res:4278.1,4.0] || member(u,compose(v,cross_product(w,x))) -> little_set(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))))*. % 299.97/300.37 42449[3:Res:4278.1,6160.0] || member(u,compose(v,cross_product(w,x))) -> ordered_pair_predicate(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))))*. % 299.97/300.37 42601[0:Res:4354.1,4.0] || member(u,compose(cross_product(v,w),x)) -> little_set(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))))*. % 299.97/300.37 42596[3:Res:4354.1,6160.0] || member(u,compose(cross_product(v,w),x)) -> ordered_pair_predicate(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))))*. % 299.97/300.37 42743[0:Res:4353.1,4.0] || member(u,compose(cross_product(v,w),x)) -> little_set(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))))*. % 299.97/300.37 42738[3:Res:4353.1,6160.0] || member(u,compose(cross_product(v,w),x)) -> ordered_pair_predicate(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))))*. % 299.97/300.37 43438[3:SSi:43380.0,63.0,15957.0] || member(ordered_pair(second(infinity),first(infinity)),apply(u,v)) disjoint(universal_set,converse(second(f28(ordered_pair(second(infinity),first(infinity)),u,v))))* -> . % 299.97/300.37 43441[3:SSi:43368.0,159.0,991.0] || member(ordered_pair(second(a),first(a)),apply(u,v)) disjoint(converse(second(f28(ordered_pair(second(a),first(a)),u,v))),set_a)* -> . % 299.97/300.37 43540[3:Res:5356.4,6160.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* -> ordered_pair_predicate(ordered_pair(w,ordered_pair(v,u))). % 299.97/300.37 43563[0:MRR:43536.0,43536.1,43536.2,50.1,49.1,48.1] || member(u,rotate_right(v)) member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)* -> member(u,rotate_right(w)). % 299.97/300.37 43564[0:MRR:43535.0,43535.1,43535.2,56.1,55.1,54.1] || member(u,flip_range_of(v)) member(ordered_pair(f13(u,v),ordered_pair(f14(u,v),f12(u,v))),w)* -> member(u,rotate_right(w)). % 299.97/300.37 43662[14:Res:42571.1,5066.1] || subset(universal_set,f30(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(ordered_pair(universal_set,y),second(x))*. % 299.97/300.37 43661[14:Res:42571.1,5025.1] || subset(universal_set,f29(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(ordered_pair(universal_set,y),first(x))*. % 299.97/300.37 43705[3:Res:6051.4,6160.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x)* -> ordered_pair_predicate(ordered_pair(w,ordered_pair(v,u))). % 299.97/300.37 43729[0:MRR:43701.0,43701.1,43701.2,50.1,49.1,48.1] || member(u,rotate_right(v)) member(ordered_pair(f9(u,v),ordered_pair(f11(u,v),f10(u,v))),w)* -> member(u,flip_range_of(w)). % 299.97/300.37 43730[0:MRR:43700.0,43700.1,43700.2,56.1,55.1,54.1] || member(u,flip_range_of(v)) member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)* -> member(u,flip_range_of(w)). % 299.97/300.37 47368[0:Res:3837.1,1238.0] || disjoint(u,universal_set) -> equal(non_ordered_pair(v,w),u) equal(f1(non_ordered_pair(v,w),u),w)** equal(f1(non_ordered_pair(v,w),u),v)**. % 299.97/300.37 47813[0:Res:3819.1,1238.0] || disjoint(u,universal_set) -> equal(u,non_ordered_pair(v,w)) equal(f1(u,non_ordered_pair(v,w)),w)** equal(f1(u,non_ordered_pair(v,w)),v)**. % 299.97/300.37 55447[16:Rew:54986.0,48662.3] || member(ordered_pair(non_ordered_pair(u,v),u),w)* disjoint(w,f25) -> equal(f26(non_ordered_pair(u,v)),v) equal(non_ordered_pair(u,v),a). % 299.97/300.37 55448[16:Rew:54986.0,48661.3] || member(ordered_pair(non_ordered_pair(u,v),v),w)* disjoint(w,f25) -> equal(f26(non_ordered_pair(u,v)),u) equal(non_ordered_pair(u,v),a). % 299.97/300.37 59619[16:Rew:54986.0,55671.1] || member(ordered_pair(second(a),first(a)),apply(u,v)) disjoint(converse(second(f28(ordered_pair(second(a),first(a)),u,v))),infinity)* -> . % 299.97/300.37 59620[16:Rew:54986.0,55672.1] || member(ordered_pair(second(a),first(a)),apply(u,v)) disjoint(universal_set,converse(second(f28(ordered_pair(second(a),first(a)),u,v))))* -> . % 299.97/300.37 59621[16:Rew:54986.0,55673.1] || member(ordered_pair(second(a),first(a)),apply(u,v)) disjoint(converse(second(f28(ordered_pair(second(a),first(a)),u,v))),set_b)* -> . % 299.97/300.37 55747[16:Rew:54986.0,49796.3] little_set(first(u)) little_set(second(u)) || member(u,converse(f25))* -> equal(second(u),a) equal(f26(second(u)),first(u)). % 299.97/300.37 55748[16:Rew:54986.0,49795.3] little_set(first(u)) little_set(second(u)) || -> member(u,converse(complement(f25)))* equal(second(u),a) equal(f26(second(u)),first(u)). % 299.97/300.37 55749[16:Rew:54986.0,49791.2] || member(u,v) equal(first(u),singleton_set(singleton_set(w))) -> equal(second(u),a) member(f24(second(u)),apply_to_two_arguments(v,w,w))*. % 299.97/300.37 55750[16:Rew:54986.0,49790.2] || member(u,v) equal(first(u),ordered_pair(w,x)) -> equal(second(u),a) member(f24(second(u)),apply_to_two_arguments(v,w,x))*. % 299.97/300.37 55952[16:Rew:54986.0,49022.3] || subset(u,second(v))* member(v,w)* equal(first(v),x)* -> equal(u,a) member(f24(u),apply(w,x))*. % 299.97/300.37 55953[16:Rew:54986.0,48922.2] little_set(u) || subset(u,converse(cross_product(v,w)))* -> equal(u,a) member(first(ordered_pair(second(f26(u)),first(f26(u)))),v)*. % 299.97/300.37 55954[16:Rew:54986.0,48920.2] little_set(u) || subset(u,converse(cross_product(v,w)))* -> equal(u,a) member(second(ordered_pair(second(f26(u)),first(f26(u)))),w)*. % 299.97/300.37 55955[16:Rew:54986.0,48902.2] little_set(u) || subset(u,ordered_pair(v,w))* -> equal(u,a) equal(f26(u),non_ordered_pair(v,w)) equal(f26(u),singleton_set(v)). % 299.97/300.37 55956[16:Rew:54986.0,48874.3] little_set(u) || subset(f25,intersection(complement(v),complement(w))) member(ordered_pair(u,f26(u)),union(v,w))* -> equal(u,a). % 299.97/300.37 55957[16:Rew:54986.0,48873.2] little_set(u) || subset(f25,converse(v))* -> equal(u,a) ordered_pair_predicate(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))))*. % 299.97/300.37 55958[16:Rew:54986.0,48860.4] little_set(u) ordered_pair_predicate(v) || subset(u,f2(v))* equal(w,v)* -> equal(u,a) member(f26(u),first(w))*. % 299.97/300.37 55959[16:Rew:54986.0,48858.4] little_set(u) ordered_pair_predicate(v) || subset(u,f3(v))* equal(w,v)* -> equal(u,a) member(f26(u),second(w))*. % 299.97/300.37 55960[16:Rew:54986.0,48849.3] little_set(u) || member(ordered_pair(u,f26(u)),sigma(v)) disjoint(f16(ordered_pair(u,f26(u)),v),f25)* -> equal(u,a). % 299.97/300.37 55961[16:Rew:54986.0,48848.3] little_set(u) || member(ordered_pair(u,f26(u)),first(v)) disjoint(f4(ordered_pair(u,f26(u)),v),f25)* -> equal(u,a). % 299.97/300.37 55962[16:Rew:54986.0,48847.3] little_set(u) || member(ordered_pair(u,f26(u)),second(v)) disjoint(f7(ordered_pair(u,f26(u)),v),f25)* -> equal(u,a). % 299.97/300.37 59622[16:Rew:54986.0,55964.3,54986.0,55964.2,54986.0,55964.1] || -> equal(u,a) equal(v,f1(u,a)) member(f1(v,f1(u,a)),v)* member(f1(v,f1(u,a)),sigma(u))*. % 299.97/300.37 55965[16:Rew:54986.0,48805.1] little_set(u) || -> equal(u,a) equal(v,f26(u)) member(f1(v,f26(u)),v)* member(f1(v,f26(u)),sigma(u))*. % 299.97/300.37 59623[16:Rew:54986.0,55967.3,54986.0,55967.2,54986.0,55967.1] || -> equal(u,a) equal(f1(u,a),v) member(f1(f1(u,a),v),v)* member(f1(f1(u,a),v),sigma(u))*. % 299.97/300.37 55968[16:Rew:54986.0,48790.1] little_set(u) || -> equal(u,a) equal(f26(u),v) member(f1(f26(u),v),v)* member(f1(f26(u),v),sigma(u))*. % 299.97/300.37 55969[16:Rew:54986.0,48781.3] || subset(u,f4(v,w))* member(v,first(w)) equal(x,w)* -> equal(u,a) member(f24(u),first(x))*. % 299.97/300.37 55970[16:Rew:54986.0,48778.3] || subset(u,f6(v,w))* member(v,second(w)) equal(x,w)* -> equal(u,a) member(f24(u),first(x))*. % 299.97/300.37 55971[16:Rew:54986.0,48775.3] || subset(u,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> equal(u,a) member(f24(u),first(x))*. % 299.97/300.37 55972[16:Rew:54986.0,48772.3] || subset(u,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> equal(u,a) member(f24(u),first(x))*. % 299.97/300.37 55973[16:Rew:54986.0,48769.3] || subset(u,f5(v,w))* member(v,first(w)) equal(x,w)* -> equal(u,a) member(f24(u),second(x))*. % 299.97/300.37 55974[16:Rew:54986.0,48766.3] || subset(u,f7(v,w))* member(v,second(w)) equal(x,w)* -> equal(u,a) member(f24(u),second(x))*. % 299.97/300.37 59624[16:Rew:54986.0,56206.3,54986.0,56206.2,54986.0,56206.1] || -> equal(a,u) equal(v,f1(a,u)) member(f1(v,f1(a,u)),v)* member(f1(v,f1(a,u)),sigma(u))*. % 299.97/300.37 59625[16:Rew:54986.0,56207.3,54986.0,56207.2,54986.0,56207.1] || -> equal(a,u) equal(f1(a,u),v) member(f1(f1(a,u),v),v)* member(f1(f1(a,u),v),sigma(u))*. % 299.97/300.37 56623[16:Rew:54986.0,49636.3] || disjoint(universal_set,complement(f29(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(singleton_set(a),first(x))*. % 299.97/300.37 56624[16:Rew:54986.0,49635.3] || disjoint(complement(f29(u,v,w)),universal_set)* member(u,compose(v,w)) equal(x,u)* -> member(singleton_set(a),first(x))*. % 299.97/300.37 56625[16:Rew:54986.0,49634.3] || member(universal_set,powerset(f29(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(singleton_set(a),first(x))*. % 299.97/300.37 56627[16:Rew:54986.0,49640.3] || disjoint(universal_set,complement(f30(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(singleton_set(a),second(x))*. % 299.97/300.37 56628[16:Rew:54986.0,49639.3] || disjoint(complement(f30(u,v,w)),universal_set)* member(u,compose(v,w)) equal(x,u)* -> member(singleton_set(a),second(x))*. % 299.97/300.37 56629[16:Rew:54986.0,49638.3] || member(universal_set,powerset(f30(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(singleton_set(a),second(x))*. % 299.97/300.37 59626[16:Rew:54986.0,56634.2] || subset(universal_set,range_of(non_ordered_pair(u,v))) -> equal(f27(singleton_set(a),non_ordered_pair(u,v)),v)** equal(f27(singleton_set(a),non_ordered_pair(u,v)),u)**. % 299.97/300.37 59627[16:Rew:54986.0,56638.2] || subset(universal_set,sigma(non_ordered_pair(u,v))) -> equal(f16(singleton_set(a),non_ordered_pair(u,v)),v)** equal(f16(singleton_set(a),non_ordered_pair(u,v)),u)**. % 299.97/300.37 59628[16:Rew:54986.0,56642.2] || subset(universal_set,domain_of(non_ordered_pair(u,v))) -> equal(f8(singleton_set(a),non_ordered_pair(u,v)),v)** equal(f8(singleton_set(a),non_ordered_pair(u,v)),u)**. % 299.97/300.37 56968[16:Rew:54986.0,50554.3] || disjoint(universal_set,complement(f29(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(powerset(a),first(x))*. % 299.97/300.37 56969[16:Rew:54986.0,50553.3] || disjoint(complement(f29(u,v,w)),universal_set)* member(u,compose(v,w)) equal(x,u)* -> member(powerset(a),first(x))*. % 299.97/300.37 56970[16:Rew:54986.0,50552.3] || member(universal_set,powerset(f29(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(powerset(a),first(x))*. % 299.97/300.37 56972[16:Rew:54986.0,50558.3] || disjoint(universal_set,complement(f30(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(powerset(a),second(x))*. % 299.97/300.37 56973[16:Rew:54986.0,50557.3] || disjoint(complement(f30(u,v,w)),universal_set)* member(u,compose(v,w)) equal(x,u)* -> member(powerset(a),second(x))*. % 299.97/300.37 56974[16:Rew:54986.0,50556.3] || member(universal_set,powerset(f30(u,v,w)))* member(u,compose(v,w)) equal(x,u)* -> member(powerset(a),second(x))*. % 299.97/300.37 59629[16:Rew:54986.0,56981.2] || subset(universal_set,range_of(non_ordered_pair(u,v))) -> equal(f27(powerset(a),non_ordered_pair(u,v)),v)** equal(f27(powerset(a),non_ordered_pair(u,v)),u)**. % 299.97/300.37 59630[16:Rew:54986.0,56985.2] || subset(universal_set,sigma(non_ordered_pair(u,v))) -> equal(f16(powerset(a),non_ordered_pair(u,v)),v)** equal(f16(powerset(a),non_ordered_pair(u,v)),u)**. % 299.97/300.37 59631[16:Rew:54986.0,56989.2] || subset(universal_set,domain_of(non_ordered_pair(u,v))) -> equal(f8(powerset(a),non_ordered_pair(u,v)),v)** equal(f8(powerset(a),non_ordered_pair(u,v)),u)**. % 299.97/300.37 59633[16:Rew:54986.0,57177.2,54986.0,57177.1] || -> equal(ordered_pair(powerset(a),a),u) member(f1(ordered_pair(powerset(a),a),u),u)* member(f1(ordered_pair(powerset(a),a),u),sigma(f25))*. % 299.97/300.37 57223[16:Rew:54986.0,50668.2] || subset(f25,converse(u))* member(u,v)* -> member(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),sigma(v))*. % 299.97/300.37 57224[16:Rew:54986.0,50667.2] || subset(universal_set,converse(u))* member(u,v)* -> member(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),sigma(v))*. % 299.97/300.37 59635[16:Rew:54986.0,57276.2,54986.0,57276.1] || -> equal(u,ordered_pair(powerset(a),a)) member(f1(u,ordered_pair(powerset(a),a)),u)* member(f1(u,ordered_pair(powerset(a),a)),sigma(f25))*. % 299.97/300.37 57382[16:Rew:54986.0,50088.2] little_set(converse(u)) || subset(u,v) -> equal(converse(u),a) member(ordered_pair(second(f26(converse(u))),first(f26(converse(u)))),v)*. % 299.97/300.37 59636[16:Rew:54986.0,57500.2,54986.0,57500.1] || member(f1(union(u,a),v),intersection(complement(u),universal_set))* -> equal(union(u,a),v) member(f1(union(u,a),v),v)*. % 299.97/300.37 59637[16:Rew:54986.0,57618.2,54986.0,57618.1] || member(f1(union(a,u),v),intersection(universal_set,complement(u)))* -> equal(union(a,u),v) member(f1(union(a,u),v),v)*. % 299.97/300.37 59638[16:Rew:54986.0,57764.1,54986.0,57764.0] || member(f1(u,union(v,a)),intersection(complement(v),universal_set))* -> equal(u,union(v,a)) member(f1(u,union(v,a)),u)*. % 299.97/300.37 59639[16:Rew:54986.0,57765.2,54986.0,57765.1] || member(f1(u,union(v,a)),u)* -> member(f1(u,union(v,a)),intersection(complement(v),universal_set))* equal(u,union(v,a)). % 299.97/300.37 59640[16:Rew:54986.0,57792.1,54986.0,57792.0] || member(f1(u,union(a,v)),intersection(universal_set,complement(v)))* -> equal(u,union(a,v)) member(f1(u,union(a,v)),u)*. % 299.97/300.37 59641[16:Rew:54986.0,57793.2,54986.0,57793.1] || member(f1(u,union(a,v)),u)* -> member(f1(u,union(a,v)),intersection(universal_set,complement(v)))* equal(u,union(a,v)). % 299.97/300.37 58075[16:Rew:54986.0,50615.2] || member(u,converse(ordered_pair(universal_set,v)))* -> equal(ordered_pair(second(u),first(u)),non_ordered_pair(universal_set,v))* equal(ordered_pair(second(u),first(u)),a). % 299.97/300.37 58305[16:Rew:54986.0,50968.2] || member(f25,u) -> equal(f26(non_ordered_pair(v,w)),w) equal(non_ordered_pair(v,w),a) member(ordered_pair(non_ordered_pair(v,w),v),sigma(u))*. % 299.97/300.37 58306[16:Rew:54986.0,50967.2] || member(f25,u) -> equal(f26(non_ordered_pair(v,w)),v) equal(non_ordered_pair(v,w),a) member(ordered_pair(non_ordered_pair(v,w),w),sigma(u))*. % 299.97/300.37 59642[16:Rew:54986.0,58442.1] || -> equal(converse(intersection(u,v)),a) member(ordered_pair(second(f1(a,converse(intersection(u,v)))),first(f1(a,converse(intersection(u,v))))),u)*. % 299.97/300.37 59643[16:Rew:54986.0,58443.1] || -> equal(converse(intersection(u,v)),a) member(ordered_pair(second(f1(converse(intersection(u,v)),a)),first(f1(converse(intersection(u,v)),a))),u)*. % 299.97/300.37 59644[16:Rew:54986.0,58444.1] || -> equal(converse(intersection(u,v)),a) member(ordered_pair(second(f1(a,converse(intersection(u,v)))),first(f1(a,converse(intersection(u,v))))),v)*. % 299.97/300.37 59645[16:Rew:54986.0,58445.1] || -> equal(converse(intersection(u,v)),a) member(ordered_pair(second(f1(converse(intersection(u,v)),a)),first(f1(converse(intersection(u,v)),a))),v)*. % 299.97/300.37 58532[16:Rew:54986.0,49319.0] || -> equal(complement(complement(non_ordered_pair(u,v))),a) equal(f24(complement(complement(non_ordered_pair(u,v)))),v)** equal(f24(complement(complement(non_ordered_pair(u,v)))),u)**. % 299.97/300.37 58533[16:Rew:54986.0,50117.0] || -> equal(intersection(non_ordered_pair(u,v),w),a) equal(f24(intersection(non_ordered_pair(u,v),w)),v)** equal(f24(intersection(non_ordered_pair(u,v),w)),u)**. % 299.97/300.37 58534[16:Rew:54986.0,50133.0] || -> equal(intersection(u,non_ordered_pair(v,w)),a) equal(f24(intersection(u,non_ordered_pair(v,w))),w)** equal(f24(intersection(u,non_ordered_pair(v,w))),v)**. % 299.97/300.37 58535[16:Rew:54986.0,50916.1] || member(first(f24(cross_product(intersection(complement(u),complement(v)),w))),union(u,v))* -> equal(cross_product(intersection(complement(u),complement(v)),w),a). % 299.97/300.37 58536[16:Rew:54986.0,50917.1] || member(second(f24(cross_product(u,intersection(complement(v),complement(w))))),union(v,w))* -> equal(cross_product(u,intersection(complement(v),complement(w))),a). % 299.97/300.37 58540[16:Rew:54986.0,51228.1] || member(u,apply(v,w)) -> equal(singleton_set(second(f28(u,v,w))),a) member(u,sigma(singleton_set(second(f28(u,v,w)))))*. % 299.97/300.37 58541[16:Rew:54986.0,51227.2] || member(u,apply(v,w)) member(u,singleton_set(second(f28(u,v,w))))* -> equal(singleton_set(second(f28(u,v,w))),a). % 299.97/300.37 58542[16:Rew:54986.0,51231.2] || member(u,image(v,w)) disjoint(singleton_set(first(f22(u,v,w))),v)* -> equal(singleton_set(first(f22(u,v,w))),a). % 299.97/300.37 58544[16:Rew:54986.0,51308.3] || member(second(u),v) member(first(u),w) member(u,singleton_set(cross_product(w,v)))* -> equal(singleton_set(cross_product(w,v)),a). % 299.97/300.37 58546[16:Rew:54986.0,51460.1] || member(first(f17(u,cross_product(v,universal_set))),v)* -> equal(singleton_set(second(f17(u,cross_product(v,universal_set)))),a) subset(u,cross_product(v,universal_set)). % 299.97/300.37 58547[16:Rew:54986.0,51461.0] || equal(second(f17(u,cross_product(v,universal_set))),a) member(first(f17(u,cross_product(v,universal_set))),v)* -> subset(u,cross_product(v,universal_set)). % 299.97/300.37 58548[16:Rew:54986.0,51504.2] || member(u,image(powerset(f25),v)) -> single_valued_set(first(f22(u,powerset(f25),v))) equal(f19(first(f22(u,powerset(f25),v))),a)**. % 299.97/300.37 58549[16:Rew:54986.0,51644.1] || member(u,range_of(cross_product(v,w))) -> equal(first(f27(u,cross_product(v,w))),a) ordered_pair_predicate(f26(first(f27(u,cross_product(v,w)))))*. % 299.97/300.37 58550[16:Rew:54986.0,51645.1] || member(u,sigma(cross_product(v,w))) -> equal(first(f16(u,cross_product(v,w))),a) ordered_pair_predicate(f26(first(f16(u,cross_product(v,w)))))*. % 299.97/300.37 58551[16:Rew:54986.0,51646.1] || member(u,sigma(cross_product(v,w))) -> equal(second(f16(u,cross_product(v,w))),a) ordered_pair_predicate(f26(second(f16(u,cross_product(v,w)))))*. % 299.97/300.37 58552[16:Rew:54986.0,51647.1] || member(u,domain_of(cross_product(v,w))) -> equal(second(f8(u,cross_product(v,w))),a) ordered_pair_predicate(f26(second(f8(u,cross_product(v,w)))))*. % 299.97/300.37 64863[0:EqR:5126.3] || member(u,range_of(v)) member(f27(u,v),w) member(x,u) -> member(x,apply(w,first(f27(u,v))))*. % 299.97/300.37 65019[3:EqR:6217.1] || member(u,v) -> equal(w,second(u)) member(f1(w,second(u)),w)* member(f1(w,second(u)),apply(v,first(u)))*. % 299.97/300.37 65200[3:EqR:6218.1] || member(u,v) -> equal(second(u),w) member(f1(second(u),w),w)* member(f1(second(u),w),apply(v,first(u)))*. % 299.97/300.37 66358[16:MRR:66357.1,55067.2] little_set(u) little_set(v) || member(ordered_pair(v,u),w) -> equal(u,a) member(ordered_pair(v,f26(u)),compose(w,f25))*. % 299.97/300.37 66936[3:MRR:66935.0,8203.2] little_set(u) || equal(u,v)* member(v,w)* member(singleton_set(singleton_set(f2(v))),x)* -> member(u,compose(x,w))*. % 299.97/300.37 68141[16:Res:5257.5,55029.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,a) -> homomorphism(y,w,x,u,v)*. % 299.97/300.37 69174[0:MRR:69150.0,5259.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(universal_set,w) -> homomorphism(y,w,x,u,v)*. % 299.97/300.37 69178[0:Obv:69168.7] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(w,w)* -> homomorphism(y,w,x,u,v)*. % 299.97/300.37 73328[17:Rew:73253.0,57085.3] || subset(universal_set,ordered_pair(f13(u,v),f14(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(a,second(w))*. % 299.97/300.37 73329[17:Rew:73253.0,57084.3] || subset(universal_set,ordered_pair(f10(u,v),f11(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(a,second(w))*. % 299.97/300.37 78734[16:Res:557.1,56189.0] || member(u,range_of(cross_product(v,w))) -> equal(first(f27(u,cross_product(v,w))),a) little_set(f26(first(f27(u,cross_product(v,w)))))*. % 299.97/300.37 78733[16:Res:558.1,56189.0] || member(u,sigma(cross_product(v,w))) -> equal(first(f16(u,cross_product(v,w))),a) little_set(f26(first(f16(u,cross_product(v,w)))))*. % 299.97/300.37 78669[16:Res:545.1,56189.0] || member(u,sigma(cross_product(v,w))) -> equal(second(f16(u,cross_product(v,w))),a) little_set(f26(second(f16(u,cross_product(v,w)))))*. % 299.97/300.37 78668[16:Res:546.1,56189.0] || member(u,domain_of(cross_product(v,w))) -> equal(second(f8(u,cross_product(v,w))),a) little_set(f26(second(f8(u,cross_product(v,w)))))*. % 299.97/300.37 82823[16:Res:82637.1,4122.1] || equal(ordered_pair(second(f28(u,v,w)),w),a)** member(u,apply(v,w)) -> member(f28(u,v,w),converse(set_b)). % 299.97/300.37 82820[16:Res:82637.1,4121.1] || equal(ordered_pair(u,first(f22(u,v,w))),a)** member(u,image(v,w)) -> member(f22(u,v,w),converse(set_b)). % 299.97/300.37 82801[16:Res:82637.1,4768.1] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),a)** member(u,rotate_right(v)) disjoint(set_b,v) -> . % 299.97/300.37 82800[16:Res:82637.1,4620.1] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),a)** member(u,flip_range_of(v)) disjoint(set_b,v) -> . % 299.97/300.37 82783[16:Res:82637.1,4781.1] || equal(ordered_pair(f10(u,complement(set_b)),ordered_pair(f11(u,complement(set_b)),f9(u,complement(set_b)))),a)** member(u,rotate_right(complement(set_b))) -> . % 299.97/300.37 82782[16:Res:82637.1,4633.1] || equal(ordered_pair(f12(u,complement(set_b)),ordered_pair(f14(u,complement(set_b)),f13(u,complement(set_b)))),a)** member(u,flip_range_of(complement(set_b))) -> . % 299.97/300.37 82759[16:Res:82637.1,6235.0] || equal(second(f17(u,cross_product(v,set_b))),a) member(first(f17(u,cross_product(v,set_b))),v)* -> subset(u,cross_product(v,set_b)). % 299.97/300.37 82976[3:Res:82638.1,4122.1] || equal(ordered_pair(second(f28(u,v,w)),w),a)** member(u,apply(v,w)) -> member(f28(u,v,w),converse(set_a)). % 299.97/300.37 82973[3:Res:82638.1,4121.1] || equal(ordered_pair(u,first(f22(u,v,w))),a)** member(u,image(v,w)) -> member(f22(u,v,w),converse(set_a)). % 299.97/300.37 82954[3:Res:82638.1,4768.1] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),a)** member(u,rotate_right(v)) disjoint(set_a,v) -> . % 299.97/300.37 82953[3:Res:82638.1,4620.1] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),a)** member(u,flip_range_of(v)) disjoint(set_a,v) -> . % 299.97/300.37 82936[3:Res:82638.1,4781.1] || equal(ordered_pair(f10(u,complement(set_a)),ordered_pair(f11(u,complement(set_a)),f9(u,complement(set_a)))),a)** member(u,rotate_right(complement(set_a))) -> . % 299.97/300.37 82935[3:Res:82638.1,4633.1] || equal(ordered_pair(f12(u,complement(set_a)),ordered_pair(f14(u,complement(set_a)),f13(u,complement(set_a)))),a)** member(u,flip_range_of(complement(set_a))) -> . % 299.97/300.37 82912[3:Res:82638.1,6235.0] || equal(second(f17(u,cross_product(v,set_a))),a) member(first(f17(u,cross_product(v,set_a))),v)* -> subset(u,cross_product(v,set_a)). % 299.97/300.37 83131[16:Res:82641.1,4122.1] || equal(ordered_pair(second(f28(u,v,w)),w),a)** member(u,apply(v,w)) -> member(f28(u,v,w),converse(infinity)). % 299.97/300.37 83128[16:Res:82641.1,4121.1] || equal(ordered_pair(u,first(f22(u,v,w))),a)** member(u,image(v,w)) -> member(f22(u,v,w),converse(infinity)). % 299.97/300.37 83108[16:Res:82641.1,4768.1] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),a)** member(u,rotate_right(v)) disjoint(infinity,v) -> . % 299.97/300.37 83107[16:Res:82641.1,4620.1] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),a)** member(u,flip_range_of(v)) disjoint(infinity,v) -> . % 299.97/300.37 83090[16:Res:82641.1,4781.1] || equal(ordered_pair(f10(u,complement(infinity)),ordered_pair(f11(u,complement(infinity)),f9(u,complement(infinity)))),a)** member(u,rotate_right(complement(infinity))) -> . % 299.97/300.37 83089[16:Res:82641.1,4633.1] || equal(ordered_pair(f12(u,complement(infinity)),ordered_pair(f14(u,complement(infinity)),f13(u,complement(infinity)))),a)** member(u,flip_range_of(complement(infinity))) -> . % 299.97/300.37 83066[16:Res:82641.1,6235.0] || equal(second(f17(u,cross_product(v,infinity))),a) member(first(f17(u,cross_product(v,infinity))),v)* -> subset(u,cross_product(v,infinity)). % 299.97/300.37 83354[3:Res:83265.1,6235.0] || equal(second(f17(u,cross_product(v,universal_set))),infinity) member(first(f17(u,cross_product(v,universal_set))),v)* -> subset(u,cross_product(v,universal_set)). % 299.97/300.37 84014[16:Res:1549.1,83606.1] || member(u,image(cross_product(f24(powerset(v)),w),x)) subset(first(first(f22(u,cross_product(f24(powerset(v)),w),x))),v)* -> . % 299.97/300.37 84004[16:Res:554.1,83606.1] || subset(first(ordered_pair(f19(cross_product(f24(powerset(u)),v)),f20(cross_product(f24(powerset(u)),v)))),u)* -> single_valued_set(cross_product(f24(powerset(u)),v)). % 299.97/300.37 84003[16:Res:553.1,83606.1] || subset(first(ordered_pair(f19(cross_product(f24(powerset(u)),v)),f21(cross_product(f24(powerset(u)),v)))),u)* -> single_valued_set(cross_product(f24(powerset(u)),v)). % 299.97/300.37 83989[16:Res:1007.2,83606.1] || member(u,domain_of(v)) member(f8(u,v),converse(f24(powerset(w)))) subset(ordered_pair(second(f8(u,v)),u),w)* -> . % 299.97/300.37 83988[16:Res:1008.2,83606.1] || member(u,range_of(v)) member(f27(u,v),converse(f24(powerset(w)))) subset(ordered_pair(u,first(f27(u,v))),w)* -> . % 299.97/300.37 83952[16:Res:1550.1,83606.1] || member(u,image(cross_product(v,f24(powerset(w))),x)) subset(second(first(f22(u,cross_product(v,f24(powerset(w))),x))),w)* -> . % 299.97/300.37 83938[16:Res:541.1,83606.1] || subset(second(ordered_pair(f19(cross_product(u,f24(powerset(v)))),f20(cross_product(u,f24(powerset(v)))))),v)* -> single_valued_set(cross_product(u,f24(powerset(v)))). % 299.97/300.37 83937[16:Res:540.1,83606.1] || subset(second(ordered_pair(f19(cross_product(u,f24(powerset(v)))),f21(cross_product(u,f24(powerset(v)))))),v)* -> single_valued_set(cross_product(u,f24(powerset(v)))). % 299.97/300.37 83932[16:Res:3839.1,83606.1] || subset(f1(powerset(u),f24(powerset(v))),v)* -> equal(powerset(u),f24(powerset(v))) subset(f1(powerset(u),f24(powerset(v))),u)*. % 299.97/300.37 83888[16:Res:3821.1,83606.1] || subset(f1(f24(powerset(u)),powerset(v)),u)* -> equal(f24(powerset(u)),powerset(v)) subset(f1(f24(powerset(u)),powerset(v)),v)*. % 299.97/300.37 84204[2:Res:1549.1,25433.0] || member(u,image(cross_product(image(v,w),x),y)) subset(v,first(first(f22(u,cross_product(image(v,w),x),y))))* -> . % 299.97/300.37 84194[2:Res:554.1,25433.0] || subset(u,first(ordered_pair(f19(cross_product(image(u,v),w)),f20(cross_product(image(u,v),w)))))* -> single_valued_set(cross_product(image(u,v),w)). % 299.97/300.37 84193[2:Res:553.1,25433.0] || subset(u,first(ordered_pair(f19(cross_product(image(u,v),w)),f21(cross_product(image(u,v),w)))))* -> single_valued_set(cross_product(image(u,v),w)). % 299.97/300.37 84179[2:Res:1007.2,25433.0] || member(u,domain_of(v)) member(f8(u,v),converse(image(w,x)))* subset(w,ordered_pair(second(f8(u,v)),u))* -> . % 299.97/300.37 84178[2:Res:1008.2,25433.0] || member(u,range_of(v)) member(f27(u,v),converse(image(w,x)))* subset(w,ordered_pair(u,first(f27(u,v))))* -> . % 299.97/300.37 84142[2:Res:1550.1,25433.0] || member(u,image(cross_product(v,image(w,x)),y)) subset(w,second(first(f22(u,cross_product(v,image(w,x)),y))))* -> . % 299.97/300.37 84128[2:Res:541.1,25433.0] || subset(u,second(ordered_pair(f19(cross_product(v,image(u,w))),f20(cross_product(v,image(u,w))))))* -> single_valued_set(cross_product(v,image(u,w))). % 299.97/300.37 84127[2:Res:540.1,25433.0] || subset(u,second(ordered_pair(f19(cross_product(v,image(u,w))),f21(cross_product(v,image(u,w))))))* -> single_valued_set(cross_product(v,image(u,w))). % 299.97/300.37 84122[2:Res:3839.1,25433.0] || subset(u,f1(powerset(v),image(u,w)))* -> equal(powerset(v),image(u,w)) subset(f1(powerset(v),image(u,w)),v)*. % 299.97/300.37 84078[2:Res:3821.1,25433.0] || subset(u,f1(image(u,v),powerset(w)))* -> equal(image(u,v),powerset(w)) subset(f1(image(u,v),powerset(w)),w)*. % 299.97/300.37 87707[16:Res:82665.1,4972.2] little_set(u) || equal(f27(v,w),a) member(v,range_of(w))* equal(u,v)* -> member(u,range_of(sigma(infinity)))*. % 299.97/300.37 87706[16:Res:82665.1,4926.2] little_set(u) || equal(f8(v,w),a) member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(sigma(infinity)))*. % 299.97/300.37 87695[16:Res:82665.1,4346.1] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),a)** member(u,compose(v,w)) disjoint(sigma(infinity),v) -> . % 299.97/300.37 87694[16:Res:82665.1,4271.1] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),a)** member(u,compose(v,w)) disjoint(sigma(infinity),w) -> . % 299.97/300.37 87687[16:Res:82665.1,5125.1] || equal(f28(u,v,w),a) member(u,apply(v,w))* equal(w,x)* -> member(u,apply(sigma(infinity),x))*. % 299.97/300.37 87662[16:Res:82665.1,6224.3] little_set(u) single_valued_set(sigma(infinity)) || equal(ordered_pair(f2(v),u),a)** member(v,sigma(infinity)) -> equal(u,f3(v)). % 299.97/300.37 87861[16:Res:82681.1,4972.2] little_set(u) || equal(f27(v,w),a) member(v,range_of(w))* equal(u,v)* -> member(u,range_of(successor(a)))*. % 299.97/300.37 87860[16:Res:82681.1,4926.2] little_set(u) || equal(f8(v,w),a) member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(successor(a)))*. % 299.97/300.37 87849[16:Res:82681.1,4346.1] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),a)** member(u,compose(v,w)) disjoint(successor(a),v) -> . % 299.97/300.37 87848[16:Res:82681.1,4271.1] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),a)** member(u,compose(v,w)) disjoint(successor(a),w) -> . % 299.97/300.37 87841[16:Res:82681.1,5125.1] || equal(f28(u,v,w),a) member(u,apply(v,w))* equal(w,x)* -> member(u,apply(successor(a),x))*. % 299.97/300.37 87816[16:Res:82681.1,6224.3] little_set(u) single_valued_set(successor(a)) || equal(ordered_pair(f2(v),u),a)** member(v,successor(a)) -> equal(u,f3(v)). % 299.97/300.37 88016[16:Rew:87905.1,58074.2] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),a)** member(a,v) -> member(u,converse(intersection(v,ordered_pair(universal_set,w))))*. % 299.97/300.37 88149[3:Res:82671.1,1562.1] || equal(second(f28(u,v,w)),infinity) member(u,apply(v,w)) -> member(u,sigma(singleton_set(second(f28(u,v,w)))))*. % 299.97/300.37 88148[3:Res:82671.1,1542.1] || equal(first(f22(u,v,w)),infinity) member(u,image(v,w)) disjoint(singleton_set(first(f22(u,v,w))),v)* -> . % 299.97/300.37 88221[16:Res:5054.3,58983.0] little_set(u) little_set(v) || member(f1(complement(second(ordered_pair(v,u))),a),u)* -> equal(complement(second(ordered_pair(v,u))),a). % 299.97/300.37 88220[16:Res:5009.3,58983.0] little_set(u) little_set(v) || member(f1(complement(first(ordered_pair(v,u))),a),v)* -> equal(complement(first(ordered_pair(v,u))),a). % 299.97/300.37 88301[16:Res:5054.3,58984.0] little_set(u) little_set(v) || member(f1(a,complement(second(ordered_pair(v,u)))),u)* -> equal(complement(second(ordered_pair(v,u))),a). % 299.97/300.37 88300[16:Res:5009.3,58984.0] little_set(u) little_set(v) || member(f1(a,complement(first(ordered_pair(v,u)))),v)* -> equal(complement(first(ordered_pair(v,u))),a). % 299.97/300.37 88660[16:Res:88372.0,4458.3] ordered_pair_predicate(u) || member(second(u),v)* member(first(u),w)* -> member(a,complement(singleton_set(cross_product(w,v))))* member(u,x)*. % 299.97/300.37 88937[16:Res:5054.3,57904.0] little_set(u) little_set(v) || member(complement(sigma(second(ordered_pair(v,u)))),u)* -> equal(complement(sigma(second(ordered_pair(v,u)))),a). % 299.97/300.37 88936[16:Res:5009.3,57904.0] little_set(u) little_set(v) || member(complement(sigma(first(ordered_pair(v,u)))),v)* -> equal(complement(sigma(first(ordered_pair(v,u)))),a). % 299.97/300.37 88931[16:Res:1103.2,57904.0] little_set(complement(sigma(ordered_pair(u,v)))) || equal(complement(sigma(ordered_pair(u,v))),singleton_set(u))** -> equal(complement(sigma(ordered_pair(u,v))),a). % 299.97/300.37 88926[16:Res:33.2,57904.0] || member(complement(sigma(intersection(u,v))),v)* member(complement(sigma(intersection(u,v))),u)* -> equal(complement(sigma(intersection(u,v))),a). % 299.97/300.37 89289[0:Res:1556.1,14370.1] || member(u,image(intersection(v,converse(complement(w))),x)) member(first(f22(u,intersection(v,converse(complement(w))),x)),converse(w))* -> . % 299.97/300.37 89288[0:Res:1344.1,14370.1] || member(u,image(v,cross_product(converse(complement(w)),x))) member(first(f22(u,v,cross_product(converse(complement(w)),x))),converse(w))* -> . % 299.97/300.37 89285[0:Res:1555.1,14370.1] || member(u,image(intersection(converse(complement(v)),w),x)) member(first(f22(u,intersection(converse(complement(v)),w),x)),converse(v))* -> . % 299.97/300.37 89268[0:Res:288.1,14370.1] || member(ordered_pair(f19(intersection(converse(complement(u)),v)),f20(intersection(converse(complement(u)),v))),converse(u))* -> single_valued_set(intersection(converse(complement(u)),v)). % 299.97/300.37 89267[0:Res:287.1,14370.1] || member(ordered_pair(f19(intersection(converse(complement(u)),v)),f21(intersection(converse(complement(u)),v))),converse(u))* -> single_valued_set(intersection(converse(complement(u)),v)). % 299.97/300.37 89257[0:Res:280.1,14370.1] || member(ordered_pair(f19(intersection(u,converse(complement(v)))),f20(intersection(u,converse(complement(v))))),converse(v))* -> single_valued_set(intersection(u,converse(complement(v)))). % 299.97/300.37 89256[0:Res:279.1,14370.1] || member(ordered_pair(f19(intersection(u,converse(complement(v)))),f21(intersection(u,converse(complement(v))))),converse(v))* -> single_valued_set(intersection(u,converse(complement(v)))). % 299.97/300.37 89223[0:Res:1280.1,14370.1] || member(u,apply(cross_product(v,converse(complement(w))),x)) member(second(f28(u,cross_product(v,converse(complement(w))),x)),converse(w))* -> . % 299.97/300.37 89529[0:Res:1351.1,43745.1] || member(u,image(v,intersection(w,flip_range_of(complement(flip_range_of(x)))))) member(f22(u,v,intersection(w,flip_range_of(complement(flip_range_of(x))))),x)* -> . % 299.97/300.37 89473[0:Res:1286.1,43745.1] || member(u,apply(intersection(v,flip_range_of(complement(flip_range_of(w)))),x)) member(f28(u,intersection(v,flip_range_of(complement(flip_range_of(w)))),x),w)* -> . % 299.97/300.37 89461[0:Res:1350.1,43745.1] || member(u,image(v,intersection(flip_range_of(complement(flip_range_of(w))),x))) member(f22(u,v,intersection(flip_range_of(complement(flip_range_of(w))),x)),w)* -> . % 299.97/300.37 89437[0:Res:6.1,43745.1] || member(f1(u,flip_range_of(complement(flip_range_of(v)))),v)* -> equal(u,flip_range_of(complement(flip_range_of(v)))) member(f1(u,flip_range_of(complement(flip_range_of(v)))),u)*. % 299.97/300.37 89436[0:Res:1285.1,43745.1] || member(u,apply(intersection(flip_range_of(complement(flip_range_of(v))),w),x)) member(f28(u,intersection(flip_range_of(complement(flip_range_of(v))),w),x),v)* -> . % 299.97/300.37 89392[0:Res:6.2,43745.1] || member(f1(flip_range_of(complement(flip_range_of(u))),v),u)* -> equal(flip_range_of(complement(flip_range_of(u))),v) member(f1(flip_range_of(complement(flip_range_of(u))),v),v)*. % 299.97/300.37 91474[3:Rew:90184.0,90088.2,90184.0,90088.1] little_set(second(f17(u,cross_product(v,sigma(universal_set))))) || member(first(f17(u,cross_product(v,universal_set))),v)* -> subset(u,cross_product(v,universal_set)). % 299.97/300.37 92725[0:Res:1351.1,19261.0] || member(u,image(v,intersection(w,sigma(intersection(x,y))))) -> member(f22(u,v,intersection(w,sigma(intersection(x,y)))),sigma(x))*. % 299.97/300.37 92649[0:Res:1286.1,19261.0] || member(u,apply(intersection(v,sigma(intersection(w,x))),y)) -> member(f28(u,intersection(v,sigma(intersection(w,x))),y),sigma(w))*. % 299.97/300.37 92637[0:Res:1350.1,19261.0] || member(u,image(v,intersection(sigma(intersection(w,x)),y))) -> member(f22(u,v,intersection(sigma(intersection(w,x)),y)),sigma(w))*. % 299.97/300.37 92613[0:Res:6.1,19261.0] || -> equal(u,sigma(intersection(v,w))) member(f1(u,sigma(intersection(v,w))),u)* member(f1(u,sigma(intersection(v,w))),sigma(v))*. % 299.97/300.37 92612[0:Res:1285.1,19261.0] || member(u,apply(intersection(sigma(intersection(v,w)),x),y)) -> member(f28(u,intersection(sigma(intersection(v,w)),x),y),sigma(v))*. % 299.97/300.37 92568[0:Res:6.2,19261.0] || -> equal(sigma(intersection(u,v)),w) member(f1(sigma(intersection(u,v)),w),w)* member(f1(sigma(intersection(u,v)),w),sigma(u))*. % 299.97/300.37 92927[0:Res:1351.1,19263.0] || member(u,image(v,intersection(w,sigma(intersection(x,y))))) -> member(f22(u,v,intersection(w,sigma(intersection(x,y)))),sigma(y))*. % 299.97/300.37 92851[0:Res:1286.1,19263.0] || member(u,apply(intersection(v,sigma(intersection(w,x))),y)) -> member(f28(u,intersection(v,sigma(intersection(w,x))),y),sigma(x))*. % 299.97/300.37 92839[0:Res:1350.1,19263.0] || member(u,image(v,intersection(sigma(intersection(w,x)),y))) -> member(f22(u,v,intersection(sigma(intersection(w,x)),y)),sigma(x))*. % 299.97/300.37 92815[0:Res:6.1,19263.0] || -> equal(u,sigma(intersection(v,w))) member(f1(u,sigma(intersection(v,w))),u)* member(f1(u,sigma(intersection(v,w))),sigma(w))*. % 299.97/300.37 92814[0:Res:1285.1,19263.0] || member(u,apply(intersection(sigma(intersection(v,w)),x),y)) -> member(f28(u,intersection(sigma(intersection(v,w)),x),y),sigma(w))*. % 299.97/300.37 92770[0:Res:6.2,19263.0] || -> equal(sigma(intersection(u,v)),w) member(f1(sigma(intersection(u,v)),w),w)* member(f1(sigma(intersection(u,v)),w),sigma(v))*. % 299.97/300.37 93033[16:Res:3821.2,56181.0] || disjoint(u,f1(v,powerset(u)))* -> equal(v,powerset(u)) member(f1(v,powerset(u)),v)* equal(f1(v,powerset(u)),a). % 299.97/300.37 93003[16:Res:3839.2,56181.0] || disjoint(u,f1(powerset(u),v))* -> equal(powerset(u),v) member(f1(powerset(u),v),v)* equal(f1(powerset(u),v),a). % 299.97/300.37 94198[16:Res:57719.1,8.0] || -> equal(restrict(non_ordered_pair(u,v),w),a) equal(f24(restrict(non_ordered_pair(u,v),w)),v)** equal(f24(restrict(non_ordered_pair(u,v),w)),u)**. % 299.97/300.37 96121[0:SpR:2390.1,372.0] || -> single_valued_set(singleton_set(u)) equal(ordered_pair(singleton_set(f19(singleton_set(u))),non_ordered_pair(f19(singleton_set(u)),f21(singleton_set(u)))),non_ordered_pair(singleton_set(singleton_set(f19(singleton_set(u)))),u))**. % 299.97/300.37 96427[16:Res:3837.1,92502.1] || equal(a,u) -> equal(non_ordered_pair(v,w),u) equal(f1(non_ordered_pair(v,w),u),w)** equal(f1(non_ordered_pair(v,w),u),v)**. % 299.97/300.37 96412[16:Res:142.3,92502.1] || closed(u,v) closed(w,x) maps(y,w,u) equal(a,w) -> homomorphism(y,w,x,u,v)*. % 299.97/300.37 96345[16:Res:3819.1,92502.1] || equal(a,u) -> equal(u,non_ordered_pair(v,w)) equal(f1(u,non_ordered_pair(v,w)),w)** equal(f1(u,non_ordered_pair(v,w)),v)**. % 299.97/300.37 96310[16:Res:4110.2,92502.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),second(v)) equal(converse(f7(ordered_pair(second(u),first(u)),v)),a)** -> . % 299.97/300.37 96309[16:Res:4111.2,92502.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),first(v)) equal(converse(f4(ordered_pair(second(u),first(u)),v)),a)** -> . % 299.97/300.37 96308[16:Res:4112.2,92502.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),sigma(v)) equal(converse(f16(ordered_pair(second(u),first(u)),v)),a)** -> . % 299.97/300.37 96767[0:SpR:2405.1,372.0] || -> single_valued_set(singleton_set(u)) equal(ordered_pair(singleton_set(f19(singleton_set(u))),non_ordered_pair(f19(singleton_set(u)),f20(singleton_set(u)))),non_ordered_pair(singleton_set(singleton_set(f19(singleton_set(u)))),u))**. % 299.97/300.37 96994[0:Res:21407.1,1136.2] ordered_pair_predicate(powerset(u)) little_set(v) || subset(v,u) -> member(v,sigma(converse(powerset(ordered_pair(second(powerset(u)),first(powerset(u)))))))*. % 299.97/300.37 96954[0:Res:21407.1,3811.0] ordered_pair_predicate(u) || -> equal(v,u) member(f1(v,u),v)* member(f1(v,u),sigma(converse(powerset(ordered_pair(second(u),first(u))))))*. % 299.97/300.37 96953[0:Res:21407.1,3829.0] ordered_pair_predicate(u) || -> equal(u,v) member(f1(u,v),v)* member(f1(u,v),sigma(converse(powerset(ordered_pair(second(u),first(u))))))*. % 299.97/300.37 97100[3:SSi:97008.0,5742.0,371.1] || member(u,converse(v)) disjoint(converse(powerset(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))))),v)* -> . % 299.97/300.37 97102[0:MRR:97101.0,106.1] little_set(u) || member(v,range_of(w)) equal(u,v) -> member(u,range_of(converse(powerset(ordered_pair(v,first(f27(v,w)))))))*. % 299.97/300.37 97104[0:MRR:97103.0,37.1] little_set(u) || member(v,domain_of(w)) equal(u,v) -> member(u,domain_of(converse(powerset(ordered_pair(second(f8(v,w)),v)))))*. % 299.97/300.37 97107[0:MRR:97106.0,117.1] || member(u,apply(v,w)) equal(w,x) -> member(u,apply(converse(powerset(ordered_pair(second(f28(u,v,w)),w))),x))*. % 299.97/300.37 97756[0:Res:1351.1,2899.0] || member(u,image(v,intersection(w,domain_of(singleton_set(x))))) -> equal(f8(f22(u,v,intersection(w,domain_of(singleton_set(x)))),singleton_set(x)),x)**. % 299.97/300.37 97701[0:Res:1286.1,2899.0] || member(u,apply(intersection(v,domain_of(singleton_set(w))),x)) -> equal(f8(f28(u,intersection(v,domain_of(singleton_set(w))),x),singleton_set(w)),w)**. % 299.97/300.37 97689[0:Res:1350.1,2899.0] || member(u,image(v,intersection(domain_of(singleton_set(w)),x))) -> equal(f8(f22(u,v,intersection(domain_of(singleton_set(w)),x)),singleton_set(w)),w)**. % 299.97/300.37 97664[0:Res:1285.1,2899.0] || member(u,apply(intersection(domain_of(singleton_set(v)),w),x)) -> equal(f8(f28(u,intersection(domain_of(singleton_set(v)),w),x),singleton_set(v)),v)**. % 299.97/300.37 97993[0:Res:1351.1,2938.0] || member(u,image(v,intersection(w,sigma(singleton_set(x))))) -> equal(f16(f22(u,v,intersection(w,sigma(singleton_set(x)))),singleton_set(x)),x)**. % 299.97/300.37 97914[0:Res:1286.1,2938.0] || member(u,apply(intersection(v,sigma(singleton_set(w))),x)) -> equal(f16(f28(u,intersection(v,sigma(singleton_set(w))),x),singleton_set(w)),w)**. % 299.97/300.37 97902[0:Res:1350.1,2938.0] || member(u,image(v,intersection(sigma(singleton_set(w)),x))) -> equal(f16(f22(u,v,intersection(sigma(singleton_set(w)),x)),singleton_set(w)),w)**. % 299.97/300.37 97877[0:Res:1285.1,2938.0] || member(u,apply(intersection(sigma(singleton_set(v)),w),x)) -> equal(f16(f28(u,intersection(sigma(singleton_set(v)),w),x),singleton_set(v)),v)**. % 299.97/300.37 98212[0:Res:1351.1,2959.0] || member(u,image(v,intersection(w,range_of(singleton_set(x))))) -> equal(f27(f22(u,v,intersection(w,range_of(singleton_set(x)))),singleton_set(x)),x)**. % 299.97/300.37 98157[0:Res:1286.1,2959.0] || member(u,apply(intersection(v,range_of(singleton_set(w))),x)) -> equal(f27(f28(u,intersection(v,range_of(singleton_set(w))),x),singleton_set(w)),w)**. % 299.97/300.37 98145[0:Res:1350.1,2959.0] || member(u,image(v,intersection(range_of(singleton_set(w)),x))) -> equal(f27(f22(u,v,intersection(range_of(singleton_set(w)),x)),singleton_set(w)),w)**. % 299.97/300.37 98120[0:Res:1285.1,2959.0] || member(u,apply(intersection(range_of(singleton_set(v)),w),x)) -> equal(f27(f28(u,intersection(range_of(singleton_set(v)),w),x),singleton_set(v)),v)**. % 299.97/300.37 99239[16:SSi:99222.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),apply(u,v)) disjoint(set_b,converse(second(f28(ordered_pair(second(a),first(a)),u,v))))* -> . % 299.97/300.37 99277[0:Res:18201.1,3811.0] ordered_pair_predicate(u) || -> member(u,converse(v)) equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(converse(complement(v))))*. % 299.97/300.37 99276[0:Res:18201.1,3829.0] ordered_pair_predicate(u) || -> member(u,converse(v)) equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(converse(complement(v))))*. % 299.97/300.37 99486[3:MRR:99323.0,6237.1] || -> member(f1(u,complement(converse(complement(v)))),converse(v))* equal(u,complement(converse(complement(v)))) member(f1(u,complement(converse(complement(v)))),u)*. % 299.97/300.37 99487[3:MRR:99307.0,6237.1] || -> member(f1(complement(converse(complement(u))),v),converse(u))* equal(complement(converse(complement(u))),v) member(f1(complement(converse(complement(u))),v),v)*. % 299.97/300.37 99488[3:MRR:99304.0,6237.1] || -> member(f1(converse(complement(u)),complement(v)),converse(u))* member(f1(converse(complement(u)),complement(v)),v)* equal(converse(complement(u)),complement(v)). % 299.97/300.37 99701[0:Res:22366.2,3653.2] ordered_pair_predicate(u) || member(intersection(v,w),f2(u))* member(x,w)* member(x,v)* -> member(x,sigma(first(u)))*. % 299.97/300.37 99700[0:Res:22366.2,1562.1] ordered_pair_predicate(u) || member(second(f28(v,w,x)),f2(u))* member(v,apply(w,x)) -> member(v,sigma(first(u))). % 299.97/300.37 99699[0:Res:22366.2,1542.1] ordered_pair_predicate(u) || member(first(f22(v,w,x)),f2(u))* member(v,image(w,x)) disjoint(first(u),w) -> . % 299.97/300.37 99659[0:Res:22366.2,3810.0] ordered_pair_predicate(u) || member(f1(v,w),f2(u))* disjoint(first(u),w) -> equal(v,w) member(f1(v,w),v)*. % 299.97/300.37 99658[0:Res:22366.2,3828.0] ordered_pair_predicate(u) || member(f1(v,w),f2(u))* disjoint(first(u),v) -> equal(v,w) member(f1(v,w),w)*. % 299.97/300.37 99593[0:Res:22366.2,3811.0] ordered_pair_predicate(u) || member(v,f2(u)) -> equal(w,v) member(f1(w,v),w)* member(f1(w,v),sigma(first(u)))*. % 299.97/300.37 99592[0:Res:22366.2,3829.0] ordered_pair_predicate(u) || member(v,f2(u)) -> equal(v,w) member(f1(v,w),w)* member(f1(v,w),sigma(first(u)))*. % 299.97/300.37 99898[0:Res:22612.2,3653.2] ordered_pair_predicate(u) || member(intersection(v,w),f3(u))* member(x,w)* member(x,v)* -> member(x,sigma(second(u)))*. % 299.97/300.37 99897[0:Res:22612.2,1562.1] ordered_pair_predicate(u) || member(second(f28(v,w,x)),f3(u))* member(v,apply(w,x)) -> member(v,sigma(second(u))). % 299.97/300.37 99896[0:Res:22612.2,1542.1] ordered_pair_predicate(u) || member(first(f22(v,w,x)),f3(u))* member(v,image(w,x)) disjoint(second(u),w) -> . % 299.97/300.37 99853[0:Res:22612.2,3810.0] ordered_pair_predicate(u) || member(f1(v,w),f3(u))* disjoint(second(u),w) -> equal(v,w) member(f1(v,w),v)*. % 299.97/300.37 99852[0:Res:22612.2,3828.0] ordered_pair_predicate(u) || member(f1(v,w),f3(u))* disjoint(second(u),v) -> equal(v,w) member(f1(v,w),w)*. % 299.97/300.37 99786[0:Res:22612.2,3811.0] ordered_pair_predicate(u) || member(v,f3(u)) -> equal(w,v) member(f1(w,v),w)* member(f1(w,v),sigma(second(u)))*. % 299.97/300.37 99785[0:Res:22612.2,3829.0] ordered_pair_predicate(u) || member(v,f3(u)) -> equal(v,w) member(f1(v,w),w)* member(f1(v,w),sigma(second(u)))*. % 299.97/300.37 99998[16:Res:59019.2,1009.0] || subset(u,converse(v))* subset(v,w)* -> equal(u,a) member(ordered_pair(second(f1(u,a)),first(f1(u,a))),w)*. % 299.97/300.37 100191[0:Res:98305.0,4458.3] ordered_pair_predicate(u) || member(second(u),v)* member(first(u),w)* -> member(x,cross_product(w,v))* member(u,complement(singleton_set(x)))*. % 299.97/300.37 100176[0:Res:98305.0,4165.0] || member(f1(u,powerset(complement(singleton_set(v)))),u)* -> member(v,f1(u,powerset(complement(singleton_set(v)))))* equal(u,powerset(complement(singleton_set(v)))). % 299.97/300.37 100426[16:Res:625.1,56166.0] || -> subset(u,complement(powerset(singleton_set(v)))) equal(f17(u,complement(powerset(singleton_set(v)))),a) equal(f24(f17(u,complement(powerset(singleton_set(v))))),v)**. % 299.97/300.37 100611[16:Res:59021.2,1009.0] || subset(u,converse(v))* subset(v,w)* -> equal(a,u) member(ordered_pair(second(f1(a,u)),first(f1(a,u))),w)*. % 299.97/300.37 100792[16:Res:59048.1,314.0] || member(f1(intersection(intersection(complement(u),complement(v)),w),a),union(u,v))* -> equal(intersection(intersection(complement(u),complement(v)),w),a). % 299.97/300.37 100909[16:Res:59049.1,314.0] || member(f1(intersection(u,intersection(complement(v),complement(w))),a),union(v,w))* -> equal(intersection(u,intersection(complement(v),complement(w))),a). % 299.97/300.37 101010[16:Res:59050.1,314.0] || member(f1(a,intersection(intersection(complement(u),complement(v)),w)),union(u,v))* -> equal(intersection(intersection(complement(u),complement(v)),w),a). % 299.97/300.37 101149[16:Res:59051.1,314.0] || member(f1(a,intersection(u,intersection(complement(v),complement(w)))),union(v,w))* -> equal(intersection(u,intersection(complement(v),complement(w))),a). % 299.97/300.37 101343[16:Res:59052.1,314.0] || member(f1(restrict(intersection(complement(u),complement(v)),w),a),union(u,v))* -> equal(restrict(intersection(complement(u),complement(v)),w),a). % 299.97/300.37 101524[16:SSi:101506.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),apply(u,v)) disjoint(set_a,converse(second(f28(ordered_pair(second(a),first(a)),u,v))))* -> . % 299.97/300.37 101603[16:Res:59053.1,314.0] || member(f1(a,restrict(intersection(complement(u),complement(v)),w)),union(u,v))* -> equal(restrict(intersection(complement(u),complement(v)),w),a). % 299.97/300.37 101710[16:Res:57867.1,1163.0] || disjoint(complement(converse(u)),v)* member(u,w)* -> equal(v,a) member(ordered_pair(second(f24(v)),first(f24(v))),sigma(w))*. % 299.97/300.37 101873[0:Res:3813.2,314.0] || disjoint(u,universal_set) member(f1(intersection(complement(v),complement(w)),u),union(v,w))* -> equal(intersection(complement(v),complement(w)),u). % 299.97/300.37 102007[0:Res:3831.2,314.0] || disjoint(u,universal_set) member(f1(u,intersection(complement(v),complement(w))),union(v,w))* -> equal(u,intersection(complement(v),complement(w))). % 299.97/300.37 102655[16:SSi:102637.0,159.0,991.0,55026.0] || member(ordered_pair(second(a),first(a)),apply(u,v)) disjoint(infinity,converse(second(f28(ordered_pair(second(a),first(a)),u,v))))* -> . % 299.97/300.37 103666[0:Res:556.1,16184.0] || -> disjoint(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y)) member(first(f23(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y))),v)*. % 299.97/300.37 103661[0:Res:552.1,16184.0] || -> subset(cross_product(domain_of(intersection(cross_product(u,v),w)),x),y) member(first(f17(cross_product(domain_of(intersection(cross_product(u,v),w)),x),y)),u)*. % 299.97/300.37 103660[0:Res:551.1,16184.0] || -> disjoint(cross_product(domain_of(intersection(cross_product(u,v),w)),x),y) member(first(f23(cross_product(domain_of(intersection(cross_product(u,v),w)),x),y)),u)*. % 299.97/300.37 103604[0:Res:543.1,16184.0] || -> disjoint(u,cross_product(v,domain_of(intersection(cross_product(w,x),y)))) member(second(f23(u,cross_product(v,domain_of(intersection(cross_product(w,x),y))))),w)*. % 299.97/300.37 103595[0:Res:539.1,16184.0] || -> subset(cross_product(u,domain_of(intersection(cross_product(v,w),x))),y) member(second(f17(cross_product(u,domain_of(intersection(cross_product(v,w),x))),y)),v)*. % 299.97/300.37 103594[0:Res:538.1,16184.0] || -> disjoint(cross_product(u,domain_of(intersection(cross_product(v,w),x))),y) member(second(f23(cross_product(u,domain_of(intersection(cross_product(v,w),x))),y)),v)*. % 299.97/300.37 103566[0:Res:94.1,16184.0] || member(u,image(domain_of(intersection(cross_product(v,w),x)),y)) -> member(first(f22(u,domain_of(intersection(cross_product(v,w),x)),y)),v)*. % 299.97/300.37 103908[0:Res:556.1,16416.0] || -> disjoint(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y)) member(first(f23(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y))),w)*. % 299.97/300.37 103903[0:Res:552.1,16416.0] || -> subset(cross_product(domain_of(intersection(u,cross_product(v,w))),x),y) member(first(f17(cross_product(domain_of(intersection(u,cross_product(v,w))),x),y)),v)*. % 299.97/300.37 103902[0:Res:551.1,16416.0] || -> disjoint(cross_product(domain_of(intersection(u,cross_product(v,w))),x),y) member(first(f23(cross_product(domain_of(intersection(u,cross_product(v,w))),x),y)),v)*. % 299.97/300.37 103846[0:Res:543.1,16416.0] || -> disjoint(u,cross_product(v,domain_of(intersection(w,cross_product(x,y))))) member(second(f23(u,cross_product(v,domain_of(intersection(w,cross_product(x,y)))))),x)*. % 299.97/300.37 103837[0:Res:539.1,16416.0] || -> subset(cross_product(u,domain_of(intersection(v,cross_product(w,x)))),y) member(second(f17(cross_product(u,domain_of(intersection(v,cross_product(w,x)))),y)),w)*. % 299.97/300.37 103836[0:Res:538.1,16416.0] || -> disjoint(cross_product(u,domain_of(intersection(v,cross_product(w,x)))),y) member(second(f23(cross_product(u,domain_of(intersection(v,cross_product(w,x)))),y)),w)*. % 299.97/300.37 103808[0:Res:94.1,16416.0] || member(u,image(domain_of(intersection(v,cross_product(w,x))),y)) -> member(first(f22(u,domain_of(intersection(v,cross_product(w,x))),y)),w)*. % 299.97/300.37 104153[0:Res:556.1,17439.0] || -> disjoint(u,cross_product(range_of(intersection(cross_product(v,w),x)),y)) member(first(f23(u,cross_product(range_of(intersection(cross_product(v,w),x)),y))),w)*. % 299.97/300.37 104148[0:Res:552.1,17439.0] || -> subset(cross_product(range_of(intersection(cross_product(u,v),w)),x),y) member(first(f17(cross_product(range_of(intersection(cross_product(u,v),w)),x),y)),v)*. % 299.97/300.37 104147[0:Res:551.1,17439.0] || -> disjoint(cross_product(range_of(intersection(cross_product(u,v),w)),x),y) member(first(f23(cross_product(range_of(intersection(cross_product(u,v),w)),x),y)),v)*. % 299.97/300.37 104091[0:Res:543.1,17439.0] || -> disjoint(u,cross_product(v,range_of(intersection(cross_product(w,x),y)))) member(second(f23(u,cross_product(v,range_of(intersection(cross_product(w,x),y))))),x)*. % 299.97/300.37 104082[0:Res:539.1,17439.0] || -> subset(cross_product(u,range_of(intersection(cross_product(v,w),x))),y) member(second(f17(cross_product(u,range_of(intersection(cross_product(v,w),x))),y)),w)*. % 299.97/300.37 104081[0:Res:538.1,17439.0] || -> disjoint(cross_product(u,range_of(intersection(cross_product(v,w),x))),y) member(second(f23(cross_product(u,range_of(intersection(cross_product(v,w),x))),y)),w)*. % 299.97/300.37 104053[0:Res:94.1,17439.0] || member(u,image(range_of(intersection(cross_product(v,w),x)),y)) -> member(first(f22(u,range_of(intersection(cross_product(v,w),x)),y)),w)*. % 299.97/300.37 104430[0:Res:556.1,17546.0] || -> disjoint(u,cross_product(range_of(intersection(v,cross_product(w,x))),y)) member(first(f23(u,cross_product(range_of(intersection(v,cross_product(w,x))),y))),x)*. % 299.97/300.37 104425[0:Res:552.1,17546.0] || -> subset(cross_product(range_of(intersection(u,cross_product(v,w))),x),y) member(first(f17(cross_product(range_of(intersection(u,cross_product(v,w))),x),y)),w)*. % 299.97/300.37 104424[0:Res:551.1,17546.0] || -> disjoint(cross_product(range_of(intersection(u,cross_product(v,w))),x),y) member(first(f23(cross_product(range_of(intersection(u,cross_product(v,w))),x),y)),w)*. % 299.97/300.37 104368[0:Res:543.1,17546.0] || -> disjoint(u,cross_product(v,range_of(intersection(w,cross_product(x,y))))) member(second(f23(u,cross_product(v,range_of(intersection(w,cross_product(x,y)))))),y)*. % 299.97/300.37 104359[0:Res:539.1,17546.0] || -> subset(cross_product(u,range_of(intersection(v,cross_product(w,x)))),y) member(second(f17(cross_product(u,range_of(intersection(v,cross_product(w,x)))),y)),x)*. % 299.97/300.37 104358[0:Res:538.1,17546.0] || -> disjoint(cross_product(u,range_of(intersection(v,cross_product(w,x)))),y) member(second(f23(cross_product(u,range_of(intersection(v,cross_product(w,x)))),y)),x)*. % 299.97/300.37 104330[0:Res:94.1,17546.0] || member(u,image(range_of(intersection(v,cross_product(w,x))),y)) -> member(first(f22(u,range_of(intersection(v,cross_product(w,x))),y)),x)*. % 299.97/300.37 104551[0:Res:18826.1,3811.0] little_set(u) || -> member(u,complement(v)) equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(union(v,x)))*. % 299.97/300.37 104550[0:Res:18826.1,3829.0] little_set(u) || -> member(u,complement(v)) equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(union(v,x)))*. % 299.97/300.37 104754[0:MRR:104596.0,5.0] || -> member(f1(u,complement(union(v,w))),complement(v))* equal(u,complement(union(v,w))) member(f1(u,complement(union(v,w))),u)*. % 299.97/300.37 104755[0:MRR:104579.0,5.0] || -> member(f1(complement(union(u,v)),w),complement(u))* equal(complement(union(u,v)),w) member(f1(complement(union(u,v)),w),w)*. % 299.97/300.37 104756[0:MRR:104576.0,5.0] || -> member(f1(union(u,v),complement(w)),complement(u))* member(f1(union(u,v),complement(w)),w)* equal(union(u,v),complement(w)). % 299.97/300.37 104895[0:Res:18827.1,3811.0] little_set(u) || -> member(u,complement(v)) equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(union(x,v)))*. % 299.97/300.37 104894[0:Res:18827.1,3829.0] little_set(u) || -> member(u,complement(v)) equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(union(x,v)))*. % 299.97/300.37 105100[0:MRR:104940.0,5.0] || -> member(f1(u,complement(union(v,w))),complement(w))* equal(u,complement(union(v,w))) member(f1(u,complement(union(v,w))),u)*. % 299.97/300.37 105101[0:MRR:104923.0,5.0] || -> member(f1(complement(union(u,v)),w),complement(v))* equal(complement(union(u,v)),w) member(f1(complement(union(u,v)),w),w)*. % 299.97/300.37 105102[0:MRR:104920.0,5.0] || -> member(f1(union(u,v),complement(w)),complement(v))* member(f1(union(u,v),complement(w)),w)* equal(union(u,v),complement(w)). % 299.97/300.37 105342[0:Res:427.1,26698.0] || member(u,range_of(intersection(v,apply(cross_product(w,x),y)))) -> member(f27(u,intersection(v,apply(cross_product(w,x),y))),sigma(x))*. % 299.97/300.37 105340[0:Res:456.1,26698.0] || member(u,sigma(intersection(v,apply(cross_product(w,x),y)))) -> member(f16(u,intersection(v,apply(cross_product(w,x),y))),sigma(x))*. % 299.97/300.37 105338[0:Res:494.1,26698.0] || member(u,domain_of(intersection(v,apply(cross_product(w,x),y)))) -> member(f8(u,intersection(v,apply(cross_product(w,x),y))),sigma(x))*. % 299.97/300.37 105298[0:Res:426.1,26698.0] || member(u,range_of(intersection(apply(cross_product(v,w),x),y))) -> member(f27(u,intersection(apply(cross_product(v,w),x),y)),sigma(w))*. % 299.97/300.37 105296[0:Res:455.1,26698.0] || member(u,sigma(intersection(apply(cross_product(v,w),x),y))) -> member(f16(u,intersection(apply(cross_product(v,w),x),y)),sigma(w))*. % 299.97/300.37 105294[0:Res:493.1,26698.0] || member(u,domain_of(intersection(apply(cross_product(v,w),x),y))) -> member(f8(u,intersection(apply(cross_product(v,w),x),y)),sigma(w))*. % 299.97/300.37 105274[16:Res:55073.2,26698.0] little_set(apply(cross_product(u,v),w)) || -> equal(apply(cross_product(u,v),w),a) member(f26(apply(cross_product(u,v),w)),sigma(v))*. % 299.97/300.37 5215[0:Obv:5187.0] little_set(u) little_set(v) single_valued_set(w) || member(singleton_set(singleton_set(v)),w) member(ordered_pair(v,u),w)* -> equal(u,v). % 299.97/300.37 8072[0:Res:33.2,257.0] || member(f17(complement(intersection(u,v)),w),v)* member(f17(complement(intersection(u,v)),w),u)* -> subset(complement(intersection(u,v)),w). % 299.97/300.37 9072[0:Res:33.2,260.0] || member(f23(u,complement(intersection(v,w))),w)* member(f23(u,complement(intersection(v,w))),v)* -> disjoint(u,complement(intersection(v,w))). % 299.97/300.37 9141[0:Res:33.2,256.0] || member(f23(complement(intersection(u,v)),w),v)* member(f23(complement(intersection(u,v)),w),u)* -> disjoint(complement(intersection(u,v)),w). % 299.97/300.37 10244[3:Res:960.2,6192.1] || member(u,infinity) subset(infinity,second(v))* member(v,w)* equal(first(v),x)* -> member(successor(u),apply(w,x))*. % 299.97/300.37 10937[2:Res:10.2,616.1] little_set(first(f27(non_ordered_pair(u,v),w))) || equal(first(f27(non_ordered_pair(u,v),w)),v)** member(non_ordered_pair(u,v),range_of(w)) -> . % 299.97/300.37 10936[2:Res:9.2,616.1] little_set(first(f27(non_ordered_pair(u,v),w))) || equal(first(f27(non_ordered_pair(u,v),w)),u)** member(non_ordered_pair(u,v),range_of(w)) -> . % 299.97/300.37 11354[3:Res:955.2,6192.1] || subset(u,second(v))* member(v,w)* equal(first(v),x)* -> subset(u,y) member(f17(u,y),apply(w,x))*. % 299.97/300.37 11436[3:Res:961.2,6192.1] || subset(u,second(v))* member(v,w)* equal(first(v),x)* -> disjoint(y,u) member(f23(y,u),apply(w,x))*. % 299.97/300.37 11549[3:Res:954.2,6192.1] || subset(u,second(v))* member(v,w)* equal(first(v),x)* -> disjoint(u,y) member(f23(u,y),apply(w,x))*. % 299.97/300.37 12308[0:SpR:95.1,1013.1] || member(u,image(v,w)) member(f22(u,v,w),converse(powerset(x))) -> subset(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.37 12304[0:SpR:119.1,1013.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(powerset(x))) -> subset(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.37 13304[3:Res:538.1,6176.0] || -> disjoint(cross_product(u,converse(v)),w) ordered_pair_predicate(ordered_pair(second(second(f23(cross_product(u,converse(v)),w))),first(second(f23(cross_product(u,converse(v)),w)))))*. % 299.97/300.37 13347[3:Res:543.1,6176.0] || -> disjoint(u,cross_product(v,converse(w))) ordered_pair_predicate(ordered_pair(second(second(f23(u,cross_product(v,converse(w))))),first(second(f23(u,cross_product(v,converse(w)))))))*. % 299.97/300.37 13421[3:Res:551.1,6176.0] || -> disjoint(cross_product(converse(u),v),w) ordered_pair_predicate(ordered_pair(second(first(f23(cross_product(converse(u),v),w))),first(first(f23(cross_product(converse(u),v),w)))))*. % 299.97/300.37 13499[3:Res:556.1,6176.0] || -> disjoint(u,cross_product(converse(v),w)) ordered_pair_predicate(ordered_pair(second(first(f23(u,cross_product(converse(v),w)))),first(first(f23(u,cross_product(converse(v),w))))))*. % 299.97/300.37 13640[3:Res:539.1,6176.0] || -> subset(cross_product(u,converse(v)),w) ordered_pair_predicate(ordered_pair(second(second(f17(cross_product(u,converse(v)),w))),first(second(f17(cross_product(u,converse(v)),w)))))*. % 299.97/300.37 13703[3:Res:552.1,6176.0] || -> subset(cross_product(converse(u),v),w) ordered_pair_predicate(ordered_pair(second(first(f17(cross_product(converse(u),v),w))),first(first(f17(cross_product(converse(u),v),w)))))*. % 299.97/300.37 14364[0:Res:33.2,1019.1] || member(ordered_pair(second(u),first(u)),v)* member(ordered_pair(second(u),first(u)),w)* member(u,converse(complement(intersection(w,v))))* -> . % 299.97/300.37 14363[0:Res:120.1,1019.1] || member(ordered_pair(second(u),first(u)),apply(v,w)) member(u,converse(complement(second(f28(ordered_pair(second(u),first(u)),v,w)))))* -> . % 299.97/300.37 14556[0:Res:33.2,1215.0] || member(ordered_pair(f19(u),f21(u)),v)* member(ordered_pair(f19(u),f21(u)),w)* disjoint(intersection(w,v),u)* -> single_valued_set(u). % 299.97/300.37 14555[0:Res:120.1,1215.0] || member(ordered_pair(f19(u),f21(u)),apply(v,w)) disjoint(second(f28(ordered_pair(f19(u),f21(u)),v,w)),u)* -> single_valued_set(u). % 299.97/300.37 14621[0:Res:33.2,1216.0] || member(ordered_pair(f19(u),f20(u)),v)* member(ordered_pair(f19(u),f20(u)),w)* disjoint(intersection(w,v),u)* -> single_valued_set(u). % 299.97/300.37 14620[0:Res:120.1,1216.0] || member(ordered_pair(f19(u),f20(u)),apply(v,w)) disjoint(second(f28(ordered_pair(f19(u),f20(u)),v,w)),u)* -> single_valued_set(u). % 299.97/300.37 14812[0:Res:556.1,314.0] || member(first(f23(u,cross_product(intersection(complement(v),complement(w)),x))),union(v,w))* -> disjoint(u,cross_product(intersection(complement(v),complement(w)),x)). % 299.97/300.37 14811[0:Res:552.1,314.0] || member(first(f17(cross_product(intersection(complement(u),complement(v)),w),x)),union(u,v))* -> subset(cross_product(intersection(complement(u),complement(v)),w),x). % 299.97/300.37 14810[0:Res:551.1,314.0] || member(first(f23(cross_product(intersection(complement(u),complement(v)),w),x)),union(u,v))* -> disjoint(cross_product(intersection(complement(u),complement(v)),w),x). % 299.97/300.37 14797[0:Res:543.1,314.0] || member(second(f23(u,cross_product(v,intersection(complement(w),complement(x))))),union(w,x))* -> disjoint(u,cross_product(v,intersection(complement(w),complement(x)))). % 299.97/300.37 14792[0:Res:539.1,314.0] || member(second(f17(cross_product(u,intersection(complement(v),complement(w))),x)),union(v,w))* -> subset(cross_product(u,intersection(complement(v),complement(w))),x). % 299.97/300.37 14791[0:Res:538.1,314.0] || member(second(f23(cross_product(u,intersection(complement(v),complement(w))),x)),union(v,w))* -> disjoint(cross_product(u,intersection(complement(v),complement(w))),x). % 299.97/300.37 14776[0:Res:94.1,314.0] || member(u,image(intersection(complement(v),complement(w)),x)) member(first(f22(u,intersection(complement(v),complement(w)),x)),union(v,w))* -> . % 299.97/300.37 14769[0:Res:86.1,314.0] || member(ordered_pair(f19(intersection(complement(u),complement(v))),f20(intersection(complement(u),complement(v)))),union(u,v))* -> single_valued_set(intersection(complement(u),complement(v))). % 299.97/300.37 14768[0:Res:87.1,314.0] || member(ordered_pair(f19(intersection(complement(u),complement(v))),f21(intersection(complement(u),complement(v)))),union(u,v))* -> single_valued_set(intersection(complement(u),complement(v))). % 299.97/300.37 14885[0:Res:957.2,1020.0] || subset(u,converse(intersection(v,w)))* -> single_valued_set(u) member(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),v)*. % 299.97/300.37 14884[0:Res:956.2,1020.0] || subset(u,converse(intersection(v,w)))* -> single_valued_set(u) member(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),v)*. % 299.97/300.37 14991[0:Res:957.2,1021.0] || subset(u,converse(intersection(v,w)))* -> single_valued_set(u) member(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),w)*. % 299.97/300.37 14990[0:Res:956.2,1021.0] || subset(u,converse(intersection(v,w)))* -> single_valued_set(u) member(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),w)*. % 299.97/300.37 16017[0:SpR:134.1,1080.2] little_set(u) || member(v,compose(w,x)) equal(u,non_ordered_pair(f29(v,w,x),f30(v,w,x)))* -> member(u,v)*. % 299.97/300.37 17114[3:Res:455.1,6176.0] || member(u,sigma(intersection(converse(v),w))) -> ordered_pair_predicate(ordered_pair(second(f16(u,intersection(converse(v),w))),first(f16(u,intersection(converse(v),w)))))*. % 299.97/300.37 17215[3:Res:456.1,6176.0] || member(u,sigma(intersection(v,converse(w)))) -> ordered_pair_predicate(ordered_pair(second(f16(u,intersection(v,converse(w)))),first(f16(u,intersection(v,converse(w))))))*. % 299.97/300.37 17950[0:Res:46.1,1014.0] || member(u,converse(converse(cross_product(v,w))))* -> member(first(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u))))),v)*. % 299.97/300.37 17946[0:Res:964.2,1014.0] || member(u,sigma(v)) subset(v,converse(cross_product(w,x)))* -> member(first(ordered_pair(second(f16(u,v)),first(f16(u,v)))),w)*. % 299.97/300.37 17916[0:Res:100.1,1014.0] || -> disjoint(u,converse(cross_product(v,w))) member(first(ordered_pair(second(f23(u,converse(cross_product(v,w)))),first(f23(u,converse(cross_product(v,w)))))),v)*. % 299.97/300.37 17903[0:Res:99.1,1014.0] || -> disjoint(converse(cross_product(u,v)),w) member(first(ordered_pair(second(f23(converse(cross_product(u,v)),w)),first(f23(converse(cross_product(u,v)),w)))),u)*. % 299.97/300.37 17901[0:Res:71.1,1014.0] || -> subset(converse(cross_product(u,v)),w) member(first(ordered_pair(second(f17(converse(cross_product(u,v)),w)),first(f17(converse(cross_product(u,v)),w)))),u)*. % 299.97/300.37 17971[0:Rew:108.1,17949.1] || member(u,range_of(intersection(v,converse(cross_product(w,x))))) -> member(first(ordered_pair(u,first(f27(u,intersection(v,converse(cross_product(w,x))))))),w)*. % 299.97/300.37 17972[0:Rew:39.1,17945.1] || member(u,domain_of(intersection(v,converse(cross_product(w,x))))) -> member(first(ordered_pair(second(f8(u,intersection(v,converse(cross_product(w,x))))),u)),w)*. % 299.97/300.37 17973[0:Rew:108.1,17929.1] || member(u,range_of(intersection(converse(cross_product(v,w)),x))) -> member(first(ordered_pair(u,first(f27(u,intersection(converse(cross_product(v,w)),x))))),v)*. % 299.97/300.37 17974[0:Rew:39.1,17925.1] || member(u,domain_of(intersection(converse(cross_product(v,w)),x))) -> member(first(ordered_pair(second(f8(u,intersection(converse(cross_product(v,w)),x))),u)),v)*. % 299.97/300.37 18074[0:Res:46.1,1015.0] || member(u,converse(converse(cross_product(v,w))))* -> member(second(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u))))),w)*. % 299.97/300.37 18070[0:Res:964.2,1015.0] || member(u,sigma(v)) subset(v,converse(cross_product(w,x)))* -> member(second(ordered_pair(second(f16(u,v)),first(f16(u,v)))),x)*. % 299.97/300.37 18040[0:Res:100.1,1015.0] || -> disjoint(u,converse(cross_product(v,w))) member(second(ordered_pair(second(f23(u,converse(cross_product(v,w)))),first(f23(u,converse(cross_product(v,w)))))),w)*. % 299.97/300.37 18027[0:Res:99.1,1015.0] || -> disjoint(converse(cross_product(u,v)),w) member(second(ordered_pair(second(f23(converse(cross_product(u,v)),w)),first(f23(converse(cross_product(u,v)),w)))),v)*. % 299.97/300.37 18025[0:Res:71.1,1015.0] || -> subset(converse(cross_product(u,v)),w) member(second(ordered_pair(second(f17(converse(cross_product(u,v)),w)),first(f17(converse(cross_product(u,v)),w)))),v)*. % 299.97/300.37 18095[0:Rew:108.1,18073.1] || member(u,range_of(intersection(v,converse(cross_product(w,x))))) -> member(second(ordered_pair(u,first(f27(u,intersection(v,converse(cross_product(w,x))))))),x)*. % 299.97/300.37 18096[0:Rew:39.1,18069.1] || member(u,domain_of(intersection(v,converse(cross_product(w,x))))) -> member(second(ordered_pair(second(f8(u,intersection(v,converse(cross_product(w,x))))),u)),x)*. % 299.97/300.37 18097[0:Rew:108.1,18053.1] || member(u,range_of(intersection(converse(cross_product(v,w)),x))) -> member(second(ordered_pair(u,first(f27(u,intersection(converse(cross_product(v,w)),x))))),w)*. % 299.97/300.37 18098[0:Rew:39.1,18049.1] || member(u,domain_of(intersection(converse(cross_product(v,w)),x))) -> member(second(ordered_pair(second(f8(u,intersection(converse(cross_product(v,w)),x))),u)),w)*. % 299.97/300.37 18175[2:Res:4115.1,644.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),domain_of(v)) -> member(u,converse(complement(second(f8(ordered_pair(second(u),first(u)),v)))))*. % 299.97/300.37 18160[0:Res:4115.1,8.0] ordered_pair_predicate(u) || -> member(u,converse(complement(non_ordered_pair(v,w))))* equal(ordered_pair(second(u),first(u)),w)* equal(ordered_pair(second(u),first(u)),v)*. % 299.97/300.37 18281[0:Res:279.1,547.0] || -> single_valued_set(intersection(u,range_of(cross_product(v,w)))) member(ordered_pair(f19(intersection(u,range_of(cross_product(v,w)))),f21(intersection(u,range_of(cross_product(v,w))))),w)*. % 299.97/300.37 18279[0:Res:279.1,560.0] || -> single_valued_set(intersection(u,domain_of(cross_product(v,w)))) member(ordered_pair(f19(intersection(u,domain_of(cross_product(v,w)))),f21(intersection(u,domain_of(cross_product(v,w))))),v)*. % 299.97/300.37 18266[0:Res:279.1,4238.0] || equal(u,ordered_pair(f19(intersection(v,compose(w,x))),f21(intersection(v,compose(w,x)))))* -> single_valued_set(intersection(v,compose(w,x))) ordered_pair_predicate(u)*. % 299.97/300.37 18418[0:Res:280.1,547.0] || -> single_valued_set(intersection(u,range_of(cross_product(v,w)))) member(ordered_pair(f19(intersection(u,range_of(cross_product(v,w)))),f20(intersection(u,range_of(cross_product(v,w))))),w)*. % 299.97/300.37 18416[0:Res:280.1,560.0] || -> single_valued_set(intersection(u,domain_of(cross_product(v,w)))) member(ordered_pair(f19(intersection(u,domain_of(cross_product(v,w)))),f20(intersection(u,domain_of(cross_product(v,w))))),v)*. % 299.97/300.37 18403[0:Res:280.1,4238.0] || equal(u,ordered_pair(f19(intersection(v,compose(w,x))),f20(intersection(v,compose(w,x)))))* -> single_valued_set(intersection(v,compose(w,x))) ordered_pair_predicate(u)*. % 299.97/300.37 18500[0:Res:287.1,547.0] || -> single_valued_set(intersection(range_of(cross_product(u,v)),w)) member(ordered_pair(f19(intersection(range_of(cross_product(u,v)),w)),f21(intersection(range_of(cross_product(u,v)),w))),v)*. % 299.97/300.37 18498[0:Res:287.1,560.0] || -> single_valued_set(intersection(domain_of(cross_product(u,v)),w)) member(ordered_pair(f19(intersection(domain_of(cross_product(u,v)),w)),f21(intersection(domain_of(cross_product(u,v)),w))),u)*. % 299.97/300.37 18485[0:Res:287.1,4238.0] || equal(u,ordered_pair(f19(intersection(compose(v,w),x)),f21(intersection(compose(v,w),x))))* -> single_valued_set(intersection(compose(v,w),x)) ordered_pair_predicate(u)*. % 299.97/300.37 18642[0:Res:288.1,547.0] || -> single_valued_set(intersection(range_of(cross_product(u,v)),w)) member(ordered_pair(f19(intersection(range_of(cross_product(u,v)),w)),f20(intersection(range_of(cross_product(u,v)),w))),v)*. % 299.97/300.37 18640[0:Res:288.1,560.0] || -> single_valued_set(intersection(domain_of(cross_product(u,v)),w)) member(ordered_pair(f19(intersection(domain_of(cross_product(u,v)),w)),f20(intersection(domain_of(cross_product(u,v)),w))),u)*. % 299.97/300.37 18627[0:Res:288.1,4238.0] || equal(u,ordered_pair(f19(intersection(compose(v,w),x)),f20(intersection(compose(v,w),x))))* -> single_valued_set(intersection(compose(v,w),x)) ordered_pair_predicate(u)*. % 299.97/300.37 18932[0:Res:384.1,1137.1] little_set(complement(u)) little_set(v) || -> member(complement(u),union(w,x))* member(v,u)* member(v,sigma(intersection(complement(w),complement(x))))*. % 299.97/300.37 21016[0:MRR:21015.0,92.1] || member(u,v) member(first(f22(u,w,complement(cross_product(x,v)))),x)* member(u,image(w,complement(cross_product(x,v)))) -> . % 299.97/300.37 21080[0:MRR:21079.0,117.1] || member(second(f28(u,complement(cross_product(v,w)),x)),w)* member(x,v) member(u,apply(complement(cross_product(v,w)),x)) -> . % 299.97/300.37 21135[0:Res:3651.2,1137.1] little_set(u) || member(complement(v),cross_product(w,universal_set))* member(complement(v),x)* -> member(u,v)* member(u,sigma(restrict(x,w)))*. % 299.97/300.37 21243[0:Res:46.1,1421.0] || member(u,converse(ordered_pair(v,w)))* -> equal(ordered_pair(second(u),first(u)),non_ordered_pair(v,w))* equal(ordered_pair(second(u),first(u)),singleton_set(v)). % 299.97/300.37 21240[0:Res:963.2,1421.0] || member(u,range_of(v))* subset(v,ordered_pair(w,x))* -> equal(f27(u,v),non_ordered_pair(w,x))* equal(f27(u,v),singleton_set(w)). % 299.97/300.37 21238[0:Res:964.2,1421.0] || member(u,sigma(v))* subset(v,ordered_pair(w,x))* -> equal(f16(u,v),non_ordered_pair(w,x))* equal(f16(u,v),singleton_set(w)). % 299.97/300.37 21236[0:Res:965.2,1421.0] || member(u,domain_of(v))* subset(v,ordered_pair(w,x))* -> equal(f8(u,v),non_ordered_pair(w,x))* equal(f8(u,v),singleton_set(w)). % 299.97/300.37 21218[0:Res:107.1,1421.0] || member(u,range_of(ordered_pair(v,w)))* -> equal(f27(u,ordered_pair(v,w)),non_ordered_pair(v,w)) equal(f27(u,ordered_pair(v,w)),singleton_set(v)). % 299.97/300.37 21216[0:Res:66.1,1421.0] || member(u,sigma(ordered_pair(v,w)))* -> equal(f16(u,ordered_pair(v,w)),non_ordered_pair(v,w)) equal(f16(u,ordered_pair(v,w)),singleton_set(v)). % 299.97/300.37 21214[0:Res:38.1,1421.0] || member(u,domain_of(ordered_pair(v,w)))* -> equal(f8(u,ordered_pair(v,w)),non_ordered_pair(v,w)) equal(f8(u,ordered_pair(v,w)),singleton_set(v)). % 299.97/300.37 21182[0:SpL:20.1,1421.0] || member(u,first(v)) member(w,v)* -> equal(w,non_ordered_pair(f4(u,v),f5(u,v)))* equal(w,singleton_set(f4(u,v))). % 299.97/300.37 21181[0:SpL:25.1,1421.0] || member(u,second(v)) member(w,v)* -> equal(w,non_ordered_pair(f6(u,v),f7(u,v)))* equal(w,singleton_set(f6(u,v))). % 299.97/300.37 21413[0:MRR:21402.0,92.1] || member(u,image(v,w)) subset(ordered_pair(u,first(f22(u,v,w))),x)* -> member(f22(u,v,w),converse(powerset(x))). % 299.97/300.37 21414[0:MRR:21397.0,117.1] || member(u,apply(v,w)) subset(ordered_pair(second(f28(u,v,w)),w),x)* -> member(f28(u,v,w),converse(powerset(x))). % 299.97/300.37 21476[0:Res:540.1,274.0] || -> single_valued_set(cross_product(u,restrict(v,w))) member(second(ordered_pair(f19(cross_product(u,restrict(v,w))),f21(cross_product(u,restrict(v,w))))),cross_product(w,universal_set))*. % 299.97/300.37 21636[0:Res:541.1,274.0] || -> single_valued_set(cross_product(u,restrict(v,w))) member(second(ordered_pair(f19(cross_product(u,restrict(v,w))),f20(cross_product(u,restrict(v,w))))),cross_product(w,universal_set))*. % 299.97/300.37 21715[0:Res:553.1,274.0] || -> single_valued_set(cross_product(restrict(u,v),w)) member(first(ordered_pair(f19(cross_product(restrict(u,v),w)),f21(cross_product(restrict(u,v),w)))),cross_product(v,universal_set))*. % 299.97/300.37 21804[0:Res:554.1,274.0] || -> single_valued_set(cross_product(restrict(u,v),w)) member(first(ordered_pair(f19(cross_product(restrict(u,v),w)),f20(cross_product(restrict(u,v),w)))),cross_product(v,universal_set))*. % 299.97/300.37 21872[0:Res:395.0,1009.0] || subset(u,v) -> subset(w,complement(converse(u))) member(ordered_pair(second(f17(w,complement(converse(u)))),first(f17(w,complement(converse(u))))),v)*. % 299.97/300.37 21861[0:Res:4258.0,1009.0] || subset(u,v) -> equal(complement(converse(u)),universal_set) member(ordered_pair(second(f1(complement(converse(u)),universal_set)),first(f1(complement(converse(u)),universal_set))),v)*. % 299.97/300.37 21996[0:Res:1080.2,1136.2] little_set(powerset(u)) little_set(v) || equal(powerset(u),non_ordered_pair(w,x))* subset(v,u)* -> member(v,sigma(ordered_pair(w,x)))*. % 299.97/300.37 22357[2:Res:5009.3,616.1] little_set(u) little_set(v) || member(first(f27(first(ordered_pair(v,u)),w)),v)* member(first(ordered_pair(v,u)),range_of(w)) -> . % 299.97/300.37 22351[0:Res:5009.3,377.1] little_set(u) little_set(v) ordered_pair_predicate(w) || member(ordered_pair(second(w),first(w)),v)* -> member(w,converse(first(ordered_pair(v,u))))*. % 299.97/300.37 22347[0:Res:5009.3,1140.1] little_set(u) little_set(v) || member(f4(w,x),v)* member(w,first(x)) -> member(w,sigma(first(ordered_pair(v,u))))*. % 299.97/300.37 22346[0:Res:5009.3,1139.1] little_set(u) little_set(v) || member(f7(w,x),v)* member(w,second(x)) -> member(w,sigma(first(ordered_pair(v,u))))*. % 299.97/300.37 22345[0:Res:5009.3,1137.1] little_set(u) little_set(v) little_set(w) || member(complement(x),v)* -> member(w,x)* member(w,sigma(first(ordered_pair(v,u))))*. % 299.97/300.37 22344[0:Res:5009.3,1223.1] little_set(u) little_set(v) || member(f27(w,x),v)* member(w,range_of(x)) disjoint(first(ordered_pair(v,u)),x)* -> . % 299.97/300.37 22343[0:Res:5009.3,1138.1] little_set(u) little_set(v) || member(f16(w,x),v)* member(w,sigma(x)) -> member(w,sigma(first(ordered_pair(v,u))))*. % 299.97/300.37 22342[0:Res:5009.3,1224.1] little_set(u) little_set(v) || member(f16(w,x),v)* member(w,sigma(x)) disjoint(first(ordered_pair(v,u)),x)* -> . % 299.97/300.37 22341[0:Res:5009.3,1225.1] little_set(u) little_set(v) || member(f8(w,x),v)* member(w,domain_of(x)) disjoint(first(ordered_pair(v,u)),x)* -> . % 299.97/300.37 22485[0:Res:4115.1,5018.1] ordered_pair_predicate(u) ordered_pair_predicate(v) || equal(w,v)* -> member(u,converse(complement(f2(v))))* member(ordered_pair(second(u),first(u)),first(w))*. % 299.97/300.37 22484[0:Res:427.1,5018.1] ordered_pair_predicate(u) || member(v,range_of(intersection(w,f2(u)))) equal(x,u) -> member(f27(v,intersection(w,f2(u))),first(x))*. % 299.97/300.37 22482[0:Res:456.1,5018.1] ordered_pair_predicate(u) || member(v,sigma(intersection(w,f2(u)))) equal(x,u) -> member(f16(v,intersection(w,f2(u))),first(x))*. % 299.97/300.37 22480[0:Res:494.1,5018.1] ordered_pair_predicate(u) || member(v,domain_of(intersection(w,f2(u)))) equal(x,u) -> member(f8(v,intersection(w,f2(u))),first(x))*. % 299.97/300.37 22462[0:Res:6.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(w,f2(u)) member(f1(w,f2(u)),w)* member(f1(w,f2(u)),first(v))*. % 299.97/300.37 22460[0:Res:426.1,5018.1] ordered_pair_predicate(u) || member(v,range_of(intersection(f2(u),w))) equal(x,u) -> member(f27(v,intersection(f2(u),w)),first(x))*. % 299.97/300.37 22458[0:Res:455.1,5018.1] ordered_pair_predicate(u) || member(v,sigma(intersection(f2(u),w))) equal(x,u) -> member(f16(v,intersection(f2(u),w)),first(x))*. % 299.97/300.37 22456[0:Res:493.1,5018.1] ordered_pair_predicate(u) || member(v,domain_of(intersection(f2(u),w))) equal(x,u) -> member(f8(v,intersection(f2(u),w)),first(x))*. % 299.97/300.37 22438[0:Res:6.2,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),w) member(f1(f2(u),w),w)* member(f1(f2(u),w),first(v))*. % 299.97/300.37 22602[2:Res:5054.3,616.1] little_set(u) little_set(v) || member(first(f27(second(ordered_pair(v,u)),w)),u)* member(second(ordered_pair(v,u)),range_of(w)) -> . % 299.97/300.37 22595[0:Res:5054.3,377.1] little_set(u) little_set(v) ordered_pair_predicate(w) || member(ordered_pair(second(w),first(w)),u)* -> member(w,converse(second(ordered_pair(v,u))))*. % 299.97/300.37 22591[0:Res:5054.3,1140.1] little_set(u) little_set(v) || member(f4(w,x),u)* member(w,first(x)) -> member(w,sigma(second(ordered_pair(v,u))))*. % 299.97/300.37 22590[0:Res:5054.3,1139.1] little_set(u) little_set(v) || member(f7(w,x),u)* member(w,second(x)) -> member(w,sigma(second(ordered_pair(v,u))))*. % 299.97/300.37 22589[0:Res:5054.3,1137.1] little_set(u) little_set(v) little_set(w) || member(complement(x),u)* -> member(w,x)* member(w,sigma(second(ordered_pair(v,u))))*. % 299.97/300.37 22588[0:Res:5054.3,1223.1] little_set(u) little_set(v) || member(f27(w,x),u)* member(w,range_of(x)) disjoint(second(ordered_pair(v,u)),x)* -> . % 299.97/300.37 22587[0:Res:5054.3,1138.1] little_set(u) little_set(v) || member(f16(w,x),u)* member(w,sigma(x)) -> member(w,sigma(second(ordered_pair(v,u))))*. % 299.97/300.37 22586[0:Res:5054.3,1224.1] little_set(u) little_set(v) || member(f16(w,x),u)* member(w,sigma(x)) disjoint(second(ordered_pair(v,u)),x)* -> . % 299.97/300.37 22585[0:Res:5054.3,1225.1] little_set(u) little_set(v) || member(f8(w,x),u)* member(w,domain_of(x)) disjoint(second(ordered_pair(v,u)),x)* -> . % 299.97/300.37 22693[0:Res:4115.1,5063.1] ordered_pair_predicate(u) ordered_pair_predicate(v) || equal(w,v)* -> member(u,converse(complement(f3(v))))* member(ordered_pair(second(u),first(u)),second(w))*. % 299.97/300.37 22692[0:Res:427.1,5063.1] ordered_pair_predicate(u) || member(v,range_of(intersection(w,f3(u)))) equal(x,u) -> member(f27(v,intersection(w,f3(u))),second(x))*. % 299.97/300.37 22690[0:Res:456.1,5063.1] ordered_pair_predicate(u) || member(v,sigma(intersection(w,f3(u)))) equal(x,u) -> member(f16(v,intersection(w,f3(u))),second(x))*. % 299.97/300.37 22688[0:Res:494.1,5063.1] ordered_pair_predicate(u) || member(v,domain_of(intersection(w,f3(u)))) equal(x,u) -> member(f8(v,intersection(w,f3(u))),second(x))*. % 299.97/300.37 22670[0:Res:6.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(w,f3(u)) member(f1(w,f3(u)),w)* member(f1(w,f3(u)),second(v))*. % 299.97/300.37 22668[0:Res:426.1,5063.1] ordered_pair_predicate(u) || member(v,range_of(intersection(f3(u),w))) equal(x,u) -> member(f27(v,intersection(f3(u),w)),second(x))*. % 299.97/300.37 22666[0:Res:455.1,5063.1] ordered_pair_predicate(u) || member(v,sigma(intersection(f3(u),w))) equal(x,u) -> member(f16(v,intersection(f3(u),w)),second(x))*. % 299.97/300.37 22664[0:Res:493.1,5063.1] ordered_pair_predicate(u) || member(v,domain_of(intersection(f3(u),w))) equal(x,u) -> member(f8(v,intersection(f3(u),w)),second(x))*. % 299.97/300.37 22646[0:Res:6.2,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),w) member(f1(f3(u),w),w)* member(f1(f3(u),w),second(v))*. % 299.97/300.37 22830[0:Res:3821.1,274.0] || -> equal(restrict(u,v),powerset(w)) subset(f1(restrict(u,v),powerset(w)),w)* member(f1(restrict(u,v),powerset(w)),cross_product(v,universal_set))*. % 299.97/300.37 22925[0:Res:3839.1,274.0] || -> equal(powerset(u),restrict(v,w)) subset(f1(powerset(u),restrict(v,w)),u)* member(f1(powerset(u),restrict(v,w)),cross_product(w,universal_set))*. % 299.97/300.37 23012[2:Res:1339.2,644.1] || member(u,image(v,w)) subset(w,second(f8(f22(u,v,w),x)))* member(f22(u,v,w),domain_of(x)) -> . % 299.97/300.37 22994[0:Res:1339.2,8.0] || member(u,image(v,w))* subset(w,non_ordered_pair(x,y))* -> equal(f22(u,v,w),y)* equal(f22(u,v,w),x)*. % 299.97/300.37 23046[0:Rew:95.1,22995.3] || member(u,image(v,w)) subset(w,converse(x))* subset(x,y)* -> member(ordered_pair(u,first(f22(u,v,w))),y)*. % 299.97/300.37 23104[2:Res:1274.2,644.1] || member(u,apply(v,w)) subset(v,second(f8(f28(u,v,w),x)))* member(f28(u,v,w),domain_of(x)) -> . % 299.97/300.37 23086[0:Res:1274.2,8.0] || member(u,apply(v,w))* subset(v,non_ordered_pair(x,y))* -> equal(f28(u,v,w),y)* equal(f28(u,v,w),x)*. % 299.97/300.37 23138[0:Rew:119.1,23087.3] || member(u,apply(v,w)) subset(v,converse(x))* subset(x,y)* -> member(ordered_pair(second(f28(u,v,w)),w),y)*. % 299.97/300.37 23196[0:Res:1350.1,1354.0] || member(u,image(v,intersection(image(w,cross_product(x,y)),z))) -> member(f22(u,v,intersection(image(w,cross_product(x,y)),z)),y)*. % 299.97/300.37 23281[0:Res:1351.1,1354.0] || member(u,image(v,intersection(w,image(x,cross_product(y,z))))) -> member(f22(u,v,intersection(w,image(x,cross_product(y,z)))),z)*. % 299.97/300.37 23366[0:Res:1285.1,1354.0] || member(u,apply(intersection(image(v,cross_product(w,x)),y),z)) -> member(f28(u,intersection(image(v,cross_product(w,x)),y),z),x)*. % 299.97/300.37 23467[0:Res:1286.1,1354.0] || member(u,apply(intersection(v,image(w,cross_product(x,y))),z)) -> member(f28(u,intersection(v,image(w,cross_product(x,y))),z),y)*. % 299.97/300.37 23958[0:Res:67.1,1227.1] || member(ordered_pair(second(u),first(u)),sigma(v)) member(u,converse(w)) disjoint(f16(ordered_pair(second(u),first(u)),v),w)* -> . % 299.97/300.37 23957[0:Res:21.1,1227.1] || member(ordered_pair(second(u),first(u)),first(v)) member(u,converse(w)) disjoint(f4(ordered_pair(second(u),first(u)),v),w)* -> . % 299.97/300.37 23956[0:Res:26.1,1227.1] || member(ordered_pair(second(u),first(u)),second(v)) member(u,converse(w)) disjoint(f7(ordered_pair(second(u),first(u)),v),w)* -> . % 299.97/300.37 24306[0:Res:66.1,1163.0] || member(u,sigma(converse(v))) member(v,w) -> member(ordered_pair(second(f16(u,converse(v))),first(f16(u,converse(v)))),sigma(w))*. % 299.97/300.37 24302[0:Res:955.2,1163.0] || subset(u,converse(v))* member(v,w)* -> subset(u,x) member(ordered_pair(second(f17(u,x)),first(f17(u,x))),sigma(w))*. % 299.97/300.37 24299[0:Res:961.2,1163.0] || subset(u,converse(v))* member(v,w)* -> disjoint(x,u) member(ordered_pair(second(f23(x,u)),first(f23(x,u))),sigma(w))*. % 299.97/300.37 24297[0:Res:954.2,1163.0] || subset(u,converse(v))* member(v,w)* -> disjoint(u,x) member(ordered_pair(second(f23(u,x)),first(f23(u,x))),sigma(w))*. % 299.97/300.37 24373[0:Rew:108.1,24336.2] || member(u,range_of(intersection(v,converse(w)))) member(w,x) -> member(ordered_pair(u,first(f27(u,intersection(v,converse(w))))),sigma(x))*. % 299.97/300.37 24374[0:Rew:39.1,24332.2] || member(u,domain_of(intersection(v,converse(w)))) member(w,x) -> member(ordered_pair(second(f8(u,intersection(v,converse(w)))),u),sigma(x))*. % 299.97/300.37 24375[0:Rew:108.1,24309.2] || member(u,range_of(intersection(converse(v),w))) member(v,x) -> member(ordered_pair(u,first(f27(u,intersection(converse(v),w)))),sigma(x))*. % 299.97/300.37 24376[0:Rew:39.1,24305.2] || member(u,domain_of(intersection(converse(v),w))) member(v,x) -> member(ordered_pair(second(f8(u,intersection(converse(v),w))),u),sigma(x))*. % 299.97/300.37 25114[0:Rew:36.0,25077.2,36.0,25077.1] || member(f1(u,union(v,w)),intersection(complement(v),complement(w)))* -> equal(u,union(v,w)) member(f1(u,union(v,w)),u)*. % 299.97/300.37 25117[0:MRR:25098.0,5.0] || equal(f1(u,complement(ordered_pair(v,w))),singleton_set(v)) -> equal(u,complement(ordered_pair(v,w))) member(f1(u,complement(ordered_pair(v,w))),u)*. % 299.97/300.37 25182[0:Rew:36.0,25143.2,36.0,25143.1] || member(f1(union(u,v),w),intersection(complement(u),complement(v)))* -> equal(union(u,v),w) member(f1(union(u,v),w),w)*. % 299.97/300.37 25185[0:MRR:25164.0,5.0] || equal(f1(complement(ordered_pair(u,v)),w),singleton_set(u)) -> equal(complement(ordered_pair(u,v)),w) member(f1(complement(ordered_pair(u,v)),w),w)*. % 299.97/300.37 25255[0:Rew:36.0,25220.2,36.0,25220.1] || member(f1(u,union(v,w)),u)* -> member(f1(u,union(v,w)),intersection(complement(v),complement(w)))* equal(u,union(v,w)). % 299.97/300.37 25258[0:MRR:25241.0,5.0] || equal(f1(ordered_pair(u,v),complement(w)),singleton_set(u)) -> member(f1(ordered_pair(u,v),complement(w)),w)* equal(ordered_pair(u,v),complement(w)). % 299.97/300.37 25415[0:Res:1544.2,314.0] || member(u,image(v,w)) subset(v,intersection(complement(x),complement(y))) member(first(f22(u,v,w)),union(x,y))* -> . % 299.97/300.37 25514[0:MRR:25513.0,117.1] || member(second(f28(u,v,w)),x)* member(w,y)* member(u,apply(v,w)) disjoint(cross_product(y,x),v)* -> . % 299.97/300.37 25648[0:MRR:25647.0,92.1] || member(u,v)* member(first(f22(u,w,x)),y)* member(u,image(w,x)) disjoint(cross_product(y,v),x)* -> . % 299.97/300.37 25767[0:Res:1344.1,4238.0] || member(u,image(v,cross_product(compose(w,x),y))) equal(z,first(f22(u,v,cross_product(compose(w,x),y))))* -> ordered_pair_predicate(z)*. % 299.97/300.37 25904[0:Res:1555.1,4238.0] || member(u,image(intersection(compose(v,w),x),y)) equal(z,first(f22(u,intersection(compose(v,w),x),y)))* -> ordered_pair_predicate(z)*. % 299.97/300.37 26061[0:Res:1556.1,4238.0] || member(u,image(intersection(v,compose(w,x)),y)) equal(z,first(f22(u,intersection(v,compose(w,x)),y)))* -> ordered_pair_predicate(z)*. % 299.97/300.37 26131[0:Res:1280.1,4238.0] || member(u,apply(cross_product(v,compose(w,x)),y)) equal(z,second(f28(u,cross_product(v,compose(w,x)),y)))* -> ordered_pair_predicate(z)*. % 299.97/300.37 27078[0:Res:1549.1,274.0] || member(u,image(cross_product(restrict(v,w),x),y)) -> member(first(first(f22(u,cross_product(restrict(v,w),x),y))),cross_product(w,universal_set))*. % 299.97/300.37 27069[0:Res:1549.1,547.0] || member(u,image(cross_product(range_of(cross_product(v,w)),x),y)) -> member(first(first(f22(u,cross_product(range_of(cross_product(v,w)),x),y))),w)*. % 299.97/300.37 27067[0:Res:1549.1,560.0] || member(u,image(cross_product(domain_of(cross_product(v,w)),x),y)) -> member(first(first(f22(u,cross_product(domain_of(cross_product(v,w)),x),y))),v)*. % 299.97/300.37 27223[0:Res:1550.1,274.0] || member(u,image(cross_product(v,restrict(w,x)),y)) -> member(second(first(f22(u,cross_product(v,restrict(w,x)),y))),cross_product(x,universal_set))*. % 299.97/300.37 27214[0:Res:1550.1,547.0] || member(u,image(cross_product(v,range_of(cross_product(w,x))),y)) -> member(second(first(f22(u,cross_product(v,range_of(cross_product(w,x))),y))),x)*. % 299.97/300.37 27212[0:Res:1550.1,560.0] || member(u,image(cross_product(v,domain_of(cross_product(w,x))),y)) -> member(second(first(f22(u,cross_product(v,domain_of(cross_product(w,x))),y))),w)*. % 299.97/300.37 28022[0:Res:1079.2,3653.2] little_set(intersection(u,v)) || equal(intersection(u,v),w)* member(x,v)* member(x,u)* -> member(x,sigma(singleton_set(w)))*. % 299.97/300.37 28021[0:Res:77.2,3653.2] little_set(intersection(u,v)) || subset(intersection(u,v),w)* member(x,v)* member(x,u)* -> member(x,sigma(powerset(w)))*. % 299.97/300.37 28430[0:Res:1103.2,3811.0] little_set(u) || equal(u,singleton_set(v)) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(ordered_pair(v,x)))*. % 299.97/300.37 28422[0:Res:33.2,3811.0] || member(u,v) member(u,w) -> equal(x,u) member(f1(x,u),x)* member(f1(x,u),sigma(intersection(w,v)))*. % 299.97/300.37 28421[0:Res:120.1,3811.0] || member(u,apply(v,w)) -> equal(x,u) member(f1(x,u),x)* member(f1(x,u),sigma(second(f28(u,v,w))))*. % 299.97/300.37 28807[0:Res:1103.2,3829.0] little_set(u) || equal(u,singleton_set(v)) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(ordered_pair(v,x)))*. % 299.97/300.37 28799[0:Res:33.2,3829.0] || member(u,v) member(u,w) -> equal(u,x) member(f1(u,x),x)* member(f1(u,x),sigma(intersection(w,v)))*. % 299.97/300.37 28798[0:Res:120.1,3829.0] || member(u,apply(v,w)) -> equal(u,x) member(f1(u,x),x)* member(f1(u,x),sigma(second(f28(u,v,w))))*. % 299.97/300.37 29822[0:Res:46.1,5019.1] || member(u,converse(f4(v,w)))* member(v,first(w)) equal(x,w)* -> member(ordered_pair(second(u),first(u)),first(x))*. % 299.97/300.37 29802[0:Res:960.2,5019.1] || member(u,infinity) subset(infinity,f4(v,w))* member(v,first(w)) equal(x,w)* -> member(successor(u),first(x))*. % 299.97/300.37 29789[0:Res:107.1,5019.1] || member(u,range_of(f4(v,w))) member(v,first(w)) equal(x,w) -> member(f27(u,f4(v,w)),first(x))*. % 299.97/300.37 29787[0:Res:66.1,5019.1] || member(u,sigma(f4(v,w))) member(v,first(w)) equal(x,w) -> member(f16(u,f4(v,w)),first(x))*. % 299.97/300.37 29785[0:Res:38.1,5019.1] || member(u,domain_of(f4(v,w))) member(v,first(w)) equal(x,w) -> member(f8(u,f4(v,w)),first(x))*. % 299.97/300.37 29783[0:Res:955.2,5019.1] || subset(u,f4(v,w))* member(v,first(w)) equal(x,w)* -> subset(u,y) member(f17(u,y),first(x))*. % 299.97/300.37 29782[0:Res:395.0,5019.1] || member(u,first(v)) equal(w,v) -> subset(x,complement(f4(u,v))) member(f17(x,complement(f4(u,v))),first(w))*. % 299.97/300.37 29780[0:Res:961.2,5019.1] || subset(u,f4(v,w))* member(v,first(w)) equal(x,w)* -> disjoint(y,u) member(f23(y,u),first(x))*. % 299.97/300.37 29778[0:Res:954.2,5019.1] || subset(u,f4(v,w))* member(v,first(w)) equal(x,w)* -> disjoint(u,y) member(f23(u,y),first(x))*. % 299.97/300.37 29765[0:Res:4258.0,5019.1] || member(u,first(v)) equal(w,v) -> equal(complement(f4(u,v)),universal_set) member(f1(complement(f4(u,v)),universal_set),first(w))*. % 299.97/300.37 30235[0:Res:46.1,5020.1] || member(u,converse(f6(v,w)))* member(v,second(w)) equal(x,w)* -> member(ordered_pair(second(u),first(u)),first(x))*. % 299.97/300.37 30215[0:Res:960.2,5020.1] || member(u,infinity) subset(infinity,f6(v,w))* member(v,second(w)) equal(x,w)* -> member(successor(u),first(x))*. % 299.97/300.37 30202[0:Res:107.1,5020.1] || member(u,range_of(f6(v,w))) member(v,second(w)) equal(x,w) -> member(f27(u,f6(v,w)),first(x))*. % 299.97/300.37 30200[0:Res:66.1,5020.1] || member(u,sigma(f6(v,w))) member(v,second(w)) equal(x,w) -> member(f16(u,f6(v,w)),first(x))*. % 299.97/300.37 30198[0:Res:38.1,5020.1] || member(u,domain_of(f6(v,w))) member(v,second(w)) equal(x,w) -> member(f8(u,f6(v,w)),first(x))*. % 299.97/300.37 30196[0:Res:955.2,5020.1] || subset(u,f6(v,w))* member(v,second(w)) equal(x,w)* -> subset(u,y) member(f17(u,y),first(x))*. % 299.97/300.37 30195[0:Res:395.0,5020.1] || member(u,second(v)) equal(w,v) -> subset(x,complement(f6(u,v))) member(f17(x,complement(f6(u,v))),first(w))*. % 299.97/300.37 30193[0:Res:961.2,5020.1] || subset(u,f6(v,w))* member(v,second(w)) equal(x,w)* -> disjoint(y,u) member(f23(y,u),first(x))*. % 299.97/300.37 30191[0:Res:954.2,5020.1] || subset(u,f6(v,w))* member(v,second(w)) equal(x,w)* -> disjoint(u,y) member(f23(u,y),first(x))*. % 299.97/300.37 30178[0:Res:4258.0,5020.1] || member(u,second(v)) equal(w,v) -> equal(complement(f6(u,v)),universal_set) member(f1(complement(f6(u,v)),universal_set),first(w))*. % 299.97/300.37 30346[0:Res:46.1,5022.1] || member(u,converse(f9(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> member(ordered_pair(second(u),first(u)),first(x))*. % 299.97/300.37 30326[0:Res:960.2,5022.1] || member(u,infinity) subset(infinity,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> member(successor(u),first(x))*. % 299.97/300.37 30313[0:Res:107.1,5022.1] || member(u,range_of(f9(v,w))) member(v,rotate_right(w)) equal(x,v) -> member(f27(u,f9(v,w)),first(x))*. % 299.97/300.37 30311[0:Res:66.1,5022.1] || member(u,sigma(f9(v,w))) member(v,rotate_right(w)) equal(x,v) -> member(f16(u,f9(v,w)),first(x))*. % 299.97/300.37 30309[0:Res:38.1,5022.1] || member(u,domain_of(f9(v,w))) member(v,rotate_right(w)) equal(x,v) -> member(f8(u,f9(v,w)),first(x))*. % 299.97/300.37 30307[0:Res:955.2,5022.1] || subset(u,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> subset(u,y) member(f17(u,y),first(x))*. % 299.97/300.37 30306[0:Res:395.0,5022.1] || member(u,rotate_right(v)) equal(w,u) -> subset(x,complement(f9(u,v))) member(f17(x,complement(f9(u,v))),first(w))*. % 299.97/300.37 30304[0:Res:961.2,5022.1] || subset(u,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> disjoint(y,u) member(f23(y,u),first(x))*. % 299.97/300.37 30302[0:Res:954.2,5022.1] || subset(u,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> disjoint(u,y) member(f23(u,y),first(x))*. % 299.97/300.37 30289[0:Res:4258.0,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(complement(f9(u,v)),universal_set) member(f1(complement(f9(u,v)),universal_set),first(w))*. % 299.97/300.37 30489[0:Res:46.1,5024.1] || member(u,converse(f12(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> member(ordered_pair(second(u),first(u)),first(x))*. % 299.97/300.37 30469[0:Res:960.2,5024.1] || member(u,infinity) subset(infinity,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> member(successor(u),first(x))*. % 299.97/300.37 30456[0:Res:107.1,5024.1] || member(u,range_of(f12(v,w))) member(v,flip_range_of(w)) equal(x,v) -> member(f27(u,f12(v,w)),first(x))*. % 299.97/300.37 30454[0:Res:66.1,5024.1] || member(u,sigma(f12(v,w))) member(v,flip_range_of(w)) equal(x,v) -> member(f16(u,f12(v,w)),first(x))*. % 299.97/300.37 30452[0:Res:38.1,5024.1] || member(u,domain_of(f12(v,w))) member(v,flip_range_of(w)) equal(x,v) -> member(f8(u,f12(v,w)),first(x))*. % 299.97/300.37 30450[0:Res:955.2,5024.1] || subset(u,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> subset(u,y) member(f17(u,y),first(x))*. % 299.97/300.37 30449[0:Res:395.0,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(x,complement(f12(u,v))) member(f17(x,complement(f12(u,v))),first(w))*. % 299.97/300.37 30447[0:Res:961.2,5024.1] || subset(u,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> disjoint(y,u) member(f23(y,u),first(x))*. % 299.97/300.37 30445[0:Res:954.2,5024.1] || subset(u,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> disjoint(u,y) member(f23(u,y),first(x))*. % 299.97/300.37 30432[0:Res:4258.0,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(complement(f12(u,v)),universal_set) member(f1(complement(f12(u,v)),universal_set),first(w))*. % 299.97/300.37 30642[0:Res:46.1,5064.1] || member(u,converse(f5(v,w)))* member(v,first(w)) equal(x,w)* -> member(ordered_pair(second(u),first(u)),second(x))*. % 299.97/300.37 30622[0:Res:960.2,5064.1] || member(u,infinity) subset(infinity,f5(v,w))* member(v,first(w)) equal(x,w)* -> member(successor(u),second(x))*. % 299.97/300.37 30609[0:Res:107.1,5064.1] || member(u,range_of(f5(v,w))) member(v,first(w)) equal(x,w) -> member(f27(u,f5(v,w)),second(x))*. % 299.97/300.37 30607[0:Res:66.1,5064.1] || member(u,sigma(f5(v,w))) member(v,first(w)) equal(x,w) -> member(f16(u,f5(v,w)),second(x))*. % 299.97/300.37 30605[0:Res:38.1,5064.1] || member(u,domain_of(f5(v,w))) member(v,first(w)) equal(x,w) -> member(f8(u,f5(v,w)),second(x))*. % 299.97/300.37 30603[0:Res:955.2,5064.1] || subset(u,f5(v,w))* member(v,first(w)) equal(x,w)* -> subset(u,y) member(f17(u,y),second(x))*. % 299.97/300.37 30602[0:Res:395.0,5064.1] || member(u,first(v)) equal(w,v) -> subset(x,complement(f5(u,v))) member(f17(x,complement(f5(u,v))),second(w))*. % 299.97/300.37 30600[0:Res:961.2,5064.1] || subset(u,f5(v,w))* member(v,first(w)) equal(x,w)* -> disjoint(y,u) member(f23(y,u),second(x))*. % 299.97/300.37 30598[0:Res:954.2,5064.1] || subset(u,f5(v,w))* member(v,first(w)) equal(x,w)* -> disjoint(u,y) member(f23(u,y),second(x))*. % 299.97/300.37 30585[0:Res:4258.0,5064.1] || member(u,first(v)) equal(w,v) -> equal(complement(f5(u,v)),universal_set) member(f1(complement(f5(u,v)),universal_set),second(w))*. % 299.97/300.37 30799[0:Res:46.1,5065.1] || member(u,converse(f7(v,w)))* member(v,second(w)) equal(x,w)* -> member(ordered_pair(second(u),first(u)),second(x))*. % 299.97/300.37 30779[0:Res:960.2,5065.1] || member(u,infinity) subset(infinity,f7(v,w))* member(v,second(w)) equal(x,w)* -> member(successor(u),second(x))*. % 299.97/300.37 30766[0:Res:107.1,5065.1] || member(u,range_of(f7(v,w))) member(v,second(w)) equal(x,w) -> member(f27(u,f7(v,w)),second(x))*. % 299.97/300.37 30764[0:Res:66.1,5065.1] || member(u,sigma(f7(v,w))) member(v,second(w)) equal(x,w) -> member(f16(u,f7(v,w)),second(x))*. % 299.97/300.37 30762[0:Res:38.1,5065.1] || member(u,domain_of(f7(v,w))) member(v,second(w)) equal(x,w) -> member(f8(u,f7(v,w)),second(x))*. % 299.97/300.37 30760[0:Res:955.2,5065.1] || subset(u,f7(v,w))* member(v,second(w)) equal(x,w)* -> subset(u,y) member(f17(u,y),second(x))*. % 299.97/300.37 30759[0:Res:395.0,5065.1] || member(u,second(v)) equal(w,v) -> subset(x,complement(f7(u,v))) member(f17(x,complement(f7(u,v))),second(w))*. % 299.97/300.37 30757[0:Res:961.2,5065.1] || subset(u,f7(v,w))* member(v,second(w)) equal(x,w)* -> disjoint(y,u) member(f23(y,u),second(x))*. % 299.97/300.37 30755[0:Res:954.2,5065.1] || subset(u,f7(v,w))* member(v,second(w)) equal(x,w)* -> disjoint(u,y) member(f23(u,y),second(x))*. % 299.97/300.37 30742[0:Res:4258.0,5065.1] || member(u,second(v)) equal(w,v) -> equal(complement(f7(u,v)),universal_set) member(f1(complement(f7(u,v)),universal_set),second(w))*. % 299.97/300.37 31396[0:Res:3824.2,68.0] || member(u,v) -> equal(w,intersection(u,x)) member(f1(w,intersection(u,x)),w)* member(f1(w,intersection(u,x)),sigma(v))*. % 299.97/300.37 31395[0:Res:3824.2,98.0] || member(f1(u,intersection(v,w)),x)* disjoint(x,v) -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),u)*. % 299.97/300.37 31338[0:Res:3824.1,68.0] || member(u,v) -> equal(u,intersection(w,x)) member(f1(u,intersection(w,x)),w)* member(f1(u,intersection(w,x)),sigma(v))*. % 299.97/300.37 31337[0:Res:3824.1,98.0] || member(f1(u,intersection(v,w)),x)* disjoint(x,u) -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),v)*. % 299.97/300.37 31606[0:Res:3825.2,68.0] || member(u,v) -> equal(w,intersection(x,u)) member(f1(w,intersection(x,u)),w)* member(f1(w,intersection(x,u)),sigma(v))*. % 299.97/300.37 31605[0:Res:3825.2,98.0] || member(f1(u,intersection(v,w)),x)* disjoint(x,w) -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),u)*. % 299.97/300.37 31548[0:Res:3825.1,68.0] || member(u,v) -> equal(u,intersection(w,x)) member(f1(u,intersection(w,x)),x)* member(f1(u,intersection(w,x)),sigma(v))*. % 299.97/300.37 31547[0:Res:3825.1,98.0] || member(f1(u,intersection(v,w)),x)* disjoint(x,u) -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),w)*. % 299.97/300.37 31789[0:Res:3842.2,68.0] || member(u,v) -> equal(intersection(u,w),x) member(f1(intersection(u,w),x),x)* member(f1(intersection(u,w),x),sigma(v))*. % 299.97/300.37 31788[0:Res:3842.2,98.0] || member(f1(intersection(u,v),w),x)* disjoint(x,u) -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),w)*. % 299.97/300.37 31731[0:Res:3842.1,68.0] || member(u,v) -> equal(intersection(w,x),u) member(f1(intersection(w,x),u),w)* member(f1(intersection(w,x),u),sigma(v))*. % 299.97/300.37 31730[0:Res:3842.1,98.0] || member(f1(intersection(u,v),w),x)* disjoint(x,w) -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),u)*. % 299.97/300.37 31970[0:Res:3843.2,68.0] || member(u,v) -> equal(intersection(w,u),x) member(f1(intersection(w,u),x),x)* member(f1(intersection(w,u),x),sigma(v))*. % 299.97/300.37 31969[0:Res:3843.2,98.0] || member(f1(intersection(u,v),w),x)* disjoint(x,v) -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),w)*. % 299.97/300.37 31912[0:Res:3843.1,68.0] || member(u,v) -> equal(intersection(w,x),u) member(f1(intersection(w,x),u),x)* member(f1(intersection(w,x),u),sigma(v))*. % 299.97/300.37 31911[0:Res:3843.1,98.0] || member(f1(intersection(u,v),w),x)* disjoint(x,w) -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),v)*. % 299.97/300.37 32187[0:Res:1008.2,1354.0] || member(u,range_of(v)) member(f27(u,v),converse(image(w,cross_product(x,y))))* -> member(ordered_pair(u,first(f27(u,v))),y)*. % 299.97/300.37 32182[0:Res:1008.2,274.0] || member(u,range_of(v)) member(f27(u,v),converse(restrict(w,x)))* -> member(ordered_pair(u,first(f27(u,v))),cross_product(x,universal_set))*. % 299.97/300.37 32153[0:Res:1008.2,4578.0] || member(u,range_of(v)) member(f27(u,v),converse(rotate_right(w)))* equal(x,ordered_pair(u,first(f27(u,v))))* -> ordered_pair_predicate(x)*. % 299.97/300.37 32151[0:Res:1008.2,4549.0] || member(u,range_of(v)) member(f27(u,v),converse(flip_range_of(w)))* equal(x,ordered_pair(u,first(f27(u,v))))* -> ordered_pair_predicate(x)*. % 299.97/300.37 32144[0:Res:1008.2,70.0] || member(u,range_of(v)) member(f27(u,v),converse(w))* subset(w,x)* -> member(ordered_pair(u,first(f27(u,v))),x)*. % 299.97/300.37 32358[0:Res:1007.2,1354.0] || member(u,domain_of(v)) member(f8(u,v),converse(image(w,cross_product(x,y))))* -> member(ordered_pair(second(f8(u,v)),u),y)*. % 299.97/300.37 32353[0:Res:1007.2,274.0] || member(u,domain_of(v)) member(f8(u,v),converse(restrict(w,x)))* -> member(ordered_pair(second(f8(u,v)),u),cross_product(x,universal_set))*. % 299.97/300.37 32324[0:Res:1007.2,4578.0] || member(u,domain_of(v)) member(f8(u,v),converse(rotate_right(w)))* equal(x,ordered_pair(second(f8(u,v)),u))* -> ordered_pair_predicate(x)*. % 299.97/300.37 32322[0:Res:1007.2,4549.0] || member(u,domain_of(v)) member(f8(u,v),converse(flip_range_of(w)))* equal(x,ordered_pair(second(f8(u,v)),u))* -> ordered_pair_predicate(x)*. % 299.97/300.37 32315[0:Res:1007.2,70.0] || member(u,domain_of(v)) member(f8(u,v),converse(w))* subset(w,x)* -> member(ordered_pair(second(f8(u,v)),u),x)*. % 299.97/300.37 32430[0:SSi:32419.0,371.0] || equal(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x))* member(u,range_of(v)) -> member(f27(u,v),converse(ordered_pair(w,x)))*. % 299.97/300.37 32512[0:SSi:32501.0,371.0] || equal(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x))* member(u,domain_of(v)) -> member(f8(u,v),converse(ordered_pair(w,x)))*. % 299.97/300.37 32814[0:Res:3836.2,34.1] || member(second(f1(cross_product(u,complement(v)),w)),v)* -> equal(cross_product(u,complement(v)),w) member(f1(cross_product(u,complement(v)),w),w)*. % 299.97/300.37 32800[6:Res:3836.2,10804.1] || equal(second(f1(cross_product(u,rotate_right(v)),w)),universal_set) -> equal(cross_product(u,rotate_right(v)),w) member(f1(cross_product(u,rotate_right(v)),w),w)*. % 299.97/300.37 32798[6:Res:3836.2,10803.1] || equal(second(f1(cross_product(u,flip_range_of(v)),w)),universal_set) -> equal(cross_product(u,flip_range_of(v)),w) member(f1(cross_product(u,flip_range_of(v)),w),w)*. % 299.97/300.37 32792[0:Res:3836.2,70.0] || subset(u,v) -> equal(cross_product(w,u),x) member(f1(cross_product(w,u),x),x)* member(second(f1(cross_product(w,u),x)),v)*. % 299.97/300.37 32756[0:Res:3836.1,34.1] || member(f1(cross_product(u,v),complement(w)),w)* -> equal(cross_product(u,v),complement(w)) member(second(f1(cross_product(u,v),complement(w))),v)*. % 299.97/300.37 32736[0:Res:3836.1,70.0] || subset(u,v) -> equal(cross_product(w,x),u) member(second(f1(cross_product(w,x),u)),x)* member(f1(cross_product(w,x),u),v)*. % 299.97/300.37 32979[0:Res:3835.2,34.1] || member(first(f1(cross_product(complement(u),v),w)),u)* -> equal(cross_product(complement(u),v),w) member(f1(cross_product(complement(u),v),w),w)*. % 299.97/300.37 32965[6:Res:3835.2,10804.1] || equal(first(f1(cross_product(rotate_right(u),v),w)),universal_set) -> equal(cross_product(rotate_right(u),v),w) member(f1(cross_product(rotate_right(u),v),w),w)*. % 299.97/300.37 32963[6:Res:3835.2,10803.1] || equal(first(f1(cross_product(flip_range_of(u),v),w)),universal_set) -> equal(cross_product(flip_range_of(u),v),w) member(f1(cross_product(flip_range_of(u),v),w),w)*. % 299.97/300.37 32957[0:Res:3835.2,70.0] || subset(u,v) -> equal(cross_product(u,w),x) member(f1(cross_product(u,w),x),x)* member(first(f1(cross_product(u,w),x)),v)*. % 299.97/300.37 32921[0:Res:3835.1,34.1] || member(f1(cross_product(u,v),complement(w)),w)* -> equal(cross_product(u,v),complement(w)) member(first(f1(cross_product(u,v),complement(w))),u)*. % 299.97/300.37 32901[0:Res:3835.1,70.0] || subset(u,v) -> equal(cross_product(w,x),u) member(first(f1(cross_product(w,x),u)),w)* member(f1(cross_product(w,x),u),v)*. % 299.97/300.37 33150[0:Res:3818.2,34.1] || member(second(f1(u,cross_product(v,complement(w)))),w)* -> equal(u,cross_product(v,complement(w))) member(f1(u,cross_product(v,complement(w))),u)*. % 299.97/300.37 33136[6:Res:3818.2,10804.1] || equal(second(f1(u,cross_product(v,rotate_right(w)))),universal_set) -> equal(u,cross_product(v,rotate_right(w))) member(f1(u,cross_product(v,rotate_right(w))),u)*. % 299.97/300.37 33134[6:Res:3818.2,10803.1] || equal(second(f1(u,cross_product(v,flip_range_of(w)))),universal_set) -> equal(u,cross_product(v,flip_range_of(w))) member(f1(u,cross_product(v,flip_range_of(w))),u)*. % 299.97/300.37 33128[0:Res:3818.2,70.0] || subset(u,v) -> equal(w,cross_product(x,u)) member(f1(w,cross_product(x,u)),w)* member(second(f1(w,cross_product(x,u))),v)*. % 299.97/300.37 33092[0:Res:3818.1,34.1] || member(f1(complement(u),cross_product(v,w)),u)* -> equal(complement(u),cross_product(v,w)) member(second(f1(complement(u),cross_product(v,w))),w)*. % 299.97/300.37 33072[0:Res:3818.1,70.0] || subset(u,v) -> equal(u,cross_product(w,x)) member(second(f1(u,cross_product(w,x))),x)* member(f1(u,cross_product(w,x)),v)*. % 299.97/300.37 33316[0:Res:3817.2,34.1] || member(first(f1(u,cross_product(complement(v),w))),v)* -> equal(u,cross_product(complement(v),w)) member(f1(u,cross_product(complement(v),w)),u)*. % 299.97/300.37 33302[6:Res:3817.2,10804.1] || equal(first(f1(u,cross_product(rotate_right(v),w))),universal_set) -> equal(u,cross_product(rotate_right(v),w)) member(f1(u,cross_product(rotate_right(v),w)),u)*. % 299.97/300.37 33300[6:Res:3817.2,10803.1] || equal(first(f1(u,cross_product(flip_range_of(v),w))),universal_set) -> equal(u,cross_product(flip_range_of(v),w)) member(f1(u,cross_product(flip_range_of(v),w)),u)*. % 299.97/300.37 33294[0:Res:3817.2,70.0] || subset(u,v) -> equal(w,cross_product(u,x)) member(f1(w,cross_product(u,x)),w)* member(first(f1(w,cross_product(u,x))),v)*. % 299.97/300.37 33258[0:Res:3817.1,34.1] || member(f1(complement(u),cross_product(v,w)),u)* -> equal(complement(u),cross_product(v,w)) member(first(f1(complement(u),cross_product(v,w))),v)*. % 299.97/300.37 33238[0:Res:3817.1,70.0] || subset(u,v) -> equal(u,cross_product(w,x)) member(first(f1(u,cross_product(w,x))),w)* member(f1(u,cross_product(w,x)),v)*. % 299.97/300.37 33820[0:SSi:33797.0,371.0] || equal(ordered_pair(f31(u,v,complement(singleton_set(w))),f30(u,v,complement(singleton_set(w)))),w)** member(u,compose(v,complement(singleton_set(w)))) -> . % 299.97/300.37 33821[0:SSi:33796.0,371.0] || subset(ordered_pair(f31(u,v,complement(powerset(w))),f30(u,v,complement(powerset(w)))),w)* member(u,compose(v,complement(powerset(w)))) -> . % 299.97/300.37 33908[0:SSi:33885.0,371.0] || equal(ordered_pair(f29(u,complement(singleton_set(v)),w),f31(u,complement(singleton_set(v)),w)),v)** member(u,compose(complement(singleton_set(v)),w)) -> . % 299.97/300.37 33909[0:SSi:33884.0,371.0] || subset(ordered_pair(f29(u,complement(powerset(v)),w),f31(u,complement(powerset(v)),w)),v)* member(u,compose(complement(powerset(v)),w)) -> . % 299.97/300.37 33947[3:SpR:587.0,6202.3] || member(u,v) equal(first(u),singleton_set(singleton_set(w))) -> disjoint(x,second(u)) member(f23(x,second(u)),apply_to_two_arguments(v,w,w))*. % 299.97/300.37 33946[3:SpR:122.0,6202.3] || member(u,v) equal(first(u),ordered_pair(w,x)) -> disjoint(y,second(u)) member(f23(y,second(u)),apply_to_two_arguments(v,w,x))*. % 299.97/300.37 34093[3:SpR:587.0,6205.3] || member(u,v) equal(first(u),singleton_set(singleton_set(w))) -> disjoint(second(u),x) member(f23(second(u),x),apply_to_two_arguments(v,w,w))*. % 299.97/300.37 34092[3:SpR:122.0,6205.3] || member(u,v) equal(first(u),ordered_pair(w,x)) -> disjoint(second(u),y) member(f23(second(u),y),apply_to_two_arguments(v,w,x))*. % 299.97/300.37 34171[3:SpR:587.0,6206.3] || member(u,v) equal(first(u),singleton_set(singleton_set(w))) -> subset(second(u),x) member(f17(second(u),x),apply_to_two_arguments(v,w,w))*. % 299.97/300.37 34170[3:SpR:122.0,6206.3] || member(u,v) equal(first(u),ordered_pair(w,x)) -> subset(second(u),y) member(f17(second(u),y),apply_to_two_arguments(v,w,x))*. % 299.97/300.37 34259[7:Res:26830.1,1437.0] || disjoint(universal_set,complement(range_of(non_ordered_pair(u,v))))* -> equal(f27(sigma(infinity),non_ordered_pair(u,v)),v) equal(f27(sigma(infinity),non_ordered_pair(u,v)),u). % 299.97/300.37 34258[7:Res:26831.1,1437.0] || disjoint(complement(range_of(non_ordered_pair(u,v))),universal_set)* -> equal(f27(sigma(infinity),non_ordered_pair(u,v)),v) equal(f27(sigma(infinity),non_ordered_pair(u,v)),u). % 299.97/300.37 34257[7:Res:33376.1,1437.0] || member(universal_set,powerset(range_of(non_ordered_pair(u,v))))* -> equal(f27(sigma(infinity),non_ordered_pair(u,v)),v) equal(f27(sigma(infinity),non_ordered_pair(u,v)),u). % 299.97/300.37 34426[7:Res:26830.1,1438.0] || disjoint(universal_set,complement(sigma(non_ordered_pair(u,v))))* -> equal(f16(sigma(infinity),non_ordered_pair(u,v)),v) equal(f16(sigma(infinity),non_ordered_pair(u,v)),u). % 299.97/300.37 34425[7:Res:26831.1,1438.0] || disjoint(complement(sigma(non_ordered_pair(u,v))),universal_set)* -> equal(f16(sigma(infinity),non_ordered_pair(u,v)),v) equal(f16(sigma(infinity),non_ordered_pair(u,v)),u). % 299.97/300.37 34424[7:Res:33376.1,1438.0] || member(universal_set,powerset(sigma(non_ordered_pair(u,v))))* -> equal(f16(sigma(infinity),non_ordered_pair(u,v)),v) equal(f16(sigma(infinity),non_ordered_pair(u,v)),u). % 299.97/300.37 34596[7:Res:26830.1,1439.0] || disjoint(universal_set,complement(domain_of(non_ordered_pair(u,v))))* -> equal(f8(sigma(infinity),non_ordered_pair(u,v)),v) equal(f8(sigma(infinity),non_ordered_pair(u,v)),u). % 299.97/300.37 34595[7:Res:26831.1,1439.0] || disjoint(complement(domain_of(non_ordered_pair(u,v))),universal_set)* -> equal(f8(sigma(infinity),non_ordered_pair(u,v)),v) equal(f8(sigma(infinity),non_ordered_pair(u,v)),u). % 299.97/300.37 34594[7:Res:33376.1,1439.0] || member(universal_set,powerset(domain_of(non_ordered_pair(u,v))))* -> equal(f8(sigma(infinity),non_ordered_pair(u,v)),v) equal(f8(sigma(infinity),non_ordered_pair(u,v)),u). % 299.97/300.37 34779[0:MRR:34751.0,213.1] || equal(f17(u,intersection(v,singleton_set(w))),w) member(f17(u,intersection(v,singleton_set(w))),v)* -> subset(u,intersection(v,singleton_set(w))). % 299.97/300.37 34780[0:MRR:34750.0,213.1] || subset(f17(u,intersection(v,powerset(w))),w)* member(f17(u,intersection(v,powerset(w))),v)* -> subset(u,intersection(v,powerset(w))). % 299.97/300.37 34786[0:Rew:1431.1,34785.1] || member(u,v) member(u,w) -> equal(f17(non_ordered_pair(x,u),intersection(w,v)),x)** subset(non_ordered_pair(x,u),intersection(w,v)). % 299.97/300.37 34788[0:Rew:1431.2,34787.1] || member(u,v) member(u,w) -> equal(f17(non_ordered_pair(u,x),intersection(w,v)),x)** subset(non_ordered_pair(u,x),intersection(w,v)). % 299.97/300.37 34855[0:MRR:34835.0,5.0] || equal(f1(singleton_set(u),non_ordered_pair(v,w)),u)** equal(f1(singleton_set(u),non_ordered_pair(v,w)),w)** -> equal(singleton_set(u),non_ordered_pair(v,w)). % 299.97/300.37 34856[0:MRR:34834.0,5.0] || subset(f1(powerset(u),non_ordered_pair(v,w)),u)* equal(f1(powerset(u),non_ordered_pair(v,w)),w) -> equal(powerset(u),non_ordered_pair(v,w)). % 299.97/300.37 34923[0:MRR:34903.0,5.0] || equal(f1(singleton_set(u),non_ordered_pair(v,w)),u)** equal(f1(singleton_set(u),non_ordered_pair(v,w)),v)** -> equal(singleton_set(u),non_ordered_pair(v,w)). % 299.97/300.37 34924[0:MRR:34902.0,5.0] || subset(f1(powerset(u),non_ordered_pair(v,w)),u)* equal(f1(powerset(u),non_ordered_pair(v,w)),v) -> equal(powerset(u),non_ordered_pair(v,w)). % 299.97/300.37 35348[0:Res:4273.2,547.0] || member(u,compose(v,w)) subset(w,range_of(cross_product(x,y)))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),y)*. % 299.97/300.37 35345[0:Res:4273.2,560.0] || member(u,compose(v,w)) subset(w,domain_of(cross_product(x,y)))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.37 35324[0:Res:4273.2,43.0] || member(u,compose(v,w)) subset(w,cross_product(x,y))* -> member(second(ordered_pair(f31(u,v,w),f30(u,v,w))),y)*. % 299.97/300.37 35323[0:Res:4273.2,42.0] || member(u,compose(v,w)) subset(w,cross_product(x,y))* -> member(first(ordered_pair(f31(u,v,w),f30(u,v,w))),x)*. % 299.97/300.37 35468[0:Res:4348.2,547.0] || member(u,compose(v,w)) subset(v,range_of(cross_product(x,y)))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),y)*. % 299.97/300.37 35465[0:Res:4348.2,560.0] || member(u,compose(v,w)) subset(v,domain_of(cross_product(x,y)))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.37 35444[0:Res:4348.2,43.0] || member(u,compose(v,w)) subset(v,cross_product(x,y))* -> member(second(ordered_pair(f29(u,v,w),f31(u,v,w))),y)*. % 299.97/300.37 35443[0:Res:4348.2,42.0] || member(u,compose(v,w)) subset(v,cross_product(x,y))* -> member(first(ordered_pair(f29(u,v,w),f31(u,v,w))),x)*. % 299.97/300.37 35612[3:MRR:35544.0,6160.1] || member(ordered_pair(second(u),first(u)),sigma(v)) member(u,w) disjoint(w,converse(f16(ordered_pair(second(u),first(u)),v)))* -> . % 299.97/300.37 35771[3:MRR:35703.0,6160.1] || member(ordered_pair(second(u),first(u)),first(v)) member(u,w) disjoint(w,converse(f4(ordered_pair(second(u),first(u)),v)))* -> . % 299.97/300.37 35990[3:MRR:35922.0,6160.1] || member(ordered_pair(second(u),first(u)),second(v)) member(u,w) disjoint(w,converse(f7(ordered_pair(second(u),first(u)),v)))* -> . % 299.97/300.37 36363[0:MRR:36324.0,487.1] little_set(u) || equal(f8(v,w),x)* member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(non_ordered_pair(y,x)))*. % 299.97/300.37 36364[0:MRR:36323.0,487.1] little_set(u) || equal(f8(v,w),x)* member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(non_ordered_pair(x,y)))*. % 299.97/300.37 36524[0:MRR:36485.0,420.1] little_set(u) || equal(f27(v,w),x)* member(v,range_of(w))* equal(u,v)* -> member(u,range_of(non_ordered_pair(y,x)))*. % 299.97/300.37 36525[0:MRR:36484.0,420.1] little_set(u) || equal(f27(v,w),x)* member(v,range_of(w))* equal(u,v)* -> member(u,range_of(non_ordered_pair(x,y)))*. % 299.97/300.37 36589[0:Res:4622.2,282.0] || member(u,flip_range_of(v)) subset(v,restrict(w,x))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.37 36587[0:Res:4622.2,15955.0] || member(u,flip_range_of(v)) subset(v,sigma(powerset(w))) -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.37 36583[0:Res:4622.2,32.0] || member(u,flip_range_of(v)) subset(v,intersection(w,x))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)*. % 299.97/300.37 36582[0:Res:4622.2,31.0] || member(u,flip_range_of(v)) subset(v,intersection(w,x))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.37 36571[0:Res:4622.2,10964.0] || member(u,flip_range_of(v)) subset(v,complement(complement(w))) -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.37 36570[0:Res:4622.2,34.1] || member(u,flip_range_of(v)) subset(v,complement(w)) member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)* -> . % 299.97/300.37 36567[6:Res:4622.2,10857.1] || member(u,flip_range_of(v)) subset(v,infinity) equal(successor(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),universal_set)** -> . % 299.97/300.37 37017[0:Res:4770.2,282.0] || member(u,rotate_right(v)) subset(v,restrict(w,x))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.37 37015[0:Res:4770.2,15955.0] || member(u,rotate_right(v)) subset(v,sigma(powerset(w))) -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.37 37011[0:Res:4770.2,32.0] || member(u,rotate_right(v)) subset(v,intersection(w,x))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)*. % 299.97/300.37 37010[0:Res:4770.2,31.0] || member(u,rotate_right(v)) subset(v,intersection(w,x))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.37 36999[0:Res:4770.2,10964.0] || member(u,rotate_right(v)) subset(v,complement(complement(w))) -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.37 36998[0:Res:4770.2,34.1] || member(u,rotate_right(v)) subset(v,complement(w)) member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)* -> . % 299.97/300.37 36995[6:Res:4770.2,10857.1] || member(u,rotate_right(v)) subset(v,infinity) equal(successor(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),universal_set)** -> . % 299.97/300.37 38166[0:SSi:38131.0,371.0] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),x)* member(u,compose(v,w)) disjoint(non_ordered_pair(y,x),w)* -> . % 299.97/300.37 38167[0:SSi:38130.0,371.0] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),x)* member(u,compose(v,w)) disjoint(non_ordered_pair(x,y),w)* -> . % 299.97/300.37 38285[0:SSi:38250.0,371.0] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),x)* member(u,compose(v,w)) disjoint(non_ordered_pair(y,x),v)* -> . % 299.97/300.37 38286[0:SSi:38249.0,371.0] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),x)* member(u,compose(v,w)) disjoint(non_ordered_pair(x,y),v)* -> . % 299.97/300.37 38399[0:MRR:38360.0,1275.1] || equal(f28(u,v,w),x)* member(u,apply(v,w))* equal(w,y)* -> member(u,apply(non_ordered_pair(z,x),y))*. % 299.97/300.37 38400[0:MRR:38359.0,1275.1] || equal(f28(u,v,w),x)* member(u,apply(v,w))* equal(w,y)* -> member(u,apply(non_ordered_pair(x,z),y))*. % 299.97/300.37 39064[3:Res:3651.2,20705.0] || member(complement(sigma(restrict(u,v))),cross_product(v,universal_set))* member(complement(sigma(restrict(u,v))),u)* -> member(infinity,sigma(restrict(u,v))). % 299.97/300.37 39234[0:SSi:39207.0,371.0,371.0] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)* member(u,flip_range_of(v)) disjoint(singleton_set(w),v)* -> . % 299.97/300.37 39235[0:SSi:39206.0,371.0,371.0] || subset(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)* member(u,flip_range_of(v)) disjoint(powerset(w),v) -> . % 299.97/300.37 39754[0:SSi:39727.0,371.0,371.0] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)* member(u,rotate_right(v)) disjoint(singleton_set(w),v)* -> . % 299.97/300.37 39755[0:SSi:39726.0,371.0,371.0] || subset(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)* member(u,rotate_right(v)) disjoint(powerset(w),v) -> . % 299.97/300.37 40193[7:Res:26333.1,5068.1] || subset(universal_set,ordered_pair(f10(u,v),f11(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(sigma(infinity),second(w))*. % 299.97/300.37 40373[7:Res:26333.1,5070.1] || subset(universal_set,ordered_pair(f13(u,v),f14(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(sigma(infinity),second(w))*. % 299.97/300.37 40679[2:Res:25246.0,5065.1] || member(u,second(v)) equal(w,v) -> equal(complement(f7(u,v)),universal_set) member(f1(universal_set,complement(f7(u,v))),second(w))*. % 299.97/300.37 40678[2:Res:25246.0,5064.1] || member(u,first(v)) equal(w,v) -> equal(complement(f5(u,v)),universal_set) member(f1(universal_set,complement(f5(u,v))),second(w))*. % 299.97/300.37 40677[2:Res:25246.0,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(complement(f12(u,v)),universal_set) member(f1(universal_set,complement(f12(u,v))),first(w))*. % 299.97/300.37 40676[2:Res:25246.0,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(complement(f9(u,v)),universal_set) member(f1(universal_set,complement(f9(u,v))),first(w))*. % 299.97/300.37 40675[2:Res:25246.0,5020.1] || member(u,second(v)) equal(w,v) -> equal(complement(f6(u,v)),universal_set) member(f1(universal_set,complement(f6(u,v))),first(w))*. % 299.97/300.37 40674[2:Res:25246.0,5019.1] || member(u,first(v)) equal(w,v) -> equal(complement(f4(u,v)),universal_set) member(f1(universal_set,complement(f4(u,v))),first(w))*. % 299.97/300.37 40639[2:Res:25246.0,1009.0] || subset(u,v) -> equal(complement(converse(u)),universal_set) member(ordered_pair(second(f1(universal_set,complement(converse(u)))),first(f1(universal_set,complement(converse(u))))),v)*. % 299.97/300.37 40759[2:Res:1468.2,25810.0] || member(u,image(v,w)) member(f22(u,v,w),converse(image(x,cross_product(ordered_pair(u,first(f22(u,v,w))),y))))* -> . % 299.97/300.37 40757[2:Res:1468.2,25950.0] || member(u,image(v,w)) member(f22(u,v,w),converse(image(restrict(ordered_pair(u,first(f22(u,v,w))),x),y)))* -> . % 299.97/300.37 40756[2:Res:1468.2,26103.0] || member(u,image(v,w)) member(f22(u,v,w),converse(image(intersection(x,ordered_pair(u,first(f22(u,v,w)))),y)))* -> . % 299.97/300.37 40755[2:Res:1468.2,25946.0] || member(u,image(v,w)) member(f22(u,v,w),converse(image(intersection(ordered_pair(u,first(f22(u,v,w))),x),y)))* -> . % 299.97/300.37 40734[0:Res:1468.2,1444.0] || member(u,image(v,w)) member(f22(u,v,w),converse(singleton_set(x)))* -> equal(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.37 40905[2:Res:1464.2,25810.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(image(x,cross_product(ordered_pair(second(f28(u,v,w)),w),y))))* -> . % 299.97/300.37 40903[2:Res:1464.2,25950.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(image(restrict(ordered_pair(second(f28(u,v,w)),w),x),y)))* -> . % 299.97/300.37 40902[2:Res:1464.2,26103.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(image(intersection(x,ordered_pair(second(f28(u,v,w)),w)),y)))* -> . % 299.97/300.37 40901[2:Res:1464.2,25946.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(image(intersection(ordered_pair(second(f28(u,v,w)),w),x),y)))* -> . % 299.97/300.37 40880[0:Res:1464.2,1444.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(singleton_set(x)))* -> equal(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.37 40999[0:SSi:40978.0,371.0] || equal(ordered_pair(u,first(f22(u,v,w))),x)* member(u,image(v,w)) -> member(f22(u,v,w),converse(singleton_set(x)))*. % 299.97/300.37 41096[0:SSi:41075.0,371.0] || equal(ordered_pair(second(f28(u,v,w)),w),x)* member(u,apply(v,w)) -> member(f28(u,v,w),converse(singleton_set(x)))*. % 299.97/300.37 42208[0:MRR:42184.0,1275.1] little_set(u) || member(v,apply(w,x)) equal(u,x)* -> member(f28(v,w,x),y)* member(u,domain_of(complement(y)))*. % 299.97/300.37 42284[0:MRR:42260.0,1340.1] little_set(u) || member(v,image(w,x)) equal(u,v)* -> member(f22(v,w,x),y)* member(u,range_of(complement(y)))*. % 299.97/300.37 42337[2:Res:4279.1,10966.0] || member(u,compose(v,cross_product(w,x))) -> member(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),universal_set)*. % 299.97/300.37 42448[2:Res:4278.1,10966.0] || member(u,compose(v,cross_product(w,x))) -> member(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),universal_set)*. % 299.97/300.37 42595[2:Res:4354.1,10966.0] || member(u,compose(cross_product(v,w),x)) -> member(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),universal_set)*. % 299.97/300.37 42737[2:Res:4353.1,10966.0] || member(u,compose(cross_product(v,w),x)) -> member(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),universal_set)*. % 299.97/300.37 43539[2:Res:5356.4,10966.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* -> member(ordered_pair(w,ordered_pair(v,u)),universal_set)*. % 299.97/300.37 43559[0:SSi:43534.2,3910.0,371.2] little_set(u) little_set(v) || member(ordered_pair(v,ordered_pair(u,ordered_pair(v,u))),w)* -> member(singleton_set(singleton_set(ordered_pair(v,u))),rotate_right(w)). % 299.97/300.37 43565[0:MRR:43555.0,43555.1,43555.2,48.1,50.1,49.1] || member(ordered_pair(f11(u,v),ordered_pair(f9(u,v),f10(u,v))),w)* member(u,rotate_right(v)) disjoint(rotate_right(w),v) -> . % 299.97/300.37 43566[0:MRR:43554.0,43554.1,43554.2,55.1,56.1,54.1] || member(ordered_pair(f14(u,v),ordered_pair(f13(u,v),f12(u,v))),w)* member(u,flip_range_of(v)) disjoint(rotate_right(w),v) -> . % 299.97/300.37 43586[14:Res:42571.1,3811.0] || subset(universal_set,u) -> equal(v,ordered_pair(universal_set,w)) member(f1(v,ordered_pair(universal_set,w)),v)* member(f1(v,ordered_pair(universal_set,w)),sigma(u))*. % 299.97/300.37 43585[14:Res:42571.1,3829.0] || subset(universal_set,u) -> equal(ordered_pair(universal_set,v),w) member(f1(ordered_pair(universal_set,v),w),w)* member(f1(ordered_pair(universal_set,v),w),sigma(u))*. % 299.97/300.37 43704[2:Res:6051.4,10966.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x)* -> member(ordered_pair(w,ordered_pair(v,u)),universal_set)*. % 299.97/300.37 43725[0:SSi:43699.2,3910.0,371.2] little_set(u) little_set(v) || member(ordered_pair(ordered_pair(v,u),ordered_pair(u,v)),w)* -> member(singleton_set(singleton_set(ordered_pair(v,u))),flip_range_of(w)). % 299.97/300.37 43731[0:MRR:43720.0,43720.1,43720.2,48.1,50.1,49.1] || member(ordered_pair(f10(u,v),ordered_pair(f9(u,v),f11(u,v))),w)* member(u,rotate_right(v)) disjoint(flip_range_of(w),v) -> . % 299.97/300.37 44002[0:Obv:43961.1] || subset(non_ordered_pair(u,v),w)* -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)** single_valued_set(non_ordered_pair(u,v)) member(u,w). % 299.97/300.37 44003[0:Obv:43937.1] || subset(non_ordered_pair(u,v),w)* -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u)** single_valued_set(non_ordered_pair(u,v)) member(v,w). % 299.97/300.37 44146[0:Obv:44106.1] || subset(non_ordered_pair(u,v),w)* -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)** single_valued_set(non_ordered_pair(u,v)) member(u,w). % 299.97/300.37 44147[0:Obv:44082.1] || subset(non_ordered_pair(u,v),w)* -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u)** single_valued_set(non_ordered_pair(u,v)) member(v,w). % 299.97/300.37 44510[14:Res:43614.1,3812.0] || subset(universal_set,powerset(u)) -> equal(v,ordered_pair(universal_set,w)) member(f1(v,ordered_pair(universal_set,w)),v)* member(f1(v,ordered_pair(universal_set,w)),u)*. % 299.97/300.37 44509[14:Res:43614.1,3830.0] || subset(universal_set,powerset(u)) -> equal(ordered_pair(universal_set,v),w) member(f1(ordered_pair(universal_set,v),w),w)* member(f1(ordered_pair(universal_set,v),w),u)*. % 299.97/300.37 55744[16:Rew:54986.0,49788.3] || member(u,v)* equal(first(u),w)* subset(apply(v,w),x)* -> equal(second(u),a) member(f24(second(u)),x)*. % 299.97/300.37 55745[16:Rew:54986.0,49783.3] ordered_pair_predicate(second(u)) || member(u,v) equal(first(u),w) -> equal(second(u),a) member(f26(second(u)),apply(v,w))*. % 299.97/300.37 55945[16:Rew:54986.0,48924.4] little_set(u) || member(second(f26(u)),v)* member(first(f26(u)),w)* disjoint(cross_product(w,v),u)* -> equal(u,a). % 299.97/300.37 55946[16:Rew:54986.0,48904.4] little_set(u) || member(f26(u),cross_product(v,universal_set))* member(f26(u),w) disjoint(restrict(w,v),u)* -> equal(u,a). % 299.97/300.37 55947[16:Rew:54986.0,48872.3] little_set(u) || subset(f25,second(f8(ordered_pair(u,f26(u)),v)))* member(ordered_pair(u,f26(u)),domain_of(v)) -> equal(u,a). % 299.97/300.37 55948[16:Rew:54986.0,48871.2] little_set(u) || subset(f25,non_ordered_pair(v,w))* -> equal(u,a) equal(ordered_pair(u,f26(u)),w)* equal(ordered_pair(u,f26(u)),v)*. % 299.97/300.37 55949[16:Rew:54986.0,48862.3] little_set(u) || subset(u,converse(v))* subset(v,w)* -> equal(u,a) member(ordered_pair(second(f26(u)),first(f26(u))),w)*. % 299.97/300.37 55950[16:Rew:54986.0,48804.1] || subset(u,v) -> equal(u,a) equal(w,f24(u)) member(f1(w,f24(u)),w)* member(f1(w,f24(u)),sigma(v))*. % 299.97/300.37 55951[16:Rew:54986.0,48789.1] || subset(u,v) -> equal(u,a) equal(f24(u),w) member(f1(f24(u),w),w)* member(f1(f24(u),w),sigma(v))*. % 299.97/300.37 59647[16:Rew:54986.0,56499.1] || member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),sigma(u)) -> member(a,sigma(converse(f16(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u))))*. % 299.97/300.37 59648[16:Rew:54986.0,56500.1] || member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),first(u)) -> member(a,sigma(converse(f4(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u))))*. % 299.97/300.37 59649[16:Rew:54986.0,56501.1] || member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),second(u)) -> member(a,sigma(converse(f7(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u))))*. % 299.97/300.37 56613[16:Rew:54986.0,49608.3] || subset(universal_set,ordered_pair(f10(u,v),f11(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(singleton_set(a),second(w))*. % 299.97/300.37 56614[16:Rew:54986.0,49604.3] || subset(universal_set,ordered_pair(f13(u,v),f14(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(singleton_set(a),second(w))*. % 299.97/300.37 59650[16:Rew:54986.0,56631.2] || disjoint(universal_set,complement(range_of(non_ordered_pair(u,v))))* -> equal(f27(singleton_set(a),non_ordered_pair(u,v)),v) equal(f27(singleton_set(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59651[16:Rew:54986.0,56632.2] || disjoint(complement(range_of(non_ordered_pair(u,v))),universal_set)* -> equal(f27(singleton_set(a),non_ordered_pair(u,v)),v) equal(f27(singleton_set(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59652[16:Rew:54986.0,56633.2] || member(universal_set,powerset(range_of(non_ordered_pair(u,v))))* -> equal(f27(singleton_set(a),non_ordered_pair(u,v)),v) equal(f27(singleton_set(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59653[16:Rew:54986.0,56635.2] || disjoint(universal_set,complement(sigma(non_ordered_pair(u,v))))* -> equal(f16(singleton_set(a),non_ordered_pair(u,v)),v) equal(f16(singleton_set(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59654[16:Rew:54986.0,56636.2] || disjoint(complement(sigma(non_ordered_pair(u,v))),universal_set)* -> equal(f16(singleton_set(a),non_ordered_pair(u,v)),v) equal(f16(singleton_set(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59655[16:Rew:54986.0,56637.2] || member(universal_set,powerset(sigma(non_ordered_pair(u,v))))* -> equal(f16(singleton_set(a),non_ordered_pair(u,v)),v) equal(f16(singleton_set(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59656[16:Rew:54986.0,56639.2] || disjoint(universal_set,complement(domain_of(non_ordered_pair(u,v))))* -> equal(f8(singleton_set(a),non_ordered_pair(u,v)),v) equal(f8(singleton_set(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59657[16:Rew:54986.0,56640.2] || disjoint(complement(domain_of(non_ordered_pair(u,v))),universal_set)* -> equal(f8(singleton_set(a),non_ordered_pair(u,v)),v) equal(f8(singleton_set(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59658[16:Rew:54986.0,56641.2] || member(universal_set,powerset(domain_of(non_ordered_pair(u,v))))* -> equal(f8(singleton_set(a),non_ordered_pair(u,v)),v) equal(f8(singleton_set(a),non_ordered_pair(u,v)),u). % 299.97/300.37 56956[16:Rew:54986.0,50529.3] || subset(universal_set,ordered_pair(f10(u,v),f11(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(powerset(a),second(w))*. % 299.97/300.37 56957[16:Rew:54986.0,50525.3] || subset(universal_set,ordered_pair(f13(u,v),f14(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(powerset(a),second(w))*. % 299.97/300.37 59659[16:Rew:54986.0,56978.2] || disjoint(universal_set,complement(range_of(non_ordered_pair(u,v))))* -> equal(f27(powerset(a),non_ordered_pair(u,v)),v) equal(f27(powerset(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59660[16:Rew:54986.0,56979.2] || disjoint(complement(range_of(non_ordered_pair(u,v))),universal_set)* -> equal(f27(powerset(a),non_ordered_pair(u,v)),v) equal(f27(powerset(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59661[16:Rew:54986.0,56980.2] || member(universal_set,powerset(range_of(non_ordered_pair(u,v))))* -> equal(f27(powerset(a),non_ordered_pair(u,v)),v) equal(f27(powerset(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59662[16:Rew:54986.0,56982.2] || disjoint(universal_set,complement(sigma(non_ordered_pair(u,v))))* -> equal(f16(powerset(a),non_ordered_pair(u,v)),v) equal(f16(powerset(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59663[16:Rew:54986.0,56983.2] || disjoint(complement(sigma(non_ordered_pair(u,v))),universal_set)* -> equal(f16(powerset(a),non_ordered_pair(u,v)),v) equal(f16(powerset(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59664[16:Rew:54986.0,56984.2] || member(universal_set,powerset(sigma(non_ordered_pair(u,v))))* -> equal(f16(powerset(a),non_ordered_pair(u,v)),v) equal(f16(powerset(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59665[16:Rew:54986.0,56986.2] || disjoint(universal_set,complement(domain_of(non_ordered_pair(u,v))))* -> equal(f8(powerset(a),non_ordered_pair(u,v)),v) equal(f8(powerset(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59666[16:Rew:54986.0,56987.2] || disjoint(complement(domain_of(non_ordered_pair(u,v))),universal_set)* -> equal(f8(powerset(a),non_ordered_pair(u,v)),v) equal(f8(powerset(a),non_ordered_pair(u,v)),u). % 299.97/300.37 59667[16:Rew:54986.0,56988.2] || member(universal_set,powerset(domain_of(non_ordered_pair(u,v))))* -> equal(f8(powerset(a),non_ordered_pair(u,v)),v) equal(f8(powerset(a),non_ordered_pair(u,v)),u). % 299.97/300.37 57277[16:Rew:54986.0,50742.3] || subset(f25,f29(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(ordered_pair(powerset(a),a),first(x))*. % 299.97/300.37 57278[16:Rew:54986.0,50741.3] || subset(universal_set,f29(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(ordered_pair(powerset(a),a),first(x))*. % 299.97/300.37 57279[16:Rew:54986.0,50744.3] || subset(f25,f30(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(ordered_pair(powerset(a),a),second(x))*. % 299.97/300.37 57280[16:Rew:54986.0,50743.3] || subset(universal_set,f30(u,v,w))* member(u,compose(v,w)) equal(x,u)* -> member(ordered_pair(powerset(a),a),second(x))*. % 299.97/300.37 57381[16:Rew:54986.0,50084.2] little_set(converse(u)) || member(u,v) -> equal(converse(u),a) member(ordered_pair(second(f26(converse(u))),first(f26(converse(u)))),sigma(v))*. % 299.97/300.37 58141[16:Rew:54986.0,50784.5] little_set(u) little_set(v) little_set(w) || member(f26(w),v) disjoint(first(ordered_pair(v,u)),w)* -> equal(w,a). % 299.97/300.37 58142[16:Rew:54986.0,50781.5] little_set(u) little_set(v) little_set(w) || member(f26(w),u) disjoint(second(ordered_pair(v,u)),w)* -> equal(w,a). % 299.97/300.37 58382[16:Rew:54986.0,51203.0] || equal(f28(u,v,w),a) member(u,apply(v,w))* equal(w,x)* -> member(u,apply(ordered_pair(universal_set,y),x))*. % 299.97/300.37 59672[16:Rew:54986.0,58502.1] || -> equal(converse(cross_product(u,v)),a) member(first(ordered_pair(second(f1(a,converse(cross_product(u,v)))),first(f1(a,converse(cross_product(u,v)))))),u)*. % 299.97/300.37 59673[16:Rew:54986.0,58503.1] || -> equal(converse(cross_product(u,v)),a) member(first(ordered_pair(second(f1(converse(cross_product(u,v)),a)),first(f1(converse(cross_product(u,v)),a)))),u)*. % 299.97/300.37 59674[16:Rew:54986.0,58504.1] || -> equal(converse(cross_product(u,v)),a) member(second(ordered_pair(second(f1(a,converse(cross_product(u,v)))),first(f1(a,converse(cross_product(u,v)))))),v)*. % 299.97/300.37 59675[16:Rew:54986.0,58505.1] || -> equal(converse(cross_product(u,v)),a) member(second(ordered_pair(second(f1(converse(cross_product(u,v)),a)),first(f1(converse(cross_product(u,v)),a)))),v)*. % 299.97/300.37 58553[16:Rew:54986.0,49806.2] || member(second(f24(complement(cross_product(u,v)))),v)* member(first(f24(complement(cross_product(u,v)))),u)* -> equal(complement(cross_product(u,v)),a). % 299.97/300.37 58554[16:Rew:54986.0,50118.2] || member(u,v) equal(first(u),w) -> equal(intersection(second(u),x),a) member(f24(intersection(second(u),x)),apply(v,w))*. % 299.97/300.37 58555[16:Rew:54986.0,50134.2] || member(u,v) equal(first(u),w) -> equal(intersection(x,second(u)),a) member(f24(intersection(x,second(u))),apply(v,w))*. % 299.97/300.37 58556[16:Rew:54986.0,51104.2] || member(f24(complement(restrict(u,v))),cross_product(v,universal_set))* member(f24(complement(restrict(u,v))),u)* -> equal(complement(restrict(u,v)),a). % 299.97/300.37 58561[16:Rew:54986.0,51254.2] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),a) member(f24(f29(u,v,w)),first(x))*. % 299.97/300.37 58562[16:Rew:54986.0,51251.2] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),a) member(f26(f29(u,v,w)),first(x))*. % 299.97/300.37 58565[16:Rew:54986.0,51408.2] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),a) member(f24(f30(u,v,w)),second(x))*. % 299.97/300.37 58566[16:Rew:54986.0,51405.2] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),a) member(f26(f30(u,v,w)),second(x))*. % 299.97/300.37 58567[16:Rew:54986.0,51415.1] || member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),sigma(u)) -> member(a,sigma(converse(f16(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u))))*. % 299.97/300.37 58568[16:Rew:54986.0,51418.1] || member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),first(u)) -> member(a,sigma(converse(f4(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u))))*. % 299.97/300.37 58569[16:Rew:54986.0,51421.1] || member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),second(u)) -> member(a,sigma(converse(f7(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u))))*. % 299.97/300.37 58570[16:Rew:54986.0,51423.1] little_set(u) || equal(f8(v,w),a) member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(ordered_pair(universal_set,x)))*. % 299.97/300.37 58571[16:Rew:54986.0,51425.1] little_set(u) || equal(f27(v,w),a) member(v,range_of(w))* equal(u,v)* -> member(u,range_of(ordered_pair(universal_set,x)))*. % 299.97/300.37 58573[16:Rew:54986.0,51430.0] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),a)** member(u,compose(v,w)) disjoint(ordered_pair(universal_set,x),w)* -> . % 299.97/300.37 58575[16:Rew:54986.0,51433.0] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),a)** member(u,compose(v,w)) disjoint(ordered_pair(universal_set,x),v)* -> . % 299.97/300.37 58576[16:Rew:54986.0,51585.2] || member(u,compose(v,w)) equal(x,u)* -> member(a,sigma(complement(f30(u,v,w))))* member(ordered_pair(universal_set,y),second(x))*. % 299.97/300.37 58577[16:Rew:54986.0,51586.2] || member(u,compose(v,w)) equal(x,u)* -> member(a,sigma(complement(f29(u,v,w))))* member(ordered_pair(universal_set,y),first(x))*. % 299.97/300.37 66359[0:MRR:66309.0,66309.1,83.1,84.1] little_set(u) || subset(v,w) member(ordered_pair(u,f19(v)),x) -> single_valued_set(v) member(ordered_pair(u,f20(v)),compose(x,w))*. % 299.97/300.37 66360[0:MRR:66308.0,66308.1,83.1,85.1] little_set(u) || subset(v,w) member(ordered_pair(u,f19(v)),x) -> single_valued_set(v) member(ordered_pair(u,f21(v)),compose(x,w))*. % 299.97/300.37 73296[17:Rew:73253.0,57053.3] || subset(universal_set,converse(second(u)))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(a),first(a)),apply(v,w))*. % 299.97/300.37 73366[17:Rew:73253.0,73339.2] || subset(universal_set,apply(non_ordered_pair(u,v),w))* -> equal(f28(a,non_ordered_pair(u,v),w),v) equal(f28(a,non_ordered_pair(u,v),w),u). % 299.97/300.37 73367[17:Rew:73253.0,73340.2] || subset(universal_set,image(u,non_ordered_pair(v,w)))* -> equal(f22(a,u,non_ordered_pair(v,w)),w) equal(f22(a,u,non_ordered_pair(v,w)),v). % 299.97/300.37 82834[16:Res:82637.1,4973.2] little_set(u) || equal(f22(v,w,x),a) member(v,image(w,x))* equal(u,v)* -> member(u,range_of(set_b))*. % 299.97/300.37 82833[16:Res:82637.1,4927.2] little_set(u) || equal(f28(v,w,x),a) member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(set_b))*. % 299.97/300.37 82987[3:Res:82638.1,4973.2] little_set(u) || equal(f22(v,w,x),a) member(v,image(w,x))* equal(u,v)* -> member(u,range_of(set_a))*. % 299.97/300.37 82986[3:Res:82638.1,4927.2] little_set(u) || equal(f28(v,w,x),a) member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(set_a))*. % 299.97/300.37 83142[16:Res:82641.1,4973.2] little_set(u) || equal(f22(v,w,x),a) member(v,image(w,x))* equal(u,v)* -> member(u,range_of(infinity))*. % 299.97/300.37 83141[16:Res:82641.1,4927.2] little_set(u) || equal(f28(v,w,x),a) member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(infinity))*. % 299.97/300.37 84030[16:Res:4348.2,83606.1] || member(u,compose(v,w)) subset(v,f24(powerset(x))) subset(ordered_pair(f29(u,v,w),f31(u,v,w)),x)* -> . % 299.97/300.37 84028[16:Res:4273.2,83606.1] || member(u,compose(v,w)) subset(w,f24(powerset(x))) subset(ordered_pair(f31(u,v,w),f30(u,v,w)),x)* -> . % 299.97/300.37 83986[16:Res:136.1,83606.1] || member(u,compose(v,f24(powerset(w)))) subset(ordered_pair(f31(u,v,f24(powerset(w))),f30(u,v,f24(powerset(w)))),w)* -> . % 299.97/300.37 83976[16:Res:135.1,83606.1] || member(u,compose(f24(powerset(v)),w)) subset(ordered_pair(f29(u,f24(powerset(v)),w),f31(u,f24(powerset(v)),w)),v)* -> . % 299.97/300.37 84220[2:Res:4348.2,25433.0] || member(u,compose(v,w)) subset(v,image(x,y))* subset(x,ordered_pair(f29(u,v,w),f31(u,v,w)))* -> . % 299.97/300.37 84218[2:Res:4273.2,25433.0] || member(u,compose(v,w)) subset(w,image(x,y))* subset(x,ordered_pair(f31(u,v,w),f30(u,v,w)))* -> . % 299.97/300.37 84176[2:Res:136.1,25433.0] || member(u,compose(v,image(w,x))) subset(w,ordered_pair(f31(u,v,image(w,x)),f30(u,v,image(w,x))))* -> . % 299.97/300.37 84166[2:Res:135.1,25433.0] || member(u,compose(image(v,w),x)) subset(v,ordered_pair(f29(u,image(v,w),x),f31(u,image(v,w),x)))* -> . % 299.97/300.37 86920[16:Res:82653.1,6235.0] || equal(second(f17(u,cross_product(v,universal_set))),powerset(a)) member(first(f17(u,cross_product(v,universal_set))),v)* -> subset(u,cross_product(v,universal_set)). % 299.97/300.37 87106[16:Res:82654.1,6235.0] || equal(second(f17(u,cross_product(v,universal_set))),singleton_set(a)) member(first(f17(u,cross_product(v,universal_set))),v)* -> subset(u,cross_product(v,universal_set)). % 299.97/300.37 87293[7:Res:82656.1,6235.0] || equal(second(f17(u,cross_product(v,universal_set))),sigma(infinity)) member(first(f17(u,cross_product(v,universal_set))),v)* -> subset(u,cross_product(v,universal_set)). % 299.97/300.37 87699[16:Res:82665.1,4122.1] || equal(ordered_pair(second(f28(u,v,w)),w),a)** member(u,apply(v,w)) -> member(f28(u,v,w),converse(sigma(infinity)))*. % 299.97/300.37 87696[16:Res:82665.1,4121.1] || equal(ordered_pair(u,first(f22(u,v,w))),a)** member(u,image(v,w)) -> member(f22(u,v,w),converse(sigma(infinity)))*. % 299.97/300.37 87677[16:Res:82665.1,4768.1] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),a)** member(u,rotate_right(v)) disjoint(sigma(infinity),v) -> . % 299.97/300.37 87676[16:Res:82665.1,4620.1] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),a)** member(u,flip_range_of(v)) disjoint(sigma(infinity),v) -> . % 299.97/300.37 87672[16:Res:82665.1,4284.1] || equal(ordered_pair(f31(u,v,complement(sigma(infinity))),f30(u,v,complement(sigma(infinity)))),a)** member(u,compose(v,complement(sigma(infinity)))) -> . % 299.97/300.37 87657[16:Res:82665.1,4359.1] || equal(ordered_pair(f29(u,complement(sigma(infinity)),v),f31(u,complement(sigma(infinity)),v)),a)** member(u,compose(complement(sigma(infinity)),v)) -> . % 299.97/300.37 87853[16:Res:82681.1,4122.1] || equal(ordered_pair(second(f28(u,v,w)),w),a)** member(u,apply(v,w)) -> member(f28(u,v,w),converse(successor(a)))*. % 299.97/300.37 87850[16:Res:82681.1,4121.1] || equal(ordered_pair(u,first(f22(u,v,w))),a)** member(u,image(v,w)) -> member(f22(u,v,w),converse(successor(a)))*. % 299.97/300.37 87831[16:Res:82681.1,4768.1] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),a)** member(u,rotate_right(v)) disjoint(successor(a),v) -> . % 299.97/300.37 87830[16:Res:82681.1,4620.1] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),a)** member(u,flip_range_of(v)) disjoint(successor(a),v) -> . % 299.97/300.37 87826[16:Res:82681.1,4284.1] || equal(ordered_pair(f31(u,v,complement(successor(a))),f30(u,v,complement(successor(a)))),a)** member(u,compose(v,complement(successor(a)))) -> . % 299.97/300.37 87811[16:Res:82681.1,4359.1] || equal(ordered_pair(f29(u,complement(successor(a)),v),f31(u,complement(successor(a)),v)),a)** member(u,compose(complement(successor(a)),v)) -> . % 299.97/300.37 88210[16:Res:33.2,58983.0] || member(f1(complement(intersection(u,v)),a),v)* member(f1(complement(intersection(u,v)),a),u)* -> equal(complement(intersection(u,v)),a). % 299.97/300.37 88290[16:Res:33.2,58984.0] || member(f1(a,complement(intersection(u,v))),v)* member(f1(a,complement(intersection(u,v))),u)* -> equal(complement(intersection(u,v)),a). % 299.97/300.37 88314[16:Rew:36.0,88291.2,36.0,88291.1] little_set(f1(a,complement(intersection(complement(u),complement(v))))) || -> member(f1(a,union(u,v)),union(u,v))* equal(union(u,v),a). % 299.97/300.37 88437[16:Res:57853.0,6192.1] || member(u,v) equal(first(u),w) -> equal(complement(complement(second(u))),a) member(f24(complement(complement(second(u)))),apply(v,w))*. % 299.97/300.37 88930[16:Res:1080.2,57904.0] little_set(complement(sigma(ordered_pair(u,v)))) || equal(complement(sigma(ordered_pair(u,v))),non_ordered_pair(u,v))** -> equal(complement(sigma(ordered_pair(u,v))),a). % 299.97/300.37 89286[0:Res:1549.1,14370.1] || member(u,image(cross_product(converse(complement(v)),w),x)) member(first(first(f22(u,cross_product(converse(complement(v)),w),x))),converse(v))* -> . % 299.97/300.37 89276[0:Res:554.1,14370.1] || member(first(ordered_pair(f19(cross_product(converse(complement(u)),v)),f20(cross_product(converse(complement(u)),v)))),converse(u))* -> single_valued_set(cross_product(converse(complement(u)),v)). % 299.97/300.37 89275[0:Res:553.1,14370.1] || member(first(ordered_pair(f19(cross_product(converse(complement(u)),v)),f21(cross_product(converse(complement(u)),v)))),converse(u))* -> single_valued_set(cross_product(converse(complement(u)),v)). % 299.97/300.37 89261[0:Res:1007.2,14370.1] || member(u,domain_of(v)) member(f8(u,v),converse(converse(complement(w)))) member(ordered_pair(second(f8(u,v)),u),converse(w))* -> . % 299.97/300.37 89260[0:Res:1008.2,14370.1] || member(u,range_of(v)) member(f27(u,v),converse(converse(complement(w)))) member(ordered_pair(u,first(f27(u,v))),converse(w))* -> . % 299.97/300.37 89224[0:Res:1550.1,14370.1] || member(u,image(cross_product(v,converse(complement(w))),x)) member(second(first(f22(u,cross_product(v,converse(complement(w))),x))),converse(w))* -> . % 299.97/300.37 89210[0:Res:541.1,14370.1] || member(second(ordered_pair(f19(cross_product(u,converse(complement(v)))),f20(cross_product(u,converse(complement(v)))))),converse(v))* -> single_valued_set(cross_product(u,converse(complement(v)))). % 299.97/300.37 89209[0:Res:540.1,14370.1] || member(second(ordered_pair(f19(cross_product(u,converse(complement(v)))),f21(cross_product(u,converse(complement(v)))))),converse(v))* -> single_valued_set(cross_product(u,converse(complement(v)))). % 299.97/300.37 89204[0:Res:3839.1,14370.1] || member(f1(powerset(u),converse(complement(v))),converse(v))* -> equal(powerset(u),converse(complement(v))) subset(f1(powerset(u),converse(complement(v))),u)*. % 299.97/300.37 89159[0:Res:3821.1,14370.1] || member(f1(converse(complement(u)),powerset(v)),converse(u))* -> equal(converse(complement(u)),powerset(v)) subset(f1(converse(complement(u)),powerset(v)),v)*. % 299.97/300.37 89524[0:Res:1556.1,43745.1] || member(u,image(intersection(v,flip_range_of(complement(flip_range_of(w)))),x)) member(first(f22(u,intersection(v,flip_range_of(complement(flip_range_of(w)))),x)),w)* -> . % 299.97/300.37 89523[0:Res:1344.1,43745.1] || member(u,image(v,cross_product(flip_range_of(complement(flip_range_of(w))),x))) member(first(f22(u,v,cross_product(flip_range_of(complement(flip_range_of(w))),x))),w)* -> . % 299.97/300.37 89520[0:Res:1555.1,43745.1] || member(u,image(intersection(flip_range_of(complement(flip_range_of(v))),w),x)) member(first(f22(u,intersection(flip_range_of(complement(flip_range_of(v))),w),x)),v)* -> . % 299.97/300.37 89495[0:Res:1007.2,43745.1] || member(u,domain_of(v)) member(f8(u,v),converse(flip_range_of(complement(flip_range_of(w)))))* member(ordered_pair(second(f8(u,v)),u),w)* -> . % 299.97/300.37 89494[0:Res:1008.2,43745.1] || member(u,range_of(v)) member(f27(u,v),converse(flip_range_of(complement(flip_range_of(w)))))* member(ordered_pair(u,first(f27(u,v))),w)* -> . % 299.97/300.37 89457[0:Res:1280.1,43745.1] || member(u,apply(cross_product(v,flip_range_of(complement(flip_range_of(w)))),x)) member(second(f28(u,cross_product(v,flip_range_of(complement(flip_range_of(w)))),x)),w)* -> . % 299.97/300.37 89602[16:Res:4357.1,56180.0] || member(u,compose(powerset(v),w)) disjoint(v,universal_set) -> equal(ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w)),a)**. % 299.97/300.37 89593[16:Res:4282.1,56180.0] || member(u,compose(v,powerset(w))) disjoint(w,universal_set) -> equal(ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w))),a)**. % 299.97/300.37 92721[0:Res:4347.2,19261.0] || member(u,compose(v,w)) member(v,intersection(x,y))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),sigma(x))*. % 299.97/300.37 92720[0:Res:4272.2,19261.0] || member(u,compose(v,w)) member(w,intersection(x,y))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),sigma(x))*. % 299.97/300.37 92699[0:Res:1556.1,19261.0] || member(u,image(intersection(v,sigma(intersection(w,x))),y)) -> member(first(f22(u,intersection(v,sigma(intersection(w,x))),y)),sigma(w))*. % 299.97/300.37 92698[0:Res:1344.1,19261.0] || member(u,image(v,cross_product(sigma(intersection(w,x)),y))) -> member(first(f22(u,v,cross_product(sigma(intersection(w,x)),y))),sigma(w))*. % 299.97/300.37 92695[0:Res:1555.1,19261.0] || member(u,image(intersection(sigma(intersection(v,w)),x),y)) -> member(first(f22(u,intersection(sigma(intersection(v,w)),x),y)),sigma(v))*. % 299.97/300.37 92671[0:Res:1007.2,19261.0] || member(u,domain_of(v)) member(f8(u,v),converse(sigma(intersection(w,x))))* -> member(ordered_pair(second(f8(u,v)),u),sigma(w))*. % 299.97/300.37 92670[0:Res:1008.2,19261.0] || member(u,range_of(v)) member(f27(u,v),converse(sigma(intersection(w,x))))* -> member(ordered_pair(u,first(f27(u,v))),sigma(w))*. % 299.97/300.37 92633[0:Res:1280.1,19261.0] || member(u,apply(cross_product(v,sigma(intersection(w,x))),y)) -> member(second(f28(u,cross_product(v,sigma(intersection(w,x))),y)),sigma(w))*. % 299.97/300.37 92923[0:Res:4347.2,19263.0] || member(u,compose(v,w)) member(v,intersection(x,y))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),sigma(y))*. % 299.97/300.37 92922[0:Res:4272.2,19263.0] || member(u,compose(v,w)) member(w,intersection(x,y))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),sigma(y))*. % 299.97/300.37 92901[0:Res:1556.1,19263.0] || member(u,image(intersection(v,sigma(intersection(w,x))),y)) -> member(first(f22(u,intersection(v,sigma(intersection(w,x))),y)),sigma(x))*. % 299.97/300.38 92900[0:Res:1344.1,19263.0] || member(u,image(v,cross_product(sigma(intersection(w,x)),y))) -> member(first(f22(u,v,cross_product(sigma(intersection(w,x)),y))),sigma(x))*. % 299.97/300.38 92897[0:Res:1555.1,19263.0] || member(u,image(intersection(sigma(intersection(v,w)),x),y)) -> member(first(f22(u,intersection(sigma(intersection(v,w)),x),y)),sigma(w))*. % 299.97/300.38 92873[0:Res:1007.2,19263.0] || member(u,domain_of(v)) member(f8(u,v),converse(sigma(intersection(w,x))))* -> member(ordered_pair(second(f8(u,v)),u),sigma(x))*. % 299.97/300.38 92872[0:Res:1008.2,19263.0] || member(u,range_of(v)) member(f27(u,v),converse(sigma(intersection(w,x))))* -> member(ordered_pair(u,first(f27(u,v))),sigma(x))*. % 299.97/300.38 92835[0:Res:1280.1,19263.0] || member(u,apply(cross_product(v,sigma(intersection(w,x))),y)) -> member(second(f28(u,cross_product(v,sigma(intersection(w,x))),y)),sigma(x))*. % 299.97/300.38 93032[16:Res:1548.1,56181.0] || member(u,image(powerset(v),w)) disjoint(v,first(f22(u,powerset(v),w)))* -> equal(first(f22(u,powerset(v),w)),a). % 299.97/300.38 94233[16:Res:57719.1,6192.1] || member(u,v) equal(first(u),w) -> equal(restrict(second(u),x),a) member(f24(restrict(second(u),x)),apply(v,w))*. % 299.97/300.38 94475[0:Res:4357.1,14041.0] || member(u,compose(powerset(v),w)) disjoint(v,x) -> disjoint(ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w)),x)*. % 299.97/300.38 94466[0:Res:4282.1,14041.0] || member(u,compose(v,powerset(w))) disjoint(w,x) -> disjoint(ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w))),x)*. % 299.97/300.38 94805[0:Res:4357.1,14151.0] || member(u,compose(powerset(v),w)) disjoint(v,x) -> disjoint(x,ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w)))*. % 299.97/300.38 94796[0:Res:4282.1,14151.0] || member(u,compose(v,powerset(w))) disjoint(w,x) -> disjoint(x,ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w))))*. % 299.97/300.38 94899[16:Res:91681.1,5070.1] || equal(complement(ordered_pair(f13(u,v),f14(u,v))),a)** member(u,flip_range_of(v)) equal(w,u)* -> member(infinity,second(w))*. % 299.97/300.38 94898[16:Res:91681.1,5068.1] || equal(complement(ordered_pair(f10(u,v),f11(u,v))),a)** member(u,rotate_right(v)) equal(w,u)* -> member(infinity,second(w))*. % 299.97/300.38 95429[16:Res:92031.1,5070.1] || equal(complement(ordered_pair(f13(u,v),f14(u,v))),a)** member(u,flip_range_of(v)) equal(w,u)* -> member(a,second(w))*. % 299.97/300.38 95428[16:Res:92031.1,5068.1] || equal(complement(ordered_pair(f10(u,v),f11(u,v))),a)** member(u,rotate_right(v)) equal(w,u)* -> member(a,second(w))*. % 299.97/300.38 96188[0:MRR:96126.0,96126.1,85.1,83.1] little_set(u) || member(ordered_pair(u,ordered_pair(f21(singleton_set(v)),f19(singleton_set(v)))),w)* -> single_valued_set(singleton_set(v)) member(ordered_pair(u,v),flip_range_of(w)). % 299.97/300.38 96189[0:MRR:96125.0,96125.1,85.1,83.1] little_set(u) || member(ordered_pair(f19(singleton_set(v)),ordered_pair(f21(singleton_set(v)),u)),w)* -> single_valued_set(singleton_set(v)) member(ordered_pair(u,v),rotate_right(w)). % 299.97/300.38 96831[0:MRR:96772.0,96772.1,84.1,83.1] little_set(u) || member(ordered_pair(u,ordered_pair(f20(singleton_set(v)),f19(singleton_set(v)))),w)* -> single_valued_set(singleton_set(v)) member(ordered_pair(u,v),flip_range_of(w)). % 299.97/300.38 96832[0:MRR:96771.0,96771.1,84.1,83.1] little_set(u) || member(ordered_pair(f19(singleton_set(v)),ordered_pair(f20(singleton_set(v)),u)),w)* -> single_valued_set(singleton_set(v)) member(ordered_pair(u,v),rotate_right(w)). % 299.97/300.38 96993[0:Res:21407.1,1140.1] ordered_pair_predicate(f4(u,v)) || member(u,first(v)) -> member(u,sigma(converse(powerset(ordered_pair(second(f4(u,v)),first(f4(u,v)))))))*. % 299.97/300.38 96992[0:Res:21407.1,1139.1] ordered_pair_predicate(f7(u,v)) || member(u,second(v)) -> member(u,sigma(converse(powerset(ordered_pair(second(f7(u,v)),first(f7(u,v)))))))*. % 299.97/300.38 97105[3:MRR:97022.0,6177.1] || member(u,image(v,w)) disjoint(converse(powerset(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))))),v)* -> . % 299.97/300.38 97751[0:Res:1556.1,2899.0] || member(u,image(intersection(v,domain_of(singleton_set(w))),x)) -> equal(f8(first(f22(u,intersection(v,domain_of(singleton_set(w))),x)),singleton_set(w)),w)**. % 299.97/300.38 97750[0:Res:1344.1,2899.0] || member(u,image(v,cross_product(domain_of(singleton_set(w)),x))) -> equal(f8(first(f22(u,v,cross_product(domain_of(singleton_set(w)),x))),singleton_set(w)),w)**. % 299.97/300.38 97747[0:Res:1555.1,2899.0] || member(u,image(intersection(domain_of(singleton_set(v)),w),x)) -> equal(f8(first(f22(u,intersection(domain_of(singleton_set(v)),w),x)),singleton_set(v)),v)**. % 299.97/300.38 97730[0:Res:288.1,2899.0] || -> single_valued_set(intersection(domain_of(singleton_set(u)),v)) equal(f8(ordered_pair(f19(intersection(domain_of(singleton_set(u)),v)),f20(intersection(domain_of(singleton_set(u)),v))),singleton_set(u)),u)**. % 299.97/300.38 97729[0:Res:287.1,2899.0] || -> single_valued_set(intersection(domain_of(singleton_set(u)),v)) equal(f8(ordered_pair(f19(intersection(domain_of(singleton_set(u)),v)),f21(intersection(domain_of(singleton_set(u)),v))),singleton_set(u)),u)**. % 299.97/300.38 97719[0:Res:280.1,2899.0] || -> single_valued_set(intersection(u,domain_of(singleton_set(v)))) equal(f8(ordered_pair(f19(intersection(u,domain_of(singleton_set(v)))),f20(intersection(u,domain_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.38 97718[0:Res:279.1,2899.0] || -> single_valued_set(intersection(u,domain_of(singleton_set(v)))) equal(f8(ordered_pair(f19(intersection(u,domain_of(singleton_set(v)))),f21(intersection(u,domain_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.38 97685[0:Res:1280.1,2899.0] || member(u,apply(cross_product(v,domain_of(singleton_set(w))),x)) -> equal(f8(second(f28(u,cross_product(v,domain_of(singleton_set(w))),x)),singleton_set(w)),w)**. % 299.97/300.38 97964[0:Res:1556.1,2938.0] || member(u,image(intersection(v,sigma(singleton_set(w))),x)) -> equal(f16(first(f22(u,intersection(v,sigma(singleton_set(w))),x)),singleton_set(w)),w)**. % 299.97/300.38 97963[0:Res:1344.1,2938.0] || member(u,image(v,cross_product(sigma(singleton_set(w)),x))) -> equal(f16(first(f22(u,v,cross_product(sigma(singleton_set(w)),x))),singleton_set(w)),w)**. % 299.97/300.38 97960[0:Res:1555.1,2938.0] || member(u,image(intersection(sigma(singleton_set(v)),w),x)) -> equal(f16(first(f22(u,intersection(sigma(singleton_set(v)),w),x)),singleton_set(v)),v)**. % 299.97/300.38 97943[0:Res:288.1,2938.0] || -> single_valued_set(intersection(sigma(singleton_set(u)),v)) equal(f16(ordered_pair(f19(intersection(sigma(singleton_set(u)),v)),f20(intersection(sigma(singleton_set(u)),v))),singleton_set(u)),u)**. % 299.97/300.38 97942[0:Res:287.1,2938.0] || -> single_valued_set(intersection(sigma(singleton_set(u)),v)) equal(f16(ordered_pair(f19(intersection(sigma(singleton_set(u)),v)),f21(intersection(sigma(singleton_set(u)),v))),singleton_set(u)),u)**. % 299.97/300.38 97932[0:Res:280.1,2938.0] || -> single_valued_set(intersection(u,sigma(singleton_set(v)))) equal(f16(ordered_pair(f19(intersection(u,sigma(singleton_set(v)))),f20(intersection(u,sigma(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.38 97931[0:Res:279.1,2938.0] || -> single_valued_set(intersection(u,sigma(singleton_set(v)))) equal(f16(ordered_pair(f19(intersection(u,sigma(singleton_set(v)))),f21(intersection(u,sigma(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.38 97898[0:Res:1280.1,2938.0] || member(u,apply(cross_product(v,sigma(singleton_set(w))),x)) -> equal(f16(second(f28(u,cross_product(v,sigma(singleton_set(w))),x)),singleton_set(w)),w)**. % 299.97/300.38 98207[0:Res:1556.1,2959.0] || member(u,image(intersection(v,range_of(singleton_set(w))),x)) -> equal(f27(first(f22(u,intersection(v,range_of(singleton_set(w))),x)),singleton_set(w)),w)**. % 299.97/300.38 98206[0:Res:1344.1,2959.0] || member(u,image(v,cross_product(range_of(singleton_set(w)),x))) -> equal(f27(first(f22(u,v,cross_product(range_of(singleton_set(w)),x))),singleton_set(w)),w)**. % 299.97/300.38 98203[0:Res:1555.1,2959.0] || member(u,image(intersection(range_of(singleton_set(v)),w),x)) -> equal(f27(first(f22(u,intersection(range_of(singleton_set(v)),w),x)),singleton_set(v)),v)**. % 299.97/300.38 98186[0:Res:288.1,2959.0] || -> single_valued_set(intersection(range_of(singleton_set(u)),v)) equal(f27(ordered_pair(f19(intersection(range_of(singleton_set(u)),v)),f20(intersection(range_of(singleton_set(u)),v))),singleton_set(u)),u)**. % 299.97/300.38 98185[0:Res:287.1,2959.0] || -> single_valued_set(intersection(range_of(singleton_set(u)),v)) equal(f27(ordered_pair(f19(intersection(range_of(singleton_set(u)),v)),f21(intersection(range_of(singleton_set(u)),v))),singleton_set(u)),u)**. % 299.97/300.38 98175[0:Res:280.1,2959.0] || -> single_valued_set(intersection(u,range_of(singleton_set(v)))) equal(f27(ordered_pair(f19(intersection(u,range_of(singleton_set(v)))),f20(intersection(u,range_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.38 98174[0:Res:279.1,2959.0] || -> single_valued_set(intersection(u,range_of(singleton_set(v)))) equal(f27(ordered_pair(f19(intersection(u,range_of(singleton_set(v)))),f21(intersection(u,range_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.38 98141[0:Res:1280.1,2959.0] || member(u,apply(cross_product(v,range_of(singleton_set(w))),x)) -> equal(f27(second(f28(u,cross_product(v,range_of(singleton_set(w))),x)),singleton_set(w)),w)**. % 299.97/300.38 99377[2:Res:18201.1,616.1] ordered_pair_predicate(first(f27(converse(complement(u)),v))) || member(converse(complement(u)),range_of(v)) -> member(first(f27(converse(complement(u)),v)),converse(u))*. % 299.97/300.38 99479[0:MRR:99403.0,106.1] little_set(u) || member(v,range_of(w)) equal(u,v)* -> member(f27(v,w),converse(x))* member(u,range_of(converse(complement(x))))*. % 299.97/300.38 99480[0:MRR:99402.0,37.1] little_set(u) || member(v,domain_of(w)) equal(u,v)* -> member(f8(v,w),converse(x))* member(u,domain_of(converse(complement(x))))*. % 299.97/300.38 99481[0:MRR:99383.0,117.1] || member(u,apply(v,w)) equal(w,x)* -> member(f28(u,v,w),converse(y))* member(u,apply(converse(complement(y)),x))*. % 299.97/300.38 99497[3:SSi:99391.0,5742.0,371.1] || member(u,compose(v,w)) disjoint(converse(complement(x)),v) -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),converse(x))*. % 299.97/300.38 99498[3:SSi:99390.0,5742.0,371.1] || member(u,compose(v,w)) disjoint(converse(complement(x)),w) -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),converse(x))*. % 299.97/300.38 99635[0:Res:22366.2,3823.0] ordered_pair_predicate(u) || member(f1(v,complement(first(u))),f2(u))* -> equal(v,complement(first(u))) member(f1(v,complement(first(u))),v)*. % 299.97/300.38 99619[0:Res:22366.2,3841.0] ordered_pair_predicate(u) || member(f1(complement(first(u)),v),f2(u))* -> equal(complement(first(u)),v) member(f1(complement(first(u)),v),v)*. % 299.97/300.38 99616[0:Res:22366.2,4164.0] ordered_pair_predicate(u) || member(f1(first(u),complement(v)),f2(u))* -> member(f1(first(u),complement(v)),v)* equal(first(u),complement(v)). % 299.97/300.38 99829[0:Res:22612.2,3823.0] ordered_pair_predicate(u) || member(f1(v,complement(second(u))),f3(u))* -> equal(v,complement(second(u))) member(f1(v,complement(second(u))),v)*. % 299.97/300.38 99813[0:Res:22612.2,3841.0] ordered_pair_predicate(u) || member(f1(complement(second(u)),v),f3(u))* -> equal(complement(second(u)),v) member(f1(complement(second(u)),v),v)*. % 299.97/300.38 99810[0:Res:22612.2,4164.0] ordered_pair_predicate(u) || member(f1(second(u),complement(v)),f3(u))* -> member(f1(second(u),complement(v)),v)* equal(second(u),complement(v)). % 299.97/300.38 100052[16:Res:59019.2,5065.1] || subset(u,f7(v,w))* member(v,second(w)) equal(x,w)* -> equal(u,a) member(f1(u,a),second(x))*. % 299.97/300.38 100051[16:Res:59019.2,5064.1] || subset(u,f5(v,w))* member(v,first(w)) equal(x,w)* -> equal(u,a) member(f1(u,a),second(x))*. % 299.97/300.38 100050[16:Res:59019.2,5024.1] || subset(u,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> equal(u,a) member(f1(u,a),first(x))*. % 299.97/300.38 100049[16:Res:59019.2,5022.1] || subset(u,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> equal(u,a) member(f1(u,a),first(x))*. % 299.97/300.38 100048[16:Res:59019.2,5020.1] || subset(u,f6(v,w))* member(v,second(w)) equal(x,w)* -> equal(u,a) member(f1(u,a),first(x))*. % 299.97/300.38 100047[16:Res:59019.2,5019.1] || subset(u,f4(v,w))* member(v,first(w)) equal(x,w)* -> equal(u,a) member(f1(u,a),first(x))*. % 299.97/300.38 100045[16:Res:59019.2,6192.1] || subset(u,second(v))* member(v,w)* equal(first(v),x)* -> equal(u,a) member(f1(u,a),apply(w,x))*. % 299.97/300.38 99997[16:Res:59019.2,1163.0] || subset(u,converse(v))* member(v,w)* -> equal(u,a) member(ordered_pair(second(f1(u,a)),first(f1(u,a))),sigma(w))*. % 299.97/300.38 100269[16:Res:56165.2,3812.0] || subset(u,powerset(v)) -> equal(u,a) equal(w,f24(u)) member(f1(w,f24(u)),w)* member(f1(w,f24(u)),v)*. % 299.97/300.38 100268[16:Res:56165.2,3830.0] || subset(u,powerset(v)) -> equal(u,a) equal(f24(u),w) member(f1(f24(u),w),w)* member(f1(f24(u),w),v)*. % 299.97/300.38 100670[16:Res:59021.2,5065.1] || subset(u,f7(v,w))* member(v,second(w)) equal(x,w)* -> equal(a,u) member(f1(a,u),second(x))*. % 299.97/300.38 100669[16:Res:59021.2,5064.1] || subset(u,f5(v,w))* member(v,first(w)) equal(x,w)* -> equal(a,u) member(f1(a,u),second(x))*. % 299.97/300.38 100668[16:Res:59021.2,5024.1] || subset(u,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> equal(a,u) member(f1(a,u),first(x))*. % 299.97/300.38 100667[16:Res:59021.2,5022.1] || subset(u,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> equal(a,u) member(f1(a,u),first(x))*. % 299.97/300.38 100666[16:Res:59021.2,5020.1] || subset(u,f6(v,w))* member(v,second(w)) equal(x,w)* -> equal(a,u) member(f1(a,u),first(x))*. % 299.97/300.38 100665[16:Res:59021.2,5019.1] || subset(u,f4(v,w))* member(v,first(w)) equal(x,w)* -> equal(a,u) member(f1(a,u),first(x))*. % 299.97/300.38 100663[16:Res:59021.2,6192.1] || subset(u,second(v))* member(v,w)* equal(first(v),x)* -> equal(a,u) member(f1(a,u),apply(w,x))*. % 299.97/300.38 100610[16:Res:59021.2,1163.0] || subset(u,converse(v))* member(v,w)* -> equal(a,u) member(ordered_pair(second(f1(a,u)),first(f1(a,u))),sigma(w))*. % 299.97/300.38 101762[16:Res:57867.1,5065.1] || disjoint(complement(f7(u,v)),w)* member(u,second(v)) equal(x,v)* -> equal(w,a) member(f24(w),second(x))*. % 299.97/300.38 101761[16:Res:57867.1,5064.1] || disjoint(complement(f5(u,v)),w)* member(u,first(v)) equal(x,v)* -> equal(w,a) member(f24(w),second(x))*. % 299.97/300.38 101760[16:Res:57867.1,5024.1] || disjoint(complement(f12(u,v)),w)* member(u,flip_range_of(v)) equal(x,u)* -> equal(w,a) member(f24(w),first(x))*. % 299.97/300.38 101759[16:Res:57867.1,5022.1] || disjoint(complement(f9(u,v)),w)* member(u,rotate_right(v)) equal(x,u)* -> equal(w,a) member(f24(w),first(x))*. % 299.97/300.38 101758[16:Res:57867.1,5020.1] || disjoint(complement(f6(u,v)),w)* member(u,second(v)) equal(x,v)* -> equal(w,a) member(f24(w),first(x))*. % 299.97/300.38 101757[16:Res:57867.1,5019.1] || disjoint(complement(f4(u,v)),w)* member(u,first(v)) equal(x,v)* -> equal(w,a) member(f24(w),first(x))*. % 299.97/300.38 101755[16:Res:57867.1,6192.1] || disjoint(complement(second(u)),v)* member(u,w)* equal(first(u),x)* -> equal(v,a) member(f24(v),apply(w,x))*. % 299.97/300.38 103247[3:SSi:103201.0,5742.0,150.0,63.0,15957.1] || member(ordered_pair(second(singleton_set(infinity)),first(singleton_set(infinity))),second(u)) -> member(infinity,sigma(converse(f7(ordered_pair(second(singleton_set(infinity)),first(singleton_set(infinity))),u))))*. % 299.97/300.38 103248[3:SSi:103200.0,5742.0,150.0,63.0,15957.1] || member(ordered_pair(second(singleton_set(infinity)),first(singleton_set(infinity))),first(u)) -> member(infinity,sigma(converse(f4(ordered_pair(second(singleton_set(infinity)),first(singleton_set(infinity))),u))))*. % 299.97/300.38 103249[3:SSi:103199.0,5742.0,150.0,63.0,15957.1] || member(ordered_pair(second(singleton_set(infinity)),first(singleton_set(infinity))),sigma(u)) -> member(infinity,sigma(converse(f16(ordered_pair(second(singleton_set(infinity)),first(singleton_set(infinity))),u))))*. % 299.97/300.38 103625[0:Res:427.1,16184.0] || member(u,range_of(intersection(v,domain_of(intersection(cross_product(w,x),y))))) -> member(f27(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))),w)*. % 299.97/300.38 103623[0:Res:456.1,16184.0] || member(u,sigma(intersection(v,domain_of(intersection(cross_product(w,x),y))))) -> member(f16(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))),w)*. % 299.97/300.38 103621[0:Res:494.1,16184.0] || member(u,domain_of(intersection(v,domain_of(intersection(cross_product(w,x),y))))) -> member(f8(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))),w)*. % 299.97/300.38 103581[0:Res:426.1,16184.0] || member(u,range_of(intersection(domain_of(intersection(cross_product(v,w),x)),y))) -> member(f27(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)),v)*. % 299.97/300.38 103579[0:Res:455.1,16184.0] || member(u,sigma(intersection(domain_of(intersection(cross_product(v,w),x)),y))) -> member(f16(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)),v)*. % 299.97/300.38 103577[0:Res:493.1,16184.0] || member(u,domain_of(intersection(domain_of(intersection(cross_product(v,w),x)),y))) -> member(f8(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)),v)*. % 299.97/300.38 103531[0:Res:86.1,16184.0] || -> single_valued_set(domain_of(intersection(cross_product(u,v),w))) member(ordered_pair(f19(domain_of(intersection(cross_product(u,v),w))),f20(domain_of(intersection(cross_product(u,v),w)))),u)*. % 299.97/300.38 103530[0:Res:87.1,16184.0] || -> single_valued_set(domain_of(intersection(cross_product(u,v),w))) member(ordered_pair(f19(domain_of(intersection(cross_product(u,v),w))),f21(domain_of(intersection(cross_product(u,v),w)))),u)*. % 299.97/300.38 103867[0:Res:427.1,16416.0] || member(u,range_of(intersection(v,domain_of(intersection(w,cross_product(x,y)))))) -> member(f27(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))),x)*. % 299.97/300.38 103865[0:Res:456.1,16416.0] || member(u,sigma(intersection(v,domain_of(intersection(w,cross_product(x,y)))))) -> member(f16(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))),x)*. % 299.97/300.38 103863[0:Res:494.1,16416.0] || member(u,domain_of(intersection(v,domain_of(intersection(w,cross_product(x,y)))))) -> member(f8(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))),x)*. % 299.97/300.38 103823[0:Res:426.1,16416.0] || member(u,range_of(intersection(domain_of(intersection(v,cross_product(w,x))),y))) -> member(f27(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)),w)*. % 299.97/300.38 103821[0:Res:455.1,16416.0] || member(u,sigma(intersection(domain_of(intersection(v,cross_product(w,x))),y))) -> member(f16(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)),w)*. % 299.97/300.38 103819[0:Res:493.1,16416.0] || member(u,domain_of(intersection(domain_of(intersection(v,cross_product(w,x))),y))) -> member(f8(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)),w)*. % 299.97/300.38 103773[0:Res:86.1,16416.0] || -> single_valued_set(domain_of(intersection(u,cross_product(v,w)))) member(ordered_pair(f19(domain_of(intersection(u,cross_product(v,w)))),f20(domain_of(intersection(u,cross_product(v,w))))),v)*. % 299.97/300.38 103772[0:Res:87.1,16416.0] || -> single_valued_set(domain_of(intersection(u,cross_product(v,w)))) member(ordered_pair(f19(domain_of(intersection(u,cross_product(v,w)))),f21(domain_of(intersection(u,cross_product(v,w))))),v)*. % 299.97/300.38 104112[0:Res:427.1,17439.0] || member(u,range_of(intersection(v,range_of(intersection(cross_product(w,x),y))))) -> member(f27(u,intersection(v,range_of(intersection(cross_product(w,x),y)))),x)*. % 299.97/300.38 104110[0:Res:456.1,17439.0] || member(u,sigma(intersection(v,range_of(intersection(cross_product(w,x),y))))) -> member(f16(u,intersection(v,range_of(intersection(cross_product(w,x),y)))),x)*. % 299.97/300.38 104108[0:Res:494.1,17439.0] || member(u,domain_of(intersection(v,range_of(intersection(cross_product(w,x),y))))) -> member(f8(u,intersection(v,range_of(intersection(cross_product(w,x),y)))),x)*. % 299.97/300.38 104068[0:Res:426.1,17439.0] || member(u,range_of(intersection(range_of(intersection(cross_product(v,w),x)),y))) -> member(f27(u,intersection(range_of(intersection(cross_product(v,w),x)),y)),w)*. % 299.97/300.38 104066[0:Res:455.1,17439.0] || member(u,sigma(intersection(range_of(intersection(cross_product(v,w),x)),y))) -> member(f16(u,intersection(range_of(intersection(cross_product(v,w),x)),y)),w)*. % 299.97/300.38 104064[0:Res:493.1,17439.0] || member(u,domain_of(intersection(range_of(intersection(cross_product(v,w),x)),y))) -> member(f8(u,intersection(range_of(intersection(cross_product(v,w),x)),y)),w)*. % 299.97/300.38 104018[0:Res:86.1,17439.0] || -> single_valued_set(range_of(intersection(cross_product(u,v),w))) member(ordered_pair(f19(range_of(intersection(cross_product(u,v),w))),f20(range_of(intersection(cross_product(u,v),w)))),v)*. % 299.97/300.38 104017[0:Res:87.1,17439.0] || -> single_valued_set(range_of(intersection(cross_product(u,v),w))) member(ordered_pair(f19(range_of(intersection(cross_product(u,v),w))),f21(range_of(intersection(cross_product(u,v),w)))),v)*. % 299.97/300.38 104389[0:Res:427.1,17546.0] || member(u,range_of(intersection(v,range_of(intersection(w,cross_product(x,y)))))) -> member(f27(u,intersection(v,range_of(intersection(w,cross_product(x,y))))),y)*. % 299.97/300.38 104387[0:Res:456.1,17546.0] || member(u,sigma(intersection(v,range_of(intersection(w,cross_product(x,y)))))) -> member(f16(u,intersection(v,range_of(intersection(w,cross_product(x,y))))),y)*. % 299.97/300.38 104385[0:Res:494.1,17546.0] || member(u,domain_of(intersection(v,range_of(intersection(w,cross_product(x,y)))))) -> member(f8(u,intersection(v,range_of(intersection(w,cross_product(x,y))))),y)*. % 299.97/300.38 104345[0:Res:426.1,17546.0] || member(u,range_of(intersection(range_of(intersection(v,cross_product(w,x))),y))) -> member(f27(u,intersection(range_of(intersection(v,cross_product(w,x))),y)),x)*. % 299.97/300.38 104343[0:Res:455.1,17546.0] || member(u,sigma(intersection(range_of(intersection(v,cross_product(w,x))),y))) -> member(f16(u,intersection(range_of(intersection(v,cross_product(w,x))),y)),x)*. % 299.97/300.38 104341[0:Res:493.1,17546.0] || member(u,domain_of(intersection(range_of(intersection(v,cross_product(w,x))),y))) -> member(f8(u,intersection(range_of(intersection(v,cross_product(w,x))),y)),x)*. % 299.97/300.38 104295[0:Res:86.1,17546.0] || -> single_valued_set(range_of(intersection(u,cross_product(v,w)))) member(ordered_pair(f19(range_of(intersection(u,cross_product(v,w)))),f20(range_of(intersection(u,cross_product(v,w))))),w)*. % 299.97/300.38 104294[0:Res:87.1,17546.0] || -> single_valued_set(range_of(intersection(u,cross_product(v,w)))) member(ordered_pair(f19(range_of(intersection(u,cross_product(v,w)))),f21(range_of(intersection(u,cross_product(v,w))))),w)*. % 299.97/300.38 104650[2:Res:18826.1,616.1] little_set(first(f27(union(u,v),w))) || member(union(u,v),range_of(w)) -> member(first(f27(union(u,v),w)),complement(u))*. % 299.97/300.38 104747[0:MRR:104676.0,420.1] little_set(u) || member(v,range_of(w)) equal(u,v)* -> member(f27(v,w),complement(x))* member(u,range_of(union(x,y)))*. % 299.97/300.38 104748[0:MRR:104675.0,487.1] little_set(u) || member(v,domain_of(w)) equal(u,v)* -> member(f8(v,w),complement(x))* member(u,domain_of(union(x,y)))*. % 299.97/300.38 104749[0:MRR:104656.0,1275.1] || member(u,apply(v,w)) equal(w,x)* -> member(f28(u,v,w),complement(y))* member(u,apply(union(y,z),x))*. % 299.97/300.38 104765[0:SSi:104664.0,371.0] || member(u,compose(v,w)) disjoint(union(x,y),v)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),complement(x))*. % 299.97/300.38 104766[0:SSi:104663.0,371.0] || member(u,compose(v,w)) disjoint(union(x,y),w)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),complement(x))*. % 299.97/300.38 104994[2:Res:18827.1,616.1] little_set(first(f27(union(u,v),w))) || member(union(u,v),range_of(w)) -> member(first(f27(union(u,v),w)),complement(v))*. % 299.97/300.38 105093[0:MRR:105020.0,420.1] little_set(u) || member(v,range_of(w)) equal(u,v)* -> member(f27(v,w),complement(x))* member(u,range_of(union(y,x)))*. % 299.97/300.38 105094[0:MRR:105019.0,487.1] little_set(u) || member(v,domain_of(w)) equal(u,v)* -> member(f8(v,w),complement(x))* member(u,domain_of(union(y,x)))*. % 299.97/300.38 105095[0:MRR:105000.0,1275.1] || member(u,apply(v,w)) equal(w,x)* -> member(f28(u,v,w),complement(y))* member(u,apply(union(z,y),x))*. % 299.97/300.38 105111[0:SSi:105008.0,371.0] || member(u,compose(v,w)) disjoint(union(x,y),v)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),complement(y))*. % 299.97/300.38 105112[0:SSi:105007.0,371.0] || member(u,compose(v,w)) disjoint(union(x,y),w)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),complement(y))*. % 299.97/300.38 105388[0:Res:557.1,26698.0] || member(u,range_of(cross_product(apply(cross_product(v,w),x),y))) -> member(first(f27(u,cross_product(apply(cross_product(v,w),x),y))),sigma(w))*. % 299.97/300.38 105387[0:Res:558.1,26698.0] || member(u,sigma(cross_product(apply(cross_product(v,w),x),y))) -> member(first(f16(u,cross_product(apply(cross_product(v,w),x),y))),sigma(w))*. % 299.97/300.38 105326[0:Res:545.1,26698.0] || member(u,sigma(cross_product(v,apply(cross_product(w,x),y)))) -> member(second(f16(u,cross_product(v,apply(cross_product(w,x),y)))),sigma(x))*. % 299.97/300.38 105325[0:Res:546.1,26698.0] || member(u,domain_of(cross_product(v,apply(cross_product(w,x),y)))) -> member(second(f8(u,cross_product(v,apply(cross_product(w,x),y)))),sigma(x))*. % 299.97/300.38 7964[0:Res:136.1,274.0] || member(u,compose(v,restrict(w,x))) -> member(ordered_pair(f31(u,v,restrict(w,x)),f30(u,v,restrict(w,x))),cross_product(x,universal_set))*. % 299.97/300.38 7961[0:Res:135.1,274.0] || member(u,compose(restrict(v,w),x)) -> member(ordered_pair(f29(u,restrict(v,w),x),f31(u,restrict(v,w),x)),cross_product(w,universal_set))*. % 299.97/300.38 9432[0:Res:52.1,4549.0] || member(u,rotate_right(flip_range_of(v))) equal(w,ordered_pair(f10(u,flip_range_of(v)),ordered_pair(f11(u,flip_range_of(v)),f9(u,flip_range_of(v)))))* -> ordered_pair_predicate(w)*. % 299.97/300.38 9431[0:Res:58.1,4549.0] || member(u,flip_range_of(flip_range_of(v))) equal(w,ordered_pair(f12(u,flip_range_of(v)),ordered_pair(f14(u,flip_range_of(v)),f13(u,flip_range_of(v)))))* -> ordered_pair_predicate(w)*. % 299.97/300.38 9713[0:Res:52.1,4578.0] || member(u,rotate_right(rotate_right(v))) equal(w,ordered_pair(f10(u,rotate_right(v)),ordered_pair(f11(u,rotate_right(v)),f9(u,rotate_right(v)))))* -> ordered_pair_predicate(w)*. % 299.97/300.38 9712[0:Res:58.1,4578.0] || member(u,flip_range_of(rotate_right(v))) equal(w,ordered_pair(f12(u,rotate_right(v)),ordered_pair(f14(u,rotate_right(v)),f13(u,rotate_right(v)))))* -> ordered_pair_predicate(w)*. % 299.97/300.38 9849[0:Res:6.1,1354.0] || -> equal(u,image(v,cross_product(w,x))) member(f1(u,image(v,cross_product(w,x))),u)* member(f1(u,image(v,cross_product(w,x))),x)*. % 299.97/300.38 9838[0:Res:6.2,1354.0] || -> equal(image(u,cross_product(v,w)),x) member(f1(image(u,cross_product(v,w)),x),x)* member(f1(image(u,cross_product(v,w)),x),w)*. % 299.97/300.38 10943[2:Res:33.2,616.1] || member(first(f27(intersection(u,v),w)),v)* member(first(f27(intersection(u,v),w)),u)* member(intersection(u,v),range_of(w)) -> . % 299.97/300.38 11244[3:Res:278.1,6192.1] || member(u,v) equal(first(u),w) -> subset(intersection(x,second(u)),y) member(f17(intersection(x,second(u)),y),apply(v,w))*. % 299.97/300.38 11231[0:Res:278.1,8.0] || -> subset(intersection(u,non_ordered_pair(v,w)),x) equal(f17(intersection(u,non_ordered_pair(v,w)),x),w)** equal(f17(intersection(u,non_ordered_pair(v,w)),x),v)**. % 299.97/300.38 11302[3:Res:286.1,6192.1] || member(u,v) equal(first(u),w) -> subset(intersection(second(u),x),y) member(f17(intersection(second(u),x),y),apply(v,w))*. % 299.97/300.38 11289[0:Res:286.1,8.0] || -> subset(intersection(non_ordered_pair(u,v),w),x) equal(f17(intersection(non_ordered_pair(u,v),w),x),v)** equal(f17(intersection(non_ordered_pair(u,v),w),x),u)**. % 299.97/300.38 11634[3:Res:285.1,6192.1] || member(u,v) equal(first(u),w) -> disjoint(intersection(second(u),x),y) member(f23(intersection(second(u),x),y),apply(v,w))*. % 299.97/300.38 11621[0:Res:285.1,8.0] || -> disjoint(intersection(non_ordered_pair(u,v),w),x) equal(f23(intersection(non_ordered_pair(u,v),w),x),v)** equal(f23(intersection(non_ordered_pair(u,v),w),x),u)**. % 299.97/300.38 11728[3:Res:289.1,6192.1] || member(u,v) equal(first(u),w) -> disjoint(x,intersection(second(u),y)) member(f23(x,intersection(second(u),y)),apply(v,w))*. % 299.97/300.38 11715[0:Res:289.1,8.0] || -> disjoint(u,intersection(non_ordered_pair(v,w),x)) equal(f23(u,intersection(non_ordered_pair(v,w),x)),w)** equal(f23(u,intersection(non_ordered_pair(v,w),x)),v)**. % 299.97/300.38 11826[3:Res:277.1,6192.1] || member(u,v) equal(first(u),w) -> disjoint(intersection(x,second(u)),y) member(f23(intersection(x,second(u)),y),apply(v,w))*. % 299.97/300.38 11813[0:Res:277.1,8.0] || -> disjoint(intersection(u,non_ordered_pair(v,w)),x) equal(f23(intersection(u,non_ordered_pair(v,w)),x),w)** equal(f23(intersection(u,non_ordered_pair(v,w)),x),v)**. % 299.97/300.38 11987[3:Res:281.1,6192.1] || member(u,v) equal(first(u),w) -> disjoint(x,intersection(y,second(u))) member(f23(x,intersection(y,second(u))),apply(v,w))*. % 299.97/300.38 11974[0:Res:281.1,8.0] || -> disjoint(u,intersection(v,non_ordered_pair(w,x))) equal(f23(u,intersection(v,non_ordered_pair(w,x))),x)** equal(f23(u,intersection(v,non_ordered_pair(w,x))),w)**. % 299.97/300.38 12915[3:Res:956.2,6192.1] || subset(u,second(v))* member(v,w)* equal(first(v),x)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),apply(w,x))*. % 299.97/300.38 13030[3:Res:957.2,6192.1] || subset(u,second(v))* member(v,w)* equal(first(v),x)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),apply(w,x))*. % 299.97/300.38 13205[2:Res:1103.2,616.1] little_set(first(f27(ordered_pair(u,v),w))) || equal(first(f27(ordered_pair(u,v),w)),singleton_set(u))** member(ordered_pair(u,v),range_of(w)) -> . % 299.97/300.38 14350[0:SpL:95.1,1019.1] || member(u,image(v,w)) member(f22(u,v,w),converse(complement(x))) member(ordered_pair(u,first(f22(u,v,w))),x)* -> . % 299.97/300.38 14345[0:SpL:119.1,1019.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(complement(x))) member(ordered_pair(second(f28(u,v,w)),w),x)* -> . % 299.97/300.38 14431[0:SpR:20.1,372.0] || member(u,first(v)) -> equal(ordered_pair(singleton_set(f4(u,v)),non_ordered_pair(f4(u,v),f5(u,v))),non_ordered_pair(singleton_set(singleton_set(f4(u,v))),v))**. % 299.97/300.38 14430[0:SpR:25.1,372.0] || member(u,second(v)) -> equal(ordered_pair(singleton_set(f6(u,v)),non_ordered_pair(f6(u,v),f7(u,v))),non_ordered_pair(singleton_set(singleton_set(f6(u,v))),v))**. % 299.97/300.38 14488[0:MRR:14484.0,14484.2,85.1,83.1] little_set(u) single_valued_set(sigma(v)) || member(w,v) member(ordered_pair(f19(w),u),sigma(v))* -> single_valued_set(w) equal(u,f21(w)). % 299.97/300.38 14511[0:MRR:14507.0,14507.2,84.1,83.1] little_set(u) single_valued_set(sigma(v)) || member(w,v) member(ordered_pair(f19(w),u),sigma(v))* -> single_valued_set(w) equal(u,f20(w)). % 299.97/300.38 14864[0:Res:66.1,1020.0] || member(u,sigma(converse(intersection(v,w)))) -> member(ordered_pair(second(f16(u,converse(intersection(v,w)))),first(f16(u,converse(intersection(v,w))))),v)*. % 299.97/300.38 14970[0:Res:66.1,1021.0] || member(u,sigma(converse(intersection(v,w)))) -> member(ordered_pair(second(f16(u,converse(intersection(v,w)))),first(f16(u,converse(intersection(v,w))))),w)*. % 299.97/300.38 16019[0:SpR:51.1,1080.2] little_set(u) || member(v,rotate_right(w)) equal(u,non_ordered_pair(f9(v,w),ordered_pair(f10(v,w),f11(v,w))))* -> member(u,v)*. % 299.97/300.38 16018[0:SpR:57.1,1080.2] little_set(u) || member(v,flip_range_of(w)) equal(u,non_ordered_pair(f12(v,w),ordered_pair(f13(v,w),f14(v,w))))* -> member(u,v)*. % 299.97/300.38 16172[0:Res:493.1,314.0] || member(u,domain_of(intersection(intersection(complement(v),complement(w)),x))) member(f8(u,intersection(intersection(complement(v),complement(w)),x)),union(v,w))* -> . % 299.97/300.38 16403[0:Res:494.1,314.0] || member(u,domain_of(intersection(v,intersection(complement(w),complement(x))))) member(f8(u,intersection(v,intersection(complement(w),complement(x)))),union(w,x))* -> . % 299.97/300.38 17128[0:Res:455.1,314.0] || member(u,sigma(intersection(intersection(complement(v),complement(w)),x))) member(f16(u,intersection(intersection(complement(v),complement(w)),x)),union(v,w))* -> . % 299.97/300.38 17229[0:Res:456.1,314.0] || member(u,sigma(intersection(v,intersection(complement(w),complement(x))))) member(f16(u,intersection(v,intersection(complement(w),complement(x)))),union(w,x))* -> . % 299.97/300.38 17422[0:Res:426.1,314.0] || member(u,range_of(intersection(intersection(complement(v),complement(w)),x))) member(f27(u,intersection(intersection(complement(v),complement(w)),x)),union(v,w))* -> . % 299.97/300.38 17529[0:Res:427.1,314.0] || member(u,range_of(intersection(v,intersection(complement(w),complement(x))))) member(f27(u,intersection(v,intersection(complement(w),complement(x)))),union(w,x))* -> . % 299.97/300.38 17955[0:Res:957.2,1014.0] || subset(u,converse(cross_product(v,w)))* -> single_valued_set(u) member(first(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u))))),v)*. % 299.97/300.38 17954[0:Res:956.2,1014.0] || subset(u,converse(cross_product(v,w)))* -> single_valued_set(u) member(first(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u))))),v)*. % 299.97/300.38 18079[0:Res:957.2,1015.0] || subset(u,converse(cross_product(v,w)))* -> single_valued_set(u) member(second(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u))))),w)*. % 299.97/300.38 18078[0:Res:956.2,1015.0] || subset(u,converse(cross_product(v,w)))* -> single_valued_set(u) member(second(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u))))),w)*. % 299.97/300.38 18205[2:Rew:122.0,18191.1] ordered_pair_predicate(u) || member(v,apply_to_two_arguments(w,second(u),first(u))) -> member(u,converse(complement(second(f28(v,w,ordered_pair(second(u),first(u)))))))*. % 299.97/300.38 18310[0:MRR:18291.0,18291.2,85.1,83.1] little_set(u) single_valued_set(v) || member(ordered_pair(f19(intersection(w,v)),u),v)* -> single_valued_set(intersection(w,v)) equal(u,f21(intersection(w,v))). % 299.97/300.38 18447[0:MRR:18428.0,18428.2,84.1,83.1] little_set(u) single_valued_set(v) || member(ordered_pair(f19(intersection(w,v)),u),v)* -> single_valued_set(intersection(w,v)) equal(u,f20(intersection(w,v))). % 299.97/300.38 18529[0:MRR:18510.0,18510.2,85.1,83.1] little_set(u) single_valued_set(v) || member(ordered_pair(f19(intersection(v,w)),u),v)* -> single_valued_set(intersection(v,w)) equal(u,f21(intersection(v,w))). % 299.97/300.38 18671[0:MRR:18652.0,18652.2,84.1,83.1] little_set(u) single_valued_set(v) || member(ordered_pair(f19(intersection(v,w)),u),v)* -> single_valued_set(intersection(v,w)) equal(u,f20(intersection(v,w))). % 299.97/300.38 19272[3:MRR:19235.0,6173.1] || member(second(f16(u,v)),w)* member(first(f16(u,v)),x)* member(u,sigma(v)) -> member(u,sigma(cross_product(x,w)))*. % 299.97/300.38 20286[3:MRR:20241.0,6173.1] || member(second(f16(u,v)),w)* member(first(f16(u,v)),x)* member(u,sigma(v)) disjoint(cross_product(x,w),v)* -> . % 299.97/300.38 21137[0:Res:3651.2,1140.1] || member(f4(u,v),cross_product(w,universal_set))* member(f4(u,v),x)* member(u,first(v)) -> member(u,sigma(restrict(x,w)))*. % 299.97/300.38 21136[0:Res:3651.2,1139.1] || member(f7(u,v),cross_product(w,universal_set))* member(f7(u,v),x)* member(u,second(v)) -> member(u,sigma(restrict(x,w)))*. % 299.97/300.38 21134[0:Res:3651.2,1223.1] || member(f27(u,v),cross_product(w,universal_set))* member(f27(u,v),x)* member(u,range_of(v)) disjoint(restrict(x,w),v)* -> . % 299.97/300.38 21133[0:Res:3651.2,1138.1] || member(f16(u,v),cross_product(w,universal_set))* member(f16(u,v),x)* member(u,sigma(v)) -> member(u,sigma(restrict(x,w)))*. % 299.97/300.38 21132[0:Res:3651.2,1224.1] || member(f16(u,v),cross_product(w,universal_set))* member(f16(u,v),x)* member(u,sigma(v)) disjoint(restrict(x,w),v)* -> . % 299.97/300.38 21131[0:Res:3651.2,1225.1] || member(f8(u,v),cross_product(w,universal_set))* member(f8(u,v),x)* member(u,domain_of(v)) disjoint(restrict(x,w),v)* -> . % 299.97/300.38 21248[0:Res:957.2,1421.0] || subset(u,ordered_pair(v,w))* -> single_valued_set(u) equal(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w))* equal(ordered_pair(f19(u),f20(u)),singleton_set(v)). % 299.97/300.38 21247[0:Res:956.2,1421.0] || subset(u,ordered_pair(v,w))* -> single_valued_set(u) equal(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w))* equal(ordered_pair(f19(u),f21(u)),singleton_set(v)). % 299.97/300.38 21211[0:Res:395.0,1421.0] || -> subset(u,complement(ordered_pair(v,w))) equal(f17(u,complement(ordered_pair(v,w))),non_ordered_pair(v,w))** equal(f17(u,complement(ordered_pair(v,w))),singleton_set(v)). % 299.97/300.38 21201[0:Res:4258.0,1421.0] || -> equal(complement(ordered_pair(u,v)),universal_set) equal(f1(complement(ordered_pair(u,v)),universal_set),non_ordered_pair(u,v))** equal(f1(complement(ordered_pair(u,v)),universal_set),singleton_set(u)). % 299.97/300.38 21467[0:Res:540.1,547.0] || -> single_valued_set(cross_product(u,range_of(cross_product(v,w)))) member(second(ordered_pair(f19(cross_product(u,range_of(cross_product(v,w)))),f21(cross_product(u,range_of(cross_product(v,w)))))),w)*. % 299.97/300.38 21465[0:Res:540.1,560.0] || -> single_valued_set(cross_product(u,domain_of(cross_product(v,w)))) member(second(ordered_pair(f19(cross_product(u,domain_of(cross_product(v,w)))),f21(cross_product(u,domain_of(cross_product(v,w)))))),v)*. % 299.97/300.38 21452[0:Res:540.1,4238.0] || equal(u,second(ordered_pair(f19(cross_product(v,compose(w,x))),f21(cross_product(v,compose(w,x))))))* -> single_valued_set(cross_product(v,compose(w,x))) ordered_pair_predicate(u)*. % 299.97/300.38 21627[0:Res:541.1,547.0] || -> single_valued_set(cross_product(u,range_of(cross_product(v,w)))) member(second(ordered_pair(f19(cross_product(u,range_of(cross_product(v,w)))),f20(cross_product(u,range_of(cross_product(v,w)))))),w)*. % 299.97/300.38 21625[0:Res:541.1,560.0] || -> single_valued_set(cross_product(u,domain_of(cross_product(v,w)))) member(second(ordered_pair(f19(cross_product(u,domain_of(cross_product(v,w)))),f20(cross_product(u,domain_of(cross_product(v,w)))))),v)*. % 299.97/300.38 21612[0:Res:541.1,4238.0] || equal(u,second(ordered_pair(f19(cross_product(v,compose(w,x))),f20(cross_product(v,compose(w,x))))))* -> single_valued_set(cross_product(v,compose(w,x))) ordered_pair_predicate(u)*. % 299.97/300.38 21706[0:Res:553.1,547.0] || -> single_valued_set(cross_product(range_of(cross_product(u,v)),w)) member(first(ordered_pair(f19(cross_product(range_of(cross_product(u,v)),w)),f21(cross_product(range_of(cross_product(u,v)),w)))),v)*. % 299.97/300.38 21704[0:Res:553.1,560.0] || -> single_valued_set(cross_product(domain_of(cross_product(u,v)),w)) member(first(ordered_pair(f19(cross_product(domain_of(cross_product(u,v)),w)),f21(cross_product(domain_of(cross_product(u,v)),w)))),u)*. % 299.97/300.38 21691[0:Res:553.1,4238.0] || equal(u,first(ordered_pair(f19(cross_product(compose(v,w),x)),f21(cross_product(compose(v,w),x)))))* -> single_valued_set(cross_product(compose(v,w),x)) ordered_pair_predicate(u)*. % 299.97/300.38 21795[0:Res:554.1,547.0] || -> single_valued_set(cross_product(range_of(cross_product(u,v)),w)) member(first(ordered_pair(f19(cross_product(range_of(cross_product(u,v)),w)),f20(cross_product(range_of(cross_product(u,v)),w)))),v)*. % 299.97/300.38 21793[0:Res:554.1,560.0] || -> single_valued_set(cross_product(domain_of(cross_product(u,v)),w)) member(first(ordered_pair(f19(cross_product(domain_of(cross_product(u,v)),w)),f20(cross_product(domain_of(cross_product(u,v)),w)))),u)*. % 299.97/300.38 21780[0:Res:554.1,4238.0] || equal(u,first(ordered_pair(f19(cross_product(compose(v,w),x)),f20(cross_product(compose(v,w),x)))))* -> single_valued_set(cross_product(compose(v,w),x)) ordered_pair_predicate(u)*. % 299.97/300.38 21906[0:Res:46.1,1009.0] || member(u,converse(converse(v)))* subset(v,w)* -> member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),w)*. % 299.97/300.38 21901[0:Res:964.2,1009.0] || member(u,sigma(v)) subset(v,converse(w))* subset(w,x)* -> member(ordered_pair(second(f16(u,v)),first(f16(u,v))),x)*. % 299.97/300.38 21991[0:Res:3651.2,1136.2] little_set(u) || member(powerset(v),cross_product(w,universal_set))* member(powerset(v),x)* subset(u,v)* -> member(u,sigma(restrict(x,w)))*. % 299.97/300.38 21990[0:Res:384.1,1136.2] little_set(powerset(u)) little_set(v) || subset(v,u)* -> member(powerset(u),union(w,x))* member(v,sigma(intersection(complement(w),complement(x))))*. % 299.97/300.38 22348[0:Res:5009.3,1136.2] little_set(u) little_set(v) little_set(w) || member(powerset(x),v)* subset(w,x)* -> member(w,sigma(first(ordered_pair(v,u))))*. % 299.97/300.38 22330[0:Res:5009.3,425.1] little_set(u) little_set(v) || member(f27(w,complement(first(ordered_pair(v,u)))),v)* member(w,range_of(complement(first(ordered_pair(v,u))))) -> . % 299.97/300.38 22329[0:Res:5009.3,454.1] little_set(u) little_set(v) || member(f16(w,complement(first(ordered_pair(v,u)))),v)* member(w,sigma(complement(first(ordered_pair(v,u))))) -> . % 299.97/300.38 22328[0:Res:5009.3,492.1] little_set(u) little_set(v) || member(f8(w,complement(first(ordered_pair(v,u)))),v)* member(w,domain_of(complement(first(ordered_pair(v,u))))) -> . % 299.97/300.38 22507[0:Res:557.1,5018.1] ordered_pair_predicate(u) || member(v,range_of(cross_product(f2(u),w))) equal(x,u) -> member(first(f27(v,cross_product(f2(u),w))),first(x))*. % 299.97/300.38 22506[0:Res:558.1,5018.1] ordered_pair_predicate(u) || member(v,sigma(cross_product(f2(u),w))) equal(x,u) -> member(first(f16(v,cross_product(f2(u),w))),first(x))*. % 299.97/300.38 22474[0:Res:545.1,5018.1] ordered_pair_predicate(u) || member(v,sigma(cross_product(w,f2(u)))) equal(x,u) -> member(second(f16(v,cross_product(w,f2(u)))),first(x))*. % 299.97/300.38 22473[0:Res:546.1,5018.1] ordered_pair_predicate(u) || member(v,domain_of(cross_product(w,f2(u)))) equal(x,u) -> member(second(f8(v,cross_product(w,f2(u)))),first(x))*. % 299.97/300.38 22592[0:Res:5054.3,1136.2] little_set(u) little_set(v) little_set(w) || member(powerset(x),u)* subset(w,x)* -> member(w,sigma(second(ordered_pair(v,u))))*. % 299.97/300.38 22574[0:Res:5054.3,425.1] little_set(u) little_set(v) || member(f27(w,complement(second(ordered_pair(v,u)))),u)* member(w,range_of(complement(second(ordered_pair(v,u))))) -> . % 299.97/300.38 22573[0:Res:5054.3,454.1] little_set(u) little_set(v) || member(f16(w,complement(second(ordered_pair(v,u)))),u)* member(w,sigma(complement(second(ordered_pair(v,u))))) -> . % 299.97/300.38 22572[0:Res:5054.3,492.1] little_set(u) little_set(v) || member(f8(w,complement(second(ordered_pair(v,u)))),u)* member(w,domain_of(complement(second(ordered_pair(v,u))))) -> . % 299.97/300.38 22715[0:Res:557.1,5063.1] ordered_pair_predicate(u) || member(v,range_of(cross_product(f3(u),w))) equal(x,u) -> member(first(f27(v,cross_product(f3(u),w))),second(x))*. % 299.97/300.38 22714[0:Res:558.1,5063.1] ordered_pair_predicate(u) || member(v,sigma(cross_product(f3(u),w))) equal(x,u) -> member(first(f16(v,cross_product(f3(u),w))),second(x))*. % 299.97/300.38 22682[0:Res:545.1,5063.1] ordered_pair_predicate(u) || member(v,sigma(cross_product(w,f3(u)))) equal(x,u) -> member(second(f16(v,cross_product(w,f3(u)))),second(x))*. % 299.97/300.38 22681[0:Res:546.1,5063.1] ordered_pair_predicate(u) || member(v,domain_of(cross_product(w,f3(u)))) equal(x,u) -> member(second(f8(v,cross_product(w,f3(u)))),second(x))*. % 299.97/300.38 22821[0:Res:3821.1,547.0] || -> equal(range_of(cross_product(u,v)),powerset(w)) subset(f1(range_of(cross_product(u,v)),powerset(w)),w)* member(f1(range_of(cross_product(u,v)),powerset(w)),v)*. % 299.97/300.38 22819[0:Res:3821.1,560.0] || -> equal(domain_of(cross_product(u,v)),powerset(w)) subset(f1(domain_of(cross_product(u,v)),powerset(w)),w)* member(f1(domain_of(cross_product(u,v)),powerset(w)),u)*. % 299.97/300.38 22806[0:Res:3821.1,4238.0] || equal(u,f1(compose(v,w),powerset(x)))* -> equal(compose(v,w),powerset(x)) subset(f1(compose(v,w),powerset(x)),x)* ordered_pair_predicate(u)*. % 299.97/300.38 22916[0:Res:3839.1,547.0] || -> equal(powerset(u),range_of(cross_product(v,w))) subset(f1(powerset(u),range_of(cross_product(v,w))),u)* member(f1(powerset(u),range_of(cross_product(v,w))),w)*. % 299.97/300.38 22914[0:Res:3839.1,560.0] || -> equal(powerset(u),domain_of(cross_product(v,w))) subset(f1(powerset(u),domain_of(cross_product(v,w))),u)* member(f1(powerset(u),domain_of(cross_product(v,w))),v)*. % 299.97/300.38 22901[0:Res:3839.1,4238.0] || equal(u,f1(powerset(v),compose(w,x)))* -> equal(powerset(v),compose(w,x)) subset(f1(powerset(v),compose(w,x)),v)* ordered_pair_predicate(u)*. % 299.97/300.38 23031[0:Res:1339.2,5063.1] ordered_pair_predicate(u) || member(v,image(w,x)) subset(x,f3(u))* equal(y,u)* -> member(f22(v,w,x),second(y))*. % 299.97/300.38 23030[0:Res:1339.2,5018.1] ordered_pair_predicate(u) || member(v,image(w,x)) subset(x,f2(u))* equal(y,u)* -> member(f22(v,w,x),first(y))*. % 299.97/300.38 23123[0:Res:1274.2,5063.1] ordered_pair_predicate(u) || member(v,apply(w,x)) subset(w,f3(u))* equal(y,u)* -> member(f28(v,w,x),second(y))*. % 299.97/300.38 23122[0:Res:1274.2,5018.1] ordered_pair_predicate(u) || member(v,apply(w,x)) subset(w,f2(u))* equal(y,u)* -> member(f28(v,w,x),first(y))*. % 299.97/300.38 23214[0:Rew:95.1,23171.2] || member(u,image(v,intersection(converse(w),x))) subset(w,y) -> member(ordered_pair(u,first(f22(u,v,intersection(converse(w),x)))),y)*. % 299.97/300.38 23215[0:Rew:95.1,23174.1] || member(u,image(v,intersection(converse(intersection(w,x)),y))) -> member(ordered_pair(u,first(f22(u,v,intersection(converse(intersection(w,x)),y)))),w)*. % 299.97/300.38 23216[0:Rew:95.1,23173.1] || member(u,image(v,intersection(converse(intersection(w,x)),y))) -> member(ordered_pair(u,first(f22(u,v,intersection(converse(intersection(w,x)),y)))),x)*. % 299.97/300.38 23299[0:Rew:95.1,23256.2] || member(u,image(v,intersection(w,converse(x)))) subset(x,y) -> member(ordered_pair(u,first(f22(u,v,intersection(w,converse(x))))),y)*. % 299.97/300.38 23300[0:Rew:95.1,23259.1] || member(u,image(v,intersection(w,converse(intersection(x,y))))) -> member(ordered_pair(u,first(f22(u,v,intersection(w,converse(intersection(x,y)))))),x)*. % 299.97/300.38 23301[0:Rew:95.1,23258.1] || member(u,image(v,intersection(w,converse(intersection(x,y))))) -> member(ordered_pair(u,first(f22(u,v,intersection(w,converse(intersection(x,y)))))),y)*. % 299.97/300.38 23384[0:Rew:119.1,23341.2] || member(u,apply(intersection(converse(v),w),x)) subset(v,y) -> member(ordered_pair(second(f28(u,intersection(converse(v),w),x)),x),y)*. % 299.97/300.38 23385[0:Rew:119.1,23344.1] || member(u,apply(intersection(converse(intersection(v,w)),x),y)) -> member(ordered_pair(second(f28(u,intersection(converse(intersection(v,w)),x),y)),y),v)*. % 299.97/300.38 23386[0:Rew:119.1,23343.1] || member(u,apply(intersection(converse(intersection(v,w)),x),y)) -> member(ordered_pair(second(f28(u,intersection(converse(intersection(v,w)),x),y)),y),w)*. % 299.97/300.38 23485[0:Rew:119.1,23442.2] || member(u,apply(intersection(v,converse(w)),x)) subset(w,y) -> member(ordered_pair(second(f28(u,intersection(v,converse(w)),x)),x),y)*. % 299.97/300.38 23486[0:Rew:119.1,23445.1] || member(u,apply(intersection(v,converse(intersection(w,x))),y)) -> member(ordered_pair(second(f28(u,intersection(v,converse(intersection(w,x))),y)),y),w)*. % 299.97/300.38 23487[0:Rew:119.1,23444.1] || member(u,apply(intersection(v,converse(intersection(w,x))),y)) -> member(ordered_pair(second(f28(u,intersection(v,converse(intersection(w,x))),y)),y),x)*. % 299.97/300.38 23938[0:SpL:108.1,1227.1] || member(u,range_of(v)) member(f27(u,v),converse(w))* member(ordered_pair(u,first(f27(u,v))),x)* disjoint(x,w)* -> . % 299.97/300.38 23933[0:SpL:39.1,1227.1] || member(u,domain_of(v)) member(f8(u,v),converse(w))* member(ordered_pair(second(f8(u,v)),u),x)* disjoint(x,w)* -> . % 299.97/300.38 24301[0:Res:395.0,1163.0] || member(u,v) -> subset(w,complement(converse(u))) member(ordered_pair(second(f17(w,complement(converse(u)))),first(f17(w,complement(converse(u))))),sigma(v))*. % 299.97/300.38 24290[0:Res:4258.0,1163.0] || member(u,v) -> equal(complement(converse(u)),universal_set) member(ordered_pair(second(f1(complement(converse(u)),universal_set)),first(f1(complement(converse(u)),universal_set))),sigma(v))*. % 299.97/300.38 24371[0:Rew:119.1,24363.3] || member(u,apply(v,w)) subset(v,converse(x))* member(x,y)* -> member(ordered_pair(second(f28(u,v,w)),w),sigma(y))*. % 299.97/300.38 24372[0:Rew:95.1,24361.3] || member(u,image(v,w)) subset(w,converse(x))* member(x,y)* -> member(ordered_pair(u,first(f22(u,v,w))),sigma(y))*. % 299.97/300.38 24598[0:MRR:24595.0,92.1] || member(u,image(v,w)) equal(ordered_pair(u,first(f22(u,v,w))),x)* -> member(f22(u,v,w),converse(non_ordered_pair(y,x)))*. % 299.97/300.38 24599[0:MRR:24590.0,117.1] || member(u,apply(v,w)) equal(ordered_pair(second(f28(u,v,w)),w),x)* -> member(f28(u,v,w),converse(non_ordered_pair(y,x)))*. % 299.97/300.38 24652[0:MRR:24649.0,92.1] || member(u,image(v,w)) equal(ordered_pair(u,first(f22(u,v,w))),x)* -> member(f22(u,v,w),converse(non_ordered_pair(x,y)))*. % 299.97/300.38 24653[0:MRR:24644.0,117.1] || member(u,apply(v,w)) equal(ordered_pair(second(f28(u,v,w)),w),x)* -> member(f28(u,v,w),converse(non_ordered_pair(x,y)))*. % 299.97/300.38 24934[0:Res:33.2,1141.2] little_set(u) || member(non_ordered_pair(v,w),x)* member(non_ordered_pair(v,w),y)* equal(u,w)* -> member(u,sigma(intersection(y,x)))*. % 299.97/300.38 24933[0:Res:120.1,1141.2] little_set(u) || member(non_ordered_pair(v,w),apply(x,y)) equal(u,w) -> member(u,sigma(second(f28(non_ordered_pair(v,w),x,y))))*. % 299.97/300.38 24990[0:Res:33.2,1142.2] little_set(u) || member(non_ordered_pair(v,w),x)* member(non_ordered_pair(v,w),y)* equal(u,v)* -> member(u,sigma(intersection(y,x)))*. % 299.97/300.38 24989[0:Res:120.1,1142.2] little_set(u) || member(non_ordered_pair(v,w),apply(x,y)) equal(u,v) -> member(u,sigma(second(f28(non_ordered_pair(v,w),x,y))))*. % 299.97/300.38 25118[0:MRR:25097.0,5.0] || equal(f1(u,complement(ordered_pair(v,w))),non_ordered_pair(v,w)) -> equal(u,complement(ordered_pair(v,w))) member(f1(u,complement(ordered_pair(v,w))),u)*. % 299.97/300.38 25186[0:MRR:25163.0,5.0] || equal(f1(complement(ordered_pair(u,v)),w),non_ordered_pair(u,v)) -> equal(complement(ordered_pair(u,v)),w) member(f1(complement(ordered_pair(u,v)),w),w)*. % 299.97/300.38 25259[0:MRR:25240.0,5.0] || equal(f1(ordered_pair(u,v),complement(w)),non_ordered_pair(u,v)) -> member(f1(ordered_pair(u,v),complement(w)),w)* equal(ordered_pair(u,v),complement(w)). % 299.97/300.38 25395[3:Res:1544.2,6176.0] || member(u,image(v,w)) subset(v,converse(x))* -> ordered_pair_predicate(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))))*. % 299.97/300.38 25795[0:Res:1344.1,1354.0] || member(u,image(v,cross_product(image(w,cross_product(x,y)),z))) -> member(first(f22(u,v,cross_product(image(w,cross_product(x,y)),z))),y)*. % 299.97/300.38 25932[0:Res:1555.1,1354.0] || member(u,image(intersection(image(v,cross_product(w,x)),y),z)) -> member(first(f22(u,intersection(image(v,cross_product(w,x)),y),z)),x)*. % 299.97/300.38 26089[0:Res:1556.1,1354.0] || member(u,image(intersection(v,image(w,cross_product(x,y))),z)) -> member(first(f22(u,intersection(v,image(w,cross_product(x,y))),z)),y)*. % 299.97/300.38 26159[0:Res:1280.1,1354.0] || member(u,apply(cross_product(v,image(w,cross_product(x,y))),z)) -> member(second(f28(u,cross_product(v,image(w,cross_product(x,y))),z)),y)*. % 299.97/300.38 26691[0:Res:67.1,1562.1] || member(second(f28(u,v,w)),sigma(x)) member(u,apply(v,w)) -> member(u,sigma(f16(second(f28(u,v,w)),x)))*. % 299.97/300.38 26690[0:Res:21.1,1562.1] || member(second(f28(u,v,w)),first(x)) member(u,apply(v,w)) -> member(u,sigma(f4(second(f28(u,v,w)),x)))*. % 299.97/300.38 26689[0:Res:26.1,1562.1] || member(second(f28(u,v,w)),second(x)) member(u,apply(v,w)) -> member(u,sigma(f7(second(f28(u,v,w)),x)))*. % 299.97/300.38 26684[0:Res:35.2,1562.1] little_set(second(f28(u,v,w))) || member(u,apply(v,w)) -> member(second(f28(u,v,w)),x)* member(u,sigma(complement(x))). % 299.97/300.38 26853[0:Res:67.1,1542.1] || member(first(f22(u,v,w)),sigma(x)) member(u,image(v,w)) disjoint(f16(first(f22(u,v,w)),x),v)* -> . % 299.97/300.38 26852[0:Res:21.1,1542.1] || member(first(f22(u,v,w)),first(x)) member(u,image(v,w)) disjoint(f4(first(f22(u,v,w)),x),v)* -> . % 299.97/300.38 26851[0:Res:26.1,1542.1] || member(first(f22(u,v,w)),second(x)) member(u,image(v,w)) disjoint(f7(first(f22(u,v,w)),x),v)* -> . % 299.97/300.38 27052[0:Res:1549.1,4238.0] || member(u,image(cross_product(compose(v,w),x),y)) equal(z,first(first(f22(u,cross_product(compose(v,w),x),y))))* -> ordered_pair_predicate(z)*. % 299.97/300.38 27197[0:Res:1550.1,4238.0] || member(u,image(cross_product(v,compose(w,x)),y)) equal(z,second(first(f22(u,cross_product(v,compose(w,x)),y))))* -> ordered_pair_predicate(z)*. % 299.97/300.38 28016[0:Res:10.2,3653.2] little_set(intersection(u,v)) || equal(intersection(u,v),w)* member(x,v)* member(x,u)* -> member(x,sigma(non_ordered_pair(y,w)))*. % 299.97/300.38 28015[0:Res:9.2,3653.2] little_set(intersection(u,v)) || equal(intersection(u,v),w)* member(x,v)* member(x,u)* -> member(x,sigma(non_ordered_pair(w,y)))*. % 299.97/300.38 28528[0:Res:960.2,3811.0] || member(u,infinity) subset(infinity,v) -> equal(w,successor(u)) member(f1(w,successor(u)),w)* member(f1(w,successor(u)),sigma(v))*. % 299.97/300.38 28515[0:Res:107.1,3811.0] || member(u,range_of(v)) -> equal(w,f27(u,v)) member(f1(w,f27(u,v)),w)* member(f1(w,f27(u,v)),sigma(v))*. % 299.97/300.38 28513[0:Res:66.1,3811.0] || member(u,sigma(v)) -> equal(w,f16(u,v)) member(f1(w,f16(u,v)),w)* member(f1(w,f16(u,v)),sigma(v))*. % 299.97/300.38 28511[0:Res:38.1,3811.0] || member(u,domain_of(v)) -> equal(w,f8(u,v)) member(f1(w,f8(u,v)),w)* member(f1(w,f8(u,v)),sigma(v))*. % 299.97/300.38 28429[0:Res:1080.2,3811.0] little_set(u) || equal(u,non_ordered_pair(v,w)) -> equal(x,u) member(f1(x,u),x)* member(f1(x,u),sigma(ordered_pair(v,w)))*. % 299.97/300.38 28905[0:Res:960.2,3829.0] || member(u,infinity) subset(infinity,v) -> equal(successor(u),w) member(f1(successor(u),w),w)* member(f1(successor(u),w),sigma(v))*. % 299.97/300.38 28892[0:Res:107.1,3829.0] || member(u,range_of(v)) -> equal(f27(u,v),w) member(f1(f27(u,v),w),w)* member(f1(f27(u,v),w),sigma(v))*. % 299.97/300.38 28890[0:Res:66.1,3829.0] || member(u,sigma(v)) -> equal(f16(u,v),w) member(f1(f16(u,v),w),w)* member(f1(f16(u,v),w),sigma(v))*. % 299.97/300.38 28888[0:Res:38.1,3829.0] || member(u,domain_of(v)) -> equal(f8(u,v),w) member(f1(f8(u,v),w),w)* member(f1(f8(u,v),w),sigma(v))*. % 299.97/300.38 28806[0:Res:1080.2,3829.0] little_set(u) || equal(u,non_ordered_pair(v,w)) -> equal(u,x) member(f1(u,x),x)* member(f1(u,x),sigma(ordered_pair(v,w)))*. % 299.97/300.38 29827[0:Res:957.2,5019.1] || subset(u,f4(v,w))* member(v,first(w)) equal(x,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),first(x))*. % 299.97/300.38 29826[0:Res:956.2,5019.1] || subset(u,f4(v,w))* member(v,first(w)) equal(x,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),first(x))*. % 299.97/300.38 29758[0:Res:86.1,5019.1] || member(u,first(v)) equal(w,v) -> single_valued_set(f4(u,v)) member(ordered_pair(f19(f4(u,v)),f20(f4(u,v))),first(w))*. % 299.97/300.38 29757[0:Res:87.1,5019.1] || member(u,first(v)) equal(w,v) -> single_valued_set(f4(u,v)) member(ordered_pair(f19(f4(u,v)),f21(f4(u,v))),first(w))*. % 299.97/300.38 30240[0:Res:957.2,5020.1] || subset(u,f6(v,w))* member(v,second(w)) equal(x,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),first(x))*. % 299.97/300.38 30239[0:Res:956.2,5020.1] || subset(u,f6(v,w))* member(v,second(w)) equal(x,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),first(x))*. % 299.97/300.38 30171[0:Res:86.1,5020.1] || member(u,second(v)) equal(w,v) -> single_valued_set(f6(u,v)) member(ordered_pair(f19(f6(u,v)),f20(f6(u,v))),first(w))*. % 299.97/300.38 30170[0:Res:87.1,5020.1] || member(u,second(v)) equal(w,v) -> single_valued_set(f6(u,v)) member(ordered_pair(f19(f6(u,v)),f21(f6(u,v))),first(w))*. % 299.97/300.38 30351[0:Res:957.2,5022.1] || subset(u,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),first(x))*. % 299.97/300.38 30350[0:Res:956.2,5022.1] || subset(u,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),first(x))*. % 299.97/300.38 30282[0:Res:86.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(f9(u,v)) member(ordered_pair(f19(f9(u,v)),f20(f9(u,v))),first(w))*. % 299.97/300.38 30281[0:Res:87.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(f9(u,v)) member(ordered_pair(f19(f9(u,v)),f21(f9(u,v))),first(w))*. % 299.97/300.38 30494[0:Res:957.2,5024.1] || subset(u,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),first(x))*. % 299.97/300.38 30493[0:Res:956.2,5024.1] || subset(u,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),first(x))*. % 299.97/300.38 30425[0:Res:86.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(f12(u,v)) member(ordered_pair(f19(f12(u,v)),f20(f12(u,v))),first(w))*. % 299.97/300.38 30424[0:Res:87.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(f12(u,v)) member(ordered_pair(f19(f12(u,v)),f21(f12(u,v))),first(w))*. % 299.97/300.38 30647[0:Res:957.2,5064.1] || subset(u,f5(v,w))* member(v,first(w)) equal(x,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),second(x))*. % 299.97/300.38 30646[0:Res:956.2,5064.1] || subset(u,f5(v,w))* member(v,first(w)) equal(x,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),second(x))*. % 299.97/300.38 30578[0:Res:86.1,5064.1] || member(u,first(v)) equal(w,v) -> single_valued_set(f5(u,v)) member(ordered_pair(f19(f5(u,v)),f20(f5(u,v))),second(w))*. % 299.97/300.38 30577[0:Res:87.1,5064.1] || member(u,first(v)) equal(w,v) -> single_valued_set(f5(u,v)) member(ordered_pair(f19(f5(u,v)),f21(f5(u,v))),second(w))*. % 299.97/300.38 30804[0:Res:957.2,5065.1] || subset(u,f7(v,w))* member(v,second(w)) equal(x,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),second(x))*. % 299.97/300.38 30803[0:Res:956.2,5065.1] || subset(u,f7(v,w))* member(v,second(w)) equal(x,w)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),second(x))*. % 299.97/300.38 30735[0:Res:86.1,5065.1] || member(u,second(v)) equal(w,v) -> single_valued_set(f7(u,v)) member(ordered_pair(f19(f7(u,v)),f20(f7(u,v))),second(w))*. % 299.97/300.38 30734[0:Res:87.1,5065.1] || member(u,second(v)) equal(w,v) -> single_valued_set(f7(u,v)) member(ordered_pair(f19(f7(u,v)),f21(f7(u,v))),second(w))*. % 299.97/300.38 31434[0:Res:3824.2,282.0] || -> equal(u,intersection(restrict(v,w),x)) member(f1(u,intersection(restrict(v,w),x)),u)* member(f1(u,intersection(restrict(v,w),x)),v)*. % 299.97/300.38 31432[0:Res:3824.2,15955.0] || -> equal(u,intersection(sigma(powerset(v)),w)) member(f1(u,intersection(sigma(powerset(v)),w)),u)* member(f1(u,intersection(sigma(powerset(v)),w)),v)*. % 299.97/300.38 31428[0:Res:3824.2,32.0] || -> equal(u,intersection(intersection(v,w),x)) member(f1(u,intersection(intersection(v,w),x)),u)* member(f1(u,intersection(intersection(v,w),x)),w)*. % 299.97/300.38 31427[0:Res:3824.2,31.0] || -> equal(u,intersection(intersection(v,w),x)) member(f1(u,intersection(intersection(v,w),x)),u)* member(f1(u,intersection(intersection(v,w),x)),v)*. % 299.97/300.38 31420[0:Res:3824.2,10964.0] || -> equal(u,intersection(complement(complement(v)),w)) member(f1(u,intersection(complement(complement(v)),w)),u)* member(f1(u,intersection(complement(complement(v)),w)),v)*. % 299.97/300.38 31406[0:Res:3824.2,4578.0] || equal(u,f1(v,intersection(rotate_right(w),x)))* -> equal(v,intersection(rotate_right(w),x)) member(f1(v,intersection(rotate_right(w),x)),v)* ordered_pair_predicate(u)*. % 299.97/300.38 31404[0:Res:3824.2,4549.0] || equal(u,f1(v,intersection(flip_range_of(w),x)))* -> equal(v,intersection(flip_range_of(w),x)) member(f1(v,intersection(flip_range_of(w),x)),v)* ordered_pair_predicate(u)*. % 299.97/300.38 31376[0:Res:3824.1,282.0] || -> equal(restrict(u,v),intersection(w,x)) member(f1(restrict(u,v),intersection(w,x)),w)* member(f1(restrict(u,v),intersection(w,x)),u)*. % 299.97/300.38 31374[0:Res:3824.1,15955.0] || -> equal(sigma(powerset(u)),intersection(v,w)) member(f1(sigma(powerset(u)),intersection(v,w)),v)* member(f1(sigma(powerset(u)),intersection(v,w)),u)*. % 299.97/300.38 31370[0:Res:3824.1,32.0] || -> equal(intersection(u,v),intersection(w,x)) member(f1(intersection(u,v),intersection(w,x)),w)* member(f1(intersection(u,v),intersection(w,x)),v)*. % 299.97/300.38 31369[0:Res:3824.1,31.0] || -> equal(intersection(u,v),intersection(w,x)) member(f1(intersection(u,v),intersection(w,x)),w)* member(f1(intersection(u,v),intersection(w,x)),u)*. % 299.97/300.38 31362[0:Res:3824.1,10964.0] || -> equal(complement(complement(u)),intersection(v,w)) member(f1(complement(complement(u)),intersection(v,w)),v)* member(f1(complement(complement(u)),intersection(v,w)),u)*. % 299.97/300.38 31348[0:Res:3824.1,4578.0] || equal(u,f1(rotate_right(v),intersection(w,x)))* -> equal(rotate_right(v),intersection(w,x)) member(f1(rotate_right(v),intersection(w,x)),w)* ordered_pair_predicate(u)*. % 299.97/300.38 31346[0:Res:3824.1,4549.0] || equal(u,f1(flip_range_of(v),intersection(w,x)))* -> equal(flip_range_of(v),intersection(w,x)) member(f1(flip_range_of(v),intersection(w,x)),w)* ordered_pair_predicate(u)*. % 299.97/300.38 31644[0:Res:3825.2,282.0] || -> equal(u,intersection(v,restrict(w,x))) member(f1(u,intersection(v,restrict(w,x))),u)* member(f1(u,intersection(v,restrict(w,x))),w)*. % 299.97/300.38 31642[0:Res:3825.2,15955.0] || -> equal(u,intersection(v,sigma(powerset(w)))) member(f1(u,intersection(v,sigma(powerset(w)))),u)* member(f1(u,intersection(v,sigma(powerset(w)))),w)*. % 299.97/300.38 31638[0:Res:3825.2,32.0] || -> equal(u,intersection(v,intersection(w,x))) member(f1(u,intersection(v,intersection(w,x))),u)* member(f1(u,intersection(v,intersection(w,x))),x)*. % 299.97/300.38 31637[0:Res:3825.2,31.0] || -> equal(u,intersection(v,intersection(w,x))) member(f1(u,intersection(v,intersection(w,x))),u)* member(f1(u,intersection(v,intersection(w,x))),w)*. % 299.97/300.38 31630[0:Res:3825.2,10964.0] || -> equal(u,intersection(v,complement(complement(w)))) member(f1(u,intersection(v,complement(complement(w)))),u)* member(f1(u,intersection(v,complement(complement(w)))),w)*. % 299.97/300.38 31616[0:Res:3825.2,4578.0] || equal(u,f1(v,intersection(w,rotate_right(x))))* -> equal(v,intersection(w,rotate_right(x))) member(f1(v,intersection(w,rotate_right(x))),v)* ordered_pair_predicate(u)*. % 299.97/300.38 31614[0:Res:3825.2,4549.0] || equal(u,f1(v,intersection(w,flip_range_of(x))))* -> equal(v,intersection(w,flip_range_of(x))) member(f1(v,intersection(w,flip_range_of(x))),v)* ordered_pair_predicate(u)*. % 299.97/300.38 31586[0:Res:3825.1,282.0] || -> equal(restrict(u,v),intersection(w,x)) member(f1(restrict(u,v),intersection(w,x)),x)* member(f1(restrict(u,v),intersection(w,x)),u)*. % 299.97/300.38 31584[0:Res:3825.1,15955.0] || -> equal(sigma(powerset(u)),intersection(v,w)) member(f1(sigma(powerset(u)),intersection(v,w)),w)* member(f1(sigma(powerset(u)),intersection(v,w)),u)*. % 299.97/300.38 31580[0:Res:3825.1,32.0] || -> equal(intersection(u,v),intersection(w,x)) member(f1(intersection(u,v),intersection(w,x)),x)* member(f1(intersection(u,v),intersection(w,x)),v)*. % 299.97/300.38 31579[0:Res:3825.1,31.0] || -> equal(intersection(u,v),intersection(w,x)) member(f1(intersection(u,v),intersection(w,x)),x)* member(f1(intersection(u,v),intersection(w,x)),u)*. % 299.97/300.38 31572[0:Res:3825.1,10964.0] || -> equal(complement(complement(u)),intersection(v,w)) member(f1(complement(complement(u)),intersection(v,w)),w)* member(f1(complement(complement(u)),intersection(v,w)),u)*. % 299.97/300.38 31558[0:Res:3825.1,4578.0] || equal(u,f1(rotate_right(v),intersection(w,x)))* -> equal(rotate_right(v),intersection(w,x)) member(f1(rotate_right(v),intersection(w,x)),x)* ordered_pair_predicate(u)*. % 299.97/300.38 31556[0:Res:3825.1,4549.0] || equal(u,f1(flip_range_of(v),intersection(w,x)))* -> equal(flip_range_of(v),intersection(w,x)) member(f1(flip_range_of(v),intersection(w,x)),x)* ordered_pair_predicate(u)*. % 299.97/300.38 31827[0:Res:3842.2,282.0] || -> equal(intersection(restrict(u,v),w),x) member(f1(intersection(restrict(u,v),w),x),x)* member(f1(intersection(restrict(u,v),w),x),u)*. % 299.97/300.38 31825[0:Res:3842.2,15955.0] || -> equal(intersection(sigma(powerset(u)),v),w) member(f1(intersection(sigma(powerset(u)),v),w),w)* member(f1(intersection(sigma(powerset(u)),v),w),u)*. % 299.97/300.38 31821[0:Res:3842.2,32.0] || -> equal(intersection(intersection(u,v),w),x) member(f1(intersection(intersection(u,v),w),x),x)* member(f1(intersection(intersection(u,v),w),x),v)*. % 299.97/300.38 31820[0:Res:3842.2,31.0] || -> equal(intersection(intersection(u,v),w),x) member(f1(intersection(intersection(u,v),w),x),x)* member(f1(intersection(intersection(u,v),w),x),u)*. % 299.97/300.38 31813[0:Res:3842.2,10964.0] || -> equal(intersection(complement(complement(u)),v),w) member(f1(intersection(complement(complement(u)),v),w),w)* member(f1(intersection(complement(complement(u)),v),w),u)*. % 299.97/300.38 31799[0:Res:3842.2,4578.0] || equal(u,f1(intersection(rotate_right(v),w),x))* -> equal(intersection(rotate_right(v),w),x) member(f1(intersection(rotate_right(v),w),x),x)* ordered_pair_predicate(u)*. % 299.97/300.38 31797[0:Res:3842.2,4549.0] || equal(u,f1(intersection(flip_range_of(v),w),x))* -> equal(intersection(flip_range_of(v),w),x) member(f1(intersection(flip_range_of(v),w),x),x)* ordered_pair_predicate(u)*. % 299.97/300.38 31769[0:Res:3842.1,282.0] || -> equal(intersection(u,v),restrict(w,x)) member(f1(intersection(u,v),restrict(w,x)),u)* member(f1(intersection(u,v),restrict(w,x)),w)*. % 299.97/300.38 31767[0:Res:3842.1,15955.0] || -> equal(intersection(u,v),sigma(powerset(w))) member(f1(intersection(u,v),sigma(powerset(w))),u)* member(f1(intersection(u,v),sigma(powerset(w))),w)*. % 299.97/300.38 31755[0:Res:3842.1,10964.0] || -> equal(intersection(u,v),complement(complement(w))) member(f1(intersection(u,v),complement(complement(w))),u)* member(f1(intersection(u,v),complement(complement(w))),w)*. % 299.97/300.38 31741[0:Res:3842.1,4578.0] || equal(u,f1(intersection(v,w),rotate_right(x)))* -> equal(intersection(v,w),rotate_right(x)) member(f1(intersection(v,w),rotate_right(x)),v)* ordered_pair_predicate(u)*. % 299.97/300.38 31739[0:Res:3842.1,4549.0] || equal(u,f1(intersection(v,w),flip_range_of(x)))* -> equal(intersection(v,w),flip_range_of(x)) member(f1(intersection(v,w),flip_range_of(x)),v)* ordered_pair_predicate(u)*. % 299.97/300.38 32008[0:Res:3843.2,282.0] || -> equal(intersection(u,restrict(v,w)),x) member(f1(intersection(u,restrict(v,w)),x),x)* member(f1(intersection(u,restrict(v,w)),x),v)*. % 299.97/300.38 32006[0:Res:3843.2,15955.0] || -> equal(intersection(u,sigma(powerset(v))),w) member(f1(intersection(u,sigma(powerset(v))),w),w)* member(f1(intersection(u,sigma(powerset(v))),w),v)*. % 299.97/300.38 32002[0:Res:3843.2,32.0] || -> equal(intersection(u,intersection(v,w)),x) member(f1(intersection(u,intersection(v,w)),x),x)* member(f1(intersection(u,intersection(v,w)),x),w)*. % 299.97/300.38 32001[0:Res:3843.2,31.0] || -> equal(intersection(u,intersection(v,w)),x) member(f1(intersection(u,intersection(v,w)),x),x)* member(f1(intersection(u,intersection(v,w)),x),v)*. % 299.97/300.38 31994[0:Res:3843.2,10964.0] || -> equal(intersection(u,complement(complement(v))),w) member(f1(intersection(u,complement(complement(v))),w),w)* member(f1(intersection(u,complement(complement(v))),w),v)*. % 299.97/300.38 31980[0:Res:3843.2,4578.0] || equal(u,f1(intersection(v,rotate_right(w)),x))* -> equal(intersection(v,rotate_right(w)),x) member(f1(intersection(v,rotate_right(w)),x),x)* ordered_pair_predicate(u)*. % 299.97/300.38 31978[0:Res:3843.2,4549.0] || equal(u,f1(intersection(v,flip_range_of(w)),x))* -> equal(intersection(v,flip_range_of(w)),x) member(f1(intersection(v,flip_range_of(w)),x),x)* ordered_pair_predicate(u)*. % 299.97/300.38 31950[0:Res:3843.1,282.0] || -> equal(intersection(u,v),restrict(w,x)) member(f1(intersection(u,v),restrict(w,x)),v)* member(f1(intersection(u,v),restrict(w,x)),w)*. % 299.97/300.38 31948[0:Res:3843.1,15955.0] || -> equal(intersection(u,v),sigma(powerset(w))) member(f1(intersection(u,v),sigma(powerset(w))),v)* member(f1(intersection(u,v),sigma(powerset(w))),w)*. % 299.97/300.38 31936[0:Res:3843.1,10964.0] || -> equal(intersection(u,v),complement(complement(w))) member(f1(intersection(u,v),complement(complement(w))),v)* member(f1(intersection(u,v),complement(complement(w))),w)*. % 299.97/300.38 31922[0:Res:3843.1,4578.0] || equal(u,f1(intersection(v,w),rotate_right(x)))* -> equal(intersection(v,w),rotate_right(x)) member(f1(intersection(v,w),rotate_right(x)),w)* ordered_pair_predicate(u)*. % 299.97/300.38 31920[0:Res:3843.1,4549.0] || equal(u,f1(intersection(v,w),flip_range_of(x)))* -> equal(intersection(v,w),flip_range_of(x)) member(f1(intersection(v,w),flip_range_of(x)),w)* ordered_pair_predicate(u)*. % 299.97/300.38 32154[0:Res:1008.2,4238.0] || member(u,range_of(v)) member(f27(u,v),converse(compose(w,x)))* equal(y,ordered_pair(u,first(f27(u,v))))* -> ordered_pair_predicate(y)*. % 299.97/300.38 32143[0:Res:1008.2,68.0] || member(u,range_of(v)) member(f27(u,v),converse(w))* member(w,x)* -> member(ordered_pair(u,first(f27(u,v))),sigma(x))*. % 299.97/300.38 32325[0:Res:1007.2,4238.0] || member(u,domain_of(v)) member(f8(u,v),converse(compose(w,x)))* equal(y,ordered_pair(second(f8(u,v)),u))* -> ordered_pair_predicate(y)*. % 299.97/300.38 32314[0:Res:1007.2,68.0] || member(u,domain_of(v)) member(f8(u,v),converse(w))* member(w,x)* -> member(ordered_pair(second(f8(u,v)),u),sigma(x))*. % 299.97/300.38 32431[0:SSi:32413.0,371.0] || member(u,range_of(v)) -> member(ordered_pair(u,first(f27(u,v))),union(w,x))* member(f27(u,v),converse(intersection(complement(w),complement(x)))). % 299.97/300.38 32513[0:SSi:32495.0,371.0] || member(u,domain_of(v)) -> member(ordered_pair(second(f8(u,v)),u),union(w,x))* member(f8(u,v),converse(intersection(complement(w),complement(x)))). % 299.97/300.38 32791[0:Res:3836.2,68.0] || member(u,v) -> equal(cross_product(w,u),x) member(f1(cross_product(w,u),x),x)* member(second(f1(cross_product(w,u),x)),sigma(v))*. % 299.97/300.38 32790[0:Res:3836.2,98.0] || member(second(f1(cross_product(u,v),w)),x)* disjoint(x,v) -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)*. % 299.97/300.38 32735[0:Res:3836.1,68.0] || member(u,v) -> equal(cross_product(w,x),u) member(second(f1(cross_product(w,x),u)),x)* member(f1(cross_product(w,x),u),sigma(v))*. % 299.97/300.38 32734[0:Res:3836.1,98.0] || member(f1(cross_product(u,v),w),x)* disjoint(x,w) -> equal(cross_product(u,v),w) member(second(f1(cross_product(u,v),w)),v)*. % 299.97/300.38 32956[0:Res:3835.2,68.0] || member(u,v) -> equal(cross_product(u,w),x) member(f1(cross_product(u,w),x),x)* member(first(f1(cross_product(u,w),x)),sigma(v))*. % 299.97/300.38 32955[0:Res:3835.2,98.0] || member(first(f1(cross_product(u,v),w)),x)* disjoint(x,u) -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)*. % 299.97/300.38 32900[0:Res:3835.1,68.0] || member(u,v) -> equal(cross_product(w,x),u) member(first(f1(cross_product(w,x),u)),w)* member(f1(cross_product(w,x),u),sigma(v))*. % 299.97/300.38 32899[0:Res:3835.1,98.0] || member(f1(cross_product(u,v),w),x)* disjoint(x,w) -> equal(cross_product(u,v),w) member(first(f1(cross_product(u,v),w)),u)*. % 299.97/300.38 33127[0:Res:3818.2,68.0] || member(u,v) -> equal(w,cross_product(x,u)) member(f1(w,cross_product(x,u)),w)* member(second(f1(w,cross_product(x,u))),sigma(v))*. % 299.97/300.38 33126[0:Res:3818.2,98.0] || member(second(f1(u,cross_product(v,w))),x)* disjoint(x,w) -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)*. % 299.97/300.38 33071[0:Res:3818.1,68.0] || member(u,v) -> equal(u,cross_product(w,x)) member(second(f1(u,cross_product(w,x))),x)* member(f1(u,cross_product(w,x)),sigma(v))*. % 299.97/300.38 33070[0:Res:3818.1,98.0] || member(f1(u,cross_product(v,w)),x)* disjoint(x,u) -> equal(u,cross_product(v,w)) member(second(f1(u,cross_product(v,w))),w)*. % 299.97/300.38 33293[0:Res:3817.2,68.0] || member(u,v) -> equal(w,cross_product(u,x)) member(f1(w,cross_product(u,x)),w)* member(first(f1(w,cross_product(u,x))),sigma(v))*. % 299.97/300.38 33292[0:Res:3817.2,98.0] || member(first(f1(u,cross_product(v,w))),x)* disjoint(x,v) -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)*. % 299.97/300.38 33237[0:Res:3817.1,68.0] || member(u,v) -> equal(u,cross_product(w,x)) member(first(f1(u,cross_product(w,x))),w)* member(f1(u,cross_product(w,x)),sigma(v))*. % 299.97/300.38 33236[0:Res:3817.1,98.0] || member(f1(u,cross_product(v,w)),x)* disjoint(x,u) -> equal(u,cross_product(v,w)) member(first(f1(u,cross_product(v,w))),v)*. % 299.97/300.38 33553[7:Res:26333.1,1441.0] || subset(universal_set,converse(non_ordered_pair(u,v)))* -> equal(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)* equal(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u)*. % 299.97/300.38 33735[3:SSi:33704.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f2(x),u),w)* member(x,non_ordered_pair(v,w))* -> equal(u,f3(x)). % 299.97/300.38 33736[3:SSi:33703.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f2(x),u),v)* member(x,non_ordered_pair(v,w))* -> equal(u,f3(x)). % 299.97/300.38 33963[3:Res:6202.3,70.0] || member(u,v)* equal(first(u),w)* subset(apply(v,w),x)* -> disjoint(y,second(u)) member(f23(y,second(u)),x)*. % 299.97/300.38 34109[3:Res:6205.3,70.0] || member(u,v)* equal(first(u),w)* subset(apply(v,w),x)* -> disjoint(second(u),y) member(f23(second(u),y),x)*. % 299.97/300.38 34184[3:Res:6206.3,70.0] || member(u,v)* equal(first(u),w)* subset(apply(v,w),x)* -> subset(second(u),y) member(f17(second(u),y),x)*. % 299.97/300.38 35033[0:Res:100.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,f29(u,v,w)) member(f23(y,f29(u,v,w)),first(x))*. % 299.97/300.38 35004[0:Res:99.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(f29(u,v,w),y) member(f23(f29(u,v,w),y),first(x))*. % 299.97/300.38 35002[0:Res:71.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> subset(f29(u,v,w),y) member(f17(f29(u,v,w),y),first(x))*. % 299.97/300.38 35203[0:Res:100.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,f30(u,v,w)) member(f23(y,f30(u,v,w)),second(x))*. % 299.97/300.38 35174[0:Res:99.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(f30(u,v,w),y) member(f23(f30(u,v,w),y),second(x))*. % 299.97/300.38 35172[0:Res:71.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> subset(f30(u,v,w),y) member(f17(f30(u,v,w),y),second(x))*. % 299.97/300.38 35365[0:Res:4273.2,1354.0] || member(u,compose(v,w)) subset(w,image(x,cross_product(y,z)))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),z)*. % 299.97/300.38 35360[0:Res:4273.2,274.0] || member(u,compose(v,w)) subset(w,restrict(x,y))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),cross_product(y,universal_set))*. % 299.97/300.38 35328[0:Res:4273.2,4578.0] || member(u,compose(v,w)) subset(w,rotate_right(x))* equal(y,ordered_pair(f31(u,v,w),f30(u,v,w)))* -> ordered_pair_predicate(y)*. % 299.97/300.38 35326[0:Res:4273.2,4549.0] || member(u,compose(v,w)) subset(w,flip_range_of(x))* equal(y,ordered_pair(f31(u,v,w),f30(u,v,w)))* -> ordered_pair_predicate(y)*. % 299.97/300.38 35319[0:Res:4273.2,70.0] || member(u,compose(v,w)) subset(w,x)* subset(x,y)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),y)*. % 299.97/300.38 35485[0:Res:4348.2,1354.0] || member(u,compose(v,w)) subset(v,image(x,cross_product(y,z)))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),z)*. % 299.97/300.38 35480[0:Res:4348.2,274.0] || member(u,compose(v,w)) subset(v,restrict(x,y))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),cross_product(y,universal_set))*. % 299.97/300.38 35448[0:Res:4348.2,4578.0] || member(u,compose(v,w)) subset(v,rotate_right(x))* equal(y,ordered_pair(f29(u,v,w),f31(u,v,w)))* -> ordered_pair_predicate(y)*. % 299.97/300.38 35446[0:Res:4348.2,4549.0] || member(u,compose(v,w)) subset(v,flip_range_of(x))* equal(y,ordered_pair(f29(u,v,w),f31(u,v,w)))* -> ordered_pair_predicate(y)*. % 299.97/300.38 35439[0:Res:4348.2,70.0] || member(u,compose(v,w)) subset(v,x)* subset(x,y)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),y)*. % 299.97/300.38 36365[0:MRR:36346.0,487.1] little_set(u) || equal(f8(v,w),singleton_set(x))* member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(ordered_pair(x,y)))*. % 299.97/300.38 36526[0:MRR:36507.0,420.1] little_set(u) || equal(f27(v,w),singleton_set(x))* member(v,range_of(w))* equal(u,v)* -> member(u,range_of(ordered_pair(x,y)))*. % 299.97/300.38 36576[0:Res:4622.2,547.0] || member(u,flip_range_of(v)) subset(v,range_of(cross_product(w,x)))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)*. % 299.97/300.38 36573[0:Res:4622.2,560.0] || member(u,flip_range_of(v)) subset(v,domain_of(cross_product(w,x)))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.38 36552[0:Res:4622.2,43.0] || member(u,flip_range_of(v)) subset(v,cross_product(w,x))* -> member(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),x)*. % 299.97/300.38 36551[0:Res:4622.2,42.0] || member(u,flip_range_of(v)) subset(v,cross_product(w,x))* -> member(first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),w)*. % 299.97/300.38 37004[0:Res:4770.2,547.0] || member(u,rotate_right(v)) subset(v,range_of(cross_product(w,x)))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)*. % 299.97/300.38 37001[0:Res:4770.2,560.0] || member(u,rotate_right(v)) subset(v,domain_of(cross_product(w,x)))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.38 36980[0:Res:4770.2,43.0] || member(u,rotate_right(v)) subset(v,cross_product(w,x))* -> member(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),x)*. % 299.97/300.38 36979[0:Res:4770.2,42.0] || member(u,rotate_right(v)) subset(v,cross_product(w,x))* -> member(first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),w)*. % 299.97/300.38 38168[0:SSi:38153.0,371.0] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),singleton_set(x))* member(u,compose(v,w)) disjoint(ordered_pair(x,y),w)* -> . % 299.97/300.38 38287[0:SSi:38272.0,371.0] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),singleton_set(x))* member(u,compose(v,w)) disjoint(ordered_pair(x,y),v)* -> . % 299.97/300.38 38401[0:MRR:38382.0,1275.1] || equal(f28(u,v,w),singleton_set(x))* member(u,apply(v,w))* equal(w,y)* -> member(u,apply(ordered_pair(x,z),y))*. % 299.97/300.38 39236[0:SSi:39198.0,371.0,371.0] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)* member(u,flip_range_of(v)) disjoint(non_ordered_pair(x,w),v)* -> . % 299.97/300.38 39237[0:SSi:39197.0,371.0,371.0] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)* member(u,flip_range_of(v)) disjoint(non_ordered_pair(w,x),v)* -> . % 299.97/300.38 39756[0:SSi:39718.0,371.0,371.0] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)* member(u,rotate_right(v)) disjoint(non_ordered_pair(x,w),v)* -> . % 299.97/300.38 39757[0:SSi:39717.0,371.0,371.0] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)* member(u,rotate_right(v)) disjoint(non_ordered_pair(w,x),v)* -> . % 299.97/300.38 40192[7:Res:26830.1,5068.1] || disjoint(universal_set,complement(ordered_pair(f10(u,v),f11(u,v))))* member(u,rotate_right(v)) equal(w,u)* -> member(sigma(infinity),second(w))*. % 299.97/300.38 40191[7:Res:26831.1,5068.1] || disjoint(complement(ordered_pair(f10(u,v),f11(u,v))),universal_set)* member(u,rotate_right(v)) equal(w,u)* -> member(sigma(infinity),second(w))*. % 299.97/300.38 40190[7:Res:33376.1,5068.1] || member(universal_set,powerset(ordered_pair(f10(u,v),f11(u,v))))* member(u,rotate_right(v)) equal(w,u)* -> member(sigma(infinity),second(w))*. % 299.97/300.38 40372[7:Res:26830.1,5070.1] || disjoint(universal_set,complement(ordered_pair(f13(u,v),f14(u,v))))* member(u,flip_range_of(v)) equal(w,u)* -> member(sigma(infinity),second(w))*. % 299.97/300.38 40371[7:Res:26831.1,5070.1] || disjoint(complement(ordered_pair(f13(u,v),f14(u,v))),universal_set)* member(u,flip_range_of(v)) equal(w,u)* -> member(sigma(infinity),second(w))*. % 299.97/300.38 40370[7:Res:33376.1,5070.1] || member(universal_set,powerset(ordered_pair(f13(u,v),f14(u,v))))* member(u,flip_range_of(v)) equal(w,u)* -> member(sigma(infinity),second(w))*. % 299.97/300.38 40668[2:Res:25246.0,1421.0] || -> equal(complement(ordered_pair(u,v)),universal_set) equal(f1(universal_set,complement(ordered_pair(u,v))),non_ordered_pair(u,v))** equal(f1(universal_set,complement(ordered_pair(u,v))),singleton_set(u)). % 299.97/300.38 40638[2:Res:25246.0,1163.0] || member(u,v) -> equal(complement(converse(u)),universal_set) member(ordered_pair(second(f1(universal_set,complement(converse(u)))),first(f1(universal_set,complement(converse(u))))),sigma(v))*. % 299.97/300.38 40754[0:Res:1468.2,282.0] || member(u,image(v,w)) member(f22(u,v,w),converse(restrict(x,y)))* -> member(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.38 40752[0:Res:1468.2,15955.0] || member(u,image(v,w)) member(f22(u,v,w),converse(sigma(powerset(x)))) -> member(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.38 40748[0:Res:1468.2,32.0] || member(u,image(v,w)) member(f22(u,v,w),converse(intersection(x,y)))* -> member(ordered_pair(u,first(f22(u,v,w))),y)*. % 299.97/300.38 40747[0:Res:1468.2,31.0] || member(u,image(v,w)) member(f22(u,v,w),converse(intersection(x,y)))* -> member(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.38 40736[0:Res:1468.2,10964.0] || member(u,image(v,w)) member(f22(u,v,w),converse(complement(complement(x)))) -> member(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.38 40732[6:Res:1468.2,10857.1] || member(u,image(v,w)) member(f22(u,v,w),converse(infinity)) equal(successor(ordered_pair(u,first(f22(u,v,w)))),universal_set)** -> . % 299.97/300.38 40900[0:Res:1464.2,282.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(restrict(x,y)))* -> member(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.38 40898[0:Res:1464.2,15955.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(sigma(powerset(x)))) -> member(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.38 40894[0:Res:1464.2,32.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(intersection(x,y)))* -> member(ordered_pair(second(f28(u,v,w)),w),y)*. % 299.97/300.38 40893[0:Res:1464.2,31.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(intersection(x,y)))* -> member(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.38 40882[0:Res:1464.2,10964.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(complement(complement(x)))) -> member(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.38 40878[6:Res:1464.2,10857.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(infinity)) equal(successor(ordered_pair(second(f28(u,v,w)),w)),universal_set)** -> . % 299.97/300.38 41231[6:Res:4286.1,10857.1] || member(u,compose(v,intersection(w,infinity))) equal(successor(ordered_pair(f31(u,v,intersection(w,infinity)),f30(u,v,intersection(w,infinity)))),universal_set)** -> . % 299.97/300.38 41470[6:Res:4285.1,10857.1] || member(u,compose(v,intersection(infinity,w))) equal(successor(ordered_pair(f31(u,v,intersection(infinity,w)),f30(u,v,intersection(infinity,w)))),universal_set)** -> . % 299.97/300.38 41608[6:Res:4361.1,10857.1] || member(u,compose(intersection(v,infinity),w)) equal(successor(ordered_pair(f29(u,intersection(v,infinity),w),f31(u,intersection(v,infinity),w))),universal_set)** -> . % 299.97/300.38 41730[6:Res:4360.1,10857.1] || member(u,compose(intersection(infinity,v),w)) equal(successor(ordered_pair(f29(u,intersection(infinity,v),w),f31(u,intersection(infinity,v),w))),universal_set)** -> . % 299.97/300.38 42209[0:MRR:42181.0,1275.1] little_set(u) || equal(f28(v,w,x),y)* member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(singleton_set(y)))*. % 299.97/300.38 42210[0:MRR:42180.0,1275.1] little_set(u) || subset(f28(v,w,x),y)* member(v,apply(w,x)) equal(u,x)* -> member(u,domain_of(powerset(y)))*. % 299.97/300.38 42285[0:MRR:42257.0,1340.1] little_set(u) || equal(f22(v,w,x),y)* member(v,image(w,x))* equal(u,v)* -> member(u,range_of(singleton_set(y)))*. % 299.97/300.38 42286[0:MRR:42256.0,1340.1] little_set(u) || subset(f22(v,w,x),y)* member(v,image(w,x)) equal(u,v)* -> member(u,range_of(powerset(y)))*. % 299.97/300.38 43289[3:SSi:43270.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(ordered_pair(second(u),first(u)),w)* member(u,converse(intersection(v,complement(w))))*. % 299.97/300.38 43663[14:Res:42571.1,1438.0] || subset(universal_set,sigma(non_ordered_pair(u,v))) -> equal(f16(ordered_pair(universal_set,w),non_ordered_pair(u,v)),v)** equal(f16(ordered_pair(universal_set,w),non_ordered_pair(u,v)),u)**. % 299.97/300.38 43660[14:Res:42571.1,5070.1] || subset(universal_set,ordered_pair(f13(u,v),f14(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(ordered_pair(universal_set,x),second(w))*. % 299.97/300.38 43659[14:Res:42571.1,5068.1] || subset(universal_set,ordered_pair(f10(u,v),f11(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(ordered_pair(universal_set,x),second(w))*. % 299.97/300.38 43624[14:Res:42571.1,1437.0] || subset(universal_set,range_of(non_ordered_pair(u,v))) -> equal(f27(ordered_pair(universal_set,w),non_ordered_pair(u,v)),v)** equal(f27(ordered_pair(universal_set,w),non_ordered_pair(u,v)),u)**. % 299.97/300.38 43620[14:Res:42571.1,1439.0] || subset(universal_set,domain_of(non_ordered_pair(u,v))) -> equal(f8(ordered_pair(universal_set,w),non_ordered_pair(u,v)),v)** equal(f8(ordered_pair(universal_set,w),non_ordered_pair(u,v)),u)**. % 299.97/300.38 43983[6:SpL:1432.2,34934.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),f1(universal_set,u)) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)**. % 299.97/300.38 43981[6:SpL:1432.2,11587.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),f1(u,universal_set)) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)**. % 299.97/300.38 43969[6:SpL:1432.1,34934.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),f1(universal_set,v)) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u)**. % 299.97/300.38 43967[6:SpL:1432.1,11587.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),f1(v,universal_set)) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u)**. % 299.97/300.38 44004[0:Obv:43991.2] || member(u,v) disjoint(v,non_ordered_pair(u,w))* -> equal(ordered_pair(f19(non_ordered_pair(u,w)),f21(non_ordered_pair(u,w))),w)** single_valued_set(non_ordered_pair(u,w)). % 299.97/300.38 44005[0:Obv:43977.2] || member(u,v) disjoint(v,non_ordered_pair(w,u))* -> equal(ordered_pair(f19(non_ordered_pair(w,u)),f21(non_ordered_pair(w,u))),w)** single_valued_set(non_ordered_pair(w,u)). % 299.97/300.38 44006[0:Obv:43963.1] || member(non_ordered_pair(u,v),w)* -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)** single_valued_set(non_ordered_pair(u,v)) member(u,sigma(w)). % 299.97/300.38 44008[0:Obv:43939.1] || member(non_ordered_pair(u,v),w)* -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u)** single_valued_set(non_ordered_pair(u,v)) member(v,sigma(w)). % 299.97/300.38 44127[6:SpL:1433.2,34934.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),f1(universal_set,u)) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)**. % 299.97/300.38 44125[6:SpL:1433.2,11587.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),f1(u,universal_set)) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)**. % 299.97/300.38 44113[6:SpL:1433.1,34934.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),f1(universal_set,v)) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u)**. % 299.97/300.38 44111[6:SpL:1433.1,11587.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),f1(v,universal_set)) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u)**. % 299.97/300.38 44148[0:Obv:44135.2] || member(u,v) disjoint(v,non_ordered_pair(u,w))* -> equal(ordered_pair(f19(non_ordered_pair(u,w)),f20(non_ordered_pair(u,w))),w)** single_valued_set(non_ordered_pair(u,w)). % 299.97/300.38 44149[0:Obv:44121.2] || member(u,v) disjoint(v,non_ordered_pair(w,u))* -> equal(ordered_pair(f19(non_ordered_pair(w,u)),f20(non_ordered_pair(w,u))),w)** single_valued_set(non_ordered_pair(w,u)). % 299.97/300.38 44150[0:Obv:44107.1] || member(non_ordered_pair(u,v),w)* -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)** single_valued_set(non_ordered_pair(u,v)) member(u,sigma(w)). % 299.97/300.38 44152[0:Obv:44083.1] || member(non_ordered_pair(u,v),w)* -> equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u)** single_valued_set(non_ordered_pair(u,v)) member(v,sigma(w)). % 299.97/300.38 59676[16:Rew:375.0,55216.0] || member(singleton_set(singleton_set(a)),f1(u,powerset(cross_product(set_a,set_b))))* -> equal(u,powerset(cross_product(set_a,set_b))) member(f1(u,powerset(cross_product(set_a,set_b))),u)*. % 299.97/300.38 59677[16:Rew:375.0,55217.0] || member(singleton_set(singleton_set(a)),f1(powerset(cross_product(set_a,set_b)),u))* -> equal(powerset(cross_product(set_a,set_b)),u) member(f1(powerset(cross_product(set_a,set_b)),u),u)*. % 299.97/300.38 55684[16:Rew:54986.0,51529.0] || -> member(a,sigma(complement(u))) equal(v,ordered_pair(universal_set,w)) member(f1(v,ordered_pair(universal_set,w)),v)* member(f1(v,ordered_pair(universal_set,w)),sigma(u))*. % 299.97/300.38 55685[16:Rew:54986.0,51528.0] || -> member(a,sigma(complement(u))) equal(ordered_pair(universal_set,v),w) member(f1(ordered_pair(universal_set,v),w),w)* member(f1(ordered_pair(universal_set,v),w),sigma(u))*. % 299.97/300.38 55740[16:Rew:54986.0,49787.3] || member(u,v)* equal(first(u),w)* member(apply(v,w),x)* -> equal(second(u),a) member(f24(second(u)),sigma(x))*. % 299.97/300.38 55741[16:Rew:54986.0,49786.4] || member(u,v)* equal(first(u),w)* member(f24(second(u)),x)* disjoint(x,apply(v,w))* -> equal(second(u),a). % 299.97/300.38 55742[16:Rew:54986.0,49782.3] || member(u,v) equal(first(u),w) equal(second(u),infinity) -> equal(second(u),a) member(f26(second(u)),apply(v,w))*. % 299.97/300.38 55932[16:Rew:54986.0,48870.3] little_set(u) || subset(f25,second(f28(v,w,ordered_pair(u,f26(u)))))* member(v,apply_to_two_arguments(w,u,f26(u))) -> equal(u,a). % 299.97/300.38 55933[16:Rew:54986.0,48859.4] little_set(u) ordered_pair_predicate(v) || subset(f25,f2(v))* equal(w,v)* -> equal(u,a) member(ordered_pair(u,f26(u)),first(w))*. % 299.97/300.38 55934[16:Rew:54986.0,48857.4] little_set(u) ordered_pair_predicate(v) || subset(f25,f3(v))* equal(w,v)* -> equal(u,a) member(ordered_pair(u,f26(u)),second(w))*. % 299.97/300.38 55935[16:Rew:54986.0,48826.3] little_set(u) || subset(u,converse(v))* member(v,w)* -> equal(u,a) member(ordered_pair(second(f26(u)),first(f26(u))),sigma(w))*. % 299.97/300.38 55936[16:Rew:54986.0,48803.1] || member(u,v) -> equal(u,a) equal(w,f26(u)) member(f1(w,f26(u)),w)* member(f1(w,f26(u)),sigma(sigma(v)))*. % 299.97/300.38 55937[16:Rew:54986.0,48802.1] || member(u,v) -> equal(u,a) equal(w,f24(u)) member(f1(w,f24(u)),w)* member(f1(w,f24(u)),sigma(sigma(v)))*. % 299.97/300.38 55938[16:Rew:54986.0,48788.1] || member(u,v) -> equal(u,a) equal(f26(u),w) member(f1(f26(u),w),w)* member(f1(f26(u),w),sigma(sigma(v)))*. % 299.97/300.38 55939[16:Rew:54986.0,48787.1] || member(u,v) -> equal(u,a) equal(f24(u),w) member(f1(f24(u),w),w)* member(f1(f24(u),w),sigma(sigma(v)))*. % 299.97/300.38 55940[16:Rew:54986.0,48754.1] || member(u,non_ordered_pair(v,w)) -> equal(u,a) equal(f16(f26(u),non_ordered_pair(v,w)),w)** equal(f16(f26(u),non_ordered_pair(v,w)),v)**. % 299.97/300.38 55941[16:Rew:54986.0,48753.1] || member(u,non_ordered_pair(v,w)) -> equal(u,a) equal(f16(f24(u),non_ordered_pair(v,w)),w)** equal(f16(f24(u),non_ordered_pair(v,w)),v)**. % 299.97/300.38 55942[16:Rew:54986.0,48745.3] || subset(u,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> equal(u,a) member(f24(u),first(y))*. % 299.97/300.38 55943[16:Rew:54986.0,48742.3] || subset(u,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> equal(u,a) member(f24(u),second(y))*. % 299.97/300.38 55944[16:Rew:54986.0,48724.2] || member(u,image(v,w)) member(f22(u,v,w),converse(f25))* -> equal(u,a) equal(first(f22(u,v,w)),f26(u)). % 299.97/300.38 59678[16:Rew:54986.0,56505.2] || subset(universal_set,converse(non_ordered_pair(u,v)))* -> equal(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)* equal(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u)*. % 299.97/300.38 56607[16:Rew:54986.0,49607.3] || disjoint(universal_set,complement(ordered_pair(f10(u,v),f11(u,v))))* member(u,rotate_right(v)) equal(w,u)* -> member(singleton_set(a),second(w))*. % 299.97/300.38 56608[16:Rew:54986.0,49606.3] || disjoint(complement(ordered_pair(f10(u,v),f11(u,v))),universal_set)* member(u,rotate_right(v)) equal(w,u)* -> member(singleton_set(a),second(w))*. % 299.97/300.38 56609[16:Rew:54986.0,49605.3] || member(universal_set,powerset(ordered_pair(f10(u,v),f11(u,v))))* member(u,rotate_right(v)) equal(w,u)* -> member(singleton_set(a),second(w))*. % 299.97/300.38 56610[16:Rew:54986.0,49603.3] || disjoint(universal_set,complement(ordered_pair(f13(u,v),f14(u,v))))* member(u,flip_range_of(v)) equal(w,u)* -> member(singleton_set(a),second(w))*. % 299.97/300.38 56611[16:Rew:54986.0,49602.3] || disjoint(complement(ordered_pair(f13(u,v),f14(u,v))),universal_set)* member(u,flip_range_of(v)) equal(w,u)* -> member(singleton_set(a),second(w))*. % 299.97/300.38 56612[16:Rew:54986.0,49601.3] || member(universal_set,powerset(ordered_pair(f13(u,v),f14(u,v))))* member(u,flip_range_of(v)) equal(w,u)* -> member(singleton_set(a),second(w))*. % 299.97/300.38 59679[16:Rew:54986.0,56826.2] || subset(universal_set,converse(non_ordered_pair(u,v)))* -> equal(ordered_pair(second(powerset(a)),first(powerset(a))),v)* equal(ordered_pair(second(powerset(a)),first(powerset(a))),u)*. % 299.97/300.38 56950[16:Rew:54986.0,50528.3] || disjoint(universal_set,complement(ordered_pair(f10(u,v),f11(u,v))))* member(u,rotate_right(v)) equal(w,u)* -> member(powerset(a),second(w))*. % 299.97/300.38 56951[16:Rew:54986.0,50527.3] || disjoint(complement(ordered_pair(f10(u,v),f11(u,v))),universal_set)* member(u,rotate_right(v)) equal(w,u)* -> member(powerset(a),second(w))*. % 299.97/300.38 56952[16:Rew:54986.0,50526.3] || member(universal_set,powerset(ordered_pair(f10(u,v),f11(u,v))))* member(u,rotate_right(v)) equal(w,u)* -> member(powerset(a),second(w))*. % 299.97/300.38 56953[16:Rew:54986.0,50524.3] || disjoint(universal_set,complement(ordered_pair(f13(u,v),f14(u,v))))* member(u,flip_range_of(v)) equal(w,u)* -> member(powerset(a),second(w))*. % 299.97/300.38 56954[16:Rew:54986.0,50523.3] || disjoint(complement(ordered_pair(f13(u,v),f14(u,v))),universal_set)* member(u,flip_range_of(v)) equal(w,u)* -> member(powerset(a),second(w))*. % 299.97/300.38 56955[16:Rew:54986.0,50522.3] || member(universal_set,powerset(ordered_pair(f13(u,v),f14(u,v))))* member(u,flip_range_of(v)) equal(w,u)* -> member(powerset(a),second(w))*. % 299.97/300.38 58168[16:Rew:54986.0,51129.4] little_set(f2(u)) single_valued_set(v) || subset(f25,v)* member(u,v)* -> equal(f2(u),a) equal(f26(f2(u)),f3(u))**. % 299.97/300.38 58368[16:Rew:54986.0,50910.2] little_set(intersection(complement(u),complement(v))) || member(f26(intersection(complement(u),complement(v))),union(u,v))* -> equal(intersection(complement(u),complement(v)),a). % 299.97/300.38 59683[16:Rew:54986.0,58559.3] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),a) member(f1(a,f29(u,v,w)),first(x))*. % 299.97/300.38 59684[16:Rew:54986.0,58560.3] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),a) member(f1(f29(u,v,w),a),first(x))*. % 299.97/300.38 59685[16:Rew:54986.0,58563.3] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),a) member(f1(a,f30(u,v,w)),second(x))*. % 299.97/300.38 59686[16:Rew:54986.0,58564.3] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),a) member(f1(f30(u,v,w),a),second(x))*. % 299.97/300.38 58578[16:Rew:54986.0,50181.2] || member(u,v) equal(first(u),w) -> equal(cross_product(x,second(u)),a) member(second(f24(cross_product(x,second(u)))),apply(v,w))*. % 299.97/300.38 58579[16:Rew:54986.0,50182.0] || -> equal(cross_product(u,non_ordered_pair(v,w)),a) equal(second(f24(cross_product(u,non_ordered_pair(v,w)))),w)** equal(second(f24(cross_product(u,non_ordered_pair(v,w)))),v)**. % 299.97/300.38 58580[16:Rew:54986.0,50202.2] || member(u,v) equal(first(u),w) -> equal(cross_product(second(u),x),a) member(first(f24(cross_product(second(u),x))),apply(v,w))*. % 299.97/300.38 58581[16:Rew:54986.0,50203.0] || -> equal(cross_product(non_ordered_pair(u,v),w),a) equal(first(f24(cross_product(non_ordered_pair(u,v),w))),v)** equal(first(f24(cross_product(non_ordered_pair(u,v),w))),u)**. % 299.97/300.38 58583[16:Rew:54986.0,51110.1] || subset(u,v) -> equal(intersection(w,converse(u)),a) member(ordered_pair(second(f24(intersection(w,converse(u)))),first(f24(intersection(w,converse(u))))),v)*. % 299.97/300.38 58585[16:Rew:54986.0,51112.1] || subset(u,v) -> equal(intersection(converse(u),w),a) member(ordered_pair(second(f24(intersection(converse(u),w))),first(f24(intersection(converse(u),w)))),v)*. % 299.97/300.38 58586[16:Rew:54986.0,51267.2] || member(u,first(v)) equal(w,v) -> equal(intersection(x,f4(u,v)),a) member(f24(intersection(x,f4(u,v))),first(w))*. % 299.97/300.38 58587[16:Rew:54986.0,51268.2] || member(u,first(v)) equal(w,v) -> equal(intersection(f4(u,v),x),a) member(f24(intersection(f4(u,v),x)),first(w))*. % 299.97/300.38 58588[16:Rew:54986.0,51274.2] || member(u,second(v)) equal(w,v) -> equal(intersection(x,f6(u,v)),a) member(f24(intersection(x,f6(u,v))),first(w))*. % 299.97/300.38 58589[16:Rew:54986.0,51275.2] || member(u,second(v)) equal(w,v) -> equal(intersection(f6(u,v),x),a) member(f24(intersection(f6(u,v),x)),first(w))*. % 299.97/300.38 58590[16:Rew:54986.0,51278.2] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,f9(u,v)),a) member(f24(intersection(x,f9(u,v))),first(w))*. % 299.97/300.38 58591[16:Rew:54986.0,51279.2] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(f9(u,v),x),a) member(f24(intersection(f9(u,v),x)),first(w))*. % 299.97/300.38 58592[16:Rew:54986.0,51282.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,f12(u,v)),a) member(f24(intersection(x,f12(u,v))),first(w))*. % 299.97/300.38 58593[16:Rew:54986.0,51283.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(f12(u,v),x),a) member(f24(intersection(f12(u,v),x)),first(w))*. % 299.97/300.38 58594[16:Rew:54986.0,51290.2] || member(u,first(v)) equal(w,v) -> equal(intersection(x,f5(u,v)),a) member(f24(intersection(x,f5(u,v))),second(w))*. % 299.97/300.38 58595[16:Rew:54986.0,51291.2] || member(u,first(v)) equal(w,v) -> equal(intersection(f5(u,v),x),a) member(f24(intersection(f5(u,v),x)),second(w))*. % 299.97/300.38 58596[16:Rew:54986.0,51294.2] || member(u,second(v)) equal(w,v) -> equal(intersection(x,f7(u,v)),a) member(f24(intersection(x,f7(u,v))),second(w))*. % 299.97/300.38 58597[16:Rew:54986.0,51295.2] || member(u,second(v)) equal(w,v) -> equal(intersection(f7(u,v),x),a) member(f24(intersection(f7(u,v),x)),second(w))*. % 299.97/300.38 58598[16:Rew:54986.0,51318.2] little_set(u) single_valued_set(ordered_pair(universal_set,v)) || equal(ordered_pair(f2(w),u),a)** member(w,ordered_pair(universal_set,v))* -> equal(u,f3(w)). % 299.97/300.38 58599[16:Rew:54986.0,51424.3] little_set(u) || member(v,domain_of(w)) equal(u,v) -> equal(singleton_set(f8(v,w)),a) member(u,domain_of(singleton_set(f8(v,w))))*. % 299.97/300.38 58600[16:Rew:54986.0,51426.3] little_set(u) || member(v,range_of(w)) equal(u,v) -> equal(singleton_set(f27(v,w)),a) member(u,range_of(singleton_set(f27(v,w))))*. % 299.97/300.38 58602[16:Rew:54986.0,51439.0] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),a)** member(u,flip_range_of(v)) disjoint(ordered_pair(universal_set,w),v)* -> . % 299.97/300.38 58604[16:Rew:54986.0,51442.0] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),a)** member(u,rotate_right(v)) disjoint(ordered_pair(universal_set,w),v)* -> . % 299.97/300.38 58606[16:Rew:54986.0,51478.0] || equal(ordered_pair(u,first(f22(u,v,w))),a)** member(u,image(v,w)) -> member(f22(u,v,w),converse(ordered_pair(universal_set,x)))*. % 299.97/300.38 58608[16:Rew:54986.0,51483.0] || equal(ordered_pair(second(f28(u,v,w)),w),a)** member(u,apply(v,w)) -> member(f28(u,v,w),converse(ordered_pair(universal_set,x)))*. % 299.97/300.38 66356[0:Obv:66265.0] little_set(u) little_set(v) || member(singleton_set(singleton_set(u)),w) member(ordered_pair(v,u),x) -> member(ordered_pair(v,u),compose(x,w))*. % 299.97/300.38 66361[0:MRR:66332.0,66332.1,83.1,84.1] little_set(u) || member(v,w) member(ordered_pair(u,f19(v)),x) -> single_valued_set(v) member(ordered_pair(u,f20(v)),compose(x,sigma(w)))*. % 299.97/300.38 66362[0:MRR:66331.0,66331.1,83.1,85.1] little_set(u) || member(v,w) member(ordered_pair(u,f19(v)),x) -> single_valued_set(v) member(ordered_pair(u,f21(v)),compose(x,sigma(w)))*. % 299.97/300.38 70480[0:Obv:70470.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(u,image(w,y))*. % 299.97/300.38 70481[0:MRR:70452.0,1545.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(u,image(universal_set,y))*. % 299.97/300.38 83992[16:Res:4770.2,83606.1] || member(u,rotate_right(v)) subset(v,f24(powerset(w))) subset(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)* -> . % 299.97/300.38 83990[16:Res:4622.2,83606.1] || member(u,flip_range_of(v)) subset(v,f24(powerset(w))) subset(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)* -> . % 299.97/300.38 84182[2:Res:4770.2,25433.0] || member(u,rotate_right(v)) subset(v,image(w,x))* subset(w,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))* -> . % 299.97/300.38 84180[2:Res:4622.2,25433.0] || member(u,flip_range_of(v)) subset(v,image(w,x))* subset(w,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))* -> . % 299.97/300.38 87710[16:Res:82665.1,4973.2] little_set(u) || equal(f22(v,w,x),a) member(v,image(w,x))* equal(u,v)* -> member(u,range_of(sigma(infinity)))*. % 299.97/300.38 87709[16:Res:82665.1,4927.2] little_set(u) || equal(f28(v,w,x),a) member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(sigma(infinity)))*. % 299.97/300.38 87864[16:Res:82681.1,4973.2] little_set(u) || equal(f22(v,w,x),a) member(v,image(w,x))* equal(u,v)* -> member(u,range_of(successor(a)))*. % 299.97/300.38 87863[16:Res:82681.1,4927.2] little_set(u) || equal(f28(v,w,x),a) member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(successor(a)))*. % 299.97/300.38 87940[16:Rew:87905.1,82930.1] || equal(f1(u,intersection(v,set_a)),a) member(a,v) member(f1(u,intersection(v,set_a)),u)* -> equal(u,intersection(v,set_a)). % 299.97/300.38 87941[16:Rew:87905.1,82777.1] || equal(f1(u,intersection(v,set_b)),a) member(a,v) member(f1(u,intersection(v,set_b)),u)* -> equal(u,intersection(v,set_b)). % 299.97/300.38 87945[16:Rew:87905.1,83084.2] || equal(f1(u,intersection(v,infinity)),a) member(f1(u,intersection(v,infinity)),v)* member(a,u) -> equal(u,intersection(v,infinity)). % 299.97/300.38 88164[3:Res:82671.1,4972.2] little_set(u) || equal(f27(v,w),infinity) member(v,range_of(w)) equal(u,v) -> member(u,range_of(singleton_set(f27(v,w))))*. % 299.97/300.38 88163[3:Res:82671.1,4926.2] little_set(u) || equal(f8(v,w),infinity) member(v,domain_of(w)) equal(u,v) -> member(u,domain_of(singleton_set(f8(v,w))))*. % 299.97/300.38 88443[16:Res:57853.0,5065.1] || member(u,second(v)) equal(w,v) -> equal(complement(complement(f7(u,v))),a) member(f24(complement(complement(f7(u,v)))),second(w))*. % 299.97/300.38 88442[16:Res:57853.0,5064.1] || member(u,first(v)) equal(w,v) -> equal(complement(complement(f5(u,v))),a) member(f24(complement(complement(f5(u,v)))),second(w))*. % 299.97/300.38 88441[16:Res:57853.0,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(complement(complement(f12(u,v))),a) member(f24(complement(complement(f12(u,v)))),first(w))*. % 299.97/300.38 88440[16:Res:57853.0,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(complement(complement(f9(u,v))),a) member(f24(complement(complement(f9(u,v)))),first(w))*. % 299.97/300.38 88439[16:Res:57853.0,5020.1] || member(u,second(v)) equal(w,v) -> equal(complement(complement(f6(u,v))),a) member(f24(complement(complement(f6(u,v)))),first(w))*. % 299.97/300.38 88438[16:Res:57853.0,5019.1] || member(u,first(v)) equal(w,v) -> equal(complement(complement(f4(u,v))),a) member(f24(complement(complement(f4(u,v)))),first(w))*. % 299.97/300.38 88404[16:Res:57853.0,1009.0] || subset(u,v) -> equal(complement(complement(converse(u))),a) member(ordered_pair(second(f24(complement(complement(converse(u))))),first(f24(complement(complement(converse(u)))))),v)*. % 299.97/300.38 88929[16:Res:3651.2,57904.0] || member(complement(sigma(restrict(u,v))),cross_product(v,universal_set))* member(complement(sigma(restrict(u,v))),u)* -> equal(complement(sigma(restrict(u,v))),a). % 299.97/300.38 89302[0:Res:4348.2,14370.1] || member(u,compose(v,w)) subset(v,converse(complement(x))) member(ordered_pair(f29(u,v,w),f31(u,v,w)),converse(x))* -> . % 299.97/300.38 89300[0:Res:4273.2,14370.1] || member(u,compose(v,w)) subset(w,converse(complement(x))) member(ordered_pair(f31(u,v,w),f30(u,v,w)),converse(x))* -> . % 299.97/300.38 89258[0:Res:136.1,14370.1] || member(u,compose(v,converse(complement(w)))) member(ordered_pair(f31(u,v,converse(complement(w))),f30(u,v,converse(complement(w)))),converse(w))* -> . % 299.97/300.38 89248[0:Res:135.1,14370.1] || member(u,compose(converse(complement(v)),w)) member(ordered_pair(f29(u,converse(complement(v)),w),f31(u,converse(complement(v)),w)),converse(v))* -> . % 299.97/300.38 89537[0:Res:4348.2,43745.1] || member(u,compose(v,w)) subset(v,flip_range_of(complement(flip_range_of(x)))) member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)* -> . % 299.97/300.38 89535[0:Res:4273.2,43745.1] || member(u,compose(v,w)) subset(w,flip_range_of(complement(flip_range_of(x)))) member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)* -> . % 299.97/300.38 89521[0:Res:1549.1,43745.1] || member(u,image(cross_product(flip_range_of(complement(flip_range_of(v))),w),x)) member(first(first(f22(u,cross_product(flip_range_of(complement(flip_range_of(v))),w),x))),v)* -> . % 299.97/300.38 89503[0:Res:288.1,43745.1] || member(ordered_pair(f19(intersection(flip_range_of(complement(flip_range_of(u))),v)),f20(intersection(flip_range_of(complement(flip_range_of(u))),v))),u)* -> single_valued_set(intersection(flip_range_of(complement(flip_range_of(u))),v)). % 299.97/300.38 89502[0:Res:287.1,43745.1] || member(ordered_pair(f19(intersection(flip_range_of(complement(flip_range_of(u))),v)),f21(intersection(flip_range_of(complement(flip_range_of(u))),v))),u)* -> single_valued_set(intersection(flip_range_of(complement(flip_range_of(u))),v)). % 299.97/300.38 89491[0:Res:280.1,43745.1] || member(ordered_pair(f19(intersection(u,flip_range_of(complement(flip_range_of(v))))),f20(intersection(u,flip_range_of(complement(flip_range_of(v)))))),v)* -> single_valued_set(intersection(u,flip_range_of(complement(flip_range_of(v))))). % 299.97/300.38 89490[0:Res:279.1,43745.1] || member(ordered_pair(f19(intersection(u,flip_range_of(complement(flip_range_of(v))))),f21(intersection(u,flip_range_of(complement(flip_range_of(v)))))),v)* -> single_valued_set(intersection(u,flip_range_of(complement(flip_range_of(v))))). % 299.97/300.38 89458[0:Res:1550.1,43745.1] || member(u,image(cross_product(v,flip_range_of(complement(flip_range_of(w)))),x)) member(second(first(f22(u,cross_product(v,flip_range_of(complement(flip_range_of(w)))),x))),w)* -> . % 299.97/300.38 91487[16:Rew:90184.0,91111.3,90184.0,91111.2] || equal(f1(u,intersection(v,universal_set)),a) member(a,v) member(f1(u,intersection(v,universal_set)),u)* -> equal(u,intersection(v,universal_set)). % 299.97/300.38 92733[0:Res:4348.2,19261.0] || member(u,compose(v,w)) subset(v,sigma(intersection(x,y)))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),sigma(x))*. % 299.97/300.38 92731[0:Res:4273.2,19261.0] || member(u,compose(v,w)) subset(w,sigma(intersection(x,y)))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),sigma(x))*. % 299.97/300.38 92716[0:Res:4769.2,19261.0] || member(u,rotate_right(v)) member(v,intersection(w,x))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),sigma(w))*. % 299.97/300.38 92715[0:Res:4621.2,19261.0] || member(u,flip_range_of(v)) member(v,intersection(w,x))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),sigma(w))*. % 299.97/300.38 92696[0:Res:1549.1,19261.0] || member(u,image(cross_product(sigma(intersection(v,w)),x),y)) -> member(first(first(f22(u,cross_product(sigma(intersection(v,w)),x),y))),sigma(v))*. % 299.97/300.38 92678[0:Res:288.1,19261.0] || -> single_valued_set(intersection(sigma(intersection(u,v)),w)) member(ordered_pair(f19(intersection(sigma(intersection(u,v)),w)),f20(intersection(sigma(intersection(u,v)),w))),sigma(u))*. % 299.97/300.38 92677[0:Res:287.1,19261.0] || -> single_valued_set(intersection(sigma(intersection(u,v)),w)) member(ordered_pair(f19(intersection(sigma(intersection(u,v)),w)),f21(intersection(sigma(intersection(u,v)),w))),sigma(u))*. % 299.97/300.38 92667[0:Res:280.1,19261.0] || -> single_valued_set(intersection(u,sigma(intersection(v,w)))) member(ordered_pair(f19(intersection(u,sigma(intersection(v,w)))),f20(intersection(u,sigma(intersection(v,w))))),sigma(v))*. % 299.97/300.38 92666[0:Res:279.1,19261.0] || -> single_valued_set(intersection(u,sigma(intersection(v,w)))) member(ordered_pair(f19(intersection(u,sigma(intersection(v,w)))),f21(intersection(u,sigma(intersection(v,w))))),sigma(v))*. % 299.97/300.38 92634[0:Res:1550.1,19261.0] || member(u,image(cross_product(v,sigma(intersection(w,x))),y)) -> member(second(first(f22(u,cross_product(v,sigma(intersection(w,x))),y))),sigma(w))*. % 299.97/300.38 92935[0:Res:4348.2,19263.0] || member(u,compose(v,w)) subset(v,sigma(intersection(x,y)))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),sigma(y))*. % 299.97/300.38 92933[0:Res:4273.2,19263.0] || member(u,compose(v,w)) subset(w,sigma(intersection(x,y)))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),sigma(y))*. % 299.97/300.38 92918[0:Res:4769.2,19263.0] || member(u,rotate_right(v)) member(v,intersection(w,x))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),sigma(x))*. % 299.97/300.38 92917[0:Res:4621.2,19263.0] || member(u,flip_range_of(v)) member(v,intersection(w,x))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),sigma(x))*. % 299.97/300.38 92898[0:Res:1549.1,19263.0] || member(u,image(cross_product(sigma(intersection(v,w)),x),y)) -> member(first(first(f22(u,cross_product(sigma(intersection(v,w)),x),y))),sigma(w))*. % 299.97/300.38 92880[0:Res:288.1,19263.0] || -> single_valued_set(intersection(sigma(intersection(u,v)),w)) member(ordered_pair(f19(intersection(sigma(intersection(u,v)),w)),f20(intersection(sigma(intersection(u,v)),w))),sigma(v))*. % 299.97/300.38 92879[0:Res:287.1,19263.0] || -> single_valued_set(intersection(sigma(intersection(u,v)),w)) member(ordered_pair(f19(intersection(sigma(intersection(u,v)),w)),f21(intersection(sigma(intersection(u,v)),w))),sigma(v))*. % 299.97/300.38 92869[0:Res:280.1,19263.0] || -> single_valued_set(intersection(u,sigma(intersection(v,w)))) member(ordered_pair(f19(intersection(u,sigma(intersection(v,w)))),f20(intersection(u,sigma(intersection(v,w))))),sigma(w))*. % 299.97/300.38 92868[0:Res:279.1,19263.0] || -> single_valued_set(intersection(u,sigma(intersection(v,w)))) member(ordered_pair(f19(intersection(u,sigma(intersection(v,w)))),f21(intersection(u,sigma(intersection(v,w))))),sigma(w))*. % 299.97/300.38 92836[0:Res:1550.1,19263.0] || member(u,image(cross_product(v,sigma(intersection(w,x))),y)) -> member(second(first(f22(u,cross_product(v,sigma(intersection(w,x))),y))),sigma(x))*. % 299.97/300.38 93109[16:Res:92484.0,3812.0] || -> equal(u,f24(complement(complement(powerset(v))))) member(f1(u,f24(complement(complement(powerset(v))))),u)* member(f1(u,f24(complement(complement(powerset(v))))),v)*. % 299.97/300.38 93108[16:Res:92484.0,3830.0] || -> equal(f24(complement(complement(powerset(u)))),v) member(f1(f24(complement(complement(powerset(u)))),v),v)* member(f1(f24(complement(complement(powerset(u)))),v),u)*. % 299.97/300.38 94239[16:Res:57719.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(restrict(f7(u,v),x),a) member(f24(restrict(f7(u,v),x)),second(w))*. % 299.97/300.38 94238[16:Res:57719.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(restrict(f5(u,v),x),a) member(f24(restrict(f5(u,v),x)),second(w))*. % 299.97/300.38 94237[16:Res:57719.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(restrict(f12(u,v),x),a) member(f24(restrict(f12(u,v),x)),first(w))*. % 299.97/300.38 94236[16:Res:57719.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(restrict(f9(u,v),x),a) member(f24(restrict(f9(u,v),x)),first(w))*. % 299.97/300.38 94235[16:Res:57719.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(restrict(f6(u,v),x),a) member(f24(restrict(f6(u,v),x)),first(w))*. % 299.97/300.38 94234[16:Res:57719.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(restrict(f4(u,v),x),a) member(f24(restrict(f4(u,v),x)),first(w))*. % 299.97/300.38 94200[16:Res:57719.1,1009.0] || subset(u,v) -> equal(restrict(converse(u),w),a) member(ordered_pair(second(f24(restrict(converse(u),w))),first(f24(restrict(converse(u),w)))),v)*. % 299.97/300.38 94906[16:Res:91681.1,6212.0] || equal(complement(converse(second(u))),a)** member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(infinity),first(infinity)),apply(v,w))*. % 299.97/300.38 94905[16:Res:91681.1,1442.0] || equal(complement(apply(non_ordered_pair(u,v),w)),a) -> equal(f28(infinity,non_ordered_pair(u,v),w),v)** equal(f28(infinity,non_ordered_pair(u,v),w),u)**. % 299.97/300.38 94881[16:Res:91681.1,1443.0] || equal(complement(image(u,non_ordered_pair(v,w))),a) -> equal(f22(infinity,u,non_ordered_pair(v,w)),w)** equal(f22(infinity,u,non_ordered_pair(v,w)),v)**. % 299.97/300.38 95436[16:Res:92031.1,6212.0] || equal(complement(converse(second(u))),a)** member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(a),first(a)),apply(v,w))*. % 299.97/300.38 95435[16:Res:92031.1,1442.0] || equal(complement(apply(non_ordered_pair(u,v),w)),a) -> equal(f28(a,non_ordered_pair(u,v),w),v)** equal(f28(a,non_ordered_pair(u,v),w),u)**. % 299.97/300.38 95409[16:Res:92031.1,1443.0] || equal(complement(image(u,non_ordered_pair(v,w))),a) -> equal(f22(a,u,non_ordered_pair(v,w)),w)** equal(f22(a,u,non_ordered_pair(v,w)),v)**. % 299.97/300.38 97109[0:MRR:97108.0,92.1] little_set(u) || member(v,image(w,x)) equal(u,v) -> member(u,range_of(converse(powerset(ordered_pair(v,first(f22(v,w,x)))))))*. % 299.97/300.38 97111[0:MRR:97110.0,117.1] little_set(u) || member(v,apply(w,x)) equal(u,x) -> member(u,domain_of(converse(powerset(ordered_pair(second(f28(v,w,x)),x)))))*. % 299.97/300.38 97748[0:Res:1549.1,2899.0] || member(u,image(cross_product(domain_of(singleton_set(v)),w),x)) -> equal(f8(first(first(f22(u,cross_product(domain_of(singleton_set(v)),w),x))),singleton_set(v)),v)**. % 299.97/300.38 97738[0:Res:554.1,2899.0] || -> single_valued_set(cross_product(domain_of(singleton_set(u)),v)) equal(f8(first(ordered_pair(f19(cross_product(domain_of(singleton_set(u)),v)),f20(cross_product(domain_of(singleton_set(u)),v)))),singleton_set(u)),u)**. % 299.97/300.38 97737[0:Res:553.1,2899.0] || -> single_valued_set(cross_product(domain_of(singleton_set(u)),v)) equal(f8(first(ordered_pair(f19(cross_product(domain_of(singleton_set(u)),v)),f21(cross_product(domain_of(singleton_set(u)),v)))),singleton_set(u)),u)**. % 299.97/300.38 97723[0:Res:1007.2,2899.0] || member(u,domain_of(v)) member(f8(u,v),converse(domain_of(singleton_set(w)))) -> equal(f8(ordered_pair(second(f8(u,v)),u),singleton_set(w)),w)**. % 299.97/300.38 97722[0:Res:1008.2,2899.0] || member(u,range_of(v)) member(f27(u,v),converse(domain_of(singleton_set(w)))) -> equal(f8(ordered_pair(u,first(f27(u,v))),singleton_set(w)),w)**. % 299.97/300.38 97686[0:Res:1550.1,2899.0] || member(u,image(cross_product(v,domain_of(singleton_set(w))),x)) -> equal(f8(second(first(f22(u,cross_product(v,domain_of(singleton_set(w))),x))),singleton_set(w)),w)**. % 299.97/300.38 97672[0:Res:541.1,2899.0] || -> single_valued_set(cross_product(u,domain_of(singleton_set(v)))) equal(f8(second(ordered_pair(f19(cross_product(u,domain_of(singleton_set(v)))),f20(cross_product(u,domain_of(singleton_set(v)))))),singleton_set(v)),v)**. % 299.97/300.38 97671[0:Res:540.1,2899.0] || -> single_valued_set(cross_product(u,domain_of(singleton_set(v)))) equal(f8(second(ordered_pair(f19(cross_product(u,domain_of(singleton_set(v)))),f21(cross_product(u,domain_of(singleton_set(v)))))),singleton_set(v)),v)**. % 299.97/300.38 97666[0:Res:3839.1,2899.0] || -> equal(powerset(u),domain_of(singleton_set(v))) subset(f1(powerset(u),domain_of(singleton_set(v))),u)* equal(f8(f1(powerset(u),domain_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.38 97620[0:Res:3821.1,2899.0] || -> equal(domain_of(singleton_set(u)),powerset(v)) subset(f1(domain_of(singleton_set(u)),powerset(v)),v)* equal(f8(f1(domain_of(singleton_set(u)),powerset(v)),singleton_set(u)),u)**. % 299.97/300.38 97986[0:Res:4347.2,2938.0] || member(u,compose(v,w)) member(v,singleton_set(x)) -> equal(f16(ordered_pair(f29(u,v,w),f31(u,v,w)),singleton_set(x)),x)**. % 299.97/300.38 97985[0:Res:4272.2,2938.0] || member(u,compose(v,w)) member(w,singleton_set(x)) -> equal(f16(ordered_pair(f31(u,v,w),f30(u,v,w)),singleton_set(x)),x)**. % 299.97/300.38 97961[0:Res:1549.1,2938.0] || member(u,image(cross_product(sigma(singleton_set(v)),w),x)) -> equal(f16(first(first(f22(u,cross_product(sigma(singleton_set(v)),w),x))),singleton_set(v)),v)**. % 299.97/300.38 97951[0:Res:554.1,2938.0] || -> single_valued_set(cross_product(sigma(singleton_set(u)),v)) equal(f16(first(ordered_pair(f19(cross_product(sigma(singleton_set(u)),v)),f20(cross_product(sigma(singleton_set(u)),v)))),singleton_set(u)),u)**. % 299.97/300.38 97950[0:Res:553.1,2938.0] || -> single_valued_set(cross_product(sigma(singleton_set(u)),v)) equal(f16(first(ordered_pair(f19(cross_product(sigma(singleton_set(u)),v)),f21(cross_product(sigma(singleton_set(u)),v)))),singleton_set(u)),u)**. % 299.97/300.38 97936[0:Res:1007.2,2938.0] || member(u,domain_of(v)) member(f8(u,v),converse(sigma(singleton_set(w)))) -> equal(f16(ordered_pair(second(f8(u,v)),u),singleton_set(w)),w)**. % 299.97/300.38 97935[0:Res:1008.2,2938.0] || member(u,range_of(v)) member(f27(u,v),converse(sigma(singleton_set(w)))) -> equal(f16(ordered_pair(u,first(f27(u,v))),singleton_set(w)),w)**. % 299.97/300.38 97899[0:Res:1550.1,2938.0] || member(u,image(cross_product(v,sigma(singleton_set(w))),x)) -> equal(f16(second(first(f22(u,cross_product(v,sigma(singleton_set(w))),x))),singleton_set(w)),w)**. % 299.97/300.38 97885[0:Res:541.1,2938.0] || -> single_valued_set(cross_product(u,sigma(singleton_set(v)))) equal(f16(second(ordered_pair(f19(cross_product(u,sigma(singleton_set(v)))),f20(cross_product(u,sigma(singleton_set(v)))))),singleton_set(v)),v)**. % 299.97/300.38 97884[0:Res:540.1,2938.0] || -> single_valued_set(cross_product(u,sigma(singleton_set(v)))) equal(f16(second(ordered_pair(f19(cross_product(u,sigma(singleton_set(v)))),f21(cross_product(u,sigma(singleton_set(v)))))),singleton_set(v)),v)**. % 299.97/300.38 97879[0:Res:3839.1,2938.0] || -> equal(powerset(u),sigma(singleton_set(v))) subset(f1(powerset(u),sigma(singleton_set(v))),u)* equal(f16(f1(powerset(u),sigma(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.38 97833[0:Res:3821.1,2938.0] || -> equal(sigma(singleton_set(u)),powerset(v)) subset(f1(sigma(singleton_set(u)),powerset(v)),v)* equal(f16(f1(sigma(singleton_set(u)),powerset(v)),singleton_set(u)),u)**. % 299.97/300.38 98204[0:Res:1549.1,2959.0] || member(u,image(cross_product(range_of(singleton_set(v)),w),x)) -> equal(f27(first(first(f22(u,cross_product(range_of(singleton_set(v)),w),x))),singleton_set(v)),v)**. % 299.97/300.38 98194[0:Res:554.1,2959.0] || -> single_valued_set(cross_product(range_of(singleton_set(u)),v)) equal(f27(first(ordered_pair(f19(cross_product(range_of(singleton_set(u)),v)),f20(cross_product(range_of(singleton_set(u)),v)))),singleton_set(u)),u)**. % 299.97/300.38 98193[0:Res:553.1,2959.0] || -> single_valued_set(cross_product(range_of(singleton_set(u)),v)) equal(f27(first(ordered_pair(f19(cross_product(range_of(singleton_set(u)),v)),f21(cross_product(range_of(singleton_set(u)),v)))),singleton_set(u)),u)**. % 299.97/300.38 98179[0:Res:1007.2,2959.0] || member(u,domain_of(v)) member(f8(u,v),converse(range_of(singleton_set(w)))) -> equal(f27(ordered_pair(second(f8(u,v)),u),singleton_set(w)),w)**. % 299.97/300.38 98178[0:Res:1008.2,2959.0] || member(u,range_of(v)) member(f27(u,v),converse(range_of(singleton_set(w)))) -> equal(f27(ordered_pair(u,first(f27(u,v))),singleton_set(w)),w)**. % 299.97/300.38 98142[0:Res:1550.1,2959.0] || member(u,image(cross_product(v,range_of(singleton_set(w))),x)) -> equal(f27(second(first(f22(u,cross_product(v,range_of(singleton_set(w))),x))),singleton_set(w)),w)**. % 299.97/300.38 98128[0:Res:541.1,2959.0] || -> single_valued_set(cross_product(u,range_of(singleton_set(v)))) equal(f27(second(ordered_pair(f19(cross_product(u,range_of(singleton_set(v)))),f20(cross_product(u,range_of(singleton_set(v)))))),singleton_set(v)),v)**. % 299.97/300.38 98127[0:Res:540.1,2959.0] || -> single_valued_set(cross_product(u,range_of(singleton_set(v)))) equal(f27(second(ordered_pair(f19(cross_product(u,range_of(singleton_set(v)))),f21(cross_product(u,range_of(singleton_set(v)))))),singleton_set(v)),v)**. % 299.97/300.38 98122[0:Res:3839.1,2959.0] || -> equal(powerset(u),range_of(singleton_set(v))) subset(f1(powerset(u),range_of(singleton_set(v))),u)* equal(f27(f1(powerset(u),range_of(singleton_set(v))),singleton_set(v)),v)**. % 299.97/300.38 98076[0:Res:3821.1,2959.0] || -> equal(range_of(singleton_set(u)),powerset(v)) subset(f1(range_of(singleton_set(u)),powerset(v)),v)* equal(f27(f1(range_of(singleton_set(u)),powerset(v)),singleton_set(u)),u)**. % 299.97/300.38 98429[3:Res:8090.0,6192.1] || member(u,v) equal(first(u),w) -> subset(complement(complement(second(u))),x) member(f17(complement(complement(second(u))),x),apply(v,w))*. % 299.97/300.38 98390[0:Res:8090.0,8.0] || -> subset(complement(complement(non_ordered_pair(u,v))),w) equal(f17(complement(complement(non_ordered_pair(u,v))),w),v)** equal(f17(complement(complement(non_ordered_pair(u,v))),w),u)**. % 299.97/300.38 98545[3:Res:9082.0,6192.1] || member(u,v) equal(first(u),w) -> disjoint(x,complement(complement(second(u)))) member(f23(x,complement(complement(second(u)))),apply(v,w))*. % 299.97/300.38 98506[0:Res:9082.0,8.0] || -> disjoint(u,complement(complement(non_ordered_pair(v,w)))) equal(f23(u,complement(complement(non_ordered_pair(v,w)))),w)** equal(f23(u,complement(complement(non_ordered_pair(v,w)))),v)**. % 299.97/300.38 98735[3:Res:9151.0,6192.1] || member(u,v) equal(first(u),w) -> disjoint(complement(complement(second(u))),x) member(f23(complement(complement(second(u))),x),apply(v,w))*. % 299.97/300.38 98696[0:Res:9151.0,8.0] || -> disjoint(complement(complement(non_ordered_pair(u,v))),w) equal(f23(complement(complement(non_ordered_pair(u,v))),w),v)** equal(f23(complement(complement(non_ordered_pair(u,v))),w),u)**. % 299.97/300.38 99389[0:Res:18201.1,3653.2] ordered_pair_predicate(intersection(u,v)) || member(w,v)* member(w,u)* -> member(intersection(u,v),converse(x))* member(w,sigma(converse(complement(x))))*. % 299.97/300.38 99485[3:SSi:99357.0,5742.0,371.1] little_set(u) single_valued_set(converse(complement(v))) || member(w,converse(complement(v))) -> member(ordered_pair(f2(w),u),converse(v))* equal(u,f3(w)). % 299.97/300.38 99493[3:SSi:99395.0,5742.0,371.1] || member(u,apply(v,w)) -> member(ordered_pair(second(f28(u,v,w)),w),converse(x))* member(f28(u,v,w),converse(converse(complement(x)))). % 299.97/300.38 99494[3:SSi:99392.0,5742.0,371.1] || member(u,image(v,w)) -> member(ordered_pair(u,first(f22(u,v,w))),converse(x))* member(f22(u,v,w),converse(converse(complement(x)))). % 299.97/300.38 99504[3:SSi:99372.0,5742.0,371.0,371.1] || member(u,rotate_right(v)) disjoint(converse(complement(w)),v) -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),converse(w))*. % 299.97/300.38 99505[3:SSi:99371.0,5742.0,371.0,371.1] || member(u,flip_range_of(v)) disjoint(converse(complement(w)),v) -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),converse(w))*. % 299.97/300.38 99682[0:Res:22366.2,4120.1] ordered_pair_predicate(u) || member(ordered_pair(second(f8(v,w)),v),f2(u))* member(v,domain_of(w)) -> member(f8(v,w),converse(first(u))). % 299.97/300.38 99681[0:Res:22366.2,4119.1] ordered_pair_predicate(u) || member(ordered_pair(v,first(f27(v,w))),f2(u))* member(v,range_of(w)) -> member(f27(v,w),converse(first(u))). % 299.97/300.38 99876[0:Res:22612.2,4120.1] ordered_pair_predicate(u) || member(ordered_pair(second(f8(v,w)),v),f3(u))* member(v,domain_of(w)) -> member(f8(v,w),converse(second(u))). % 299.97/300.38 99875[0:Res:22612.2,4119.1] ordered_pair_predicate(u) || member(ordered_pair(v,first(f27(v,w))),f3(u))* member(v,range_of(w)) -> member(f27(v,w),converse(second(u))). % 299.97/300.38 100435[16:Res:1278.1,56166.0] || member(u,apply(powerset(singleton_set(v)),w)) -> equal(f28(u,powerset(singleton_set(v)),w),a) equal(f24(f28(u,powerset(singleton_set(v)),w)),v)**. % 299.97/300.38 100421[16:Res:1343.1,56166.0] || member(u,image(v,powerset(singleton_set(w)))) -> equal(f22(u,v,powerset(singleton_set(w))),a) equal(f24(f22(u,v,powerset(singleton_set(w)))),w)**. % 299.97/300.38 100808[16:Res:59048.1,6192.1] || member(u,v) equal(first(u),w) -> equal(intersection(second(u),x),a) member(f1(intersection(second(u),x),a),apply(v,w))*. % 299.97/300.38 100769[16:Res:59048.1,8.0] || -> equal(intersection(non_ordered_pair(u,v),w),a) equal(f1(intersection(non_ordered_pair(u,v),w),a),v)** equal(f1(intersection(non_ordered_pair(u,v),w),a),u)**. % 299.97/300.38 100925[16:Res:59049.1,6192.1] || member(u,v) equal(first(u),w) -> equal(intersection(x,second(u)),a) member(f1(intersection(x,second(u)),a),apply(v,w))*. % 299.97/300.38 100886[16:Res:59049.1,8.0] || -> equal(intersection(u,non_ordered_pair(v,w)),a) equal(f1(intersection(u,non_ordered_pair(v,w)),a),w)** equal(f1(intersection(u,non_ordered_pair(v,w)),a),v)**. % 299.97/300.38 101026[16:Res:59050.1,6192.1] || member(u,v) equal(first(u),w) -> equal(intersection(second(u),x),a) member(f1(a,intersection(second(u),x)),apply(v,w))*. % 299.97/300.38 100987[16:Res:59050.1,8.0] || -> equal(intersection(non_ordered_pair(u,v),w),a) equal(f1(a,intersection(non_ordered_pair(u,v),w)),v)** equal(f1(a,intersection(non_ordered_pair(u,v),w)),u)**. % 299.97/300.38 101165[16:Res:59051.1,6192.1] || member(u,v) equal(first(u),w) -> equal(intersection(x,second(u)),a) member(f1(a,intersection(x,second(u))),apply(v,w))*. % 299.97/300.38 101126[16:Res:59051.1,8.0] || -> equal(intersection(u,non_ordered_pair(v,w)),a) equal(f1(a,intersection(u,non_ordered_pair(v,w))),w)** equal(f1(a,intersection(u,non_ordered_pair(v,w))),v)**. % 299.97/300.38 101359[16:Res:59052.1,6192.1] || member(u,v) equal(first(u),w) -> equal(restrict(second(u),x),a) member(f1(restrict(second(u),x),a),apply(v,w))*. % 299.97/300.38 101320[16:Res:59052.1,8.0] || -> equal(restrict(non_ordered_pair(u,v),w),a) equal(f1(restrict(non_ordered_pair(u,v),w),a),v)** equal(f1(restrict(non_ordered_pair(u,v),w),a),u)**. % 299.97/300.38 101618[16:Res:59053.1,6192.1] || member(u,v) equal(first(u),w) -> equal(restrict(second(u),x),a) member(f1(a,restrict(second(u),x)),apply(v,w))*. % 299.97/300.38 101580[16:Res:59053.1,8.0] || -> equal(restrict(non_ordered_pair(u,v),w),a) equal(f1(a,restrict(non_ordered_pair(u,v),w)),v)** equal(f1(a,restrict(non_ordered_pair(u,v),w)),u)**. % 299.97/300.38 101689[16:Res:57867.1,3811.0] || disjoint(complement(u),v) -> equal(v,a) equal(w,f24(v)) member(f1(w,f24(v)),w)* member(f1(w,f24(v)),sigma(u))*. % 299.97/300.38 101688[16:Res:57867.1,3829.0] || disjoint(complement(u),v) -> equal(v,a) equal(f24(v),w) member(f1(f24(v),w),w)* member(f1(f24(v),w),sigma(u))*. % 299.97/300.38 101896[3:Res:3813.2,6192.1] || disjoint(u,universal_set) member(v,w) equal(first(v),x) -> equal(second(v),u) member(f1(second(v),u),apply(w,x))*. % 299.97/300.38 101852[0:Res:3813.2,1009.0] || disjoint(u,universal_set) subset(v,w) -> equal(converse(v),u) member(ordered_pair(second(f1(converse(v),u)),first(f1(converse(v),u))),w)*. % 299.97/300.38 102029[3:Res:3831.2,6192.1] || disjoint(u,universal_set) member(v,w) equal(first(v),x) -> equal(u,second(v)) member(f1(u,second(v)),apply(w,x))*. % 299.97/300.38 101986[0:Res:3831.2,1009.0] || disjoint(u,universal_set) subset(v,w) -> equal(u,converse(v)) member(ordered_pair(second(f1(u,converse(v))),first(f1(u,converse(v)))),w)*. % 299.97/300.38 103671[0:Res:557.1,16184.0] || member(u,range_of(cross_product(domain_of(intersection(cross_product(v,w),x)),y))) -> member(first(f27(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y))),v)*. % 299.97/300.38 103670[0:Res:558.1,16184.0] || member(u,sigma(cross_product(domain_of(intersection(cross_product(v,w),x)),y))) -> member(first(f16(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y))),v)*. % 299.97/300.38 103648[0:Res:1007.2,16184.0] || member(u,domain_of(v)) member(f8(u,v),converse(domain_of(intersection(cross_product(w,x),y))))* -> member(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.38 103647[0:Res:1008.2,16184.0] || member(u,range_of(v)) member(f27(u,v),converse(domain_of(intersection(cross_product(w,x),y))))* -> member(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.38 103609[0:Res:545.1,16184.0] || member(u,sigma(cross_product(v,domain_of(intersection(cross_product(w,x),y))))) -> member(second(f16(u,cross_product(v,domain_of(intersection(cross_product(w,x),y))))),w)*. % 299.97/300.38 103608[0:Res:546.1,16184.0] || member(u,domain_of(cross_product(v,domain_of(intersection(cross_product(w,x),y))))) -> member(second(f8(u,cross_product(v,domain_of(intersection(cross_product(w,x),y))))),w)*. % 299.97/300.38 103557[16:Res:55073.2,16184.0] little_set(domain_of(intersection(cross_product(u,v),w))) || -> equal(domain_of(intersection(cross_product(u,v),w)),a) member(f26(domain_of(intersection(cross_product(u,v),w))),u)*. % 299.97/300.38 103913[0:Res:557.1,16416.0] || member(u,range_of(cross_product(domain_of(intersection(v,cross_product(w,x))),y))) -> member(first(f27(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y))),w)*. % 299.97/300.38 103912[0:Res:558.1,16416.0] || member(u,sigma(cross_product(domain_of(intersection(v,cross_product(w,x))),y))) -> member(first(f16(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y))),w)*. % 299.97/300.38 103890[0:Res:1007.2,16416.0] || member(u,domain_of(v)) member(f8(u,v),converse(domain_of(intersection(w,cross_product(x,y)))))* -> member(ordered_pair(second(f8(u,v)),u),x)*. % 299.97/300.38 103889[0:Res:1008.2,16416.0] || member(u,range_of(v)) member(f27(u,v),converse(domain_of(intersection(w,cross_product(x,y)))))* -> member(ordered_pair(u,first(f27(u,v))),x)*. % 299.97/300.38 103851[0:Res:545.1,16416.0] || member(u,sigma(cross_product(v,domain_of(intersection(w,cross_product(x,y)))))) -> member(second(f16(u,cross_product(v,domain_of(intersection(w,cross_product(x,y)))))),x)*. % 299.97/300.38 103850[0:Res:546.1,16416.0] || member(u,domain_of(cross_product(v,domain_of(intersection(w,cross_product(x,y)))))) -> member(second(f8(u,cross_product(v,domain_of(intersection(w,cross_product(x,y)))))),x)*. % 299.97/300.38 103799[16:Res:55073.2,16416.0] little_set(domain_of(intersection(u,cross_product(v,w)))) || -> equal(domain_of(intersection(u,cross_product(v,w))),a) member(f26(domain_of(intersection(u,cross_product(v,w)))),v)*. % 299.97/300.38 104158[0:Res:557.1,17439.0] || member(u,range_of(cross_product(range_of(intersection(cross_product(v,w),x)),y))) -> member(first(f27(u,cross_product(range_of(intersection(cross_product(v,w),x)),y))),w)*. % 299.97/300.38 104157[0:Res:558.1,17439.0] || member(u,sigma(cross_product(range_of(intersection(cross_product(v,w),x)),y))) -> member(first(f16(u,cross_product(range_of(intersection(cross_product(v,w),x)),y))),w)*. % 299.97/300.38 104135[0:Res:1007.2,17439.0] || member(u,domain_of(v)) member(f8(u,v),converse(range_of(intersection(cross_product(w,x),y))))* -> member(ordered_pair(second(f8(u,v)),u),x)*. % 299.97/300.38 104134[0:Res:1008.2,17439.0] || member(u,range_of(v)) member(f27(u,v),converse(range_of(intersection(cross_product(w,x),y))))* -> member(ordered_pair(u,first(f27(u,v))),x)*. % 299.97/300.38 104096[0:Res:545.1,17439.0] || member(u,sigma(cross_product(v,range_of(intersection(cross_product(w,x),y))))) -> member(second(f16(u,cross_product(v,range_of(intersection(cross_product(w,x),y))))),x)*. % 299.97/300.38 104095[0:Res:546.1,17439.0] || member(u,domain_of(cross_product(v,range_of(intersection(cross_product(w,x),y))))) -> member(second(f8(u,cross_product(v,range_of(intersection(cross_product(w,x),y))))),x)*. % 299.97/300.38 104044[16:Res:55073.2,17439.0] little_set(range_of(intersection(cross_product(u,v),w))) || -> equal(range_of(intersection(cross_product(u,v),w)),a) member(f26(range_of(intersection(cross_product(u,v),w))),v)*. % 299.97/300.38 104435[0:Res:557.1,17546.0] || member(u,range_of(cross_product(range_of(intersection(v,cross_product(w,x))),y))) -> member(first(f27(u,cross_product(range_of(intersection(v,cross_product(w,x))),y))),x)*. % 299.97/300.38 104434[0:Res:558.1,17546.0] || member(u,sigma(cross_product(range_of(intersection(v,cross_product(w,x))),y))) -> member(first(f16(u,cross_product(range_of(intersection(v,cross_product(w,x))),y))),x)*. % 299.97/300.38 104412[0:Res:1007.2,17546.0] || member(u,domain_of(v)) member(f8(u,v),converse(range_of(intersection(w,cross_product(x,y)))))* -> member(ordered_pair(second(f8(u,v)),u),y)*. % 299.97/300.38 104411[0:Res:1008.2,17546.0] || member(u,range_of(v)) member(f27(u,v),converse(range_of(intersection(w,cross_product(x,y)))))* -> member(ordered_pair(u,first(f27(u,v))),y)*. % 299.97/300.38 104373[0:Res:545.1,17546.0] || member(u,sigma(cross_product(v,range_of(intersection(w,cross_product(x,y)))))) -> member(second(f16(u,cross_product(v,range_of(intersection(w,cross_product(x,y)))))),y)*. % 299.97/300.38 104372[0:Res:546.1,17546.0] || member(u,domain_of(cross_product(v,range_of(intersection(w,cross_product(x,y)))))) -> member(second(f8(u,cross_product(v,range_of(intersection(w,cross_product(x,y)))))),y)*. % 299.97/300.38 104321[16:Res:55073.2,17546.0] little_set(range_of(intersection(u,cross_product(v,w)))) || -> equal(range_of(intersection(u,cross_product(v,w))),a) member(f26(range_of(intersection(u,cross_product(v,w)))),w)*. % 299.97/300.38 104662[0:Res:18826.1,3653.2] little_set(intersection(u,v)) || member(w,v)* member(w,u)* -> member(intersection(u,v),complement(x))* member(w,sigma(union(x,y)))*. % 299.97/300.38 104753[3:SSi:104630.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,union(v,w))* -> member(ordered_pair(f2(x),u),complement(v))* equal(u,f3(x)). % 299.97/300.38 104761[0:SSi:104668.0,371.0] || member(u,apply(v,w)) -> member(ordered_pair(second(f28(u,v,w)),w),complement(x))* member(f28(u,v,w),converse(union(x,y)))*. % 299.97/300.38 104762[0:SSi:104665.0,371.0] || member(u,image(v,w)) -> member(ordered_pair(u,first(f22(u,v,w))),complement(x))* member(f22(u,v,w),converse(union(x,y)))*. % 299.97/300.38 104772[0:SSi:104645.0,371.0,371.0] || member(u,rotate_right(v)) disjoint(union(w,x),v)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),complement(w))*. % 299.97/300.38 104773[0:SSi:104644.0,371.0,371.0] || member(u,flip_range_of(v)) disjoint(union(w,x),v)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),complement(w))*. % 299.97/300.38 105006[0:Res:18827.1,3653.2] little_set(intersection(u,v)) || member(w,v)* member(w,u)* -> member(intersection(u,v),complement(x))* member(w,sigma(union(y,x)))*. % 299.97/300.38 105099[3:SSi:104974.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,union(v,w))* -> member(ordered_pair(f2(x),u),complement(w))* equal(u,f3(x)). % 299.97/300.38 105107[0:SSi:105012.0,371.0] || member(u,apply(v,w)) -> member(ordered_pair(second(f28(u,v,w)),w),complement(x))* member(f28(u,v,w),converse(union(y,x)))*. % 299.97/300.38 105108[0:SSi:105009.0,371.0] || member(u,image(v,w)) -> member(ordered_pair(u,first(f22(u,v,w))),complement(x))* member(f22(u,v,w),converse(union(y,x)))*. % 299.97/300.38 105118[0:SSi:104989.0,371.0,371.0] || member(u,rotate_right(v)) disjoint(union(w,x),v)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),complement(x))*. % 299.97/300.38 105119[0:SSi:104988.0,371.0,371.0] || member(u,flip_range_of(v)) disjoint(union(w,x),v)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),complement(x))*. % 299.97/300.38 105398[0:Res:1351.1,26698.0] || member(u,image(v,intersection(w,apply(cross_product(x,y),z)))) -> member(f22(u,v,intersection(w,apply(cross_product(x,y),z))),sigma(y))*. % 299.97/300.38 105365[0:Res:1007.2,26698.0] || member(u,domain_of(v)) member(f8(u,v),converse(apply(cross_product(w,x),y)))* -> member(ordered_pair(second(f8(u,v)),u),sigma(x))*. % 299.97/300.38 105364[0:Res:1008.2,26698.0] || member(u,range_of(v)) member(f27(u,v),converse(apply(cross_product(w,x),y)))* -> member(ordered_pair(u,first(f27(u,v))),sigma(x))*. % 299.97/300.38 105343[0:Res:1286.1,26698.0] || member(u,apply(intersection(v,apply(cross_product(w,x),y)),z)) -> member(f28(u,intersection(v,apply(cross_product(w,x),y)),z),sigma(x))*. % 299.97/300.38 105331[0:Res:1350.1,26698.0] || member(u,image(v,intersection(apply(cross_product(w,x),y),z))) -> member(f22(u,v,intersection(apply(cross_product(w,x),y),z)),sigma(x))*. % 299.97/300.38 105300[0:Res:1285.1,26698.0] || member(u,apply(intersection(apply(cross_product(v,w),x),y),z)) -> member(f28(u,intersection(apply(cross_product(v,w),x),y),z),sigma(w))*. % 299.97/300.38 4636[0:Res:58.1,282.0] || member(u,flip_range_of(restrict(v,w))) -> member(ordered_pair(f12(u,restrict(v,w)),ordered_pair(f14(u,restrict(v,w)),f13(u,restrict(v,w)))),v)*. % 299.97/300.38 4784[0:Res:52.1,282.0] || member(u,rotate_right(restrict(v,w))) -> member(ordered_pair(f10(u,restrict(v,w)),ordered_pair(f11(u,restrict(v,w)),f9(u,restrict(v,w)))),v)*. % 299.97/300.38 7253[0:Res:136.1,547.0] || member(u,compose(v,range_of(cross_product(w,x)))) -> member(ordered_pair(f31(u,v,range_of(cross_product(w,x))),f30(u,v,range_of(cross_product(w,x)))),x)*. % 299.97/300.38 7250[0:Res:135.1,547.0] || member(u,compose(range_of(cross_product(v,w)),x)) -> member(ordered_pair(f29(u,range_of(cross_product(v,w)),x),f31(u,range_of(cross_product(v,w)),x)),w)*. % 299.97/300.38 7299[0:Res:136.1,560.0] || member(u,compose(v,domain_of(cross_product(w,x)))) -> member(ordered_pair(f31(u,v,domain_of(cross_product(w,x))),f30(u,v,domain_of(cross_product(w,x)))),w)*. % 299.97/300.38 7296[0:Res:135.1,560.0] || member(u,compose(domain_of(cross_product(v,w)),x)) -> member(ordered_pair(f29(u,domain_of(cross_product(v,w)),x),f31(u,domain_of(cross_product(v,w)),x)),v)*. % 299.97/300.38 7392[0:SSi:7391.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(sigma(x)) || member(universal_set,x)* member(ordered_pair(w,v),universal_set)* -> equal(v,u)*. % 299.97/300.38 8095[3:MRR:8064.0,6168.1] || member(second(f17(complement(cross_product(u,v)),w)),v)* member(first(f17(complement(cross_product(u,v)),w)),u)* -> subset(complement(cross_product(u,v)),w). % 299.97/300.38 9088[3:MRR:9063.0,6167.1] || member(second(f23(u,complement(cross_product(v,w)))),w)* member(first(f23(u,complement(cross_product(v,w)))),v)* -> disjoint(u,complement(cross_product(v,w))). % 299.97/300.38 9157[3:MRR:9132.0,6167.1] || member(second(f23(complement(cross_product(u,v)),w)),v)* member(first(f23(complement(cross_product(u,v)),w)),u)* -> disjoint(complement(cross_product(u,v)),w). % 299.97/300.38 11128[0:Res:136.1,4238.0] || member(u,compose(v,compose(w,x))) equal(y,ordered_pair(f31(u,v,compose(w,x)),f30(u,v,compose(w,x))))* -> ordered_pair_predicate(y)*. % 299.97/300.38 11125[0:Res:135.1,4238.0] || member(u,compose(compose(v,w),x)) equal(y,ordered_pair(f29(u,compose(v,w),x),f31(u,compose(v,w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.38 12359[0:Res:33.2,492.1] || member(f8(u,complement(intersection(v,w))),w)* member(f8(u,complement(intersection(v,w))),v)* member(u,domain_of(complement(intersection(v,w)))) -> . % 299.97/300.38 12411[0:Res:33.2,454.1] || member(f16(u,complement(intersection(v,w))),w)* member(f16(u,complement(intersection(v,w))),v)* member(u,sigma(complement(intersection(v,w)))) -> . % 299.97/300.38 12460[0:Res:33.2,425.1] || member(f27(u,complement(intersection(v,w))),w)* member(f27(u,complement(intersection(v,w))),v)* member(u,range_of(complement(intersection(v,w)))) -> . % 299.97/300.38 13275[0:Res:52.1,10964.0] || member(u,rotate_right(complement(complement(v)))) -> member(ordered_pair(f10(u,complement(complement(v))),ordered_pair(f11(u,complement(complement(v))),f9(u,complement(complement(v))))),v)*. % 299.97/300.38 13274[0:Res:58.1,10964.0] || member(u,flip_range_of(complement(complement(v)))) -> member(ordered_pair(f12(u,complement(complement(v))),ordered_pair(f14(u,complement(complement(v))),f13(u,complement(complement(v))))),v)*. % 299.97/300.38 13317[3:Res:538.1,6192.1] || member(u,v) equal(first(u),w) -> disjoint(cross_product(x,second(u)),y) member(second(f23(cross_product(x,second(u)),y)),apply(v,w))*. % 299.97/300.38 13360[3:Res:543.1,6192.1] || member(u,v) equal(first(u),w) -> disjoint(x,cross_product(y,second(u))) member(second(f23(x,cross_product(y,second(u)))),apply(v,w))*. % 299.97/300.38 13434[3:Res:551.1,6192.1] || member(u,v) equal(first(u),w) -> disjoint(cross_product(second(u),x),y) member(first(f23(cross_product(second(u),x),y)),apply(v,w))*. % 299.97/300.38 13512[3:Res:556.1,6192.1] || member(u,v) equal(first(u),w) -> disjoint(x,cross_product(second(u),y)) member(first(f23(x,cross_product(second(u),y))),apply(v,w))*. % 299.97/300.38 13653[3:Res:539.1,6192.1] || member(u,v) equal(first(u),w) -> subset(cross_product(x,second(u)),y) member(second(f17(cross_product(x,second(u)),y)),apply(v,w))*. % 299.97/300.38 13716[3:Res:552.1,6192.1] || member(u,v) equal(first(u),w) -> subset(cross_product(second(u),x),y) member(first(f17(cross_product(second(u),x),y)),apply(v,w))*. % 299.97/300.38 14382[3:SSi:14351.0,5742.0,371.1] || member(second(ordered_pair(second(u),first(u))),v)* member(first(ordered_pair(second(u),first(u))),w)* member(u,converse(complement(cross_product(w,v))))* -> . % 299.97/300.38 14576[3:SSi:14543.0,5742.0,371.1] || member(second(ordered_pair(f19(u),f21(u))),v)* member(first(ordered_pair(f19(u),f21(u))),w)* disjoint(cross_product(w,v),u)* -> single_valued_set(u). % 299.97/300.38 14641[3:SSi:14608.0,5742.0,371.1] || member(second(ordered_pair(f19(u),f20(u))),v)* member(first(ordered_pair(f19(u),f20(u))),w)* disjoint(cross_product(w,v),u)* -> single_valued_set(u). % 299.97/300.38 14860[0:Res:395.0,1020.0] || -> subset(u,complement(converse(intersection(v,w)))) member(ordered_pair(second(f17(u,complement(converse(intersection(v,w))))),first(f17(u,complement(converse(intersection(v,w)))))),v)*. % 299.97/300.38 14852[0:Res:4258.0,1020.0] || -> equal(complement(converse(intersection(u,v))),universal_set) member(ordered_pair(second(f1(complement(converse(intersection(u,v))),universal_set)),first(f1(complement(converse(intersection(u,v))),universal_set))),u)*. % 299.97/300.38 14966[0:Res:395.0,1021.0] || -> subset(u,complement(converse(intersection(v,w)))) member(ordered_pair(second(f17(u,complement(converse(intersection(v,w))))),first(f17(u,complement(converse(intersection(v,w)))))),w)*. % 299.97/300.38 14958[0:Res:4258.0,1021.0] || -> equal(complement(converse(intersection(u,v))),universal_set) member(ordered_pair(second(f1(complement(converse(intersection(u,v))),universal_set)),first(f1(complement(converse(intersection(u,v))),universal_set))),v)*. % 299.97/300.38 15231[3:Res:965.2,6192.1] || member(u,domain_of(v)) subset(v,second(w))* member(w,x)* equal(first(w),y)* -> member(f8(u,v),apply(x,y))*. % 299.97/300.38 15282[3:Res:964.2,6192.1] || member(u,sigma(v)) subset(v,second(w))* member(w,x)* equal(first(w),y)* -> member(f16(u,v),apply(x,y))*. % 299.97/300.38 15507[3:Res:963.2,6192.1] || member(u,range_of(v)) subset(v,second(w))* member(w,x)* equal(first(w),y)* -> member(f27(u,v),apply(x,y))*. % 299.97/300.38 16058[2:Res:1080.2,616.1] little_set(first(f27(ordered_pair(u,v),w))) || equal(first(f27(ordered_pair(u,v),w)),non_ordered_pair(u,v))** member(ordered_pair(u,v),range_of(w)) -> . % 299.97/300.38 17073[0:Res:52.1,15955.0] || member(u,rotate_right(sigma(powerset(v)))) -> member(ordered_pair(f10(u,sigma(powerset(v))),ordered_pair(f11(u,sigma(powerset(v))),f9(u,sigma(powerset(v))))),v)*. % 299.97/300.38 17072[0:Res:58.1,15955.0] || member(u,flip_range_of(sigma(powerset(v)))) -> member(ordered_pair(f12(u,sigma(powerset(v))),ordered_pair(f14(u,sigma(powerset(v))),f13(u,sigma(powerset(v))))),v)*. % 299.97/300.38 17926[0:Res:66.1,1014.0] || member(u,sigma(converse(cross_product(v,w)))) -> member(first(ordered_pair(second(f16(u,converse(cross_product(v,w)))),first(f16(u,converse(cross_product(v,w)))))),v)*. % 299.97/300.38 18050[0:Res:66.1,1015.0] || member(u,sigma(converse(cross_product(v,w)))) -> member(second(ordered_pair(second(f16(u,converse(cross_product(v,w)))),first(f16(u,converse(cross_product(v,w)))))),w)*. % 299.97/300.38 18163[0:Res:4115.1,1020.0] ordered_pair_predicate(u) || -> member(u,converse(complement(converse(intersection(v,w)))))* member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)*. % 299.97/300.38 18162[0:Res:4115.1,1021.0] ordered_pair_predicate(u) || -> member(u,converse(complement(converse(intersection(v,w)))))* member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),w)*. % 299.97/300.38 19590[0:Res:546.1,314.0] || member(u,domain_of(cross_product(v,intersection(complement(w),complement(x))))) member(second(f8(u,cross_product(v,intersection(complement(w),complement(x))))),union(w,x))* -> . % 299.97/300.38 19572[3:Res:546.1,6176.0] || member(u,domain_of(cross_product(v,converse(w)))) -> ordered_pair_predicate(ordered_pair(second(second(f8(u,cross_product(v,converse(w))))),first(second(f8(u,cross_product(v,converse(w)))))))*. % 299.97/300.38 20675[0:Res:545.1,314.0] || member(u,sigma(cross_product(v,intersection(complement(w),complement(x))))) member(second(f16(u,cross_product(v,intersection(complement(w),complement(x))))),union(w,x))* -> . % 299.97/300.38 20657[3:Res:545.1,6176.0] || member(u,sigma(cross_product(v,converse(w)))) -> ordered_pair_predicate(ordered_pair(second(second(f16(u,cross_product(v,converse(w))))),first(second(f16(u,cross_product(v,converse(w)))))))*. % 299.97/300.38 20783[0:Res:558.1,314.0] || member(u,sigma(cross_product(intersection(complement(v),complement(w)),x))) member(first(f16(u,cross_product(intersection(complement(v),complement(w)),x))),union(v,w))* -> . % 299.97/300.38 20765[3:Res:558.1,6176.0] || member(u,sigma(cross_product(converse(v),w))) -> ordered_pair_predicate(ordered_pair(second(first(f16(u,cross_product(converse(v),w)))),first(first(f16(u,cross_product(converse(v),w))))))*. % 299.97/300.38 20918[0:Res:557.1,314.0] || member(u,range_of(cross_product(intersection(complement(v),complement(w)),x))) member(first(f27(u,cross_product(intersection(complement(v),complement(w)),x))),union(v,w))* -> . % 299.97/300.38 20900[3:Res:557.1,6176.0] || member(u,range_of(cross_product(converse(v),w))) -> ordered_pair_predicate(ordered_pair(second(first(f27(u,cross_product(converse(v),w)))),first(first(f27(u,cross_product(converse(v),w))))))*. % 299.97/300.38 21143[0:Res:3651.2,1216.0] || member(ordered_pair(f19(u),f20(u)),cross_product(v,universal_set))* member(ordered_pair(f19(u),f20(u)),w)* disjoint(restrict(w,v),u)* -> single_valued_set(u). % 299.97/300.38 21142[0:Res:3651.2,1215.0] || member(ordered_pair(f19(u),f21(u)),cross_product(v,universal_set))* member(ordered_pair(f19(u),f21(u)),w)* disjoint(restrict(w,v),u)* -> single_valued_set(u). % 299.97/300.38 21140[0:Res:3651.2,1019.1] || member(ordered_pair(second(u),first(u)),cross_product(v,universal_set))* member(ordered_pair(second(u),first(u)),w)* member(u,converse(complement(restrict(w,v))))* -> . % 299.97/300.38 21116[0:Res:3651.2,260.0] || member(f23(u,complement(restrict(v,w))),cross_product(w,universal_set))* member(f23(u,complement(restrict(v,w))),v)* -> disjoint(u,complement(restrict(v,w))). % 299.97/300.38 21111[0:Res:3651.2,256.0] || member(f23(complement(restrict(u,v)),w),cross_product(v,universal_set))* member(f23(complement(restrict(u,v)),w),u)* -> disjoint(complement(restrict(u,v)),w). % 299.97/300.38 21110[0:Res:3651.2,257.0] || member(f17(complement(restrict(u,v)),w),cross_product(v,universal_set))* member(f17(complement(restrict(u,v)),w),u)* -> subset(complement(restrict(u,v)),w). % 299.97/300.38 21911[0:Res:957.2,1009.0] || subset(u,converse(v))* subset(v,w)* -> single_valued_set(u) member(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),w)*. % 299.97/300.38 21910[0:Res:956.2,1009.0] || subset(u,converse(v))* subset(v,w)* -> single_valued_set(u) member(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),w)*. % 299.97/300.38 21856[0:Res:86.1,1009.0] || subset(u,v) -> single_valued_set(converse(u)) member(ordered_pair(second(ordered_pair(f19(converse(u)),f20(converse(u)))),first(ordered_pair(f19(converse(u)),f20(converse(u))))),v)*. % 299.97/300.38 21855[0:Res:87.1,1009.0] || subset(u,v) -> single_valued_set(converse(u)) member(ordered_pair(second(ordered_pair(f19(converse(u)),f21(converse(u)))),first(ordered_pair(f19(converse(u)),f21(converse(u))))),v)*. % 299.97/300.38 22358[2:Res:5009.3,1472.1] little_set(u) little_set(v) || member(first(f22(first(ordered_pair(v,u)),w,x)),v)* member(first(ordered_pair(v,u)),image(w,x)) -> . % 299.97/300.38 22497[0:Res:288.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(intersection(f2(u),w)) member(ordered_pair(f19(intersection(f2(u),w)),f20(intersection(f2(u),w))),first(v))*. % 299.97/300.38 22496[0:Res:287.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(intersection(f2(u),w)) member(ordered_pair(f19(intersection(f2(u),w)),f21(intersection(f2(u),w))),first(v))*. % 299.97/300.38 22493[0:Res:280.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(intersection(w,f2(u))) member(ordered_pair(f19(intersection(w,f2(u))),f20(intersection(w,f2(u)))),first(v))*. % 299.97/300.38 22492[0:Res:279.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(intersection(w,f2(u))) member(ordered_pair(f19(intersection(w,f2(u))),f21(intersection(w,f2(u)))),first(v))*. % 299.97/300.38 22603[2:Res:5054.3,1472.1] little_set(u) little_set(v) || member(first(f22(second(ordered_pair(v,u)),w,x)),u)* member(second(ordered_pair(v,u)),image(w,x)) -> . % 299.97/300.38 22705[0:Res:288.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(intersection(f3(u),w)) member(ordered_pair(f19(intersection(f3(u),w)),f20(intersection(f3(u),w))),second(v))*. % 299.97/300.38 22704[0:Res:287.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(intersection(f3(u),w)) member(ordered_pair(f19(intersection(f3(u),w)),f21(intersection(f3(u),w))),second(v))*. % 299.97/300.38 22701[0:Res:280.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(intersection(w,f3(u))) member(ordered_pair(f19(intersection(w,f3(u))),f20(intersection(w,f3(u)))),second(v))*. % 299.97/300.38 22700[0:Res:279.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(intersection(w,f3(u))) member(ordered_pair(f19(intersection(w,f3(u))),f21(intersection(w,f3(u)))),second(v))*. % 299.97/300.38 22809[3:Res:3821.1,6176.0] || -> equal(converse(u),powerset(v)) subset(f1(converse(u),powerset(v)),v) ordered_pair_predicate(ordered_pair(second(f1(converse(u),powerset(v))),first(f1(converse(u),powerset(v)))))*. % 299.97/300.38 22904[3:Res:3839.1,6176.0] || -> equal(powerset(u),converse(v)) subset(f1(powerset(u),converse(v)),u) ordered_pair_predicate(ordered_pair(second(f1(powerset(u),converse(v))),first(f1(powerset(u),converse(v)))))*. % 299.97/300.38 23029[2:Res:1339.2,1467.1] || member(u,image(v,w)) subset(w,second(f28(x,y,f22(u,v,w))))* member(x,apply(y,f22(u,v,w))) -> . % 299.97/300.38 23121[2:Res:1274.2,1467.1] || member(u,apply(v,w)) subset(v,second(f28(x,y,f28(u,v,w))))* member(x,apply(y,f28(u,v,w))) -> . % 299.97/300.38 23201[0:Res:1350.1,5063.1] ordered_pair_predicate(u) || member(v,image(w,intersection(f3(u),x))) equal(y,u) -> member(f22(v,w,intersection(f3(u),x)),second(y))*. % 299.97/300.38 23200[0:Res:1350.1,5018.1] ordered_pair_predicate(u) || member(v,image(w,intersection(f2(u),x))) equal(y,u) -> member(f22(v,w,intersection(f2(u),x)),first(y))*. % 299.97/300.38 23217[0:Rew:95.1,23176.1] || member(u,image(v,intersection(converse(cross_product(w,x)),y))) -> member(first(ordered_pair(u,first(f22(u,v,intersection(converse(cross_product(w,x)),y))))),w)*. % 299.97/300.38 23218[0:Rew:95.1,23175.1] || member(u,image(v,intersection(converse(cross_product(w,x)),y))) -> member(second(ordered_pair(u,first(f22(u,v,intersection(converse(cross_product(w,x)),y))))),x)*. % 299.97/300.38 23286[0:Res:1351.1,5063.1] ordered_pair_predicate(u) || member(v,image(w,intersection(x,f3(u)))) equal(y,u) -> member(f22(v,w,intersection(x,f3(u))),second(y))*. % 299.97/300.38 23285[0:Res:1351.1,5018.1] ordered_pair_predicate(u) || member(v,image(w,intersection(x,f2(u)))) equal(y,u) -> member(f22(v,w,intersection(x,f2(u))),first(y))*. % 299.97/300.38 23302[0:Rew:95.1,23261.1] || member(u,image(v,intersection(w,converse(cross_product(x,y))))) -> member(first(ordered_pair(u,first(f22(u,v,intersection(w,converse(cross_product(x,y))))))),x)*. % 299.97/300.38 23303[0:Rew:95.1,23260.1] || member(u,image(v,intersection(w,converse(cross_product(x,y))))) -> member(second(ordered_pair(u,first(f22(u,v,intersection(w,converse(cross_product(x,y))))))),y)*. % 299.97/300.38 23371[0:Res:1285.1,5063.1] ordered_pair_predicate(u) || member(v,apply(intersection(f3(u),w),x)) equal(y,u) -> member(f28(v,intersection(f3(u),w),x),second(y))*. % 299.97/300.38 23370[0:Res:1285.1,5018.1] ordered_pair_predicate(u) || member(v,apply(intersection(f2(u),w),x)) equal(y,u) -> member(f28(v,intersection(f2(u),w),x),first(y))*. % 299.97/300.38 23387[0:Rew:119.1,23346.1] || member(u,apply(intersection(converse(cross_product(v,w)),x),y)) -> member(first(ordered_pair(second(f28(u,intersection(converse(cross_product(v,w)),x),y)),y)),v)*. % 299.97/300.38 23388[0:Rew:119.1,23345.1] || member(u,apply(intersection(converse(cross_product(v,w)),x),y)) -> member(second(ordered_pair(second(f28(u,intersection(converse(cross_product(v,w)),x),y)),y)),w)*. % 299.97/300.38 23472[0:Res:1286.1,5063.1] ordered_pair_predicate(u) || member(v,apply(intersection(w,f3(u)),x)) equal(y,u) -> member(f28(v,intersection(w,f3(u)),x),second(y))*. % 299.97/300.38 23471[0:Res:1286.1,5018.1] ordered_pair_predicate(u) || member(v,apply(intersection(w,f2(u)),x)) equal(y,u) -> member(f28(v,intersection(w,f2(u)),x),first(y))*. % 299.97/300.38 23488[0:Rew:119.1,23447.1] || member(u,apply(intersection(v,converse(cross_product(w,x))),y)) -> member(first(ordered_pair(second(f28(u,intersection(v,converse(cross_product(w,x))),y)),y)),w)*. % 299.97/300.38 23489[0:Rew:119.1,23446.1] || member(u,apply(intersection(v,converse(cross_product(w,x))),y)) -> member(second(ordered_pair(second(f28(u,intersection(v,converse(cross_product(w,x))),y)),y)),x)*. % 299.97/300.38 23965[0:Res:5054.3,1227.1] little_set(u) little_set(v) || member(ordered_pair(second(w),first(w)),u)* member(w,converse(x))* disjoint(second(ordered_pair(v,u)),x)* -> . % 299.97/300.38 23964[0:Res:5009.3,1227.1] little_set(u) little_set(v) || member(ordered_pair(second(w),first(w)),v)* member(w,converse(x))* disjoint(first(ordered_pair(v,u)),x)* -> . % 299.97/300.38 24339[0:Res:46.1,1163.0] || member(u,converse(converse(v)))* member(v,w)* -> member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),sigma(w))*. % 299.97/300.38 24333[0:Res:964.2,1163.0] || member(u,sigma(v)) subset(v,converse(w))* member(w,x)* -> member(ordered_pair(second(f16(u,v)),first(f16(u,v))),sigma(x))*. % 299.97/300.38 24377[0:Rew:95.1,24362.2] || member(u,image(v,intersection(w,converse(x)))) member(x,y) -> member(ordered_pair(u,first(f22(u,v,intersection(w,converse(x))))),sigma(y))*. % 299.97/300.38 24378[0:Rew:119.1,24337.2] || member(u,apply(intersection(v,converse(w)),x)) member(w,y) -> member(ordered_pair(second(f28(u,intersection(v,converse(w)),x)),x),sigma(y))*. % 299.97/300.38 24379[0:Rew:95.1,24327.2] || member(u,image(v,intersection(converse(w),x))) member(w,y) -> member(ordered_pair(u,first(f22(u,v,intersection(converse(w),x)))),sigma(y))*. % 299.97/300.38 24380[0:Rew:119.1,24311.2] || member(u,apply(intersection(converse(v),w),x)) member(v,y) -> member(ordered_pair(second(f28(u,intersection(converse(v),w),x)),x),sigma(y))*. % 299.97/300.38 24944[0:Res:5054.3,1141.2] little_set(u) little_set(v) little_set(w) || member(non_ordered_pair(x,y),u)* equal(w,y)* -> member(w,sigma(second(ordered_pair(v,u))))*. % 299.97/300.38 24943[0:Res:5009.3,1141.2] little_set(u) little_set(v) little_set(w) || member(non_ordered_pair(x,y),v)* equal(w,y)* -> member(w,sigma(first(ordered_pair(v,u))))*. % 299.97/300.38 25000[0:Res:5054.3,1142.2] little_set(u) little_set(v) little_set(w) || member(non_ordered_pair(x,y),u)* equal(w,x)* -> member(w,sigma(second(ordered_pair(v,u))))*. % 299.97/300.38 24999[0:Res:5009.3,1142.2] little_set(u) little_set(v) little_set(w) || member(non_ordered_pair(x,y),v)* equal(w,x)* -> member(w,sigma(first(ordered_pair(v,u))))*. % 299.97/300.38 25432[0:Res:1544.2,5063.1] ordered_pair_predicate(u) || member(v,image(w,x)) subset(w,f3(u))* equal(y,u)* -> member(first(f22(v,w,x)),second(y))*. % 299.97/300.38 25431[0:Res:1544.2,5018.1] ordered_pair_predicate(u) || member(v,image(w,x)) subset(w,f2(u))* equal(y,u)* -> member(first(f22(v,w,x)),first(y))*. % 299.97/300.38 25411[2:Res:1544.2,644.1] || member(u,image(v,w)) subset(v,second(f8(first(f22(u,v,w)),x)))* member(first(f22(u,v,w)),domain_of(x)) -> . % 299.97/300.38 25392[0:Res:1544.2,8.0] || member(u,image(v,w)) subset(v,non_ordered_pair(x,y))* -> equal(first(f22(u,v,w)),y)* equal(first(f22(u,v,w)),x)*. % 299.97/300.38 25494[0:Res:5054.3,1272.1] little_set(u) little_set(v) || member(f28(w,x,y),u)* member(w,apply(x,y)) disjoint(second(ordered_pair(v,u)),x)* -> . % 299.97/300.38 25493[0:Res:5009.3,1272.1] little_set(u) little_set(v) || member(f28(w,x,y),v)* member(w,apply(x,y)) disjoint(first(ordered_pair(v,u)),x)* -> . % 299.97/300.38 25481[0:Res:33.2,1272.1] || member(f28(u,v,w),x)* member(f28(u,v,w),y)* member(u,apply(v,w)) disjoint(intersection(y,x),v)* -> . % 299.97/300.38 25480[0:Res:120.1,1272.1] || member(f28(u,v,w),apply(x,y)) member(u,apply(v,w)) disjoint(second(f28(f28(u,v,w),x,y)),v)* -> . % 299.97/300.38 25627[0:Res:5054.3,1337.1] little_set(u) little_set(v) || member(f22(w,x,y),u)* member(w,image(x,y)) disjoint(second(ordered_pair(v,u)),y)* -> . % 299.97/300.38 25626[0:Res:5009.3,1337.1] little_set(u) little_set(v) || member(f22(w,x,y),v)* member(w,image(x,y)) disjoint(first(ordered_pair(v,u)),y)* -> . % 299.97/300.38 25615[0:Res:33.2,1337.1] || member(f22(u,v,w),x)* member(f22(u,v,w),y)* member(u,image(v,w)) disjoint(intersection(y,x),w)* -> . % 299.97/300.38 25614[0:Res:120.1,1337.1] || member(f22(u,v,w),apply(x,y)) member(u,image(v,w)) disjoint(second(f28(f22(u,v,w),x,y)),w)* -> . % 299.97/300.38 26361[0:Res:206.1,3812.0] || -> disjoint(u,powerset(v)) equal(w,f23(u,powerset(v))) member(f1(w,f23(u,powerset(v))),w)* member(f1(w,f23(u,powerset(v))),v)*. % 299.97/300.38 26352[0:Res:216.1,3812.0] || -> subset(powerset(u),v) equal(w,f17(powerset(u),v)) member(f1(w,f17(powerset(u),v)),w)* member(f1(w,f17(powerset(u),v)),u)*. % 299.97/300.38 26351[0:Res:211.1,3812.0] || -> disjoint(powerset(u),v) equal(w,f23(powerset(u),v)) member(f1(w,f23(powerset(u),v)),w)* member(f1(w,f23(powerset(u),v)),u)*. % 299.97/300.38 26490[0:Res:206.1,3830.0] || -> disjoint(u,powerset(v)) equal(f23(u,powerset(v)),w) member(f1(f23(u,powerset(v)),w),w)* member(f1(f23(u,powerset(v)),w),v)*. % 299.97/300.38 26481[0:Res:216.1,3830.0] || -> subset(powerset(u),v) equal(f17(powerset(u),v),w) member(f1(f17(powerset(u),v),w),w)* member(f1(f17(powerset(u),v),w),u)*. % 299.97/300.38 26480[0:Res:211.1,3830.0] || -> disjoint(powerset(u),v) equal(f23(powerset(u),v),w) member(f1(f23(powerset(u),v),w),w)* member(f1(f23(powerset(u),v),w),u)*. % 299.97/300.38 26681[0:Res:1079.2,1562.1] little_set(second(f28(u,v,w))) || equal(second(f28(u,v,w)),x)* member(u,apply(v,w)) -> member(u,sigma(singleton_set(x)))*. % 299.97/300.38 26680[0:Res:77.2,1562.1] little_set(second(f28(u,v,w))) || subset(second(f28(u,v,w)),x)* member(u,apply(v,w)) -> member(u,sigma(powerset(x))). % 299.97/300.38 27080[0:Res:1549.1,1354.0] || member(u,image(cross_product(image(v,cross_product(w,x)),y),z)) -> member(first(first(f22(u,cross_product(image(v,cross_product(w,x)),y),z))),x)*. % 299.97/300.38 27225[0:Res:1550.1,1354.0] || member(u,image(cross_product(v,image(w,cross_product(x,y))),z)) -> member(second(first(f22(u,cross_product(v,image(w,cross_product(x,y))),z))),y)*. % 299.97/300.38 28035[0:Res:1103.2,3653.2] little_set(intersection(u,v)) || equal(intersection(u,v),singleton_set(w))* member(x,v)* member(x,u)* -> member(x,sigma(ordered_pair(w,y)))*. % 299.97/300.38 28027[0:Res:33.2,3653.2] || member(intersection(u,v),w)* member(intersection(u,v),x)* member(y,v)* member(y,u)* -> member(y,sigma(intersection(x,w)))*. % 299.97/300.38 28026[0:Res:120.1,3653.2] || member(intersection(u,v),apply(w,x)) member(y,v) member(y,u) -> member(y,sigma(second(f28(intersection(u,v),w,x))))*. % 299.97/300.38 28315[0:Res:33.2,3810.0] || member(f1(u,v),w)* member(f1(u,v),x)* disjoint(intersection(x,w),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.38 28314[0:Res:120.1,3810.0] || member(f1(u,v),apply(w,x)) disjoint(second(f28(f1(u,v),w,x)),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.38 28582[0:Res:1155.2,3811.0] || member(u,infinity) member(infinity,v) -> equal(w,successor(u)) member(f1(w,successor(u)),w)* member(f1(w,successor(u)),sigma(sigma(v)))*. % 299.97/300.38 28424[0:Res:3651.2,3811.0] || member(u,cross_product(v,universal_set)) member(u,w) -> equal(x,u) member(f1(x,u),x)* member(f1(x,u),sigma(restrict(w,v)))*. % 299.97/300.38 28423[0:Res:384.1,3811.0] little_set(u) || -> member(u,union(v,w)) equal(x,u) member(f1(x,u),x)* member(f1(x,u),sigma(intersection(complement(v),complement(w))))*. % 299.97/300.38 28687[0:Res:33.2,3828.0] || member(f1(u,v),w)* member(f1(u,v),x)* disjoint(intersection(x,w),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.38 28686[0:Res:120.1,3828.0] || member(f1(u,v),apply(w,x)) disjoint(second(f28(f1(u,v),w,x)),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.38 28959[0:Res:1155.2,3829.0] || member(u,infinity) member(infinity,v) -> equal(successor(u),w) member(f1(successor(u),w),w)* member(f1(successor(u),w),sigma(sigma(v)))*. % 299.97/300.38 28801[0:Res:3651.2,3829.0] || member(u,cross_product(v,universal_set)) member(u,w) -> equal(u,x) member(f1(u,x),x)* member(f1(u,x),sigma(restrict(w,v)))*. % 299.97/300.38 28800[0:Res:384.1,3829.0] little_set(u) || -> member(u,union(v,w)) equal(u,x) member(f1(u,x),x)* member(f1(u,x),sigma(intersection(complement(v),complement(w))))*. % 299.97/300.38 29818[0:Res:963.2,5019.1] || member(u,range_of(v)) subset(v,f4(w,x))* member(w,first(x)) equal(y,x)* -> member(f27(u,v),first(y))*. % 299.97/300.38 29816[0:Res:964.2,5019.1] || member(u,sigma(v)) subset(v,f4(w,x))* member(w,first(x)) equal(y,x)* -> member(f16(u,v),first(y))*. % 299.97/300.38 29814[0:Res:965.2,5019.1] || member(u,domain_of(v)) subset(v,f4(w,x))* member(w,first(x)) equal(y,x)* -> member(f8(u,v),first(y))*. % 299.97/300.38 29813[0:Res:281.1,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(x,intersection(y,f4(u,v))) member(f23(x,intersection(y,f4(u,v))),first(w))*. % 299.97/300.38 29809[0:Res:93.1,5019.1] || member(u,image(v,f4(w,x))) member(w,first(x)) equal(y,x) -> member(f22(u,v,f4(w,x)),first(y))*. % 299.97/300.38 29791[0:Res:118.1,5019.1] || member(u,apply(f4(v,w),x)) member(v,first(w)) equal(y,w) -> member(f28(u,f4(v,w),x),first(y))*. % 299.97/300.38 29784[0:Res:278.1,5019.1] || member(u,first(v)) equal(w,v) -> subset(intersection(x,f4(u,v)),y) member(f17(intersection(x,f4(u,v)),y),first(w))*. % 299.97/300.38 29781[0:Res:277.1,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(intersection(x,f4(u,v)),y) member(f23(intersection(x,f4(u,v)),y),first(w))*. % 299.97/300.38 29779[0:Res:289.1,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(x,intersection(f4(u,v),y)) member(f23(x,intersection(f4(u,v),y)),first(w))*. % 299.97/300.38 29756[0:Res:285.1,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(intersection(f4(u,v),x),y) member(f23(intersection(f4(u,v),x),y),first(w))*. % 299.97/300.38 29754[0:Res:286.1,5019.1] || member(u,first(v)) equal(w,v) -> subset(intersection(f4(u,v),x),y) member(f17(intersection(f4(u,v),x),y),first(w))*. % 299.97/300.38 30231[0:Res:963.2,5020.1] || member(u,range_of(v)) subset(v,f6(w,x))* member(w,second(x)) equal(y,x)* -> member(f27(u,v),first(y))*. % 299.97/300.38 30229[0:Res:964.2,5020.1] || member(u,sigma(v)) subset(v,f6(w,x))* member(w,second(x)) equal(y,x)* -> member(f16(u,v),first(y))*. % 299.97/300.38 30227[0:Res:965.2,5020.1] || member(u,domain_of(v)) subset(v,f6(w,x))* member(w,second(x)) equal(y,x)* -> member(f8(u,v),first(y))*. % 299.97/300.38 30226[0:Res:281.1,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(x,intersection(y,f6(u,v))) member(f23(x,intersection(y,f6(u,v))),first(w))*. % 299.97/300.38 30222[0:Res:93.1,5020.1] || member(u,image(v,f6(w,x))) member(w,second(x)) equal(y,x) -> member(f22(u,v,f6(w,x)),first(y))*. % 299.97/300.38 30204[0:Res:118.1,5020.1] || member(u,apply(f6(v,w),x)) member(v,second(w)) equal(y,w) -> member(f28(u,f6(v,w),x),first(y))*. % 299.97/300.38 30197[0:Res:278.1,5020.1] || member(u,second(v)) equal(w,v) -> subset(intersection(x,f6(u,v)),y) member(f17(intersection(x,f6(u,v)),y),first(w))*. % 299.97/300.38 30194[0:Res:277.1,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(intersection(x,f6(u,v)),y) member(f23(intersection(x,f6(u,v)),y),first(w))*. % 299.97/300.38 30192[0:Res:289.1,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(x,intersection(f6(u,v),y)) member(f23(x,intersection(f6(u,v),y)),first(w))*. % 299.97/300.38 30169[0:Res:285.1,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(intersection(f6(u,v),x),y) member(f23(intersection(f6(u,v),x),y),first(w))*. % 299.97/300.38 30167[0:Res:286.1,5020.1] || member(u,second(v)) equal(w,v) -> subset(intersection(f6(u,v),x),y) member(f17(intersection(f6(u,v),x),y),first(w))*. % 299.97/300.38 30342[0:Res:963.2,5022.1] || member(u,range_of(v)) subset(v,f9(w,x))* member(w,rotate_right(x)) equal(y,w)* -> member(f27(u,v),first(y))*. % 299.97/300.38 30340[0:Res:964.2,5022.1] || member(u,sigma(v)) subset(v,f9(w,x))* member(w,rotate_right(x)) equal(y,w)* -> member(f16(u,v),first(y))*. % 299.97/300.38 30338[0:Res:965.2,5022.1] || member(u,domain_of(v)) subset(v,f9(w,x))* member(w,rotate_right(x)) equal(y,w)* -> member(f8(u,v),first(y))*. % 299.97/300.38 30337[0:Res:281.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,intersection(y,f9(u,v))) member(f23(x,intersection(y,f9(u,v))),first(w))*. % 299.97/300.38 30333[0:Res:93.1,5022.1] || member(u,image(v,f9(w,x))) member(w,rotate_right(x)) equal(y,w) -> member(f22(u,v,f9(w,x)),first(y))*. % 299.97/300.38 30315[0:Res:118.1,5022.1] || member(u,apply(f9(v,w),x)) member(v,rotate_right(w)) equal(y,v) -> member(f28(u,f9(v,w),x),first(y))*. % 299.97/300.38 30308[0:Res:278.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> subset(intersection(x,f9(u,v)),y) member(f17(intersection(x,f9(u,v)),y),first(w))*. % 299.97/300.38 30305[0:Res:277.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(intersection(x,f9(u,v)),y) member(f23(intersection(x,f9(u,v)),y),first(w))*. % 299.97/300.38 30303[0:Res:289.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,intersection(f9(u,v),y)) member(f23(x,intersection(f9(u,v),y)),first(w))*. % 299.97/300.38 30280[0:Res:285.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(intersection(f9(u,v),x),y) member(f23(intersection(f9(u,v),x),y),first(w))*. % 299.97/300.38 30278[0:Res:286.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> subset(intersection(f9(u,v),x),y) member(f17(intersection(f9(u,v),x),y),first(w))*. % 299.97/300.38 30485[0:Res:963.2,5024.1] || member(u,range_of(v)) subset(v,f12(w,x))* member(w,flip_range_of(x)) equal(y,w)* -> member(f27(u,v),first(y))*. % 299.97/300.38 30483[0:Res:964.2,5024.1] || member(u,sigma(v)) subset(v,f12(w,x))* member(w,flip_range_of(x)) equal(y,w)* -> member(f16(u,v),first(y))*. % 299.97/300.38 30481[0:Res:965.2,5024.1] || member(u,domain_of(v)) subset(v,f12(w,x))* member(w,flip_range_of(x)) equal(y,w)* -> member(f8(u,v),first(y))*. % 299.97/300.38 30480[0:Res:281.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,intersection(y,f12(u,v))) member(f23(x,intersection(y,f12(u,v))),first(w))*. % 299.97/300.38 30476[0:Res:93.1,5024.1] || member(u,image(v,f12(w,x))) member(w,flip_range_of(x)) equal(y,w) -> member(f22(u,v,f12(w,x)),first(y))*. % 299.97/300.38 30458[0:Res:118.1,5024.1] || member(u,apply(f12(v,w),x)) member(v,flip_range_of(w)) equal(y,v) -> member(f28(u,f12(v,w),x),first(y))*. % 299.97/300.38 30451[0:Res:278.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(intersection(x,f12(u,v)),y) member(f17(intersection(x,f12(u,v)),y),first(w))*. % 299.97/300.38 30448[0:Res:277.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(intersection(x,f12(u,v)),y) member(f23(intersection(x,f12(u,v)),y),first(w))*. % 299.97/300.38 30446[0:Res:289.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,intersection(f12(u,v),y)) member(f23(x,intersection(f12(u,v),y)),first(w))*. % 299.97/300.38 30423[0:Res:285.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(intersection(f12(u,v),x),y) member(f23(intersection(f12(u,v),x),y),first(w))*. % 299.97/300.38 30421[0:Res:286.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(intersection(f12(u,v),x),y) member(f17(intersection(f12(u,v),x),y),first(w))*. % 299.97/300.38 30638[0:Res:963.2,5064.1] || member(u,range_of(v)) subset(v,f5(w,x))* member(w,first(x)) equal(y,x)* -> member(f27(u,v),second(y))*. % 299.97/300.38 30636[0:Res:964.2,5064.1] || member(u,sigma(v)) subset(v,f5(w,x))* member(w,first(x)) equal(y,x)* -> member(f16(u,v),second(y))*. % 299.97/300.38 30634[0:Res:965.2,5064.1] || member(u,domain_of(v)) subset(v,f5(w,x))* member(w,first(x)) equal(y,x)* -> member(f8(u,v),second(y))*. % 299.97/300.38 30633[0:Res:281.1,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(x,intersection(y,f5(u,v))) member(f23(x,intersection(y,f5(u,v))),second(w))*. % 299.97/300.38 30629[0:Res:93.1,5064.1] || member(u,image(v,f5(w,x))) member(w,first(x)) equal(y,x) -> member(f22(u,v,f5(w,x)),second(y))*. % 299.97/300.38 30611[0:Res:118.1,5064.1] || member(u,apply(f5(v,w),x)) member(v,first(w)) equal(y,w) -> member(f28(u,f5(v,w),x),second(y))*. % 299.97/300.38 30604[0:Res:278.1,5064.1] || member(u,first(v)) equal(w,v) -> subset(intersection(x,f5(u,v)),y) member(f17(intersection(x,f5(u,v)),y),second(w))*. % 299.97/300.38 30601[0:Res:277.1,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(intersection(x,f5(u,v)),y) member(f23(intersection(x,f5(u,v)),y),second(w))*. % 299.97/300.38 30599[0:Res:289.1,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(x,intersection(f5(u,v),y)) member(f23(x,intersection(f5(u,v),y)),second(w))*. % 299.97/300.38 30576[0:Res:285.1,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(intersection(f5(u,v),x),y) member(f23(intersection(f5(u,v),x),y),second(w))*. % 299.97/300.38 30574[0:Res:286.1,5064.1] || member(u,first(v)) equal(w,v) -> subset(intersection(f5(u,v),x),y) member(f17(intersection(f5(u,v),x),y),second(w))*. % 299.97/300.38 30795[0:Res:963.2,5065.1] || member(u,range_of(v)) subset(v,f7(w,x))* member(w,second(x)) equal(y,x)* -> member(f27(u,v),second(y))*. % 299.97/300.38 30793[0:Res:964.2,5065.1] || member(u,sigma(v)) subset(v,f7(w,x))* member(w,second(x)) equal(y,x)* -> member(f16(u,v),second(y))*. % 299.97/300.38 30791[0:Res:965.2,5065.1] || member(u,domain_of(v)) subset(v,f7(w,x))* member(w,second(x)) equal(y,x)* -> member(f8(u,v),second(y))*. % 299.97/300.38 30790[0:Res:281.1,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(x,intersection(y,f7(u,v))) member(f23(x,intersection(y,f7(u,v))),second(w))*. % 299.97/300.38 30786[0:Res:93.1,5065.1] || member(u,image(v,f7(w,x))) member(w,second(x)) equal(y,x) -> member(f22(u,v,f7(w,x)),second(y))*. % 299.97/300.38 30768[0:Res:118.1,5065.1] || member(u,apply(f7(v,w),x)) member(v,second(w)) equal(y,w) -> member(f28(u,f7(v,w),x),second(y))*. % 299.97/300.38 30761[0:Res:278.1,5065.1] || member(u,second(v)) equal(w,v) -> subset(intersection(x,f7(u,v)),y) member(f17(intersection(x,f7(u,v)),y),second(w))*. % 299.97/300.38 30758[0:Res:277.1,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(intersection(x,f7(u,v)),y) member(f23(intersection(x,f7(u,v)),y),second(w))*. % 299.97/300.38 30756[0:Res:289.1,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(x,intersection(f7(u,v),y)) member(f23(x,intersection(f7(u,v),y)),second(w))*. % 299.97/300.38 30733[0:Res:285.1,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(intersection(f7(u,v),x),y) member(f23(intersection(f7(u,v),x),y),second(w))*. % 299.97/300.38 30731[0:Res:286.1,5065.1] || member(u,second(v)) equal(w,v) -> subset(intersection(f7(u,v),x),y) member(f17(intersection(f7(u,v),x),y),second(w))*. % 299.97/300.38 31402[0:Res:3824.2,43.0] || -> equal(u,intersection(cross_product(v,w),x)) member(f1(u,intersection(cross_product(v,w),x)),u)* member(second(f1(u,intersection(cross_product(v,w),x))),w)*. % 299.97/300.38 31401[0:Res:3824.2,42.0] || -> equal(u,intersection(cross_product(v,w),x)) member(f1(u,intersection(cross_product(v,w),x)),u)* member(first(f1(u,intersection(cross_product(v,w),x))),v)*. % 299.97/300.38 31344[0:Res:3824.1,43.0] || -> equal(cross_product(u,v),intersection(w,x)) member(f1(cross_product(u,v),intersection(w,x)),w)* member(second(f1(cross_product(u,v),intersection(w,x))),v)*. % 299.97/300.38 31343[0:Res:3824.1,42.0] || -> equal(cross_product(u,v),intersection(w,x)) member(f1(cross_product(u,v),intersection(w,x)),w)* member(first(f1(cross_product(u,v),intersection(w,x))),u)*. % 299.97/300.38 31612[0:Res:3825.2,43.0] || -> equal(u,intersection(v,cross_product(w,x))) member(f1(u,intersection(v,cross_product(w,x))),u)* member(second(f1(u,intersection(v,cross_product(w,x)))),x)*. % 299.97/300.38 31611[0:Res:3825.2,42.0] || -> equal(u,intersection(v,cross_product(w,x))) member(f1(u,intersection(v,cross_product(w,x))),u)* member(first(f1(u,intersection(v,cross_product(w,x)))),w)*. % 299.97/300.38 31554[0:Res:3825.1,43.0] || -> equal(cross_product(u,v),intersection(w,x)) member(f1(cross_product(u,v),intersection(w,x)),x)* member(second(f1(cross_product(u,v),intersection(w,x))),v)*. % 299.97/300.38 31553[0:Res:3825.1,42.0] || -> equal(cross_product(u,v),intersection(w,x)) member(f1(cross_product(u,v),intersection(w,x)),x)* member(first(f1(cross_product(u,v),intersection(w,x))),u)*. % 299.97/300.38 31795[0:Res:3842.2,43.0] || -> equal(intersection(cross_product(u,v),w),x) member(f1(intersection(cross_product(u,v),w),x),x)* member(second(f1(intersection(cross_product(u,v),w),x)),v)*. % 299.97/300.38 31794[0:Res:3842.2,42.0] || -> equal(intersection(cross_product(u,v),w),x) member(f1(intersection(cross_product(u,v),w),x),x)* member(first(f1(intersection(cross_product(u,v),w),x)),u)*. % 299.97/300.38 31737[0:Res:3842.1,43.0] || -> equal(intersection(u,v),cross_product(w,x)) member(f1(intersection(u,v),cross_product(w,x)),u)* member(second(f1(intersection(u,v),cross_product(w,x))),x)*. % 299.97/300.38 31736[0:Res:3842.1,42.0] || -> equal(intersection(u,v),cross_product(w,x)) member(f1(intersection(u,v),cross_product(w,x)),u)* member(first(f1(intersection(u,v),cross_product(w,x))),w)*. % 299.97/300.38 31976[0:Res:3843.2,43.0] || -> equal(intersection(u,cross_product(v,w)),x) member(f1(intersection(u,cross_product(v,w)),x),x)* member(second(f1(intersection(u,cross_product(v,w)),x)),w)*. % 299.97/300.38 31975[0:Res:3843.2,42.0] || -> equal(intersection(u,cross_product(v,w)),x) member(f1(intersection(u,cross_product(v,w)),x),x)* member(first(f1(intersection(u,cross_product(v,w)),x)),v)*. % 299.97/300.38 31918[0:Res:3843.1,43.0] || -> equal(intersection(u,v),cross_product(w,x)) member(f1(intersection(u,v),cross_product(w,x)),v)* member(second(f1(intersection(u,v),cross_product(w,x))),x)*. % 299.97/300.38 31917[0:Res:3843.1,42.0] || -> equal(intersection(u,v),cross_product(w,x)) member(f1(intersection(u,v),cross_product(w,x)),v)* member(first(f1(intersection(u,v),cross_product(w,x))),w)*. % 299.97/300.38 32829[0:Res:3836.2,282.0] || -> equal(cross_product(u,restrict(v,w)),x) member(f1(cross_product(u,restrict(v,w)),x),x)* member(second(f1(cross_product(u,restrict(v,w)),x)),v)*. % 299.97/300.38 32827[0:Res:3836.2,15955.0] || -> equal(cross_product(u,sigma(powerset(v))),w) member(f1(cross_product(u,sigma(powerset(v))),w),w)* member(second(f1(cross_product(u,sigma(powerset(v))),w)),v)*. % 299.97/300.38 32823[0:Res:3836.2,32.0] || -> equal(cross_product(u,intersection(v,w)),x) member(f1(cross_product(u,intersection(v,w)),x),x)* member(second(f1(cross_product(u,intersection(v,w)),x)),w)*. % 299.97/300.38 32822[0:Res:3836.2,31.0] || -> equal(cross_product(u,intersection(v,w)),x) member(f1(cross_product(u,intersection(v,w)),x),x)* member(second(f1(cross_product(u,intersection(v,w)),x)),v)*. % 299.97/300.38 32815[0:Res:3836.2,10964.0] || -> equal(cross_product(u,complement(complement(v))),w) member(f1(cross_product(u,complement(complement(v))),w),w)* member(second(f1(cross_product(u,complement(complement(v))),w)),v)*. % 299.97/300.38 32801[0:Res:3836.2,4578.0] || equal(u,second(f1(cross_product(v,rotate_right(w)),x)))* -> equal(cross_product(v,rotate_right(w)),x) member(f1(cross_product(v,rotate_right(w)),x),x)* ordered_pair_predicate(u)*. % 299.97/300.38 32799[0:Res:3836.2,4549.0] || equal(u,second(f1(cross_product(v,flip_range_of(w)),x)))* -> equal(cross_product(v,flip_range_of(w)),x) member(f1(cross_product(v,flip_range_of(w)),x),x)* ordered_pair_predicate(u)*. % 299.97/300.38 32771[0:Res:3836.1,282.0] || -> equal(cross_product(u,v),restrict(w,x)) member(second(f1(cross_product(u,v),restrict(w,x))),v)* member(f1(cross_product(u,v),restrict(w,x)),w)*. % 299.97/300.38 32769[0:Res:3836.1,15955.0] || -> equal(cross_product(u,v),sigma(powerset(w))) member(second(f1(cross_product(u,v),sigma(powerset(w)))),v)* member(f1(cross_product(u,v),sigma(powerset(w))),w)*. % 299.97/300.38 32757[0:Res:3836.1,10964.0] || -> equal(cross_product(u,v),complement(complement(w))) member(second(f1(cross_product(u,v),complement(complement(w)))),v)* member(f1(cross_product(u,v),complement(complement(w))),w)*. % 299.97/300.38 32994[0:Res:3835.2,282.0] || -> equal(cross_product(restrict(u,v),w),x) member(f1(cross_product(restrict(u,v),w),x),x)* member(first(f1(cross_product(restrict(u,v),w),x)),u)*. % 299.97/300.38 32992[0:Res:3835.2,15955.0] || -> equal(cross_product(sigma(powerset(u)),v),w) member(f1(cross_product(sigma(powerset(u)),v),w),w)* member(first(f1(cross_product(sigma(powerset(u)),v),w)),u)*. % 299.97/300.38 32988[0:Res:3835.2,32.0] || -> equal(cross_product(intersection(u,v),w),x) member(f1(cross_product(intersection(u,v),w),x),x)* member(first(f1(cross_product(intersection(u,v),w),x)),v)*. % 299.97/300.38 32987[0:Res:3835.2,31.0] || -> equal(cross_product(intersection(u,v),w),x) member(f1(cross_product(intersection(u,v),w),x),x)* member(first(f1(cross_product(intersection(u,v),w),x)),u)*. % 299.97/300.38 32980[0:Res:3835.2,10964.0] || -> equal(cross_product(complement(complement(u)),v),w) member(f1(cross_product(complement(complement(u)),v),w),w)* member(first(f1(cross_product(complement(complement(u)),v),w)),u)*. % 299.97/300.38 32966[0:Res:3835.2,4578.0] || equal(u,first(f1(cross_product(rotate_right(v),w),x)))* -> equal(cross_product(rotate_right(v),w),x) member(f1(cross_product(rotate_right(v),w),x),x)* ordered_pair_predicate(u)*. % 299.97/300.38 32964[0:Res:3835.2,4549.0] || equal(u,first(f1(cross_product(flip_range_of(v),w),x)))* -> equal(cross_product(flip_range_of(v),w),x) member(f1(cross_product(flip_range_of(v),w),x),x)* ordered_pair_predicate(u)*. % 299.97/300.38 32936[0:Res:3835.1,282.0] || -> equal(cross_product(u,v),restrict(w,x)) member(first(f1(cross_product(u,v),restrict(w,x))),u)* member(f1(cross_product(u,v),restrict(w,x)),w)*. % 299.97/300.38 32934[0:Res:3835.1,15955.0] || -> equal(cross_product(u,v),sigma(powerset(w))) member(first(f1(cross_product(u,v),sigma(powerset(w)))),u)* member(f1(cross_product(u,v),sigma(powerset(w))),w)*. % 299.97/300.38 32922[0:Res:3835.1,10964.0] || -> equal(cross_product(u,v),complement(complement(w))) member(first(f1(cross_product(u,v),complement(complement(w)))),u)* member(f1(cross_product(u,v),complement(complement(w))),w)*. % 299.97/300.38 33165[0:Res:3818.2,282.0] || -> equal(u,cross_product(v,restrict(w,x))) member(f1(u,cross_product(v,restrict(w,x))),u)* member(second(f1(u,cross_product(v,restrict(w,x)))),w)*. % 299.97/300.38 33163[0:Res:3818.2,15955.0] || -> equal(u,cross_product(v,sigma(powerset(w)))) member(f1(u,cross_product(v,sigma(powerset(w)))),u)* member(second(f1(u,cross_product(v,sigma(powerset(w))))),w)*. % 299.97/300.38 33159[0:Res:3818.2,32.0] || -> equal(u,cross_product(v,intersection(w,x))) member(f1(u,cross_product(v,intersection(w,x))),u)* member(second(f1(u,cross_product(v,intersection(w,x)))),x)*. % 299.97/300.38 33158[0:Res:3818.2,31.0] || -> equal(u,cross_product(v,intersection(w,x))) member(f1(u,cross_product(v,intersection(w,x))),u)* member(second(f1(u,cross_product(v,intersection(w,x)))),w)*. % 299.97/300.38 33151[0:Res:3818.2,10964.0] || -> equal(u,cross_product(v,complement(complement(w)))) member(f1(u,cross_product(v,complement(complement(w)))),u)* member(second(f1(u,cross_product(v,complement(complement(w))))),w)*. % 299.97/300.38 33137[0:Res:3818.2,4578.0] || equal(u,second(f1(v,cross_product(w,rotate_right(x)))))* -> equal(v,cross_product(w,rotate_right(x))) member(f1(v,cross_product(w,rotate_right(x))),v)* ordered_pair_predicate(u)*. % 299.97/300.38 33135[0:Res:3818.2,4549.0] || equal(u,second(f1(v,cross_product(w,flip_range_of(x)))))* -> equal(v,cross_product(w,flip_range_of(x))) member(f1(v,cross_product(w,flip_range_of(x))),v)* ordered_pair_predicate(u)*. % 299.97/300.38 33107[0:Res:3818.1,282.0] || -> equal(restrict(u,v),cross_product(w,x)) member(second(f1(restrict(u,v),cross_product(w,x))),x)* member(f1(restrict(u,v),cross_product(w,x)),u)*. % 299.97/300.38 33105[0:Res:3818.1,15955.0] || -> equal(sigma(powerset(u)),cross_product(v,w)) member(second(f1(sigma(powerset(u)),cross_product(v,w))),w)* member(f1(sigma(powerset(u)),cross_product(v,w)),u)*. % 299.97/300.38 33093[0:Res:3818.1,10964.0] || -> equal(complement(complement(u)),cross_product(v,w)) member(second(f1(complement(complement(u)),cross_product(v,w))),w)* member(f1(complement(complement(u)),cross_product(v,w)),u)*. % 299.97/300.38 33331[0:Res:3817.2,282.0] || -> equal(u,cross_product(restrict(v,w),x)) member(f1(u,cross_product(restrict(v,w),x)),u)* member(first(f1(u,cross_product(restrict(v,w),x))),v)*. % 299.97/300.38 33329[0:Res:3817.2,15955.0] || -> equal(u,cross_product(sigma(powerset(v)),w)) member(f1(u,cross_product(sigma(powerset(v)),w)),u)* member(first(f1(u,cross_product(sigma(powerset(v)),w))),v)*. % 299.97/300.38 33325[0:Res:3817.2,32.0] || -> equal(u,cross_product(intersection(v,w),x)) member(f1(u,cross_product(intersection(v,w),x)),u)* member(first(f1(u,cross_product(intersection(v,w),x))),w)*. % 299.97/300.38 33324[0:Res:3817.2,31.0] || -> equal(u,cross_product(intersection(v,w),x)) member(f1(u,cross_product(intersection(v,w),x)),u)* member(first(f1(u,cross_product(intersection(v,w),x))),v)*. % 299.97/300.38 33317[0:Res:3817.2,10964.0] || -> equal(u,cross_product(complement(complement(v)),w)) member(f1(u,cross_product(complement(complement(v)),w)),u)* member(first(f1(u,cross_product(complement(complement(v)),w))),v)*. % 299.97/300.38 33303[0:Res:3817.2,4578.0] || equal(u,first(f1(v,cross_product(rotate_right(w),x))))* -> equal(v,cross_product(rotate_right(w),x)) member(f1(v,cross_product(rotate_right(w),x)),v)* ordered_pair_predicate(u)*. % 299.97/300.38 33301[0:Res:3817.2,4549.0] || equal(u,first(f1(v,cross_product(flip_range_of(w),x))))* -> equal(v,cross_product(flip_range_of(w),x)) member(f1(v,cross_product(flip_range_of(w),x)),v)* ordered_pair_predicate(u)*. % 299.97/300.38 33273[0:Res:3817.1,282.0] || -> equal(restrict(u,v),cross_product(w,x)) member(first(f1(restrict(u,v),cross_product(w,x))),w)* member(f1(restrict(u,v),cross_product(w,x)),u)*. % 299.97/300.38 33271[0:Res:3817.1,15955.0] || -> equal(sigma(powerset(u)),cross_product(v,w)) member(first(f1(sigma(powerset(u)),cross_product(v,w))),v)* member(f1(sigma(powerset(u)),cross_product(v,w)),u)*. % 299.97/300.38 33259[0:Res:3817.1,10964.0] || -> equal(complement(complement(u)),cross_product(v,w)) member(first(f1(complement(complement(u)),cross_product(v,w))),v)* member(f1(complement(complement(u)),cross_product(v,w)),u)*. % 299.97/300.38 33552[7:Res:26830.1,1441.0] || disjoint(universal_set,complement(converse(non_ordered_pair(u,v))))* -> equal(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)* equal(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u)*. % 299.97/300.38 33551[7:Res:26831.1,1441.0] || disjoint(complement(converse(non_ordered_pair(u,v))),universal_set)* -> equal(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)* equal(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u)*. % 299.97/300.38 33550[7:Res:33376.1,1441.0] || member(universal_set,powerset(converse(non_ordered_pair(u,v))))* -> equal(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),v)* equal(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u)*. % 299.97/300.38 33738[3:SSi:33723.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f2(x),u),singleton_set(v))* member(x,ordered_pair(v,w))* -> equal(u,f3(x)). % 299.97/300.38 33962[3:Res:6202.3,68.0] || member(u,v)* equal(first(u),w)* member(apply(v,w),x)* -> disjoint(y,second(u)) member(f23(y,second(u)),sigma(x))*. % 299.97/300.38 33961[3:Res:6202.3,98.0] || member(u,v)* equal(first(u),w)* member(f23(x,second(u)),y)* disjoint(y,apply(v,w))* -> disjoint(x,second(u)). % 299.97/300.38 34108[3:Res:6205.3,68.0] || member(u,v)* equal(first(u),w)* member(apply(v,w),x)* -> disjoint(second(u),y) member(f23(second(u),y),sigma(x))*. % 299.97/300.38 34107[3:Res:6205.3,98.0] || member(u,v)* equal(first(u),w)* member(f23(second(u),x),y)* disjoint(y,apply(v,w))* -> disjoint(second(u),x). % 299.97/300.38 34183[3:Res:6206.3,68.0] || member(u,v)* equal(first(u),w)* member(apply(v,w),x)* -> subset(second(u),y) member(f17(second(u),y),sigma(x))*. % 299.97/300.38 34182[3:Res:6206.3,98.0] || member(u,v)* equal(first(u),w)* member(f17(second(u),x),y)* disjoint(y,apply(v,w))* -> subset(second(u),x). % 299.97/300.38 34524[0:Res:1155.2,1438.0] || member(u,infinity) member(infinity,non_ordered_pair(v,w)) -> equal(f16(successor(u),non_ordered_pair(v,w)),w)** equal(f16(successor(u),non_ordered_pair(v,w)),v)**. % 299.97/300.38 35087[0:Res:46.1,5025.1] || member(u,converse(f29(v,w,x)))* member(v,compose(w,x)) equal(y,v)* -> member(ordered_pair(second(u),first(u)),first(y))*. % 299.97/300.38 35061[0:Res:960.2,5025.1] || member(u,infinity) subset(infinity,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> member(successor(u),first(y))*. % 299.97/300.38 35039[0:Res:955.2,5025.1] || subset(u,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> subset(u,z) member(f17(u,z),first(y))*. % 299.97/300.38 35036[0:Res:961.2,5025.1] || subset(u,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> disjoint(z,u) member(f23(z,u),first(y))*. % 299.97/300.38 35034[0:Res:954.2,5025.1] || subset(u,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> disjoint(u,z) member(f23(u,z),first(y))*. % 299.97/300.38 35257[0:Res:46.1,5066.1] || member(u,converse(f30(v,w,x)))* member(v,compose(w,x)) equal(y,v)* -> member(ordered_pair(second(u),first(u)),second(y))*. % 299.97/300.38 35231[0:Res:960.2,5066.1] || member(u,infinity) subset(infinity,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> member(successor(u),second(y))*. % 299.97/300.38 35209[0:Res:955.2,5066.1] || subset(u,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> subset(u,z) member(f17(u,z),second(y))*. % 299.97/300.38 35206[0:Res:961.2,5066.1] || subset(u,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> disjoint(z,u) member(f23(z,u),second(y))*. % 299.97/300.38 35204[0:Res:954.2,5066.1] || subset(u,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> disjoint(u,z) member(f23(u,z),second(y))*. % 299.97/300.38 35329[0:Res:4273.2,4238.0] || member(u,compose(v,w)) subset(w,compose(x,y))* equal(z,ordered_pair(f31(u,v,w),f30(u,v,w)))* -> ordered_pair_predicate(z)*. % 299.97/300.38 35318[0:Res:4273.2,68.0] || member(u,compose(v,w)) subset(w,x)* member(x,y)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),sigma(y))*. % 299.97/300.38 35317[0:Res:4273.2,98.0] || member(u,compose(v,w)) subset(w,x)* member(ordered_pair(f31(u,v,w),f30(u,v,w)),y)* disjoint(y,x)* -> . % 299.97/300.38 35449[0:Res:4348.2,4238.0] || member(u,compose(v,w)) subset(v,compose(x,y))* equal(z,ordered_pair(f29(u,v,w),f31(u,v,w)))* -> ordered_pair_predicate(z)*. % 299.97/300.38 35438[0:Res:4348.2,68.0] || member(u,compose(v,w)) subset(v,x)* member(x,y)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),sigma(y))*. % 299.97/300.38 35437[0:Res:4348.2,98.0] || member(u,compose(v,w)) subset(v,x)* member(ordered_pair(f29(u,v,w),f31(u,v,w)),y)* disjoint(y,x)* -> . % 299.97/300.38 35546[0:Res:4112.2,70.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),sigma(v)) subset(converse(f16(ordered_pair(second(u),first(u)),v)),w)* -> member(u,w). % 299.97/300.38 35705[0:Res:4111.2,70.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),first(v)) subset(converse(f4(ordered_pair(second(u),first(u)),v)),w)* -> member(u,w). % 299.97/300.38 35924[0:Res:4110.2,70.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),second(v)) subset(converse(f7(ordered_pair(second(u),first(u)),v)),w)* -> member(u,w). % 299.97/300.38 36366[0:MRR:36345.0,487.1] little_set(u) || equal(f8(v,w),non_ordered_pair(x,y))* member(v,domain_of(w))* equal(u,v)* -> member(u,domain_of(ordered_pair(x,y)))*. % 299.97/300.38 36527[0:MRR:36506.0,420.1] little_set(u) || equal(f27(v,w),non_ordered_pair(x,y))* member(v,range_of(w))* equal(u,v)* -> member(u,range_of(ordered_pair(x,y)))*. % 299.97/300.38 36593[0:Res:4622.2,1354.0] || member(u,flip_range_of(v)) subset(v,image(w,cross_product(x,y)))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),y)*. % 299.97/300.38 36588[0:Res:4622.2,274.0] || member(u,flip_range_of(v)) subset(v,restrict(w,x))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),cross_product(x,universal_set))*. % 299.97/300.38 36556[0:Res:4622.2,4578.0] || member(u,flip_range_of(v)) subset(v,rotate_right(w))* equal(x,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))* -> ordered_pair_predicate(x)*. % 299.97/300.38 36554[0:Res:4622.2,4549.0] || member(u,flip_range_of(v)) subset(v,flip_range_of(w))* equal(x,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))* -> ordered_pair_predicate(x)*. % 299.97/300.38 36547[0:Res:4622.2,70.0] || member(u,flip_range_of(v)) subset(v,w)* subset(w,x)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)*. % 299.97/300.38 37021[0:Res:4770.2,1354.0] || member(u,rotate_right(v)) subset(v,image(w,cross_product(x,y)))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),y)*. % 299.97/300.38 37016[0:Res:4770.2,274.0] || member(u,rotate_right(v)) subset(v,restrict(w,x))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),cross_product(x,universal_set))*. % 299.97/300.38 36984[0:Res:4770.2,4578.0] || member(u,rotate_right(v)) subset(v,rotate_right(w))* equal(x,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))* -> ordered_pair_predicate(x)*. % 299.97/300.38 36982[0:Res:4770.2,4549.0] || member(u,rotate_right(v)) subset(v,flip_range_of(w))* equal(x,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))* -> ordered_pair_predicate(x)*. % 299.97/300.38 36975[0:Res:4770.2,70.0] || member(u,rotate_right(v)) subset(v,w)* subset(w,x)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)*. % 299.97/300.38 37750[0:Res:4272.2,70.0] || member(u,compose(v,w)) member(w,x)* subset(sigma(x),y)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),y)*. % 299.97/300.38 38169[0:SSi:38152.0,371.0] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y))* member(u,compose(v,w)) disjoint(ordered_pair(x,y),w)* -> . % 299.97/300.38 38221[0:Res:4347.2,70.0] || member(u,compose(v,w)) member(v,x)* subset(sigma(x),y)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),y)*. % 299.97/300.38 38288[0:SSi:38271.0,371.0] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y))* member(u,compose(v,w)) disjoint(ordered_pair(x,y),v)* -> . % 299.97/300.38 38402[0:MRR:38381.0,1275.1] || equal(f28(u,v,w),non_ordered_pair(x,y))* member(u,apply(v,w))* equal(w,z)* -> member(u,apply(ordered_pair(x,y),z))*. % 299.97/300.38 38653[3:SpR:587.0,6210.3] || member(u,v) equal(first(u),singleton_set(singleton_set(w))) -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f20(second(u))),apply_to_two_arguments(v,w,w))*. % 299.97/300.38 38652[3:SpR:122.0,6210.3] || member(u,v) equal(first(u),ordered_pair(w,x)) -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f20(second(u))),apply_to_two_arguments(v,w,x))*. % 299.97/300.38 38723[3:SpR:587.0,6211.3] || member(u,v) equal(first(u),singleton_set(singleton_set(w))) -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f21(second(u))),apply_to_two_arguments(v,w,w))*. % 299.97/300.38 38722[3:SpR:122.0,6211.3] || member(u,v) equal(first(u),ordered_pair(w,x)) -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f21(second(u))),apply_to_two_arguments(v,w,x))*. % 299.97/300.38 38901[3:SpR:587.0,6207.3] || member(u,range_of(second(v))) member(v,w) equal(first(v),singleton_set(singleton_set(x))) -> member(f27(u,second(v)),apply_to_two_arguments(w,x,x))*. % 299.97/300.38 38900[3:SpR:122.0,6207.3] || member(u,range_of(second(v))) member(v,w) equal(first(v),ordered_pair(x,y)) -> member(f27(u,second(v)),apply_to_two_arguments(w,x,y))*. % 299.97/300.38 38996[3:SpR:587.0,6208.3] || member(u,sigma(second(v))) member(v,w) equal(first(v),singleton_set(singleton_set(x))) -> member(f16(u,second(v)),apply_to_two_arguments(w,x,x))*. % 299.97/300.38 38995[3:SpR:122.0,6208.3] || member(u,sigma(second(v))) member(v,w) equal(first(v),ordered_pair(x,y)) -> member(f16(u,second(v)),apply_to_two_arguments(w,x,y))*. % 299.97/300.38 39071[3:SpR:587.0,6209.3] || member(u,domain_of(second(v))) member(v,w) equal(first(v),singleton_set(singleton_set(x))) -> member(f8(u,second(v)),apply_to_two_arguments(w,x,x))*. % 299.97/300.38 39070[3:SpR:122.0,6209.3] || member(u,domain_of(second(v))) member(v,w) equal(first(v),ordered_pair(x,y)) -> member(f8(u,second(v)),apply_to_two_arguments(w,x,y))*. % 299.97/300.38 39238[0:SSi:39220.0,371.0,371.0] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),singleton_set(w))* member(u,flip_range_of(v)) disjoint(ordered_pair(w,x),v)* -> . % 299.97/300.38 39758[0:SSi:39740.0,371.0,371.0] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),singleton_set(w))* member(u,rotate_right(v)) disjoint(ordered_pair(w,x),v)* -> . % 299.97/300.38 40164[0:Res:1080.2,5068.1] little_set(u) || equal(u,non_ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> member(u,second(x))*. % 299.97/300.38 40344[0:Res:1080.2,5070.1] little_set(u) || equal(u,non_ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> member(u,second(x))*. % 299.97/300.38 40549[3:Rew:1431.1,40548.1] || member(second(u),v) member(first(u),w) -> equal(f17(non_ordered_pair(x,u),cross_product(w,v)),x)** subset(non_ordered_pair(x,u),cross_product(w,v)). % 299.97/300.38 40551[3:Rew:1431.2,40550.1] || member(second(u),v) member(first(u),w) -> equal(f17(non_ordered_pair(u,x),cross_product(w,v)),x)** subset(non_ordered_pair(u,x),cross_product(w,v)). % 299.97/300.38 40642[2:Res:25246.0,1020.0] || -> equal(complement(converse(intersection(u,v))),universal_set) member(ordered_pair(second(f1(universal_set,complement(converse(intersection(u,v))))),first(f1(universal_set,complement(converse(intersection(u,v)))))),u)*. % 299.97/300.38 40641[2:Res:25246.0,1021.0] || -> equal(complement(converse(intersection(u,v))),universal_set) member(ordered_pair(second(f1(universal_set,complement(converse(intersection(u,v))))),first(f1(universal_set,complement(converse(intersection(u,v)))))),v)*. % 299.97/300.38 40741[0:Res:1468.2,547.0] || member(u,image(v,w)) member(f22(u,v,w),converse(range_of(cross_product(x,y))))* -> member(ordered_pair(u,first(f22(u,v,w))),y)*. % 299.97/300.38 40738[0:Res:1468.2,560.0] || member(u,image(v,w)) member(f22(u,v,w),converse(domain_of(cross_product(x,y))))* -> member(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.38 40715[0:Res:1468.2,43.0] || member(u,image(v,w)) member(f22(u,v,w),converse(cross_product(x,y)))* -> member(second(ordered_pair(u,first(f22(u,v,w)))),y)*. % 299.97/300.38 40714[0:Res:1468.2,42.0] || member(u,image(v,w)) member(f22(u,v,w),converse(cross_product(x,y)))* -> member(first(ordered_pair(u,first(f22(u,v,w)))),x)*. % 299.97/300.38 40887[0:Res:1464.2,547.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(range_of(cross_product(x,y))))* -> member(ordered_pair(second(f28(u,v,w)),w),y)*. % 299.97/300.38 40884[0:Res:1464.2,560.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(domain_of(cross_product(x,y))))* -> member(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.38 40861[0:Res:1464.2,43.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(cross_product(x,y)))* -> member(second(ordered_pair(second(f28(u,v,w)),w)),y)*. % 299.97/300.38 40860[0:Res:1464.2,42.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(cross_product(x,y)))* -> member(first(ordered_pair(second(f28(u,v,w)),w)),x)*. % 299.97/300.38 41000[0:SSi:40991.0,371.0] || equal(ordered_pair(u,first(f22(u,v,w))),singleton_set(x))* member(u,image(v,w)) -> member(f22(u,v,w),converse(ordered_pair(x,y)))*. % 299.97/300.38 41097[0:SSi:41088.0,371.0] || equal(ordered_pair(second(f28(u,v,w)),w),singleton_set(x))* member(u,apply(v,w)) -> member(f28(u,v,w),converse(ordered_pair(x,y)))*. % 299.97/300.38 41233[0:Res:4286.1,1444.0] || member(u,compose(v,intersection(w,singleton_set(x)))) -> equal(ordered_pair(f31(u,v,intersection(w,singleton_set(x))),f30(u,v,intersection(w,singleton_set(x)))),x)**. % 299.97/300.38 41232[0:Res:4286.1,76.0] || member(u,compose(v,intersection(w,powerset(x)))) -> subset(ordered_pair(f31(u,v,intersection(w,powerset(x))),f30(u,v,intersection(w,powerset(x)))),x)*. % 299.97/300.38 41472[0:Res:4285.1,1444.0] || member(u,compose(v,intersection(singleton_set(w),x))) -> equal(ordered_pair(f31(u,v,intersection(singleton_set(w),x)),f30(u,v,intersection(singleton_set(w),x))),w)**. % 299.97/300.38 41471[0:Res:4285.1,76.0] || member(u,compose(v,intersection(powerset(w),x))) -> subset(ordered_pair(f31(u,v,intersection(powerset(w),x)),f30(u,v,intersection(powerset(w),x))),w)*. % 299.97/300.38 41610[0:Res:4361.1,1444.0] || member(u,compose(intersection(v,singleton_set(w)),x)) -> equal(ordered_pair(f29(u,intersection(v,singleton_set(w)),x),f31(u,intersection(v,singleton_set(w)),x)),w)**. % 299.97/300.38 41609[0:Res:4361.1,76.0] || member(u,compose(intersection(v,powerset(w)),x)) -> subset(ordered_pair(f29(u,intersection(v,powerset(w)),x),f31(u,intersection(v,powerset(w)),x)),w)*. % 299.97/300.38 41732[0:Res:4360.1,1444.0] || member(u,compose(intersection(singleton_set(v),w),x)) -> equal(ordered_pair(f29(u,intersection(singleton_set(v),w),x),f31(u,intersection(singleton_set(v),w),x)),v)**. % 299.97/300.38 41731[0:Res:4360.1,76.0] || member(u,compose(intersection(powerset(v),w),x)) -> subset(ordered_pair(f29(u,intersection(powerset(v),w),x),f31(u,intersection(powerset(v),w),x)),v)*. % 299.97/300.38 41988[7:Res:26333.1,6212.0] || subset(universal_set,converse(second(u)))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),apply(v,w))*. % 299.97/300.38 42211[0:MRR:42172.0,1275.1] little_set(u) || equal(f28(v,w,x),y)* member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(non_ordered_pair(z,y)))*. % 299.97/300.38 42212[0:MRR:42171.0,1275.1] little_set(u) || equal(f28(v,w,x),y)* member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(non_ordered_pair(y,z)))*. % 299.97/300.38 42287[0:MRR:42248.0,1340.1] little_set(u) || equal(f22(v,w,x),y)* member(v,image(w,x))* equal(u,v)* -> member(u,range_of(non_ordered_pair(z,y)))*. % 299.97/300.38 42288[0:MRR:42247.0,1340.1] little_set(u) || equal(f22(v,w,x),y)* member(v,image(w,x))* equal(u,v)* -> member(u,range_of(non_ordered_pair(y,z)))*. % 299.97/300.38 42363[6:Res:4279.1,10857.1] || member(u,compose(v,cross_product(w,infinity))) equal(successor(second(ordered_pair(f31(u,v,cross_product(w,infinity)),f30(u,v,cross_product(w,infinity))))),universal_set)** -> . % 299.97/300.38 42474[6:Res:4278.1,10857.1] || member(u,compose(v,cross_product(infinity,w))) equal(successor(first(ordered_pair(f31(u,v,cross_product(infinity,w)),f30(u,v,cross_product(infinity,w))))),universal_set)** -> . % 299.97/300.38 42621[6:Res:4354.1,10857.1] || member(u,compose(cross_product(v,infinity),w)) equal(successor(second(ordered_pair(f29(u,cross_product(v,infinity),w),f31(u,cross_product(v,infinity),w)))),universal_set)** -> . % 299.97/300.38 42763[6:Res:4353.1,10857.1] || member(u,compose(cross_product(infinity,v),w)) equal(successor(first(ordered_pair(f29(u,cross_product(infinity,v),w),f31(u,cross_product(infinity,v),w)))),universal_set)** -> . % 299.97/300.38 42881[7:Res:26333.1,1442.0] || subset(universal_set,apply(non_ordered_pair(u,v),w)) -> equal(f28(sigma(infinity),non_ordered_pair(u,v),w),v)** equal(f28(sigma(infinity),non_ordered_pair(u,v),w),u)**. % 299.97/300.38 43058[7:Res:26333.1,1443.0] || subset(universal_set,image(u,non_ordered_pair(v,w))) -> equal(f22(sigma(infinity),u,non_ordered_pair(v,w)),w)** equal(f22(sigma(infinity),u,non_ordered_pair(v,w)),v)**. % 299.97/300.38 43290[3:SSi:43267.0,18197.0,371.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),v)* member(ordered_pair(second(u),first(u)),w)* -> member(u,converse(intersection(w,singleton_set(v))))*. % 299.97/300.38 43291[3:SSi:43266.0,18197.0,371.1] ordered_pair_predicate(u) || subset(ordered_pair(second(u),first(u)),v)* member(ordered_pair(second(u),first(u)),w)* -> member(u,converse(intersection(w,powerset(v))))*. % 299.97/300.38 43378[2:Res:4108.2,15721.1] ordered_pair_predicate(set_a) || member(ordered_pair(second(set_a),first(set_a)),apply(u,v)) disjoint(universal_set,converse(second(f28(ordered_pair(second(set_a),first(set_a)),u,v))))* -> . % 299.97/300.38 43376[2:Res:4108.2,15679.1] ordered_pair_predicate(set_b) || member(ordered_pair(second(set_b),first(set_b)),apply(u,v)) disjoint(universal_set,converse(second(f28(ordered_pair(second(set_b),first(set_b)),u,v))))* -> . % 299.97/300.38 43362[0:Res:4108.2,1238.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),apply(v,w)) disjoint(converse(second(f28(ordered_pair(second(u),first(u)),v,w))),universal_set)* -> . % 299.97/300.38 43561[0:MRR:43530.0,43530.1,19.1,18.1] little_set(u) || member(v,first(w)) member(ordered_pair(f4(v,w),ordered_pair(f5(v,w),u)),x)* -> member(ordered_pair(u,w),rotate_right(x)). % 299.97/300.38 43562[0:MRR:43529.0,43529.1,24.1,23.1] little_set(u) || member(v,second(w)) member(ordered_pair(f6(v,w),ordered_pair(f7(v,w),u)),x)* -> member(ordered_pair(u,w),rotate_right(x)). % 299.97/300.38 43727[0:MRR:43695.0,43695.1,19.1,18.1] little_set(u) || member(v,first(w)) member(ordered_pair(u,ordered_pair(f5(v,w),f4(v,w))),x)* -> member(ordered_pair(u,w),flip_range_of(x)). % 299.97/300.38 43728[0:MRR:43694.0,43694.1,24.1,23.1] little_set(u) || member(v,second(w)) member(ordered_pair(u,ordered_pair(f7(v,w),f6(v,w))),x)* -> member(ordered_pair(u,w),flip_range_of(x)). % 299.97/300.38 44018[0:MRR:43958.0,43958.1,85.1,83.1] || member(u,f21(non_ordered_pair(v,w)))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),w)** member(u,second(v)). % 299.97/300.38 44019[0:MRR:43957.0,43957.1,85.1,83.1] || member(u,f19(non_ordered_pair(v,w)))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),w)** member(u,first(v)). % 299.97/300.38 44022[0:MRR:43934.0,43934.1,85.1,83.1] || member(u,f21(non_ordered_pair(v,w)))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),v)** member(u,second(w)). % 299.97/300.38 44023[0:MRR:43933.0,43933.1,85.1,83.1] || member(u,f19(non_ordered_pair(v,w)))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),v)** member(u,first(w)). % 299.97/300.38 44162[0:MRR:44102.0,44102.1,84.1,83.1] || member(u,f20(non_ordered_pair(v,w)))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),w)** member(u,second(v)). % 299.97/300.38 44163[0:MRR:44101.0,44101.1,84.1,83.1] || member(u,f19(non_ordered_pair(v,w)))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),w)** member(u,first(v)). % 299.97/300.38 44166[0:MRR:44078.0,44078.1,84.1,83.1] || member(u,f20(non_ordered_pair(v,w)))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),v)** member(u,second(w)). % 299.97/300.38 44167[0:MRR:44077.0,44077.1,84.1,83.1] || member(u,f19(non_ordered_pair(v,w)))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),v)** member(u,first(w)). % 299.97/300.38 59687[16:Rew:54986.0,55231.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),a) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u)** member(a,v). % 299.97/300.38 59688[16:Rew:54986.0,55232.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),a) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u)** member(a,v). % 299.97/300.38 59689[16:Rew:54986.0,55536.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),a) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)** member(a,u). % 299.97/300.38 59690[16:Rew:54986.0,55537.0] || equal(singleton_set(f19(non_ordered_pair(u,v))),a) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)** member(a,u). % 299.97/300.38 55735[16:Rew:54986.0,49779.3] || member(u,v) equal(first(u),w) equal(sigma(infinity),second(u)) -> equal(second(u),a) member(f26(second(u)),apply(v,w))*. % 299.97/300.38 59691[16:Rew:54986.0,55736.2] || member(u,v) equal(first(u),w) equal(powerset(a),second(u)) -> equal(second(u),a) member(f26(second(u)),apply(v,w))*. % 299.97/300.38 59692[16:Rew:54986.0,55737.2] || member(u,v) equal(first(u),w) equal(second(u),singleton_set(a)) -> equal(second(u),a) member(f26(second(u)),apply(v,w))*. % 299.97/300.38 55918[16:Rew:54986.0,48957.4] little_set(u) || subset(u,second(v))* member(v,w)* equal(first(v),x)* -> equal(u,a) member(f26(u),apply(w,x))*. % 299.97/300.38 55919[16:Rew:54986.0,48869.2] little_set(u) || subset(f25,converse(intersection(v,w)))* -> equal(u,a) member(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),v)*. % 299.97/300.38 55920[16:Rew:54986.0,48868.2] little_set(u) || subset(f25,converse(intersection(v,w)))* -> equal(u,a) member(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),w)*. % 299.97/300.38 55921[16:Rew:54986.0,48840.4] little_set(u) || member(ordered_pair(u,f26(u)),v)* member(ordered_pair(u,f26(u)),w)* disjoint(intersection(w,v),f25)* -> equal(u,a). % 299.97/300.38 55922[16:Rew:54986.0,48839.3] little_set(u) || member(ordered_pair(u,f26(u)),apply(v,w)) disjoint(second(f28(ordered_pair(u,f26(u)),v,w)),f25)* -> equal(u,a). % 299.97/300.38 55923[16:Rew:54986.0,48780.4] little_set(u) || subset(u,f4(v,w))* member(v,first(w)) equal(x,w)* -> equal(u,a) member(f26(u),first(x))*. % 299.97/300.38 55924[16:Rew:54986.0,48777.4] little_set(u) || subset(u,f6(v,w))* member(v,second(w)) equal(x,w)* -> equal(u,a) member(f26(u),first(x))*. % 299.97/300.38 55925[16:Rew:54986.0,48774.4] little_set(u) || subset(u,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> equal(u,a) member(f26(u),first(x))*. % 299.97/300.38 55926[16:Rew:54986.0,48771.4] little_set(u) || subset(u,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> equal(u,a) member(f26(u),first(x))*. % 299.97/300.38 55927[16:Rew:54986.0,48768.4] little_set(u) || subset(u,f5(v,w))* member(v,first(w)) equal(x,w)* -> equal(u,a) member(f26(u),second(x))*. % 299.97/300.38 55928[16:Rew:54986.0,48765.4] little_set(u) || subset(u,f7(v,w))* member(v,second(w)) equal(x,w)* -> equal(u,a) member(f26(u),second(x))*. % 299.97/300.38 55929[16:Rew:54986.0,48757.1] || subset(u,range_of(non_ordered_pair(v,w))) -> equal(u,a) equal(f27(f24(u),non_ordered_pair(v,w)),w)** equal(f27(f24(u),non_ordered_pair(v,w)),v)**. % 299.97/300.38 55930[16:Rew:54986.0,48752.1] || subset(u,sigma(non_ordered_pair(v,w))) -> equal(u,a) equal(f16(f24(u),non_ordered_pair(v,w)),w)** equal(f16(f24(u),non_ordered_pair(v,w)),v)**. % 299.97/300.38 55931[16:Rew:54986.0,48748.1] || subset(u,domain_of(non_ordered_pair(v,w))) -> equal(u,a) equal(f8(f24(u),non_ordered_pair(v,w)),w)** equal(f8(f24(u),non_ordered_pair(v,w)),v)**. % 299.97/300.38 59693[16:Rew:54986.0,56502.2] || disjoint(universal_set,complement(converse(non_ordered_pair(u,v))))* -> equal(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)* equal(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u)*. % 299.97/300.38 59694[16:Rew:54986.0,56503.2] || disjoint(complement(converse(non_ordered_pair(u,v))),universal_set)* -> equal(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)* equal(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u)*. % 299.97/300.38 59695[16:Rew:54986.0,56504.2] || member(universal_set,powerset(converse(non_ordered_pair(u,v))))* -> equal(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),v)* equal(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u)*. % 299.97/300.38 56509[16:Rew:54986.0,49503.3] || subset(universal_set,converse(second(u)))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),apply(v,w))*. % 299.97/300.38 59696[16:Rew:54986.0,56643.2,54986.0,56643.0] || equal(second(f17(u,cross_product(v,singleton_set(a)))),a) member(first(f17(u,cross_product(v,singleton_set(a)))),v)* -> subset(u,cross_product(v,singleton_set(a))). % 299.97/300.38 59697[16:Rew:54986.0,56647.2] || subset(universal_set,apply(non_ordered_pair(u,v),w)) -> equal(f28(singleton_set(a),non_ordered_pair(u,v),w),v)** equal(f28(singleton_set(a),non_ordered_pair(u,v),w),u)**. % 299.97/300.38 59698[16:Rew:54986.0,56651.2] || subset(universal_set,image(u,non_ordered_pair(v,w))) -> equal(f22(singleton_set(a),u,non_ordered_pair(v,w)),w)** equal(f22(singleton_set(a),u,non_ordered_pair(v,w)),v)**. % 299.97/300.38 59699[16:Rew:54986.0,56823.2] || disjoint(universal_set,complement(converse(non_ordered_pair(u,v))))* -> equal(ordered_pair(second(powerset(a)),first(powerset(a))),v)* equal(ordered_pair(second(powerset(a)),first(powerset(a))),u)*. % 299.97/300.38 59700[16:Rew:54986.0,56824.2] || disjoint(complement(converse(non_ordered_pair(u,v))),universal_set)* -> equal(ordered_pair(second(powerset(a)),first(powerset(a))),v)* equal(ordered_pair(second(powerset(a)),first(powerset(a))),u)*. % 299.97/300.38 59701[16:Rew:54986.0,56825.2] || member(universal_set,powerset(converse(non_ordered_pair(u,v))))* -> equal(ordered_pair(second(powerset(a)),first(powerset(a))),v)* equal(ordered_pair(second(powerset(a)),first(powerset(a))),u)*. % 299.97/300.38 56830[16:Rew:54986.0,50416.3] || subset(universal_set,converse(second(u)))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),apply(v,w))*. % 299.97/300.38 59702[16:Rew:54986.0,56993.2] || subset(universal_set,apply(non_ordered_pair(u,v),w)) -> equal(f28(powerset(a),non_ordered_pair(u,v),w),v)** equal(f28(powerset(a),non_ordered_pair(u,v),w),u)**. % 299.97/300.38 59703[16:Rew:54986.0,56997.2] || subset(universal_set,image(u,non_ordered_pair(v,w))) -> equal(f22(powerset(a),u,non_ordered_pair(v,w)),w)** equal(f22(powerset(a),u,non_ordered_pair(v,w)),v)**. % 299.97/300.38 57267[16:Rew:54986.0,50730.3] || subset(f25,ordered_pair(f10(u,v),f11(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(ordered_pair(powerset(a),a),second(w))*. % 299.97/300.38 57268[16:Rew:54986.0,50729.3] || subset(universal_set,ordered_pair(f10(u,v),f11(u,v)))* member(u,rotate_right(v)) equal(w,u)* -> member(ordered_pair(powerset(a),a),second(w))*. % 299.97/300.38 57269[16:Rew:54986.0,50728.3] || subset(f25,ordered_pair(f13(u,v),f14(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(ordered_pair(powerset(a),a),second(w))*. % 299.97/300.38 57270[16:Rew:54986.0,50727.3] || subset(universal_set,ordered_pair(f13(u,v),f14(u,v)))* member(u,flip_range_of(v)) equal(w,u)* -> member(ordered_pair(powerset(a),a),second(w))*. % 299.97/300.38 57375[16:Rew:54986.0,51513.5] function(u) little_set(u) little_set(v) || disjoint(v,universal_set) subset(range_of(u),v)* equal(domain_of(u),a) -> closed(v,u). % 299.97/300.38 57863[16:Rew:54986.0,49757.5] little_set(u) little_set(v) single_valued_set(w) || subset(f25,w) member(ordered_pair(v,u),w)* -> equal(v,a) equal(u,f26(v)). % 299.97/300.38 58139[16:Rew:54986.0,50779.5] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,f26(w)),u)* disjoint(second(ordered_pair(v,u)),f25)* -> equal(w,a). % 299.97/300.38 58140[16:Rew:54986.0,50778.5] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,f26(w)),v)* disjoint(first(ordered_pair(v,u)),f25)* -> equal(w,a). % 299.97/300.38 58460[16:Rew:54986.0,51205.2] || member(u,apply(v,w)) equal(w,x) -> equal(singleton_set(f28(u,v,w)),a) member(u,apply(singleton_set(f28(u,v,w)),x))*. % 299.97/300.38 58470[16:Rew:54986.0,51260.2] || member(u,rotate_right(v)) member(u,f25) -> equal(f9(u,v),a) equal(ordered_pair(f10(u,v),f11(u,v)),f26(f9(u,v)))**. % 299.97/300.38 58475[16:Rew:54986.0,51266.2] || member(u,flip_range_of(v)) member(u,f25) -> equal(f12(u,v),a) equal(ordered_pair(f13(u,v),f14(u,v)),f26(f12(u,v)))**. % 299.97/300.38 58476[16:Rew:54986.0,51261.2] || member(u,flip_range_of(v)) subset(v,f25) -> equal(f12(u,v),a) equal(ordered_pair(f14(u,v),f13(u,v)),f26(f12(u,v)))**. % 299.97/300.38 58543[16:Rew:54986.0,51306.3] ordered_pair_predicate(u) || member(second(u),v) member(first(u),w) -> equal(singleton_set(cross_product(w,v)),a) member(u,sigma(singleton_set(cross_product(w,v))))*. % 299.97/300.38 58557[16:Rew:54986.0,51255.2] || member(u,compose(v,w)) member(u,f25) -> equal(f29(u,v,w),a) equal(f26(f29(u,v,w)),f30(u,v,w))**. % 299.97/300.38 58558[16:Rew:54986.0,51250.2] || member(u,compose(v,w)) subset(v,f25) -> equal(f29(u,v,w),a) equal(f26(f29(u,v,w)),f31(u,v,w))**. % 299.97/300.38 58582[16:Rew:54986.0,51109.1] || member(u,v) -> equal(intersection(w,converse(u)),a) member(ordered_pair(second(f24(intersection(w,converse(u)))),first(f24(intersection(w,converse(u))))),sigma(v))*. % 299.97/300.38 58584[16:Rew:54986.0,51111.1] || member(u,v) -> equal(intersection(converse(u),w),a) member(ordered_pair(second(f24(intersection(converse(u),w))),first(f24(intersection(converse(u),w)))),sigma(v))*. % 299.97/300.38 59708[16:Rew:54986.0,58609.4,54986.0,58609.3] || closed(u,v) closed(w,x) equal(apply_to_two_arguments(v,a,a),a) maps(a,w,u) -> homomorphism(a,w,x,u,v)*. % 299.97/300.38 58610[16:Rew:54986.0,51105.0] || -> equal(intersection(u,ordered_pair(v,w)),a) equal(f24(intersection(u,ordered_pair(v,w))),non_ordered_pair(v,w))** equal(f24(intersection(u,ordered_pair(v,w))),singleton_set(v)). % 299.97/300.38 58611[16:Rew:54986.0,51106.0] || -> equal(intersection(ordered_pair(u,v),w),a) equal(f24(intersection(ordered_pair(u,v),w)),non_ordered_pair(u,v))** equal(f24(intersection(ordered_pair(u,v),w)),singleton_set(u)). % 299.97/300.38 58612[16:Rew:54986.0,51269.2] || member(u,first(v)) equal(w,v) -> equal(cross_product(f4(u,v),x),a) member(first(f24(cross_product(f4(u,v),x))),first(w))*. % 299.97/300.38 58613[16:Rew:54986.0,51270.2] || member(u,first(v)) equal(w,v) -> equal(cross_product(x,f4(u,v)),a) member(second(f24(cross_product(x,f4(u,v)))),first(w))*. % 299.97/300.38 58614[16:Rew:54986.0,51276.2] || member(u,second(v)) equal(w,v) -> equal(cross_product(f6(u,v),x),a) member(first(f24(cross_product(f6(u,v),x))),first(w))*. % 299.97/300.38 58615[16:Rew:54986.0,51277.2] || member(u,second(v)) equal(w,v) -> equal(cross_product(x,f6(u,v)),a) member(second(f24(cross_product(x,f6(u,v)))),first(w))*. % 299.97/300.38 58616[16:Rew:54986.0,51280.2] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(f9(u,v),x),a) member(first(f24(cross_product(f9(u,v),x))),first(w))*. % 299.97/300.38 58617[16:Rew:54986.0,51281.2] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(x,f9(u,v)),a) member(second(f24(cross_product(x,f9(u,v)))),first(w))*. % 299.97/300.38 58618[16:Rew:54986.0,51284.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(f12(u,v),x),a) member(first(f24(cross_product(f12(u,v),x))),first(w))*. % 299.97/300.38 58619[16:Rew:54986.0,51285.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(x,f12(u,v)),a) member(second(f24(cross_product(x,f12(u,v)))),first(w))*. % 299.97/300.38 58620[16:Rew:54986.0,51292.2] || member(u,first(v)) equal(w,v) -> equal(cross_product(f5(u,v),x),a) member(first(f24(cross_product(f5(u,v),x))),second(w))*. % 299.97/300.38 58621[16:Rew:54986.0,51293.2] || member(u,first(v)) equal(w,v) -> equal(cross_product(x,f5(u,v)),a) member(second(f24(cross_product(x,f5(u,v)))),second(w))*. % 299.97/300.38 58622[16:Rew:54986.0,51296.2] || member(u,second(v)) equal(w,v) -> equal(cross_product(f7(u,v),x),a) member(first(f24(cross_product(f7(u,v),x))),second(w))*. % 299.97/300.38 58623[16:Rew:54986.0,51297.2] || member(u,second(v)) equal(w,v) -> equal(cross_product(x,f7(u,v)),a) member(second(f24(cross_product(x,f7(u,v)))),second(w))*. % 299.97/300.38 58624[16:Rew:54986.0,51301.1] || member(u,range_of(v)) -> equal(singleton_set(ordered_pair(u,first(f27(u,v)))),a) member(f27(u,v),converse(singleton_set(ordered_pair(u,first(f27(u,v))))))*. % 299.97/300.38 58625[16:Rew:54986.0,51304.1] || member(u,domain_of(v)) -> equal(singleton_set(ordered_pair(second(f8(u,v)),u)),a) member(f8(u,v),converse(singleton_set(ordered_pair(second(f8(u,v)),u))))*. % 299.97/300.38 58626[16:Rew:54986.0,51413.2] || member(u,compose(v,w)) subset(w,f25) -> equal(f31(u,v,w),a) equal(f26(f31(u,v,w)),f30(u,v,w))**. % 299.97/300.38 58627[16:Rew:54986.0,51427.2] || member(u,rotate_right(v)) subset(v,f25) -> equal(f10(u,v),a) equal(ordered_pair(f11(u,v),f9(u,v)),f26(f10(u,v)))**. % 299.97/300.38 58628[16:Rew:54986.0,51524.1] little_set(u) || equal(f28(v,w,x),a) member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(ordered_pair(universal_set,y)))*. % 299.97/300.38 58629[16:Rew:54986.0,51526.1] little_set(u) || equal(f22(v,w,x),a) member(v,image(w,x))* equal(u,v)* -> member(u,range_of(ordered_pair(universal_set,y)))*. % 299.97/300.38 58630[16:Rew:54986.0,51587.2] || member(u,flip_range_of(v)) equal(w,u)* -> member(a,sigma(complement(ordered_pair(f13(u,v),f14(u,v)))))* member(ordered_pair(universal_set,x),second(w))*. % 299.97/300.38 58631[16:Rew:54986.0,51588.2] || member(u,rotate_right(v)) equal(w,u)* -> member(a,sigma(complement(ordered_pair(f10(u,v),f11(u,v)))))* member(ordered_pair(universal_set,x),second(w))*. % 299.97/300.38 58632[16:Rew:54986.0,51589.0] || -> member(a,sigma(complement(domain_of(non_ordered_pair(u,v)))))* equal(f8(ordered_pair(universal_set,w),non_ordered_pair(u,v)),v)** equal(f8(ordered_pair(universal_set,w),non_ordered_pair(u,v)),u)**. % 299.97/300.38 58633[16:Rew:54986.0,51590.0] || -> member(a,sigma(complement(sigma(non_ordered_pair(u,v)))))* equal(f16(ordered_pair(universal_set,w),non_ordered_pair(u,v)),v)** equal(f16(ordered_pair(universal_set,w),non_ordered_pair(u,v)),u)**. % 299.97/300.38 58634[16:Rew:54986.0,51591.0] || -> member(a,sigma(complement(range_of(non_ordered_pair(u,v)))))* equal(f27(ordered_pair(universal_set,w),non_ordered_pair(u,v)),v)** equal(f27(ordered_pair(universal_set,w),non_ordered_pair(u,v)),u)**. % 299.97/300.38 58635[16:Rew:54986.0,51648.1] || member(u,apply(cross_product(v,w),x)) -> equal(second(f28(u,cross_product(v,w),x)),a) ordered_pair_predicate(f26(second(f28(u,cross_product(v,w),x))))*. % 299.97/300.38 64060[3:Res:62.1,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,universal_set))). % 299.97/300.38 64059[3:Res:5770.1,18198.1] ordered_pair_predicate(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,universal_set))). % 299.97/300.38 64252[0:Res:4628.1,4.0] || member(u,flip_range_of(cross_product(v,w))) -> little_set(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))))*. % 299.97/300.38 64247[3:Res:4628.1,6160.0] || member(u,flip_range_of(cross_product(v,w))) -> ordered_pair_predicate(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))))*. % 299.97/300.38 64359[0:Res:4627.1,4.0] || member(u,flip_range_of(cross_product(v,w))) -> little_set(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))))*. % 299.97/300.38 64354[3:Res:4627.1,6160.0] || member(u,flip_range_of(cross_product(v,w))) -> ordered_pair_predicate(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))))*. % 299.97/300.38 64508[0:Res:4776.1,4.0] || member(u,rotate_right(cross_product(v,w))) -> little_set(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))))*. % 299.97/300.38 64503[3:Res:4776.1,6160.0] || member(u,rotate_right(cross_product(v,w))) -> ordered_pair_predicate(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))))*. % 299.97/300.38 64618[0:Res:4775.1,4.0] || member(u,rotate_right(cross_product(v,w))) -> little_set(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))))*. % 299.97/300.38 64613[3:Res:4775.1,6160.0] || member(u,rotate_right(cross_product(v,w))) -> ordered_pair_predicate(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))))*. % 299.97/300.38 66376[0:MRR:66324.0,66324.1,83.1,84.1] little_set(u) || member(ordered_pair(u,f19(intersection(v,w))),x) -> single_valued_set(intersection(v,w)) member(ordered_pair(u,f20(intersection(v,w))),compose(x,v))*. % 299.97/300.38 66377[0:MRR:66323.0,66323.1,83.1,85.1] little_set(u) || member(ordered_pair(u,f19(intersection(v,w))),x) -> single_valued_set(intersection(v,w)) member(ordered_pair(u,f21(intersection(v,w))),compose(x,v))*. % 299.97/300.38 66378[0:MRR:66311.0,66311.1,83.1,84.1] little_set(u) || member(ordered_pair(u,f19(intersection(v,w))),x) -> single_valued_set(intersection(v,w)) member(ordered_pair(u,f20(intersection(v,w))),compose(x,w))*. % 299.97/300.38 66379[0:MRR:66310.0,66310.1,83.1,85.1] little_set(u) || member(ordered_pair(u,f19(intersection(v,w))),x) -> single_valued_set(intersection(v,w)) member(ordered_pair(u,f21(intersection(v,w))),compose(x,w))*. % 299.97/300.38 66809[0:SSi:66808.1,66808.0,15.1,14.1] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,u),x)* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(flip_range_of(x)))*. % 299.97/300.38 67487[0:EqR:5127.3] || member(u,image(v,w)) member(f22(u,v,w),x) member(y,u) -> member(y,apply(x,first(f22(u,v,w))))*. % 299.97/300.38 67675[3:Res:6219.3,17668.0] || member(u,compose(v,second(w))) member(w,x)* equal(ordered_pair(f31(u,v,second(w)),f30(u,v,second(w))),first(w))** -> . % 299.97/300.38 67733[3:Res:6220.3,17668.0] || member(u,compose(second(v),w)) member(v,x)* equal(ordered_pair(f29(u,second(v),w),f31(u,second(v),w)),first(v))** -> . % 299.97/300.38 67890[0:MRR:67889.0,133.1] single_valued_set(u) || subset(v,u)* member(w,compose(v,x))* member(w,u)* -> equal(f31(w,v,x),f30(w,v,x)). % 299.97/300.38 73368[17:Rew:73253.0,73341.2] || subset(universal_set,image(non_ordered_pair(u,v),w)) -> equal(first(f22(a,non_ordered_pair(u,v),w)),v)** equal(first(f22(a,non_ordered_pair(u,v),w)),u)**. % 299.97/300.38 78670[16:Res:1280.1,56189.0] || member(u,apply(cross_product(v,w),x)) -> equal(second(f28(u,cross_product(v,w),x)),a) little_set(f26(second(f28(u,cross_product(v,w),x))))*. % 299.97/300.38 84032[16:Res:1464.2,83606.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(f24(powerset(x)))) subset(ordered_pair(second(f28(u,v,w)),w),x)* -> . % 299.97/300.38 84031[16:Res:1468.2,83606.1] || member(u,image(v,w)) member(f22(u,v,w),converse(f24(powerset(x)))) subset(ordered_pair(u,first(f22(u,v,w))),x)* -> . % 299.97/300.38 83970[16:Res:3842.1,83606.1] || subset(f1(intersection(u,v),f24(powerset(w))),w)* -> equal(intersection(u,v),f24(powerset(w))) member(f1(intersection(u,v),f24(powerset(w))),u)*. % 299.97/300.38 83969[16:Res:3843.1,83606.1] || subset(f1(intersection(u,v),f24(powerset(w))),w)* -> equal(intersection(u,v),f24(powerset(w))) member(f1(intersection(u,v),f24(powerset(w))),v)*. % 299.97/300.38 83968[16:Res:3825.2,83606.1] || subset(f1(u,intersection(v,f24(powerset(w)))),w)* -> equal(u,intersection(v,f24(powerset(w)))) member(f1(u,intersection(v,f24(powerset(w)))),u)*. % 299.97/300.38 83934[16:Res:3843.2,83606.1] || subset(f1(intersection(u,f24(powerset(v))),w),v)* -> equal(intersection(u,f24(powerset(v))),w) member(f1(intersection(u,f24(powerset(v))),w),w)*. % 299.97/300.38 83933[16:Res:3824.2,83606.1] || subset(f1(u,intersection(f24(powerset(v)),w)),v)* -> equal(u,intersection(f24(powerset(v)),w)) member(f1(u,intersection(f24(powerset(v)),w)),u)*. % 299.97/300.38 83896[16:Res:3842.2,83606.1] || subset(f1(intersection(f24(powerset(u)),v),w),u)* -> equal(intersection(f24(powerset(u)),v),w) member(f1(intersection(f24(powerset(u)),v),w),w)*. % 299.97/300.38 83890[16:Res:3824.1,83606.1] || subset(f1(f24(powerset(u)),intersection(v,w)),u)* -> equal(f24(powerset(u)),intersection(v,w)) member(f1(f24(powerset(u)),intersection(v,w)),v)*. % 299.97/300.38 83889[16:Res:3825.1,83606.1] || subset(f1(f24(powerset(u)),intersection(v,w)),u)* -> equal(f24(powerset(u)),intersection(v,w)) member(f1(f24(powerset(u)),intersection(v,w)),w)*. % 299.97/300.38 84222[2:Res:1464.2,25433.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(image(x,y)))* subset(x,ordered_pair(second(f28(u,v,w)),w))* -> . % 299.97/300.38 84221[2:Res:1468.2,25433.0] || member(u,image(v,w)) member(f22(u,v,w),converse(image(x,y)))* subset(x,ordered_pair(u,first(f22(u,v,w))))* -> . % 299.97/300.38 84160[2:Res:3842.1,25433.0] || subset(u,f1(intersection(v,w),image(u,x)))* -> equal(intersection(v,w),image(u,x)) member(f1(intersection(v,w),image(u,x)),v)*. % 299.97/300.38 84159[2:Res:3843.1,25433.0] || subset(u,f1(intersection(v,w),image(u,x)))* -> equal(intersection(v,w),image(u,x)) member(f1(intersection(v,w),image(u,x)),w)*. % 299.97/300.38 84158[2:Res:3825.2,25433.0] || subset(u,f1(v,intersection(w,image(u,x))))* -> equal(v,intersection(w,image(u,x))) member(f1(v,intersection(w,image(u,x))),v)*. % 299.97/300.38 84124[2:Res:3843.2,25433.0] || subset(u,f1(intersection(v,image(u,w)),x))* -> equal(intersection(v,image(u,w)),x) member(f1(intersection(v,image(u,w)),x),x)*. % 299.97/300.38 84123[2:Res:3824.2,25433.0] || subset(u,f1(v,intersection(image(u,w),x)))* -> equal(v,intersection(image(u,w),x)) member(f1(v,intersection(image(u,w),x)),v)*. % 299.97/300.38 84086[2:Res:3842.2,25433.0] || subset(u,f1(intersection(image(u,v),w),x))* -> equal(intersection(image(u,v),w),x) member(f1(intersection(image(u,v),w),x),x)*. % 299.97/300.38 84080[2:Res:3824.1,25433.0] || subset(u,f1(image(u,v),intersection(w,x)))* -> equal(image(u,v),intersection(w,x)) member(f1(image(u,v),intersection(w,x)),w)*. % 299.97/300.38 84079[2:Res:3825.1,25433.0] || subset(u,f1(image(u,v),intersection(w,x)))* -> equal(image(u,v),intersection(w,x)) member(f1(image(u,v),intersection(w,x)),x)*. % 299.97/300.38 87635[16:Res:82665.1,6235.0] || equal(second(f17(u,cross_product(v,sigma(infinity)))),a) member(first(f17(u,cross_product(v,sigma(infinity)))),v)* -> subset(u,cross_product(v,sigma(infinity))). % 299.97/300.38 87789[16:Res:82681.1,6235.0] || equal(second(f17(u,cross_product(v,successor(a)))),a) member(first(f17(u,cross_product(v,successor(a)))),v)* -> subset(u,cross_product(v,successor(a))). % 299.97/300.38 88165[3:Res:82671.1,4457.3] ordered_pair_predicate(u) || equal(cross_product(v,w),infinity) member(second(u),w) member(first(u),v) -> member(u,sigma(singleton_set(cross_product(v,w))))*. % 299.97/300.38 88144[3:Res:82671.1,5125.1] || equal(f28(u,v,w),infinity) member(u,apply(v,w)) equal(w,x) -> member(u,apply(singleton_set(f28(u,v,w)),x))*. % 299.97/300.38 88137[3:Res:82671.1,4120.1] || equal(ordered_pair(second(f8(u,v)),u),infinity) member(u,domain_of(v)) -> member(f8(u,v),converse(singleton_set(ordered_pair(second(f8(u,v)),u))))*. % 299.97/300.38 88136[3:Res:82671.1,4119.1] || equal(ordered_pair(u,first(f27(u,v))),infinity) member(u,range_of(v)) -> member(f27(u,v),converse(singleton_set(ordered_pair(u,first(f27(u,v))))))*. % 299.97/300.38 88213[16:Res:3651.2,58983.0] || member(f1(complement(restrict(u,v)),a),cross_product(v,universal_set))* member(f1(complement(restrict(u,v)),a),u)* -> equal(complement(restrict(u,v)),a). % 299.97/300.38 88235[16:MRR:88194.0,6237.1] || member(second(f1(complement(cross_product(u,v)),a)),v)* member(first(f1(complement(cross_product(u,v)),a)),u)* -> equal(complement(cross_product(u,v)),a). % 299.97/300.38 88293[16:Res:3651.2,58984.0] || member(f1(a,complement(restrict(u,v))),cross_product(v,universal_set))* member(f1(a,complement(restrict(u,v))),u)* -> equal(complement(restrict(u,v)),a). % 299.97/300.38 88315[16:MRR:88274.0,6237.1] || member(second(f1(a,complement(cross_product(u,v)))),v)* member(first(f1(a,complement(cross_product(u,v)))),u)* -> equal(complement(cross_product(u,v)),a). % 299.97/300.38 88433[16:Res:57853.0,1421.0] || -> equal(complement(complement(ordered_pair(u,v))),a) equal(f24(complement(complement(ordered_pair(u,v)))),non_ordered_pair(u,v))** equal(f24(complement(complement(ordered_pair(u,v)))),singleton_set(u)). % 299.97/300.38 88403[16:Res:57853.0,1163.0] || member(u,v) -> equal(complement(complement(converse(u))),a) member(ordered_pair(second(f24(complement(complement(converse(u))))),first(f24(complement(complement(converse(u)))))),sigma(v))*. % 299.97/300.38 89264[0:Res:4770.2,14370.1] || member(u,rotate_right(v)) subset(v,converse(complement(w))) member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),converse(w))* -> . % 299.97/300.38 89262[0:Res:4622.2,14370.1] || member(u,flip_range_of(v)) subset(v,converse(complement(w))) member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),converse(w))* -> . % 299.97/300.38 89511[0:Res:554.1,43745.1] || member(first(ordered_pair(f19(cross_product(flip_range_of(complement(flip_range_of(u))),v)),f20(cross_product(flip_range_of(complement(flip_range_of(u))),v)))),u)* -> single_valued_set(cross_product(flip_range_of(complement(flip_range_of(u))),v)). % 299.97/300.38 89510[0:Res:553.1,43745.1] || member(first(ordered_pair(f19(cross_product(flip_range_of(complement(flip_range_of(u))),v)),f21(cross_product(flip_range_of(complement(flip_range_of(u))),v)))),u)* -> single_valued_set(cross_product(flip_range_of(complement(flip_range_of(u))),v)). % 299.97/300.38 89498[0:Res:4770.2,43745.1] || member(u,rotate_right(v)) subset(v,flip_range_of(complement(flip_range_of(w)))) member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)* -> . % 299.97/300.38 89496[0:Res:4622.2,43745.1] || member(u,flip_range_of(v)) subset(v,flip_range_of(complement(flip_range_of(w)))) member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)* -> . % 299.97/300.38 89444[0:Res:541.1,43745.1] || member(second(ordered_pair(f19(cross_product(u,flip_range_of(complement(flip_range_of(v))))),f20(cross_product(u,flip_range_of(complement(flip_range_of(v))))))),v)* -> single_valued_set(cross_product(u,flip_range_of(complement(flip_range_of(v))))). % 299.97/300.38 89443[0:Res:540.1,43745.1] || member(second(ordered_pair(f19(cross_product(u,flip_range_of(complement(flip_range_of(v))))),f21(cross_product(u,flip_range_of(complement(flip_range_of(v))))))),v)* -> single_valued_set(cross_product(u,flip_range_of(complement(flip_range_of(v))))). % 299.97/300.38 89438[0:Res:3839.1,43745.1] || member(f1(powerset(u),flip_range_of(complement(flip_range_of(v)))),v)* -> equal(powerset(u),flip_range_of(complement(flip_range_of(v)))) subset(f1(powerset(u),flip_range_of(complement(flip_range_of(v)))),u)*. % 299.97/300.38 89393[0:Res:3821.1,43745.1] || member(f1(flip_range_of(complement(flip_range_of(u))),powerset(v)),u)* -> equal(flip_range_of(complement(flip_range_of(u))),powerset(v)) subset(f1(flip_range_of(complement(flip_range_of(u))),powerset(v)),v)*. % 299.97/300.38 89604[16:Res:4779.1,56180.0] || member(u,rotate_right(powerset(v))) disjoint(v,universal_set) -> equal(ordered_pair(f10(u,powerset(v)),ordered_pair(f11(u,powerset(v)),f9(u,powerset(v)))),a)**. % 299.97/300.38 89603[16:Res:4631.1,56180.0] || member(u,flip_range_of(powerset(v))) disjoint(v,universal_set) -> equal(ordered_pair(f12(u,powerset(v)),ordered_pair(f14(u,powerset(v)),f13(u,powerset(v)))),a)**. % 299.97/300.38 92686[0:Res:554.1,19261.0] || -> single_valued_set(cross_product(sigma(intersection(u,v)),w)) member(first(ordered_pair(f19(cross_product(sigma(intersection(u,v)),w)),f20(cross_product(sigma(intersection(u,v)),w)))),sigma(u))*. % 299.97/300.38 92685[0:Res:553.1,19261.0] || -> single_valued_set(cross_product(sigma(intersection(u,v)),w)) member(first(ordered_pair(f19(cross_product(sigma(intersection(u,v)),w)),f21(cross_product(sigma(intersection(u,v)),w)))),sigma(u))*. % 299.97/300.38 92674[0:Res:4770.2,19261.0] || member(u,rotate_right(v)) subset(v,sigma(intersection(w,x)))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),sigma(w))*. % 299.97/300.38 92672[0:Res:4622.2,19261.0] || member(u,flip_range_of(v)) subset(v,sigma(intersection(w,x)))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),sigma(w))*. % 299.97/300.38 92620[0:Res:541.1,19261.0] || -> single_valued_set(cross_product(u,sigma(intersection(v,w)))) member(second(ordered_pair(f19(cross_product(u,sigma(intersection(v,w)))),f20(cross_product(u,sigma(intersection(v,w)))))),sigma(v))*. % 299.97/300.38 92619[0:Res:540.1,19261.0] || -> single_valued_set(cross_product(u,sigma(intersection(v,w)))) member(second(ordered_pair(f19(cross_product(u,sigma(intersection(v,w)))),f21(cross_product(u,sigma(intersection(v,w)))))),sigma(v))*. % 299.97/300.38 92614[0:Res:3839.1,19261.0] || -> equal(powerset(u),sigma(intersection(v,w))) subset(f1(powerset(u),sigma(intersection(v,w))),u)* member(f1(powerset(u),sigma(intersection(v,w))),sigma(v))*. % 299.97/300.38 92569[0:Res:3821.1,19261.0] || -> equal(sigma(intersection(u,v)),powerset(w)) subset(f1(sigma(intersection(u,v)),powerset(w)),w)* member(f1(sigma(intersection(u,v)),powerset(w)),sigma(u))*. % 299.97/300.38 92888[0:Res:554.1,19263.0] || -> single_valued_set(cross_product(sigma(intersection(u,v)),w)) member(first(ordered_pair(f19(cross_product(sigma(intersection(u,v)),w)),f20(cross_product(sigma(intersection(u,v)),w)))),sigma(v))*. % 299.97/300.38 92887[0:Res:553.1,19263.0] || -> single_valued_set(cross_product(sigma(intersection(u,v)),w)) member(first(ordered_pair(f19(cross_product(sigma(intersection(u,v)),w)),f21(cross_product(sigma(intersection(u,v)),w)))),sigma(v))*. % 299.97/300.38 92876[0:Res:4770.2,19263.0] || member(u,rotate_right(v)) subset(v,sigma(intersection(w,x)))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),sigma(x))*. % 299.97/300.38 92874[0:Res:4622.2,19263.0] || member(u,flip_range_of(v)) subset(v,sigma(intersection(w,x)))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),sigma(x))*. % 299.97/300.38 92822[0:Res:541.1,19263.0] || -> single_valued_set(cross_product(u,sigma(intersection(v,w)))) member(second(ordered_pair(f19(cross_product(u,sigma(intersection(v,w)))),f20(cross_product(u,sigma(intersection(v,w)))))),sigma(w))*. % 299.97/300.38 92821[0:Res:540.1,19263.0] || -> single_valued_set(cross_product(u,sigma(intersection(v,w)))) member(second(ordered_pair(f19(cross_product(u,sigma(intersection(v,w)))),f21(cross_product(u,sigma(intersection(v,w)))))),sigma(w))*. % 299.97/300.38 92816[0:Res:3839.1,19263.0] || -> equal(powerset(u),sigma(intersection(v,w))) subset(f1(powerset(u),sigma(intersection(v,w))),u)* member(f1(powerset(u),sigma(intersection(v,w))),sigma(w))*. % 299.97/300.38 92771[0:Res:3821.1,19263.0] || -> equal(sigma(intersection(u,v)),powerset(w)) subset(f1(sigma(intersection(u,v)),powerset(w)),w)* member(f1(sigma(intersection(u,v)),powerset(w)),sigma(v))*. % 299.97/300.38 94229[16:Res:57719.1,1421.0] || -> equal(restrict(ordered_pair(u,v),w),a) equal(f24(restrict(ordered_pair(u,v),w)),non_ordered_pair(u,v))** equal(f24(restrict(ordered_pair(u,v),w)),singleton_set(u)). % 299.97/300.38 94199[16:Res:57719.1,1163.0] || member(u,v) -> equal(restrict(converse(u),w),a) member(ordered_pair(second(f24(restrict(converse(u),w))),first(f24(restrict(converse(u),w)))),sigma(v))*. % 299.97/300.38 94477[0:Res:4779.1,14041.0] || member(u,rotate_right(powerset(v))) disjoint(v,w) -> disjoint(ordered_pair(f10(u,powerset(v)),ordered_pair(f11(u,powerset(v)),f9(u,powerset(v)))),w)*. % 299.97/300.38 94476[0:Res:4631.1,14041.0] || member(u,flip_range_of(powerset(v))) disjoint(v,w) -> disjoint(ordered_pair(f12(u,powerset(v)),ordered_pair(f14(u,powerset(v)),f13(u,powerset(v)))),w)*. % 299.97/300.38 94807[0:Res:4779.1,14151.0] || member(u,rotate_right(powerset(v))) disjoint(v,w) -> disjoint(w,ordered_pair(f10(u,powerset(v)),ordered_pair(f11(u,powerset(v)),f9(u,powerset(v)))))*. % 299.97/300.38 94806[0:Res:4631.1,14151.0] || member(u,flip_range_of(powerset(v))) disjoint(v,w) -> disjoint(w,ordered_pair(f12(u,powerset(v)),ordered_pair(f14(u,powerset(v)),f13(u,powerset(v)))))*. % 299.97/300.38 96190[0:MRR:96157.0,96157.2,85.1,83.1] little_set(u) single_valued_set(v) || member(w,v) member(ordered_pair(f19(singleton_set(w)),u),v)* -> single_valued_set(singleton_set(w)) equal(u,f21(singleton_set(w))). % 299.97/300.38 96569[16:Res:4108.2,92502.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),apply(v,w)) equal(converse(second(f28(ordered_pair(second(u),first(u)),v,w))),a)** -> . % 299.97/300.38 96833[0:MRR:96803.0,96803.2,84.1,83.1] little_set(u) single_valued_set(v) || member(w,v) member(ordered_pair(f19(singleton_set(w)),u),v)* -> single_valued_set(singleton_set(w)) equal(u,f20(singleton_set(w))). % 299.97/300.38 97764[0:Res:4348.2,2899.0] || member(u,compose(v,w)) subset(v,domain_of(singleton_set(x))) -> equal(f8(ordered_pair(f29(u,v,w),f31(u,v,w)),singleton_set(x)),x)**. % 299.97/300.38 97762[0:Res:4273.2,2899.0] || member(u,compose(v,w)) subset(w,domain_of(singleton_set(x))) -> equal(f8(ordered_pair(f31(u,v,w),f30(u,v,w)),singleton_set(x)),x)**. % 299.97/300.38 97720[0:Res:136.1,2899.0] || member(u,compose(v,domain_of(singleton_set(w)))) -> equal(f8(ordered_pair(f31(u,v,domain_of(singleton_set(w))),f30(u,v,domain_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.38 97710[0:Res:135.1,2899.0] || member(u,compose(domain_of(singleton_set(v)),w)) -> equal(f8(ordered_pair(f29(u,domain_of(singleton_set(v)),w),f31(u,domain_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.38 98001[0:Res:4348.2,2938.0] || member(u,compose(v,w)) subset(v,sigma(singleton_set(x))) -> equal(f16(ordered_pair(f29(u,v,w),f31(u,v,w)),singleton_set(x)),x)**. % 299.97/300.38 97999[0:Res:4273.2,2938.0] || member(u,compose(v,w)) subset(w,sigma(singleton_set(x))) -> equal(f16(ordered_pair(f31(u,v,w),f30(u,v,w)),singleton_set(x)),x)**. % 299.97/300.38 97981[0:Res:4769.2,2938.0] || member(u,rotate_right(v)) member(v,singleton_set(w)) -> equal(f16(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),singleton_set(w)),w)**. % 299.97/300.38 97980[0:Res:4621.2,2938.0] || member(u,flip_range_of(v)) member(v,singleton_set(w)) -> equal(f16(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),singleton_set(w)),w)**. % 299.97/300.38 97933[0:Res:136.1,2938.0] || member(u,compose(v,sigma(singleton_set(w)))) -> equal(f16(ordered_pair(f31(u,v,sigma(singleton_set(w))),f30(u,v,sigma(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.38 97923[0:Res:135.1,2938.0] || member(u,compose(sigma(singleton_set(v)),w)) -> equal(f16(ordered_pair(f29(u,sigma(singleton_set(v)),w),f31(u,sigma(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.38 98220[0:Res:4348.2,2959.0] || member(u,compose(v,w)) subset(v,range_of(singleton_set(x))) -> equal(f27(ordered_pair(f29(u,v,w),f31(u,v,w)),singleton_set(x)),x)**. % 299.97/300.38 98218[0:Res:4273.2,2959.0] || member(u,compose(v,w)) subset(w,range_of(singleton_set(x))) -> equal(f27(ordered_pair(f31(u,v,w),f30(u,v,w)),singleton_set(x)),x)**. % 299.97/300.38 98176[0:Res:136.1,2959.0] || member(u,compose(v,range_of(singleton_set(w)))) -> equal(f27(ordered_pair(f31(u,v,range_of(singleton_set(w))),f30(u,v,range_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.38 98166[0:Res:135.1,2959.0] || member(u,compose(range_of(singleton_set(v)),w)) -> equal(f27(ordered_pair(f29(u,range_of(singleton_set(v)),w),f31(u,range_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.38 98435[0:Res:8090.0,5065.1] || member(u,second(v)) equal(w,v) -> subset(complement(complement(f7(u,v))),x) member(f17(complement(complement(f7(u,v))),x),second(w))*. % 299.97/300.38 98434[0:Res:8090.0,5064.1] || member(u,first(v)) equal(w,v) -> subset(complement(complement(f5(u,v))),x) member(f17(complement(complement(f5(u,v))),x),second(w))*. % 299.97/300.38 98433[0:Res:8090.0,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(complement(complement(f12(u,v))),x) member(f17(complement(complement(f12(u,v))),x),first(w))*. % 299.97/300.38 98432[0:Res:8090.0,5022.1] || member(u,rotate_right(v)) equal(w,u) -> subset(complement(complement(f9(u,v))),x) member(f17(complement(complement(f9(u,v))),x),first(w))*. % 299.97/300.38 98431[0:Res:8090.0,5020.1] || member(u,second(v)) equal(w,v) -> subset(complement(complement(f6(u,v))),x) member(f17(complement(complement(f6(u,v))),x),first(w))*. % 299.97/300.38 98430[0:Res:8090.0,5019.1] || member(u,first(v)) equal(w,v) -> subset(complement(complement(f4(u,v))),x) member(f17(complement(complement(f4(u,v))),x),first(w))*. % 299.97/300.38 98551[0:Res:9082.0,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(x,complement(complement(f7(u,v)))) member(f23(x,complement(complement(f7(u,v)))),second(w))*. % 299.97/300.38 98550[0:Res:9082.0,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(x,complement(complement(f5(u,v)))) member(f23(x,complement(complement(f5(u,v)))),second(w))*. % 299.97/300.38 98549[0:Res:9082.0,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,complement(complement(f12(u,v)))) member(f23(x,complement(complement(f12(u,v)))),first(w))*. % 299.97/300.38 98548[0:Res:9082.0,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,complement(complement(f9(u,v)))) member(f23(x,complement(complement(f9(u,v)))),first(w))*. % 299.97/300.38 98547[0:Res:9082.0,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(x,complement(complement(f6(u,v)))) member(f23(x,complement(complement(f6(u,v)))),first(w))*. % 299.97/300.38 98546[0:Res:9082.0,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(x,complement(complement(f4(u,v)))) member(f23(x,complement(complement(f4(u,v)))),first(w))*. % 299.97/300.38 98741[0:Res:9151.0,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(complement(complement(f7(u,v))),x) member(f23(complement(complement(f7(u,v))),x),second(w))*. % 299.97/300.38 98740[0:Res:9151.0,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(complement(complement(f5(u,v))),x) member(f23(complement(complement(f5(u,v))),x),second(w))*. % 299.97/300.38 98739[0:Res:9151.0,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(complement(complement(f12(u,v))),x) member(f23(complement(complement(f12(u,v))),x),first(w))*. % 299.97/300.38 98738[0:Res:9151.0,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(complement(complement(f9(u,v))),x) member(f23(complement(complement(f9(u,v))),x),first(w))*. % 299.97/300.38 98737[0:Res:9151.0,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(complement(complement(f6(u,v))),x) member(f23(complement(complement(f6(u,v))),x),first(w))*. % 299.97/300.38 98736[0:Res:9151.0,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(complement(complement(f4(u,v))),x) member(f23(complement(complement(f4(u,v))),x),first(w))*. % 299.97/300.38 99489[0:MRR:99406.0,92.1] little_set(u) || member(v,image(w,x)) equal(u,v)* -> member(f22(v,w,x),converse(y))* member(u,range_of(converse(complement(y))))*. % 299.97/300.38 99490[0:MRR:99405.0,117.1] little_set(u) || member(v,apply(w,x)) equal(u,x)* -> member(f28(v,w,x),converse(y))* member(u,domain_of(converse(complement(y))))*. % 299.97/300.38 100056[16:Res:59019.2,5066.1] || subset(u,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> equal(u,a) member(f1(u,a),second(y))*. % 299.97/300.38 100055[16:Res:59019.2,5025.1] || subset(u,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> equal(u,a) member(f1(u,a),first(y))*. % 299.97/300.38 100674[16:Res:59021.2,5066.1] || subset(u,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> equal(a,u) member(f1(a,u),second(y))*. % 299.97/300.38 100673[16:Res:59021.2,5025.1] || subset(u,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> equal(a,u) member(f1(a,u),first(y))*. % 299.97/300.38 100814[16:Res:59048.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(intersection(f7(u,v),x),a) member(f1(intersection(f7(u,v),x),a),second(w))*. % 299.97/300.38 100813[16:Res:59048.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(intersection(f5(u,v),x),a) member(f1(intersection(f5(u,v),x),a),second(w))*. % 299.97/300.38 100812[16:Res:59048.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(f12(u,v),x),a) member(f1(intersection(f12(u,v),x),a),first(w))*. % 299.97/300.38 100811[16:Res:59048.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(f9(u,v),x),a) member(f1(intersection(f9(u,v),x),a),first(w))*. % 299.97/300.38 100810[16:Res:59048.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(intersection(f6(u,v),x),a) member(f1(intersection(f6(u,v),x),a),first(w))*. % 299.97/300.38 100809[16:Res:59048.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(intersection(f4(u,v),x),a) member(f1(intersection(f4(u,v),x),a),first(w))*. % 299.97/300.38 100931[16:Res:59049.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(intersection(x,f7(u,v)),a) member(f1(intersection(x,f7(u,v)),a),second(w))*. % 299.97/300.38 100930[16:Res:59049.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(intersection(x,f5(u,v)),a) member(f1(intersection(x,f5(u,v)),a),second(w))*. % 299.97/300.38 100929[16:Res:59049.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,f12(u,v)),a) member(f1(intersection(x,f12(u,v)),a),first(w))*. % 299.97/300.38 100928[16:Res:59049.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,f9(u,v)),a) member(f1(intersection(x,f9(u,v)),a),first(w))*. % 299.97/300.38 100927[16:Res:59049.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(intersection(x,f6(u,v)),a) member(f1(intersection(x,f6(u,v)),a),first(w))*. % 299.97/300.38 100926[16:Res:59049.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(intersection(x,f4(u,v)),a) member(f1(intersection(x,f4(u,v)),a),first(w))*. % 299.97/300.38 101032[16:Res:59050.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(intersection(f7(u,v),x),a) member(f1(a,intersection(f7(u,v),x)),second(w))*. % 299.97/300.38 101031[16:Res:59050.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(intersection(f5(u,v),x),a) member(f1(a,intersection(f5(u,v),x)),second(w))*. % 299.97/300.38 101030[16:Res:59050.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(f12(u,v),x),a) member(f1(a,intersection(f12(u,v),x)),first(w))*. % 299.97/300.38 101029[16:Res:59050.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(f9(u,v),x),a) member(f1(a,intersection(f9(u,v),x)),first(w))*. % 299.97/300.38 101028[16:Res:59050.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(intersection(f6(u,v),x),a) member(f1(a,intersection(f6(u,v),x)),first(w))*. % 299.97/300.38 101027[16:Res:59050.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(intersection(f4(u,v),x),a) member(f1(a,intersection(f4(u,v),x)),first(w))*. % 299.97/300.38 101171[16:Res:59051.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(intersection(x,f7(u,v)),a) member(f1(a,intersection(x,f7(u,v))),second(w))*. % 299.97/300.38 101170[16:Res:59051.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(intersection(x,f5(u,v)),a) member(f1(a,intersection(x,f5(u,v))),second(w))*. % 299.97/300.38 101169[16:Res:59051.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,f12(u,v)),a) member(f1(a,intersection(x,f12(u,v))),first(w))*. % 299.97/300.38 101168[16:Res:59051.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,f9(u,v)),a) member(f1(a,intersection(x,f9(u,v))),first(w))*. % 299.97/300.38 101167[16:Res:59051.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(intersection(x,f6(u,v)),a) member(f1(a,intersection(x,f6(u,v))),first(w))*. % 299.97/300.38 101166[16:Res:59051.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(intersection(x,f4(u,v)),a) member(f1(a,intersection(x,f4(u,v))),first(w))*. % 299.97/300.38 101365[16:Res:59052.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(restrict(f7(u,v),x),a) member(f1(restrict(f7(u,v),x),a),second(w))*. % 299.97/300.38 101364[16:Res:59052.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(restrict(f5(u,v),x),a) member(f1(restrict(f5(u,v),x),a),second(w))*. % 299.97/300.38 101363[16:Res:59052.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(restrict(f12(u,v),x),a) member(f1(restrict(f12(u,v),x),a),first(w))*. % 299.97/300.38 101362[16:Res:59052.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(restrict(f9(u,v),x),a) member(f1(restrict(f9(u,v),x),a),first(w))*. % 299.97/300.38 101361[16:Res:59052.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(restrict(f6(u,v),x),a) member(f1(restrict(f6(u,v),x),a),first(w))*. % 299.97/300.38 101360[16:Res:59052.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(restrict(f4(u,v),x),a) member(f1(restrict(f4(u,v),x),a),first(w))*. % 299.97/300.38 101624[16:Res:59053.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(restrict(f7(u,v),x),a) member(f1(a,restrict(f7(u,v),x)),second(w))*. % 299.97/300.38 101623[16:Res:59053.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(restrict(f5(u,v),x),a) member(f1(a,restrict(f5(u,v),x)),second(w))*. % 299.97/300.38 101622[16:Res:59053.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(restrict(f12(u,v),x),a) member(f1(a,restrict(f12(u,v),x)),first(w))*. % 299.97/300.38 101621[16:Res:59053.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(restrict(f9(u,v),x),a) member(f1(a,restrict(f9(u,v),x)),first(w))*. % 299.97/300.38 101620[16:Res:59053.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(restrict(f6(u,v),x),a) member(f1(a,restrict(f6(u,v),x)),first(w))*. % 299.97/300.38 101619[16:Res:59053.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(restrict(f4(u,v),x),a) member(f1(a,restrict(f4(u,v),x)),first(w))*. % 299.97/300.38 101766[16:Res:57867.1,5066.1] || disjoint(complement(f30(u,v,w)),x)* member(u,compose(v,w)) equal(y,u)* -> equal(x,a) member(f24(x),second(y))*. % 299.97/300.38 101765[16:Res:57867.1,5025.1] || disjoint(complement(f29(u,v,w)),x)* member(u,compose(v,w)) equal(y,u)* -> equal(x,a) member(f24(x),first(y))*. % 299.97/300.38 101902[0:Res:3813.2,5065.1] || disjoint(u,universal_set) member(v,second(w)) equal(x,w) -> equal(f7(v,w),u) member(f1(f7(v,w),u),second(x))*. % 299.97/300.38 101901[0:Res:3813.2,5064.1] || disjoint(u,universal_set) member(v,first(w)) equal(x,w) -> equal(f5(v,w),u) member(f1(f5(v,w),u),second(x))*. % 299.97/300.38 101900[0:Res:3813.2,5024.1] || disjoint(u,universal_set) member(v,flip_range_of(w)) equal(x,v) -> equal(f12(v,w),u) member(f1(f12(v,w),u),first(x))*. % 299.97/300.38 101899[0:Res:3813.2,5022.1] || disjoint(u,universal_set) member(v,rotate_right(w)) equal(x,v) -> equal(f9(v,w),u) member(f1(f9(v,w),u),first(x))*. % 299.97/300.38 101898[0:Res:3813.2,5020.1] || disjoint(u,universal_set) member(v,second(w)) equal(x,w) -> equal(f6(v,w),u) member(f1(f6(v,w),u),first(x))*. % 299.97/300.38 101897[0:Res:3813.2,5019.1] || disjoint(u,universal_set) member(v,first(w)) equal(x,w) -> equal(f4(v,w),u) member(f1(f4(v,w),u),first(x))*. % 299.97/300.38 101883[0:Res:3813.2,1421.0] || disjoint(u,universal_set) -> equal(ordered_pair(v,w),u) equal(f1(ordered_pair(v,w),u),non_ordered_pair(v,w))** equal(f1(ordered_pair(v,w),u),singleton_set(v)). % 299.97/300.38 101851[0:Res:3813.2,1163.0] || disjoint(u,universal_set) member(v,w) -> equal(converse(v),u) member(ordered_pair(second(f1(converse(v),u)),first(f1(converse(v),u))),sigma(w))*. % 299.97/300.38 102035[0:Res:3831.2,5065.1] || disjoint(u,universal_set) member(v,second(w)) equal(x,w) -> equal(u,f7(v,w)) member(f1(u,f7(v,w)),second(x))*. % 299.97/300.38 102034[0:Res:3831.2,5064.1] || disjoint(u,universal_set) member(v,first(w)) equal(x,w) -> equal(u,f5(v,w)) member(f1(u,f5(v,w)),second(x))*. % 299.97/300.38 102033[0:Res:3831.2,5024.1] || disjoint(u,universal_set) member(v,flip_range_of(w)) equal(x,v) -> equal(u,f12(v,w)) member(f1(u,f12(v,w)),first(x))*. % 299.97/300.38 102032[0:Res:3831.2,5022.1] || disjoint(u,universal_set) member(v,rotate_right(w)) equal(x,v) -> equal(u,f9(v,w)) member(f1(u,f9(v,w)),first(x))*. % 299.97/300.38 102031[0:Res:3831.2,5020.1] || disjoint(u,universal_set) member(v,second(w)) equal(x,w) -> equal(u,f6(v,w)) member(f1(u,f6(v,w)),first(x))*. % 299.97/300.38 102030[0:Res:3831.2,5019.1] || disjoint(u,universal_set) member(v,first(w)) equal(x,w) -> equal(u,f4(v,w)) member(f1(u,f4(v,w)),first(x))*. % 299.97/300.38 102017[0:Res:3831.2,1421.0] || disjoint(u,universal_set) -> equal(u,ordered_pair(v,w)) equal(f1(u,ordered_pair(v,w)),non_ordered_pair(v,w))** equal(f1(u,ordered_pair(v,w)),singleton_set(v)). % 299.97/300.38 101985[0:Res:3831.2,1163.0] || disjoint(u,universal_set) member(v,w) -> equal(u,converse(v)) member(ordered_pair(second(f1(u,converse(v))),first(f1(u,converse(v)))),sigma(w))*. % 299.97/300.38 103689[0:Res:4348.2,16184.0] || member(u,compose(v,w)) subset(v,domain_of(intersection(cross_product(x,y),z)))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.38 103687[0:Res:4273.2,16184.0] || member(u,compose(v,w)) subset(w,domain_of(intersection(cross_product(x,y),z)))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.38 103681[0:Res:1351.1,16184.0] || member(u,image(v,intersection(w,domain_of(intersection(cross_product(x,y),z))))) -> member(f22(u,v,intersection(w,domain_of(intersection(cross_product(x,y),z)))),x)*. % 299.97/300.38 103626[0:Res:1286.1,16184.0] || member(u,apply(intersection(v,domain_of(intersection(cross_product(w,x),y))),z)) -> member(f28(u,intersection(v,domain_of(intersection(cross_product(w,x),y))),z),w)*. % 299.97/300.38 103614[0:Res:1350.1,16184.0] || member(u,image(v,intersection(domain_of(intersection(cross_product(w,x),y)),z))) -> member(f22(u,v,intersection(domain_of(intersection(cross_product(w,x),y)),z)),w)*. % 299.97/300.38 103583[0:Res:1285.1,16184.0] || member(u,apply(intersection(domain_of(intersection(cross_product(v,w),x)),y),z)) -> member(f28(u,intersection(domain_of(intersection(cross_product(v,w),x)),y),z),v)*. % 299.97/300.38 103931[0:Res:4348.2,16416.0] || member(u,compose(v,w)) subset(v,domain_of(intersection(x,cross_product(y,z))))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),y)*. % 299.97/300.38 103929[0:Res:4273.2,16416.0] || member(u,compose(v,w)) subset(w,domain_of(intersection(x,cross_product(y,z))))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),y)*. % 299.97/300.38 103923[0:Res:1351.1,16416.0] || member(u,image(v,intersection(w,domain_of(intersection(x,cross_product(y,z)))))) -> member(f22(u,v,intersection(w,domain_of(intersection(x,cross_product(y,z))))),y)*. % 299.97/300.38 103868[0:Res:1286.1,16416.0] || member(u,apply(intersection(v,domain_of(intersection(w,cross_product(x,y)))),z)) -> member(f28(u,intersection(v,domain_of(intersection(w,cross_product(x,y)))),z),x)*. % 299.97/300.38 103856[0:Res:1350.1,16416.0] || member(u,image(v,intersection(domain_of(intersection(w,cross_product(x,y))),z))) -> member(f22(u,v,intersection(domain_of(intersection(w,cross_product(x,y))),z)),x)*. % 299.97/300.38 103825[0:Res:1285.1,16416.0] || member(u,apply(intersection(domain_of(intersection(v,cross_product(w,x))),y),z)) -> member(f28(u,intersection(domain_of(intersection(v,cross_product(w,x))),y),z),w)*. % 299.97/300.38 104176[0:Res:4348.2,17439.0] || member(u,compose(v,w)) subset(v,range_of(intersection(cross_product(x,y),z)))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),y)*. % 299.97/300.38 104174[0:Res:4273.2,17439.0] || member(u,compose(v,w)) subset(w,range_of(intersection(cross_product(x,y),z)))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),y)*. % 299.97/300.38 104168[0:Res:1351.1,17439.0] || member(u,image(v,intersection(w,range_of(intersection(cross_product(x,y),z))))) -> member(f22(u,v,intersection(w,range_of(intersection(cross_product(x,y),z)))),y)*. % 299.97/300.38 104113[0:Res:1286.1,17439.0] || member(u,apply(intersection(v,range_of(intersection(cross_product(w,x),y))),z)) -> member(f28(u,intersection(v,range_of(intersection(cross_product(w,x),y))),z),x)*. % 299.97/300.38 104101[0:Res:1350.1,17439.0] || member(u,image(v,intersection(range_of(intersection(cross_product(w,x),y)),z))) -> member(f22(u,v,intersection(range_of(intersection(cross_product(w,x),y)),z)),x)*. % 299.97/300.38 104070[0:Res:1285.1,17439.0] || member(u,apply(intersection(range_of(intersection(cross_product(v,w),x)),y),z)) -> member(f28(u,intersection(range_of(intersection(cross_product(v,w),x)),y),z),w)*. % 299.97/300.38 104453[0:Res:4348.2,17546.0] || member(u,compose(v,w)) subset(v,range_of(intersection(x,cross_product(y,z))))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),z)*. % 299.97/300.38 104451[0:Res:4273.2,17546.0] || member(u,compose(v,w)) subset(w,range_of(intersection(x,cross_product(y,z))))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),z)*. % 299.97/300.38 104445[0:Res:1351.1,17546.0] || member(u,image(v,intersection(w,range_of(intersection(x,cross_product(y,z)))))) -> member(f22(u,v,intersection(w,range_of(intersection(x,cross_product(y,z))))),z)*. % 299.97/300.38 104390[0:Res:1286.1,17546.0] || member(u,apply(intersection(v,range_of(intersection(w,cross_product(x,y)))),z)) -> member(f28(u,intersection(v,range_of(intersection(w,cross_product(x,y)))),z),y)*. % 299.97/300.38 104378[0:Res:1350.1,17546.0] || member(u,image(v,intersection(range_of(intersection(w,cross_product(x,y))),z))) -> member(f22(u,v,intersection(range_of(intersection(w,cross_product(x,y))),z)),y)*. % 299.97/300.38 104347[0:Res:1285.1,17546.0] || member(u,apply(intersection(range_of(intersection(v,cross_product(w,x))),y),z)) -> member(f28(u,intersection(range_of(intersection(v,cross_product(w,x))),y),z),x)*. % 299.97/300.38 104757[0:MRR:104679.0,1340.1] little_set(u) || member(v,image(w,x)) equal(u,v)* -> member(f22(v,w,x),complement(y))* member(u,range_of(union(y,z)))*. % 299.97/300.38 104758[0:MRR:104678.0,1275.1] little_set(u) || member(v,apply(w,x)) equal(u,x)* -> member(f28(v,w,x),complement(y))* member(u,domain_of(union(y,z)))*. % 299.97/300.38 105103[0:MRR:105023.0,1340.1] little_set(u) || member(v,image(w,x)) equal(u,v)* -> member(f22(v,w,x),complement(y))* member(u,range_of(union(z,y)))*. % 299.97/300.38 105104[0:MRR:105022.0,1275.1] little_set(u) || member(v,apply(w,x)) equal(u,x)* -> member(f28(v,w,x),complement(y))* member(u,domain_of(union(z,y)))*. % 299.97/300.38 105406[0:Res:4348.2,26698.0] || member(u,compose(v,w)) subset(v,apply(cross_product(x,y),z))* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),sigma(y))*. % 299.97/300.38 105404[0:Res:4273.2,26698.0] || member(u,compose(v,w)) subset(w,apply(cross_product(x,y),z))* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),sigma(y))*. % 299.97/300.38 105393[0:Res:1556.1,26698.0] || member(u,image(intersection(v,apply(cross_product(w,x),y)),z)) -> member(first(f22(u,intersection(v,apply(cross_product(w,x),y)),z)),sigma(x))*. % 299.97/300.38 105392[0:Res:1344.1,26698.0] || member(u,image(v,cross_product(apply(cross_product(w,x),y),z))) -> member(first(f22(u,v,cross_product(apply(cross_product(w,x),y),z))),sigma(x))*. % 299.97/300.38 105389[0:Res:1555.1,26698.0] || member(u,image(intersection(apply(cross_product(v,w),x),y),z)) -> member(first(f22(u,intersection(apply(cross_product(v,w),x),y),z)),sigma(w))*. % 299.97/300.38 105327[0:Res:1280.1,26698.0] || member(u,apply(cross_product(v,apply(cross_product(w,x),y)),z)) -> member(second(f28(u,cross_product(v,apply(cross_product(w,x),y)),z)),sigma(x))*. % 299.97/300.38 105302[0:Res:6.1,26698.0] || -> equal(u,apply(cross_product(v,w),x)) member(f1(u,apply(cross_product(v,w),x)),u)* member(f1(u,apply(cross_product(v,w),x)),sigma(w))*. % 299.97/300.38 105249[0:Res:6.2,26698.0] || -> equal(apply(cross_product(u,v),w),x) member(f1(apply(cross_product(u,v),w),x),x)* member(f1(apply(cross_product(u,v),w),x),sigma(v))*. % 299.97/300.38 11023[2:Res:142.3,10966.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),universal_set)*. % 299.97/300.38 11022[2:Res:143.3,10966.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),universal_set)*. % 299.97/300.38 13303[0:Res:538.1,8.0] || -> disjoint(cross_product(u,non_ordered_pair(v,w)),x) equal(second(f23(cross_product(u,non_ordered_pair(v,w)),x)),w)** equal(second(f23(cross_product(u,non_ordered_pair(v,w)),x)),v)**. % 299.97/300.38 13346[0:Res:543.1,8.0] || -> disjoint(u,cross_product(v,non_ordered_pair(w,x))) equal(second(f23(u,cross_product(v,non_ordered_pair(w,x)))),x)** equal(second(f23(u,cross_product(v,non_ordered_pair(w,x)))),w)**. % 299.97/300.38 13420[0:Res:551.1,8.0] || -> disjoint(cross_product(non_ordered_pair(u,v),w),x) equal(first(f23(cross_product(non_ordered_pair(u,v),w),x)),v)** equal(first(f23(cross_product(non_ordered_pair(u,v),w),x)),u)**. % 299.97/300.38 13498[0:Res:556.1,8.0] || -> disjoint(u,cross_product(non_ordered_pair(v,w),x)) equal(first(f23(u,cross_product(non_ordered_pair(v,w),x))),w)** equal(first(f23(u,cross_product(non_ordered_pair(v,w),x))),v)**. % 299.97/300.38 13639[0:Res:539.1,8.0] || -> subset(cross_product(u,non_ordered_pair(v,w)),x) equal(second(f17(cross_product(u,non_ordered_pair(v,w)),x)),w)** equal(second(f17(cross_product(u,non_ordered_pair(v,w)),x)),v)**. % 299.97/300.38 13702[0:Res:552.1,8.0] || -> subset(cross_product(non_ordered_pair(u,v),w),x) equal(first(f17(cross_product(non_ordered_pair(u,v),w),x)),v)** equal(first(f17(cross_product(non_ordered_pair(u,v),w),x)),u)**. % 299.97/300.38 16176[3:Res:493.1,6192.1] || member(u,domain_of(intersection(second(v),w))) member(v,x) equal(first(v),y) -> member(f8(u,intersection(second(v),w)),apply(x,y))*. % 299.97/300.38 16159[0:Res:493.1,8.0] || member(u,domain_of(intersection(non_ordered_pair(v,w),x)))* -> equal(f8(u,intersection(non_ordered_pair(v,w),x)),w) equal(f8(u,intersection(non_ordered_pair(v,w),x)),v). % 299.97/300.38 16407[3:Res:494.1,6192.1] || member(u,domain_of(intersection(v,second(w)))) member(w,x) equal(first(w),y) -> member(f8(u,intersection(v,second(w))),apply(x,y))*. % 299.97/300.38 16389[0:Res:494.1,8.0] || member(u,domain_of(intersection(v,non_ordered_pair(w,x))))* -> equal(f8(u,intersection(v,non_ordered_pair(w,x))),x) equal(f8(u,intersection(v,non_ordered_pair(w,x))),w). % 299.97/300.38 17134[3:Res:455.1,6192.1] || member(u,sigma(intersection(second(v),w))) member(v,x) equal(first(v),y) -> member(f16(u,intersection(second(v),w)),apply(x,y))*. % 299.97/300.38 17113[0:Res:455.1,8.0] || member(u,sigma(intersection(non_ordered_pair(v,w),x)))* -> equal(f16(u,intersection(non_ordered_pair(v,w),x)),w) equal(f16(u,intersection(non_ordered_pair(v,w),x)),v). % 299.97/300.38 17235[3:Res:456.1,6192.1] || member(u,sigma(intersection(v,second(w)))) member(w,x) equal(first(w),y) -> member(f16(u,intersection(v,second(w))),apply(x,y))*. % 299.97/300.38 17214[0:Res:456.1,8.0] || member(u,sigma(intersection(v,non_ordered_pair(w,x))))* -> equal(f16(u,intersection(v,non_ordered_pair(w,x))),x) equal(f16(u,intersection(v,non_ordered_pair(w,x))),w). % 299.97/300.38 17428[3:Res:426.1,6192.1] || member(u,range_of(intersection(second(v),w))) member(v,x) equal(first(v),y) -> member(f27(u,intersection(second(v),w)),apply(x,y))*. % 299.97/300.38 17407[0:Res:426.1,8.0] || member(u,range_of(intersection(non_ordered_pair(v,w),x)))* -> equal(f27(u,intersection(non_ordered_pair(v,w),x)),w) equal(f27(u,intersection(non_ordered_pair(v,w),x)),v). % 299.97/300.38 17535[3:Res:427.1,6192.1] || member(u,range_of(intersection(v,second(w)))) member(w,x) equal(first(w),y) -> member(f27(u,intersection(v,second(w))),apply(x,y))*. % 299.97/300.38 17514[0:Res:427.1,8.0] || member(u,range_of(intersection(v,non_ordered_pair(w,x))))* -> equal(f27(u,intersection(v,non_ordered_pair(w,x))),x) equal(f27(u,intersection(v,non_ordered_pair(w,x))),w). % 299.97/300.38 17921[0:Res:395.0,1014.0] || -> subset(u,complement(converse(cross_product(v,w)))) member(first(ordered_pair(second(f17(u,complement(converse(cross_product(v,w))))),first(f17(u,complement(converse(cross_product(v,w))))))),v)*. % 299.97/300.38 17911[0:Res:4258.0,1014.0] || -> equal(complement(converse(cross_product(u,v))),universal_set) member(first(ordered_pair(second(f1(complement(converse(cross_product(u,v))),universal_set)),first(f1(complement(converse(cross_product(u,v))),universal_set)))),u)*. % 299.97/300.38 18045[0:Res:395.0,1015.0] || -> subset(u,complement(converse(cross_product(v,w)))) member(second(ordered_pair(second(f17(u,complement(converse(cross_product(v,w))))),first(f17(u,complement(converse(cross_product(v,w))))))),w)*. % 299.97/300.38 18035[0:Res:4258.0,1015.0] || -> equal(complement(converse(cross_product(u,v))),universal_set) member(second(ordered_pair(second(f1(complement(converse(cross_product(u,v))),universal_set)),first(f1(complement(converse(cross_product(u,v))),universal_set)))),v)*. % 299.97/300.38 18190[3:Res:4115.1,6192.1] ordered_pair_predicate(u) || member(v,w)* equal(first(v),x)* -> member(u,converse(complement(second(v))))* member(ordered_pair(second(u),first(u)),apply(w,x))*. % 299.97/300.38 18165[0:Res:4115.1,1014.0] ordered_pair_predicate(u) || -> member(u,converse(complement(converse(cross_product(v,w)))))* member(first(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u))))),v)*. % 299.97/300.38 18164[0:Res:4115.1,1015.0] ordered_pair_predicate(u) || -> member(u,converse(complement(converse(cross_product(v,w)))))* member(second(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u))))),w)*. % 299.97/300.38 18289[0:Res:279.1,1354.0] || -> single_valued_set(intersection(u,image(v,cross_product(w,x)))) member(ordered_pair(f19(intersection(u,image(v,cross_product(w,x)))),f21(intersection(u,image(v,cross_product(w,x))))),x)*. % 299.97/300.38 18426[0:Res:280.1,1354.0] || -> single_valued_set(intersection(u,image(v,cross_product(w,x)))) member(ordered_pair(f19(intersection(u,image(v,cross_product(w,x)))),f20(intersection(u,image(v,cross_product(w,x))))),x)*. % 299.97/300.38 18508[0:Res:287.1,1354.0] || -> single_valued_set(intersection(image(u,cross_product(v,w)),x)) member(ordered_pair(f19(intersection(image(u,cross_product(v,w)),x)),f21(intersection(image(u,cross_product(v,w)),x))),w)*. % 299.97/300.38 18650[0:Res:288.1,1354.0] || -> single_valued_set(intersection(image(u,cross_product(v,w)),x)) member(ordered_pair(f19(intersection(image(u,cross_product(v,w)),x)),f20(intersection(image(u,cross_product(v,w)),x))),w)*. % 299.97/300.38 21147[2:Res:3651.2,616.1] || member(first(f27(restrict(u,v),w)),cross_product(v,universal_set))* member(first(f27(restrict(u,v),w)),u)* member(restrict(u,v),range_of(w)) -> . % 299.97/300.38 21141[0:Res:3651.2,377.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),cross_product(v,universal_set))* member(ordered_pair(second(u),first(u)),w)* -> member(u,converse(restrict(w,v)))*. % 299.97/300.38 21242[0:Res:4115.1,1421.0] ordered_pair_predicate(u) || -> member(u,converse(complement(ordered_pair(v,w))))* equal(ordered_pair(second(u),first(u)),non_ordered_pair(v,w))* equal(ordered_pair(second(u),first(u)),singleton_set(v)). % 299.97/300.38 21232[0:Res:93.1,1421.0] || member(u,image(v,ordered_pair(w,x)))* -> equal(f22(u,v,ordered_pair(w,x)),non_ordered_pair(w,x)) equal(f22(u,v,ordered_pair(w,x)),singleton_set(w)). % 299.97/300.38 21220[0:Res:118.1,1421.0] || member(u,apply(ordered_pair(v,w),x))* -> equal(f28(u,ordered_pair(v,w),x),non_ordered_pair(v,w)) equal(f28(u,ordered_pair(v,w),x),singleton_set(v)). % 299.97/300.38 21898[0:Res:281.1,1009.0] || subset(u,v) -> disjoint(w,intersection(x,converse(u))) member(ordered_pair(second(f23(w,intersection(x,converse(u)))),first(f23(w,intersection(x,converse(u))))),v)*. % 299.97/300.38 21882[0:Res:6.1,1009.0] || subset(u,v) -> equal(w,converse(u)) member(f1(w,converse(u)),w) member(ordered_pair(second(f1(w,converse(u))),first(f1(w,converse(u)))),v)*. % 299.97/300.38 21874[0:Res:278.1,1009.0] || subset(u,v) -> subset(intersection(w,converse(u)),x) member(ordered_pair(second(f17(intersection(w,converse(u)),x)),first(f17(intersection(w,converse(u)),x))),v)*. % 299.97/300.38 21871[0:Res:277.1,1009.0] || subset(u,v) -> disjoint(intersection(w,converse(u)),x) member(ordered_pair(second(f23(intersection(w,converse(u)),x)),first(f23(intersection(w,converse(u)),x))),v)*. % 299.97/300.38 21869[0:Res:289.1,1009.0] || subset(u,v) -> disjoint(w,intersection(converse(u),x)) member(ordered_pair(second(f23(w,intersection(converse(u),x))),first(f23(w,intersection(converse(u),x)))),v)*. % 299.97/300.38 21858[0:Res:6.2,1009.0] || subset(u,v) -> equal(converse(u),w) member(f1(converse(u),w),w) member(ordered_pair(second(f1(converse(u),w)),first(f1(converse(u),w))),v)*. % 299.97/300.38 21854[0:Res:285.1,1009.0] || subset(u,v) -> disjoint(intersection(converse(u),w),x) member(ordered_pair(second(f23(intersection(converse(u),w),x)),first(f23(intersection(converse(u),w),x))),v)*. % 299.97/300.38 21852[0:Res:286.1,1009.0] || subset(u,v) -> subset(intersection(converse(u),w),x) member(ordered_pair(second(f17(intersection(converse(u),w),x)),first(f17(intersection(converse(u),w),x))),v)*. % 299.97/300.38 22337[0:Res:5009.3,1349.1] little_set(u) little_set(v) || member(f22(w,x,complement(first(ordered_pair(v,u)))),v)* member(w,image(x,complement(first(ordered_pair(v,u))))) -> . % 299.97/300.38 22331[0:Res:5009.3,1284.1] little_set(u) little_set(v) || member(f28(w,complement(first(ordered_pair(v,u))),x),v)* member(w,apply(complement(first(ordered_pair(v,u))),x)) -> . % 299.97/300.38 22504[0:Res:554.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(cross_product(f2(u),w)) member(first(ordered_pair(f19(cross_product(f2(u),w)),f20(cross_product(f2(u),w)))),first(v))*. % 299.97/300.38 22503[0:Res:553.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(cross_product(f2(u),w)) member(first(ordered_pair(f19(cross_product(f2(u),w)),f21(cross_product(f2(u),w)))),first(v))*. % 299.97/300.38 22467[0:Res:541.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(cross_product(w,f2(u))) member(second(ordered_pair(f19(cross_product(w,f2(u))),f20(cross_product(w,f2(u))))),first(v))*. % 299.97/300.38 22466[0:Res:540.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(cross_product(w,f2(u))) member(second(ordered_pair(f19(cross_product(w,f2(u))),f21(cross_product(w,f2(u))))),first(v))*. % 299.97/300.38 22581[0:Res:5054.3,1349.1] little_set(u) little_set(v) || member(f22(w,x,complement(second(ordered_pair(v,u)))),u)* member(w,image(x,complement(second(ordered_pair(v,u))))) -> . % 299.97/300.38 22575[0:Res:5054.3,1284.1] little_set(u) little_set(v) || member(f28(w,complement(second(ordered_pair(v,u))),x),u)* member(w,apply(complement(second(ordered_pair(v,u))),x)) -> . % 299.97/300.38 22712[0:Res:554.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(cross_product(f3(u),w)) member(first(ordered_pair(f19(cross_product(f3(u),w)),f20(cross_product(f3(u),w)))),second(v))*. % 299.97/300.38 22711[0:Res:553.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(cross_product(f3(u),w)) member(first(ordered_pair(f19(cross_product(f3(u),w)),f21(cross_product(f3(u),w)))),second(v))*. % 299.97/300.38 22675[0:Res:541.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(cross_product(w,f3(u))) member(second(ordered_pair(f19(cross_product(w,f3(u))),f20(cross_product(w,f3(u))))),second(v))*. % 299.97/300.38 22674[0:Res:540.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> single_valued_set(cross_product(w,f3(u))) member(second(ordered_pair(f19(cross_product(w,f3(u))),f21(cross_product(w,f3(u))))),second(v))*. % 299.97/300.38 22838[0:Res:3821.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),powerset(w)) subset(f1(f3(u),powerset(w)),w)* member(f1(f3(u),powerset(w)),second(v))*. % 299.97/300.38 22837[0:Res:3821.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),powerset(w)) subset(f1(f2(u),powerset(w)),w)* member(f1(f2(u),powerset(w)),first(v))*. % 299.97/300.38 22933[0:Res:3839.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(powerset(w),f3(u)) subset(f1(powerset(w),f3(u)),w)* member(f1(powerset(w),f3(u)),second(v))*. % 299.97/300.38 22932[0:Res:3839.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(powerset(w),f2(u)) subset(f1(powerset(w),f2(u)),w)* member(f1(powerset(w),f2(u)),first(v))*. % 299.97/300.38 23025[0:Res:1339.2,1421.0] || member(u,image(v,w))* subset(w,ordered_pair(x,y))* -> equal(f22(u,v,w),non_ordered_pair(x,y))* equal(f22(u,v,w),singleton_set(x)). % 299.97/300.38 23117[0:Res:1274.2,1421.0] || member(u,apply(v,w))* subset(v,ordered_pair(x,y))* -> equal(f28(u,v,w),non_ordered_pair(x,y))* equal(f28(u,v,w),singleton_set(x)). % 299.97/300.38 23190[0:Res:1350.1,314.0] || member(u,image(v,intersection(intersection(complement(w),complement(x)),y))) member(f22(u,v,intersection(intersection(complement(w),complement(x)),y)),union(w,x))* -> . % 299.97/300.38 23275[0:Res:1351.1,314.0] || member(u,image(v,intersection(w,intersection(complement(x),complement(y))))) member(f22(u,v,intersection(w,intersection(complement(x),complement(y)))),union(x,y))* -> . % 299.97/300.38 23360[0:Res:1285.1,314.0] || member(u,apply(intersection(intersection(complement(v),complement(w)),x),y)) member(f28(u,intersection(intersection(complement(v),complement(w)),x),y),union(v,w))* -> . % 299.97/300.38 23461[0:Res:1286.1,314.0] || member(u,apply(intersection(v,intersection(complement(w),complement(x))),y)) member(f28(u,intersection(v,intersection(complement(w),complement(x))),y),union(w,x))* -> . % 299.97/300.38 23953[0:Res:33.2,1227.1] || member(ordered_pair(second(u),first(u)),v)* member(ordered_pair(second(u),first(u)),w)* member(u,converse(x))* disjoint(intersection(w,v),x)* -> . % 299.97/300.38 23952[0:Res:120.1,1227.1] || member(ordered_pair(second(u),first(u)),apply(v,w)) member(u,converse(x)) disjoint(second(f28(ordered_pair(second(u),first(u)),v,w)),x)* -> . % 299.97/300.38 24344[0:Res:957.2,1163.0] || subset(u,converse(v))* member(v,w)* -> single_valued_set(u) member(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),sigma(w))*. % 299.97/300.38 24343[0:Res:956.2,1163.0] || subset(u,converse(v))* member(v,w)* -> single_valued_set(u) member(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),sigma(w))*. % 299.97/300.38 24284[0:Res:86.1,1163.0] || member(u,v) -> single_valued_set(converse(u)) member(ordered_pair(second(ordered_pair(f19(converse(u)),f20(converse(u)))),first(ordered_pair(f19(converse(u)),f20(converse(u))))),sigma(v))*. % 299.97/300.38 24283[0:Res:87.1,1163.0] || member(u,v) -> single_valued_set(converse(u)) member(ordered_pair(second(ordered_pair(f19(converse(u)),f21(converse(u)))),first(ordered_pair(f19(converse(u)),f21(converse(u))))),sigma(v))*. % 299.97/300.38 24936[0:Res:3651.2,1141.2] little_set(u) || member(non_ordered_pair(v,w),cross_product(x,universal_set))* member(non_ordered_pair(v,w),y)* equal(u,w)* -> member(u,sigma(restrict(y,x)))*. % 299.97/300.38 24954[3:SSi:24921.0,5742.0,11.1] little_set(u) || member(second(non_ordered_pair(v,w)),x)* member(first(non_ordered_pair(v,w)),y)* equal(u,w)* -> member(u,sigma(cross_product(y,x)))*. % 299.97/300.38 24992[0:Res:3651.2,1142.2] little_set(u) || member(non_ordered_pair(v,w),cross_product(x,universal_set))* member(non_ordered_pair(v,w),y)* equal(u,v)* -> member(u,sigma(restrict(y,x)))*. % 299.97/300.38 25009[3:SSi:24977.0,5742.0,11.1] little_set(u) || member(second(non_ordered_pair(v,w)),x)* member(first(non_ordered_pair(v,w)),y)* equal(u,v)* -> member(u,sigma(cross_product(y,x)))*. % 299.97/300.38 25802[0:Res:1344.1,5063.1] ordered_pair_predicate(u) || member(v,image(w,cross_product(f3(u),x))) equal(y,u) -> member(first(f22(v,w,cross_product(f3(u),x))),second(y))*. % 299.97/300.38 25801[0:Res:1344.1,5018.1] ordered_pair_predicate(u) || member(v,image(w,cross_product(f2(u),x))) equal(y,u) -> member(first(f22(v,w,cross_product(f2(u),x))),first(y))*. % 299.97/300.38 25938[0:Res:1555.1,5063.1] ordered_pair_predicate(u) || member(v,image(intersection(f3(u),w),x)) equal(y,u) -> member(first(f22(v,intersection(f3(u),w),x)),second(y))*. % 299.97/300.38 25937[0:Res:1555.1,5018.1] ordered_pair_predicate(u) || member(v,image(intersection(f2(u),w),x)) equal(y,u) -> member(first(f22(v,intersection(f2(u),w),x)),first(y))*. % 299.97/300.38 26095[0:Res:1556.1,5063.1] ordered_pair_predicate(u) || member(v,image(intersection(w,f3(u)),x)) equal(y,u) -> member(first(f22(v,intersection(w,f3(u)),x)),second(y))*. % 299.97/300.38 26094[0:Res:1556.1,5018.1] ordered_pair_predicate(u) || member(v,image(intersection(w,f2(u)),x)) equal(y,u) -> member(first(f22(v,intersection(w,f2(u)),x)),first(y))*. % 299.97/300.38 26164[0:Res:1280.1,5063.1] ordered_pair_predicate(u) || member(v,apply(cross_product(w,f3(u)),x)) equal(y,u) -> member(second(f28(v,cross_product(w,f3(u)),x)),second(y))*. % 299.97/300.38 26163[0:Res:1280.1,5018.1] ordered_pair_predicate(u) || member(v,apply(cross_product(w,f2(u)),x)) equal(y,u) -> member(second(f28(v,cross_product(w,f2(u)),x)),first(y))*. % 299.97/300.38 26697[0:Res:5054.3,1562.1] little_set(u) little_set(v) || member(second(f28(w,x,y)),u)* member(w,apply(x,y)) -> member(w,sigma(second(ordered_pair(v,u))))*. % 299.97/300.38 26696[0:Res:5009.3,1562.1] little_set(u) little_set(v) || member(second(f28(w,x,y)),v)* member(w,apply(x,y)) -> member(w,sigma(first(ordered_pair(v,u))))*. % 299.97/300.38 26675[0:Res:10.2,1562.1] little_set(second(f28(u,v,w))) || equal(second(f28(u,v,w)),x)* member(u,apply(v,w)) -> member(u,sigma(non_ordered_pair(y,x)))*. % 299.97/300.38 26674[0:Res:9.2,1562.1] little_set(second(f28(u,v,w))) || equal(second(f28(u,v,w)),x)* member(u,apply(v,w)) -> member(u,sigma(non_ordered_pair(x,y)))*. % 299.97/300.38 26862[0:Res:5054.3,1542.1] little_set(u) little_set(v) || member(first(f22(w,x,y)),u)* member(w,image(x,y)) disjoint(second(ordered_pair(v,u)),x)* -> . % 299.97/300.38 26861[0:Res:5009.3,1542.1] little_set(u) little_set(v) || member(first(f22(w,x,y)),v)* member(w,image(x,y)) disjoint(first(ordered_pair(v,u)),x)* -> . % 299.97/300.38 28037[0:Res:5054.3,3653.2] little_set(u) little_set(v) || member(intersection(w,x),u)* member(y,x)* member(y,w)* -> member(y,sigma(second(ordered_pair(v,u))))*. % 299.97/300.38 28036[0:Res:5009.3,3653.2] little_set(u) little_set(v) || member(intersection(w,x),v)* member(y,x)* member(y,w)* -> member(y,sigma(first(ordered_pair(v,u))))*. % 299.97/300.38 28034[0:Res:1080.2,3653.2] little_set(intersection(u,v)) || equal(intersection(u,v),non_ordered_pair(w,x))* member(y,v)* member(y,u)* -> member(y,sigma(ordered_pair(w,x)))*. % 299.97/300.38 28332[0:Res:5054.3,3810.0] little_set(u) little_set(v) || member(f1(w,x),u)* disjoint(second(ordered_pair(v,u)),x)* -> equal(w,x) member(f1(w,x),w)*. % 299.97/300.38 28331[0:Res:5009.3,3810.0] little_set(u) little_set(v) || member(f1(w,x),v)* disjoint(first(ordered_pair(v,u)),x)* -> equal(w,x) member(f1(w,x),w)*. % 299.97/300.38 28579[0:Res:5054.3,3811.0] little_set(u) little_set(v) || member(w,u) -> equal(x,w) member(f1(x,w),x)* member(f1(x,w),sigma(second(ordered_pair(v,u))))*. % 299.97/300.38 28578[0:Res:5009.3,3811.0] little_set(u) little_set(v) || member(w,v) -> equal(x,w) member(f1(x,w),x)* member(f1(x,w),sigma(first(ordered_pair(v,u))))*. % 299.97/300.38 28509[0:Res:955.2,3811.0] || subset(u,v) -> subset(u,w) equal(x,f17(u,w)) member(f1(x,f17(u,w)),x)* member(f1(x,f17(u,w)),sigma(v))*. % 299.97/300.38 28508[0:Res:395.0,3811.0] || -> subset(u,complement(v)) equal(w,f17(u,complement(v))) member(f1(w,f17(u,complement(v))),w)* member(f1(w,f17(u,complement(v))),sigma(v))*. % 299.97/300.38 28506[0:Res:961.2,3811.0] || subset(u,v) -> disjoint(w,u) equal(x,f23(w,u)) member(f1(x,f23(w,u)),x)* member(f1(x,f23(w,u)),sigma(v))*. % 299.97/300.38 28504[0:Res:954.2,3811.0] || subset(u,v) -> disjoint(u,w) equal(x,f23(u,w)) member(f1(x,f23(u,w)),x)* member(f1(x,f23(u,w)),sigma(v))*. % 299.97/300.38 28444[0:Res:4258.0,3811.0] || -> equal(complement(u),universal_set) equal(v,f1(complement(u),universal_set)) member(f1(v,f1(complement(u),universal_set)),v)* member(f1(v,f1(complement(u),universal_set)),sigma(u))*. % 299.97/300.38 28704[0:Res:5054.3,3828.0] little_set(u) little_set(v) || member(f1(w,x),u)* disjoint(second(ordered_pair(v,u)),w)* -> equal(w,x) member(f1(w,x),x)*. % 299.97/300.38 28703[0:Res:5009.3,3828.0] little_set(u) little_set(v) || member(f1(w,x),v)* disjoint(first(ordered_pair(v,u)),w)* -> equal(w,x) member(f1(w,x),x)*. % 299.97/300.38 28956[0:Res:5054.3,3829.0] little_set(u) little_set(v) || member(w,u) -> equal(w,x) member(f1(w,x),x)* member(f1(w,x),sigma(second(ordered_pair(v,u))))*. % 299.97/300.38 28955[0:Res:5009.3,3829.0] little_set(u) little_set(v) || member(w,v) -> equal(w,x) member(f1(w,x),x)* member(f1(w,x),sigma(first(ordered_pair(v,u))))*. % 299.97/300.38 28886[0:Res:955.2,3829.0] || subset(u,v) -> subset(u,w) equal(f17(u,w),x) member(f1(f17(u,w),x),x)* member(f1(f17(u,w),x),sigma(v))*. % 299.97/300.38 28885[0:Res:395.0,3829.0] || -> subset(u,complement(v)) equal(f17(u,complement(v)),w) member(f1(f17(u,complement(v)),w),w)* member(f1(f17(u,complement(v)),w),sigma(v))*. % 299.97/300.38 28883[0:Res:961.2,3829.0] || subset(u,v) -> disjoint(w,u) equal(f23(w,u),x) member(f1(f23(w,u),x),x)* member(f1(f23(w,u),x),sigma(v))*. % 299.97/300.38 28881[0:Res:954.2,3829.0] || subset(u,v) -> disjoint(u,w) equal(f23(u,w),x) member(f1(f23(u,w),x),x)* member(f1(f23(u,w),x),sigma(v))*. % 299.97/300.38 28821[0:Res:4258.0,3829.0] || -> equal(complement(u),universal_set) equal(f1(complement(u),universal_set),v) member(f1(f1(complement(u),universal_set),v),v)* member(f1(f1(complement(u),universal_set),v),sigma(u))*. % 299.97/300.38 29841[0:Res:556.1,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(x,cross_product(f4(u,v),y)) member(first(f23(x,cross_product(f4(u,v),y))),first(w))*. % 299.97/300.38 29838[0:Res:552.1,5019.1] || member(u,first(v)) equal(w,v) -> subset(cross_product(f4(u,v),x),y) member(first(f17(cross_product(f4(u,v),x),y)),first(w))*. % 299.97/300.38 29837[0:Res:551.1,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(cross_product(f4(u,v),x),y) member(first(f23(cross_product(f4(u,v),x),y)),first(w))*. % 299.97/300.38 29821[0:Res:4115.1,5019.1] ordered_pair_predicate(u) || member(v,first(w)) equal(x,w)* -> member(u,converse(complement(f4(v,w))))* member(ordered_pair(second(u),first(u)),first(x))*. % 299.97/300.38 29804[0:Res:543.1,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(x,cross_product(y,f4(u,v))) member(second(f23(x,cross_product(y,f4(u,v)))),first(w))*. % 299.97/300.38 29797[0:Res:539.1,5019.1] || member(u,first(v)) equal(w,v) -> subset(cross_product(x,f4(u,v)),y) member(second(f17(cross_product(x,f4(u,v)),y)),first(w))*. % 299.97/300.38 29796[0:Res:538.1,5019.1] || member(u,first(v)) equal(w,v) -> disjoint(cross_product(x,f4(u,v)),y) member(second(f23(cross_product(x,f4(u,v)),y)),first(w))*. % 299.97/300.38 29776[0:Res:94.1,5019.1] || member(u,image(f4(v,w),x)) member(v,first(w)) equal(y,w) -> member(first(f22(u,f4(v,w),x)),first(y))*. % 299.97/300.38 30254[0:Res:556.1,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(x,cross_product(f6(u,v),y)) member(first(f23(x,cross_product(f6(u,v),y))),first(w))*. % 299.97/300.38 30251[0:Res:552.1,5020.1] || member(u,second(v)) equal(w,v) -> subset(cross_product(f6(u,v),x),y) member(first(f17(cross_product(f6(u,v),x),y)),first(w))*. % 299.97/300.38 30250[0:Res:551.1,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(cross_product(f6(u,v),x),y) member(first(f23(cross_product(f6(u,v),x),y)),first(w))*. % 299.97/300.38 30234[0:Res:4115.1,5020.1] ordered_pair_predicate(u) || member(v,second(w)) equal(x,w)* -> member(u,converse(complement(f6(v,w))))* member(ordered_pair(second(u),first(u)),first(x))*. % 299.97/300.38 30217[0:Res:543.1,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(x,cross_product(y,f6(u,v))) member(second(f23(x,cross_product(y,f6(u,v)))),first(w))*. % 299.97/300.38 30210[0:Res:539.1,5020.1] || member(u,second(v)) equal(w,v) -> subset(cross_product(x,f6(u,v)),y) member(second(f17(cross_product(x,f6(u,v)),y)),first(w))*. % 299.97/300.38 30209[0:Res:538.1,5020.1] || member(u,second(v)) equal(w,v) -> disjoint(cross_product(x,f6(u,v)),y) member(second(f23(cross_product(x,f6(u,v)),y)),first(w))*. % 299.97/300.38 30189[0:Res:94.1,5020.1] || member(u,image(f6(v,w),x)) member(v,second(w)) equal(y,w) -> member(first(f22(u,f6(v,w),x)),first(y))*. % 299.97/300.38 30365[0:Res:556.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,cross_product(f9(u,v),y)) member(first(f23(x,cross_product(f9(u,v),y))),first(w))*. % 299.97/300.38 30362[0:Res:552.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> subset(cross_product(f9(u,v),x),y) member(first(f17(cross_product(f9(u,v),x),y)),first(w))*. % 299.97/300.38 30361[0:Res:551.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(cross_product(f9(u,v),x),y) member(first(f23(cross_product(f9(u,v),x),y)),first(w))*. % 299.97/300.38 30345[0:Res:4115.1,5022.1] ordered_pair_predicate(u) || member(v,rotate_right(w)) equal(x,v)* -> member(u,converse(complement(f9(v,w))))* member(ordered_pair(second(u),first(u)),first(x))*. % 299.97/300.38 30328[0:Res:543.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,cross_product(y,f9(u,v))) member(second(f23(x,cross_product(y,f9(u,v)))),first(w))*. % 299.97/300.38 30321[0:Res:539.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> subset(cross_product(x,f9(u,v)),y) member(second(f17(cross_product(x,f9(u,v)),y)),first(w))*. % 299.97/300.38 30320[0:Res:538.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(cross_product(x,f9(u,v)),y) member(second(f23(cross_product(x,f9(u,v)),y)),first(w))*. % 299.97/300.38 30300[0:Res:94.1,5022.1] || member(u,image(f9(v,w),x)) member(v,rotate_right(w)) equal(y,v) -> member(first(f22(u,f9(v,w),x)),first(y))*. % 299.97/300.38 30508[0:Res:556.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,cross_product(f12(u,v),y)) member(first(f23(x,cross_product(f12(u,v),y))),first(w))*. % 299.97/300.38 30505[0:Res:552.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(cross_product(f12(u,v),x),y) member(first(f17(cross_product(f12(u,v),x),y)),first(w))*. % 299.97/300.38 30504[0:Res:551.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(cross_product(f12(u,v),x),y) member(first(f23(cross_product(f12(u,v),x),y)),first(w))*. % 299.97/300.38 30488[0:Res:4115.1,5024.1] ordered_pair_predicate(u) || member(v,flip_range_of(w)) equal(x,v)* -> member(u,converse(complement(f12(v,w))))* member(ordered_pair(second(u),first(u)),first(x))*. % 299.97/300.38 30471[0:Res:543.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,cross_product(y,f12(u,v))) member(second(f23(x,cross_product(y,f12(u,v)))),first(w))*. % 299.97/300.38 30464[0:Res:539.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(cross_product(x,f12(u,v)),y) member(second(f17(cross_product(x,f12(u,v)),y)),first(w))*. % 299.97/300.38 30463[0:Res:538.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(cross_product(x,f12(u,v)),y) member(second(f23(cross_product(x,f12(u,v)),y)),first(w))*. % 299.97/300.38 30443[0:Res:94.1,5024.1] || member(u,image(f12(v,w),x)) member(v,flip_range_of(w)) equal(y,v) -> member(first(f22(u,f12(v,w),x)),first(y))*. % 299.97/300.38 30661[0:Res:556.1,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(x,cross_product(f5(u,v),y)) member(first(f23(x,cross_product(f5(u,v),y))),second(w))*. % 299.97/300.38 30658[0:Res:552.1,5064.1] || member(u,first(v)) equal(w,v) -> subset(cross_product(f5(u,v),x),y) member(first(f17(cross_product(f5(u,v),x),y)),second(w))*. % 299.97/300.38 30657[0:Res:551.1,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(cross_product(f5(u,v),x),y) member(first(f23(cross_product(f5(u,v),x),y)),second(w))*. % 299.97/300.38 30641[0:Res:4115.1,5064.1] ordered_pair_predicate(u) || member(v,first(w)) equal(x,w)* -> member(u,converse(complement(f5(v,w))))* member(ordered_pair(second(u),first(u)),second(x))*. % 299.97/300.38 30624[0:Res:543.1,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(x,cross_product(y,f5(u,v))) member(second(f23(x,cross_product(y,f5(u,v)))),second(w))*. % 299.97/300.38 30617[0:Res:539.1,5064.1] || member(u,first(v)) equal(w,v) -> subset(cross_product(x,f5(u,v)),y) member(second(f17(cross_product(x,f5(u,v)),y)),second(w))*. % 299.97/300.38 30616[0:Res:538.1,5064.1] || member(u,first(v)) equal(w,v) -> disjoint(cross_product(x,f5(u,v)),y) member(second(f23(cross_product(x,f5(u,v)),y)),second(w))*. % 299.97/300.38 30596[0:Res:94.1,5064.1] || member(u,image(f5(v,w),x)) member(v,first(w)) equal(y,w) -> member(first(f22(u,f5(v,w),x)),second(y))*. % 299.97/300.38 30818[0:Res:556.1,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(x,cross_product(f7(u,v),y)) member(first(f23(x,cross_product(f7(u,v),y))),second(w))*. % 299.97/300.38 30815[0:Res:552.1,5065.1] || member(u,second(v)) equal(w,v) -> subset(cross_product(f7(u,v),x),y) member(first(f17(cross_product(f7(u,v),x),y)),second(w))*. % 299.97/300.38 30814[0:Res:551.1,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(cross_product(f7(u,v),x),y) member(first(f23(cross_product(f7(u,v),x),y)),second(w))*. % 299.97/300.38 30798[0:Res:4115.1,5065.1] ordered_pair_predicate(u) || member(v,second(w)) equal(x,w)* -> member(u,converse(complement(f7(v,w))))* member(ordered_pair(second(u),first(u)),second(x))*. % 299.97/300.38 30781[0:Res:543.1,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(x,cross_product(y,f7(u,v))) member(second(f23(x,cross_product(y,f7(u,v)))),second(w))*. % 299.97/300.38 30774[0:Res:539.1,5065.1] || member(u,second(v)) equal(w,v) -> subset(cross_product(x,f7(u,v)),y) member(second(f17(cross_product(x,f7(u,v)),y)),second(w))*. % 299.97/300.38 30773[0:Res:538.1,5065.1] || member(u,second(v)) equal(w,v) -> disjoint(cross_product(x,f7(u,v)),y) member(second(f23(cross_product(x,f7(u,v)),y)),second(w))*. % 299.97/300.38 30753[0:Res:94.1,5065.1] || member(u,image(f7(v,w),x)) member(v,second(w)) equal(y,w) -> member(first(f22(u,f7(v,w),x)),second(y))*. % 299.97/300.38 31433[0:Res:3824.2,274.0] || -> equal(u,intersection(restrict(v,w),x)) member(f1(u,intersection(restrict(v,w),x)),u)* member(f1(u,intersection(restrict(v,w),x)),cross_product(w,universal_set))*. % 299.97/300.38 31375[0:Res:3824.1,274.0] || -> equal(restrict(u,v),intersection(w,x)) member(f1(restrict(u,v),intersection(w,x)),w)* member(f1(restrict(u,v),intersection(w,x)),cross_product(v,universal_set))*. % 299.97/300.38 31643[0:Res:3825.2,274.0] || -> equal(u,intersection(v,restrict(w,x))) member(f1(u,intersection(v,restrict(w,x))),u)* member(f1(u,intersection(v,restrict(w,x))),cross_product(x,universal_set))*. % 299.97/300.38 31585[0:Res:3825.1,274.0] || -> equal(restrict(u,v),intersection(w,x)) member(f1(restrict(u,v),intersection(w,x)),x)* member(f1(restrict(u,v),intersection(w,x)),cross_product(v,universal_set))*. % 299.97/300.38 31826[0:Res:3842.2,274.0] || -> equal(intersection(restrict(u,v),w),x) member(f1(intersection(restrict(u,v),w),x),x)* member(f1(intersection(restrict(u,v),w),x),cross_product(v,universal_set))*. % 299.97/300.38 31768[0:Res:3842.1,274.0] || -> equal(intersection(u,v),restrict(w,x)) member(f1(intersection(u,v),restrict(w,x)),u)* member(f1(intersection(u,v),restrict(w,x)),cross_product(x,universal_set))*. % 299.97/300.38 32007[0:Res:3843.2,274.0] || -> equal(intersection(u,restrict(v,w)),x) member(f1(intersection(u,restrict(v,w)),x),x)* member(f1(intersection(u,restrict(v,w)),x),cross_product(w,universal_set))*. % 299.97/300.38 31949[0:Res:3843.1,274.0] || -> equal(intersection(u,v),restrict(w,x)) member(f1(intersection(u,v),restrict(w,x)),v)* member(f1(intersection(u,v),restrict(w,x)),cross_product(x,universal_set))*. % 299.97/300.38 32178[0:Res:1008.2,314.0] || member(u,range_of(v)) member(f27(u,v),converse(intersection(complement(w),complement(x)))) member(ordered_pair(u,first(f27(u,v))),union(w,x))* -> . % 299.97/300.38 32349[0:Res:1007.2,314.0] || member(u,domain_of(v)) member(f8(u,v),converse(intersection(complement(w),complement(x)))) member(ordered_pair(second(f8(u,v)),u),union(w,x))* -> . % 299.97/300.38 32797[0:Res:3836.2,43.0] || -> equal(cross_product(u,cross_product(v,w)),x) member(f1(cross_product(u,cross_product(v,w)),x),x)* member(second(second(f1(cross_product(u,cross_product(v,w)),x))),w)*. % 299.97/300.38 32796[0:Res:3836.2,42.0] || -> equal(cross_product(u,cross_product(v,w)),x) member(f1(cross_product(u,cross_product(v,w)),x),x)* member(first(second(f1(cross_product(u,cross_product(v,w)),x))),v)*. % 299.97/300.38 32740[0:Res:3836.1,43.0] || -> equal(cross_product(u,v),cross_product(w,x)) member(second(f1(cross_product(u,v),cross_product(w,x))),v)* member(second(f1(cross_product(u,v),cross_product(w,x))),x)*. % 299.97/300.38 32739[0:Res:3836.1,42.0] || -> equal(cross_product(u,v),cross_product(w,x)) member(second(f1(cross_product(u,v),cross_product(w,x))),v)* member(first(f1(cross_product(u,v),cross_product(w,x))),w)*. % 299.97/300.38 32962[0:Res:3835.2,43.0] || -> equal(cross_product(cross_product(u,v),w),x) member(f1(cross_product(cross_product(u,v),w),x),x)* member(second(first(f1(cross_product(cross_product(u,v),w),x))),v)*. % 299.97/300.38 32961[0:Res:3835.2,42.0] || -> equal(cross_product(cross_product(u,v),w),x) member(f1(cross_product(cross_product(u,v),w),x),x)* member(first(first(f1(cross_product(cross_product(u,v),w),x))),u)*. % 299.97/300.38 32905[0:Res:3835.1,43.0] || -> equal(cross_product(u,v),cross_product(w,x)) member(first(f1(cross_product(u,v),cross_product(w,x))),u)* member(second(f1(cross_product(u,v),cross_product(w,x))),x)*. % 299.97/300.38 32904[0:Res:3835.1,42.0] || -> equal(cross_product(u,v),cross_product(w,x)) member(first(f1(cross_product(u,v),cross_product(w,x))),u)* member(first(f1(cross_product(u,v),cross_product(w,x))),w)*. % 299.97/300.38 33133[0:Res:3818.2,43.0] || -> equal(u,cross_product(v,cross_product(w,x))) member(f1(u,cross_product(v,cross_product(w,x))),u)* member(second(second(f1(u,cross_product(v,cross_product(w,x))))),x)*. % 299.97/300.38 33132[0:Res:3818.2,42.0] || -> equal(u,cross_product(v,cross_product(w,x))) member(f1(u,cross_product(v,cross_product(w,x))),u)* member(first(second(f1(u,cross_product(v,cross_product(w,x))))),w)*. % 299.97/300.38 33299[0:Res:3817.2,43.0] || -> equal(u,cross_product(cross_product(v,w),x)) member(f1(u,cross_product(cross_product(v,w),x)),u)* member(second(first(f1(u,cross_product(cross_product(v,w),x)))),w)*. % 299.97/300.38 33298[0:Res:3817.2,42.0] || -> equal(u,cross_product(cross_product(v,w),x)) member(f1(u,cross_product(cross_product(v,w),x)),u)* member(first(first(f1(u,cross_product(cross_product(v,w),x)))),v)*. % 299.97/300.38 33739[3:SSi:33722.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f2(x),u),non_ordered_pair(v,w))* member(x,ordered_pair(v,w))* -> equal(u,f3(x)). % 299.97/300.38 33822[0:SSi:33791.0,371.0] || equal(ordered_pair(f31(u,v,complement(non_ordered_pair(w,x))),f30(u,v,complement(non_ordered_pair(w,x)))),x)** member(u,compose(v,complement(non_ordered_pair(w,x)))) -> . % 299.97/300.38 33823[0:SSi:33790.0,371.0] || equal(ordered_pair(f31(u,v,complement(non_ordered_pair(w,x))),f30(u,v,complement(non_ordered_pair(w,x)))),w)** member(u,compose(v,complement(non_ordered_pair(w,x)))) -> . % 299.97/300.38 33910[0:SSi:33879.0,371.0] || equal(ordered_pair(f29(u,complement(non_ordered_pair(v,w)),x),f31(u,complement(non_ordered_pair(v,w)),x)),w)** member(u,compose(complement(non_ordered_pair(v,w)),x)) -> . % 299.97/300.38 33911[0:SSi:33878.0,371.0] || equal(ordered_pair(f29(u,complement(non_ordered_pair(v,w)),x),f31(u,complement(non_ordered_pair(v,w)),x)),v)** member(u,compose(complement(non_ordered_pair(v,w)),x)) -> . % 299.97/300.38 34294[0:Res:960.2,1437.0] || member(u,infinity) subset(infinity,range_of(non_ordered_pair(v,w))) -> equal(f27(successor(u),non_ordered_pair(v,w)),w)** equal(f27(successor(u),non_ordered_pair(v,w)),v)**. % 299.97/300.38 34527[0:Res:1157.2,1438.0] || member(u,non_ordered_pair(v,w)) -> disjoint(x,u) equal(f16(f23(x,u),non_ordered_pair(v,w)),w)** equal(f16(f23(x,u),non_ordered_pair(v,w)),v)**. % 299.97/300.38 34526[0:Res:1149.2,1438.0] || member(u,non_ordered_pair(v,w)) -> disjoint(u,x) equal(f16(f23(u,x),non_ordered_pair(v,w)),w)** equal(f16(f23(u,x),non_ordered_pair(v,w)),v)**. % 299.97/300.38 34525[0:Res:1150.2,1438.0] || member(u,non_ordered_pair(v,w)) -> subset(u,x) equal(f16(f17(u,x),non_ordered_pair(v,w)),w)** equal(f16(f17(u,x),non_ordered_pair(v,w)),v)**. % 299.97/300.38 34466[0:Res:960.2,1438.0] || member(u,infinity) subset(infinity,sigma(non_ordered_pair(v,w))) -> equal(f16(successor(u),non_ordered_pair(v,w)),w)** equal(f16(successor(u),non_ordered_pair(v,w)),v)**. % 299.97/300.38 34631[0:Res:960.2,1439.0] || member(u,infinity) subset(infinity,domain_of(non_ordered_pair(v,w))) -> equal(f8(successor(u),non_ordered_pair(v,w)),w)** equal(f8(successor(u),non_ordered_pair(v,w)),v)**. % 299.97/300.38 34782[0:MRR:34745.0,213.1] || equal(f17(u,intersection(v,non_ordered_pair(w,x))),x) member(f17(u,intersection(v,non_ordered_pair(w,x))),v)* -> subset(u,intersection(v,non_ordered_pair(w,x))). % 299.97/300.38 34783[0:MRR:34744.0,213.1] || equal(f17(u,intersection(v,non_ordered_pair(w,x))),w) member(f17(u,intersection(v,non_ordered_pair(w,x))),v)* -> subset(u,intersection(v,non_ordered_pair(w,x))). % 299.97/300.38 34858[0:MRR:34829.0,5.0] || equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),v)** equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),x)** -> equal(non_ordered_pair(u,v),non_ordered_pair(w,x)). % 299.97/300.38 34859[0:MRR:34828.0,5.0] || equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),u)** equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),x)** -> equal(non_ordered_pair(u,v),non_ordered_pair(w,x)). % 299.97/300.38 34926[0:MRR:34897.0,5.0] || equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),v)** equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),w)** -> equal(non_ordered_pair(u,v),non_ordered_pair(w,x)). % 299.97/300.38 34927[0:MRR:34896.0,5.0] || equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),u)** equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),w)** -> equal(non_ordered_pair(u,v),non_ordered_pair(w,x)). % 299.97/300.38 35092[0:Res:957.2,5025.1] || subset(u,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),first(y))*. % 299.97/300.38 35091[0:Res:956.2,5025.1] || subset(u,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),first(y))*. % 299.97/300.38 35045[0:Res:107.1,5025.1] || member(u,range_of(f29(v,w,x))) member(v,compose(w,x)) equal(y,v) -> member(f27(u,f29(v,w,x)),first(y))*. % 299.97/300.38 35043[0:Res:66.1,5025.1] || member(u,sigma(f29(v,w,x))) member(v,compose(w,x)) equal(y,v) -> member(f16(u,f29(v,w,x)),first(y))*. % 299.97/300.38 35041[0:Res:38.1,5025.1] || member(u,domain_of(f29(v,w,x))) member(v,compose(w,x)) equal(y,v) -> member(f8(u,f29(v,w,x)),first(y))*. % 299.97/300.38 35038[0:Res:395.0,5025.1] || member(u,compose(v,w)) equal(x,u) -> subset(y,complement(f29(u,v,w))) member(f17(y,complement(f29(u,v,w))),first(x))*. % 299.97/300.38 35018[0:Res:4258.0,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(complement(f29(u,v,w)),universal_set) member(f1(complement(f29(u,v,w)),universal_set),first(x))*. % 299.97/300.38 35262[0:Res:957.2,5066.1] || subset(u,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),second(y))*. % 299.97/300.38 35261[0:Res:956.2,5066.1] || subset(u,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),second(y))*. % 299.97/300.38 35215[0:Res:107.1,5066.1] || member(u,range_of(f30(v,w,x))) member(v,compose(w,x)) equal(y,v) -> member(f27(u,f30(v,w,x)),second(y))*. % 299.97/300.38 35213[0:Res:66.1,5066.1] || member(u,sigma(f30(v,w,x))) member(v,compose(w,x)) equal(y,v) -> member(f16(u,f30(v,w,x)),second(y))*. % 299.97/300.38 35211[0:Res:38.1,5066.1] || member(u,domain_of(f30(v,w,x))) member(v,compose(w,x)) equal(y,v) -> member(f8(u,f30(v,w,x)),second(y))*. % 299.97/300.38 35208[0:Res:395.0,5066.1] || member(u,compose(v,w)) equal(x,u) -> subset(y,complement(f30(u,v,w))) member(f17(y,complement(f30(u,v,w))),second(x))*. % 299.97/300.38 35188[0:Res:4258.0,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(complement(f30(u,v,w)),universal_set) member(f1(complement(f30(u,v,w)),universal_set),second(x))*. % 299.97/300.38 35545[0:Res:4112.2,68.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),sigma(v)) member(converse(f16(ordered_pair(second(u),first(u)),v)),w)* -> member(u,sigma(w)). % 299.97/300.38 35615[3:SSi:35564.0,63.0,15957.0] || member(ordered_pair(second(infinity),first(infinity)),sigma(u)) disjoint(converse(f16(ordered_pair(second(infinity),first(infinity)),u)),converse(f16(ordered_pair(second(infinity),first(infinity)),u)))* -> . % 299.97/300.38 35626[0:MRR:35625.0,106.1] || member(ordered_pair(u,first(f27(u,v))),sigma(w)) member(u,range_of(v)) disjoint(converse(f16(ordered_pair(u,first(f27(u,v))),w)),v)* -> . % 299.97/300.38 35630[0:MRR:35629.0,37.1] || member(ordered_pair(second(f8(u,v)),u),sigma(w)) member(u,domain_of(v)) disjoint(converse(f16(ordered_pair(second(f8(u,v)),u),w)),v)* -> . % 299.97/300.38 35704[0:Res:4111.2,68.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),first(v)) member(converse(f4(ordered_pair(second(u),first(u)),v)),w)* -> member(u,sigma(w)). % 299.97/300.38 35774[3:SSi:35723.0,63.0,15957.0] || member(ordered_pair(second(infinity),first(infinity)),first(u)) disjoint(converse(f4(ordered_pair(second(infinity),first(infinity)),u)),converse(f4(ordered_pair(second(infinity),first(infinity)),u)))* -> . % 299.97/300.38 35785[0:MRR:35784.0,106.1] || member(ordered_pair(u,first(f27(u,v))),first(w)) member(u,range_of(v)) disjoint(converse(f4(ordered_pair(u,first(f27(u,v))),w)),v)* -> . % 299.97/300.38 35789[0:MRR:35788.0,37.1] || member(ordered_pair(second(f8(u,v)),u),first(w)) member(u,domain_of(v)) disjoint(converse(f4(ordered_pair(second(f8(u,v)),u),w)),v)* -> . % 299.97/300.38 35923[0:Res:4110.2,68.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),second(v)) member(converse(f7(ordered_pair(second(u),first(u)),v)),w)* -> member(u,sigma(w)). % 299.97/300.38 35993[3:SSi:35942.0,63.0,15957.0] || member(ordered_pair(second(infinity),first(infinity)),second(u)) disjoint(converse(f7(ordered_pair(second(infinity),first(infinity)),u)),converse(f7(ordered_pair(second(infinity),first(infinity)),u)))* -> . % 299.97/300.38 36004[0:MRR:36003.0,106.1] || member(ordered_pair(u,first(f27(u,v))),second(w)) member(u,range_of(v)) disjoint(converse(f7(ordered_pair(u,first(f27(u,v))),w)),v)* -> . % 299.97/300.38 36008[0:MRR:36007.0,37.1] || member(ordered_pair(second(f8(u,v)),u),second(w)) member(u,domain_of(v)) disjoint(converse(f7(ordered_pair(second(f8(u,v)),u),w)),v)* -> . % 299.97/300.38 36343[0:Res:67.1,4926.2] little_set(u) || member(f8(v,w),sigma(x)) member(v,domain_of(w)) equal(u,v) -> member(u,domain_of(f16(f8(v,w),x)))*. % 299.97/300.38 36342[0:Res:21.1,4926.2] little_set(u) || member(f8(v,w),first(x)) member(v,domain_of(w)) equal(u,v) -> member(u,domain_of(f4(f8(v,w),x)))*. % 299.97/300.38 36341[0:Res:26.1,4926.2] little_set(u) || member(f8(v,w),second(x)) member(v,domain_of(w)) equal(u,v) -> member(u,domain_of(f7(f8(v,w),x)))*. % 299.97/300.38 36367[0:MRR:36339.0,487.1] little_set(u) || member(v,domain_of(w)) equal(u,v)* -> member(f8(v,w),union(x,y))* member(u,domain_of(intersection(complement(x),complement(y))))*. % 299.97/300.38 36504[0:Res:67.1,4972.2] little_set(u) || member(f27(v,w),sigma(x)) member(v,range_of(w)) equal(u,v) -> member(u,range_of(f16(f27(v,w),x)))*. % 299.97/300.38 36503[0:Res:21.1,4972.2] little_set(u) || member(f27(v,w),first(x)) member(v,range_of(w)) equal(u,v) -> member(u,range_of(f4(f27(v,w),x)))*. % 299.97/300.38 36502[0:Res:26.1,4972.2] little_set(u) || member(f27(v,w),second(x)) member(v,range_of(w)) equal(u,v) -> member(u,range_of(f7(f27(v,w),x)))*. % 299.97/300.38 36528[0:MRR:36500.0,420.1] little_set(u) || member(v,range_of(w)) equal(u,v)* -> member(f27(v,w),union(x,y))* member(u,range_of(intersection(complement(x),complement(y))))*. % 299.97/300.38 36557[0:Res:4622.2,4238.0] || member(u,flip_range_of(v)) subset(v,compose(w,x))* equal(y,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))* -> ordered_pair_predicate(y)*. % 299.97/300.38 36546[0:Res:4622.2,68.0] || member(u,flip_range_of(v)) subset(v,w)* member(w,x)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),sigma(x))*. % 299.97/300.38 36545[0:Res:4622.2,98.0] || member(u,flip_range_of(v)) subset(v,w)* member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)* disjoint(x,w)* -> . % 299.97/300.38 36985[0:Res:4770.2,4238.0] || member(u,rotate_right(v)) subset(v,compose(w,x))* equal(y,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))* -> ordered_pair_predicate(y)*. % 299.97/300.38 36974[0:Res:4770.2,68.0] || member(u,rotate_right(v)) subset(v,w)* member(w,x)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),sigma(x))*. % 299.97/300.38 36973[0:Res:4770.2,98.0] || member(u,rotate_right(v)) subset(v,w)* member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)* disjoint(x,w)* -> . % 299.97/300.38 37749[0:Res:4272.2,68.0] || member(u,compose(v,w)) member(w,x)* member(sigma(x),y)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),sigma(y))*. % 299.97/300.38 37748[0:Res:4272.2,98.0] || member(u,compose(v,w)) member(w,x)* member(ordered_pair(f31(u,v,w),f30(u,v,w)),y)* disjoint(y,sigma(x))* -> . % 299.97/300.38 38170[0:SSi:38146.0,371.0] || member(u,compose(v,w)) disjoint(intersection(complement(x),complement(y)),w) -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),union(x,y))*. % 299.97/300.38 38220[0:Res:4347.2,68.0] || member(u,compose(v,w)) member(v,x)* member(sigma(x),y)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),sigma(y))*. % 299.97/300.38 38219[0:Res:4347.2,98.0] || member(u,compose(v,w)) member(v,x)* member(ordered_pair(f29(u,v,w),f31(u,v,w)),y)* disjoint(y,sigma(x))* -> . % 299.97/300.38 38289[0:SSi:38265.0,371.0] || member(u,compose(v,w)) disjoint(intersection(complement(x),complement(y)),v) -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),union(x,y))*. % 299.97/300.38 38403[0:MRR:38375.0,1275.1] || member(u,apply(v,w)) equal(w,x)* -> member(f28(u,v,w),union(y,z))* member(u,apply(intersection(complement(y),complement(z)),x))*. % 299.97/300.38 38497[0:SSi:38467.0,371.0,371.0] || equal(ordered_pair(f12(u,complement(singleton_set(v))),ordered_pair(f14(u,complement(singleton_set(v))),f13(u,complement(singleton_set(v))))),v)** member(u,flip_range_of(complement(singleton_set(v)))) -> . % 299.97/300.38 38498[0:SSi:38466.0,371.0,371.0] || subset(ordered_pair(f12(u,complement(powerset(v))),ordered_pair(f14(u,complement(powerset(v))),f13(u,complement(powerset(v))))),v)* member(u,flip_range_of(complement(powerset(v)))) -> . % 299.97/300.38 38596[0:SSi:38566.0,371.0,371.0] || equal(ordered_pair(f10(u,complement(singleton_set(v))),ordered_pair(f11(u,complement(singleton_set(v))),f9(u,complement(singleton_set(v))))),v)** member(u,rotate_right(complement(singleton_set(v)))) -> . % 299.97/300.38 38597[0:SSi:38565.0,371.0,371.0] || subset(ordered_pair(f10(u,complement(powerset(v))),ordered_pair(f11(u,complement(powerset(v))),f9(u,complement(powerset(v))))),v)* member(u,rotate_right(complement(powerset(v)))) -> . % 299.97/300.38 38671[3:Res:6210.3,70.0] || member(u,v)* equal(first(u),w)* subset(apply(v,w),x)* -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f20(second(u))),x)*. % 299.97/300.38 38741[3:Res:6211.3,70.0] || member(u,v)* equal(first(u),w)* subset(apply(v,w),x)* -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f21(second(u))),x)*. % 299.97/300.38 38914[3:Res:6207.3,70.0] || member(u,range_of(second(v))) member(v,w)* equal(first(v),x)* subset(apply(w,x),y)* -> member(f27(u,second(v)),y)*. % 299.97/300.38 39009[3:Res:6208.3,70.0] || member(u,sigma(second(v))) member(v,w)* equal(first(v),x)* subset(apply(w,x),y)* -> member(f16(u,second(v)),y)*. % 299.97/300.38 39084[3:Res:6209.3,70.0] || member(u,domain_of(second(v))) member(v,w)* equal(first(v),x)* subset(apply(w,x),y)* -> member(f8(u,second(v)),y)*. % 299.97/300.38 39164[0:Res:4621.2,70.0] || member(u,flip_range_of(v)) member(v,w)* subset(sigma(w),x)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)*. % 299.97/300.38 39239[0:SSi:39219.0,371.0,371.0] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x))* member(u,flip_range_of(v)) disjoint(ordered_pair(w,x),v)* -> . % 299.97/300.38 39628[0:Res:4769.2,70.0] || member(u,rotate_right(v)) member(v,w)* subset(sigma(w),x)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)*. % 299.97/300.38 39759[0:SSi:39739.0,371.0,371.0] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x))* member(u,rotate_right(v)) disjoint(ordered_pair(w,x),v)* -> . % 299.97/300.38 40683[2:Res:25246.0,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(complement(f30(u,v,w)),universal_set) member(f1(universal_set,complement(f30(u,v,w))),second(x))*. % 299.97/300.38 40682[2:Res:25246.0,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(complement(f29(u,v,w)),universal_set) member(f1(universal_set,complement(f29(u,v,w))),first(x))*. % 299.97/300.38 40644[2:Res:25246.0,1014.0] || -> equal(complement(converse(cross_product(u,v))),universal_set) member(first(ordered_pair(second(f1(universal_set,complement(converse(cross_product(u,v))))),first(f1(universal_set,complement(converse(cross_product(u,v))))))),u)*. % 299.97/300.38 40643[2:Res:25246.0,1015.0] || -> equal(complement(converse(cross_product(u,v))),universal_set) member(second(ordered_pair(second(f1(universal_set,complement(converse(cross_product(u,v))))),first(f1(universal_set,complement(converse(cross_product(u,v))))))),v)*. % 299.97/300.38 40619[2:Res:25246.0,3811.0] || -> equal(complement(u),universal_set) equal(v,f1(universal_set,complement(u))) member(f1(v,f1(universal_set,complement(u))),v)* member(f1(v,f1(universal_set,complement(u))),sigma(u))*. % 299.97/300.38 40618[2:Res:25246.0,3829.0] || -> equal(complement(u),universal_set) equal(f1(universal_set,complement(u)),v) member(f1(f1(universal_set,complement(u)),v),v)* member(f1(f1(universal_set,complement(u)),v),sigma(u))*. % 299.97/300.38 40758[0:Res:1468.2,1354.0] || member(u,image(v,w)) member(f22(u,v,w),converse(image(x,cross_product(y,z))))* -> member(ordered_pair(u,first(f22(u,v,w))),z)*. % 299.97/300.38 40753[0:Res:1468.2,274.0] || member(u,image(v,w)) member(f22(u,v,w),converse(restrict(x,y)))* -> member(ordered_pair(u,first(f22(u,v,w))),cross_product(y,universal_set))*. % 299.97/300.38 40721[0:Res:1468.2,4578.0] || member(u,image(v,w)) member(f22(u,v,w),converse(rotate_right(x)))* equal(y,ordered_pair(u,first(f22(u,v,w))))* -> ordered_pair_predicate(y)*. % 299.97/300.38 40718[0:Res:1468.2,4549.0] || member(u,image(v,w)) member(f22(u,v,w),converse(flip_range_of(x)))* equal(y,ordered_pair(u,first(f22(u,v,w))))* -> ordered_pair_predicate(y)*. % 299.97/300.38 40710[0:Res:1468.2,70.0] || member(u,image(v,w)) member(f22(u,v,w),converse(x))* subset(x,y)* -> member(ordered_pair(u,first(f22(u,v,w))),y)*. % 299.97/300.38 40904[0:Res:1464.2,1354.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(image(x,cross_product(y,z))))* -> member(ordered_pair(second(f28(u,v,w)),w),z)*. % 299.97/300.38 40899[0:Res:1464.2,274.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(restrict(x,y)))* -> member(ordered_pair(second(f28(u,v,w)),w),cross_product(y,universal_set))*. % 299.97/300.38 40867[0:Res:1464.2,4578.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(rotate_right(x)))* equal(y,ordered_pair(second(f28(u,v,w)),w))* -> ordered_pair_predicate(y)*. % 299.97/300.38 40864[0:Res:1464.2,4549.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(flip_range_of(x)))* equal(y,ordered_pair(second(f28(u,v,w)),w))* -> ordered_pair_predicate(y)*. % 299.97/300.38 40856[0:Res:1464.2,70.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(x))* subset(x,y)* -> member(ordered_pair(second(f28(u,v,w)),w),y)*. % 299.97/300.38 41001[0:SSi:40990.0,371.0] || equal(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y))* member(u,image(v,w)) -> member(f22(u,v,w),converse(ordered_pair(x,y)))*. % 299.97/300.38 41098[0:SSi:41087.0,371.0] || equal(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y))* member(u,apply(v,w)) -> member(f28(u,v,w),converse(ordered_pair(x,y)))*. % 299.97/300.38 41234[0:Res:4286.1,34.1] || member(u,compose(v,intersection(w,complement(x)))) member(ordered_pair(f31(u,v,intersection(w,complement(x))),f30(u,v,intersection(w,complement(x)))),x)* -> . % 299.97/300.38 41209[0:Res:4286.1,70.0] || member(u,compose(v,intersection(w,x))) subset(x,y) -> member(ordered_pair(f31(u,v,intersection(w,x)),f30(u,v,intersection(w,x))),y)*. % 299.97/300.38 41473[0:Res:4285.1,34.1] || member(u,compose(v,intersection(complement(w),x))) member(ordered_pair(f31(u,v,intersection(complement(w),x)),f30(u,v,intersection(complement(w),x))),w)* -> . % 299.97/300.38 41448[0:Res:4285.1,70.0] || member(u,compose(v,intersection(w,x))) subset(w,y) -> member(ordered_pair(f31(u,v,intersection(w,x)),f30(u,v,intersection(w,x))),y)*. % 299.97/300.38 41611[0:Res:4361.1,34.1] || member(u,compose(intersection(v,complement(w)),x)) member(ordered_pair(f29(u,intersection(v,complement(w)),x),f31(u,intersection(v,complement(w)),x)),w)* -> . % 299.97/300.38 41586[0:Res:4361.1,70.0] || member(u,compose(intersection(v,w),x)) subset(w,y) -> member(ordered_pair(f29(u,intersection(v,w),x),f31(u,intersection(v,w),x)),y)*. % 299.97/300.38 41733[0:Res:4360.1,34.1] || member(u,compose(intersection(complement(v),w),x)) member(ordered_pair(f29(u,intersection(complement(v),w),x),f31(u,intersection(complement(v),w),x)),v)* -> . % 299.97/300.38 41708[0:Res:4360.1,70.0] || member(u,compose(intersection(v,w),x)) subset(v,y) -> member(ordered_pair(f29(u,intersection(v,w),x),f31(u,intersection(v,w),x)),y)*. % 299.97/300.38 41987[7:Res:26830.1,6212.0] || disjoint(universal_set,complement(converse(second(u))))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),apply(v,w))*. % 299.97/300.38 41986[7:Res:26831.1,6212.0] || disjoint(complement(converse(second(u))),universal_set)* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),apply(v,w))*. % 299.97/300.38 41985[7:Res:33376.1,6212.0] || member(universal_set,powerset(converse(second(u))))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),apply(v,w))*. % 299.97/300.38 42213[0:MRR:42194.0,1275.1] little_set(u) || equal(f28(v,w,x),singleton_set(y))* member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(ordered_pair(y,z)))*. % 299.97/300.38 42289[0:MRR:42270.0,1340.1] little_set(u) || equal(f22(v,w,x),singleton_set(y))* member(v,image(w,x))* equal(u,v)* -> member(u,range_of(ordered_pair(y,z)))*. % 299.97/300.38 42365[0:Res:4279.1,1444.0] || member(u,compose(v,cross_product(w,singleton_set(x)))) -> equal(second(ordered_pair(f31(u,v,cross_product(w,singleton_set(x))),f30(u,v,cross_product(w,singleton_set(x))))),x)**. % 299.97/300.38 42364[0:Res:4279.1,76.0] || member(u,compose(v,cross_product(w,powerset(x)))) -> subset(second(ordered_pair(f31(u,v,cross_product(w,powerset(x))),f30(u,v,cross_product(w,powerset(x))))),x)*. % 299.97/300.38 42476[0:Res:4278.1,1444.0] || member(u,compose(v,cross_product(singleton_set(w),x))) -> equal(first(ordered_pair(f31(u,v,cross_product(singleton_set(w),x)),f30(u,v,cross_product(singleton_set(w),x)))),w)**. % 299.97/300.38 42475[0:Res:4278.1,76.0] || member(u,compose(v,cross_product(powerset(w),x))) -> subset(first(ordered_pair(f31(u,v,cross_product(powerset(w),x)),f30(u,v,cross_product(powerset(w),x)))),w)*. % 299.97/300.38 42623[0:Res:4354.1,1444.0] || member(u,compose(cross_product(v,singleton_set(w)),x)) -> equal(second(ordered_pair(f29(u,cross_product(v,singleton_set(w)),x),f31(u,cross_product(v,singleton_set(w)),x))),w)**. % 299.97/300.38 42622[0:Res:4354.1,76.0] || member(u,compose(cross_product(v,powerset(w)),x)) -> subset(second(ordered_pair(f29(u,cross_product(v,powerset(w)),x),f31(u,cross_product(v,powerset(w)),x))),w)*. % 299.97/300.38 42765[0:Res:4353.1,1444.0] || member(u,compose(cross_product(singleton_set(v),w),x)) -> equal(first(ordered_pair(f29(u,cross_product(singleton_set(v),w),x),f31(u,cross_product(singleton_set(v),w),x))),v)**. % 299.97/300.38 42764[0:Res:4353.1,76.0] || member(u,compose(cross_product(powerset(v),w),x)) -> subset(first(ordered_pair(f29(u,cross_product(powerset(v),w),x),f31(u,cross_product(powerset(v),w),x))),v)*. % 299.97/300.38 42880[7:Res:26830.1,1442.0] || disjoint(universal_set,complement(apply(non_ordered_pair(u,v),w)))* -> equal(f28(sigma(infinity),non_ordered_pair(u,v),w),v) equal(f28(sigma(infinity),non_ordered_pair(u,v),w),u). % 299.97/300.38 42879[7:Res:26831.1,1442.0] || disjoint(complement(apply(non_ordered_pair(u,v),w)),universal_set)* -> equal(f28(sigma(infinity),non_ordered_pair(u,v),w),v) equal(f28(sigma(infinity),non_ordered_pair(u,v),w),u). % 299.97/300.38 42878[7:Res:33376.1,1442.0] || member(universal_set,powerset(apply(non_ordered_pair(u,v),w)))* -> equal(f28(sigma(infinity),non_ordered_pair(u,v),w),v) equal(f28(sigma(infinity),non_ordered_pair(u,v),w),u). % 299.97/300.38 43057[7:Res:26830.1,1443.0] || disjoint(universal_set,complement(image(u,non_ordered_pair(v,w))))* -> equal(f22(sigma(infinity),u,non_ordered_pair(v,w)),w) equal(f22(sigma(infinity),u,non_ordered_pair(v,w)),v). % 299.97/300.38 43056[7:Res:26831.1,1443.0] || disjoint(complement(image(u,non_ordered_pair(v,w))),universal_set)* -> equal(f22(sigma(infinity),u,non_ordered_pair(v,w)),w) equal(f22(sigma(infinity),u,non_ordered_pair(v,w)),v). % 299.97/300.38 43055[7:Res:33376.1,1443.0] || member(universal_set,powerset(image(u,non_ordered_pair(v,w))))* -> equal(f22(sigma(infinity),u,non_ordered_pair(v,w)),w) equal(f22(sigma(infinity),u,non_ordered_pair(v,w)),v). % 299.97/300.38 43292[3:SSi:43258.0,18197.0,371.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),v)* member(ordered_pair(second(u),first(u)),w)* -> member(u,converse(intersection(w,non_ordered_pair(x,v))))*. % 299.97/300.38 43293[3:SSi:43257.0,18197.0,371.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),v)* member(ordered_pair(second(u),first(u)),w)* -> member(u,converse(intersection(w,non_ordered_pair(v,x))))*. % 299.97/300.38 43443[3:MRR:43359.0,6160.1] || member(ordered_pair(second(u),first(u)),apply(v,w)) member(u,x) disjoint(x,converse(second(f28(ordered_pair(second(u),first(u)),v,w))))* -> . % 299.97/300.38 43548[0:Res:5356.4,4578.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* equal(y,ordered_pair(w,ordered_pair(v,u)))* -> ordered_pair_predicate(y)*. % 299.97/300.38 43576[0:MRR:43550.0,43550.1,43550.2,48.1,50.1,49.1] || member(ordered_pair(f11(u,complement(rotate_right(v))),ordered_pair(f9(u,complement(rotate_right(v))),f10(u,complement(rotate_right(v))))),v)* member(u,rotate_right(complement(rotate_right(v)))) -> . % 299.97/300.38 43577[0:MRR:43549.0,43549.1,43549.2,55.1,56.1,54.1] || member(ordered_pair(f14(u,complement(rotate_right(v))),ordered_pair(f13(u,complement(rotate_right(v))),f12(u,complement(rotate_right(v))))),v)* member(u,flip_range_of(complement(rotate_right(v)))) -> . % 299.97/300.38 43713[0:Res:6051.4,4549.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x)* equal(y,ordered_pair(w,ordered_pair(v,u)))* -> ordered_pair_predicate(y)*. % 299.97/300.38 43743[0:MRR:43715.0,43715.1,43715.2,48.1,50.1,49.1] || member(ordered_pair(f10(u,complement(flip_range_of(v))),ordered_pair(f9(u,complement(flip_range_of(v))),f11(u,complement(flip_range_of(v))))),v)* member(u,rotate_right(complement(flip_range_of(v)))) -> . % 299.97/300.38 43898[3:Obv:43884.0] || member(u,v)* equal(first(u),w)* member(x,apply(second(u),y))* equal(y,z)* -> member(x,apply(apply(v,w),z))*. % 299.97/300.38 55493[16:Rew:54986.0,49334.0] || -> equal(singleton_set(u),a) equal(v,ordered_pair(singleton_set(u),u)) member(f1(v,ordered_pair(singleton_set(u),u)),v)* member(f1(v,ordered_pair(singleton_set(u),u)),sigma(f25))*. % 299.97/300.38 55495[16:Rew:54986.0,49330.0] || -> equal(singleton_set(u),a) equal(ordered_pair(singleton_set(u),u),v) member(f1(ordered_pair(singleton_set(u),u),v),v)* member(f1(ordered_pair(singleton_set(u),u),v),sigma(f25))*. % 299.97/300.38 59709[16:Rew:54986.0,55733.2] || member(u,v) equal(first(u),w) equal(f1(universal_set,a),second(u)) -> equal(second(u),a) member(f26(second(u)),apply(v,w))*. % 299.97/300.38 55907[16:Rew:54986.0,48867.2] little_set(u) || subset(f25,ordered_pair(v,w))* -> equal(u,a) equal(ordered_pair(u,f26(u)),non_ordered_pair(v,w))* equal(ordered_pair(u,f26(u)),singleton_set(v)). % 299.97/300.38 55908[16:Rew:54986.0,48866.2] little_set(u) || subset(f25,converse(cross_product(v,w)))* -> equal(u,a) member(first(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u))))),v)*. % 299.97/300.38 55909[16:Rew:54986.0,48865.2] little_set(u) || subset(f25,converse(cross_product(v,w)))* -> equal(u,a) member(second(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u))))),w)*. % 299.97/300.38 55910[16:Rew:54986.0,48801.2] little_set(u) || subset(u,v) -> equal(u,a) equal(w,f26(u)) member(f1(w,f26(u)),w)* member(f1(w,f26(u)),sigma(v))*. % 299.97/300.38 55911[16:Rew:54986.0,48786.2] little_set(u) || subset(u,v) -> equal(u,a) equal(f26(u),w) member(f1(f26(u),w),w)* member(f1(f26(u),w),sigma(v))*. % 299.97/300.38 55912[16:Rew:54986.0,48763.3] || member(u,range_of(v)) member(f27(u,v),w)* equal(first(f27(u,v)),x)* -> equal(u,a) member(f24(u),apply(w,x))*. % 299.97/300.38 55913[16:Rew:54986.0,48739.2] || member(ordered_pair(second(f24(u)),first(f24(u))),sigma(v)) disjoint(converse(f16(ordered_pair(second(f24(u)),first(f24(u))),v)),u)* -> equal(u,a). % 299.97/300.38 55914[16:Rew:54986.0,48736.2] || member(ordered_pair(second(f24(u)),first(f24(u))),first(v)) disjoint(converse(f4(ordered_pair(second(f24(u)),first(f24(u))),v)),u)* -> equal(u,a). % 299.97/300.38 55915[16:Rew:54986.0,48733.2] || member(ordered_pair(second(f24(u)),first(f24(u))),second(v)) disjoint(converse(f7(ordered_pair(second(f24(u)),first(f24(u))),v)),u)* -> equal(u,a). % 299.97/300.38 55916[16:Rew:54986.0,48730.3] || subset(u,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> equal(u,a) member(f24(u),second(x))*. % 299.97/300.38 55917[16:Rew:54986.0,48727.3] || subset(u,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> equal(u,a) member(f24(u),second(x))*. % 299.97/300.38 56506[16:Rew:54986.0,49502.3] || disjoint(universal_set,complement(converse(second(u))))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),apply(v,w))*. % 299.97/300.38 56507[16:Rew:54986.0,49501.3] || disjoint(complement(converse(second(u))),universal_set)* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),apply(v,w))*. % 299.97/300.38 56508[16:Rew:54986.0,49500.3] || member(universal_set,powerset(converse(second(u))))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),apply(v,w))*. % 299.97/300.38 59711[16:Rew:54986.0,56510.1] || member(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),apply(u,v)) -> member(a,sigma(converse(second(f28(ordered_pair(second(singleton_set(a)),first(singleton_set(a))),u,v)))))*. % 299.97/300.38 59712[16:Rew:54986.0,56644.2] || disjoint(universal_set,complement(apply(non_ordered_pair(u,v),w)))* -> equal(f28(singleton_set(a),non_ordered_pair(u,v),w),v) equal(f28(singleton_set(a),non_ordered_pair(u,v),w),u). % 299.97/300.38 59713[16:Rew:54986.0,56645.2] || disjoint(complement(apply(non_ordered_pair(u,v),w)),universal_set)* -> equal(f28(singleton_set(a),non_ordered_pair(u,v),w),v) equal(f28(singleton_set(a),non_ordered_pair(u,v),w),u). % 299.97/300.38 59714[16:Rew:54986.0,56646.2] || member(universal_set,powerset(apply(non_ordered_pair(u,v),w)))* -> equal(f28(singleton_set(a),non_ordered_pair(u,v),w),v) equal(f28(singleton_set(a),non_ordered_pair(u,v),w),u). % 299.97/300.38 59715[16:Rew:54986.0,56648.2] || disjoint(universal_set,complement(image(u,non_ordered_pair(v,w))))* -> equal(f22(singleton_set(a),u,non_ordered_pair(v,w)),w) equal(f22(singleton_set(a),u,non_ordered_pair(v,w)),v). % 299.97/300.38 59716[16:Rew:54986.0,56649.2] || disjoint(complement(image(u,non_ordered_pair(v,w))),universal_set)* -> equal(f22(singleton_set(a),u,non_ordered_pair(v,w)),w) equal(f22(singleton_set(a),u,non_ordered_pair(v,w)),v). % 299.97/300.38 59717[16:Rew:54986.0,56650.2] || member(universal_set,powerset(image(u,non_ordered_pair(v,w))))* -> equal(f22(singleton_set(a),u,non_ordered_pair(v,w)),w) equal(f22(singleton_set(a),u,non_ordered_pair(v,w)),v). % 299.97/300.38 56827[16:Rew:54986.0,50415.3] || disjoint(universal_set,complement(converse(second(u))))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),apply(v,w))*. % 299.97/300.38 56828[16:Rew:54986.0,50414.3] || disjoint(complement(converse(second(u))),universal_set)* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),apply(v,w))*. % 299.97/300.38 56829[16:Rew:54986.0,50413.3] || member(universal_set,powerset(converse(second(u))))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(powerset(a)),first(powerset(a))),apply(v,w))*. % 299.97/300.38 59718[16:Rew:54986.0,56990.2] || disjoint(universal_set,complement(apply(non_ordered_pair(u,v),w)))* -> equal(f28(powerset(a),non_ordered_pair(u,v),w),v) equal(f28(powerset(a),non_ordered_pair(u,v),w),u). % 299.97/300.38 59719[16:Rew:54986.0,56991.2] || disjoint(complement(apply(non_ordered_pair(u,v),w)),universal_set)* -> equal(f28(powerset(a),non_ordered_pair(u,v),w),v) equal(f28(powerset(a),non_ordered_pair(u,v),w),u). % 299.97/300.38 59720[16:Rew:54986.0,56992.2] || member(universal_set,powerset(apply(non_ordered_pair(u,v),w)))* -> equal(f28(powerset(a),non_ordered_pair(u,v),w),v) equal(f28(powerset(a),non_ordered_pair(u,v),w),u). % 299.97/300.38 59721[16:Rew:54986.0,56994.2] || disjoint(universal_set,complement(image(u,non_ordered_pair(v,w))))* -> equal(f22(powerset(a),u,non_ordered_pair(v,w)),w) equal(f22(powerset(a),u,non_ordered_pair(v,w)),v). % 299.97/300.38 59722[16:Rew:54986.0,56995.2] || disjoint(complement(image(u,non_ordered_pair(v,w))),universal_set)* -> equal(f22(powerset(a),u,non_ordered_pair(v,w)),w) equal(f22(powerset(a),u,non_ordered_pair(v,w)),v). % 299.97/300.38 59723[16:Rew:54986.0,56996.2] || member(universal_set,powerset(image(u,non_ordered_pair(v,w))))* -> equal(f22(powerset(a),u,non_ordered_pair(v,w)),w) equal(f22(powerset(a),u,non_ordered_pair(v,w)),v). % 299.97/300.38 59724[16:Rew:54986.0,57229.3,54986.0,57229.2] || subset(f25,u) -> equal(v,ordered_pair(powerset(a),a)) member(f1(v,ordered_pair(powerset(a),a)),v)* member(f1(v,ordered_pair(powerset(a),a)),sigma(u))*. % 299.97/300.38 59725[16:Rew:54986.0,57230.3,54986.0,57230.2] || subset(universal_set,u) -> equal(v,ordered_pair(powerset(a),a)) member(f1(v,ordered_pair(powerset(a),a)),v)* member(f1(v,ordered_pair(powerset(a),a)),sigma(u))*. % 299.97/300.38 59726[16:Rew:54986.0,57245.3,54986.0,57245.2] || subset(f25,u) -> equal(ordered_pair(powerset(a),a),v) member(f1(ordered_pair(powerset(a),a),v),v)* member(f1(ordered_pair(powerset(a),a),v),sigma(u))*. % 299.97/300.38 59727[16:Rew:54986.0,57246.3,54986.0,57246.2] || subset(universal_set,u) -> equal(ordered_pair(powerset(a),a),v) member(f1(ordered_pair(powerset(a),a),v),v)* member(f1(ordered_pair(powerset(a),a),v),sigma(u))*. % 299.97/300.38 59728[16:Rew:54986.0,57281.2] || subset(f25,range_of(non_ordered_pair(u,v))) -> equal(f27(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),v)** equal(f27(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),u)**. % 299.97/300.38 59729[16:Rew:54986.0,57282.2] || subset(universal_set,range_of(non_ordered_pair(u,v))) -> equal(f27(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),v)** equal(f27(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),u)**. % 299.97/300.38 59730[16:Rew:54986.0,57283.2] || subset(f25,sigma(non_ordered_pair(u,v))) -> equal(f16(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),v)** equal(f16(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),u)**. % 299.97/300.38 59731[16:Rew:54986.0,57284.2] || subset(universal_set,sigma(non_ordered_pair(u,v))) -> equal(f16(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),v)** equal(f16(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),u)**. % 299.97/300.38 59732[16:Rew:54986.0,57285.2] || subset(f25,domain_of(non_ordered_pair(u,v))) -> equal(f8(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),v)** equal(f8(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),u)**. % 299.97/300.38 59733[16:Rew:54986.0,57286.2] || subset(universal_set,domain_of(non_ordered_pair(u,v))) -> equal(f8(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),v)** equal(f8(ordered_pair(powerset(a),a),non_ordered_pair(u,v)),u)**. % 299.97/300.38 59734[16:Rew:54986.0,57766.1] || member(u,compose(union(v,a),w)) member(ordered_pair(f29(u,union(v,a),w),f31(u,union(v,a),w)),intersection(complement(v),universal_set))* -> . % 299.97/300.38 59735[16:Rew:54986.0,57794.1] || member(u,compose(union(a,v),w)) member(ordered_pair(f29(u,union(a,v),w),f31(u,union(a,v),w)),intersection(universal_set,complement(v)))* -> . % 299.97/300.38 58167[16:Rew:54986.0,51128.4] little_set(f2(u)) single_valued_set(sigma(v)) || member(f25,v) member(u,sigma(v))* -> equal(f2(u),a) equal(f26(f2(u)),f3(u)). % 299.97/300.38 59736[16:Rew:54986.0,58284.1] || member(u,compose(v,union(w,a))) member(ordered_pair(f31(u,v,union(w,a)),f30(u,v,union(w,a))),intersection(complement(w),universal_set))* -> . % 299.97/300.38 59737[16:Rew:54986.0,58290.1] || member(u,compose(v,union(a,w))) member(ordered_pair(f31(u,v,union(a,w)),f30(u,v,union(a,w))),intersection(universal_set,complement(w)))* -> . % 299.97/300.38 58440[16:Rew:54986.0,50922.1] little_set(converse(intersection(u,v))) || -> equal(converse(intersection(u,v)),a) member(ordered_pair(second(f26(converse(intersection(u,v)))),first(f26(converse(intersection(u,v))))),u)*. % 299.97/300.38 58441[16:Rew:54986.0,50918.1] little_set(converse(intersection(u,v))) || -> equal(converse(intersection(u,v)),a) member(ordered_pair(second(f26(converse(intersection(u,v)))),first(f26(converse(intersection(u,v))))),v)*. % 299.97/300.38 58636[16:Rew:54986.0,50927.0] || -> equal(intersection(u,converse(intersection(v,w))),a) member(ordered_pair(second(f24(intersection(u,converse(intersection(v,w))))),first(f24(intersection(u,converse(intersection(v,w)))))),v)*. % 299.97/300.38 58637[16:Rew:54986.0,50926.0] || -> equal(intersection(u,converse(intersection(v,w))),a) member(ordered_pair(second(f24(intersection(u,converse(intersection(v,w))))),first(f24(intersection(u,converse(intersection(v,w)))))),w)*. % 299.97/300.38 58638[16:Rew:54986.0,50929.0] || -> equal(intersection(converse(intersection(u,v)),w),a) member(ordered_pair(second(f24(intersection(converse(intersection(u,v)),w))),first(f24(intersection(converse(intersection(u,v)),w)))),u)*. % 299.97/300.38 58639[16:Rew:54986.0,50928.0] || -> equal(intersection(converse(intersection(u,v)),w),a) member(ordered_pair(second(f24(intersection(converse(intersection(u,v)),w))),first(f24(intersection(converse(intersection(u,v)),w)))),v)*. % 299.97/300.38 58641[16:Rew:54986.0,51114.1] || subset(u,v) -> equal(cross_product(converse(u),w),a) member(ordered_pair(second(first(f24(cross_product(converse(u),w)))),first(first(f24(cross_product(converse(u),w))))),v)*. % 299.97/300.38 58643[16:Rew:54986.0,51116.1] || subset(u,v) -> equal(cross_product(w,converse(u)),a) member(ordered_pair(second(second(f24(cross_product(w,converse(u))))),first(second(f24(cross_product(w,converse(u)))))),v)*. % 299.97/300.38 58644[16:Rew:54986.0,51320.0] || equal(ordered_pair(f31(u,v,complement(ordered_pair(universal_set,w))),f30(u,v,complement(ordered_pair(universal_set,w)))),a)** member(u,compose(v,complement(ordered_pair(universal_set,w)))) -> . % 299.97/300.38 58645[16:Rew:54986.0,51321.0] || equal(ordered_pair(f29(u,complement(ordered_pair(universal_set,v)),w),f31(u,complement(ordered_pair(universal_set,v)),w)),a)** member(u,compose(complement(ordered_pair(universal_set,v)),w)) -> . % 299.97/300.38 58649[16:Rew:54986.0,51610.1] || member(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),apply(u,v)) -> member(a,sigma(converse(second(f28(ordered_pair(second(sigma(infinity)),first(sigma(infinity))),u,v)))))*. % 299.97/300.38 64058[16:Res:55532.1,18198.1] ordered_pair_predicate(u) || member(first(ordered_pair(second(u),first(u))),v)* -> equal(singleton_set(second(ordered_pair(second(u),first(u)))),a) member(u,converse(cross_product(v,universal_set))). % 299.97/300.38 64057[16:Res:56204.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),a) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,universal_set))). % 299.97/300.38 64246[2:Res:4628.1,10966.0] || member(u,flip_range_of(cross_product(v,w))) -> member(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),universal_set)*. % 299.97/300.38 64353[2:Res:4627.1,10966.0] || member(u,flip_range_of(cross_product(v,w))) -> member(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),universal_set)*. % 299.97/300.38 64502[2:Res:4776.1,10966.0] || member(u,rotate_right(cross_product(v,w))) -> member(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),universal_set)*. % 299.97/300.38 64612[2:Res:4775.1,10966.0] || member(u,rotate_right(cross_product(v,w))) -> member(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),universal_set)*. % 299.97/300.38 65363[0:MRR:65333.0,133.1] single_valued_set(u) || member(v,compose(w,u)) member(singleton_set(singleton_set(f31(v,w,u))),u)* -> equal(f31(v,w,u),f30(v,w,u)). % 299.97/300.38 65578[0:MRR:65547.0,131.1] single_valued_set(u) || member(v,compose(u,w)) member(singleton_set(singleton_set(f29(v,u,w))),u)* -> equal(f31(v,u,w),f29(v,u,w)). % 299.97/300.38 65877[0:MRR:65841.0,18.1] single_valued_set(u) || member(v,first(w)) member(w,u) member(singleton_set(singleton_set(f4(v,w))),u)* -> equal(f5(v,w),f4(v,w)). % 299.97/300.38 65998[0:MRR:65962.0,23.1] single_valued_set(u) || member(v,second(w)) member(w,u) member(singleton_set(singleton_set(f6(v,w))),u)* -> equal(f7(v,w),f6(v,w)). % 299.97/300.38 66097[0:MRR:66067.0,49.1] single_valued_set(u) || member(v,rotate_right(u)) member(singleton_set(singleton_set(f10(v,u))),u) -> equal(ordered_pair(f11(v,u),f9(v,u)),f10(v,u))**. % 299.97/300.38 66193[0:MRR:66162.0,54.1] single_valued_set(u) || member(v,flip_range_of(u)) member(singleton_set(singleton_set(f12(v,u))),u) -> equal(ordered_pair(f14(v,u),f13(v,u)),f12(v,u))**. % 299.97/300.38 66199[0:SSi:66198.0,371.0] single_valued_set(u) || member(v,flip_range_of(u)) member(v,u) -> equal(ordered_pair(f14(v,u),f13(v,u)),ordered_pair(f13(v,u),f14(v,u)))**. % 299.97/300.38 66367[16:MRR:66366.1,55067.2] little_set(u) little_set(v) || subset(f25,w) member(ordered_pair(v,u),x) -> equal(u,a) member(ordered_pair(v,f26(u)),compose(x,w))*. % 299.97/300.38 66637[0:SSi:66606.1,15.1] ordered_pair_predicate(u) little_set(v) || equal(v,ordered_pair(f3(u),u))* member(ordered_pair(f2(u),singleton_set(singleton_set(f3(u)))),w)* -> member(v,rotate_right(w))*. % 299.97/300.38 67133[0:Obv:67129.1] little_set(u) || member(v,range_of(cross_product(w,x))) member(f27(v,cross_product(w,x)),y)* equal(v,u)* -> member(u,image(w,y))*. % 299.97/300.38 68093[0:Res:5257.5,1238.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z)* disjoint(z,universal_set) -> homomorphism(y,w,x,u,v)*. % 299.97/300.38 69184[0:Obv:69173.8] || subset(u,v)* closed(w,x) closed(u,y) maps(z,u,w) disjoint(v,u) -> homomorphism(z,u,y,w,x)*. % 299.97/300.38 82802[16:Res:82637.1,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(set_b) || equal(ordered_pair(w,u),a)** member(ordered_pair(w,v),set_b)* -> equal(v,u)*. % 299.97/300.38 82788[16:Res:82637.1,5228.3] little_set(u) single_valued_set(set_b) || equal(ordered_pair(f29(v,set_b,w),u),a)** member(v,compose(set_b,w)) -> equal(u,f31(v,set_b,w)). % 299.97/300.38 82787[16:Res:82637.1,5227.3] little_set(u) single_valued_set(set_b) || equal(ordered_pair(f31(v,w,set_b),u),a)** member(v,compose(w,set_b)) -> equal(u,f30(v,w,set_b)). % 299.97/300.38 82753[16:Res:82637.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),a) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,set_b))). % 299.97/300.38 82955[3:Res:82638.1,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(set_a) || equal(ordered_pair(w,u),a)** member(ordered_pair(w,v),set_a)* -> equal(v,u)*. % 299.97/300.38 82941[3:Res:82638.1,5228.3] little_set(u) single_valued_set(set_a) || equal(ordered_pair(f29(v,set_a,w),u),a)** member(v,compose(set_a,w)) -> equal(u,f31(v,set_a,w)). % 299.97/300.38 82940[3:Res:82638.1,5227.3] little_set(u) single_valued_set(set_a) || equal(ordered_pair(f31(v,w,set_a),u),a)** member(v,compose(w,set_a)) -> equal(u,f30(v,w,set_a)). % 299.97/300.38 82906[3:Res:82638.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),a) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,set_a))). % 299.97/300.38 83109[16:Res:82641.1,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(infinity) || equal(ordered_pair(w,u),a)** member(ordered_pair(w,v),infinity)* -> equal(v,u)*. % 299.97/300.38 83095[16:Res:82641.1,5228.3] little_set(u) single_valued_set(infinity) || equal(ordered_pair(f29(v,infinity,w),u),a)** member(v,compose(infinity,w)) -> equal(u,f31(v,infinity,w)). % 299.97/300.38 83094[16:Res:82641.1,5227.3] little_set(u) single_valued_set(infinity) || equal(ordered_pair(f31(v,w,infinity),u),a)** member(v,compose(w,infinity)) -> equal(u,f30(v,w,infinity)). % 299.97/300.38 83060[16:Res:82641.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),a) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,infinity))). % 299.97/300.38 83348[3:Res:83265.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),infinity) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,universal_set))). % 299.97/300.38 84015[16:Res:3817.2,83606.1] || subset(first(f1(u,cross_product(f24(powerset(v)),w))),v)* -> equal(u,cross_product(f24(powerset(v)),w)) member(f1(u,cross_product(f24(powerset(v)),w)),u)*. % 299.97/300.38 84005[16:Res:3835.2,83606.1] || subset(first(f1(cross_product(f24(powerset(u)),v),w)),u)* -> equal(cross_product(f24(powerset(u)),v),w) member(f1(cross_product(f24(powerset(u)),v),w),w)*. % 299.97/300.38 83980[16:Res:52.1,83606.1] || member(u,rotate_right(f24(powerset(v)))) subset(ordered_pair(f10(u,f24(powerset(v))),ordered_pair(f11(u,f24(powerset(v))),f9(u,f24(powerset(v))))),v)* -> . % 299.97/300.38 83978[16:Res:58.1,83606.1] || member(u,flip_range_of(f24(powerset(v)))) subset(ordered_pair(f12(u,f24(powerset(v))),ordered_pair(f14(u,f24(powerset(v))),f13(u,f24(powerset(v))))),v)* -> . % 299.97/300.38 83972[16:Res:3836.1,83606.1] || subset(f1(cross_product(u,v),f24(powerset(w))),w)* -> equal(cross_product(u,v),f24(powerset(w))) member(second(f1(cross_product(u,v),f24(powerset(w)))),v)*. % 299.97/300.38 83971[16:Res:3835.1,83606.1] || subset(f1(cross_product(u,v),f24(powerset(w))),w)* -> equal(cross_product(u,v),f24(powerset(w))) member(first(f1(cross_product(u,v),f24(powerset(w)))),u)*. % 299.97/300.38 83953[16:Res:3818.2,83606.1] || subset(second(f1(u,cross_product(v,f24(powerset(w))))),w)* -> equal(u,cross_product(v,f24(powerset(w)))) member(f1(u,cross_product(v,f24(powerset(w)))),u)*. % 299.97/300.38 83939[16:Res:3836.2,83606.1] || subset(second(f1(cross_product(u,f24(powerset(v))),w)),v)* -> equal(cross_product(u,f24(powerset(v))),w) member(f1(cross_product(u,f24(powerset(v))),w),w)*. % 299.97/300.38 83892[16:Res:3818.1,83606.1] || subset(f1(f24(powerset(u)),cross_product(v,w)),u)* -> equal(f24(powerset(u)),cross_product(v,w)) member(second(f1(f24(powerset(u)),cross_product(v,w))),w)*. % 299.97/300.38 83891[16:Res:3817.1,83606.1] || subset(f1(f24(powerset(u)),cross_product(v,w)),u)* -> equal(f24(powerset(u)),cross_product(v,w)) member(first(f1(f24(powerset(u)),cross_product(v,w))),v)*. % 299.97/300.38 84205[2:Res:3817.2,25433.0] || subset(u,first(f1(v,cross_product(image(u,w),x))))* -> equal(v,cross_product(image(u,w),x)) member(f1(v,cross_product(image(u,w),x)),v)*. % 299.97/300.38 84195[2:Res:3835.2,25433.0] || subset(u,first(f1(cross_product(image(u,v),w),x)))* -> equal(cross_product(image(u,v),w),x) member(f1(cross_product(image(u,v),w),x),x)*. % 299.97/300.38 84170[2:Res:52.1,25433.0] || member(u,rotate_right(image(v,w))) subset(v,ordered_pair(f10(u,image(v,w)),ordered_pair(f11(u,image(v,w)),f9(u,image(v,w)))))* -> . % 299.97/300.38 84168[2:Res:58.1,25433.0] || member(u,flip_range_of(image(v,w))) subset(v,ordered_pair(f12(u,image(v,w)),ordered_pair(f14(u,image(v,w)),f13(u,image(v,w)))))* -> . % 299.97/300.38 84162[2:Res:3836.1,25433.0] || subset(u,f1(cross_product(v,w),image(u,x)))* -> equal(cross_product(v,w),image(u,x)) member(second(f1(cross_product(v,w),image(u,x))),w)*. % 299.97/300.38 84161[2:Res:3835.1,25433.0] || subset(u,f1(cross_product(v,w),image(u,x)))* -> equal(cross_product(v,w),image(u,x)) member(first(f1(cross_product(v,w),image(u,x))),v)*. % 299.97/300.38 84143[2:Res:3818.2,25433.0] || subset(u,second(f1(v,cross_product(w,image(u,x)))))* -> equal(v,cross_product(w,image(u,x))) member(f1(v,cross_product(w,image(u,x))),v)*. % 299.97/300.38 84129[2:Res:3836.2,25433.0] || subset(u,second(f1(cross_product(v,image(u,w)),x)))* -> equal(cross_product(v,image(u,w)),x) member(f1(cross_product(v,image(u,w)),x),x)*. % 299.97/300.38 84082[2:Res:3818.1,25433.0] || subset(u,f1(image(u,v),cross_product(w,x)))* -> equal(image(u,v),cross_product(w,x)) member(second(f1(image(u,v),cross_product(w,x))),x)*. % 299.97/300.38 84081[2:Res:3817.1,25433.0] || subset(u,f1(image(u,v),cross_product(w,x)))* -> equal(image(u,v),cross_product(w,x)) member(first(f1(image(u,v),cross_product(w,x))),w)*. % 299.97/300.38 87659[16:Res:82665.1,4781.1] || equal(ordered_pair(f10(u,complement(sigma(infinity))),ordered_pair(f11(u,complement(sigma(infinity))),f9(u,complement(sigma(infinity))))),a)** member(u,rotate_right(complement(sigma(infinity)))) -> . % 299.97/300.38 87658[16:Res:82665.1,4633.1] || equal(ordered_pair(f12(u,complement(sigma(infinity))),ordered_pair(f14(u,complement(sigma(infinity))),f13(u,complement(sigma(infinity))))),a)** member(u,flip_range_of(complement(sigma(infinity)))) -> . % 299.97/300.38 87813[16:Res:82681.1,4781.1] || equal(ordered_pair(f10(u,complement(successor(a))),ordered_pair(f11(u,complement(successor(a))),f9(u,complement(successor(a))))),a)** member(u,rotate_right(complement(successor(a)))) -> . % 299.97/300.38 87812[16:Res:82681.1,4633.1] || equal(ordered_pair(f12(u,complement(successor(a))),ordered_pair(f14(u,complement(successor(a))),f13(u,complement(successor(a))))),a)** member(u,flip_range_of(complement(successor(a)))) -> . % 299.97/300.38 88407[16:Res:57853.0,1020.0] || -> equal(complement(complement(converse(intersection(u,v)))),a) member(ordered_pair(second(f24(complement(complement(converse(intersection(u,v)))))),first(f24(complement(complement(converse(intersection(u,v))))))),u)*. % 299.97/300.38 88406[16:Res:57853.0,1021.0] || -> equal(complement(complement(converse(intersection(u,v)))),a) member(ordered_pair(second(f24(complement(complement(converse(intersection(u,v)))))),first(f24(complement(complement(converse(intersection(u,v))))))),v)*. % 299.97/300.38 89304[0:Res:1464.2,14370.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(converse(complement(x)))) member(ordered_pair(second(f28(u,v,w)),w),converse(x))* -> . % 299.97/300.38 89303[0:Res:1468.2,14370.1] || member(u,image(v,w)) member(f22(u,v,w),converse(converse(complement(x)))) member(ordered_pair(u,first(f22(u,v,w))),converse(x))* -> . % 299.97/300.38 89242[0:Res:3842.1,14370.1] || member(f1(intersection(u,v),converse(complement(w))),converse(w))* -> equal(intersection(u,v),converse(complement(w))) member(f1(intersection(u,v),converse(complement(w))),u)*. % 299.97/300.38 89241[0:Res:3843.1,14370.1] || member(f1(intersection(u,v),converse(complement(w))),converse(w))* -> equal(intersection(u,v),converse(complement(w))) member(f1(intersection(u,v),converse(complement(w))),v)*. % 299.97/300.38 89240[0:Res:3825.2,14370.1] || member(f1(u,intersection(v,converse(complement(w)))),converse(w))* -> equal(u,intersection(v,converse(complement(w)))) member(f1(u,intersection(v,converse(complement(w)))),u)*. % 299.97/300.38 89206[0:Res:3843.2,14370.1] || member(f1(intersection(u,converse(complement(v))),w),converse(v))* -> equal(intersection(u,converse(complement(v))),w) member(f1(intersection(u,converse(complement(v))),w),w)*. % 299.97/300.38 89205[0:Res:3824.2,14370.1] || member(f1(u,intersection(converse(complement(v)),w)),converse(v))* -> equal(u,intersection(converse(complement(v)),w)) member(f1(u,intersection(converse(complement(v)),w)),u)*. % 299.97/300.38 89167[0:Res:3842.2,14370.1] || member(f1(intersection(converse(complement(u)),v),w),converse(u))* -> equal(intersection(converse(complement(u)),v),w) member(f1(intersection(converse(complement(u)),v),w),w)*. % 299.97/300.38 89161[0:Res:3824.1,14370.1] || member(f1(converse(complement(u)),intersection(v,w)),converse(u))* -> equal(converse(complement(u)),intersection(v,w)) member(f1(converse(complement(u)),intersection(v,w)),v)*. % 299.97/300.38 89160[0:Res:3825.1,14370.1] || member(f1(converse(complement(u)),intersection(v,w)),converse(u))* -> equal(converse(complement(u)),intersection(v,w)) member(f1(converse(complement(u)),intersection(v,w)),w)*. % 299.97/300.38 89539[0:Res:1464.2,43745.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(flip_range_of(complement(flip_range_of(x)))))* member(ordered_pair(second(f28(u,v,w)),w),x)* -> . % 299.97/300.38 89538[0:Res:1468.2,43745.1] || member(u,image(v,w)) member(f22(u,v,w),converse(flip_range_of(complement(flip_range_of(x)))))* member(ordered_pair(u,first(f22(u,v,w))),x)* -> . % 299.97/300.38 89501[0:Res:6051.4,43745.1] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),complement(flip_range_of(x)))* member(ordered_pair(w,ordered_pair(v,u)),x) -> . % 299.97/300.38 89492[0:Res:136.1,43745.1] || member(u,compose(v,flip_range_of(complement(flip_range_of(w))))) member(ordered_pair(f31(u,v,flip_range_of(complement(flip_range_of(w)))),f30(u,v,flip_range_of(complement(flip_range_of(w))))),w)* -> . % 299.97/300.38 89482[0:Res:135.1,43745.1] || member(u,compose(flip_range_of(complement(flip_range_of(v))),w)) member(ordered_pair(f29(u,flip_range_of(complement(flip_range_of(v))),w),f31(u,flip_range_of(complement(flip_range_of(v))),w)),v)* -> . % 299.97/300.38 92735[0:Res:1464.2,19261.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(sigma(intersection(x,y))))* -> member(ordered_pair(second(f28(u,v,w)),w),sigma(x))*. % 299.97/300.38 92734[0:Res:1468.2,19261.0] || member(u,image(v,w)) member(f22(u,v,w),converse(sigma(intersection(x,y))))* -> member(ordered_pair(u,first(f22(u,v,w))),sigma(x))*. % 299.97/300.38 92668[0:Res:136.1,19261.0] || member(u,compose(v,sigma(intersection(w,x)))) -> member(ordered_pair(f31(u,v,sigma(intersection(w,x))),f30(u,v,sigma(intersection(w,x)))),sigma(w))*. % 299.97/300.38 92658[0:Res:135.1,19261.0] || member(u,compose(sigma(intersection(v,w)),x)) -> member(ordered_pair(f29(u,sigma(intersection(v,w)),x),f31(u,sigma(intersection(v,w)),x)),sigma(v))*. % 299.97/300.38 92937[0:Res:1464.2,19263.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(sigma(intersection(x,y))))* -> member(ordered_pair(second(f28(u,v,w)),w),sigma(y))*. % 299.97/300.38 92936[0:Res:1468.2,19263.0] || member(u,image(v,w)) member(f22(u,v,w),converse(sigma(intersection(x,y))))* -> member(ordered_pair(u,first(f22(u,v,w))),sigma(y))*. % 299.97/300.38 92870[0:Res:136.1,19263.0] || member(u,compose(v,sigma(intersection(w,x)))) -> member(ordered_pair(f31(u,v,sigma(intersection(w,x))),f30(u,v,sigma(intersection(w,x)))),sigma(x))*. % 299.97/300.38 92860[0:Res:135.1,19263.0] || member(u,compose(sigma(intersection(v,w)),x)) -> member(ordered_pair(f29(u,sigma(intersection(v,w)),x),f31(u,sigma(intersection(v,w)),x)),sigma(w))*. % 299.97/300.38 94204[16:Res:57719.1,1020.0] || -> equal(restrict(converse(intersection(u,v)),w),a) member(ordered_pair(second(f24(restrict(converse(intersection(u,v)),w))),first(f24(restrict(converse(intersection(u,v)),w)))),u)*. % 299.97/300.38 94203[16:Res:57719.1,1021.0] || -> equal(restrict(converse(intersection(u,v)),w),a) member(ordered_pair(second(f24(restrict(converse(intersection(u,v)),w))),first(f24(restrict(converse(intersection(u,v)),w)))),v)*. % 299.97/300.38 94883[16:Res:91681.1,1558.0] || equal(complement(image(non_ordered_pair(u,v),w)),a) -> equal(first(f22(infinity,non_ordered_pair(u,v),w)),v)** equal(first(f22(infinity,non_ordered_pair(u,v),w)),u)**. % 299.97/300.38 95411[16:Res:92031.1,1558.0] || equal(complement(image(non_ordered_pair(u,v),w)),a) -> equal(first(f22(a,non_ordered_pair(u,v),w)),v)** equal(first(f22(a,non_ordered_pair(u,v),w)),u)**. % 299.97/300.38 96191[0:MRR:96148.0,96148.1,83.1,85.1] little_set(u) || member(v,w) member(ordered_pair(u,f19(singleton_set(v))),x) -> single_valued_set(singleton_set(v)) member(ordered_pair(u,f21(singleton_set(v))),compose(x,w))*. % 299.97/300.38 96575[16:Res:5302.5,92502.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z)* equal(a,z) -> homomorphism(y,w,x,u,v)*. % 299.97/300.38 96834[0:MRR:96794.0,96794.1,83.1,84.1] little_set(u) || member(v,w) member(ordered_pair(u,f19(singleton_set(v))),x) -> single_valued_set(singleton_set(v)) member(ordered_pair(u,f20(singleton_set(v))),compose(x,w))*. % 299.97/300.38 97024[0:Res:21407.1,3653.2] ordered_pair_predicate(intersection(u,v)) || member(w,v) member(w,u) -> member(w,sigma(converse(powerset(ordered_pair(second(intersection(u,v)),first(intersection(u,v)))))))*. % 299.97/300.38 97112[3:SSi:97010.0,5742.0,371.1] || member(u,domain_of(v)) -> member(f8(u,v),converse(converse(powerset(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u)))))))*. % 299.97/300.38 97113[3:SSi:97009.0,5742.0,371.1] || member(u,range_of(v)) -> member(f27(u,v),converse(converse(powerset(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v)))))))))*. % 299.97/300.38 97726[0:Res:4770.2,2899.0] || member(u,rotate_right(v)) subset(v,domain_of(singleton_set(w))) -> equal(f8(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),singleton_set(w)),w)**. % 299.97/300.38 97724[0:Res:4622.2,2899.0] || member(u,flip_range_of(v)) subset(v,domain_of(singleton_set(w))) -> equal(f8(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),singleton_set(w)),w)**. % 299.97/300.38 97939[0:Res:4770.2,2938.0] || member(u,rotate_right(v)) subset(v,sigma(singleton_set(w))) -> equal(f16(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),singleton_set(w)),w)**. % 299.97/300.38 97937[0:Res:4622.2,2938.0] || member(u,flip_range_of(v)) subset(v,sigma(singleton_set(w))) -> equal(f16(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),singleton_set(w)),w)**. % 299.97/300.38 98182[0:Res:4770.2,2959.0] || member(u,rotate_right(v)) subset(v,range_of(singleton_set(w))) -> equal(f27(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),singleton_set(w)),w)**. % 299.97/300.38 98180[0:Res:4622.2,2959.0] || member(u,flip_range_of(v)) subset(v,range_of(singleton_set(w))) -> equal(f27(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),singleton_set(w)),w)**. % 299.97/300.38 98392[0:Res:8090.0,1009.0] || subset(u,v) -> subset(complement(complement(converse(u))),w) member(ordered_pair(second(f17(complement(complement(converse(u))),w)),first(f17(complement(complement(converse(u))),w))),v)*. % 299.97/300.38 98508[0:Res:9082.0,1009.0] || subset(u,v) -> disjoint(w,complement(complement(converse(u)))) member(ordered_pair(second(f23(w,complement(complement(converse(u))))),first(f23(w,complement(complement(converse(u)))))),v)*. % 299.97/300.38 98698[0:Res:9151.0,1009.0] || subset(u,v) -> disjoint(complement(complement(converse(u))),w) member(ordered_pair(second(f23(complement(complement(converse(u))),w)),first(f23(complement(complement(converse(u))),w))),v)*. % 299.97/300.38 99388[0:Res:18201.1,1562.1] ordered_pair_predicate(second(f28(u,v,w))) || member(u,apply(v,w)) -> member(second(f28(u,v,w)),converse(x))* member(u,sigma(converse(complement(x)))). % 299.97/300.38 99495[3:SSi:99349.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(ordered_pair(second(u),first(u)),converse(w))* member(u,converse(intersection(v,converse(complement(w)))))*. % 299.97/300.38 99500[3:MRR:99337.0,6168.1] || member(f17(u,intersection(v,converse(complement(w)))),v)* -> member(f17(u,intersection(v,converse(complement(w)))),converse(w))* subset(u,intersection(v,converse(complement(w)))). % 299.97/300.38 99501[3:MRR:99306.0,6237.1] || equal(f1(converse(complement(u)),non_ordered_pair(v,w)),w) -> member(f1(converse(complement(u)),non_ordered_pair(v,w)),converse(u))* equal(converse(complement(u)),non_ordered_pair(v,w)). % 299.97/300.38 99502[3:MRR:99305.0,6237.1] || equal(f1(converse(complement(u)),non_ordered_pair(v,w)),v) -> member(f1(converse(complement(u)),non_ordered_pair(v,w)),converse(u))* equal(converse(complement(u)),non_ordered_pair(v,w)). % 299.97/300.38 99516[3:SSi:99367.0,5742.0,371.1] || member(u,compose(v,complement(converse(complement(w))))) -> member(ordered_pair(f31(u,v,complement(converse(complement(w)))),f30(u,v,complement(converse(complement(w))))),converse(w))*. % 299.97/300.38 99517[3:SSi:99352.0,5742.0,371.1] || member(u,compose(complement(converse(complement(v))),w)) -> member(ordered_pair(f29(u,complement(converse(complement(v))),w),f31(u,complement(converse(complement(v))),w)),converse(v))*. % 299.97/300.38 99715[0:Res:22366.2,4972.2] ordered_pair_predicate(u) little_set(v) || member(f27(w,x),f2(u))* member(w,range_of(x)) equal(v,w)* -> member(v,range_of(first(u)))*. % 299.97/300.38 99714[0:Res:22366.2,4926.2] ordered_pair_predicate(u) little_set(v) || member(f8(w,x),f2(u))* member(w,domain_of(x)) equal(v,w)* -> member(v,domain_of(first(u)))*. % 299.97/300.38 99703[0:Res:22366.2,4346.1] ordered_pair_predicate(u) || member(ordered_pair(f29(v,w,x),f31(v,w,x)),f2(u))* member(v,compose(w,x)) disjoint(first(u),w) -> . % 299.97/300.38 99702[0:Res:22366.2,4271.1] ordered_pair_predicate(u) || member(ordered_pair(f31(v,w,x),f30(v,w,x)),f2(u))* member(v,compose(w,x)) disjoint(first(u),x) -> . % 299.97/300.38 99695[0:Res:22366.2,5125.1] ordered_pair_predicate(u) || member(f28(v,w,x),f2(u))* member(v,apply(w,x)) equal(x,y)* -> member(v,apply(first(u),y))*. % 299.97/300.38 99669[3:Res:22366.2,6224.3] ordered_pair_predicate(u) little_set(v) single_valued_set(first(u)) || member(ordered_pair(f2(w),v),f2(u))* member(w,first(u)) -> equal(v,f3(w)). % 299.97/300.38 99912[0:Res:22612.2,4972.2] ordered_pair_predicate(u) little_set(v) || member(f27(w,x),f3(u))* member(w,range_of(x)) equal(v,w)* -> member(v,range_of(second(u)))*. % 299.97/300.38 99911[0:Res:22612.2,4926.2] ordered_pair_predicate(u) little_set(v) || member(f8(w,x),f3(u))* member(w,domain_of(x)) equal(v,w)* -> member(v,domain_of(second(u)))*. % 299.97/300.38 99900[0:Res:22612.2,4346.1] ordered_pair_predicate(u) || member(ordered_pair(f29(v,w,x),f31(v,w,x)),f3(u))* member(v,compose(w,x)) disjoint(second(u),w) -> . % 299.97/300.38 99899[0:Res:22612.2,4271.1] ordered_pair_predicate(u) || member(ordered_pair(f31(v,w,x),f30(v,w,x)),f3(u))* member(v,compose(w,x)) disjoint(second(u),x) -> . % 299.97/300.38 99892[0:Res:22612.2,5125.1] ordered_pair_predicate(u) || member(f28(v,w,x),f3(u))* member(v,apply(w,x)) equal(x,y)* -> member(v,apply(second(u),y))*. % 299.97/300.38 99863[3:Res:22612.2,6224.3] ordered_pair_predicate(u) little_set(v) single_valued_set(second(u)) || member(ordered_pair(f2(w),v),f3(u))* member(w,second(u)) -> equal(v,f3(w)). % 299.97/300.38 99976[16:Res:59019.2,3811.0] || subset(u,v) -> equal(u,a) equal(w,f1(u,a)) member(f1(w,f1(u,a)),w)* member(f1(w,f1(u,a)),sigma(v))*. % 299.97/300.38 99975[16:Res:59019.2,3829.0] || subset(u,v) -> equal(u,a) equal(f1(u,a),w) member(f1(f1(u,a),w),w)* member(f1(f1(u,a),w),sigma(v))*. % 299.97/300.38 100437[16:Res:3821.2,56166.0] || -> equal(u,powerset(singleton_set(v))) member(f1(u,powerset(singleton_set(v))),u)* equal(f1(u,powerset(singleton_set(v))),a) equal(f24(f1(u,powerset(singleton_set(v)))),v). % 299.97/300.39 100436[16:Res:1548.1,56166.0] || member(u,image(powerset(singleton_set(v)),w)) -> equal(first(f22(u,powerset(singleton_set(v)),w)),a) equal(f24(first(f22(u,powerset(singleton_set(v)),w))),v)**. % 299.97/300.39 100410[16:Res:234.1,56166.0] || -> single_valued_set(powerset(singleton_set(u))) equal(ordered_pair(f19(powerset(singleton_set(u))),f20(powerset(singleton_set(u)))),a) equal(f24(ordered_pair(f19(powerset(singleton_set(u))),f20(powerset(singleton_set(u))))),u)**. % 299.97/300.39 100409[16:Res:225.1,56166.0] || -> single_valued_set(powerset(singleton_set(u))) equal(ordered_pair(f19(powerset(singleton_set(u))),f21(powerset(singleton_set(u)))),a) equal(f24(ordered_pair(f19(powerset(singleton_set(u))),f21(powerset(singleton_set(u))))),u)**. % 299.97/300.39 100404[16:Res:3839.2,56166.0] || -> equal(powerset(singleton_set(u)),v) member(f1(powerset(singleton_set(u)),v),v)* equal(f1(powerset(singleton_set(u)),v),a) equal(f24(f1(powerset(singleton_set(u)),v)),u). % 299.97/300.39 100589[16:Res:59021.2,3811.0] || subset(u,v) -> equal(a,u) equal(w,f1(a,u)) member(f1(w,f1(a,u)),w)* member(f1(w,f1(a,u)),sigma(v))*. % 299.97/300.39 100588[16:Res:59021.2,3829.0] || subset(u,v) -> equal(a,u) equal(f1(a,u),w) member(f1(f1(a,u),w),w)* member(f1(f1(a,u),w),sigma(v))*. % 299.97/300.39 100771[16:Res:59048.1,1009.0] || subset(u,v) -> equal(intersection(converse(u),w),a) member(ordered_pair(second(f1(intersection(converse(u),w),a)),first(f1(intersection(converse(u),w),a))),v)*. % 299.97/300.39 100888[16:Res:59049.1,1009.0] || subset(u,v) -> equal(intersection(w,converse(u)),a) member(ordered_pair(second(f1(intersection(w,converse(u)),a)),first(f1(intersection(w,converse(u)),a))),v)*. % 299.97/300.39 100989[16:Res:59050.1,1009.0] || subset(u,v) -> equal(intersection(converse(u),w),a) member(ordered_pair(second(f1(a,intersection(converse(u),w))),first(f1(a,intersection(converse(u),w)))),v)*. % 299.97/300.39 101128[16:Res:59051.1,1009.0] || subset(u,v) -> equal(intersection(w,converse(u)),a) member(ordered_pair(second(f1(a,intersection(w,converse(u)))),first(f1(a,intersection(w,converse(u))))),v)*. % 299.97/300.39 101322[16:Res:59052.1,1009.0] || subset(u,v) -> equal(restrict(converse(u),w),a) member(ordered_pair(second(f1(restrict(converse(u),w),a)),first(f1(restrict(converse(u),w),a))),v)*. % 299.97/300.39 101582[16:Res:59053.1,1009.0] || subset(u,v) -> equal(restrict(converse(u),w),a) member(ordered_pair(second(f1(a,restrict(converse(u),w))),first(f1(a,restrict(converse(u),w)))),v)*. % 299.97/300.39 101767[16:Res:57867.1,1438.0] || disjoint(complement(sigma(non_ordered_pair(u,v))),w)* -> equal(w,a) equal(f16(f24(w),non_ordered_pair(u,v)),v) equal(f16(f24(w),non_ordered_pair(u,v)),u). % 299.97/300.39 101729[16:Res:57867.1,1437.0] || disjoint(complement(range_of(non_ordered_pair(u,v))),w)* -> equal(w,a) equal(f27(f24(w),non_ordered_pair(u,v)),v) equal(f27(f24(w),non_ordered_pair(u,v)),u). % 299.97/300.39 101725[16:Res:57867.1,1439.0] || disjoint(complement(domain_of(non_ordered_pair(u,v))),w)* -> equal(w,a) equal(f8(f24(w),non_ordered_pair(u,v)),v) equal(f8(f24(w),non_ordered_pair(u,v)),u). % 299.97/300.39 101856[0:Res:3813.2,1020.0] || disjoint(u,universal_set) -> equal(converse(intersection(v,w)),u) member(ordered_pair(second(f1(converse(intersection(v,w)),u)),first(f1(converse(intersection(v,w)),u))),v)*. % 299.97/300.39 101855[0:Res:3813.2,1021.0] || disjoint(u,universal_set) -> equal(converse(intersection(v,w)),u) member(ordered_pair(second(f1(converse(intersection(v,w)),u)),first(f1(converse(intersection(v,w)),u))),w)*. % 299.97/300.39 101830[0:Res:3813.2,3811.0] || disjoint(u,universal_set) -> equal(v,u) equal(w,f1(v,u)) member(f1(w,f1(v,u)),w)* member(f1(w,f1(v,u)),sigma(v))*. % 299.97/300.39 101829[0:Res:3813.2,3829.0] || disjoint(u,universal_set) -> equal(v,u) equal(f1(v,u),w) member(f1(f1(v,u),w),w)* member(f1(f1(v,u),w),sigma(v))*. % 299.97/300.39 101990[0:Res:3831.2,1020.0] || disjoint(u,universal_set) -> equal(u,converse(intersection(v,w))) member(ordered_pair(second(f1(u,converse(intersection(v,w)))),first(f1(u,converse(intersection(v,w))))),v)*. % 299.97/300.39 101989[0:Res:3831.2,1021.0] || disjoint(u,universal_set) -> equal(u,converse(intersection(v,w))) member(ordered_pair(second(f1(u,converse(intersection(v,w)))),first(f1(u,converse(intersection(v,w))))),w)*. % 299.97/300.39 101964[0:Res:3831.2,3811.0] || disjoint(u,universal_set) -> equal(u,v) equal(w,f1(u,v)) member(f1(w,f1(u,v)),w)* member(f1(w,f1(u,v)),sigma(v))*. % 299.97/300.39 101963[0:Res:3831.2,3829.0] || disjoint(u,universal_set) -> equal(u,v) equal(f1(u,v),w) member(f1(f1(u,v),w),w)* member(f1(f1(u,v),w),sigma(v))*. % 299.97/300.39 103250[3:SSi:103227.0,5742.0,150.0,63.0,15957.1] || member(ordered_pair(second(singleton_set(infinity)),first(singleton_set(infinity))),apply(u,v)) -> member(infinity,sigma(converse(second(f28(ordered_pair(second(singleton_set(infinity)),first(singleton_set(infinity))),u,v)))))*. % 299.97/300.39 103676[0:Res:1556.1,16184.0] || member(u,image(intersection(v,domain_of(intersection(cross_product(w,x),y))),z)) -> member(first(f22(u,intersection(v,domain_of(intersection(cross_product(w,x),y))),z)),w)*. % 299.97/300.39 103675[0:Res:1344.1,16184.0] || member(u,image(v,cross_product(domain_of(intersection(cross_product(w,x),y)),z))) -> member(first(f22(u,v,cross_product(domain_of(intersection(cross_product(w,x),y)),z))),w)*. % 299.97/300.39 103672[0:Res:1555.1,16184.0] || member(u,image(intersection(domain_of(intersection(cross_product(v,w),x)),y),z)) -> member(first(f22(u,intersection(domain_of(intersection(cross_product(v,w),x)),y),z)),v)*. % 299.97/300.39 103651[0:Res:4770.2,16184.0] || member(u,rotate_right(v)) subset(v,domain_of(intersection(cross_product(w,x),y)))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.39 103649[0:Res:4622.2,16184.0] || member(u,flip_range_of(v)) subset(v,domain_of(intersection(cross_product(w,x),y)))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.39 103610[0:Res:1280.1,16184.0] || member(u,apply(cross_product(v,domain_of(intersection(cross_product(w,x),y))),z)) -> member(second(f28(u,cross_product(v,domain_of(intersection(cross_product(w,x),y))),z)),w)*. % 299.97/300.39 103918[0:Res:1556.1,16416.0] || member(u,image(intersection(v,domain_of(intersection(w,cross_product(x,y)))),z)) -> member(first(f22(u,intersection(v,domain_of(intersection(w,cross_product(x,y)))),z)),x)*. % 299.97/300.39 103917[0:Res:1344.1,16416.0] || member(u,image(v,cross_product(domain_of(intersection(w,cross_product(x,y))),z))) -> member(first(f22(u,v,cross_product(domain_of(intersection(w,cross_product(x,y))),z))),x)*. % 299.97/300.39 103914[0:Res:1555.1,16416.0] || member(u,image(intersection(domain_of(intersection(v,cross_product(w,x))),y),z)) -> member(first(f22(u,intersection(domain_of(intersection(v,cross_product(w,x))),y),z)),w)*. % 299.97/300.39 103893[0:Res:4770.2,16416.0] || member(u,rotate_right(v)) subset(v,domain_of(intersection(w,cross_product(x,y))))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)*. % 299.97/300.39 103891[0:Res:4622.2,16416.0] || member(u,flip_range_of(v)) subset(v,domain_of(intersection(w,cross_product(x,y))))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)*. % 299.97/300.39 103852[0:Res:1280.1,16416.0] || member(u,apply(cross_product(v,domain_of(intersection(w,cross_product(x,y)))),z)) -> member(second(f28(u,cross_product(v,domain_of(intersection(w,cross_product(x,y)))),z)),x)*. % 299.97/300.39 104163[0:Res:1556.1,17439.0] || member(u,image(intersection(v,range_of(intersection(cross_product(w,x),y))),z)) -> member(first(f22(u,intersection(v,range_of(intersection(cross_product(w,x),y))),z)),x)*. % 299.97/300.39 104162[0:Res:1344.1,17439.0] || member(u,image(v,cross_product(range_of(intersection(cross_product(w,x),y)),z))) -> member(first(f22(u,v,cross_product(range_of(intersection(cross_product(w,x),y)),z))),x)*. % 299.97/300.39 104159[0:Res:1555.1,17439.0] || member(u,image(intersection(range_of(intersection(cross_product(v,w),x)),y),z)) -> member(first(f22(u,intersection(range_of(intersection(cross_product(v,w),x)),y),z)),w)*. % 299.97/300.39 104138[0:Res:4770.2,17439.0] || member(u,rotate_right(v)) subset(v,range_of(intersection(cross_product(w,x),y)))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)*. % 299.97/300.39 104136[0:Res:4622.2,17439.0] || member(u,flip_range_of(v)) subset(v,range_of(intersection(cross_product(w,x),y)))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)*. % 299.97/300.39 104097[0:Res:1280.1,17439.0] || member(u,apply(cross_product(v,range_of(intersection(cross_product(w,x),y))),z)) -> member(second(f28(u,cross_product(v,range_of(intersection(cross_product(w,x),y))),z)),x)*. % 299.97/300.39 104440[0:Res:1556.1,17546.0] || member(u,image(intersection(v,range_of(intersection(w,cross_product(x,y)))),z)) -> member(first(f22(u,intersection(v,range_of(intersection(w,cross_product(x,y)))),z)),y)*. % 299.97/300.39 104439[0:Res:1344.1,17546.0] || member(u,image(v,cross_product(range_of(intersection(w,cross_product(x,y))),z))) -> member(first(f22(u,v,cross_product(range_of(intersection(w,cross_product(x,y))),z))),y)*. % 299.97/300.39 104436[0:Res:1555.1,17546.0] || member(u,image(intersection(range_of(intersection(v,cross_product(w,x))),y),z)) -> member(first(f22(u,intersection(range_of(intersection(v,cross_product(w,x))),y),z)),x)*. % 299.97/300.39 104415[0:Res:4770.2,17546.0] || member(u,rotate_right(v)) subset(v,range_of(intersection(w,cross_product(x,y))))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),y)*. % 299.97/300.39 104413[0:Res:4622.2,17546.0] || member(u,flip_range_of(v)) subset(v,range_of(intersection(w,cross_product(x,y))))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),y)*. % 299.97/300.39 104374[0:Res:1280.1,17546.0] || member(u,apply(cross_product(v,range_of(intersection(w,cross_product(x,y)))),z)) -> member(second(f28(u,cross_product(v,range_of(intersection(w,cross_product(x,y)))),z)),y)*. % 299.97/300.39 104661[0:Res:18826.1,1562.1] little_set(second(f28(u,v,w))) || member(u,apply(v,w)) -> member(second(f28(u,v,w)),complement(x))* member(u,sigma(union(x,y)))*. % 299.97/300.39 104763[3:SSi:104622.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(ordered_pair(second(u),first(u)),complement(w))* member(u,converse(intersection(v,union(w,x))))*. % 299.97/300.39 104768[0:MRR:104610.0,213.1] || member(f17(u,intersection(v,union(w,x))),v)* -> member(f17(u,intersection(v,union(w,x))),complement(w))* subset(u,intersection(v,union(w,x))). % 299.97/300.39 104769[0:MRR:104578.0,5.0] || equal(f1(union(u,v),non_ordered_pair(w,x)),x) -> member(f1(union(u,v),non_ordered_pair(w,x)),complement(u))* equal(union(u,v),non_ordered_pair(w,x)). % 299.97/300.39 104770[0:MRR:104577.0,5.0] || equal(f1(union(u,v),non_ordered_pair(w,x)),w) -> member(f1(union(u,v),non_ordered_pair(w,x)),complement(u))* equal(union(u,v),non_ordered_pair(w,x)). % 299.97/300.39 104784[0:SSi:104640.0,371.0] || member(u,compose(v,complement(union(w,x)))) -> member(ordered_pair(f31(u,v,complement(union(w,x))),f30(u,v,complement(union(w,x)))),complement(w))*. % 299.97/300.39 104785[0:SSi:104625.0,371.0] || member(u,compose(complement(union(v,w)),x)) -> member(ordered_pair(f29(u,complement(union(v,w)),x),f31(u,complement(union(v,w)),x)),complement(v))*. % 299.97/300.39 105005[0:Res:18827.1,1562.1] little_set(second(f28(u,v,w))) || member(u,apply(v,w)) -> member(second(f28(u,v,w)),complement(x))* member(u,sigma(union(y,x)))*. % 299.97/300.39 105109[3:SSi:104966.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(ordered_pair(second(u),first(u)),complement(w))* member(u,converse(intersection(v,union(x,w))))*. % 299.97/300.39 105114[0:MRR:104954.0,213.1] || member(f17(u,intersection(v,union(w,x))),v)* -> member(f17(u,intersection(v,union(w,x))),complement(x))* subset(u,intersection(v,union(w,x))). % 299.97/300.39 105115[0:MRR:104922.0,5.0] || equal(f1(union(u,v),non_ordered_pair(w,x)),x) -> member(f1(union(u,v),non_ordered_pair(w,x)),complement(v))* equal(union(u,v),non_ordered_pair(w,x)). % 299.97/300.39 105116[0:MRR:104921.0,5.0] || equal(f1(union(u,v),non_ordered_pair(w,x)),w) -> member(f1(union(u,v),non_ordered_pair(w,x)),complement(v))* equal(union(u,v),non_ordered_pair(w,x)). % 299.97/300.39 105130[0:SSi:104984.0,371.0] || member(u,compose(v,complement(union(w,x)))) -> member(ordered_pair(f31(u,v,complement(union(w,x))),f30(u,v,complement(union(w,x)))),complement(x))*. % 299.97/300.39 105131[0:SSi:104969.0,371.0] || member(u,compose(complement(union(v,w)),x)) -> member(ordered_pair(f29(u,complement(union(v,w)),x),f31(u,complement(union(v,w)),x)),complement(w))*. % 299.97/300.39 105390[0:Res:1549.1,26698.0] || member(u,image(cross_product(apply(cross_product(v,w),x),y),z)) -> member(first(first(f22(u,cross_product(apply(cross_product(v,w),x),y),z))),sigma(w))*. % 299.97/300.39 105368[0:Res:4770.2,26698.0] || member(u,rotate_right(v)) subset(v,apply(cross_product(w,x),y))* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),sigma(x))*. % 299.97/300.39 105366[0:Res:4622.2,26698.0] || member(u,flip_range_of(v)) subset(v,apply(cross_product(w,x),y))* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),sigma(x))*. % 299.97/300.39 105328[0:Res:1550.1,26698.0] || member(u,image(cross_product(v,apply(cross_product(w,x),y)),z)) -> member(second(first(f22(u,cross_product(v,apply(cross_product(w,x),y)),z))),sigma(x))*. % 299.97/300.39 105448[3:AED:105426.2] || member(u,compose(second(v),w)) member(v,cross_product(x,y))* -> member(ordered_pair(f29(u,second(v),w),f31(u,second(v),w)),sigma(y))*. % 299.97/300.39 105449[3:AED:105425.2] || member(u,compose(v,second(w))) member(w,cross_product(x,y))* -> member(ordered_pair(f31(u,v,second(w)),f30(u,v,second(w))),sigma(y))*. % 299.97/300.39 7963[0:Res:52.1,274.0] || member(u,rotate_right(restrict(v,w))) -> member(ordered_pair(f10(u,restrict(v,w)),ordered_pair(f11(u,restrict(v,w)),f9(u,restrict(v,w)))),cross_product(w,universal_set))*. % 299.97/300.39 7962[0:Res:58.1,274.0] || member(u,flip_range_of(restrict(v,w))) -> member(ordered_pair(f12(u,restrict(v,w)),ordered_pair(f14(u,restrict(v,w)),f13(u,restrict(v,w)))),cross_product(w,universal_set))*. % 299.97/300.39 12425[3:MRR:12402.0,6173.1] || member(second(f16(u,complement(cross_product(v,w)))),w)* member(first(f16(u,complement(cross_product(v,w)))),v)* member(u,sigma(complement(cross_product(v,w)))) -> . % 299.97/300.39 14789[0:Res:6.1,314.0] || member(f1(u,intersection(complement(v),complement(w))),union(v,w))* -> equal(u,intersection(complement(v),complement(w))) member(f1(u,intersection(complement(v),complement(w))),u)*. % 299.97/300.39 14771[0:Res:6.2,314.0] || member(f1(intersection(complement(u),complement(v)),w),union(u,v))* -> equal(intersection(complement(u),complement(v)),w) member(f1(intersection(complement(u),complement(v)),w),w)*. % 299.97/300.39 17592[2:Res:33.2,1472.1] || member(first(f22(intersection(u,v),w,x)),v)* member(first(f22(intersection(u,v),w,x)),u)* member(intersection(u,v),image(w,x)) -> . % 299.97/300.39 18893[0:MRR:18846.0,5.0] || member(f1(u,intersection(complement(v),complement(w))),u)* -> member(f1(u,intersection(complement(v),complement(w))),union(v,w))* equal(u,intersection(complement(v),complement(w))). % 299.97/300.39 18918[0:Res:378.3,1137.1] ordered_pair_predicate(complement(u)) little_set(v) || member(second(complement(u)),w)* member(first(complement(u)),x)* -> member(v,u)* member(v,sigma(cross_product(x,w)))*. % 299.97/300.39 19597[3:Res:546.1,6192.1] || member(u,domain_of(cross_product(v,second(w)))) member(w,x) equal(first(w),y) -> member(second(f8(u,cross_product(v,second(w)))),apply(x,y))*. % 299.97/300.39 20682[3:Res:545.1,6192.1] || member(u,sigma(cross_product(v,second(w)))) member(w,x) equal(first(w),y) -> member(second(f16(u,cross_product(v,second(w)))),apply(x,y))*. % 299.97/300.39 20790[3:Res:558.1,6192.1] || member(u,sigma(cross_product(second(v),w))) member(v,x) equal(first(v),y) -> member(first(f16(u,cross_product(second(v),w))),apply(x,y))*. % 299.97/300.39 20926[3:Res:557.1,6192.1] || member(u,range_of(cross_product(second(v),w))) member(v,x) equal(first(v),y) -> member(first(f27(u,cross_product(second(v),w))),apply(x,y))*. % 299.97/300.39 21120[0:Res:3651.2,425.1] || member(f27(u,complement(restrict(v,w))),cross_product(w,universal_set))* member(f27(u,complement(restrict(v,w))),v)* member(u,range_of(complement(restrict(v,w)))) -> . % 299.97/300.39 21119[0:Res:3651.2,454.1] || member(f16(u,complement(restrict(v,w))),cross_product(w,universal_set))* member(f16(u,complement(restrict(v,w))),v)* member(u,sigma(complement(restrict(v,w)))) -> . % 299.97/300.39 21118[0:Res:3651.2,492.1] || member(f8(u,complement(restrict(v,w))),cross_product(w,universal_set))* member(f8(u,complement(restrict(v,w))),v)* member(u,domain_of(complement(restrict(v,w)))) -> . % 299.97/300.39 21235[0:Res:281.1,1421.0] || -> disjoint(u,intersection(v,ordered_pair(w,x))) equal(f23(u,intersection(v,ordered_pair(w,x))),non_ordered_pair(w,x))** equal(f23(u,intersection(v,ordered_pair(w,x))),singleton_set(w)). % 299.97/300.39 21213[0:Res:278.1,1421.0] || -> subset(intersection(u,ordered_pair(v,w)),x) equal(f17(intersection(u,ordered_pair(v,w)),x),non_ordered_pair(v,w))** equal(f17(intersection(u,ordered_pair(v,w)),x),singleton_set(v)). % 299.97/300.39 21210[0:Res:277.1,1421.0] || -> disjoint(intersection(u,ordered_pair(v,w)),x) equal(f23(intersection(u,ordered_pair(v,w)),x),non_ordered_pair(v,w))** equal(f23(intersection(u,ordered_pair(v,w)),x),singleton_set(v)). % 299.97/300.39 21208[0:Res:289.1,1421.0] || -> disjoint(u,intersection(ordered_pair(v,w),x)) equal(f23(u,intersection(ordered_pair(v,w),x)),non_ordered_pair(v,w))** equal(f23(u,intersection(ordered_pair(v,w),x)),singleton_set(v)). % 299.97/300.39 21194[0:Res:285.1,1421.0] || -> disjoint(intersection(ordered_pair(u,v),w),x) equal(f23(intersection(ordered_pair(u,v),w),x),non_ordered_pair(u,v))** equal(f23(intersection(ordered_pair(u,v),w),x),singleton_set(u)). % 299.97/300.39 21192[0:Res:286.1,1421.0] || -> subset(intersection(ordered_pair(u,v),w),x) equal(f17(intersection(ordered_pair(u,v),w),x),non_ordered_pair(u,v))** equal(f17(intersection(ordered_pair(u,v),w),x),singleton_set(u)). % 299.97/300.39 21185[0:SpL:51.1,1421.0] || member(u,rotate_right(v)) member(w,u)* -> equal(w,non_ordered_pair(f9(u,v),ordered_pair(f10(u,v),f11(u,v))))* equal(w,singleton_set(f9(u,v))). % 299.97/300.39 21184[0:SpL:57.1,1421.0] || member(u,flip_range_of(v)) member(w,u)* -> equal(w,non_ordered_pair(f12(u,v),ordered_pair(f13(u,v),f14(u,v))))* equal(w,singleton_set(f12(u,v))). % 299.97/300.39 21183[0:SpL:134.1,1421.0] || member(u,compose(v,w)) member(x,u)* -> equal(x,non_ordered_pair(f29(u,v,w),f30(u,v,w)))* equal(x,singleton_set(f29(u,v,w))). % 299.97/300.39 21478[0:Res:540.1,1354.0] || -> single_valued_set(cross_product(u,image(v,cross_product(w,x)))) member(second(ordered_pair(f19(cross_product(u,image(v,cross_product(w,x)))),f21(cross_product(u,image(v,cross_product(w,x)))))),x)*. % 299.97/300.39 21638[0:Res:541.1,1354.0] || -> single_valued_set(cross_product(u,image(v,cross_product(w,x)))) member(second(ordered_pair(f19(cross_product(u,image(v,cross_product(w,x)))),f20(cross_product(u,image(v,cross_product(w,x)))))),x)*. % 299.97/300.39 21717[0:Res:553.1,1354.0] || -> single_valued_set(cross_product(image(u,cross_product(v,w)),x)) member(first(ordered_pair(f19(cross_product(image(u,cross_product(v,w)),x)),f21(cross_product(image(u,cross_product(v,w)),x)))),w)*. % 299.97/300.39 21806[0:Res:554.1,1354.0] || -> single_valued_set(cross_product(image(u,cross_product(v,w)),x)) member(first(ordered_pair(f19(cross_product(image(u,cross_product(v,w)),x)),f20(cross_product(image(u,cross_product(v,w)),x)))),w)*. % 299.97/300.39 21905[0:Res:4115.1,1009.0] ordered_pair_predicate(u) || subset(v,w)* -> member(u,converse(complement(converse(v))))* member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),w)*. % 299.97/300.39 21866[0:Res:94.1,1009.0] || member(u,image(converse(v),w)) subset(v,x) -> member(ordered_pair(second(first(f22(u,converse(v),w))),first(first(f22(u,converse(v),w)))),x)*. % 299.97/300.39 22359[0:Res:5009.3,1554.1] little_set(u) little_set(v) || member(first(f22(w,complement(first(ordered_pair(v,u))),x)),v)* member(w,image(complement(first(ordered_pair(v,u))),x)) -> . % 299.97/300.39 22356[0:Res:5009.3,259.0] little_set(u) little_set(v) || member(ordered_pair(f19(complement(first(ordered_pair(v,u)))),f20(complement(first(ordered_pair(v,u))))),v)* -> single_valued_set(complement(first(ordered_pair(v,u)))). % 299.97/300.39 22355[0:Res:5009.3,258.0] little_set(u) little_set(v) || member(ordered_pair(f19(complement(first(ordered_pair(v,u)))),f21(complement(first(ordered_pair(v,u))))),v)* -> single_valued_set(complement(first(ordered_pair(v,u)))). % 299.97/300.39 22495[0:Res:136.1,5018.1] ordered_pair_predicate(u) || member(v,compose(w,f2(u))) equal(x,u) -> member(ordered_pair(f31(v,w,f2(u)),f30(v,w,f2(u))),first(x))*. % 299.97/300.39 22487[0:Res:135.1,5018.1] ordered_pair_predicate(u) || member(v,compose(f2(u),w)) equal(x,u) -> member(ordered_pair(f29(v,f2(u),w),f31(v,f2(u),w)),first(x))*. % 299.97/300.39 22605[3:Res:5054.3,6192.1] little_set(u) little_set(v) || member(w,u)* member(ordered_pair(v,u),x)* equal(first(ordered_pair(v,u)),y)* -> member(w,apply(x,y))*. % 299.97/300.39 22604[0:Res:5054.3,1554.1] little_set(u) little_set(v) || member(first(f22(w,complement(second(ordered_pair(v,u))),x)),u)* member(w,image(complement(second(ordered_pair(v,u))),x)) -> . % 299.97/300.39 22600[0:Res:5054.3,259.0] little_set(u) little_set(v) || member(ordered_pair(f19(complement(second(ordered_pair(v,u)))),f20(complement(second(ordered_pair(v,u))))),u)* -> single_valued_set(complement(second(ordered_pair(v,u)))). % 299.97/300.39 22599[0:Res:5054.3,258.0] little_set(u) little_set(v) || member(ordered_pair(f19(complement(second(ordered_pair(v,u)))),f21(complement(second(ordered_pair(v,u))))),u)* -> single_valued_set(complement(second(ordered_pair(v,u)))). % 299.97/300.39 22703[0:Res:136.1,5063.1] ordered_pair_predicate(u) || member(v,compose(w,f3(u))) equal(x,u) -> member(ordered_pair(f31(v,w,f3(u)),f30(v,w,f3(u))),second(x))*. % 299.97/300.39 22695[0:Res:135.1,5063.1] ordered_pair_predicate(u) || member(v,compose(f3(u),w)) equal(x,u) -> member(ordered_pair(f29(v,f3(u),w),f31(v,f3(u),w)),second(x))*. % 299.97/300.39 22832[0:Res:3821.1,1354.0] || -> equal(image(u,cross_product(v,w)),powerset(x)) subset(f1(image(u,cross_product(v,w)),powerset(x)),x)* member(f1(image(u,cross_product(v,w)),powerset(x)),w)*. % 299.97/300.39 22927[0:Res:3839.1,1354.0] || -> equal(powerset(u),image(v,cross_product(w,x))) subset(f1(powerset(u),image(v,cross_product(w,x))),u)* member(f1(powerset(u),image(v,cross_product(w,x))),x)*. % 299.97/300.39 23028[3:Res:1339.2,6192.1] || member(u,image(v,w)) subset(w,second(x))* member(x,y)* equal(first(x),z)* -> member(f22(u,v,w),apply(y,z))*. % 299.97/300.39 23120[3:Res:1274.2,6192.1] || member(u,apply(v,w)) subset(v,second(x))* member(x,y)* equal(first(x),z)* -> member(f28(u,v,w),apply(y,z))*. % 299.97/300.39 23939[0:SpL:95.1,1227.1] || member(u,image(v,w)) member(f22(u,v,w),converse(x))* member(ordered_pair(u,first(f22(u,v,w))),y)* disjoint(y,x)* -> . % 299.97/300.39 23934[0:SpL:119.1,1227.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(x))* member(ordered_pair(second(f28(u,v,w)),w),y)* disjoint(y,x)* -> . % 299.97/300.39 24330[0:Res:281.1,1163.0] || member(u,v) -> disjoint(w,intersection(x,converse(u))) member(ordered_pair(second(f23(w,intersection(x,converse(u)))),first(f23(w,intersection(x,converse(u))))),sigma(v))*. % 299.97/300.39 24312[0:Res:6.1,1163.0] || member(u,v) -> equal(w,converse(u)) member(f1(w,converse(u)),w) member(ordered_pair(second(f1(w,converse(u))),first(f1(w,converse(u)))),sigma(v))*. % 299.97/300.39 24303[0:Res:278.1,1163.0] || member(u,v) -> subset(intersection(w,converse(u)),x) member(ordered_pair(second(f17(intersection(w,converse(u)),x)),first(f17(intersection(w,converse(u)),x))),sigma(v))*. % 299.97/300.39 24300[0:Res:277.1,1163.0] || member(u,v) -> disjoint(intersection(w,converse(u)),x) member(ordered_pair(second(f23(intersection(w,converse(u)),x)),first(f23(intersection(w,converse(u)),x))),sigma(v))*. % 299.97/300.39 24298[0:Res:289.1,1163.0] || member(u,v) -> disjoint(w,intersection(converse(u),x)) member(ordered_pair(second(f23(w,intersection(converse(u),x))),first(f23(w,intersection(converse(u),x)))),sigma(v))*. % 299.97/300.39 24286[0:Res:6.2,1163.0] || member(u,v) -> equal(converse(u),w) member(f1(converse(u),w),w) member(ordered_pair(second(f1(converse(u),w)),first(f1(converse(u),w))),sigma(v))*. % 299.97/300.39 24282[0:Res:285.1,1163.0] || member(u,v) -> disjoint(intersection(converse(u),w),x) member(ordered_pair(second(f23(intersection(converse(u),w),x)),first(f23(intersection(converse(u),w),x))),sigma(v))*. % 299.97/300.39 24280[0:Res:286.1,1163.0] || member(u,v) -> subset(intersection(converse(u),w),x) member(ordered_pair(second(f17(intersection(converse(u),w),x)),first(f17(intersection(converse(u),w),x))),sigma(v))*. % 299.97/300.39 25430[2:Res:1544.2,1467.1] || member(u,image(v,w)) subset(v,second(f28(x,y,first(f22(u,v,w)))))* member(x,apply(y,first(f22(u,v,w)))) -> . % 299.97/300.39 25397[0:Res:1544.2,1020.0] || member(u,image(v,w)) subset(v,converse(intersection(x,y)))* -> member(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),x)*. % 299.97/300.39 25396[0:Res:1544.2,1021.0] || member(u,image(v,w)) subset(v,converse(intersection(x,y)))* -> member(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),y)*. % 299.97/300.39 25483[0:Res:3651.2,1272.1] || member(f28(u,v,w),cross_product(x,universal_set))* member(f28(u,v,w),y)* member(u,apply(v,w)) disjoint(restrict(y,x),v)* -> . % 299.97/300.39 25617[0:Res:3651.2,1337.1] || member(f22(u,v,w),cross_product(x,universal_set))* member(f22(u,v,w),y)* member(u,image(v,w)) disjoint(restrict(y,x),w)* -> . % 299.97/300.39 25789[0:Res:1344.1,314.0] || member(u,image(v,cross_product(intersection(complement(w),complement(x)),y))) member(first(f22(u,v,cross_product(intersection(complement(w),complement(x)),y))),union(w,x))* -> . % 299.97/300.39 25926[0:Res:1555.1,314.0] || member(u,image(intersection(intersection(complement(v),complement(w)),x),y)) member(first(f22(u,intersection(intersection(complement(v),complement(w)),x),y)),union(v,w))* -> . % 299.97/300.39 26083[0:Res:1556.1,314.0] || member(u,image(intersection(v,intersection(complement(w),complement(x))),y)) member(first(f22(u,intersection(v,intersection(complement(w),complement(x))),y)),union(w,x))* -> . % 299.97/300.39 26153[0:Res:1280.1,314.0] || member(u,apply(cross_product(v,intersection(complement(w),complement(x))),y)) member(second(f28(u,cross_product(v,intersection(complement(w),complement(x))),y)),union(w,x))* -> . % 299.97/300.39 26364[0:Res:490.1,3812.0] || member(u,domain_of(powerset(v))) -> equal(w,f8(u,powerset(v))) member(f1(w,f8(u,powerset(v))),w)* member(f1(w,f8(u,powerset(v))),v)*. % 299.97/300.39 26363[0:Res:452.1,3812.0] || member(u,sigma(powerset(v))) -> equal(w,f16(u,powerset(v))) member(f1(w,f16(u,powerset(v))),w)* member(f1(w,f16(u,powerset(v))),v)*. % 299.97/300.39 26362[0:Res:423.1,3812.0] || member(u,range_of(powerset(v))) -> equal(w,f27(u,powerset(v))) member(f1(w,f27(u,powerset(v))),w)* member(f1(w,f27(u,powerset(v))),v)*. % 299.97/300.39 26493[0:Res:490.1,3830.0] || member(u,domain_of(powerset(v))) -> equal(f8(u,powerset(v)),w) member(f1(f8(u,powerset(v)),w),w)* member(f1(f8(u,powerset(v)),w),v)*. % 299.97/300.39 26492[0:Res:452.1,3830.0] || member(u,sigma(powerset(v))) -> equal(f16(u,powerset(v)),w) member(f1(f16(u,powerset(v)),w),w)* member(f1(f16(u,powerset(v)),w),v)*. % 299.97/300.39 26491[0:Res:423.1,3830.0] || member(u,range_of(powerset(v))) -> equal(f27(u,powerset(v)),w) member(f1(f27(u,powerset(v)),w),w)* member(f1(f27(u,powerset(v)),w),v)*. % 299.97/300.39 26694[0:Res:1103.2,1562.1] little_set(second(f28(u,v,w))) || equal(second(f28(u,v,w)),singleton_set(x))* member(u,apply(v,w)) -> member(u,sigma(ordered_pair(x,y)))*. % 299.97/300.39 26686[0:Res:33.2,1562.1] || member(second(f28(u,v,w)),x)* member(second(f28(u,v,w)),y)* member(u,apply(v,w)) -> member(u,sigma(intersection(y,x)))*. % 299.97/300.39 26685[0:Res:120.1,1562.1] || member(second(f28(u,v,w)),apply(x,y)) member(u,apply(v,w)) -> member(u,sigma(second(f28(second(f28(u,v,w)),x,y))))*. % 299.97/300.39 26848[0:Res:33.2,1542.1] || member(first(f22(u,v,w)),x)* member(first(f22(u,v,w)),y)* member(u,image(v,w)) disjoint(intersection(y,x),v)* -> . % 299.97/300.39 26847[0:Res:120.1,1542.1] || member(first(f22(u,v,w)),apply(x,y)) member(u,image(v,w)) disjoint(second(f28(first(f22(u,v,w)),x,y)),v)* -> . % 299.97/300.39 27085[0:Res:1549.1,5063.1] ordered_pair_predicate(u) || member(v,image(cross_product(f3(u),w),x)) equal(y,u) -> member(first(first(f22(v,cross_product(f3(u),w),x))),second(y))*. % 299.97/300.39 27084[0:Res:1549.1,5018.1] ordered_pair_predicate(u) || member(v,image(cross_product(f2(u),w),x)) equal(y,u) -> member(first(first(f22(v,cross_product(f2(u),w),x))),first(y))*. % 299.97/300.39 27230[0:Res:1550.1,5063.1] ordered_pair_predicate(u) || member(v,image(cross_product(w,f3(u)),x)) equal(y,u) -> member(second(first(f22(v,cross_product(w,f3(u)),x))),second(y))*. % 299.97/300.39 27229[0:Res:1550.1,5018.1] ordered_pair_predicate(u) || member(v,image(cross_product(w,f2(u)),x)) equal(y,u) -> member(second(first(f22(v,cross_product(w,f2(u)),x))),first(y))*. % 299.97/300.39 28029[0:Res:3651.2,3653.2] || member(intersection(u,v),cross_product(w,universal_set))* member(intersection(u,v),x)* member(y,v)* member(y,u)* -> member(y,sigma(restrict(x,w)))*. % 299.97/300.39 28028[0:Res:384.1,3653.2] little_set(intersection(u,v)) || member(w,v)* member(w,u)* -> member(intersection(u,v),union(x,y))* member(w,sigma(intersection(complement(x),complement(y))))*. % 299.97/300.39 28317[0:Res:3651.2,3810.0] || member(f1(u,v),cross_product(w,universal_set))* member(f1(u,v),x)* disjoint(restrict(x,w),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.39 28352[3:MRR:28302.0,6237.1] || member(second(f1(u,v)),w)* member(first(f1(u,v)),x)* disjoint(cross_product(x,w),v)* -> equal(u,v) member(f1(u,v),u)*. % 299.97/300.39 28585[0:Res:1157.2,3811.0] || member(u,v) -> disjoint(w,u) equal(x,f23(w,u)) member(f1(x,f23(w,u)),x)* member(f1(x,f23(w,u)),sigma(sigma(v)))*. % 299.97/300.39 28584[0:Res:1149.2,3811.0] || member(u,v) -> disjoint(u,w) equal(x,f23(u,w)) member(f1(x,f23(u,w)),x)* member(f1(x,f23(u,w)),sigma(sigma(v)))*. % 299.97/300.39 28583[0:Res:1150.2,3811.0] || member(u,v) -> subset(u,w) equal(x,f17(u,w)) member(f1(x,f17(u,w)),x)* member(f1(x,f17(u,w)),sigma(sigma(v)))*. % 299.97/300.39 28519[0:Res:6.1,3811.0] || -> equal(u,v) member(f1(u,v),u)* equal(w,f1(u,v)) member(f1(w,f1(u,v)),w)* member(f1(w,f1(u,v)),sigma(v))*. % 299.97/300.39 28440[0:Res:6.2,3811.0] || -> equal(u,v) member(f1(u,v),v)* equal(w,f1(u,v)) member(f1(w,f1(u,v)),w)* member(f1(w,f1(u,v)),sigma(u))*. % 299.97/300.39 28438[0:Res:86.1,3811.0] || -> single_valued_set(u) equal(v,ordered_pair(f19(u),f20(u))) member(f1(v,ordered_pair(f19(u),f20(u))),v)* member(f1(v,ordered_pair(f19(u),f20(u))),sigma(u))*. % 299.97/300.39 28437[0:Res:87.1,3811.0] || -> single_valued_set(u) equal(v,ordered_pair(f19(u),f21(u))) member(f1(v,ordered_pair(f19(u),f21(u))),v)* member(f1(v,ordered_pair(f19(u),f21(u))),sigma(u))*. % 299.97/300.39 28689[0:Res:3651.2,3828.0] || member(f1(u,v),cross_product(w,universal_set))* member(f1(u,v),x)* disjoint(restrict(x,w),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.39 28727[3:MRR:28674.0,6237.1] || member(second(f1(u,v)),w)* member(first(f1(u,v)),x)* disjoint(cross_product(x,w),u)* -> equal(u,v) member(f1(u,v),v)*. % 299.97/300.39 28962[0:Res:1157.2,3829.0] || member(u,v) -> disjoint(w,u) equal(f23(w,u),x) member(f1(f23(w,u),x),x)* member(f1(f23(w,u),x),sigma(sigma(v)))*. % 299.97/300.39 28961[0:Res:1149.2,3829.0] || member(u,v) -> disjoint(u,w) equal(f23(u,w),x) member(f1(f23(u,w),x),x)* member(f1(f23(u,w),x),sigma(sigma(v)))*. % 299.97/300.39 28960[0:Res:1150.2,3829.0] || member(u,v) -> subset(u,w) equal(f17(u,w),x) member(f1(f17(u,w),x),x)* member(f1(f17(u,w),x),sigma(sigma(v)))*. % 299.97/300.39 28896[0:Res:6.1,3829.0] || -> equal(u,v) member(f1(u,v),u)* equal(f1(u,v),w) member(f1(f1(u,v),w),w)* member(f1(f1(u,v),w),sigma(v))*. % 299.97/300.39 28817[0:Res:6.2,3829.0] || -> equal(u,v) member(f1(u,v),v)* equal(f1(u,v),w) member(f1(f1(u,v),w),w)* member(f1(f1(u,v),w),sigma(u))*. % 299.97/300.39 28815[0:Res:86.1,3829.0] || -> single_valued_set(u) equal(ordered_pair(f19(u),f20(u)),v) member(f1(ordered_pair(f19(u),f20(u)),v),v)* member(f1(ordered_pair(f19(u),f20(u)),v),sigma(u))*. % 299.97/300.39 28814[0:Res:87.1,3829.0] || -> single_valued_set(u) equal(ordered_pair(f19(u),f21(u)),v) member(f1(ordered_pair(f19(u),f21(u)),v),v)* member(f1(ordered_pair(f19(u),f21(u)),v),sigma(u))*. % 299.97/300.39 29850[0:Res:1274.2,5019.1] || member(u,apply(v,w)) subset(v,f4(x,y))* member(x,first(y)) equal(z,y)* -> member(f28(u,v,w),first(z))*. % 299.97/300.39 29848[0:Res:1339.2,5019.1] || member(u,image(v,w)) subset(w,f4(x,y))* member(x,first(y)) equal(z,y)* -> member(f22(u,v,w),first(z))*. % 299.97/300.39 29819[0:Res:427.1,5019.1] || member(u,range_of(intersection(v,f4(w,x)))) member(w,first(x)) equal(y,x) -> member(f27(u,intersection(v,f4(w,x))),first(y))*. % 299.97/300.39 29817[0:Res:456.1,5019.1] || member(u,sigma(intersection(v,f4(w,x)))) member(w,first(x)) equal(y,x) -> member(f16(u,intersection(v,f4(w,x))),first(y))*. % 299.97/300.39 29815[0:Res:494.1,5019.1] || member(u,domain_of(intersection(v,f4(w,x)))) member(w,first(x)) equal(y,x) -> member(f8(u,intersection(v,f4(w,x))),first(y))*. % 299.97/300.39 29790[0:Res:426.1,5019.1] || member(u,range_of(intersection(f4(v,w),x))) member(v,first(w)) equal(y,w) -> member(f27(u,intersection(f4(v,w),x)),first(y))*. % 299.97/300.39 29788[0:Res:455.1,5019.1] || member(u,sigma(intersection(f4(v,w),x))) member(v,first(w)) equal(y,w) -> member(f16(u,intersection(f4(v,w),x)),first(y))*. % 299.97/300.39 29786[0:Res:493.1,5019.1] || member(u,domain_of(intersection(f4(v,w),x))) member(v,first(w)) equal(y,w) -> member(f8(u,intersection(f4(v,w),x)),first(y))*. % 299.97/300.39 30263[0:Res:1274.2,5020.1] || member(u,apply(v,w)) subset(v,f6(x,y))* member(x,second(y)) equal(z,y)* -> member(f28(u,v,w),first(z))*. % 299.97/300.39 30261[0:Res:1339.2,5020.1] || member(u,image(v,w)) subset(w,f6(x,y))* member(x,second(y)) equal(z,y)* -> member(f22(u,v,w),first(z))*. % 299.97/300.39 30232[0:Res:427.1,5020.1] || member(u,range_of(intersection(v,f6(w,x)))) member(w,second(x)) equal(y,x) -> member(f27(u,intersection(v,f6(w,x))),first(y))*. % 299.97/300.39 30230[0:Res:456.1,5020.1] || member(u,sigma(intersection(v,f6(w,x)))) member(w,second(x)) equal(y,x) -> member(f16(u,intersection(v,f6(w,x))),first(y))*. % 299.97/300.39 30228[0:Res:494.1,5020.1] || member(u,domain_of(intersection(v,f6(w,x)))) member(w,second(x)) equal(y,x) -> member(f8(u,intersection(v,f6(w,x))),first(y))*. % 299.97/300.39 30203[0:Res:426.1,5020.1] || member(u,range_of(intersection(f6(v,w),x))) member(v,second(w)) equal(y,w) -> member(f27(u,intersection(f6(v,w),x)),first(y))*. % 299.97/300.39 30201[0:Res:455.1,5020.1] || member(u,sigma(intersection(f6(v,w),x))) member(v,second(w)) equal(y,w) -> member(f16(u,intersection(f6(v,w),x)),first(y))*. % 299.97/300.39 30199[0:Res:493.1,5020.1] || member(u,domain_of(intersection(f6(v,w),x))) member(v,second(w)) equal(y,w) -> member(f8(u,intersection(f6(v,w),x)),first(y))*. % 299.97/300.39 30374[0:Res:1274.2,5022.1] || member(u,apply(v,w)) subset(v,f9(x,y))* member(x,rotate_right(y)) equal(z,x)* -> member(f28(u,v,w),first(z))*. % 299.97/300.39 30372[0:Res:1339.2,5022.1] || member(u,image(v,w)) subset(w,f9(x,y))* member(x,rotate_right(y)) equal(z,x)* -> member(f22(u,v,w),first(z))*. % 299.97/300.39 30343[0:Res:427.1,5022.1] || member(u,range_of(intersection(v,f9(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(f27(u,intersection(v,f9(w,x))),first(y))*. % 299.97/300.39 30341[0:Res:456.1,5022.1] || member(u,sigma(intersection(v,f9(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(f16(u,intersection(v,f9(w,x))),first(y))*. % 299.97/300.39 30339[0:Res:494.1,5022.1] || member(u,domain_of(intersection(v,f9(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(f8(u,intersection(v,f9(w,x))),first(y))*. % 299.97/300.39 30314[0:Res:426.1,5022.1] || member(u,range_of(intersection(f9(v,w),x))) member(v,rotate_right(w)) equal(y,v) -> member(f27(u,intersection(f9(v,w),x)),first(y))*. % 299.97/300.39 30312[0:Res:455.1,5022.1] || member(u,sigma(intersection(f9(v,w),x))) member(v,rotate_right(w)) equal(y,v) -> member(f16(u,intersection(f9(v,w),x)),first(y))*. % 299.97/300.39 30310[0:Res:493.1,5022.1] || member(u,domain_of(intersection(f9(v,w),x))) member(v,rotate_right(w)) equal(y,v) -> member(f8(u,intersection(f9(v,w),x)),first(y))*. % 299.97/300.39 30517[0:Res:1274.2,5024.1] || member(u,apply(v,w)) subset(v,f12(x,y))* member(x,flip_range_of(y)) equal(z,x)* -> member(f28(u,v,w),first(z))*. % 299.97/300.39 30515[0:Res:1339.2,5024.1] || member(u,image(v,w)) subset(w,f12(x,y))* member(x,flip_range_of(y)) equal(z,x)* -> member(f22(u,v,w),first(z))*. % 299.97/300.39 30486[0:Res:427.1,5024.1] || member(u,range_of(intersection(v,f12(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(f27(u,intersection(v,f12(w,x))),first(y))*. % 299.97/300.39 30484[0:Res:456.1,5024.1] || member(u,sigma(intersection(v,f12(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(f16(u,intersection(v,f12(w,x))),first(y))*. % 299.97/300.39 30482[0:Res:494.1,5024.1] || member(u,domain_of(intersection(v,f12(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(f8(u,intersection(v,f12(w,x))),first(y))*. % 299.97/300.39 30457[0:Res:426.1,5024.1] || member(u,range_of(intersection(f12(v,w),x))) member(v,flip_range_of(w)) equal(y,v) -> member(f27(u,intersection(f12(v,w),x)),first(y))*. % 299.97/300.39 30455[0:Res:455.1,5024.1] || member(u,sigma(intersection(f12(v,w),x))) member(v,flip_range_of(w)) equal(y,v) -> member(f16(u,intersection(f12(v,w),x)),first(y))*. % 299.97/300.39 30453[0:Res:493.1,5024.1] || member(u,domain_of(intersection(f12(v,w),x))) member(v,flip_range_of(w)) equal(y,v) -> member(f8(u,intersection(f12(v,w),x)),first(y))*. % 299.97/300.39 30670[0:Res:1274.2,5064.1] || member(u,apply(v,w)) subset(v,f5(x,y))* member(x,first(y)) equal(z,y)* -> member(f28(u,v,w),second(z))*. % 299.97/300.39 30668[0:Res:1339.2,5064.1] || member(u,image(v,w)) subset(w,f5(x,y))* member(x,first(y)) equal(z,y)* -> member(f22(u,v,w),second(z))*. % 299.97/300.39 30639[0:Res:427.1,5064.1] || member(u,range_of(intersection(v,f5(w,x)))) member(w,first(x)) equal(y,x) -> member(f27(u,intersection(v,f5(w,x))),second(y))*. % 299.97/300.39 30637[0:Res:456.1,5064.1] || member(u,sigma(intersection(v,f5(w,x)))) member(w,first(x)) equal(y,x) -> member(f16(u,intersection(v,f5(w,x))),second(y))*. % 299.97/300.39 30635[0:Res:494.1,5064.1] || member(u,domain_of(intersection(v,f5(w,x)))) member(w,first(x)) equal(y,x) -> member(f8(u,intersection(v,f5(w,x))),second(y))*. % 299.97/300.39 30610[0:Res:426.1,5064.1] || member(u,range_of(intersection(f5(v,w),x))) member(v,first(w)) equal(y,w) -> member(f27(u,intersection(f5(v,w),x)),second(y))*. % 299.97/300.39 30608[0:Res:455.1,5064.1] || member(u,sigma(intersection(f5(v,w),x))) member(v,first(w)) equal(y,w) -> member(f16(u,intersection(f5(v,w),x)),second(y))*. % 299.97/300.39 30606[0:Res:493.1,5064.1] || member(u,domain_of(intersection(f5(v,w),x))) member(v,first(w)) equal(y,w) -> member(f8(u,intersection(f5(v,w),x)),second(y))*. % 299.97/300.39 30827[0:Res:1274.2,5065.1] || member(u,apply(v,w)) subset(v,f7(x,y))* member(x,second(y)) equal(z,y)* -> member(f28(u,v,w),second(z))*. % 299.97/300.39 30825[0:Res:1339.2,5065.1] || member(u,image(v,w)) subset(w,f7(x,y))* member(x,second(y)) equal(z,y)* -> member(f22(u,v,w),second(z))*. % 299.97/300.39 30796[0:Res:427.1,5065.1] || member(u,range_of(intersection(v,f7(w,x)))) member(w,second(x)) equal(y,x) -> member(f27(u,intersection(v,f7(w,x))),second(y))*. % 299.97/300.39 30794[0:Res:456.1,5065.1] || member(u,sigma(intersection(v,f7(w,x)))) member(w,second(x)) equal(y,x) -> member(f16(u,intersection(v,f7(w,x))),second(y))*. % 299.97/300.39 30792[0:Res:494.1,5065.1] || member(u,domain_of(intersection(v,f7(w,x)))) member(w,second(x)) equal(y,x) -> member(f8(u,intersection(v,f7(w,x))),second(y))*. % 299.97/300.39 30767[0:Res:426.1,5065.1] || member(u,range_of(intersection(f7(v,w),x))) member(v,second(w)) equal(y,w) -> member(f27(u,intersection(f7(v,w),x)),second(y))*. % 299.97/300.39 30765[0:Res:455.1,5065.1] || member(u,sigma(intersection(f7(v,w),x))) member(v,second(w)) equal(y,w) -> member(f16(u,intersection(f7(v,w),x)),second(y))*. % 299.97/300.39 30763[0:Res:493.1,5065.1] || member(u,domain_of(intersection(f7(v,w),x))) member(v,second(w)) equal(y,w) -> member(f8(u,intersection(f7(v,w),x)),second(y))*. % 299.97/300.39 31424[0:Res:3824.2,547.0] || -> equal(u,intersection(range_of(cross_product(v,w)),x)) member(f1(u,intersection(range_of(cross_product(v,w)),x)),u)* member(f1(u,intersection(range_of(cross_product(v,w)),x)),w)*. % 299.97/300.39 31422[0:Res:3824.2,560.0] || -> equal(u,intersection(domain_of(cross_product(v,w)),x)) member(f1(u,intersection(domain_of(cross_product(v,w)),x)),u)* member(f1(u,intersection(domain_of(cross_product(v,w)),x)),v)*. % 299.97/300.39 31407[0:Res:3824.2,4238.0] || equal(u,f1(v,intersection(compose(w,x),y)))* -> equal(v,intersection(compose(w,x),y)) member(f1(v,intersection(compose(w,x),y)),v)* ordered_pair_predicate(u)*. % 299.97/300.39 31366[0:Res:3824.1,547.0] || -> equal(range_of(cross_product(u,v)),intersection(w,x)) member(f1(range_of(cross_product(u,v)),intersection(w,x)),w)* member(f1(range_of(cross_product(u,v)),intersection(w,x)),v)*. % 299.97/300.39 31364[0:Res:3824.1,560.0] || -> equal(domain_of(cross_product(u,v)),intersection(w,x)) member(f1(domain_of(cross_product(u,v)),intersection(w,x)),w)* member(f1(domain_of(cross_product(u,v)),intersection(w,x)),u)*. % 299.97/300.39 31349[0:Res:3824.1,4238.0] || equal(u,f1(compose(v,w),intersection(x,y)))* -> equal(compose(v,w),intersection(x,y)) member(f1(compose(v,w),intersection(x,y)),x)* ordered_pair_predicate(u)*. % 299.97/300.39 31634[0:Res:3825.2,547.0] || -> equal(u,intersection(v,range_of(cross_product(w,x)))) member(f1(u,intersection(v,range_of(cross_product(w,x)))),u)* member(f1(u,intersection(v,range_of(cross_product(w,x)))),x)*. % 299.97/300.39 31632[0:Res:3825.2,560.0] || -> equal(u,intersection(v,domain_of(cross_product(w,x)))) member(f1(u,intersection(v,domain_of(cross_product(w,x)))),u)* member(f1(u,intersection(v,domain_of(cross_product(w,x)))),w)*. % 299.97/300.39 31617[0:Res:3825.2,4238.0] || equal(u,f1(v,intersection(w,compose(x,y))))* -> equal(v,intersection(w,compose(x,y))) member(f1(v,intersection(w,compose(x,y))),v)* ordered_pair_predicate(u)*. % 299.97/300.39 31576[0:Res:3825.1,547.0] || -> equal(range_of(cross_product(u,v)),intersection(w,x)) member(f1(range_of(cross_product(u,v)),intersection(w,x)),x)* member(f1(range_of(cross_product(u,v)),intersection(w,x)),v)*. % 299.97/300.39 31574[0:Res:3825.1,560.0] || -> equal(domain_of(cross_product(u,v)),intersection(w,x)) member(f1(domain_of(cross_product(u,v)),intersection(w,x)),x)* member(f1(domain_of(cross_product(u,v)),intersection(w,x)),u)*. % 299.97/300.39 31559[0:Res:3825.1,4238.0] || equal(u,f1(compose(v,w),intersection(x,y)))* -> equal(compose(v,w),intersection(x,y)) member(f1(compose(v,w),intersection(x,y)),y)* ordered_pair_predicate(u)*. % 299.97/300.39 31817[0:Res:3842.2,547.0] || -> equal(intersection(range_of(cross_product(u,v)),w),x) member(f1(intersection(range_of(cross_product(u,v)),w),x),x)* member(f1(intersection(range_of(cross_product(u,v)),w),x),v)*. % 299.97/300.39 31815[0:Res:3842.2,560.0] || -> equal(intersection(domain_of(cross_product(u,v)),w),x) member(f1(intersection(domain_of(cross_product(u,v)),w),x),x)* member(f1(intersection(domain_of(cross_product(u,v)),w),x),u)*. % 299.97/300.39 31800[0:Res:3842.2,4238.0] || equal(u,f1(intersection(compose(v,w),x),y))* -> equal(intersection(compose(v,w),x),y) member(f1(intersection(compose(v,w),x),y),y)* ordered_pair_predicate(u)*. % 299.97/300.39 31759[0:Res:3842.1,547.0] || -> equal(intersection(u,v),range_of(cross_product(w,x))) member(f1(intersection(u,v),range_of(cross_product(w,x))),u)* member(f1(intersection(u,v),range_of(cross_product(w,x))),x)*. % 299.97/300.39 31757[0:Res:3842.1,560.0] || -> equal(intersection(u,v),domain_of(cross_product(w,x))) member(f1(intersection(u,v),domain_of(cross_product(w,x))),u)* member(f1(intersection(u,v),domain_of(cross_product(w,x))),w)*. % 299.97/300.39 31742[0:Res:3842.1,4238.0] || equal(u,f1(intersection(v,w),compose(x,y)))* -> equal(intersection(v,w),compose(x,y)) member(f1(intersection(v,w),compose(x,y)),v)* ordered_pair_predicate(u)*. % 299.97/300.39 31998[0:Res:3843.2,547.0] || -> equal(intersection(u,range_of(cross_product(v,w))),x) member(f1(intersection(u,range_of(cross_product(v,w))),x),x)* member(f1(intersection(u,range_of(cross_product(v,w))),x),w)*. % 299.97/300.39 31996[0:Res:3843.2,560.0] || -> equal(intersection(u,domain_of(cross_product(v,w))),x) member(f1(intersection(u,domain_of(cross_product(v,w))),x),x)* member(f1(intersection(u,domain_of(cross_product(v,w))),x),v)*. % 299.97/300.39 31981[0:Res:3843.2,4238.0] || equal(u,f1(intersection(v,compose(w,x)),y))* -> equal(intersection(v,compose(w,x)),y) member(f1(intersection(v,compose(w,x)),y),y)* ordered_pair_predicate(u)*. % 299.97/300.39 31940[0:Res:3843.1,547.0] || -> equal(intersection(u,v),range_of(cross_product(w,x))) member(f1(intersection(u,v),range_of(cross_product(w,x))),v)* member(f1(intersection(u,v),range_of(cross_product(w,x))),x)*. % 299.97/300.39 31938[0:Res:3843.1,560.0] || -> equal(intersection(u,v),domain_of(cross_product(w,x))) member(f1(intersection(u,v),domain_of(cross_product(w,x))),v)* member(f1(intersection(u,v),domain_of(cross_product(w,x))),w)*. % 299.97/300.39 31923[0:Res:3843.1,4238.0] || equal(u,f1(intersection(v,w),compose(x,y)))* -> equal(intersection(v,w),compose(x,y)) member(f1(intersection(v,w),compose(x,y)),w)* ordered_pair_predicate(u)*. % 299.97/300.39 32417[0:Res:67.1,4119.1] || member(ordered_pair(u,first(f27(u,v))),sigma(w)) member(u,range_of(v)) -> member(f27(u,v),converse(f16(ordered_pair(u,first(f27(u,v))),w)))*. % 299.97/300.39 32416[0:Res:21.1,4119.1] || member(ordered_pair(u,first(f27(u,v))),first(w)) member(u,range_of(v)) -> member(f27(u,v),converse(f4(ordered_pair(u,first(f27(u,v))),w)))*. % 299.97/300.39 32415[0:Res:26.1,4119.1] || member(ordered_pair(u,first(f27(u,v))),second(w)) member(u,range_of(v)) -> member(f27(u,v),converse(f7(ordered_pair(u,first(f27(u,v))),w)))*. % 299.97/300.39 32499[0:Res:67.1,4120.1] || member(ordered_pair(second(f8(u,v)),u),sigma(w)) member(u,domain_of(v)) -> member(f8(u,v),converse(f16(ordered_pair(second(f8(u,v)),u),w)))*. % 299.97/300.39 32498[0:Res:21.1,4120.1] || member(ordered_pair(second(f8(u,v)),u),first(w)) member(u,domain_of(v)) -> member(f8(u,v),converse(f4(ordered_pair(second(f8(u,v)),u),w)))*. % 299.97/300.39 32497[0:Res:26.1,4120.1] || member(ordered_pair(second(f8(u,v)),u),second(w)) member(u,domain_of(v)) -> member(f8(u,v),converse(f7(ordered_pair(second(f8(u,v)),u),w)))*. % 299.97/300.39 32828[0:Res:3836.2,274.0] || -> equal(cross_product(u,restrict(v,w)),x) member(f1(cross_product(u,restrict(v,w)),x),x)* member(second(f1(cross_product(u,restrict(v,w)),x)),cross_product(w,universal_set))*. % 299.97/300.39 32770[0:Res:3836.1,274.0] || -> equal(cross_product(u,v),restrict(w,x)) member(second(f1(cross_product(u,v),restrict(w,x))),v)* member(f1(cross_product(u,v),restrict(w,x)),cross_product(x,universal_set))*. % 299.97/300.39 32993[0:Res:3835.2,274.0] || -> equal(cross_product(restrict(u,v),w),x) member(f1(cross_product(restrict(u,v),w),x),x)* member(first(f1(cross_product(restrict(u,v),w),x)),cross_product(v,universal_set))*. % 299.97/300.39 32935[0:Res:3835.1,274.0] || -> equal(cross_product(u,v),restrict(w,x)) member(first(f1(cross_product(u,v),restrict(w,x))),u)* member(f1(cross_product(u,v),restrict(w,x)),cross_product(x,universal_set))*. % 299.97/300.39 33164[0:Res:3818.2,274.0] || -> equal(u,cross_product(v,restrict(w,x))) member(f1(u,cross_product(v,restrict(w,x))),u)* member(second(f1(u,cross_product(v,restrict(w,x)))),cross_product(x,universal_set))*. % 299.97/300.39 33106[0:Res:3818.1,274.0] || -> equal(restrict(u,v),cross_product(w,x)) member(second(f1(restrict(u,v),cross_product(w,x))),x)* member(f1(restrict(u,v),cross_product(w,x)),cross_product(v,universal_set))*. % 299.97/300.39 33330[0:Res:3817.2,274.0] || -> equal(u,cross_product(restrict(v,w),x)) member(f1(u,cross_product(restrict(v,w),x)),u)* member(first(f1(u,cross_product(restrict(v,w),x))),cross_product(w,universal_set))*. % 299.97/300.39 33272[0:Res:3817.1,274.0] || -> equal(restrict(u,v),cross_product(w,x)) member(first(f1(restrict(u,v),cross_product(w,x))),w)* member(f1(restrict(u,v),cross_product(w,x)),cross_product(v,universal_set))*. % 299.97/300.39 33525[0:SpL:372.0,1441.0] || member(u,converse(ordered_pair(singleton_set(v),non_ordered_pair(v,w))))* -> equal(ordered_pair(second(u),first(u)),ordered_pair(v,w))* equal(ordered_pair(second(u),first(u)),singleton_set(singleton_set(v))). % 299.97/300.39 33648[0:Rew:108.1,33604.3,108.1,33604.2] || member(u,range_of(v)) subset(v,converse(non_ordered_pair(w,x)))* -> equal(ordered_pair(u,first(f27(u,v))),x)* equal(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.39 33649[0:Rew:39.1,33600.3,39.1,33600.2] || member(u,domain_of(v)) subset(v,converse(non_ordered_pair(w,x)))* -> equal(ordered_pair(second(f8(u,v)),u),x)* equal(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.39 33818[0:Rew:36.0,33785.0] || member(u,compose(v,union(w,x))) member(ordered_pair(f31(u,v,union(w,x)),f30(u,v,union(w,x))),intersection(complement(w),complement(x)))* -> . % 299.97/300.39 33824[0:SSi:33805.0,371.0] || equal(ordered_pair(f31(u,v,complement(ordered_pair(w,x))),f30(u,v,complement(ordered_pair(w,x)))),singleton_set(w))** member(u,compose(v,complement(ordered_pair(w,x)))) -> . % 299.97/300.39 33906[0:Rew:36.0,33873.0] || member(u,compose(union(v,w),x)) member(ordered_pair(f29(u,union(v,w),x),f31(u,union(v,w),x)),intersection(complement(v),complement(w)))* -> . % 299.97/300.39 33912[0:SSi:33893.0,371.0] || equal(ordered_pair(f29(u,complement(ordered_pair(v,w)),x),f31(u,complement(ordered_pair(v,w)),x)),singleton_set(v))** member(u,compose(complement(ordered_pair(v,w)),x)) -> . % 299.97/300.39 33981[3:Rew:108.1,33952.3] || member(u,range_of(v)) member(f27(u,v),w)* equal(first(f27(u,v)),x)* -> disjoint(y,u) member(f23(y,u),apply(w,x))*. % 299.97/300.39 33982[3:Obv:33956.2] || member(u,v)* equal(first(u),w)* -> equal(f23(non_ordered_pair(x,y),second(u)),x)** disjoint(non_ordered_pair(x,y),second(u)) member(y,apply(v,w))*. % 299.97/300.39 33983[3:Obv:33955.2] || member(u,v)* equal(first(u),w)* -> equal(f23(non_ordered_pair(x,y),second(u)),y)** disjoint(non_ordered_pair(x,y),second(u)) member(x,apply(v,w))*. % 299.97/300.39 34127[3:Rew:108.1,34098.3] || member(u,range_of(v)) member(f27(u,v),w)* equal(first(f27(u,v)),x)* -> disjoint(u,y) member(f23(u,y),apply(w,x))*. % 299.97/300.39 34128[3:Obv:34102.2] || member(u,v)* equal(first(u),w)* -> equal(f23(second(u),non_ordered_pair(x,y)),x)** disjoint(second(u),non_ordered_pair(x,y)) member(y,apply(v,w))*. % 299.97/300.39 34129[3:Obv:34101.2] || member(u,v)* equal(first(u),w)* -> equal(f23(second(u),non_ordered_pair(x,y)),y)** disjoint(second(u),non_ordered_pair(x,y)) member(x,apply(v,w))*. % 299.97/300.39 34199[3:Rew:108.1,34176.3] || member(u,range_of(v)) member(f27(u,v),w)* equal(first(f27(u,v)),x)* -> subset(u,y) member(f17(u,y),apply(w,x))*. % 299.97/300.39 34272[0:Res:955.2,1437.0] || subset(u,range_of(non_ordered_pair(v,w))) -> subset(u,x) equal(f27(f17(u,x),non_ordered_pair(v,w)),w)** equal(f27(f17(u,x),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34269[0:Res:961.2,1437.0] || subset(u,range_of(non_ordered_pair(v,w))) -> disjoint(x,u) equal(f27(f23(x,u),non_ordered_pair(v,w)),w)** equal(f27(f23(x,u),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34267[0:Res:954.2,1437.0] || subset(u,range_of(non_ordered_pair(v,w))) -> disjoint(u,x) equal(f27(f23(u,x),non_ordered_pair(v,w)),w)** equal(f27(f23(u,x),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34444[0:Res:955.2,1438.0] || subset(u,sigma(non_ordered_pair(v,w))) -> subset(u,x) equal(f16(f17(u,x),non_ordered_pair(v,w)),w)** equal(f16(f17(u,x),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34441[0:Res:961.2,1438.0] || subset(u,sigma(non_ordered_pair(v,w))) -> disjoint(x,u) equal(f16(f23(x,u),non_ordered_pair(v,w)),w)** equal(f16(f23(x,u),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34439[0:Res:954.2,1438.0] || subset(u,sigma(non_ordered_pair(v,w))) -> disjoint(u,x) equal(f16(f23(u,x),non_ordered_pair(v,w)),w)** equal(f16(f23(u,x),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34609[0:Res:955.2,1439.0] || subset(u,domain_of(non_ordered_pair(v,w))) -> subset(u,x) equal(f8(f17(u,x),non_ordered_pair(v,w)),w)** equal(f8(f17(u,x),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34606[0:Res:961.2,1439.0] || subset(u,domain_of(non_ordered_pair(v,w))) -> disjoint(x,u) equal(f8(f23(x,u),non_ordered_pair(v,w)),w)** equal(f8(f23(x,u),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34604[0:Res:954.2,1439.0] || subset(u,domain_of(non_ordered_pair(v,w))) -> disjoint(u,x) equal(f8(f23(u,x),non_ordered_pair(v,w)),w)** equal(f8(f23(u,x),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34781[3:Obv:34768.3] || member(u,v) equal(first(u),w) member(f17(second(u),intersection(x,apply(v,w))),x)* -> subset(second(u),intersection(x,apply(v,w))). % 299.97/300.39 34784[0:MRR:34759.0,213.1] || equal(f17(u,intersection(v,ordered_pair(w,x))),singleton_set(w)) member(f17(u,intersection(v,ordered_pair(w,x))),v)* -> subset(u,intersection(v,ordered_pair(w,x))). % 299.97/300.39 34860[0:MRR:34843.0,5.0] || equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),singleton_set(u))** equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),x)** -> equal(ordered_pair(u,v),non_ordered_pair(w,x)). % 299.97/300.39 34928[0:MRR:34911.0,5.0] || equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),singleton_set(u))** equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),w)** -> equal(ordered_pair(u,v),non_ordered_pair(w,x)). % 299.97/300.39 35078[0:Res:963.2,5025.1] || member(u,range_of(v)) subset(v,f29(w,x,y))* member(w,compose(x,y)) equal(z,w)* -> member(f27(u,v),first(z))*. % 299.97/300.39 35076[0:Res:964.2,5025.1] || member(u,sigma(v)) subset(v,f29(w,x,y))* member(w,compose(x,y)) equal(z,w)* -> member(f16(u,v),first(z))*. % 299.97/300.39 35074[0:Res:965.2,5025.1] || member(u,domain_of(v)) subset(v,f29(w,x,y))* member(w,compose(x,y)) equal(z,w)* -> member(f8(u,v),first(z))*. % 299.97/300.39 35248[0:Res:963.2,5066.1] || member(u,range_of(v)) subset(v,f30(w,x,y))* member(w,compose(x,y)) equal(z,w)* -> member(f27(u,v),second(z))*. % 299.97/300.39 35246[0:Res:964.2,5066.1] || member(u,sigma(v)) subset(v,f30(w,x,y))* member(w,compose(x,y)) equal(z,w)* -> member(f16(u,v),second(z))*. % 299.97/300.39 35244[0:Res:965.2,5066.1] || member(u,domain_of(v)) subset(v,f30(w,x,y))* member(w,compose(x,y)) equal(z,w)* -> member(f8(u,v),second(z))*. % 299.97/300.39 35356[0:Res:4273.2,314.0] || member(u,compose(v,w)) subset(w,intersection(complement(x),complement(y))) member(ordered_pair(f31(u,v,w),f30(u,v,w)),union(x,y))* -> . % 299.97/300.39 35476[0:Res:4348.2,314.0] || member(u,compose(v,w)) subset(v,intersection(complement(x),complement(y))) member(ordered_pair(f29(u,v,w),f31(u,v,w)),union(x,y))* -> . % 299.97/300.39 35617[3:MRR:35573.0,6165.1] || member(ordered_pair(second(successor(u)),first(successor(u))),sigma(v)) member(u,infinity) disjoint(converse(f16(ordered_pair(second(successor(u)),first(successor(u))),v)),infinity)* -> . % 299.97/300.39 35776[3:MRR:35732.0,6165.1] || member(ordered_pair(second(successor(u)),first(successor(u))),first(v)) member(u,infinity) disjoint(converse(f4(ordered_pair(second(successor(u)),first(successor(u))),v)),infinity)* -> . % 299.97/300.39 35995[3:MRR:35951.0,6165.1] || member(ordered_pair(second(successor(u)),first(successor(u))),second(v)) member(u,infinity) disjoint(converse(f7(ordered_pair(second(successor(u)),first(successor(u))),v)),infinity)* -> . % 299.97/300.39 38379[0:Res:67.1,5125.1] || member(f28(u,v,w),sigma(x)) member(u,apply(v,w)) equal(w,y) -> member(u,apply(f16(f28(u,v,w),x),y))*. % 299.97/300.39 38378[0:Res:21.1,5125.1] || member(f28(u,v,w),first(x)) member(u,apply(v,w)) equal(w,y) -> member(u,apply(f4(f28(u,v,w),x),y))*. % 299.97/300.39 38377[0:Res:26.1,5125.1] || member(f28(u,v,w),second(x)) member(u,apply(v,w)) equal(w,y) -> member(u,apply(f7(f28(u,v,w),x),y))*. % 299.97/300.39 38670[3:Res:6210.3,68.0] || member(u,v)* equal(first(u),w)* member(apply(v,w),x)* -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f20(second(u))),sigma(x))*. % 299.97/300.39 38669[3:Res:6210.3,98.0] || member(u,v)* equal(first(u),w)* member(ordered_pair(f19(second(u)),f20(second(u))),x)* disjoint(x,apply(v,w))* -> single_valued_set(second(u)). % 299.97/300.39 38740[3:Res:6211.3,68.0] || member(u,v)* equal(first(u),w)* member(apply(v,w),x)* -> single_valued_set(second(u)) member(ordered_pair(f19(second(u)),f21(second(u))),sigma(x))*. % 299.97/300.39 38739[3:Res:6211.3,98.0] || member(u,v)* equal(first(u),w)* member(ordered_pair(f19(second(u)),f21(second(u))),x)* disjoint(x,apply(v,w))* -> single_valued_set(second(u)). % 299.97/300.39 38861[0:Res:67.1,4457.3] ordered_pair_predicate(u) || member(cross_product(v,w),sigma(x)) member(second(u),w) member(first(u),v) -> member(u,sigma(f16(cross_product(v,w),x)))*. % 299.97/300.39 38860[0:Res:21.1,4457.3] ordered_pair_predicate(u) || member(cross_product(v,w),first(x)) member(second(u),w) member(first(u),v) -> member(u,sigma(f4(cross_product(v,w),x)))*. % 299.97/300.39 38859[0:Res:26.1,4457.3] ordered_pair_predicate(u) || member(cross_product(v,w),second(x)) member(second(u),w) member(first(u),v) -> member(u,sigma(f7(cross_product(v,w),x)))*. % 299.97/300.39 38854[0:Res:35.2,4457.3] little_set(cross_product(u,v)) ordered_pair_predicate(w) || member(second(w),v)* member(first(w),u)* -> member(cross_product(u,v),x)* member(w,sigma(complement(x)))*. % 299.97/300.39 38913[3:Res:6207.3,68.0] || member(u,range_of(second(v))) member(v,w)* equal(first(v),x)* member(apply(w,x),y)* -> member(f27(u,second(v)),sigma(y))*. % 299.97/300.39 38912[3:Res:6207.3,98.0] || member(u,range_of(second(v))) member(v,w)* equal(first(v),x)* member(f27(u,second(v)),y)* disjoint(y,apply(w,x))* -> . % 299.97/300.39 38931[3:Obv:38919.1] little_set(u) || member(v,w)* equal(first(v),x)* member(y,range_of(second(v)))* equal(u,y)* -> member(u,range_of(apply(w,x)))*. % 299.97/300.39 39008[3:Res:6208.3,68.0] || member(u,sigma(second(v))) member(v,w)* equal(first(v),x)* member(apply(w,x),y)* -> member(f16(u,second(v)),sigma(y))*. % 299.97/300.39 39007[3:Res:6208.3,98.0] || member(u,sigma(second(v))) member(v,w)* equal(first(v),x)* member(f16(u,second(v)),y)* disjoint(y,apply(w,x))* -> . % 299.97/300.39 39063[3:Res:384.1,20705.0] little_set(complement(sigma(intersection(complement(u),complement(v))))) || -> member(complement(sigma(intersection(complement(u),complement(v)))),union(u,v))* member(infinity,sigma(intersection(complement(u),complement(v)))). % 299.97/300.39 39083[3:Res:6209.3,68.0] || member(u,domain_of(second(v))) member(v,w)* equal(first(v),x)* member(apply(w,x),y)* -> member(f8(u,second(v)),sigma(y))*. % 299.97/300.39 39082[3:Res:6209.3,98.0] || member(u,domain_of(second(v))) member(v,w)* equal(first(v),x)* member(f8(u,second(v)),y)* disjoint(y,apply(w,x))* -> . % 299.97/300.39 39101[3:Obv:39089.1] little_set(u) || member(v,w)* equal(first(v),x)* member(y,domain_of(second(v)))* equal(u,y)* -> member(u,domain_of(apply(w,x)))*. % 299.97/300.39 39163[0:Res:4621.2,68.0] || member(u,flip_range_of(v)) member(v,w)* member(sigma(w),x)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),sigma(x))*. % 299.97/300.39 39162[0:Res:4621.2,98.0] || member(u,flip_range_of(v)) member(v,w)* member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)* disjoint(x,sigma(w))* -> . % 299.97/300.39 39240[0:SSi:39213.0,371.0,371.0] || member(u,flip_range_of(v)) disjoint(intersection(complement(w),complement(x)),v) -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),union(w,x))*. % 299.97/300.39 39627[0:Res:4769.2,68.0] || member(u,rotate_right(v)) member(v,w)* member(sigma(w),x)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),sigma(x))*. % 299.97/300.39 39626[0:Res:4769.2,98.0] || member(u,rotate_right(v)) member(v,w)* member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)* disjoint(x,sigma(w))* -> . % 299.97/300.39 39760[0:SSi:39733.0,371.0,371.0] || member(u,rotate_right(v)) disjoint(intersection(complement(w),complement(x)),v) -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),union(w,x))*. % 299.97/300.39 40253[0:Res:46.1,5068.1] || member(u,converse(ordered_pair(f10(v,w),f11(v,w))))* member(v,rotate_right(w)) equal(x,v)* -> member(ordered_pair(second(u),first(u)),second(x))*. % 299.97/300.39 40227[0:Res:960.2,5068.1] || member(u,infinity) subset(infinity,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> member(successor(u),second(x))*. % 299.97/300.39 40205[0:Res:955.2,5068.1] || subset(u,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> subset(u,y) member(f17(u,y),second(x))*. % 299.97/300.39 40202[0:Res:961.2,5068.1] || subset(u,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> disjoint(y,u) member(f23(y,u),second(x))*. % 299.97/300.39 40200[0:Res:954.2,5068.1] || subset(u,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> disjoint(u,y) member(f23(u,y),second(x))*. % 299.97/300.39 40433[0:Res:46.1,5070.1] || member(u,converse(ordered_pair(f13(v,w),f14(v,w))))* member(v,flip_range_of(w)) equal(x,v)* -> member(ordered_pair(second(u),first(u)),second(x))*. % 299.97/300.39 40407[0:Res:960.2,5070.1] || member(u,infinity) subset(infinity,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> member(successor(u),second(x))*. % 299.97/300.39 40385[0:Res:955.2,5070.1] || subset(u,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> subset(u,y) member(f17(u,y),second(x))*. % 299.97/300.39 40382[0:Res:961.2,5070.1] || subset(u,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> disjoint(y,u) member(f23(y,u),second(x))*. % 299.97/300.39 40380[0:Res:954.2,5070.1] || subset(u,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> disjoint(u,y) member(f23(u,y),second(x))*. % 299.97/300.39 40722[0:Res:1468.2,4238.0] || member(u,image(v,w)) member(f22(u,v,w),converse(compose(x,y)))* equal(z,ordered_pair(u,first(f22(u,v,w))))* -> ordered_pair_predicate(z)*. % 299.97/300.39 40709[0:Res:1468.2,68.0] || member(u,image(v,w)) member(f22(u,v,w),converse(x))* member(x,y)* -> member(ordered_pair(u,first(f22(u,v,w))),sigma(y))*. % 299.97/300.39 40868[0:Res:1464.2,4238.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(compose(x,y)))* equal(z,ordered_pair(second(f28(u,v,w)),w))* -> ordered_pair_predicate(z)*. % 299.97/300.39 40855[0:Res:1464.2,68.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(x))* member(x,y)* -> member(ordered_pair(second(f28(u,v,w)),w),sigma(y))*. % 299.97/300.39 41002[0:SSi:40984.0,371.0] || member(u,image(v,w)) -> member(ordered_pair(u,first(f22(u,v,w))),union(x,y))* member(f22(u,v,w),converse(intersection(complement(x),complement(y)))). % 299.97/300.39 41099[0:SSi:41081.0,371.0] || member(u,apply(v,w)) -> member(ordered_pair(second(f28(u,v,w)),w),union(x,y))* member(f28(u,v,w),converse(intersection(complement(x),complement(y)))). % 299.97/300.39 41208[0:Res:4286.1,68.0] || member(u,compose(v,intersection(w,x))) member(x,y) -> member(ordered_pair(f31(u,v,intersection(w,x)),f30(u,v,intersection(w,x))),sigma(y))*. % 299.97/300.39 41207[0:Res:4286.1,98.0] || member(u,compose(v,intersection(w,x))) member(ordered_pair(f31(u,v,intersection(w,x)),f30(u,v,intersection(w,x))),y)* disjoint(y,x) -> . % 299.97/300.39 41447[0:Res:4285.1,68.0] || member(u,compose(v,intersection(w,x))) member(w,y) -> member(ordered_pair(f31(u,v,intersection(w,x)),f30(u,v,intersection(w,x))),sigma(y))*. % 299.97/300.39 41446[0:Res:4285.1,98.0] || member(u,compose(v,intersection(w,x))) member(ordered_pair(f31(u,v,intersection(w,x)),f30(u,v,intersection(w,x))),y)* disjoint(y,w) -> . % 299.97/300.39 41585[0:Res:4361.1,68.0] || member(u,compose(intersection(v,w),x)) member(w,y) -> member(ordered_pair(f29(u,intersection(v,w),x),f31(u,intersection(v,w),x)),sigma(y))*. % 299.97/300.39 41584[0:Res:4361.1,98.0] || member(u,compose(intersection(v,w),x)) member(ordered_pair(f29(u,intersection(v,w),x),f31(u,intersection(v,w),x)),y)* disjoint(y,w) -> . % 299.97/300.39 41707[0:Res:4360.1,68.0] || member(u,compose(intersection(v,w),x)) member(v,y) -> member(ordered_pair(f29(u,intersection(v,w),x),f31(u,intersection(v,w),x)),sigma(y))*. % 299.97/300.39 41706[0:Res:4360.1,98.0] || member(u,compose(intersection(v,w),x)) member(ordered_pair(f29(u,intersection(v,w),x),f31(u,intersection(v,w),x)),y)* disjoint(y,v) -> . % 299.97/300.39 42095[3:Rew:108.1,42006.3] || member(u,range_of(converse(second(v)))) member(v,w) equal(first(v),x) -> member(ordered_pair(u,first(f27(u,converse(second(v))))),apply(w,x))*. % 299.97/300.39 42096[3:Rew:39.1,42002.3] || member(u,domain_of(converse(second(v)))) member(v,w) equal(first(v),x) -> member(ordered_pair(second(f8(u,converse(second(v)))),u),apply(w,x))*. % 299.97/300.39 42214[0:MRR:42193.0,1275.1] little_set(u) || equal(f28(v,w,x),non_ordered_pair(y,z))* member(v,apply(w,x))* equal(u,x)* -> member(u,domain_of(ordered_pair(y,z)))*. % 299.97/300.39 42290[0:MRR:42269.0,1340.1] little_set(u) || equal(f22(v,w,x),non_ordered_pair(y,z))* member(v,image(w,x))* equal(u,v)* -> member(u,range_of(ordered_pair(y,z)))*. % 299.97/300.39 42366[0:Res:4279.1,34.1] || member(u,compose(v,cross_product(w,complement(x)))) member(second(ordered_pair(f31(u,v,cross_product(w,complement(x))),f30(u,v,cross_product(w,complement(x))))),x)* -> . % 299.97/300.39 42351[6:Res:4279.1,10804.1] || member(u,compose(v,cross_product(w,rotate_right(x)))) equal(second(ordered_pair(f31(u,v,cross_product(w,rotate_right(x))),f30(u,v,cross_product(w,rotate_right(x))))),universal_set)** -> . % 299.97/300.39 42348[6:Res:4279.1,10803.1] || member(u,compose(v,cross_product(w,flip_range_of(x)))) equal(second(ordered_pair(f31(u,v,cross_product(w,flip_range_of(x))),f30(u,v,cross_product(w,flip_range_of(x))))),universal_set)** -> . % 299.97/300.39 42341[0:Res:4279.1,70.0] || member(u,compose(v,cross_product(w,x))) subset(x,y) -> member(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),y)*. % 299.97/300.39 42477[0:Res:4278.1,34.1] || member(u,compose(v,cross_product(complement(w),x))) member(first(ordered_pair(f31(u,v,cross_product(complement(w),x)),f30(u,v,cross_product(complement(w),x)))),w)* -> . % 299.97/300.39 42462[6:Res:4278.1,10804.1] || member(u,compose(v,cross_product(rotate_right(w),x))) equal(first(ordered_pair(f31(u,v,cross_product(rotate_right(w),x)),f30(u,v,cross_product(rotate_right(w),x)))),universal_set)** -> . % 299.97/300.39 42459[6:Res:4278.1,10803.1] || member(u,compose(v,cross_product(flip_range_of(w),x))) equal(first(ordered_pair(f31(u,v,cross_product(flip_range_of(w),x)),f30(u,v,cross_product(flip_range_of(w),x)))),universal_set)** -> . % 299.97/300.39 42452[0:Res:4278.1,70.0] || member(u,compose(v,cross_product(w,x))) subset(w,y) -> member(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),y)*. % 299.97/300.39 42624[0:Res:4354.1,34.1] || member(u,compose(cross_product(v,complement(w)),x)) member(second(ordered_pair(f29(u,cross_product(v,complement(w)),x),f31(u,cross_product(v,complement(w)),x))),w)* -> . % 299.97/300.39 42609[6:Res:4354.1,10804.1] || member(u,compose(cross_product(v,rotate_right(w)),x)) equal(second(ordered_pair(f29(u,cross_product(v,rotate_right(w)),x),f31(u,cross_product(v,rotate_right(w)),x))),universal_set)** -> . % 299.97/300.39 42606[6:Res:4354.1,10803.1] || member(u,compose(cross_product(v,flip_range_of(w)),x)) equal(second(ordered_pair(f29(u,cross_product(v,flip_range_of(w)),x),f31(u,cross_product(v,flip_range_of(w)),x))),universal_set)** -> . % 299.97/300.39 42599[0:Res:4354.1,70.0] || member(u,compose(cross_product(v,w),x)) subset(w,y) -> member(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),y)*. % 299.97/300.39 42766[0:Res:4353.1,34.1] || member(u,compose(cross_product(complement(v),w),x)) member(first(ordered_pair(f29(u,cross_product(complement(v),w),x),f31(u,cross_product(complement(v),w),x))),v)* -> . % 299.97/300.39 42751[6:Res:4353.1,10804.1] || member(u,compose(cross_product(rotate_right(v),w),x)) equal(first(ordered_pair(f29(u,cross_product(rotate_right(v),w),x),f31(u,cross_product(rotate_right(v),w),x))),universal_set)** -> . % 299.97/300.39 42748[6:Res:4353.1,10803.1] || member(u,compose(cross_product(flip_range_of(v),w),x)) equal(first(ordered_pair(f29(u,cross_product(flip_range_of(v),w),x),f31(u,cross_product(flip_range_of(v),w),x))),universal_set)** -> . % 299.97/300.39 42741[0:Res:4353.1,70.0] || member(u,compose(cross_product(v,w),x)) subset(v,y) -> member(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),y)*. % 299.97/300.39 43294[3:SSi:43280.0,18197.0,371.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),singleton_set(v))* member(ordered_pair(second(u),first(u)),w)* -> member(u,converse(intersection(w,ordered_pair(v,x))))*. % 299.97/300.39 43668[14:Res:42571.1,6212.0] || subset(universal_set,converse(second(u)))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(ordered_pair(universal_set,x)),first(ordered_pair(universal_set,x))),apply(v,w))*. % 299.97/300.39 43667[14:Res:42571.1,1442.0] || subset(universal_set,apply(non_ordered_pair(u,v),w)) -> equal(f28(ordered_pair(universal_set,x),non_ordered_pair(u,v),w),v)** equal(f28(ordered_pair(universal_set,x),non_ordered_pair(u,v),w),u)**. % 299.97/300.39 43641[14:Res:42571.1,1443.0] || subset(universal_set,image(u,non_ordered_pair(v,w))) -> equal(f22(ordered_pair(universal_set,x),u,non_ordered_pair(v,w)),w)** equal(f22(ordered_pair(universal_set,x),u,non_ordered_pair(v,w)),v)**. % 299.97/300.39 43807[3:SpR:587.0,6214.3] || member(u,image(v,second(w))) member(w,x) equal(first(w),singleton_set(singleton_set(y))) -> member(f22(u,v,second(w)),apply_to_two_arguments(x,y,y))*. % 299.97/300.39 43806[3:SpR:122.0,6214.3] || member(u,image(v,second(w))) member(w,x) equal(first(w),ordered_pair(y,z)) -> member(f22(u,v,second(w)),apply_to_two_arguments(x,y,z))*. % 299.97/300.39 43867[3:SpR:587.0,6215.3] || member(u,apply(second(v),w)) member(v,x) equal(first(v),singleton_set(singleton_set(y))) -> member(f28(u,second(v),w),apply_to_two_arguments(x,y,y))*. % 299.97/300.39 43866[3:SpR:122.0,6215.3] || member(u,apply(second(v),w)) member(v,x) equal(first(v),ordered_pair(y,z)) -> member(f28(u,second(v),w),apply_to_two_arguments(x,y,z))*. % 299.97/300.39 44324[6:Res:4635.1,10857.1] || member(u,flip_range_of(intersection(v,infinity))) equal(successor(ordered_pair(f12(u,intersection(v,infinity)),ordered_pair(f14(u,intersection(v,infinity)),f13(u,intersection(v,infinity))))),universal_set)** -> . % 299.97/300.39 44579[6:Res:4634.1,10857.1] || member(u,flip_range_of(intersection(infinity,v))) equal(successor(ordered_pair(f12(u,intersection(infinity,v)),ordered_pair(f14(u,intersection(infinity,v)),f13(u,intersection(infinity,v))))),universal_set)** -> . % 299.97/300.39 45098[6:Res:4783.1,10857.1] || member(u,rotate_right(intersection(v,infinity))) equal(successor(ordered_pair(f10(u,intersection(v,infinity)),ordered_pair(f11(u,intersection(v,infinity)),f9(u,intersection(v,infinity))))),universal_set)** -> . % 299.97/300.39 46225[6:Res:4782.1,10857.1] || member(u,rotate_right(intersection(infinity,v))) equal(successor(ordered_pair(f10(u,intersection(infinity,v)),ordered_pair(f11(u,intersection(infinity,v)),f9(u,intersection(infinity,v))))),universal_set)** -> . % 299.97/300.39 47213[7:Res:26333.1,1558.0] || subset(universal_set,image(non_ordered_pair(u,v),w)) -> equal(first(f22(sigma(infinity),non_ordered_pair(u,v),w)),v)** equal(first(f22(sigma(infinity),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 47389[6:Res:3837.1,10857.1] || equal(successor(f1(non_ordered_pair(u,v),infinity)),universal_set)** -> equal(non_ordered_pair(u,v),infinity) equal(f1(non_ordered_pair(u,v),infinity),v) equal(f1(non_ordered_pair(u,v),infinity),u). % 299.97/300.39 47834[6:Res:3819.1,10857.1] || equal(successor(f1(infinity,non_ordered_pair(u,v))),universal_set)** -> equal(non_ordered_pair(u,v),infinity) equal(f1(infinity,non_ordered_pair(u,v)),v) equal(f1(infinity,non_ordered_pair(u,v)),u). % 299.97/300.39 59740[16:Rew:375.0,59739.1] || member(ordered_pair(second(singleton_set(singleton_set(a))),first(singleton_set(singleton_set(a)))),sigma(u)) disjoint(universal_set,converse(f16(ordered_pair(second(singleton_set(singleton_set(a))),first(singleton_set(singleton_set(a)))),u)))* -> . % 299.97/300.39 59743[16:Rew:375.0,59742.1] || member(ordered_pair(second(singleton_set(singleton_set(a))),first(singleton_set(singleton_set(a)))),first(u)) disjoint(universal_set,converse(f4(ordered_pair(second(singleton_set(singleton_set(a))),first(singleton_set(singleton_set(a)))),u)))* -> . % 299.97/300.39 59746[16:Rew:375.0,59745.1] || member(ordered_pair(second(singleton_set(singleton_set(a))),first(singleton_set(singleton_set(a)))),second(u)) disjoint(universal_set,converse(f7(ordered_pair(second(singleton_set(singleton_set(a))),first(singleton_set(singleton_set(a)))),u)))* -> . % 299.97/300.39 55893[16:Rew:54986.0,48864.4] little_set(u) || subset(f25,second(v))* member(v,w)* equal(first(v),x)* -> equal(u,a) member(ordered_pair(u,f26(u)),apply(w,x))*. % 299.97/300.39 55894[16:Rew:54986.0,48861.3] little_set(u) || subset(f25,converse(v))* subset(v,w)* -> equal(u,a) member(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),w)*. % 299.97/300.39 55895[16:Rew:54986.0,48837.4] little_set(u) || member(ordered_pair(u,f26(u)),cross_product(v,universal_set))* member(ordered_pair(u,f26(u)),w)* disjoint(restrict(w,v),f25)* -> equal(u,a). % 299.97/300.39 55896[16:Rew:54986.0,48835.4] little_set(u) || member(second(ordered_pair(u,f26(u))),v)* member(first(ordered_pair(u,f26(u))),w)* disjoint(cross_product(w,v),f25)* -> equal(u,a). % 299.97/300.39 55897[16:Rew:54986.0,48779.4] little_set(u) || subset(f25,f4(v,w))* member(v,first(w)) equal(x,w)* -> equal(u,a) member(ordered_pair(u,f26(u)),first(x))*. % 299.97/300.39 55898[16:Rew:54986.0,48776.4] little_set(u) || subset(f25,f6(v,w))* member(v,second(w)) equal(x,w)* -> equal(u,a) member(ordered_pair(u,f26(u)),first(x))*. % 299.97/300.39 55899[16:Rew:54986.0,48773.4] little_set(u) || subset(f25,f9(v,w))* member(v,rotate_right(w)) equal(x,v)* -> equal(u,a) member(ordered_pair(u,f26(u)),first(x))*. % 299.97/300.39 55900[16:Rew:54986.0,48770.4] little_set(u) || subset(f25,f12(v,w))* member(v,flip_range_of(w)) equal(x,v)* -> equal(u,a) member(ordered_pair(u,f26(u)),first(x))*. % 299.97/300.39 55901[16:Rew:54986.0,48767.4] little_set(u) || subset(f25,f5(v,w))* member(v,first(w)) equal(x,w)* -> equal(u,a) member(ordered_pair(u,f26(u)),second(x))*. % 299.97/300.39 55902[16:Rew:54986.0,48764.4] little_set(u) || subset(f25,f7(v,w))* member(v,second(w)) equal(x,w)* -> equal(u,a) member(ordered_pair(u,f26(u)),second(x))*. % 299.97/300.39 55903[16:Rew:54986.0,48761.3] little_set(first(f27(u,v))) || member(u,range_of(v)) member(f27(u,v),converse(f25))* -> equal(u,a) equal(first(f27(u,v)),f26(u)). % 299.97/300.39 55904[16:Rew:54986.0,48760.1] || subset(u,converse(non_ordered_pair(v,w)))* -> equal(u,a) equal(ordered_pair(second(f24(u)),first(f24(u))),w)* equal(ordered_pair(second(f24(u)),first(f24(u))),v)*. % 299.97/300.39 55905[16:Rew:54986.0,48744.4] little_set(u) || subset(u,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> equal(u,a) member(f26(u),first(y))*. % 299.97/300.39 55906[16:Rew:54986.0,48741.4] little_set(u) || subset(u,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> equal(u,a) member(f26(u),second(y))*. % 299.97/300.39 59747[16:Rew:54986.0,56655.2] || subset(universal_set,image(non_ordered_pair(u,v),w)) -> equal(first(f22(singleton_set(a),non_ordered_pair(u,v),w)),v)** equal(first(f22(singleton_set(a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 59748[16:Rew:54986.0,57001.2] || subset(universal_set,image(non_ordered_pair(u,v),w)) -> equal(first(f22(powerset(a),non_ordered_pair(u,v),w)),v)** equal(first(f22(powerset(a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 59751[16:Rew:54986.0,57150.2] ordered_pair_predicate(successor(estin)) || member(ordered_pair(second(successor(a)),first(successor(a))),sigma(u)) -> member(a,sigma(converse(f16(ordered_pair(second(successor(a)),first(successor(a))),u))))*. % 299.97/300.39 59752[16:Rew:54986.0,57151.2] ordered_pair_predicate(successor(estin)) || member(ordered_pair(second(successor(a)),first(successor(a))),first(u)) -> member(a,sigma(converse(f4(ordered_pair(second(successor(a)),first(successor(a))),u))))*. % 299.97/300.39 59753[16:Rew:54986.0,57152.2] ordered_pair_predicate(successor(estin)) || member(ordered_pair(second(successor(a)),first(successor(a))),second(u)) -> member(a,sigma(converse(f7(ordered_pair(second(successor(a)),first(successor(a))),u))))*. % 299.97/300.39 57656[16:Rew:54986.0,49080.0] || -> equal(intersection(u,v),a) equal(w,f24(intersection(u,v))) member(f1(w,f24(intersection(u,v))),w)* member(f1(w,f24(intersection(u,v))),sigma(v))*. % 299.97/300.39 57657[16:Rew:54986.0,49079.0] || -> equal(intersection(u,v),a) equal(w,f24(intersection(u,v))) member(f1(w,f24(intersection(u,v))),w)* member(f1(w,f24(intersection(u,v))),sigma(u))*. % 299.97/300.39 57658[16:Rew:54986.0,49078.0] || -> equal(intersection(u,v),a) equal(f24(intersection(u,v)),w) member(f1(f24(intersection(u,v)),w),w)* member(f1(f24(intersection(u,v)),w),sigma(v))*. % 299.97/300.39 57659[16:Rew:54986.0,49077.0] || -> equal(intersection(u,v),a) equal(f24(intersection(u,v)),w) member(f1(f24(intersection(u,v)),w),w)* member(f1(f24(intersection(u,v)),w),sigma(u))*. % 299.97/300.39 57818[16:Rew:54986.0,50136.4] little_set(u) || member(v,w) equal(first(v),x) equal(u,second(v))* -> equal(second(v),a) member(f26(second(v)),apply(w,x))*. % 299.97/300.39 57862[16:Rew:54986.0,49754.5] little_set(u) little_set(v) single_valued_set(sigma(w)) || member(f25,w) member(ordered_pair(v,u),sigma(w))* -> equal(v,a) equal(u,f26(v)). % 299.97/300.39 58500[16:Rew:54986.0,51015.1] little_set(converse(cross_product(u,v))) || -> equal(converse(cross_product(u,v)),a) member(first(ordered_pair(second(f26(converse(cross_product(u,v)))),first(f26(converse(cross_product(u,v)))))),u)*. % 299.97/300.39 58501[16:Rew:54986.0,51011.1] little_set(converse(cross_product(u,v))) || -> equal(converse(cross_product(u,v)),a) member(second(ordered_pair(second(f26(converse(cross_product(u,v)))),first(f26(converse(cross_product(u,v)))))),v)*. % 299.97/300.39 58518[16:Rew:54986.0,51299.2] || member(u,range_of(v)) member(f27(u,v),converse(w))* -> equal(ordered_pair(u,first(f27(u,v))),a) ordered_pair_predicate(f26(ordered_pair(u,first(f27(u,v)))))*. % 299.97/300.39 58520[16:Rew:54986.0,51302.2] || member(u,domain_of(v)) member(f8(u,v),converse(w))* -> equal(ordered_pair(second(f8(u,v)),u),a) ordered_pair_predicate(f26(ordered_pair(second(f8(u,v)),u)))*. % 299.97/300.39 58572[16:Rew:54986.0,51429.1] || member(u,compose(v,w)) -> equal(ordered_pair(f31(u,v,w),f30(u,v,w)),a) ordered_pair_predicate(f26(ordered_pair(f31(u,v,w),f30(u,v,w))))*. % 299.97/300.39 58574[16:Rew:54986.0,51432.1] || member(u,compose(v,w)) -> equal(ordered_pair(f29(u,v,w),f31(u,v,w)),a) ordered_pair_predicate(f26(ordered_pair(f29(u,v,w),f31(u,v,w))))*. % 299.97/300.39 58640[16:Rew:54986.0,51113.1] || member(u,v) -> equal(cross_product(converse(u),w),a) member(ordered_pair(second(first(f24(cross_product(converse(u),w)))),first(first(f24(cross_product(converse(u),w))))),sigma(v))*. % 299.97/300.39 58642[16:Rew:54986.0,51115.1] || member(u,v) -> equal(cross_product(w,converse(u)),a) member(ordered_pair(second(second(f24(cross_product(w,converse(u))))),first(second(f24(cross_product(w,converse(u)))))),sigma(v))*. % 299.97/300.39 58650[16:Rew:54986.0,51020.0] || -> equal(intersection(u,converse(cross_product(v,w))),a) member(first(ordered_pair(second(f24(intersection(u,converse(cross_product(v,w))))),first(f24(intersection(u,converse(cross_product(v,w))))))),v)*. % 299.97/300.39 58651[16:Rew:54986.0,51019.0] || -> equal(intersection(u,converse(cross_product(v,w))),a) member(second(ordered_pair(second(f24(intersection(u,converse(cross_product(v,w))))),first(f24(intersection(u,converse(cross_product(v,w))))))),w)*. % 299.97/300.39 58652[16:Rew:54986.0,51022.0] || -> equal(intersection(converse(cross_product(u,v)),w),a) member(first(ordered_pair(second(f24(intersection(converse(cross_product(u,v)),w))),first(f24(intersection(converse(cross_product(u,v)),w))))),u)*. % 299.97/300.39 58653[16:Rew:54986.0,51021.0] || -> equal(intersection(converse(cross_product(u,v)),w),a) member(second(ordered_pair(second(f24(intersection(converse(cross_product(u,v)),w))),first(f24(intersection(converse(cross_product(u,v)),w))))),v)*. % 299.97/300.39 58654[16:Rew:54986.0,51107.0] || -> equal(cross_product(ordered_pair(u,v),w),a) equal(first(f24(cross_product(ordered_pair(u,v),w))),non_ordered_pair(u,v))** equal(first(f24(cross_product(ordered_pair(u,v),w))),singleton_set(u)). % 299.97/300.39 58655[16:Rew:54986.0,51108.0] || -> equal(cross_product(u,ordered_pair(v,w)),a) equal(second(f24(cross_product(u,ordered_pair(v,w)))),non_ordered_pair(v,w))** equal(second(f24(cross_product(u,ordered_pair(v,w)))),singleton_set(v)). % 299.97/300.39 58659[16:Rew:54986.0,51357.0] || -> equal(range_of(non_ordered_pair(u,v)),a) equal(f27(f24(range_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),v)** equal(f27(f24(range_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),u)**. % 299.97/300.39 58662[16:Rew:54986.0,51370.0] || -> equal(sigma(non_ordered_pair(u,v)),a) equal(f16(f24(sigma(non_ordered_pair(u,v))),non_ordered_pair(u,v)),v)** equal(f16(f24(sigma(non_ordered_pair(u,v))),non_ordered_pair(u,v)),u)**. % 299.97/300.39 58663[16:Rew:54986.0,51367.0] || -> equal(sigma(non_ordered_pair(u,v)),a) equal(f16(f26(sigma(non_ordered_pair(u,v))),non_ordered_pair(u,v)),v)** equal(f16(f26(sigma(non_ordered_pair(u,v))),non_ordered_pair(u,v)),u)**. % 299.97/300.39 58667[16:Rew:54986.0,51378.0] || -> equal(domain_of(non_ordered_pair(u,v)),a) equal(f8(f24(domain_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),v)** equal(f8(f24(domain_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),u)**. % 299.97/300.39 58668[16:Rew:54986.0,51389.2] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,f29(u,v,w)),a) member(f24(intersection(y,f29(u,v,w))),first(x))*. % 299.97/300.39 58669[16:Rew:54986.0,51390.2] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(f29(u,v,w),y),a) member(f24(intersection(f29(u,v,w),y)),first(x))*. % 299.97/300.39 58670[16:Rew:54986.0,51409.2] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,f30(u,v,w)),a) member(f24(intersection(y,f30(u,v,w))),second(x))*. % 299.97/300.39 58671[16:Rew:54986.0,51410.2] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(f30(u,v,w),y),a) member(f24(intersection(f30(u,v,w),y)),second(x))*. % 299.97/300.39 58672[16:Rew:54986.0,51414.2] ordered_pair_predicate(powerset(u)) || member(ordered_pair(second(powerset(u)),first(powerset(u))),sigma(v)) -> member(a,sigma(converse(f16(ordered_pair(second(powerset(u)),first(powerset(u))),v))))*. % 299.97/300.39 58673[16:Rew:54986.0,51417.2] ordered_pair_predicate(powerset(u)) || member(ordered_pair(second(powerset(u)),first(powerset(u))),first(v)) -> member(a,sigma(converse(f4(ordered_pair(second(powerset(u)),first(powerset(u))),v))))*. % 299.97/300.39 58674[16:Rew:54986.0,51420.2] ordered_pair_predicate(powerset(u)) || member(ordered_pair(second(powerset(u)),first(powerset(u))),second(v)) -> member(a,sigma(converse(f7(ordered_pair(second(powerset(u)),first(powerset(u))),v))))*. % 299.97/300.39 58675[16:Rew:54986.0,51473.1] || member(ordered_pair(second(ordered_pair(universal_set,u)),first(ordered_pair(universal_set,u))),second(v)) -> member(a,sigma(converse(f7(ordered_pair(second(ordered_pair(universal_set,u)),first(ordered_pair(universal_set,u))),v))))*. % 299.97/300.39 58676[16:Rew:54986.0,51474.1] || member(ordered_pair(second(ordered_pair(universal_set,u)),first(ordered_pair(universal_set,u))),first(v)) -> member(a,sigma(converse(f4(ordered_pair(second(ordered_pair(universal_set,u)),first(ordered_pair(universal_set,u))),v))))*. % 299.97/300.39 58677[16:Rew:54986.0,51475.1] || member(ordered_pair(second(ordered_pair(universal_set,u)),first(ordered_pair(universal_set,u))),sigma(v)) -> member(a,sigma(converse(f16(ordered_pair(second(ordered_pair(universal_set,u)),first(ordered_pair(universal_set,u))),v))))*. % 299.97/300.39 58678[16:Rew:54986.0,51525.3] little_set(u) || member(v,apply(w,x)) equal(u,x) -> equal(singleton_set(f28(v,w,x)),a) member(u,domain_of(singleton_set(f28(v,w,x))))*. % 299.97/300.39 58679[16:Rew:54986.0,51527.3] little_set(u) || member(v,image(w,x)) equal(u,v) -> equal(singleton_set(f22(v,w,x)),a) member(u,range_of(singleton_set(f22(v,w,x))))*. % 299.97/300.39 58680[16:Rew:54986.0,51649.2] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* equal(first(f1(u,cross_product(v,w))),a) ordered_pair_predicate(f26(first(f1(u,cross_product(v,w)))))*. % 299.97/300.39 58681[16:Rew:54986.0,51650.1] || member(u,image(cross_product(v,w),x)) -> equal(first(first(f22(u,cross_product(v,w),x))),a) ordered_pair_predicate(f26(first(first(f22(u,cross_product(v,w),x)))))*. % 299.97/300.39 58682[16:Rew:54986.0,51651.2] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* equal(first(f1(cross_product(u,v),w)),a) ordered_pair_predicate(f26(first(f1(cross_product(u,v),w))))*. % 299.97/300.39 58683[16:Rew:54986.0,51652.1] || -> single_valued_set(cross_product(u,v)) equal(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),a) ordered_pair_predicate(f26(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v))))))*. % 299.97/300.39 58684[16:Rew:54986.0,51653.1] || -> single_valued_set(cross_product(u,v)) equal(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),a) ordered_pair_predicate(f26(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v))))))*. % 299.97/300.39 58685[16:Rew:54986.0,51654.2] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* equal(second(f1(u,cross_product(v,w))),a) ordered_pair_predicate(f26(second(f1(u,cross_product(v,w)))))*. % 299.97/300.39 58686[16:Rew:54986.0,51655.1] || member(u,image(cross_product(v,w),x)) -> equal(second(first(f22(u,cross_product(v,w),x))),a) ordered_pair_predicate(f26(second(first(f22(u,cross_product(v,w),x)))))*. % 299.97/300.39 58687[16:Rew:54986.0,51656.2] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* equal(second(f1(cross_product(u,v),w)),a) ordered_pair_predicate(f26(second(f1(cross_product(u,v),w))))*. % 299.97/300.39 58688[16:Rew:54986.0,51657.1] || -> single_valued_set(cross_product(u,v)) equal(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),a) ordered_pair_predicate(f26(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v))))))*. % 299.97/300.39 58689[16:Rew:54986.0,51658.1] || -> single_valued_set(cross_product(u,v)) equal(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),a) ordered_pair_predicate(f26(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v))))))*. % 299.97/300.39 63954[6:EmS:10806.0,5259.4] || equal(f33(u,v,w,x,y),universal_set)** maps(u,v,x) closed(v,w) closed(x,y) -> homomorphism(u,v,w,x,y). % 299.97/300.39 63966[6:EmS:10806.0,5304.4] || equal(f32(u,v,w,x,y),universal_set)** maps(u,v,x) closed(v,w) closed(x,y) -> homomorphism(u,v,w,x,y). % 299.97/300.39 64911[16:Res:58833.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),a) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,singleton_set(a)))). % 299.97/300.39 65762[0:SoR:5221.3,90.1] little_set(u) little_set(v) little_set(w) function(complement(x)) || member(ordered_pair(w,v),complement(x))* -> member(ordered_pair(w,u),x)* equal(v,u)*. % 299.97/300.39 66363[0:SSi:66288.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,u),x)* -> member(ordered_pair(u,v),y)* member(ordered_pair(w,v),compose(x,complement(y)))*. % 299.97/300.39 66371[16:MRR:66370.1,55067.2] little_set(u) little_set(v) || member(f25,w) member(ordered_pair(v,u),x) -> equal(u,a) member(ordered_pair(v,f26(u)),compose(x,sigma(w)))*. % 299.97/300.39 66385[0:MRR:66312.0,66312.1,133.1,132.1] little_set(u) || member(v,compose(w,x)) member(ordered_pair(u,f31(v,w,x)),y) -> member(ordered_pair(u,f30(v,w,x)),compose(y,x))*. % 299.97/300.39 66386[0:MRR:66302.0,66302.1,131.1,133.1] little_set(u) || member(v,compose(w,x)) member(ordered_pair(u,f29(v,w,x)),y) -> member(ordered_pair(u,f31(v,w,x)),compose(y,w))*. % 299.97/300.39 67532[16:Res:4110.2,58846.0] ordered_pair_predicate(successor(a)) || member(ordered_pair(second(successor(a)),first(successor(a))),second(u)) -> member(a,sigma(converse(f7(ordered_pair(second(successor(a)),first(successor(a))),u))))*. % 299.97/300.39 67531[16:Res:4111.2,58846.0] ordered_pair_predicate(successor(a)) || member(ordered_pair(second(successor(a)),first(successor(a))),first(u)) -> member(a,sigma(converse(f4(ordered_pair(second(successor(a)),first(successor(a))),u))))*. % 299.97/300.39 67530[16:Res:4112.2,58846.0] ordered_pair_predicate(successor(a)) || member(ordered_pair(second(successor(a)),first(successor(a))),sigma(u)) -> member(a,sigma(converse(f16(ordered_pair(second(successor(a)),first(successor(a))),u))))*. % 299.97/300.39 67892[0:MRR:67891.0,133.1] single_valued_set(sigma(u)) || member(v,u)* member(w,compose(v,x))* member(w,sigma(u))* -> equal(f31(w,v,x),f30(w,v,x)). % 299.97/300.39 67899[0:MRR:67898.0,133.1] single_valued_set(u) || member(v,compose(intersection(w,u),x))* member(v,u) -> equal(f31(v,intersection(w,u),x),f30(v,intersection(w,u),x)). % 299.97/300.39 67901[0:MRR:67900.0,133.1] single_valued_set(u) || member(v,compose(intersection(u,w),x))* member(v,u) -> equal(f31(v,intersection(u,w),x),f30(v,intersection(u,w),x)). % 299.97/300.39 69114[0:Res:5256.5,1238.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z)* disjoint(sigma(z),universal_set)* -> homomorphism(y,w,x,u,v)*. % 299.97/300.39 69185[0:Obv:69171.8] || member(u,v) closed(w,x) closed(u,y) maps(z,u,w) disjoint(sigma(v),u)* -> homomorphism(z,u,y,w,x)*. % 299.97/300.39 69723[3:Res:6221.3,17668.0] || member(u,rotate_right(second(v))) member(v,w)* equal(ordered_pair(f10(u,second(v)),ordered_pair(f11(u,second(v)),f9(u,second(v)))),first(v))** -> . % 299.97/300.39 69738[3:Obv:69727.1] little_set(u) || member(v,w)* equal(first(v),x)* member(y,rotate_right(second(v)))* equal(u,y)* -> member(u,rotate_right(apply(w,x)))*. % 299.97/300.39 70019[3:Res:6222.3,17668.0] || member(u,flip_range_of(second(v))) member(v,w)* equal(ordered_pair(f12(u,second(v)),ordered_pair(f14(u,second(v)),f13(u,second(v)))),first(v))** -> . % 299.97/300.39 70035[3:Obv:70024.1] little_set(u) || member(v,w)* equal(first(v),x)* member(y,flip_range_of(second(v)))* equal(u,y)* -> member(u,flip_range_of(apply(w,x)))*. % 299.97/300.39 70351[0:MRR:70350.0,70350.1,18.1,19.1] little_set(u) little_set(v) || member(ordered_pair(u,w),x)* member(y,first(w))* equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(flip_range_of(x)))*. % 299.97/300.39 70422[0:MRR:70421.0,70421.1,23.1,24.1] little_set(u) little_set(v) || member(ordered_pair(u,w),x)* member(y,second(w))* equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(flip_range_of(x)))*. % 299.97/300.39 71001[0:SSi:70976.0,371.0] little_set(u) little_set(v) || member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(v,compose(y,universal_set))*. % 299.97/300.39 71072[0:SSi:71047.0,371.0] little_set(u) little_set(v) || member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(v,compose(y,universal_set))*. % 299.97/300.39 73236[0:MRR:73235.0,48.1] little_set(u) little_set(v) || member(ordered_pair(u,w),x)* member(w,rotate_right(y))* equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(flip_range_of(x)))*. % 299.97/300.39 73429[0:MRR:73428.0,54.1] little_set(u) little_set(v) || member(ordered_pair(u,w),x)* member(w,flip_range_of(y))* equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(flip_range_of(x)))*. % 299.97/300.39 74065[0:SSi:74037.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(v,compose(y,universal_set))*. % 299.97/300.39 74175[0:SSi:74147.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(v,compose(y,universal_set))*. % 299.97/300.39 78737[16:Res:3817.2,56189.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* equal(first(f1(u,cross_product(v,w))),a) little_set(f26(first(f1(u,cross_product(v,w)))))*. % 299.97/300.39 78736[16:Res:1549.1,56189.0] || member(u,image(cross_product(v,w),x)) -> equal(first(first(f22(u,cross_product(v,w),x))),a) little_set(f26(first(first(f22(u,cross_product(v,w),x)))))*. % 299.97/300.39 78727[16:Res:3835.2,56189.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* equal(first(f1(cross_product(u,v),w)),a) little_set(f26(first(f1(cross_product(u,v),w))))*. % 299.97/300.39 78726[16:Res:554.1,56189.0] || -> single_valued_set(cross_product(u,v)) equal(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),a) little_set(f26(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v))))))*. % 299.97/300.39 78725[16:Res:553.1,56189.0] || -> single_valued_set(cross_product(u,v)) equal(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),a) little_set(f26(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v))))))*. % 299.97/300.39 78708[16:Res:1007.2,56189.0] || member(u,domain_of(v)) member(f8(u,v),converse(w))* -> equal(ordered_pair(second(f8(u,v)),u),a) little_set(f26(ordered_pair(second(f8(u,v)),u)))*. % 299.97/300.39 78707[16:Res:1008.2,56189.0] || member(u,range_of(v)) member(f27(u,v),converse(w))* -> equal(ordered_pair(u,first(f27(u,v))),a) little_set(f26(ordered_pair(u,first(f27(u,v)))))*. % 299.97/300.39 78705[16:Res:136.1,56189.0] || member(u,compose(v,w)) -> equal(ordered_pair(f31(u,v,w),f30(u,v,w)),a) little_set(f26(ordered_pair(f31(u,v,w),f30(u,v,w))))*. % 299.97/300.39 78695[16:Res:135.1,56189.0] || member(u,compose(v,w)) -> equal(ordered_pair(f29(u,v,w),f31(u,v,w)),a) little_set(f26(ordered_pair(f29(u,v,w),f31(u,v,w))))*. % 299.97/300.39 78672[16:Res:3818.2,56189.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* equal(second(f1(u,cross_product(v,w))),a) little_set(f26(second(f1(u,cross_product(v,w)))))*. % 299.97/300.39 78671[16:Res:1550.1,56189.0] || member(u,image(cross_product(v,w),x)) -> equal(second(first(f22(u,cross_product(v,w),x))),a) little_set(f26(second(first(f22(u,cross_product(v,w),x)))))*. % 299.97/300.39 78658[16:Res:3836.2,56189.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* equal(second(f1(cross_product(u,v),w)),a) little_set(f26(second(f1(cross_product(u,v),w))))*. % 299.97/300.39 78657[16:Res:541.1,56189.0] || -> single_valued_set(cross_product(u,v)) equal(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),a) little_set(f26(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v))))))*. % 299.97/300.39 78656[16:Res:540.1,56189.0] || -> single_valued_set(cross_product(u,v)) equal(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),a) little_set(f26(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v))))))*. % 299.97/300.39 82821[16:Res:82637.1,6077.3] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),a)** member(ordered_pair(w,u),x)* -> member(ordered_pair(w,v),compose(x,set_b))*. % 299.97/300.39 82793[16:Res:82637.1,5232.3] little_set(u) single_valued_set(set_b) || equal(ordered_pair(f12(v,set_b),u),a)** member(v,flip_range_of(set_b)) -> equal(u,ordered_pair(f14(v,set_b),f13(v,set_b)))*. % 299.97/300.39 82792[16:Res:82637.1,5230.3] little_set(u) single_valued_set(set_b) || equal(ordered_pair(f10(v,set_b),u),a)** member(v,rotate_right(set_b)) -> equal(u,ordered_pair(f11(v,set_b),f9(v,set_b)))*. % 299.97/300.39 82791[16:Res:82637.1,5226.4] little_set(u) single_valued_set(set_b) || equal(ordered_pair(f6(v,w),u),a)** member(v,second(w)) member(w,set_b) -> equal(u,f7(v,w)). % 299.97/300.39 82790[16:Res:82637.1,5225.4] little_set(u) single_valued_set(set_b) || equal(ordered_pair(f4(v,w),u),a)** member(v,first(w)) member(w,set_b) -> equal(u,f5(v,w)). % 299.97/300.39 82974[3:Res:82638.1,6077.3] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),a)** member(ordered_pair(w,u),x)* -> member(ordered_pair(w,v),compose(x,set_a))*. % 299.97/300.39 82946[3:Res:82638.1,5232.3] little_set(u) single_valued_set(set_a) || equal(ordered_pair(f12(v,set_a),u),a)** member(v,flip_range_of(set_a)) -> equal(u,ordered_pair(f14(v,set_a),f13(v,set_a)))*. % 299.97/300.39 82945[3:Res:82638.1,5230.3] little_set(u) single_valued_set(set_a) || equal(ordered_pair(f10(v,set_a),u),a)** member(v,rotate_right(set_a)) -> equal(u,ordered_pair(f11(v,set_a),f9(v,set_a)))*. % 299.97/300.39 82944[3:Res:82638.1,5226.4] little_set(u) single_valued_set(set_a) || equal(ordered_pair(f6(v,w),u),a)** member(v,second(w)) member(w,set_a) -> equal(u,f7(v,w)). % 299.97/300.39 82943[3:Res:82638.1,5225.4] little_set(u) single_valued_set(set_a) || equal(ordered_pair(f4(v,w),u),a)** member(v,first(w)) member(w,set_a) -> equal(u,f5(v,w)). % 299.97/300.39 83129[16:Res:82641.1,6077.3] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),a)** member(ordered_pair(w,u),x)* -> member(ordered_pair(w,v),compose(x,infinity))*. % 299.97/300.39 83100[16:Res:82641.1,5232.3] little_set(u) single_valued_set(infinity) || equal(ordered_pair(f12(v,infinity),u),a)** member(v,flip_range_of(infinity)) -> equal(u,ordered_pair(f14(v,infinity),f13(v,infinity)))*. % 299.97/300.39 83099[16:Res:82641.1,5230.3] little_set(u) single_valued_set(infinity) || equal(ordered_pair(f10(v,infinity),u),a)** member(v,rotate_right(infinity)) -> equal(u,ordered_pair(f11(v,infinity),f9(v,infinity)))*. % 299.97/300.39 83098[16:Res:82641.1,5226.4] little_set(u) single_valued_set(infinity) || equal(ordered_pair(f6(v,w),u),a)** member(v,second(w)) member(w,infinity) -> equal(u,f7(v,w)). % 299.97/300.39 83097[16:Res:82641.1,5225.4] little_set(u) single_valued_set(infinity) || equal(ordered_pair(f4(v,w),u),a)** member(v,first(w)) member(w,infinity) -> equal(u,f5(v,w)). % 299.97/300.39 86914[16:Res:82653.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),powerset(a)) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,universal_set))). % 299.97/300.39 87100[16:Res:82654.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),singleton_set(a)) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,universal_set))). % 299.97/300.39 87287[7:Res:82656.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),sigma(infinity)) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,universal_set))). % 299.97/300.39 87629[16:Res:82665.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),a) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,sigma(infinity)))). % 299.97/300.39 87783[16:Res:82681.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),a) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,successor(a)))). % 299.97/300.39 87939[16:Rew:87905.1,87807.1] || equal(f1(u,intersection(v,successor(a))),a) member(a,v) member(f1(u,intersection(v,successor(a))),u)* -> equal(u,intersection(v,successor(a))). % 299.97/300.39 87943[16:Rew:87905.1,87653.1] || equal(f1(u,intersection(v,sigma(infinity))),a) member(a,v) member(f1(u,intersection(v,sigma(infinity))),u)* -> equal(u,intersection(v,sigma(infinity))). % 299.97/300.39 88167[3:Res:82671.1,4973.2] little_set(u) || equal(f22(v,w,x),infinity) member(v,image(w,x)) equal(u,v) -> member(u,range_of(singleton_set(f22(v,w,x))))*. % 299.97/300.39 88166[3:Res:82671.1,4927.2] little_set(u) || equal(f28(v,w,x),infinity) member(v,apply(w,x)) equal(u,x) -> member(u,domain_of(singleton_set(f28(v,w,x))))*. % 299.97/300.39 88447[16:Res:57853.0,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(complement(complement(f30(u,v,w))),a) member(f24(complement(complement(f30(u,v,w)))),second(x))*. % 299.97/300.39 88446[16:Res:57853.0,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(complement(complement(f29(u,v,w))),a) member(f24(complement(complement(f29(u,v,w)))),first(x))*. % 299.97/300.39 88409[16:Res:57853.0,1014.0] || -> equal(complement(complement(converse(cross_product(u,v)))),a) member(first(ordered_pair(second(f24(complement(complement(converse(cross_product(u,v)))))),first(f24(complement(complement(converse(cross_product(u,v)))))))),u)*. % 299.97/300.39 88408[16:Res:57853.0,1015.0] || -> equal(complement(complement(converse(cross_product(u,v)))),a) member(second(ordered_pair(second(f24(complement(complement(converse(cross_product(u,v)))))),first(f24(complement(complement(converse(cross_product(u,v)))))))),v)*. % 299.97/300.39 88383[16:Res:57853.0,3811.0] || -> equal(complement(complement(u)),a) equal(v,f24(complement(complement(u)))) member(f1(v,f24(complement(complement(u)))),v)* member(f1(v,f24(complement(complement(u)))),sigma(u))*. % 299.97/300.39 88382[16:Res:57853.0,3829.0] || -> equal(complement(complement(u)),a) equal(f24(complement(complement(u))),v) member(f1(f24(complement(complement(u))),v),v)* member(f1(f24(complement(complement(u))),v),sigma(u))*. % 299.97/300.39 89287[0:Res:3817.2,14370.1] || member(first(f1(u,cross_product(converse(complement(v)),w))),converse(v))* -> equal(u,cross_product(converse(complement(v)),w)) member(f1(u,cross_product(converse(complement(v)),w)),u)*. % 299.97/300.39 89277[0:Res:3835.2,14370.1] || member(first(f1(cross_product(converse(complement(u)),v),w)),converse(u))* -> equal(cross_product(converse(complement(u)),v),w) member(f1(cross_product(converse(complement(u)),v),w),w)*. % 299.97/300.39 89252[0:Res:52.1,14370.1] || member(u,rotate_right(converse(complement(v)))) member(ordered_pair(f10(u,converse(complement(v))),ordered_pair(f11(u,converse(complement(v))),f9(u,converse(complement(v))))),converse(v))* -> . % 299.97/300.39 89250[0:Res:58.1,14370.1] || member(u,flip_range_of(converse(complement(v)))) member(ordered_pair(f12(u,converse(complement(v))),ordered_pair(f14(u,converse(complement(v))),f13(u,converse(complement(v))))),converse(v))* -> . % 299.97/300.39 89244[0:Res:3836.1,14370.1] || member(f1(cross_product(u,v),converse(complement(w))),converse(w))* -> equal(cross_product(u,v),converse(complement(w))) member(second(f1(cross_product(u,v),converse(complement(w)))),v)*. % 299.97/300.39 89243[0:Res:3835.1,14370.1] || member(f1(cross_product(u,v),converse(complement(w))),converse(w))* -> equal(cross_product(u,v),converse(complement(w))) member(first(f1(cross_product(u,v),converse(complement(w)))),u)*. % 299.97/300.39 89225[0:Res:3818.2,14370.1] || member(second(f1(u,cross_product(v,converse(complement(w))))),converse(w))* -> equal(u,cross_product(v,converse(complement(w)))) member(f1(u,cross_product(v,converse(complement(w)))),u)*. % 299.97/300.39 89211[0:Res:3836.2,14370.1] || member(second(f1(cross_product(u,converse(complement(v))),w)),converse(v))* -> equal(cross_product(u,converse(complement(v))),w) member(f1(cross_product(u,converse(complement(v))),w),w)*. % 299.97/300.39 89163[0:Res:3818.1,14370.1] || member(f1(converse(complement(u)),cross_product(v,w)),converse(u))* -> equal(converse(complement(u)),cross_product(v,w)) member(second(f1(converse(complement(u)),cross_product(v,w))),w)*. % 299.97/300.39 89162[0:Res:3817.1,14370.1] || member(f1(converse(complement(u)),cross_product(v,w)),converse(u))* -> equal(converse(complement(u)),cross_product(v,w)) member(first(f1(converse(complement(u)),cross_product(v,w))),v)*. % 299.97/300.39 94243[16:Res:57719.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(restrict(f30(u,v,w),y),a) member(f24(restrict(f30(u,v,w),y)),second(x))*. % 299.97/300.39 94242[16:Res:57719.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(restrict(f29(u,v,w),y),a) member(f24(restrict(f29(u,v,w),y)),first(x))*. % 299.97/300.39 94206[16:Res:57719.1,1014.0] || -> equal(restrict(converse(cross_product(u,v)),w),a) member(first(ordered_pair(second(f24(restrict(converse(cross_product(u,v)),w))),first(f24(restrict(converse(cross_product(u,v)),w))))),u)*. % 299.97/300.39 94205[16:Res:57719.1,1015.0] || -> equal(restrict(converse(cross_product(u,v)),w),a) member(second(ordered_pair(second(f24(restrict(converse(cross_product(u,v)),w))),first(f24(restrict(converse(cross_product(u,v)),w))))),v)*. % 299.97/300.39 94178[16:Res:57719.1,3811.0] || -> equal(restrict(u,v),a) equal(w,f24(restrict(u,v))) member(f1(w,f24(restrict(u,v))),w)* member(f1(w,f24(restrict(u,v))),sigma(u))*. % 299.97/300.39 94177[16:Res:57719.1,3829.0] || -> equal(restrict(u,v),a) equal(f24(restrict(u,v)),w) member(f1(f24(restrict(u,v)),w),w)* member(f1(f24(restrict(u,v)),w),sigma(u))*. % 299.97/300.39 96520[16:Res:5301.5,92502.1] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z)* equal(sigma(z),a) -> homomorphism(y,w,x,u,v)*. % 299.97/300.39 97766[0:Res:1464.2,2899.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(domain_of(singleton_set(x)))) -> equal(f8(ordered_pair(second(f28(u,v,w)),w),singleton_set(x)),x)**. % 299.97/300.39 97765[0:Res:1468.2,2899.0] || member(u,image(v,w)) member(f22(u,v,w),converse(domain_of(singleton_set(x)))) -> equal(f8(ordered_pair(u,first(f22(u,v,w))),singleton_set(x)),x)**. % 299.97/300.39 97704[0:Res:3842.1,2899.0] || -> equal(intersection(u,v),domain_of(singleton_set(w))) member(f1(intersection(u,v),domain_of(singleton_set(w))),u)* equal(f8(f1(intersection(u,v),domain_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 97703[0:Res:3843.1,2899.0] || -> equal(intersection(u,v),domain_of(singleton_set(w))) member(f1(intersection(u,v),domain_of(singleton_set(w))),v)* equal(f8(f1(intersection(u,v),domain_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 97702[0:Res:3825.2,2899.0] || -> equal(u,intersection(v,domain_of(singleton_set(w)))) member(f1(u,intersection(v,domain_of(singleton_set(w)))),u)* equal(f8(f1(u,intersection(v,domain_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.39 97668[0:Res:3843.2,2899.0] || -> equal(intersection(u,domain_of(singleton_set(v))),w) member(f1(intersection(u,domain_of(singleton_set(v))),w),w)* equal(f8(f1(intersection(u,domain_of(singleton_set(v))),w),singleton_set(v)),v)**. % 299.97/300.39 97667[0:Res:3824.2,2899.0] || -> equal(u,intersection(domain_of(singleton_set(v)),w)) member(f1(u,intersection(domain_of(singleton_set(v)),w)),u)* equal(f8(f1(u,intersection(domain_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.39 97628[0:Res:3842.2,2899.0] || -> equal(intersection(domain_of(singleton_set(u)),v),w) member(f1(intersection(domain_of(singleton_set(u)),v),w),w)* equal(f8(f1(intersection(domain_of(singleton_set(u)),v),w),singleton_set(u)),u)**. % 299.97/300.39 97622[0:Res:3824.1,2899.0] || -> equal(domain_of(singleton_set(u)),intersection(v,w)) member(f1(domain_of(singleton_set(u)),intersection(v,w)),v)* equal(f8(f1(domain_of(singleton_set(u)),intersection(v,w)),singleton_set(u)),u)**. % 299.97/300.39 97621[0:Res:3825.1,2899.0] || -> equal(domain_of(singleton_set(u)),intersection(v,w)) member(f1(domain_of(singleton_set(u)),intersection(v,w)),w)* equal(f8(f1(domain_of(singleton_set(u)),intersection(v,w)),singleton_set(u)),u)**. % 299.97/300.39 98003[0:Res:1464.2,2938.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(sigma(singleton_set(x)))) -> equal(f16(ordered_pair(second(f28(u,v,w)),w),singleton_set(x)),x)**. % 299.97/300.39 98002[0:Res:1468.2,2938.0] || member(u,image(v,w)) member(f22(u,v,w),converse(sigma(singleton_set(x)))) -> equal(f16(ordered_pair(u,first(f22(u,v,w))),singleton_set(x)),x)**. % 299.97/300.39 97917[0:Res:3842.1,2938.0] || -> equal(intersection(u,v),sigma(singleton_set(w))) member(f1(intersection(u,v),sigma(singleton_set(w))),u)* equal(f16(f1(intersection(u,v),sigma(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 97916[0:Res:3843.1,2938.0] || -> equal(intersection(u,v),sigma(singleton_set(w))) member(f1(intersection(u,v),sigma(singleton_set(w))),v)* equal(f16(f1(intersection(u,v),sigma(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 97915[0:Res:3825.2,2938.0] || -> equal(u,intersection(v,sigma(singleton_set(w)))) member(f1(u,intersection(v,sigma(singleton_set(w)))),u)* equal(f16(f1(u,intersection(v,sigma(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.39 97881[0:Res:3843.2,2938.0] || -> equal(intersection(u,sigma(singleton_set(v))),w) member(f1(intersection(u,sigma(singleton_set(v))),w),w)* equal(f16(f1(intersection(u,sigma(singleton_set(v))),w),singleton_set(v)),v)**. % 299.97/300.39 97880[0:Res:3824.2,2938.0] || -> equal(u,intersection(sigma(singleton_set(v)),w)) member(f1(u,intersection(sigma(singleton_set(v)),w)),u)* equal(f16(f1(u,intersection(sigma(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.39 97841[0:Res:3842.2,2938.0] || -> equal(intersection(sigma(singleton_set(u)),v),w) member(f1(intersection(sigma(singleton_set(u)),v),w),w)* equal(f16(f1(intersection(sigma(singleton_set(u)),v),w),singleton_set(u)),u)**. % 299.97/300.39 97835[0:Res:3824.1,2938.0] || -> equal(sigma(singleton_set(u)),intersection(v,w)) member(f1(sigma(singleton_set(u)),intersection(v,w)),v)* equal(f16(f1(sigma(singleton_set(u)),intersection(v,w)),singleton_set(u)),u)**. % 299.97/300.39 97834[0:Res:3825.1,2938.0] || -> equal(sigma(singleton_set(u)),intersection(v,w)) member(f1(sigma(singleton_set(u)),intersection(v,w)),w)* equal(f16(f1(sigma(singleton_set(u)),intersection(v,w)),singleton_set(u)),u)**. % 299.97/300.39 98222[0:Res:1464.2,2959.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(range_of(singleton_set(x)))) -> equal(f27(ordered_pair(second(f28(u,v,w)),w),singleton_set(x)),x)**. % 299.97/300.39 98221[0:Res:1468.2,2959.0] || member(u,image(v,w)) member(f22(u,v,w),converse(range_of(singleton_set(x)))) -> equal(f27(ordered_pair(u,first(f22(u,v,w))),singleton_set(x)),x)**. % 299.97/300.39 98160[0:Res:3842.1,2959.0] || -> equal(intersection(u,v),range_of(singleton_set(w))) member(f1(intersection(u,v),range_of(singleton_set(w))),u)* equal(f27(f1(intersection(u,v),range_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 98159[0:Res:3843.1,2959.0] || -> equal(intersection(u,v),range_of(singleton_set(w))) member(f1(intersection(u,v),range_of(singleton_set(w))),v)* equal(f27(f1(intersection(u,v),range_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 98158[0:Res:3825.2,2959.0] || -> equal(u,intersection(v,range_of(singleton_set(w)))) member(f1(u,intersection(v,range_of(singleton_set(w)))),u)* equal(f27(f1(u,intersection(v,range_of(singleton_set(w)))),singleton_set(w)),w)**. % 299.97/300.39 98124[0:Res:3843.2,2959.0] || -> equal(intersection(u,range_of(singleton_set(v))),w) member(f1(intersection(u,range_of(singleton_set(v))),w),w)* equal(f27(f1(intersection(u,range_of(singleton_set(v))),w),singleton_set(v)),v)**. % 299.97/300.39 98123[0:Res:3824.2,2959.0] || -> equal(u,intersection(range_of(singleton_set(v)),w)) member(f1(u,intersection(range_of(singleton_set(v)),w)),u)* equal(f27(f1(u,intersection(range_of(singleton_set(v)),w)),singleton_set(v)),v)**. % 299.97/300.39 98084[0:Res:3842.2,2959.0] || -> equal(intersection(range_of(singleton_set(u)),v),w) member(f1(intersection(range_of(singleton_set(u)),v),w),w)* equal(f27(f1(intersection(range_of(singleton_set(u)),v),w),singleton_set(u)),u)**. % 299.97/300.39 98078[0:Res:3824.1,2959.0] || -> equal(range_of(singleton_set(u)),intersection(v,w)) member(f1(range_of(singleton_set(u)),intersection(v,w)),v)* equal(f27(f1(range_of(singleton_set(u)),intersection(v,w)),singleton_set(u)),u)**. % 299.97/300.39 98077[0:Res:3825.1,2959.0] || -> equal(range_of(singleton_set(u)),intersection(v,w)) member(f1(range_of(singleton_set(u)),intersection(v,w)),w)* equal(f27(f1(range_of(singleton_set(u)),intersection(v,w)),singleton_set(u)),u)**. % 299.97/300.39 98423[0:Res:8090.0,1421.0] || -> subset(complement(complement(ordered_pair(u,v))),w) equal(f17(complement(complement(ordered_pair(u,v))),w),non_ordered_pair(u,v))** equal(f17(complement(complement(ordered_pair(u,v))),w),singleton_set(u)). % 299.97/300.39 98391[0:Res:8090.0,1163.0] || member(u,v) -> subset(complement(complement(converse(u))),w) member(ordered_pair(second(f17(complement(complement(converse(u))),w)),first(f17(complement(complement(converse(u))),w))),sigma(v))*. % 299.97/300.39 98539[0:Res:9082.0,1421.0] || -> disjoint(u,complement(complement(ordered_pair(v,w)))) equal(f23(u,complement(complement(ordered_pair(v,w)))),non_ordered_pair(v,w))** equal(f23(u,complement(complement(ordered_pair(v,w)))),singleton_set(v)). % 299.97/300.39 98507[0:Res:9082.0,1163.0] || member(u,v) -> disjoint(w,complement(complement(converse(u)))) member(ordered_pair(second(f23(w,complement(complement(converse(u))))),first(f23(w,complement(complement(converse(u)))))),sigma(v))*. % 299.97/300.39 98729[0:Res:9151.0,1421.0] || -> disjoint(complement(complement(ordered_pair(u,v))),w) equal(f23(complement(complement(ordered_pair(u,v))),w),non_ordered_pair(u,v))** equal(f23(complement(complement(ordered_pair(u,v))),w),singleton_set(u)). % 299.97/300.39 98697[0:Res:9151.0,1163.0] || member(u,v) -> disjoint(complement(complement(converse(u))),w) member(ordered_pair(second(f23(complement(complement(converse(u))),w)),first(f23(complement(complement(converse(u))),w))),sigma(v))*. % 299.97/300.39 99716[0:Res:22366.2,4457.3] ordered_pair_predicate(u) ordered_pair_predicate(v) || member(cross_product(w,x),f2(u))* member(second(v),x)* member(first(v),w)* -> member(v,sigma(first(u)))*. % 299.97/300.39 99707[0:Res:22366.2,4122.1] ordered_pair_predicate(u) || member(ordered_pair(second(f28(v,w,x)),x),f2(u))* member(v,apply(w,x)) -> member(f28(v,w,x),converse(first(u))). % 299.97/300.39 99704[0:Res:22366.2,4121.1] ordered_pair_predicate(u) || member(ordered_pair(v,first(f22(v,w,x))),f2(u))* member(v,image(w,x)) -> member(f22(v,w,x),converse(first(u))). % 299.97/300.39 99684[0:Res:22366.2,4768.1] ordered_pair_predicate(u) || member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),f2(u))* member(v,rotate_right(w)) disjoint(first(u),w) -> . % 299.97/300.39 99683[0:Res:22366.2,4620.1] ordered_pair_predicate(u) || member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),f2(u))* member(v,flip_range_of(w)) disjoint(first(u),w) -> . % 299.97/300.39 99679[0:Res:22366.2,4284.1] ordered_pair_predicate(u) || member(ordered_pair(f31(v,w,complement(first(u))),f30(v,w,complement(first(u)))),f2(u))* member(v,compose(w,complement(first(u)))) -> . % 299.97/300.39 99664[0:Res:22366.2,4359.1] ordered_pair_predicate(u) || member(ordered_pair(f29(v,complement(first(u)),w),f31(v,complement(first(u)),w)),f2(u))* member(v,compose(complement(first(u)),w)) -> . % 299.97/300.39 99649[0:Res:22366.2,3673.0] ordered_pair_predicate(u) || member(f17(v,intersection(w,first(u))),f2(u))* member(f17(v,intersection(w,first(u))),w)* -> subset(v,intersection(w,first(u))). % 299.97/300.39 99618[0:Res:22366.2,4166.1] ordered_pair_predicate(u) || member(f1(first(u),non_ordered_pair(v,w)),f2(u))* equal(f1(first(u),non_ordered_pair(v,w)),w) -> equal(first(u),non_ordered_pair(v,w)). % 299.97/300.39 99617[0:Res:22366.2,4167.1] ordered_pair_predicate(u) || member(f1(first(u),non_ordered_pair(v,w)),f2(u))* equal(f1(first(u),non_ordered_pair(v,w)),v) -> equal(first(u),non_ordered_pair(v,w)). % 299.97/300.39 99913[0:Res:22612.2,4457.3] ordered_pair_predicate(u) ordered_pair_predicate(v) || member(cross_product(w,x),f3(u))* member(second(v),x)* member(first(v),w)* -> member(v,sigma(second(u)))*. % 299.97/300.39 99904[0:Res:22612.2,4122.1] ordered_pair_predicate(u) || member(ordered_pair(second(f28(v,w,x)),x),f3(u))* member(v,apply(w,x)) -> member(f28(v,w,x),converse(second(u))). % 299.97/300.39 99901[0:Res:22612.2,4121.1] ordered_pair_predicate(u) || member(ordered_pair(v,first(f22(v,w,x))),f3(u))* member(v,image(w,x)) -> member(f22(v,w,x),converse(second(u))). % 299.97/300.39 99878[0:Res:22612.2,4768.1] ordered_pair_predicate(u) || member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),f3(u))* member(v,rotate_right(w)) disjoint(second(u),w) -> . % 299.97/300.39 99877[0:Res:22612.2,4620.1] ordered_pair_predicate(u) || member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),f3(u))* member(v,flip_range_of(w)) disjoint(second(u),w) -> . % 299.97/300.39 99873[0:Res:22612.2,4284.1] ordered_pair_predicate(u) || member(ordered_pair(f31(v,w,complement(second(u))),f30(v,w,complement(second(u)))),f3(u))* member(v,compose(w,complement(second(u)))) -> . % 299.97/300.39 99858[0:Res:22612.2,4359.1] ordered_pair_predicate(u) || member(ordered_pair(f29(v,complement(second(u)),w),f31(v,complement(second(u)),w)),f3(u))* member(v,compose(complement(second(u)),w)) -> . % 299.97/300.39 99843[0:Res:22612.2,3673.0] ordered_pair_predicate(u) || member(f17(v,intersection(w,second(u))),f3(u))* member(f17(v,intersection(w,second(u))),w)* -> subset(v,intersection(w,second(u))). % 299.97/300.39 99812[0:Res:22612.2,4166.1] ordered_pair_predicate(u) || member(f1(second(u),non_ordered_pair(v,w)),f3(u))* equal(f1(second(u),non_ordered_pair(v,w)),w) -> equal(second(u),non_ordered_pair(v,w)). % 299.97/300.39 99811[0:Res:22612.2,4167.1] ordered_pair_predicate(u) || member(f1(second(u),non_ordered_pair(v,w)),f3(u))* equal(f1(second(u),non_ordered_pair(v,w)),v) -> equal(second(u),non_ordered_pair(v,w)). % 299.97/300.39 100057[16:Res:59019.2,1438.0] || subset(u,sigma(non_ordered_pair(v,w))) -> equal(u,a) equal(f16(f1(u,a),non_ordered_pair(v,w)),w)** equal(f16(f1(u,a),non_ordered_pair(v,w)),v)**. % 299.97/300.39 100054[16:Res:59019.2,5070.1] || subset(u,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> equal(u,a) member(f1(u,a),second(x))*. % 299.97/300.39 100053[16:Res:59019.2,5068.1] || subset(u,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> equal(u,a) member(f1(u,a),second(x))*. % 299.97/300.39 100016[16:Res:59019.2,1437.0] || subset(u,range_of(non_ordered_pair(v,w))) -> equal(u,a) equal(f27(f1(u,a),non_ordered_pair(v,w)),w)** equal(f27(f1(u,a),non_ordered_pair(v,w)),v)**. % 299.97/300.39 100012[16:Res:59019.2,1439.0] || subset(u,domain_of(non_ordered_pair(v,w))) -> equal(u,a) equal(f8(f1(u,a),non_ordered_pair(v,w)),w)** equal(f8(f1(u,a),non_ordered_pair(v,w)),v)**. % 299.97/300.39 100675[16:Res:59021.2,1438.0] || subset(u,sigma(non_ordered_pair(v,w))) -> equal(a,u) equal(f16(f1(a,u),non_ordered_pair(v,w)),w)** equal(f16(f1(a,u),non_ordered_pair(v,w)),v)**. % 299.97/300.39 100672[16:Res:59021.2,5070.1] || subset(u,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> equal(a,u) member(f1(a,u),second(x))*. % 299.97/300.39 100671[16:Res:59021.2,5068.1] || subset(u,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> equal(a,u) member(f1(a,u),second(x))*. % 299.97/300.39 100629[16:Res:59021.2,1437.0] || subset(u,range_of(non_ordered_pair(v,w))) -> equal(a,u) equal(f27(f1(a,u),non_ordered_pair(v,w)),w)** equal(f27(f1(a,u),non_ordered_pair(v,w)),v)**. % 299.97/300.39 100625[16:Res:59021.2,1439.0] || subset(u,domain_of(non_ordered_pair(v,w))) -> equal(a,u) equal(f8(f1(a,u),non_ordered_pair(v,w)),w)** equal(f8(f1(a,u),non_ordered_pair(v,w)),v)**. % 299.97/300.39 100802[16:Res:59048.1,1421.0] || -> equal(intersection(ordered_pair(u,v),w),a) equal(f1(intersection(ordered_pair(u,v),w),a),non_ordered_pair(u,v))** equal(f1(intersection(ordered_pair(u,v),w),a),singleton_set(u)). % 299.97/300.39 100770[16:Res:59048.1,1163.0] || member(u,v) -> equal(intersection(converse(u),w),a) member(ordered_pair(second(f1(intersection(converse(u),w),a)),first(f1(intersection(converse(u),w),a))),sigma(v))*. % 299.97/300.39 100919[16:Res:59049.1,1421.0] || -> equal(intersection(u,ordered_pair(v,w)),a) equal(f1(intersection(u,ordered_pair(v,w)),a),non_ordered_pair(v,w))** equal(f1(intersection(u,ordered_pair(v,w)),a),singleton_set(v)). % 299.97/300.39 100887[16:Res:59049.1,1163.0] || member(u,v) -> equal(intersection(w,converse(u)),a) member(ordered_pair(second(f1(intersection(w,converse(u)),a)),first(f1(intersection(w,converse(u)),a))),sigma(v))*. % 299.97/300.39 101020[16:Res:59050.1,1421.0] || -> equal(intersection(ordered_pair(u,v),w),a) equal(f1(a,intersection(ordered_pair(u,v),w)),non_ordered_pair(u,v))** equal(f1(a,intersection(ordered_pair(u,v),w)),singleton_set(u)). % 299.97/300.39 100988[16:Res:59050.1,1163.0] || member(u,v) -> equal(intersection(converse(u),w),a) member(ordered_pair(second(f1(a,intersection(converse(u),w))),first(f1(a,intersection(converse(u),w)))),sigma(v))*. % 299.97/300.39 101159[16:Res:59051.1,1421.0] || -> equal(intersection(u,ordered_pair(v,w)),a) equal(f1(a,intersection(u,ordered_pair(v,w))),non_ordered_pair(v,w))** equal(f1(a,intersection(u,ordered_pair(v,w))),singleton_set(v)). % 299.97/300.39 101127[16:Res:59051.1,1163.0] || member(u,v) -> equal(intersection(w,converse(u)),a) member(ordered_pair(second(f1(a,intersection(w,converse(u)))),first(f1(a,intersection(w,converse(u))))),sigma(v))*. % 299.97/300.39 101353[16:Res:59052.1,1421.0] || -> equal(restrict(ordered_pair(u,v),w),a) equal(f1(restrict(ordered_pair(u,v),w),a),non_ordered_pair(u,v))** equal(f1(restrict(ordered_pair(u,v),w),a),singleton_set(u)). % 299.97/300.39 101321[16:Res:59052.1,1163.0] || member(u,v) -> equal(restrict(converse(u),w),a) member(ordered_pair(second(f1(restrict(converse(u),w),a)),first(f1(restrict(converse(u),w),a))),sigma(v))*. % 299.97/300.39 101613[16:Res:59053.1,1421.0] || -> equal(restrict(ordered_pair(u,v),w),a) equal(f1(a,restrict(ordered_pair(u,v),w)),non_ordered_pair(u,v))** equal(f1(a,restrict(ordered_pair(u,v),w)),singleton_set(u)). % 299.97/300.39 101581[16:Res:59053.1,1163.0] || member(u,v) -> equal(restrict(converse(u),w),a) member(ordered_pair(second(f1(a,restrict(converse(u),w))),first(f1(a,restrict(converse(u),w)))),sigma(v))*. % 299.97/300.39 101764[16:Res:57867.1,5070.1] || disjoint(complement(ordered_pair(f13(u,v),f14(u,v))),w)* member(u,flip_range_of(v)) equal(x,u)* -> equal(w,a) member(f24(w),second(x))*. % 299.97/300.39 101763[16:Res:57867.1,5068.1] || disjoint(complement(ordered_pair(f10(u,v),f11(u,v))),w)* member(u,rotate_right(v)) equal(x,u)* -> equal(w,a) member(f24(w),second(x))*. % 299.97/300.39 101858[0:Res:3813.2,1014.0] || disjoint(u,universal_set) -> equal(converse(cross_product(v,w)),u) member(first(ordered_pair(second(f1(converse(cross_product(v,w)),u)),first(f1(converse(cross_product(v,w)),u)))),v)*. % 299.97/300.39 101857[0:Res:3813.2,1015.0] || disjoint(u,universal_set) -> equal(converse(cross_product(v,w)),u) member(second(ordered_pair(second(f1(converse(cross_product(v,w)),u)),first(f1(converse(cross_product(v,w)),u)))),w)*. % 299.97/300.39 101992[0:Res:3831.2,1014.0] || disjoint(u,universal_set) -> equal(u,converse(cross_product(v,w))) member(first(ordered_pair(second(f1(u,converse(cross_product(v,w)))),first(f1(u,converse(cross_product(v,w)))))),v)*. % 299.97/300.39 101991[0:Res:3831.2,1015.0] || disjoint(u,universal_set) -> equal(u,converse(cross_product(v,w))) member(second(ordered_pair(second(f1(u,converse(cross_product(v,w)))),first(f1(u,converse(cross_product(v,w)))))),w)*. % 299.97/300.39 103691[0:Res:1464.2,16184.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(domain_of(intersection(cross_product(x,y),z))))* -> member(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.39 103690[0:Res:1468.2,16184.0] || member(u,image(v,w)) member(f22(u,v,w),converse(domain_of(intersection(cross_product(x,y),z))))* -> member(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.39 103673[0:Res:1549.1,16184.0] || member(u,image(cross_product(domain_of(intersection(cross_product(v,w),x)),y),z)) -> member(first(first(f22(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y),z))),v)*. % 299.97/300.39 103611[0:Res:1550.1,16184.0] || member(u,image(cross_product(v,domain_of(intersection(cross_product(w,x),y))),z)) -> member(second(first(f22(u,cross_product(v,domain_of(intersection(cross_product(w,x),y))),z))),w)*. % 299.97/300.39 103585[0:Res:6.1,16184.0] || -> equal(u,domain_of(intersection(cross_product(v,w),x))) member(f1(u,domain_of(intersection(cross_product(v,w),x))),u)* member(f1(u,domain_of(intersection(cross_product(v,w),x))),v)*. % 299.97/300.39 103532[0:Res:6.2,16184.0] || -> equal(domain_of(intersection(cross_product(u,v),w)),x) member(f1(domain_of(intersection(cross_product(u,v),w)),x),x)* member(f1(domain_of(intersection(cross_product(u,v),w)),x),u)*. % 299.97/300.39 103933[0:Res:1464.2,16416.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(domain_of(intersection(x,cross_product(y,z)))))* -> member(ordered_pair(second(f28(u,v,w)),w),y)*. % 299.97/300.39 103932[0:Res:1468.2,16416.0] || member(u,image(v,w)) member(f22(u,v,w),converse(domain_of(intersection(x,cross_product(y,z)))))* -> member(ordered_pair(u,first(f22(u,v,w))),y)*. % 299.97/300.39 103915[0:Res:1549.1,16416.0] || member(u,image(cross_product(domain_of(intersection(v,cross_product(w,x))),y),z)) -> member(first(first(f22(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y),z))),w)*. % 299.97/300.39 103853[0:Res:1550.1,16416.0] || member(u,image(cross_product(v,domain_of(intersection(w,cross_product(x,y)))),z)) -> member(second(first(f22(u,cross_product(v,domain_of(intersection(w,cross_product(x,y)))),z))),x)*. % 299.97/300.39 103827[0:Res:6.1,16416.0] || -> equal(u,domain_of(intersection(v,cross_product(w,x)))) member(f1(u,domain_of(intersection(v,cross_product(w,x)))),u)* member(f1(u,domain_of(intersection(v,cross_product(w,x)))),w)*. % 299.97/300.39 103774[0:Res:6.2,16416.0] || -> equal(domain_of(intersection(u,cross_product(v,w))),x) member(f1(domain_of(intersection(u,cross_product(v,w))),x),x)* member(f1(domain_of(intersection(u,cross_product(v,w))),x),v)*. % 299.97/300.39 104178[0:Res:1464.2,17439.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(range_of(intersection(cross_product(x,y),z))))* -> member(ordered_pair(second(f28(u,v,w)),w),y)*. % 299.97/300.39 104177[0:Res:1468.2,17439.0] || member(u,image(v,w)) member(f22(u,v,w),converse(range_of(intersection(cross_product(x,y),z))))* -> member(ordered_pair(u,first(f22(u,v,w))),y)*. % 299.97/300.39 104160[0:Res:1549.1,17439.0] || member(u,image(cross_product(range_of(intersection(cross_product(v,w),x)),y),z)) -> member(first(first(f22(u,cross_product(range_of(intersection(cross_product(v,w),x)),y),z))),w)*. % 299.97/300.39 104098[0:Res:1550.1,17439.0] || member(u,image(cross_product(v,range_of(intersection(cross_product(w,x),y))),z)) -> member(second(first(f22(u,cross_product(v,range_of(intersection(cross_product(w,x),y))),z))),x)*. % 299.97/300.39 104072[0:Res:6.1,17439.0] || -> equal(u,range_of(intersection(cross_product(v,w),x))) member(f1(u,range_of(intersection(cross_product(v,w),x))),u)* member(f1(u,range_of(intersection(cross_product(v,w),x))),w)*. % 299.97/300.39 104019[0:Res:6.2,17439.0] || -> equal(range_of(intersection(cross_product(u,v),w)),x) member(f1(range_of(intersection(cross_product(u,v),w)),x),x)* member(f1(range_of(intersection(cross_product(u,v),w)),x),v)*. % 299.97/300.39 104455[0:Res:1464.2,17546.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(range_of(intersection(x,cross_product(y,z)))))* -> member(ordered_pair(second(f28(u,v,w)),w),z)*. % 299.97/300.39 104454[0:Res:1468.2,17546.0] || member(u,image(v,w)) member(f22(u,v,w),converse(range_of(intersection(x,cross_product(y,z)))))* -> member(ordered_pair(u,first(f22(u,v,w))),z)*. % 299.97/300.39 104437[0:Res:1549.1,17546.0] || member(u,image(cross_product(range_of(intersection(v,cross_product(w,x))),y),z)) -> member(first(first(f22(u,cross_product(range_of(intersection(v,cross_product(w,x))),y),z))),x)*. % 299.97/300.39 104375[0:Res:1550.1,17546.0] || member(u,image(cross_product(v,range_of(intersection(w,cross_product(x,y)))),z)) -> member(second(first(f22(u,cross_product(v,range_of(intersection(w,cross_product(x,y)))),z))),y)*. % 299.97/300.39 104349[0:Res:6.1,17546.0] || -> equal(u,range_of(intersection(v,cross_product(w,x)))) member(f1(u,range_of(intersection(v,cross_product(w,x)))),u)* member(f1(u,range_of(intersection(v,cross_product(w,x)))),x)*. % 299.97/300.39 104296[0:Res:6.2,17546.0] || -> equal(range_of(intersection(u,cross_product(v,w))),x) member(f1(range_of(intersection(u,cross_product(v,w))),x),x)* member(f1(range_of(intersection(u,cross_product(v,w))),x),w)*. % 299.97/300.39 105408[0:Res:1464.2,26698.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(apply(cross_product(x,y),z)))* -> member(ordered_pair(second(f28(u,v,w)),w),sigma(y))*. % 299.97/300.39 105407[0:Res:1468.2,26698.0] || member(u,image(v,w)) member(f22(u,v,w),converse(apply(cross_product(x,y),z)))* -> member(ordered_pair(u,first(f22(u,v,w))),sigma(y))*. % 299.97/300.39 105372[0:Res:288.1,26698.0] || -> single_valued_set(intersection(apply(cross_product(u,v),w),x)) member(ordered_pair(f19(intersection(apply(cross_product(u,v),w),x)),f20(intersection(apply(cross_product(u,v),w),x))),sigma(v))*. % 299.97/300.39 105371[0:Res:287.1,26698.0] || -> single_valued_set(intersection(apply(cross_product(u,v),w),x)) member(ordered_pair(f19(intersection(apply(cross_product(u,v),w),x)),f21(intersection(apply(cross_product(u,v),w),x))),sigma(v))*. % 299.97/300.39 105361[0:Res:280.1,26698.0] || -> single_valued_set(intersection(u,apply(cross_product(v,w),x))) member(ordered_pair(f19(intersection(u,apply(cross_product(v,w),x))),f20(intersection(u,apply(cross_product(v,w),x)))),sigma(w))*. % 299.97/300.39 105360[0:Res:279.1,26698.0] || -> single_valued_set(intersection(u,apply(cross_product(v,w),x))) member(ordered_pair(f19(intersection(u,apply(cross_product(v,w),x))),f21(intersection(u,apply(cross_product(v,w),x)))),sigma(w))*. % 299.97/300.39 5355[0:Obv:5346.0] little_set(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,singleton_set(singleton_set(u))))* member(ordered_pair(u,ordered_pair(u,v)),x)* -> member(w,rotate_right(x))*. % 299.97/300.39 6050[0:Rew:375.0,6049.4] little_set(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,singleton_set(singleton_set(u))))* member(ordered_pair(v,singleton_set(singleton_set(u))),x)* -> member(w,flip_range_of(x))*. % 299.97/300.39 8214[0:SSi:8200.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(singleton_set(x)) || equal(ordered_pair(w,u),x)* member(ordered_pair(w,v),singleton_set(x))* -> equal(v,u)*. % 299.97/300.39 9859[0:Res:136.1,1354.0] || member(u,compose(v,image(w,cross_product(x,y)))) -> member(ordered_pair(f31(u,v,image(w,cross_product(x,y))),f30(u,v,image(w,cross_product(x,y)))),y)*. % 299.97/300.39 9856[0:Res:135.1,1354.0] || member(u,compose(image(v,cross_product(w,x)),y)) -> member(ordered_pair(f29(u,image(v,cross_product(w,x)),y),f31(u,image(v,cross_product(w,x)),y)),x)*. % 299.97/300.39 11127[0:Res:52.1,4238.0] || member(u,rotate_right(compose(v,w))) equal(x,ordered_pair(f10(u,compose(v,w)),ordered_pair(f11(u,compose(v,w)),f9(u,compose(v,w)))))* -> ordered_pair_predicate(x)*. % 299.97/300.39 11126[0:Res:58.1,4238.0] || member(u,flip_range_of(compose(v,w))) equal(x,ordered_pair(f12(u,compose(v,w)),ordered_pair(f14(u,compose(v,w)),f13(u,compose(v,w)))))* -> ordered_pair_predicate(x)*. % 299.97/300.39 12215[6:Res:142.3,10857.1] || closed(u,v) closed(infinity,w) maps(x,infinity,u) equal(successor(f32(x,infinity,w,u,v)),universal_set)** -> homomorphism(x,infinity,w,u,v). % 299.97/300.39 12214[6:Res:143.3,10857.1] || closed(u,v) closed(infinity,w) maps(x,infinity,u) equal(successor(f33(x,infinity,w,u,v)),universal_set)** -> homomorphism(x,infinity,w,u,v). % 299.97/300.39 14434[0:SpR:51.1,372.0] || member(u,rotate_right(v)) -> equal(ordered_pair(singleton_set(f9(u,v)),non_ordered_pair(f9(u,v),ordered_pair(f10(u,v),f11(u,v)))),non_ordered_pair(singleton_set(singleton_set(f9(u,v))),u))**. % 299.97/300.39 14433[0:SpR:57.1,372.0] || member(u,flip_range_of(v)) -> equal(ordered_pair(singleton_set(f12(u,v)),non_ordered_pair(f12(u,v),ordered_pair(f13(u,v),f14(u,v)))),non_ordered_pair(singleton_set(singleton_set(f12(u,v))),u))**. % 299.97/300.39 14879[0:Res:281.1,1020.0] || -> disjoint(u,intersection(v,converse(intersection(w,x)))) member(ordered_pair(second(f23(u,intersection(v,converse(intersection(w,x))))),first(f23(u,intersection(v,converse(intersection(w,x)))))),w)*. % 299.97/300.39 14862[0:Res:278.1,1020.0] || -> subset(intersection(u,converse(intersection(v,w))),x) member(ordered_pair(second(f17(intersection(u,converse(intersection(v,w))),x)),first(f17(intersection(u,converse(intersection(v,w))),x))),v)*. % 299.97/300.39 14859[0:Res:277.1,1020.0] || -> disjoint(intersection(u,converse(intersection(v,w))),x) member(ordered_pair(second(f23(intersection(u,converse(intersection(v,w))),x)),first(f23(intersection(u,converse(intersection(v,w))),x))),v)*. % 299.97/300.39 14857[0:Res:289.1,1020.0] || -> disjoint(u,intersection(converse(intersection(v,w)),x)) member(ordered_pair(second(f23(u,intersection(converse(intersection(v,w)),x))),first(f23(u,intersection(converse(intersection(v,w)),x)))),v)*. % 299.97/300.39 14845[0:Res:285.1,1020.0] || -> disjoint(intersection(converse(intersection(u,v)),w),x) member(ordered_pair(second(f23(intersection(converse(intersection(u,v)),w),x)),first(f23(intersection(converse(intersection(u,v)),w),x))),u)*. % 299.97/300.39 14843[0:Res:286.1,1020.0] || -> subset(intersection(converse(intersection(u,v)),w),x) member(ordered_pair(second(f17(intersection(converse(intersection(u,v)),w),x)),first(f17(intersection(converse(intersection(u,v)),w),x))),u)*. % 299.97/300.39 14985[0:Res:281.1,1021.0] || -> disjoint(u,intersection(v,converse(intersection(w,x)))) member(ordered_pair(second(f23(u,intersection(v,converse(intersection(w,x))))),first(f23(u,intersection(v,converse(intersection(w,x)))))),x)*. % 299.97/300.39 14968[0:Res:278.1,1021.0] || -> subset(intersection(u,converse(intersection(v,w))),x) member(ordered_pair(second(f17(intersection(u,converse(intersection(v,w))),x)),first(f17(intersection(u,converse(intersection(v,w))),x))),w)*. % 299.97/300.39 14965[0:Res:277.1,1021.0] || -> disjoint(intersection(u,converse(intersection(v,w))),x) member(ordered_pair(second(f23(intersection(u,converse(intersection(v,w))),x)),first(f23(intersection(u,converse(intersection(v,w))),x))),w)*. % 299.97/300.39 14963[0:Res:289.1,1021.0] || -> disjoint(u,intersection(converse(intersection(v,w)),x)) member(ordered_pair(second(f23(u,intersection(converse(intersection(v,w)),x))),first(f23(u,intersection(converse(intersection(v,w)),x)))),w)*. % 299.97/300.39 14951[0:Res:285.1,1021.0] || -> disjoint(intersection(converse(intersection(u,v)),w),x) member(ordered_pair(second(f23(intersection(converse(intersection(u,v)),w),x)),first(f23(intersection(converse(intersection(u,v)),w),x))),v)*. % 299.97/300.39 14949[0:Res:286.1,1021.0] || -> subset(intersection(converse(intersection(u,v)),w),x) member(ordered_pair(second(f17(intersection(converse(intersection(u,v)),w),x)),first(f17(intersection(converse(intersection(u,v)),w),x))),v)*. % 299.97/300.39 18292[3:Res:279.1,6192.1] || member(u,v) equal(first(u),w) -> single_valued_set(intersection(x,second(u))) member(ordered_pair(f19(intersection(x,second(u))),f21(intersection(x,second(u)))),apply(v,w))*. % 299.97/300.39 18429[3:Res:280.1,6192.1] || member(u,v) equal(first(u),w) -> single_valued_set(intersection(x,second(u))) member(ordered_pair(f19(intersection(x,second(u))),f20(intersection(x,second(u)))),apply(v,w))*. % 299.97/300.39 18511[3:Res:287.1,6192.1] || member(u,v) equal(first(u),w) -> single_valued_set(intersection(second(u),x)) member(ordered_pair(f19(intersection(second(u),x)),f21(intersection(second(u),x))),apply(v,w))*. % 299.97/300.39 18653[3:Res:288.1,6192.1] || member(u,v) equal(first(u),w) -> single_valued_set(intersection(second(u),x)) member(ordered_pair(f19(intersection(second(u),x)),f20(intersection(second(u),x))),apply(v,w))*. % 299.97/300.39 19571[0:Res:546.1,8.0] || member(u,domain_of(cross_product(v,non_ordered_pair(w,x)))) -> equal(second(f8(u,cross_product(v,non_ordered_pair(w,x)))),x)** equal(second(f8(u,cross_product(v,non_ordered_pair(w,x)))),w)**. % 299.97/300.39 20656[0:Res:545.1,8.0] || member(u,sigma(cross_product(v,non_ordered_pair(w,x)))) -> equal(second(f16(u,cross_product(v,non_ordered_pair(w,x)))),x)** equal(second(f16(u,cross_product(v,non_ordered_pair(w,x)))),w)**. % 299.97/300.39 20764[0:Res:558.1,8.0] || member(u,sigma(cross_product(non_ordered_pair(v,w),x))) -> equal(first(f16(u,cross_product(non_ordered_pair(v,w),x))),w)** equal(first(f16(u,cross_product(non_ordered_pair(v,w),x))),v)**. % 299.97/300.39 20899[0:Res:557.1,8.0] || member(u,range_of(cross_product(non_ordered_pair(v,w),x))) -> equal(first(f27(u,cross_product(non_ordered_pair(v,w),x))),w)** equal(first(f27(u,cross_product(non_ordered_pair(v,w),x))),v)**. % 299.97/300.39 20994[0:Res:33.2,1349.1] || member(f22(u,v,complement(intersection(w,x))),x)* member(f22(u,v,complement(intersection(w,x))),w)* member(u,image(v,complement(intersection(w,x)))) -> . % 299.97/300.39 21058[0:Res:33.2,1284.1] || member(f28(u,complement(intersection(v,w)),x),w)* member(f28(u,complement(intersection(v,w)),x),v)* member(u,apply(complement(intersection(v,w)),x)) -> . % 299.97/300.39 21221[0:Res:6.1,1421.0] || -> equal(u,ordered_pair(v,w)) member(f1(u,ordered_pair(v,w)),u)* equal(f1(u,ordered_pair(v,w)),non_ordered_pair(v,w)) equal(f1(u,ordered_pair(v,w)),singleton_set(v)). % 299.97/300.39 21205[0:Res:94.1,1421.0] || member(u,image(ordered_pair(v,w),x)) -> equal(first(f22(u,ordered_pair(v,w),x)),non_ordered_pair(v,w))** equal(first(f22(u,ordered_pair(v,w),x)),singleton_set(v)). % 299.97/300.39 21198[0:Res:6.2,1421.0] || -> equal(ordered_pair(u,v),w) member(f1(ordered_pair(u,v),w),w)* equal(f1(ordered_pair(u,v),w),non_ordered_pair(u,v)) equal(f1(ordered_pair(u,v),w),singleton_set(u)). % 299.97/300.39 21196[0:Res:86.1,1421.0] || -> single_valued_set(ordered_pair(u,v)) equal(ordered_pair(f19(ordered_pair(u,v)),f20(ordered_pair(u,v))),non_ordered_pair(u,v))** equal(ordered_pair(f19(ordered_pair(u,v)),f20(ordered_pair(u,v))),singleton_set(u)). % 299.97/300.39 21195[0:Res:87.1,1421.0] || -> single_valued_set(ordered_pair(u,v)) equal(ordered_pair(f19(ordered_pair(u,v)),f21(ordered_pair(u,v))),non_ordered_pair(u,v))** equal(ordered_pair(f19(ordered_pair(u,v)),f21(ordered_pair(u,v))),singleton_set(u)). % 299.97/300.39 21925[0:Res:556.1,1009.0] || subset(u,v) -> disjoint(w,cross_product(converse(u),x)) member(ordered_pair(second(first(f23(w,cross_product(converse(u),x)))),first(first(f23(w,cross_product(converse(u),x))))),v)*. % 299.97/300.39 21922[0:Res:552.1,1009.0] || subset(u,v) -> subset(cross_product(converse(u),w),x) member(ordered_pair(second(first(f17(cross_product(converse(u),w),x))),first(first(f17(cross_product(converse(u),w),x)))),v)*. % 299.97/300.39 21921[0:Res:551.1,1009.0] || subset(u,v) -> disjoint(cross_product(converse(u),w),x) member(ordered_pair(second(first(f23(cross_product(converse(u),w),x))),first(first(f23(cross_product(converse(u),w),x)))),v)*. % 299.97/300.39 21902[0:Res:456.1,1009.0] || member(u,sigma(intersection(v,converse(w)))) subset(w,x) -> member(ordered_pair(second(f16(u,intersection(v,converse(w)))),first(f16(u,intersection(v,converse(w))))),x)*. % 299.97/300.39 21892[0:Res:543.1,1009.0] || subset(u,v) -> disjoint(w,cross_product(x,converse(u))) member(ordered_pair(second(second(f23(w,cross_product(x,converse(u))))),first(second(f23(w,cross_product(x,converse(u)))))),v)*. % 299.97/300.39 21885[0:Res:539.1,1009.0] || subset(u,v) -> subset(cross_product(w,converse(u)),x) member(ordered_pair(second(second(f17(cross_product(w,converse(u)),x))),first(second(f17(cross_product(w,converse(u)),x)))),v)*. % 299.97/300.39 21884[0:Res:538.1,1009.0] || subset(u,v) -> disjoint(cross_product(w,converse(u)),x) member(ordered_pair(second(second(f23(cross_product(w,converse(u)),x))),first(second(f23(cross_product(w,converse(u)),x)))),v)*. % 299.97/300.39 21878[0:Res:455.1,1009.0] || member(u,sigma(intersection(converse(v),w))) subset(v,x) -> member(ordered_pair(second(f16(u,intersection(converse(v),w))),first(f16(u,intersection(converse(v),w)))),x)*. % 299.97/300.39 21976[0:Res:378.3,1136.2] ordered_pair_predicate(powerset(u)) little_set(v) || member(second(powerset(u)),w)* member(first(powerset(u)),x)* subset(v,u)* -> member(v,sigma(cross_product(x,w)))*. % 299.97/300.39 23199[3:Res:1350.1,6192.1] || member(u,image(v,intersection(second(w),x))) member(w,y) equal(first(w),z) -> member(f22(u,v,intersection(second(w),x)),apply(y,z))*. % 299.97/300.39 23284[3:Res:1351.1,6192.1] || member(u,image(v,intersection(w,second(x)))) member(x,y) equal(first(x),z) -> member(f22(u,v,intersection(w,second(x))),apply(y,z))*. % 299.97/300.39 23369[3:Res:1285.1,6192.1] || member(u,apply(intersection(second(v),w),x)) member(v,y) equal(first(v),z) -> member(f28(u,intersection(second(v),w),x),apply(y,z))*. % 299.97/300.39 23470[3:Res:1286.1,6192.1] || member(u,apply(intersection(v,second(w)),x)) member(w,y) equal(first(w),z) -> member(f28(u,intersection(v,second(w)),x),apply(y,z))*. % 299.97/300.39 23955[0:Res:3651.2,1227.1] || member(ordered_pair(second(u),first(u)),cross_product(v,universal_set))* member(ordered_pair(second(u),first(u)),w)* member(u,converse(x))* disjoint(restrict(w,v),x)* -> . % 299.97/300.39 23978[3:SSi:23940.0,5742.0,371.1] || member(second(ordered_pair(second(u),first(u))),v)* member(first(ordered_pair(second(u),first(u))),w)* member(u,converse(x))* disjoint(cross_product(w,v),x)* -> . % 299.97/300.39 24338[0:Res:4115.1,1163.0] ordered_pair_predicate(u) || member(v,w)* -> member(u,converse(complement(converse(v))))* member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),sigma(w))*. % 299.97/300.39 24295[0:Res:94.1,1163.0] || member(u,image(converse(v),w)) member(v,x) -> member(ordered_pair(second(first(f22(u,converse(v),w))),first(first(f22(u,converse(v),w)))),sigma(x))*. % 299.97/300.39 25429[3:Res:1544.2,6192.1] || member(u,image(v,w)) subset(v,second(x))* member(x,y)* equal(first(x),z)* -> member(first(f22(u,v,w)),apply(y,z))*. % 299.97/300.39 25424[0:Res:1544.2,1421.0] || member(u,image(v,w)) subset(v,ordered_pair(x,y))* -> equal(first(f22(u,v,w)),non_ordered_pair(x,y))* equal(first(f22(u,v,w)),singleton_set(x)). % 299.97/300.39 25399[0:Res:1544.2,1014.0] || member(u,image(v,w)) subset(v,converse(cross_product(x,y)))* -> member(first(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w))))),x)*. % 299.97/300.39 25398[0:Res:1544.2,1015.0] || member(u,image(v,w)) subset(v,converse(cross_product(x,y)))* -> member(second(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w))))),y)*. % 299.97/300.39 25771[3:Res:1344.1,6176.0] || member(u,image(v,cross_product(converse(w),x))) -> ordered_pair_predicate(ordered_pair(second(first(f22(u,v,cross_product(converse(w),x)))),first(first(f22(u,v,cross_product(converse(w),x))))))*. % 299.97/300.39 25908[3:Res:1555.1,6176.0] || member(u,image(intersection(converse(v),w),x)) -> ordered_pair_predicate(ordered_pair(second(first(f22(u,intersection(converse(v),w),x))),first(first(f22(u,intersection(converse(v),w),x)))))*. % 299.97/300.39 26065[3:Res:1556.1,6176.0] || member(u,image(intersection(v,converse(w)),x)) -> ordered_pair_predicate(ordered_pair(second(first(f22(u,intersection(v,converse(w)),x))),first(first(f22(u,intersection(v,converse(w)),x)))))*. % 299.97/300.39 26135[3:Res:1280.1,6176.0] || member(u,apply(cross_product(v,converse(w)),x)) -> ordered_pair_predicate(ordered_pair(second(second(f28(u,cross_product(v,converse(w)),x))),first(second(f28(u,cross_product(v,converse(w)),x)))))*. % 299.97/300.39 26693[0:Res:1080.2,1562.1] little_set(second(f28(u,v,w))) || equal(second(f28(u,v,w)),non_ordered_pair(x,y))* member(u,apply(v,w)) -> member(u,sigma(ordered_pair(x,y)))*. % 299.97/300.39 27074[0:Res:1549.1,314.0] || member(u,image(cross_product(intersection(complement(v),complement(w)),x),y)) member(first(first(f22(u,cross_product(intersection(complement(v),complement(w)),x),y))),union(v,w))* -> . % 299.97/300.39 27219[0:Res:1550.1,314.0] || member(u,image(cross_product(v,intersection(complement(w),complement(x))),y)) member(second(first(f22(u,cross_product(v,intersection(complement(w),complement(x))),y))),union(w,x))* -> . % 299.97/300.39 28544[0:Res:963.2,3811.0] || member(u,range_of(v)) subset(v,w) -> equal(x,f27(u,v)) member(f1(x,f27(u,v)),x)* member(f1(x,f27(u,v)),sigma(w))*. % 299.97/300.39 28542[0:Res:964.2,3811.0] || member(u,sigma(v)) subset(v,w) -> equal(x,f16(u,v)) member(f1(x,f16(u,v)),x)* member(f1(x,f16(u,v)),sigma(w))*. % 299.97/300.39 28540[0:Res:965.2,3811.0] || member(u,domain_of(v)) subset(v,w) -> equal(x,f8(u,v)) member(f1(x,f8(u,v)),x)* member(f1(x,f8(u,v)),sigma(w))*. % 299.97/300.39 28535[0:Res:93.1,3811.0] || member(u,image(v,w)) -> equal(x,f22(u,v,w)) member(f1(x,f22(u,v,w)),x)* member(f1(x,f22(u,v,w)),sigma(w))*. % 299.97/300.39 28517[0:Res:118.1,3811.0] || member(u,apply(v,w)) -> equal(x,f28(u,v,w)) member(f1(x,f28(u,v,w)),x)* member(f1(x,f28(u,v,w)),sigma(v))*. % 299.97/300.39 28409[0:Res:378.3,3811.0] ordered_pair_predicate(u) || member(second(u),v) member(first(u),w) -> equal(x,u) member(f1(x,u),x)* member(f1(x,u),sigma(cross_product(w,v)))*. % 299.97/300.39 28921[0:Res:963.2,3829.0] || member(u,range_of(v)) subset(v,w) -> equal(f27(u,v),x) member(f1(f27(u,v),x),x)* member(f1(f27(u,v),x),sigma(w))*. % 299.97/300.39 28919[0:Res:964.2,3829.0] || member(u,sigma(v)) subset(v,w) -> equal(f16(u,v),x) member(f1(f16(u,v),x),x)* member(f1(f16(u,v),x),sigma(w))*. % 299.97/300.39 28917[0:Res:965.2,3829.0] || member(u,domain_of(v)) subset(v,w) -> equal(f8(u,v),x) member(f1(f8(u,v),x),x)* member(f1(f8(u,v),x),sigma(w))*. % 299.97/300.39 28912[0:Res:93.1,3829.0] || member(u,image(v,w)) -> equal(f22(u,v,w),x) member(f1(f22(u,v,w),x),x)* member(f1(f22(u,v,w),x),sigma(w))*. % 299.97/300.39 28894[0:Res:118.1,3829.0] || member(u,apply(v,w)) -> equal(f28(u,v,w),x) member(f1(f28(u,v,w),x),x)* member(f1(f28(u,v,w),x),sigma(v))*. % 299.97/300.39 28786[0:Res:378.3,3829.0] ordered_pair_predicate(u) || member(second(u),v) member(first(u),w) -> equal(u,x) member(f1(u,x),x)* member(f1(u,x),sigma(cross_product(w,v)))*. % 299.97/300.39 29851[0:Res:1544.2,5019.1] || member(u,image(v,w)) subset(v,f4(x,y))* member(x,first(y)) equal(z,y)* -> member(first(f22(u,v,w)),first(z))*. % 299.97/300.39 29843[0:Res:557.1,5019.1] || member(u,range_of(cross_product(f4(v,w),x))) member(v,first(w)) equal(y,w) -> member(first(f27(u,cross_product(f4(v,w),x))),first(y))*. % 299.97/300.39 29842[0:Res:558.1,5019.1] || member(u,sigma(cross_product(f4(v,w),x))) member(v,first(w)) equal(y,w) -> member(first(f16(u,cross_product(f4(v,w),x))),first(y))*. % 299.97/300.39 29806[0:Res:545.1,5019.1] || member(u,sigma(cross_product(v,f4(w,x)))) member(w,first(x)) equal(y,x) -> member(second(f16(u,cross_product(v,f4(w,x)))),first(y))*. % 299.97/300.39 29805[0:Res:546.1,5019.1] || member(u,domain_of(cross_product(v,f4(w,x)))) member(w,first(x)) equal(y,x) -> member(second(f8(u,cross_product(v,f4(w,x)))),first(y))*. % 299.97/300.39 29793[0:Res:6.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(x,f4(u,v)) member(f1(x,f4(u,v)),x)* member(f1(x,f4(u,v)),first(w))*. % 299.97/300.39 29760[0:Res:6.2,5019.1] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),x) member(f1(f4(u,v),x),x)* member(f1(f4(u,v),x),first(w))*. % 299.97/300.39 30264[0:Res:1544.2,5020.1] || member(u,image(v,w)) subset(v,f6(x,y))* member(x,second(y)) equal(z,y)* -> member(first(f22(u,v,w)),first(z))*. % 299.97/300.39 30256[0:Res:557.1,5020.1] || member(u,range_of(cross_product(f6(v,w),x))) member(v,second(w)) equal(y,w) -> member(first(f27(u,cross_product(f6(v,w),x))),first(y))*. % 299.97/300.39 30255[0:Res:558.1,5020.1] || member(u,sigma(cross_product(f6(v,w),x))) member(v,second(w)) equal(y,w) -> member(first(f16(u,cross_product(f6(v,w),x))),first(y))*. % 299.97/300.39 30219[0:Res:545.1,5020.1] || member(u,sigma(cross_product(v,f6(w,x)))) member(w,second(x)) equal(y,x) -> member(second(f16(u,cross_product(v,f6(w,x)))),first(y))*. % 299.97/300.39 30218[0:Res:546.1,5020.1] || member(u,domain_of(cross_product(v,f6(w,x)))) member(w,second(x)) equal(y,x) -> member(second(f8(u,cross_product(v,f6(w,x)))),first(y))*. % 299.97/300.39 30206[0:Res:6.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(x,f6(u,v)) member(f1(x,f6(u,v)),x)* member(f1(x,f6(u,v)),first(w))*. % 299.97/300.39 30173[0:Res:6.2,5020.1] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),x) member(f1(f6(u,v),x),x)* member(f1(f6(u,v),x),first(w))*. % 299.97/300.39 30375[0:Res:1544.2,5022.1] || member(u,image(v,w)) subset(v,f9(x,y))* member(x,rotate_right(y)) equal(z,x)* -> member(first(f22(u,v,w)),first(z))*. % 299.97/300.39 30367[0:Res:557.1,5022.1] || member(u,range_of(cross_product(f9(v,w),x))) member(v,rotate_right(w)) equal(y,v) -> member(first(f27(u,cross_product(f9(v,w),x))),first(y))*. % 299.97/300.39 30366[0:Res:558.1,5022.1] || member(u,sigma(cross_product(f9(v,w),x))) member(v,rotate_right(w)) equal(y,v) -> member(first(f16(u,cross_product(f9(v,w),x))),first(y))*. % 299.97/300.39 30330[0:Res:545.1,5022.1] || member(u,sigma(cross_product(v,f9(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(second(f16(u,cross_product(v,f9(w,x)))),first(y))*. % 299.97/300.39 30329[0:Res:546.1,5022.1] || member(u,domain_of(cross_product(v,f9(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(second(f8(u,cross_product(v,f9(w,x)))),first(y))*. % 299.97/300.39 30317[0:Res:6.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(x,f9(u,v)) member(f1(x,f9(u,v)),x)* member(f1(x,f9(u,v)),first(w))*. % 299.97/300.39 30284[0:Res:6.2,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),x) member(f1(f9(u,v),x),x)* member(f1(f9(u,v),x),first(w))*. % 299.97/300.39 30518[0:Res:1544.2,5024.1] || member(u,image(v,w)) subset(v,f12(x,y))* member(x,flip_range_of(y)) equal(z,x)* -> member(first(f22(u,v,w)),first(z))*. % 299.97/300.39 30510[0:Res:557.1,5024.1] || member(u,range_of(cross_product(f12(v,w),x))) member(v,flip_range_of(w)) equal(y,v) -> member(first(f27(u,cross_product(f12(v,w),x))),first(y))*. % 299.97/300.39 30509[0:Res:558.1,5024.1] || member(u,sigma(cross_product(f12(v,w),x))) member(v,flip_range_of(w)) equal(y,v) -> member(first(f16(u,cross_product(f12(v,w),x))),first(y))*. % 299.97/300.39 30473[0:Res:545.1,5024.1] || member(u,sigma(cross_product(v,f12(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(second(f16(u,cross_product(v,f12(w,x)))),first(y))*. % 299.97/300.39 30472[0:Res:546.1,5024.1] || member(u,domain_of(cross_product(v,f12(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(second(f8(u,cross_product(v,f12(w,x)))),first(y))*. % 299.97/300.39 30460[0:Res:6.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(x,f12(u,v)) member(f1(x,f12(u,v)),x)* member(f1(x,f12(u,v)),first(w))*. % 299.97/300.39 30427[0:Res:6.2,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),x) member(f1(f12(u,v),x),x)* member(f1(f12(u,v),x),first(w))*. % 299.97/300.39 30671[0:Res:1544.2,5064.1] || member(u,image(v,w)) subset(v,f5(x,y))* member(x,first(y)) equal(z,y)* -> member(first(f22(u,v,w)),second(z))*. % 299.97/300.39 30663[0:Res:557.1,5064.1] || member(u,range_of(cross_product(f5(v,w),x))) member(v,first(w)) equal(y,w) -> member(first(f27(u,cross_product(f5(v,w),x))),second(y))*. % 299.97/300.39 30662[0:Res:558.1,5064.1] || member(u,sigma(cross_product(f5(v,w),x))) member(v,first(w)) equal(y,w) -> member(first(f16(u,cross_product(f5(v,w),x))),second(y))*. % 299.97/300.39 30626[0:Res:545.1,5064.1] || member(u,sigma(cross_product(v,f5(w,x)))) member(w,first(x)) equal(y,x) -> member(second(f16(u,cross_product(v,f5(w,x)))),second(y))*. % 299.97/300.39 30625[0:Res:546.1,5064.1] || member(u,domain_of(cross_product(v,f5(w,x)))) member(w,first(x)) equal(y,x) -> member(second(f8(u,cross_product(v,f5(w,x)))),second(y))*. % 299.97/300.39 30613[0:Res:6.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(x,f5(u,v)) member(f1(x,f5(u,v)),x)* member(f1(x,f5(u,v)),second(w))*. % 299.97/300.39 30580[0:Res:6.2,5064.1] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),x) member(f1(f5(u,v),x),x)* member(f1(f5(u,v),x),second(w))*. % 299.97/300.39 30828[0:Res:1544.2,5065.1] || member(u,image(v,w)) subset(v,f7(x,y))* member(x,second(y)) equal(z,y)* -> member(first(f22(u,v,w)),second(z))*. % 299.97/300.39 30820[0:Res:557.1,5065.1] || member(u,range_of(cross_product(f7(v,w),x))) member(v,second(w)) equal(y,w) -> member(first(f27(u,cross_product(f7(v,w),x))),second(y))*. % 299.97/300.39 30819[0:Res:558.1,5065.1] || member(u,sigma(cross_product(f7(v,w),x))) member(v,second(w)) equal(y,w) -> member(first(f16(u,cross_product(f7(v,w),x))),second(y))*. % 299.97/300.39 30783[0:Res:545.1,5065.1] || member(u,sigma(cross_product(v,f7(w,x)))) member(w,second(x)) equal(y,x) -> member(second(f16(u,cross_product(v,f7(w,x)))),second(y))*. % 299.97/300.39 30782[0:Res:546.1,5065.1] || member(u,domain_of(cross_product(v,f7(w,x)))) member(w,second(x)) equal(y,x) -> member(second(f8(u,cross_product(v,f7(w,x)))),second(y))*. % 299.97/300.39 30770[0:Res:6.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(x,f7(u,v)) member(f1(x,f7(u,v)),x)* member(f1(x,f7(u,v)),second(w))*. % 299.97/300.39 30737[0:Res:6.2,5065.1] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),x) member(f1(f7(u,v),x),x)* member(f1(f7(u,v),x),second(w))*. % 299.97/300.39 32204[0:Res:1008.2,5063.1] ordered_pair_predicate(u) || member(v,range_of(w)) member(f27(v,w),converse(f3(u)))* equal(x,u)* -> member(ordered_pair(v,first(f27(v,w))),second(x))*. % 299.97/300.39 32203[0:Res:1008.2,5018.1] ordered_pair_predicate(u) || member(v,range_of(w)) member(f27(v,w),converse(f2(u)))* equal(x,u)* -> member(ordered_pair(v,first(f27(v,w))),first(x))*. % 299.97/300.39 32158[3:Res:1008.2,6176.0] || member(u,range_of(v)) member(f27(u,v),converse(converse(w)))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))))*. % 299.97/300.39 32375[0:Res:1007.2,5063.1] ordered_pair_predicate(u) || member(v,domain_of(w)) member(f8(v,w),converse(f3(u)))* equal(x,u)* -> member(ordered_pair(second(f8(v,w)),v),second(x))*. % 299.97/300.39 32374[0:Res:1007.2,5018.1] ordered_pair_predicate(u) || member(v,domain_of(w)) member(f8(v,w),converse(f2(u)))* equal(x,u)* -> member(ordered_pair(second(f8(v,w)),v),first(x))*. % 299.97/300.39 32329[3:Res:1007.2,6176.0] || member(u,domain_of(v)) member(f8(u,v),converse(converse(w)))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))))*. % 299.97/300.39 32423[0:Res:5054.3,4119.1] little_set(u) little_set(v) || member(ordered_pair(w,first(f27(w,x))),u)* member(w,range_of(x)) -> member(f27(w,x),converse(second(ordered_pair(v,u))))*. % 299.97/300.39 32422[0:Res:5009.3,4119.1] little_set(u) little_set(v) || member(ordered_pair(w,first(f27(w,x))),v)* member(w,range_of(x)) -> member(f27(w,x),converse(first(ordered_pair(v,u))))*. % 299.97/300.39 32505[0:Res:5054.3,4120.1] little_set(u) little_set(v) || member(ordered_pair(second(f8(w,x)),w),u)* member(w,domain_of(x)) -> member(f8(w,x),converse(second(ordered_pair(v,u))))*. % 299.97/300.39 32504[0:Res:5009.3,4120.1] little_set(u) little_set(v) || member(ordered_pair(second(f8(w,x)),w),v)* member(w,domain_of(x)) -> member(f8(w,x),converse(first(ordered_pair(v,u))))*. % 299.97/300.39 32819[0:Res:3836.2,547.0] || -> equal(cross_product(u,range_of(cross_product(v,w))),x) member(f1(cross_product(u,range_of(cross_product(v,w))),x),x)* member(second(f1(cross_product(u,range_of(cross_product(v,w))),x)),w)*. % 299.97/300.39 32817[0:Res:3836.2,560.0] || -> equal(cross_product(u,domain_of(cross_product(v,w))),x) member(f1(cross_product(u,domain_of(cross_product(v,w))),x),x)* member(second(f1(cross_product(u,domain_of(cross_product(v,w))),x)),v)*. % 299.97/300.39 32802[0:Res:3836.2,4238.0] || equal(u,second(f1(cross_product(v,compose(w,x)),y)))* -> equal(cross_product(v,compose(w,x)),y) member(f1(cross_product(v,compose(w,x)),y),y)* ordered_pair_predicate(u)*. % 299.97/300.39 32761[0:Res:3836.1,547.0] || -> equal(cross_product(u,v),range_of(cross_product(w,x))) member(second(f1(cross_product(u,v),range_of(cross_product(w,x)))),v)* member(f1(cross_product(u,v),range_of(cross_product(w,x))),x)*. % 299.97/300.39 32759[0:Res:3836.1,560.0] || -> equal(cross_product(u,v),domain_of(cross_product(w,x))) member(second(f1(cross_product(u,v),domain_of(cross_product(w,x)))),v)* member(f1(cross_product(u,v),domain_of(cross_product(w,x))),w)*. % 299.97/300.39 32984[0:Res:3835.2,547.0] || -> equal(cross_product(range_of(cross_product(u,v)),w),x) member(f1(cross_product(range_of(cross_product(u,v)),w),x),x)* member(first(f1(cross_product(range_of(cross_product(u,v)),w),x)),v)*. % 299.97/300.39 32982[0:Res:3835.2,560.0] || -> equal(cross_product(domain_of(cross_product(u,v)),w),x) member(f1(cross_product(domain_of(cross_product(u,v)),w),x),x)* member(first(f1(cross_product(domain_of(cross_product(u,v)),w),x)),u)*. % 299.97/300.39 32967[0:Res:3835.2,4238.0] || equal(u,first(f1(cross_product(compose(v,w),x),y)))* -> equal(cross_product(compose(v,w),x),y) member(f1(cross_product(compose(v,w),x),y),y)* ordered_pair_predicate(u)*. % 299.97/300.39 32926[0:Res:3835.1,547.0] || -> equal(cross_product(u,v),range_of(cross_product(w,x))) member(first(f1(cross_product(u,v),range_of(cross_product(w,x)))),u)* member(f1(cross_product(u,v),range_of(cross_product(w,x))),x)*. % 299.97/300.39 32924[0:Res:3835.1,560.0] || -> equal(cross_product(u,v),domain_of(cross_product(w,x))) member(first(f1(cross_product(u,v),domain_of(cross_product(w,x)))),u)* member(f1(cross_product(u,v),domain_of(cross_product(w,x))),w)*. % 299.97/300.39 33155[0:Res:3818.2,547.0] || -> equal(u,cross_product(v,range_of(cross_product(w,x)))) member(f1(u,cross_product(v,range_of(cross_product(w,x)))),u)* member(second(f1(u,cross_product(v,range_of(cross_product(w,x))))),x)*. % 299.97/300.39 33153[0:Res:3818.2,560.0] || -> equal(u,cross_product(v,domain_of(cross_product(w,x)))) member(f1(u,cross_product(v,domain_of(cross_product(w,x)))),u)* member(second(f1(u,cross_product(v,domain_of(cross_product(w,x))))),w)*. % 299.97/300.39 33138[0:Res:3818.2,4238.0] || equal(u,second(f1(v,cross_product(w,compose(x,y)))))* -> equal(v,cross_product(w,compose(x,y))) member(f1(v,cross_product(w,compose(x,y))),v)* ordered_pair_predicate(u)*. % 299.97/300.39 33097[0:Res:3818.1,547.0] || -> equal(range_of(cross_product(u,v)),cross_product(w,x)) member(second(f1(range_of(cross_product(u,v)),cross_product(w,x))),x)* member(f1(range_of(cross_product(u,v)),cross_product(w,x)),v)*. % 299.97/300.39 33095[0:Res:3818.1,560.0] || -> equal(domain_of(cross_product(u,v)),cross_product(w,x)) member(second(f1(domain_of(cross_product(u,v)),cross_product(w,x))),x)* member(f1(domain_of(cross_product(u,v)),cross_product(w,x)),u)*. % 299.97/300.39 33321[0:Res:3817.2,547.0] || -> equal(u,cross_product(range_of(cross_product(v,w)),x)) member(f1(u,cross_product(range_of(cross_product(v,w)),x)),u)* member(first(f1(u,cross_product(range_of(cross_product(v,w)),x))),w)*. % 299.97/300.39 33319[0:Res:3817.2,560.0] || -> equal(u,cross_product(domain_of(cross_product(v,w)),x)) member(f1(u,cross_product(domain_of(cross_product(v,w)),x)),u)* member(first(f1(u,cross_product(domain_of(cross_product(v,w)),x))),v)*. % 299.97/300.39 33304[0:Res:3817.2,4238.0] || equal(u,first(f1(v,cross_product(compose(w,x),y))))* -> equal(v,cross_product(compose(w,x),y)) member(f1(v,cross_product(compose(w,x),y)),v)* ordered_pair_predicate(u)*. % 299.97/300.39 33263[0:Res:3817.1,547.0] || -> equal(range_of(cross_product(u,v)),cross_product(w,x)) member(first(f1(range_of(cross_product(u,v)),cross_product(w,x))),w)* member(f1(range_of(cross_product(u,v)),cross_product(w,x)),v)*. % 299.97/300.39 33261[0:Res:3817.1,560.0] || -> equal(domain_of(cross_product(u,v)),cross_product(w,x)) member(first(f1(domain_of(cross_product(u,v)),cross_product(w,x))),w)* member(f1(domain_of(cross_product(u,v)),cross_product(w,x)),u)*. % 299.97/300.39 33587[0:Res:960.2,1441.0] || member(u,infinity) subset(infinity,converse(non_ordered_pair(v,w)))* -> equal(ordered_pair(second(successor(u)),first(successor(u))),w)* equal(ordered_pair(second(successor(u)),first(successor(u))),v)*. % 299.97/300.39 33825[0:SSi:33804.0,371.0] || equal(ordered_pair(f31(u,v,complement(ordered_pair(w,x))),f30(u,v,complement(ordered_pair(w,x)))),non_ordered_pair(w,x))** member(u,compose(v,complement(ordered_pair(w,x)))) -> . % 299.97/300.39 33913[0:SSi:33892.0,371.0] || equal(ordered_pair(f29(u,complement(ordered_pair(v,w)),x),f31(u,complement(ordered_pair(v,w)),x)),non_ordered_pair(v,w))** member(u,compose(complement(ordered_pair(v,w)),x)) -> . % 299.97/300.39 34533[0:Res:1159.2,1438.0] || member(u,range_of(v)) member(v,non_ordered_pair(w,x)) -> equal(f16(f27(u,v),non_ordered_pair(w,x)),x)** equal(f16(f27(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34532[0:Res:1160.2,1438.0] || member(u,sigma(v)) member(v,non_ordered_pair(w,x)) -> equal(f16(f16(u,v),non_ordered_pair(w,x)),x)** equal(f16(f16(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34531[0:Res:1161.2,1438.0] || member(u,domain_of(v)) member(v,non_ordered_pair(w,x)) -> equal(f16(f8(u,v),non_ordered_pair(w,x)),x)** equal(f16(f8(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34789[0:MRR:34758.0,213.1] || equal(f17(u,intersection(v,ordered_pair(w,x))),non_ordered_pair(w,x)) member(f17(u,intersection(v,ordered_pair(w,x))),v)* -> subset(u,intersection(v,ordered_pair(w,x))). % 299.97/300.39 34861[0:MRR:34842.0,5.0] || equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),non_ordered_pair(u,v))** equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),x)** -> equal(ordered_pair(u,v),non_ordered_pair(w,x)). % 299.97/300.39 34929[0:MRR:34910.0,5.0] || equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),non_ordered_pair(u,v))** equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),w)** -> equal(ordered_pair(u,v),non_ordered_pair(w,x)). % 299.97/300.39 35086[0:Res:4115.1,5025.1] ordered_pair_predicate(u) || member(v,compose(w,x)) equal(y,v)* -> member(u,converse(complement(f29(v,w,x))))* member(ordered_pair(second(u),first(u)),first(y))*. % 299.97/300.39 35073[0:Res:281.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,intersection(z,f29(u,v,w))) member(f23(y,intersection(z,f29(u,v,w))),first(x))*. % 299.97/300.39 35069[0:Res:93.1,5025.1] || member(u,image(v,f29(w,x,y))) member(w,compose(x,y)) equal(z,w) -> member(f22(u,v,f29(w,x,y)),first(z))*. % 299.97/300.39 35047[0:Res:118.1,5025.1] || member(u,apply(f29(v,w,x),y)) member(v,compose(w,x)) equal(z,v) -> member(f28(u,f29(v,w,x),y),first(z))*. % 299.97/300.39 35040[0:Res:278.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> subset(intersection(y,f29(u,v,w)),z) member(f17(intersection(y,f29(u,v,w)),z),first(x))*. % 299.97/300.39 35037[0:Res:277.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(intersection(y,f29(u,v,w)),z) member(f23(intersection(y,f29(u,v,w)),z),first(x))*. % 299.97/300.39 35035[0:Res:289.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,intersection(f29(u,v,w),z)) member(f23(y,intersection(f29(u,v,w),z)),first(x))*. % 299.97/300.39 35007[0:Res:86.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(f29(u,v,w)) member(ordered_pair(f19(f29(u,v,w)),f20(f29(u,v,w))),first(x))*. % 299.97/300.39 35006[0:Res:87.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(f29(u,v,w)) member(ordered_pair(f19(f29(u,v,w)),f21(f29(u,v,w))),first(x))*. % 299.97/300.39 35005[0:Res:285.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(intersection(f29(u,v,w),y),z) member(f23(intersection(f29(u,v,w),y),z),first(x))*. % 299.97/300.39 35003[0:Res:286.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> subset(intersection(f29(u,v,w),y),z) member(f17(intersection(f29(u,v,w),y),z),first(x))*. % 299.97/300.39 35256[0:Res:4115.1,5066.1] ordered_pair_predicate(u) || member(v,compose(w,x)) equal(y,v)* -> member(u,converse(complement(f30(v,w,x))))* member(ordered_pair(second(u),first(u)),second(y))*. % 299.97/300.39 35243[0:Res:281.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,intersection(z,f30(u,v,w))) member(f23(y,intersection(z,f30(u,v,w))),second(x))*. % 299.97/300.39 35239[0:Res:93.1,5066.1] || member(u,image(v,f30(w,x,y))) member(w,compose(x,y)) equal(z,w) -> member(f22(u,v,f30(w,x,y)),second(z))*. % 299.97/300.39 35217[0:Res:118.1,5066.1] || member(u,apply(f30(v,w,x),y)) member(v,compose(w,x)) equal(z,v) -> member(f28(u,f30(v,w,x),y),second(z))*. % 299.97/300.39 35210[0:Res:278.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> subset(intersection(y,f30(u,v,w)),z) member(f17(intersection(y,f30(u,v,w)),z),second(x))*. % 299.97/300.39 35207[0:Res:277.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(intersection(y,f30(u,v,w)),z) member(f23(intersection(y,f30(u,v,w)),z),second(x))*. % 299.97/300.39 35205[0:Res:289.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,intersection(f30(u,v,w),z)) member(f23(y,intersection(f30(u,v,w),z)),second(x))*. % 299.97/300.39 35177[0:Res:86.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(f30(u,v,w)) member(ordered_pair(f19(f30(u,v,w)),f20(f30(u,v,w))),second(x))*. % 299.97/300.39 35176[0:Res:87.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(f30(u,v,w)) member(ordered_pair(f19(f30(u,v,w)),f21(f30(u,v,w))),second(x))*. % 299.97/300.39 35175[0:Res:285.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(intersection(f30(u,v,w),y),z) member(f23(intersection(f30(u,v,w),y),z),second(x))*. % 299.97/300.39 35173[0:Res:286.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> subset(intersection(f30(u,v,w),y),z) member(f17(intersection(f30(u,v,w),y),z),second(x))*. % 299.97/300.39 36369[0:MRR:36368.0,37.1] little_set(u) || member(second(f8(v,w)),x)* member(v,y)* member(v,domain_of(w)) equal(u,v)* -> member(u,domain_of(cross_product(y,x)))*. % 299.97/300.39 36530[0:MRR:36529.0,106.1] little_set(u) || member(v,w)* member(first(f27(v,x)),y)* member(v,range_of(x)) equal(u,v)* -> member(u,range_of(cross_product(y,w)))*. % 299.97/300.39 36584[0:Res:4622.2,314.0] || member(u,flip_range_of(v)) subset(v,intersection(complement(w),complement(x))) member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),union(w,x))* -> . % 299.97/300.39 37012[0:Res:4770.2,314.0] || member(u,rotate_right(v)) subset(v,intersection(complement(w),complement(x))) member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),union(w,x))* -> . % 299.97/300.39 38405[0:MRR:38404.0,117.1] || member(second(f28(u,v,w)),x)* member(w,y)* member(u,apply(v,w)) equal(w,z)* -> member(u,apply(cross_product(y,x),z))*. % 299.97/300.39 38686[3:Rew:108.1,38663.3] || member(u,range_of(v)) member(f27(u,v),w)* equal(first(f27(u,v)),x)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),apply(w,x))*. % 299.97/300.39 38756[3:Rew:108.1,38733.3] || member(u,range_of(v)) member(f27(u,v),w)* equal(first(f27(u,v)),x)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),apply(w,x))*. % 299.97/300.39 38851[0:Res:1079.2,4457.3] little_set(cross_product(u,v)) ordered_pair_predicate(w) || equal(cross_product(u,v),x)* member(second(w),v)* member(first(w),u)* -> member(w,sigma(singleton_set(x)))*. % 299.97/300.39 38850[0:Res:77.2,4457.3] little_set(cross_product(u,v)) ordered_pair_predicate(w) || subset(cross_product(u,v),x)* member(second(w),v)* member(first(w),u)* -> member(w,sigma(powerset(x)))*. % 299.97/300.39 40258[0:Res:957.2,5068.1] || subset(u,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),second(x))*. % 299.97/300.39 40257[0:Res:956.2,5068.1] || subset(u,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),second(x))*. % 299.97/300.39 40438[0:Res:957.2,5070.1] || subset(u,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),second(x))*. % 299.97/300.39 40437[0:Res:956.2,5070.1] || subset(u,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),second(x))*. % 299.97/300.39 41251[0:Res:4286.1,282.0] || member(u,compose(v,intersection(w,restrict(x,y)))) -> member(ordered_pair(f31(u,v,intersection(w,restrict(x,y))),f30(u,v,intersection(w,restrict(x,y)))),x)*. % 299.97/300.39 41249[0:Res:4286.1,15955.0] || member(u,compose(v,intersection(w,sigma(powerset(x))))) -> member(ordered_pair(f31(u,v,intersection(w,sigma(powerset(x)))),f30(u,v,intersection(w,sigma(powerset(x))))),x)*. % 299.97/300.39 41245[0:Res:4286.1,32.0] || member(u,compose(v,intersection(w,intersection(x,y)))) -> member(ordered_pair(f31(u,v,intersection(w,intersection(x,y))),f30(u,v,intersection(w,intersection(x,y)))),y)*. % 299.97/300.39 41244[0:Res:4286.1,31.0] || member(u,compose(v,intersection(w,intersection(x,y)))) -> member(ordered_pair(f31(u,v,intersection(w,intersection(x,y))),f30(u,v,intersection(w,intersection(x,y)))),x)*. % 299.97/300.39 41235[0:Res:4286.1,10964.0] || member(u,compose(v,intersection(w,complement(complement(x))))) -> member(ordered_pair(f31(u,v,intersection(w,complement(complement(x)))),f30(u,v,intersection(w,complement(complement(x))))),x)*. % 299.97/300.39 41220[0:Res:4286.1,4578.0] || member(u,compose(v,intersection(w,rotate_right(x)))) equal(y,ordered_pair(f31(u,v,intersection(w,rotate_right(x))),f30(u,v,intersection(w,rotate_right(x)))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 41217[0:Res:4286.1,4549.0] || member(u,compose(v,intersection(w,flip_range_of(x)))) equal(y,ordered_pair(f31(u,v,intersection(w,flip_range_of(x))),f30(u,v,intersection(w,flip_range_of(x)))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 41490[0:Res:4285.1,282.0] || member(u,compose(v,intersection(restrict(w,x),y))) -> member(ordered_pair(f31(u,v,intersection(restrict(w,x),y)),f30(u,v,intersection(restrict(w,x),y))),w)*. % 299.97/300.39 41488[0:Res:4285.1,15955.0] || member(u,compose(v,intersection(sigma(powerset(w)),x))) -> member(ordered_pair(f31(u,v,intersection(sigma(powerset(w)),x)),f30(u,v,intersection(sigma(powerset(w)),x))),w)*. % 299.97/300.39 41484[0:Res:4285.1,32.0] || member(u,compose(v,intersection(intersection(w,x),y))) -> member(ordered_pair(f31(u,v,intersection(intersection(w,x),y)),f30(u,v,intersection(intersection(w,x),y))),x)*. % 299.97/300.39 41483[0:Res:4285.1,31.0] || member(u,compose(v,intersection(intersection(w,x),y))) -> member(ordered_pair(f31(u,v,intersection(intersection(w,x),y)),f30(u,v,intersection(intersection(w,x),y))),w)*. % 299.97/300.39 41474[0:Res:4285.1,10964.0] || member(u,compose(v,intersection(complement(complement(w)),x))) -> member(ordered_pair(f31(u,v,intersection(complement(complement(w)),x)),f30(u,v,intersection(complement(complement(w)),x))),w)*. % 299.97/300.39 41459[0:Res:4285.1,4578.0] || member(u,compose(v,intersection(rotate_right(w),x))) equal(y,ordered_pair(f31(u,v,intersection(rotate_right(w),x)),f30(u,v,intersection(rotate_right(w),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 41456[0:Res:4285.1,4549.0] || member(u,compose(v,intersection(flip_range_of(w),x))) equal(y,ordered_pair(f31(u,v,intersection(flip_range_of(w),x)),f30(u,v,intersection(flip_range_of(w),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 41628[0:Res:4361.1,282.0] || member(u,compose(intersection(v,restrict(w,x)),y)) -> member(ordered_pair(f29(u,intersection(v,restrict(w,x)),y),f31(u,intersection(v,restrict(w,x)),y)),w)*. % 299.97/300.39 41626[0:Res:4361.1,15955.0] || member(u,compose(intersection(v,sigma(powerset(w))),x)) -> member(ordered_pair(f29(u,intersection(v,sigma(powerset(w))),x),f31(u,intersection(v,sigma(powerset(w))),x)),w)*. % 299.97/300.39 41622[0:Res:4361.1,32.0] || member(u,compose(intersection(v,intersection(w,x)),y)) -> member(ordered_pair(f29(u,intersection(v,intersection(w,x)),y),f31(u,intersection(v,intersection(w,x)),y)),x)*. % 299.97/300.39 41621[0:Res:4361.1,31.0] || member(u,compose(intersection(v,intersection(w,x)),y)) -> member(ordered_pair(f29(u,intersection(v,intersection(w,x)),y),f31(u,intersection(v,intersection(w,x)),y)),w)*. % 299.97/300.39 41612[0:Res:4361.1,10964.0] || member(u,compose(intersection(v,complement(complement(w))),x)) -> member(ordered_pair(f29(u,intersection(v,complement(complement(w))),x),f31(u,intersection(v,complement(complement(w))),x)),w)*. % 299.97/300.39 41597[0:Res:4361.1,4578.0] || member(u,compose(intersection(v,rotate_right(w)),x)) equal(y,ordered_pair(f29(u,intersection(v,rotate_right(w)),x),f31(u,intersection(v,rotate_right(w)),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.39 41594[0:Res:4361.1,4549.0] || member(u,compose(intersection(v,flip_range_of(w)),x)) equal(y,ordered_pair(f29(u,intersection(v,flip_range_of(w)),x),f31(u,intersection(v,flip_range_of(w)),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.39 41750[0:Res:4360.1,282.0] || member(u,compose(intersection(restrict(v,w),x),y)) -> member(ordered_pair(f29(u,intersection(restrict(v,w),x),y),f31(u,intersection(restrict(v,w),x),y)),v)*. % 299.97/300.39 41748[0:Res:4360.1,15955.0] || member(u,compose(intersection(sigma(powerset(v)),w),x)) -> member(ordered_pair(f29(u,intersection(sigma(powerset(v)),w),x),f31(u,intersection(sigma(powerset(v)),w),x)),v)*. % 299.97/300.39 41744[0:Res:4360.1,32.0] || member(u,compose(intersection(intersection(v,w),x),y)) -> member(ordered_pair(f29(u,intersection(intersection(v,w),x),y),f31(u,intersection(intersection(v,w),x),y)),w)*. % 299.97/300.39 41743[0:Res:4360.1,31.0] || member(u,compose(intersection(intersection(v,w),x),y)) -> member(ordered_pair(f29(u,intersection(intersection(v,w),x),y),f31(u,intersection(intersection(v,w),x),y)),v)*. % 299.97/300.39 41734[0:Res:4360.1,10964.0] || member(u,compose(intersection(complement(complement(v)),w),x)) -> member(ordered_pair(f29(u,intersection(complement(complement(v)),w),x),f31(u,intersection(complement(complement(v)),w),x)),v)*. % 299.97/300.39 41719[0:Res:4360.1,4578.0] || member(u,compose(intersection(rotate_right(v),w),x)) equal(y,ordered_pair(f29(u,intersection(rotate_right(v),w),x),f31(u,intersection(rotate_right(v),w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.39 41716[0:Res:4360.1,4549.0] || member(u,compose(intersection(flip_range_of(v),w),x)) equal(y,ordered_pair(f29(u,intersection(flip_range_of(v),w),x),f31(u,intersection(flip_range_of(v),w),x)))* -> ordered_pair_predicate(y)*. % 299.97/300.39 42215[0:MRR:42187.0,1275.1] little_set(u) || member(v,apply(w,x)) equal(u,x)* -> member(f28(v,w,x),union(y,z))* member(u,domain_of(intersection(complement(y),complement(z))))*. % 299.97/300.39 42291[0:MRR:42263.0,1340.1] little_set(u) || member(v,image(w,x)) equal(u,v)* -> member(f22(v,w,x),union(y,z))* member(u,range_of(intersection(complement(y),complement(z))))*. % 299.97/300.39 42340[0:Res:4279.1,68.0] || member(u,compose(v,cross_product(w,x))) member(x,y) -> member(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),sigma(y))*. % 299.97/300.39 42339[0:Res:4279.1,98.0] || member(u,compose(v,cross_product(w,x))) member(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),y)* disjoint(y,x) -> . % 299.97/300.39 42451[0:Res:4278.1,68.0] || member(u,compose(v,cross_product(w,x))) member(w,y) -> member(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),sigma(y))*. % 299.97/300.39 42450[0:Res:4278.1,98.0] || member(u,compose(v,cross_product(w,x))) member(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),y)* disjoint(y,w) -> . % 299.97/300.39 42598[0:Res:4354.1,68.0] || member(u,compose(cross_product(v,w),x)) member(w,y) -> member(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),sigma(y))*. % 299.97/300.39 42597[0:Res:4354.1,98.0] || member(u,compose(cross_product(v,w),x)) member(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),y)* disjoint(y,w) -> . % 299.97/300.39 42740[0:Res:4353.1,68.0] || member(u,compose(cross_product(v,w),x)) member(v,y) -> member(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),sigma(y))*. % 299.97/300.39 42739[0:Res:4353.1,98.0] || member(u,compose(cross_product(v,w),x)) member(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),y)* disjoint(y,v) -> . % 299.97/300.39 42852[0:SpL:587.0,1442.0] || member(u,apply_to_two_arguments(non_ordered_pair(v,w),x,x))* -> equal(f28(u,non_ordered_pair(v,w),singleton_set(singleton_set(x))),w)** equal(f28(u,non_ordered_pair(v,w),singleton_set(singleton_set(x))),v)**. % 299.97/300.39 42851[0:SpL:122.0,1442.0] || member(u,apply_to_two_arguments(non_ordered_pair(v,w),x,y)) -> equal(f28(u,non_ordered_pair(v,w),ordered_pair(x,y)),w)** equal(f28(u,non_ordered_pair(v,w),ordered_pair(x,y)),v)**. % 299.97/300.39 43295[3:SSi:43279.0,18197.0,371.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),non_ordered_pair(v,w))* member(ordered_pair(second(u),first(u)),x)* -> member(u,converse(intersection(x,ordered_pair(v,w))))*. % 299.97/300.39 43361[0:Res:4108.2,70.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),apply(v,w)) subset(converse(second(f28(ordered_pair(second(u),first(u)),v,w))),x)* -> member(u,x). % 299.97/300.39 43543[0:Res:5356.4,70.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* subset(rotate_right(x),y)* -> member(ordered_pair(w,ordered_pair(v,u)),y)*. % 299.97/300.39 43568[0:MRR:43531.0,43531.1,132.1,131.1] little_set(u) || member(v,compose(w,x)) member(ordered_pair(f29(v,w,x),ordered_pair(f30(v,w,x),u)),y)* -> member(ordered_pair(u,v),rotate_right(y)). % 299.97/300.39 43612[14:Res:42571.1,1441.0] || subset(universal_set,converse(non_ordered_pair(u,v)))* -> equal(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),v)* equal(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),u)*. % 299.97/300.39 43708[0:Res:6051.4,70.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x)* subset(flip_range_of(x),y)* -> member(ordered_pair(w,ordered_pair(v,u)),y)*. % 299.97/300.39 43735[0:MRR:43696.0,43696.1,132.1,131.1] little_set(u) || member(v,compose(w,x)) member(ordered_pair(u,ordered_pair(f30(v,w,x),f29(v,w,x))),y)* -> member(ordered_pair(u,v),flip_range_of(y)). % 299.97/300.39 43820[3:Res:6214.3,70.0] || member(u,image(v,second(w))) member(w,x)* equal(first(w),y)* subset(apply(x,y),z)* -> member(f22(u,v,second(w)),z)*. % 299.97/300.39 43838[3:Obv:43826.1] little_set(u) || member(v,w)* equal(first(v),x)* member(y,image(z,second(v)))* equal(u,y)* -> member(u,range_of(apply(w,x)))*. % 299.97/300.39 43880[3:Res:6215.3,70.0] || member(u,apply(second(v),w)) member(v,x)* equal(first(v),y)* subset(apply(x,y),z)* -> member(f28(u,second(v),w),z)*. % 299.97/300.39 43900[3:Obv:43887.1] little_set(u) || member(v,w)* equal(first(v),x)* member(y,apply(second(v),z))* equal(u,z)* -> member(u,domain_of(apply(w,x)))*. % 299.97/300.39 43953[0:SpR:1432.2,1103.2] little_set(u) || equal(u,singleton_set(f19(non_ordered_pair(v,w))))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),w)** member(u,v)*. % 299.97/300.39 43951[0:SpR:1432.2,122.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v) equal(apply_to_two_arguments(w,f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),apply(w,u))**. % 299.97/300.39 43929[0:SpR:1432.1,1103.2] little_set(u) || equal(u,singleton_set(f19(non_ordered_pair(v,w))))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),v)** member(u,w)*. % 299.97/300.39 43927[0:SpR:1432.1,122.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u) equal(apply_to_two_arguments(w,f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),apply(w,v))**. % 299.97/300.39 44097[0:SpR:1433.2,1103.2] little_set(u) || equal(u,singleton_set(f19(non_ordered_pair(v,w))))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),w)** member(u,v)*. % 299.97/300.39 44095[0:SpR:1433.2,122.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v) equal(apply_to_two_arguments(w,f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),apply(w,u))**. % 299.97/300.39 44073[0:SpR:1433.1,1103.2] little_set(u) || equal(u,singleton_set(f19(non_ordered_pair(v,w))))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),v)** member(u,w)*. % 299.97/300.39 44071[0:SpR:1433.1,122.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u) equal(apply_to_two_arguments(w,f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),apply(w,v))**. % 299.97/300.39 44211[3:SpR:587.0,6216.3] || member(u,image(second(v),w)) member(v,x) equal(first(v),singleton_set(singleton_set(y))) -> member(first(f22(u,second(v),w)),apply_to_two_arguments(x,y,y))*. % 299.97/300.39 44210[3:SpR:122.0,6216.3] || member(u,image(second(v),w)) member(v,x) equal(first(v),ordered_pair(y,z)) -> member(first(f22(u,second(v),w)),apply_to_two_arguments(x,y,z))*. % 299.97/300.39 47212[7:Res:26830.1,1558.0] || disjoint(universal_set,complement(image(non_ordered_pair(u,v),w))) -> equal(first(f22(sigma(infinity),non_ordered_pair(u,v),w)),v)** equal(first(f22(sigma(infinity),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 47211[7:Res:26831.1,1558.0] || disjoint(complement(image(non_ordered_pair(u,v),w)),universal_set) -> equal(first(f22(sigma(infinity),non_ordered_pair(u,v),w)),v)** equal(first(f22(sigma(infinity),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 47210[7:Res:33376.1,1558.0] || member(universal_set,powerset(image(non_ordered_pair(u,v),w))) -> equal(first(f22(sigma(infinity),non_ordered_pair(u,v),w)),v)** equal(first(f22(sigma(infinity),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 59754[16:Rew:375.0,55219.1] || member(u,compose(v,powerset(cross_product(set_a,set_b)))) member(singleton_set(singleton_set(a)),ordered_pair(f31(u,v,powerset(cross_product(set_a,set_b))),f30(u,v,powerset(cross_product(set_a,set_b)))))* -> . % 299.97/300.39 59755[16:Rew:375.0,55220.1] || member(u,compose(powerset(cross_product(set_a,set_b)),v)) member(singleton_set(singleton_set(a)),ordered_pair(f29(u,powerset(cross_product(set_a,set_b)),v),f31(u,powerset(cross_product(set_a,set_b)),v)))* -> . % 299.97/300.39 55884[16:Rew:54986.0,48825.3] little_set(u) || subset(f25,converse(v))* member(v,w)* -> equal(u,a) member(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),sigma(w))*. % 299.97/300.39 55885[16:Rew:54986.0,48800.1] little_set(u) || -> equal(u,a) equal(v,ordered_pair(u,f26(u))) member(f1(v,ordered_pair(u,f26(u))),v)* member(f1(v,ordered_pair(u,f26(u))),sigma(f25))*. % 299.97/300.39 55886[16:Rew:54986.0,48785.1] little_set(u) || -> equal(u,a) equal(ordered_pair(u,f26(u)),v) member(f1(ordered_pair(u,f26(u)),v),v)* member(f1(ordered_pair(u,f26(u)),v),sigma(f25))*. % 299.97/300.39 55887[16:Rew:54986.0,48756.2] little_set(u) || subset(u,range_of(non_ordered_pair(v,w))) -> equal(u,a) equal(f27(f26(u),non_ordered_pair(v,w)),w)** equal(f27(f26(u),non_ordered_pair(v,w)),v)**. % 299.97/300.39 55888[16:Rew:54986.0,48751.2] little_set(u) || subset(u,sigma(non_ordered_pair(v,w))) -> equal(u,a) equal(f16(f26(u),non_ordered_pair(v,w)),w)** equal(f16(f26(u),non_ordered_pair(v,w)),v)**. % 299.97/300.39 55889[16:Rew:54986.0,48747.2] little_set(u) || subset(u,domain_of(non_ordered_pair(v,w))) -> equal(u,a) equal(f8(f26(u),non_ordered_pair(v,w)),w)** equal(f8(f26(u),non_ordered_pair(v,w)),v)**. % 299.97/300.39 55890[16:Rew:54986.0,48723.3] || subset(u,converse(second(v)))* member(v,w)* equal(first(v),x)* -> equal(u,a) member(ordered_pair(second(f24(u)),first(f24(u))),apply(w,x))*. % 299.97/300.39 55891[16:Rew:54986.0,48720.1] || subset(u,apply(non_ordered_pair(v,w),x)) -> equal(u,a) equal(f28(f24(u),non_ordered_pair(v,w),x),w)** equal(f28(f24(u),non_ordered_pair(v,w),x),v)**. % 299.97/300.39 55892[16:Rew:54986.0,48717.1] || subset(u,image(v,non_ordered_pair(w,x))) -> equal(u,a) equal(f22(f24(u),v,non_ordered_pair(w,x)),x)** equal(f22(f24(u),v,non_ordered_pair(w,x)),w)**. % 299.97/300.39 59756[16:Rew:54986.0,56652.2] || disjoint(universal_set,complement(image(non_ordered_pair(u,v),w))) -> equal(first(f22(singleton_set(a),non_ordered_pair(u,v),w)),v)** equal(first(f22(singleton_set(a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 59757[16:Rew:54986.0,56653.2] || disjoint(complement(image(non_ordered_pair(u,v),w)),universal_set) -> equal(first(f22(singleton_set(a),non_ordered_pair(u,v),w)),v)** equal(first(f22(singleton_set(a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 59758[16:Rew:54986.0,56654.2] || member(universal_set,powerset(image(non_ordered_pair(u,v),w))) -> equal(first(f22(singleton_set(a),non_ordered_pair(u,v),w)),v)** equal(first(f22(singleton_set(a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 59759[16:Rew:54986.0,56998.2] || disjoint(universal_set,complement(image(non_ordered_pair(u,v),w))) -> equal(first(f22(powerset(a),non_ordered_pair(u,v),w)),v)** equal(first(f22(powerset(a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 59760[16:Rew:54986.0,56999.2] || disjoint(complement(image(non_ordered_pair(u,v),w)),universal_set) -> equal(first(f22(powerset(a),non_ordered_pair(u,v),w)),v)** equal(first(f22(powerset(a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 59761[16:Rew:54986.0,57000.2] || member(universal_set,powerset(image(non_ordered_pair(u,v),w))) -> equal(first(f22(powerset(a),non_ordered_pair(u,v),w)),v)** equal(first(f22(powerset(a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 58690[16:Rew:54986.0,50931.0] || -> equal(cross_product(converse(intersection(u,v)),w),a) member(ordered_pair(second(first(f24(cross_product(converse(intersection(u,v)),w)))),first(first(f24(cross_product(converse(intersection(u,v)),w))))),u)*. % 299.97/300.39 58691[16:Rew:54986.0,50930.0] || -> equal(cross_product(converse(intersection(u,v)),w),a) member(ordered_pair(second(first(f24(cross_product(converse(intersection(u,v)),w)))),first(first(f24(cross_product(converse(intersection(u,v)),w))))),v)*. % 299.97/300.39 58692[16:Rew:54986.0,50933.0] || -> equal(cross_product(u,converse(intersection(v,w))),a) member(ordered_pair(second(second(f24(cross_product(u,converse(intersection(v,w)))))),first(second(f24(cross_product(u,converse(intersection(v,w))))))),v)*. % 299.97/300.39 58693[16:Rew:54986.0,50932.0] || -> equal(cross_product(u,converse(intersection(v,w))),a) member(ordered_pair(second(second(f24(cross_product(u,converse(intersection(v,w)))))),first(second(f24(cross_product(u,converse(intersection(v,w))))))),w)*. % 299.97/300.39 58694[16:Rew:54986.0,51319.3] little_set(u) single_valued_set(singleton_set(ordered_pair(f2(v),u))) || member(v,singleton_set(ordered_pair(f2(v),u)))* -> equal(singleton_set(ordered_pair(f2(v),u)),a) equal(u,f3(v)). % 299.97/300.39 58695[16:Rew:54986.0,51391.2] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(f29(u,v,w),y),a) member(first(f24(cross_product(f29(u,v,w),y))),first(x))*. % 299.97/300.39 58696[16:Rew:54986.0,51392.2] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(y,f29(u,v,w)),a) member(second(f24(cross_product(y,f29(u,v,w)))),first(x))*. % 299.97/300.39 58697[16:Rew:54986.0,51411.2] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(f30(u,v,w),y),a) member(first(f24(cross_product(f30(u,v,w),y))),second(x))*. % 299.97/300.39 58698[16:Rew:54986.0,51412.2] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(y,f30(u,v,w)),a) member(second(f24(cross_product(y,f30(u,v,w)))),second(x))*. % 299.97/300.39 58701[16:Rew:54986.0,51447.2] || member(u,rotate_right(v)) equal(w,u) -> equal(ordered_pair(f10(u,v),f11(u,v)),a) member(f24(ordered_pair(f10(u,v),f11(u,v))),second(w))*. % 299.97/300.39 58702[16:Rew:54986.0,51444.2] || member(u,rotate_right(v)) equal(w,u) -> equal(ordered_pair(f10(u,v),f11(u,v)),a) member(f26(ordered_pair(f10(u,v),f11(u,v))),second(w))*. % 299.97/300.39 58705[16:Rew:54986.0,51455.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(ordered_pair(f13(u,v),f14(u,v)),a) member(f24(ordered_pair(f13(u,v),f14(u,v))),second(w))*. % 299.97/300.39 58706[16:Rew:54986.0,51452.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(ordered_pair(f13(u,v),f14(u,v)),a) member(f26(ordered_pair(f13(u,v),f14(u,v))),second(w))*. % 299.97/300.39 58707[16:Rew:54986.0,51462.0] || equal(second(f17(u,cross_product(v,ordered_pair(universal_set,w)))),a) member(first(f17(u,cross_product(v,ordered_pair(universal_set,w)))),v)* -> subset(u,cross_product(v,ordered_pair(universal_set,w))). % 299.97/300.39 58711[16:Rew:54986.0,51517.2] || member(u,v) equal(first(u),w) -> equal(converse(second(u)),a) member(ordered_pair(second(f24(converse(second(u)))),first(f24(converse(second(u))))),apply(v,w))*. % 299.97/300.39 58712[16:Rew:54986.0,51618.2] || member(u,v)* equal(first(u),w)* -> member(a,sigma(complement(converse(second(u)))))* member(ordered_pair(second(ordered_pair(universal_set,x)),first(ordered_pair(universal_set,x))),apply(v,w))*. % 299.97/300.39 58713[16:Rew:54986.0,51619.0] || -> member(a,sigma(complement(apply(non_ordered_pair(u,v),w))))* equal(f28(ordered_pair(universal_set,x),non_ordered_pair(u,v),w),v)** equal(f28(ordered_pair(universal_set,x),non_ordered_pair(u,v),w),u)**. % 299.97/300.39 58714[16:Rew:54986.0,51620.0] || -> member(a,sigma(complement(image(u,non_ordered_pair(v,w)))))* equal(f22(ordered_pair(universal_set,x),u,non_ordered_pair(v,w)),w)** equal(f22(ordered_pair(universal_set,x),u,non_ordered_pair(v,w)),v)**. % 299.97/300.39 64269[6:Res:4628.1,10857.1] || member(u,flip_range_of(cross_product(v,infinity))) equal(successor(second(ordered_pair(f12(u,cross_product(v,infinity)),ordered_pair(f14(u,cross_product(v,infinity)),f13(u,cross_product(v,infinity)))))),universal_set)** -> . % 299.97/300.39 64376[6:Res:4627.1,10857.1] || member(u,flip_range_of(cross_product(infinity,v))) equal(successor(first(ordered_pair(f12(u,cross_product(infinity,v)),ordered_pair(f14(u,cross_product(infinity,v)),f13(u,cross_product(infinity,v)))))),universal_set)** -> . % 299.97/300.39 64525[6:Res:4776.1,10857.1] || member(u,rotate_right(cross_product(v,infinity))) equal(successor(second(ordered_pair(f10(u,cross_product(v,infinity)),ordered_pair(f11(u,cross_product(v,infinity)),f9(u,cross_product(v,infinity)))))),universal_set)** -> . % 299.97/300.39 64635[6:Res:4775.1,10857.1] || member(u,rotate_right(cross_product(infinity,v))) equal(successor(first(ordered_pair(f10(u,cross_product(infinity,v)),ordered_pair(f11(u,cross_product(infinity,v)),f9(u,cross_product(infinity,v)))))),universal_set)** -> . % 299.97/300.39 65878[0:SSi:65856.0,371.0] little_set(u) single_valued_set(complement(v)) || member(w,first(x)) member(x,complement(v)) -> member(ordered_pair(f4(w,x),u),v)* equal(u,f5(w,x)). % 299.97/300.39 65999[0:SSi:65977.0,371.0] little_set(u) single_valued_set(complement(v)) || member(w,second(x)) member(x,complement(v)) -> member(ordered_pair(f6(w,x),u),v)* equal(u,f7(w,x)). % 299.97/300.39 66368[0:SSi:66286.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),x)* member(ordered_pair(w,u),y)* -> member(ordered_pair(w,v),compose(y,singleton_set(x)))*. % 299.97/300.39 66369[0:SSi:66285.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || subset(ordered_pair(u,v),x)* member(ordered_pair(w,u),y)* -> member(ordered_pair(w,v),compose(y,powerset(x)))*. % 299.97/300.39 66381[0:MRR:66271.0,66271.1,18.1,19.1] little_set(u) || member(v,first(w)) member(w,x) member(ordered_pair(u,f4(v,w)),y) -> member(ordered_pair(u,f5(v,w)),compose(y,x))*. % 299.97/300.39 66382[0:MRR:66270.0,66270.1,23.1,24.1] little_set(u) || member(v,second(w)) member(w,x) member(ordered_pair(u,f6(v,w)),y) -> member(ordered_pair(u,f7(v,w)),compose(y,x))*. % 299.97/300.39 66388[0:MRR:66387.0,49.1] little_set(u) || member(v,rotate_right(w)) member(ordered_pair(u,f10(v,w)),x) -> member(ordered_pair(u,ordered_pair(f11(v,w),f9(v,w))),compose(x,w))*. % 299.97/300.39 66390[0:MRR:66389.0,54.1] little_set(u) || member(v,flip_range_of(w)) member(ordered_pair(u,f12(v,w)),x) -> member(ordered_pair(u,ordered_pair(f14(v,w),f13(v,w))),compose(x,w))*. % 299.97/300.39 66493[0:SoR:5222.3,90.1] little_set(u) little_set(v) little_set(w) function(powerset(x)) || subset(ordered_pair(w,u),x)* member(ordered_pair(w,v),powerset(x))* -> equal(v,u)*. % 299.97/300.39 66638[0:SSi:66621.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(ordered_pair(f2(u),ordered_pair(f3(u),v)),x)* member(w,rotate_right(complement(x)))*. % 299.97/300.39 66802[0:SSi:66781.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(ordered_pair(v,ordered_pair(f3(u),f2(u))),x)* member(w,flip_range_of(complement(x)))*. % 299.97/300.39 66937[3:SSi:66916.0,371.0] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(ordered_pair(u,f3(w)),y)* member(v,compose(x,complement(y)))*. % 299.97/300.39 67111[0:Res:62.1,5162.4] little_set(first(f27(u,v))) little_set(w) || member(u,range_of(v)) member(f27(u,v),x)* equal(u,w)* -> member(w,image(universal_set,x))*. % 299.97/300.39 67110[3:Res:5770.1,5162.4] ordered_pair_predicate(first(f27(u,v))) little_set(w) || member(u,range_of(v)) member(f27(u,v),x)* equal(u,w)* -> member(w,image(universal_set,x))*. % 299.97/300.39 70482[0:Obv:70477.1] little_set(u) || subset(v,w)* member(x,image(v,y)) member(f22(x,v,y),z)* equal(x,u)* -> member(u,image(w,z))*. % 299.97/300.39 70484[0:Obv:70473.1] little_set(u) || member(v,image(intersection(w,x),y)) member(f22(v,intersection(w,x),y),z)* equal(v,u)* -> member(u,image(x,z))*. % 299.97/300.39 70485[0:Obv:70472.1] little_set(u) || member(v,image(w,cross_product(x,y))) member(f22(v,w,cross_product(x,y)),z)* equal(v,u)* -> member(u,image(x,z))*. % 299.97/300.39 70486[0:Obv:70471.1] little_set(u) || member(v,image(intersection(w,x),y)) member(f22(v,intersection(w,x),y),z)* equal(v,u)* -> member(u,image(w,z))*. % 299.97/300.39 71003[0:MRR:71002.0,19.1] little_set(u) || member(v,first(w)) equal(u,w)* member(singleton_set(singleton_set(f5(v,w))),x)* member(w,y)* -> member(u,compose(y,x))*. % 299.97/300.39 71006[0:MRR:71005.0,18.1] little_set(u) || member(v,first(w)) equal(u,w)* member(w,x)* member(singleton_set(singleton_set(f4(v,w))),y)* -> member(u,compose(y,x))*. % 299.97/300.39 71074[0:MRR:71073.0,24.1] little_set(u) || member(v,second(w)) equal(u,w)* member(singleton_set(singleton_set(f7(v,w))),x)* member(w,y)* -> member(u,compose(y,x))*. % 299.97/300.39 71077[0:MRR:71076.0,23.1] little_set(u) || member(v,second(w)) equal(u,w)* member(w,x)* member(singleton_set(singleton_set(f6(v,w))),y)* -> member(u,compose(y,x))*. % 299.97/300.39 71319[0:MRR:71318.0,71318.1,131.1,132.1] little_set(u) little_set(v) || member(ordered_pair(u,w),x)* member(w,compose(y,z))* equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(flip_range_of(x)))*. % 299.97/300.39 71735[16:Res:56196.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),a) member(first(ordered_pair(second(u),first(u))),v)* -> member(u,converse(cross_product(v,ordered_pair(universal_set,w))))*. % 299.97/300.39 74068[0:MRR:74067.0,48.1] little_set(u) || member(v,rotate_right(w)) equal(u,v)* member(v,x)* member(singleton_set(singleton_set(f9(v,w))),y)* -> member(u,compose(y,x))*. % 299.97/300.39 74178[0:MRR:74177.0,54.1] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* member(v,x)* member(singleton_set(singleton_set(f12(v,w))),y)* -> member(u,compose(y,x))*. % 299.97/300.39 82825[16:Res:82637.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),a)** equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(set_b))*. % 299.97/300.39 82824[16:Res:82637.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),a)** equal(w,ordered_pair(v,u))* -> member(w,rotate_right(set_b))*. % 299.97/300.39 82822[16:Res:82637.1,8204.3] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),a) equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(v,compose(x,set_b))*. % 299.97/300.39 82978[3:Res:82638.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),a)** equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(set_a))*. % 299.97/300.39 82977[3:Res:82638.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),a)** equal(w,ordered_pair(v,u))* -> member(w,rotate_right(set_a))*. % 299.97/300.39 82975[3:Res:82638.1,8204.3] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),a) equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(v,compose(x,set_a))*. % 299.97/300.39 83133[16:Res:82641.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),a)** equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(infinity))*. % 299.97/300.39 83132[16:Res:82641.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),a)** equal(w,ordered_pair(v,u))* -> member(w,rotate_right(infinity))*. % 299.97/300.39 83130[16:Res:82641.1,8204.3] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),a) equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(v,compose(x,infinity))*. % 299.97/300.39 87697[16:Res:82665.1,6077.3] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),a)** member(ordered_pair(w,u),x)* -> member(ordered_pair(w,v),compose(x,sigma(infinity)))*. % 299.97/300.39 87678[16:Res:82665.1,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(sigma(infinity)) || equal(ordered_pair(w,u),a)** member(ordered_pair(w,v),sigma(infinity))* -> equal(v,u)*. % 299.97/300.39 87851[16:Res:82681.1,6077.3] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),a)** member(ordered_pair(w,u),x)* -> member(ordered_pair(w,v),compose(x,successor(a)))*. % 299.97/300.39 87832[16:Res:82681.1,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(successor(a)) || equal(ordered_pair(w,u),a)** member(ordered_pair(w,v),successor(a))* -> equal(v,u)*. % 299.97/300.39 88129[3:Res:82671.1,6224.3] little_set(u) single_valued_set(singleton_set(ordered_pair(f2(v),u))) || equal(ordered_pair(f2(v),u),infinity) member(v,singleton_set(ordered_pair(f2(v),u)))* -> equal(u,f3(v)). % 299.97/300.39 88927[16:Res:384.1,57904.0] little_set(complement(sigma(intersection(complement(u),complement(v))))) || -> member(complement(sigma(intersection(complement(u),complement(v)))),union(u,v))* equal(complement(sigma(intersection(complement(u),complement(v)))),a). % 299.97/300.39 89476[0:Res:3842.1,43745.1] || member(f1(intersection(u,v),flip_range_of(complement(flip_range_of(w)))),w)* -> equal(intersection(u,v),flip_range_of(complement(flip_range_of(w)))) member(f1(intersection(u,v),flip_range_of(complement(flip_range_of(w)))),u)*. % 299.97/300.39 89475[0:Res:3843.1,43745.1] || member(f1(intersection(u,v),flip_range_of(complement(flip_range_of(w)))),w)* -> equal(intersection(u,v),flip_range_of(complement(flip_range_of(w)))) member(f1(intersection(u,v),flip_range_of(complement(flip_range_of(w)))),v)*. % 299.97/300.39 89474[0:Res:3825.2,43745.1] || member(f1(u,intersection(v,flip_range_of(complement(flip_range_of(w))))),w)* -> equal(u,intersection(v,flip_range_of(complement(flip_range_of(w))))) member(f1(u,intersection(v,flip_range_of(complement(flip_range_of(w))))),u)*. % 299.97/300.39 89440[0:Res:3843.2,43745.1] || member(f1(intersection(u,flip_range_of(complement(flip_range_of(v)))),w),v)* -> equal(intersection(u,flip_range_of(complement(flip_range_of(v)))),w) member(f1(intersection(u,flip_range_of(complement(flip_range_of(v)))),w),w)*. % 299.97/300.39 89439[0:Res:3824.2,43745.1] || member(f1(u,intersection(flip_range_of(complement(flip_range_of(v))),w)),v)* -> equal(u,intersection(flip_range_of(complement(flip_range_of(v))),w)) member(f1(u,intersection(flip_range_of(complement(flip_range_of(v))),w)),u)*. % 299.97/300.39 89401[0:Res:3842.2,43745.1] || member(f1(intersection(flip_range_of(complement(flip_range_of(u))),v),w),u)* -> equal(intersection(flip_range_of(complement(flip_range_of(u))),v),w) member(f1(intersection(flip_range_of(complement(flip_range_of(u))),v),w),w)*. % 299.97/300.39 89395[0:Res:3824.1,43745.1] || member(f1(flip_range_of(complement(flip_range_of(u))),intersection(v,w)),u)* -> equal(flip_range_of(complement(flip_range_of(u))),intersection(v,w)) member(f1(flip_range_of(complement(flip_range_of(u))),intersection(v,w)),v)*. % 299.97/300.39 89394[0:Res:3825.1,43745.1] || member(f1(flip_range_of(complement(flip_range_of(u))),intersection(v,w)),u)* -> equal(flip_range_of(complement(flip_range_of(u))),intersection(v,w)) member(f1(flip_range_of(complement(flip_range_of(u))),intersection(v,w)),w)*. % 299.97/300.39 89703[16:SoR:6223.0,57705.1] || member(f24(cross_product(u,v)),w) member(first(f24(cross_product(u,v))),x) -> member(second(f24(cross_product(u,v))),image(x,w))* equal(cross_product(u,v),a). % 299.97/300.39 92652[0:Res:3842.1,19261.0] || -> equal(intersection(u,v),sigma(intersection(w,x))) member(f1(intersection(u,v),sigma(intersection(w,x))),u)* member(f1(intersection(u,v),sigma(intersection(w,x))),sigma(w))*. % 299.97/300.39 92651[0:Res:3843.1,19261.0] || -> equal(intersection(u,v),sigma(intersection(w,x))) member(f1(intersection(u,v),sigma(intersection(w,x))),v)* member(f1(intersection(u,v),sigma(intersection(w,x))),sigma(w))*. % 299.97/300.39 92650[0:Res:3825.2,19261.0] || -> equal(u,intersection(v,sigma(intersection(w,x)))) member(f1(u,intersection(v,sigma(intersection(w,x)))),u)* member(f1(u,intersection(v,sigma(intersection(w,x)))),sigma(w))*. % 299.97/300.39 92616[0:Res:3843.2,19261.0] || -> equal(intersection(u,sigma(intersection(v,w))),x) member(f1(intersection(u,sigma(intersection(v,w))),x),x)* member(f1(intersection(u,sigma(intersection(v,w))),x),sigma(v))*. % 299.97/300.39 92615[0:Res:3824.2,19261.0] || -> equal(u,intersection(sigma(intersection(v,w)),x)) member(f1(u,intersection(sigma(intersection(v,w)),x)),u)* member(f1(u,intersection(sigma(intersection(v,w)),x)),sigma(v))*. % 299.97/300.39 92577[0:Res:3842.2,19261.0] || -> equal(intersection(sigma(intersection(u,v)),w),x) member(f1(intersection(sigma(intersection(u,v)),w),x),x)* member(f1(intersection(sigma(intersection(u,v)),w),x),sigma(u))*. % 299.97/300.39 92571[0:Res:3824.1,19261.0] || -> equal(sigma(intersection(u,v)),intersection(w,x)) member(f1(sigma(intersection(u,v)),intersection(w,x)),w)* member(f1(sigma(intersection(u,v)),intersection(w,x)),sigma(u))*. % 299.97/300.39 92570[0:Res:3825.1,19261.0] || -> equal(sigma(intersection(u,v)),intersection(w,x)) member(f1(sigma(intersection(u,v)),intersection(w,x)),x)* member(f1(sigma(intersection(u,v)),intersection(w,x)),sigma(u))*. % 299.97/300.39 92854[0:Res:3842.1,19263.0] || -> equal(intersection(u,v),sigma(intersection(w,x))) member(f1(intersection(u,v),sigma(intersection(w,x))),u)* member(f1(intersection(u,v),sigma(intersection(w,x))),sigma(x))*. % 299.97/300.39 92853[0:Res:3843.1,19263.0] || -> equal(intersection(u,v),sigma(intersection(w,x))) member(f1(intersection(u,v),sigma(intersection(w,x))),v)* member(f1(intersection(u,v),sigma(intersection(w,x))),sigma(x))*. % 299.97/300.39 92852[0:Res:3825.2,19263.0] || -> equal(u,intersection(v,sigma(intersection(w,x)))) member(f1(u,intersection(v,sigma(intersection(w,x)))),u)* member(f1(u,intersection(v,sigma(intersection(w,x)))),sigma(x))*. % 299.97/300.39 92818[0:Res:3843.2,19263.0] || -> equal(intersection(u,sigma(intersection(v,w))),x) member(f1(intersection(u,sigma(intersection(v,w))),x),x)* member(f1(intersection(u,sigma(intersection(v,w))),x),sigma(w))*. % 299.97/300.39 92817[0:Res:3824.2,19263.0] || -> equal(u,intersection(sigma(intersection(v,w)),x)) member(f1(u,intersection(sigma(intersection(v,w)),x)),u)* member(f1(u,intersection(sigma(intersection(v,w)),x)),sigma(w))*. % 299.97/300.39 92779[0:Res:3842.2,19263.0] || -> equal(intersection(sigma(intersection(u,v)),w),x) member(f1(intersection(sigma(intersection(u,v)),w),x),x)* member(f1(intersection(sigma(intersection(u,v)),w),x),sigma(v))*. % 299.97/300.39 92773[0:Res:3824.1,19263.0] || -> equal(sigma(intersection(u,v)),intersection(w,x)) member(f1(sigma(intersection(u,v)),intersection(w,x)),w)* member(f1(sigma(intersection(u,v)),intersection(w,x)),sigma(v))*. % 299.97/300.39 92772[0:Res:3825.1,19263.0] || -> equal(sigma(intersection(u,v)),intersection(w,x)) member(f1(sigma(intersection(u,v)),intersection(w,x)),x)* member(f1(sigma(intersection(u,v)),intersection(w,x)),sigma(v))*. % 299.97/300.39 97749[0:Res:3817.2,2899.0] || -> equal(u,cross_product(domain_of(singleton_set(v)),w)) member(f1(u,cross_product(domain_of(singleton_set(v)),w)),u)* equal(f8(first(f1(u,cross_product(domain_of(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.39 97739[0:Res:3835.2,2899.0] || -> equal(cross_product(domain_of(singleton_set(u)),v),w) member(f1(cross_product(domain_of(singleton_set(u)),v),w),w)* equal(f8(first(f1(cross_product(domain_of(singleton_set(u)),v),w)),singleton_set(u)),u)**. % 299.97/300.39 97714[0:Res:52.1,2899.0] || member(u,rotate_right(domain_of(singleton_set(v)))) -> equal(f8(ordered_pair(f10(u,domain_of(singleton_set(v))),ordered_pair(f11(u,domain_of(singleton_set(v))),f9(u,domain_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.39 97712[0:Res:58.1,2899.0] || member(u,flip_range_of(domain_of(singleton_set(v)))) -> equal(f8(ordered_pair(f12(u,domain_of(singleton_set(v))),ordered_pair(f14(u,domain_of(singleton_set(v))),f13(u,domain_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.39 97706[0:Res:3836.1,2899.0] || -> equal(cross_product(u,v),domain_of(singleton_set(w))) member(second(f1(cross_product(u,v),domain_of(singleton_set(w)))),v)* equal(f8(f1(cross_product(u,v),domain_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 97705[0:Res:3835.1,2899.0] || -> equal(cross_product(u,v),domain_of(singleton_set(w))) member(first(f1(cross_product(u,v),domain_of(singleton_set(w)))),u)* equal(f8(f1(cross_product(u,v),domain_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 97687[0:Res:3818.2,2899.0] || -> equal(u,cross_product(v,domain_of(singleton_set(w)))) member(f1(u,cross_product(v,domain_of(singleton_set(w)))),u)* equal(f8(second(f1(u,cross_product(v,domain_of(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.39 97673[0:Res:3836.2,2899.0] || -> equal(cross_product(u,domain_of(singleton_set(v))),w) member(f1(cross_product(u,domain_of(singleton_set(v))),w),w)* equal(f8(second(f1(cross_product(u,domain_of(singleton_set(v))),w)),singleton_set(v)),v)**. % 299.97/300.39 97624[0:Res:3818.1,2899.0] || -> equal(domain_of(singleton_set(u)),cross_product(v,w)) member(second(f1(domain_of(singleton_set(u)),cross_product(v,w))),w)* equal(f8(f1(domain_of(singleton_set(u)),cross_product(v,w)),singleton_set(u)),u)**. % 299.97/300.39 97623[0:Res:3817.1,2899.0] || -> equal(domain_of(singleton_set(u)),cross_product(v,w)) member(first(f1(domain_of(singleton_set(u)),cross_product(v,w))),v)* equal(f8(f1(domain_of(singleton_set(u)),cross_product(v,w)),singleton_set(u)),u)**. % 299.97/300.39 97962[0:Res:3817.2,2938.0] || -> equal(u,cross_product(sigma(singleton_set(v)),w)) member(f1(u,cross_product(sigma(singleton_set(v)),w)),u)* equal(f16(first(f1(u,cross_product(sigma(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.39 97952[0:Res:3835.2,2938.0] || -> equal(cross_product(sigma(singleton_set(u)),v),w) member(f1(cross_product(sigma(singleton_set(u)),v),w),w)* equal(f16(first(f1(cross_product(sigma(singleton_set(u)),v),w)),singleton_set(u)),u)**. % 299.97/300.39 97927[0:Res:52.1,2938.0] || member(u,rotate_right(sigma(singleton_set(v)))) -> equal(f16(ordered_pair(f10(u,sigma(singleton_set(v))),ordered_pair(f11(u,sigma(singleton_set(v))),f9(u,sigma(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.39 97925[0:Res:58.1,2938.0] || member(u,flip_range_of(sigma(singleton_set(v)))) -> equal(f16(ordered_pair(f12(u,sigma(singleton_set(v))),ordered_pair(f14(u,sigma(singleton_set(v))),f13(u,sigma(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.39 97919[0:Res:3836.1,2938.0] || -> equal(cross_product(u,v),sigma(singleton_set(w))) member(second(f1(cross_product(u,v),sigma(singleton_set(w)))),v)* equal(f16(f1(cross_product(u,v),sigma(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 97918[0:Res:3835.1,2938.0] || -> equal(cross_product(u,v),sigma(singleton_set(w))) member(first(f1(cross_product(u,v),sigma(singleton_set(w)))),u)* equal(f16(f1(cross_product(u,v),sigma(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 97900[0:Res:3818.2,2938.0] || -> equal(u,cross_product(v,sigma(singleton_set(w)))) member(f1(u,cross_product(v,sigma(singleton_set(w)))),u)* equal(f16(second(f1(u,cross_product(v,sigma(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.39 97886[0:Res:3836.2,2938.0] || -> equal(cross_product(u,sigma(singleton_set(v))),w) member(f1(cross_product(u,sigma(singleton_set(v))),w),w)* equal(f16(second(f1(cross_product(u,sigma(singleton_set(v))),w)),singleton_set(v)),v)**. % 299.97/300.39 97837[0:Res:3818.1,2938.0] || -> equal(sigma(singleton_set(u)),cross_product(v,w)) member(second(f1(sigma(singleton_set(u)),cross_product(v,w))),w)* equal(f16(f1(sigma(singleton_set(u)),cross_product(v,w)),singleton_set(u)),u)**. % 299.97/300.39 97836[0:Res:3817.1,2938.0] || -> equal(sigma(singleton_set(u)),cross_product(v,w)) member(first(f1(sigma(singleton_set(u)),cross_product(v,w))),v)* equal(f16(f1(sigma(singleton_set(u)),cross_product(v,w)),singleton_set(u)),u)**. % 299.97/300.39 98205[0:Res:3817.2,2959.0] || -> equal(u,cross_product(range_of(singleton_set(v)),w)) member(f1(u,cross_product(range_of(singleton_set(v)),w)),u)* equal(f27(first(f1(u,cross_product(range_of(singleton_set(v)),w))),singleton_set(v)),v)**. % 299.97/300.39 98195[0:Res:3835.2,2959.0] || -> equal(cross_product(range_of(singleton_set(u)),v),w) member(f1(cross_product(range_of(singleton_set(u)),v),w),w)* equal(f27(first(f1(cross_product(range_of(singleton_set(u)),v),w)),singleton_set(u)),u)**. % 299.97/300.39 98170[0:Res:52.1,2959.0] || member(u,rotate_right(range_of(singleton_set(v)))) -> equal(f27(ordered_pair(f10(u,range_of(singleton_set(v))),ordered_pair(f11(u,range_of(singleton_set(v))),f9(u,range_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.39 98168[0:Res:58.1,2959.0] || member(u,flip_range_of(range_of(singleton_set(v)))) -> equal(f27(ordered_pair(f12(u,range_of(singleton_set(v))),ordered_pair(f14(u,range_of(singleton_set(v))),f13(u,range_of(singleton_set(v))))),singleton_set(v)),v)**. % 299.97/300.39 98162[0:Res:3836.1,2959.0] || -> equal(cross_product(u,v),range_of(singleton_set(w))) member(second(f1(cross_product(u,v),range_of(singleton_set(w)))),v)* equal(f27(f1(cross_product(u,v),range_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 98161[0:Res:3835.1,2959.0] || -> equal(cross_product(u,v),range_of(singleton_set(w))) member(first(f1(cross_product(u,v),range_of(singleton_set(w)))),u)* equal(f27(f1(cross_product(u,v),range_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.39 98143[0:Res:3818.2,2959.0] || -> equal(u,cross_product(v,range_of(singleton_set(w)))) member(f1(u,cross_product(v,range_of(singleton_set(w)))),u)* equal(f27(second(f1(u,cross_product(v,range_of(singleton_set(w))))),singleton_set(w)),w)**. % 299.97/300.39 98129[0:Res:3836.2,2959.0] || -> equal(cross_product(u,range_of(singleton_set(v))),w) member(f1(cross_product(u,range_of(singleton_set(v))),w),w)* equal(f27(second(f1(cross_product(u,range_of(singleton_set(v))),w)),singleton_set(v)),v)**. % 299.97/300.39 98080[0:Res:3818.1,2959.0] || -> equal(range_of(singleton_set(u)),cross_product(v,w)) member(second(f1(range_of(singleton_set(u)),cross_product(v,w))),w)* equal(f27(f1(range_of(singleton_set(u)),cross_product(v,w)),singleton_set(u)),u)**. % 299.97/300.39 98079[0:Res:3817.1,2959.0] || -> equal(range_of(singleton_set(u)),cross_product(v,w)) member(first(f1(range_of(singleton_set(u)),cross_product(v,w))),v)* equal(f27(f1(range_of(singleton_set(u)),cross_product(v,w)),singleton_set(u)),u)**. % 299.97/300.39 98439[0:Res:8090.0,5066.1] || member(u,compose(v,w)) equal(x,u) -> subset(complement(complement(f30(u,v,w))),y) member(f17(complement(complement(f30(u,v,w))),y),second(x))*. % 299.97/300.39 98438[0:Res:8090.0,5025.1] || member(u,compose(v,w)) equal(x,u) -> subset(complement(complement(f29(u,v,w))),y) member(f17(complement(complement(f29(u,v,w))),y),first(x))*. % 299.97/300.39 98396[0:Res:8090.0,1020.0] || -> subset(complement(complement(converse(intersection(u,v)))),w) member(ordered_pair(second(f17(complement(complement(converse(intersection(u,v)))),w)),first(f17(complement(complement(converse(intersection(u,v)))),w))),u)*. % 299.97/300.39 98395[0:Res:8090.0,1021.0] || -> subset(complement(complement(converse(intersection(u,v)))),w) member(ordered_pair(second(f17(complement(complement(converse(intersection(u,v)))),w)),first(f17(complement(complement(converse(intersection(u,v)))),w))),v)*. % 299.97/300.39 98555[0:Res:9082.0,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,complement(complement(f30(u,v,w)))) member(f23(y,complement(complement(f30(u,v,w)))),second(x))*. % 299.97/300.39 98554[0:Res:9082.0,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,complement(complement(f29(u,v,w)))) member(f23(y,complement(complement(f29(u,v,w)))),first(x))*. % 299.97/300.39 98512[0:Res:9082.0,1020.0] || -> disjoint(u,complement(complement(converse(intersection(v,w))))) member(ordered_pair(second(f23(u,complement(complement(converse(intersection(v,w)))))),first(f23(u,complement(complement(converse(intersection(v,w))))))),v)*. % 299.97/300.39 98511[0:Res:9082.0,1021.0] || -> disjoint(u,complement(complement(converse(intersection(v,w))))) member(ordered_pair(second(f23(u,complement(complement(converse(intersection(v,w)))))),first(f23(u,complement(complement(converse(intersection(v,w))))))),w)*. % 299.97/300.39 98745[0:Res:9151.0,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(complement(complement(f30(u,v,w))),y) member(f23(complement(complement(f30(u,v,w))),y),second(x))*. % 299.97/300.39 98744[0:Res:9151.0,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(complement(complement(f29(u,v,w))),y) member(f23(complement(complement(f29(u,v,w))),y),first(x))*. % 299.97/300.39 98702[0:Res:9151.0,1020.0] || -> disjoint(complement(complement(converse(intersection(u,v)))),w) member(ordered_pair(second(f23(complement(complement(converse(intersection(u,v)))),w)),first(f23(complement(complement(converse(intersection(u,v)))),w))),u)*. % 299.97/300.39 98701[0:Res:9151.0,1021.0] || -> disjoint(complement(complement(converse(intersection(u,v)))),w) member(ordered_pair(second(f23(complement(complement(converse(intersection(u,v)))),w)),first(f23(complement(complement(converse(intersection(u,v)))),w))),v)*. % 299.97/300.39 99718[0:Res:22366.2,4973.2] ordered_pair_predicate(u) little_set(v) || member(f22(w,x,y),f2(u))* member(w,image(x,y)) equal(v,w)* -> member(v,range_of(first(u)))*. % 299.97/300.39 99717[0:Res:22366.2,4927.2] ordered_pair_predicate(u) little_set(v) || member(f28(w,x,y),f2(u))* member(w,apply(x,y)) equal(v,y)* -> member(v,domain_of(first(u)))*. % 299.97/300.39 99915[0:Res:22612.2,4973.2] ordered_pair_predicate(u) little_set(v) || member(f22(w,x,y),f3(u))* member(w,image(x,y)) equal(v,w)* -> member(v,range_of(second(u)))*. % 299.97/300.39 99914[0:Res:22612.2,4927.2] ordered_pair_predicate(u) little_set(v) || member(f28(w,x,y),f3(u))* member(w,apply(x,y)) equal(v,y)* -> member(v,domain_of(second(u)))*. % 299.97/300.39 100818[16:Res:59048.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(f30(u,v,w),y),a) member(f1(intersection(f30(u,v,w),y),a),second(x))*. % 299.97/300.39 100817[16:Res:59048.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(f29(u,v,w),y),a) member(f1(intersection(f29(u,v,w),y),a),first(x))*. % 299.97/300.39 100775[16:Res:59048.1,1020.0] || -> equal(intersection(converse(intersection(u,v)),w),a) member(ordered_pair(second(f1(intersection(converse(intersection(u,v)),w),a)),first(f1(intersection(converse(intersection(u,v)),w),a))),u)*. % 299.97/300.39 100774[16:Res:59048.1,1021.0] || -> equal(intersection(converse(intersection(u,v)),w),a) member(ordered_pair(second(f1(intersection(converse(intersection(u,v)),w),a)),first(f1(intersection(converse(intersection(u,v)),w),a))),v)*. % 299.97/300.39 100935[16:Res:59049.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,f30(u,v,w)),a) member(f1(intersection(y,f30(u,v,w)),a),second(x))*. % 299.97/300.39 100934[16:Res:59049.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,f29(u,v,w)),a) member(f1(intersection(y,f29(u,v,w)),a),first(x))*. % 299.97/300.39 100892[16:Res:59049.1,1020.0] || -> equal(intersection(u,converse(intersection(v,w))),a) member(ordered_pair(second(f1(intersection(u,converse(intersection(v,w))),a)),first(f1(intersection(u,converse(intersection(v,w))),a))),v)*. % 299.97/300.39 100891[16:Res:59049.1,1021.0] || -> equal(intersection(u,converse(intersection(v,w))),a) member(ordered_pair(second(f1(intersection(u,converse(intersection(v,w))),a)),first(f1(intersection(u,converse(intersection(v,w))),a))),w)*. % 299.97/300.39 101036[16:Res:59050.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(f30(u,v,w),y),a) member(f1(a,intersection(f30(u,v,w),y)),second(x))*. % 299.97/300.39 101035[16:Res:59050.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(f29(u,v,w),y),a) member(f1(a,intersection(f29(u,v,w),y)),first(x))*. % 299.97/300.39 100993[16:Res:59050.1,1020.0] || -> equal(intersection(converse(intersection(u,v)),w),a) member(ordered_pair(second(f1(a,intersection(converse(intersection(u,v)),w))),first(f1(a,intersection(converse(intersection(u,v)),w)))),u)*. % 299.97/300.39 100992[16:Res:59050.1,1021.0] || -> equal(intersection(converse(intersection(u,v)),w),a) member(ordered_pair(second(f1(a,intersection(converse(intersection(u,v)),w))),first(f1(a,intersection(converse(intersection(u,v)),w)))),v)*. % 299.97/300.39 101175[16:Res:59051.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,f30(u,v,w)),a) member(f1(a,intersection(y,f30(u,v,w))),second(x))*. % 299.97/300.39 101174[16:Res:59051.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,f29(u,v,w)),a) member(f1(a,intersection(y,f29(u,v,w))),first(x))*. % 299.97/300.39 101132[16:Res:59051.1,1020.0] || -> equal(intersection(u,converse(intersection(v,w))),a) member(ordered_pair(second(f1(a,intersection(u,converse(intersection(v,w))))),first(f1(a,intersection(u,converse(intersection(v,w)))))),v)*. % 299.97/300.39 101131[16:Res:59051.1,1021.0] || -> equal(intersection(u,converse(intersection(v,w))),a) member(ordered_pair(second(f1(a,intersection(u,converse(intersection(v,w))))),first(f1(a,intersection(u,converse(intersection(v,w)))))),w)*. % 299.97/300.39 101369[16:Res:59052.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(restrict(f30(u,v,w),y),a) member(f1(restrict(f30(u,v,w),y),a),second(x))*. % 299.97/300.39 101368[16:Res:59052.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(restrict(f29(u,v,w),y),a) member(f1(restrict(f29(u,v,w),y),a),first(x))*. % 299.97/300.39 101326[16:Res:59052.1,1020.0] || -> equal(restrict(converse(intersection(u,v)),w),a) member(ordered_pair(second(f1(restrict(converse(intersection(u,v)),w),a)),first(f1(restrict(converse(intersection(u,v)),w),a))),u)*. % 299.97/300.39 101325[16:Res:59052.1,1021.0] || -> equal(restrict(converse(intersection(u,v)),w),a) member(ordered_pair(second(f1(restrict(converse(intersection(u,v)),w),a)),first(f1(restrict(converse(intersection(u,v)),w),a))),v)*. % 299.97/300.39 101628[16:Res:59053.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(restrict(f30(u,v,w),y),a) member(f1(a,restrict(f30(u,v,w),y)),second(x))*. % 299.97/300.39 101627[16:Res:59053.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(restrict(f29(u,v,w),y),a) member(f1(a,restrict(f29(u,v,w),y)),first(x))*. % 299.97/300.39 101586[16:Res:59053.1,1020.0] || -> equal(restrict(converse(intersection(u,v)),w),a) member(ordered_pair(second(f1(a,restrict(converse(intersection(u,v)),w))),first(f1(a,restrict(converse(intersection(u,v)),w)))),u)*. % 299.97/300.39 101585[16:Res:59053.1,1021.0] || -> equal(restrict(converse(intersection(u,v)),w),a) member(ordered_pair(second(f1(a,restrict(converse(intersection(u,v)),w))),first(f1(a,restrict(converse(intersection(u,v)),w)))),v)*. % 299.97/300.39 101718[16:Res:57867.1,1441.0] || disjoint(complement(converse(non_ordered_pair(u,v))),w)* -> equal(w,a) equal(ordered_pair(second(f24(w)),first(f24(w))),v)* equal(ordered_pair(second(f24(w)),first(f24(w))),u)*. % 299.97/300.39 101906[0:Res:3813.2,5066.1] || disjoint(u,universal_set) member(v,compose(w,x)) equal(y,v) -> equal(f30(v,w,x),u) member(f1(f30(v,w,x),u),second(y))*. % 299.97/300.39 101905[0:Res:3813.2,5025.1] || disjoint(u,universal_set) member(v,compose(w,x)) equal(y,v) -> equal(f29(v,w,x),u) member(f1(f29(v,w,x),u),first(y))*. % 299.97/300.39 102039[0:Res:3831.2,5066.1] || disjoint(u,universal_set) member(v,compose(w,x)) equal(y,v) -> equal(u,f30(v,w,x)) member(f1(u,f30(v,w,x)),second(y))*. % 299.97/300.39 102038[0:Res:3831.2,5025.1] || disjoint(u,universal_set) member(v,compose(w,x)) equal(y,v) -> equal(u,f29(v,w,x)) member(f1(u,f29(v,w,x)),first(y))*. % 299.97/300.39 105380[0:Res:554.1,26698.0] || -> single_valued_set(cross_product(apply(cross_product(u,v),w),x)) member(first(ordered_pair(f19(cross_product(apply(cross_product(u,v),w),x)),f20(cross_product(apply(cross_product(u,v),w),x)))),sigma(v))*. % 299.97/300.39 105379[0:Res:553.1,26698.0] || -> single_valued_set(cross_product(apply(cross_product(u,v),w),x)) member(first(ordered_pair(f19(cross_product(apply(cross_product(u,v),w),x)),f21(cross_product(apply(cross_product(u,v),w),x)))),sigma(v))*. % 299.97/300.39 105314[0:Res:541.1,26698.0] || -> single_valued_set(cross_product(u,apply(cross_product(v,w),x))) member(second(ordered_pair(f19(cross_product(u,apply(cross_product(v,w),x))),f20(cross_product(u,apply(cross_product(v,w),x))))),sigma(w))*. % 299.97/300.39 105313[0:Res:540.1,26698.0] || -> single_valued_set(cross_product(u,apply(cross_product(v,w),x))) member(second(ordered_pair(f19(cross_product(u,apply(cross_product(v,w),x))),f21(cross_product(u,apply(cross_product(v,w),x))))),sigma(w))*. % 299.97/300.39 105303[0:Res:3839.1,26698.0] || -> equal(powerset(u),apply(cross_product(v,w),x)) subset(f1(powerset(u),apply(cross_product(v,w),x)),u)* member(f1(powerset(u),apply(cross_product(v,w),x)),sigma(w))*. % 299.97/300.39 105250[0:Res:3821.1,26698.0] || -> equal(apply(cross_product(u,v),w),powerset(x)) subset(f1(apply(cross_product(u,v),w),powerset(x)),x)* member(f1(apply(cross_product(u,v),w),powerset(x)),sigma(v))*. % 299.97/300.39 105450[3:AED:105421.2] || member(u,flip_range_of(second(v))) member(v,cross_product(w,x))* -> member(ordered_pair(f12(u,second(v)),ordered_pair(f14(u,second(v)),f13(u,second(v)))),sigma(x))*. % 299.97/300.39 105451[3:AED:105420.2] || member(u,rotate_right(second(v))) member(v,cross_product(w,x))* -> member(ordered_pair(f10(u,second(v)),ordered_pair(f11(u,second(v)),f9(u,second(v)))),sigma(x))*. % 299.97/300.39 7252[0:Res:52.1,547.0] || member(u,rotate_right(range_of(cross_product(v,w)))) -> member(ordered_pair(f10(u,range_of(cross_product(v,w))),ordered_pair(f11(u,range_of(cross_product(v,w))),f9(u,range_of(cross_product(v,w))))),w)*. % 299.97/300.39 7251[0:Res:58.1,547.0] || member(u,flip_range_of(range_of(cross_product(v,w)))) -> member(ordered_pair(f12(u,range_of(cross_product(v,w))),ordered_pair(f14(u,range_of(cross_product(v,w))),f13(u,range_of(cross_product(v,w))))),w)*. % 299.97/300.39 7298[0:Res:52.1,560.0] || member(u,rotate_right(domain_of(cross_product(v,w)))) -> member(ordered_pair(f10(u,domain_of(cross_product(v,w))),ordered_pair(f11(u,domain_of(cross_product(v,w))),f9(u,domain_of(cross_product(v,w))))),v)*. % 299.97/300.39 7297[0:Res:58.1,560.0] || member(u,flip_range_of(domain_of(cross_product(v,w)))) -> member(ordered_pair(f12(u,domain_of(cross_product(v,w))),ordered_pair(f14(u,domain_of(cross_product(v,w))),f13(u,domain_of(cross_product(v,w))))),v)*. % 299.97/300.39 14432[0:SpR:134.1,372.0] || member(u,compose(v,w)) -> equal(ordered_pair(singleton_set(f29(u,v,w)),non_ordered_pair(f29(u,v,w),f30(u,v,w))),non_ordered_pair(singleton_set(singleton_set(f29(u,v,w))),u))**. % 299.97/300.39 14854[0:Res:94.1,1020.0] || member(u,image(converse(intersection(v,w)),x)) -> member(ordered_pair(second(first(f22(u,converse(intersection(v,w)),x))),first(first(f22(u,converse(intersection(v,w)),x)))),v)*. % 299.97/300.39 14960[0:Res:94.1,1021.0] || member(u,image(converse(intersection(v,w)),x)) -> member(ordered_pair(second(first(f22(u,converse(intersection(v,w)),x))),first(first(f22(u,converse(intersection(v,w)),x)))),w)*. % 299.97/300.39 17606[3:MRR:17581.0,6177.1] || member(second(first(f22(cross_product(u,v),w,x))),v)* member(first(first(f22(cross_product(u,v),w,x))),u)* member(cross_product(u,v),image(w,x)) -> . % 299.97/300.39 17943[0:Res:281.1,1014.0] || -> disjoint(u,intersection(v,converse(cross_product(w,x)))) member(first(ordered_pair(second(f23(u,intersection(v,converse(cross_product(w,x))))),first(f23(u,intersection(v,converse(cross_product(w,x))))))),w)*. % 299.97/300.39 17923[0:Res:278.1,1014.0] || -> subset(intersection(u,converse(cross_product(v,w))),x) member(first(ordered_pair(second(f17(intersection(u,converse(cross_product(v,w))),x)),first(f17(intersection(u,converse(cross_product(v,w))),x)))),v)*. % 299.97/300.39 17920[0:Res:277.1,1014.0] || -> disjoint(intersection(u,converse(cross_product(v,w))),x) member(first(ordered_pair(second(f23(intersection(u,converse(cross_product(v,w))),x)),first(f23(intersection(u,converse(cross_product(v,w))),x)))),v)*. % 299.97/300.39 17918[0:Res:289.1,1014.0] || -> disjoint(u,intersection(converse(cross_product(v,w)),x)) member(first(ordered_pair(second(f23(u,intersection(converse(cross_product(v,w)),x))),first(f23(u,intersection(converse(cross_product(v,w)),x))))),v)*. % 299.97/300.39 17904[0:Res:285.1,1014.0] || -> disjoint(intersection(converse(cross_product(u,v)),w),x) member(first(ordered_pair(second(f23(intersection(converse(cross_product(u,v)),w),x)),first(f23(intersection(converse(cross_product(u,v)),w),x)))),u)*. % 299.97/300.39 17902[0:Res:286.1,1014.0] || -> subset(intersection(converse(cross_product(u,v)),w),x) member(first(ordered_pair(second(f17(intersection(converse(cross_product(u,v)),w),x)),first(f17(intersection(converse(cross_product(u,v)),w),x)))),u)*. % 299.97/300.39 18067[0:Res:281.1,1015.0] || -> disjoint(u,intersection(v,converse(cross_product(w,x)))) member(second(ordered_pair(second(f23(u,intersection(v,converse(cross_product(w,x))))),first(f23(u,intersection(v,converse(cross_product(w,x))))))),x)*. % 299.97/300.39 18047[0:Res:278.1,1015.0] || -> subset(intersection(u,converse(cross_product(v,w))),x) member(second(ordered_pair(second(f17(intersection(u,converse(cross_product(v,w))),x)),first(f17(intersection(u,converse(cross_product(v,w))),x)))),w)*. % 299.97/300.39 18044[0:Res:277.1,1015.0] || -> disjoint(intersection(u,converse(cross_product(v,w))),x) member(second(ordered_pair(second(f23(intersection(u,converse(cross_product(v,w))),x)),first(f23(intersection(u,converse(cross_product(v,w))),x)))),w)*. % 299.97/300.39 18042[0:Res:289.1,1015.0] || -> disjoint(u,intersection(converse(cross_product(v,w)),x)) member(second(ordered_pair(second(f23(u,intersection(converse(cross_product(v,w)),x))),first(f23(u,intersection(converse(cross_product(v,w)),x))))),w)*. % 299.97/300.39 18028[0:Res:285.1,1015.0] || -> disjoint(intersection(converse(cross_product(u,v)),w),x) member(second(ordered_pair(second(f23(intersection(converse(cross_product(u,v)),w),x)),first(f23(intersection(converse(cross_product(u,v)),w),x)))),v)*. % 299.97/300.39 18026[0:Res:286.1,1015.0] || -> subset(intersection(converse(cross_product(u,v)),w),x) member(second(ordered_pair(second(f17(intersection(converse(cross_product(u,v)),w),x)),first(f17(intersection(converse(cross_product(u,v)),w),x)))),v)*. % 299.97/300.39 18284[0:Res:279.1,314.0] || member(ordered_pair(f19(intersection(u,intersection(complement(v),complement(w)))),f21(intersection(u,intersection(complement(v),complement(w))))),union(v,w))* -> single_valued_set(intersection(u,intersection(complement(v),complement(w)))). % 299.97/300.39 18421[0:Res:280.1,314.0] || member(ordered_pair(f19(intersection(u,intersection(complement(v),complement(w)))),f20(intersection(u,intersection(complement(v),complement(w))))),union(v,w))* -> single_valued_set(intersection(u,intersection(complement(v),complement(w)))). % 299.97/300.39 18503[0:Res:287.1,314.0] || member(ordered_pair(f19(intersection(intersection(complement(u),complement(v)),w)),f21(intersection(intersection(complement(u),complement(v)),w))),union(u,v))* -> single_valued_set(intersection(intersection(complement(u),complement(v)),w)). % 299.97/300.39 18645[0:Res:288.1,314.0] || member(ordered_pair(f19(intersection(intersection(complement(u),complement(v)),w)),f20(intersection(intersection(complement(u),complement(v)),w))),union(u,v))* -> single_valued_set(intersection(intersection(complement(u),complement(v)),w)). % 299.97/300.39 18978[0:Res:378.3,1139.1] ordered_pair_predicate(f7(u,v)) || member(second(f7(u,v)),w)* member(first(f7(u,v)),x)* member(u,second(v)) -> member(u,sigma(cross_product(x,w)))*. % 299.97/300.39 19107[0:Res:378.3,1140.1] ordered_pair_predicate(f4(u,v)) || member(second(f4(u,v)),w)* member(first(f4(u,v)),x)* member(u,first(v)) -> member(u,sigma(cross_product(x,w)))*. % 299.97/300.39 21148[2:Res:3651.2,1472.1] || member(first(f22(restrict(u,v),w,x)),cross_product(v,universal_set))* member(first(f22(restrict(u,v),w,x)),u)* member(restrict(u,v),image(w,x)) -> . % 299.97/300.39 21259[0:Res:556.1,1421.0] || -> disjoint(u,cross_product(ordered_pair(v,w),x)) equal(first(f23(u,cross_product(ordered_pair(v,w),x))),non_ordered_pair(v,w))** equal(first(f23(u,cross_product(ordered_pair(v,w),x))),singleton_set(v)). % 299.97/300.39 21258[0:Res:552.1,1421.0] || -> subset(cross_product(ordered_pair(u,v),w),x) equal(first(f17(cross_product(ordered_pair(u,v),w),x)),non_ordered_pair(u,v))** equal(first(f17(cross_product(ordered_pair(u,v),w),x)),singleton_set(u)). % 299.97/300.39 21257[0:Res:551.1,1421.0] || -> disjoint(cross_product(ordered_pair(u,v),w),x) equal(first(f23(cross_product(ordered_pair(u,v),w),x)),non_ordered_pair(u,v))** equal(first(f23(cross_product(ordered_pair(u,v),w),x)),singleton_set(u)). % 299.97/300.39 21241[0:Res:427.1,1421.0] || member(u,range_of(intersection(v,ordered_pair(w,x))))* -> equal(f27(u,intersection(v,ordered_pair(w,x))),non_ordered_pair(w,x)) equal(f27(u,intersection(v,ordered_pair(w,x))),singleton_set(w)). % 299.97/300.39 21239[0:Res:456.1,1421.0] || member(u,sigma(intersection(v,ordered_pair(w,x))))* -> equal(f16(u,intersection(v,ordered_pair(w,x))),non_ordered_pair(w,x)) equal(f16(u,intersection(v,ordered_pair(w,x))),singleton_set(w)). % 299.97/300.39 21237[0:Res:494.1,1421.0] || member(u,domain_of(intersection(v,ordered_pair(w,x))))* -> equal(f8(u,intersection(v,ordered_pair(w,x))),non_ordered_pair(w,x)) equal(f8(u,intersection(v,ordered_pair(w,x))),singleton_set(w)). % 299.97/300.39 21229[0:Res:543.1,1421.0] || -> disjoint(u,cross_product(v,ordered_pair(w,x))) equal(second(f23(u,cross_product(v,ordered_pair(w,x)))),non_ordered_pair(w,x))** equal(second(f23(u,cross_product(v,ordered_pair(w,x)))),singleton_set(w)). % 299.97/300.39 21224[0:Res:539.1,1421.0] || -> subset(cross_product(u,ordered_pair(v,w)),x) equal(second(f17(cross_product(u,ordered_pair(v,w)),x)),non_ordered_pair(v,w))** equal(second(f17(cross_product(u,ordered_pair(v,w)),x)),singleton_set(v)). % 299.97/300.39 21223[0:Res:538.1,1421.0] || -> disjoint(cross_product(u,ordered_pair(v,w)),x) equal(second(f23(cross_product(u,ordered_pair(v,w)),x)),non_ordered_pair(v,w))** equal(second(f23(cross_product(u,ordered_pair(v,w)),x)),singleton_set(v)). % 299.97/300.39 21219[0:Res:426.1,1421.0] || member(u,range_of(intersection(ordered_pair(v,w),x)))* -> equal(f27(u,intersection(ordered_pair(v,w),x)),non_ordered_pair(v,w)) equal(f27(u,intersection(ordered_pair(v,w),x)),singleton_set(v)). % 299.97/300.39 21217[0:Res:455.1,1421.0] || member(u,sigma(intersection(ordered_pair(v,w),x)))* -> equal(f16(u,intersection(ordered_pair(v,w),x)),non_ordered_pair(v,w)) equal(f16(u,intersection(ordered_pair(v,w),x)),singleton_set(v)). % 299.97/300.39 21215[0:Res:493.1,1421.0] || member(u,domain_of(intersection(ordered_pair(v,w),x)))* -> equal(f8(u,intersection(ordered_pair(v,w),x)),non_ordered_pair(v,w)) equal(f8(u,intersection(ordered_pair(v,w),x)),singleton_set(v)). % 299.97/300.39 21480[3:Res:540.1,6192.1] || member(u,v) equal(first(u),w) -> single_valued_set(cross_product(x,second(u))) member(second(ordered_pair(f19(cross_product(x,second(u))),f21(cross_product(x,second(u))))),apply(v,w))*. % 299.97/300.39 21640[3:Res:541.1,6192.1] || member(u,v) equal(first(u),w) -> single_valued_set(cross_product(x,second(u))) member(second(ordered_pair(f19(cross_product(x,second(u))),f20(cross_product(x,second(u))))),apply(v,w))*. % 299.97/300.39 21719[3:Res:553.1,6192.1] || member(u,v) equal(first(u),w) -> single_valued_set(cross_product(second(u),x)) member(first(ordered_pair(f19(cross_product(second(u),x)),f21(cross_product(second(u),x)))),apply(v,w))*. % 299.97/300.39 21808[3:Res:554.1,6192.1] || member(u,v) equal(first(u),w) -> single_valued_set(cross_product(second(u),x)) member(first(ordered_pair(f19(cross_product(second(u),x)),f20(cross_product(second(u),x)))),apply(v,w))*. % 299.97/300.39 22332[0:Res:5009.3,7.0] little_set(u) little_set(v) || member(f1(w,first(ordered_pair(v,u))),v)* member(f1(w,first(ordered_pair(v,u))),w)* -> equal(w,first(ordered_pair(v,u))). % 299.97/300.39 22489[0:Res:52.1,5018.1] ordered_pair_predicate(u) || member(v,rotate_right(f2(u))) equal(w,u) -> member(ordered_pair(f10(v,f2(u)),ordered_pair(f11(v,f2(u)),f9(v,f2(u)))),first(w))*. % 299.97/300.39 22488[0:Res:58.1,5018.1] ordered_pair_predicate(u) || member(v,flip_range_of(f2(u))) equal(w,u) -> member(ordered_pair(f12(v,f2(u)),ordered_pair(f14(v,f2(u)),f13(v,f2(u)))),first(w))*. % 299.97/300.39 22576[0:Res:5054.3,7.0] little_set(u) little_set(v) || member(f1(w,second(ordered_pair(v,u))),u)* member(f1(w,second(ordered_pair(v,u))),w)* -> equal(w,second(ordered_pair(v,u))). % 299.97/300.39 22697[0:Res:52.1,5063.1] ordered_pair_predicate(u) || member(v,rotate_right(f3(u))) equal(w,u) -> member(ordered_pair(f10(v,f3(u)),ordered_pair(f11(v,f3(u)),f9(v,f3(u)))),second(w))*. % 299.97/300.39 22696[0:Res:58.1,5063.1] ordered_pair_predicate(u) || member(v,flip_range_of(f3(u))) equal(w,u) -> member(ordered_pair(f12(v,f3(u)),ordered_pair(f14(v,f3(u)),f13(v,f3(u)))),second(w))*. % 299.97/300.39 22836[3:Res:3821.1,6192.1] || member(u,v) equal(first(u),w) -> equal(second(u),powerset(x)) subset(f1(second(u),powerset(x)),x)* member(f1(second(u),powerset(x)),apply(v,w))*. % 299.97/300.39 22807[0:Res:3821.1,8.0] || -> equal(non_ordered_pair(u,v),powerset(w)) subset(f1(non_ordered_pair(u,v),powerset(w)),w)* equal(f1(non_ordered_pair(u,v),powerset(w)),v) equal(f1(non_ordered_pair(u,v),powerset(w)),u). % 299.97/300.39 22931[3:Res:3839.1,6192.1] || member(u,v) equal(first(u),w) -> equal(powerset(x),second(u)) subset(f1(powerset(x),second(u)),x)* member(f1(powerset(x),second(u)),apply(v,w))*. % 299.97/300.39 22902[0:Res:3839.1,8.0] || -> equal(powerset(u),non_ordered_pair(v,w)) subset(f1(powerset(u),non_ordered_pair(v,w)),u)* equal(f1(powerset(u),non_ordered_pair(v,w)),w) equal(f1(powerset(u),non_ordered_pair(v,w)),v). % 299.97/300.39 23170[0:Res:1350.1,8.0] || member(u,image(v,intersection(non_ordered_pair(w,x),y)))* -> equal(f22(u,v,intersection(non_ordered_pair(w,x),y)),x) equal(f22(u,v,intersection(non_ordered_pair(w,x),y)),w). % 299.97/300.39 23255[0:Res:1351.1,8.0] || member(u,image(v,intersection(w,non_ordered_pair(x,y))))* -> equal(f22(u,v,intersection(w,non_ordered_pair(x,y))),y) equal(f22(u,v,intersection(w,non_ordered_pair(x,y))),x). % 299.97/300.39 23340[0:Res:1285.1,8.0] || member(u,apply(intersection(non_ordered_pair(v,w),x),y))* -> equal(f28(u,intersection(non_ordered_pair(v,w),x),y),w) equal(f28(u,intersection(non_ordered_pair(v,w),x),y),v). % 299.97/300.39 23441[0:Res:1286.1,8.0] || member(u,apply(intersection(v,non_ordered_pair(w,x)),y))* -> equal(f28(u,intersection(v,non_ordered_pair(w,x)),y),x) equal(f28(u,intersection(v,non_ordered_pair(w,x)),y),w). % 299.97/300.39 24358[0:Res:556.1,1163.0] || member(u,v) -> disjoint(w,cross_product(converse(u),x)) member(ordered_pair(second(first(f23(w,cross_product(converse(u),x)))),first(first(f23(w,cross_product(converse(u),x))))),sigma(v))*. % 299.97/300.39 24355[0:Res:552.1,1163.0] || member(u,v) -> subset(cross_product(converse(u),w),x) member(ordered_pair(second(first(f17(cross_product(converse(u),w),x))),first(first(f17(cross_product(converse(u),w),x)))),sigma(v))*. % 299.97/300.39 24354[0:Res:551.1,1163.0] || member(u,v) -> disjoint(cross_product(converse(u),w),x) member(ordered_pair(second(first(f23(cross_product(converse(u),w),x))),first(first(f23(cross_product(converse(u),w),x)))),sigma(v))*. % 299.97/300.39 24334[0:Res:456.1,1163.0] || member(u,sigma(intersection(v,converse(w)))) member(w,x) -> member(ordered_pair(second(f16(u,intersection(v,converse(w)))),first(f16(u,intersection(v,converse(w))))),sigma(x))*. % 299.97/300.39 24323[0:Res:543.1,1163.0] || member(u,v) -> disjoint(w,cross_product(x,converse(u))) member(ordered_pair(second(second(f23(w,cross_product(x,converse(u))))),first(second(f23(w,cross_product(x,converse(u)))))),sigma(v))*. % 299.97/300.39 24316[0:Res:539.1,1163.0] || member(u,v) -> subset(cross_product(w,converse(u)),x) member(ordered_pair(second(second(f17(cross_product(w,converse(u)),x))),first(second(f17(cross_product(w,converse(u)),x)))),sigma(v))*. % 299.97/300.39 24315[0:Res:538.1,1163.0] || member(u,v) -> disjoint(cross_product(w,converse(u)),x) member(ordered_pair(second(second(f23(cross_product(w,converse(u)),x))),first(second(f23(cross_product(w,converse(u)),x)))),sigma(v))*. % 299.97/300.39 24307[0:Res:455.1,1163.0] || member(u,sigma(intersection(converse(v),w))) member(v,x) -> member(ordered_pair(second(f16(u,intersection(converse(v),w))),first(f16(u,intersection(converse(v),w)))),sigma(x))*. % 299.97/300.39 25260[0:MRR:25237.0,5.0] || -> member(f1(intersection(complement(u),complement(v)),complement(w)),union(u,v))* member(f1(intersection(complement(u),complement(v)),complement(w)),w)* equal(intersection(complement(u),complement(v)),complement(w)). % 299.97/300.39 25394[0:Res:1544.2,1009.0] || member(u,image(v,w)) subset(v,converse(x))* subset(x,y)* -> member(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),y)*. % 299.97/300.39 25800[3:Res:1344.1,6192.1] || member(u,image(v,cross_product(second(w),x))) member(w,y) equal(first(w),z) -> member(first(f22(u,v,cross_product(second(w),x))),apply(y,z))*. % 299.97/300.39 25936[3:Res:1555.1,6192.1] || member(u,image(intersection(second(v),w),x)) member(v,y) equal(first(v),z) -> member(first(f22(u,intersection(second(v),w),x)),apply(y,z))*. % 299.97/300.39 26093[3:Res:1556.1,6192.1] || member(u,image(intersection(v,second(w)),x)) member(w,y) equal(first(w),z) -> member(first(f22(u,intersection(v,second(w)),x)),apply(y,z))*. % 299.97/300.39 26162[3:Res:1280.1,6192.1] || member(u,apply(cross_product(v,second(w)),x)) member(w,y) equal(first(w),z) -> member(second(f28(u,cross_product(v,second(w)),x)),apply(y,z))*. % 299.97/300.39 26688[0:Res:3651.2,1562.1] || member(second(f28(u,v,w)),cross_product(x,universal_set))* member(second(f28(u,v,w)),y)* member(u,apply(v,w)) -> member(u,sigma(restrict(y,x)))*. % 299.97/300.39 26687[0:Res:384.1,1562.1] little_set(second(f28(u,v,w))) || member(u,apply(v,w)) -> member(second(f28(u,v,w)),union(x,y))* member(u,sigma(intersection(complement(x),complement(y)))). % 299.97/300.39 26850[0:Res:3651.2,1542.1] || member(first(f22(u,v,w)),cross_product(x,universal_set))* member(first(f22(u,v,w)),y)* member(u,image(v,w)) disjoint(restrict(y,x),v)* -> . % 299.97/300.39 26882[3:MRR:26835.0,6177.1] || member(second(first(f22(u,v,w))),x)* member(first(first(f22(u,v,w))),y)* member(u,image(v,w)) disjoint(cross_product(y,x),v)* -> . % 299.97/300.39 28596[0:Res:1159.2,3811.0] || member(u,range_of(v)) member(v,w) -> equal(x,f27(u,v)) member(f1(x,f27(u,v)),x)* member(f1(x,f27(u,v)),sigma(sigma(w)))*. % 299.97/300.39 28595[0:Res:1160.2,3811.0] || member(u,sigma(v)) member(v,w) -> equal(x,f16(u,v)) member(f1(x,f16(u,v)),x)* member(f1(x,f16(u,v)),sigma(sigma(w)))*. % 299.97/300.39 28594[0:Res:1161.2,3811.0] || member(u,domain_of(v)) member(v,w) -> equal(x,f8(u,v)) member(f1(x,f8(u,v)),x)* member(f1(x,f8(u,v)),sigma(sigma(w)))*. % 299.97/300.39 28973[0:Res:1159.2,3829.0] || member(u,range_of(v)) member(v,w) -> equal(f27(u,v),x) member(f1(f27(u,v),x),x)* member(f1(f27(u,v),x),sigma(sigma(w)))*. % 299.97/300.39 28972[0:Res:1160.2,3829.0] || member(u,sigma(v)) member(v,w) -> equal(f16(u,v),x) member(f1(f16(u,v),x),x)* member(f1(f16(u,v),x),sigma(sigma(w)))*. % 299.97/300.39 28971[0:Res:1161.2,3829.0] || member(u,domain_of(v)) member(v,w) -> equal(f8(u,v),x) member(f1(f8(u,v),x),x)* member(f1(f8(u,v),x),sigma(sigma(w)))*. % 299.97/300.39 29849[0:Res:1351.1,5019.1] || member(u,image(v,intersection(w,f4(x,y)))) member(x,first(y)) equal(z,y) -> member(f22(u,v,intersection(w,f4(x,y))),first(z))*. % 299.97/300.39 29820[0:Res:1286.1,5019.1] || member(u,apply(intersection(v,f4(w,x)),y)) member(w,first(x)) equal(z,x) -> member(f28(u,intersection(v,f4(w,x)),y),first(z))*. % 299.97/300.39 29810[0:Res:1350.1,5019.1] || member(u,image(v,intersection(f4(w,x),y))) member(w,first(x)) equal(z,x) -> member(f22(u,v,intersection(f4(w,x),y)),first(z))*. % 299.97/300.39 29792[0:Res:1285.1,5019.1] || member(u,apply(intersection(f4(v,w),x),y)) member(v,first(w)) equal(z,w) -> member(f28(u,intersection(f4(v,w),x),y),first(z))*. % 299.97/300.39 30262[0:Res:1351.1,5020.1] || member(u,image(v,intersection(w,f6(x,y)))) member(x,second(y)) equal(z,y) -> member(f22(u,v,intersection(w,f6(x,y))),first(z))*. % 299.97/300.39 30233[0:Res:1286.1,5020.1] || member(u,apply(intersection(v,f6(w,x)),y)) member(w,second(x)) equal(z,x) -> member(f28(u,intersection(v,f6(w,x)),y),first(z))*. % 299.97/300.39 30223[0:Res:1350.1,5020.1] || member(u,image(v,intersection(f6(w,x),y))) member(w,second(x)) equal(z,x) -> member(f22(u,v,intersection(f6(w,x),y)),first(z))*. % 299.97/300.39 30205[0:Res:1285.1,5020.1] || member(u,apply(intersection(f6(v,w),x),y)) member(v,second(w)) equal(z,w) -> member(f28(u,intersection(f6(v,w),x),y),first(z))*. % 299.97/300.39 30373[0:Res:1351.1,5022.1] || member(u,image(v,intersection(w,f9(x,y)))) member(x,rotate_right(y)) equal(z,x) -> member(f22(u,v,intersection(w,f9(x,y))),first(z))*. % 299.97/300.39 30344[0:Res:1286.1,5022.1] || member(u,apply(intersection(v,f9(w,x)),y)) member(w,rotate_right(x)) equal(z,w) -> member(f28(u,intersection(v,f9(w,x)),y),first(z))*. % 299.97/300.39 30334[0:Res:1350.1,5022.1] || member(u,image(v,intersection(f9(w,x),y))) member(w,rotate_right(x)) equal(z,w) -> member(f22(u,v,intersection(f9(w,x),y)),first(z))*. % 299.97/300.39 30316[0:Res:1285.1,5022.1] || member(u,apply(intersection(f9(v,w),x),y)) member(v,rotate_right(w)) equal(z,v) -> member(f28(u,intersection(f9(v,w),x),y),first(z))*. % 299.97/300.39 30516[0:Res:1351.1,5024.1] || member(u,image(v,intersection(w,f12(x,y)))) member(x,flip_range_of(y)) equal(z,x) -> member(f22(u,v,intersection(w,f12(x,y))),first(z))*. % 299.97/300.39 30487[0:Res:1286.1,5024.1] || member(u,apply(intersection(v,f12(w,x)),y)) member(w,flip_range_of(x)) equal(z,w) -> member(f28(u,intersection(v,f12(w,x)),y),first(z))*. % 299.97/300.39 30477[0:Res:1350.1,5024.1] || member(u,image(v,intersection(f12(w,x),y))) member(w,flip_range_of(x)) equal(z,w) -> member(f22(u,v,intersection(f12(w,x),y)),first(z))*. % 299.97/300.39 30459[0:Res:1285.1,5024.1] || member(u,apply(intersection(f12(v,w),x),y)) member(v,flip_range_of(w)) equal(z,v) -> member(f28(u,intersection(f12(v,w),x),y),first(z))*. % 299.97/300.39 30669[0:Res:1351.1,5064.1] || member(u,image(v,intersection(w,f5(x,y)))) member(x,first(y)) equal(z,y) -> member(f22(u,v,intersection(w,f5(x,y))),second(z))*. % 299.97/300.39 30640[0:Res:1286.1,5064.1] || member(u,apply(intersection(v,f5(w,x)),y)) member(w,first(x)) equal(z,x) -> member(f28(u,intersection(v,f5(w,x)),y),second(z))*. % 299.97/300.39 30630[0:Res:1350.1,5064.1] || member(u,image(v,intersection(f5(w,x),y))) member(w,first(x)) equal(z,x) -> member(f22(u,v,intersection(f5(w,x),y)),second(z))*. % 299.97/300.39 30612[0:Res:1285.1,5064.1] || member(u,apply(intersection(f5(v,w),x),y)) member(v,first(w)) equal(z,w) -> member(f28(u,intersection(f5(v,w),x),y),second(z))*. % 299.97/300.39 30826[0:Res:1351.1,5065.1] || member(u,image(v,intersection(w,f7(x,y)))) member(x,second(y)) equal(z,y) -> member(f22(u,v,intersection(w,f7(x,y))),second(z))*. % 299.97/300.39 30797[0:Res:1286.1,5065.1] || member(u,apply(intersection(v,f7(w,x)),y)) member(w,second(x)) equal(z,x) -> member(f28(u,intersection(v,f7(w,x)),y),second(z))*. % 299.97/300.39 30787[0:Res:1350.1,5065.1] || member(u,image(v,intersection(f7(w,x),y))) member(w,second(x)) equal(z,x) -> member(f22(u,v,intersection(f7(w,x),y)),second(z))*. % 299.97/300.39 30769[0:Res:1285.1,5065.1] || member(u,apply(intersection(f7(v,w),x),y)) member(v,second(w)) equal(z,w) -> member(f28(u,intersection(f7(v,w),x),y),second(z))*. % 299.97/300.39 31447[0:Res:3824.2,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(w,intersection(f3(u),x)) member(f1(w,intersection(f3(u),x)),w)* member(f1(w,intersection(f3(u),x)),second(v))*. % 299.97/300.39 31446[0:Res:3824.2,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(w,intersection(f2(u),x)) member(f1(w,intersection(f2(u),x)),w)* member(f1(w,intersection(f2(u),x)),first(v))*. % 299.97/300.39 31411[3:Res:3824.2,6176.0] || -> equal(u,intersection(converse(v),w)) member(f1(u,intersection(converse(v),w)),u) ordered_pair_predicate(ordered_pair(second(f1(u,intersection(converse(v),w))),first(f1(u,intersection(converse(v),w)))))*. % 299.97/300.39 31390[0:Res:3824.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),intersection(w,x)) member(f1(f3(u),intersection(w,x)),w)* member(f1(f3(u),intersection(w,x)),second(v))*. % 299.97/300.39 31389[0:Res:3824.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),intersection(w,x)) member(f1(f2(u),intersection(w,x)),w)* member(f1(f2(u),intersection(w,x)),first(v))*. % 299.97/300.39 31353[3:Res:3824.1,6176.0] || -> equal(converse(u),intersection(v,w)) member(f1(converse(u),intersection(v,w)),v) ordered_pair_predicate(ordered_pair(second(f1(converse(u),intersection(v,w))),first(f1(converse(u),intersection(v,w)))))*. % 299.97/300.39 31657[0:Res:3825.2,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(w,intersection(x,f3(u))) member(f1(w,intersection(x,f3(u))),w)* member(f1(w,intersection(x,f3(u))),second(v))*. % 299.97/300.39 31656[0:Res:3825.2,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(w,intersection(x,f2(u))) member(f1(w,intersection(x,f2(u))),w)* member(f1(w,intersection(x,f2(u))),first(v))*. % 299.97/300.39 31621[3:Res:3825.2,6176.0] || -> equal(u,intersection(v,converse(w))) member(f1(u,intersection(v,converse(w))),u) ordered_pair_predicate(ordered_pair(second(f1(u,intersection(v,converse(w)))),first(f1(u,intersection(v,converse(w))))))*. % 299.97/300.39 31600[0:Res:3825.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),intersection(w,x)) member(f1(f3(u),intersection(w,x)),x)* member(f1(f3(u),intersection(w,x)),second(v))*. % 299.97/300.39 31599[0:Res:3825.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),intersection(w,x)) member(f1(f2(u),intersection(w,x)),x)* member(f1(f2(u),intersection(w,x)),first(v))*. % 299.97/300.39 31563[3:Res:3825.1,6176.0] || -> equal(converse(u),intersection(v,w)) member(f1(converse(u),intersection(v,w)),w) ordered_pair_predicate(ordered_pair(second(f1(converse(u),intersection(v,w))),first(f1(converse(u),intersection(v,w)))))*. % 299.97/300.39 31840[0:Res:3842.2,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(f3(u),w),x) member(f1(intersection(f3(u),w),x),x)* member(f1(intersection(f3(u),w),x),second(v))*. % 299.97/300.39 31839[0:Res:3842.2,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(f2(u),w),x) member(f1(intersection(f2(u),w),x),x)* member(f1(intersection(f2(u),w),x),first(v))*. % 299.97/300.39 31804[3:Res:3842.2,6176.0] || -> equal(intersection(converse(u),v),w) member(f1(intersection(converse(u),v),w),w) ordered_pair_predicate(ordered_pair(second(f1(intersection(converse(u),v),w)),first(f1(intersection(converse(u),v),w))))*. % 299.97/300.39 31783[0:Res:3842.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,x),f3(u)) member(f1(intersection(w,x),f3(u)),w)* member(f1(intersection(w,x),f3(u)),second(v))*. % 299.97/300.39 31782[0:Res:3842.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,x),f2(u)) member(f1(intersection(w,x),f2(u)),w)* member(f1(intersection(w,x),f2(u)),first(v))*. % 299.97/300.39 31746[3:Res:3842.1,6176.0] || -> equal(intersection(u,v),converse(w)) member(f1(intersection(u,v),converse(w)),u) ordered_pair_predicate(ordered_pair(second(f1(intersection(u,v),converse(w))),first(f1(intersection(u,v),converse(w)))))*. % 299.97/300.39 32021[0:Res:3843.2,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,f3(u)),x) member(f1(intersection(w,f3(u)),x),x)* member(f1(intersection(w,f3(u)),x),second(v))*. % 299.97/300.39 32020[0:Res:3843.2,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,f2(u)),x) member(f1(intersection(w,f2(u)),x),x)* member(f1(intersection(w,f2(u)),x),first(v))*. % 299.97/300.39 31985[3:Res:3843.2,6176.0] || -> equal(intersection(u,converse(v)),w) member(f1(intersection(u,converse(v)),w),w) ordered_pair_predicate(ordered_pair(second(f1(intersection(u,converse(v)),w)),first(f1(intersection(u,converse(v)),w))))*. % 299.97/300.39 31964[0:Res:3843.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,x),f3(u)) member(f1(intersection(w,x),f3(u)),x)* member(f1(intersection(w,x),f3(u)),second(v))*. % 299.97/300.39 31963[0:Res:3843.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(intersection(w,x),f2(u)) member(f1(intersection(w,x),f2(u)),x)* member(f1(intersection(w,x),f2(u)),first(v))*. % 299.97/300.39 31927[3:Res:3843.1,6176.0] || -> equal(intersection(u,v),converse(w)) member(f1(intersection(u,v),converse(w)),v) ordered_pair_predicate(ordered_pair(second(f1(intersection(u,v),converse(w))),first(f1(intersection(u,v),converse(w)))))*. % 299.97/300.39 32174[2:Res:1008.2,644.1] || member(u,range_of(v)) member(f27(u,v),converse(second(f8(ordered_pair(u,first(f27(u,v))),w))))* member(ordered_pair(u,first(f27(u,v))),domain_of(w)) -> . % 299.97/300.39 32155[0:Res:1008.2,8.0] || member(u,range_of(v)) member(f27(u,v),converse(non_ordered_pair(w,x)))* -> equal(ordered_pair(u,first(f27(u,v))),x)* equal(ordered_pair(u,first(f27(u,v))),w)*. % 299.97/300.39 32345[2:Res:1007.2,644.1] || member(u,domain_of(v)) member(f8(u,v),converse(second(f8(ordered_pair(second(f8(u,v)),u),w))))* member(ordered_pair(second(f8(u,v)),u),domain_of(w)) -> . % 299.97/300.39 32326[0:Res:1007.2,8.0] || member(u,domain_of(v)) member(f8(u,v),converse(non_ordered_pair(w,x)))* -> equal(ordered_pair(second(f8(u,v)),u),x)* equal(ordered_pair(second(f8(u,v)),u),w)*. % 299.97/300.39 33652[0:Rew:108.1,33571.2,108.1,33571.1] || member(u,range_of(converse(non_ordered_pair(v,w)))) -> equal(ordered_pair(u,first(f27(u,converse(non_ordered_pair(v,w))))),w)** equal(ordered_pair(u,first(f27(u,converse(non_ordered_pair(v,w))))),v)**. % 299.97/300.39 33653[0:Rew:39.1,33567.2,39.1,33567.1] || member(u,domain_of(converse(non_ordered_pair(v,w)))) -> equal(ordered_pair(second(f8(u,converse(non_ordered_pair(v,w)))),u),w)** equal(ordered_pair(second(f8(u,converse(non_ordered_pair(v,w)))),u),v)**. % 299.97/300.39 33740[3:SSi:33716.0,371.0] little_set(u) single_valued_set(intersection(complement(v),complement(w))) || member(x,intersection(complement(v),complement(w))) -> member(ordered_pair(f2(x),u),union(v,w))* equal(u,f3(x)). % 299.97/300.39 34320[0:Res:46.1,1437.0] || member(u,converse(range_of(non_ordered_pair(v,w)))) -> equal(f27(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),w)** equal(f27(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34311[0:Res:963.2,1437.0] || member(u,range_of(v)) subset(v,range_of(non_ordered_pair(w,x))) -> equal(f27(f27(u,v),non_ordered_pair(w,x)),x)** equal(f27(f27(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34309[0:Res:964.2,1437.0] || member(u,sigma(v)) subset(v,range_of(non_ordered_pair(w,x))) -> equal(f27(f16(u,v),non_ordered_pair(w,x)),x)** equal(f27(f16(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34307[0:Res:965.2,1437.0] || member(u,domain_of(v)) subset(v,range_of(non_ordered_pair(w,x))) -> equal(f27(f8(u,v),non_ordered_pair(w,x)),x)** equal(f27(f8(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34266[0:Res:100.1,1437.0] || -> disjoint(u,range_of(non_ordered_pair(v,w))) equal(f27(f23(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f27(f23(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34237[0:Res:99.1,1437.0] || -> disjoint(range_of(non_ordered_pair(u,v)),w) equal(f27(f23(range_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),v)** equal(f27(f23(range_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),u)**. % 299.97/300.39 34235[0:Res:71.1,1437.0] || -> subset(range_of(non_ordered_pair(u,v)),w) equal(f27(f17(range_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),v)** equal(f27(f17(range_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),u)**. % 299.97/300.39 34529[0:Res:1152.2,1438.0] || member(u,non_ordered_pair(v,w)) -> single_valued_set(u) equal(f16(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34528[0:Res:1151.2,1438.0] || member(u,non_ordered_pair(v,w)) -> single_valued_set(u) equal(f16(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34492[0:Res:46.1,1438.0] || member(u,converse(sigma(non_ordered_pair(v,w)))) -> equal(f16(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34483[0:Res:963.2,1438.0] || member(u,range_of(v)) subset(v,sigma(non_ordered_pair(w,x))) -> equal(f16(f27(u,v),non_ordered_pair(w,x)),x)** equal(f16(f27(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34481[0:Res:964.2,1438.0] || member(u,sigma(v)) subset(v,sigma(non_ordered_pair(w,x))) -> equal(f16(f16(u,v),non_ordered_pair(w,x)),x)** equal(f16(f16(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34479[0:Res:965.2,1438.0] || member(u,domain_of(v)) subset(v,sigma(non_ordered_pair(w,x))) -> equal(f16(f8(u,v),non_ordered_pair(w,x)),x)** equal(f16(f8(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34438[0:Res:100.1,1438.0] || -> disjoint(u,sigma(non_ordered_pair(v,w))) equal(f16(f23(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f16(f23(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34404[0:Res:99.1,1438.0] || -> disjoint(sigma(non_ordered_pair(u,v)),w) equal(f16(f23(sigma(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),v)** equal(f16(f23(sigma(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),u)**. % 299.97/300.39 34402[0:Res:71.1,1438.0] || -> subset(sigma(non_ordered_pair(u,v)),w) equal(f16(f17(sigma(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),v)** equal(f16(f17(sigma(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),u)**. % 299.97/300.39 34657[0:Res:46.1,1439.0] || member(u,converse(domain_of(non_ordered_pair(v,w)))) -> equal(f8(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),w)** equal(f8(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34648[0:Res:963.2,1439.0] || member(u,range_of(v)) subset(v,domain_of(non_ordered_pair(w,x))) -> equal(f8(f27(u,v),non_ordered_pair(w,x)),x)** equal(f8(f27(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34646[0:Res:964.2,1439.0] || member(u,sigma(v)) subset(v,domain_of(non_ordered_pair(w,x))) -> equal(f8(f16(u,v),non_ordered_pair(w,x)),x)** equal(f8(f16(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34644[0:Res:965.2,1439.0] || member(u,domain_of(v)) subset(v,domain_of(non_ordered_pair(w,x))) -> equal(f8(f8(u,v),non_ordered_pair(w,x)),x)** equal(f8(f8(u,v),non_ordered_pair(w,x)),w)**. % 299.97/300.39 34603[0:Res:100.1,1439.0] || -> disjoint(u,domain_of(non_ordered_pair(v,w))) equal(f8(f23(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f8(f23(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34574[0:Res:99.1,1439.0] || -> disjoint(domain_of(non_ordered_pair(u,v)),w) equal(f8(f23(domain_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),v)** equal(f8(f23(domain_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),u)**. % 299.97/300.39 34572[0:Res:71.1,1439.0] || -> subset(domain_of(non_ordered_pair(u,v)),w) equal(f8(f17(domain_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),v)** equal(f8(f17(domain_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),u)**. % 299.97/300.39 35119[0:Res:1274.2,5025.1] || member(u,apply(v,w)) subset(v,f29(x,y,z))* member(x,compose(y,z)) equal(x1,x)* -> member(f28(u,v,w),first(x1))*. % 299.97/300.39 35117[0:Res:1339.2,5025.1] || member(u,image(v,w)) subset(w,f29(x,y,z))* member(x,compose(y,z)) equal(x1,x)* -> member(f22(u,v,w),first(x1))*. % 299.97/300.39 35109[0:Res:556.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,cross_product(f29(u,v,w),z)) member(first(f23(y,cross_product(f29(u,v,w),z))),first(x))*. % 299.97/300.39 35105[0:Res:552.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> subset(cross_product(f29(u,v,w),y),z) member(first(f17(cross_product(f29(u,v,w),y),z)),first(x))*. % 299.97/300.39 35104[0:Res:551.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(cross_product(f29(u,v,w),y),z) member(first(f23(cross_product(f29(u,v,w),y),z)),first(x))*. % 299.97/300.39 35063[0:Res:543.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,cross_product(z,f29(u,v,w))) member(second(f23(y,cross_product(z,f29(u,v,w)))),first(x))*. % 299.97/300.39 35055[0:Res:539.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> subset(cross_product(y,f29(u,v,w)),z) member(second(f17(cross_product(y,f29(u,v,w)),z)),first(x))*. % 299.97/300.39 35054[0:Res:538.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(cross_product(y,f29(u,v,w)),z) member(second(f23(cross_product(y,f29(u,v,w)),z)),first(x))*. % 299.97/300.39 35032[0:Res:94.1,5025.1] || member(u,image(f29(v,w,x),y)) member(v,compose(w,x)) equal(z,v) -> member(first(f22(u,f29(v,w,x),y)),first(z))*. % 299.97/300.39 35289[0:Res:1274.2,5066.1] || member(u,apply(v,w)) subset(v,f30(x,y,z))* member(x,compose(y,z)) equal(x1,x)* -> member(f28(u,v,w),second(x1))*. % 299.97/300.39 35287[0:Res:1339.2,5066.1] || member(u,image(v,w)) subset(w,f30(x,y,z))* member(x,compose(y,z)) equal(x1,x)* -> member(f22(u,v,w),second(x1))*. % 299.97/300.39 35279[0:Res:556.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,cross_product(f30(u,v,w),z)) member(first(f23(y,cross_product(f30(u,v,w),z))),second(x))*. % 299.97/300.39 35275[0:Res:552.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> subset(cross_product(f30(u,v,w),y),z) member(first(f17(cross_product(f30(u,v,w),y),z)),second(x))*. % 299.97/300.39 35274[0:Res:551.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(cross_product(f30(u,v,w),y),z) member(first(f23(cross_product(f30(u,v,w),y),z)),second(x))*. % 299.97/300.39 35233[0:Res:543.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(y,cross_product(z,f30(u,v,w))) member(second(f23(y,cross_product(z,f30(u,v,w)))),second(x))*. % 299.97/300.39 35225[0:Res:539.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> subset(cross_product(y,f30(u,v,w)),z) member(second(f17(cross_product(y,f30(u,v,w)),z)),second(x))*. % 299.97/300.39 35224[0:Res:538.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> disjoint(cross_product(y,f30(u,v,w)),z) member(second(f23(cross_product(y,f30(u,v,w)),z)),second(x))*. % 299.97/300.39 35202[0:Res:94.1,5066.1] || member(u,image(f30(v,w,x),y)) member(v,compose(w,x)) equal(z,v) -> member(first(f22(u,f30(v,w,x),y)),second(z))*. % 299.97/300.39 35386[0:Res:4273.2,5063.1] ordered_pair_predicate(u) || member(v,compose(w,x)) subset(x,f3(u))* equal(y,u)* -> member(ordered_pair(f31(v,w,x),f30(v,w,x)),second(y))*. % 299.97/300.39 35385[0:Res:4273.2,5018.1] ordered_pair_predicate(u) || member(v,compose(w,x)) subset(x,f2(u))* equal(y,u)* -> member(ordered_pair(f31(v,w,x),f30(v,w,x)),first(y))*. % 299.97/300.39 35506[0:Res:4348.2,5063.1] ordered_pair_predicate(u) || member(v,compose(w,x)) subset(w,f3(u))* equal(y,u)* -> member(ordered_pair(f29(v,w,x),f31(v,w,x)),second(y))*. % 299.97/300.39 35505[0:Res:4348.2,5018.1] ordered_pair_predicate(u) || member(v,compose(w,x)) subset(w,f2(u))* equal(y,u)* -> member(ordered_pair(f29(v,w,x),f31(v,w,x)),first(y))*. % 299.97/300.39 35562[0:Res:4112.2,20289.0] ordered_pair_predicate(set_a) || member(ordered_pair(second(set_a),first(set_a)),sigma(u)) disjoint(converse(f16(ordered_pair(second(set_a),first(set_a)),u)),converse(f16(ordered_pair(second(set_a),first(set_a)),u)))* -> . % 299.97/300.39 35560[0:Res:4112.2,20288.0] ordered_pair_predicate(set_b) || member(ordered_pair(second(set_b),first(set_b)),sigma(u)) disjoint(converse(f16(ordered_pair(second(set_b),first(set_b)),u)),converse(f16(ordered_pair(second(set_b),first(set_b)),u)))* -> . % 299.97/300.39 35640[0:MRR:35639.0,117.1] || member(ordered_pair(second(f28(u,v,w)),w),sigma(x)) member(u,apply(v,w)) disjoint(converse(f16(ordered_pair(second(f28(u,v,w)),w),x)),v)* -> . % 299.97/300.39 35642[0:MRR:35641.0,92.1] || member(ordered_pair(u,first(f22(u,v,w))),sigma(x)) member(u,image(v,w)) disjoint(converse(f16(ordered_pair(u,first(f22(u,v,w))),x)),w)* -> . % 299.97/300.39 35721[0:Res:4111.2,20289.0] ordered_pair_predicate(set_a) || member(ordered_pair(second(set_a),first(set_a)),first(u)) disjoint(converse(f4(ordered_pair(second(set_a),first(set_a)),u)),converse(f4(ordered_pair(second(set_a),first(set_a)),u)))* -> . % 299.97/300.39 35719[0:Res:4111.2,20288.0] ordered_pair_predicate(set_b) || member(ordered_pair(second(set_b),first(set_b)),first(u)) disjoint(converse(f4(ordered_pair(second(set_b),first(set_b)),u)),converse(f4(ordered_pair(second(set_b),first(set_b)),u)))* -> . % 299.97/300.39 35799[0:MRR:35798.0,117.1] || member(ordered_pair(second(f28(u,v,w)),w),first(x)) member(u,apply(v,w)) disjoint(converse(f4(ordered_pair(second(f28(u,v,w)),w),x)),v)* -> . % 299.97/300.39 35801[0:MRR:35800.0,92.1] || member(ordered_pair(u,first(f22(u,v,w))),first(x)) member(u,image(v,w)) disjoint(converse(f4(ordered_pair(u,first(f22(u,v,w))),x)),w)* -> . % 299.97/300.39 35940[0:Res:4110.2,20289.0] ordered_pair_predicate(set_a) || member(ordered_pair(second(set_a),first(set_a)),second(u)) disjoint(converse(f7(ordered_pair(second(set_a),first(set_a)),u)),converse(f7(ordered_pair(second(set_a),first(set_a)),u)))* -> . % 299.97/300.39 35938[0:Res:4110.2,20288.0] ordered_pair_predicate(set_b) || member(ordered_pair(second(set_b),first(set_b)),second(u)) disjoint(converse(f7(ordered_pair(second(set_b),first(set_b)),u)),converse(f7(ordered_pair(second(set_b),first(set_b)),u)))* -> . % 299.97/300.39 36018[0:MRR:36017.0,117.1] || member(ordered_pair(second(f28(u,v,w)),w),second(x)) member(u,apply(v,w)) disjoint(converse(f7(ordered_pair(second(f28(u,v,w)),w),x)),v)* -> . % 299.97/300.39 36020[0:MRR:36019.0,92.1] || member(ordered_pair(u,first(f22(u,v,w))),second(x)) member(u,image(v,w)) disjoint(converse(f7(ordered_pair(u,first(f22(u,v,w))),x)),w)* -> . % 299.97/300.39 36338[0:Res:33.2,4926.2] little_set(u) || member(f8(v,w),x)* member(f8(v,w),y)* member(v,domain_of(w)) equal(u,v)* -> member(u,domain_of(intersection(y,x)))*. % 299.97/300.39 36337[0:Res:120.1,4926.2] little_set(u) || member(f8(v,w),apply(x,y)) member(v,domain_of(w)) equal(u,v) -> member(u,domain_of(second(f28(f8(v,w),x,y))))*. % 299.97/300.39 36499[0:Res:33.2,4972.2] little_set(u) || member(f27(v,w),x)* member(f27(v,w),y)* member(v,range_of(w)) equal(u,v)* -> member(u,range_of(intersection(y,x)))*. % 299.97/300.39 36498[0:Res:120.1,4972.2] little_set(u) || member(f27(v,w),apply(x,y)) member(v,range_of(w)) equal(u,v) -> member(u,range_of(second(f28(f27(v,w),x,y))))*. % 299.97/300.39 38842[0:Res:10.2,4457.3] little_set(cross_product(u,v)) ordered_pair_predicate(w) || equal(cross_product(u,v),x)* member(second(w),v)* member(first(w),u)* -> member(w,sigma(non_ordered_pair(y,x)))*. % 299.97/300.39 38841[0:Res:9.2,4457.3] little_set(cross_product(u,v)) ordered_pair_predicate(w) || equal(cross_product(u,v),x)* member(second(w),v)* member(first(w),u)* -> member(w,sigma(non_ordered_pair(x,y)))*. % 299.97/300.39 38930[3:Rew:108.1,38906.1] || member(u,range_of(v)) member(w,range_of(u)) member(f27(u,v),x)* equal(first(f27(u,v)),y)* -> member(f27(w,u),apply(x,y))*. % 299.97/300.39 39026[3:Rew:108.1,39001.1] || member(u,range_of(v)) member(w,sigma(u)) member(f27(u,v),x)* equal(first(f27(u,v)),y)* -> member(f16(w,u),apply(x,y))*. % 299.97/300.39 39100[3:Rew:108.1,39076.1] || member(u,range_of(v)) member(w,domain_of(u)) member(f27(u,v),x)* equal(first(f27(u,v)),y)* -> member(f8(w,u),apply(x,y))*. % 299.97/300.39 40244[0:Res:963.2,5068.1] || member(u,range_of(v)) subset(v,ordered_pair(f10(w,x),f11(w,x)))* member(w,rotate_right(x)) equal(y,w)* -> member(f27(u,v),second(y))*. % 299.97/300.39 40242[0:Res:964.2,5068.1] || member(u,sigma(v)) subset(v,ordered_pair(f10(w,x),f11(w,x)))* member(w,rotate_right(x)) equal(y,w)* -> member(f16(u,v),second(y))*. % 299.97/300.39 40240[0:Res:965.2,5068.1] || member(u,domain_of(v)) subset(v,ordered_pair(f10(w,x),f11(w,x)))* member(w,rotate_right(x)) equal(y,w)* -> member(f8(u,v),second(y))*. % 299.97/300.39 40199[0:Res:100.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,ordered_pair(f10(u,v),f11(u,v))) member(f23(x,ordered_pair(f10(u,v),f11(u,v))),second(w))*. % 299.97/300.39 40170[0:Res:99.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(ordered_pair(f10(u,v),f11(u,v)),x) member(f23(ordered_pair(f10(u,v),f11(u,v)),x),second(w))*. % 299.97/300.39 40168[0:Res:71.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> subset(ordered_pair(f10(u,v),f11(u,v)),x) member(f17(ordered_pair(f10(u,v),f11(u,v)),x),second(w))*. % 299.97/300.39 40424[0:Res:963.2,5070.1] || member(u,range_of(v)) subset(v,ordered_pair(f13(w,x),f14(w,x)))* member(w,flip_range_of(x)) equal(y,w)* -> member(f27(u,v),second(y))*. % 299.97/300.39 40422[0:Res:964.2,5070.1] || member(u,sigma(v)) subset(v,ordered_pair(f13(w,x),f14(w,x)))* member(w,flip_range_of(x)) equal(y,w)* -> member(f16(u,v),second(y))*. % 299.97/300.39 40420[0:Res:965.2,5070.1] || member(u,domain_of(v)) subset(v,ordered_pair(f13(w,x),f14(w,x)))* member(w,flip_range_of(x)) equal(y,w)* -> member(f8(u,v),second(y))*. % 299.97/300.39 40379[0:Res:100.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,ordered_pair(f13(u,v),f14(u,v))) member(f23(x,ordered_pair(f13(u,v),f14(u,v))),second(w))*. % 299.97/300.39 40350[0:Res:99.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(ordered_pair(f13(u,v),f14(u,v)),x) member(f23(ordered_pair(f13(u,v),f14(u,v)),x),second(w))*. % 299.97/300.39 40348[0:Res:71.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(ordered_pair(f13(u,v),f14(u,v)),x) member(f17(ordered_pair(f13(u,v),f14(u,v)),x),second(w))*. % 299.97/300.39 40749[0:Res:1468.2,314.0] || member(u,image(v,w)) member(f22(u,v,w),converse(intersection(complement(x),complement(y)))) member(ordered_pair(u,first(f22(u,v,w))),union(x,y))* -> . % 299.97/300.39 40895[0:Res:1464.2,314.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(intersection(complement(x),complement(y)))) member(ordered_pair(second(f28(u,v,w)),w),union(x,y))* -> . % 299.97/300.39 41214[0:Res:4286.1,43.0] || member(u,compose(v,intersection(w,cross_product(x,y)))) -> member(second(ordered_pair(f31(u,v,intersection(w,cross_product(x,y))),f30(u,v,intersection(w,cross_product(x,y))))),y)*. % 299.97/300.39 41213[0:Res:4286.1,42.0] || member(u,compose(v,intersection(w,cross_product(x,y)))) -> member(first(ordered_pair(f31(u,v,intersection(w,cross_product(x,y))),f30(u,v,intersection(w,cross_product(x,y))))),x)*. % 299.97/300.39 41453[0:Res:4285.1,43.0] || member(u,compose(v,intersection(cross_product(w,x),y))) -> member(second(ordered_pair(f31(u,v,intersection(cross_product(w,x),y)),f30(u,v,intersection(cross_product(w,x),y)))),x)*. % 299.97/300.39 41452[0:Res:4285.1,42.0] || member(u,compose(v,intersection(cross_product(w,x),y))) -> member(first(ordered_pair(f31(u,v,intersection(cross_product(w,x),y)),f30(u,v,intersection(cross_product(w,x),y)))),w)*. % 299.97/300.39 41591[0:Res:4361.1,43.0] || member(u,compose(intersection(v,cross_product(w,x)),y)) -> member(second(ordered_pair(f29(u,intersection(v,cross_product(w,x)),y),f31(u,intersection(v,cross_product(w,x)),y))),x)*. % 299.97/300.39 41590[0:Res:4361.1,42.0] || member(u,compose(intersection(v,cross_product(w,x)),y)) -> member(first(ordered_pair(f29(u,intersection(v,cross_product(w,x)),y),f31(u,intersection(v,cross_product(w,x)),y))),w)*. % 299.97/300.39 41713[0:Res:4360.1,43.0] || member(u,compose(intersection(cross_product(v,w),x),y)) -> member(second(ordered_pair(f29(u,intersection(cross_product(v,w),x),y),f31(u,intersection(cross_product(v,w),x),y))),w)*. % 299.97/300.39 41712[0:Res:4360.1,42.0] || member(u,compose(intersection(cross_product(v,w),x),y)) -> member(first(ordered_pair(f29(u,intersection(cross_product(v,w),x),y),f31(u,intersection(cross_product(v,w),x),y))),v)*. % 299.97/300.39 42022[3:Res:960.2,6212.0] || member(u,infinity) subset(infinity,converse(second(v)))* member(v,w)* equal(first(v),x)* -> member(ordered_pair(second(successor(u)),first(successor(u))),apply(w,x))*. % 299.97/300.39 42093[3:Rew:108.1,42039.4] || member(u,range_of(v)) subset(v,converse(second(w)))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(u,first(f27(u,v))),apply(x,y))*. % 299.97/300.39 42094[3:Rew:39.1,42035.4] || member(u,domain_of(v)) subset(v,converse(second(w)))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(second(f8(u,v)),u),apply(x,y))*. % 299.97/300.39 42099[3:Rew:95.1,42030.3] || member(u,image(v,converse(second(w)))) member(w,x) equal(first(w),y) -> member(ordered_pair(u,first(f22(u,v,converse(second(w))))),apply(x,y))*. % 299.97/300.39 42100[3:Rew:119.1,42008.3] || member(u,apply(converse(second(v)),w)) member(v,x) equal(first(v),y) -> member(ordered_pair(second(f28(u,converse(second(v)),w)),w),apply(x,y))*. % 299.97/300.39 42191[0:Res:67.1,4927.2] little_set(u) || member(f28(v,w,x),sigma(y)) member(v,apply(w,x)) equal(u,x) -> member(u,domain_of(f16(f28(v,w,x),y)))*. % 299.97/300.39 42190[0:Res:21.1,4927.2] little_set(u) || member(f28(v,w,x),first(y)) member(v,apply(w,x)) equal(u,x) -> member(u,domain_of(f4(f28(v,w,x),y)))*. % 299.97/300.39 42189[0:Res:26.1,4927.2] little_set(u) || member(f28(v,w,x),second(y)) member(v,apply(w,x)) equal(u,x) -> member(u,domain_of(f7(f28(v,w,x),y)))*. % 299.97/300.39 42267[0:Res:67.1,4973.2] little_set(u) || member(f22(v,w,x),sigma(y)) member(v,image(w,x)) equal(u,v) -> member(u,range_of(f16(f22(v,w,x),y)))*. % 299.97/300.39 42266[0:Res:21.1,4973.2] little_set(u) || member(f22(v,w,x),first(y)) member(v,image(w,x)) equal(u,v) -> member(u,range_of(f4(f22(v,w,x),y)))*. % 299.97/300.39 42265[0:Res:26.1,4973.2] little_set(u) || member(f22(v,w,x),second(y)) member(v,image(w,x)) equal(u,v) -> member(u,range_of(f7(f22(v,w,x),y)))*. % 299.97/300.39 42383[0:Res:4279.1,282.0] || member(u,compose(v,cross_product(w,restrict(x,y)))) -> member(second(ordered_pair(f31(u,v,cross_product(w,restrict(x,y))),f30(u,v,cross_product(w,restrict(x,y))))),x)*. % 299.97/300.39 42381[0:Res:4279.1,15955.0] || member(u,compose(v,cross_product(w,sigma(powerset(x))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,sigma(powerset(x)))),f30(u,v,cross_product(w,sigma(powerset(x)))))),x)*. % 299.97/300.39 42377[0:Res:4279.1,32.0] || member(u,compose(v,cross_product(w,intersection(x,y)))) -> member(second(ordered_pair(f31(u,v,cross_product(w,intersection(x,y))),f30(u,v,cross_product(w,intersection(x,y))))),y)*. % 299.97/300.39 42376[0:Res:4279.1,31.0] || member(u,compose(v,cross_product(w,intersection(x,y)))) -> member(second(ordered_pair(f31(u,v,cross_product(w,intersection(x,y))),f30(u,v,cross_product(w,intersection(x,y))))),x)*. % 299.97/300.39 42367[0:Res:4279.1,10964.0] || member(u,compose(v,cross_product(w,complement(complement(x))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,complement(complement(x)))),f30(u,v,cross_product(w,complement(complement(x)))))),x)*. % 299.97/300.39 42352[0:Res:4279.1,4578.0] || member(u,compose(v,cross_product(w,rotate_right(x)))) equal(y,second(ordered_pair(f31(u,v,cross_product(w,rotate_right(x))),f30(u,v,cross_product(w,rotate_right(x))))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 42349[0:Res:4279.1,4549.0] || member(u,compose(v,cross_product(w,flip_range_of(x)))) equal(y,second(ordered_pair(f31(u,v,cross_product(w,flip_range_of(x))),f30(u,v,cross_product(w,flip_range_of(x))))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 42494[0:Res:4278.1,282.0] || member(u,compose(v,cross_product(restrict(w,x),y))) -> member(first(ordered_pair(f31(u,v,cross_product(restrict(w,x),y)),f30(u,v,cross_product(restrict(w,x),y)))),w)*. % 299.97/300.39 42492[0:Res:4278.1,15955.0] || member(u,compose(v,cross_product(sigma(powerset(w)),x))) -> member(first(ordered_pair(f31(u,v,cross_product(sigma(powerset(w)),x)),f30(u,v,cross_product(sigma(powerset(w)),x)))),w)*. % 299.97/300.39 42488[0:Res:4278.1,32.0] || member(u,compose(v,cross_product(intersection(w,x),y))) -> member(first(ordered_pair(f31(u,v,cross_product(intersection(w,x),y)),f30(u,v,cross_product(intersection(w,x),y)))),x)*. % 299.97/300.39 42487[0:Res:4278.1,31.0] || member(u,compose(v,cross_product(intersection(w,x),y))) -> member(first(ordered_pair(f31(u,v,cross_product(intersection(w,x),y)),f30(u,v,cross_product(intersection(w,x),y)))),w)*. % 299.97/300.39 42478[0:Res:4278.1,10964.0] || member(u,compose(v,cross_product(complement(complement(w)),x))) -> member(first(ordered_pair(f31(u,v,cross_product(complement(complement(w)),x)),f30(u,v,cross_product(complement(complement(w)),x)))),w)*. % 299.97/300.39 42463[0:Res:4278.1,4578.0] || member(u,compose(v,cross_product(rotate_right(w),x))) equal(y,first(ordered_pair(f31(u,v,cross_product(rotate_right(w),x)),f30(u,v,cross_product(rotate_right(w),x)))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 42460[0:Res:4278.1,4549.0] || member(u,compose(v,cross_product(flip_range_of(w),x))) equal(y,first(ordered_pair(f31(u,v,cross_product(flip_range_of(w),x)),f30(u,v,cross_product(flip_range_of(w),x)))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 42641[0:Res:4354.1,282.0] || member(u,compose(cross_product(v,restrict(w,x)),y)) -> member(second(ordered_pair(f29(u,cross_product(v,restrict(w,x)),y),f31(u,cross_product(v,restrict(w,x)),y))),w)*. % 299.97/300.39 42639[0:Res:4354.1,15955.0] || member(u,compose(cross_product(v,sigma(powerset(w))),x)) -> member(second(ordered_pair(f29(u,cross_product(v,sigma(powerset(w))),x),f31(u,cross_product(v,sigma(powerset(w))),x))),w)*. % 299.97/300.39 42635[0:Res:4354.1,32.0] || member(u,compose(cross_product(v,intersection(w,x)),y)) -> member(second(ordered_pair(f29(u,cross_product(v,intersection(w,x)),y),f31(u,cross_product(v,intersection(w,x)),y))),x)*. % 299.97/300.39 42634[0:Res:4354.1,31.0] || member(u,compose(cross_product(v,intersection(w,x)),y)) -> member(second(ordered_pair(f29(u,cross_product(v,intersection(w,x)),y),f31(u,cross_product(v,intersection(w,x)),y))),w)*. % 299.97/300.39 42625[0:Res:4354.1,10964.0] || member(u,compose(cross_product(v,complement(complement(w))),x)) -> member(second(ordered_pair(f29(u,cross_product(v,complement(complement(w))),x),f31(u,cross_product(v,complement(complement(w))),x))),w)*. % 299.97/300.39 42610[0:Res:4354.1,4578.0] || member(u,compose(cross_product(v,rotate_right(w)),x)) equal(y,second(ordered_pair(f29(u,cross_product(v,rotate_right(w)),x),f31(u,cross_product(v,rotate_right(w)),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 42607[0:Res:4354.1,4549.0] || member(u,compose(cross_product(v,flip_range_of(w)),x)) equal(y,second(ordered_pair(f29(u,cross_product(v,flip_range_of(w)),x),f31(u,cross_product(v,flip_range_of(w)),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 42783[0:Res:4353.1,282.0] || member(u,compose(cross_product(restrict(v,w),x),y)) -> member(first(ordered_pair(f29(u,cross_product(restrict(v,w),x),y),f31(u,cross_product(restrict(v,w),x),y))),v)*. % 299.97/300.39 42781[0:Res:4353.1,15955.0] || member(u,compose(cross_product(sigma(powerset(v)),w),x)) -> member(first(ordered_pair(f29(u,cross_product(sigma(powerset(v)),w),x),f31(u,cross_product(sigma(powerset(v)),w),x))),v)*. % 299.97/300.39 42777[0:Res:4353.1,32.0] || member(u,compose(cross_product(intersection(v,w),x),y)) -> member(first(ordered_pair(f29(u,cross_product(intersection(v,w),x),y),f31(u,cross_product(intersection(v,w),x),y))),w)*. % 299.97/300.39 42776[0:Res:4353.1,31.0] || member(u,compose(cross_product(intersection(v,w),x),y)) -> member(first(ordered_pair(f29(u,cross_product(intersection(v,w),x),y),f31(u,cross_product(intersection(v,w),x),y))),v)*. % 299.97/300.39 42767[0:Res:4353.1,10964.0] || member(u,compose(cross_product(complement(complement(v)),w),x)) -> member(first(ordered_pair(f29(u,cross_product(complement(complement(v)),w),x),f31(u,cross_product(complement(complement(v)),w),x))),v)*. % 299.97/300.39 42752[0:Res:4353.1,4578.0] || member(u,compose(cross_product(rotate_right(v),w),x)) equal(y,first(ordered_pair(f29(u,cross_product(rotate_right(v),w),x),f31(u,cross_product(rotate_right(v),w),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 42749[0:Res:4353.1,4549.0] || member(u,compose(cross_product(flip_range_of(v),w),x)) equal(y,first(ordered_pair(f29(u,cross_product(flip_range_of(v),w),x),f31(u,cross_product(flip_range_of(v),w),x))))* -> ordered_pair_predicate(y)*. % 299.97/300.39 42915[0:Res:960.2,1442.0] || member(u,infinity) subset(infinity,apply(non_ordered_pair(v,w),x)) -> equal(f28(successor(u),non_ordered_pair(v,w),x),w)** equal(f28(successor(u),non_ordered_pair(v,w),x),v)**. % 299.97/300.39 43092[0:Res:960.2,1443.0] || member(u,infinity) subset(infinity,image(v,non_ordered_pair(w,x))) -> equal(f22(successor(u),v,non_ordered_pair(w,x)),x)** equal(f22(successor(u),v,non_ordered_pair(w,x)),w)**. % 299.97/300.39 43296[3:SSi:43273.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* -> member(ordered_pair(second(u),first(u)),union(w,x))* member(u,converse(intersection(v,intersection(complement(w),complement(x)))))*. % 299.97/300.39 43360[0:Res:4108.2,68.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),apply(v,w)) member(converse(second(f28(ordered_pair(second(u),first(u)),v,w))),x)* -> member(u,sigma(x)). % 299.97/300.39 43458[0:MRR:43457.0,106.1] || member(ordered_pair(u,first(f27(u,v))),apply(w,x)) member(u,range_of(v)) disjoint(converse(second(f28(ordered_pair(u,first(f27(u,v))),w,x))),v)* -> . % 299.97/300.39 43462[0:MRR:43461.0,37.1] || member(ordered_pair(second(f8(u,v)),u),apply(w,x)) member(u,domain_of(v)) disjoint(converse(second(f28(ordered_pair(second(f8(u,v)),u),w,x))),v)* -> . % 299.97/300.39 43542[0:Res:5356.4,68.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* member(rotate_right(x),y)* -> member(ordered_pair(w,ordered_pair(v,u)),sigma(y))*. % 299.97/300.39 43541[0:Res:5356.4,98.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* member(ordered_pair(w,ordered_pair(v,u)),y)* disjoint(y,rotate_right(x))* -> . % 299.97/300.39 43572[0:MRR:43571.0,48.1] little_set(u) || member(v,rotate_right(w)) member(ordered_pair(f9(v,w),ordered_pair(ordered_pair(f10(v,w),f11(v,w)),u)),x)* -> member(ordered_pair(u,v),rotate_right(x)). % 299.97/300.39 43574[0:MRR:43573.0,54.1] little_set(u) || member(v,flip_range_of(w)) member(ordered_pair(f12(v,w),ordered_pair(ordered_pair(f13(v,w),f14(v,w)),u)),x)* -> member(ordered_pair(u,v),rotate_right(x)). % 299.97/300.39 43707[0:Res:6051.4,68.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x)* member(flip_range_of(x),y)* -> member(ordered_pair(w,ordered_pair(v,u)),sigma(y))*. % 299.97/300.39 43706[0:Res:6051.4,98.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x)* member(ordered_pair(w,ordered_pair(v,u)),y)* disjoint(y,flip_range_of(x))* -> . % 299.97/300.39 43739[0:MRR:43738.0,48.1] little_set(u) || member(v,rotate_right(w)) member(ordered_pair(u,ordered_pair(ordered_pair(f10(v,w),f11(v,w)),f9(v,w))),x)* -> member(ordered_pair(u,v),flip_range_of(x)). % 299.97/300.39 43741[0:MRR:43740.0,54.1] little_set(u) || member(v,flip_range_of(w)) member(ordered_pair(u,ordered_pair(ordered_pair(f13(v,w),f14(v,w)),f12(v,w))),x)* -> member(ordered_pair(u,v),flip_range_of(x)). % 299.97/300.39 43819[3:Res:6214.3,68.0] || member(u,image(v,second(w))) member(w,x)* equal(first(w),y)* member(apply(x,y),z)* -> member(f22(u,v,second(w)),sigma(z))*. % 299.97/300.39 43818[3:Res:6214.3,98.0] || member(u,image(v,second(w))) member(w,x)* equal(first(w),y)* member(f22(u,v,second(w)),z)* disjoint(z,apply(x,y))* -> . % 299.97/300.39 43879[3:Res:6215.3,68.0] || member(u,apply(second(v),w)) member(v,x)* equal(first(v),y)* member(apply(x,y),z)* -> member(f28(u,second(v),w),sigma(z))*. % 299.97/300.39 43878[3:Res:6215.3,98.0] || member(u,apply(second(v),w)) member(v,x)* equal(first(v),y)* member(f28(u,second(v),w),z)* disjoint(z,apply(x,y))* -> . % 299.97/300.39 44024[0:MRR:43987.0,43987.1,85.1,83.1] || member(u,f19(non_ordered_pair(v,w)))* equal(x,v)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),w)** member(u,first(x))*. % 299.97/300.39 44025[0:MRR:43986.0,43986.1,85.1,83.1] || member(u,f21(non_ordered_pair(v,w)))* equal(x,v)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),w)** member(u,second(x))*. % 299.97/300.39 44026[0:MRR:43973.0,43973.1,85.1,83.1] || member(u,f19(non_ordered_pair(v,w)))* equal(x,w)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),v)** member(u,first(x))*. % 299.97/300.39 44027[0:MRR:43972.0,43972.1,85.1,83.1] || member(u,f21(non_ordered_pair(v,w)))* equal(x,w)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),v)** member(u,second(x))*. % 299.97/300.39 44168[0:MRR:44131.0,44131.1,84.1,83.1] || member(u,f19(non_ordered_pair(v,w)))* equal(x,v)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),w)** member(u,first(x))*. % 299.97/300.39 44169[0:MRR:44130.0,44130.1,84.1,83.1] || member(u,f20(non_ordered_pair(v,w)))* equal(x,v)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),w)** member(u,second(x))*. % 299.97/300.39 44170[0:MRR:44117.0,44117.1,84.1,83.1] || member(u,f19(non_ordered_pair(v,w)))* equal(x,w)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),v)** member(u,first(x))*. % 299.97/300.39 44171[0:MRR:44116.0,44116.1,84.1,83.1] || member(u,f20(non_ordered_pair(v,w)))* equal(x,w)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),v)** member(u,second(x))*. % 299.97/300.39 44227[3:Res:6216.3,70.0] || member(u,image(second(v),w)) member(v,x)* equal(first(v),y)* subset(apply(x,y),z)* -> member(first(f22(u,second(v),w)),z)*. % 299.97/300.39 44326[0:Res:4635.1,1444.0] || member(u,flip_range_of(intersection(v,singleton_set(w)))) -> equal(ordered_pair(f12(u,intersection(v,singleton_set(w))),ordered_pair(f14(u,intersection(v,singleton_set(w))),f13(u,intersection(v,singleton_set(w))))),w)**. % 299.97/300.39 44325[0:Res:4635.1,76.0] || member(u,flip_range_of(intersection(v,powerset(w)))) -> subset(ordered_pair(f12(u,intersection(v,powerset(w))),ordered_pair(f14(u,intersection(v,powerset(w))),f13(u,intersection(v,powerset(w))))),w)*. % 299.97/300.39 44302[0:Res:4635.1,70.0] || member(u,flip_range_of(intersection(v,w))) subset(w,x) -> member(ordered_pair(f12(u,intersection(v,w)),ordered_pair(f14(u,intersection(v,w)),f13(u,intersection(v,w)))),x)*. % 299.97/300.39 44581[0:Res:4634.1,1444.0] || member(u,flip_range_of(intersection(singleton_set(v),w))) -> equal(ordered_pair(f12(u,intersection(singleton_set(v),w)),ordered_pair(f14(u,intersection(singleton_set(v),w)),f13(u,intersection(singleton_set(v),w)))),v)**. % 299.97/300.39 44580[0:Res:4634.1,76.0] || member(u,flip_range_of(intersection(powerset(v),w))) -> subset(ordered_pair(f12(u,intersection(powerset(v),w)),ordered_pair(f14(u,intersection(powerset(v),w)),f13(u,intersection(powerset(v),w)))),v)*. % 299.97/300.39 44557[0:Res:4634.1,70.0] || member(u,flip_range_of(intersection(v,w))) subset(v,x) -> member(ordered_pair(f12(u,intersection(v,w)),ordered_pair(f14(u,intersection(v,w)),f13(u,intersection(v,w)))),x)*. % 299.97/300.39 45100[0:Res:4783.1,1444.0] || member(u,rotate_right(intersection(v,singleton_set(w)))) -> equal(ordered_pair(f10(u,intersection(v,singleton_set(w))),ordered_pair(f11(u,intersection(v,singleton_set(w))),f9(u,intersection(v,singleton_set(w))))),w)**. % 299.97/300.39 45099[0:Res:4783.1,76.0] || member(u,rotate_right(intersection(v,powerset(w)))) -> subset(ordered_pair(f10(u,intersection(v,powerset(w))),ordered_pair(f11(u,intersection(v,powerset(w))),f9(u,intersection(v,powerset(w))))),w)*. % 299.97/300.39 45076[0:Res:4783.1,70.0] || member(u,rotate_right(intersection(v,w))) subset(w,x) -> member(ordered_pair(f10(u,intersection(v,w)),ordered_pair(f11(u,intersection(v,w)),f9(u,intersection(v,w)))),x)*. % 299.97/300.39 46227[0:Res:4782.1,1444.0] || member(u,rotate_right(intersection(singleton_set(v),w))) -> equal(ordered_pair(f10(u,intersection(singleton_set(v),w)),ordered_pair(f11(u,intersection(singleton_set(v),w)),f9(u,intersection(singleton_set(v),w)))),v)**. % 299.97/300.39 46226[0:Res:4782.1,76.0] || member(u,rotate_right(intersection(powerset(v),w))) -> subset(ordered_pair(f10(u,intersection(powerset(v),w)),ordered_pair(f11(u,intersection(powerset(v),w)),f9(u,intersection(powerset(v),w)))),v)*. % 299.97/300.39 46203[0:Res:4782.1,70.0] || member(u,rotate_right(intersection(v,w))) subset(v,x) -> member(ordered_pair(f10(u,intersection(v,w)),ordered_pair(f11(u,intersection(v,w)),f9(u,intersection(v,w)))),x)*. % 299.97/300.39 47300[14:Res:42571.1,1558.0] || subset(universal_set,image(non_ordered_pair(u,v),w)) -> equal(first(f22(ordered_pair(universal_set,x),non_ordered_pair(u,v),w)),v)** equal(first(f22(ordered_pair(universal_set,x),non_ordered_pair(u,v),w)),u)**. % 299.97/300.39 47391[0:Res:3837.1,1444.0] || -> equal(non_ordered_pair(u,v),singleton_set(w)) equal(f1(non_ordered_pair(u,v),singleton_set(w)),v)** equal(f1(non_ordered_pair(u,v),singleton_set(w)),u)** equal(f1(non_ordered_pair(u,v),singleton_set(w)),w)**. % 299.97/300.39 47367[0:Res:3837.1,70.0] || subset(u,v) -> equal(non_ordered_pair(w,x),u) equal(f1(non_ordered_pair(w,x),u),x) equal(f1(non_ordered_pair(w,x),u),w) member(f1(non_ordered_pair(w,x),u),v)*. % 299.97/300.39 47836[0:Res:3819.1,1444.0] || -> equal(singleton_set(u),non_ordered_pair(v,w)) equal(f1(singleton_set(u),non_ordered_pair(v,w)),w)** equal(f1(singleton_set(u),non_ordered_pair(v,w)),v)** equal(f1(singleton_set(u),non_ordered_pair(v,w)),u)**. % 299.97/300.39 47812[0:Res:3819.1,70.0] || subset(u,v) -> equal(u,non_ordered_pair(w,x)) equal(f1(u,non_ordered_pair(w,x)),x) equal(f1(u,non_ordered_pair(w,x)),w) member(f1(u,non_ordered_pair(w,x)),v)*. % 299.97/300.39 55875[16:Rew:54986.0,48762.3] || member(u,image(v,w)) member(f22(u,v,w),x)* equal(first(f22(u,v,w)),y)* -> equal(u,a) member(f24(u),apply(x,y))*. % 299.97/300.39 55876[16:Rew:54986.0,48743.4] little_set(u) || subset(f25,f29(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> equal(u,a) member(ordered_pair(u,f26(u)),first(y))*. % 299.97/300.39 55877[16:Rew:54986.0,48740.4] little_set(u) || subset(f25,f30(v,w,x))* member(v,compose(w,x)) equal(y,v)* -> equal(u,a) member(ordered_pair(u,f26(u)),second(y))*. % 299.97/300.39 55878[16:Rew:54986.0,48738.3] little_set(u) || member(ordered_pair(second(f26(u)),first(f26(u))),sigma(v)) disjoint(converse(f16(ordered_pair(second(f26(u)),first(f26(u))),v)),u)* -> equal(u,a). % 299.97/300.39 55879[16:Rew:54986.0,48735.3] little_set(u) || member(ordered_pair(second(f26(u)),first(f26(u))),first(v)) disjoint(converse(f4(ordered_pair(second(f26(u)),first(f26(u))),v)),u)* -> equal(u,a). % 299.97/300.39 55880[16:Rew:54986.0,48732.3] little_set(u) || member(ordered_pair(second(f26(u)),first(f26(u))),second(v)) disjoint(converse(f7(ordered_pair(second(f26(u)),first(f26(u))),v)),u)* -> equal(u,a). % 299.97/300.39 55881[16:Rew:54986.0,48729.4] little_set(u) || subset(u,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> equal(u,a) member(f26(u),second(x))*. % 299.97/300.39 55882[16:Rew:54986.0,48726.4] little_set(u) || subset(u,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> equal(u,a) member(f26(u),second(x))*. % 299.97/300.39 55883[16:Rew:54986.0,48714.2] || member(ordered_pair(second(f24(u)),first(f24(u))),apply(v,w)) disjoint(converse(second(f28(ordered_pair(second(f24(u)),first(f24(u))),v,w))),u)* -> equal(u,a). % 299.97/300.39 57225[16:Rew:54986.0,50672.3] || subset(f25,converse(second(u)))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),apply(v,w))*. % 299.97/300.39 57226[16:Rew:54986.0,50671.3] || subset(universal_set,converse(second(u)))* member(u,v)* equal(first(u),w)* -> member(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),apply(v,w))*. % 299.97/300.39 59764[16:Rew:54986.0,57287.2] || subset(f25,apply(non_ordered_pair(u,v),w)) -> equal(f28(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w),v)** equal(f28(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w),u)**. % 299.97/300.39 59765[16:Rew:54986.0,57288.2] || subset(universal_set,apply(non_ordered_pair(u,v),w)) -> equal(f28(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w),v)** equal(f28(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w),u)**. % 299.97/300.39 59766[16:Rew:54986.0,57289.2] || subset(f25,image(u,non_ordered_pair(v,w))) -> equal(f22(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w)),w)** equal(f22(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w)),v)**. % 299.97/300.39 59767[16:Rew:54986.0,57290.2] || subset(universal_set,image(u,non_ordered_pair(v,w))) -> equal(f22(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w)),w)** equal(f22(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w)),v)**. % 299.97/300.39 59768[16:Rew:54986.0,57767.1] || member(u,flip_range_of(union(v,a))) member(ordered_pair(f12(u,union(v,a)),ordered_pair(f14(u,union(v,a)),f13(u,union(v,a)))),intersection(complement(v),universal_set))* -> . % 299.97/300.39 59769[16:Rew:54986.0,57768.1] || member(u,rotate_right(union(v,a))) member(ordered_pair(f10(u,union(v,a)),ordered_pair(f11(u,union(v,a)),f9(u,union(v,a)))),intersection(complement(v),universal_set))* -> . % 299.97/300.39 59770[16:Rew:54986.0,57795.1] || member(u,flip_range_of(union(a,v))) member(ordered_pair(f12(u,union(a,v)),ordered_pair(f14(u,union(a,v)),f13(u,union(a,v)))),intersection(universal_set,complement(v)))* -> . % 299.97/300.39 59771[16:Rew:54986.0,57796.1] || member(u,rotate_right(union(a,v))) member(ordered_pair(f10(u,union(a,v)),ordered_pair(f11(u,union(a,v)),f9(u,union(a,v)))),intersection(universal_set,complement(v)))* -> . % 299.97/300.39 58398[16:Rew:54986.0,49725.2] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v) -> equal(singleton_set(ordered_pair(second(u),first(u))),a) member(u,converse(intersection(v,singleton_set(ordered_pair(second(u),first(u))))))*. % 299.97/300.39 59772[16:Rew:54986.0,58657.2,54986.0,58657.1] || -> equal(range_of(non_ordered_pair(u,v)),a) equal(f27(f1(a,range_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),v)** equal(f27(f1(a,range_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),u)**. % 299.97/300.39 59773[16:Rew:54986.0,58658.2,54986.0,58658.1] || -> equal(range_of(non_ordered_pair(u,v)),a) equal(f27(f1(range_of(non_ordered_pair(u,v)),a),non_ordered_pair(u,v)),v)** equal(f27(f1(range_of(non_ordered_pair(u,v)),a),non_ordered_pair(u,v)),u)**. % 299.97/300.39 59774[16:Rew:54986.0,58660.2,54986.0,58660.1] || -> equal(sigma(non_ordered_pair(u,v)),a) equal(f16(f1(a,sigma(non_ordered_pair(u,v))),non_ordered_pair(u,v)),v)** equal(f16(f1(a,sigma(non_ordered_pair(u,v))),non_ordered_pair(u,v)),u)**. % 299.97/300.39 59775[16:Rew:54986.0,58661.2,54986.0,58661.1] || -> equal(sigma(non_ordered_pair(u,v)),a) equal(f16(f1(sigma(non_ordered_pair(u,v)),a),non_ordered_pair(u,v)),v)** equal(f16(f1(sigma(non_ordered_pair(u,v)),a),non_ordered_pair(u,v)),u)**. % 299.97/300.39 59776[16:Rew:54986.0,58665.2,54986.0,58665.1] || -> equal(domain_of(non_ordered_pair(u,v)),a) equal(f8(f1(a,domain_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),v)** equal(f8(f1(a,domain_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),u)**. % 299.97/300.39 59777[16:Rew:54986.0,58666.2,54986.0,58666.1] || -> equal(domain_of(non_ordered_pair(u,v)),a) equal(f8(f1(domain_of(non_ordered_pair(u,v)),a),non_ordered_pair(u,v)),v)** equal(f8(f1(domain_of(non_ordered_pair(u,v)),a),non_ordered_pair(u,v)),u)**. % 299.97/300.39 59778[16:Rew:54986.0,58699.3] || member(u,rotate_right(v)) equal(w,u) -> equal(ordered_pair(f10(u,v),f11(u,v)),a) member(f1(a,ordered_pair(f10(u,v),f11(u,v))),second(w))*. % 299.97/300.39 59779[16:Rew:54986.0,58700.3] || member(u,rotate_right(v)) equal(w,u) -> equal(ordered_pair(f10(u,v),f11(u,v)),a) member(f1(ordered_pair(f10(u,v),f11(u,v)),a),second(w))*. % 299.97/300.39 59780[16:Rew:54986.0,58703.3] || member(u,flip_range_of(v)) equal(w,u) -> equal(ordered_pair(f13(u,v),f14(u,v)),a) member(f1(a,ordered_pair(f13(u,v),f14(u,v))),second(w))*. % 299.97/300.39 59781[16:Rew:54986.0,58704.3] || member(u,flip_range_of(v)) equal(w,u) -> equal(ordered_pair(f13(u,v),f14(u,v)),a) member(f1(ordered_pair(f13(u,v),f14(u,v)),a),second(w))*. % 299.97/300.39 58715[16:Rew:54986.0,51024.0] || -> equal(cross_product(converse(cross_product(u,v)),w),a) member(first(ordered_pair(second(first(f24(cross_product(converse(cross_product(u,v)),w)))),first(first(f24(cross_product(converse(cross_product(u,v)),w)))))),u)*. % 299.97/300.39 58716[16:Rew:54986.0,51023.0] || -> equal(cross_product(converse(cross_product(u,v)),w),a) member(second(ordered_pair(second(first(f24(cross_product(converse(cross_product(u,v)),w)))),first(first(f24(cross_product(converse(cross_product(u,v)),w)))))),v)*. % 299.97/300.39 58717[16:Rew:54986.0,51026.0] || -> equal(cross_product(u,converse(cross_product(v,w))),a) member(first(ordered_pair(second(second(f24(cross_product(u,converse(cross_product(v,w)))))),first(second(f24(cross_product(u,converse(cross_product(v,w)))))))),v)*. % 299.97/300.39 58718[16:Rew:54986.0,51025.0] || -> equal(cross_product(u,converse(cross_product(v,w))),a) member(second(ordered_pair(second(second(f24(cross_product(u,converse(cross_product(v,w)))))),first(second(f24(cross_product(u,converse(cross_product(v,w)))))))),w)*. % 299.97/300.39 58719[16:Rew:54986.0,51479.1] || member(u,image(v,w)) -> equal(singleton_set(ordered_pair(u,first(f22(u,v,w)))),a) member(f22(u,v,w),converse(singleton_set(ordered_pair(u,first(f22(u,v,w))))))*. % 299.97/300.39 58720[16:Rew:54986.0,51484.1] || member(u,apply(v,w)) -> equal(singleton_set(ordered_pair(second(f28(u,v,w)),w)),a) member(f28(u,v,w),converse(singleton_set(ordered_pair(second(f28(u,v,w)),w))))*. % 299.97/300.39 58721[16:Rew:54986.0,51509.1] || member(u,compose(v,intersection(w,f25))) -> equal(f31(u,v,intersection(w,f25)),a) equal(f26(f31(u,v,intersection(w,f25))),f30(u,v,intersection(w,f25)))**. % 299.97/300.39 58722[16:Rew:54986.0,51510.1] || member(u,compose(v,intersection(f25,w))) -> equal(f31(u,v,intersection(f25,w)),a) equal(f26(f31(u,v,intersection(f25,w))),f30(u,v,intersection(f25,w)))**. % 299.97/300.39 58723[16:Rew:54986.0,51511.1] || member(u,compose(intersection(v,f25),w)) -> equal(f29(u,intersection(v,f25),w),a) equal(f26(f29(u,intersection(v,f25),w)),f31(u,intersection(v,f25),w))**. % 299.97/300.39 58724[16:Rew:54986.0,51512.1] || member(u,compose(intersection(f25,v),w)) -> equal(f29(u,intersection(f25,v),w),a) equal(f26(f29(u,intersection(f25,v),w)),f31(u,intersection(f25,v),w))**. % 299.97/300.39 58725[16:Rew:54986.0,51592.0] || -> member(a,sigma(complement(converse(non_ordered_pair(u,v)))))* equal(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),v)* equal(ordered_pair(second(ordered_pair(universal_set,w)),first(ordered_pair(universal_set,w))),u)*. % 299.97/300.39 58726[16:Rew:54986.0,51625.3] || disjoint(u,universal_set) closed(v,w) closed(x,y) equal(apply_to_two_arguments(w,a,a),a) maps(u,x,v) -> homomorphism(u,x,y,v,w)*. % 299.97/300.39 65364[0:SSi:65344.0,371.0] little_set(u) single_valued_set(complement(v)) || member(w,compose(x,complement(v))) -> member(ordered_pair(f31(w,x,complement(v)),u),v)* equal(u,f30(w,x,complement(v))). % 299.97/300.39 65581[0:SSi:65559.0,371.0] little_set(u) single_valued_set(complement(v)) || member(w,compose(complement(v),x)) -> member(ordered_pair(f29(w,complement(v),x),u),v)* equal(u,f31(w,complement(v),x)). % 299.97/300.39 65879[0:SSi:65854.0,371.0] little_set(u) single_valued_set(singleton_set(v)) || equal(ordered_pair(f4(w,x),u),v)* member(w,first(x)) member(x,singleton_set(v))* -> equal(u,f5(w,x)). % 299.97/300.39 65880[0:SSi:65853.0,371.0] little_set(u) single_valued_set(powerset(v)) || subset(ordered_pair(f4(w,x),u),v)* member(w,first(x)) member(x,powerset(v)) -> equal(u,f5(w,x)). % 299.97/300.39 66000[0:SSi:65975.0,371.0] little_set(u) single_valued_set(singleton_set(v)) || equal(ordered_pair(f6(w,x),u),v)* member(w,second(x)) member(x,singleton_set(v))* -> equal(u,f7(w,x)). % 299.97/300.39 66001[0:SSi:65974.0,371.0] little_set(u) single_valued_set(powerset(v)) || subset(ordered_pair(f6(w,x),u),v)* member(w,second(x)) member(x,powerset(v)) -> equal(u,f7(w,x)). % 299.97/300.39 66372[0:SSi:66277.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),x)* member(ordered_pair(w,u),y)* -> member(ordered_pair(w,v),compose(y,non_ordered_pair(z,x)))*. % 299.97/300.39 66373[0:SSi:66276.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),x)* member(ordered_pair(w,u),y)* -> member(ordered_pair(w,v),compose(y,non_ordered_pair(x,z)))*. % 299.97/300.39 66639[0:SSi:66618.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),x)* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(singleton_set(x)))*. % 299.97/300.39 66640[0:SSi:66617.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || subset(ordered_pair(f2(u),ordered_pair(f3(u),v)),x)* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(powerset(x)))*. % 299.97/300.39 66644[0:SSi:66643.1,66643.0,14.1,15.1] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f2(u),ordered_pair(v,f3(u))),x)* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(flip_range_of(x)))*. % 299.97/300.39 66646[0:SSi:66645.1,66645.0,14.1,15.1] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f3(u),ordered_pair(v,f2(u))),x)* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(rotate_right(x)))*. % 299.97/300.39 66801[0:SSi:66766.1,3910.1,15.1,14.0,371.1,15.1,14.2] ordered_pair_predicate(u) little_set(v) || equal(v,ordered_pair(ordered_pair(f3(u),f2(u)),u))* member(singleton_set(singleton_set(ordered_pair(f3(u),f2(u)))),w)* -> member(v,flip_range_of(w))*. % 299.97/300.39 66803[0:SSi:66778.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),x)* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(singleton_set(x)))*. % 299.97/300.39 66804[0:SSi:66777.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || subset(ordered_pair(v,ordered_pair(f3(u),f2(u))),x)* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(powerset(x)))*. % 299.97/300.39 66811[0:SSi:66810.1,66810.0,15.1,14.1] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f3(u),ordered_pair(f2(u),v)),x)* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(rotate_right(x)))*. % 299.97/300.39 66938[3:SSi:66913.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),x)* equal(v,w)* member(ordered_pair(f2(w),u),y)* -> member(v,compose(y,singleton_set(x)))*. % 299.97/300.39 66939[3:SSi:66912.0,371.0] little_set(u) little_set(v) || subset(ordered_pair(u,f3(w)),x)* equal(v,w)* member(ordered_pair(f2(w),u),y)* -> member(v,compose(y,powerset(x)))*. % 299.97/300.39 67044[0:SoR:5209.0,376.1] little_set(u) little_set(second(v)) single_valued_set(w) ordered_pair_predicate(first(v)) || member(v,converse(w)) member(ordered_pair(second(v),u),w)* -> equal(u,first(v)). % 299.97/300.39 67109[16:Res:55532.1,5162.4] little_set(u) || member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> equal(singleton_set(first(f27(v,w))),a)** member(u,image(universal_set,x))*. % 299.97/300.39 67108[16:Res:56204.1,5162.4] little_set(u) || equal(first(f27(v,w)),a) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(universal_set,x))*. % 299.97/300.39 67218[0:SSi:67192.0,371.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,v)* -> member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x)* member(u,rotate_right(complement(x)))*. % 299.97/300.39 67295[0:SSi:67279.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* -> member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x)* member(u,rotate_right(complement(x)))*. % 299.97/300.39 67360[0:SSi:67344.0,371.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,v)* -> member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x)* member(u,flip_range_of(complement(x)))*. % 299.97/300.39 67430[0:SSi:67404.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* -> member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x)* member(u,flip_range_of(complement(x)))*. % 299.97/300.39 67781[3:Res:62.1,6233.0] little_set(second(f1(u,cross_product(v,universal_set)))) || member(first(f1(u,cross_product(v,universal_set))),v)* member(f1(u,cross_product(v,universal_set)),u)* -> equal(u,cross_product(v,universal_set)). % 299.97/300.39 67780[3:Res:5770.1,6233.0] ordered_pair_predicate(second(f1(u,cross_product(v,universal_set)))) || member(first(f1(u,cross_product(v,universal_set))),v)* member(f1(u,cross_product(v,universal_set)),u)* -> equal(u,cross_product(v,universal_set)). % 299.97/300.39 68139[2:Res:5257.5,17668.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,apply(z,f33(y,w,x,u,v)))* -> homomorphism(y,w,x,u,v). % 299.97/300.39 68137[2:Res:5257.5,17597.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(f33(y,w,x,u,v),z))* -> homomorphism(y,w,x,u,v). % 299.97/300.39 68242[2:Res:5302.5,17668.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,apply(z,f32(y,w,x,u,v)))* -> homomorphism(y,w,x,u,v). % 299.97/300.39 68240[2:Res:5302.5,17597.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(f32(y,w,x,u,v),z))* -> homomorphism(y,w,x,u,v). % 299.97/300.39 70483[0:Obv:70476.1] little_set(u) || member(v,w)* member(x,image(v,y)) member(f22(x,v,y),z)* equal(x,u)* -> member(u,image(sigma(w),z))*. % 299.97/300.39 71802[16:Res:56196.1,6077.3] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),a)** member(ordered_pair(w,u),x)* -> member(ordered_pair(w,v),compose(x,ordered_pair(universal_set,y)))*. % 299.97/300.39 73974[0:SSi:73942.0,371.0] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(v,compose(z,universal_set))*. % 299.97/300.39 73976[0:MRR:73975.0,133.1] little_set(u) || member(v,compose(w,x)) equal(u,v)* member(ordered_pair(f29(v,w,x),f31(v,w,x)),y)* -> member(u,compose(y,x))*. % 299.97/300.39 76457[16:Rew:75898.1,76403.3,75898.1,76403.3] || disjoint(universal_set,u) closed(v,w) closed(x,y) equal(apply_to_two_arguments(w,a,a),a) maps(u,x,v) -> homomorphism(u,x,y,v,w)*. % 299.97/300.39 80031[16:Rew:79454.1,79979.3,79454.1,79979.3] || subset(u,a) closed(v,w) closed(x,y) equal(apply_to_two_arguments(w,a,a),a) maps(u,x,v) -> homomorphism(u,x,y,v,w)*. % 299.97/300.39 82847[16:Res:82637.1,5162.4] little_set(u) || equal(first(f27(v,w)),a) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(set_b,x))*. % 299.97/300.39 82829[16:Res:82637.1,6057.3] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(set_b))*. % 299.97/300.39 82828[16:Res:82637.1,5362.3] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(set_b))*. % 299.97/300.39 82827[16:Res:82637.1,6056.3] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(set_b))*. % 299.97/300.39 82826[16:Res:82637.1,5361.3] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(set_b))*. % 299.97/300.39 83000[3:Res:82638.1,5162.4] little_set(u) || equal(first(f27(v,w)),a) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(set_a,x))*. % 299.97/300.39 82982[3:Res:82638.1,6057.3] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(set_a))*. % 299.97/300.39 82981[3:Res:82638.1,5362.3] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(set_a))*. % 299.97/300.39 82980[3:Res:82638.1,6056.3] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(set_a))*. % 299.97/300.39 82979[3:Res:82638.1,5361.3] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(set_a))*. % 299.97/300.39 83155[16:Res:82641.1,5162.4] little_set(u) || equal(first(f27(v,w)),a) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(infinity,x))*. % 299.97/300.39 83137[16:Res:82641.1,6057.3] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(infinity))*. % 299.97/300.39 83136[16:Res:82641.1,5362.3] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(infinity))*. % 299.97/300.39 83135[16:Res:82641.1,6056.3] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(infinity))*. % 299.97/300.39 83134[16:Res:82641.1,5361.3] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(infinity))*. % 299.97/300.39 83442[2:Res:83265.1,5162.4] little_set(u) || equal(first(f27(v,w)),infinity) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(universal_set,x))*. % 299.97/300.39 84029[16:Res:4286.1,83606.1] || member(u,compose(v,intersection(w,f24(powerset(x))))) subset(ordered_pair(f31(u,v,intersection(w,f24(powerset(x)))),f30(u,v,intersection(w,f24(powerset(x))))),x)* -> . % 299.97/300.39 83994[16:Res:4361.1,83606.1] || member(u,compose(intersection(v,f24(powerset(w))),x)) subset(ordered_pair(f29(u,intersection(v,f24(powerset(w))),x),f31(u,intersection(v,f24(powerset(w))),x)),w)* -> . % 299.97/300.39 83987[16:Res:4285.1,83606.1] || member(u,compose(v,intersection(f24(powerset(w)),x))) subset(ordered_pair(f31(u,v,intersection(f24(powerset(w)),x)),f30(u,v,intersection(f24(powerset(w)),x))),w)* -> . % 299.97/300.39 83977[16:Res:4360.1,83606.1] || member(u,compose(intersection(f24(powerset(v)),w),x)) subset(ordered_pair(f29(u,intersection(f24(powerset(v)),w),x),f31(u,intersection(f24(powerset(v)),w),x)),v)* -> . % 299.97/300.39 84219[2:Res:4286.1,25433.0] || member(u,compose(v,intersection(w,image(x,y)))) subset(x,ordered_pair(f31(u,v,intersection(w,image(x,y))),f30(u,v,intersection(w,image(x,y)))))* -> . % 299.97/300.39 84184[2:Res:4361.1,25433.0] || member(u,compose(intersection(v,image(w,x)),y)) subset(w,ordered_pair(f29(u,intersection(v,image(w,x)),y),f31(u,intersection(v,image(w,x)),y)))* -> . % 299.97/300.39 84177[2:Res:4285.1,25433.0] || member(u,compose(v,intersection(image(w,x),y))) subset(w,ordered_pair(f31(u,v,intersection(image(w,x),y)),f30(u,v,intersection(image(w,x),y))))* -> . % 299.97/300.39 84167[2:Res:4360.1,25433.0] || member(u,compose(intersection(image(v,w),x),y)) subset(v,ordered_pair(f29(u,intersection(image(v,w),x),y),f31(u,intersection(image(v,w),x),y)))* -> . % 299.97/300.39 87701[16:Res:82665.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),a)** equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(sigma(infinity)))*. % 299.97/300.39 87700[16:Res:82665.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),a)** equal(w,ordered_pair(v,u))* -> member(w,rotate_right(sigma(infinity)))*. % 299.97/300.39 87698[16:Res:82665.1,8204.3] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),a) equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(v,compose(x,sigma(infinity)))*. % 299.97/300.39 87667[16:Res:82665.1,5226.4] little_set(u) single_valued_set(sigma(infinity)) || equal(ordered_pair(f6(v,w),u),a)** member(v,second(w)) member(w,sigma(infinity)) -> equal(u,f7(v,w)). % 299.97/300.39 87666[16:Res:82665.1,5225.4] little_set(u) single_valued_set(sigma(infinity)) || equal(ordered_pair(f4(v,w),u),a)** member(v,first(w)) member(w,sigma(infinity)) -> equal(u,f5(v,w)). % 299.97/300.39 87855[16:Res:82681.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),a)** equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(successor(a)))*. % 299.97/300.39 87854[16:Res:82681.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),a)** equal(w,ordered_pair(v,u))* -> member(w,rotate_right(successor(a)))*. % 299.97/300.39 87852[16:Res:82681.1,8204.3] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),a) equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(v,compose(x,successor(a)))*. % 299.97/300.39 87821[16:Res:82681.1,5226.4] little_set(u) single_valued_set(successor(a)) || equal(ordered_pair(f6(v,w),u),a)** member(v,second(w)) member(w,successor(a)) -> equal(u,f7(v,w)). % 299.97/300.39 87820[16:Res:82681.1,5225.4] little_set(u) single_valued_set(successor(a)) || equal(ordered_pair(f4(v,w),u),a)** member(v,first(w)) member(w,successor(a)) -> equal(u,f5(v,w)). % 299.97/300.39 88008[16:Rew:87905.1,67045.6] little_set(u) little_set(second(v)) single_valued_set(w) || member(v,converse(w)) member(ordered_pair(second(v),u),w)* equal(first(v),a) -> equal(u,a). % 299.97/300.39 88156[3:Res:82671.1,4122.1] || equal(ordered_pair(second(f28(u,v,w)),w),infinity) member(u,apply(v,w)) -> member(f28(u,v,w),converse(singleton_set(ordered_pair(second(f28(u,v,w)),w))))*. % 299.97/300.39 88153[3:Res:82671.1,4121.1] || equal(ordered_pair(u,first(f22(u,v,w))),infinity) member(u,image(v,w)) -> member(f22(u,v,w),converse(singleton_set(ordered_pair(u,first(f22(u,v,w))))))*. % 299.97/300.39 88124[3:Res:82671.1,4109.1] ordered_pair_predicate(u) || equal(ordered_pair(second(u),first(u)),infinity) member(ordered_pair(second(u),first(u)),v) -> member(u,converse(intersection(v,singleton_set(ordered_pair(second(u),first(u))))))*. % 299.97/300.39 89522[0:Res:3817.2,43745.1] || member(first(f1(u,cross_product(flip_range_of(complement(flip_range_of(v))),w))),v)* -> equal(u,cross_product(flip_range_of(complement(flip_range_of(v))),w)) member(f1(u,cross_product(flip_range_of(complement(flip_range_of(v))),w)),u)*. % 299.97/300.39 89512[0:Res:3835.2,43745.1] || member(first(f1(cross_product(flip_range_of(complement(flip_range_of(u))),v),w)),u)* -> equal(cross_product(flip_range_of(complement(flip_range_of(u))),v),w) member(f1(cross_product(flip_range_of(complement(flip_range_of(u))),v),w),w)*. % 299.97/300.39 89478[0:Res:3836.1,43745.1] || member(f1(cross_product(u,v),flip_range_of(complement(flip_range_of(w)))),w)* -> equal(cross_product(u,v),flip_range_of(complement(flip_range_of(w)))) member(second(f1(cross_product(u,v),flip_range_of(complement(flip_range_of(w))))),v)*. % 299.97/300.39 89477[0:Res:3835.1,43745.1] || member(f1(cross_product(u,v),flip_range_of(complement(flip_range_of(w)))),w)* -> equal(cross_product(u,v),flip_range_of(complement(flip_range_of(w)))) member(first(f1(cross_product(u,v),flip_range_of(complement(flip_range_of(w))))),u)*. % 299.97/300.39 89459[0:Res:3818.2,43745.1] || member(second(f1(u,cross_product(v,flip_range_of(complement(flip_range_of(w)))))),w)* -> equal(u,cross_product(v,flip_range_of(complement(flip_range_of(w))))) member(f1(u,cross_product(v,flip_range_of(complement(flip_range_of(w))))),u)*. % 299.97/300.39 89445[0:Res:3836.2,43745.1] || member(second(f1(cross_product(u,flip_range_of(complement(flip_range_of(v)))),w)),v)* -> equal(cross_product(u,flip_range_of(complement(flip_range_of(v)))),w) member(f1(cross_product(u,flip_range_of(complement(flip_range_of(v)))),w),w)*. % 299.97/300.39 89397[0:Res:3818.1,43745.1] || member(f1(flip_range_of(complement(flip_range_of(u))),cross_product(v,w)),u)* -> equal(flip_range_of(complement(flip_range_of(u))),cross_product(v,w)) member(second(f1(flip_range_of(complement(flip_range_of(u))),cross_product(v,w))),w)*. % 299.97/300.39 89396[0:Res:3817.1,43745.1] || member(f1(flip_range_of(complement(flip_range_of(u))),cross_product(v,w)),u)* -> equal(flip_range_of(complement(flip_range_of(u))),cross_product(v,w)) member(first(f1(flip_range_of(complement(flip_range_of(u))),cross_product(v,w))),v)*. % 299.97/300.39 92697[0:Res:3817.2,19261.0] || -> equal(u,cross_product(sigma(intersection(v,w)),x)) member(f1(u,cross_product(sigma(intersection(v,w)),x)),u)* member(first(f1(u,cross_product(sigma(intersection(v,w)),x))),sigma(v))*. % 299.97/300.39 92687[0:Res:3835.2,19261.0] || -> equal(cross_product(sigma(intersection(u,v)),w),x) member(f1(cross_product(sigma(intersection(u,v)),w),x),x)* member(first(f1(cross_product(sigma(intersection(u,v)),w),x)),sigma(u))*. % 299.97/300.39 92654[0:Res:3836.1,19261.0] || -> equal(cross_product(u,v),sigma(intersection(w,x))) member(second(f1(cross_product(u,v),sigma(intersection(w,x)))),v)* member(f1(cross_product(u,v),sigma(intersection(w,x))),sigma(w))*. % 299.97/300.39 92653[0:Res:3835.1,19261.0] || -> equal(cross_product(u,v),sigma(intersection(w,x))) member(first(f1(cross_product(u,v),sigma(intersection(w,x)))),u)* member(f1(cross_product(u,v),sigma(intersection(w,x))),sigma(w))*. % 299.97/300.39 92635[0:Res:3818.2,19261.0] || -> equal(u,cross_product(v,sigma(intersection(w,x)))) member(f1(u,cross_product(v,sigma(intersection(w,x)))),u)* member(second(f1(u,cross_product(v,sigma(intersection(w,x))))),sigma(w))*. % 299.97/300.39 92621[0:Res:3836.2,19261.0] || -> equal(cross_product(u,sigma(intersection(v,w))),x) member(f1(cross_product(u,sigma(intersection(v,w))),x),x)* member(second(f1(cross_product(u,sigma(intersection(v,w))),x)),sigma(v))*. % 299.97/300.39 92573[0:Res:3818.1,19261.0] || -> equal(sigma(intersection(u,v)),cross_product(w,x)) member(second(f1(sigma(intersection(u,v)),cross_product(w,x))),x)* member(f1(sigma(intersection(u,v)),cross_product(w,x)),sigma(u))*. % 299.97/300.39 92572[0:Res:3817.1,19261.0] || -> equal(sigma(intersection(u,v)),cross_product(w,x)) member(first(f1(sigma(intersection(u,v)),cross_product(w,x))),w)* member(f1(sigma(intersection(u,v)),cross_product(w,x)),sigma(u))*. % 299.97/300.39 92899[0:Res:3817.2,19263.0] || -> equal(u,cross_product(sigma(intersection(v,w)),x)) member(f1(u,cross_product(sigma(intersection(v,w)),x)),u)* member(first(f1(u,cross_product(sigma(intersection(v,w)),x))),sigma(w))*. % 299.97/300.39 92889[0:Res:3835.2,19263.0] || -> equal(cross_product(sigma(intersection(u,v)),w),x) member(f1(cross_product(sigma(intersection(u,v)),w),x),x)* member(first(f1(cross_product(sigma(intersection(u,v)),w),x)),sigma(v))*. % 299.97/300.39 92856[0:Res:3836.1,19263.0] || -> equal(cross_product(u,v),sigma(intersection(w,x))) member(second(f1(cross_product(u,v),sigma(intersection(w,x)))),v)* member(f1(cross_product(u,v),sigma(intersection(w,x))),sigma(x))*. % 299.97/300.39 92855[0:Res:3835.1,19263.0] || -> equal(cross_product(u,v),sigma(intersection(w,x))) member(first(f1(cross_product(u,v),sigma(intersection(w,x)))),u)* member(f1(cross_product(u,v),sigma(intersection(w,x))),sigma(x))*. % 299.97/300.39 92837[0:Res:3818.2,19263.0] || -> equal(u,cross_product(v,sigma(intersection(w,x)))) member(f1(u,cross_product(v,sigma(intersection(w,x)))),u)* member(second(f1(u,cross_product(v,sigma(intersection(w,x))))),sigma(x))*. % 299.97/300.39 92823[0:Res:3836.2,19263.0] || -> equal(cross_product(u,sigma(intersection(v,w))),x) member(f1(cross_product(u,sigma(intersection(v,w))),x),x)* member(second(f1(cross_product(u,sigma(intersection(v,w))),x)),sigma(w))*. % 299.97/300.39 92775[0:Res:3818.1,19263.0] || -> equal(sigma(intersection(u,v)),cross_product(w,x)) member(second(f1(sigma(intersection(u,v)),cross_product(w,x))),x)* member(f1(sigma(intersection(u,v)),cross_product(w,x)),sigma(v))*. % 299.97/300.39 92774[0:Res:3817.1,19263.0] || -> equal(sigma(intersection(u,v)),cross_product(w,x)) member(first(f1(sigma(intersection(u,v)),cross_product(w,x))),w)* member(f1(sigma(intersection(u,v)),cross_product(w,x)),sigma(v))*. % 299.97/300.39 97530[0:Res:625.1,3812.0] || -> subset(u,complement(powerset(v))) equal(w,f17(u,complement(powerset(v)))) member(f1(w,f17(u,complement(powerset(v)))),w)* member(f1(w,f17(u,complement(powerset(v)))),v)*. % 299.97/300.39 97529[0:Res:625.1,3830.0] || -> subset(u,complement(powerset(v))) equal(f17(u,complement(powerset(v))),w) member(f1(f17(u,complement(powerset(v))),w),w)* member(f1(f17(u,complement(powerset(v))),w),v)*. % 299.97/300.39 98398[0:Res:8090.0,1014.0] || -> subset(complement(complement(converse(cross_product(u,v)))),w) member(first(ordered_pair(second(f17(complement(complement(converse(cross_product(u,v)))),w)),first(f17(complement(complement(converse(cross_product(u,v)))),w)))),u)*. % 299.97/300.39 98397[0:Res:8090.0,1015.0] || -> subset(complement(complement(converse(cross_product(u,v)))),w) member(second(ordered_pair(second(f17(complement(complement(converse(cross_product(u,v)))),w)),first(f17(complement(complement(converse(cross_product(u,v)))),w)))),v)*. % 299.97/300.39 98514[0:Res:9082.0,1014.0] || -> disjoint(u,complement(complement(converse(cross_product(v,w))))) member(first(ordered_pair(second(f23(u,complement(complement(converse(cross_product(v,w)))))),first(f23(u,complement(complement(converse(cross_product(v,w)))))))),v)*. % 299.97/300.39 98513[0:Res:9082.0,1015.0] || -> disjoint(u,complement(complement(converse(cross_product(v,w))))) member(second(ordered_pair(second(f23(u,complement(complement(converse(cross_product(v,w)))))),first(f23(u,complement(complement(converse(cross_product(v,w)))))))),w)*. % 299.97/300.39 98704[0:Res:9151.0,1014.0] || -> disjoint(complement(complement(converse(cross_product(u,v)))),w) member(first(ordered_pair(second(f23(complement(complement(converse(cross_product(u,v)))),w)),first(f23(complement(complement(converse(cross_product(u,v)))),w)))),u)*. % 299.97/300.39 98703[0:Res:9151.0,1015.0] || -> disjoint(complement(complement(converse(cross_product(u,v)))),w) member(second(ordered_pair(second(f23(complement(complement(converse(cross_product(u,v)))),w)),first(f23(complement(complement(converse(cross_product(u,v)))),w)))),v)*. % 299.97/300.39 99404[0:Res:18201.1,4457.3] ordered_pair_predicate(cross_product(u,v)) ordered_pair_predicate(w) || member(second(w),v)* member(first(w),u)* -> member(cross_product(u,v),converse(x))* member(w,sigma(converse(complement(x))))*. % 299.97/300.39 99496[0:SSi:99393.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,u),x)* -> member(ordered_pair(u,v),converse(y))* member(ordered_pair(w,v),compose(x,converse(complement(y))))*. % 299.97/300.39 99661[0:Res:22366.2,4109.1] ordered_pair_predicate(u) ordered_pair_predicate(v) || member(ordered_pair(second(v),first(v)),f2(u))* member(ordered_pair(second(v),first(v)),w)* -> member(v,converse(intersection(w,first(u))))*. % 299.97/300.39 99642[3:Res:22366.2,6235.0] ordered_pair_predicate(u) || member(second(f17(v,cross_product(w,first(u)))),f2(u))* member(first(f17(v,cross_product(w,first(u)))),w)* -> subset(v,cross_product(w,first(u))). % 299.97/300.39 99855[0:Res:22612.2,4109.1] ordered_pair_predicate(u) ordered_pair_predicate(v) || member(ordered_pair(second(v),first(v)),f3(u))* member(ordered_pair(second(v),first(v)),w)* -> member(v,converse(intersection(w,second(u))))*. % 299.97/300.39 99836[3:Res:22612.2,6235.0] ordered_pair_predicate(u) || member(second(f17(v,cross_product(w,second(u)))),f3(u))* member(first(f17(v,cross_product(w,second(u)))),w)* -> subset(v,cross_product(w,second(u))). % 299.97/300.39 100777[16:Res:59048.1,1014.0] || -> equal(intersection(converse(cross_product(u,v)),w),a) member(first(ordered_pair(second(f1(intersection(converse(cross_product(u,v)),w),a)),first(f1(intersection(converse(cross_product(u,v)),w),a)))),u)*. % 299.97/300.39 100776[16:Res:59048.1,1015.0] || -> equal(intersection(converse(cross_product(u,v)),w),a) member(second(ordered_pair(second(f1(intersection(converse(cross_product(u,v)),w),a)),first(f1(intersection(converse(cross_product(u,v)),w),a)))),v)*. % 299.97/300.39 100894[16:Res:59049.1,1014.0] || -> equal(intersection(u,converse(cross_product(v,w))),a) member(first(ordered_pair(second(f1(intersection(u,converse(cross_product(v,w))),a)),first(f1(intersection(u,converse(cross_product(v,w))),a)))),v)*. % 299.97/300.39 100893[16:Res:59049.1,1015.0] || -> equal(intersection(u,converse(cross_product(v,w))),a) member(second(ordered_pair(second(f1(intersection(u,converse(cross_product(v,w))),a)),first(f1(intersection(u,converse(cross_product(v,w))),a)))),w)*. % 299.97/300.39 100995[16:Res:59050.1,1014.0] || -> equal(intersection(converse(cross_product(u,v)),w),a) member(first(ordered_pair(second(f1(a,intersection(converse(cross_product(u,v)),w))),first(f1(a,intersection(converse(cross_product(u,v)),w))))),u)*. % 299.97/300.39 100994[16:Res:59050.1,1015.0] || -> equal(intersection(converse(cross_product(u,v)),w),a) member(second(ordered_pair(second(f1(a,intersection(converse(cross_product(u,v)),w))),first(f1(a,intersection(converse(cross_product(u,v)),w))))),v)*. % 299.97/300.39 101134[16:Res:59051.1,1014.0] || -> equal(intersection(u,converse(cross_product(v,w))),a) member(first(ordered_pair(second(f1(a,intersection(u,converse(cross_product(v,w))))),first(f1(a,intersection(u,converse(cross_product(v,w))))))),v)*. % 299.97/300.39 101133[16:Res:59051.1,1015.0] || -> equal(intersection(u,converse(cross_product(v,w))),a) member(second(ordered_pair(second(f1(a,intersection(u,converse(cross_product(v,w))))),first(f1(a,intersection(u,converse(cross_product(v,w))))))),w)*. % 299.97/300.39 101328[16:Res:59052.1,1014.0] || -> equal(restrict(converse(cross_product(u,v)),w),a) member(first(ordered_pair(second(f1(restrict(converse(cross_product(u,v)),w),a)),first(f1(restrict(converse(cross_product(u,v)),w),a)))),u)*. % 299.97/300.39 101327[16:Res:59052.1,1015.0] || -> equal(restrict(converse(cross_product(u,v)),w),a) member(second(ordered_pair(second(f1(restrict(converse(cross_product(u,v)),w),a)),first(f1(restrict(converse(cross_product(u,v)),w),a)))),v)*. % 299.97/300.39 101588[16:Res:59053.1,1014.0] || -> equal(restrict(converse(cross_product(u,v)),w),a) member(first(ordered_pair(second(f1(a,restrict(converse(cross_product(u,v)),w))),first(f1(a,restrict(converse(cross_product(u,v)),w))))),u)*. % 299.97/300.39 101587[16:Res:59053.1,1015.0] || -> equal(restrict(converse(cross_product(u,v)),w),a) member(second(ordered_pair(second(f1(a,restrict(converse(cross_product(u,v)),w))),first(f1(a,restrict(converse(cross_product(u,v)),w))))),v)*. % 299.97/300.39 101773[16:Res:57867.1,6212.0] || disjoint(complement(converse(second(u))),v)* member(u,w)* equal(first(u),x)* -> equal(v,a) member(ordered_pair(second(f24(v)),first(f24(v))),apply(w,x))*. % 299.97/300.39 101772[16:Res:57867.1,1442.0] || disjoint(complement(apply(non_ordered_pair(u,v),w)),x)* -> equal(x,a) equal(f28(f24(x),non_ordered_pair(u,v),w),v) equal(f28(f24(x),non_ordered_pair(u,v),w),u). % 299.97/300.39 101746[16:Res:57867.1,1443.0] || disjoint(complement(image(u,non_ordered_pair(v,w))),x)* -> equal(x,a) equal(f22(f24(x),u,non_ordered_pair(v,w)),w) equal(f22(f24(x),u,non_ordered_pair(v,w)),v). % 299.97/300.39 103655[0:Res:288.1,16184.0] || -> single_valued_set(intersection(domain_of(intersection(cross_product(u,v),w)),x)) member(ordered_pair(f19(intersection(domain_of(intersection(cross_product(u,v),w)),x)),f20(intersection(domain_of(intersection(cross_product(u,v),w)),x))),u)*. % 299.97/300.39 103654[0:Res:287.1,16184.0] || -> single_valued_set(intersection(domain_of(intersection(cross_product(u,v),w)),x)) member(ordered_pair(f19(intersection(domain_of(intersection(cross_product(u,v),w)),x)),f21(intersection(domain_of(intersection(cross_product(u,v),w)),x))),u)*. % 299.97/300.39 103644[0:Res:280.1,16184.0] || -> single_valued_set(intersection(u,domain_of(intersection(cross_product(v,w),x)))) member(ordered_pair(f19(intersection(u,domain_of(intersection(cross_product(v,w),x)))),f20(intersection(u,domain_of(intersection(cross_product(v,w),x))))),v)*. % 299.97/300.39 103643[0:Res:279.1,16184.0] || -> single_valued_set(intersection(u,domain_of(intersection(cross_product(v,w),x)))) member(ordered_pair(f19(intersection(u,domain_of(intersection(cross_product(v,w),x)))),f21(intersection(u,domain_of(intersection(cross_product(v,w),x))))),v)*. % 299.97/300.39 103897[0:Res:288.1,16416.0] || -> single_valued_set(intersection(domain_of(intersection(u,cross_product(v,w))),x)) member(ordered_pair(f19(intersection(domain_of(intersection(u,cross_product(v,w))),x)),f20(intersection(domain_of(intersection(u,cross_product(v,w))),x))),v)*. % 299.97/300.39 103896[0:Res:287.1,16416.0] || -> single_valued_set(intersection(domain_of(intersection(u,cross_product(v,w))),x)) member(ordered_pair(f19(intersection(domain_of(intersection(u,cross_product(v,w))),x)),f21(intersection(domain_of(intersection(u,cross_product(v,w))),x))),v)*. % 299.97/300.39 103886[0:Res:280.1,16416.0] || -> single_valued_set(intersection(u,domain_of(intersection(v,cross_product(w,x))))) member(ordered_pair(f19(intersection(u,domain_of(intersection(v,cross_product(w,x))))),f20(intersection(u,domain_of(intersection(v,cross_product(w,x)))))),w)*. % 299.97/300.39 103885[0:Res:279.1,16416.0] || -> single_valued_set(intersection(u,domain_of(intersection(v,cross_product(w,x))))) member(ordered_pair(f19(intersection(u,domain_of(intersection(v,cross_product(w,x))))),f21(intersection(u,domain_of(intersection(v,cross_product(w,x)))))),w)*. % 299.97/300.39 104142[0:Res:288.1,17439.0] || -> single_valued_set(intersection(range_of(intersection(cross_product(u,v),w)),x)) member(ordered_pair(f19(intersection(range_of(intersection(cross_product(u,v),w)),x)),f20(intersection(range_of(intersection(cross_product(u,v),w)),x))),v)*. % 299.97/300.39 104141[0:Res:287.1,17439.0] || -> single_valued_set(intersection(range_of(intersection(cross_product(u,v),w)),x)) member(ordered_pair(f19(intersection(range_of(intersection(cross_product(u,v),w)),x)),f21(intersection(range_of(intersection(cross_product(u,v),w)),x))),v)*. % 299.97/300.39 104131[0:Res:280.1,17439.0] || -> single_valued_set(intersection(u,range_of(intersection(cross_product(v,w),x)))) member(ordered_pair(f19(intersection(u,range_of(intersection(cross_product(v,w),x)))),f20(intersection(u,range_of(intersection(cross_product(v,w),x))))),w)*. % 299.97/300.39 104130[0:Res:279.1,17439.0] || -> single_valued_set(intersection(u,range_of(intersection(cross_product(v,w),x)))) member(ordered_pair(f19(intersection(u,range_of(intersection(cross_product(v,w),x)))),f21(intersection(u,range_of(intersection(cross_product(v,w),x))))),w)*. % 299.97/300.39 104419[0:Res:288.1,17546.0] || -> single_valued_set(intersection(range_of(intersection(u,cross_product(v,w))),x)) member(ordered_pair(f19(intersection(range_of(intersection(u,cross_product(v,w))),x)),f20(intersection(range_of(intersection(u,cross_product(v,w))),x))),w)*. % 299.97/300.39 104418[0:Res:287.1,17546.0] || -> single_valued_set(intersection(range_of(intersection(u,cross_product(v,w))),x)) member(ordered_pair(f19(intersection(range_of(intersection(u,cross_product(v,w))),x)),f21(intersection(range_of(intersection(u,cross_product(v,w))),x))),w)*. % 299.97/300.39 104408[0:Res:280.1,17546.0] || -> single_valued_set(intersection(u,range_of(intersection(v,cross_product(w,x))))) member(ordered_pair(f19(intersection(u,range_of(intersection(v,cross_product(w,x))))),f20(intersection(u,range_of(intersection(v,cross_product(w,x)))))),x)*. % 299.97/300.39 104407[0:Res:279.1,17546.0] || -> single_valued_set(intersection(u,range_of(intersection(v,cross_product(w,x))))) member(ordered_pair(f19(intersection(u,range_of(intersection(v,cross_product(w,x))))),f21(intersection(u,range_of(intersection(v,cross_product(w,x)))))),x)*. % 299.97/300.39 104677[0:Res:18826.1,4457.3] little_set(cross_product(u,v)) ordered_pair_predicate(w) || member(second(w),v)* member(first(w),u)* -> member(cross_product(u,v),complement(x))* member(w,sigma(union(x,y)))*. % 299.97/300.39 104764[0:SSi:104666.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,u),x)* -> member(ordered_pair(u,v),complement(y))* member(ordered_pair(w,v),compose(x,union(y,z)))*. % 299.97/300.39 105021[0:Res:18827.1,4457.3] little_set(cross_product(u,v)) ordered_pair_predicate(w) || member(second(w),v)* member(first(w),u)* -> member(cross_product(u,v),complement(x))* member(w,sigma(union(y,x)))*. % 299.97/300.39 105110[0:SSi:105010.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,u),x)* -> member(ordered_pair(u,v),complement(y))* member(ordered_pair(w,v),compose(x,union(z,y)))*. % 299.97/300.39 105362[0:Res:136.1,26698.0] || member(u,compose(v,apply(cross_product(w,x),y))) -> member(ordered_pair(f31(u,v,apply(cross_product(w,x),y)),f30(u,v,apply(cross_product(w,x),y))),sigma(x))*. % 299.97/300.39 105352[0:Res:135.1,26698.0] || member(u,compose(apply(cross_product(v,w),x),y)) -> member(ordered_pair(f29(u,apply(cross_product(v,w),x),y),f31(u,apply(cross_product(v,w),x),y)),sigma(w))*. % 299.97/300.39 5267[0:Res:143.3,1444.0] || closed(u,v) closed(singleton_set(w),x) maps(y,singleton_set(w),u) -> homomorphism(y,singleton_set(w),x,u,v) equal(f33(y,singleton_set(w),x,u,v),w)**. % 299.97/300.39 5312[0:Res:142.3,1444.0] || closed(u,v) closed(singleton_set(w),x) maps(y,singleton_set(w),u) -> homomorphism(y,singleton_set(w),x,u,v) equal(f32(y,singleton_set(w),x,u,v),w)**. % 299.97/300.39 5357[0:SSi:5352.2,371.0] little_set(u) little_set(v) little_set(w) || equal(w,singleton_set(singleton_set(ordered_pair(v,u))))* member(ordered_pair(v,ordered_pair(u,ordered_pair(v,u))),x)* -> member(w,rotate_right(x))*. % 299.97/300.39 6052[0:SSi:6046.2,371.0] little_set(u) little_set(v) little_set(w) || equal(w,singleton_set(singleton_set(ordered_pair(v,u))))* member(ordered_pair(ordered_pair(v,u),ordered_pair(u,v)),x)* -> member(w,flip_range_of(x))*. % 299.97/300.39 14890[0:Res:556.1,1020.0] || -> disjoint(u,cross_product(converse(intersection(v,w)),x)) member(ordered_pair(second(first(f23(u,cross_product(converse(intersection(v,w)),x)))),first(first(f23(u,cross_product(converse(intersection(v,w)),x))))),v)*. % 299.97/300.39 14889[0:Res:552.1,1020.0] || -> subset(cross_product(converse(intersection(u,v)),w),x) member(ordered_pair(second(first(f17(cross_product(converse(intersection(u,v)),w),x))),first(first(f17(cross_product(converse(intersection(u,v)),w),x)))),u)*. % 299.97/300.39 14888[0:Res:551.1,1020.0] || -> disjoint(cross_product(converse(intersection(u,v)),w),x) member(ordered_pair(second(first(f23(cross_product(converse(intersection(u,v)),w),x))),first(first(f23(cross_product(converse(intersection(u,v)),w),x)))),u)*. % 299.97/300.39 14875[0:Res:543.1,1020.0] || -> disjoint(u,cross_product(v,converse(intersection(w,x)))) member(ordered_pair(second(second(f23(u,cross_product(v,converse(intersection(w,x)))))),first(second(f23(u,cross_product(v,converse(intersection(w,x))))))),w)*. % 299.97/300.39 14870[0:Res:539.1,1020.0] || -> subset(cross_product(u,converse(intersection(v,w))),x) member(ordered_pair(second(second(f17(cross_product(u,converse(intersection(v,w))),x))),first(second(f17(cross_product(u,converse(intersection(v,w))),x)))),v)*. % 299.97/300.39 14869[0:Res:538.1,1020.0] || -> disjoint(cross_product(u,converse(intersection(v,w))),x) member(ordered_pair(second(second(f23(cross_product(u,converse(intersection(v,w))),x))),first(second(f23(cross_product(u,converse(intersection(v,w))),x)))),v)*. % 299.97/300.39 14867[0:Res:6.1,1020.0] || -> equal(u,converse(intersection(v,w))) member(f1(u,converse(intersection(v,w))),u) member(ordered_pair(second(f1(u,converse(intersection(v,w)))),first(f1(u,converse(intersection(v,w))))),v)*. % 299.97/300.39 14849[0:Res:6.2,1020.0] || -> equal(converse(intersection(u,v)),w) member(f1(converse(intersection(u,v)),w),w) member(ordered_pair(second(f1(converse(intersection(u,v)),w)),first(f1(converse(intersection(u,v)),w))),u)*. % 299.97/300.39 14996[0:Res:556.1,1021.0] || -> disjoint(u,cross_product(converse(intersection(v,w)),x)) member(ordered_pair(second(first(f23(u,cross_product(converse(intersection(v,w)),x)))),first(first(f23(u,cross_product(converse(intersection(v,w)),x))))),w)*. % 299.97/300.39 14995[0:Res:552.1,1021.0] || -> subset(cross_product(converse(intersection(u,v)),w),x) member(ordered_pair(second(first(f17(cross_product(converse(intersection(u,v)),w),x))),first(first(f17(cross_product(converse(intersection(u,v)),w),x)))),v)*. % 299.97/300.39 14994[0:Res:551.1,1021.0] || -> disjoint(cross_product(converse(intersection(u,v)),w),x) member(ordered_pair(second(first(f23(cross_product(converse(intersection(u,v)),w),x))),first(first(f23(cross_product(converse(intersection(u,v)),w),x)))),v)*. % 299.97/300.39 14981[0:Res:543.1,1021.0] || -> disjoint(u,cross_product(v,converse(intersection(w,x)))) member(ordered_pair(second(second(f23(u,cross_product(v,converse(intersection(w,x)))))),first(second(f23(u,cross_product(v,converse(intersection(w,x))))))),x)*. % 299.97/300.39 14976[0:Res:539.1,1021.0] || -> subset(cross_product(u,converse(intersection(v,w))),x) member(ordered_pair(second(second(f17(cross_product(u,converse(intersection(v,w))),x))),first(second(f17(cross_product(u,converse(intersection(v,w))),x)))),w)*. % 299.97/300.39 14975[0:Res:538.1,1021.0] || -> disjoint(cross_product(u,converse(intersection(v,w))),x) member(ordered_pair(second(second(f23(cross_product(u,converse(intersection(v,w))),x))),first(second(f23(cross_product(u,converse(intersection(v,w))),x)))),w)*. % 299.97/300.39 14973[0:Res:6.1,1021.0] || -> equal(u,converse(intersection(v,w))) member(f1(u,converse(intersection(v,w))),u) member(ordered_pair(second(f1(u,converse(intersection(v,w)))),first(f1(u,converse(intersection(v,w))))),w)*. % 299.97/300.39 14955[0:Res:6.2,1021.0] || -> equal(converse(intersection(u,v)),w) member(f1(converse(intersection(u,v)),w),w) member(ordered_pair(second(f1(converse(intersection(u,v)),w)),first(f1(converse(intersection(u,v)),w))),v)*. % 299.97/300.39 17116[0:Res:455.1,1020.0] || member(u,sigma(intersection(converse(intersection(v,w)),x))) -> member(ordered_pair(second(f16(u,intersection(converse(intersection(v,w)),x))),first(f16(u,intersection(converse(intersection(v,w)),x)))),v)*. % 299.97/300.39 17115[0:Res:455.1,1021.0] || member(u,sigma(intersection(converse(intersection(v,w)),x))) -> member(ordered_pair(second(f16(u,intersection(converse(intersection(v,w)),x))),first(f16(u,intersection(converse(intersection(v,w)),x)))),w)*. % 299.97/300.39 17217[0:Res:456.1,1020.0] || member(u,sigma(intersection(v,converse(intersection(w,x))))) -> member(ordered_pair(second(f16(u,intersection(v,converse(intersection(w,x))))),first(f16(u,intersection(v,converse(intersection(w,x)))))),w)*. % 299.97/300.39 17216[0:Res:456.1,1021.0] || member(u,sigma(intersection(v,converse(intersection(w,x))))) -> member(ordered_pair(second(f16(u,intersection(v,converse(intersection(w,x))))),first(f16(u,intersection(v,converse(intersection(w,x)))))),x)*. % 299.97/300.39 17915[0:Res:94.1,1014.0] || member(u,image(converse(cross_product(v,w)),x)) -> member(first(ordered_pair(second(first(f22(u,converse(cross_product(v,w)),x))),first(first(f22(u,converse(cross_product(v,w)),x))))),v)*. % 299.97/300.39 18039[0:Res:94.1,1015.0] || member(u,image(converse(cross_product(v,w)),x)) -> member(second(ordered_pair(second(first(f22(u,converse(cross_product(v,w)),x))),first(first(f22(u,converse(cross_product(v,w)),x))))),w)*. % 299.97/300.39 18268[3:Res:279.1,6176.0] || -> single_valued_set(intersection(u,converse(v))) ordered_pair_predicate(ordered_pair(second(ordered_pair(f19(intersection(u,converse(v))),f21(intersection(u,converse(v))))),first(ordered_pair(f19(intersection(u,converse(v))),f21(intersection(u,converse(v)))))))*. % 299.97/300.39 18405[3:Res:280.1,6176.0] || -> single_valued_set(intersection(u,converse(v))) ordered_pair_predicate(ordered_pair(second(ordered_pair(f19(intersection(u,converse(v))),f20(intersection(u,converse(v))))),first(ordered_pair(f19(intersection(u,converse(v))),f20(intersection(u,converse(v)))))))*. % 299.97/300.39 18487[3:Res:287.1,6176.0] || -> single_valued_set(intersection(converse(u),v)) ordered_pair_predicate(ordered_pair(second(ordered_pair(f19(intersection(converse(u),v)),f21(intersection(converse(u),v)))),first(ordered_pair(f19(intersection(converse(u),v)),f21(intersection(converse(u),v))))))*. % 299.97/300.39 18629[3:Res:288.1,6176.0] || -> single_valued_set(intersection(converse(u),v)) ordered_pair_predicate(ordered_pair(second(ordered_pair(f19(intersection(converse(u),v)),f20(intersection(converse(u),v)))),first(ordered_pair(f19(intersection(converse(u),v)),f20(intersection(converse(u),v))))))*. % 299.97/300.39 18862[2:Res:384.1,616.1] little_set(first(f27(intersection(complement(u),complement(v)),w))) || member(intersection(complement(u),complement(v)),range_of(w)) -> member(first(f27(intersection(complement(u),complement(v)),w)),union(u,v))*. % 299.97/300.39 21127[0:Res:3651.2,1349.1] || member(f22(u,v,complement(restrict(w,x))),cross_product(x,universal_set))* member(f22(u,v,complement(restrict(w,x))),w)* member(u,image(v,complement(restrict(w,x)))) -> . % 299.97/300.39 21122[0:Res:3651.2,7.0] || member(f1(u,restrict(v,w)),cross_product(w,universal_set))* member(f1(u,restrict(v,w)),v)* member(f1(u,restrict(v,w)),u)* -> equal(u,restrict(v,w)). % 299.97/300.39 21121[0:Res:3651.2,1284.1] || member(f28(u,complement(restrict(v,w)),x),cross_product(w,universal_set))* member(f28(u,complement(restrict(v,w)),x),v)* member(u,apply(complement(restrict(v,w)),x)) -> . % 299.97/300.39 21472[0:Res:540.1,314.0] || member(second(ordered_pair(f19(cross_product(u,intersection(complement(v),complement(w)))),f21(cross_product(u,intersection(complement(v),complement(w)))))),union(v,w))* -> single_valued_set(cross_product(u,intersection(complement(v),complement(w)))). % 299.97/300.39 21632[0:Res:541.1,314.0] || member(second(ordered_pair(f19(cross_product(u,intersection(complement(v),complement(w)))),f20(cross_product(u,intersection(complement(v),complement(w)))))),union(v,w))* -> single_valued_set(cross_product(u,intersection(complement(v),complement(w)))). % 299.97/300.39 21711[0:Res:553.1,314.0] || member(first(ordered_pair(f19(cross_product(intersection(complement(u),complement(v)),w)),f21(cross_product(intersection(complement(u),complement(v)),w)))),union(u,v))* -> single_valued_set(cross_product(intersection(complement(u),complement(v)),w)). % 299.97/300.39 21800[0:Res:554.1,314.0] || member(first(ordered_pair(f19(cross_product(intersection(complement(u),complement(v)),w)),f20(cross_product(intersection(complement(u),complement(v)),w)))),union(u,v))* -> single_valued_set(cross_product(intersection(complement(u),complement(v)),w)). % 299.97/300.39 21927[0:Res:557.1,1009.0] || member(u,range_of(cross_product(converse(v),w))) subset(v,x) -> member(ordered_pair(second(first(f27(u,cross_product(converse(v),w)))),first(first(f27(u,cross_product(converse(v),w))))),x)*. % 299.97/300.39 21926[0:Res:558.1,1009.0] || member(u,sigma(cross_product(converse(v),w))) subset(v,x) -> member(ordered_pair(second(first(f16(u,cross_product(converse(v),w)))),first(first(f16(u,cross_product(converse(v),w))))),x)*. % 299.97/300.39 21894[0:Res:545.1,1009.0] || member(u,sigma(cross_product(v,converse(w)))) subset(w,x) -> member(ordered_pair(second(second(f16(u,cross_product(v,converse(w))))),first(second(f16(u,cross_product(v,converse(w)))))),x)*. % 299.97/300.39 21893[0:Res:546.1,1009.0] || member(u,domain_of(cross_product(v,converse(w)))) subset(w,x) -> member(ordered_pair(second(second(f8(u,cross_product(v,converse(w))))),first(second(f8(u,cross_product(v,converse(w)))))),x)*. % 299.97/300.39 22159[0:Res:33.2,1554.1] || member(first(f22(u,complement(intersection(v,w)),x)),w)* member(first(f22(u,complement(intersection(v,w)),x)),v)* member(u,image(complement(intersection(v,w)),x)) -> . % 299.97/300.39 22826[0:Res:3821.1,314.0] || member(f1(intersection(complement(u),complement(v)),powerset(w)),union(u,v))* -> equal(intersection(complement(u),complement(v)),powerset(w)) subset(f1(intersection(complement(u),complement(v)),powerset(w)),w)*. % 299.97/300.39 22808[0:Res:3821.1,1009.0] || subset(u,v) -> equal(converse(u),powerset(w)) subset(f1(converse(u),powerset(w)),w) member(ordered_pair(second(f1(converse(u),powerset(w))),first(f1(converse(u),powerset(w)))),v)*. % 299.97/300.39 22921[0:Res:3839.1,314.0] || member(f1(powerset(u),intersection(complement(v),complement(w))),union(v,w))* -> equal(powerset(u),intersection(complement(v),complement(w))) subset(f1(powerset(u),intersection(complement(v),complement(w))),u)*. % 299.97/300.39 22903[0:Res:3839.1,1009.0] || subset(u,v) -> equal(powerset(w),converse(u)) subset(f1(powerset(w),converse(u)),w) member(ordered_pair(second(f1(powerset(w),converse(u))),first(f1(powerset(w),converse(u)))),v)*. % 299.97/300.39 25393[0:Res:1544.2,1163.0] || member(u,image(v,w)) subset(v,converse(x))* member(x,y)* -> member(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),sigma(y))*. % 299.97/300.39 26366[0:Res:1013.1,3812.0] || member(u,converse(powerset(v))) -> equal(w,ordered_pair(second(u),first(u))) member(f1(w,ordered_pair(second(u),first(u))),w)* member(f1(w,ordered_pair(second(u),first(u))),v)*. % 299.97/300.39 26495[0:Res:1013.1,3830.0] || member(u,converse(powerset(v))) -> equal(ordered_pair(second(u),first(u)),w) member(f1(ordered_pair(second(u),first(u)),w),w)* member(f1(ordered_pair(second(u),first(u)),w),v)*. % 299.97/300.39 27083[3:Res:1549.1,6192.1] || member(u,image(cross_product(second(v),w),x)) member(v,y) equal(first(v),z) -> member(first(first(f22(u,cross_product(second(v),w),x))),apply(y,z))*. % 299.97/300.39 27056[3:Res:1549.1,6176.0] || member(u,image(cross_product(converse(v),w),x)) -> ordered_pair_predicate(ordered_pair(second(first(first(f22(u,cross_product(converse(v),w),x)))),first(first(first(f22(u,cross_product(converse(v),w),x))))))*. % 299.97/300.39 27228[3:Res:1550.1,6192.1] || member(u,image(cross_product(v,second(w)),x)) member(w,y) equal(first(w),z) -> member(second(first(f22(u,cross_product(v,second(w)),x))),apply(y,z))*. % 299.97/300.39 27201[3:Res:1550.1,6176.0] || member(u,image(cross_product(v,converse(w)),x)) -> ordered_pair_predicate(ordered_pair(second(second(first(f22(u,cross_product(v,converse(w)),x)))),first(second(first(f22(u,cross_product(v,converse(w)),x))))))*. % 299.97/300.39 28551[0:Res:46.1,3811.0] || member(u,converse(v)) -> equal(w,ordered_pair(second(u),first(u))) member(f1(w,ordered_pair(second(u),first(u))),w)* member(f1(w,ordered_pair(second(u),first(u))),sigma(v))*. % 299.97/300.39 28539[0:Res:281.1,3811.0] || -> disjoint(u,intersection(v,w)) equal(x,f23(u,intersection(v,w))) member(f1(x,f23(u,intersection(v,w))),x)* member(f1(x,f23(u,intersection(v,w))),sigma(w))*. % 299.97/300.39 28510[0:Res:278.1,3811.0] || -> subset(intersection(u,v),w) equal(x,f17(intersection(u,v),w)) member(f1(x,f17(intersection(u,v),w)),x)* member(f1(x,f17(intersection(u,v),w)),sigma(v))*. % 299.97/300.39 28507[0:Res:277.1,3811.0] || -> disjoint(intersection(u,v),w) equal(x,f23(intersection(u,v),w)) member(f1(x,f23(intersection(u,v),w)),x)* member(f1(x,f23(intersection(u,v),w)),sigma(v))*. % 299.97/300.39 28505[0:Res:289.1,3811.0] || -> disjoint(u,intersection(v,w)) equal(x,f23(u,intersection(v,w))) member(f1(x,f23(u,intersection(v,w))),x)* member(f1(x,f23(u,intersection(v,w))),sigma(v))*. % 299.97/300.39 28436[0:Res:285.1,3811.0] || -> disjoint(intersection(u,v),w) equal(x,f23(intersection(u,v),w)) member(f1(x,f23(intersection(u,v),w)),x)* member(f1(x,f23(intersection(u,v),w)),sigma(u))*. % 299.97/300.39 28434[0:Res:286.1,3811.0] || -> subset(intersection(u,v),w) equal(x,f17(intersection(u,v),w)) member(f1(x,f17(intersection(u,v),w)),x)* member(f1(x,f17(intersection(u,v),w)),sigma(u))*. % 299.97/300.39 28928[0:Res:46.1,3829.0] || member(u,converse(v)) -> equal(ordered_pair(second(u),first(u)),w) member(f1(ordered_pair(second(u),first(u)),w),w)* member(f1(ordered_pair(second(u),first(u)),w),sigma(v))*. % 299.97/300.39 28916[0:Res:281.1,3829.0] || -> disjoint(u,intersection(v,w)) equal(f23(u,intersection(v,w)),x) member(f1(f23(u,intersection(v,w)),x),x)* member(f1(f23(u,intersection(v,w)),x),sigma(w))*. % 299.97/300.39 28887[0:Res:278.1,3829.0] || -> subset(intersection(u,v),w) equal(f17(intersection(u,v),w),x) member(f1(f17(intersection(u,v),w),x),x)* member(f1(f17(intersection(u,v),w),x),sigma(v))*. % 299.97/300.39 28884[0:Res:277.1,3829.0] || -> disjoint(intersection(u,v),w) equal(f23(intersection(u,v),w),x) member(f1(f23(intersection(u,v),w),x),x)* member(f1(f23(intersection(u,v),w),x),sigma(v))*. % 299.97/300.39 28882[0:Res:289.1,3829.0] || -> disjoint(u,intersection(v,w)) equal(f23(u,intersection(v,w)),x) member(f1(f23(u,intersection(v,w)),x),x)* member(f1(f23(u,intersection(v,w)),x),sigma(v))*. % 299.97/300.39 28813[0:Res:285.1,3829.0] || -> disjoint(intersection(u,v),w) equal(f23(intersection(u,v),w),x) member(f1(f23(intersection(u,v),w),x),x)* member(f1(f23(intersection(u,v),w),x),sigma(u))*. % 299.97/300.39 28811[0:Res:286.1,3829.0] || -> subset(intersection(u,v),w) equal(f17(intersection(u,v),w),x) member(f1(f17(intersection(u,v),w),x),x)* member(f1(f17(intersection(u,v),w),x),sigma(u))*. % 299.97/300.39 29847[0:Res:1556.1,5019.1] || member(u,image(intersection(v,f4(w,x)),y)) member(w,first(x)) equal(z,x) -> member(first(f22(u,intersection(v,f4(w,x)),y)),first(z))*. % 299.97/300.39 29846[0:Res:1344.1,5019.1] || member(u,image(v,cross_product(f4(w,x),y))) member(w,first(x)) equal(z,x) -> member(first(f22(u,v,cross_product(f4(w,x),y))),first(z))*. % 299.97/300.39 29844[0:Res:1555.1,5019.1] || member(u,image(intersection(f4(v,w),x),y)) member(v,first(w)) equal(z,w) -> member(first(f22(u,intersection(f4(v,w),x),y)),first(z))*. % 299.97/300.39 29833[0:Res:288.1,5019.1] || member(u,first(v)) equal(w,v) -> single_valued_set(intersection(f4(u,v),x)) member(ordered_pair(f19(intersection(f4(u,v),x)),f20(intersection(f4(u,v),x))),first(w))*. % 299.97/300.39 29832[0:Res:287.1,5019.1] || member(u,first(v)) equal(w,v) -> single_valued_set(intersection(f4(u,v),x)) member(ordered_pair(f19(intersection(f4(u,v),x)),f21(intersection(f4(u,v),x))),first(w))*. % 299.97/300.39 29829[0:Res:280.1,5019.1] || member(u,first(v)) equal(w,v) -> single_valued_set(intersection(x,f4(u,v))) member(ordered_pair(f19(intersection(x,f4(u,v))),f20(intersection(x,f4(u,v)))),first(w))*. % 299.97/300.39 29828[0:Res:279.1,5019.1] || member(u,first(v)) equal(w,v) -> single_valued_set(intersection(x,f4(u,v))) member(ordered_pair(f19(intersection(x,f4(u,v))),f21(intersection(x,f4(u,v)))),first(w))*. % 299.97/300.39 29807[0:Res:1280.1,5019.1] || member(u,apply(cross_product(v,f4(w,x)),y)) member(w,first(x)) equal(z,x) -> member(second(f28(u,cross_product(v,f4(w,x)),y)),first(z))*. % 299.97/300.39 30260[0:Res:1556.1,5020.1] || member(u,image(intersection(v,f6(w,x)),y)) member(w,second(x)) equal(z,x) -> member(first(f22(u,intersection(v,f6(w,x)),y)),first(z))*. % 299.97/300.39 30259[0:Res:1344.1,5020.1] || member(u,image(v,cross_product(f6(w,x),y))) member(w,second(x)) equal(z,x) -> member(first(f22(u,v,cross_product(f6(w,x),y))),first(z))*. % 299.97/300.39 30257[0:Res:1555.1,5020.1] || member(u,image(intersection(f6(v,w),x),y)) member(v,second(w)) equal(z,w) -> member(first(f22(u,intersection(f6(v,w),x),y)),first(z))*. % 299.97/300.39 30246[0:Res:288.1,5020.1] || member(u,second(v)) equal(w,v) -> single_valued_set(intersection(f6(u,v),x)) member(ordered_pair(f19(intersection(f6(u,v),x)),f20(intersection(f6(u,v),x))),first(w))*. % 299.97/300.39 30245[0:Res:287.1,5020.1] || member(u,second(v)) equal(w,v) -> single_valued_set(intersection(f6(u,v),x)) member(ordered_pair(f19(intersection(f6(u,v),x)),f21(intersection(f6(u,v),x))),first(w))*. % 299.97/300.39 30242[0:Res:280.1,5020.1] || member(u,second(v)) equal(w,v) -> single_valued_set(intersection(x,f6(u,v))) member(ordered_pair(f19(intersection(x,f6(u,v))),f20(intersection(x,f6(u,v)))),first(w))*. % 299.97/300.39 30241[0:Res:279.1,5020.1] || member(u,second(v)) equal(w,v) -> single_valued_set(intersection(x,f6(u,v))) member(ordered_pair(f19(intersection(x,f6(u,v))),f21(intersection(x,f6(u,v)))),first(w))*. % 299.97/300.39 30220[0:Res:1280.1,5020.1] || member(u,apply(cross_product(v,f6(w,x)),y)) member(w,second(x)) equal(z,x) -> member(second(f28(u,cross_product(v,f6(w,x)),y)),first(z))*. % 299.97/300.39 30371[0:Res:1556.1,5022.1] || member(u,image(intersection(v,f9(w,x)),y)) member(w,rotate_right(x)) equal(z,w) -> member(first(f22(u,intersection(v,f9(w,x)),y)),first(z))*. % 299.97/300.39 30370[0:Res:1344.1,5022.1] || member(u,image(v,cross_product(f9(w,x),y))) member(w,rotate_right(x)) equal(z,w) -> member(first(f22(u,v,cross_product(f9(w,x),y))),first(z))*. % 299.97/300.39 30368[0:Res:1555.1,5022.1] || member(u,image(intersection(f9(v,w),x),y)) member(v,rotate_right(w)) equal(z,v) -> member(first(f22(u,intersection(f9(v,w),x),y)),first(z))*. % 299.97/300.39 30357[0:Res:288.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(intersection(f9(u,v),x)) member(ordered_pair(f19(intersection(f9(u,v),x)),f20(intersection(f9(u,v),x))),first(w))*. % 299.97/300.39 30356[0:Res:287.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(intersection(f9(u,v),x)) member(ordered_pair(f19(intersection(f9(u,v),x)),f21(intersection(f9(u,v),x))),first(w))*. % 299.97/300.39 30353[0:Res:280.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(intersection(x,f9(u,v))) member(ordered_pair(f19(intersection(x,f9(u,v))),f20(intersection(x,f9(u,v)))),first(w))*. % 299.97/300.39 30352[0:Res:279.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(intersection(x,f9(u,v))) member(ordered_pair(f19(intersection(x,f9(u,v))),f21(intersection(x,f9(u,v)))),first(w))*. % 299.97/300.39 30331[0:Res:1280.1,5022.1] || member(u,apply(cross_product(v,f9(w,x)),y)) member(w,rotate_right(x)) equal(z,w) -> member(second(f28(u,cross_product(v,f9(w,x)),y)),first(z))*. % 299.97/300.39 30514[0:Res:1556.1,5024.1] || member(u,image(intersection(v,f12(w,x)),y)) member(w,flip_range_of(x)) equal(z,w) -> member(first(f22(u,intersection(v,f12(w,x)),y)),first(z))*. % 299.97/300.39 30513[0:Res:1344.1,5024.1] || member(u,image(v,cross_product(f12(w,x),y))) member(w,flip_range_of(x)) equal(z,w) -> member(first(f22(u,v,cross_product(f12(w,x),y))),first(z))*. % 299.97/300.39 30511[0:Res:1555.1,5024.1] || member(u,image(intersection(f12(v,w),x),y)) member(v,flip_range_of(w)) equal(z,v) -> member(first(f22(u,intersection(f12(v,w),x),y)),first(z))*. % 299.97/300.39 30500[0:Res:288.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(intersection(f12(u,v),x)) member(ordered_pair(f19(intersection(f12(u,v),x)),f20(intersection(f12(u,v),x))),first(w))*. % 299.97/300.39 30499[0:Res:287.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(intersection(f12(u,v),x)) member(ordered_pair(f19(intersection(f12(u,v),x)),f21(intersection(f12(u,v),x))),first(w))*. % 299.97/300.39 30496[0:Res:280.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(intersection(x,f12(u,v))) member(ordered_pair(f19(intersection(x,f12(u,v))),f20(intersection(x,f12(u,v)))),first(w))*. % 299.97/300.39 30495[0:Res:279.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(intersection(x,f12(u,v))) member(ordered_pair(f19(intersection(x,f12(u,v))),f21(intersection(x,f12(u,v)))),first(w))*. % 299.97/300.39 30474[0:Res:1280.1,5024.1] || member(u,apply(cross_product(v,f12(w,x)),y)) member(w,flip_range_of(x)) equal(z,w) -> member(second(f28(u,cross_product(v,f12(w,x)),y)),first(z))*. % 299.97/300.39 30667[0:Res:1556.1,5064.1] || member(u,image(intersection(v,f5(w,x)),y)) member(w,first(x)) equal(z,x) -> member(first(f22(u,intersection(v,f5(w,x)),y)),second(z))*. % 299.97/300.39 30666[0:Res:1344.1,5064.1] || member(u,image(v,cross_product(f5(w,x),y))) member(w,first(x)) equal(z,x) -> member(first(f22(u,v,cross_product(f5(w,x),y))),second(z))*. % 299.97/300.39 30664[0:Res:1555.1,5064.1] || member(u,image(intersection(f5(v,w),x),y)) member(v,first(w)) equal(z,w) -> member(first(f22(u,intersection(f5(v,w),x),y)),second(z))*. % 299.97/300.39 30653[0:Res:288.1,5064.1] || member(u,first(v)) equal(w,v) -> single_valued_set(intersection(f5(u,v),x)) member(ordered_pair(f19(intersection(f5(u,v),x)),f20(intersection(f5(u,v),x))),second(w))*. % 299.97/300.39 30652[0:Res:287.1,5064.1] || member(u,first(v)) equal(w,v) -> single_valued_set(intersection(f5(u,v),x)) member(ordered_pair(f19(intersection(f5(u,v),x)),f21(intersection(f5(u,v),x))),second(w))*. % 299.97/300.39 30649[0:Res:280.1,5064.1] || member(u,first(v)) equal(w,v) -> single_valued_set(intersection(x,f5(u,v))) member(ordered_pair(f19(intersection(x,f5(u,v))),f20(intersection(x,f5(u,v)))),second(w))*. % 299.97/300.39 30648[0:Res:279.1,5064.1] || member(u,first(v)) equal(w,v) -> single_valued_set(intersection(x,f5(u,v))) member(ordered_pair(f19(intersection(x,f5(u,v))),f21(intersection(x,f5(u,v)))),second(w))*. % 299.97/300.39 30627[0:Res:1280.1,5064.1] || member(u,apply(cross_product(v,f5(w,x)),y)) member(w,first(x)) equal(z,x) -> member(second(f28(u,cross_product(v,f5(w,x)),y)),second(z))*. % 299.97/300.39 30824[0:Res:1556.1,5065.1] || member(u,image(intersection(v,f7(w,x)),y)) member(w,second(x)) equal(z,x) -> member(first(f22(u,intersection(v,f7(w,x)),y)),second(z))*. % 299.97/300.39 30823[0:Res:1344.1,5065.1] || member(u,image(v,cross_product(f7(w,x),y))) member(w,second(x)) equal(z,x) -> member(first(f22(u,v,cross_product(f7(w,x),y))),second(z))*. % 299.97/300.39 30821[0:Res:1555.1,5065.1] || member(u,image(intersection(f7(v,w),x),y)) member(v,second(w)) equal(z,w) -> member(first(f22(u,intersection(f7(v,w),x),y)),second(z))*. % 299.97/300.39 30810[0:Res:288.1,5065.1] || member(u,second(v)) equal(w,v) -> single_valued_set(intersection(f7(u,v),x)) member(ordered_pair(f19(intersection(f7(u,v),x)),f20(intersection(f7(u,v),x))),second(w))*. % 299.97/300.39 30809[0:Res:287.1,5065.1] || member(u,second(v)) equal(w,v) -> single_valued_set(intersection(f7(u,v),x)) member(ordered_pair(f19(intersection(f7(u,v),x)),f21(intersection(f7(u,v),x))),second(w))*. % 299.97/300.39 30806[0:Res:280.1,5065.1] || member(u,second(v)) equal(w,v) -> single_valued_set(intersection(x,f7(u,v))) member(ordered_pair(f19(intersection(x,f7(u,v))),f20(intersection(x,f7(u,v)))),second(w))*. % 299.97/300.39 30805[0:Res:279.1,5065.1] || member(u,second(v)) equal(w,v) -> single_valued_set(intersection(x,f7(u,v))) member(ordered_pair(f19(intersection(x,f7(u,v))),f21(intersection(x,f7(u,v)))),second(w))*. % 299.97/300.39 30784[0:Res:1280.1,5065.1] || member(u,apply(cross_product(v,f7(w,x)),y)) member(w,second(x)) equal(z,x) -> member(second(f28(u,cross_product(v,f7(w,x)),y)),second(z))*. % 299.97/300.39 31435[0:Res:3824.2,1354.0] || -> equal(u,intersection(image(v,cross_product(w,x)),y)) member(f1(u,intersection(image(v,cross_product(w,x)),y)),u)* member(f1(u,intersection(image(v,cross_product(w,x)),y)),x)*. % 299.97/300.39 31377[0:Res:3824.1,1354.0] || -> equal(image(u,cross_product(v,w)),intersection(x,y)) member(f1(image(u,cross_product(v,w)),intersection(x,y)),x)* member(f1(image(u,cross_product(v,w)),intersection(x,y)),w)*. % 299.97/300.39 31645[0:Res:3825.2,1354.0] || -> equal(u,intersection(v,image(w,cross_product(x,y)))) member(f1(u,intersection(v,image(w,cross_product(x,y)))),u)* member(f1(u,intersection(v,image(w,cross_product(x,y)))),y)*. % 299.97/300.39 31587[0:Res:3825.1,1354.0] || -> equal(image(u,cross_product(v,w)),intersection(x,y)) member(f1(image(u,cross_product(v,w)),intersection(x,y)),y)* member(f1(image(u,cross_product(v,w)),intersection(x,y)),w)*. % 299.97/300.39 31828[0:Res:3842.2,1354.0] || -> equal(intersection(image(u,cross_product(v,w)),x),y) member(f1(intersection(image(u,cross_product(v,w)),x),y),y)* member(f1(intersection(image(u,cross_product(v,w)),x),y),w)*. % 299.97/300.39 31770[0:Res:3842.1,1354.0] || -> equal(intersection(u,v),image(w,cross_product(x,y))) member(f1(intersection(u,v),image(w,cross_product(x,y))),u)* member(f1(intersection(u,v),image(w,cross_product(x,y))),y)*. % 299.97/300.39 32009[0:Res:3843.2,1354.0] || -> equal(intersection(u,image(v,cross_product(w,x))),y) member(f1(intersection(u,image(v,cross_product(w,x))),y),y)* member(f1(intersection(u,image(v,cross_product(w,x))),y),x)*. % 299.97/300.39 31951[0:Res:3843.1,1354.0] || -> equal(intersection(u,v),image(w,cross_product(x,y))) member(f1(intersection(u,v),image(w,cross_product(x,y))),v)* member(f1(intersection(u,v),image(w,cross_product(x,y))),y)*. % 299.97/300.39 32212[2:Rew:122.0,32196.2] || member(u,range_of(v)) member(f27(u,v),converse(second(f28(w,x,ordered_pair(u,first(f27(u,v)))))))* member(w,apply_to_two_arguments(x,u,first(f27(u,v)))) -> . % 299.97/300.39 32382[2:Rew:122.0,32367.2] || member(u,domain_of(v)) member(f8(u,v),converse(second(f28(w,x,ordered_pair(second(f8(u,v)),u)))))* member(w,apply_to_two_arguments(x,second(f8(u,v)),u)) -> . % 299.97/300.39 32412[0:Res:33.2,4119.1] || member(ordered_pair(u,first(f27(u,v))),w)* member(ordered_pair(u,first(f27(u,v))),x)* member(u,range_of(v)) -> member(f27(u,v),converse(intersection(x,w)))*. % 299.97/300.39 32411[0:Res:120.1,4119.1] || member(ordered_pair(u,first(f27(u,v))),apply(w,x)) member(u,range_of(v)) -> member(f27(u,v),converse(second(f28(ordered_pair(u,first(f27(u,v))),w,x))))*. % 299.97/300.39 32494[0:Res:33.2,4120.1] || member(ordered_pair(second(f8(u,v)),u),w)* member(ordered_pair(second(f8(u,v)),u),x)* member(u,domain_of(v)) -> member(f8(u,v),converse(intersection(x,w)))*. % 299.97/300.39 32493[0:Res:120.1,4120.1] || member(ordered_pair(second(f8(u,v)),u),apply(w,x)) member(u,domain_of(v)) -> member(f8(u,v),converse(second(f28(ordered_pair(second(f8(u,v)),u),w,x))))*. % 299.97/300.39 32840[0:Res:3836.2,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(w,f3(u)),x) member(f1(cross_product(w,f3(u)),x),x)* member(second(f1(cross_product(w,f3(u)),x)),second(v))*. % 299.97/300.39 32839[0:Res:3836.2,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(w,f2(u)),x) member(f1(cross_product(w,f2(u)),x),x)* member(second(f1(cross_product(w,f2(u)),x)),first(v))*. % 299.97/300.39 32785[0:Res:3836.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(w,x),f3(u)) member(second(f1(cross_product(w,x),f3(u))),x)* member(f1(cross_product(w,x),f3(u)),second(v))*. % 299.97/300.39 32784[0:Res:3836.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(w,x),f2(u)) member(second(f1(cross_product(w,x),f2(u))),x)* member(f1(cross_product(w,x),f2(u)),first(v))*. % 299.97/300.39 32749[3:Res:3836.1,6176.0] || -> equal(cross_product(u,v),converse(w)) member(second(f1(cross_product(u,v),converse(w))),v) ordered_pair_predicate(ordered_pair(second(f1(cross_product(u,v),converse(w))),first(f1(cross_product(u,v),converse(w)))))*. % 299.97/300.39 33005[0:Res:3835.2,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(f3(u),w),x) member(f1(cross_product(f3(u),w),x),x)* member(first(f1(cross_product(f3(u),w),x)),second(v))*. % 299.97/300.39 33004[0:Res:3835.2,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(f2(u),w),x) member(f1(cross_product(f2(u),w),x),x)* member(first(f1(cross_product(f2(u),w),x)),first(v))*. % 299.97/300.39 32950[0:Res:3835.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(w,x),f3(u)) member(first(f1(cross_product(w,x),f3(u))),w)* member(f1(cross_product(w,x),f3(u)),second(v))*. % 299.97/300.39 32949[0:Res:3835.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(cross_product(w,x),f2(u)) member(first(f1(cross_product(w,x),f2(u))),w)* member(f1(cross_product(w,x),f2(u)),first(v))*. % 299.97/300.39 32914[3:Res:3835.1,6176.0] || -> equal(cross_product(u,v),converse(w)) member(first(f1(cross_product(u,v),converse(w))),u) ordered_pair_predicate(ordered_pair(second(f1(cross_product(u,v),converse(w))),first(f1(cross_product(u,v),converse(w)))))*. % 299.97/300.39 33176[0:Res:3818.2,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(w,cross_product(x,f3(u))) member(f1(w,cross_product(x,f3(u))),w)* member(second(f1(w,cross_product(x,f3(u)))),second(v))*. % 299.97/300.39 33175[0:Res:3818.2,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(w,cross_product(x,f2(u))) member(f1(w,cross_product(x,f2(u))),w)* member(second(f1(w,cross_product(x,f2(u)))),first(v))*. % 299.97/300.39 33121[0:Res:3818.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),cross_product(w,x)) member(second(f1(f3(u),cross_product(w,x))),x)* member(f1(f3(u),cross_product(w,x)),second(v))*. % 299.97/300.39 33120[0:Res:3818.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),cross_product(w,x)) member(second(f1(f2(u),cross_product(w,x))),x)* member(f1(f2(u),cross_product(w,x)),first(v))*. % 299.97/300.39 33085[3:Res:3818.1,6176.0] || -> equal(converse(u),cross_product(v,w)) member(second(f1(converse(u),cross_product(v,w))),w) ordered_pair_predicate(ordered_pair(second(f1(converse(u),cross_product(v,w))),first(f1(converse(u),cross_product(v,w)))))*. % 299.97/300.39 33342[0:Res:3817.2,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(w,cross_product(f3(u),x)) member(f1(w,cross_product(f3(u),x)),w)* member(first(f1(w,cross_product(f3(u),x))),second(v))*. % 299.97/300.39 33341[0:Res:3817.2,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(w,cross_product(f2(u),x)) member(f1(w,cross_product(f2(u),x)),w)* member(first(f1(w,cross_product(f2(u),x))),first(v))*. % 299.97/300.39 33287[0:Res:3817.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),cross_product(w,x)) member(first(f1(f3(u),cross_product(w,x))),w)* member(f1(f3(u),cross_product(w,x)),second(v))*. % 299.97/300.39 33286[0:Res:3817.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),cross_product(w,x)) member(first(f1(f2(u),cross_product(w,x))),w)* member(f1(f2(u),cross_product(w,x)),first(v))*. % 299.97/300.39 33251[3:Res:3817.1,6176.0] || -> equal(converse(u),cross_product(v,w)) member(first(f1(converse(u),cross_product(v,w))),v) ordered_pair_predicate(ordered_pair(second(f1(converse(u),cross_product(v,w))),first(f1(converse(u),cross_product(v,w)))))*. % 299.97/300.39 33650[0:Rew:119.1,33645.3,119.1,33645.2] || member(u,apply(v,w)) subset(v,converse(non_ordered_pair(x,y)))* -> equal(ordered_pair(second(f28(u,v,w)),w),y)* equal(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.39 33651[0:Rew:95.1,33643.3,95.1,33643.2] || member(u,image(v,w)) subset(w,converse(non_ordered_pair(x,y)))* -> equal(ordered_pair(u,first(f22(u,v,w))),y)* equal(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.39 33984[3:Rew:95.1,33953.3] || member(u,image(v,w)) member(f22(u,v,w),x)* equal(first(f22(u,v,w)),y)* -> disjoint(z,u) member(f23(z,u),apply(x,y))*. % 299.97/300.39 34130[3:Rew:95.1,34099.3] || member(u,image(v,w)) member(f22(u,v,w),x)* equal(first(f22(u,v,w)),y)* -> disjoint(u,z) member(f23(u,z),apply(x,y))*. % 299.97/300.39 34200[3:Rew:95.1,34177.3] || member(u,image(v,w)) member(f22(u,v,w),x)* equal(first(f22(u,v,w)),y)* -> subset(u,z) member(f17(u,z),apply(x,y))*. % 299.97/300.39 34325[0:Res:957.2,1437.0] || subset(u,range_of(non_ordered_pair(v,w))) -> single_valued_set(u) equal(f27(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w)),w)** equal(f27(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34324[0:Res:956.2,1437.0] || subset(u,range_of(non_ordered_pair(v,w))) -> single_valued_set(u) equal(f27(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w)),w)** equal(f27(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34497[0:Res:957.2,1438.0] || subset(u,sigma(non_ordered_pair(v,w))) -> single_valued_set(u) equal(f16(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34496[0:Res:956.2,1438.0] || subset(u,sigma(non_ordered_pair(v,w))) -> single_valued_set(u) equal(f16(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34662[0:Res:957.2,1439.0] || subset(u,domain_of(non_ordered_pair(v,w))) -> single_valued_set(u) equal(f8(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w)),w)** equal(f8(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 34661[0:Res:956.2,1439.0] || subset(u,domain_of(non_ordered_pair(v,w))) -> single_valued_set(u) equal(f8(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w)),w)** equal(f8(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.39 35120[0:Res:1544.2,5025.1] || member(u,image(v,w)) subset(v,f29(x,y,z))* member(x,compose(y,z)) equal(x1,x)* -> member(first(f22(u,v,w)),first(x1))*. % 299.97/300.39 35079[0:Res:427.1,5025.1] || member(u,range_of(intersection(v,f29(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(f27(u,intersection(v,f29(w,x,y))),first(z))*. % 299.97/300.39 35077[0:Res:456.1,5025.1] || member(u,sigma(intersection(v,f29(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(f16(u,intersection(v,f29(w,x,y))),first(z))*. % 299.97/300.39 35075[0:Res:494.1,5025.1] || member(u,domain_of(intersection(v,f29(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(f8(u,intersection(v,f29(w,x,y))),first(z))*. % 299.97/300.39 35046[0:Res:426.1,5025.1] || member(u,range_of(intersection(f29(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(f27(u,intersection(f29(v,w,x),y)),first(z))*. % 299.97/300.39 35044[0:Res:455.1,5025.1] || member(u,sigma(intersection(f29(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(f16(u,intersection(f29(v,w,x),y)),first(z))*. % 299.97/300.39 35042[0:Res:493.1,5025.1] || member(u,domain_of(intersection(f29(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(f8(u,intersection(f29(v,w,x),y)),first(z))*. % 299.97/300.39 35290[0:Res:1544.2,5066.1] || member(u,image(v,w)) subset(v,f30(x,y,z))* member(x,compose(y,z)) equal(x1,x)* -> member(first(f22(u,v,w)),second(x1))*. % 299.97/300.40 35249[0:Res:427.1,5066.1] || member(u,range_of(intersection(v,f30(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(f27(u,intersection(v,f30(w,x,y))),second(z))*. % 299.97/300.40 35247[0:Res:456.1,5066.1] || member(u,sigma(intersection(v,f30(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(f16(u,intersection(v,f30(w,x,y))),second(z))*. % 299.97/300.40 35245[0:Res:494.1,5066.1] || member(u,domain_of(intersection(v,f30(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(f8(u,intersection(v,f30(w,x,y))),second(z))*. % 299.97/300.40 35216[0:Res:426.1,5066.1] || member(u,range_of(intersection(f30(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(f27(u,intersection(f30(v,w,x),y)),second(z))*. % 299.97/300.40 35214[0:Res:455.1,5066.1] || member(u,sigma(intersection(f30(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(f16(u,intersection(f30(v,w,x),y)),second(z))*. % 299.97/300.40 35212[0:Res:493.1,5066.1] || member(u,domain_of(intersection(f30(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(f8(u,intersection(f30(v,w,x),y)),second(z))*. % 299.97/300.40 35398[0:MRR:35372.0,35372.2,132.1,133.1] little_set(u) single_valued_set(v) || member(w,compose(x,y)) subset(y,v) member(ordered_pair(f31(w,x,y),u),v)* -> equal(u,f30(w,x,y)). % 299.97/300.40 35518[0:MRR:35492.0,35492.2,133.1,131.1] little_set(u) single_valued_set(v) || member(w,compose(x,y)) subset(x,v) member(ordered_pair(f29(w,x,y),u),v)* -> equal(u,f31(w,x,y)). % 299.97/300.40 35620[3:MRR:35578.0,6168.1] || member(ordered_pair(second(f17(u,v)),first(f17(u,v))),sigma(w)) disjoint(converse(f16(ordered_pair(second(f17(u,v)),first(f17(u,v))),w)),u)* -> subset(u,v). % 299.97/300.40 35621[3:MRR:35577.0,6167.1] || member(ordered_pair(second(f23(u,v)),first(f23(u,v))),sigma(w)) disjoint(converse(f16(ordered_pair(second(f23(u,v)),first(f23(u,v))),w)),v)* -> disjoint(u,v). % 299.97/300.40 35622[3:MRR:35576.0,6167.1] || member(ordered_pair(second(f23(u,v)),first(f23(u,v))),sigma(w)) disjoint(converse(f16(ordered_pair(second(f23(u,v)),first(f23(u,v))),w)),u)* -> disjoint(u,v). % 299.97/300.40 35779[3:MRR:35737.0,6168.1] || member(ordered_pair(second(f17(u,v)),first(f17(u,v))),first(w)) disjoint(converse(f4(ordered_pair(second(f17(u,v)),first(f17(u,v))),w)),u)* -> subset(u,v). % 299.97/300.40 35780[3:MRR:35736.0,6167.1] || member(ordered_pair(second(f23(u,v)),first(f23(u,v))),first(w)) disjoint(converse(f4(ordered_pair(second(f23(u,v)),first(f23(u,v))),w)),v)* -> disjoint(u,v). % 299.97/300.40 35781[3:MRR:35735.0,6167.1] || member(ordered_pair(second(f23(u,v)),first(f23(u,v))),first(w)) disjoint(converse(f4(ordered_pair(second(f23(u,v)),first(f23(u,v))),w)),u)* -> disjoint(u,v). % 299.97/300.40 35998[3:MRR:35956.0,6168.1] || member(ordered_pair(second(f17(u,v)),first(f17(u,v))),second(w)) disjoint(converse(f7(ordered_pair(second(f17(u,v)),first(f17(u,v))),w)),u)* -> subset(u,v). % 299.97/300.40 35999[3:MRR:35955.0,6167.1] || member(ordered_pair(second(f23(u,v)),first(f23(u,v))),second(w)) disjoint(converse(f7(ordered_pair(second(f23(u,v)),first(f23(u,v))),w)),v)* -> disjoint(u,v). % 299.97/300.40 36000[3:MRR:35954.0,6167.1] || member(ordered_pair(second(f23(u,v)),first(f23(u,v))),second(w)) disjoint(converse(f7(ordered_pair(second(f23(u,v)),first(f23(u,v))),w)),u)* -> disjoint(u,v). % 299.97/300.40 36352[0:Res:5054.3,4926.2] little_set(u) little_set(v) little_set(w) || member(f8(x,y),u)* member(x,domain_of(y)) equal(w,x)* -> member(w,domain_of(second(ordered_pair(v,u))))*. % 299.97/300.40 36351[0:Res:5009.3,4926.2] little_set(u) little_set(v) little_set(w) || member(f8(x,y),v)* member(x,domain_of(y)) equal(w,x)* -> member(w,domain_of(first(ordered_pair(v,u))))*. % 299.97/300.40 36513[0:Res:5054.3,4972.2] little_set(u) little_set(v) little_set(w) || member(f27(x,y),u)* member(x,range_of(y)) equal(w,x)* -> member(w,range_of(second(ordered_pair(v,u))))*. % 299.97/300.40 36512[0:Res:5009.3,4972.2] little_set(u) little_set(v) little_set(w) || member(f27(x,y),v)* member(x,range_of(y)) equal(w,x)* -> member(w,range_of(first(ordered_pair(v,u))))*. % 299.97/300.40 36613[0:Res:4622.2,5063.1] ordered_pair_predicate(u) || member(v,flip_range_of(w)) subset(w,f3(u))* equal(x,u)* -> member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),second(x))*. % 299.97/300.40 36612[0:Res:4622.2,5018.1] ordered_pair_predicate(u) || member(v,flip_range_of(w)) subset(w,f2(u))* equal(x,u)* -> member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),first(x))*. % 299.97/300.40 37041[0:Res:4770.2,5063.1] ordered_pair_predicate(u) || member(v,rotate_right(w)) subset(w,f3(u))* equal(x,u)* -> member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),second(x))*. % 299.97/300.40 37040[0:Res:4770.2,5018.1] ordered_pair_predicate(u) || member(v,rotate_right(w)) subset(w,f2(u))* equal(x,u)* -> member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),first(x))*. % 299.97/300.40 38156[0:Res:5054.3,4271.1] little_set(u) little_set(v) || member(ordered_pair(f31(w,x,y),f30(w,x,y)),u)* member(w,compose(x,y)) disjoint(second(ordered_pair(v,u)),y)* -> . % 299.97/300.40 38155[0:Res:5009.3,4271.1] little_set(u) little_set(v) || member(ordered_pair(f31(w,x,y),f30(w,x,y)),v)* member(w,compose(x,y)) disjoint(first(ordered_pair(v,u)),y)* -> . % 299.97/300.40 38275[0:Res:5054.3,4346.1] little_set(u) little_set(v) || member(ordered_pair(f29(w,x,y),f31(w,x,y)),u)* member(w,compose(x,y)) disjoint(second(ordered_pair(v,u)),x)* -> . % 299.97/300.40 38274[0:Res:5009.3,4346.1] little_set(u) little_set(v) || member(ordered_pair(f29(w,x,y),f31(w,x,y)),v)* member(w,compose(x,y)) disjoint(first(ordered_pair(v,u)),x)* -> . % 299.97/300.40 38387[0:Res:5054.3,5125.1] little_set(u) little_set(v) || member(f28(w,x,y),u)* member(w,apply(x,y)) equal(y,z)* -> member(w,apply(second(ordered_pair(v,u)),z))*. % 299.97/300.40 38386[0:Res:5009.3,5125.1] little_set(u) little_set(v) || member(f28(w,x,y),v)* member(w,apply(x,y)) equal(y,z)* -> member(w,apply(first(ordered_pair(v,u)),z))*. % 299.97/300.40 38374[0:Res:33.2,5125.1] || member(f28(u,v,w),x)* member(f28(u,v,w),y)* member(u,apply(v,w)) equal(w,z)* -> member(u,apply(intersection(y,x),z))*. % 299.97/300.40 38373[0:Res:120.1,5125.1] || member(f28(u,v,w),apply(x,y)) member(u,apply(v,w)) equal(w,z) -> member(u,apply(second(f28(f28(u,v,w),x,y)),z))*. % 299.97/300.40 38494[0:Rew:36.0,38455.0] || member(u,flip_range_of(union(v,w))) member(ordered_pair(f12(u,union(v,w)),ordered_pair(f14(u,union(v,w)),f13(u,union(v,w)))),intersection(complement(v),complement(w)))* -> . % 299.97/300.40 38499[0:SSi:38461.0,371.0,371.0] || equal(ordered_pair(f12(u,complement(non_ordered_pair(v,w))),ordered_pair(f14(u,complement(non_ordered_pair(v,w))),f13(u,complement(non_ordered_pair(v,w))))),w)** member(u,flip_range_of(complement(non_ordered_pair(v,w)))) -> . % 299.97/300.40 38500[0:SSi:38460.0,371.0,371.0] || equal(ordered_pair(f12(u,complement(non_ordered_pair(v,w))),ordered_pair(f14(u,complement(non_ordered_pair(v,w))),f13(u,complement(non_ordered_pair(v,w))))),v)** member(u,flip_range_of(complement(non_ordered_pair(v,w)))) -> . % 299.97/300.40 38593[0:Rew:36.0,38554.0] || member(u,rotate_right(union(v,w))) member(ordered_pair(f10(u,union(v,w)),ordered_pair(f11(u,union(v,w)),f9(u,union(v,w)))),intersection(complement(v),complement(w)))* -> . % 299.97/300.40 38598[0:SSi:38560.0,371.0,371.0] || equal(ordered_pair(f10(u,complement(non_ordered_pair(v,w))),ordered_pair(f11(u,complement(non_ordered_pair(v,w))),f9(u,complement(non_ordered_pair(v,w))))),w)** member(u,rotate_right(complement(non_ordered_pair(v,w)))) -> . % 299.97/300.40 38599[0:SSi:38559.0,371.0,371.0] || equal(ordered_pair(f10(u,complement(non_ordered_pair(v,w))),ordered_pair(f11(u,complement(non_ordered_pair(v,w))),f9(u,complement(non_ordered_pair(v,w))))),v)** member(u,rotate_right(complement(non_ordered_pair(v,w)))) -> . % 299.97/300.40 38864[0:Res:1103.2,4457.3] little_set(cross_product(u,v)) ordered_pair_predicate(w) || equal(cross_product(u,v),singleton_set(x))* member(second(w),v)* member(first(w),u)* -> member(w,sigma(ordered_pair(x,y)))*. % 299.97/300.40 38856[0:Res:33.2,4457.3] ordered_pair_predicate(u) || member(cross_product(v,w),x)* member(cross_product(v,w),y)* member(second(u),w)* member(first(u),v)* -> member(u,sigma(intersection(y,x)))*. % 299.97/300.40 38855[0:Res:120.1,4457.3] ordered_pair_predicate(u) || member(cross_product(v,w),apply(x,y)) member(second(u),w) member(first(u),v) -> member(u,sigma(second(f28(cross_product(v,w),x,y))))*. % 299.97/300.40 39051[3:Res:378.3,20705.0] ordered_pair_predicate(complement(sigma(cross_product(u,v)))) || member(second(complement(sigma(cross_product(u,v)))),v)* member(first(complement(sigma(cross_product(u,v)))),u)* -> member(infinity,sigma(cross_product(u,v))). % 299.97/300.40 40252[0:Res:4115.1,5068.1] ordered_pair_predicate(u) || member(v,rotate_right(w)) equal(x,v)* -> member(u,converse(complement(ordered_pair(f10(v,w),f11(v,w)))))* member(ordered_pair(second(u),first(u)),second(x))*. % 299.97/300.40 40432[0:Res:4115.1,5070.1] ordered_pair_predicate(u) || member(v,flip_range_of(w)) equal(x,v)* -> member(u,converse(complement(ordered_pair(f13(v,w),f14(v,w)))))* member(ordered_pair(second(u),first(u)),second(x))*. % 299.97/300.40 41250[0:Res:4286.1,274.0] || member(u,compose(v,intersection(w,restrict(x,y)))) -> member(ordered_pair(f31(u,v,intersection(w,restrict(x,y))),f30(u,v,intersection(w,restrict(x,y)))),cross_product(y,universal_set))*. % 299.97/300.40 41489[0:Res:4285.1,274.0] || member(u,compose(v,intersection(restrict(w,x),y))) -> member(ordered_pair(f31(u,v,intersection(restrict(w,x),y)),f30(u,v,intersection(restrict(w,x),y))),cross_product(x,universal_set))*. % 299.97/300.40 41627[0:Res:4361.1,274.0] || member(u,compose(intersection(v,restrict(w,x)),y)) -> member(ordered_pair(f29(u,intersection(v,restrict(w,x)),y),f31(u,intersection(v,restrict(w,x)),y)),cross_product(x,universal_set))*. % 299.97/300.40 41749[0:Res:4360.1,274.0] || member(u,compose(intersection(restrict(v,w),x),y)) -> member(ordered_pair(f29(u,intersection(restrict(v,w),x),y),f31(u,intersection(restrict(v,w),x),y)),cross_product(w,universal_set))*. % 299.97/300.40 42000[3:Res:955.2,6212.0] || subset(u,converse(second(v)))* member(v,w)* equal(first(v),x)* -> subset(u,y) member(ordered_pair(second(f17(u,y)),first(f17(u,y))),apply(w,x))*. % 299.97/300.40 41997[3:Res:961.2,6212.0] || subset(u,converse(second(v)))* member(v,w)* equal(first(v),x)* -> disjoint(y,u) member(ordered_pair(second(f23(y,u)),first(f23(y,u))),apply(w,x))*. % 299.97/300.40 41995[3:Res:954.2,6212.0] || subset(u,converse(second(v)))* member(v,w)* equal(first(v),x)* -> disjoint(u,y) member(ordered_pair(second(f23(u,y)),first(f23(u,y))),apply(w,x))*. % 299.97/300.40 41994[3:Res:100.1,6212.0] || member(u,v) equal(first(u),w) -> disjoint(x,converse(second(u))) member(ordered_pair(second(f23(x,converse(second(u)))),first(f23(x,converse(second(u))))),apply(v,w))*. % 299.97/300.40 41964[3:Res:99.1,6212.0] || member(u,v) equal(first(u),w) -> disjoint(converse(second(u)),x) member(ordered_pair(second(f23(converse(second(u)),x)),first(f23(converse(second(u)),x))),apply(v,w))*. % 299.97/300.40 41962[3:Res:71.1,6212.0] || member(u,v) equal(first(u),w) -> subset(converse(second(u)),x) member(ordered_pair(second(f17(converse(second(u)),x)),first(f17(converse(second(u)),x))),apply(v,w))*. % 299.97/300.40 42217[0:MRR:42216.0,117.1] little_set(u) || member(second(f28(v,w,x)),y)* member(x,z)* member(v,apply(w,x)) equal(u,x)* -> member(u,domain_of(cross_product(z,y)))*. % 299.97/300.40 42293[0:MRR:42292.0,92.1] little_set(u) || member(v,w)* member(first(f22(v,x,y)),z)* member(v,image(x,y)) equal(u,v)* -> member(u,range_of(cross_product(z,w)))*. % 299.97/300.40 42346[0:Res:4279.1,43.0] || member(u,compose(v,cross_product(w,cross_product(x,y)))) -> member(second(second(ordered_pair(f31(u,v,cross_product(w,cross_product(x,y))),f30(u,v,cross_product(w,cross_product(x,y)))))),y)*. % 299.97/300.40 42345[0:Res:4279.1,42.0] || member(u,compose(v,cross_product(w,cross_product(x,y)))) -> member(first(second(ordered_pair(f31(u,v,cross_product(w,cross_product(x,y))),f30(u,v,cross_product(w,cross_product(x,y)))))),x)*. % 299.97/300.40 42457[0:Res:4278.1,43.0] || member(u,compose(v,cross_product(cross_product(w,x),y))) -> member(second(first(ordered_pair(f31(u,v,cross_product(cross_product(w,x),y)),f30(u,v,cross_product(cross_product(w,x),y))))),x)*. % 299.97/300.40 42456[0:Res:4278.1,42.0] || member(u,compose(v,cross_product(cross_product(w,x),y))) -> member(first(first(ordered_pair(f31(u,v,cross_product(cross_product(w,x),y)),f30(u,v,cross_product(cross_product(w,x),y))))),w)*. % 299.97/300.40 42604[0:Res:4354.1,43.0] || member(u,compose(cross_product(v,cross_product(w,x)),y)) -> member(second(second(ordered_pair(f29(u,cross_product(v,cross_product(w,x)),y),f31(u,cross_product(v,cross_product(w,x)),y)))),x)*. % 299.97/300.40 42603[0:Res:4354.1,42.0] || member(u,compose(cross_product(v,cross_product(w,x)),y)) -> member(first(second(ordered_pair(f29(u,cross_product(v,cross_product(w,x)),y),f31(u,cross_product(v,cross_product(w,x)),y)))),w)*. % 299.97/300.40 42746[0:Res:4353.1,43.0] || member(u,compose(cross_product(cross_product(v,w),x),y)) -> member(second(first(ordered_pair(f29(u,cross_product(cross_product(v,w),x),y),f31(u,cross_product(cross_product(v,w),x),y)))),w)*. % 299.97/300.40 42745[0:Res:4353.1,42.0] || member(u,compose(cross_product(cross_product(v,w),x),y)) -> member(first(first(ordered_pair(f29(u,cross_product(cross_product(v,w),x),y),f31(u,cross_product(cross_product(v,w),x),y)))),v)*. % 299.97/300.40 42893[0:Res:955.2,1442.0] || subset(u,apply(non_ordered_pair(v,w),x)) -> subset(u,y) equal(f28(f17(u,y),non_ordered_pair(v,w),x),w)** equal(f28(f17(u,y),non_ordered_pair(v,w),x),v)**. % 299.97/300.40 42890[0:Res:961.2,1442.0] || subset(u,apply(non_ordered_pair(v,w),x)) -> disjoint(y,u) equal(f28(f23(y,u),non_ordered_pair(v,w),x),w)** equal(f28(f23(y,u),non_ordered_pair(v,w),x),v)**. % 299.97/300.40 42888[0:Res:954.2,1442.0] || subset(u,apply(non_ordered_pair(v,w),x)) -> disjoint(u,y) equal(f28(f23(u,y),non_ordered_pair(v,w),x),w)** equal(f28(f23(u,y),non_ordered_pair(v,w),x),v)**. % 299.97/300.40 43070[0:Res:955.2,1443.0] || subset(u,image(v,non_ordered_pair(w,x))) -> subset(u,y) equal(f22(f17(u,y),v,non_ordered_pair(w,x)),x)** equal(f22(f17(u,y),v,non_ordered_pair(w,x)),w)**. % 299.97/300.40 43067[0:Res:961.2,1443.0] || subset(u,image(v,non_ordered_pair(w,x))) -> disjoint(y,u) equal(f22(f23(y,u),v,non_ordered_pair(w,x)),x)** equal(f22(f23(y,u),v,non_ordered_pair(w,x)),w)**. % 299.97/300.40 43065[0:Res:954.2,1443.0] || subset(u,image(v,non_ordered_pair(w,x))) -> disjoint(u,y) equal(f22(f23(u,y),v,non_ordered_pair(w,x)),x)** equal(f22(f23(u,y),v,non_ordered_pair(w,x)),w)**. % 299.97/300.40 43447[3:MRR:43389.0,6165.1] || member(ordered_pair(second(successor(u)),first(successor(u))),apply(v,w)) member(u,infinity) disjoint(converse(second(f28(ordered_pair(second(successor(u)),first(successor(u))),v,w))),infinity)* -> . % 299.97/300.40 44226[3:Res:6216.3,68.0] || member(u,image(second(v),w)) member(v,x)* equal(first(v),y)* member(apply(x,y),z)* -> member(first(f22(u,second(v),w)),sigma(z))*. % 299.97/300.40 44225[3:Res:6216.3,98.0] || member(u,image(second(v),w)) member(v,x)* equal(first(v),y)* member(first(f22(u,second(v),w)),z)* disjoint(z,apply(x,y))* -> . % 299.97/300.40 44327[0:Res:4635.1,34.1] || member(u,flip_range_of(intersection(v,complement(w)))) member(ordered_pair(f12(u,intersection(v,complement(w))),ordered_pair(f14(u,intersection(v,complement(w))),f13(u,intersection(v,complement(w))))),w)* -> . % 299.97/300.40 44301[0:Res:4635.1,68.0] || member(u,flip_range_of(intersection(v,w))) member(w,x) -> member(ordered_pair(f12(u,intersection(v,w)),ordered_pair(f14(u,intersection(v,w)),f13(u,intersection(v,w)))),sigma(x))*. % 299.97/300.40 44300[0:Res:4635.1,98.0] || member(u,flip_range_of(intersection(v,w))) member(ordered_pair(f12(u,intersection(v,w)),ordered_pair(f14(u,intersection(v,w)),f13(u,intersection(v,w)))),x)* disjoint(x,w) -> . % 299.97/300.40 44582[0:Res:4634.1,34.1] || member(u,flip_range_of(intersection(complement(v),w))) member(ordered_pair(f12(u,intersection(complement(v),w)),ordered_pair(f14(u,intersection(complement(v),w)),f13(u,intersection(complement(v),w)))),v)* -> . % 299.97/300.40 44556[0:Res:4634.1,68.0] || member(u,flip_range_of(intersection(v,w))) member(v,x) -> member(ordered_pair(f12(u,intersection(v,w)),ordered_pair(f14(u,intersection(v,w)),f13(u,intersection(v,w)))),sigma(x))*. % 299.97/300.40 44555[0:Res:4634.1,98.0] || member(u,flip_range_of(intersection(v,w))) member(ordered_pair(f12(u,intersection(v,w)),ordered_pair(f14(u,intersection(v,w)),f13(u,intersection(v,w)))),x)* disjoint(x,v) -> . % 299.97/300.40 45101[0:Res:4783.1,34.1] || member(u,rotate_right(intersection(v,complement(w)))) member(ordered_pair(f10(u,intersection(v,complement(w))),ordered_pair(f11(u,intersection(v,complement(w))),f9(u,intersection(v,complement(w))))),w)* -> . % 299.97/300.40 45075[0:Res:4783.1,68.0] || member(u,rotate_right(intersection(v,w))) member(w,x) -> member(ordered_pair(f10(u,intersection(v,w)),ordered_pair(f11(u,intersection(v,w)),f9(u,intersection(v,w)))),sigma(x))*. % 299.97/300.40 45074[0:Res:4783.1,98.0] || member(u,rotate_right(intersection(v,w))) member(ordered_pair(f10(u,intersection(v,w)),ordered_pair(f11(u,intersection(v,w)),f9(u,intersection(v,w)))),x)* disjoint(x,w) -> . % 299.97/300.40 46228[0:Res:4782.1,34.1] || member(u,rotate_right(intersection(complement(v),w))) member(ordered_pair(f10(u,intersection(complement(v),w)),ordered_pair(f11(u,intersection(complement(v),w)),f9(u,intersection(complement(v),w)))),v)* -> . % 299.97/300.40 46202[0:Res:4782.1,68.0] || member(u,rotate_right(intersection(v,w))) member(v,x) -> member(ordered_pair(f10(u,intersection(v,w)),ordered_pair(f11(u,intersection(v,w)),f9(u,intersection(v,w)))),sigma(x))*. % 299.97/300.40 46201[0:Res:4782.1,98.0] || member(u,rotate_right(intersection(v,w))) member(ordered_pair(f10(u,intersection(v,w)),ordered_pair(f11(u,intersection(v,w)),f9(u,intersection(v,w)))),x)* disjoint(x,v) -> . % 299.97/300.40 47392[0:Res:3837.1,34.1] || member(f1(non_ordered_pair(u,v),complement(w)),w)* -> equal(non_ordered_pair(u,v),complement(w)) equal(f1(non_ordered_pair(u,v),complement(w)),v) equal(f1(non_ordered_pair(u,v),complement(w)),u). % 299.97/300.40 47366[0:Res:3837.1,68.0] || member(u,v) -> equal(non_ordered_pair(w,x),u) equal(f1(non_ordered_pair(w,x),u),x) equal(f1(non_ordered_pair(w,x),u),w) member(f1(non_ordered_pair(w,x),u),sigma(v))*. % 299.97/300.40 47365[0:Res:3837.1,98.0] || member(f1(non_ordered_pair(u,v),w),x)* disjoint(x,w) -> equal(non_ordered_pair(u,v),w) equal(f1(non_ordered_pair(u,v),w),v) equal(f1(non_ordered_pair(u,v),w),u). % 299.97/300.40 47837[0:Res:3819.1,34.1] || member(f1(complement(u),non_ordered_pair(v,w)),u)* -> equal(complement(u),non_ordered_pair(v,w)) equal(f1(complement(u),non_ordered_pair(v,w)),w) equal(f1(complement(u),non_ordered_pair(v,w)),v). % 299.97/300.40 47811[0:Res:3819.1,68.0] || member(u,v) -> equal(u,non_ordered_pair(w,x)) equal(f1(u,non_ordered_pair(w,x)),x) equal(f1(u,non_ordered_pair(w,x)),w) member(f1(u,non_ordered_pair(w,x)),sigma(v))*. % 299.97/300.40 47810[0:Res:3819.1,98.0] || member(f1(u,non_ordered_pair(v,w)),x)* disjoint(x,u) -> equal(u,non_ordered_pair(v,w)) equal(f1(u,non_ordered_pair(v,w)),w) equal(f1(u,non_ordered_pair(v,w)),v). % 299.97/300.40 59784[16:Rew:375.0,59783.1] || member(ordered_pair(second(singleton_set(singleton_set(a))),first(singleton_set(singleton_set(a)))),apply(u,v)) disjoint(universal_set,converse(second(f28(ordered_pair(second(singleton_set(singleton_set(a))),first(singleton_set(singleton_set(a)))),u,v))))* -> . % 299.97/300.40 55873[16:Rew:54986.0,48759.2] little_set(u) || subset(u,converse(non_ordered_pair(v,w)))* -> equal(u,a) equal(ordered_pair(second(f26(u)),first(f26(u))),w)* equal(ordered_pair(second(f26(u)),first(f26(u))),v)*. % 299.97/300.40 55874[16:Rew:54986.0,48711.1] || subset(u,image(non_ordered_pair(v,w),x)) -> equal(u,a) equal(first(f22(f24(u),non_ordered_pair(v,w),x)),w)** equal(first(f22(f24(u),non_ordered_pair(v,w),x)),v)**. % 299.97/300.40 59785[16:Rew:54986.0,57153.2] ordered_pair_predicate(successor(estin)) || member(ordered_pair(second(successor(a)),first(successor(a))),apply(u,v)) -> member(a,sigma(converse(second(f28(ordered_pair(second(successor(a)),first(successor(a))),u,v)))))*. % 299.97/300.40 57680[16:Rew:54986.0,48633.0] || -> equal(cross_product(u,v),a) equal(w,first(f24(cross_product(u,v)))) member(f1(w,first(f24(cross_product(u,v)))),w)* member(f1(w,first(f24(cross_product(u,v)))),sigma(u))*. % 299.97/300.40 57681[16:Rew:54986.0,48632.0] || -> equal(cross_product(u,v),a) equal(w,second(f24(cross_product(u,v)))) member(f1(w,second(f24(cross_product(u,v)))),w)* member(f1(w,second(f24(cross_product(u,v)))),sigma(v))*. % 299.97/300.40 57682[16:Rew:54986.0,48631.0] || -> equal(cross_product(u,v),a) equal(first(f24(cross_product(u,v))),w) member(f1(first(f24(cross_product(u,v))),w),w)* member(f1(first(f24(cross_product(u,v))),w),sigma(u))*. % 299.97/300.40 57683[16:Rew:54986.0,48630.0] || -> equal(cross_product(u,v),a) equal(second(f24(cross_product(u,v))),w) member(f1(second(f24(cross_product(u,v))),w),w)* member(f1(second(f24(cross_product(u,v))),w),sigma(v))*. % 299.97/300.40 58601[16:Rew:54986.0,51438.1] || member(u,flip_range_of(v)) -> equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),a) ordered_pair_predicate(f26(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))))*. % 299.97/300.40 58603[16:Rew:54986.0,51441.1] || member(u,rotate_right(v)) -> equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),a) ordered_pair_predicate(f26(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))))*. % 299.97/300.40 59786[16:Rew:54986.0,58709.3] || member(u,v) equal(first(u),w) -> equal(converse(second(u)),a) member(ordered_pair(second(f1(a,converse(second(u)))),first(f1(a,converse(second(u))))),apply(v,w))*. % 299.97/300.40 59787[16:Rew:54986.0,58710.3] || member(u,v) equal(first(u),w) -> equal(converse(second(u)),a) member(ordered_pair(second(f1(converse(second(u)),a)),first(f1(converse(second(u)),a))),apply(v,w))*. % 299.97/300.40 58727[16:Rew:54986.0,50805.4] little_set(u) little_set(v) little_set(w) single_valued_set(ordered_pair(universal_set,x)) || equal(ordered_pair(w,u),a)** member(ordered_pair(w,v),ordered_pair(universal_set,x))* -> equal(v,u)*. % 299.97/300.40 58728[16:Rew:54986.0,51298.3] little_set(second(f8(u,v))) || member(u,domain_of(v)) member(f8(u,v),converse(f25))* -> equal(second(f8(u,v)),a) equal(f26(second(f8(u,v))),u). % 299.97/300.40 58729[16:Rew:54986.0,51431.2] || member(u,compose(v,w)) disjoint(singleton_set(ordered_pair(f31(u,v,w),f30(u,v,w))),w)* -> equal(singleton_set(ordered_pair(f31(u,v,w),f30(u,v,w))),a). % 299.97/300.40 58730[16:Rew:54986.0,51434.2] || member(u,compose(v,w)) disjoint(singleton_set(ordered_pair(f29(u,v,w),f31(u,v,w))),v)* -> equal(singleton_set(ordered_pair(f29(u,v,w),f31(u,v,w))),a). % 299.97/300.40 58731[16:Rew:54986.0,51435.0] || equal(ordered_pair(f12(u,complement(ordered_pair(universal_set,v))),ordered_pair(f14(u,complement(ordered_pair(universal_set,v))),f13(u,complement(ordered_pair(universal_set,v))))),a)** member(u,flip_range_of(complement(ordered_pair(universal_set,v)))) -> . % 299.97/300.40 58732[16:Rew:54986.0,51436.0] || equal(ordered_pair(f10(u,complement(ordered_pair(universal_set,v))),ordered_pair(f11(u,complement(ordered_pair(universal_set,v))),f9(u,complement(ordered_pair(universal_set,v))))),a)** member(u,rotate_right(complement(ordered_pair(universal_set,v)))) -> . % 299.97/300.40 58733[16:Rew:54986.0,51609.2] ordered_pair_predicate(powerset(u)) || member(ordered_pair(second(powerset(u)),first(powerset(u))),apply(v,w)) -> member(a,sigma(converse(second(f28(ordered_pair(second(powerset(u)),first(powerset(u))),v,w)))))*. % 299.97/300.40 58734[16:Rew:54986.0,51612.1] || member(ordered_pair(second(ordered_pair(universal_set,u)),first(ordered_pair(universal_set,u))),apply(v,w)) -> member(a,sigma(converse(second(f28(ordered_pair(second(ordered_pair(universal_set,u)),first(ordered_pair(universal_set,u))),v,w)))))*. % 299.97/300.40 58735[16:Rew:54986.0,51627.0] || -> member(a,sigma(complement(image(non_ordered_pair(u,v),w)))) equal(first(f22(ordered_pair(universal_set,x),non_ordered_pair(u,v),w)),v)** equal(first(f22(ordered_pair(universal_set,x),non_ordered_pair(u,v),w)),u)**. % 299.97/300.40 58736[16:Rew:54986.0,51660.4] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x)* -> equal(ordered_pair(w,ordered_pair(v,u)),a) ordered_pair_predicate(f26(ordered_pair(w,ordered_pair(v,u))))*. % 299.97/300.40 58737[16:Rew:54986.0,51659.4] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* -> equal(ordered_pair(w,ordered_pair(v,u)),a) ordered_pair_predicate(f26(ordered_pair(w,ordered_pair(v,u))))*. % 299.97/300.40 64271[0:Res:4628.1,1444.0] || member(u,flip_range_of(cross_product(v,singleton_set(w)))) -> equal(second(ordered_pair(f12(u,cross_product(v,singleton_set(w))),ordered_pair(f14(u,cross_product(v,singleton_set(w))),f13(u,cross_product(v,singleton_set(w)))))),w)**. % 299.97/300.40 64270[0:Res:4628.1,76.0] || member(u,flip_range_of(cross_product(v,powerset(w)))) -> subset(second(ordered_pair(f12(u,cross_product(v,powerset(w))),ordered_pair(f14(u,cross_product(v,powerset(w))),f13(u,cross_product(v,powerset(w)))))),w)*. % 299.97/300.40 64250[0:Res:4628.1,70.0] || member(u,flip_range_of(cross_product(v,w))) subset(w,x) -> member(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),x)*. % 299.97/300.40 64378[0:Res:4627.1,1444.0] || member(u,flip_range_of(cross_product(singleton_set(v),w))) -> equal(first(ordered_pair(f12(u,cross_product(singleton_set(v),w)),ordered_pair(f14(u,cross_product(singleton_set(v),w)),f13(u,cross_product(singleton_set(v),w))))),v)**. % 299.97/300.40 64377[0:Res:4627.1,76.0] || member(u,flip_range_of(cross_product(powerset(v),w))) -> subset(first(ordered_pair(f12(u,cross_product(powerset(v),w)),ordered_pair(f14(u,cross_product(powerset(v),w)),f13(u,cross_product(powerset(v),w))))),v)*. % 299.97/300.40 64357[0:Res:4627.1,70.0] || member(u,flip_range_of(cross_product(v,w))) subset(v,x) -> member(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),x)*. % 299.97/300.40 64527[0:Res:4776.1,1444.0] || member(u,rotate_right(cross_product(v,singleton_set(w)))) -> equal(second(ordered_pair(f10(u,cross_product(v,singleton_set(w))),ordered_pair(f11(u,cross_product(v,singleton_set(w))),f9(u,cross_product(v,singleton_set(w)))))),w)**. % 299.97/300.40 64526[0:Res:4776.1,76.0] || member(u,rotate_right(cross_product(v,powerset(w)))) -> subset(second(ordered_pair(f10(u,cross_product(v,powerset(w))),ordered_pair(f11(u,cross_product(v,powerset(w))),f9(u,cross_product(v,powerset(w)))))),w)*. % 299.97/300.40 64506[0:Res:4776.1,70.0] || member(u,rotate_right(cross_product(v,w))) subset(w,x) -> member(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),x)*. % 299.97/300.40 64637[0:Res:4775.1,1444.0] || member(u,rotate_right(cross_product(singleton_set(v),w))) -> equal(first(ordered_pair(f10(u,cross_product(singleton_set(v),w)),ordered_pair(f11(u,cross_product(singleton_set(v),w)),f9(u,cross_product(singleton_set(v),w))))),v)**. % 299.97/300.40 64636[0:Res:4775.1,76.0] || member(u,rotate_right(cross_product(powerset(v),w))) -> subset(first(ordered_pair(f10(u,cross_product(powerset(v),w)),ordered_pair(f11(u,cross_product(powerset(v),w)),f9(u,cross_product(powerset(v),w))))),v)*. % 299.97/300.40 64616[0:Res:4775.1,70.0] || member(u,rotate_right(cross_product(v,w))) subset(v,x) -> member(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),x)*. % 299.97/300.40 65365[0:SSi:65342.0,371.0] little_set(u) single_valued_set(singleton_set(v)) || equal(ordered_pair(f31(w,x,singleton_set(v)),u),v)** member(w,compose(x,singleton_set(v))) -> equal(u,f30(w,x,singleton_set(v))). % 299.97/300.40 65366[0:SSi:65341.0,371.0] little_set(u) single_valued_set(powerset(v)) || subset(ordered_pair(f31(w,x,powerset(v)),u),v)* member(w,compose(x,powerset(v))) -> equal(u,f30(w,x,powerset(v))). % 299.97/300.40 65582[0:SSi:65557.0,371.0] little_set(u) single_valued_set(singleton_set(v)) || equal(ordered_pair(f29(w,singleton_set(v),x),u),v)** member(w,compose(singleton_set(v),x)) -> equal(u,f31(w,singleton_set(v),x)). % 299.97/300.40 65583[0:SSi:65556.0,371.0] little_set(u) single_valued_set(powerset(v)) || subset(ordered_pair(f29(w,powerset(v),x),u),v)* member(w,compose(powerset(v),x)) -> equal(u,f31(w,powerset(v),x)). % 299.97/300.40 66301[0:Res:46.1,6077.3] little_set(second(u)) little_set(first(u)) little_set(v) || member(u,converse(w)) member(ordered_pair(v,second(u)),x) -> member(ordered_pair(v,first(u)),compose(x,w))*. % 299.97/300.40 66374[0:SSi:66297.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),singleton_set(x))* member(ordered_pair(w,u),y)* -> member(ordered_pair(w,v),compose(y,ordered_pair(x,z)))*. % 299.97/300.40 66581[16:Res:55527.1,6077.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,u),x) -> equal(singleton_set(ordered_pair(u,v)),a) member(ordered_pair(w,v),compose(x,singleton_set(ordered_pair(u,v))))*. % 299.97/300.40 66641[0:SSi:66609.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),x)* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(non_ordered_pair(y,x)))*. % 299.97/300.40 66642[0:SSi:66608.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),x)* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(non_ordered_pair(x,y)))*. % 299.97/300.40 66805[0:SSi:66769.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),x)* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(non_ordered_pair(y,x)))*. % 299.97/300.40 66806[0:SSi:66768.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),x)* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(non_ordered_pair(x,y)))*. % 299.97/300.40 66901[3:SpL:375.0,8204.3] little_set(f3(u)) little_set(v) || equal(v,u)* member(singleton_set(singleton_set(f3(u))),w)* member(ordered_pair(f2(u),f3(u)),x)* -> member(v,compose(x,w))*. % 299.97/300.40 66940[3:SSi:66904.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),x)* equal(v,w)* member(ordered_pair(f2(w),u),y)* -> member(v,compose(y,non_ordered_pair(z,x)))*. % 299.97/300.40 66941[3:SSi:66903.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),x)* equal(v,w)* member(ordered_pair(f2(w),u),y)* -> member(v,compose(y,non_ordered_pair(x,z)))*. % 299.97/300.40 67046[2:SoR:5209.0,16011.1] little_set(u) little_set(second(v)) single_valued_set(w) || member(v,converse(w)) member(ordered_pair(second(v),u),w)* equal(first(v),infinity) -> equal(u,first(v)). % 299.97/300.40 67117[16:Res:58833.1,5162.4] little_set(u) || equal(first(f27(v,w)),a) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(singleton_set(a),x))*. % 299.97/300.40 67219[0:SSi:67189.0,371.0,371.0] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(singleton_set(x)))*. % 299.97/300.40 67220[0:SSi:67188.0,371.0,371.0] little_set(u) || subset(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(powerset(x)))*. % 299.97/300.40 67223[0:MRR:67207.0,67207.1,67207.2,48.1,50.1,49.1] little_set(u) || member(ordered_pair(f10(v,w),ordered_pair(f9(v,w),f11(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(flip_range_of(x)))*. % 299.97/300.40 67224[0:MRR:67206.0,67206.1,67206.2,48.1,50.1,49.1] little_set(u) || member(ordered_pair(f11(v,w),ordered_pair(f9(v,w),f10(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(rotate_right(x)))*. % 299.97/300.40 67296[0:SSi:67276.0,371.0,371.0] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(singleton_set(x)))*. % 299.97/300.40 67297[0:SSi:67275.0,371.0,371.0] little_set(u) || subset(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(powerset(x)))*. % 299.97/300.40 67300[0:MRR:67290.0,67290.1,67290.2,54.1,56.1,55.1] little_set(u) || member(ordered_pair(f13(v,w),ordered_pair(f12(v,w),f14(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(flip_range_of(x)))*. % 299.97/300.40 67301[0:MRR:67289.0,67289.1,67289.2,54.1,56.1,55.1] little_set(u) || member(ordered_pair(f14(v,w),ordered_pair(f12(v,w),f13(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(rotate_right(x)))*. % 299.97/300.40 67361[0:SSi:67341.0,371.0,371.0] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(singleton_set(x)))*. % 299.97/300.40 67362[0:SSi:67340.0,371.0,371.0] little_set(u) || subset(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(powerset(x)))*. % 299.97/300.40 67367[0:MRR:67354.0,67354.1,67354.2,49.1,50.1,48.1] little_set(u) || member(ordered_pair(f11(v,w),ordered_pair(f10(v,w),f9(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(rotate_right(x)))*. % 299.97/300.40 67431[0:SSi:67401.0,371.0,371.0] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(singleton_set(x)))*. % 299.97/300.40 67432[0:SSi:67400.0,371.0,371.0] little_set(u) || subset(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(powerset(x)))*. % 299.97/300.40 67437[0:MRR:67418.0,67418.1,67418.2,55.1,56.1,54.1] little_set(u) || member(ordered_pair(f14(v,w),ordered_pair(f13(v,w),f12(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(rotate_right(x)))*. % 299.97/300.40 67553[16:Res:4108.2,58846.0] ordered_pair_predicate(successor(a)) || member(ordered_pair(second(successor(a)),first(successor(a))),apply(u,v)) -> member(a,sigma(converse(second(f28(ordered_pair(second(successor(a)),first(successor(a))),u,v)))))*. % 299.97/300.40 67604[0:SoR:5223.3,90.1] little_set(u) little_set(v) little_set(w) function(non_ordered_pair(x,y)) || equal(ordered_pair(w,u),y)* member(ordered_pair(w,v),non_ordered_pair(x,y))* -> equal(v,u)*. % 299.97/300.40 67627[0:SoR:5224.3,90.1] little_set(u) little_set(v) little_set(w) function(non_ordered_pair(x,y)) || equal(ordered_pair(w,u),x)* member(ordered_pair(w,v),non_ordered_pair(x,y))* -> equal(v,u)*. % 299.97/300.40 67779[16:Res:55532.1,6233.0] || member(first(f1(u,cross_product(v,universal_set))),v)* member(f1(u,cross_product(v,universal_set)),u)* -> equal(singleton_set(second(f1(u,cross_product(v,universal_set)))),a) equal(u,cross_product(v,universal_set)). % 299.97/300.40 67778[16:Res:56204.1,6233.0] || equal(second(f1(u,cross_product(v,universal_set))),a) member(first(f1(u,cross_product(v,universal_set))),v)* member(f1(u,cross_product(v,universal_set)),u)* -> equal(u,cross_product(v,universal_set)). % 299.97/300.40 67888[0:MRR:67843.0,131.1] single_valued_set(u) || member(v,compose(w,x)) member(v,u) member(singleton_set(singleton_set(f29(v,w,x))),u)* -> equal(f30(v,w,x),f29(v,w,x)). % 299.97/300.40 67973[16:Res:5266.4,58824.0] || closed(u,v) closed(powerset(a),w) maps(x,powerset(a),u) -> homomorphism(x,powerset(a),w,u,v) equal(f33(x,powerset(a),w,u,v),a)**. % 299.97/300.40 68060[16:Res:5311.4,58824.0] || closed(u,v) closed(powerset(a),w) maps(x,powerset(a),u) -> homomorphism(x,powerset(a),w,u,v) equal(f32(x,powerset(a),w,u,v),a)**. % 299.97/300.40 68119[2:Res:5257.5,20934.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(cross_product(f33(y,w,x,u,v),z)))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68222[2:Res:5302.5,20934.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(cross_product(f32(y,w,x,u,v),z)))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68416[0:MRR:68378.0,48.1] single_valued_set(u) || member(v,rotate_right(w)) member(v,u) member(singleton_set(singleton_set(f9(v,w))),u)* -> equal(ordered_pair(f10(v,w),f11(v,w)),f9(v,w))**. % 299.97/300.40 68671[0:MRR:68628.0,54.1] single_valued_set(u) || member(v,flip_range_of(w)) member(v,u) member(singleton_set(singleton_set(f12(v,w))),u)* -> equal(ordered_pair(f13(v,w),f14(v,w)),f12(v,w))**. % 299.97/300.40 68681[0:SSi:68680.0,371.0] single_valued_set(u) || subset(v,u)* member(w,flip_range_of(v)) member(w,u)* -> equal(ordered_pair(f14(w,v),f13(w,v)),ordered_pair(f13(w,v),f14(w,v)))**. % 299.97/300.40 71806[16:Res:56196.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),a)** equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(ordered_pair(universal_set,x)))*. % 299.97/300.40 71805[16:Res:56196.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),a)** equal(w,ordered_pair(v,u))* -> member(w,rotate_right(ordered_pair(universal_set,x)))*. % 299.97/300.40 71803[16:Res:56196.1,8204.3] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),a) equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(v,compose(x,ordered_pair(universal_set,y)))*. % 299.97/300.40 73978[0:MRR:73977.0,132.1] little_set(u) || member(v,compose(w,x)) equal(u,v)* member(singleton_set(singleton_set(f30(v,w,x))),y)* member(v,z)* -> member(u,compose(z,y))*. % 299.97/300.40 73983[0:MRR:73982.0,131.1] little_set(u) || member(v,compose(w,x)) equal(u,v)* member(v,y)* member(singleton_set(singleton_set(f29(v,w,x))),z)* -> member(u,compose(z,y))*. % 299.97/300.40 78715[16:Res:6051.4,56189.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x)* -> equal(ordered_pair(w,ordered_pair(v,u)),a) little_set(f26(ordered_pair(w,ordered_pair(v,u))))*. % 299.97/300.40 78714[16:Res:5356.4,56189.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x)* -> equal(ordered_pair(w,ordered_pair(v,u)),a) little_set(f26(ordered_pair(w,ordered_pair(v,u))))*. % 299.97/300.40 78699[16:Res:52.1,56189.0] || member(u,rotate_right(v)) -> equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),a) little_set(f26(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))))*. % 299.97/300.40 78697[16:Res:58.1,56189.0] || member(u,flip_range_of(v)) -> equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),a) little_set(f26(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))))*. % 299.97/300.40 82789[16:Res:82637.1,5233.4] little_set(u) single_valued_set(set_b) || equal(ordered_pair(f29(v,w,x),u),a)** member(v,compose(w,x)) member(v,set_b) -> equal(u,f30(v,w,x)). % 299.97/300.40 82758[16:Res:82637.1,6233.0] || equal(second(f1(u,cross_product(v,set_b))),a) member(first(f1(u,cross_product(v,set_b))),v)* member(f1(u,cross_product(v,set_b)),u)* -> equal(u,cross_product(v,set_b)). % 299.97/300.40 82942[3:Res:82638.1,5233.4] little_set(u) single_valued_set(set_a) || equal(ordered_pair(f29(v,w,x),u),a)** member(v,compose(w,x)) member(v,set_a) -> equal(u,f30(v,w,x)). % 299.97/300.40 82911[3:Res:82638.1,6233.0] || equal(second(f1(u,cross_product(v,set_a))),a) member(first(f1(u,cross_product(v,set_a))),v)* member(f1(u,cross_product(v,set_a)),u)* -> equal(u,cross_product(v,set_a)). % 299.97/300.40 83096[16:Res:82641.1,5233.4] little_set(u) single_valued_set(infinity) || equal(ordered_pair(f29(v,w,x),u),a)** member(v,compose(w,x)) member(v,infinity) -> equal(u,f30(v,w,x)). % 299.97/300.40 83065[16:Res:82641.1,6233.0] || equal(second(f1(u,cross_product(v,infinity))),a) member(first(f1(u,cross_product(v,infinity))),v)* member(f1(u,cross_product(v,infinity)),u)* -> equal(u,cross_product(v,infinity)). % 299.97/300.40 83353[3:Res:83265.1,6233.0] || equal(second(f1(u,cross_product(v,universal_set))),infinity) member(first(f1(u,cross_product(v,universal_set))),v)* member(f1(u,cross_product(v,universal_set)),u)* -> equal(u,cross_product(v,universal_set)). % 299.97/300.40 84025[16:Res:4279.1,83606.1] || member(u,compose(v,cross_product(w,f24(powerset(x))))) subset(second(ordered_pair(f31(u,v,cross_product(w,f24(powerset(x)))),f30(u,v,cross_product(w,f24(powerset(x)))))),x)* -> . % 299.97/300.40 84018[16:Res:4278.1,83606.1] || member(u,compose(v,cross_product(f24(powerset(w)),x))) subset(first(ordered_pair(f31(u,v,cross_product(f24(powerset(w)),x)),f30(u,v,cross_product(f24(powerset(w)),x)))),w)* -> . % 299.97/300.40 84008[16:Res:4353.1,83606.1] || member(u,compose(cross_product(f24(powerset(v)),w),x)) subset(first(ordered_pair(f29(u,cross_product(f24(powerset(v)),w),x),f31(u,cross_product(f24(powerset(v)),w),x))),v)* -> . % 299.97/300.40 83946[16:Res:4354.1,83606.1] || member(u,compose(cross_product(v,f24(powerset(w))),x)) subset(second(ordered_pair(f29(u,cross_product(v,f24(powerset(w))),x),f31(u,cross_product(v,f24(powerset(w))),x))),w)* -> . % 299.97/300.40 84215[2:Res:4279.1,25433.0] || member(u,compose(v,cross_product(w,image(x,y)))) subset(x,second(ordered_pair(f31(u,v,cross_product(w,image(x,y))),f30(u,v,cross_product(w,image(x,y))))))* -> . % 299.97/300.40 84208[2:Res:4278.1,25433.0] || member(u,compose(v,cross_product(image(w,x),y))) subset(w,first(ordered_pair(f31(u,v,cross_product(image(w,x),y)),f30(u,v,cross_product(image(w,x),y)))))* -> . % 299.97/300.40 84198[2:Res:4353.1,25433.0] || member(u,compose(cross_product(image(v,w),x),y)) subset(v,first(ordered_pair(f29(u,cross_product(image(v,w),x),y),f31(u,cross_product(image(v,w),x),y))))* -> . % 299.97/300.40 84136[2:Res:4354.1,25433.0] || member(u,compose(cross_product(v,image(w,x)),y)) subset(w,second(ordered_pair(f29(u,cross_product(v,image(w,x)),y),f31(u,cross_product(v,image(w,x)),y))))* -> . % 299.97/300.40 87008[16:Res:82653.1,5162.4] little_set(u) || equal(first(f27(v,w)),powerset(a)) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(universal_set,x))*. % 299.97/300.40 87194[16:Res:82654.1,5162.4] little_set(u) || equal(first(f27(v,w)),singleton_set(a)) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(universal_set,x))*. % 299.97/300.40 87381[7:Res:82656.1,5162.4] little_set(u) || equal(first(f27(v,w)),sigma(infinity)) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(universal_set,x))*. % 299.97/300.40 87723[16:Res:82665.1,5162.4] little_set(u) || equal(first(f27(v,w)),a) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(sigma(infinity),x))*. % 299.97/300.40 87705[16:Res:82665.1,6057.3] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(sigma(infinity)))*. % 299.97/300.40 87704[16:Res:82665.1,5362.3] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(sigma(infinity)))*. % 299.97/300.40 87703[16:Res:82665.1,6056.3] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(sigma(infinity)))*. % 299.97/300.40 87702[16:Res:82665.1,5361.3] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(sigma(infinity)))*. % 299.97/300.40 87664[16:Res:82665.1,5228.3] little_set(u) single_valued_set(sigma(infinity)) || equal(ordered_pair(f29(v,sigma(infinity),w),u),a)** member(v,compose(sigma(infinity),w)) -> equal(u,f31(v,sigma(infinity),w)). % 299.97/300.40 87663[16:Res:82665.1,5227.3] little_set(u) single_valued_set(sigma(infinity)) || equal(ordered_pair(f31(v,w,sigma(infinity)),u),a)** member(v,compose(w,sigma(infinity))) -> equal(u,f30(v,w,sigma(infinity))). % 299.97/300.40 87877[16:Res:82681.1,5162.4] little_set(u) || equal(first(f27(v,w)),a) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(successor(a),x))*. % 299.97/300.40 87859[16:Res:82681.1,6057.3] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(successor(a)))*. % 299.97/300.40 87858[16:Res:82681.1,5362.3] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(successor(a)))*. % 299.97/300.40 87857[16:Res:82681.1,6056.3] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(successor(a)))*. % 299.97/300.40 87856[16:Res:82681.1,5361.3] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(successor(a)))*. % 299.97/300.40 87818[16:Res:82681.1,5228.3] little_set(u) single_valued_set(successor(a)) || equal(ordered_pair(f29(v,successor(a),w),u),a)** member(v,compose(successor(a),w)) -> equal(u,f31(v,successor(a),w)). % 299.97/300.40 87817[16:Res:82681.1,5227.3] little_set(u) single_valued_set(successor(a)) || equal(ordered_pair(f31(v,w,successor(a)),u),a)** member(v,compose(w,successor(a))) -> equal(u,f30(v,w,successor(a))). % 299.97/300.40 87942[16:Rew:87905.1,71759.1] || equal(f1(u,intersection(v,ordered_pair(universal_set,w))),a) member(a,v) member(f1(u,intersection(v,ordered_pair(universal_set,w))),u)* -> equal(u,intersection(v,ordered_pair(universal_set,w))). % 299.97/300.40 88154[3:Res:82671.1,6077.3] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),infinity) member(ordered_pair(w,u),x) -> member(ordered_pair(w,v),compose(x,singleton_set(ordered_pair(u,v))))*. % 299.97/300.40 88152[3:Res:82671.1,4346.1] || equal(ordered_pair(f29(u,v,w),f31(u,v,w)),infinity) member(u,compose(v,w)) disjoint(singleton_set(ordered_pair(f29(u,v,w),f31(u,v,w))),v)* -> . % 299.97/300.40 88151[3:Res:82671.1,4271.1] || equal(ordered_pair(f31(u,v,w),f30(u,v,w)),infinity) member(u,compose(v,w)) disjoint(singleton_set(ordered_pair(f31(u,v,w),f30(u,v,w))),w)* -> . % 299.97/300.40 89301[0:Res:4286.1,14370.1] || member(u,compose(v,intersection(w,converse(complement(x))))) member(ordered_pair(f31(u,v,intersection(w,converse(complement(x)))),f30(u,v,intersection(w,converse(complement(x))))),converse(x))* -> . % 299.97/300.40 89266[0:Res:4361.1,14370.1] || member(u,compose(intersection(v,converse(complement(w))),x)) member(ordered_pair(f29(u,intersection(v,converse(complement(w))),x),f31(u,intersection(v,converse(complement(w))),x)),converse(w))* -> . % 299.97/300.40 89259[0:Res:4285.1,14370.1] || member(u,compose(v,intersection(converse(complement(w)),x))) member(ordered_pair(f31(u,v,intersection(converse(complement(w)),x)),f30(u,v,intersection(converse(complement(w)),x))),converse(w))* -> . % 299.97/300.40 89249[0:Res:4360.1,14370.1] || member(u,compose(intersection(converse(complement(v)),w),x)) member(ordered_pair(f29(u,intersection(converse(complement(v)),w),x),f31(u,intersection(converse(complement(v)),w),x)),converse(v))* -> . % 299.97/300.40 89486[0:Res:52.1,43745.1] || member(u,rotate_right(flip_range_of(complement(flip_range_of(v))))) member(ordered_pair(f10(u,flip_range_of(complement(flip_range_of(v)))),ordered_pair(f11(u,flip_range_of(complement(flip_range_of(v)))),f9(u,flip_range_of(complement(flip_range_of(v)))))),v)* -> . % 299.97/300.40 89484[0:Res:58.1,43745.1] || member(u,flip_range_of(flip_range_of(complement(flip_range_of(v))))) member(ordered_pair(f12(u,flip_range_of(complement(flip_range_of(v)))),ordered_pair(f14(u,flip_range_of(complement(flip_range_of(v)))),f13(u,flip_range_of(complement(flip_range_of(v)))))),v)* -> . % 299.97/300.40 91534[3:Rew:90184.0,90087.3,90184.0,90087.2,90184.0,90087.1] little_set(second(f1(u,cross_product(v,sigma(universal_set))))) || member(first(f1(u,cross_product(v,universal_set))),v)* member(f1(u,cross_product(v,universal_set)),u)* -> equal(u,cross_product(v,universal_set)). % 299.97/300.40 92662[0:Res:52.1,19261.0] || member(u,rotate_right(sigma(intersection(v,w)))) -> member(ordered_pair(f10(u,sigma(intersection(v,w))),ordered_pair(f11(u,sigma(intersection(v,w))),f9(u,sigma(intersection(v,w))))),sigma(v))*. % 299.97/300.40 92660[0:Res:58.1,19261.0] || member(u,flip_range_of(sigma(intersection(v,w)))) -> member(ordered_pair(f12(u,sigma(intersection(v,w))),ordered_pair(f14(u,sigma(intersection(v,w))),f13(u,sigma(intersection(v,w))))),sigma(v))*. % 299.97/300.40 92864[0:Res:52.1,19263.0] || member(u,rotate_right(sigma(intersection(v,w)))) -> member(ordered_pair(f10(u,sigma(intersection(v,w))),ordered_pair(f11(u,sigma(intersection(v,w))),f9(u,sigma(intersection(v,w))))),sigma(w))*. % 299.97/300.40 92862[0:Res:58.1,19263.0] || member(u,flip_range_of(sigma(intersection(v,w)))) -> member(ordered_pair(f12(u,sigma(intersection(v,w))),ordered_pair(f14(u,sigma(intersection(v,w))),f13(u,sigma(intersection(v,w))))),sigma(w))*. % 299.97/300.40 96192[0:MRR:96154.0,96154.1,85.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(f19(singleton_set(w)),ordered_pair(f21(singleton_set(w)),u)),x)* -> single_valued_set(singleton_set(w)) member(v,rotate_right(x))*. % 299.97/300.40 96193[0:MRR:96153.0,96153.1,85.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(u,ordered_pair(f21(singleton_set(w)),f19(singleton_set(w)))),x)* -> single_valued_set(singleton_set(w)) member(v,flip_range_of(x))*. % 299.97/300.40 96835[0:MRR:96800.0,96800.1,84.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(f19(singleton_set(w)),ordered_pair(f20(singleton_set(w)),u)),x)* -> single_valued_set(singleton_set(w)) member(v,rotate_right(x))*. % 299.97/300.40 96836[0:MRR:96799.0,96799.1,84.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(u,ordered_pair(f20(singleton_set(w)),f19(singleton_set(w)))),x)* -> single_valued_set(singleton_set(w)) member(v,flip_range_of(x))*. % 299.97/300.40 97023[0:Res:21407.1,1562.1] ordered_pair_predicate(second(f28(u,v,w))) || member(u,apply(v,w)) -> member(u,sigma(converse(powerset(ordered_pair(second(second(f28(u,v,w))),first(second(f28(u,v,w))))))))*. % 299.97/300.40 97115[3:SSi:96997.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v) -> member(u,converse(intersection(v,converse(powerset(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))))))))*. % 299.97/300.40 97116[3:SSi:97030.0,5742.0,371.1] || member(u,apply(v,w)) -> member(f28(u,v,w),converse(converse(powerset(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w)))))))*. % 299.97/300.40 97118[3:SSi:97027.0,5742.0,371.1] || member(u,image(v,w)) -> member(f22(u,v,w),converse(converse(powerset(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w)))))))))*. % 299.97/300.40 98370[0:Res:8090.0,3811.0] || -> subset(complement(complement(u)),v) equal(w,f17(complement(complement(u)),v)) member(f1(w,f17(complement(complement(u)),v)),w)* member(f1(w,f17(complement(complement(u)),v)),sigma(u))*. % 299.97/300.40 98369[0:Res:8090.0,3829.0] || -> subset(complement(complement(u)),v) equal(f17(complement(complement(u)),v),w) member(f1(f17(complement(complement(u)),v),w),w)* member(f1(f17(complement(complement(u)),v),w),sigma(u))*. % 299.97/300.40 98486[0:Res:9082.0,3811.0] || -> disjoint(u,complement(complement(v))) equal(w,f23(u,complement(complement(v)))) member(f1(w,f23(u,complement(complement(v)))),w)* member(f1(w,f23(u,complement(complement(v)))),sigma(v))*. % 299.97/300.40 98485[0:Res:9082.0,3829.0] || -> disjoint(u,complement(complement(v))) equal(f23(u,complement(complement(v))),w) member(f1(f23(u,complement(complement(v))),w),w)* member(f1(f23(u,complement(complement(v))),w),sigma(v))*. % 299.97/300.40 98676[0:Res:9151.0,3811.0] || -> disjoint(complement(complement(u)),v) equal(w,f23(complement(complement(u)),v)) member(f1(w,f23(complement(complement(u)),v)),w)* member(f1(w,f23(complement(complement(u)),v)),sigma(u))*. % 299.97/300.40 98675[0:Res:9151.0,3829.0] || -> disjoint(complement(complement(u)),v) equal(f23(complement(complement(u)),v),w) member(f1(f23(complement(complement(u)),v),w),w)* member(f1(f23(complement(complement(u)),v),w),sigma(u))*. % 299.97/300.40 99499[0:SSi:99373.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(converse(complement(x))) || member(ordered_pair(w,v),converse(complement(x)))* -> member(ordered_pair(w,u),converse(x))* equal(v,u)*. % 299.97/300.40 99503[3:SSi:99394.0,5742.0,371.1] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(ordered_pair(u,f3(w)),converse(y))* member(v,compose(x,converse(complement(y))))*. % 299.97/300.40 99508[0:SSi:99397.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(ordered_pair(v,ordered_pair(f3(u),f2(u))),converse(x))* member(w,flip_range_of(converse(complement(x))))*. % 299.97/300.40 99509[0:SSi:99396.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(ordered_pair(f2(u),ordered_pair(f3(u),v)),converse(x))* member(w,rotate_right(converse(complement(x))))*. % 299.97/300.40 99540[3:SSi:99354.0,5742.0,371.0,371.1] || member(u,rotate_right(complement(converse(complement(v))))) -> member(ordered_pair(f10(u,complement(converse(complement(v)))),ordered_pair(f11(u,complement(converse(complement(v)))),f9(u,complement(converse(complement(v)))))),converse(v))*. % 299.97/300.40 99541[3:SSi:99353.0,5742.0,371.0,371.1] || member(u,flip_range_of(complement(converse(complement(v))))) -> member(ordered_pair(f12(u,complement(converse(complement(v)))),ordered_pair(f14(u,complement(converse(complement(v)))),f13(u,complement(converse(complement(v)))))),converse(v))*. % 299.97/300.40 99666[0:Res:22366.2,4781.1] ordered_pair_predicate(u) || member(ordered_pair(f10(v,complement(first(u))),ordered_pair(f11(v,complement(first(u))),f9(v,complement(first(u))))),f2(u))* member(v,rotate_right(complement(first(u)))) -> . % 299.97/300.40 99665[0:Res:22366.2,4633.1] ordered_pair_predicate(u) || member(ordered_pair(f12(v,complement(first(u))),ordered_pair(f14(v,complement(first(u))),f13(v,complement(first(u))))),f2(u))* member(v,flip_range_of(complement(first(u)))) -> . % 299.97/300.40 99860[0:Res:22612.2,4781.1] ordered_pair_predicate(u) || member(ordered_pair(f10(v,complement(second(u))),ordered_pair(f11(v,complement(second(u))),f9(v,complement(second(u))))),f3(u))* member(v,rotate_right(complement(second(u)))) -> . % 299.97/300.40 99859[0:Res:22612.2,4633.1] ordered_pair_predicate(u) || member(ordered_pair(f12(v,complement(second(u))),ordered_pair(f14(v,complement(second(u))),f13(v,complement(second(u))))),f3(u))* member(v,flip_range_of(complement(second(u)))) -> . % 299.97/300.40 100063[16:Res:59019.2,6212.0] || subset(u,converse(second(v)))* member(v,w)* equal(first(v),x)* -> equal(u,a) member(ordered_pair(second(f1(u,a)),first(f1(u,a))),apply(w,x))*. % 299.97/300.40 100062[16:Res:59019.2,1442.0] || subset(u,apply(non_ordered_pair(v,w),x)) -> equal(u,a) equal(f28(f1(u,a),non_ordered_pair(v,w),x),w)** equal(f28(f1(u,a),non_ordered_pair(v,w),x),v)**. % 299.97/300.40 100033[16:Res:59019.2,1443.0] || subset(u,image(v,non_ordered_pair(w,x))) -> equal(u,a) equal(f22(f1(u,a),v,non_ordered_pair(w,x)),x)** equal(f22(f1(u,a),v,non_ordered_pair(w,x)),w)**. % 299.97/300.40 100681[16:Res:59021.2,6212.0] || subset(u,converse(second(v)))* member(v,w)* equal(first(v),x)* -> equal(a,u) member(ordered_pair(second(f1(a,u)),first(f1(a,u))),apply(w,x))*. % 299.97/300.40 100680[16:Res:59021.2,1442.0] || subset(u,apply(non_ordered_pair(v,w),x)) -> equal(a,u) equal(f28(f1(a,u),non_ordered_pair(v,w),x),w)** equal(f28(f1(a,u),non_ordered_pair(v,w),x),v)**. % 299.97/300.40 100646[16:Res:59021.2,1443.0] || subset(u,image(v,non_ordered_pair(w,x))) -> equal(a,u) equal(f22(f1(a,u),v,non_ordered_pair(w,x)),x)** equal(f22(f1(a,u),v,non_ordered_pair(w,x)),w)**. % 299.97/300.40 100749[16:Res:59048.1,3811.0] || -> equal(intersection(u,v),a) equal(w,f1(intersection(u,v),a)) member(f1(w,f1(intersection(u,v),a)),w)* member(f1(w,f1(intersection(u,v),a)),sigma(u))*. % 299.97/300.40 100748[16:Res:59048.1,3829.0] || -> equal(intersection(u,v),a) equal(f1(intersection(u,v),a),w) member(f1(f1(intersection(u,v),a),w),w)* member(f1(f1(intersection(u,v),a),w),sigma(u))*. % 299.97/300.40 100866[16:Res:59049.1,3811.0] || -> equal(intersection(u,v),a) equal(w,f1(intersection(u,v),a)) member(f1(w,f1(intersection(u,v),a)),w)* member(f1(w,f1(intersection(u,v),a)),sigma(v))*. % 299.97/300.40 100865[16:Res:59049.1,3829.0] || -> equal(intersection(u,v),a) equal(f1(intersection(u,v),a),w) member(f1(f1(intersection(u,v),a),w),w)* member(f1(f1(intersection(u,v),a),w),sigma(v))*. % 299.97/300.40 100967[16:Res:59050.1,3811.0] || -> equal(intersection(u,v),a) equal(w,f1(a,intersection(u,v))) member(f1(w,f1(a,intersection(u,v))),w)* member(f1(w,f1(a,intersection(u,v))),sigma(u))*. % 299.97/300.40 100966[16:Res:59050.1,3829.0] || -> equal(intersection(u,v),a) equal(f1(a,intersection(u,v)),w) member(f1(f1(a,intersection(u,v)),w),w)* member(f1(f1(a,intersection(u,v)),w),sigma(u))*. % 299.97/300.40 101106[16:Res:59051.1,3811.0] || -> equal(intersection(u,v),a) equal(w,f1(a,intersection(u,v))) member(f1(w,f1(a,intersection(u,v))),w)* member(f1(w,f1(a,intersection(u,v))),sigma(v))*. % 299.97/300.40 101105[16:Res:59051.1,3829.0] || -> equal(intersection(u,v),a) equal(f1(a,intersection(u,v)),w) member(f1(f1(a,intersection(u,v)),w),w)* member(f1(f1(a,intersection(u,v)),w),sigma(v))*. % 299.97/300.40 101300[16:Res:59052.1,3811.0] || -> equal(restrict(u,v),a) equal(w,f1(restrict(u,v),a)) member(f1(w,f1(restrict(u,v),a)),w)* member(f1(w,f1(restrict(u,v),a)),sigma(u))*. % 299.97/300.40 101299[16:Res:59052.1,3829.0] || -> equal(restrict(u,v),a) equal(f1(restrict(u,v),a),w) member(f1(f1(restrict(u,v),a),w),w)* member(f1(f1(restrict(u,v),a),w),sigma(u))*. % 299.97/300.40 101560[16:Res:59053.1,3811.0] || -> equal(restrict(u,v),a) equal(w,f1(a,restrict(u,v))) member(f1(w,f1(a,restrict(u,v))),w)* member(f1(w,f1(a,restrict(u,v))),sigma(u))*. % 299.97/300.40 101559[16:Res:59053.1,3829.0] || -> equal(restrict(u,v),a) equal(f1(a,restrict(u,v)),w) member(f1(f1(a,restrict(u,v)),w),w)* member(f1(f1(a,restrict(u,v)),w),sigma(u))*. % 299.97/300.40 103663[0:Res:554.1,16184.0] || -> single_valued_set(cross_product(domain_of(intersection(cross_product(u,v),w)),x)) member(first(ordered_pair(f19(cross_product(domain_of(intersection(cross_product(u,v),w)),x)),f20(cross_product(domain_of(intersection(cross_product(u,v),w)),x)))),u)*. % 299.97/300.40 103662[0:Res:553.1,16184.0] || -> single_valued_set(cross_product(domain_of(intersection(cross_product(u,v),w)),x)) member(first(ordered_pair(f19(cross_product(domain_of(intersection(cross_product(u,v),w)),x)),f21(cross_product(domain_of(intersection(cross_product(u,v),w)),x)))),u)*. % 299.97/300.40 103597[0:Res:541.1,16184.0] || -> single_valued_set(cross_product(u,domain_of(intersection(cross_product(v,w),x)))) member(second(ordered_pair(f19(cross_product(u,domain_of(intersection(cross_product(v,w),x)))),f20(cross_product(u,domain_of(intersection(cross_product(v,w),x)))))),v)*. % 299.97/300.40 103596[0:Res:540.1,16184.0] || -> single_valued_set(cross_product(u,domain_of(intersection(cross_product(v,w),x)))) member(second(ordered_pair(f19(cross_product(u,domain_of(intersection(cross_product(v,w),x)))),f21(cross_product(u,domain_of(intersection(cross_product(v,w),x)))))),v)*. % 299.97/300.40 103586[0:Res:3839.1,16184.0] || -> equal(powerset(u),domain_of(intersection(cross_product(v,w),x))) subset(f1(powerset(u),domain_of(intersection(cross_product(v,w),x))),u)* member(f1(powerset(u),domain_of(intersection(cross_product(v,w),x))),v)*. % 299.97/300.40 103533[0:Res:3821.1,16184.0] || -> equal(domain_of(intersection(cross_product(u,v),w)),powerset(x)) subset(f1(domain_of(intersection(cross_product(u,v),w)),powerset(x)),x)* member(f1(domain_of(intersection(cross_product(u,v),w)),powerset(x)),u)*. % 299.97/300.40 103905[0:Res:554.1,16416.0] || -> single_valued_set(cross_product(domain_of(intersection(u,cross_product(v,w))),x)) member(first(ordered_pair(f19(cross_product(domain_of(intersection(u,cross_product(v,w))),x)),f20(cross_product(domain_of(intersection(u,cross_product(v,w))),x)))),v)*. % 299.97/300.40 103904[0:Res:553.1,16416.0] || -> single_valued_set(cross_product(domain_of(intersection(u,cross_product(v,w))),x)) member(first(ordered_pair(f19(cross_product(domain_of(intersection(u,cross_product(v,w))),x)),f21(cross_product(domain_of(intersection(u,cross_product(v,w))),x)))),v)*. % 299.97/300.40 103839[0:Res:541.1,16416.0] || -> single_valued_set(cross_product(u,domain_of(intersection(v,cross_product(w,x))))) member(second(ordered_pair(f19(cross_product(u,domain_of(intersection(v,cross_product(w,x))))),f20(cross_product(u,domain_of(intersection(v,cross_product(w,x))))))),w)*. % 299.97/300.40 103838[0:Res:540.1,16416.0] || -> single_valued_set(cross_product(u,domain_of(intersection(v,cross_product(w,x))))) member(second(ordered_pair(f19(cross_product(u,domain_of(intersection(v,cross_product(w,x))))),f21(cross_product(u,domain_of(intersection(v,cross_product(w,x))))))),w)*. % 299.97/300.40 103828[0:Res:3839.1,16416.0] || -> equal(powerset(u),domain_of(intersection(v,cross_product(w,x)))) subset(f1(powerset(u),domain_of(intersection(v,cross_product(w,x)))),u)* member(f1(powerset(u),domain_of(intersection(v,cross_product(w,x)))),w)*. % 299.97/300.40 103775[0:Res:3821.1,16416.0] || -> equal(domain_of(intersection(u,cross_product(v,w))),powerset(x)) subset(f1(domain_of(intersection(u,cross_product(v,w))),powerset(x)),x)* member(f1(domain_of(intersection(u,cross_product(v,w))),powerset(x)),v)*. % 299.97/300.40 104150[0:Res:554.1,17439.0] || -> single_valued_set(cross_product(range_of(intersection(cross_product(u,v),w)),x)) member(first(ordered_pair(f19(cross_product(range_of(intersection(cross_product(u,v),w)),x)),f20(cross_product(range_of(intersection(cross_product(u,v),w)),x)))),v)*. % 299.97/300.40 104149[0:Res:553.1,17439.0] || -> single_valued_set(cross_product(range_of(intersection(cross_product(u,v),w)),x)) member(first(ordered_pair(f19(cross_product(range_of(intersection(cross_product(u,v),w)),x)),f21(cross_product(range_of(intersection(cross_product(u,v),w)),x)))),v)*. % 299.97/300.40 104084[0:Res:541.1,17439.0] || -> single_valued_set(cross_product(u,range_of(intersection(cross_product(v,w),x)))) member(second(ordered_pair(f19(cross_product(u,range_of(intersection(cross_product(v,w),x)))),f20(cross_product(u,range_of(intersection(cross_product(v,w),x)))))),w)*. % 299.97/300.40 104083[0:Res:540.1,17439.0] || -> single_valued_set(cross_product(u,range_of(intersection(cross_product(v,w),x)))) member(second(ordered_pair(f19(cross_product(u,range_of(intersection(cross_product(v,w),x)))),f21(cross_product(u,range_of(intersection(cross_product(v,w),x)))))),w)*. % 299.97/300.40 104073[0:Res:3839.1,17439.0] || -> equal(powerset(u),range_of(intersection(cross_product(v,w),x))) subset(f1(powerset(u),range_of(intersection(cross_product(v,w),x))),u)* member(f1(powerset(u),range_of(intersection(cross_product(v,w),x))),w)*. % 299.97/300.40 104020[0:Res:3821.1,17439.0] || -> equal(range_of(intersection(cross_product(u,v),w)),powerset(x)) subset(f1(range_of(intersection(cross_product(u,v),w)),powerset(x)),x)* member(f1(range_of(intersection(cross_product(u,v),w)),powerset(x)),v)*. % 299.97/300.40 104427[0:Res:554.1,17546.0] || -> single_valued_set(cross_product(range_of(intersection(u,cross_product(v,w))),x)) member(first(ordered_pair(f19(cross_product(range_of(intersection(u,cross_product(v,w))),x)),f20(cross_product(range_of(intersection(u,cross_product(v,w))),x)))),w)*. % 299.97/300.40 104426[0:Res:553.1,17546.0] || -> single_valued_set(cross_product(range_of(intersection(u,cross_product(v,w))),x)) member(first(ordered_pair(f19(cross_product(range_of(intersection(u,cross_product(v,w))),x)),f21(cross_product(range_of(intersection(u,cross_product(v,w))),x)))),w)*. % 299.97/300.40 104361[0:Res:541.1,17546.0] || -> single_valued_set(cross_product(u,range_of(intersection(v,cross_product(w,x))))) member(second(ordered_pair(f19(cross_product(u,range_of(intersection(v,cross_product(w,x))))),f20(cross_product(u,range_of(intersection(v,cross_product(w,x))))))),x)*. % 299.97/300.40 104360[0:Res:540.1,17546.0] || -> single_valued_set(cross_product(u,range_of(intersection(v,cross_product(w,x))))) member(second(ordered_pair(f19(cross_product(u,range_of(intersection(v,cross_product(w,x))))),f21(cross_product(u,range_of(intersection(v,cross_product(w,x))))))),x)*. % 299.97/300.40 104350[0:Res:3839.1,17546.0] || -> equal(powerset(u),range_of(intersection(v,cross_product(w,x)))) subset(f1(powerset(u),range_of(intersection(v,cross_product(w,x)))),u)* member(f1(powerset(u),range_of(intersection(v,cross_product(w,x)))),x)*. % 299.97/300.40 104297[0:Res:3821.1,17546.0] || -> equal(range_of(intersection(u,cross_product(v,w))),powerset(x)) subset(f1(range_of(intersection(u,cross_product(v,w))),powerset(x)),x)* member(f1(range_of(intersection(u,cross_product(v,w))),powerset(x)),w)*. % 299.97/300.40 104767[0:SSi:104646.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(union(x,y)) || member(ordered_pair(w,v),union(x,y))* -> member(ordered_pair(w,u),complement(x))* equal(v,u)*. % 299.97/300.40 104771[3:SSi:104667.0,371.0] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(ordered_pair(u,f3(w)),complement(y))* member(v,compose(x,union(y,z)))*. % 299.97/300.40 104776[0:SSi:104670.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(ordered_pair(v,ordered_pair(f3(u),f2(u))),complement(x))* member(w,flip_range_of(union(x,y)))*. % 299.97/300.40 104777[0:SSi:104669.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(ordered_pair(f2(u),ordered_pair(f3(u),v)),complement(x))* member(w,rotate_right(union(x,y)))*. % 299.97/300.40 104808[0:SSi:104627.0,371.0,371.0] || member(u,rotate_right(complement(union(v,w)))) -> member(ordered_pair(f10(u,complement(union(v,w))),ordered_pair(f11(u,complement(union(v,w))),f9(u,complement(union(v,w))))),complement(v))*. % 299.97/300.40 104809[0:SSi:104626.0,371.0,371.0] || member(u,flip_range_of(complement(union(v,w)))) -> member(ordered_pair(f12(u,complement(union(v,w))),ordered_pair(f14(u,complement(union(v,w))),f13(u,complement(union(v,w))))),complement(v))*. % 299.97/300.40 105113[0:SSi:104990.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(union(x,y)) || member(ordered_pair(w,v),union(x,y))* -> member(ordered_pair(w,u),complement(y))* equal(v,u)*. % 299.97/300.40 105117[3:SSi:105011.0,371.0] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(ordered_pair(u,f3(w)),complement(y))* member(v,compose(x,union(z,y)))*. % 299.97/300.40 105122[0:SSi:105014.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(ordered_pair(v,ordered_pair(f3(u),f2(u))),complement(x))* member(w,flip_range_of(union(y,x)))*. % 299.97/300.40 105123[0:SSi:105013.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(ordered_pair(f2(u),ordered_pair(f3(u),v)),complement(x))* member(w,rotate_right(union(y,x)))*. % 299.97/300.40 105154[0:SSi:104971.0,371.0,371.0] || member(u,rotate_right(complement(union(v,w)))) -> member(ordered_pair(f10(u,complement(union(v,w))),ordered_pair(f11(u,complement(union(v,w))),f9(u,complement(union(v,w))))),complement(w))*. % 299.97/300.40 105155[0:SSi:104970.0,371.0,371.0] || member(u,flip_range_of(complement(union(v,w)))) -> member(ordered_pair(f12(u,complement(union(v,w))),ordered_pair(f14(u,complement(union(v,w))),f13(u,complement(union(v,w))))),complement(w))*. % 299.97/300.40 6078[0:Obv:6071.1] little_set(u) little_set(v) little_set(w) || equal(w,singleton_set(singleton_set(v)))* member(ordered_pair(u,v),x)* member(ordered_pair(v,u),y)* -> member(w,compose(y,x))*. % 299.97/300.40 13222[0:SSi:13202.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(ordered_pair(x,y)) || equal(ordered_pair(w,u),singleton_set(x))* member(ordered_pair(w,v),ordered_pair(x,y))* -> equal(v,u)*. % 299.97/300.40 14808[0:Res:136.1,314.0] || member(u,compose(v,intersection(complement(w),complement(x)))) member(ordered_pair(f31(u,v,intersection(complement(w),complement(x))),f30(u,v,intersection(complement(w),complement(x)))),union(w,x))* -> . % 299.97/300.40 14803[0:Res:135.1,314.0] || member(u,compose(intersection(complement(v),complement(w)),x)) member(ordered_pair(f29(u,intersection(complement(v),complement(w)),x),f31(u,intersection(complement(v),complement(w)),x)),union(v,w))* -> . % 299.97/300.40 14847[0:Res:86.1,1020.0] || -> single_valued_set(converse(intersection(u,v))) member(ordered_pair(second(ordered_pair(f19(converse(intersection(u,v))),f20(converse(intersection(u,v))))),first(ordered_pair(f19(converse(intersection(u,v))),f20(converse(intersection(u,v)))))),u)*. % 299.97/300.40 14846[0:Res:87.1,1020.0] || -> single_valued_set(converse(intersection(u,v))) member(ordered_pair(second(ordered_pair(f19(converse(intersection(u,v))),f21(converse(intersection(u,v))))),first(ordered_pair(f19(converse(intersection(u,v))),f21(converse(intersection(u,v)))))),u)*. % 299.97/300.40 14953[0:Res:86.1,1021.0] || -> single_valued_set(converse(intersection(u,v))) member(ordered_pair(second(ordered_pair(f19(converse(intersection(u,v))),f20(converse(intersection(u,v))))),first(ordered_pair(f19(converse(intersection(u,v))),f20(converse(intersection(u,v)))))),v)*. % 299.97/300.40 14952[0:Res:87.1,1021.0] || -> single_valued_set(converse(intersection(u,v))) member(ordered_pair(second(ordered_pair(f19(converse(intersection(u,v))),f21(converse(intersection(u,v))))),first(ordered_pair(f19(converse(intersection(u,v))),f21(converse(intersection(u,v)))))),v)*. % 299.97/300.40 17960[0:Res:556.1,1014.0] || -> disjoint(u,cross_product(converse(cross_product(v,w)),x)) member(first(ordered_pair(second(first(f23(u,cross_product(converse(cross_product(v,w)),x)))),first(first(f23(u,cross_product(converse(cross_product(v,w)),x)))))),v)*. % 299.97/300.40 17959[0:Res:552.1,1014.0] || -> subset(cross_product(converse(cross_product(u,v)),w),x) member(first(ordered_pair(second(first(f17(cross_product(converse(cross_product(u,v)),w),x))),first(first(f17(cross_product(converse(cross_product(u,v)),w),x))))),u)*. % 299.97/300.40 17958[0:Res:551.1,1014.0] || -> disjoint(cross_product(converse(cross_product(u,v)),w),x) member(first(ordered_pair(second(first(f23(cross_product(converse(cross_product(u,v)),w),x))),first(first(f23(cross_product(converse(cross_product(u,v)),w),x))))),u)*. % 299.97/300.40 17947[0:Res:456.1,1014.0] || member(u,sigma(intersection(v,converse(cross_product(w,x))))) -> member(first(ordered_pair(second(f16(u,intersection(v,converse(cross_product(w,x))))),first(f16(u,intersection(v,converse(cross_product(w,x))))))),w)*. % 299.97/300.40 17939[0:Res:543.1,1014.0] || -> disjoint(u,cross_product(v,converse(cross_product(w,x)))) member(first(ordered_pair(second(second(f23(u,cross_product(v,converse(cross_product(w,x)))))),first(second(f23(u,cross_product(v,converse(cross_product(w,x)))))))),w)*. % 299.97/300.40 17934[0:Res:539.1,1014.0] || -> subset(cross_product(u,converse(cross_product(v,w))),x) member(first(ordered_pair(second(second(f17(cross_product(u,converse(cross_product(v,w))),x))),first(second(f17(cross_product(u,converse(cross_product(v,w))),x))))),v)*. % 299.97/300.40 17933[0:Res:538.1,1014.0] || -> disjoint(cross_product(u,converse(cross_product(v,w))),x) member(first(ordered_pair(second(second(f23(cross_product(u,converse(cross_product(v,w))),x))),first(second(f23(cross_product(u,converse(cross_product(v,w))),x))))),v)*. % 299.97/300.40 17931[0:Res:6.1,1014.0] || -> equal(u,converse(cross_product(v,w))) member(f1(u,converse(cross_product(v,w))),u) member(first(ordered_pair(second(f1(u,converse(cross_product(v,w)))),first(f1(u,converse(cross_product(v,w)))))),v)*. % 299.97/300.40 17927[0:Res:455.1,1014.0] || member(u,sigma(intersection(converse(cross_product(v,w)),x))) -> member(first(ordered_pair(second(f16(u,intersection(converse(cross_product(v,w)),x))),first(f16(u,intersection(converse(cross_product(v,w)),x))))),v)*. % 299.97/300.40 17908[0:Res:6.2,1014.0] || -> equal(converse(cross_product(u,v)),w) member(f1(converse(cross_product(u,v)),w),w) member(first(ordered_pair(second(f1(converse(cross_product(u,v)),w)),first(f1(converse(cross_product(u,v)),w)))),u)*. % 299.97/300.40 18084[0:Res:556.1,1015.0] || -> disjoint(u,cross_product(converse(cross_product(v,w)),x)) member(second(ordered_pair(second(first(f23(u,cross_product(converse(cross_product(v,w)),x)))),first(first(f23(u,cross_product(converse(cross_product(v,w)),x)))))),w)*. % 299.97/300.40 18083[0:Res:552.1,1015.0] || -> subset(cross_product(converse(cross_product(u,v)),w),x) member(second(ordered_pair(second(first(f17(cross_product(converse(cross_product(u,v)),w),x))),first(first(f17(cross_product(converse(cross_product(u,v)),w),x))))),v)*. % 299.97/300.40 18082[0:Res:551.1,1015.0] || -> disjoint(cross_product(converse(cross_product(u,v)),w),x) member(second(ordered_pair(second(first(f23(cross_product(converse(cross_product(u,v)),w),x))),first(first(f23(cross_product(converse(cross_product(u,v)),w),x))))),v)*. % 299.97/300.40 18071[0:Res:456.1,1015.0] || member(u,sigma(intersection(v,converse(cross_product(w,x))))) -> member(second(ordered_pair(second(f16(u,intersection(v,converse(cross_product(w,x))))),first(f16(u,intersection(v,converse(cross_product(w,x))))))),x)*. % 299.97/300.40 18063[0:Res:543.1,1015.0] || -> disjoint(u,cross_product(v,converse(cross_product(w,x)))) member(second(ordered_pair(second(second(f23(u,cross_product(v,converse(cross_product(w,x)))))),first(second(f23(u,cross_product(v,converse(cross_product(w,x)))))))),x)*. % 299.97/300.40 18058[0:Res:539.1,1015.0] || -> subset(cross_product(u,converse(cross_product(v,w))),x) member(second(ordered_pair(second(second(f17(cross_product(u,converse(cross_product(v,w))),x))),first(second(f17(cross_product(u,converse(cross_product(v,w))),x))))),w)*. % 299.97/300.40 18057[0:Res:538.1,1015.0] || -> disjoint(cross_product(u,converse(cross_product(v,w))),x) member(second(ordered_pair(second(second(f23(cross_product(u,converse(cross_product(v,w))),x))),first(second(f23(cross_product(u,converse(cross_product(v,w))),x))))),w)*. % 299.97/300.40 18055[0:Res:6.1,1015.0] || -> equal(u,converse(cross_product(v,w))) member(f1(u,converse(cross_product(v,w))),u) member(second(ordered_pair(second(f1(u,converse(cross_product(v,w)))),first(f1(u,converse(cross_product(v,w)))))),w)*. % 299.97/300.40 18051[0:Res:455.1,1015.0] || member(u,sigma(intersection(converse(cross_product(v,w)),x))) -> member(second(ordered_pair(second(f16(u,intersection(converse(cross_product(v,w)),x))),first(f16(u,intersection(converse(cross_product(v,w)),x))))),w)*. % 299.97/300.40 18032[0:Res:6.2,1015.0] || -> equal(converse(cross_product(u,v)),w) member(f1(converse(cross_product(u,v)),w),w) member(second(ordered_pair(second(f1(converse(cross_product(u,v)),w)),first(f1(converse(cross_product(u,v)),w)))),v)*. % 299.97/300.40 21261[0:Res:557.1,1421.0] || member(u,range_of(cross_product(ordered_pair(v,w),x))) -> equal(first(f27(u,cross_product(ordered_pair(v,w),x))),non_ordered_pair(v,w))** equal(first(f27(u,cross_product(ordered_pair(v,w),x))),singleton_set(v)). % 299.97/300.40 21260[0:Res:558.1,1421.0] || member(u,sigma(cross_product(ordered_pair(v,w),x))) -> equal(first(f16(u,cross_product(ordered_pair(v,w),x))),non_ordered_pair(v,w))** equal(first(f16(u,cross_product(ordered_pair(v,w),x))),singleton_set(v)). % 299.97/300.40 21231[0:Res:545.1,1421.0] || member(u,sigma(cross_product(v,ordered_pair(w,x)))) -> equal(second(f16(u,cross_product(v,ordered_pair(w,x)))),non_ordered_pair(w,x))** equal(second(f16(u,cross_product(v,ordered_pair(w,x)))),singleton_set(w)). % 299.97/300.40 21230[0:Res:546.1,1421.0] || member(u,domain_of(cross_product(v,ordered_pair(w,x)))) -> equal(second(f8(u,cross_product(v,ordered_pair(w,x)))),non_ordered_pair(w,x))** equal(second(f8(u,cross_product(v,ordered_pair(w,x)))),singleton_set(w)). % 299.97/300.40 24360[0:Res:557.1,1163.0] || member(u,range_of(cross_product(converse(v),w))) member(v,x) -> member(ordered_pair(second(first(f27(u,cross_product(converse(v),w)))),first(first(f27(u,cross_product(converse(v),w))))),sigma(x))*. % 299.97/300.40 24359[0:Res:558.1,1163.0] || member(u,sigma(cross_product(converse(v),w))) member(v,x) -> member(ordered_pair(second(first(f16(u,cross_product(converse(v),w)))),first(first(f16(u,cross_product(converse(v),w))))),sigma(x))*. % 299.97/300.40 24325[0:Res:545.1,1163.0] || member(u,sigma(cross_product(v,converse(w)))) member(w,x) -> member(ordered_pair(second(second(f16(u,cross_product(v,converse(w))))),first(second(f16(u,cross_product(v,converse(w)))))),sigma(x))*. % 299.97/300.40 24324[0:Res:546.1,1163.0] || member(u,domain_of(cross_product(v,converse(w)))) member(w,x) -> member(ordered_pair(second(second(f8(u,cross_product(v,converse(w))))),first(second(f8(u,cross_product(v,converse(w)))))),sigma(x))*. % 299.97/300.40 24313[0:Res:3839.1,1163.0] || member(u,v) -> equal(powerset(w),converse(u)) subset(f1(powerset(w),converse(u)),w) member(ordered_pair(second(f1(powerset(w),converse(u))),first(f1(powerset(w),converse(u)))),sigma(v))*. % 299.97/300.40 24288[0:Res:3821.1,1163.0] || member(u,v) -> equal(converse(u),powerset(w)) subset(f1(converse(u),powerset(w)),w) member(ordered_pair(second(f1(converse(u),powerset(w))),first(f1(converse(u),powerset(w)))),sigma(v))*. % 299.97/300.40 25100[0:Res:5054.3,3823.0] little_set(u) little_set(v) || member(f1(w,complement(second(ordered_pair(v,u)))),u)* -> equal(w,complement(second(ordered_pair(v,u)))) member(f1(w,complement(second(ordered_pair(v,u)))),w)*. % 299.97/300.40 25099[0:Res:5009.3,3823.0] little_set(u) little_set(v) || member(f1(w,complement(first(ordered_pair(v,u)))),v)* -> equal(w,complement(first(ordered_pair(v,u)))) member(f1(w,complement(first(ordered_pair(v,u)))),w)*. % 299.97/300.40 25093[0:Res:33.2,3823.0] || member(f1(u,complement(intersection(v,w))),w)* member(f1(u,complement(intersection(v,w))),v)* -> equal(u,complement(intersection(v,w))) member(f1(u,complement(intersection(v,w))),u)*. % 299.97/300.40 25167[0:Res:5054.3,3841.0] little_set(u) little_set(v) || member(f1(complement(second(ordered_pair(v,u))),w),u)* -> equal(complement(second(ordered_pair(v,u))),w) member(f1(complement(second(ordered_pair(v,u))),w),w)*. % 299.97/300.40 25166[0:Res:5009.3,3841.0] little_set(u) little_set(v) || member(f1(complement(first(ordered_pair(v,u))),w),v)* -> equal(complement(first(ordered_pair(v,u))),w) member(f1(complement(first(ordered_pair(v,u))),w),w)*. % 299.97/300.40 25159[0:Res:33.2,3841.0] || member(f1(complement(intersection(u,v)),w),v)* member(f1(complement(intersection(u,v)),w),u)* -> equal(complement(intersection(u,v)),w) member(f1(complement(intersection(u,v)),w),w)*. % 299.97/300.40 25244[0:Res:5054.3,4164.0] little_set(u) little_set(v) || member(f1(second(ordered_pair(v,u)),complement(w)),u)* -> member(f1(second(ordered_pair(v,u)),complement(w)),w)* equal(second(ordered_pair(v,u)),complement(w)). % 299.97/300.40 25243[0:Res:5009.3,4164.0] little_set(u) little_set(v) || member(f1(first(ordered_pair(v,u)),complement(w)),v)* -> member(f1(first(ordered_pair(v,u)),complement(w)),w)* equal(first(ordered_pair(v,u)),complement(w)). % 299.97/300.40 25236[0:Res:33.2,4164.0] || member(f1(intersection(u,v),complement(w)),v)* member(f1(intersection(u,v),complement(w)),u)* -> member(f1(intersection(u,v),complement(w)),w)* equal(intersection(u,v),complement(w)). % 299.97/300.40 25768[0:Res:1344.1,8.0] || member(u,image(v,cross_product(non_ordered_pair(w,x),y))) -> equal(first(f22(u,v,cross_product(non_ordered_pair(w,x),y))),x)** equal(first(f22(u,v,cross_product(non_ordered_pair(w,x),y))),w)**. % 299.97/300.40 25905[0:Res:1555.1,8.0] || member(u,image(intersection(non_ordered_pair(v,w),x),y)) -> equal(first(f22(u,intersection(non_ordered_pair(v,w),x),y)),w)** equal(first(f22(u,intersection(non_ordered_pair(v,w),x),y)),v)**. % 299.97/300.40 26062[0:Res:1556.1,8.0] || member(u,image(intersection(v,non_ordered_pair(w,x)),y)) -> equal(first(f22(u,intersection(v,non_ordered_pair(w,x)),y)),x)** equal(first(f22(u,intersection(v,non_ordered_pair(w,x)),y)),w)**. % 299.97/300.40 26132[0:Res:1280.1,8.0] || member(u,apply(cross_product(v,non_ordered_pair(w,x)),y)) -> equal(second(f28(u,cross_product(v,non_ordered_pair(w,x)),y)),x)** equal(second(f28(u,cross_product(v,non_ordered_pair(w,x)),y)),w)**. % 299.97/300.40 26369[0:Res:3821.2,3812.0] || -> equal(u,powerset(v)) member(f1(u,powerset(v)),u)* equal(w,f1(u,powerset(v))) member(f1(w,f1(u,powerset(v))),w)* member(f1(w,f1(u,powerset(v))),v)*. % 299.97/300.40 26367[0:Res:1278.1,3812.0] || member(u,apply(powerset(v),w)) -> equal(x,f28(u,powerset(v),w)) member(f1(x,f28(u,powerset(v),w)),x)* member(f1(x,f28(u,powerset(v),w)),v)*. % 299.97/300.40 26360[0:Res:1343.1,3812.0] || member(u,image(v,powerset(w))) -> equal(x,f22(u,v,powerset(w))) member(f1(x,f22(u,v,powerset(w))),x)* member(f1(x,f22(u,v,powerset(w))),w)*. % 299.97/300.40 26349[0:Res:3839.2,3812.0] || -> equal(powerset(u),v) member(f1(powerset(u),v),v)* equal(w,f1(powerset(u),v)) member(f1(w,f1(powerset(u),v)),w)* member(f1(w,f1(powerset(u),v)),u)*. % 299.97/300.40 26498[0:Res:3821.2,3830.0] || -> equal(u,powerset(v)) member(f1(u,powerset(v)),u)* equal(f1(u,powerset(v)),w) member(f1(f1(u,powerset(v)),w),w)* member(f1(f1(u,powerset(v)),w),v)*. % 299.97/300.40 26496[0:Res:1278.1,3830.0] || member(u,apply(powerset(v),w)) -> equal(f28(u,powerset(v),w),x) member(f1(f28(u,powerset(v),w),x),x)* member(f1(f28(u,powerset(v),w),x),v)*. % 299.97/300.40 26489[0:Res:1343.1,3830.0] || member(u,image(v,powerset(w))) -> equal(f22(u,v,powerset(w)),x) member(f1(f22(u,v,powerset(w)),x),x)* member(f1(f22(u,v,powerset(w)),x),w)*. % 299.97/300.40 26478[0:Res:3839.2,3830.0] || -> equal(powerset(u),v) member(f1(powerset(u),v),v)* equal(f1(powerset(u),v),w) member(f1(f1(powerset(u),v),w),w)* member(f1(f1(powerset(u),v),w),u)*. % 299.97/300.40 28556[0:Res:957.2,3811.0] || subset(u,v) -> single_valued_set(u) equal(w,ordered_pair(f19(u),f20(u))) member(f1(w,ordered_pair(f19(u),f20(u))),w)* member(f1(w,ordered_pair(f19(u),f20(u))),sigma(v))*. % 299.97/300.40 28555[0:Res:956.2,3811.0] || subset(u,v) -> single_valued_set(u) equal(w,ordered_pair(f19(u),f21(u))) member(f1(w,ordered_pair(f19(u),f21(u))),w)* member(f1(w,ordered_pair(f19(u),f21(u))),sigma(v))*. % 299.97/300.40 28502[0:Res:94.1,3811.0] || member(u,image(v,w)) -> equal(x,first(f22(u,v,w))) member(f1(x,first(f22(u,v,w))),x)* member(f1(x,first(f22(u,v,w))),sigma(v))*. % 299.97/300.40 28933[0:Res:957.2,3829.0] || subset(u,v) -> single_valued_set(u) equal(ordered_pair(f19(u),f20(u)),w) member(f1(ordered_pair(f19(u),f20(u)),w),w)* member(f1(ordered_pair(f19(u),f20(u)),w),sigma(v))*. % 299.97/300.40 28932[0:Res:956.2,3829.0] || subset(u,v) -> single_valued_set(u) equal(ordered_pair(f19(u),f21(u)),w) member(f1(ordered_pair(f19(u),f21(u)),w),w)* member(f1(ordered_pair(f19(u),f21(u)),w),sigma(v))*. % 299.97/300.40 28879[0:Res:94.1,3829.0] || member(u,image(v,w)) -> equal(first(f22(u,v,w)),x) member(f1(first(f22(u,v,w)),x),x)* member(f1(first(f22(u,v,w)),x),sigma(v))*. % 299.97/300.40 29845[0:Res:1549.1,5019.1] || member(u,image(cross_product(f4(v,w),x),y)) member(v,first(w)) equal(z,w) -> member(first(first(f22(u,cross_product(f4(v,w),x),y))),first(z))*. % 299.97/300.40 29840[0:Res:554.1,5019.1] || member(u,first(v)) equal(w,v) -> single_valued_set(cross_product(f4(u,v),x)) member(first(ordered_pair(f19(cross_product(f4(u,v),x)),f20(cross_product(f4(u,v),x)))),first(w))*. % 299.97/300.40 29839[0:Res:553.1,5019.1] || member(u,first(v)) equal(w,v) -> single_valued_set(cross_product(f4(u,v),x)) member(first(ordered_pair(f19(cross_product(f4(u,v),x)),f21(cross_product(f4(u,v),x)))),first(w))*. % 299.97/300.40 29808[0:Res:1550.1,5019.1] || member(u,image(cross_product(v,f4(w,x)),y)) member(w,first(x)) equal(z,x) -> member(second(first(f22(u,cross_product(v,f4(w,x)),y))),first(z))*. % 299.97/300.40 29799[0:Res:541.1,5019.1] || member(u,first(v)) equal(w,v) -> single_valued_set(cross_product(x,f4(u,v))) member(second(ordered_pair(f19(cross_product(x,f4(u,v))),f20(cross_product(x,f4(u,v))))),first(w))*. % 299.97/300.40 29798[0:Res:540.1,5019.1] || member(u,first(v)) equal(w,v) -> single_valued_set(cross_product(x,f4(u,v))) member(second(ordered_pair(f19(cross_product(x,f4(u,v))),f21(cross_product(x,f4(u,v))))),first(w))*. % 299.97/300.40 29794[0:Res:3839.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(powerset(x),f4(u,v)) subset(f1(powerset(x),f4(u,v)),x)* member(f1(powerset(x),f4(u,v)),first(w))*. % 299.97/300.40 29762[0:Res:3821.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),powerset(x)) subset(f1(f4(u,v),powerset(x)),x)* member(f1(f4(u,v),powerset(x)),first(w))*. % 299.97/300.40 30258[0:Res:1549.1,5020.1] || member(u,image(cross_product(f6(v,w),x),y)) member(v,second(w)) equal(z,w) -> member(first(first(f22(u,cross_product(f6(v,w),x),y))),first(z))*. % 299.97/300.40 30253[0:Res:554.1,5020.1] || member(u,second(v)) equal(w,v) -> single_valued_set(cross_product(f6(u,v),x)) member(first(ordered_pair(f19(cross_product(f6(u,v),x)),f20(cross_product(f6(u,v),x)))),first(w))*. % 299.97/300.40 30252[0:Res:553.1,5020.1] || member(u,second(v)) equal(w,v) -> single_valued_set(cross_product(f6(u,v),x)) member(first(ordered_pair(f19(cross_product(f6(u,v),x)),f21(cross_product(f6(u,v),x)))),first(w))*. % 299.97/300.40 30221[0:Res:1550.1,5020.1] || member(u,image(cross_product(v,f6(w,x)),y)) member(w,second(x)) equal(z,x) -> member(second(first(f22(u,cross_product(v,f6(w,x)),y))),first(z))*. % 299.97/300.40 30212[0:Res:541.1,5020.1] || member(u,second(v)) equal(w,v) -> single_valued_set(cross_product(x,f6(u,v))) member(second(ordered_pair(f19(cross_product(x,f6(u,v))),f20(cross_product(x,f6(u,v))))),first(w))*. % 299.97/300.40 30211[0:Res:540.1,5020.1] || member(u,second(v)) equal(w,v) -> single_valued_set(cross_product(x,f6(u,v))) member(second(ordered_pair(f19(cross_product(x,f6(u,v))),f21(cross_product(x,f6(u,v))))),first(w))*. % 299.97/300.40 30207[0:Res:3839.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(powerset(x),f6(u,v)) subset(f1(powerset(x),f6(u,v)),x)* member(f1(powerset(x),f6(u,v)),first(w))*. % 299.97/300.40 30175[0:Res:3821.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),powerset(x)) subset(f1(f6(u,v),powerset(x)),x)* member(f1(f6(u,v),powerset(x)),first(w))*. % 299.97/300.40 30369[0:Res:1549.1,5022.1] || member(u,image(cross_product(f9(v,w),x),y)) member(v,rotate_right(w)) equal(z,v) -> member(first(first(f22(u,cross_product(f9(v,w),x),y))),first(z))*. % 299.97/300.40 30364[0:Res:554.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(cross_product(f9(u,v),x)) member(first(ordered_pair(f19(cross_product(f9(u,v),x)),f20(cross_product(f9(u,v),x)))),first(w))*. % 299.97/300.40 30363[0:Res:553.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(cross_product(f9(u,v),x)) member(first(ordered_pair(f19(cross_product(f9(u,v),x)),f21(cross_product(f9(u,v),x)))),first(w))*. % 299.97/300.40 30332[0:Res:1550.1,5022.1] || member(u,image(cross_product(v,f9(w,x)),y)) member(w,rotate_right(x)) equal(z,w) -> member(second(first(f22(u,cross_product(v,f9(w,x)),y))),first(z))*. % 299.97/300.40 30323[0:Res:541.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(cross_product(x,f9(u,v))) member(second(ordered_pair(f19(cross_product(x,f9(u,v))),f20(cross_product(x,f9(u,v))))),first(w))*. % 299.97/300.40 30322[0:Res:540.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(cross_product(x,f9(u,v))) member(second(ordered_pair(f19(cross_product(x,f9(u,v))),f21(cross_product(x,f9(u,v))))),first(w))*. % 299.97/300.40 30318[0:Res:3839.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(powerset(x),f9(u,v)) subset(f1(powerset(x),f9(u,v)),x)* member(f1(powerset(x),f9(u,v)),first(w))*. % 299.97/300.40 30286[0:Res:3821.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),powerset(x)) subset(f1(f9(u,v),powerset(x)),x)* member(f1(f9(u,v),powerset(x)),first(w))*. % 299.97/300.40 30512[0:Res:1549.1,5024.1] || member(u,image(cross_product(f12(v,w),x),y)) member(v,flip_range_of(w)) equal(z,v) -> member(first(first(f22(u,cross_product(f12(v,w),x),y))),first(z))*. % 299.97/300.40 30507[0:Res:554.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(cross_product(f12(u,v),x)) member(first(ordered_pair(f19(cross_product(f12(u,v),x)),f20(cross_product(f12(u,v),x)))),first(w))*. % 299.97/300.40 30506[0:Res:553.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(cross_product(f12(u,v),x)) member(first(ordered_pair(f19(cross_product(f12(u,v),x)),f21(cross_product(f12(u,v),x)))),first(w))*. % 299.97/300.40 30475[0:Res:1550.1,5024.1] || member(u,image(cross_product(v,f12(w,x)),y)) member(w,flip_range_of(x)) equal(z,w) -> member(second(first(f22(u,cross_product(v,f12(w,x)),y))),first(z))*. % 299.97/300.40 30466[0:Res:541.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(cross_product(x,f12(u,v))) member(second(ordered_pair(f19(cross_product(x,f12(u,v))),f20(cross_product(x,f12(u,v))))),first(w))*. % 299.97/300.40 30465[0:Res:540.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(cross_product(x,f12(u,v))) member(second(ordered_pair(f19(cross_product(x,f12(u,v))),f21(cross_product(x,f12(u,v))))),first(w))*. % 299.97/300.40 30461[0:Res:3839.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(powerset(x),f12(u,v)) subset(f1(powerset(x),f12(u,v)),x)* member(f1(powerset(x),f12(u,v)),first(w))*. % 299.97/300.40 30429[0:Res:3821.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),powerset(x)) subset(f1(f12(u,v),powerset(x)),x)* member(f1(f12(u,v),powerset(x)),first(w))*. % 299.97/300.40 30665[0:Res:1549.1,5064.1] || member(u,image(cross_product(f5(v,w),x),y)) member(v,first(w)) equal(z,w) -> member(first(first(f22(u,cross_product(f5(v,w),x),y))),second(z))*. % 299.97/300.40 30660[0:Res:554.1,5064.1] || member(u,first(v)) equal(w,v) -> single_valued_set(cross_product(f5(u,v),x)) member(first(ordered_pair(f19(cross_product(f5(u,v),x)),f20(cross_product(f5(u,v),x)))),second(w))*. % 299.97/300.40 30659[0:Res:553.1,5064.1] || member(u,first(v)) equal(w,v) -> single_valued_set(cross_product(f5(u,v),x)) member(first(ordered_pair(f19(cross_product(f5(u,v),x)),f21(cross_product(f5(u,v),x)))),second(w))*. % 299.97/300.40 30628[0:Res:1550.1,5064.1] || member(u,image(cross_product(v,f5(w,x)),y)) member(w,first(x)) equal(z,x) -> member(second(first(f22(u,cross_product(v,f5(w,x)),y))),second(z))*. % 299.97/300.40 30619[0:Res:541.1,5064.1] || member(u,first(v)) equal(w,v) -> single_valued_set(cross_product(x,f5(u,v))) member(second(ordered_pair(f19(cross_product(x,f5(u,v))),f20(cross_product(x,f5(u,v))))),second(w))*. % 299.97/300.40 30618[0:Res:540.1,5064.1] || member(u,first(v)) equal(w,v) -> single_valued_set(cross_product(x,f5(u,v))) member(second(ordered_pair(f19(cross_product(x,f5(u,v))),f21(cross_product(x,f5(u,v))))),second(w))*. % 299.97/300.40 30614[0:Res:3839.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(powerset(x),f5(u,v)) subset(f1(powerset(x),f5(u,v)),x)* member(f1(powerset(x),f5(u,v)),second(w))*. % 299.97/300.40 30582[0:Res:3821.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),powerset(x)) subset(f1(f5(u,v),powerset(x)),x)* member(f1(f5(u,v),powerset(x)),second(w))*. % 299.97/300.40 30822[0:Res:1549.1,5065.1] || member(u,image(cross_product(f7(v,w),x),y)) member(v,second(w)) equal(z,w) -> member(first(first(f22(u,cross_product(f7(v,w),x),y))),second(z))*. % 299.97/300.40 30817[0:Res:554.1,5065.1] || member(u,second(v)) equal(w,v) -> single_valued_set(cross_product(f7(u,v),x)) member(first(ordered_pair(f19(cross_product(f7(u,v),x)),f20(cross_product(f7(u,v),x)))),second(w))*. % 299.97/300.40 30816[0:Res:553.1,5065.1] || member(u,second(v)) equal(w,v) -> single_valued_set(cross_product(f7(u,v),x)) member(first(ordered_pair(f19(cross_product(f7(u,v),x)),f21(cross_product(f7(u,v),x)))),second(w))*. % 299.97/300.40 30785[0:Res:1550.1,5065.1] || member(u,image(cross_product(v,f7(w,x)),y)) member(w,second(x)) equal(z,x) -> member(second(first(f22(u,cross_product(v,f7(w,x)),y))),second(z))*. % 299.97/300.40 30776[0:Res:541.1,5065.1] || member(u,second(v)) equal(w,v) -> single_valued_set(cross_product(x,f7(u,v))) member(second(ordered_pair(f19(cross_product(x,f7(u,v))),f20(cross_product(x,f7(u,v))))),second(w))*. % 299.97/300.40 30775[0:Res:540.1,5065.1] || member(u,second(v)) equal(w,v) -> single_valued_set(cross_product(x,f7(u,v))) member(second(ordered_pair(f19(cross_product(x,f7(u,v))),f21(cross_product(x,f7(u,v))))),second(w))*. % 299.97/300.40 30771[0:Res:3839.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(powerset(x),f7(u,v)) subset(f1(powerset(x),f7(u,v)),x)* member(f1(powerset(x),f7(u,v)),second(w))*. % 299.97/300.40 30739[0:Res:3821.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),powerset(x)) subset(f1(f7(u,v),powerset(x)),x)* member(f1(f7(u,v),powerset(x)),second(w))*. % 299.97/300.40 32202[0:Res:1008.2,5065.1] || member(u,range_of(v)) member(f27(u,v),converse(f7(w,x)))* member(w,second(x)) equal(y,x)* -> member(ordered_pair(u,first(f27(u,v))),second(y))*. % 299.97/300.40 32201[0:Res:1008.2,5064.1] || member(u,range_of(v)) member(f27(u,v),converse(f5(w,x)))* member(w,first(x)) equal(y,x)* -> member(ordered_pair(u,first(f27(u,v))),second(y))*. % 299.97/300.40 32200[0:Res:1008.2,5024.1] || member(u,range_of(v)) member(f27(u,v),converse(f12(w,x)))* member(w,flip_range_of(x)) equal(y,w)* -> member(ordered_pair(u,first(f27(u,v))),first(y))*. % 299.97/300.40 32199[0:Res:1008.2,5022.1] || member(u,range_of(v)) member(f27(u,v),converse(f9(w,x)))* member(w,rotate_right(x)) equal(y,w)* -> member(ordered_pair(u,first(f27(u,v))),first(y))*. % 299.97/300.40 32198[0:Res:1008.2,5020.1] || member(u,range_of(v)) member(f27(u,v),converse(f6(w,x)))* member(w,second(x)) equal(y,x)* -> member(ordered_pair(u,first(f27(u,v))),first(y))*. % 299.97/300.40 32197[0:Res:1008.2,5019.1] || member(u,range_of(v)) member(f27(u,v),converse(f4(w,x)))* member(w,first(x)) equal(y,x)* -> member(ordered_pair(u,first(f27(u,v))),first(y))*. % 299.97/300.40 32195[3:Res:1008.2,6192.1] || member(u,range_of(v)) member(f27(u,v),converse(second(w)))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(u,first(f27(u,v))),apply(x,y))*. % 299.97/300.40 32160[0:Res:1008.2,1020.0] || member(u,range_of(v)) member(f27(u,v),converse(converse(intersection(w,x))))* -> member(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),w)*. % 299.97/300.40 32159[0:Res:1008.2,1021.0] || member(u,range_of(v)) member(f27(u,v),converse(converse(intersection(w,x))))* -> member(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),x)*. % 299.97/300.40 32373[0:Res:1007.2,5065.1] || member(u,domain_of(v)) member(f8(u,v),converse(f7(w,x)))* member(w,second(x)) equal(y,x)* -> member(ordered_pair(second(f8(u,v)),u),second(y))*. % 299.97/300.40 32372[0:Res:1007.2,5064.1] || member(u,domain_of(v)) member(f8(u,v),converse(f5(w,x)))* member(w,first(x)) equal(y,x)* -> member(ordered_pair(second(f8(u,v)),u),second(y))*. % 299.97/300.40 32371[0:Res:1007.2,5024.1] || member(u,domain_of(v)) member(f8(u,v),converse(f12(w,x)))* member(w,flip_range_of(x)) equal(y,w)* -> member(ordered_pair(second(f8(u,v)),u),first(y))*. % 299.97/300.40 32370[0:Res:1007.2,5022.1] || member(u,domain_of(v)) member(f8(u,v),converse(f9(w,x)))* member(w,rotate_right(x)) equal(y,w)* -> member(ordered_pair(second(f8(u,v)),u),first(y))*. % 299.97/300.40 32369[0:Res:1007.2,5020.1] || member(u,domain_of(v)) member(f8(u,v),converse(f6(w,x)))* member(w,second(x)) equal(y,x)* -> member(ordered_pair(second(f8(u,v)),u),first(y))*. % 299.97/300.40 32368[0:Res:1007.2,5019.1] || member(u,domain_of(v)) member(f8(u,v),converse(f4(w,x)))* member(w,first(x)) equal(y,x)* -> member(ordered_pair(second(f8(u,v)),u),first(y))*. % 299.97/300.40 32366[3:Res:1007.2,6192.1] || member(u,domain_of(v)) member(f8(u,v),converse(second(w)))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(second(f8(u,v)),u),apply(x,y))*. % 299.97/300.40 32331[0:Res:1007.2,1020.0] || member(u,domain_of(v)) member(f8(u,v),converse(converse(intersection(w,x))))* -> member(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),w)*. % 299.97/300.40 32330[0:Res:1007.2,1021.0] || member(u,domain_of(v)) member(f8(u,v),converse(converse(intersection(w,x))))* -> member(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),x)*. % 299.97/300.40 32830[0:Res:3836.2,1354.0] || -> equal(cross_product(u,image(v,cross_product(w,x))),y) member(f1(cross_product(u,image(v,cross_product(w,x))),y),y)* member(second(f1(cross_product(u,image(v,cross_product(w,x))),y)),x)*. % 299.97/300.40 32806[3:Res:3836.2,6176.0] || -> equal(cross_product(u,converse(v)),w) member(f1(cross_product(u,converse(v)),w),w) ordered_pair_predicate(ordered_pair(second(second(f1(cross_product(u,converse(v)),w))),first(second(f1(cross_product(u,converse(v)),w)))))*. % 299.97/300.40 32772[0:Res:3836.1,1354.0] || -> equal(cross_product(u,v),image(w,cross_product(x,y))) member(second(f1(cross_product(u,v),image(w,cross_product(x,y)))),v)* member(f1(cross_product(u,v),image(w,cross_product(x,y))),y)*. % 299.97/300.40 32995[0:Res:3835.2,1354.0] || -> equal(cross_product(image(u,cross_product(v,w)),x),y) member(f1(cross_product(image(u,cross_product(v,w)),x),y),y)* member(first(f1(cross_product(image(u,cross_product(v,w)),x),y)),w)*. % 299.97/300.40 32971[3:Res:3835.2,6176.0] || -> equal(cross_product(converse(u),v),w) member(f1(cross_product(converse(u),v),w),w) ordered_pair_predicate(ordered_pair(second(first(f1(cross_product(converse(u),v),w))),first(first(f1(cross_product(converse(u),v),w)))))*. % 299.97/300.40 32937[0:Res:3835.1,1354.0] || -> equal(cross_product(u,v),image(w,cross_product(x,y))) member(first(f1(cross_product(u,v),image(w,cross_product(x,y)))),u)* member(f1(cross_product(u,v),image(w,cross_product(x,y))),y)*. % 299.97/300.40 33166[0:Res:3818.2,1354.0] || -> equal(u,cross_product(v,image(w,cross_product(x,y)))) member(f1(u,cross_product(v,image(w,cross_product(x,y)))),u)* member(second(f1(u,cross_product(v,image(w,cross_product(x,y))))),y)*. % 299.97/300.40 33142[3:Res:3818.2,6176.0] || -> equal(u,cross_product(v,converse(w))) member(f1(u,cross_product(v,converse(w))),u) ordered_pair_predicate(ordered_pair(second(second(f1(u,cross_product(v,converse(w))))),first(second(f1(u,cross_product(v,converse(w)))))))*. % 299.97/300.40 33108[0:Res:3818.1,1354.0] || -> equal(image(u,cross_product(v,w)),cross_product(x,y)) member(second(f1(image(u,cross_product(v,w)),cross_product(x,y))),y)* member(f1(image(u,cross_product(v,w)),cross_product(x,y)),w)*. % 299.97/300.40 33332[0:Res:3817.2,1354.0] || -> equal(u,cross_product(image(v,cross_product(w,x)),y)) member(f1(u,cross_product(image(v,cross_product(w,x)),y)),u)* member(first(f1(u,cross_product(image(v,cross_product(w,x)),y))),x)*. % 299.97/300.40 33308[3:Res:3817.2,6176.0] || -> equal(u,cross_product(converse(v),w)) member(f1(u,cross_product(converse(v),w)),u) ordered_pair_predicate(ordered_pair(second(first(f1(u,cross_product(converse(v),w)))),first(first(f1(u,cross_product(converse(v),w))))))*. % 299.97/300.40 33274[0:Res:3817.1,1354.0] || -> equal(image(u,cross_product(v,w)),cross_product(x,y)) member(first(f1(image(u,cross_product(v,w)),cross_product(x,y))),x)* member(f1(image(u,cross_product(v,w)),cross_product(x,y)),w)*. % 299.97/300.40 33565[0:Res:955.2,1441.0] || subset(u,converse(non_ordered_pair(v,w)))* -> subset(u,x) equal(ordered_pair(second(f17(u,x)),first(f17(u,x))),w)* equal(ordered_pair(second(f17(u,x)),first(f17(u,x))),v)*. % 299.97/300.40 33562[0:Res:961.2,1441.0] || subset(u,converse(non_ordered_pair(v,w)))* -> disjoint(x,u) equal(ordered_pair(second(f23(x,u)),first(f23(x,u))),w)* equal(ordered_pair(second(f23(x,u)),first(f23(x,u))),v)*. % 299.97/300.40 33560[0:Res:954.2,1441.0] || subset(u,converse(non_ordered_pair(v,w)))* -> disjoint(u,x) equal(ordered_pair(second(f23(u,x)),first(f23(u,x))),w)* equal(ordered_pair(second(f23(u,x)),first(f23(u,x))),v)*. % 299.97/300.40 33720[3:Res:67.1,6224.3] little_set(u) single_valued_set(f16(ordered_pair(f2(v),u),w)) || member(ordered_pair(f2(v),u),sigma(w)) member(v,f16(ordered_pair(f2(v),u),w))* -> equal(u,f3(v)). % 299.97/300.40 33719[3:Res:21.1,6224.3] little_set(u) single_valued_set(f4(ordered_pair(f2(v),u),w)) || member(ordered_pair(f2(v),u),first(w)) member(v,f4(ordered_pair(f2(v),u),w))* -> equal(u,f3(v)). % 299.97/300.40 33718[3:Res:26.1,6224.3] little_set(u) single_valued_set(f7(ordered_pair(f2(v),u),w)) || member(ordered_pair(f2(v),u),second(w)) member(v,f7(ordered_pair(f2(v),u),w))* -> equal(u,f3(v)). % 299.97/300.40 33715[3:Res:33.2,6224.3] little_set(u) single_valued_set(intersection(v,w)) || member(ordered_pair(f2(x),u),w)* member(ordered_pair(f2(x),u),v)* member(x,intersection(v,w))* -> equal(u,f3(x)). % 299.97/300.40 34278[0:Res:107.1,1437.0] || member(u,range_of(range_of(non_ordered_pair(v,w)))) -> equal(f27(f27(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f27(f27(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34276[0:Res:66.1,1437.0] || member(u,sigma(range_of(non_ordered_pair(v,w)))) -> equal(f27(f16(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f27(f16(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34274[0:Res:38.1,1437.0] || member(u,domain_of(range_of(non_ordered_pair(v,w)))) -> equal(f27(f8(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f27(f8(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34535[0:Res:1273.2,1438.0] || member(u,apply(v,w)) member(v,non_ordered_pair(x,y)) -> equal(f16(f28(u,v,w),non_ordered_pair(x,y)),y)** equal(f16(f28(u,v,w),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34534[0:Res:1338.2,1438.0] || member(u,image(v,w)) member(w,non_ordered_pair(x,y)) -> equal(f16(f22(u,v,w),non_ordered_pair(x,y)),y)** equal(f16(f22(u,v,w),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34450[0:Res:107.1,1438.0] || member(u,range_of(sigma(non_ordered_pair(v,w)))) -> equal(f16(f27(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f16(f27(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34448[0:Res:66.1,1438.0] || member(u,sigma(sigma(non_ordered_pair(v,w)))) -> equal(f16(f16(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f16(f16(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34446[0:Res:38.1,1438.0] || member(u,domain_of(sigma(non_ordered_pair(v,w)))) -> equal(f16(f8(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f16(f8(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34615[0:Res:107.1,1439.0] || member(u,range_of(domain_of(non_ordered_pair(v,w)))) -> equal(f8(f27(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f8(f27(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34613[0:Res:66.1,1439.0] || member(u,sigma(domain_of(non_ordered_pair(v,w)))) -> equal(f8(f16(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f8(f16(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34611[0:Res:38.1,1439.0] || member(u,domain_of(domain_of(non_ordered_pair(v,w)))) -> equal(f8(f8(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f8(f8(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34857[0:Rew:372.0,34826.2,372.0,34826.0] || equal(f1(u,ordered_pair(singleton_set(v),non_ordered_pair(v,w))),ordered_pair(v,w)) member(f1(u,ordered_pair(singleton_set(v),non_ordered_pair(v,w))),u)* -> equal(u,ordered_pair(singleton_set(v),non_ordered_pair(v,w))). % 299.97/300.40 35111[0:Res:557.1,5025.1] || member(u,range_of(cross_product(f29(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(first(f27(u,cross_product(f29(v,w,x),y))),first(z))*. % 299.97/300.40 35110[0:Res:558.1,5025.1] || member(u,sigma(cross_product(f29(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(first(f16(u,cross_product(f29(v,w,x),y))),first(z))*. % 299.97/300.40 35065[0:Res:545.1,5025.1] || member(u,sigma(cross_product(v,f29(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(second(f16(u,cross_product(v,f29(w,x,y)))),first(z))*. % 299.97/300.40 35064[0:Res:546.1,5025.1] || member(u,domain_of(cross_product(v,f29(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(second(f8(u,cross_product(v,f29(w,x,y)))),first(z))*. % 299.97/300.40 35281[0:Res:557.1,5066.1] || member(u,range_of(cross_product(f30(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(first(f27(u,cross_product(f30(v,w,x),y))),second(z))*. % 299.97/300.40 35280[0:Res:558.1,5066.1] || member(u,sigma(cross_product(f30(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(first(f16(u,cross_product(f30(v,w,x),y))),second(z))*. % 299.97/300.40 35235[0:Res:545.1,5066.1] || member(u,sigma(cross_product(v,f30(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(second(f16(u,cross_product(v,f30(w,x,y)))),second(z))*. % 299.97/300.40 35234[0:Res:546.1,5066.1] || member(u,domain_of(cross_product(v,f30(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(second(f8(u,cross_product(v,f30(w,x,y)))),second(z))*. % 299.97/300.40 35636[0:MRR:35635.0,92.1] || member(u,image(v,w)) member(ordered_pair(u,first(f22(u,v,w))),sigma(x)) -> member(f22(u,v,w),converse(f16(ordered_pair(u,first(f22(u,v,w))),x)))*. % 299.97/300.40 35638[0:MRR:35637.0,117.1] || member(u,apply(v,w)) member(ordered_pair(second(f28(u,v,w)),w),sigma(x)) -> member(f28(u,v,w),converse(f16(ordered_pair(second(f28(u,v,w)),w),x)))*. % 299.97/300.40 35795[0:MRR:35794.0,92.1] || member(u,image(v,w)) member(ordered_pair(u,first(f22(u,v,w))),first(x)) -> member(f22(u,v,w),converse(f4(ordered_pair(u,first(f22(u,v,w))),x)))*. % 299.97/300.40 35797[0:MRR:35796.0,117.1] || member(u,apply(v,w)) member(ordered_pair(second(f28(u,v,w)),w),first(x)) -> member(f28(u,v,w),converse(f4(ordered_pair(second(f28(u,v,w)),w),x)))*. % 299.97/300.40 36014[0:MRR:36013.0,92.1] || member(u,image(v,w)) member(ordered_pair(u,first(f22(u,v,w))),second(x)) -> member(f22(u,v,w),converse(f7(ordered_pair(u,first(f22(u,v,w))),x)))*. % 299.97/300.40 36016[0:MRR:36015.0,117.1] || member(u,apply(v,w)) member(ordered_pair(second(f28(u,v,w)),w),second(x)) -> member(f28(u,v,w),converse(f7(ordered_pair(second(f28(u,v,w)),w),x)))*. % 299.97/300.40 36340[0:Res:3651.2,4926.2] little_set(u) || member(f8(v,w),cross_product(x,universal_set))* member(f8(v,w),y)* member(v,domain_of(w)) equal(u,v)* -> member(u,domain_of(restrict(y,x)))*. % 299.97/300.40 36501[0:Res:3651.2,4972.2] little_set(u) || member(f27(v,w),cross_product(x,universal_set))* member(f27(v,w),y)* member(v,range_of(w)) equal(u,v)* -> member(u,range_of(restrict(y,x)))*. % 299.97/300.40 36625[0:MRR:36624.1,54.1] little_set(u) single_valued_set(v) || member(w,flip_range_of(x)) subset(x,v) member(ordered_pair(f12(w,x),u),v)* -> equal(u,ordered_pair(f14(w,x),f13(w,x)))*. % 299.97/300.40 37053[0:MRR:37052.1,49.1] little_set(u) single_valued_set(v) || member(w,rotate_right(x)) subset(x,v) member(ordered_pair(f10(w,x),u),v)* -> equal(u,ordered_pair(f11(w,x),f9(w,x)))*. % 299.97/300.40 38501[0:SSi:38475.0,371.0,371.0] || equal(ordered_pair(f12(u,complement(ordered_pair(v,w))),ordered_pair(f14(u,complement(ordered_pair(v,w))),f13(u,complement(ordered_pair(v,w))))),singleton_set(v))** member(u,flip_range_of(complement(ordered_pair(v,w)))) -> . % 299.97/300.40 38600[0:SSi:38574.0,371.0,371.0] || equal(ordered_pair(f10(u,complement(ordered_pair(v,w))),ordered_pair(f11(u,complement(ordered_pair(v,w))),f9(u,complement(ordered_pair(v,w))))),singleton_set(v))** member(u,rotate_right(complement(ordered_pair(v,w)))) -> . % 299.97/300.40 38688[3:Rew:95.1,38664.3] || member(u,image(v,w)) member(f22(u,v,w),x)* equal(first(f22(u,v,w)),y)* -> single_valued_set(u) member(ordered_pair(f19(u),f20(u)),apply(x,y))*. % 299.97/300.40 38758[3:Rew:95.1,38734.3] || member(u,image(v,w)) member(f22(u,v,w),x)* equal(first(f22(u,v,w)),y)* -> single_valued_set(u) member(ordered_pair(f19(u),f21(u)),apply(x,y))*. % 299.97/300.40 38866[0:Res:5054.3,4457.3] little_set(u) little_set(v) ordered_pair_predicate(w) || member(cross_product(x,y),u)* member(second(w),y)* member(first(w),x)* -> member(w,sigma(second(ordered_pair(v,u))))*. % 299.97/300.40 38865[0:Res:5009.3,4457.3] little_set(u) little_set(v) ordered_pair_predicate(w) || member(cross_product(x,y),v)* member(second(w),y)* member(first(w),x)* -> member(w,sigma(first(ordered_pair(v,u))))*. % 299.97/300.40 38863[0:Res:1080.2,4457.3] little_set(cross_product(u,v)) ordered_pair_predicate(w) || equal(cross_product(u,v),non_ordered_pair(x,y))* member(second(w),v)* member(first(w),u)* -> member(w,sigma(ordered_pair(x,y)))*. % 299.97/300.40 39224[0:Res:5054.3,4620.1] little_set(u) little_set(v) || member(ordered_pair(f12(w,x),ordered_pair(f14(w,x),f13(w,x))),u)* member(w,flip_range_of(x)) disjoint(second(ordered_pair(v,u)),x)* -> . % 299.97/300.40 39223[0:Res:5009.3,4620.1] little_set(u) little_set(v) || member(ordered_pair(f12(w,x),ordered_pair(f14(w,x),f13(w,x))),v)* member(w,flip_range_of(x)) disjoint(first(ordered_pair(v,u)),x)* -> . % 299.97/300.40 39744[0:Res:5054.3,4768.1] little_set(u) little_set(v) || member(ordered_pair(f10(w,x),ordered_pair(f11(w,x),f9(w,x))),u)* member(w,rotate_right(x)) disjoint(second(ordered_pair(v,u)),x)* -> . % 299.97/300.40 39743[0:Res:5009.3,4768.1] little_set(u) little_set(v) || member(ordered_pair(f10(w,x),ordered_pair(f11(w,x),f9(w,x))),v)* member(w,rotate_right(x)) disjoint(first(ordered_pair(v,u)),x)* -> . % 299.97/300.40 40287[0:Res:1274.2,5068.1] || member(u,apply(v,w)) subset(v,ordered_pair(f10(x,y),f11(x,y)))* member(x,rotate_right(y)) equal(z,x)* -> member(f28(u,v,w),second(z))*. % 299.97/300.40 40285[0:Res:1339.2,5068.1] || member(u,image(v,w)) subset(w,ordered_pair(f10(x,y),f11(x,y)))* member(x,rotate_right(y)) equal(z,x)* -> member(f22(u,v,w),second(z))*. % 299.97/300.40 40211[0:Res:107.1,5068.1] || member(u,range_of(ordered_pair(f10(v,w),f11(v,w)))) member(v,rotate_right(w)) equal(x,v) -> member(f27(u,ordered_pair(f10(v,w),f11(v,w))),second(x))*. % 299.97/300.40 40209[0:Res:66.1,5068.1] || member(u,sigma(ordered_pair(f10(v,w),f11(v,w)))) member(v,rotate_right(w)) equal(x,v) -> member(f16(u,ordered_pair(f10(v,w),f11(v,w))),second(x))*. % 299.97/300.40 40207[0:Res:38.1,5068.1] || member(u,domain_of(ordered_pair(f10(v,w),f11(v,w)))) member(v,rotate_right(w)) equal(x,v) -> member(f8(u,ordered_pair(f10(v,w),f11(v,w))),second(x))*. % 299.97/300.40 40204[0:Res:395.0,5068.1] || member(u,rotate_right(v)) equal(w,u) -> subset(x,complement(ordered_pair(f10(u,v),f11(u,v)))) member(f17(x,complement(ordered_pair(f10(u,v),f11(u,v)))),second(w))*. % 299.97/300.40 40184[0:Res:4258.0,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(complement(ordered_pair(f10(u,v),f11(u,v))),universal_set) member(f1(complement(ordered_pair(f10(u,v),f11(u,v))),universal_set),second(w))*. % 299.97/300.40 40467[0:Res:1274.2,5070.1] || member(u,apply(v,w)) subset(v,ordered_pair(f13(x,y),f14(x,y)))* member(x,flip_range_of(y)) equal(z,x)* -> member(f28(u,v,w),second(z))*. % 299.97/300.40 40465[0:Res:1339.2,5070.1] || member(u,image(v,w)) subset(w,ordered_pair(f13(x,y),f14(x,y)))* member(x,flip_range_of(y)) equal(z,x)* -> member(f22(u,v,w),second(z))*. % 299.97/300.40 40391[0:Res:107.1,5070.1] || member(u,range_of(ordered_pair(f13(v,w),f14(v,w)))) member(v,flip_range_of(w)) equal(x,v) -> member(f27(u,ordered_pair(f13(v,w),f14(v,w))),second(x))*. % 299.97/300.40 40389[0:Res:66.1,5070.1] || member(u,sigma(ordered_pair(f13(v,w),f14(v,w)))) member(v,flip_range_of(w)) equal(x,v) -> member(f16(u,ordered_pair(f13(v,w),f14(v,w))),second(x))*. % 299.97/300.40 40387[0:Res:38.1,5070.1] || member(u,domain_of(ordered_pair(f13(v,w),f14(v,w)))) member(v,flip_range_of(w)) equal(x,v) -> member(f8(u,ordered_pair(f13(v,w),f14(v,w))),second(x))*. % 299.97/300.40 40384[0:Res:395.0,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(x,complement(ordered_pair(f13(u,v),f14(u,v)))) member(f17(x,complement(ordered_pair(f13(u,v),f14(u,v)))),second(w))*. % 299.97/300.40 40364[0:Res:4258.0,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(complement(ordered_pair(f13(u,v),f14(u,v))),universal_set) member(f1(complement(ordered_pair(f13(u,v),f14(u,v))),universal_set),second(w))*. % 299.97/300.40 40681[2:Res:25246.0,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(complement(ordered_pair(f13(u,v),f14(u,v))),universal_set) member(f1(universal_set,complement(ordered_pair(f13(u,v),f14(u,v)))),second(w))*. % 299.97/300.40 40680[2:Res:25246.0,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(complement(ordered_pair(f10(u,v),f11(u,v))),universal_set) member(f1(universal_set,complement(ordered_pair(f10(u,v),f11(u,v)))),second(w))*. % 299.97/300.40 40782[0:Res:1468.2,5063.1] ordered_pair_predicate(u) || member(v,image(w,x)) member(f22(v,w,x),converse(f3(u)))* equal(y,u)* -> member(ordered_pair(v,first(f22(v,w,x))),second(y))*. % 299.97/300.40 40781[0:Res:1468.2,5018.1] ordered_pair_predicate(u) || member(v,image(w,x)) member(f22(v,w,x),converse(f2(u)))* equal(y,u)* -> member(ordered_pair(v,first(f22(v,w,x))),first(y))*. % 299.97/300.40 40793[3:MRR:40764.0,1545.1] single_valued_set(u) || member(f2(v),image(w,x)) member(f22(f2(v),w,x),converse(u))* member(v,u) -> equal(first(f22(f2(v),w,x)),f3(v)). % 299.97/300.40 40926[0:Res:1464.2,5063.1] ordered_pair_predicate(u) || member(v,apply(w,x)) member(f28(v,w,x),converse(f3(u)))* equal(y,u)* -> member(ordered_pair(second(f28(v,w,x)),x),second(y))*. % 299.97/300.40 40925[0:Res:1464.2,5018.1] ordered_pair_predicate(u) || member(v,apply(w,x)) member(f28(v,w,x),converse(f2(u)))* equal(y,u)* -> member(ordered_pair(second(f28(v,w,x)),x),first(y))*. % 299.97/300.40 40993[0:Res:5054.3,4121.1] little_set(u) little_set(v) || member(ordered_pair(w,first(f22(w,x,y))),u)* member(w,image(x,y)) -> member(f22(w,x,y),converse(second(ordered_pair(v,u))))*. % 299.97/300.40 40992[0:Res:5009.3,4121.1] little_set(u) little_set(v) || member(ordered_pair(w,first(f22(w,x,y))),v)* member(w,image(x,y)) -> member(f22(w,x,y),converse(first(ordered_pair(v,u))))*. % 299.97/300.40 41090[0:Res:5054.3,4122.1] little_set(u) little_set(v) || member(ordered_pair(second(f28(w,x,y)),y),u)* member(w,apply(x,y)) -> member(f28(w,x,y),converse(second(ordered_pair(v,u))))*. % 299.97/300.40 41089[0:Res:5009.3,4122.1] little_set(u) little_set(v) || member(ordered_pair(second(f28(w,x,y)),y),v)* member(w,apply(x,y)) -> member(f28(w,x,y),converse(first(ordered_pair(v,u))))*. % 299.97/300.40 41240[0:Res:4286.1,547.0] || member(u,compose(v,intersection(w,range_of(cross_product(x,y))))) -> member(ordered_pair(f31(u,v,intersection(w,range_of(cross_product(x,y)))),f30(u,v,intersection(w,range_of(cross_product(x,y))))),y)*. % 299.97/300.40 41237[0:Res:4286.1,560.0] || member(u,compose(v,intersection(w,domain_of(cross_product(x,y))))) -> member(ordered_pair(f31(u,v,intersection(w,domain_of(cross_product(x,y)))),f30(u,v,intersection(w,domain_of(cross_product(x,y))))),x)*. % 299.97/300.40 41221[0:Res:4286.1,4238.0] || member(u,compose(v,intersection(w,compose(x,y)))) equal(z,ordered_pair(f31(u,v,intersection(w,compose(x,y))),f30(u,v,intersection(w,compose(x,y)))))* -> ordered_pair_predicate(z)*. % 299.97/300.40 41479[0:Res:4285.1,547.0] || member(u,compose(v,intersection(range_of(cross_product(w,x)),y))) -> member(ordered_pair(f31(u,v,intersection(range_of(cross_product(w,x)),y)),f30(u,v,intersection(range_of(cross_product(w,x)),y))),x)*. % 299.97/300.40 41476[0:Res:4285.1,560.0] || member(u,compose(v,intersection(domain_of(cross_product(w,x)),y))) -> member(ordered_pair(f31(u,v,intersection(domain_of(cross_product(w,x)),y)),f30(u,v,intersection(domain_of(cross_product(w,x)),y))),w)*. % 299.97/300.40 41460[0:Res:4285.1,4238.0] || member(u,compose(v,intersection(compose(w,x),y))) equal(z,ordered_pair(f31(u,v,intersection(compose(w,x),y)),f30(u,v,intersection(compose(w,x),y))))* -> ordered_pair_predicate(z)*. % 299.97/300.40 41617[0:Res:4361.1,547.0] || member(u,compose(intersection(v,range_of(cross_product(w,x))),y)) -> member(ordered_pair(f29(u,intersection(v,range_of(cross_product(w,x))),y),f31(u,intersection(v,range_of(cross_product(w,x))),y)),x)*. % 299.97/300.40 41614[0:Res:4361.1,560.0] || member(u,compose(intersection(v,domain_of(cross_product(w,x))),y)) -> member(ordered_pair(f29(u,intersection(v,domain_of(cross_product(w,x))),y),f31(u,intersection(v,domain_of(cross_product(w,x))),y)),w)*. % 299.97/300.40 41598[0:Res:4361.1,4238.0] || member(u,compose(intersection(v,compose(w,x)),y)) equal(z,ordered_pair(f29(u,intersection(v,compose(w,x)),y),f31(u,intersection(v,compose(w,x)),y)))* -> ordered_pair_predicate(z)*. % 299.97/300.40 41739[0:Res:4360.1,547.0] || member(u,compose(intersection(range_of(cross_product(v,w)),x),y)) -> member(ordered_pair(f29(u,intersection(range_of(cross_product(v,w)),x),y),f31(u,intersection(range_of(cross_product(v,w)),x),y)),w)*. % 299.97/300.40 41736[0:Res:4360.1,560.0] || member(u,compose(intersection(domain_of(cross_product(v,w)),x),y)) -> member(ordered_pair(f29(u,intersection(domain_of(cross_product(v,w)),x),y),f31(u,intersection(domain_of(cross_product(v,w)),x),y)),v)*. % 299.97/300.40 41720[0:Res:4360.1,4238.0] || member(u,compose(intersection(compose(v,w),x),y)) equal(z,ordered_pair(f29(u,intersection(compose(v,w),x),y),f31(u,intersection(compose(v,w),x),y)))* -> ordered_pair_predicate(z)*. % 299.97/300.40 41958[3:SpL:108.1,6212.0] || member(u,range_of(v)) member(w,converse(u))* member(f27(u,v),x)* equal(first(f27(u,v)),y)* -> member(ordered_pair(second(w),first(w)),apply(x,y))*. % 299.97/300.40 42097[3:Rew:119.1,42085.4] || member(u,apply(v,w)) subset(v,converse(second(x)))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(second(f28(u,v,w)),w),apply(y,z))*. % 299.97/300.40 42098[3:Rew:95.1,42083.4] || member(u,image(v,w)) subset(w,converse(second(x)))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(u,first(f22(u,v,w))),apply(y,z))*. % 299.97/300.40 42101[3:Rew:108.1,42040.3] || member(u,range_of(intersection(v,converse(second(w))))) member(w,x) equal(first(w),y) -> member(ordered_pair(u,first(f27(u,intersection(v,converse(second(w)))))),apply(x,y))*. % 299.97/300.40 42102[3:Rew:39.1,42036.3] || member(u,domain_of(intersection(v,converse(second(w))))) member(w,x) equal(first(w),y) -> member(ordered_pair(second(f8(u,intersection(v,converse(second(w))))),u),apply(x,y))*. % 299.97/300.40 42103[3:Rew:108.1,42007.3] || member(u,range_of(intersection(converse(second(v)),w))) member(v,x) equal(first(v),y) -> member(ordered_pair(u,first(f27(u,intersection(converse(second(v)),w)))),apply(x,y))*. % 299.97/300.40 42104[3:Rew:39.1,42003.3] || member(u,domain_of(intersection(converse(second(v)),w))) member(v,x) equal(first(v),y) -> member(ordered_pair(second(f8(u,intersection(converse(second(v)),w))),u),apply(x,y))*. % 299.97/300.40 42382[0:Res:4279.1,274.0] || member(u,compose(v,cross_product(w,restrict(x,y)))) -> member(second(ordered_pair(f31(u,v,cross_product(w,restrict(x,y))),f30(u,v,cross_product(w,restrict(x,y))))),cross_product(y,universal_set))*. % 299.97/300.40 42493[0:Res:4278.1,274.0] || member(u,compose(v,cross_product(restrict(w,x),y))) -> member(first(ordered_pair(f31(u,v,cross_product(restrict(w,x),y)),f30(u,v,cross_product(restrict(w,x),y)))),cross_product(x,universal_set))*. % 299.97/300.40 42640[0:Res:4354.1,274.0] || member(u,compose(cross_product(v,restrict(w,x)),y)) -> member(second(ordered_pair(f29(u,cross_product(v,restrict(w,x)),y),f31(u,cross_product(v,restrict(w,x)),y))),cross_product(x,universal_set))*. % 299.97/300.40 42782[0:Res:4353.1,274.0] || member(u,compose(cross_product(restrict(v,w),x),y)) -> member(first(ordered_pair(f29(u,cross_product(restrict(v,w),x),y),f31(u,cross_product(restrict(v,w),x),y))),cross_product(w,universal_set))*. % 299.97/300.40 43277[0:Res:67.1,4109.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),sigma(v)) member(ordered_pair(second(u),first(u)),w) -> member(u,converse(intersection(w,f16(ordered_pair(second(u),first(u)),v))))*. % 299.97/300.40 43276[0:Res:21.1,4109.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),first(v)) member(ordered_pair(second(u),first(u)),w) -> member(u,converse(intersection(w,f4(ordered_pair(second(u),first(u)),v))))*. % 299.97/300.40 43275[0:Res:26.1,4109.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),second(v)) member(ordered_pair(second(u),first(u)),w) -> member(u,converse(intersection(w,f7(ordered_pair(second(u),first(u)),v))))*. % 299.97/300.40 43448[3:SSi:43379.0,63.0,15957.0] || member(ordered_pair(second(infinity),first(infinity)),apply(u,v)) disjoint(converse(second(f28(ordered_pair(second(infinity),first(infinity)),u,v))),converse(second(f28(ordered_pair(second(infinity),first(infinity)),u,v))))* -> . % 299.97/300.40 43837[3:Rew:108.1,43812.1] || member(u,range_of(v)) member(w,image(x,u)) member(f27(u,v),y)* equal(first(f27(u,v)),z)* -> member(f22(w,x,u),apply(y,z))*. % 299.97/300.40 43899[3:Rew:108.1,43872.1] || member(u,range_of(v)) member(w,apply(u,x)) member(f27(u,v),y)* equal(first(f27(u,v)),z)* -> member(f28(w,u,x),apply(y,z))*. % 299.97/300.40 47247[0:Res:960.2,1558.0] || member(u,infinity) subset(infinity,image(non_ordered_pair(v,w),x)) -> equal(first(f22(successor(u),non_ordered_pair(v,w),x)),w)** equal(first(f22(successor(u),non_ordered_pair(v,w),x)),v)**. % 299.97/300.40 55867[16:Rew:54986.0,48750.2] little_set(u) || member(f25,non_ordered_pair(v,w)) -> equal(u,a) equal(f16(ordered_pair(u,f26(u)),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(u,f26(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.40 55868[16:Rew:54986.0,48728.4] little_set(u) || subset(f25,ordered_pair(f10(v,w),f11(v,w)))* member(v,rotate_right(w)) equal(x,v)* -> equal(u,a) member(ordered_pair(u,f26(u)),second(x))*. % 299.97/300.40 55869[16:Rew:54986.0,48725.4] little_set(u) || subset(f25,ordered_pair(f13(v,w),f14(v,w)))* member(v,flip_range_of(w)) equal(x,v)* -> equal(u,a) member(ordered_pair(u,f26(u)),second(x))*. % 299.97/300.40 55870[16:Rew:54986.0,48722.4] little_set(u) || subset(u,converse(second(v)))* member(v,w)* equal(first(v),x)* -> equal(u,a) member(ordered_pair(second(f26(u)),first(f26(u))),apply(w,x))*. % 299.97/300.40 55871[16:Rew:54986.0,48719.2] little_set(u) || subset(u,apply(non_ordered_pair(v,w),x)) -> equal(u,a) equal(f28(f26(u),non_ordered_pair(v,w),x),w)** equal(f28(f26(u),non_ordered_pair(v,w),x),v)**. % 299.97/300.40 55872[16:Rew:54986.0,48716.2] little_set(u) || subset(u,image(v,non_ordered_pair(w,x))) -> equal(u,a) equal(f22(f26(u),v,non_ordered_pair(w,x)),x)** equal(f22(f26(u),v,non_ordered_pair(w,x)),w)**. % 299.97/300.40 59788[16:Rew:54986.0,57291.2] || subset(f25,image(non_ordered_pair(u,v),w)) -> equal(first(f22(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w)),v)** equal(first(f22(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.40 59789[16:Rew:54986.0,57292.2] || subset(universal_set,image(non_ordered_pair(u,v),w)) -> equal(first(f22(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w)),v)** equal(first(f22(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.40 58605[16:Rew:54986.0,51477.2] || member(u,image(v,w)) member(f22(u,v,w),converse(x))* -> equal(ordered_pair(u,first(f22(u,v,w))),a) ordered_pair_predicate(f26(ordered_pair(u,first(f22(u,v,w)))))*. % 299.97/300.40 58607[16:Rew:54986.0,51482.2] || member(u,apply(v,w)) member(f28(u,v,w),converse(x))* -> equal(ordered_pair(second(f28(u,v,w)),w),a) ordered_pair_predicate(f26(ordered_pair(second(f28(u,v,w)),w)))*. % 299.97/300.40 58738[16:Rew:54986.0,51617.1] || member(u,flip_range_of(intersection(v,f25))) -> equal(f12(u,intersection(v,f25)),a) equal(ordered_pair(f14(u,intersection(v,f25)),f13(u,intersection(v,f25))),f26(f12(u,intersection(v,f25))))**. % 299.97/300.40 58739[16:Rew:54986.0,51622.1] || member(u,flip_range_of(intersection(f25,v))) -> equal(f12(u,intersection(f25,v)),a) equal(ordered_pair(f14(u,intersection(f25,v)),f13(u,intersection(f25,v))),f26(f12(u,intersection(f25,v))))**. % 299.97/300.40 58740[16:Rew:54986.0,51623.1] || member(u,rotate_right(intersection(v,f25))) -> equal(f10(u,intersection(v,f25)),a) equal(ordered_pair(f11(u,intersection(v,f25)),f9(u,intersection(v,f25))),f26(f10(u,intersection(v,f25))))**. % 299.97/300.40 58741[16:Rew:54986.0,51626.1] || member(u,rotate_right(intersection(f25,v))) -> equal(f10(u,intersection(f25,v)),a) equal(ordered_pair(f11(u,intersection(f25,v)),f9(u,intersection(f25,v))),f26(f10(u,intersection(f25,v))))**. % 299.97/300.40 64272[0:Res:4628.1,34.1] || member(u,flip_range_of(cross_product(v,complement(w)))) member(second(ordered_pair(f12(u,cross_product(v,complement(w))),ordered_pair(f14(u,cross_product(v,complement(w))),f13(u,cross_product(v,complement(w)))))),w)* -> . % 299.97/300.40 64257[6:Res:4628.1,10804.1] || member(u,flip_range_of(cross_product(v,rotate_right(w)))) equal(second(ordered_pair(f12(u,cross_product(v,rotate_right(w))),ordered_pair(f14(u,cross_product(v,rotate_right(w))),f13(u,cross_product(v,rotate_right(w)))))),universal_set)** -> . % 299.97/300.40 64255[6:Res:4628.1,10803.1] || member(u,flip_range_of(cross_product(v,flip_range_of(w)))) equal(second(ordered_pair(f12(u,cross_product(v,flip_range_of(w))),ordered_pair(f14(u,cross_product(v,flip_range_of(w))),f13(u,cross_product(v,flip_range_of(w)))))),universal_set)** -> . % 299.97/300.40 64249[0:Res:4628.1,68.0] || member(u,flip_range_of(cross_product(v,w))) member(w,x) -> member(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),sigma(x))*. % 299.97/300.40 64248[0:Res:4628.1,98.0] || member(u,flip_range_of(cross_product(v,w))) member(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),x)* disjoint(x,w) -> . % 299.97/300.40 64379[0:Res:4627.1,34.1] || member(u,flip_range_of(cross_product(complement(v),w))) member(first(ordered_pair(f12(u,cross_product(complement(v),w)),ordered_pair(f14(u,cross_product(complement(v),w)),f13(u,cross_product(complement(v),w))))),v)* -> . % 299.97/300.40 64364[6:Res:4627.1,10804.1] || member(u,flip_range_of(cross_product(rotate_right(v),w))) equal(first(ordered_pair(f12(u,cross_product(rotate_right(v),w)),ordered_pair(f14(u,cross_product(rotate_right(v),w)),f13(u,cross_product(rotate_right(v),w))))),universal_set)** -> . % 299.97/300.40 64362[6:Res:4627.1,10803.1] || member(u,flip_range_of(cross_product(flip_range_of(v),w))) equal(first(ordered_pair(f12(u,cross_product(flip_range_of(v),w)),ordered_pair(f14(u,cross_product(flip_range_of(v),w)),f13(u,cross_product(flip_range_of(v),w))))),universal_set)** -> . % 299.97/300.40 64356[0:Res:4627.1,68.0] || member(u,flip_range_of(cross_product(v,w))) member(v,x) -> member(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),sigma(x))*. % 299.97/300.40 64355[0:Res:4627.1,98.0] || member(u,flip_range_of(cross_product(v,w))) member(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),x)* disjoint(x,v) -> . % 299.97/300.40 64528[0:Res:4776.1,34.1] || member(u,rotate_right(cross_product(v,complement(w)))) member(second(ordered_pair(f10(u,cross_product(v,complement(w))),ordered_pair(f11(u,cross_product(v,complement(w))),f9(u,cross_product(v,complement(w)))))),w)* -> . % 299.97/300.40 64513[6:Res:4776.1,10804.1] || member(u,rotate_right(cross_product(v,rotate_right(w)))) equal(second(ordered_pair(f10(u,cross_product(v,rotate_right(w))),ordered_pair(f11(u,cross_product(v,rotate_right(w))),f9(u,cross_product(v,rotate_right(w)))))),universal_set)** -> . % 299.97/300.40 64511[6:Res:4776.1,10803.1] || member(u,rotate_right(cross_product(v,flip_range_of(w)))) equal(second(ordered_pair(f10(u,cross_product(v,flip_range_of(w))),ordered_pair(f11(u,cross_product(v,flip_range_of(w))),f9(u,cross_product(v,flip_range_of(w)))))),universal_set)** -> . % 299.97/300.40 64505[0:Res:4776.1,68.0] || member(u,rotate_right(cross_product(v,w))) member(w,x) -> member(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),sigma(x))*. % 299.97/300.40 64504[0:Res:4776.1,98.0] || member(u,rotate_right(cross_product(v,w))) member(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),x)* disjoint(x,w) -> . % 299.97/300.40 64638[0:Res:4775.1,34.1] || member(u,rotate_right(cross_product(complement(v),w))) member(first(ordered_pair(f10(u,cross_product(complement(v),w)),ordered_pair(f11(u,cross_product(complement(v),w)),f9(u,cross_product(complement(v),w))))),v)* -> . % 299.97/300.40 64623[6:Res:4775.1,10804.1] || member(u,rotate_right(cross_product(rotate_right(v),w))) equal(first(ordered_pair(f10(u,cross_product(rotate_right(v),w)),ordered_pair(f11(u,cross_product(rotate_right(v),w)),f9(u,cross_product(rotate_right(v),w))))),universal_set)** -> . % 299.97/300.40 64621[6:Res:4775.1,10803.1] || member(u,rotate_right(cross_product(flip_range_of(v),w))) equal(first(ordered_pair(f10(u,cross_product(flip_range_of(v),w)),ordered_pair(f11(u,cross_product(flip_range_of(v),w)),f9(u,cross_product(flip_range_of(v),w))))),universal_set)** -> . % 299.97/300.40 64615[0:Res:4775.1,68.0] || member(u,rotate_right(cross_product(v,w))) member(v,x) -> member(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),sigma(x))*. % 299.97/300.40 64614[0:Res:4775.1,98.0] || member(u,rotate_right(cross_product(v,w))) member(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),x)* disjoint(x,v) -> . % 299.97/300.40 65881[0:SSi:65845.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f4(x,y),u),w)* member(x,first(y)) member(y,non_ordered_pair(v,w))* -> equal(u,f5(x,y)). % 299.97/300.40 65882[0:SSi:65844.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f4(x,y),u),v)* member(x,first(y)) member(y,non_ordered_pair(v,w))* -> equal(u,f5(x,y)). % 299.97/300.40 66002[0:SSi:65966.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f6(x,y),u),w)* member(x,second(y)) member(y,non_ordered_pair(v,w))* -> equal(u,f7(x,y)). % 299.97/300.40 66003[0:SSi:65965.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f6(x,y),u),v)* member(x,second(y)) member(y,non_ordered_pair(v,w))* -> equal(u,f7(x,y)). % 299.97/300.40 66099[0:SSi:66078.0,371.0] little_set(u) single_valued_set(complement(v)) || member(w,rotate_right(complement(v))) -> member(ordered_pair(f10(w,complement(v)),u),v)* equal(u,ordered_pair(f11(w,complement(v)),f9(w,complement(v))))*. % 299.97/300.40 66195[0:SSi:66174.0,371.0] little_set(u) single_valued_set(complement(v)) || member(w,flip_range_of(complement(v))) -> member(ordered_pair(f12(w,complement(v)),u),v)* equal(u,ordered_pair(f14(w,complement(v)),f13(w,complement(v))))*. % 299.97/300.40 66375[0:SSi:66296.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || equal(ordered_pair(u,v),non_ordered_pair(x,y))* member(ordered_pair(w,u),z)* -> member(ordered_pair(w,v),compose(z,ordered_pair(x,y)))*. % 299.97/300.40 66395[0:MRR:66345.0,66345.1,131.1,133.1] little_set(u) || member(v,compose(w,x)) subset(w,y) member(ordered_pair(u,f29(v,w,x)),z) -> member(ordered_pair(u,f31(v,w,x)),compose(z,y))*. % 299.97/300.40 66396[0:MRR:66343.0,66343.1,133.1,132.1] little_set(u) || member(v,compose(w,x)) subset(x,y) member(ordered_pair(u,f31(v,w,x)),z) -> member(ordered_pair(u,f30(v,w,x)),compose(z,y))*. % 299.97/300.40 66401[0:MRR:66272.0,66272.1,131.1,132.1] little_set(u) || member(v,compose(w,x)) member(v,y) member(ordered_pair(u,f29(v,w,x)),z) -> member(ordered_pair(u,f30(v,w,x)),compose(z,y))*. % 299.97/300.40 66647[0:SSi:66630.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),singleton_set(x))* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(ordered_pair(x,y)))*. % 299.97/300.40 66812[0:SSi:66790.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),singleton_set(x))* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(ordered_pair(x,y)))*. % 299.97/300.40 66942[3:SSi:66925.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),singleton_set(x))* equal(v,w)* member(ordered_pair(f2(w),u),y)* -> member(v,compose(y,ordered_pair(x,z)))*. % 299.97/300.40 67012[0:MRR:66998.0,5.0] || member(f1(u,intersection(v,complement(w))),v)* member(f1(u,intersection(v,complement(w))),u)* -> member(f1(u,intersection(v,complement(w))),w)* equal(u,intersection(v,complement(w))). % 299.97/300.40 67049[16:SoR:5209.0,56678.1] little_set(u) little_set(second(v)) single_valued_set(w) || member(v,converse(w)) member(ordered_pair(second(v),u),w)* equal(powerset(a),first(v)) -> equal(u,first(v)). % 299.97/300.40 67048[16:SoR:5209.0,56320.1] little_set(u) little_set(second(v)) single_valued_set(w) || member(v,converse(w)) member(ordered_pair(second(v),u),w)* equal(first(v),singleton_set(a)) -> equal(u,first(v)). % 299.97/300.40 67047[7:SoR:5209.0,32539.1] little_set(u) little_set(second(v)) single_valued_set(w) || member(v,converse(w)) member(ordered_pair(second(v),u),w)* equal(sigma(infinity),first(v)) -> equal(u,first(v)). % 299.97/300.40 67221[0:SSi:67180.0,371.0,371.0] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(non_ordered_pair(y,x)))*. % 299.97/300.40 67222[0:SSi:67179.0,371.0,371.0] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(non_ordered_pair(x,y)))*. % 299.97/300.40 67298[0:SSi:67267.0,371.0,371.0] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(non_ordered_pair(y,x)))*. % 299.97/300.40 67299[0:SSi:67266.0,371.0,371.0] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(non_ordered_pair(x,y)))*. % 299.97/300.40 67363[0:SSi:67332.0,371.0,371.0] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(non_ordered_pair(y,x)))*. % 299.97/300.40 67364[0:SSi:67331.0,371.0,371.0] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x)* member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(non_ordered_pair(x,y)))*. % 299.97/300.40 67433[0:SSi:67392.0,371.0,371.0] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(non_ordered_pair(y,x)))*. % 299.97/300.40 67434[0:SSi:67391.0,371.0,371.0] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(non_ordered_pair(x,y)))*. % 299.97/300.40 67893[0:SSi:67859.0,371.0] little_set(u) single_valued_set(complement(v)) || member(w,compose(x,y)) member(w,complement(v)) -> member(ordered_pair(f29(w,x,y),u),v)* equal(u,f30(w,x,y)). % 299.97/300.40 68135[2:Res:5257.5,25810.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(z,cross_product(f33(y,w,x,u,v),x1)))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68133[2:Res:5257.5,25950.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(restrict(f33(y,w,x,u,v),z),x1))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68132[2:Res:5257.5,26103.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(intersection(z,f33(y,w,x,u,v)),x1))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68131[2:Res:5257.5,25946.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(intersection(f33(y,w,x,u,v),z),x1))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68113[0:Res:5257.5,1444.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,singleton_set(z))* -> homomorphism(y,w,x,u,v) equal(f33(y,w,x,u,v),z)*. % 299.97/300.40 68112[0:Res:5257.5,76.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,powerset(z)) -> homomorphism(y,w,x,u,v) subset(f33(y,w,x,u,v),z)*. % 299.97/300.40 68238[2:Res:5302.5,25810.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(z,cross_product(f32(y,w,x,u,v),x1)))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68236[2:Res:5302.5,25950.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(restrict(f32(y,w,x,u,v),z),x1))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68235[2:Res:5302.5,26103.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(intersection(z,f32(y,w,x,u,v)),x1))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68234[2:Res:5302.5,25946.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(intersection(f32(y,w,x,u,v),z),x1))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68216[0:Res:5302.5,1444.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,singleton_set(z))* -> homomorphism(y,w,x,u,v) equal(f32(y,w,x,u,v),z)*. % 299.97/300.40 68215[0:Res:5302.5,76.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,powerset(z)) -> homomorphism(y,w,x,u,v) subset(f32(y,w,x,u,v),z)*. % 299.97/300.40 69117[0:Res:5256.5,15955.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,powerset(z)) -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),z)*. % 299.97/300.40 69175[0:MRR:69158.0,5259.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(complement(z),w) -> member(f33(y,w,x,u,v),z)* homomorphism(y,w,x,u,v). % 299.97/300.40 69323[0:Res:5301.5,15955.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,powerset(z)) -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),z)*. % 299.97/300.40 69412[0:MRR:69396.0,5304.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(complement(z),w) -> member(f32(y,w,x,u,v),z)* homomorphism(y,w,x,u,v). % 299.97/300.40 70189[0:MRR:70158.0,19.1] little_set(u) || member(v,first(w)) equal(u,ordered_pair(f5(v,w),w))* member(ordered_pair(f4(v,w),singleton_set(singleton_set(f5(v,w)))),x)* -> member(u,rotate_right(x))*. % 299.97/300.40 70267[0:MRR:70236.0,24.1] little_set(u) || member(v,second(w)) equal(u,ordered_pair(f7(v,w),w))* member(ordered_pair(f6(v,w),singleton_set(singleton_set(f7(v,w)))),x)* -> member(u,rotate_right(x))*. % 299.97/300.40 71822[16:Res:56196.1,5162.4] little_set(u) || equal(first(f27(v,w)),a) member(v,range_of(w)) member(f27(v,w),x)* equal(v,u)* -> member(u,image(ordered_pair(universal_set,y),x))*. % 299.97/300.40 71810[16:Res:56196.1,6057.3] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(ordered_pair(universal_set,x)))*. % 299.97/300.40 71809[16:Res:56196.1,5362.3] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),a)** member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(ordered_pair(universal_set,x)))*. % 299.97/300.40 71808[16:Res:56196.1,6056.3] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(ordered_pair(universal_set,x)))*. % 299.97/300.40 71807[16:Res:56196.1,5361.3] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),a)** member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(ordered_pair(universal_set,x)))*. % 299.97/300.40 71773[16:Res:56196.1,5226.4] little_set(u) single_valued_set(ordered_pair(universal_set,v)) || equal(ordered_pair(f6(w,x),u),a)** member(w,second(x)) member(x,ordered_pair(universal_set,v))* -> equal(u,f7(w,x)). % 299.97/300.40 71772[16:Res:56196.1,5225.4] little_set(u) single_valued_set(ordered_pair(universal_set,v)) || equal(ordered_pair(f4(w,x),u),a)** member(w,first(x)) member(x,ordered_pair(universal_set,v))* -> equal(u,f5(w,x)). % 299.97/300.40 78814[16:Res:1464.2,56189.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(x))* -> equal(ordered_pair(second(f28(u,v,w)),w),a) little_set(f26(ordered_pair(second(f28(u,v,w)),w)))*. % 299.97/300.40 78813[16:Res:1468.2,56189.0] || member(u,image(v,w)) member(f22(u,v,w),converse(x))* -> equal(ordered_pair(u,first(f22(u,v,w))),a) little_set(f26(ordered_pair(u,first(f22(u,v,w)))))*. % 299.97/300.40 82849[16:Res:82637.1,5300.3] || equal(f32(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(set_b,v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 82848[16:Res:82637.1,5255.3] || equal(f33(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(set_b,v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 82795[16:Res:82637.1,5236.4] little_set(u) single_valued_set(set_b) || equal(ordered_pair(f9(v,w),u),a)** member(v,rotate_right(w)) member(v,set_b) -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 299.97/300.40 82794[16:Res:82637.1,5238.4] little_set(u) single_valued_set(set_b) || equal(ordered_pair(f12(v,w),u),a)** member(v,flip_range_of(w)) member(v,set_b) -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 299.97/300.40 82762[16:Res:82637.1,5313.3] || equal(f32(u,complement(set_b),v,w,x),a)** closed(w,x) closed(complement(set_b),v) maps(u,complement(set_b),w) -> homomorphism(u,complement(set_b),v,w,x). % 299.97/300.40 82761[16:Res:82637.1,5268.3] || equal(f33(u,complement(set_b),v,w,x),a)** closed(w,x) closed(complement(set_b),v) maps(u,complement(set_b),w) -> homomorphism(u,complement(set_b),v,w,x). % 299.97/300.40 83002[3:Res:82638.1,5300.3] || equal(f32(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(set_a,v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 83001[3:Res:82638.1,5255.3] || equal(f33(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(set_a,v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 82948[3:Res:82638.1,5236.4] little_set(u) single_valued_set(set_a) || equal(ordered_pair(f9(v,w),u),a)** member(v,rotate_right(w)) member(v,set_a) -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 299.97/300.40 82947[3:Res:82638.1,5238.4] little_set(u) single_valued_set(set_a) || equal(ordered_pair(f12(v,w),u),a)** member(v,flip_range_of(w)) member(v,set_a) -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 299.97/300.40 82915[3:Res:82638.1,5313.3] || equal(f32(u,complement(set_a),v,w,x),a)** closed(w,x) closed(complement(set_a),v) maps(u,complement(set_a),w) -> homomorphism(u,complement(set_a),v,w,x). % 299.97/300.40 82914[3:Res:82638.1,5268.3] || equal(f33(u,complement(set_a),v,w,x),a)** closed(w,x) closed(complement(set_a),v) maps(u,complement(set_a),w) -> homomorphism(u,complement(set_a),v,w,x). % 299.97/300.40 83157[16:Res:82641.1,5300.3] || equal(f32(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(infinity,v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 83156[16:Res:82641.1,5255.3] || equal(f33(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(infinity,v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 83102[16:Res:82641.1,5236.4] little_set(u) single_valued_set(infinity) || equal(ordered_pair(f9(v,w),u),a)** member(v,rotate_right(w)) member(v,infinity) -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 299.97/300.40 83101[16:Res:82641.1,5238.4] little_set(u) single_valued_set(infinity) || equal(ordered_pair(f12(v,w),u),a)** member(v,flip_range_of(w)) member(v,infinity) -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 299.97/300.40 83069[16:Res:82641.1,5313.3] || equal(f32(u,complement(infinity),v,w,x),a)** closed(w,x) closed(complement(infinity),v) maps(u,complement(infinity),w) -> homomorphism(u,complement(infinity),v,w,x). % 299.97/300.40 83068[16:Res:82641.1,5268.3] || equal(f33(u,complement(infinity),v,w,x),a)** closed(w,x) closed(complement(infinity),v) maps(u,complement(infinity),w) -> homomorphism(u,complement(infinity),v,w,x). % 299.97/300.40 86919[16:Res:82653.1,6233.0] || equal(second(f1(u,cross_product(v,universal_set))),powerset(a)) member(first(f1(u,cross_product(v,universal_set))),v)* member(f1(u,cross_product(v,universal_set)),u)* -> equal(u,cross_product(v,universal_set)). % 299.97/300.40 87105[16:Res:82654.1,6233.0] || equal(second(f1(u,cross_product(v,universal_set))),singleton_set(a)) member(first(f1(u,cross_product(v,universal_set))),v)* member(f1(u,cross_product(v,universal_set)),u)* -> equal(u,cross_product(v,universal_set)). % 299.97/300.40 87292[7:Res:82656.1,6233.0] || equal(second(f1(u,cross_product(v,universal_set))),sigma(infinity)) member(first(f1(u,cross_product(v,universal_set))),v)* member(f1(u,cross_product(v,universal_set)),u)* -> equal(u,cross_product(v,universal_set)). % 299.97/300.40 88910[16:Res:378.3,57904.0] ordered_pair_predicate(complement(sigma(cross_product(u,v)))) || member(second(complement(sigma(cross_product(u,v)))),v)* member(first(complement(sigma(cross_product(u,v)))),u)* -> equal(complement(sigma(cross_product(u,v))),a). % 299.97/300.40 89297[0:Res:4279.1,14370.1] || member(u,compose(v,cross_product(w,converse(complement(x))))) member(second(ordered_pair(f31(u,v,cross_product(w,converse(complement(x)))),f30(u,v,cross_product(w,converse(complement(x)))))),converse(x))* -> . % 299.97/300.40 89290[0:Res:4278.1,14370.1] || member(u,compose(v,cross_product(converse(complement(w)),x))) member(first(ordered_pair(f31(u,v,cross_product(converse(complement(w)),x)),f30(u,v,cross_product(converse(complement(w)),x)))),converse(w))* -> . % 299.97/300.40 89280[0:Res:4353.1,14370.1] || member(u,compose(cross_product(converse(complement(v)),w),x)) member(first(ordered_pair(f29(u,cross_product(converse(complement(v)),w),x),f31(u,cross_product(converse(complement(v)),w),x))),converse(v))* -> . % 299.97/300.40 89218[0:Res:4354.1,14370.1] || member(u,compose(cross_product(v,converse(complement(w))),x)) member(second(ordered_pair(f29(u,cross_product(v,converse(complement(w))),x),f31(u,cross_product(v,converse(complement(w))),x))),converse(w))* -> . % 299.97/300.40 97039[0:Res:21407.1,4457.3] ordered_pair_predicate(cross_product(u,v)) ordered_pair_predicate(w) || member(second(w),v) member(first(w),u) -> member(w,sigma(converse(powerset(ordered_pair(second(cross_product(u,v)),first(cross_product(u,v)))))))*. % 299.97/300.40 97114[0:SSi:97028.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,u),x) -> member(ordered_pair(w,v),compose(x,converse(powerset(ordered_pair(second(ordered_pair(u,v)),first(ordered_pair(u,v)))))))*. % 299.97/300.40 97119[3:SSi:97026.0,5742.0,371.1] || member(u,compose(v,w)) disjoint(converse(powerset(ordered_pair(second(ordered_pair(f29(u,v,w),f31(u,v,w))),first(ordered_pair(f29(u,v,w),f31(u,v,w)))))),v)* -> . % 299.97/300.40 97120[3:SSi:97025.0,5742.0,371.1] || member(u,compose(v,w)) disjoint(converse(powerset(ordered_pair(second(ordered_pair(f31(u,v,w),f30(u,v,w))),first(ordered_pair(f31(u,v,w),f30(u,v,w)))))),w)* -> . % 299.97/300.40 97763[0:Res:4286.1,2899.0] || member(u,compose(v,intersection(w,domain_of(singleton_set(x))))) -> equal(f8(ordered_pair(f31(u,v,intersection(w,domain_of(singleton_set(x)))),f30(u,v,intersection(w,domain_of(singleton_set(x))))),singleton_set(x)),x)**. % 299.97/300.40 97728[0:Res:4361.1,2899.0] || member(u,compose(intersection(v,domain_of(singleton_set(w))),x)) -> equal(f8(ordered_pair(f29(u,intersection(v,domain_of(singleton_set(w))),x),f31(u,intersection(v,domain_of(singleton_set(w))),x)),singleton_set(w)),w)**. % 299.97/300.40 97721[0:Res:4285.1,2899.0] || member(u,compose(v,intersection(domain_of(singleton_set(w)),x))) -> equal(f8(ordered_pair(f31(u,v,intersection(domain_of(singleton_set(w)),x)),f30(u,v,intersection(domain_of(singleton_set(w)),x))),singleton_set(w)),w)**. % 299.97/300.40 97711[0:Res:4360.1,2899.0] || member(u,compose(intersection(domain_of(singleton_set(v)),w),x)) -> equal(f8(ordered_pair(f29(u,intersection(domain_of(singleton_set(v)),w),x),f31(u,intersection(domain_of(singleton_set(v)),w),x)),singleton_set(v)),v)**. % 299.97/300.40 98000[0:Res:4286.1,2938.0] || member(u,compose(v,intersection(w,sigma(singleton_set(x))))) -> equal(f16(ordered_pair(f31(u,v,intersection(w,sigma(singleton_set(x)))),f30(u,v,intersection(w,sigma(singleton_set(x))))),singleton_set(x)),x)**. % 299.97/300.40 97941[0:Res:4361.1,2938.0] || member(u,compose(intersection(v,sigma(singleton_set(w))),x)) -> equal(f16(ordered_pair(f29(u,intersection(v,sigma(singleton_set(w))),x),f31(u,intersection(v,sigma(singleton_set(w))),x)),singleton_set(w)),w)**. % 299.97/300.40 97934[0:Res:4285.1,2938.0] || member(u,compose(v,intersection(sigma(singleton_set(w)),x))) -> equal(f16(ordered_pair(f31(u,v,intersection(sigma(singleton_set(w)),x)),f30(u,v,intersection(sigma(singleton_set(w)),x))),singleton_set(w)),w)**. % 299.97/300.40 97924[0:Res:4360.1,2938.0] || member(u,compose(intersection(sigma(singleton_set(v)),w),x)) -> equal(f16(ordered_pair(f29(u,intersection(sigma(singleton_set(v)),w),x),f31(u,intersection(sigma(singleton_set(v)),w),x)),singleton_set(v)),v)**. % 299.97/300.40 98219[0:Res:4286.1,2959.0] || member(u,compose(v,intersection(w,range_of(singleton_set(x))))) -> equal(f27(ordered_pair(f31(u,v,intersection(w,range_of(singleton_set(x)))),f30(u,v,intersection(w,range_of(singleton_set(x))))),singleton_set(x)),x)**. % 299.97/300.40 98184[0:Res:4361.1,2959.0] || member(u,compose(intersection(v,range_of(singleton_set(w))),x)) -> equal(f27(ordered_pair(f29(u,intersection(v,range_of(singleton_set(w))),x),f31(u,intersection(v,range_of(singleton_set(w))),x)),singleton_set(w)),w)**. % 299.97/300.40 98177[0:Res:4285.1,2959.0] || member(u,compose(v,intersection(range_of(singleton_set(w)),x))) -> equal(f27(ordered_pair(f31(u,v,intersection(range_of(singleton_set(w)),x)),f30(u,v,intersection(range_of(singleton_set(w)),x))),singleton_set(w)),w)**. % 299.97/300.40 98167[0:Res:4360.1,2959.0] || member(u,compose(intersection(range_of(singleton_set(v)),w),x)) -> equal(f27(ordered_pair(f29(u,intersection(range_of(singleton_set(v)),w),x),f31(u,intersection(range_of(singleton_set(v)),w),x)),singleton_set(v)),v)**. % 299.97/300.40 99506[3:SSi:99362.0,5742.0,371.1] little_set(u) single_valued_set(converse(complement(v))) || member(w,second(x)) member(x,converse(complement(v))) -> member(ordered_pair(f6(w,x),u),converse(v))* equal(u,f7(w,x)). % 299.97/300.40 99507[3:SSi:99361.0,5742.0,371.1] little_set(u) single_valued_set(converse(complement(v))) || member(w,first(x)) member(x,converse(complement(v))) -> member(ordered_pair(f4(w,x),u),converse(v))* equal(u,f5(w,x)). % 299.97/300.40 99520[3:SSi:99401.0,5742.0,371.0,371.1] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* -> member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),converse(x))* member(u,flip_range_of(converse(complement(x))))*. % 299.97/300.40 99521[3:SSi:99400.0,5742.0,371.0,371.1] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* -> member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),converse(x))* member(u,rotate_right(converse(complement(x))))*. % 299.97/300.40 99522[3:SSi:99399.0,5742.0,371.0,371.1] little_set(u) || member(v,rotate_right(w)) equal(u,v)* -> member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),converse(x))* member(u,flip_range_of(converse(complement(x))))*. % 299.97/300.40 99523[3:SSi:99398.0,5742.0,371.0,371.1] little_set(u) || member(v,rotate_right(w)) equal(u,v)* -> member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),converse(x))* member(u,rotate_right(converse(complement(x))))*. % 299.97/300.40 99636[3:Res:22366.2,18198.1] ordered_pair_predicate(u) ordered_pair_predicate(v) || member(second(ordered_pair(second(v),first(v))),f2(u))* member(first(ordered_pair(second(v),first(v))),w)* -> member(v,converse(cross_product(w,first(u))))*. % 299.97/300.40 99830[3:Res:22612.2,18198.1] ordered_pair_predicate(u) ordered_pair_predicate(v) || member(second(ordered_pair(second(v),first(v))),f3(u))* member(first(ordered_pair(second(v),first(v))),w)* -> member(v,converse(cross_product(w,second(u))))*. % 299.97/300.40 100005[16:Res:59019.2,1441.0] || subset(u,converse(non_ordered_pair(v,w)))* -> equal(u,a) equal(ordered_pair(second(f1(u,a)),first(f1(u,a))),w)* equal(ordered_pair(second(f1(u,a)),first(f1(u,a))),v)*. % 299.97/300.40 100618[16:Res:59021.2,1441.0] || subset(u,converse(non_ordered_pair(v,w)))* -> equal(a,u) equal(ordered_pair(second(f1(a,u)),first(f1(a,u))),w)* equal(ordered_pair(second(f1(a,u)),first(f1(a,u))),v)*. % 299.97/300.40 101748[16:Res:57867.1,1558.0] || disjoint(complement(image(non_ordered_pair(u,v),w)),x) -> equal(x,a) equal(first(f22(f24(x),non_ordered_pair(u,v),w)),v)** equal(first(f22(f24(x),non_ordered_pair(u,v),w)),u)**. % 299.97/300.40 102180[3:SoR:6223.0,13294.1] || member(f23(cross_product(u,v),w),x) member(first(f23(cross_product(u,v),w)),y) -> member(second(f23(cross_product(u,v),w)),image(y,x))* disjoint(cross_product(u,v),w). % 299.97/300.40 102297[3:SoR:6223.0,13337.1] || member(f23(u,cross_product(v,w)),x) member(first(f23(u,cross_product(v,w))),y) -> member(second(f23(u,cross_product(v,w))),image(y,x))* disjoint(u,cross_product(v,w)). % 299.97/300.40 102843[3:SoR:6223.0,13630.1] || member(f17(cross_product(u,v),w),x) member(first(f17(cross_product(u,v),w)),y) -> member(second(f17(cross_product(u,v),w)),image(y,x))* subset(cross_product(u,v),w). % 299.97/300.40 103645[0:Res:136.1,16184.0] || member(u,compose(v,domain_of(intersection(cross_product(w,x),y)))) -> member(ordered_pair(f31(u,v,domain_of(intersection(cross_product(w,x),y))),f30(u,v,domain_of(intersection(cross_product(w,x),y)))),w)*. % 299.97/300.40 103635[0:Res:135.1,16184.0] || member(u,compose(domain_of(intersection(cross_product(v,w),x)),y)) -> member(ordered_pair(f29(u,domain_of(intersection(cross_product(v,w),x)),y),f31(u,domain_of(intersection(cross_product(v,w),x)),y)),v)*. % 299.97/300.40 103887[0:Res:136.1,16416.0] || member(u,compose(v,domain_of(intersection(w,cross_product(x,y))))) -> member(ordered_pair(f31(u,v,domain_of(intersection(w,cross_product(x,y)))),f30(u,v,domain_of(intersection(w,cross_product(x,y))))),x)*. % 299.97/300.40 103877[0:Res:135.1,16416.0] || member(u,compose(domain_of(intersection(v,cross_product(w,x))),y)) -> member(ordered_pair(f29(u,domain_of(intersection(v,cross_product(w,x))),y),f31(u,domain_of(intersection(v,cross_product(w,x))),y)),w)*. % 299.97/300.40 104132[0:Res:136.1,17439.0] || member(u,compose(v,range_of(intersection(cross_product(w,x),y)))) -> member(ordered_pair(f31(u,v,range_of(intersection(cross_product(w,x),y))),f30(u,v,range_of(intersection(cross_product(w,x),y)))),x)*. % 299.97/300.40 104122[0:Res:135.1,17439.0] || member(u,compose(range_of(intersection(cross_product(v,w),x)),y)) -> member(ordered_pair(f29(u,range_of(intersection(cross_product(v,w),x)),y),f31(u,range_of(intersection(cross_product(v,w),x)),y)),w)*. % 299.97/300.40 104409[0:Res:136.1,17546.0] || member(u,compose(v,range_of(intersection(w,cross_product(x,y))))) -> member(ordered_pair(f31(u,v,range_of(intersection(w,cross_product(x,y)))),f30(u,v,range_of(intersection(w,cross_product(x,y))))),y)*. % 299.97/300.40 104399[0:Res:135.1,17546.0] || member(u,compose(range_of(intersection(v,cross_product(w,x))),y)) -> member(ordered_pair(f29(u,range_of(intersection(v,cross_product(w,x))),y),f31(u,range_of(intersection(v,cross_product(w,x))),y)),x)*. % 299.97/300.40 104774[0:SSi:104635.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,second(y)) member(y,union(v,w))* -> member(ordered_pair(f6(x,y),u),complement(v))* equal(u,f7(x,y)). % 299.97/300.40 104775[0:SSi:104634.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,first(y)) member(y,union(v,w))* -> member(ordered_pair(f4(x,y),u),complement(v))* equal(u,f5(x,y)). % 299.97/300.40 104788[0:SSi:104674.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* -> member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),complement(x))* member(u,flip_range_of(union(x,y)))*. % 299.97/300.40 104789[0:SSi:104673.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* -> member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),complement(x))* member(u,rotate_right(union(x,y)))*. % 299.97/300.40 104790[0:SSi:104672.0,371.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,v)* -> member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),complement(x))* member(u,flip_range_of(union(x,y)))*. % 299.97/300.40 104791[0:SSi:104671.0,371.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,v)* -> member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),complement(x))* member(u,rotate_right(union(x,y)))*. % 299.97/300.40 105120[0:SSi:104979.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,second(y)) member(y,union(v,w))* -> member(ordered_pair(f6(x,y),u),complement(w))* equal(u,f7(x,y)). % 299.97/300.40 105121[0:SSi:104978.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,first(y)) member(y,union(v,w))* -> member(ordered_pair(f4(x,y),u),complement(w))* equal(u,f5(x,y)). % 299.97/300.40 105134[0:SSi:105018.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* -> member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),complement(x))* member(u,flip_range_of(union(y,x)))*. % 299.97/300.40 105135[0:SSi:105017.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* -> member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),complement(x))* member(u,rotate_right(union(y,x)))*. % 299.97/300.40 105136[0:SSi:105016.0,371.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,v)* -> member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),complement(x))* member(u,flip_range_of(union(y,x)))*. % 299.97/300.40 105137[0:SSi:105015.0,371.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,v)* -> member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),complement(x))* member(u,rotate_right(union(y,x)))*. % 299.97/300.40 105346[0:Res:3842.1,26698.0] || -> equal(intersection(u,v),apply(cross_product(w,x),y)) member(f1(intersection(u,v),apply(cross_product(w,x),y)),u)* member(f1(intersection(u,v),apply(cross_product(w,x),y)),sigma(x))*. % 299.97/300.40 105345[0:Res:3843.1,26698.0] || -> equal(intersection(u,v),apply(cross_product(w,x),y)) member(f1(intersection(u,v),apply(cross_product(w,x),y)),v)* member(f1(intersection(u,v),apply(cross_product(w,x),y)),sigma(x))*. % 299.97/300.40 105344[0:Res:3825.2,26698.0] || -> equal(u,intersection(v,apply(cross_product(w,x),y))) member(f1(u,intersection(v,apply(cross_product(w,x),y))),u)* member(f1(u,intersection(v,apply(cross_product(w,x),y))),sigma(x))*. % 299.97/300.40 105308[0:Res:3843.2,26698.0] || -> equal(intersection(u,apply(cross_product(v,w),x)),y) member(f1(intersection(u,apply(cross_product(v,w),x)),y),y)* member(f1(intersection(u,apply(cross_product(v,w),x)),y),sigma(w))*. % 299.97/300.40 105304[0:Res:3824.2,26698.0] || -> equal(u,intersection(apply(cross_product(v,w),x),y)) member(f1(u,intersection(apply(cross_product(v,w),x),y)),u)* member(f1(u,intersection(apply(cross_product(v,w),x),y)),sigma(w))*. % 299.97/300.40 105258[0:Res:3842.2,26698.0] || -> equal(intersection(apply(cross_product(u,v),w),x),y) member(f1(intersection(apply(cross_product(u,v),w),x),y),y)* member(f1(intersection(apply(cross_product(u,v),w),x),y),sigma(v))*. % 299.97/300.40 105252[0:Res:3824.1,26698.0] || -> equal(apply(cross_product(u,v),w),intersection(x,y)) member(f1(apply(cross_product(u,v),w),intersection(x,y)),x)* member(f1(apply(cross_product(u,v),w),intersection(x,y)),sigma(v))*. % 299.97/300.40 105251[0:Res:3825.1,26698.0] || -> equal(apply(cross_product(u,v),w),intersection(x,y)) member(f1(apply(cross_product(u,v),w),intersection(x,y)),y)* member(f1(apply(cross_product(u,v),w),intersection(x,y)),sigma(v))*. % 299.97/300.40 7900[3:Res:136.1,6176.0] || member(u,compose(v,converse(w))) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f31(u,v,converse(w)),f30(u,v,converse(w)))),first(ordered_pair(f31(u,v,converse(w)),f30(u,v,converse(w))))))*. % 299.97/300.40 7897[3:Res:135.1,6176.0] || member(u,compose(converse(v),w)) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f29(u,converse(v),w),f31(u,converse(v),w))),first(ordered_pair(f29(u,converse(v),w),f31(u,converse(v),w)))))*. % 299.97/300.40 12049[0:Res:33.2,258.0] || member(ordered_pair(f19(complement(intersection(u,v))),f21(complement(intersection(u,v)))),v)* member(ordered_pair(f19(complement(intersection(u,v))),f21(complement(intersection(u,v)))),u)* -> single_valued_set(complement(intersection(u,v))). % 299.97/300.40 12119[0:Res:33.2,259.0] || member(ordered_pair(f19(complement(intersection(u,v))),f20(complement(intersection(u,v)))),v)* member(ordered_pair(f19(complement(intersection(u,v))),f20(complement(intersection(u,v)))),u)* -> single_valued_set(complement(intersection(u,v))). % 299.97/300.40 16081[0:SSi:16055.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(ordered_pair(x,y)) || equal(ordered_pair(w,u),non_ordered_pair(x,y))* member(ordered_pair(w,v),ordered_pair(x,y))* -> equal(v,u)*. % 299.97/300.40 17906[0:Res:86.1,1014.0] || -> single_valued_set(converse(cross_product(u,v))) member(first(ordered_pair(second(ordered_pair(f19(converse(cross_product(u,v))),f20(converse(cross_product(u,v))))),first(ordered_pair(f19(converse(cross_product(u,v))),f20(converse(cross_product(u,v))))))),u)*. % 299.97/300.40 17905[0:Res:87.1,1014.0] || -> single_valued_set(converse(cross_product(u,v))) member(first(ordered_pair(second(ordered_pair(f19(converse(cross_product(u,v))),f21(converse(cross_product(u,v))))),first(ordered_pair(f19(converse(cross_product(u,v))),f21(converse(cross_product(u,v))))))),u)*. % 299.97/300.40 18030[0:Res:86.1,1015.0] || -> single_valued_set(converse(cross_product(u,v))) member(second(ordered_pair(second(ordered_pair(f19(converse(cross_product(u,v))),f20(converse(cross_product(u,v))))),first(ordered_pair(f19(converse(cross_product(u,v))),f20(converse(cross_product(u,v))))))),v)*. % 299.97/300.40 18029[0:Res:87.1,1015.0] || -> single_valued_set(converse(cross_product(u,v))) member(second(ordered_pair(second(ordered_pair(f19(converse(cross_product(u,v))),f21(converse(cross_product(u,v))))),first(ordered_pair(f19(converse(cross_product(u,v))),f21(converse(cross_product(u,v))))))),v)*. % 299.97/300.40 18188[0:Res:4115.1,82.4] ordered_pair_predicate(u) little_set(first(u)) little_set(v) little_set(second(u)) single_valued_set(w) || member(ordered_pair(second(u),v),w)* -> member(u,converse(complement(w))) equal(v,first(u)). % 299.97/300.40 19574[0:Res:546.1,1020.0] || member(u,domain_of(cross_product(v,converse(intersection(w,x))))) -> member(ordered_pair(second(second(f8(u,cross_product(v,converse(intersection(w,x)))))),first(second(f8(u,cross_product(v,converse(intersection(w,x))))))),w)*. % 299.97/300.40 19573[0:Res:546.1,1021.0] || member(u,domain_of(cross_product(v,converse(intersection(w,x))))) -> member(ordered_pair(second(second(f8(u,cross_product(v,converse(intersection(w,x)))))),first(second(f8(u,cross_product(v,converse(intersection(w,x))))))),x)*. % 299.97/300.40 20659[0:Res:545.1,1020.0] || member(u,sigma(cross_product(v,converse(intersection(w,x))))) -> member(ordered_pair(second(second(f16(u,cross_product(v,converse(intersection(w,x)))))),first(second(f16(u,cross_product(v,converse(intersection(w,x))))))),w)*. % 299.97/300.40 20658[0:Res:545.1,1021.0] || member(u,sigma(cross_product(v,converse(intersection(w,x))))) -> member(ordered_pair(second(second(f16(u,cross_product(v,converse(intersection(w,x)))))),first(second(f16(u,cross_product(v,converse(intersection(w,x))))))),x)*. % 299.97/300.40 20767[0:Res:558.1,1020.0] || member(u,sigma(cross_product(converse(intersection(v,w)),x))) -> member(ordered_pair(second(first(f16(u,cross_product(converse(intersection(v,w)),x)))),first(first(f16(u,cross_product(converse(intersection(v,w)),x))))),v)*. % 299.97/300.40 20766[0:Res:558.1,1021.0] || member(u,sigma(cross_product(converse(intersection(v,w)),x))) -> member(ordered_pair(second(first(f16(u,cross_product(converse(intersection(v,w)),x)))),first(first(f16(u,cross_product(converse(intersection(v,w)),x))))),w)*. % 299.97/300.40 20902[0:Res:557.1,1020.0] || member(u,range_of(cross_product(converse(intersection(v,w)),x))) -> member(ordered_pair(second(first(f27(u,cross_product(converse(intersection(v,w)),x)))),first(first(f27(u,cross_product(converse(intersection(v,w)),x))))),v)*. % 299.97/300.40 20901[0:Res:557.1,1021.0] || member(u,range_of(cross_product(converse(intersection(v,w)),x))) -> member(ordered_pair(second(first(f27(u,cross_product(converse(intersection(v,w)),x)))),first(first(f27(u,cross_product(converse(intersection(v,w)),x))))),w)*. % 299.97/300.40 21454[3:Res:540.1,6176.0] || -> single_valued_set(cross_product(u,converse(v))) ordered_pair_predicate(ordered_pair(second(second(ordered_pair(f19(cross_product(u,converse(v))),f21(cross_product(u,converse(v)))))),first(second(ordered_pair(f19(cross_product(u,converse(v))),f21(cross_product(u,converse(v))))))))*. % 299.97/300.40 21614[3:Res:541.1,6176.0] || -> single_valued_set(cross_product(u,converse(v))) ordered_pair_predicate(ordered_pair(second(second(ordered_pair(f19(cross_product(u,converse(v))),f20(cross_product(u,converse(v)))))),first(second(ordered_pair(f19(cross_product(u,converse(v))),f20(cross_product(u,converse(v))))))))*. % 299.97/300.40 21693[3:Res:553.1,6176.0] || -> single_valued_set(cross_product(converse(u),v)) ordered_pair_predicate(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(u),v)),f21(cross_product(converse(u),v))))),first(first(ordered_pair(f19(cross_product(converse(u),v)),f21(cross_product(converse(u),v)))))))*. % 299.97/300.40 21782[3:Res:554.1,6176.0] || -> single_valued_set(cross_product(converse(u),v)) ordered_pair_predicate(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(u),v)),f20(cross_product(converse(u),v))))),first(first(ordered_pair(f19(cross_product(converse(u),v)),f20(cross_product(converse(u),v)))))))*. % 299.97/300.40 22161[0:Res:3651.2,1554.1] || member(first(f22(u,complement(restrict(v,w)),x)),cross_product(w,universal_set))* member(first(f22(u,complement(restrict(v,w)),x)),v)* member(u,image(complement(restrict(v,w)),x)) -> . % 299.97/300.40 22181[3:MRR:22148.0,6177.1] || member(second(first(f22(u,complement(cross_product(v,w)),x))),w)* member(first(first(f22(u,complement(cross_product(v,w)),x))),v)* member(u,image(complement(cross_product(v,w)),x)) -> . % 299.97/300.40 22833[0:Res:3821.1,1421.0] || -> equal(ordered_pair(u,v),powerset(w)) subset(f1(ordered_pair(u,v),powerset(w)),w)* equal(f1(ordered_pair(u,v),powerset(w)),non_ordered_pair(u,v)) equal(f1(ordered_pair(u,v),powerset(w)),singleton_set(u)). % 299.97/300.40 22928[0:Res:3839.1,1421.0] || -> equal(powerset(u),ordered_pair(v,w)) subset(f1(powerset(u),ordered_pair(v,w)),u)* equal(f1(powerset(u),ordered_pair(v,w)),non_ordered_pair(v,w)) equal(f1(powerset(u),ordered_pair(v,w)),singleton_set(v)). % 299.97/300.40 23197[0:Res:1350.1,1421.0] || member(u,image(v,intersection(ordered_pair(w,x),y)))* -> equal(f22(u,v,intersection(ordered_pair(w,x),y)),non_ordered_pair(w,x)) equal(f22(u,v,intersection(ordered_pair(w,x),y)),singleton_set(w)). % 299.97/300.40 23282[0:Res:1351.1,1421.0] || member(u,image(v,intersection(w,ordered_pair(x,y))))* -> equal(f22(u,v,intersection(w,ordered_pair(x,y))),non_ordered_pair(x,y)) equal(f22(u,v,intersection(w,ordered_pair(x,y))),singleton_set(x)). % 299.97/300.40 23367[0:Res:1285.1,1421.0] || member(u,apply(intersection(ordered_pair(v,w),x),y))* -> equal(f28(u,intersection(ordered_pair(v,w),x),y),non_ordered_pair(v,w)) equal(f28(u,intersection(ordered_pair(v,w),x),y),singleton_set(v)). % 299.97/300.40 23468[0:Res:1286.1,1421.0] || member(u,apply(intersection(v,ordered_pair(w,x)),y))* -> equal(f28(u,intersection(v,ordered_pair(w,x)),y),non_ordered_pair(w,x)) equal(f28(u,intersection(v,ordered_pair(w,x)),y),singleton_set(w)). % 299.97/300.40 28014[0:Res:378.3,3653.2] ordered_pair_predicate(intersection(u,v)) || member(second(intersection(u,v)),w)* member(first(intersection(u,v)),x)* member(y,v)* member(y,u)* -> member(y,sigma(cross_product(x,w)))*. % 299.97/300.40 28620[0:Res:1274.2,3811.0] || member(u,apply(v,w)) subset(v,x) -> equal(y,f28(u,v,w)) member(f1(y,f28(u,v,w)),y)* member(f1(y,f28(u,v,w)),sigma(x))*. % 299.97/300.40 28618[0:Res:1339.2,3811.0] || member(u,image(v,w)) subset(w,x) -> equal(y,f22(u,v,w)) member(f1(y,f22(u,v,w)),y)* member(f1(y,f22(u,v,w)),sigma(x))*. % 299.97/300.40 28587[0:Res:1152.2,3811.0] || member(u,v) -> single_valued_set(u) equal(w,ordered_pair(f19(u),f20(u))) member(f1(w,ordered_pair(f19(u),f20(u))),w)* member(f1(w,ordered_pair(f19(u),f20(u))),sigma(sigma(v)))*. % 299.97/300.40 28586[0:Res:1151.2,3811.0] || member(u,v) -> single_valued_set(u) equal(w,ordered_pair(f19(u),f21(u))) member(f1(w,ordered_pair(f19(u),f21(u))),w)* member(f1(w,ordered_pair(f19(u),f21(u))),sigma(sigma(v)))*. % 299.97/300.40 28545[0:Res:427.1,3811.0] || member(u,range_of(intersection(v,w))) -> equal(x,f27(u,intersection(v,w))) member(f1(x,f27(u,intersection(v,w))),x)* member(f1(x,f27(u,intersection(v,w))),sigma(w))*. % 299.97/300.40 28543[0:Res:456.1,3811.0] || member(u,sigma(intersection(v,w))) -> equal(x,f16(u,intersection(v,w))) member(f1(x,f16(u,intersection(v,w))),x)* member(f1(x,f16(u,intersection(v,w))),sigma(w))*. % 299.97/300.40 28541[0:Res:494.1,3811.0] || member(u,domain_of(intersection(v,w))) -> equal(x,f8(u,intersection(v,w))) member(f1(x,f8(u,intersection(v,w))),x)* member(f1(x,f8(u,intersection(v,w))),sigma(w))*. % 299.97/300.40 28520[0:Res:3839.1,3811.0] || -> equal(powerset(u),v) subset(f1(powerset(u),v),u)* equal(w,f1(powerset(u),v)) member(f1(w,f1(powerset(u),v)),w)* member(f1(w,f1(powerset(u),v)),sigma(v))*. % 299.97/300.40 28516[0:Res:426.1,3811.0] || member(u,range_of(intersection(v,w))) -> equal(x,f27(u,intersection(v,w))) member(f1(x,f27(u,intersection(v,w))),x)* member(f1(x,f27(u,intersection(v,w))),sigma(v))*. % 299.97/300.40 28514[0:Res:455.1,3811.0] || member(u,sigma(intersection(v,w))) -> equal(x,f16(u,intersection(v,w))) member(f1(x,f16(u,intersection(v,w))),x)* member(f1(x,f16(u,intersection(v,w))),sigma(v))*. % 299.97/300.40 28512[0:Res:493.1,3811.0] || member(u,domain_of(intersection(v,w))) -> equal(x,f8(u,intersection(v,w))) member(f1(x,f8(u,intersection(v,w))),x)* member(f1(x,f8(u,intersection(v,w))),sigma(v))*. % 299.97/300.40 28442[0:Res:3821.1,3811.0] || -> equal(u,powerset(v)) subset(f1(u,powerset(v)),v)* equal(w,f1(u,powerset(v))) member(f1(w,f1(u,powerset(v))),w)* member(f1(w,f1(u,powerset(v))),sigma(u))*. % 299.97/300.40 28999[0:Res:1274.2,3829.0] || member(u,apply(v,w)) subset(v,x) -> equal(f28(u,v,w),y) member(f1(f28(u,v,w),y),y)* member(f1(f28(u,v,w),y),sigma(x))*. % 299.97/300.40 28997[0:Res:1339.2,3829.0] || member(u,image(v,w)) subset(w,x) -> equal(f22(u,v,w),y) member(f1(f22(u,v,w),y),y)* member(f1(f22(u,v,w),y),sigma(x))*. % 299.97/300.40 28964[0:Res:1152.2,3829.0] || member(u,v) -> single_valued_set(u) equal(ordered_pair(f19(u),f20(u)),w) member(f1(ordered_pair(f19(u),f20(u)),w),w)* member(f1(ordered_pair(f19(u),f20(u)),w),sigma(sigma(v)))*. % 299.97/300.40 28963[0:Res:1151.2,3829.0] || member(u,v) -> single_valued_set(u) equal(ordered_pair(f19(u),f21(u)),w) member(f1(ordered_pair(f19(u),f21(u)),w),w)* member(f1(ordered_pair(f19(u),f21(u)),w),sigma(sigma(v)))*. % 299.97/300.40 28922[0:Res:427.1,3829.0] || member(u,range_of(intersection(v,w))) -> equal(f27(u,intersection(v,w)),x) member(f1(f27(u,intersection(v,w)),x),x)* member(f1(f27(u,intersection(v,w)),x),sigma(w))*. % 299.97/300.40 28920[0:Res:456.1,3829.0] || member(u,sigma(intersection(v,w))) -> equal(f16(u,intersection(v,w)),x) member(f1(f16(u,intersection(v,w)),x),x)* member(f1(f16(u,intersection(v,w)),x),sigma(w))*. % 299.97/300.40 28918[0:Res:494.1,3829.0] || member(u,domain_of(intersection(v,w))) -> equal(f8(u,intersection(v,w)),x) member(f1(f8(u,intersection(v,w)),x),x)* member(f1(f8(u,intersection(v,w)),x),sigma(w))*. % 299.97/300.40 28897[0:Res:3839.1,3829.0] || -> equal(powerset(u),v) subset(f1(powerset(u),v),u)* equal(f1(powerset(u),v),w) member(f1(f1(powerset(u),v),w),w)* member(f1(f1(powerset(u),v),w),sigma(v))*. % 299.97/300.40 28893[0:Res:426.1,3829.0] || member(u,range_of(intersection(v,w))) -> equal(f27(u,intersection(v,w)),x) member(f1(f27(u,intersection(v,w)),x),x)* member(f1(f27(u,intersection(v,w)),x),sigma(v))*. % 299.97/300.40 28891[0:Res:455.1,3829.0] || member(u,sigma(intersection(v,w))) -> equal(f16(u,intersection(v,w)),x) member(f1(f16(u,intersection(v,w)),x),x)* member(f1(f16(u,intersection(v,w)),x),sigma(v))*. % 299.97/300.40 28889[0:Res:493.1,3829.0] || member(u,domain_of(intersection(v,w))) -> equal(f8(u,intersection(v,w)),x) member(f1(f8(u,intersection(v,w)),x),x)* member(f1(f8(u,intersection(v,w)),x),sigma(v))*. % 299.97/300.40 28819[0:Res:3821.1,3829.0] || -> equal(u,powerset(v)) subset(f1(u,powerset(v)),v)* equal(f1(u,powerset(v)),w) member(f1(f1(u,powerset(v)),w),w)* member(f1(f1(u,powerset(v)),w),sigma(u))*. % 299.97/300.40 29831[0:Res:136.1,5019.1] || member(u,compose(v,f4(w,x))) member(w,first(x)) equal(y,x) -> member(ordered_pair(f31(u,v,f4(w,x)),f30(u,v,f4(w,x))),first(y))*. % 299.97/300.40 29823[0:Res:135.1,5019.1] || member(u,compose(f4(v,w),x)) member(v,first(w)) equal(y,w) -> member(ordered_pair(f29(u,f4(v,w),x),f31(u,f4(v,w),x)),first(y))*. % 299.97/300.40 30244[0:Res:136.1,5020.1] || member(u,compose(v,f6(w,x))) member(w,second(x)) equal(y,x) -> member(ordered_pair(f31(u,v,f6(w,x)),f30(u,v,f6(w,x))),first(y))*. % 299.97/300.40 30236[0:Res:135.1,5020.1] || member(u,compose(f6(v,w),x)) member(v,second(w)) equal(y,w) -> member(ordered_pair(f29(u,f6(v,w),x),f31(u,f6(v,w),x)),first(y))*. % 299.97/300.40 30355[0:Res:136.1,5022.1] || member(u,compose(v,f9(w,x))) member(w,rotate_right(x)) equal(y,w) -> member(ordered_pair(f31(u,v,f9(w,x)),f30(u,v,f9(w,x))),first(y))*. % 299.97/300.40 30347[0:Res:135.1,5022.1] || member(u,compose(f9(v,w),x)) member(v,rotate_right(w)) equal(y,v) -> member(ordered_pair(f29(u,f9(v,w),x),f31(u,f9(v,w),x)),first(y))*. % 299.97/300.40 30498[0:Res:136.1,5024.1] || member(u,compose(v,f12(w,x))) member(w,flip_range_of(x)) equal(y,w) -> member(ordered_pair(f31(u,v,f12(w,x)),f30(u,v,f12(w,x))),first(y))*. % 299.97/300.40 30490[0:Res:135.1,5024.1] || member(u,compose(f12(v,w),x)) member(v,flip_range_of(w)) equal(y,v) -> member(ordered_pair(f29(u,f12(v,w),x),f31(u,f12(v,w),x)),first(y))*. % 299.97/300.40 30651[0:Res:136.1,5064.1] || member(u,compose(v,f5(w,x))) member(w,first(x)) equal(y,x) -> member(ordered_pair(f31(u,v,f5(w,x)),f30(u,v,f5(w,x))),second(y))*. % 299.97/300.40 30643[0:Res:135.1,5064.1] || member(u,compose(f5(v,w),x)) member(v,first(w)) equal(y,w) -> member(ordered_pair(f29(u,f5(v,w),x),f31(u,f5(v,w),x)),second(y))*. % 299.97/300.40 30808[0:Res:136.1,5065.1] || member(u,compose(v,f7(w,x))) member(w,second(x)) equal(y,x) -> member(ordered_pair(f31(u,v,f7(w,x)),f30(u,v,f7(w,x))),second(y))*. % 299.97/300.40 30800[0:Res:135.1,5065.1] || member(u,compose(f7(v,w),x)) member(v,second(w)) equal(y,w) -> member(ordered_pair(f29(u,f7(v,w),x),f31(u,f7(v,w),x)),second(y))*. % 299.97/300.40 31439[3:Res:3824.2,6192.1] || member(u,v) equal(first(u),w) -> equal(x,intersection(second(u),y)) member(f1(x,intersection(second(u),y)),x)* member(f1(x,intersection(second(u),y)),apply(v,w))*. % 299.97/300.40 31382[3:Res:3824.1,6192.1] || member(u,v) equal(first(u),w) -> equal(second(u),intersection(x,y)) member(f1(second(u),intersection(x,y)),x)* member(f1(second(u),intersection(x,y)),apply(v,w))*. % 299.97/300.40 31649[3:Res:3825.2,6192.1] || member(u,v) equal(first(u),w) -> equal(x,intersection(y,second(u))) member(f1(x,intersection(y,second(u))),x)* member(f1(x,intersection(y,second(u))),apply(v,w))*. % 299.97/300.40 31592[3:Res:3825.1,6192.1] || member(u,v) equal(first(u),w) -> equal(second(u),intersection(x,y)) member(f1(second(u),intersection(x,y)),y)* member(f1(second(u),intersection(x,y)),apply(v,w))*. % 299.97/300.40 31832[3:Res:3842.2,6192.1] || member(u,v) equal(first(u),w) -> equal(intersection(second(u),x),y) member(f1(intersection(second(u),x),y),y)* member(f1(intersection(second(u),x),y),apply(v,w))*. % 299.97/300.40 31775[3:Res:3842.1,6192.1] || member(u,v) equal(first(u),w) -> equal(intersection(x,y),second(u)) member(f1(intersection(x,y),second(u)),x)* member(f1(intersection(x,y),second(u)),apply(v,w))*. % 299.97/300.40 32013[3:Res:3843.2,6192.1] || member(u,v) equal(first(u),w) -> equal(intersection(x,second(u)),y) member(f1(intersection(x,second(u)),y),y)* member(f1(intersection(x,second(u)),y),apply(v,w))*. % 299.97/300.40 31956[3:Res:3843.1,6192.1] || member(u,v) equal(first(u),w) -> equal(intersection(x,y),second(u)) member(f1(intersection(x,y),second(u)),y)* member(f1(intersection(x,y),second(u)),apply(v,w))*. % 299.97/300.40 32191[0:Res:1008.2,1421.0] || member(u,range_of(v)) member(f27(u,v),converse(ordered_pair(w,x)))* -> equal(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x))* equal(ordered_pair(u,first(f27(u,v))),singleton_set(w)). % 299.97/300.40 32162[0:Res:1008.2,1014.0] || member(u,range_of(v)) member(f27(u,v),converse(converse(cross_product(w,x))))* -> member(first(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v)))))),w)*. % 299.97/300.40 32161[0:Res:1008.2,1015.0] || member(u,range_of(v)) member(f27(u,v),converse(converse(cross_product(w,x))))* -> member(second(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v)))))),x)*. % 299.97/300.40 32362[0:Res:1007.2,1421.0] || member(u,domain_of(v)) member(f8(u,v),converse(ordered_pair(w,x)))* -> equal(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x))* equal(ordered_pair(second(f8(u,v)),u),singleton_set(w)). % 299.97/300.40 32333[0:Res:1007.2,1014.0] || member(u,domain_of(v)) member(f8(u,v),converse(converse(cross_product(w,x))))* -> member(first(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u)))),w)*. % 299.97/300.40 32332[0:Res:1007.2,1015.0] || member(u,domain_of(v)) member(f8(u,v),converse(converse(cross_product(w,x))))* -> member(second(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u)))),x)*. % 299.97/300.40 32414[0:Res:3651.2,4119.1] || member(ordered_pair(u,first(f27(u,v))),cross_product(w,universal_set))* member(ordered_pair(u,first(f27(u,v))),x)* member(u,range_of(v)) -> member(f27(u,v),converse(restrict(x,w)))*. % 299.97/300.40 32432[3:SSi:32399.0,5742.0,371.1] || member(second(ordered_pair(u,first(f27(u,v)))),w)* member(first(ordered_pair(u,first(f27(u,v)))),x)* member(u,range_of(v)) -> member(f27(u,v),converse(cross_product(x,w)))*. % 299.97/300.40 32496[0:Res:3651.2,4120.1] || member(ordered_pair(second(f8(u,v)),u),cross_product(w,universal_set))* member(ordered_pair(second(f8(u,v)),u),x)* member(u,domain_of(v)) -> member(f8(u,v),converse(restrict(x,w)))*. % 299.97/300.40 32514[3:SSi:32481.0,5742.0,371.1] || member(second(ordered_pair(second(f8(u,v)),u)),w)* member(first(ordered_pair(second(f8(u,v)),u)),x)* member(u,domain_of(v)) -> member(f8(u,v),converse(cross_product(x,w)))*. % 299.97/300.40 33654[0:Rew:95.1,33595.2,95.1,33595.1] || member(u,image(v,converse(non_ordered_pair(w,x)))) -> equal(ordered_pair(u,first(f22(u,v,converse(non_ordered_pair(w,x))))),x)** equal(ordered_pair(u,first(f22(u,v,converse(non_ordered_pair(w,x))))),w)**. % 299.97/300.40 33655[0:Rew:119.1,33573.2,119.1,33573.1] || member(u,apply(converse(non_ordered_pair(v,w)),x)) -> equal(ordered_pair(second(f28(u,converse(non_ordered_pair(v,w)),x)),x),w)** equal(ordered_pair(second(f28(u,converse(non_ordered_pair(v,w)),x)),x),v)**. % 299.97/300.40 33728[3:Res:5054.3,6224.3] little_set(u) little_set(v) little_set(w) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(f2(x),w),u)* member(x,second(ordered_pair(v,u)))* -> equal(w,f3(x)). % 299.97/300.40 33727[3:Res:5009.3,6224.3] little_set(u) little_set(v) little_set(w) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(f2(x),w),v)* member(x,first(ordered_pair(v,u)))* -> equal(w,f3(x)). % 299.97/300.40 34352[0:Res:1274.2,1437.0] || member(u,apply(v,w)) subset(v,range_of(non_ordered_pair(x,y))) -> equal(f27(f28(u,v,w),non_ordered_pair(x,y)),y)** equal(f27(f28(u,v,w),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34350[0:Res:1339.2,1437.0] || member(u,image(v,w)) subset(w,range_of(non_ordered_pair(x,y))) -> equal(f27(f22(u,v,w),non_ordered_pair(x,y)),y)** equal(f27(f22(u,v,w),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34319[0:Res:4115.1,1437.0] ordered_pair_predicate(u) || -> member(u,converse(complement(range_of(non_ordered_pair(v,w))))) equal(f27(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),w)** equal(f27(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34271[0:Res:395.0,1437.0] || -> subset(u,complement(range_of(non_ordered_pair(v,w)))) equal(f27(f17(u,complement(range_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),w)** equal(f27(f17(u,complement(range_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34251[0:Res:4258.0,1437.0] || -> equal(complement(range_of(non_ordered_pair(u,v))),universal_set) equal(f27(f1(complement(range_of(non_ordered_pair(u,v))),universal_set),non_ordered_pair(u,v)),v)** equal(f27(f1(complement(range_of(non_ordered_pair(u,v))),universal_set),non_ordered_pair(u,v)),u)**. % 299.97/300.40 34539[0:Res:1274.2,1438.0] || member(u,apply(v,w)) subset(v,sigma(non_ordered_pair(x,y))) -> equal(f16(f28(u,v,w),non_ordered_pair(x,y)),y)** equal(f16(f28(u,v,w),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34537[0:Res:1339.2,1438.0] || member(u,image(v,w)) subset(w,sigma(non_ordered_pair(x,y))) -> equal(f16(f22(u,v,w),non_ordered_pair(x,y)),y)** equal(f16(f22(u,v,w),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34491[0:Res:4115.1,1438.0] ordered_pair_predicate(u) || -> member(u,converse(complement(sigma(non_ordered_pair(v,w))))) equal(f16(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34443[0:Res:395.0,1438.0] || -> subset(u,complement(sigma(non_ordered_pair(v,w)))) equal(f16(f17(u,complement(sigma(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),w)** equal(f16(f17(u,complement(sigma(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34418[0:Res:4258.0,1438.0] || -> equal(complement(sigma(non_ordered_pair(u,v))),universal_set) equal(f16(f1(complement(sigma(non_ordered_pair(u,v))),universal_set),non_ordered_pair(u,v)),v)** equal(f16(f1(complement(sigma(non_ordered_pair(u,v))),universal_set),non_ordered_pair(u,v)),u)**. % 299.97/300.40 34689[0:Res:1274.2,1439.0] || member(u,apply(v,w)) subset(v,domain_of(non_ordered_pair(x,y))) -> equal(f8(f28(u,v,w),non_ordered_pair(x,y)),y)** equal(f8(f28(u,v,w),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34687[0:Res:1339.2,1439.0] || member(u,image(v,w)) subset(w,domain_of(non_ordered_pair(x,y))) -> equal(f8(f22(u,v,w),non_ordered_pair(x,y)),y)** equal(f8(f22(u,v,w),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34656[0:Res:4115.1,1439.0] ordered_pair_predicate(u) || -> member(u,converse(complement(domain_of(non_ordered_pair(v,w))))) equal(f8(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),w)** equal(f8(ordered_pair(second(u),first(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34608[0:Res:395.0,1439.0] || -> subset(u,complement(domain_of(non_ordered_pair(v,w)))) equal(f8(f17(u,complement(domain_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),w)** equal(f8(f17(u,complement(domain_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34588[0:Res:4258.0,1439.0] || -> equal(complement(domain_of(non_ordered_pair(u,v))),universal_set) equal(f8(f1(complement(domain_of(non_ordered_pair(u,v))),universal_set),non_ordered_pair(u,v)),v)** equal(f8(f1(complement(domain_of(non_ordered_pair(u,v))),universal_set),non_ordered_pair(u,v)),u)**. % 299.97/300.40 35118[0:Res:1351.1,5025.1] || member(u,image(v,intersection(w,f29(x,y,z)))) member(x,compose(y,z)) equal(x1,x) -> member(f22(u,v,intersection(w,f29(x,y,z))),first(x1))*. % 299.97/300.40 35080[0:Res:1286.1,5025.1] || member(u,apply(intersection(v,f29(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(f28(u,intersection(v,f29(w,x,y)),z),first(x1))*. % 299.97/300.40 35070[0:Res:1350.1,5025.1] || member(u,image(v,intersection(f29(w,x,y),z))) member(w,compose(x,y)) equal(x1,w) -> member(f22(u,v,intersection(f29(w,x,y),z)),first(x1))*. % 299.97/300.40 35049[0:Res:6.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(y,f29(u,v,w)) member(f1(y,f29(u,v,w)),y)* member(f1(y,f29(u,v,w)),first(x))*. % 299.97/300.40 35048[0:Res:1285.1,5025.1] || member(u,apply(intersection(f29(v,w,x),y),z)) member(v,compose(w,x)) equal(x1,v) -> member(f28(u,intersection(f29(v,w,x),y),z),first(x1))*. % 299.97/300.40 35009[0:Res:6.2,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),y) member(f1(f29(u,v,w),y),y)* member(f1(f29(u,v,w),y),first(x))*. % 299.97/300.40 35288[0:Res:1351.1,5066.1] || member(u,image(v,intersection(w,f30(x,y,z)))) member(x,compose(y,z)) equal(x1,x) -> member(f22(u,v,intersection(w,f30(x,y,z))),second(x1))*. % 299.97/300.40 35250[0:Res:1286.1,5066.1] || member(u,apply(intersection(v,f30(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(f28(u,intersection(v,f30(w,x,y)),z),second(x1))*. % 299.97/300.40 35240[0:Res:1350.1,5066.1] || member(u,image(v,intersection(f30(w,x,y),z))) member(w,compose(x,y)) equal(x1,w) -> member(f22(u,v,intersection(f30(w,x,y),z)),second(x1))*. % 299.97/300.40 35219[0:Res:6.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(y,f30(u,v,w)) member(f1(y,f30(u,v,w)),y)* member(f1(y,f30(u,v,w)),second(x))*. % 299.97/300.40 35218[0:Res:1285.1,5066.1] || member(u,apply(intersection(f30(v,w,x),y),z)) member(v,compose(w,x)) equal(x1,v) -> member(f28(u,intersection(f30(v,w,x),y),z),second(x1))*. % 299.97/300.40 35179[0:Res:6.2,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),y) member(f1(f30(u,v,w),y),y)* member(f1(f30(u,v,w),y),second(x))*. % 299.97/300.40 35381[0:Res:4273.2,5065.1] || member(u,compose(v,w)) subset(w,f7(x,y))* member(x,second(y)) equal(z,y)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),second(z))*. % 299.97/300.40 35380[0:Res:4273.2,5064.1] || member(u,compose(v,w)) subset(w,f5(x,y))* member(x,first(y)) equal(z,y)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),second(z))*. % 299.97/300.40 35379[0:Res:4273.2,5024.1] || member(u,compose(v,w)) subset(w,f12(x,y))* member(x,flip_range_of(y)) equal(z,x)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),first(z))*. % 299.97/300.40 35378[0:Res:4273.2,5022.1] || member(u,compose(v,w)) subset(w,f9(x,y))* member(x,rotate_right(y)) equal(z,x)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),first(z))*. % 299.97/300.40 35377[0:Res:4273.2,5020.1] || member(u,compose(v,w)) subset(w,f6(x,y))* member(x,second(y)) equal(z,y)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),first(z))*. % 299.97/300.40 35376[0:Res:4273.2,5019.1] || member(u,compose(v,w)) subset(w,f4(x,y))* member(x,first(y)) equal(z,y)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),first(z))*. % 299.97/300.40 35374[3:Res:4273.2,6192.1] || member(u,compose(v,w)) subset(w,second(x))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),apply(y,z))*. % 299.97/300.40 35333[3:Res:4273.2,6176.0] || member(u,compose(v,w)) subset(w,converse(x))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f31(u,v,w),f30(u,v,w))),first(ordered_pair(f31(u,v,w),f30(u,v,w)))))*. % 299.97/300.40 35501[0:Res:4348.2,5065.1] || member(u,compose(v,w)) subset(v,f7(x,y))* member(x,second(y)) equal(z,y)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),second(z))*. % 299.97/300.40 35500[0:Res:4348.2,5064.1] || member(u,compose(v,w)) subset(v,f5(x,y))* member(x,first(y)) equal(z,y)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),second(z))*. % 299.97/300.40 35499[0:Res:4348.2,5024.1] || member(u,compose(v,w)) subset(v,f12(x,y))* member(x,flip_range_of(y)) equal(z,x)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),first(z))*. % 299.97/300.40 35498[0:Res:4348.2,5022.1] || member(u,compose(v,w)) subset(v,f9(x,y))* member(x,rotate_right(y)) equal(z,x)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),first(z))*. % 299.97/300.40 35497[0:Res:4348.2,5020.1] || member(u,compose(v,w)) subset(v,f6(x,y))* member(x,second(y)) equal(z,y)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),first(z))*. % 299.97/300.40 35496[0:Res:4348.2,5019.1] || member(u,compose(v,w)) subset(v,f4(x,y))* member(x,first(y)) equal(z,y)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),first(z))*. % 299.97/300.40 35494[3:Res:4348.2,6192.1] || member(u,compose(v,w)) subset(v,second(x))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),apply(y,z))*. % 299.97/300.40 35453[3:Res:4348.2,6176.0] || member(u,compose(v,w)) subset(v,converse(x))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f29(u,v,w),f31(u,v,w))),first(ordered_pair(f29(u,v,w),f31(u,v,w)))))*. % 299.97/300.40 35541[0:Res:4112.2,3811.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),sigma(v)) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(converse(f16(ordered_pair(second(u),first(u)),v))))*. % 299.97/300.40 35540[0:Res:4112.2,3829.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),sigma(v)) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(converse(f16(ordered_pair(second(u),first(u)),v))))*. % 299.97/300.40 35627[3:MRR:35581.0,6173.1] || member(ordered_pair(second(f16(u,v)),first(f16(u,v))),sigma(w)) member(u,sigma(v)) -> member(u,sigma(converse(f16(ordered_pair(second(f16(u,v)),first(f16(u,v))),w))))*. % 299.97/300.40 35628[3:MRR:35580.0,6173.1] || member(ordered_pair(second(f16(u,v)),first(f16(u,v))),sigma(w)) member(u,sigma(v)) disjoint(converse(f16(ordered_pair(second(f16(u,v)),first(f16(u,v))),w)),v)* -> . % 299.97/300.40 35700[0:Res:4111.2,3811.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),first(v)) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(converse(f4(ordered_pair(second(u),first(u)),v))))*. % 299.97/300.40 35699[0:Res:4111.2,3829.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),first(v)) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(converse(f4(ordered_pair(second(u),first(u)),v))))*. % 299.97/300.40 35786[3:MRR:35740.0,6173.1] || member(ordered_pair(second(f16(u,v)),first(f16(u,v))),first(w)) member(u,sigma(v)) -> member(u,sigma(converse(f4(ordered_pair(second(f16(u,v)),first(f16(u,v))),w))))*. % 299.97/300.40 35787[3:MRR:35739.0,6173.1] || member(ordered_pair(second(f16(u,v)),first(f16(u,v))),first(w)) member(u,sigma(v)) disjoint(converse(f4(ordered_pair(second(f16(u,v)),first(f16(u,v))),w)),v)* -> . % 299.97/300.40 35919[0:Res:4110.2,3811.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),second(v)) -> equal(w,u) member(f1(w,u),w)* member(f1(w,u),sigma(converse(f7(ordered_pair(second(u),first(u)),v))))*. % 299.97/300.40 35918[0:Res:4110.2,3829.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),second(v)) -> equal(u,w) member(f1(u,w),w)* member(f1(u,w),sigma(converse(f7(ordered_pair(second(u),first(u)),v))))*. % 299.97/300.40 36005[3:MRR:35959.0,6173.1] || member(ordered_pair(second(f16(u,v)),first(f16(u,v))),second(w)) member(u,sigma(v)) -> member(u,sigma(converse(f7(ordered_pair(second(f16(u,v)),first(f16(u,v))),w))))*. % 299.97/300.40 36006[3:MRR:35958.0,6173.1] || member(ordered_pair(second(f16(u,v)),first(f16(u,v))),second(w)) member(u,sigma(v)) disjoint(converse(f7(ordered_pair(second(f16(u,v)),first(f16(u,v))),w)),v)* -> . % 299.97/300.40 37762[0:MRR:37757.0,37757.2,132.1,133.1] little_set(u) single_valued_set(sigma(v)) || member(w,compose(x,y)) member(y,v) member(ordered_pair(f31(w,x,y),u),sigma(v))* -> equal(u,f30(w,x,y)). % 299.97/300.40 38150[0:Res:67.1,4271.1] || member(ordered_pair(f31(u,v,w),f30(u,v,w)),sigma(x)) member(u,compose(v,w)) disjoint(f16(ordered_pair(f31(u,v,w),f30(u,v,w)),x),w)* -> . % 299.97/300.40 38149[0:Res:21.1,4271.1] || member(ordered_pair(f31(u,v,w),f30(u,v,w)),first(x)) member(u,compose(v,w)) disjoint(f4(ordered_pair(f31(u,v,w),f30(u,v,w)),x),w)* -> . % 299.97/300.40 38148[0:Res:26.1,4271.1] || member(ordered_pair(f31(u,v,w),f30(u,v,w)),second(x)) member(u,compose(v,w)) disjoint(f7(ordered_pair(f31(u,v,w),f30(u,v,w)),x),w)* -> . % 299.97/300.40 38233[0:MRR:38228.0,38228.2,133.1,131.1] little_set(u) single_valued_set(sigma(v)) || member(w,compose(x,y)) member(x,v) member(ordered_pair(f29(w,x,y),u),sigma(v))* -> equal(u,f31(w,x,y)). % 299.97/300.40 38269[0:Res:67.1,4346.1] || member(ordered_pair(f29(u,v,w),f31(u,v,w)),sigma(x)) member(u,compose(v,w)) disjoint(f16(ordered_pair(f29(u,v,w),f31(u,v,w)),x),v)* -> . % 299.97/300.40 38268[0:Res:21.1,4346.1] || member(ordered_pair(f29(u,v,w),f31(u,v,w)),first(x)) member(u,compose(v,w)) disjoint(f4(ordered_pair(f29(u,v,w),f31(u,v,w)),x),v)* -> . % 299.97/300.40 38267[0:Res:26.1,4346.1] || member(ordered_pair(f29(u,v,w),f31(u,v,w)),second(x)) member(u,compose(v,w)) disjoint(f7(ordered_pair(f29(u,v,w),f31(u,v,w)),x),v)* -> . % 299.97/300.40 38376[0:Res:3651.2,5125.1] || member(f28(u,v,w),cross_product(x,universal_set))* member(f28(u,v,w),y)* member(u,apply(v,w)) equal(w,z)* -> member(u,apply(restrict(y,x),z))*. % 299.97/300.40 38502[0:SSi:38474.0,371.0,371.0] || equal(ordered_pair(f12(u,complement(ordered_pair(v,w))),ordered_pair(f14(u,complement(ordered_pair(v,w))),f13(u,complement(ordered_pair(v,w))))),non_ordered_pair(v,w))** member(u,flip_range_of(complement(ordered_pair(v,w)))) -> . % 299.97/300.40 38601[0:SSi:38573.0,371.0,371.0] || equal(ordered_pair(f10(u,complement(ordered_pair(v,w))),ordered_pair(f11(u,complement(ordered_pair(v,w))),f9(u,complement(ordered_pair(v,w))))),non_ordered_pair(v,w))** member(u,rotate_right(complement(ordered_pair(v,w)))) -> . % 299.97/300.40 38858[0:Res:3651.2,4457.3] ordered_pair_predicate(u) || member(cross_product(v,w),cross_product(x,universal_set))* member(cross_product(v,w),y)* member(second(u),w)* member(first(u),v)* -> member(u,sigma(restrict(y,x)))*. % 299.97/300.40 38857[0:Res:384.1,4457.3] little_set(cross_product(u,v)) ordered_pair_predicate(w) || member(second(w),v)* member(first(w),u)* -> member(cross_product(u,v),union(x,y))* member(w,sigma(intersection(complement(x),complement(y))))*. % 299.97/300.40 38932[3:Rew:95.1,38907.1] || member(u,image(v,w)) member(x,range_of(u)) member(f22(u,v,w),y)* equal(first(f22(u,v,w)),z)* -> member(f27(x,u),apply(y,z))*. % 299.97/300.40 39027[3:Rew:95.1,39002.1] || member(u,image(v,w)) member(x,sigma(u)) member(f22(u,v,w),y)* equal(first(f22(u,v,w)),z)* -> member(f16(x,u),apply(y,z))*. % 299.97/300.40 39102[3:Rew:95.1,39077.1] || member(u,image(v,w)) member(x,domain_of(u)) member(f22(u,v,w),y)* equal(first(f22(u,v,w)),z)* -> member(f8(x,u),apply(y,z))*. % 299.97/300.40 40288[0:Res:1544.2,5068.1] || member(u,image(v,w)) subset(v,ordered_pair(f10(x,y),f11(x,y)))* member(x,rotate_right(y)) equal(z,x)* -> member(first(f22(u,v,w)),second(z))*. % 299.97/300.40 40468[0:Res:1544.2,5070.1] || member(u,image(v,w)) subset(v,ordered_pair(f13(x,y),f14(x,y)))* member(x,flip_range_of(y)) equal(z,x)* -> member(first(f22(u,v,w)),second(z))*. % 299.97/300.40 40684[2:Res:25246.0,1438.0] || -> equal(complement(sigma(non_ordered_pair(u,v))),universal_set) equal(f16(f1(universal_set,complement(sigma(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),v)** equal(f16(f1(universal_set,complement(sigma(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),u)**. % 299.97/300.40 40656[2:Res:25246.0,1437.0] || -> equal(complement(range_of(non_ordered_pair(u,v))),universal_set) equal(f27(f1(universal_set,complement(range_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),v)** equal(f27(f1(universal_set,complement(range_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),u)**. % 299.97/300.40 40653[2:Res:25246.0,1439.0] || -> equal(complement(domain_of(non_ordered_pair(u,v))),universal_set) equal(f8(f1(universal_set,complement(domain_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),v)** equal(f8(f1(universal_set,complement(domain_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),u)**. % 299.97/300.40 40726[3:Res:1468.2,6176.0] || member(u,image(v,w)) member(f22(u,v,w),converse(converse(x)))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))))*. % 299.97/300.40 40794[0:MRR:40766.0,40766.2,1545.1,4.1] little_set(u) single_valued_set(v) || member(w,image(x,y)) member(f22(w,x,y),converse(v))* member(ordered_pair(w,u),v)* -> equal(u,first(f22(w,x,y)))*. % 299.97/300.40 40872[3:Res:1464.2,6176.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(converse(x)))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))))*. % 299.97/300.40 41294[0:MRR:41255.0,41255.2,132.1,133.1] little_set(u) single_valued_set(v) || member(w,compose(x,intersection(y,v))) member(ordered_pair(f31(w,x,intersection(y,v)),u),v)* -> equal(u,f30(w,x,intersection(y,v))). % 299.97/300.40 41533[0:MRR:41494.0,41494.2,132.1,133.1] little_set(u) single_valued_set(v) || member(w,compose(x,intersection(v,y))) member(ordered_pair(f31(w,x,intersection(v,y)),u),v)* -> equal(u,f30(w,x,intersection(v,y))). % 299.97/300.40 41671[0:MRR:41632.0,41632.2,133.1,131.1] little_set(u) single_valued_set(v) || member(w,compose(intersection(x,v),y)) member(ordered_pair(f29(w,intersection(x,v),y),u),v)* -> equal(u,f31(w,intersection(x,v),y)). % 299.97/300.40 41793[0:MRR:41754.0,41754.2,133.1,131.1] little_set(u) single_valued_set(v) || member(w,compose(intersection(v,x),y)) member(ordered_pair(f29(w,intersection(v,x),y),u),v)* -> equal(u,f31(w,intersection(v,x),y)). % 299.97/300.40 42048[3:Res:46.1,6212.0] || member(u,converse(converse(second(v))))* member(v,w)* equal(first(v),x)* -> member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),apply(w,x))*. % 299.97/300.40 42037[3:Res:964.2,6212.0] || member(u,sigma(v)) subset(v,converse(second(w)))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(second(f16(u,v)),first(f16(u,v))),apply(x,y))*. % 299.97/300.40 42004[3:Res:66.1,6212.0] || member(u,sigma(converse(second(v)))) member(v,w) equal(first(v),x) -> member(ordered_pair(second(f16(u,converse(second(v)))),first(f16(u,converse(second(v))))),apply(w,x))*. % 299.97/300.40 42199[0:Res:5054.3,4927.2] little_set(u) little_set(v) little_set(w) || member(f28(x,y,z),u)* member(x,apply(y,z)) equal(w,z)* -> member(w,domain_of(second(ordered_pair(v,u))))*. % 299.97/300.40 42198[0:Res:5009.3,4927.2] little_set(u) little_set(v) little_set(w) || member(f28(x,y,z),v)* member(x,apply(y,z)) equal(w,z)* -> member(w,domain_of(first(ordered_pair(v,u))))*. % 299.97/300.40 42186[0:Res:33.2,4927.2] little_set(u) || member(f28(v,w,x),y)* member(f28(v,w,x),z)* member(v,apply(w,x)) equal(u,x)* -> member(u,domain_of(intersection(z,y)))*. % 299.97/300.40 42185[0:Res:120.1,4927.2] little_set(u) || member(f28(v,w,x),apply(y,z)) member(v,apply(w,x)) equal(u,x) -> member(u,domain_of(second(f28(f28(v,w,x),y,z))))*. % 299.97/300.40 42274[0:Res:5054.3,4973.2] little_set(u) little_set(v) little_set(w) || member(f22(x,y,z),u)* member(x,image(y,z)) equal(w,x)* -> member(w,range_of(second(ordered_pair(v,u))))*. % 299.97/300.40 42273[0:Res:5009.3,4973.2] little_set(u) little_set(v) little_set(w) || member(f22(x,y,z),v)* member(x,image(y,z)) equal(w,x)* -> member(w,range_of(first(ordered_pair(v,u))))*. % 299.97/300.40 42262[0:Res:33.2,4973.2] little_set(u) || member(f22(v,w,x),y)* member(f22(v,w,x),z)* member(v,image(w,x)) equal(u,v)* -> member(u,range_of(intersection(z,y)))*. % 299.97/300.40 42261[0:Res:120.1,4973.2] little_set(u) || member(f22(v,w,x),apply(y,z)) member(v,image(w,x)) equal(u,v) -> member(u,range_of(second(f28(f22(v,w,x),y,z))))*. % 299.97/300.40 42372[0:Res:4279.1,547.0] || member(u,compose(v,cross_product(w,range_of(cross_product(x,y))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,range_of(cross_product(x,y)))),f30(u,v,cross_product(w,range_of(cross_product(x,y)))))),y)*. % 299.97/300.40 42369[0:Res:4279.1,560.0] || member(u,compose(v,cross_product(w,domain_of(cross_product(x,y))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,domain_of(cross_product(x,y)))),f30(u,v,cross_product(w,domain_of(cross_product(x,y)))))),x)*. % 299.97/300.40 42353[0:Res:4279.1,4238.0] || member(u,compose(v,cross_product(w,compose(x,y)))) equal(z,second(ordered_pair(f31(u,v,cross_product(w,compose(x,y))),f30(u,v,cross_product(w,compose(x,y))))))* -> ordered_pair_predicate(z)*. % 299.97/300.40 42483[0:Res:4278.1,547.0] || member(u,compose(v,cross_product(range_of(cross_product(w,x)),y))) -> member(first(ordered_pair(f31(u,v,cross_product(range_of(cross_product(w,x)),y)),f30(u,v,cross_product(range_of(cross_product(w,x)),y)))),x)*. % 299.97/300.40 42480[0:Res:4278.1,560.0] || member(u,compose(v,cross_product(domain_of(cross_product(w,x)),y))) -> member(first(ordered_pair(f31(u,v,cross_product(domain_of(cross_product(w,x)),y)),f30(u,v,cross_product(domain_of(cross_product(w,x)),y)))),w)*. % 299.97/300.40 42464[0:Res:4278.1,4238.0] || member(u,compose(v,cross_product(compose(w,x),y))) equal(z,first(ordered_pair(f31(u,v,cross_product(compose(w,x),y)),f30(u,v,cross_product(compose(w,x),y)))))* -> ordered_pair_predicate(z)*. % 299.97/300.40 42630[0:Res:4354.1,547.0] || member(u,compose(cross_product(v,range_of(cross_product(w,x))),y)) -> member(second(ordered_pair(f29(u,cross_product(v,range_of(cross_product(w,x))),y),f31(u,cross_product(v,range_of(cross_product(w,x))),y))),x)*. % 299.97/300.40 42627[0:Res:4354.1,560.0] || member(u,compose(cross_product(v,domain_of(cross_product(w,x))),y)) -> member(second(ordered_pair(f29(u,cross_product(v,domain_of(cross_product(w,x))),y),f31(u,cross_product(v,domain_of(cross_product(w,x))),y))),w)*. % 299.97/300.40 42611[0:Res:4354.1,4238.0] || member(u,compose(cross_product(v,compose(w,x)),y)) equal(z,second(ordered_pair(f29(u,cross_product(v,compose(w,x)),y),f31(u,cross_product(v,compose(w,x)),y))))* -> ordered_pair_predicate(z)*. % 299.97/300.40 42772[0:Res:4353.1,547.0] || member(u,compose(cross_product(range_of(cross_product(v,w)),x),y)) -> member(first(ordered_pair(f29(u,cross_product(range_of(cross_product(v,w)),x),y),f31(u,cross_product(range_of(cross_product(v,w)),x),y))),w)*. % 299.97/300.40 42769[0:Res:4353.1,560.0] || member(u,compose(cross_product(domain_of(cross_product(v,w)),x),y)) -> member(first(ordered_pair(f29(u,cross_product(domain_of(cross_product(v,w)),x),y),f31(u,cross_product(domain_of(cross_product(v,w)),x),y))),v)*. % 299.97/300.40 42753[0:Res:4353.1,4238.0] || member(u,compose(cross_product(compose(v,w),x),y)) equal(z,first(ordered_pair(f29(u,cross_product(compose(v,w),x),y),f31(u,cross_product(compose(v,w),x),y))))* -> ordered_pair_predicate(z)*. % 299.97/300.40 42942[0:Res:46.1,1442.0] || member(u,converse(apply(non_ordered_pair(v,w),x))) -> equal(f28(ordered_pair(second(u),first(u)),non_ordered_pair(v,w),x),w)** equal(f28(ordered_pair(second(u),first(u)),non_ordered_pair(v,w),x),v)**. % 299.97/300.40 42933[0:Res:963.2,1442.0] || member(u,range_of(v)) subset(v,apply(non_ordered_pair(w,x),y)) -> equal(f28(f27(u,v),non_ordered_pair(w,x),y),x)** equal(f28(f27(u,v),non_ordered_pair(w,x),y),w)**. % 299.97/300.40 42931[0:Res:964.2,1442.0] || member(u,sigma(v)) subset(v,apply(non_ordered_pair(w,x),y)) -> equal(f28(f16(u,v),non_ordered_pair(w,x),y),x)** equal(f28(f16(u,v),non_ordered_pair(w,x),y),w)**. % 299.97/300.40 42929[0:Res:965.2,1442.0] || member(u,domain_of(v)) subset(v,apply(non_ordered_pair(w,x),y)) -> equal(f28(f8(u,v),non_ordered_pair(w,x),y),x)** equal(f28(f8(u,v),non_ordered_pair(w,x),y),w)**. % 299.97/300.40 43119[0:Res:46.1,1443.0] || member(u,converse(image(v,non_ordered_pair(w,x)))) -> equal(f22(ordered_pair(second(u),first(u)),v,non_ordered_pair(w,x)),x)** equal(f22(ordered_pair(second(u),first(u)),v,non_ordered_pair(w,x)),w)**. % 299.97/300.40 43110[0:Res:963.2,1443.0] || member(u,range_of(v)) subset(v,image(w,non_ordered_pair(x,y))) -> equal(f22(f27(u,v),w,non_ordered_pair(x,y)),y)** equal(f22(f27(u,v),w,non_ordered_pair(x,y)),x)**. % 299.97/300.40 43108[0:Res:964.2,1443.0] || member(u,sigma(v)) subset(v,image(w,non_ordered_pair(x,y))) -> equal(f22(f16(u,v),w,non_ordered_pair(x,y)),y)** equal(f22(f16(u,v),w,non_ordered_pair(x,y)),x)**. % 299.97/300.40 43106[0:Res:965.2,1443.0] || member(u,domain_of(v)) subset(v,image(w,non_ordered_pair(x,y))) -> equal(f22(f8(u,v),w,non_ordered_pair(x,y)),y)** equal(f22(f8(u,v),w,non_ordered_pair(x,y)),x)**. % 299.97/300.40 43471[0:MRR:43470.0,117.1] || member(ordered_pair(second(f28(u,v,w)),w),apply(x,y)) member(u,apply(v,w)) disjoint(converse(second(f28(ordered_pair(second(f28(u,v,w)),w),x,y))),v)* -> . % 299.97/300.40 43473[0:MRR:43472.0,92.1] || member(ordered_pair(u,first(f22(u,v,w))),apply(x,y)) member(u,image(v,w)) disjoint(converse(second(f28(ordered_pair(u,first(f22(u,v,w))),x,y))),w)* -> . % 299.97/300.40 43952[0:SpR:1432.2,1080.2] little_set(u) || equal(u,non_ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),w) member(u,v)*. % 299.97/300.40 43928[0:SpR:1432.1,1080.2] little_set(u) || equal(u,non_ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),v) member(u,w)*. % 299.97/300.40 44096[0:SpR:1433.2,1080.2] little_set(u) || equal(u,non_ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),w) member(u,v)*. % 299.97/300.40 44072[0:SpR:1433.1,1080.2] little_set(u) || equal(u,non_ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))))* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),v) member(u,w)*. % 299.97/300.40 44245[3:Rew:108.1,44216.1] || member(u,range_of(v)) member(w,image(u,x)) member(f27(u,v),y)* equal(first(f27(u,v)),z)* -> member(first(f22(w,u,x)),apply(y,z))*. % 299.97/300.40 44313[0:Res:4635.1,4578.0] || member(u,flip_range_of(intersection(v,rotate_right(w)))) equal(x,ordered_pair(f12(u,intersection(v,rotate_right(w))),ordered_pair(f14(u,intersection(v,rotate_right(w))),f13(u,intersection(v,rotate_right(w))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 44310[0:Res:4635.1,4549.0] || member(u,flip_range_of(intersection(v,flip_range_of(w)))) equal(x,ordered_pair(f12(u,intersection(v,flip_range_of(w))),ordered_pair(f14(u,intersection(v,flip_range_of(w))),f13(u,intersection(v,flip_range_of(w))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 44568[0:Res:4634.1,4578.0] || member(u,flip_range_of(intersection(rotate_right(v),w))) equal(x,ordered_pair(f12(u,intersection(rotate_right(v),w)),ordered_pair(f14(u,intersection(rotate_right(v),w)),f13(u,intersection(rotate_right(v),w)))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 44565[0:Res:4634.1,4549.0] || member(u,flip_range_of(intersection(flip_range_of(v),w))) equal(x,ordered_pair(f12(u,intersection(flip_range_of(v),w)),ordered_pair(f14(u,intersection(flip_range_of(v),w)),f13(u,intersection(flip_range_of(v),w)))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 45087[0:Res:4783.1,4578.0] || member(u,rotate_right(intersection(v,rotate_right(w)))) equal(x,ordered_pair(f10(u,intersection(v,rotate_right(w))),ordered_pair(f11(u,intersection(v,rotate_right(w))),f9(u,intersection(v,rotate_right(w))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 45084[0:Res:4783.1,4549.0] || member(u,rotate_right(intersection(v,flip_range_of(w)))) equal(x,ordered_pair(f10(u,intersection(v,flip_range_of(w))),ordered_pair(f11(u,intersection(v,flip_range_of(w))),f9(u,intersection(v,flip_range_of(w))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 46214[0:Res:4782.1,4578.0] || member(u,rotate_right(intersection(rotate_right(v),w))) equal(x,ordered_pair(f10(u,intersection(rotate_right(v),w)),ordered_pair(f11(u,intersection(rotate_right(v),w)),f9(u,intersection(rotate_right(v),w)))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 46211[0:Res:4782.1,4549.0] || member(u,rotate_right(intersection(flip_range_of(v),w))) equal(x,ordered_pair(f10(u,intersection(flip_range_of(v),w)),ordered_pair(f11(u,intersection(flip_range_of(v),w)),f9(u,intersection(flip_range_of(v),w)))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 47225[0:Res:955.2,1558.0] || subset(u,image(non_ordered_pair(v,w),x)) -> subset(u,y) equal(first(f22(f17(u,y),non_ordered_pair(v,w),x)),w)** equal(first(f22(f17(u,y),non_ordered_pair(v,w),x)),v)**. % 299.97/300.40 47222[0:Res:961.2,1558.0] || subset(u,image(non_ordered_pair(v,w),x)) -> disjoint(y,u) equal(first(f22(f23(y,u),non_ordered_pair(v,w),x)),w)** equal(first(f22(f23(y,u),non_ordered_pair(v,w),x)),v)**. % 299.97/300.40 47220[0:Res:954.2,1558.0] || subset(u,image(non_ordered_pair(v,w),x)) -> disjoint(u,y) equal(first(f22(f23(u,y),non_ordered_pair(v,w),x)),w)** equal(first(f22(f23(u,y),non_ordered_pair(v,w),x)),v)**. % 299.97/300.40 47378[0:Res:3837.1,4578.0] || equal(u,f1(non_ordered_pair(v,w),rotate_right(x)))* -> equal(non_ordered_pair(v,w),rotate_right(x)) equal(f1(non_ordered_pair(v,w),rotate_right(x)),w)** equal(f1(non_ordered_pair(v,w),rotate_right(x)),v)** ordered_pair_predicate(u)*. % 299.97/300.40 47375[0:Res:3837.1,4549.0] || equal(u,f1(non_ordered_pair(v,w),flip_range_of(x)))* -> equal(non_ordered_pair(v,w),flip_range_of(x)) equal(f1(non_ordered_pair(v,w),flip_range_of(x)),w)** equal(f1(non_ordered_pair(v,w),flip_range_of(x)),v)** ordered_pair_predicate(u)*. % 299.97/300.40 47823[0:Res:3819.1,4578.0] || equal(u,f1(rotate_right(v),non_ordered_pair(w,x)))* -> equal(rotate_right(v),non_ordered_pair(w,x)) equal(f1(rotate_right(v),non_ordered_pair(w,x)),x)** equal(f1(rotate_right(v),non_ordered_pair(w,x)),w)** ordered_pair_predicate(u)*. % 299.97/300.40 47820[0:Res:3819.1,4549.0] || equal(u,f1(flip_range_of(v),non_ordered_pair(w,x)))* -> equal(flip_range_of(v),non_ordered_pair(w,x)) equal(f1(flip_range_of(v),non_ordered_pair(w,x)),x)** equal(f1(flip_range_of(v),non_ordered_pair(w,x)),w)** ordered_pair_predicate(u)*. % 299.97/300.40 59790[16:Rew:375.0,55221.1] || member(u,flip_range_of(powerset(cross_product(set_a,set_b)))) member(singleton_set(singleton_set(a)),ordered_pair(f12(u,powerset(cross_product(set_a,set_b))),ordered_pair(f14(u,powerset(cross_product(set_a,set_b))),f13(u,powerset(cross_product(set_a,set_b))))))* -> . % 299.97/300.40 59791[16:Rew:375.0,55222.1] || member(u,rotate_right(powerset(cross_product(set_a,set_b)))) member(singleton_set(singleton_set(a)),ordered_pair(f10(u,powerset(cross_product(set_a,set_b))),ordered_pair(f11(u,powerset(cross_product(set_a,set_b))),f9(u,powerset(cross_product(set_a,set_b))))))* -> . % 299.97/300.40 55861[16:Rew:54986.0,48799.2] little_set(u) || subset(f25,v) -> equal(u,a) equal(w,ordered_pair(u,f26(u))) member(f1(w,ordered_pair(u,f26(u))),w)* member(f1(w,ordered_pair(u,f26(u))),sigma(v))*. % 299.97/300.40 55862[16:Rew:54986.0,48784.2] little_set(u) || subset(f25,v) -> equal(u,a) equal(ordered_pair(u,f26(u)),w) member(f1(ordered_pair(u,f26(u)),w),w)* member(f1(ordered_pair(u,f26(u)),w),sigma(v))*. % 299.97/300.40 55863[16:Rew:54986.0,48755.2] little_set(u) || subset(f25,range_of(non_ordered_pair(v,w))) -> equal(u,a) equal(f27(ordered_pair(u,f26(u)),non_ordered_pair(v,w)),w)** equal(f27(ordered_pair(u,f26(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.40 55864[16:Rew:54986.0,48749.2] little_set(u) || subset(f25,sigma(non_ordered_pair(v,w))) -> equal(u,a) equal(f16(ordered_pair(u,f26(u)),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(u,f26(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.40 55865[16:Rew:54986.0,48746.2] little_set(u) || subset(f25,domain_of(non_ordered_pair(v,w))) -> equal(u,a) equal(f8(ordered_pair(u,f26(u)),non_ordered_pair(v,w)),w)** equal(f8(ordered_pair(u,f26(u)),non_ordered_pair(v,w)),v)**. % 299.97/300.40 55866[16:Rew:54986.0,48713.3] little_set(u) || member(ordered_pair(second(f26(u)),first(f26(u))),apply(v,w)) disjoint(converse(second(f28(ordered_pair(second(f26(u)),first(f26(u))),v,w))),u)* -> equal(u,a). % 299.97/300.40 59792[16:Rew:54986.0,57227.2] || subset(f25,converse(non_ordered_pair(u,v)))* -> equal(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),v)* equal(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),u)*. % 299.97/300.40 59793[16:Rew:54986.0,57228.2] || subset(universal_set,converse(non_ordered_pair(u,v)))* -> equal(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),v)* equal(ordered_pair(second(ordered_pair(powerset(a),a)),first(ordered_pair(powerset(a),a))),u)*. % 299.97/300.40 58742[16:Rew:54986.0,49760.5] little_set(u) little_set(v) little_set(w) single_valued_set(singleton_set(ordered_pair(w,u))) || member(ordered_pair(w,v),singleton_set(ordered_pair(w,u)))* -> equal(singleton_set(ordered_pair(w,u)),a) equal(v,u). % 299.97/300.40 58743[16:Rew:54986.0,51448.2] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,ordered_pair(f10(u,v),f11(u,v))),a) member(f24(intersection(x,ordered_pair(f10(u,v),f11(u,v)))),second(w))*. % 299.97/300.40 58744[16:Rew:54986.0,51449.2] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(ordered_pair(f10(u,v),f11(u,v)),x),a) member(f24(intersection(ordered_pair(f10(u,v),f11(u,v)),x)),second(w))*. % 299.97/300.40 58745[16:Rew:54986.0,51456.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,ordered_pair(f13(u,v),f14(u,v))),a) member(f24(intersection(x,ordered_pair(f13(u,v),f14(u,v)))),second(w))*. % 299.97/300.40 58746[16:Rew:54986.0,51457.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(ordered_pair(f13(u,v),f14(u,v)),x),a) member(f24(intersection(ordered_pair(f13(u,v),f14(u,v)),x)),second(w))*. % 299.97/300.40 58747[16:Rew:54986.0,51505.2] || member(u,compose(powerset(f25),v)) -> single_valued_set(ordered_pair(f29(u,powerset(f25),v),f31(u,powerset(f25),v))) equal(f19(ordered_pair(f29(u,powerset(f25),v),f31(u,powerset(f25),v))),a)**. % 299.97/300.40 58748[16:Rew:54986.0,51506.2] || member(u,compose(v,powerset(f25))) -> single_valued_set(ordered_pair(f31(u,v,powerset(f25)),f30(u,v,powerset(f25)))) equal(f19(ordered_pair(f31(u,v,powerset(f25)),f30(u,v,powerset(f25)))),a)**. % 299.97/300.40 58752[16:Rew:54986.0,51596.0] || -> equal(apply(non_ordered_pair(u,v),w),a) equal(f28(f24(apply(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w),v)** equal(f28(f24(apply(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w),u)**. % 299.97/300.40 58756[16:Rew:54986.0,51604.0] || -> equal(image(u,non_ordered_pair(v,w)),a) equal(f22(f24(image(u,non_ordered_pair(v,w))),u,non_ordered_pair(v,w)),w)** equal(f22(f24(image(u,non_ordered_pair(v,w))),u,non_ordered_pair(v,w)),v)**. % 299.97/300.40 65884[0:SSi:65865.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f4(x,y),u),singleton_set(v))* member(x,first(y)) member(y,ordered_pair(v,w))* -> equal(u,f5(x,y)). % 299.97/300.40 66005[0:SSi:65986.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f6(x,y),u),singleton_set(v))* member(x,second(y)) member(y,ordered_pair(v,w))* -> equal(u,f7(x,y)). % 299.97/300.40 66100[0:SSi:66076.0,371.0] little_set(u) single_valued_set(singleton_set(v)) || equal(ordered_pair(f10(w,singleton_set(v)),u),v)** member(w,rotate_right(singleton_set(v))) -> equal(u,ordered_pair(f11(w,singleton_set(v)),f9(w,singleton_set(v))))*. % 299.97/300.40 66101[0:SSi:66075.0,371.0] little_set(u) single_valued_set(powerset(v)) || subset(ordered_pair(f10(w,powerset(v)),u),v)* member(w,rotate_right(powerset(v))) -> equal(u,ordered_pair(f11(w,powerset(v)),f9(w,powerset(v))))*. % 299.97/300.40 66196[0:SSi:66172.0,371.0] little_set(u) single_valued_set(singleton_set(v)) || equal(ordered_pair(f12(w,singleton_set(v)),u),v)** member(w,flip_range_of(singleton_set(v))) -> equal(u,ordered_pair(f14(w,singleton_set(v)),f13(w,singleton_set(v))))*. % 299.97/300.40 66197[0:SSi:66171.0,371.0] little_set(u) single_valued_set(powerset(v)) || subset(ordered_pair(f12(w,powerset(v)),u),v)* member(w,flip_range_of(powerset(v))) -> equal(u,ordered_pair(f14(w,powerset(v)),f13(w,powerset(v))))*. % 299.97/300.40 66295[0:Res:67.1,6077.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(u,v),sigma(x)) member(ordered_pair(w,u),y) -> member(ordered_pair(w,v),compose(y,f16(ordered_pair(u,v),x)))*. % 299.97/300.40 66294[0:Res:21.1,6077.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(u,v),first(x)) member(ordered_pair(w,u),y) -> member(ordered_pair(w,v),compose(y,f4(ordered_pair(u,v),x)))*. % 299.97/300.40 66293[0:Res:26.1,6077.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(u,v),second(x)) member(ordered_pair(w,u),y) -> member(ordered_pair(w,v),compose(y,f7(ordered_pair(u,v),x)))*. % 299.97/300.40 66380[0:SSi:66291.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,u),x)* -> member(ordered_pair(u,v),union(y,z))* member(ordered_pair(w,v),compose(x,intersection(complement(y),complement(z))))*. % 299.97/300.40 66402[0:MRR:66337.0,66337.1,131.1,133.1] little_set(u) || member(v,compose(w,x)) member(w,y) member(ordered_pair(u,f29(v,w,x)),z) -> member(ordered_pair(u,f31(v,w,x)),compose(z,sigma(y)))*. % 299.97/300.40 66403[0:MRR:66336.0,66336.1,133.1,132.1] little_set(u) || member(v,compose(w,x)) member(x,y) member(ordered_pair(u,f31(v,w,x)),z) -> member(ordered_pair(u,f30(v,w,x)),compose(z,sigma(y)))*. % 299.97/300.40 66405[0:MRR:66404.0,49.1] little_set(u) || member(v,rotate_right(w)) subset(w,x) member(ordered_pair(u,f10(v,w)),y) -> member(ordered_pair(u,ordered_pair(f11(v,w),f9(v,w))),compose(y,x))*. % 299.97/300.40 66407[0:MRR:66406.0,54.1] little_set(u) || member(v,flip_range_of(w)) subset(w,x) member(ordered_pair(u,f12(v,w)),y) -> member(ordered_pair(u,ordered_pair(f14(v,w),f13(v,w))),compose(y,x))*. % 299.97/300.40 66409[0:MRR:66408.0,48.1] little_set(u) || member(v,rotate_right(w)) member(v,x) member(ordered_pair(u,f9(v,w)),y) -> member(ordered_pair(u,ordered_pair(f10(v,w),f11(v,w))),compose(y,x))*. % 299.97/300.40 66411[0:MRR:66410.0,54.1] little_set(u) || member(v,flip_range_of(w)) member(v,x) member(ordered_pair(u,f12(v,w)),y) -> member(ordered_pair(u,ordered_pair(f13(v,w),f14(v,w))),compose(y,x))*. % 299.97/300.40 66538[16:Res:55527.1,18198.1] ordered_pair_predicate(u) || member(first(ordered_pair(second(u),first(u))),v) -> equal(singleton_set(second(ordered_pair(second(u),first(u)))),a) member(u,converse(cross_product(v,singleton_set(second(ordered_pair(second(u),first(u)))))))*. % 299.97/300.40 66648[0:SSi:66629.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),non_ordered_pair(x,y))* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(ordered_pair(x,y)))*. % 299.97/300.40 66813[0:SSi:66789.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),non_ordered_pair(x,y))* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(ordered_pair(x,y)))*. % 299.97/300.40 66915[16:Res:55527.1,8204.3] little_set(u) little_set(v) || equal(v,w) member(ordered_pair(f2(w),u),x) -> equal(singleton_set(ordered_pair(u,f3(w))),a) member(v,compose(x,singleton_set(ordered_pair(u,f3(w)))))*. % 299.97/300.40 66943[3:SSi:66924.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),non_ordered_pair(x,y))* equal(v,w)* member(ordered_pair(f2(w),u),z)* -> member(v,compose(z,ordered_pair(x,y)))*. % 299.97/300.40 67013[0:MRR:66996.0,5.0] || equal(f1(u,intersection(v,singleton_set(w))),w) member(f1(u,intersection(v,singleton_set(w))),v)* member(f1(u,intersection(v,singleton_set(w))),u)* -> equal(u,intersection(v,singleton_set(w))). % 299.97/300.40 67014[0:MRR:66995.0,5.0] || subset(f1(u,intersection(v,powerset(w))),w)* member(f1(u,intersection(v,powerset(w))),v)* member(f1(u,intersection(v,powerset(w))),u)* -> equal(u,intersection(v,powerset(w))). % 299.97/300.40 67050[16:SoR:5209.0,57004.1] little_set(u) little_set(second(v)) single_valued_set(w) || member(v,converse(w)) member(ordered_pair(second(v),u),w)* equal(f1(universal_set,a),first(v)) -> equal(u,first(v)). % 299.97/300.40 67225[0:SSi:67201.0,371.0,371.0] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),singleton_set(x))* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(ordered_pair(x,y)))*. % 299.97/300.40 67302[0:SSi:67288.0,371.0,371.0] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),singleton_set(x))* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(ordered_pair(x,y)))*. % 299.97/300.40 67368[0:SSi:67353.0,371.0,371.0] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),singleton_set(x))* member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(ordered_pair(x,y)))*. % 299.97/300.40 67438[0:SSi:67413.0,371.0,371.0] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),singleton_set(x))* member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(ordered_pair(x,y)))*. % 299.97/300.40 67894[0:SSi:67856.0,371.0] little_set(u) single_valued_set(singleton_set(v)) || equal(ordered_pair(f29(w,x,y),u),v)* member(w,compose(x,y)) member(w,singleton_set(v))* -> equal(u,f30(w,x,y)). % 299.97/300.40 67895[0:SSi:67855.0,371.0] little_set(u) single_valued_set(powerset(v)) || subset(ordered_pair(f29(w,x,y),u),v)* member(w,compose(x,y)) member(w,powerset(v)) -> equal(u,f30(w,x,y)). % 299.97/300.40 68130[0:Res:5257.5,282.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,restrict(z,x1))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),z)*. % 299.97/300.40 68128[0:Res:5257.5,15955.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,sigma(powerset(z))) -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),z)*. % 299.97/300.40 68125[0:Res:5257.5,32.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,intersection(z,x1))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),x1)*. % 299.97/300.40 68124[0:Res:5257.5,31.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,intersection(z,x1))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),z)*. % 299.97/300.40 68115[0:Res:5257.5,10964.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,complement(complement(z))) -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),z)*. % 299.97/300.40 68114[0:Res:5257.5,34.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,complement(z)) member(f33(y,w,x,u,v),z)* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68111[6:Res:5257.5,10857.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,infinity) equal(successor(f33(y,w,x,u,v)),universal_set)** -> homomorphism(y,w,x,u,v). % 299.97/300.40 68233[0:Res:5302.5,282.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,restrict(z,x1))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),z)*. % 299.97/300.40 68231[0:Res:5302.5,15955.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,sigma(powerset(z))) -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),z)*. % 299.97/300.40 68228[0:Res:5302.5,32.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,intersection(z,x1))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),x1)*. % 299.97/300.40 68227[0:Res:5302.5,31.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,intersection(z,x1))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),z)*. % 299.97/300.40 68218[0:Res:5302.5,10964.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,complement(complement(z))) -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),z)*. % 299.97/300.40 68217[0:Res:5302.5,34.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,complement(z)) member(f32(y,w,x,u,v),z)* -> homomorphism(y,w,x,u,v). % 299.97/300.40 68214[6:Res:5302.5,10857.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,infinity) equal(successor(f32(y,w,x,u,v)),universal_set)** -> homomorphism(y,w,x,u,v). % 299.97/300.40 68417[0:SSi:68394.0,371.0] little_set(u) single_valued_set(complement(v)) || member(w,rotate_right(x)) member(w,complement(v)) -> member(ordered_pair(f9(w,x),u),v)* equal(u,ordered_pair(f10(w,x),f11(w,x)))*. % 299.97/300.40 68672[0:SSi:68644.0,371.0] little_set(u) single_valued_set(complement(v)) || member(w,flip_range_of(x)) member(w,complement(v)) -> member(ordered_pair(f12(w,x),u),v)* equal(u,ordered_pair(f13(w,x),f14(w,x)))*. % 299.97/300.40 68685[0:SSi:68684.0,371.0] single_valued_set(sigma(u)) || member(v,u)* member(w,flip_range_of(v)) member(w,sigma(u))* -> equal(ordered_pair(f14(w,v),f13(w,v)),ordered_pair(f13(w,v),f14(w,v)))**. % 299.97/300.40 69176[0:MRR:69155.0,5259.4] || equal(f33(u,v,w,x,y),z)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(singleton_set(z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.40 69177[0:MRR:69154.0,5259.4] || subset(f33(u,v,w,x,y),z)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(powerset(z),v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 69413[0:MRR:69393.0,5304.4] || equal(f32(u,v,w,x,y),z)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(singleton_set(z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.40 69414[0:MRR:69392.0,5304.4] || subset(f32(u,v,w,x,y),z)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(powerset(z),v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 70190[0:SSi:70173.0,371.0,371.0] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y)* member(v,rotate_right(complement(y)))*. % 299.97/300.40 70268[0:SSi:70251.0,371.0,371.0] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y)* member(v,rotate_right(complement(y)))*. % 299.97/300.40 70343[0:SSi:70323.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y)* member(v,flip_range_of(complement(y)))*. % 299.97/300.40 70414[0:SSi:70394.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y)* member(v,flip_range_of(complement(y)))*. % 299.97/300.40 70487[0:MRR:70460.0,1545.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(first(f22(v,w,x)),z)* member(u,image(complement(z),y))*. % 299.97/300.40 74073[0:SSi:74072.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,v)* member(singleton_set(singleton_set(ordered_pair(f10(v,w),f11(v,w)))),x)* member(v,y)* -> member(u,compose(y,x))*. % 299.97/300.40 74183[0:SSi:74182.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* member(singleton_set(singleton_set(ordered_pair(f13(v,w),f14(v,w)))),x)* member(v,y)* -> member(u,compose(y,x))*. % 299.97/300.40 82850[16:Res:82637.1,5163.4] little_set(u) || equal(first(f22(v,w,x)),a) member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(u,image(set_b,y))*. % 299.97/300.40 82840[16:Res:82637.1,6055.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(set_b))*. % 299.97/300.40 82839[16:Res:82637.1,6054.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(set_b))*. % 299.97/300.40 82836[16:Res:82637.1,5360.4] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(set_b))*. % 299.97/300.40 82835[16:Res:82637.1,5359.4] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(set_b))*. % 299.97/300.40 83003[3:Res:82638.1,5163.4] little_set(u) || equal(first(f22(v,w,x)),a) member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(u,image(set_a,y))*. % 299.97/300.40 82993[3:Res:82638.1,6055.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(set_a))*. % 299.97/300.40 82992[3:Res:82638.1,6054.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(set_a))*. % 299.97/300.40 82989[3:Res:82638.1,5360.4] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(set_a))*. % 299.97/300.40 82988[3:Res:82638.1,5359.4] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(set_a))*. % 299.97/300.40 83158[16:Res:82641.1,5163.4] little_set(u) || equal(first(f22(v,w,x)),a) member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(u,image(infinity,y))*. % 299.97/300.40 83148[16:Res:82641.1,6055.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(infinity))*. % 299.97/300.40 83147[16:Res:82641.1,6054.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(infinity))*. % 299.97/300.40 83144[16:Res:82641.1,5360.4] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(infinity))*. % 299.97/300.40 83143[16:Res:82641.1,5359.4] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(infinity))*. % 299.97/300.40 87725[16:Res:82665.1,5300.3] || equal(f32(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(sigma(infinity),v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 87724[16:Res:82665.1,5255.3] || equal(f33(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(sigma(infinity),v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 87669[16:Res:82665.1,5232.3] little_set(u) single_valued_set(sigma(infinity)) || equal(ordered_pair(f12(v,sigma(infinity)),u),a)** member(v,flip_range_of(sigma(infinity))) -> equal(u,ordered_pair(f14(v,sigma(infinity)),f13(v,sigma(infinity))))*. % 299.97/300.40 87668[16:Res:82665.1,5230.3] little_set(u) single_valued_set(sigma(infinity)) || equal(ordered_pair(f10(v,sigma(infinity)),u),a)** member(v,rotate_right(sigma(infinity))) -> equal(u,ordered_pair(f11(v,sigma(infinity)),f9(v,sigma(infinity))))*. % 299.97/300.40 87665[16:Res:82665.1,5233.4] little_set(u) single_valued_set(sigma(infinity)) || equal(ordered_pair(f29(v,w,x),u),a)** member(v,compose(w,x)) member(v,sigma(infinity)) -> equal(u,f30(v,w,x)). % 299.97/300.40 87879[16:Res:82681.1,5300.3] || equal(f32(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(successor(a),v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 87878[16:Res:82681.1,5255.3] || equal(f33(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(successor(a),v) -> homomorphism(u,v,w,x,y). % 299.97/300.40 87823[16:Res:82681.1,5232.3] little_set(u) single_valued_set(successor(a)) || equal(ordered_pair(f12(v,successor(a)),u),a)** member(v,flip_range_of(successor(a))) -> equal(u,ordered_pair(f14(v,successor(a)),f13(v,successor(a))))*. % 299.97/300.40 87822[16:Res:82681.1,5230.3] little_set(u) single_valued_set(successor(a)) || equal(ordered_pair(f10(v,successor(a)),u),a)** member(v,rotate_right(successor(a))) -> equal(u,ordered_pair(f11(v,successor(a)),f9(v,successor(a))))*. % 299.97/300.40 87819[16:Res:82681.1,5233.4] little_set(u) single_valued_set(successor(a)) || equal(ordered_pair(f29(v,w,x),u),a)** member(v,compose(w,x)) member(v,successor(a)) -> equal(u,f30(v,w,x)). % 299.97/300.40 88155[3:Res:82671.1,8204.3] little_set(u) little_set(v) || equal(ordered_pair(u,f3(w)),infinity) equal(v,w) member(ordered_pair(f2(w),u),x) -> member(v,compose(x,singleton_set(ordered_pair(u,f3(w)))))*. % 299.97/300.40 88140[3:Res:82671.1,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(singleton_set(ordered_pair(w,u))) || equal(ordered_pair(w,u),infinity) member(ordered_pair(w,v),singleton_set(ordered_pair(w,u)))* -> equal(v,u). % 299.97/300.40 88106[3:Res:82671.1,18198.1] ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),infinity) member(first(ordered_pair(second(u),first(u))),v) -> member(u,converse(cross_product(v,singleton_set(second(ordered_pair(second(u),first(u)))))))*. % 299.97/300.40 88445[16:Res:57853.0,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(complement(complement(ordered_pair(f13(u,v),f14(u,v)))),a) member(f24(complement(complement(ordered_pair(f13(u,v),f14(u,v))))),second(w))*. % 299.97/300.40 88444[16:Res:57853.0,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(complement(complement(ordered_pair(f10(u,v),f11(u,v)))),a) member(f24(complement(complement(ordered_pair(f10(u,v),f11(u,v))))),second(w))*. % 299.97/300.40 89536[0:Res:4286.1,43745.1] || member(u,compose(v,intersection(w,flip_range_of(complement(flip_range_of(x)))))) member(ordered_pair(f31(u,v,intersection(w,flip_range_of(complement(flip_range_of(x))))),f30(u,v,intersection(w,flip_range_of(complement(flip_range_of(x)))))),x)* -> . % 299.97/300.40 89500[0:Res:4361.1,43745.1] || member(u,compose(intersection(v,flip_range_of(complement(flip_range_of(w)))),x)) member(ordered_pair(f29(u,intersection(v,flip_range_of(complement(flip_range_of(w)))),x),f31(u,intersection(v,flip_range_of(complement(flip_range_of(w)))),x)),w)* -> . % 299.97/300.40 89493[0:Res:4285.1,43745.1] || member(u,compose(v,intersection(flip_range_of(complement(flip_range_of(w))),x))) member(ordered_pair(f31(u,v,intersection(flip_range_of(complement(flip_range_of(w))),x)),f30(u,v,intersection(flip_range_of(complement(flip_range_of(w))),x))),w)* -> . % 299.97/300.40 89483[0:Res:4360.1,43745.1] || member(u,compose(intersection(flip_range_of(complement(flip_range_of(v))),w),x)) member(ordered_pair(f29(u,intersection(flip_range_of(complement(flip_range_of(v))),w),x),f31(u,intersection(flip_range_of(complement(flip_range_of(v))),w),x)),v)* -> . % 299.97/300.40 92732[0:Res:4286.1,19261.0] || member(u,compose(v,intersection(w,sigma(intersection(x,y))))) -> member(ordered_pair(f31(u,v,intersection(w,sigma(intersection(x,y)))),f30(u,v,intersection(w,sigma(intersection(x,y))))),sigma(x))*. % 299.97/300.40 92676[0:Res:4361.1,19261.0] || member(u,compose(intersection(v,sigma(intersection(w,x))),y)) -> member(ordered_pair(f29(u,intersection(v,sigma(intersection(w,x))),y),f31(u,intersection(v,sigma(intersection(w,x))),y)),sigma(w))*. % 299.97/300.40 92669[0:Res:4285.1,19261.0] || member(u,compose(v,intersection(sigma(intersection(w,x)),y))) -> member(ordered_pair(f31(u,v,intersection(sigma(intersection(w,x)),y)),f30(u,v,intersection(sigma(intersection(w,x)),y))),sigma(w))*. % 299.97/300.40 92659[0:Res:4360.1,19261.0] || member(u,compose(intersection(sigma(intersection(v,w)),x),y)) -> member(ordered_pair(f29(u,intersection(sigma(intersection(v,w)),x),y),f31(u,intersection(sigma(intersection(v,w)),x),y)),sigma(v))*. % 299.97/300.40 92934[0:Res:4286.1,19263.0] || member(u,compose(v,intersection(w,sigma(intersection(x,y))))) -> member(ordered_pair(f31(u,v,intersection(w,sigma(intersection(x,y)))),f30(u,v,intersection(w,sigma(intersection(x,y))))),sigma(y))*. % 299.97/300.40 92878[0:Res:4361.1,19263.0] || member(u,compose(intersection(v,sigma(intersection(w,x))),y)) -> member(ordered_pair(f29(u,intersection(v,sigma(intersection(w,x))),y),f31(u,intersection(v,sigma(intersection(w,x))),y)),sigma(x))*. % 299.97/300.40 92871[0:Res:4285.1,19263.0] || member(u,compose(v,intersection(sigma(intersection(w,x)),y))) -> member(ordered_pair(f31(u,v,intersection(sigma(intersection(w,x)),y)),f30(u,v,intersection(sigma(intersection(w,x)),y))),sigma(x))*. % 299.97/300.40 92861[0:Res:4360.1,19263.0] || member(u,compose(intersection(sigma(intersection(v,w)),x),y)) -> member(ordered_pair(f29(u,intersection(sigma(intersection(v,w)),x),y),f31(u,intersection(sigma(intersection(v,w)),x),y)),sigma(w))*. % 299.97/300.40 94241[16:Res:57719.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(restrict(ordered_pair(f13(u,v),f14(u,v)),x),a) member(f24(restrict(ordered_pair(f13(u,v),f14(u,v)),x)),second(w))*. % 299.97/300.40 94240[16:Res:57719.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(restrict(ordered_pair(f10(u,v),f11(u,v)),x),a) member(f24(restrict(ordered_pair(f10(u,v),f11(u,v)),x)),second(w))*. % 299.97/300.40 97759[0:Res:4279.1,2899.0] || member(u,compose(v,cross_product(w,domain_of(singleton_set(x))))) -> equal(f8(second(ordered_pair(f31(u,v,cross_product(w,domain_of(singleton_set(x)))),f30(u,v,cross_product(w,domain_of(singleton_set(x)))))),singleton_set(x)),x)**. % 299.97/300.40 97752[0:Res:4278.1,2899.0] || member(u,compose(v,cross_product(domain_of(singleton_set(w)),x))) -> equal(f8(first(ordered_pair(f31(u,v,cross_product(domain_of(singleton_set(w)),x)),f30(u,v,cross_product(domain_of(singleton_set(w)),x)))),singleton_set(w)),w)**. % 299.97/300.40 97742[0:Res:4353.1,2899.0] || member(u,compose(cross_product(domain_of(singleton_set(v)),w),x)) -> equal(f8(first(ordered_pair(f29(u,cross_product(domain_of(singleton_set(v)),w),x),f31(u,cross_product(domain_of(singleton_set(v)),w),x))),singleton_set(v)),v)**. % 299.97/300.40 97680[0:Res:4354.1,2899.0] || member(u,compose(cross_product(v,domain_of(singleton_set(w))),x)) -> equal(f8(second(ordered_pair(f29(u,cross_product(v,domain_of(singleton_set(w))),x),f31(u,cross_product(v,domain_of(singleton_set(w))),x))),singleton_set(w)),w)**. % 299.97/300.40 97996[0:Res:4279.1,2938.0] || member(u,compose(v,cross_product(w,sigma(singleton_set(x))))) -> equal(f16(second(ordered_pair(f31(u,v,cross_product(w,sigma(singleton_set(x)))),f30(u,v,cross_product(w,sigma(singleton_set(x)))))),singleton_set(x)),x)**. % 299.97/300.40 97965[0:Res:4278.1,2938.0] || member(u,compose(v,cross_product(sigma(singleton_set(w)),x))) -> equal(f16(first(ordered_pair(f31(u,v,cross_product(sigma(singleton_set(w)),x)),f30(u,v,cross_product(sigma(singleton_set(w)),x)))),singleton_set(w)),w)**. % 299.97/300.40 97955[0:Res:4353.1,2938.0] || member(u,compose(cross_product(sigma(singleton_set(v)),w),x)) -> equal(f16(first(ordered_pair(f29(u,cross_product(sigma(singleton_set(v)),w),x),f31(u,cross_product(sigma(singleton_set(v)),w),x))),singleton_set(v)),v)**. % 299.97/300.40 97893[0:Res:4354.1,2938.0] || member(u,compose(cross_product(v,sigma(singleton_set(w))),x)) -> equal(f16(second(ordered_pair(f29(u,cross_product(v,sigma(singleton_set(w))),x),f31(u,cross_product(v,sigma(singleton_set(w))),x))),singleton_set(w)),w)**. % 299.97/300.40 98215[0:Res:4279.1,2959.0] || member(u,compose(v,cross_product(w,range_of(singleton_set(x))))) -> equal(f27(second(ordered_pair(f31(u,v,cross_product(w,range_of(singleton_set(x)))),f30(u,v,cross_product(w,range_of(singleton_set(x)))))),singleton_set(x)),x)**. % 299.97/300.40 98208[0:Res:4278.1,2959.0] || member(u,compose(v,cross_product(range_of(singleton_set(w)),x))) -> equal(f27(first(ordered_pair(f31(u,v,cross_product(range_of(singleton_set(w)),x)),f30(u,v,cross_product(range_of(singleton_set(w)),x)))),singleton_set(w)),w)**. % 299.97/300.40 98198[0:Res:4353.1,2959.0] || member(u,compose(cross_product(range_of(singleton_set(v)),w),x)) -> equal(f27(first(ordered_pair(f29(u,cross_product(range_of(singleton_set(v)),w),x),f31(u,cross_product(range_of(singleton_set(v)),w),x))),singleton_set(v)),v)**. % 299.97/300.40 98136[0:Res:4354.1,2959.0] || member(u,compose(cross_product(v,range_of(singleton_set(w))),x)) -> equal(f27(second(ordered_pair(f29(u,cross_product(v,range_of(singleton_set(w))),x),f31(u,cross_product(v,range_of(singleton_set(w))),x))),singleton_set(w)),w)**. % 299.97/300.40 99705[0:Res:22366.2,6077.3] ordered_pair_predicate(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(v,w),f2(u))* member(ordered_pair(x,v),y)* -> member(ordered_pair(x,w),compose(y,first(u)))*. % 299.97/300.40 99685[0:Res:22366.2,82.4] ordered_pair_predicate(u) little_set(v) little_set(w) little_set(x) single_valued_set(first(u)) || member(ordered_pair(x,v),f2(u))* member(ordered_pair(x,w),first(u))* -> equal(w,v)*. % 299.97/300.40 99902[0:Res:22612.2,6077.3] ordered_pair_predicate(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(v,w),f3(u))* member(ordered_pair(x,v),y)* -> member(ordered_pair(x,w),compose(y,second(u)))*. % 299.97/300.40 99879[0:Res:22612.2,82.4] ordered_pair_predicate(u) little_set(v) little_set(w) little_set(x) single_valued_set(second(u)) || member(ordered_pair(x,v),f3(u))* member(ordered_pair(x,w),second(u))* -> equal(w,v)*. % 299.97/300.40 100035[16:Res:59019.2,1558.0] || subset(u,image(non_ordered_pair(v,w),x)) -> equal(u,a) equal(first(f22(f1(u,a),non_ordered_pair(v,w),x)),w)** equal(first(f22(f1(u,a),non_ordered_pair(v,w),x)),v)**. % 299.97/300.40 100648[16:Res:59021.2,1558.0] || subset(u,image(non_ordered_pair(v,w),x)) -> equal(a,u) equal(first(f22(f1(a,u),non_ordered_pair(v,w),x)),w)** equal(first(f22(f1(a,u),non_ordered_pair(v,w),x)),v)**. % 299.97/300.40 105391[0:Res:3817.2,26698.0] || -> equal(u,cross_product(apply(cross_product(v,w),x),y)) member(f1(u,cross_product(apply(cross_product(v,w),x),y)),u)* member(first(f1(u,cross_product(apply(cross_product(v,w),x),y))),sigma(w))*. % 299.97/300.40 105381[0:Res:3835.2,26698.0] || -> equal(cross_product(apply(cross_product(u,v),w),x),y) member(f1(cross_product(apply(cross_product(u,v),w),x),y),y)* member(first(f1(cross_product(apply(cross_product(u,v),w),x),y)),sigma(v))*. % 299.97/300.40 105348[0:Res:3836.1,26698.0] || -> equal(cross_product(u,v),apply(cross_product(w,x),y)) member(second(f1(cross_product(u,v),apply(cross_product(w,x),y))),v)* member(f1(cross_product(u,v),apply(cross_product(w,x),y)),sigma(x))*. % 299.97/300.40 105347[0:Res:3835.1,26698.0] || -> equal(cross_product(u,v),apply(cross_product(w,x),y)) member(first(f1(cross_product(u,v),apply(cross_product(w,x),y))),u)* member(f1(cross_product(u,v),apply(cross_product(w,x),y)),sigma(x))*. % 299.97/300.40 105329[0:Res:3818.2,26698.0] || -> equal(u,cross_product(v,apply(cross_product(w,x),y))) member(f1(u,cross_product(v,apply(cross_product(w,x),y))),u)* member(second(f1(u,cross_product(v,apply(cross_product(w,x),y)))),sigma(x))*. % 299.97/300.40 105315[0:Res:3836.2,26698.0] || -> equal(cross_product(u,apply(cross_product(v,w),x)),y) member(f1(cross_product(u,apply(cross_product(v,w),x)),y),y)* member(second(f1(cross_product(u,apply(cross_product(v,w),x)),y)),sigma(w))*. % 299.97/300.40 105254[0:Res:3818.1,26698.0] || -> equal(apply(cross_product(u,v),w),cross_product(x,y)) member(second(f1(apply(cross_product(u,v),w),cross_product(x,y))),y)* member(f1(apply(cross_product(u,v),w),cross_product(x,y)),sigma(v))*. % 299.97/300.40 105253[0:Res:3817.1,26698.0] || -> equal(apply(cross_product(u,v),w),cross_product(x,y)) member(first(f1(apply(cross_product(u,v),w),cross_product(x,y))),x)* member(f1(apply(cross_product(u,v),w),cross_product(x,y)),sigma(v))*. % 299.97/300.40 9428[0:Res:142.3,4549.0] || closed(u,v) closed(flip_range_of(w),x) maps(y,flip_range_of(w),u) equal(z,f32(y,flip_range_of(w),x,u,v))* -> homomorphism(y,flip_range_of(w),x,u,v) ordered_pair_predicate(z)*. % 299.97/300.40 9427[0:Res:143.3,4549.0] || closed(u,v) closed(flip_range_of(w),x) maps(y,flip_range_of(w),u) equal(z,f33(y,flip_range_of(w),x,u,v))* -> homomorphism(y,flip_range_of(w),x,u,v) ordered_pair_predicate(z)*. % 299.97/300.40 9709[0:Res:142.3,4578.0] || closed(u,v) closed(rotate_right(w),x) maps(y,rotate_right(w),u) equal(z,f32(y,rotate_right(w),x,u,v))* -> homomorphism(y,rotate_right(w),x,u,v) ordered_pair_predicate(z)*. % 299.97/300.40 9708[0:Res:143.3,4578.0] || closed(u,v) closed(rotate_right(w),x) maps(y,rotate_right(w),u) equal(z,f33(y,rotate_right(w),x,u,v))* -> homomorphism(y,rotate_right(w),x,u,v) ordered_pair_predicate(z)*. % 299.97/300.40 9858[0:Res:52.1,1354.0] || member(u,rotate_right(image(v,cross_product(w,x)))) -> member(ordered_pair(f10(u,image(v,cross_product(w,x))),ordered_pair(f11(u,image(v,cross_product(w,x))),f9(u,image(v,cross_product(w,x))))),x)*. % 299.97/300.40 9857[0:Res:58.1,1354.0] || member(u,flip_range_of(image(v,cross_product(w,x)))) -> member(ordered_pair(f12(u,image(v,cross_product(w,x))),ordered_pair(f14(u,image(v,cross_product(w,x))),f13(u,image(v,cross_product(w,x))))),x)*. % 299.97/300.40 19576[0:Res:546.1,1014.0] || member(u,domain_of(cross_product(v,converse(cross_product(w,x))))) -> member(first(ordered_pair(second(second(f8(u,cross_product(v,converse(cross_product(w,x)))))),first(second(f8(u,cross_product(v,converse(cross_product(w,x)))))))),w)*. % 299.97/300.40 19575[0:Res:546.1,1015.0] || member(u,domain_of(cross_product(v,converse(cross_product(w,x))))) -> member(second(ordered_pair(second(second(f8(u,cross_product(v,converse(cross_product(w,x)))))),first(second(f8(u,cross_product(v,converse(cross_product(w,x)))))))),x)*. % 299.97/300.40 20661[0:Res:545.1,1014.0] || member(u,sigma(cross_product(v,converse(cross_product(w,x))))) -> member(first(ordered_pair(second(second(f16(u,cross_product(v,converse(cross_product(w,x)))))),first(second(f16(u,cross_product(v,converse(cross_product(w,x)))))))),w)*. % 299.97/300.40 20660[0:Res:545.1,1015.0] || member(u,sigma(cross_product(v,converse(cross_product(w,x))))) -> member(second(ordered_pair(second(second(f16(u,cross_product(v,converse(cross_product(w,x)))))),first(second(f16(u,cross_product(v,converse(cross_product(w,x)))))))),x)*. % 299.97/300.40 20769[0:Res:558.1,1014.0] || member(u,sigma(cross_product(converse(cross_product(v,w)),x))) -> member(first(ordered_pair(second(first(f16(u,cross_product(converse(cross_product(v,w)),x)))),first(first(f16(u,cross_product(converse(cross_product(v,w)),x)))))),v)*. % 299.97/300.40 20768[0:Res:558.1,1015.0] || member(u,sigma(cross_product(converse(cross_product(v,w)),x))) -> member(second(ordered_pair(second(first(f16(u,cross_product(converse(cross_product(v,w)),x)))),first(first(f16(u,cross_product(converse(cross_product(v,w)),x)))))),w)*. % 299.97/300.40 20904[0:Res:557.1,1014.0] || member(u,range_of(cross_product(converse(cross_product(v,w)),x))) -> member(first(ordered_pair(second(first(f27(u,cross_product(converse(cross_product(v,w)),x)))),first(first(f27(u,cross_product(converse(cross_product(v,w)),x)))))),v)*. % 299.97/300.40 20903[0:Res:557.1,1015.0] || member(u,range_of(cross_product(converse(cross_product(v,w)),x))) -> member(second(ordered_pair(second(first(f27(u,cross_product(converse(cross_product(v,w)),x)))),first(first(f27(u,cross_product(converse(cross_product(v,w)),x)))))),w)*. % 299.97/300.40 25095[0:Res:3651.2,3823.0] || member(f1(u,complement(restrict(v,w))),cross_product(w,universal_set))* member(f1(u,complement(restrict(v,w))),v)* -> equal(u,complement(restrict(v,w))) member(f1(u,complement(restrict(v,w))),u)*. % 299.97/300.40 25120[3:MRR:25082.0,6237.1] || member(second(f1(u,complement(cross_product(v,w)))),w)* member(first(f1(u,complement(cross_product(v,w)))),v)* -> equal(u,complement(cross_product(v,w))) member(f1(u,complement(cross_product(v,w))),u)*. % 299.97/300.40 25161[0:Res:3651.2,3841.0] || member(f1(complement(restrict(u,v)),w),cross_product(v,universal_set))* member(f1(complement(restrict(u,v)),w),u)* -> equal(complement(restrict(u,v)),w) member(f1(complement(restrict(u,v)),w),w)*. % 299.97/300.40 25188[3:MRR:25148.0,6237.1] || member(second(f1(complement(cross_product(u,v)),w)),v)* member(first(f1(complement(cross_product(u,v)),w)),u)* -> equal(complement(cross_product(u,v)),w) member(f1(complement(cross_product(u,v)),w),w)*. % 299.97/300.40 25238[0:Res:3651.2,4164.0] || member(f1(restrict(u,v),complement(w)),cross_product(v,universal_set))* member(f1(restrict(u,v),complement(w)),u)* -> member(f1(restrict(u,v),complement(w)),w)* equal(restrict(u,v),complement(w)). % 299.97/300.40 25261[3:MRR:25225.0,6237.1] || member(second(f1(cross_product(u,v),complement(w))),v)* member(first(f1(cross_product(u,v),complement(w))),u)* -> member(f1(cross_product(u,v),complement(w)),w)* equal(cross_product(u,v),complement(w)). % 299.97/300.40 25770[0:Res:1344.1,1009.0] || member(u,image(v,cross_product(converse(w),x))) subset(w,y) -> member(ordered_pair(second(first(f22(u,v,cross_product(converse(w),x)))),first(first(f22(u,v,cross_product(converse(w),x))))),y)*. % 299.97/300.40 25907[0:Res:1555.1,1009.0] || member(u,image(intersection(converse(v),w),x)) subset(v,y) -> member(ordered_pair(second(first(f22(u,intersection(converse(v),w),x))),first(first(f22(u,intersection(converse(v),w),x)))),y)*. % 299.97/300.40 26064[0:Res:1556.1,1009.0] || member(u,image(intersection(v,converse(w)),x)) subset(w,y) -> member(ordered_pair(second(first(f22(u,intersection(v,converse(w)),x))),first(first(f22(u,intersection(v,converse(w)),x)))),y)*. % 299.97/300.40 26134[0:Res:1280.1,1009.0] || member(u,apply(cross_product(v,converse(w)),x)) subset(w,y) -> member(ordered_pair(second(second(f28(u,cross_product(v,converse(w)),x))),first(second(f28(u,cross_product(v,converse(w)),x)))),y)*. % 299.97/300.40 26354[0:Res:234.1,3812.0] || -> single_valued_set(powerset(u)) equal(v,ordered_pair(f19(powerset(u)),f20(powerset(u)))) member(f1(v,ordered_pair(f19(powerset(u)),f20(powerset(u)))),v)* member(f1(v,ordered_pair(f19(powerset(u)),f20(powerset(u)))),u)*. % 299.97/300.40 26353[0:Res:225.1,3812.0] || -> single_valued_set(powerset(u)) equal(v,ordered_pair(f19(powerset(u)),f21(powerset(u)))) member(f1(v,ordered_pair(f19(powerset(u)),f21(powerset(u)))),v)* member(f1(v,ordered_pair(f19(powerset(u)),f21(powerset(u)))),u)*. % 299.97/300.40 26483[0:Res:234.1,3830.0] || -> single_valued_set(powerset(u)) equal(ordered_pair(f19(powerset(u)),f20(powerset(u))),v) member(f1(ordered_pair(f19(powerset(u)),f20(powerset(u))),v),v)* member(f1(ordered_pair(f19(powerset(u)),f20(powerset(u))),v),u)*. % 299.97/300.40 26482[0:Res:225.1,3830.0] || -> single_valued_set(powerset(u)) equal(ordered_pair(f19(powerset(u)),f21(powerset(u))),v) member(f1(ordered_pair(f19(powerset(u)),f21(powerset(u))),v),v)* member(f1(ordered_pair(f19(powerset(u)),f21(powerset(u))),v),u)*. % 299.97/300.40 27053[0:Res:1549.1,8.0] || member(u,image(cross_product(non_ordered_pair(v,w),x),y)) -> equal(first(first(f22(u,cross_product(non_ordered_pair(v,w),x),y))),w)** equal(first(first(f22(u,cross_product(non_ordered_pair(v,w),x),y))),v)**. % 299.97/300.40 27198[0:Res:1550.1,8.0] || member(u,image(cross_product(v,non_ordered_pair(w,x)),y)) -> equal(second(first(f22(u,cross_product(v,non_ordered_pair(w,x)),y))),x)** equal(second(first(f22(u,cross_product(v,non_ordered_pair(w,x)),y))),w)**. % 299.97/300.40 28602[0:Res:1273.2,3811.0] || member(u,apply(v,w)) member(v,x) -> equal(y,f28(u,v,w)) member(f1(y,f28(u,v,w)),y)* member(f1(y,f28(u,v,w)),sigma(sigma(x)))*. % 299.97/300.40 28601[0:Res:1338.2,3811.0] || member(u,image(v,w)) member(w,x) -> equal(y,f22(u,v,w)) member(f1(y,f22(u,v,w)),y)* member(f1(y,f22(u,v,w)),sigma(sigma(x)))*. % 299.97/300.40 28571[0:Res:556.1,3811.0] || -> disjoint(u,cross_product(v,w)) equal(x,first(f23(u,cross_product(v,w)))) member(f1(x,first(f23(u,cross_product(v,w)))),x)* member(f1(x,first(f23(u,cross_product(v,w)))),sigma(v))*. % 299.97/300.40 28568[0:Res:552.1,3811.0] || -> subset(cross_product(u,v),w) equal(x,first(f17(cross_product(u,v),w))) member(f1(x,first(f17(cross_product(u,v),w))),x)* member(f1(x,first(f17(cross_product(u,v),w))),sigma(u))*. % 299.97/300.40 28567[0:Res:551.1,3811.0] || -> disjoint(cross_product(u,v),w) equal(x,first(f23(cross_product(u,v),w))) member(f1(x,first(f23(cross_product(u,v),w))),x)* member(f1(x,first(f23(cross_product(u,v),w))),sigma(u))*. % 299.97/300.40 28550[0:Res:4115.1,3811.0] ordered_pair_predicate(u) || -> member(u,converse(complement(v))) equal(w,ordered_pair(second(u),first(u))) member(f1(w,ordered_pair(second(u),first(u))),w)* member(f1(w,ordered_pair(second(u),first(u))),sigma(v))*. % 299.97/300.40 28530[0:Res:543.1,3811.0] || -> disjoint(u,cross_product(v,w)) equal(x,second(f23(u,cross_product(v,w)))) member(f1(x,second(f23(u,cross_product(v,w)))),x)* member(f1(x,second(f23(u,cross_product(v,w)))),sigma(w))*. % 299.97/300.40 28523[0:Res:539.1,3811.0] || -> subset(cross_product(u,v),w) equal(x,second(f17(cross_product(u,v),w))) member(f1(x,second(f17(cross_product(u,v),w))),x)* member(f1(x,second(f17(cross_product(u,v),w))),sigma(v))*. % 299.97/300.40 28522[0:Res:538.1,3811.0] || -> disjoint(cross_product(u,v),w) equal(x,second(f23(cross_product(u,v),w))) member(f1(x,second(f23(cross_product(u,v),w))),x)* member(f1(x,second(f23(cross_product(u,v),w))),sigma(v))*. % 299.97/300.40 28980[0:Res:1273.2,3829.0] || member(u,apply(v,w)) member(v,x) -> equal(f28(u,v,w),y) member(f1(f28(u,v,w),y),y)* member(f1(f28(u,v,w),y),sigma(sigma(x)))*. % 299.97/300.40 28979[0:Res:1338.2,3829.0] || member(u,image(v,w)) member(w,x) -> equal(f22(u,v,w),y) member(f1(f22(u,v,w),y),y)* member(f1(f22(u,v,w),y),sigma(sigma(x)))*. % 299.97/300.40 28948[0:Res:556.1,3829.0] || -> disjoint(u,cross_product(v,w)) equal(first(f23(u,cross_product(v,w))),x) member(f1(first(f23(u,cross_product(v,w))),x),x)* member(f1(first(f23(u,cross_product(v,w))),x),sigma(v))*. % 299.97/300.40 28945[0:Res:552.1,3829.0] || -> subset(cross_product(u,v),w) equal(first(f17(cross_product(u,v),w)),x) member(f1(first(f17(cross_product(u,v),w)),x),x)* member(f1(first(f17(cross_product(u,v),w)),x),sigma(u))*. % 299.97/300.40 28944[0:Res:551.1,3829.0] || -> disjoint(cross_product(u,v),w) equal(first(f23(cross_product(u,v),w)),x) member(f1(first(f23(cross_product(u,v),w)),x),x)* member(f1(first(f23(cross_product(u,v),w)),x),sigma(u))*. % 299.97/300.40 28927[0:Res:4115.1,3829.0] ordered_pair_predicate(u) || -> member(u,converse(complement(v))) equal(ordered_pair(second(u),first(u)),w) member(f1(ordered_pair(second(u),first(u)),w),w)* member(f1(ordered_pair(second(u),first(u)),w),sigma(v))*. % 299.97/300.40 28907[0:Res:543.1,3829.0] || -> disjoint(u,cross_product(v,w)) equal(second(f23(u,cross_product(v,w))),x) member(f1(second(f23(u,cross_product(v,w))),x),x)* member(f1(second(f23(u,cross_product(v,w))),x),sigma(w))*. % 299.97/300.40 28900[0:Res:539.1,3829.0] || -> subset(cross_product(u,v),w) equal(second(f17(cross_product(u,v),w)),x) member(f1(second(f17(cross_product(u,v),w)),x),x)* member(f1(second(f17(cross_product(u,v),w)),x),sigma(v))*. % 299.97/300.40 28899[0:Res:538.1,3829.0] || -> disjoint(cross_product(u,v),w) equal(second(f23(cross_product(u,v),w)),x) member(f1(second(f23(cross_product(u,v),w)),x),x)* member(f1(second(f23(cross_product(u,v),w)),x),sigma(v))*. % 299.97/300.40 31429[0:Res:3824.2,314.0] || member(f1(u,intersection(intersection(complement(v),complement(w)),x)),union(v,w))* -> equal(u,intersection(intersection(complement(v),complement(w)),x)) member(f1(u,intersection(intersection(complement(v),complement(w)),x)),u)*. % 299.97/300.40 31408[0:Res:3824.2,8.0] || -> equal(u,intersection(non_ordered_pair(v,w),x)) member(f1(u,intersection(non_ordered_pair(v,w),x)),u)* equal(f1(u,intersection(non_ordered_pair(v,w),x)),w) equal(f1(u,intersection(non_ordered_pair(v,w),x)),v). % 299.97/300.40 31371[0:Res:3824.1,314.0] || member(f1(intersection(complement(u),complement(v)),intersection(w,x)),union(u,v))* -> equal(intersection(complement(u),complement(v)),intersection(w,x)) member(f1(intersection(complement(u),complement(v)),intersection(w,x)),w)*. % 299.97/300.40 31350[0:Res:3824.1,8.0] || -> equal(non_ordered_pair(u,v),intersection(w,x)) member(f1(non_ordered_pair(u,v),intersection(w,x)),w)* equal(f1(non_ordered_pair(u,v),intersection(w,x)),v) equal(f1(non_ordered_pair(u,v),intersection(w,x)),u). % 299.97/300.40 31639[0:Res:3825.2,314.0] || member(f1(u,intersection(v,intersection(complement(w),complement(x)))),union(w,x))* -> equal(u,intersection(v,intersection(complement(w),complement(x)))) member(f1(u,intersection(v,intersection(complement(w),complement(x)))),u)*. % 299.97/300.40 31618[0:Res:3825.2,8.0] || -> equal(u,intersection(v,non_ordered_pair(w,x))) member(f1(u,intersection(v,non_ordered_pair(w,x))),u)* equal(f1(u,intersection(v,non_ordered_pair(w,x))),x) equal(f1(u,intersection(v,non_ordered_pair(w,x))),w). % 299.97/300.40 31581[0:Res:3825.1,314.0] || member(f1(intersection(complement(u),complement(v)),intersection(w,x)),union(u,v))* -> equal(intersection(complement(u),complement(v)),intersection(w,x)) member(f1(intersection(complement(u),complement(v)),intersection(w,x)),x)*. % 299.97/300.40 31560[0:Res:3825.1,8.0] || -> equal(non_ordered_pair(u,v),intersection(w,x)) member(f1(non_ordered_pair(u,v),intersection(w,x)),x)* equal(f1(non_ordered_pair(u,v),intersection(w,x)),v) equal(f1(non_ordered_pair(u,v),intersection(w,x)),u). % 299.97/300.40 31822[0:Res:3842.2,314.0] || member(f1(intersection(intersection(complement(u),complement(v)),w),x),union(u,v))* -> equal(intersection(intersection(complement(u),complement(v)),w),x) member(f1(intersection(intersection(complement(u),complement(v)),w),x),x)*. % 299.97/300.40 31801[0:Res:3842.2,8.0] || -> equal(intersection(non_ordered_pair(u,v),w),x) member(f1(intersection(non_ordered_pair(u,v),w),x),x)* equal(f1(intersection(non_ordered_pair(u,v),w),x),v) equal(f1(intersection(non_ordered_pair(u,v),w),x),u). % 299.97/300.40 31764[0:Res:3842.1,314.0] || member(f1(intersection(u,v),intersection(complement(w),complement(x))),union(w,x))* -> equal(intersection(u,v),intersection(complement(w),complement(x))) member(f1(intersection(u,v),intersection(complement(w),complement(x))),u)*. % 299.97/300.40 31743[0:Res:3842.1,8.0] || -> equal(intersection(u,v),non_ordered_pair(w,x)) member(f1(intersection(u,v),non_ordered_pair(w,x)),u)* equal(f1(intersection(u,v),non_ordered_pair(w,x)),x) equal(f1(intersection(u,v),non_ordered_pair(w,x)),w). % 299.97/300.40 32003[0:Res:3843.2,314.0] || member(f1(intersection(u,intersection(complement(v),complement(w))),x),union(v,w))* -> equal(intersection(u,intersection(complement(v),complement(w))),x) member(f1(intersection(u,intersection(complement(v),complement(w))),x),x)*. % 299.97/300.40 31982[0:Res:3843.2,8.0] || -> equal(intersection(u,non_ordered_pair(v,w)),x) member(f1(intersection(u,non_ordered_pair(v,w)),x),x)* equal(f1(intersection(u,non_ordered_pair(v,w)),x),w) equal(f1(intersection(u,non_ordered_pair(v,w)),x),v). % 299.97/300.40 31945[0:Res:3843.1,314.0] || member(f1(intersection(u,v),intersection(complement(w),complement(x))),union(w,x))* -> equal(intersection(u,v),intersection(complement(w),complement(x))) member(f1(intersection(u,v),intersection(complement(w),complement(x))),v)*. % 299.97/300.40 31924[0:Res:3843.1,8.0] || -> equal(intersection(u,v),non_ordered_pair(w,x)) member(f1(intersection(u,v),non_ordered_pair(w,x)),v)* equal(f1(intersection(u,v),non_ordered_pair(w,x)),x) equal(f1(intersection(u,v),non_ordered_pair(w,x)),w). % 299.97/300.40 32157[0:Res:1008.2,1009.0] || member(u,range_of(v)) member(f27(u,v),converse(converse(w)))* subset(w,x)* -> member(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),x)*. % 299.97/300.40 32328[0:Res:1007.2,1009.0] || member(u,domain_of(v)) member(f8(u,v),converse(converse(w)))* subset(w,x)* -> member(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),x)*. % 299.97/300.40 32832[3:Res:3836.2,6192.1] || member(u,v) equal(first(u),w) -> equal(cross_product(x,second(u)),y) member(f1(cross_product(x,second(u)),y),y)* member(second(f1(cross_product(x,second(u)),y)),apply(v,w))*. % 299.97/300.40 32777[3:Res:3836.1,6192.1] || member(u,v) equal(first(u),w) -> equal(cross_product(x,y),second(u)) member(second(f1(cross_product(x,y),second(u))),y)* member(f1(cross_product(x,y),second(u)),apply(v,w))*. % 299.97/300.40 32997[3:Res:3835.2,6192.1] || member(u,v) equal(first(u),w) -> equal(cross_product(second(u),x),y) member(f1(cross_product(second(u),x),y),y)* member(first(f1(cross_product(second(u),x),y)),apply(v,w))*. % 299.97/300.40 32942[3:Res:3835.1,6192.1] || member(u,v) equal(first(u),w) -> equal(cross_product(x,y),second(u)) member(first(f1(cross_product(x,y),second(u))),x)* member(f1(cross_product(x,y),second(u)),apply(v,w))*. % 299.97/300.40 33168[3:Res:3818.2,6192.1] || member(u,v) equal(first(u),w) -> equal(x,cross_product(y,second(u))) member(f1(x,cross_product(y,second(u))),x)* member(second(f1(x,cross_product(y,second(u)))),apply(v,w))*. % 299.97/300.40 33113[3:Res:3818.1,6192.1] || member(u,v) equal(first(u),w) -> equal(second(u),cross_product(x,y)) member(second(f1(second(u),cross_product(x,y))),y)* member(f1(second(u),cross_product(x,y)),apply(v,w))*. % 299.97/300.40 33334[3:Res:3817.2,6192.1] || member(u,v) equal(first(u),w) -> equal(x,cross_product(second(u),y)) member(f1(x,cross_product(second(u),y)),x)* member(first(f1(x,cross_product(second(u),y))),apply(v,w))*. % 299.97/300.40 33279[3:Res:3817.1,6192.1] || member(u,v) equal(first(u),w) -> equal(second(u),cross_product(x,y)) member(first(f1(second(u),cross_product(x,y))),x)* member(f1(second(u),cross_product(x,y)),apply(v,w))*. % 299.97/300.40 33602[0:Res:964.2,1441.0] || member(u,sigma(v)) subset(v,converse(non_ordered_pair(w,x)))* -> equal(ordered_pair(second(f16(u,v)),first(f16(u,v))),x)* equal(ordered_pair(second(f16(u,v)),first(f16(u,v))),w)*. % 299.97/300.40 33717[3:Res:3651.2,6224.3] little_set(u) single_valued_set(restrict(v,w)) || member(ordered_pair(f2(x),u),cross_product(w,universal_set))* member(ordered_pair(f2(x),u),v)* member(x,restrict(v,w))* -> equal(u,f3(x)). % 299.97/300.40 33741[3:SSi:33702.0,5742.0,371.1] little_set(u) single_valued_set(cross_product(v,w)) || member(second(ordered_pair(f2(x),u)),w)* member(first(ordered_pair(f2(x),u)),v)* member(x,cross_product(v,w))* -> equal(u,f3(x)). % 299.97/300.40 34536[0:Res:1543.2,1438.0] || member(u,image(v,w)) member(v,non_ordered_pair(x,y)) -> equal(f16(first(f22(u,v,w)),non_ordered_pair(x,y)),y)** equal(f16(first(f22(u,v,w)),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34790[0:MRR:34755.0,213.1] || member(f17(u,intersection(v,intersection(complement(w),complement(x)))),v)* -> member(f17(u,intersection(v,intersection(complement(w),complement(x)))),union(w,x))* subset(u,intersection(v,intersection(complement(w),complement(x)))). % 299.97/300.40 34862[0:MRR:34839.0,5.0] || equal(f1(intersection(complement(u),complement(v)),non_ordered_pair(w,x)),x) -> member(f1(intersection(complement(u),complement(v)),non_ordered_pair(w,x)),union(u,v))* equal(intersection(complement(u),complement(v)),non_ordered_pair(w,x)). % 299.97/300.40 34930[0:MRR:34907.0,5.0] || equal(f1(intersection(complement(u),complement(v)),non_ordered_pair(w,x)),w) -> member(f1(intersection(complement(u),complement(v)),non_ordered_pair(w,x)),union(u,v))* equal(intersection(complement(u),complement(v)),non_ordered_pair(w,x)). % 299.97/300.40 35116[0:Res:1556.1,5025.1] || member(u,image(intersection(v,f29(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(first(f22(u,intersection(v,f29(w,x,y)),z)),first(x1))*. % 299.97/300.40 35115[0:Res:1344.1,5025.1] || member(u,image(v,cross_product(f29(w,x,y),z))) member(w,compose(x,y)) equal(x1,w) -> member(first(f22(u,v,cross_product(f29(w,x,y),z))),first(x1))*. % 299.97/300.40 35112[0:Res:1555.1,5025.1] || member(u,image(intersection(f29(v,w,x),y),z)) member(v,compose(w,x)) equal(x1,v) -> member(first(f22(u,intersection(f29(v,w,x),y),z)),first(x1))*. % 299.97/300.40 35098[0:Res:1007.2,5025.1] || member(u,domain_of(v)) member(f8(u,v),converse(f29(w,x,y)))* member(w,compose(x,y)) equal(z,w)* -> member(ordered_pair(second(f8(u,v)),u),first(z))*. % 299.97/300.40 35097[0:Res:1008.2,5025.1] || member(u,range_of(v)) member(f27(u,v),converse(f29(w,x,y)))* member(w,compose(x,y)) equal(z,w)* -> member(ordered_pair(u,first(f27(u,v))),first(z))*. % 299.97/300.40 35066[0:Res:1280.1,5025.1] || member(u,apply(cross_product(v,f29(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(second(f28(u,cross_product(v,f29(w,x,y)),z)),first(x1))*. % 299.97/300.40 35286[0:Res:1556.1,5066.1] || member(u,image(intersection(v,f30(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(first(f22(u,intersection(v,f30(w,x,y)),z)),second(x1))*. % 299.97/300.40 35285[0:Res:1344.1,5066.1] || member(u,image(v,cross_product(f30(w,x,y),z))) member(w,compose(x,y)) equal(x1,w) -> member(first(f22(u,v,cross_product(f30(w,x,y),z))),second(x1))*. % 299.97/300.40 35282[0:Res:1555.1,5066.1] || member(u,image(intersection(f30(v,w,x),y),z)) member(v,compose(w,x)) equal(x1,v) -> member(first(f22(u,intersection(f30(v,w,x),y),z)),second(x1))*. % 299.97/300.40 35268[0:Res:1007.2,5066.1] || member(u,domain_of(v)) member(f8(u,v),converse(f30(w,x,y)))* member(w,compose(x,y)) equal(z,w)* -> member(ordered_pair(second(f8(u,v)),u),second(z))*. % 299.97/300.40 35267[0:Res:1008.2,5066.1] || member(u,range_of(v)) member(f27(u,v),converse(f30(w,x,y)))* member(w,compose(x,y)) equal(z,w)* -> member(ordered_pair(u,first(f27(u,v))),second(z))*. % 299.97/300.40 35236[0:Res:1280.1,5066.1] || member(u,apply(cross_product(v,f30(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(second(f28(u,cross_product(v,f30(w,x,y)),z)),second(x1))*. % 299.97/300.40 35352[2:Res:4273.2,644.1] || member(u,compose(v,w)) subset(w,second(f8(ordered_pair(f31(u,v,w),f30(u,v,w)),x)))* member(ordered_pair(f31(u,v,w),f30(u,v,w)),domain_of(x)) -> . % 299.97/300.40 35330[0:Res:4273.2,8.0] || member(u,compose(v,w)) subset(w,non_ordered_pair(x,y))* -> equal(ordered_pair(f31(u,v,w),f30(u,v,w)),y)* equal(ordered_pair(f31(u,v,w),f30(u,v,w)),x)*. % 299.97/300.40 35472[2:Res:4348.2,644.1] || member(u,compose(v,w)) subset(v,second(f8(ordered_pair(f29(u,v,w),f31(u,v,w)),x)))* member(ordered_pair(f29(u,v,w),f31(u,v,w)),domain_of(x)) -> . % 299.97/300.40 35450[0:Res:4348.2,8.0] || member(u,compose(v,w)) subset(v,non_ordered_pair(x,y))* -> equal(ordered_pair(f29(u,v,w),f31(u,v,w)),y)* equal(ordered_pair(f29(u,v,w),f31(u,v,w)),x)*. % 299.97/300.40 35583[0:Res:4112.2,1137.1] ordered_pair_predicate(complement(u)) little_set(v) || member(ordered_pair(second(complement(u)),first(complement(u))),sigma(w)) -> member(v,u) member(v,sigma(converse(f16(ordered_pair(second(complement(u)),first(complement(u))),w))))*. % 299.97/300.40 35742[0:Res:4111.2,1137.1] ordered_pair_predicate(complement(u)) little_set(v) || member(ordered_pair(second(complement(u)),first(complement(u))),first(w)) -> member(v,u) member(v,sigma(converse(f4(ordered_pair(second(complement(u)),first(complement(u))),w))))*. % 299.97/300.40 35961[0:Res:4110.2,1137.1] ordered_pair_predicate(complement(u)) little_set(v) || member(ordered_pair(second(complement(u)),first(complement(u))),second(w)) -> member(v,u) member(v,sigma(converse(f7(ordered_pair(second(complement(u)),first(complement(u))),w))))*. % 299.97/300.40 36371[0:MRR:36370.0,37.1] little_set(u) || member(ordered_pair(second(f8(v,w)),v),second(x)) member(v,domain_of(w)) equal(u,v) -> member(u,domain_of(converse(f7(ordered_pair(second(f8(v,w)),v),x))))*. % 299.97/300.40 36373[0:MRR:36372.0,37.1] little_set(u) || member(ordered_pair(second(f8(v,w)),v),first(x)) member(v,domain_of(w)) equal(u,v) -> member(u,domain_of(converse(f4(ordered_pair(second(f8(v,w)),v),x))))*. % 299.97/300.40 36375[0:MRR:36374.0,37.1] little_set(u) || member(ordered_pair(second(f8(v,w)),v),sigma(x)) member(v,domain_of(w)) equal(u,v) -> member(u,domain_of(converse(f16(ordered_pair(second(f8(v,w)),v),x))))*. % 299.97/300.40 36532[0:MRR:36531.0,106.1] little_set(u) || member(ordered_pair(v,first(f27(v,w))),second(x)) member(v,range_of(w)) equal(u,v) -> member(u,range_of(converse(f7(ordered_pair(v,first(f27(v,w))),x))))*. % 299.97/300.40 36534[0:MRR:36533.0,106.1] little_set(u) || member(ordered_pair(v,first(f27(v,w))),first(x)) member(v,range_of(w)) equal(u,v) -> member(u,range_of(converse(f4(ordered_pair(v,first(f27(v,w))),x))))*. % 299.97/300.40 36536[0:MRR:36535.0,106.1] little_set(u) || member(ordered_pair(v,first(f27(v,w))),sigma(x)) member(v,range_of(w)) equal(u,v) -> member(u,range_of(converse(f16(ordered_pair(v,first(f27(v,w))),x))))*. % 299.97/300.40 36608[0:Res:4622.2,5065.1] || member(u,flip_range_of(v)) subset(v,f7(w,x))* member(w,second(x)) equal(y,x)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),second(y))*. % 299.97/300.40 36607[0:Res:4622.2,5064.1] || member(u,flip_range_of(v)) subset(v,f5(w,x))* member(w,first(x)) equal(y,x)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),second(y))*. % 299.97/300.40 36606[0:Res:4622.2,5024.1] || member(u,flip_range_of(v)) subset(v,f12(w,x))* member(w,flip_range_of(x)) equal(y,w)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),first(y))*. % 299.97/300.40 36605[0:Res:4622.2,5022.1] || member(u,flip_range_of(v)) subset(v,f9(w,x))* member(w,rotate_right(x)) equal(y,w)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),first(y))*. % 299.97/300.40 36604[0:Res:4622.2,5020.1] || member(u,flip_range_of(v)) subset(v,f6(w,x))* member(w,second(x)) equal(y,x)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),first(y))*. % 299.97/300.40 36603[0:Res:4622.2,5019.1] || member(u,flip_range_of(v)) subset(v,f4(w,x))* member(w,first(x)) equal(y,x)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),first(y))*. % 299.97/300.40 36601[3:Res:4622.2,6192.1] || member(u,flip_range_of(v)) subset(v,second(w))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),apply(x,y))*. % 299.97/300.40 37036[0:Res:4770.2,5065.1] || member(u,rotate_right(v)) subset(v,f7(w,x))* member(w,second(x)) equal(y,x)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),second(y))*. % 299.97/300.40 37035[0:Res:4770.2,5064.1] || member(u,rotate_right(v)) subset(v,f5(w,x))* member(w,first(x)) equal(y,x)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),second(y))*. % 299.97/300.40 37034[0:Res:4770.2,5024.1] || member(u,rotate_right(v)) subset(v,f12(w,x))* member(w,flip_range_of(x)) equal(y,w)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),first(y))*. % 299.97/300.40 37033[0:Res:4770.2,5022.1] || member(u,rotate_right(v)) subset(v,f9(w,x))* member(w,rotate_right(x)) equal(y,w)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),first(y))*. % 299.97/300.40 37032[0:Res:4770.2,5020.1] || member(u,rotate_right(v)) subset(v,f6(w,x))* member(w,second(x)) equal(y,x)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),first(y))*. % 299.97/300.40 37031[0:Res:4770.2,5019.1] || member(u,rotate_right(v)) subset(v,f4(w,x))* member(w,first(x)) equal(y,x)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),first(y))*. % 299.97/300.40 37029[3:Res:4770.2,6192.1] || member(u,rotate_right(v)) subset(v,second(w))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),apply(x,y))*. % 299.97/300.40 39177[0:MRR:39176.1,54.1] little_set(u) single_valued_set(sigma(v)) || member(w,flip_range_of(x)) member(x,v) member(ordered_pair(f12(w,x),u),sigma(v))* -> equal(u,ordered_pair(f14(w,x),f13(w,x)))*. % 299.97/300.40 39641[0:MRR:39640.1,49.1] little_set(u) single_valued_set(sigma(v)) || member(w,rotate_right(x)) member(x,v) member(ordered_pair(f10(w,x),u),sigma(v))* -> equal(u,ordered_pair(f11(w,x),f9(w,x)))*. % 299.97/300.40 40239[0:Res:281.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,intersection(y,ordered_pair(f10(u,v),f11(u,v)))) member(f23(x,intersection(y,ordered_pair(f10(u,v),f11(u,v)))),second(w))*. % 299.97/300.40 40235[0:Res:93.1,5068.1] || member(u,image(v,ordered_pair(f10(w,x),f11(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(f22(u,v,ordered_pair(f10(w,x),f11(w,x))),second(y))*. % 299.97/300.40 40213[0:Res:118.1,5068.1] || member(u,apply(ordered_pair(f10(v,w),f11(v,w)),x)) member(v,rotate_right(w)) equal(y,v) -> member(f28(u,ordered_pair(f10(v,w),f11(v,w)),x),second(y))*. % 299.97/300.40 40206[0:Res:278.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> subset(intersection(x,ordered_pair(f10(u,v),f11(u,v))),y) member(f17(intersection(x,ordered_pair(f10(u,v),f11(u,v))),y),second(w))*. % 299.97/300.40 40203[0:Res:277.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(intersection(x,ordered_pair(f10(u,v),f11(u,v))),y) member(f23(intersection(x,ordered_pair(f10(u,v),f11(u,v))),y),second(w))*. % 299.97/300.40 40201[0:Res:289.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,intersection(ordered_pair(f10(u,v),f11(u,v)),y)) member(f23(x,intersection(ordered_pair(f10(u,v),f11(u,v)),y)),second(w))*. % 299.97/300.40 40171[0:Res:285.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(intersection(ordered_pair(f10(u,v),f11(u,v)),x),y) member(f23(intersection(ordered_pair(f10(u,v),f11(u,v)),x),y),second(w))*. % 299.97/300.40 40169[0:Res:286.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> subset(intersection(ordered_pair(f10(u,v),f11(u,v)),x),y) member(f17(intersection(ordered_pair(f10(u,v),f11(u,v)),x),y),second(w))*. % 299.97/300.40 40419[0:Res:281.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,intersection(y,ordered_pair(f13(u,v),f14(u,v)))) member(f23(x,intersection(y,ordered_pair(f13(u,v),f14(u,v)))),second(w))*. % 299.97/300.40 40415[0:Res:93.1,5070.1] || member(u,image(v,ordered_pair(f13(w,x),f14(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(f22(u,v,ordered_pair(f13(w,x),f14(w,x))),second(y))*. % 299.97/300.40 40393[0:Res:118.1,5070.1] || member(u,apply(ordered_pair(f13(v,w),f14(v,w)),x)) member(v,flip_range_of(w)) equal(y,v) -> member(f28(u,ordered_pair(f13(v,w),f14(v,w)),x),second(y))*. % 299.97/300.40 40386[0:Res:278.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(intersection(x,ordered_pair(f13(u,v),f14(u,v))),y) member(f17(intersection(x,ordered_pair(f13(u,v),f14(u,v))),y),second(w))*. % 299.97/300.40 40383[0:Res:277.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(intersection(x,ordered_pair(f13(u,v),f14(u,v))),y) member(f23(intersection(x,ordered_pair(f13(u,v),f14(u,v))),y),second(w))*. % 299.97/300.40 40381[0:Res:289.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,intersection(ordered_pair(f13(u,v),f14(u,v)),y)) member(f23(x,intersection(ordered_pair(f13(u,v),f14(u,v)),y)),second(w))*. % 299.97/300.40 40351[0:Res:285.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(intersection(ordered_pair(f13(u,v),f14(u,v)),x),y) member(f23(intersection(ordered_pair(f13(u,v),f14(u,v)),x),y),second(w))*. % 299.97/300.40 40349[0:Res:286.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(intersection(ordered_pair(f13(u,v),f14(u,v)),x),y) member(f17(intersection(ordered_pair(f13(u,v),f14(u,v)),x),y),second(w))*. % 299.97/300.40 40535[3:Res:35.2,6235.0] little_set(second(f17(u,cross_product(v,complement(w))))) || member(first(f17(u,cross_product(v,complement(w)))),v)* -> member(second(f17(u,cross_product(v,complement(w)))),w)* subset(u,cross_product(v,complement(w))). % 299.97/300.40 40745[2:Res:1468.2,644.1] || member(u,image(v,w)) member(f22(u,v,w),converse(second(f8(ordered_pair(u,first(f22(u,v,w))),x))))* member(ordered_pair(u,first(f22(u,v,w))),domain_of(x)) -> . % 299.97/300.40 40723[0:Res:1468.2,8.0] || member(u,image(v,w)) member(f22(u,v,w),converse(non_ordered_pair(x,y)))* -> equal(ordered_pair(u,first(f22(u,v,w))),y)* equal(ordered_pair(u,first(f22(u,v,w))),x)*. % 299.97/300.40 40891[2:Res:1464.2,644.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(second(f8(ordered_pair(second(f28(u,v,w)),w),x))))* member(ordered_pair(second(f28(u,v,w)),w),domain_of(x)) -> . % 299.97/300.40 40869[0:Res:1464.2,8.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(non_ordered_pair(x,y)))* -> equal(ordered_pair(second(f28(u,v,w)),w),y)* equal(ordered_pair(second(f28(u,v,w)),w),x)*. % 299.97/300.40 41269[0:Res:4286.1,5063.1] ordered_pair_predicate(u) || member(v,compose(w,intersection(x,f3(u)))) equal(y,u) -> member(ordered_pair(f31(v,w,intersection(x,f3(u))),f30(v,w,intersection(x,f3(u)))),second(y))*. % 299.97/300.40 41268[0:Res:4286.1,5018.1] ordered_pair_predicate(u) || member(v,compose(w,intersection(x,f2(u)))) equal(y,u) -> member(ordered_pair(f31(v,w,intersection(x,f2(u))),f30(v,w,intersection(x,f2(u)))),first(y))*. % 299.97/300.40 41508[0:Res:4285.1,5063.1] ordered_pair_predicate(u) || member(v,compose(w,intersection(f3(u),x))) equal(y,u) -> member(ordered_pair(f31(v,w,intersection(f3(u),x)),f30(v,w,intersection(f3(u),x))),second(y))*. % 299.97/300.40 41507[0:Res:4285.1,5018.1] ordered_pair_predicate(u) || member(v,compose(w,intersection(f2(u),x))) equal(y,u) -> member(ordered_pair(f31(v,w,intersection(f2(u),x)),f30(v,w,intersection(f2(u),x))),first(y))*. % 299.97/300.40 41646[0:Res:4361.1,5063.1] ordered_pair_predicate(u) || member(v,compose(intersection(w,f3(u)),x)) equal(y,u) -> member(ordered_pair(f29(v,intersection(w,f3(u)),x),f31(v,intersection(w,f3(u)),x)),second(y))*. % 299.97/300.40 41645[0:Res:4361.1,5018.1] ordered_pair_predicate(u) || member(v,compose(intersection(w,f2(u)),x)) equal(y,u) -> member(ordered_pair(f29(v,intersection(w,f2(u)),x),f31(v,intersection(w,f2(u)),x)),first(y))*. % 299.97/300.40 41768[0:Res:4360.1,5063.1] ordered_pair_predicate(u) || member(v,compose(intersection(f3(u),w),x)) equal(y,u) -> member(ordered_pair(f29(v,intersection(f3(u),w),x),f31(v,intersection(f3(u),w),x)),second(y))*. % 299.97/300.40 41767[0:Res:4360.1,5018.1] ordered_pair_predicate(u) || member(v,compose(intersection(f2(u),w),x)) equal(y,u) -> member(ordered_pair(f29(v,intersection(f2(u),w),x),f31(v,intersection(f2(u),w),x)),first(y))*. % 299.97/300.40 42054[3:Res:957.2,6212.0] || subset(u,converse(second(v)))* member(v,w)* equal(first(v),x)* -> single_valued_set(u) member(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),apply(w,x))*. % 299.97/300.40 42053[3:Res:956.2,6212.0] || subset(u,converse(second(v)))* member(v,w)* equal(first(v),x)* -> single_valued_set(u) member(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),apply(w,x))*. % 299.97/300.40 41999[3:Res:395.0,6212.0] || member(u,v) equal(first(u),w) -> subset(x,complement(converse(second(u)))) member(ordered_pair(second(f17(x,complement(converse(second(u))))),first(f17(x,complement(converse(second(u)))))),apply(v,w))*. % 299.97/300.40 41980[3:Res:25246.0,6212.0] || member(u,v) equal(first(u),w) -> equal(complement(converse(second(u))),universal_set) member(ordered_pair(second(f1(universal_set,complement(converse(second(u))))),first(f1(universal_set,complement(converse(second(u)))))),apply(v,w))*. % 299.97/300.40 41978[3:Res:4258.0,6212.0] || member(u,v) equal(first(u),w) -> equal(complement(converse(second(u))),universal_set) member(ordered_pair(second(f1(complement(converse(second(u))),universal_set)),first(f1(complement(converse(second(u))),universal_set))),apply(v,w))*. % 299.97/300.40 42105[3:Rew:95.1,42084.3] || member(u,image(v,intersection(w,converse(second(x))))) member(x,y) equal(first(x),z) -> member(ordered_pair(u,first(f22(u,v,intersection(w,converse(second(x)))))),apply(y,z))*. % 299.97/300.40 42106[3:Rew:119.1,42041.3] || member(u,apply(intersection(v,converse(second(w))),x)) member(w,y) equal(first(w),z) -> member(ordered_pair(second(f28(u,intersection(v,converse(second(w))),x)),x),apply(y,z))*. % 299.97/300.40 42107[3:Rew:95.1,42031.3] || member(u,image(v,intersection(converse(second(w)),x))) member(w,y) equal(first(w),z) -> member(ordered_pair(u,first(f22(u,v,intersection(converse(second(w)),x)))),apply(y,z))*. % 299.97/300.40 42108[3:Rew:119.1,42009.3] || member(u,apply(intersection(converse(second(v)),w),x)) member(v,y) equal(first(v),z) -> member(ordered_pair(second(f28(u,intersection(converse(second(v)),w),x)),x),apply(y,z))*. % 299.97/300.40 42948[0:Res:957.2,1442.0] || subset(u,apply(non_ordered_pair(v,w),x)) -> single_valued_set(u) equal(f28(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w),x),w)** equal(f28(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w),x),v)**. % 299.97/300.40 42947[0:Res:956.2,1442.0] || subset(u,apply(non_ordered_pair(v,w),x)) -> single_valued_set(u) equal(f28(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w),x),w)** equal(f28(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w),x),v)**. % 299.97/300.40 43125[0:Res:957.2,1443.0] || subset(u,image(v,non_ordered_pair(w,x))) -> single_valued_set(u) equal(f22(ordered_pair(f19(u),f20(u)),v,non_ordered_pair(w,x)),x)** equal(f22(ordered_pair(f19(u),f20(u)),v,non_ordered_pair(w,x)),w)**. % 299.97/300.40 43124[0:Res:956.2,1443.0] || subset(u,image(v,non_ordered_pair(w,x))) -> single_valued_set(u) equal(f22(ordered_pair(f19(u),f21(u)),v,non_ordered_pair(w,x)),x)** equal(f22(ordered_pair(f19(u),f21(u)),v,non_ordered_pair(w,x)),w)**. % 299.97/300.40 43284[0:Res:5054.3,4109.1] little_set(u) little_set(v) ordered_pair_predicate(w) || member(ordered_pair(second(w),first(w)),u)* member(ordered_pair(second(w),first(w)),x)* -> member(w,converse(intersection(x,second(ordered_pair(v,u)))))*. % 299.97/300.40 43283[0:Res:5009.3,4109.1] little_set(u) little_set(v) ordered_pair_predicate(w) || member(ordered_pair(second(w),first(w)),v)* member(ordered_pair(second(w),first(w)),x)* -> member(w,converse(intersection(x,first(ordered_pair(v,u)))))*. % 299.97/300.40 43452[3:MRR:43394.0,6168.1] || member(ordered_pair(second(f17(u,v)),first(f17(u,v))),apply(w,x)) disjoint(converse(second(f28(ordered_pair(second(f17(u,v)),first(f17(u,v))),w,x))),u)* -> subset(u,v). % 299.97/300.40 43453[3:MRR:43393.0,6167.1] || member(ordered_pair(second(f23(u,v)),first(f23(u,v))),apply(w,x)) disjoint(converse(second(f28(ordered_pair(second(f23(u,v)),first(f23(u,v))),w,x))),v)* -> disjoint(u,v). % 299.97/300.40 43454[3:MRR:43392.0,6167.1] || member(ordered_pair(second(f23(u,v)),first(f23(u,v))),apply(w,x)) disjoint(converse(second(f28(ordered_pair(second(f23(u,v)),first(f23(u,v))),w,x))),u)* -> disjoint(u,v). % 299.97/300.40 43567[3:SSi:43551.3,3910.0,371.2] little_set(u) little_set(v) little_set(f2(w)) single_valued_set(rotate_right(x)) || member(ordered_pair(v,ordered_pair(u,f2(w))),x)* member(w,rotate_right(x)) -> equal(ordered_pair(v,u),f3(w)). % 299.97/300.40 43734[3:SSi:43716.3,3910.0,371.2] little_set(u) little_set(v) little_set(f2(w)) single_valued_set(flip_range_of(x)) || member(ordered_pair(f2(w),ordered_pair(u,v)),x)* member(w,flip_range_of(x)) -> equal(ordered_pair(v,u),f3(w)). % 299.97/300.40 44344[0:Res:4635.1,282.0] || member(u,flip_range_of(intersection(v,restrict(w,x)))) -> member(ordered_pair(f12(u,intersection(v,restrict(w,x))),ordered_pair(f14(u,intersection(v,restrict(w,x))),f13(u,intersection(v,restrict(w,x))))),w)*. % 299.97/300.40 44342[0:Res:4635.1,15955.0] || member(u,flip_range_of(intersection(v,sigma(powerset(w))))) -> member(ordered_pair(f12(u,intersection(v,sigma(powerset(w)))),ordered_pair(f14(u,intersection(v,sigma(powerset(w)))),f13(u,intersection(v,sigma(powerset(w)))))),w)*. % 299.97/300.40 44338[0:Res:4635.1,32.0] || member(u,flip_range_of(intersection(v,intersection(w,x)))) -> member(ordered_pair(f12(u,intersection(v,intersection(w,x))),ordered_pair(f14(u,intersection(v,intersection(w,x))),f13(u,intersection(v,intersection(w,x))))),x)*. % 299.97/300.40 44337[0:Res:4635.1,31.0] || member(u,flip_range_of(intersection(v,intersection(w,x)))) -> member(ordered_pair(f12(u,intersection(v,intersection(w,x))),ordered_pair(f14(u,intersection(v,intersection(w,x))),f13(u,intersection(v,intersection(w,x))))),w)*. % 299.97/300.40 44328[0:Res:4635.1,10964.0] || member(u,flip_range_of(intersection(v,complement(complement(w))))) -> member(ordered_pair(f12(u,intersection(v,complement(complement(w)))),ordered_pair(f14(u,intersection(v,complement(complement(w)))),f13(u,intersection(v,complement(complement(w)))))),w)*. % 299.97/300.40 44599[0:Res:4634.1,282.0] || member(u,flip_range_of(intersection(restrict(v,w),x))) -> member(ordered_pair(f12(u,intersection(restrict(v,w),x)),ordered_pair(f14(u,intersection(restrict(v,w),x)),f13(u,intersection(restrict(v,w),x)))),v)*. % 299.97/300.40 44597[0:Res:4634.1,15955.0] || member(u,flip_range_of(intersection(sigma(powerset(v)),w))) -> member(ordered_pair(f12(u,intersection(sigma(powerset(v)),w)),ordered_pair(f14(u,intersection(sigma(powerset(v)),w)),f13(u,intersection(sigma(powerset(v)),w)))),v)*. % 299.97/300.40 44593[0:Res:4634.1,32.0] || member(u,flip_range_of(intersection(intersection(v,w),x))) -> member(ordered_pair(f12(u,intersection(intersection(v,w),x)),ordered_pair(f14(u,intersection(intersection(v,w),x)),f13(u,intersection(intersection(v,w),x)))),w)*. % 299.97/300.40 44592[0:Res:4634.1,31.0] || member(u,flip_range_of(intersection(intersection(v,w),x))) -> member(ordered_pair(f12(u,intersection(intersection(v,w),x)),ordered_pair(f14(u,intersection(intersection(v,w),x)),f13(u,intersection(intersection(v,w),x)))),v)*. % 299.97/300.40 44583[0:Res:4634.1,10964.0] || member(u,flip_range_of(intersection(complement(complement(v)),w))) -> member(ordered_pair(f12(u,intersection(complement(complement(v)),w)),ordered_pair(f14(u,intersection(complement(complement(v)),w)),f13(u,intersection(complement(complement(v)),w)))),v)*. % 299.97/300.40 45118[0:Res:4783.1,282.0] || member(u,rotate_right(intersection(v,restrict(w,x)))) -> member(ordered_pair(f10(u,intersection(v,restrict(w,x))),ordered_pair(f11(u,intersection(v,restrict(w,x))),f9(u,intersection(v,restrict(w,x))))),w)*. % 299.97/300.40 45116[0:Res:4783.1,15955.0] || member(u,rotate_right(intersection(v,sigma(powerset(w))))) -> member(ordered_pair(f10(u,intersection(v,sigma(powerset(w)))),ordered_pair(f11(u,intersection(v,sigma(powerset(w)))),f9(u,intersection(v,sigma(powerset(w)))))),w)*. % 299.97/300.40 45112[0:Res:4783.1,32.0] || member(u,rotate_right(intersection(v,intersection(w,x)))) -> member(ordered_pair(f10(u,intersection(v,intersection(w,x))),ordered_pair(f11(u,intersection(v,intersection(w,x))),f9(u,intersection(v,intersection(w,x))))),x)*. % 299.97/300.40 45111[0:Res:4783.1,31.0] || member(u,rotate_right(intersection(v,intersection(w,x)))) -> member(ordered_pair(f10(u,intersection(v,intersection(w,x))),ordered_pair(f11(u,intersection(v,intersection(w,x))),f9(u,intersection(v,intersection(w,x))))),w)*. % 299.97/300.40 45102[0:Res:4783.1,10964.0] || member(u,rotate_right(intersection(v,complement(complement(w))))) -> member(ordered_pair(f10(u,intersection(v,complement(complement(w)))),ordered_pair(f11(u,intersection(v,complement(complement(w)))),f9(u,intersection(v,complement(complement(w)))))),w)*. % 299.97/300.40 46245[0:Res:4782.1,282.0] || member(u,rotate_right(intersection(restrict(v,w),x))) -> member(ordered_pair(f10(u,intersection(restrict(v,w),x)),ordered_pair(f11(u,intersection(restrict(v,w),x)),f9(u,intersection(restrict(v,w),x)))),v)*. % 299.97/300.40 46243[0:Res:4782.1,15955.0] || member(u,rotate_right(intersection(sigma(powerset(v)),w))) -> member(ordered_pair(f10(u,intersection(sigma(powerset(v)),w)),ordered_pair(f11(u,intersection(sigma(powerset(v)),w)),f9(u,intersection(sigma(powerset(v)),w)))),v)*. % 299.97/300.40 46239[0:Res:4782.1,32.0] || member(u,rotate_right(intersection(intersection(v,w),x))) -> member(ordered_pair(f10(u,intersection(intersection(v,w),x)),ordered_pair(f11(u,intersection(intersection(v,w),x)),f9(u,intersection(intersection(v,w),x)))),w)*. % 299.97/300.40 46238[0:Res:4782.1,31.0] || member(u,rotate_right(intersection(intersection(v,w),x))) -> member(ordered_pair(f10(u,intersection(intersection(v,w),x)),ordered_pair(f11(u,intersection(intersection(v,w),x)),f9(u,intersection(intersection(v,w),x)))),v)*. % 299.97/300.40 46229[0:Res:4782.1,10964.0] || member(u,rotate_right(intersection(complement(complement(v)),w))) -> member(ordered_pair(f10(u,intersection(complement(complement(v)),w)),ordered_pair(f11(u,intersection(complement(complement(v)),w)),f9(u,intersection(complement(complement(v)),w)))),v)*. % 299.97/300.40 47409[0:Res:3837.1,282.0] || -> equal(non_ordered_pair(u,v),restrict(w,x)) equal(f1(non_ordered_pair(u,v),restrict(w,x)),v) equal(f1(non_ordered_pair(u,v),restrict(w,x)),u) member(f1(non_ordered_pair(u,v),restrict(w,x)),w)*. % 299.97/300.40 47407[0:Res:3837.1,15955.0] || -> equal(non_ordered_pair(u,v),sigma(powerset(w))) equal(f1(non_ordered_pair(u,v),sigma(powerset(w))),v) equal(f1(non_ordered_pair(u,v),sigma(powerset(w))),u) member(f1(non_ordered_pair(u,v),sigma(powerset(w))),w)*. % 299.97/300.40 47393[0:Res:3837.1,10964.0] || -> equal(non_ordered_pair(u,v),complement(complement(w))) equal(f1(non_ordered_pair(u,v),complement(complement(w))),v) equal(f1(non_ordered_pair(u,v),complement(complement(w))),u) member(f1(non_ordered_pair(u,v),complement(complement(w))),w)*. % 299.97/300.40 47854[0:Res:3819.1,282.0] || -> equal(restrict(u,v),non_ordered_pair(w,x)) equal(f1(restrict(u,v),non_ordered_pair(w,x)),x) equal(f1(restrict(u,v),non_ordered_pair(w,x)),w) member(f1(restrict(u,v),non_ordered_pair(w,x)),u)*. % 299.97/300.40 47852[0:Res:3819.1,15955.0] || -> equal(sigma(powerset(u)),non_ordered_pair(v,w)) equal(f1(sigma(powerset(u)),non_ordered_pair(v,w)),w) equal(f1(sigma(powerset(u)),non_ordered_pair(v,w)),v) member(f1(sigma(powerset(u)),non_ordered_pair(v,w)),u)*. % 299.97/300.40 47838[0:Res:3819.1,10964.0] || -> equal(complement(complement(u)),non_ordered_pair(v,w)) equal(f1(complement(complement(u)),non_ordered_pair(v,w)),w) equal(f1(complement(complement(u)),non_ordered_pair(v,w)),v) member(f1(complement(complement(u)),non_ordered_pair(v,w)),u)*. % 299.97/300.40 55858[16:Rew:54986.0,48798.2] little_set(u) || member(f25,v) -> equal(u,a) equal(w,ordered_pair(u,f26(u))) member(f1(w,ordered_pair(u,f26(u))),w)* member(f1(w,ordered_pair(u,f26(u))),sigma(sigma(v)))*. % 299.97/300.40 55859[16:Rew:54986.0,48783.2] little_set(u) || member(f25,v) -> equal(u,a) equal(ordered_pair(u,f26(u)),w) member(f1(ordered_pair(u,f26(u)),w),w)* member(f1(ordered_pair(u,f26(u)),w),sigma(sigma(v)))*. % 299.97/300.40 55860[16:Rew:54986.0,48710.2] little_set(u) || subset(u,image(non_ordered_pair(v,w),x)) -> equal(u,a) equal(first(f22(f26(u),non_ordered_pair(v,w),x)),w)** equal(first(f22(f26(u),non_ordered_pair(v,w),x)),v)**. % 299.97/300.40 58656[16:Rew:54986.0,51354.1] little_set(range_of(non_ordered_pair(u,v))) || -> equal(range_of(non_ordered_pair(u,v)),a) equal(f27(f26(range_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),v)** equal(f27(f26(range_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),u)**. % 299.97/300.40 58664[16:Rew:54986.0,51375.1] little_set(domain_of(non_ordered_pair(u,v))) || -> equal(domain_of(non_ordered_pair(u,v)),a) equal(f8(f26(domain_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),v)** equal(f8(f26(domain_of(non_ordered_pair(u,v))),non_ordered_pair(u,v)),u)**. % 299.97/300.40 58708[16:Rew:54986.0,51514.3] little_set(converse(second(u))) || member(u,v) equal(first(u),w) -> equal(converse(second(u)),a) member(ordered_pair(second(f26(converse(second(u)))),first(f26(converse(second(u))))),apply(v,w))*. % 299.97/300.40 58757[16:Rew:54986.0,51358.0] || -> equal(intersection(u,range_of(non_ordered_pair(v,w))),a) equal(f27(f24(intersection(u,range_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),w)** equal(f27(f24(intersection(u,range_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 58758[16:Rew:54986.0,51359.0] || -> equal(intersection(range_of(non_ordered_pair(u,v)),w),a) equal(f27(f24(intersection(range_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f27(f24(intersection(range_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.40 58759[16:Rew:54986.0,51371.0] || -> equal(intersection(u,sigma(non_ordered_pair(v,w))),a) equal(f16(f24(intersection(u,sigma(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),w)** equal(f16(f24(intersection(u,sigma(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 58760[16:Rew:54986.0,51372.0] || -> equal(intersection(sigma(non_ordered_pair(u,v)),w),a) equal(f16(f24(intersection(sigma(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f16(f24(intersection(sigma(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.40 58761[16:Rew:54986.0,51379.0] || -> equal(intersection(u,domain_of(non_ordered_pair(v,w))),a) equal(f8(f24(intersection(u,domain_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),w)** equal(f8(f24(intersection(u,domain_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 58762[16:Rew:54986.0,51380.0] || -> equal(intersection(domain_of(non_ordered_pair(u,v)),w),a) equal(f8(f24(intersection(domain_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f8(f24(intersection(domain_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.40 58763[16:Rew:54986.0,51440.2] || member(u,flip_range_of(v)) disjoint(singleton_set(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),v)* -> equal(singleton_set(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),a). % 299.97/300.40 58764[16:Rew:54986.0,51443.2] || member(u,rotate_right(v)) disjoint(singleton_set(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),v)* -> equal(singleton_set(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),a). % 299.97/300.40 58765[16:Rew:54986.0,51450.2] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(ordered_pair(f10(u,v),f11(u,v)),x),a) member(first(f24(cross_product(ordered_pair(f10(u,v),f11(u,v)),x))),second(w))*. % 299.97/300.40 58766[16:Rew:54986.0,51451.2] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(x,ordered_pair(f10(u,v),f11(u,v))),a) member(second(f24(cross_product(x,ordered_pair(f10(u,v),f11(u,v))))),second(w))*. % 299.97/300.40 58767[16:Rew:54986.0,51458.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(ordered_pair(f13(u,v),f14(u,v)),x),a) member(first(f24(cross_product(ordered_pair(f13(u,v),f14(u,v)),x))),second(w))*. % 299.97/300.40 58768[16:Rew:54986.0,51459.2] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(x,ordered_pair(f13(u,v),f14(u,v))),a) member(second(f24(cross_product(x,ordered_pair(f13(u,v),f14(u,v))))),second(w))*. % 299.97/300.40 64258[0:Res:4628.1,4578.0] || member(u,flip_range_of(cross_product(v,rotate_right(w)))) equal(x,second(ordered_pair(f12(u,cross_product(v,rotate_right(w))),ordered_pair(f14(u,cross_product(v,rotate_right(w))),f13(u,cross_product(v,rotate_right(w)))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 64256[0:Res:4628.1,4549.0] || member(u,flip_range_of(cross_product(v,flip_range_of(w)))) equal(x,second(ordered_pair(f12(u,cross_product(v,flip_range_of(w))),ordered_pair(f14(u,cross_product(v,flip_range_of(w))),f13(u,cross_product(v,flip_range_of(w)))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 64365[0:Res:4627.1,4578.0] || member(u,flip_range_of(cross_product(rotate_right(v),w))) equal(x,first(ordered_pair(f12(u,cross_product(rotate_right(v),w)),ordered_pair(f14(u,cross_product(rotate_right(v),w)),f13(u,cross_product(rotate_right(v),w))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 64363[0:Res:4627.1,4549.0] || member(u,flip_range_of(cross_product(flip_range_of(v),w))) equal(x,first(ordered_pair(f12(u,cross_product(flip_range_of(v),w)),ordered_pair(f14(u,cross_product(flip_range_of(v),w)),f13(u,cross_product(flip_range_of(v),w))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 64514[0:Res:4776.1,4578.0] || member(u,rotate_right(cross_product(v,rotate_right(w)))) equal(x,second(ordered_pair(f10(u,cross_product(v,rotate_right(w))),ordered_pair(f11(u,cross_product(v,rotate_right(w))),f9(u,cross_product(v,rotate_right(w)))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 64512[0:Res:4776.1,4549.0] || member(u,rotate_right(cross_product(v,flip_range_of(w)))) equal(x,second(ordered_pair(f10(u,cross_product(v,flip_range_of(w))),ordered_pair(f11(u,cross_product(v,flip_range_of(w))),f9(u,cross_product(v,flip_range_of(w)))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 64624[0:Res:4775.1,4578.0] || member(u,rotate_right(cross_product(rotate_right(v),w))) equal(x,first(ordered_pair(f10(u,cross_product(rotate_right(v),w)),ordered_pair(f11(u,cross_product(rotate_right(v),w)),f9(u,cross_product(rotate_right(v),w))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 64622[0:Res:4775.1,4549.0] || member(u,rotate_right(cross_product(flip_range_of(v),w))) equal(x,first(ordered_pair(f10(u,cross_product(flip_range_of(v),w)),ordered_pair(f11(u,cross_product(flip_range_of(v),w)),f9(u,cross_product(flip_range_of(v),w))))))* -> ordered_pair_predicate(x)*. % 299.97/300.40 65885[0:SSi:65864.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f4(x,y),u),non_ordered_pair(v,w))* member(x,first(y)) member(y,ordered_pair(v,w))* -> equal(u,f5(x,y)). % 299.97/300.40 66006[0:SSi:65985.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f6(x,y),u),non_ordered_pair(v,w))* member(x,second(y)) member(y,ordered_pair(v,w))* -> equal(u,f7(x,y)). % 299.97/300.40 66300[0:Res:4115.1,6077.3] ordered_pair_predicate(u) little_set(second(u)) little_set(first(u)) little_set(v) || member(ordered_pair(v,second(u)),w) -> member(u,converse(complement(x))) member(ordered_pair(v,first(u)),compose(w,x))*. % 299.97/300.40 66392[3:MRR:66349.0,66349.1,83.1,85.1] little_set(u) || member(v,w) equal(first(v),x) member(ordered_pair(u,f19(second(v))),y) -> single_valued_set(second(v)) member(ordered_pair(u,f21(second(v))),compose(y,apply(w,x)))*. % 299.97/300.40 66393[3:MRR:66348.0,66348.1,83.1,84.1] little_set(u) || member(v,w) equal(first(v),x) member(ordered_pair(u,f19(second(v))),y) -> single_valued_set(second(v)) member(ordered_pair(u,f20(second(v))),compose(y,apply(w,x)))*. % 299.97/300.40 66394[0:MRR:66346.0,66346.1,4.1,1545.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),converse(y)) member(ordered_pair(u,v),z) -> member(ordered_pair(u,first(f22(v,w,x))),compose(z,y))*. % 299.97/300.40 66413[0:MRR:66412.0,49.1] little_set(u) || member(v,rotate_right(w)) member(w,x) member(ordered_pair(u,f10(v,w)),y) -> member(ordered_pair(u,ordered_pair(f11(v,w),f9(v,w))),compose(y,sigma(x)))*. % 299.97/300.40 66415[0:MRR:66414.0,54.1] little_set(u) || member(v,flip_range_of(w)) member(w,x) member(ordered_pair(u,f12(v,w)),y) -> member(ordered_pair(u,ordered_pair(f14(v,w),f13(v,w))),compose(y,sigma(x)))*. % 299.97/300.40 66416[0:MRR:66344.0,66344.1,133.1,132.1] little_set(u) || member(v,compose(w,intersection(x,y))) member(ordered_pair(u,f31(v,w,intersection(x,y))),z) -> member(ordered_pair(u,f30(v,w,intersection(x,y))),compose(z,y))*. % 299.97/300.40 66417[0:MRR:66320.0,66320.1,131.1,133.1] little_set(u) || member(v,compose(intersection(w,x),y)) member(ordered_pair(u,f29(v,intersection(w,x),y)),z) -> member(ordered_pair(u,f31(v,intersection(w,x),y)),compose(z,x))*. % 299.97/300.40 66418[0:MRR:66313.0,66313.1,133.1,132.1] little_set(u) || member(v,compose(w,intersection(x,y))) member(ordered_pair(u,f31(v,w,intersection(x,y))),z) -> member(ordered_pair(u,f30(v,w,intersection(x,y))),compose(z,x))*. % 299.97/300.40 66419[0:MRR:66303.0,66303.1,131.1,133.1] little_set(u) || member(v,compose(intersection(w,x),y)) member(ordered_pair(u,f29(v,intersection(w,x),y)),z) -> member(ordered_pair(u,f31(v,intersection(w,x),y)),compose(z,w))*. % 299.97/300.40 66649[0:SSi:66624.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(ordered_pair(f2(u),ordered_pair(f3(u),v)),union(x,y))* member(w,rotate_right(intersection(complement(x),complement(y))))*. % 299.97/300.40 66814[0:SSi:66784.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u))* -> member(ordered_pair(v,ordered_pair(f3(u),f2(u))),union(x,y))* member(w,flip_range_of(intersection(complement(x),complement(y))))*. % 299.97/300.40 66944[3:SSi:66919.0,371.0] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(f2(w),u),x)* -> member(ordered_pair(u,f3(w)),union(y,z))* member(v,compose(x,intersection(complement(y),complement(z))))*. % 299.97/300.40 67043[2:SoR:5209.0,8205.2] little_set(u) little_set(second(v)) single_valued_set(w) little_set(x) || member(v,converse(w)) member(ordered_pair(second(v),u),w)* equal(x,first(v))* -> equal(u,first(v)). % 299.97/300.40 67118[16:Res:55527.1,5162.4] little_set(u) || member(v,range_of(w)) member(f27(v,w),x) equal(v,u) -> equal(singleton_set(first(f27(v,w))),a) member(u,image(singleton_set(first(f27(v,w))),x))*. % 299.97/300.40 67226[0:SSi:67200.0,371.0,371.0] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),non_ordered_pair(x,y))* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(ordered_pair(x,y)))*. % 299.97/300.40 67303[0:SSi:67287.0,371.0,371.0] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),non_ordered_pair(x,y))* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(ordered_pair(x,y)))*. % 299.97/300.40 67369[0:SSi:67352.0,371.0,371.0] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),non_ordered_pair(x,y))* member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(ordered_pair(x,y)))*. % 299.97/300.40 67439[0:SSi:67412.0,371.0,371.0] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),non_ordered_pair(x,y))* member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(ordered_pair(x,y)))*. % 299.97/300.40 67654[3:SpR:587.0,6219.3] || member(u,compose(v,second(w))) member(w,x) equal(first(w),singleton_set(singleton_set(y))) -> member(ordered_pair(f31(u,v,second(w)),f30(u,v,second(w))),apply_to_two_arguments(x,y,y))*. % 299.97/300.40 67653[3:SpR:122.0,6219.3] || member(u,compose(v,second(w))) member(w,x) equal(first(w),ordered_pair(y,z)) -> member(ordered_pair(f31(u,v,second(w)),f30(u,v,second(w))),apply_to_two_arguments(x,y,z))*. % 299.97/300.40 67712[3:SpR:587.0,6220.3] || member(u,compose(second(v),w)) member(v,x) equal(first(v),singleton_set(singleton_set(y))) -> member(ordered_pair(f29(u,second(v),w),f31(u,second(v),w)),apply_to_two_arguments(x,y,y))*. % 299.97/300.40 67711[3:SpR:122.0,6220.3] || member(u,compose(second(v),w)) member(v,x) equal(first(v),ordered_pair(y,z)) -> member(ordered_pair(f29(u,second(v),w),f31(u,second(v),w)),apply_to_two_arguments(x,y,z))*. % 299.97/300.40 68118[0:Res:5257.5,547.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(cross_product(z,x1)))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),x1)*. % 299.97/300.40 68116[0:Res:5257.5,560.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,domain_of(cross_product(z,x1)))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),z)*. % 299.97/300.40 68096[0:Res:5257.5,43.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,cross_product(z,x1))* -> homomorphism(y,w,x,u,v) member(second(f33(y,w,x,u,v)),x1)*. % 299.97/300.40 68095[0:Res:5257.5,42.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,cross_product(z,x1))* -> homomorphism(y,w,x,u,v) member(first(f33(y,w,x,u,v)),z)*. % 299.97/300.40 68221[0:Res:5302.5,547.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(cross_product(z,x1)))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),x1)*. % 299.97/300.40 68219[0:Res:5302.5,560.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,domain_of(cross_product(z,x1)))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),z)*. % 299.97/300.40 68199[0:Res:5302.5,43.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,cross_product(z,x1))* -> homomorphism(y,w,x,u,v) member(second(f32(y,w,x,u,v)),x1)*. % 299.97/300.40 68198[0:Res:5302.5,42.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,cross_product(z,x1))* -> homomorphism(y,w,x,u,v) member(first(f32(y,w,x,u,v)),z)*. % 299.97/300.40 68418[0:SSi:68391.0,371.0] little_set(u) single_valued_set(singleton_set(v)) || equal(ordered_pair(f9(w,x),u),v)* member(w,rotate_right(x)) member(w,singleton_set(v))* -> equal(u,ordered_pair(f10(w,x),f11(w,x)))*. % 299.97/300.40 68419[0:SSi:68390.0,371.0] little_set(u) single_valued_set(powerset(v)) || subset(ordered_pair(f9(w,x),u),v)* member(w,rotate_right(x)) member(w,powerset(v)) -> equal(u,ordered_pair(f10(w,x),f11(w,x)))*. % 299.97/300.40 68674[0:SSi:68641.0,371.0] little_set(u) single_valued_set(singleton_set(v)) || equal(ordered_pair(f12(w,x),u),v)* member(w,flip_range_of(x)) member(w,singleton_set(v))* -> equal(u,ordered_pair(f13(w,x),f14(w,x)))*. % 299.97/300.40 68675[0:SSi:68640.0,371.0] little_set(u) single_valued_set(powerset(v)) || subset(ordered_pair(f12(w,x),u),v)* member(w,flip_range_of(x)) member(w,powerset(v)) -> equal(u,ordered_pair(f13(w,x),f14(w,x)))*. % 299.97/300.40 69179[0:MRR:69146.0,5259.4] || equal(f33(u,v,w,x,y),z)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(non_ordered_pair(x1,z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.40 69180[0:MRR:69145.0,5259.4] || equal(f33(u,v,w,x,y),z)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(non_ordered_pair(z,x1),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.40 69416[0:MRR:69384.0,5304.4] || equal(f32(u,v,w,x,y),z)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(non_ordered_pair(x1,z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.40 69417[0:MRR:69383.0,5304.4] || equal(f32(u,v,w,x,y),z)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(non_ordered_pair(z,x1),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.40 70191[0:SSi:70170.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(singleton_set(y)))*. % 299.97/300.40 70192[0:SSi:70169.0,371.0,371.0] little_set(u) little_set(v) || subset(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(powerset(y)))*. % 299.97/300.40 70196[0:MRR:70195.0,70195.1,19.1,18.1] little_set(u) little_set(v) || member(ordered_pair(f4(w,x),ordered_pair(u,f5(w,x))),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(flip_range_of(y)))*. % 299.97/300.40 70198[0:MRR:70197.0,70197.1,19.1,18.1] little_set(u) little_set(v) || member(ordered_pair(f5(w,x),ordered_pair(u,f4(w,x))),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(rotate_right(y)))*. % 299.97/300.40 70269[0:SSi:70248.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(singleton_set(y)))*. % 299.97/300.40 70270[0:SSi:70247.0,371.0,371.0] little_set(u) little_set(v) || subset(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(powerset(y)))*. % 299.97/300.40 70274[0:MRR:70273.0,70273.1,24.1,23.1] little_set(u) little_set(v) || member(ordered_pair(f6(w,x),ordered_pair(u,f7(w,x))),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(flip_range_of(y)))*. % 299.97/300.40 70276[0:MRR:70275.0,70275.1,24.1,23.1] little_set(u) little_set(v) || member(ordered_pair(f7(w,x),ordered_pair(u,f6(w,x))),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(rotate_right(y)))*. % 299.97/300.40 70344[0:SSi:70320.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(singleton_set(y)))*. % 299.97/300.40 70345[0:SSi:70319.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || subset(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(powerset(y)))*. % 299.97/300.40 70353[0:MRR:70352.0,70352.1,18.1,19.1] little_set(u) little_set(v) || member(ordered_pair(f5(w,x),ordered_pair(f4(w,x),u)),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(rotate_right(y)))*. % 299.97/300.40 70415[0:SSi:70391.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(singleton_set(y)))*. % 299.97/300.40 70416[0:SSi:70390.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || subset(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(powerset(y)))*. % 299.97/300.40 70424[0:MRR:70423.0,70423.1,23.1,24.1] little_set(u) little_set(v) || member(ordered_pair(f7(w,x),ordered_pair(f6(w,x),u)),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(rotate_right(y)))*. % 299.97/300.40 70488[0:MRR:70457.0,1545.1] little_set(u) || equal(first(f22(v,w,x)),y)* member(v,image(w,x)) member(f22(v,w,x),z)* equal(v,u)* -> member(u,image(singleton_set(y),z))*. % 299.97/300.40 70489[0:MRR:70456.0,1545.1] little_set(u) || subset(first(f22(v,w,x)),y)* member(v,image(w,x)) member(f22(v,w,x),z)* equal(v,u)* -> member(u,image(powerset(y),z))*. % 299.97/300.40 71824[16:Res:56196.1,5300.3] || equal(f32(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(ordered_pair(universal_set,z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.40 71823[16:Res:56196.1,5255.3] || equal(f33(u,v,w,x,y),a)** closed(x,y) closed(v,w) maps(u,v,x) disjoint(ordered_pair(universal_set,z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.40 73980[0:MRR:73979.0,133.1] little_set(u) || subset(v,w)* member(x,compose(y,v)) equal(u,x)* member(ordered_pair(f29(x,y,v),f31(x,y,v)),z)* -> member(u,compose(z,w))*. % 299.97/300.40 84036[16:Res:5302.5,83606.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f24(powerset(z))) subset(f32(y,w,x,u,v),z)* -> homomorphism(y,w,x,u,v). % 299.97/300.40 84035[16:Res:5257.5,83606.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f24(powerset(z))) subset(f33(y,w,x,u,v),z)* -> homomorphism(y,w,x,u,v). % 299.97/300.40 84226[2:Res:5302.5,25433.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(z,x1))* subset(z,f32(y,w,x,u,v))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 84225[2:Res:5257.5,25433.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(z,x1))* subset(z,f33(y,w,x,u,v))* -> homomorphism(y,w,x,u,v). % 299.97/300.40 87726[16:Res:82665.1,5163.4] little_set(u) || equal(first(f22(v,w,x)),a) member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(u,image(sigma(infinity),y))*. % 299.97/300.40 87716[16:Res:82665.1,6055.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(sigma(infinity)))*. % 299.97/300.40 87715[16:Res:82665.1,6054.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(sigma(infinity)))*. % 299.97/300.40 87712[16:Res:82665.1,5360.4] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(sigma(infinity)))*. % 299.97/300.40 87711[16:Res:82665.1,5359.4] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(sigma(infinity)))*. % 299.97/300.40 87671[16:Res:82665.1,5236.4] little_set(u) single_valued_set(sigma(infinity)) || equal(ordered_pair(f9(v,w),u),a)** member(v,rotate_right(w)) member(v,sigma(infinity)) -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 299.97/300.40 87670[16:Res:82665.1,5238.4] little_set(u) single_valued_set(sigma(infinity)) || equal(ordered_pair(f12(v,w),u),a)** member(v,flip_range_of(w)) member(v,sigma(infinity)) -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 299.97/300.40 87880[16:Res:82681.1,5163.4] little_set(u) || equal(first(f22(v,w,x)),a) member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(u,image(successor(a),y))*. % 299.97/300.40 87870[16:Res:82681.1,6055.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(successor(a)))*. % 299.97/300.40 87869[16:Res:82681.1,6054.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(successor(a)))*. % 299.97/300.40 87866[16:Res:82681.1,5360.4] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(successor(a)))*. % 299.97/300.40 87865[16:Res:82681.1,5359.4] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(successor(a)))*. % 299.97/300.40 87825[16:Res:82681.1,5236.4] little_set(u) single_valued_set(successor(a)) || equal(ordered_pair(f9(v,w),u),a)** member(v,rotate_right(w)) member(v,successor(a)) -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 299.97/300.40 87824[16:Res:82681.1,5238.4] little_set(u) single_valued_set(successor(a)) || equal(ordered_pair(f12(v,w),u),a)** member(v,flip_range_of(w)) member(v,successor(a)) -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 299.97/300.40 88180[3:Res:82671.1,5162.4] little_set(u) || equal(first(f27(v,w)),infinity) member(v,range_of(w)) member(f27(v,w),x) equal(v,u) -> member(u,image(singleton_set(first(f27(v,w))),x))*. % 299.97/300.40 88139[3:Res:82671.1,4768.1] || equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),infinity) member(u,rotate_right(v)) disjoint(singleton_set(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),v)* -> . % 299.97/300.40 88138[3:Res:82671.1,4620.1] || equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),infinity) member(u,flip_range_of(v)) disjoint(singleton_set(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),v)* -> . % 299.97/300.40 88448[16:Res:57853.0,1438.0] || -> equal(complement(complement(sigma(non_ordered_pair(u,v)))),a) equal(f16(f24(complement(complement(sigma(non_ordered_pair(u,v))))),non_ordered_pair(u,v)),v)** equal(f16(f24(complement(complement(sigma(non_ordered_pair(u,v))))),non_ordered_pair(u,v)),u)**. % 299.97/300.40 88419[16:Res:57853.0,1437.0] || -> equal(complement(complement(range_of(non_ordered_pair(u,v)))),a) equal(f27(f24(complement(complement(range_of(non_ordered_pair(u,v))))),non_ordered_pair(u,v)),v)** equal(f27(f24(complement(complement(range_of(non_ordered_pair(u,v))))),non_ordered_pair(u,v)),u)**. % 299.97/300.40 88417[16:Res:57853.0,1439.0] || -> equal(complement(complement(domain_of(non_ordered_pair(u,v)))),a) equal(f8(f24(complement(complement(domain_of(non_ordered_pair(u,v))))),non_ordered_pair(u,v)),v)** equal(f8(f24(complement(complement(domain_of(non_ordered_pair(u,v))))),non_ordered_pair(u,v)),u)**. % 299.97/300.40 89532[0:Res:4279.1,43745.1] || member(u,compose(v,cross_product(w,flip_range_of(complement(flip_range_of(x)))))) member(second(ordered_pair(f31(u,v,cross_product(w,flip_range_of(complement(flip_range_of(x))))),f30(u,v,cross_product(w,flip_range_of(complement(flip_range_of(x))))))),x)* -> . % 299.97/300.40 89525[0:Res:4278.1,43745.1] || member(u,compose(v,cross_product(flip_range_of(complement(flip_range_of(w))),x))) member(first(ordered_pair(f31(u,v,cross_product(flip_range_of(complement(flip_range_of(w))),x)),f30(u,v,cross_product(flip_range_of(complement(flip_range_of(w))),x)))),w)* -> . % 299.97/300.40 89515[0:Res:4353.1,43745.1] || member(u,compose(cross_product(flip_range_of(complement(flip_range_of(v))),w),x)) member(first(ordered_pair(f29(u,cross_product(flip_range_of(complement(flip_range_of(v))),w),x),f31(u,cross_product(flip_range_of(complement(flip_range_of(v))),w),x))),v)* -> . % 299.97/300.40 89452[0:Res:4354.1,43745.1] || member(u,compose(cross_product(v,flip_range_of(complement(flip_range_of(w)))),x)) member(second(ordered_pair(f29(u,cross_product(v,flip_range_of(complement(flip_range_of(w)))),x),f31(u,cross_product(v,flip_range_of(complement(flip_range_of(w)))),x))),w)* -> . % 299.97/300.40 92728[0:Res:4279.1,19261.0] || member(u,compose(v,cross_product(w,sigma(intersection(x,y))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,sigma(intersection(x,y)))),f30(u,v,cross_product(w,sigma(intersection(x,y)))))),sigma(x))*. % 299.97/300.40 92723[0:Res:5301.5,19261.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,intersection(z,x1))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),sigma(z))*. % 299.97/300.40 92722[0:Res:5256.5,19261.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,intersection(z,x1))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),sigma(z))*. % 299.97/300.40 92700[0:Res:4278.1,19261.0] || member(u,compose(v,cross_product(sigma(intersection(w,x)),y))) -> member(first(ordered_pair(f31(u,v,cross_product(sigma(intersection(w,x)),y)),f30(u,v,cross_product(sigma(intersection(w,x)),y)))),sigma(w))*. % 299.97/300.40 92690[0:Res:4353.1,19261.0] || member(u,compose(cross_product(sigma(intersection(v,w)),x),y)) -> member(first(ordered_pair(f29(u,cross_product(sigma(intersection(v,w)),x),y),f31(u,cross_product(sigma(intersection(v,w)),x),y))),sigma(v))*. % 299.97/300.40 92628[0:Res:4354.1,19261.0] || member(u,compose(cross_product(v,sigma(intersection(w,x))),y)) -> member(second(ordered_pair(f29(u,cross_product(v,sigma(intersection(w,x))),y),f31(u,cross_product(v,sigma(intersection(w,x))),y))),sigma(w))*. % 299.97/300.40 92930[0:Res:4279.1,19263.0] || member(u,compose(v,cross_product(w,sigma(intersection(x,y))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,sigma(intersection(x,y)))),f30(u,v,cross_product(w,sigma(intersection(x,y)))))),sigma(y))*. % 299.97/300.40 92925[0:Res:5301.5,19263.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,intersection(z,x1))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),sigma(x1))*. % 299.97/300.40 92924[0:Res:5256.5,19263.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,intersection(z,x1))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),sigma(x1))*. % 299.97/300.40 92902[0:Res:4278.1,19263.0] || member(u,compose(v,cross_product(sigma(intersection(w,x)),y))) -> member(first(ordered_pair(f31(u,v,cross_product(sigma(intersection(w,x)),y)),f30(u,v,cross_product(sigma(intersection(w,x)),y)))),sigma(x))*. % 299.97/300.40 92892[0:Res:4353.1,19263.0] || member(u,compose(cross_product(sigma(intersection(v,w)),x),y)) -> member(first(ordered_pair(f29(u,cross_product(sigma(intersection(v,w)),x),y),f31(u,cross_product(sigma(intersection(v,w)),x),y))),sigma(w))*. % 299.97/300.40 92830[0:Res:4354.1,19263.0] || member(u,compose(cross_product(v,sigma(intersection(w,x))),y)) -> member(second(ordered_pair(f29(u,cross_product(v,sigma(intersection(w,x))),y),f31(u,cross_product(v,sigma(intersection(w,x))),y))),sigma(x))*. % 299.97/300.40 93028[16:Res:4357.1,56181.0] || member(u,compose(powerset(v),w)) disjoint(v,ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w)))* -> equal(ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w)),a). % 299.97/300.40 93019[16:Res:4282.1,56181.0] || member(u,compose(v,powerset(w))) disjoint(w,ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w))))* -> equal(ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w))),a). % 299.97/300.40 94244[16:Res:57719.1,1438.0] || -> equal(restrict(sigma(non_ordered_pair(u,v)),w),a) equal(f16(f24(restrict(sigma(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f16(f24(restrict(sigma(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.40 94216[16:Res:57719.1,1437.0] || -> equal(restrict(range_of(non_ordered_pair(u,v)),w),a) equal(f27(f24(restrict(range_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f27(f24(restrict(range_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.40 94214[16:Res:57719.1,1439.0] || -> equal(restrict(domain_of(non_ordered_pair(u,v)),w),a) equal(f8(f24(restrict(domain_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f8(f24(restrict(domain_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.40 96194[0:MRR:96158.1,96158.2,85.1,83.1] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(u,f21(singleton_set(w))),x)* member(ordered_pair(f19(singleton_set(w)),u),y)* -> single_valued_set(singleton_set(w)) member(v,compose(y,x))*. % 299.97/300.40 96837[0:MRR:96804.1,96804.2,84.1,83.1] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(u,f20(singleton_set(w))),x)* member(ordered_pair(f19(singleton_set(w)),u),y)* -> single_valued_set(singleton_set(w)) member(v,compose(y,x))*. % 299.97/300.40 97117[3:SSi:97029.0,5742.0,371.1] little_set(u) little_set(v) || equal(v,w) member(ordered_pair(f2(w),u),x) -> member(v,compose(x,converse(powerset(ordered_pair(second(ordered_pair(u,f3(w))),first(ordered_pair(u,f3(w))))))))*. % 299.97/300.40 98437[0:Res:8090.0,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(complement(complement(ordered_pair(f13(u,v),f14(u,v)))),x) member(f17(complement(complement(ordered_pair(f13(u,v),f14(u,v)))),x),second(w))*. % 299.97/300.40 98436[0:Res:8090.0,5068.1] || member(u,rotate_right(v)) equal(w,u) -> subset(complement(complement(ordered_pair(f10(u,v),f11(u,v)))),x) member(f17(complement(complement(ordered_pair(f10(u,v),f11(u,v)))),x),second(w))*. % 299.97/300.40 98553[0:Res:9082.0,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,complement(complement(ordered_pair(f13(u,v),f14(u,v))))) member(f23(x,complement(complement(ordered_pair(f13(u,v),f14(u,v))))),second(w))*. % 299.97/300.40 98552[0:Res:9082.0,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,complement(complement(ordered_pair(f10(u,v),f11(u,v))))) member(f23(x,complement(complement(ordered_pair(f10(u,v),f11(u,v))))),second(w))*. % 299.97/300.40 98743[0:Res:9151.0,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(complement(complement(ordered_pair(f13(u,v),f14(u,v)))),x) member(f23(complement(complement(ordered_pair(f13(u,v),f14(u,v)))),x),second(w))*. % 299.97/300.40 98742[0:Res:9151.0,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(complement(complement(ordered_pair(f10(u,v),f11(u,v)))),x) member(f23(complement(complement(ordered_pair(f10(u,v),f11(u,v)))),x),second(w))*. % 299.97/300.40 99511[3:MRR:99421.0,6185.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(converse(complement(z)),w) -> member(f32(y,w,x,u,v),converse(z))* homomorphism(y,w,x,u,v). % 299.97/300.40 99512[3:MRR:99420.0,6184.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(converse(complement(z)),w) -> member(f33(y,w,x,u,v),converse(z))* homomorphism(y,w,x,u,v). % 299.97/300.40 99709[0:Res:22366.2,6053.4] ordered_pair_predicate(u) ordered_pair_predicate(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f3(v),f2(v))),f2(u))* equal(x,ordered_pair(w,v))* -> member(x,flip_range_of(first(u)))*. % 299.97/300.40 99708[0:Res:22366.2,5358.4] ordered_pair_predicate(u) ordered_pair_predicate(v) little_set(w) little_set(x) || member(ordered_pair(f2(v),ordered_pair(f3(v),w)),f2(u))* equal(x,ordered_pair(w,v))* -> member(x,rotate_right(first(u)))*. % 299.97/300.40 99706[3:Res:22366.2,8204.3] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,f3(x)),f2(u))* equal(w,x)* member(ordered_pair(f2(x),v),y)* -> member(w,compose(y,first(u)))*. % 299.97/300.40 99674[0:Res:22366.2,5226.4] ordered_pair_predicate(u) little_set(v) single_valued_set(first(u)) || member(ordered_pair(f6(w,x),v),f2(u))* member(w,second(x)) member(x,first(u)) -> equal(v,f7(w,x)). % 299.97/300.40 99673[0:Res:22366.2,5225.4] ordered_pair_predicate(u) little_set(v) single_valued_set(first(u)) || member(ordered_pair(f4(w,x),v),f2(u))* member(w,first(x)) member(x,first(u)) -> equal(v,f5(w,x)). % 299.97/300.40 99906[0:Res:22612.2,6053.4] ordered_pair_predicate(u) ordered_pair_predicate(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f3(v),f2(v))),f3(u))* equal(x,ordered_pair(w,v))* -> member(x,flip_range_of(second(u)))*. % 299.97/300.40 99905[0:Res:22612.2,5358.4] ordered_pair_predicate(u) ordered_pair_predicate(v) little_set(w) little_set(x) || member(ordered_pair(f2(v),ordered_pair(f3(v),w)),f3(u))* equal(x,ordered_pair(w,v))* -> member(x,rotate_right(second(u)))*. % 299.97/300.40 99903[3:Res:22612.2,8204.3] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,f3(x)),f3(u))* equal(w,x)* member(ordered_pair(f2(x),v),y)* -> member(w,compose(y,second(u)))*. % 299.97/300.40 99868[0:Res:22612.2,5226.4] ordered_pair_predicate(u) little_set(v) single_valued_set(second(u)) || member(ordered_pair(f6(w,x),v),f3(u))* member(w,second(x)) member(x,second(u)) -> equal(v,f7(w,x)). % 299.97/300.40 99867[0:Res:22612.2,5225.4] ordered_pair_predicate(u) little_set(v) single_valued_set(second(u)) || member(ordered_pair(f4(w,x),v),f3(u))* member(w,first(x)) member(x,second(u)) -> equal(v,f5(w,x)). % 299.97/300.40 100816[16:Res:59048.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(ordered_pair(f13(u,v),f14(u,v)),x),a) member(f1(intersection(ordered_pair(f13(u,v),f14(u,v)),x),a),second(w))*. % 299.97/300.40 100815[16:Res:59048.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(ordered_pair(f10(u,v),f11(u,v)),x),a) member(f1(intersection(ordered_pair(f10(u,v),f11(u,v)),x),a),second(w))*. % 299.97/300.40 100933[16:Res:59049.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,ordered_pair(f13(u,v),f14(u,v))),a) member(f1(intersection(x,ordered_pair(f13(u,v),f14(u,v))),a),second(w))*. % 299.97/300.40 100932[16:Res:59049.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,ordered_pair(f10(u,v),f11(u,v))),a) member(f1(intersection(x,ordered_pair(f10(u,v),f11(u,v))),a),second(w))*. % 299.97/300.40 101034[16:Res:59050.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(ordered_pair(f13(u,v),f14(u,v)),x),a) member(f1(a,intersection(ordered_pair(f13(u,v),f14(u,v)),x)),second(w))*. % 299.97/300.40 101033[16:Res:59050.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(ordered_pair(f10(u,v),f11(u,v)),x),a) member(f1(a,intersection(ordered_pair(f10(u,v),f11(u,v)),x)),second(w))*. % 299.97/300.40 101173[16:Res:59051.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,ordered_pair(f13(u,v),f14(u,v))),a) member(f1(a,intersection(x,ordered_pair(f13(u,v),f14(u,v)))),second(w))*. % 299.97/300.40 101172[16:Res:59051.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,ordered_pair(f10(u,v),f11(u,v))),a) member(f1(a,intersection(x,ordered_pair(f10(u,v),f11(u,v)))),second(w))*. % 299.97/300.40 101367[16:Res:59052.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(restrict(ordered_pair(f13(u,v),f14(u,v)),x),a) member(f1(restrict(ordered_pair(f13(u,v),f14(u,v)),x),a),second(w))*. % 299.97/300.40 101366[16:Res:59052.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(restrict(ordered_pair(f10(u,v),f11(u,v)),x),a) member(f1(restrict(ordered_pair(f10(u,v),f11(u,v)),x),a),second(w))*. % 299.97/300.40 101626[16:Res:59053.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(restrict(ordered_pair(f13(u,v),f14(u,v)),x),a) member(f1(a,restrict(ordered_pair(f13(u,v),f14(u,v)),x)),second(w))*. % 299.97/300.40 101625[16:Res:59053.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(restrict(ordered_pair(f10(u,v),f11(u,v)),x),a) member(f1(a,restrict(ordered_pair(f10(u,v),f11(u,v)),x)),second(w))*. % 299.97/300.40 101907[0:Res:3813.2,1438.0] || disjoint(u,universal_set) -> equal(sigma(non_ordered_pair(v,w)),u) equal(f16(f1(sigma(non_ordered_pair(v,w)),u),non_ordered_pair(v,w)),w)** equal(f16(f1(sigma(non_ordered_pair(v,w)),u),non_ordered_pair(v,w)),v)**. % 299.97/300.40 101904[0:Res:3813.2,5070.1] || disjoint(u,universal_set) member(v,flip_range_of(w)) equal(x,v) -> equal(ordered_pair(f13(v,w),f14(v,w)),u) member(f1(ordered_pair(f13(v,w),f14(v,w)),u),second(x))*. % 299.97/300.40 101903[0:Res:3813.2,5068.1] || disjoint(u,universal_set) member(v,rotate_right(w)) equal(x,v) -> equal(ordered_pair(f10(v,w),f11(v,w)),u) member(f1(ordered_pair(f10(v,w),f11(v,w)),u),second(x))*. % 299.97/300.40 101869[0:Res:3813.2,1437.0] || disjoint(u,universal_set) -> equal(range_of(non_ordered_pair(v,w)),u) equal(f27(f1(range_of(non_ordered_pair(v,w)),u),non_ordered_pair(v,w)),w)** equal(f27(f1(range_of(non_ordered_pair(v,w)),u),non_ordered_pair(v,w)),v)**. % 299.97/300.40 101866[0:Res:3813.2,1439.0] || disjoint(u,universal_set) -> equal(domain_of(non_ordered_pair(v,w)),u) equal(f8(f1(domain_of(non_ordered_pair(v,w)),u),non_ordered_pair(v,w)),w)** equal(f8(f1(domain_of(non_ordered_pair(v,w)),u),non_ordered_pair(v,w)),v)**. % 299.97/300.40 102040[0:Res:3831.2,1438.0] || disjoint(u,universal_set) -> equal(u,sigma(non_ordered_pair(v,w))) equal(f16(f1(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f16(f1(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 102037[0:Res:3831.2,5070.1] || disjoint(u,universal_set) member(v,flip_range_of(w)) equal(x,v) -> equal(u,ordered_pair(f13(v,w),f14(v,w))) member(f1(u,ordered_pair(f13(v,w),f14(v,w))),second(x))*. % 299.97/300.40 102036[0:Res:3831.2,5068.1] || disjoint(u,universal_set) member(v,rotate_right(w)) equal(x,v) -> equal(u,ordered_pair(f10(v,w),f11(v,w))) member(f1(u,ordered_pair(f10(v,w),f11(v,w))),second(x))*. % 299.97/300.40 102003[0:Res:3831.2,1437.0] || disjoint(u,universal_set) -> equal(u,range_of(non_ordered_pair(v,w))) equal(f27(f1(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f27(f1(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 102000[0:Res:3831.2,1439.0] || disjoint(u,universal_set) -> equal(u,domain_of(non_ordered_pair(v,w))) equal(f8(f1(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f8(f1(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.40 103629[0:Res:3842.1,16184.0] || -> equal(intersection(u,v),domain_of(intersection(cross_product(w,x),y))) member(f1(intersection(u,v),domain_of(intersection(cross_product(w,x),y))),u)* member(f1(intersection(u,v),domain_of(intersection(cross_product(w,x),y))),w)*. % 299.97/300.40 103628[0:Res:3843.1,16184.0] || -> equal(intersection(u,v),domain_of(intersection(cross_product(w,x),y))) member(f1(intersection(u,v),domain_of(intersection(cross_product(w,x),y))),v)* member(f1(intersection(u,v),domain_of(intersection(cross_product(w,x),y))),w)*. % 299.97/300.40 103627[0:Res:3825.2,16184.0] || -> equal(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))) member(f1(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))),u)* member(f1(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))),w)*. % 299.97/300.40 103591[0:Res:3843.2,16184.0] || -> equal(intersection(u,domain_of(intersection(cross_product(v,w),x))),y) member(f1(intersection(u,domain_of(intersection(cross_product(v,w),x))),y),y)* member(f1(intersection(u,domain_of(intersection(cross_product(v,w),x))),y),v)*. % 299.97/300.40 103587[0:Res:3824.2,16184.0] || -> equal(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)) member(f1(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)),u)* member(f1(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)),v)*. % 299.97/300.40 103541[0:Res:3842.2,16184.0] || -> equal(intersection(domain_of(intersection(cross_product(u,v),w)),x),y) member(f1(intersection(domain_of(intersection(cross_product(u,v),w)),x),y),y)* member(f1(intersection(domain_of(intersection(cross_product(u,v),w)),x),y),u)*. % 299.97/300.40 103535[0:Res:3824.1,16184.0] || -> equal(domain_of(intersection(cross_product(u,v),w)),intersection(x,y)) member(f1(domain_of(intersection(cross_product(u,v),w)),intersection(x,y)),x)* member(f1(domain_of(intersection(cross_product(u,v),w)),intersection(x,y)),u)*. % 299.97/300.40 103534[0:Res:3825.1,16184.0] || -> equal(domain_of(intersection(cross_product(u,v),w)),intersection(x,y)) member(f1(domain_of(intersection(cross_product(u,v),w)),intersection(x,y)),y)* member(f1(domain_of(intersection(cross_product(u,v),w)),intersection(x,y)),u)*. % 299.97/300.40 103871[0:Res:3842.1,16416.0] || -> equal(intersection(u,v),domain_of(intersection(w,cross_product(x,y)))) member(f1(intersection(u,v),domain_of(intersection(w,cross_product(x,y)))),u)* member(f1(intersection(u,v),domain_of(intersection(w,cross_product(x,y)))),x)*. % 299.97/300.40 103870[0:Res:3843.1,16416.0] || -> equal(intersection(u,v),domain_of(intersection(w,cross_product(x,y)))) member(f1(intersection(u,v),domain_of(intersection(w,cross_product(x,y)))),v)* member(f1(intersection(u,v),domain_of(intersection(w,cross_product(x,y)))),x)*. % 299.97/300.40 103869[0:Res:3825.2,16416.0] || -> equal(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))) member(f1(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))),u)* member(f1(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))),x)*. % 299.97/300.40 103833[0:Res:3843.2,16416.0] || -> equal(intersection(u,domain_of(intersection(v,cross_product(w,x)))),y) member(f1(intersection(u,domain_of(intersection(v,cross_product(w,x)))),y),y)* member(f1(intersection(u,domain_of(intersection(v,cross_product(w,x)))),y),w)*. % 299.97/300.40 103829[0:Res:3824.2,16416.0] || -> equal(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)) member(f1(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)),u)* member(f1(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)),w)*. % 299.97/300.40 103783[0:Res:3842.2,16416.0] || -> equal(intersection(domain_of(intersection(u,cross_product(v,w))),x),y) member(f1(intersection(domain_of(intersection(u,cross_product(v,w))),x),y),y)* member(f1(intersection(domain_of(intersection(u,cross_product(v,w))),x),y),v)*. % 299.97/300.40 103777[0:Res:3824.1,16416.0] || -> equal(domain_of(intersection(u,cross_product(v,w))),intersection(x,y)) member(f1(domain_of(intersection(u,cross_product(v,w))),intersection(x,y)),x)* member(f1(domain_of(intersection(u,cross_product(v,w))),intersection(x,y)),v)*. % 299.97/300.40 103776[0:Res:3825.1,16416.0] || -> equal(domain_of(intersection(u,cross_product(v,w))),intersection(x,y)) member(f1(domain_of(intersection(u,cross_product(v,w))),intersection(x,y)),y)* member(f1(domain_of(intersection(u,cross_product(v,w))),intersection(x,y)),v)*. % 299.97/300.40 104116[0:Res:3842.1,17439.0] || -> equal(intersection(u,v),range_of(intersection(cross_product(w,x),y))) member(f1(intersection(u,v),range_of(intersection(cross_product(w,x),y))),u)* member(f1(intersection(u,v),range_of(intersection(cross_product(w,x),y))),x)*. % 299.97/300.40 104115[0:Res:3843.1,17439.0] || -> equal(intersection(u,v),range_of(intersection(cross_product(w,x),y))) member(f1(intersection(u,v),range_of(intersection(cross_product(w,x),y))),v)* member(f1(intersection(u,v),range_of(intersection(cross_product(w,x),y))),x)*. % 299.97/300.40 104114[0:Res:3825.2,17439.0] || -> equal(u,intersection(v,range_of(intersection(cross_product(w,x),y)))) member(f1(u,intersection(v,range_of(intersection(cross_product(w,x),y)))),u)* member(f1(u,intersection(v,range_of(intersection(cross_product(w,x),y)))),x)*. % 299.97/300.40 104078[0:Res:3843.2,17439.0] || -> equal(intersection(u,range_of(intersection(cross_product(v,w),x))),y) member(f1(intersection(u,range_of(intersection(cross_product(v,w),x))),y),y)* member(f1(intersection(u,range_of(intersection(cross_product(v,w),x))),y),w)*. % 299.97/300.40 104074[0:Res:3824.2,17439.0] || -> equal(u,intersection(range_of(intersection(cross_product(v,w),x)),y)) member(f1(u,intersection(range_of(intersection(cross_product(v,w),x)),y)),u)* member(f1(u,intersection(range_of(intersection(cross_product(v,w),x)),y)),w)*. % 299.97/300.40 104028[0:Res:3842.2,17439.0] || -> equal(intersection(range_of(intersection(cross_product(u,v),w)),x),y) member(f1(intersection(range_of(intersection(cross_product(u,v),w)),x),y),y)* member(f1(intersection(range_of(intersection(cross_product(u,v),w)),x),y),v)*. % 299.97/300.40 104022[0:Res:3824.1,17439.0] || -> equal(range_of(intersection(cross_product(u,v),w)),intersection(x,y)) member(f1(range_of(intersection(cross_product(u,v),w)),intersection(x,y)),x)* member(f1(range_of(intersection(cross_product(u,v),w)),intersection(x,y)),v)*. % 299.97/300.40 104021[0:Res:3825.1,17439.0] || -> equal(range_of(intersection(cross_product(u,v),w)),intersection(x,y)) member(f1(range_of(intersection(cross_product(u,v),w)),intersection(x,y)),y)* member(f1(range_of(intersection(cross_product(u,v),w)),intersection(x,y)),v)*. % 299.97/300.40 104393[0:Res:3842.1,17546.0] || -> equal(intersection(u,v),range_of(intersection(w,cross_product(x,y)))) member(f1(intersection(u,v),range_of(intersection(w,cross_product(x,y)))),u)* member(f1(intersection(u,v),range_of(intersection(w,cross_product(x,y)))),y)*. % 299.97/300.40 104392[0:Res:3843.1,17546.0] || -> equal(intersection(u,v),range_of(intersection(w,cross_product(x,y)))) member(f1(intersection(u,v),range_of(intersection(w,cross_product(x,y)))),v)* member(f1(intersection(u,v),range_of(intersection(w,cross_product(x,y)))),y)*. % 299.97/300.40 104391[0:Res:3825.2,17546.0] || -> equal(u,intersection(v,range_of(intersection(w,cross_product(x,y))))) member(f1(u,intersection(v,range_of(intersection(w,cross_product(x,y))))),u)* member(f1(u,intersection(v,range_of(intersection(w,cross_product(x,y))))),y)*. % 299.97/300.40 104355[0:Res:3843.2,17546.0] || -> equal(intersection(u,range_of(intersection(v,cross_product(w,x)))),y) member(f1(intersection(u,range_of(intersection(v,cross_product(w,x)))),y),y)* member(f1(intersection(u,range_of(intersection(v,cross_product(w,x)))),y),x)*. % 299.97/300.40 104351[0:Res:3824.2,17546.0] || -> equal(u,intersection(range_of(intersection(v,cross_product(w,x))),y)) member(f1(u,intersection(range_of(intersection(v,cross_product(w,x))),y)),u)* member(f1(u,intersection(range_of(intersection(v,cross_product(w,x))),y)),x)*. % 299.97/300.40 104305[0:Res:3842.2,17546.0] || -> equal(intersection(range_of(intersection(u,cross_product(v,w))),x),y) member(f1(intersection(range_of(intersection(u,cross_product(v,w))),x),y),y)* member(f1(intersection(range_of(intersection(u,cross_product(v,w))),x),y),w)*. % 299.97/300.40 104299[0:Res:3824.1,17546.0] || -> equal(range_of(intersection(u,cross_product(v,w))),intersection(x,y)) member(f1(range_of(intersection(u,cross_product(v,w))),intersection(x,y)),x)* member(f1(range_of(intersection(u,cross_product(v,w))),intersection(x,y)),w)*. % 299.97/300.40 104298[0:Res:3825.1,17546.0] || -> equal(range_of(intersection(u,cross_product(v,w))),intersection(x,y)) member(f1(range_of(intersection(u,cross_product(v,w))),intersection(x,y)),y)* member(f1(range_of(intersection(u,cross_product(v,w))),intersection(x,y)),w)*. % 299.97/300.40 104779[0:MRR:104694.0,5304.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(union(z,x1),w)* -> member(f32(y,w,x,u,v),complement(z))* homomorphism(y,w,x,u,v). % 299.97/300.40 104780[0:MRR:104693.0,5259.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(union(z,x1),w)* -> member(f33(y,w,x,u,v),complement(z))* homomorphism(y,w,x,u,v). % 299.97/300.40 105125[0:MRR:105038.0,5304.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(union(z,x1),w)* -> member(f32(y,w,x,u,v),complement(x1))* homomorphism(y,w,x,u,v). % 299.97/300.40 105126[0:MRR:105037.0,5259.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(union(z,x1),w)* -> member(f33(y,w,x,u,v),complement(x1))* homomorphism(y,w,x,u,v). % 299.97/300.40 5271[0:Res:143.3,282.0] || closed(u,v) closed(restrict(w,x),y) maps(z,restrict(w,x),u) -> homomorphism(z,restrict(w,x),y,u,v) member(f33(z,restrict(w,x),y,u,v),w)*. % 299.97/300.40 5316[0:Res:142.3,282.0] || closed(u,v) closed(restrict(w,x),y) maps(z,restrict(w,x),u) -> homomorphism(z,restrict(w,x),y,u,v) member(f32(z,restrict(w,x),y,u,v),w)*. % 299.97/300.40 10935[2:Res:378.3,616.1] ordered_pair_predicate(first(f27(cross_product(u,v),w))) || member(second(first(f27(cross_product(u,v),w))),v)* member(first(first(f27(cross_product(u,v),w))),u)* member(cross_product(u,v),range_of(w)) -> . % 299.97/300.40 12068[3:SSi:12040.0,5742.0,371.1] || member(second(ordered_pair(f19(complement(cross_product(u,v))),f21(complement(cross_product(u,v))))),v)* member(first(ordered_pair(f19(complement(cross_product(u,v))),f21(complement(cross_product(u,v))))),u)* -> single_valued_set(complement(cross_product(u,v))). % 299.97/300.40 12138[3:SSi:12110.0,5742.0,371.1] || member(second(ordered_pair(f19(complement(cross_product(u,v))),f20(complement(cross_product(u,v))))),v)* member(first(ordered_pair(f19(complement(cross_product(u,v))),f20(complement(cross_product(u,v))))),u)* -> single_valued_set(complement(cross_product(u,v))). % 299.97/300.40 13270[0:Res:142.3,10964.0] || closed(u,v) closed(complement(complement(w)),x) maps(y,complement(complement(w)),u) -> homomorphism(y,complement(complement(w)),x,u,v) member(f32(y,complement(complement(w)),x,u,v),w)*. % 299.97/300.40 13269[0:Res:143.3,10964.0] || closed(u,v) closed(complement(complement(w)),x) maps(y,complement(complement(w)),u) -> homomorphism(y,complement(complement(w)),x,u,v) member(f33(y,complement(complement(w)),x,u,v),w)*. % 299.97/300.40 17064[0:Res:142.3,15955.0] || closed(u,v) closed(sigma(powerset(w)),x) maps(y,sigma(powerset(w)),u) -> homomorphism(y,sigma(powerset(w)),x,u,v) member(f32(y,sigma(powerset(w)),x,u,v),w)*. % 299.97/300.40 17063[0:Res:143.3,15955.0] || closed(u,v) closed(sigma(powerset(w)),x) maps(y,sigma(powerset(w)),u) -> homomorphism(y,sigma(powerset(w)),x,u,v) member(f33(y,sigma(powerset(w)),x,u,v),w)*. % 299.97/300.40 21146[0:Res:3651.2,259.0] || member(ordered_pair(f19(complement(restrict(u,v))),f20(complement(restrict(u,v)))),cross_product(v,universal_set))* member(ordered_pair(f19(complement(restrict(u,v))),f20(complement(restrict(u,v)))),u)* -> single_valued_set(complement(restrict(u,v))). % 299.97/300.40 21145[0:Res:3651.2,258.0] || member(ordered_pair(f19(complement(restrict(u,v))),f21(complement(restrict(u,v)))),cross_product(v,universal_set))* member(ordered_pair(f19(complement(restrict(u,v))),f21(complement(restrict(u,v)))),u)* -> single_valued_set(complement(restrict(u,v))). % 299.97/300.40 22811[0:Res:3821.1,1020.0] || -> equal(converse(intersection(u,v)),powerset(w)) subset(f1(converse(intersection(u,v)),powerset(w)),w) member(ordered_pair(second(f1(converse(intersection(u,v)),powerset(w))),first(f1(converse(intersection(u,v)),powerset(w)))),u)*. % 299.97/300.40 22810[0:Res:3821.1,1021.0] || -> equal(converse(intersection(u,v)),powerset(w)) subset(f1(converse(intersection(u,v)),powerset(w)),w) member(ordered_pair(second(f1(converse(intersection(u,v)),powerset(w))),first(f1(converse(intersection(u,v)),powerset(w)))),v)*. % 299.97/300.40 22906[0:Res:3839.1,1020.0] || -> equal(powerset(u),converse(intersection(v,w))) subset(f1(powerset(u),converse(intersection(v,w))),u) member(ordered_pair(second(f1(powerset(u),converse(intersection(v,w)))),first(f1(powerset(u),converse(intersection(v,w))))),v)*. % 299.97/300.40 22905[0:Res:3839.1,1021.0] || -> equal(powerset(u),converse(intersection(v,w))) subset(f1(powerset(u),converse(intersection(v,w))),u) member(ordered_pair(second(f1(powerset(u),converse(intersection(v,w)))),first(f1(powerset(u),converse(intersection(v,w))))),w)*. % 299.97/300.40 25796[0:Res:1344.1,1421.0] || member(u,image(v,cross_product(ordered_pair(w,x),y))) -> equal(first(f22(u,v,cross_product(ordered_pair(w,x),y))),non_ordered_pair(w,x))** equal(first(f22(u,v,cross_product(ordered_pair(w,x),y))),singleton_set(w)). % 299.97/300.40 25769[0:Res:1344.1,1163.0] || member(u,image(v,cross_product(converse(w),x))) member(w,y) -> member(ordered_pair(second(first(f22(u,v,cross_product(converse(w),x)))),first(first(f22(u,v,cross_product(converse(w),x))))),sigma(y))*. % 299.97/300.40 25933[0:Res:1555.1,1421.0] || member(u,image(intersection(ordered_pair(v,w),x),y)) -> equal(first(f22(u,intersection(ordered_pair(v,w),x),y)),non_ordered_pair(v,w))** equal(first(f22(u,intersection(ordered_pair(v,w),x),y)),singleton_set(v)). % 299.97/300.40 25906[0:Res:1555.1,1163.0] || member(u,image(intersection(converse(v),w),x)) member(v,y) -> member(ordered_pair(second(first(f22(u,intersection(converse(v),w),x))),first(first(f22(u,intersection(converse(v),w),x)))),sigma(y))*. % 299.97/300.40 26090[0:Res:1556.1,1421.0] || member(u,image(intersection(v,ordered_pair(w,x)),y)) -> equal(first(f22(u,intersection(v,ordered_pair(w,x)),y)),non_ordered_pair(w,x))** equal(first(f22(u,intersection(v,ordered_pair(w,x)),y)),singleton_set(w)). % 299.97/300.40 26063[0:Res:1556.1,1163.0] || member(u,image(intersection(v,converse(w)),x)) member(w,y) -> member(ordered_pair(second(first(f22(u,intersection(v,converse(w)),x))),first(first(f22(u,intersection(v,converse(w)),x)))),sigma(y))*. % 299.97/300.40 26160[0:Res:1280.1,1421.0] || member(u,apply(cross_product(v,ordered_pair(w,x)),y)) -> equal(second(f28(u,cross_product(v,ordered_pair(w,x)),y)),non_ordered_pair(w,x))** equal(second(f28(u,cross_product(v,ordered_pair(w,x)),y)),singleton_set(w)). % 299.97/300.40 26133[0:Res:1280.1,1163.0] || member(u,apply(cross_product(v,converse(w)),x)) member(w,y) -> member(ordered_pair(second(second(f28(u,cross_product(v,converse(w)),x))),first(second(f28(u,cross_product(v,converse(w)),x)))),sigma(y))*. % 299.97/300.40 26368[0:Res:1548.1,3812.0] || member(u,image(powerset(v),w)) -> equal(x,first(f22(u,powerset(v),w))) member(f1(x,first(f22(u,powerset(v),w))),x)* member(f1(x,first(f22(u,powerset(v),w))),v)*. % 299.97/300.40 26497[0:Res:1548.1,3830.0] || member(u,image(powerset(v),w)) -> equal(first(f22(u,powerset(v),w)),x) member(f1(first(f22(u,powerset(v),w)),x),x)* member(f1(first(f22(u,powerset(v),w)),x),v)*. % 299.97/300.40 31445[0:Res:3824.2,5065.1] || member(u,second(v)) equal(w,v) -> equal(x,intersection(f7(u,v),y)) member(f1(x,intersection(f7(u,v),y)),x)* member(f1(x,intersection(f7(u,v),y)),second(w))*. % 299.97/300.40 31444[0:Res:3824.2,5064.1] || member(u,first(v)) equal(w,v) -> equal(x,intersection(f5(u,v),y)) member(f1(x,intersection(f5(u,v),y)),x)* member(f1(x,intersection(f5(u,v),y)),second(w))*. % 299.97/300.40 31443[0:Res:3824.2,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(x,intersection(f12(u,v),y)) member(f1(x,intersection(f12(u,v),y)),x)* member(f1(x,intersection(f12(u,v),y)),first(w))*. % 299.97/300.40 31442[0:Res:3824.2,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(x,intersection(f9(u,v),y)) member(f1(x,intersection(f9(u,v),y)),x)* member(f1(x,intersection(f9(u,v),y)),first(w))*. % 299.97/300.40 31441[0:Res:3824.2,5020.1] || member(u,second(v)) equal(w,v) -> equal(x,intersection(f6(u,v),y)) member(f1(x,intersection(f6(u,v),y)),x)* member(f1(x,intersection(f6(u,v),y)),first(w))*. % 299.97/300.40 31440[0:Res:3824.2,5019.1] || member(u,first(v)) equal(w,v) -> equal(x,intersection(f4(u,v),y)) member(f1(x,intersection(f4(u,v),y)),x)* member(f1(x,intersection(f4(u,v),y)),first(w))*. % 299.97/300.40 31410[0:Res:3824.2,1009.0] || subset(u,v) -> equal(w,intersection(converse(u),x)) member(f1(w,intersection(converse(u),x)),w) member(ordered_pair(second(f1(w,intersection(converse(u),x))),first(f1(w,intersection(converse(u),x)))),v)*. % 299.97/300.40 31388[0:Res:3824.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),intersection(x,y)) member(f1(f7(u,v),intersection(x,y)),x)* member(f1(f7(u,v),intersection(x,y)),second(w))*. % 299.97/300.40 31387[0:Res:3824.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),intersection(x,y)) member(f1(f5(u,v),intersection(x,y)),x)* member(f1(f5(u,v),intersection(x,y)),second(w))*. % 299.97/300.40 31386[0:Res:3824.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),intersection(x,y)) member(f1(f12(u,v),intersection(x,y)),x)* member(f1(f12(u,v),intersection(x,y)),first(w))*. % 299.97/300.40 31385[0:Res:3824.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),intersection(x,y)) member(f1(f9(u,v),intersection(x,y)),x)* member(f1(f9(u,v),intersection(x,y)),first(w))*. % 299.97/300.40 31384[0:Res:3824.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),intersection(x,y)) member(f1(f6(u,v),intersection(x,y)),x)* member(f1(f6(u,v),intersection(x,y)),first(w))*. % 299.97/300.40 31383[0:Res:3824.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),intersection(x,y)) member(f1(f4(u,v),intersection(x,y)),x)* member(f1(f4(u,v),intersection(x,y)),first(w))*. % 299.97/300.40 31352[0:Res:3824.1,1009.0] || subset(u,v) -> equal(converse(u),intersection(w,x)) member(f1(converse(u),intersection(w,x)),w) member(ordered_pair(second(f1(converse(u),intersection(w,x))),first(f1(converse(u),intersection(w,x)))),v)*. % 299.97/300.40 31655[0:Res:3825.2,5065.1] || member(u,second(v)) equal(w,v) -> equal(x,intersection(y,f7(u,v))) member(f1(x,intersection(y,f7(u,v))),x)* member(f1(x,intersection(y,f7(u,v))),second(w))*. % 299.97/300.40 31654[0:Res:3825.2,5064.1] || member(u,first(v)) equal(w,v) -> equal(x,intersection(y,f5(u,v))) member(f1(x,intersection(y,f5(u,v))),x)* member(f1(x,intersection(y,f5(u,v))),second(w))*. % 299.97/300.40 31653[0:Res:3825.2,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(x,intersection(y,f12(u,v))) member(f1(x,intersection(y,f12(u,v))),x)* member(f1(x,intersection(y,f12(u,v))),first(w))*. % 299.97/300.40 31652[0:Res:3825.2,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(x,intersection(y,f9(u,v))) member(f1(x,intersection(y,f9(u,v))),x)* member(f1(x,intersection(y,f9(u,v))),first(w))*. % 299.97/300.40 31651[0:Res:3825.2,5020.1] || member(u,second(v)) equal(w,v) -> equal(x,intersection(y,f6(u,v))) member(f1(x,intersection(y,f6(u,v))),x)* member(f1(x,intersection(y,f6(u,v))),first(w))*. % 299.97/300.40 31650[0:Res:3825.2,5019.1] || member(u,first(v)) equal(w,v) -> equal(x,intersection(y,f4(u,v))) member(f1(x,intersection(y,f4(u,v))),x)* member(f1(x,intersection(y,f4(u,v))),first(w))*. % 299.97/300.40 31620[0:Res:3825.2,1009.0] || subset(u,v) -> equal(w,intersection(x,converse(u))) member(f1(w,intersection(x,converse(u))),w) member(ordered_pair(second(f1(w,intersection(x,converse(u)))),first(f1(w,intersection(x,converse(u))))),v)*. % 299.97/300.40 31598[0:Res:3825.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),intersection(x,y)) member(f1(f7(u,v),intersection(x,y)),y)* member(f1(f7(u,v),intersection(x,y)),second(w))*. % 299.97/300.40 31597[0:Res:3825.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),intersection(x,y)) member(f1(f5(u,v),intersection(x,y)),y)* member(f1(f5(u,v),intersection(x,y)),second(w))*. % 299.97/300.40 31596[0:Res:3825.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),intersection(x,y)) member(f1(f12(u,v),intersection(x,y)),y)* member(f1(f12(u,v),intersection(x,y)),first(w))*. % 299.97/300.40 31595[0:Res:3825.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),intersection(x,y)) member(f1(f9(u,v),intersection(x,y)),y)* member(f1(f9(u,v),intersection(x,y)),first(w))*. % 299.97/300.40 31594[0:Res:3825.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),intersection(x,y)) member(f1(f6(u,v),intersection(x,y)),y)* member(f1(f6(u,v),intersection(x,y)),first(w))*. % 299.97/300.40 31593[0:Res:3825.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),intersection(x,y)) member(f1(f4(u,v),intersection(x,y)),y)* member(f1(f4(u,v),intersection(x,y)),first(w))*. % 299.97/300.40 31562[0:Res:3825.1,1009.0] || subset(u,v) -> equal(converse(u),intersection(w,x)) member(f1(converse(u),intersection(w,x)),x) member(ordered_pair(second(f1(converse(u),intersection(w,x))),first(f1(converse(u),intersection(w,x)))),v)*. % 299.97/300.40 31838[0:Res:3842.2,5065.1] || member(u,second(v)) equal(w,v) -> equal(intersection(f7(u,v),x),y) member(f1(intersection(f7(u,v),x),y),y)* member(f1(intersection(f7(u,v),x),y),second(w))*. % 299.97/300.40 31837[0:Res:3842.2,5064.1] || member(u,first(v)) equal(w,v) -> equal(intersection(f5(u,v),x),y) member(f1(intersection(f5(u,v),x),y),y)* member(f1(intersection(f5(u,v),x),y),second(w))*. % 299.97/300.40 31836[0:Res:3842.2,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(f12(u,v),x),y) member(f1(intersection(f12(u,v),x),y),y)* member(f1(intersection(f12(u,v),x),y),first(w))*. % 299.97/300.40 31835[0:Res:3842.2,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(f9(u,v),x),y) member(f1(intersection(f9(u,v),x),y),y)* member(f1(intersection(f9(u,v),x),y),first(w))*. % 299.97/300.40 31834[0:Res:3842.2,5020.1] || member(u,second(v)) equal(w,v) -> equal(intersection(f6(u,v),x),y) member(f1(intersection(f6(u,v),x),y),y)* member(f1(intersection(f6(u,v),x),y),first(w))*. % 299.97/300.40 31833[0:Res:3842.2,5019.1] || member(u,first(v)) equal(w,v) -> equal(intersection(f4(u,v),x),y) member(f1(intersection(f4(u,v),x),y),y)* member(f1(intersection(f4(u,v),x),y),first(w))*. % 299.97/300.40 31803[0:Res:3842.2,1009.0] || subset(u,v) -> equal(intersection(converse(u),w),x) member(f1(intersection(converse(u),w),x),x) member(ordered_pair(second(f1(intersection(converse(u),w),x)),first(f1(intersection(converse(u),w),x))),v)*. % 299.97/300.40 31781[0:Res:3842.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(intersection(x,y),f7(u,v)) member(f1(intersection(x,y),f7(u,v)),x)* member(f1(intersection(x,y),f7(u,v)),second(w))*. % 299.97/300.40 31780[0:Res:3842.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(intersection(x,y),f5(u,v)) member(f1(intersection(x,y),f5(u,v)),x)* member(f1(intersection(x,y),f5(u,v)),second(w))*. % 299.97/300.40 31779[0:Res:3842.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,y),f12(u,v)) member(f1(intersection(x,y),f12(u,v)),x)* member(f1(intersection(x,y),f12(u,v)),first(w))*. % 299.97/300.40 31778[0:Res:3842.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,y),f9(u,v)) member(f1(intersection(x,y),f9(u,v)),x)* member(f1(intersection(x,y),f9(u,v)),first(w))*. % 299.97/300.40 31777[0:Res:3842.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(intersection(x,y),f6(u,v)) member(f1(intersection(x,y),f6(u,v)),x)* member(f1(intersection(x,y),f6(u,v)),first(w))*. % 299.97/300.40 31776[0:Res:3842.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(intersection(x,y),f4(u,v)) member(f1(intersection(x,y),f4(u,v)),x)* member(f1(intersection(x,y),f4(u,v)),first(w))*. % 299.97/300.40 31745[0:Res:3842.1,1009.0] || subset(u,v) -> equal(intersection(w,x),converse(u)) member(f1(intersection(w,x),converse(u)),w) member(ordered_pair(second(f1(intersection(w,x),converse(u))),first(f1(intersection(w,x),converse(u)))),v)*. % 299.97/300.40 32019[0:Res:3843.2,5065.1] || member(u,second(v)) equal(w,v) -> equal(intersection(x,f7(u,v)),y) member(f1(intersection(x,f7(u,v)),y),y)* member(f1(intersection(x,f7(u,v)),y),second(w))*. % 299.97/300.40 32018[0:Res:3843.2,5064.1] || member(u,first(v)) equal(w,v) -> equal(intersection(x,f5(u,v)),y) member(f1(intersection(x,f5(u,v)),y),y)* member(f1(intersection(x,f5(u,v)),y),second(w))*. % 299.97/300.40 32017[0:Res:3843.2,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,f12(u,v)),y) member(f1(intersection(x,f12(u,v)),y),y)* member(f1(intersection(x,f12(u,v)),y),first(w))*. % 299.97/300.40 32016[0:Res:3843.2,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,f9(u,v)),y) member(f1(intersection(x,f9(u,v)),y),y)* member(f1(intersection(x,f9(u,v)),y),first(w))*. % 299.97/300.40 32015[0:Res:3843.2,5020.1] || member(u,second(v)) equal(w,v) -> equal(intersection(x,f6(u,v)),y) member(f1(intersection(x,f6(u,v)),y),y)* member(f1(intersection(x,f6(u,v)),y),first(w))*. % 299.97/300.40 32014[0:Res:3843.2,5019.1] || member(u,first(v)) equal(w,v) -> equal(intersection(x,f4(u,v)),y) member(f1(intersection(x,f4(u,v)),y),y)* member(f1(intersection(x,f4(u,v)),y),first(w))*. % 299.97/300.40 31984[0:Res:3843.2,1009.0] || subset(u,v) -> equal(intersection(w,converse(u)),x) member(f1(intersection(w,converse(u)),x),x) member(ordered_pair(second(f1(intersection(w,converse(u)),x)),first(f1(intersection(w,converse(u)),x))),v)*. % 299.97/300.40 31962[0:Res:3843.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(intersection(x,y),f7(u,v)) member(f1(intersection(x,y),f7(u,v)),y)* member(f1(intersection(x,y),f7(u,v)),second(w))*. % 299.97/300.40 31961[0:Res:3843.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(intersection(x,y),f5(u,v)) member(f1(intersection(x,y),f5(u,v)),y)* member(f1(intersection(x,y),f5(u,v)),second(w))*. % 299.97/300.40 31960[0:Res:3843.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,y),f12(u,v)) member(f1(intersection(x,y),f12(u,v)),y)* member(f1(intersection(x,y),f12(u,v)),first(w))*. % 299.97/300.40 31959[0:Res:3843.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,y),f9(u,v)) member(f1(intersection(x,y),f9(u,v)),y)* member(f1(intersection(x,y),f9(u,v)),first(w))*. % 299.97/300.40 31958[0:Res:3843.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(intersection(x,y),f6(u,v)) member(f1(intersection(x,y),f6(u,v)),y)* member(f1(intersection(x,y),f6(u,v)),first(w))*. % 299.97/300.40 31957[0:Res:3843.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(intersection(x,y),f4(u,v)) member(f1(intersection(x,y),f4(u,v)),y)* member(f1(intersection(x,y),f4(u,v)),first(w))*. % 299.97/300.40 31926[0:Res:3843.1,1009.0] || subset(u,v) -> equal(intersection(w,x),converse(u)) member(f1(intersection(w,x),converse(u)),x) member(ordered_pair(second(f1(intersection(w,x),converse(u))),first(f1(intersection(w,x),converse(u)))),v)*. % 299.97/300.40 32156[0:Res:1008.2,1163.0] || member(u,range_of(v)) member(f27(u,v),converse(converse(w)))* member(w,x)* -> member(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),sigma(x))*. % 299.97/300.40 32327[0:Res:1007.2,1163.0] || member(u,domain_of(v)) member(f8(u,v),converse(converse(w)))* member(w,x)* -> member(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),sigma(x))*. % 299.97/300.40 32824[0:Res:3836.2,314.0] || member(second(f1(cross_product(u,intersection(complement(v),complement(w))),x)),union(v,w))* -> equal(cross_product(u,intersection(complement(v),complement(w))),x) member(f1(cross_product(u,intersection(complement(v),complement(w))),x),x)*. % 299.97/300.40 32766[0:Res:3836.1,314.0] || member(f1(cross_product(u,v),intersection(complement(w),complement(x))),union(w,x))* -> equal(cross_product(u,v),intersection(complement(w),complement(x))) member(second(f1(cross_product(u,v),intersection(complement(w),complement(x)))),v)*. % 299.97/300.40 32746[0:Res:3836.1,8.0] || -> equal(cross_product(u,v),non_ordered_pair(w,x)) member(second(f1(cross_product(u,v),non_ordered_pair(w,x))),v)* equal(f1(cross_product(u,v),non_ordered_pair(w,x)),x) equal(f1(cross_product(u,v),non_ordered_pair(w,x)),w). % 299.97/300.40 32989[0:Res:3835.2,314.0] || member(first(f1(cross_product(intersection(complement(u),complement(v)),w),x)),union(u,v))* -> equal(cross_product(intersection(complement(u),complement(v)),w),x) member(f1(cross_product(intersection(complement(u),complement(v)),w),x),x)*. % 299.97/300.40 32931[0:Res:3835.1,314.0] || member(f1(cross_product(u,v),intersection(complement(w),complement(x))),union(w,x))* -> equal(cross_product(u,v),intersection(complement(w),complement(x))) member(first(f1(cross_product(u,v),intersection(complement(w),complement(x)))),u)*. % 299.97/300.40 32911[0:Res:3835.1,8.0] || -> equal(cross_product(u,v),non_ordered_pair(w,x)) member(first(f1(cross_product(u,v),non_ordered_pair(w,x))),u)* equal(f1(cross_product(u,v),non_ordered_pair(w,x)),x) equal(f1(cross_product(u,v),non_ordered_pair(w,x)),w). % 299.97/300.40 33160[0:Res:3818.2,314.0] || member(second(f1(u,cross_product(v,intersection(complement(w),complement(x))))),union(w,x))* -> equal(u,cross_product(v,intersection(complement(w),complement(x)))) member(f1(u,cross_product(v,intersection(complement(w),complement(x)))),u)*. % 299.97/300.40 33102[0:Res:3818.1,314.0] || member(f1(intersection(complement(u),complement(v)),cross_product(w,x)),union(u,v))* -> equal(intersection(complement(u),complement(v)),cross_product(w,x)) member(second(f1(intersection(complement(u),complement(v)),cross_product(w,x))),x)*. % 299.97/300.40 33082[0:Res:3818.1,8.0] || -> equal(non_ordered_pair(u,v),cross_product(w,x)) member(second(f1(non_ordered_pair(u,v),cross_product(w,x))),x)* equal(f1(non_ordered_pair(u,v),cross_product(w,x)),v) equal(f1(non_ordered_pair(u,v),cross_product(w,x)),u). % 299.97/300.40 33326[0:Res:3817.2,314.0] || member(first(f1(u,cross_product(intersection(complement(v),complement(w)),x))),union(v,w))* -> equal(u,cross_product(intersection(complement(v),complement(w)),x)) member(f1(u,cross_product(intersection(complement(v),complement(w)),x)),u)*. % 299.97/300.40 33268[0:Res:3817.1,314.0] || member(f1(intersection(complement(u),complement(v)),cross_product(w,x)),union(u,v))* -> equal(intersection(complement(u),complement(v)),cross_product(w,x)) member(first(f1(intersection(complement(u),complement(v)),cross_product(w,x))),w)*. % 299.97/300.40 33248[0:Res:3817.1,8.0] || -> equal(non_ordered_pair(u,v),cross_product(w,x)) member(first(f1(non_ordered_pair(u,v),cross_product(w,x))),w)* equal(f1(non_ordered_pair(u,v),cross_product(w,x)),v) equal(f1(non_ordered_pair(u,v),cross_product(w,x)),u). % 299.97/300.40 34353[0:Res:1544.2,1437.0] || member(u,image(v,w)) subset(v,range_of(non_ordered_pair(x,y))) -> equal(f27(first(f22(u,v,w)),non_ordered_pair(x,y)),y)** equal(f27(first(f22(u,v,w)),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34302[0:Res:93.1,1437.0] || member(u,image(v,range_of(non_ordered_pair(w,x)))) -> equal(f27(f22(u,v,range_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f27(f22(u,v,range_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 299.97/300.40 34280[0:Res:118.1,1437.0] || member(u,apply(range_of(non_ordered_pair(v,w)),x)) -> equal(f27(f28(u,range_of(non_ordered_pair(v,w)),x),non_ordered_pair(v,w)),w)** equal(f27(f28(u,range_of(non_ordered_pair(v,w)),x),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34540[0:Res:1544.2,1438.0] || member(u,image(v,w)) subset(v,sigma(non_ordered_pair(x,y))) -> equal(f16(first(f22(u,v,w)),non_ordered_pair(x,y)),y)** equal(f16(first(f22(u,v,w)),non_ordered_pair(x,y)),x)**. % 299.97/300.40 34474[0:Res:93.1,1438.0] || member(u,image(v,sigma(non_ordered_pair(w,x)))) -> equal(f16(f22(u,v,sigma(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f16(f22(u,v,sigma(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 299.97/300.40 34452[0:Res:118.1,1438.0] || member(u,apply(sigma(non_ordered_pair(v,w)),x)) -> equal(f16(f28(u,sigma(non_ordered_pair(v,w)),x),non_ordered_pair(v,w)),w)** equal(f16(f28(u,sigma(non_ordered_pair(v,w)),x),non_ordered_pair(v,w)),v)**. % 299.97/300.40 34690[0:Res:1544.2,1439.0] || member(u,image(v,w)) subset(v,domain_of(non_ordered_pair(x,y))) -> equal(f8(first(f22(u,v,w)),non_ordered_pair(x,y)),y)** equal(f8(first(f22(u,v,w)),non_ordered_pair(x,y)),x)**. % 299.97/300.41 34639[0:Res:93.1,1439.0] || member(u,image(v,domain_of(non_ordered_pair(w,x)))) -> equal(f8(f22(u,v,domain_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f8(f22(u,v,domain_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34617[0:Res:118.1,1439.0] || member(u,apply(domain_of(non_ordered_pair(v,w)),x)) -> equal(f8(f28(u,domain_of(non_ordered_pair(v,w)),x),non_ordered_pair(v,w)),w)** equal(f8(f28(u,domain_of(non_ordered_pair(v,w)),x),non_ordered_pair(v,w)),v)**. % 299.97/300.41 35113[0:Res:1549.1,5025.1] || member(u,image(cross_product(f29(v,w,x),y),z)) member(v,compose(w,x)) equal(x1,v) -> member(first(first(f22(u,cross_product(f29(v,w,x),y),z))),first(x1))*. % 299.97/300.41 35100[0:Res:288.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(intersection(f29(u,v,w),y)) member(ordered_pair(f19(intersection(f29(u,v,w),y)),f20(intersection(f29(u,v,w),y))),first(x))*. % 299.97/300.41 35099[0:Res:287.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(intersection(f29(u,v,w),y)) member(ordered_pair(f19(intersection(f29(u,v,w),y)),f21(intersection(f29(u,v,w),y))),first(x))*. % 299.97/300.41 35094[0:Res:280.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(intersection(y,f29(u,v,w))) member(ordered_pair(f19(intersection(y,f29(u,v,w))),f20(intersection(y,f29(u,v,w)))),first(x))*. % 299.97/300.41 35093[0:Res:279.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(intersection(y,f29(u,v,w))) member(ordered_pair(f19(intersection(y,f29(u,v,w))),f21(intersection(y,f29(u,v,w)))),first(x))*. % 299.97/300.41 35067[0:Res:1550.1,5025.1] || member(u,image(cross_product(v,f29(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(second(first(f22(u,cross_product(v,f29(w,x,y)),z))),first(x1))*. % 299.97/300.41 35283[0:Res:1549.1,5066.1] || member(u,image(cross_product(f30(v,w,x),y),z)) member(v,compose(w,x)) equal(x1,v) -> member(first(first(f22(u,cross_product(f30(v,w,x),y),z))),second(x1))*. % 299.97/300.41 35270[0:Res:288.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(intersection(f30(u,v,w),y)) member(ordered_pair(f19(intersection(f30(u,v,w),y)),f20(intersection(f30(u,v,w),y))),second(x))*. % 299.97/300.41 35269[0:Res:287.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(intersection(f30(u,v,w),y)) member(ordered_pair(f19(intersection(f30(u,v,w),y)),f21(intersection(f30(u,v,w),y))),second(x))*. % 299.97/300.41 35264[0:Res:280.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(intersection(y,f30(u,v,w))) member(ordered_pair(f19(intersection(y,f30(u,v,w))),f20(intersection(y,f30(u,v,w)))),second(x))*. % 299.97/300.41 35263[0:Res:279.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(intersection(y,f30(u,v,w))) member(ordered_pair(f19(intersection(y,f30(u,v,w))),f21(intersection(y,f30(u,v,w)))),second(x))*. % 299.97/300.41 35237[0:Res:1550.1,5066.1] || member(u,image(cross_product(v,f30(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(second(first(f22(u,cross_product(v,f30(w,x,y)),z))),second(x1))*. % 299.97/300.41 35383[0:Res:4273.2,5066.1] || member(u,compose(v,w)) subset(w,f30(x,y,z))* member(x,compose(y,z)) equal(x1,x)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),second(x1))*. % 299.97/300.41 35382[0:Res:4273.2,5025.1] || member(u,compose(v,w)) subset(w,f29(x,y,z))* member(x,compose(y,z)) equal(x1,x)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),first(x1))*. % 299.97/300.41 35396[2:Rew:122.0,35375.2] || member(u,compose(v,w)) subset(w,second(f28(x,y,ordered_pair(f31(u,v,w),f30(u,v,w)))))* member(x,apply_to_two_arguments(y,f31(u,v,w),f30(u,v,w))) -> . % 299.97/300.41 35503[0:Res:4348.2,5066.1] || member(u,compose(v,w)) subset(v,f30(x,y,z))* member(x,compose(y,z)) equal(x1,x)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),second(x1))*. % 299.97/300.41 35502[0:Res:4348.2,5025.1] || member(u,compose(v,w)) subset(v,f29(x,y,z))* member(x,compose(y,z)) equal(x1,x)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),first(x1))*. % 299.97/300.41 35516[2:Rew:122.0,35495.2] || member(u,compose(v,w)) subset(v,second(f28(x,y,ordered_pair(f29(u,v,w),f31(u,v,w)))))* member(x,apply_to_two_arguments(y,f29(u,v,w),f31(u,v,w))) -> . % 299.97/300.41 35586[0:Res:4112.2,1136.2] ordered_pair_predicate(powerset(u)) little_set(v) || member(ordered_pair(second(powerset(u)),first(powerset(u))),sigma(w)) subset(v,u) -> member(v,sigma(converse(f16(ordered_pair(second(powerset(u)),first(powerset(u))),w))))*. % 299.97/300.41 35631[3:SSi:35603.0,5742.0,11.1] little_set(u) || member(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),sigma(x)) equal(u,v) -> member(u,sigma(converse(f16(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),x))))*. % 299.97/300.41 35632[3:SSi:35602.0,5742.0,11.1] little_set(u) || member(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),sigma(x)) equal(u,w) -> member(u,sigma(converse(f16(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),x))))*. % 299.97/300.41 35745[0:Res:4111.2,1136.2] ordered_pair_predicate(powerset(u)) little_set(v) || member(ordered_pair(second(powerset(u)),first(powerset(u))),first(w)) subset(v,u) -> member(v,sigma(converse(f4(ordered_pair(second(powerset(u)),first(powerset(u))),w))))*. % 299.97/300.41 35790[3:SSi:35762.0,5742.0,11.1] little_set(u) || member(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),first(x)) equal(u,v) -> member(u,sigma(converse(f4(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),x))))*. % 299.97/300.41 35791[3:SSi:35761.0,5742.0,11.1] little_set(u) || member(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),first(x)) equal(u,w) -> member(u,sigma(converse(f4(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),x))))*. % 299.97/300.41 35964[0:Res:4110.2,1136.2] ordered_pair_predicate(powerset(u)) little_set(v) || member(ordered_pair(second(powerset(u)),first(powerset(u))),second(w)) subset(v,u) -> member(v,sigma(converse(f7(ordered_pair(second(powerset(u)),first(powerset(u))),w))))*. % 299.97/300.41 36009[3:SSi:35981.0,5742.0,11.1] little_set(u) || member(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),second(x)) equal(u,v) -> member(u,sigma(converse(f7(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),x))))*. % 299.97/300.41 36010[3:SSi:35980.0,5742.0,11.1] little_set(u) || member(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),second(x)) equal(u,w) -> member(u,sigma(converse(f7(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),x))))*. % 299.97/300.41 38407[0:MRR:38406.0,117.1] || member(ordered_pair(second(f28(u,v,w)),w),second(x)) member(u,apply(v,w)) equal(w,y) -> member(u,apply(converse(f7(ordered_pair(second(f28(u,v,w)),w),x)),y))*. % 299.97/300.41 38409[0:MRR:38408.0,117.1] || member(ordered_pair(second(f28(u,v,w)),w),first(x)) member(u,apply(v,w)) equal(w,y) -> member(u,apply(converse(f4(ordered_pair(second(f28(u,v,w)),w),x)),y))*. % 299.97/300.41 38411[0:MRR:38410.0,117.1] || member(ordered_pair(second(f28(u,v,w)),w),sigma(x)) member(u,apply(v,w)) equal(w,y) -> member(u,apply(converse(f16(ordered_pair(second(f28(u,v,w)),w),x)),y))*. % 299.97/300.41 38690[3:MRR:38676.0,38676.2,84.1,83.1] little_set(u) single_valued_set(apply(v,w)) || member(x,v) equal(first(x),w) member(ordered_pair(f19(second(x)),u),apply(v,w))* -> single_valued_set(second(x)) equal(u,f20(second(x))). % 299.97/300.41 38760[3:MRR:38746.0,38746.2,85.1,83.1] little_set(u) single_valued_set(apply(v,w)) || member(x,v) equal(first(x),w) member(ordered_pair(f19(second(x)),u),apply(v,w))* -> single_valued_set(second(x)) equal(u,f21(second(x))). % 299.97/300.41 40277[0:Res:556.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,cross_product(ordered_pair(f10(u,v),f11(u,v)),y)) member(first(f23(x,cross_product(ordered_pair(f10(u,v),f11(u,v)),y))),second(w))*. % 299.97/300.41 40273[0:Res:552.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> subset(cross_product(ordered_pair(f10(u,v),f11(u,v)),x),y) member(first(f17(cross_product(ordered_pair(f10(u,v),f11(u,v)),x),y)),second(w))*. % 299.97/300.41 40272[0:Res:551.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(cross_product(ordered_pair(f10(u,v),f11(u,v)),x),y) member(first(f23(cross_product(ordered_pair(f10(u,v),f11(u,v)),x),y)),second(w))*. % 299.97/300.41 40229[0:Res:543.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(x,cross_product(y,ordered_pair(f10(u,v),f11(u,v)))) member(second(f23(x,cross_product(y,ordered_pair(f10(u,v),f11(u,v))))),second(w))*. % 299.97/300.41 40221[0:Res:539.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> subset(cross_product(x,ordered_pair(f10(u,v),f11(u,v))),y) member(second(f17(cross_product(x,ordered_pair(f10(u,v),f11(u,v))),y)),second(w))*. % 299.97/300.41 40220[0:Res:538.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> disjoint(cross_product(x,ordered_pair(f10(u,v),f11(u,v))),y) member(second(f23(cross_product(x,ordered_pair(f10(u,v),f11(u,v))),y)),second(w))*. % 299.97/300.41 40198[0:Res:94.1,5068.1] || member(u,image(ordered_pair(f10(v,w),f11(v,w)),x)) member(v,rotate_right(w)) equal(y,v) -> member(first(f22(u,ordered_pair(f10(v,w),f11(v,w)),x)),second(y))*. % 299.97/300.41 40457[0:Res:556.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,cross_product(ordered_pair(f13(u,v),f14(u,v)),y)) member(first(f23(x,cross_product(ordered_pair(f13(u,v),f14(u,v)),y))),second(w))*. % 299.97/300.41 40453[0:Res:552.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(cross_product(ordered_pair(f13(u,v),f14(u,v)),x),y) member(first(f17(cross_product(ordered_pair(f13(u,v),f14(u,v)),x),y)),second(w))*. % 299.97/300.41 40452[0:Res:551.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(cross_product(ordered_pair(f13(u,v),f14(u,v)),x),y) member(first(f23(cross_product(ordered_pair(f13(u,v),f14(u,v)),x),y)),second(w))*. % 299.97/300.41 40409[0:Res:543.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(x,cross_product(y,ordered_pair(f13(u,v),f14(u,v)))) member(second(f23(x,cross_product(y,ordered_pair(f13(u,v),f14(u,v))))),second(w))*. % 299.97/300.41 40401[0:Res:539.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> subset(cross_product(x,ordered_pair(f13(u,v),f14(u,v))),y) member(second(f17(cross_product(x,ordered_pair(f13(u,v),f14(u,v))),y)),second(w))*. % 299.97/300.41 40400[0:Res:538.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> disjoint(cross_product(x,ordered_pair(f13(u,v),f14(u,v))),y) member(second(f23(cross_product(x,ordered_pair(f13(u,v),f14(u,v))),y)),second(w))*. % 299.97/300.41 40378[0:Res:94.1,5070.1] || member(u,image(ordered_pair(f13(v,w),f14(v,w)),x)) member(v,flip_range_of(w)) equal(y,v) -> member(first(f22(u,ordered_pair(f13(v,w),f14(v,w)),x)),second(y))*. % 299.97/300.41 40533[3:Res:1079.2,6235.0] little_set(second(f17(u,cross_product(v,singleton_set(w))))) || equal(second(f17(u,cross_product(v,singleton_set(w)))),w) member(first(f17(u,cross_product(v,singleton_set(w)))),v)* -> subset(u,cross_product(v,singleton_set(w))). % 299.97/300.41 40532[3:Res:77.2,6235.0] little_set(second(f17(u,cross_product(v,powerset(w))))) || subset(second(f17(u,cross_product(v,powerset(w)))),w)* member(first(f17(u,cross_product(v,powerset(w)))),v)* -> subset(u,cross_product(v,powerset(w))). % 299.97/300.41 40775[0:Res:1468.2,5065.1] || member(u,image(v,w)) member(f22(u,v,w),converse(f7(x,y)))* member(x,second(y)) equal(z,y)* -> member(ordered_pair(u,first(f22(u,v,w))),second(z))*. % 299.97/300.41 40774[0:Res:1468.2,5064.1] || member(u,image(v,w)) member(f22(u,v,w),converse(f5(x,y)))* member(x,first(y)) equal(z,y)* -> member(ordered_pair(u,first(f22(u,v,w))),second(z))*. % 299.97/300.41 40773[0:Res:1468.2,5024.1] || member(u,image(v,w)) member(f22(u,v,w),converse(f12(x,y)))* member(x,flip_range_of(y)) equal(z,x)* -> member(ordered_pair(u,first(f22(u,v,w))),first(z))*. % 299.97/300.41 40772[0:Res:1468.2,5022.1] || member(u,image(v,w)) member(f22(u,v,w),converse(f9(x,y)))* member(x,rotate_right(y)) equal(z,x)* -> member(ordered_pair(u,first(f22(u,v,w))),first(z))*. % 299.97/300.41 40771[0:Res:1468.2,5020.1] || member(u,image(v,w)) member(f22(u,v,w),converse(f6(x,y)))* member(x,second(y)) equal(z,y)* -> member(ordered_pair(u,first(f22(u,v,w))),first(z))*. % 299.97/300.41 40770[0:Res:1468.2,5019.1] || member(u,image(v,w)) member(f22(u,v,w),converse(f4(x,y)))* member(x,first(y)) equal(z,y)* -> member(ordered_pair(u,first(f22(u,v,w))),first(z))*. % 299.97/300.41 40768[3:Res:1468.2,6192.1] || member(u,image(v,w)) member(f22(u,v,w),converse(second(x)))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(u,first(f22(u,v,w))),apply(y,z))*. % 299.97/300.41 40792[2:Rew:122.0,40769.2] || member(u,image(v,w)) member(f22(u,v,w),converse(second(f28(x,y,ordered_pair(u,first(f22(u,v,w)))))))* member(x,apply_to_two_arguments(y,u,first(f22(u,v,w)))) -> . % 299.97/300.41 40919[0:Res:1464.2,5065.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(f7(x,y)))* member(x,second(y)) equal(z,y)* -> member(ordered_pair(second(f28(u,v,w)),w),second(z))*. % 299.97/300.41 40918[0:Res:1464.2,5064.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(f5(x,y)))* member(x,first(y)) equal(z,y)* -> member(ordered_pair(second(f28(u,v,w)),w),second(z))*. % 299.97/300.41 40917[0:Res:1464.2,5024.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(f12(x,y)))* member(x,flip_range_of(y)) equal(z,x)* -> member(ordered_pair(second(f28(u,v,w)),w),first(z))*. % 299.97/300.41 40916[0:Res:1464.2,5022.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(f9(x,y)))* member(x,rotate_right(y)) equal(z,x)* -> member(ordered_pair(second(f28(u,v,w)),w),first(z))*. % 299.97/300.41 40915[0:Res:1464.2,5020.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(f6(x,y)))* member(x,second(y)) equal(z,y)* -> member(ordered_pair(second(f28(u,v,w)),w),first(z))*. % 299.97/300.41 40914[0:Res:1464.2,5019.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(f4(x,y)))* member(x,first(y)) equal(z,y)* -> member(ordered_pair(second(f28(u,v,w)),w),first(z))*. % 299.97/300.41 40912[3:Res:1464.2,6192.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(second(x)))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(second(f28(u,v,w)),w),apply(y,z))*. % 299.97/300.41 40935[2:Rew:122.0,40913.2] || member(u,apply(v,w)) member(f28(u,v,w),converse(second(f28(x,y,ordered_pair(second(f28(u,v,w)),w)))))* member(x,apply_to_two_arguments(y,second(f28(u,v,w)),w)) -> . % 299.97/300.41 40983[0:Res:33.2,4121.1] || member(ordered_pair(u,first(f22(u,v,w))),x)* member(ordered_pair(u,first(f22(u,v,w))),y)* member(u,image(v,w)) -> member(f22(u,v,w),converse(intersection(y,x)))*. % 299.97/300.41 40982[0:Res:120.1,4121.1] || member(ordered_pair(u,first(f22(u,v,w))),apply(x,y)) member(u,image(v,w)) -> member(f22(u,v,w),converse(second(f28(ordered_pair(u,first(f22(u,v,w))),x,y))))*. % 299.97/300.41 41080[0:Res:33.2,4122.1] || member(ordered_pair(second(f28(u,v,w)),w),x)* member(ordered_pair(second(f28(u,v,w)),w),y)* member(u,apply(v,w)) -> member(f28(u,v,w),converse(intersection(y,x)))*. % 299.97/300.41 41079[0:Res:120.1,4122.1] || member(ordered_pair(second(f28(u,v,w)),w),apply(x,y)) member(u,apply(v,w)) -> member(f28(u,v,w),converse(second(f28(ordered_pair(second(f28(u,v,w)),w),x,y))))*. % 299.97/300.41 41252[0:Res:4286.1,1354.0] || member(u,compose(v,intersection(w,image(x,cross_product(y,z))))) -> member(ordered_pair(f31(u,v,intersection(w,image(x,cross_product(y,z)))),f30(u,v,intersection(w,image(x,cross_product(y,z))))),z)*. % 299.97/300.41 41491[0:Res:4285.1,1354.0] || member(u,compose(v,intersection(image(w,cross_product(x,y)),z))) -> member(ordered_pair(f31(u,v,intersection(image(w,cross_product(x,y)),z)),f30(u,v,intersection(image(w,cross_product(x,y)),z))),y)*. % 299.97/300.41 41629[0:Res:4361.1,1354.0] || member(u,compose(intersection(v,image(w,cross_product(x,y))),z)) -> member(ordered_pair(f29(u,intersection(v,image(w,cross_product(x,y))),z),f31(u,intersection(v,image(w,cross_product(x,y))),z)),y)*. % 299.97/300.41 41751[0:Res:4360.1,1354.0] || member(u,compose(intersection(image(v,cross_product(w,x)),y),z)) -> member(ordered_pair(f29(u,intersection(image(v,cross_product(w,x)),y),z),f31(u,intersection(image(v,cross_product(w,x)),y),z)),x)*. % 299.97/300.41 41959[3:SpL:95.1,6212.0] || member(u,image(v,w)) member(x,converse(u))* member(f22(u,v,w),y)* equal(first(f22(u,v,w)),z)* -> member(ordered_pair(second(x),first(x)),apply(y,z))*. % 299.97/300.41 42188[0:Res:3651.2,4927.2] little_set(u) || member(f28(v,w,x),cross_product(y,universal_set))* member(f28(v,w,x),z)* member(v,apply(w,x)) equal(u,x)* -> member(u,domain_of(restrict(z,y)))*. % 299.97/300.41 42264[0:Res:3651.2,4973.2] little_set(u) || member(f22(v,w,x),cross_product(y,universal_set))* member(f22(v,w,x),z)* member(v,image(w,x)) equal(u,v)* -> member(u,range_of(restrict(z,y)))*. % 299.97/300.41 42399[0:Res:4279.1,5063.1] ordered_pair_predicate(u) || member(v,compose(w,cross_product(x,f3(u)))) equal(y,u) -> member(second(ordered_pair(f31(v,w,cross_product(x,f3(u))),f30(v,w,cross_product(x,f3(u))))),second(y))*. % 299.97/300.41 42398[0:Res:4279.1,5018.1] ordered_pair_predicate(u) || member(v,compose(w,cross_product(x,f2(u)))) equal(y,u) -> member(second(ordered_pair(f31(v,w,cross_product(x,f2(u))),f30(v,w,cross_product(x,f2(u))))),first(y))*. % 299.97/300.41 42510[0:Res:4278.1,5063.1] ordered_pair_predicate(u) || member(v,compose(w,cross_product(f3(u),x))) equal(y,u) -> member(first(ordered_pair(f31(v,w,cross_product(f3(u),x)),f30(v,w,cross_product(f3(u),x)))),second(y))*. % 299.97/300.41 42509[0:Res:4278.1,5018.1] ordered_pair_predicate(u) || member(v,compose(w,cross_product(f2(u),x))) equal(y,u) -> member(first(ordered_pair(f31(v,w,cross_product(f2(u),x)),f30(v,w,cross_product(f2(u),x)))),first(y))*. % 299.97/300.41 42657[0:Res:4354.1,5063.1] ordered_pair_predicate(u) || member(v,compose(cross_product(w,f3(u)),x)) equal(y,u) -> member(second(ordered_pair(f29(v,cross_product(w,f3(u)),x),f31(v,cross_product(w,f3(u)),x))),second(y))*. % 299.97/300.41 42656[0:Res:4354.1,5018.1] ordered_pair_predicate(u) || member(v,compose(cross_product(w,f2(u)),x)) equal(y,u) -> member(second(ordered_pair(f29(v,cross_product(w,f2(u)),x),f31(v,cross_product(w,f2(u)),x))),first(y))*. % 299.97/300.41 42799[0:Res:4353.1,5063.1] ordered_pair_predicate(u) || member(v,compose(cross_product(f3(u),w),x)) equal(y,u) -> member(first(ordered_pair(f29(v,cross_product(f3(u),w),x),f31(v,cross_product(f3(u),w),x))),second(y))*. % 299.97/300.41 42798[0:Res:4353.1,5018.1] ordered_pair_predicate(u) || member(v,compose(cross_product(f2(u),w),x)) equal(y,u) -> member(first(ordered_pair(f29(v,cross_product(f2(u),w),x),f31(v,cross_product(f2(u),w),x))),first(y))*. % 299.97/300.41 42887[0:Res:100.1,1442.0] || -> disjoint(u,apply(non_ordered_pair(v,w),x)) equal(f28(f23(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),w)** equal(f28(f23(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 42857[0:Res:99.1,1442.0] || -> disjoint(apply(non_ordered_pair(u,v),w),x) equal(f28(f23(apply(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w),v)** equal(f28(f23(apply(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w),u)**. % 299.97/300.41 42855[0:Res:71.1,1442.0] || -> subset(apply(non_ordered_pair(u,v),w),x) equal(f28(f17(apply(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w),v)** equal(f28(f17(apply(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w),u)**. % 299.97/300.41 43064[0:Res:100.1,1443.0] || -> disjoint(u,image(v,non_ordered_pair(w,x))) equal(f22(f23(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),x)** equal(f22(f23(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),w)**. % 299.97/300.41 43034[0:Res:99.1,1443.0] || -> disjoint(image(u,non_ordered_pair(v,w)),x) equal(f22(f23(image(u,non_ordered_pair(v,w)),x),u,non_ordered_pair(v,w)),w)** equal(f22(f23(image(u,non_ordered_pair(v,w)),x),u,non_ordered_pair(v,w)),v)**. % 299.97/300.41 43032[0:Res:71.1,1443.0] || -> subset(image(u,non_ordered_pair(v,w)),x) equal(f22(f17(image(u,non_ordered_pair(v,w)),x),u,non_ordered_pair(v,w)),w)** equal(f22(f17(image(u,non_ordered_pair(v,w)),x),u,non_ordered_pair(v,w)),v)**. % 299.97/300.41 43272[0:Res:33.2,4109.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),v)* member(ordered_pair(second(u),first(u)),w)* member(ordered_pair(second(u),first(u)),x)* -> member(u,converse(intersection(x,intersection(w,v))))*. % 299.97/300.41 43271[0:Res:120.1,4109.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),apply(v,w)) member(ordered_pair(second(u),first(u)),x) -> member(u,converse(intersection(x,second(f28(ordered_pair(second(u),first(u)),v,w)))))*. % 299.97/300.41 43377[0:Res:4108.2,20289.0] ordered_pair_predicate(set_a) || member(ordered_pair(second(set_a),first(set_a)),apply(u,v)) disjoint(converse(second(f28(ordered_pair(second(set_a),first(set_a)),u,v))),converse(second(f28(ordered_pair(second(set_a),first(set_a)),u,v))))* -> . % 299.97/300.41 43375[0:Res:4108.2,20288.0] ordered_pair_predicate(set_b) || member(ordered_pair(second(set_b),first(set_b)),apply(u,v)) disjoint(converse(second(f28(ordered_pair(second(set_b),first(set_b)),u,v))),converse(second(f28(ordered_pair(second(set_b),first(set_b)),u,v))))* -> . % 299.97/300.41 43839[3:Rew:95.1,43813.1] || member(u,image(v,w)) member(x,image(y,u)) member(f22(u,v,w),z)* equal(first(f22(u,v,w)),x1)* -> member(f22(x,y,u),apply(z,x1))*. % 299.97/300.41 43901[3:Rew:95.1,43873.1] || member(u,image(v,w)) member(x,apply(u,y)) member(f22(u,v,w),z)* equal(first(f22(u,v,w)),x1)* -> member(f28(x,u,y),apply(z,x1))*. % 299.97/300.41 44307[0:Res:4635.1,43.0] || member(u,flip_range_of(intersection(v,cross_product(w,x)))) -> member(second(ordered_pair(f12(u,intersection(v,cross_product(w,x))),ordered_pair(f14(u,intersection(v,cross_product(w,x))),f13(u,intersection(v,cross_product(w,x)))))),x)*. % 299.97/300.41 44306[0:Res:4635.1,42.0] || member(u,flip_range_of(intersection(v,cross_product(w,x)))) -> member(first(ordered_pair(f12(u,intersection(v,cross_product(w,x))),ordered_pair(f14(u,intersection(v,cross_product(w,x))),f13(u,intersection(v,cross_product(w,x)))))),w)*. % 299.97/300.41 44562[0:Res:4634.1,43.0] || member(u,flip_range_of(intersection(cross_product(v,w),x))) -> member(second(ordered_pair(f12(u,intersection(cross_product(v,w),x)),ordered_pair(f14(u,intersection(cross_product(v,w),x)),f13(u,intersection(cross_product(v,w),x))))),w)*. % 299.97/300.41 44561[0:Res:4634.1,42.0] || member(u,flip_range_of(intersection(cross_product(v,w),x))) -> member(first(ordered_pair(f12(u,intersection(cross_product(v,w),x)),ordered_pair(f14(u,intersection(cross_product(v,w),x)),f13(u,intersection(cross_product(v,w),x))))),v)*. % 299.97/300.41 45081[0:Res:4783.1,43.0] || member(u,rotate_right(intersection(v,cross_product(w,x)))) -> member(second(ordered_pair(f10(u,intersection(v,cross_product(w,x))),ordered_pair(f11(u,intersection(v,cross_product(w,x))),f9(u,intersection(v,cross_product(w,x)))))),x)*. % 299.97/300.41 45080[0:Res:4783.1,42.0] || member(u,rotate_right(intersection(v,cross_product(w,x)))) -> member(first(ordered_pair(f10(u,intersection(v,cross_product(w,x))),ordered_pair(f11(u,intersection(v,cross_product(w,x))),f9(u,intersection(v,cross_product(w,x)))))),w)*. % 299.97/300.41 46208[0:Res:4782.1,43.0] || member(u,rotate_right(intersection(cross_product(v,w),x))) -> member(second(ordered_pair(f10(u,intersection(cross_product(v,w),x)),ordered_pair(f11(u,intersection(cross_product(v,w),x)),f9(u,intersection(cross_product(v,w),x))))),w)*. % 299.97/300.41 46207[0:Res:4782.1,42.0] || member(u,rotate_right(intersection(cross_product(v,w),x))) -> member(first(ordered_pair(f10(u,intersection(cross_product(v,w),x)),ordered_pair(f11(u,intersection(cross_product(v,w),x)),f9(u,intersection(cross_product(v,w),x))))),v)*. % 299.97/300.41 47274[0:Res:46.1,1558.0] || member(u,converse(image(non_ordered_pair(v,w),x))) -> equal(first(f22(ordered_pair(second(u),first(u)),non_ordered_pair(v,w),x)),w)** equal(first(f22(ordered_pair(second(u),first(u)),non_ordered_pair(v,w),x)),v)**. % 299.97/300.41 47265[0:Res:963.2,1558.0] || member(u,range_of(v)) subset(v,image(non_ordered_pair(w,x),y)) -> equal(first(f22(f27(u,v),non_ordered_pair(w,x),y)),x)** equal(first(f22(f27(u,v),non_ordered_pair(w,x),y)),w)**. % 299.97/300.41 47263[0:Res:964.2,1558.0] || member(u,sigma(v)) subset(v,image(non_ordered_pair(w,x),y)) -> equal(first(f22(f16(u,v),non_ordered_pair(w,x),y)),x)** equal(first(f22(f16(u,v),non_ordered_pair(w,x),y)),w)**. % 299.97/300.41 47261[0:Res:965.2,1558.0] || member(u,domain_of(v)) subset(v,image(non_ordered_pair(w,x),y)) -> equal(first(f22(f8(u,v),non_ordered_pair(w,x),y)),x)** equal(first(f22(f8(u,v),non_ordered_pair(w,x),y)),w)**. % 299.97/300.41 55730[16:Rew:54986.0,49785.2] || member(u,v) equal(first(u),w) -> equal(second(u),a) equal(x,f24(second(u))) member(f1(x,f24(second(u))),x)* member(f1(x,f24(second(u))),sigma(apply(v,w)))*. % 299.97/300.41 55731[16:Rew:54986.0,49784.2] || member(u,v) equal(first(u),w) -> equal(second(u),a) equal(f24(second(u)),x) member(f1(f24(second(u)),x),x)* member(f1(f24(second(u)),x),sigma(apply(v,w)))*. % 299.97/300.41 55732[16:Rew:54986.0,49775.2] || member(u,non_ordered_pair(v,w)) equal(first(u),x) -> equal(second(u),a) equal(f28(f24(second(u)),non_ordered_pair(v,w),x),w)** equal(f28(f24(second(u)),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 59794[16:Rew:54986.0,58750.2,54986.0,58750.1] || -> equal(apply(non_ordered_pair(u,v),w),a) equal(f28(f1(a,apply(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w),v)** equal(f28(f1(a,apply(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w),u)**. % 299.97/300.41 59795[16:Rew:54986.0,58751.2,54986.0,58751.1] || -> equal(apply(non_ordered_pair(u,v),w),a) equal(f28(f1(apply(non_ordered_pair(u,v),w),a),non_ordered_pair(u,v),w),v)** equal(f28(f1(apply(non_ordered_pair(u,v),w),a),non_ordered_pair(u,v),w),u)**. % 299.97/300.41 59796[16:Rew:54986.0,58754.2,54986.0,58754.1] || -> equal(image(u,non_ordered_pair(v,w)),a) equal(f22(f1(a,image(u,non_ordered_pair(v,w))),u,non_ordered_pair(v,w)),w)** equal(f22(f1(a,image(u,non_ordered_pair(v,w))),u,non_ordered_pair(v,w)),v)**. % 299.97/300.41 59797[16:Rew:54986.0,58755.2,54986.0,58755.1] || -> equal(image(u,non_ordered_pair(v,w)),a) equal(f22(f1(image(u,non_ordered_pair(v,w)),a),u,non_ordered_pair(v,w)),w)** equal(f22(f1(image(u,non_ordered_pair(v,w)),a),u,non_ordered_pair(v,w)),v)**. % 299.97/300.41 58769[16:Rew:54986.0,51518.2] || member(u,v) equal(first(u),w) -> equal(intersection(x,converse(second(u))),a) member(ordered_pair(second(f24(intersection(x,converse(second(u))))),first(f24(intersection(x,converse(second(u)))))),apply(v,w))*. % 299.97/300.41 58770[16:Rew:54986.0,51519.2] || member(u,v) equal(first(u),w) -> equal(intersection(converse(second(u)),x),a) member(ordered_pair(second(f24(intersection(converse(second(u)),x))),first(f24(intersection(converse(second(u)),x)))),apply(v,w))*. % 299.97/300.41 58771[16:Rew:54986.0,51614.3] || member(u,f25) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v)** equal(f19(non_ordered_pair(u,v)),a) equal(f26(f19(non_ordered_pair(u,v))),f21(non_ordered_pair(u,v))). % 299.97/300.41 58772[16:Rew:54986.0,51613.3] || member(u,f25) -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v)** equal(f19(non_ordered_pair(u,v)),a) equal(f26(f19(non_ordered_pair(u,v))),f20(non_ordered_pair(u,v))). % 299.97/300.41 58773[16:Rew:54986.0,51616.3] || member(u,f25) -> single_valued_set(non_ordered_pair(v,u)) equal(ordered_pair(f19(non_ordered_pair(v,u)),f21(non_ordered_pair(v,u))),v)** equal(f19(non_ordered_pair(v,u)),a) equal(f26(f19(non_ordered_pair(v,u))),f21(non_ordered_pair(v,u))). % 299.97/300.41 58774[16:Rew:54986.0,51615.3] || member(u,f25) -> single_valued_set(non_ordered_pair(v,u)) equal(ordered_pair(f19(non_ordered_pair(v,u)),f20(non_ordered_pair(v,u))),v)** equal(f19(non_ordered_pair(v,u)),a) equal(f26(f19(non_ordered_pair(v,u))),f20(non_ordered_pair(v,u))). % 299.97/300.41 58778[16:Rew:54986.0,51631.0] || -> equal(image(non_ordered_pair(u,v),w),a) equal(first(f22(f24(image(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f24(image(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w)),u)**. % 299.97/300.41 58779[16:Rew:54986.0,51661.4] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) equal(f32(y,w,x,u,v),a) ordered_pair_predicate(f26(f32(y,w,x,u,v)))*. % 299.97/300.41 58780[16:Rew:54986.0,51662.4] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) equal(f33(y,w,x,u,v),a) ordered_pair_predicate(f26(f33(y,w,x,u,v)))*. % 299.97/300.41 64073[3:Res:67.1,18198.1] ordered_pair_predicate(u) || member(second(ordered_pair(second(u),first(u))),sigma(v)) member(first(ordered_pair(second(u),first(u))),w) -> member(u,converse(cross_product(w,f16(second(ordered_pair(second(u),first(u))),v))))*. % 299.97/300.41 64072[3:Res:21.1,18198.1] ordered_pair_predicate(u) || member(second(ordered_pair(second(u),first(u))),first(v)) member(first(ordered_pair(second(u),first(u))),w) -> member(u,converse(cross_product(w,f4(second(ordered_pair(second(u),first(u))),v))))*. % 299.97/300.41 64071[3:Res:26.1,18198.1] ordered_pair_predicate(u) || member(second(ordered_pair(second(u),first(u))),second(v)) member(first(ordered_pair(second(u),first(u))),w) -> member(u,converse(cross_product(w,f7(second(ordered_pair(second(u),first(u))),v))))*. % 299.97/300.41 64066[3:Res:35.2,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || member(first(ordered_pair(second(u),first(u))),v)* -> member(second(ordered_pair(second(u),first(u))),w)* member(u,converse(cross_product(v,complement(w))))*. % 299.97/300.41 64286[0:Res:4628.1,282.0] || member(u,flip_range_of(cross_product(v,restrict(w,x)))) -> member(second(ordered_pair(f12(u,cross_product(v,restrict(w,x))),ordered_pair(f14(u,cross_product(v,restrict(w,x))),f13(u,cross_product(v,restrict(w,x)))))),w)*. % 299.97/300.41 64284[0:Res:4628.1,15955.0] || member(u,flip_range_of(cross_product(v,sigma(powerset(w))))) -> member(second(ordered_pair(f12(u,cross_product(v,sigma(powerset(w)))),ordered_pair(f14(u,cross_product(v,sigma(powerset(w)))),f13(u,cross_product(v,sigma(powerset(w))))))),w)*. % 299.97/300.41 64281[0:Res:4628.1,32.0] || member(u,flip_range_of(cross_product(v,intersection(w,x)))) -> member(second(ordered_pair(f12(u,cross_product(v,intersection(w,x))),ordered_pair(f14(u,cross_product(v,intersection(w,x))),f13(u,cross_product(v,intersection(w,x)))))),x)*. % 299.97/300.41 64280[0:Res:4628.1,31.0] || member(u,flip_range_of(cross_product(v,intersection(w,x)))) -> member(second(ordered_pair(f12(u,cross_product(v,intersection(w,x))),ordered_pair(f14(u,cross_product(v,intersection(w,x))),f13(u,cross_product(v,intersection(w,x)))))),w)*. % 299.97/300.41 64273[0:Res:4628.1,10964.0] || member(u,flip_range_of(cross_product(v,complement(complement(w))))) -> member(second(ordered_pair(f12(u,cross_product(v,complement(complement(w)))),ordered_pair(f14(u,cross_product(v,complement(complement(w)))),f13(u,cross_product(v,complement(complement(w))))))),w)*. % 299.97/300.41 64393[0:Res:4627.1,282.0] || member(u,flip_range_of(cross_product(restrict(v,w),x))) -> member(first(ordered_pair(f12(u,cross_product(restrict(v,w),x)),ordered_pair(f14(u,cross_product(restrict(v,w),x)),f13(u,cross_product(restrict(v,w),x))))),v)*. % 299.97/300.41 64391[0:Res:4627.1,15955.0] || member(u,flip_range_of(cross_product(sigma(powerset(v)),w))) -> member(first(ordered_pair(f12(u,cross_product(sigma(powerset(v)),w)),ordered_pair(f14(u,cross_product(sigma(powerset(v)),w)),f13(u,cross_product(sigma(powerset(v)),w))))),v)*. % 299.97/300.41 64388[0:Res:4627.1,32.0] || member(u,flip_range_of(cross_product(intersection(v,w),x))) -> member(first(ordered_pair(f12(u,cross_product(intersection(v,w),x)),ordered_pair(f14(u,cross_product(intersection(v,w),x)),f13(u,cross_product(intersection(v,w),x))))),w)*. % 299.97/300.41 64387[0:Res:4627.1,31.0] || member(u,flip_range_of(cross_product(intersection(v,w),x))) -> member(first(ordered_pair(f12(u,cross_product(intersection(v,w),x)),ordered_pair(f14(u,cross_product(intersection(v,w),x)),f13(u,cross_product(intersection(v,w),x))))),v)*. % 299.97/300.41 64380[0:Res:4627.1,10964.0] || member(u,flip_range_of(cross_product(complement(complement(v)),w))) -> member(first(ordered_pair(f12(u,cross_product(complement(complement(v)),w)),ordered_pair(f14(u,cross_product(complement(complement(v)),w)),f13(u,cross_product(complement(complement(v)),w))))),v)*. % 299.97/300.41 64542[0:Res:4776.1,282.0] || member(u,rotate_right(cross_product(v,restrict(w,x)))) -> member(second(ordered_pair(f10(u,cross_product(v,restrict(w,x))),ordered_pair(f11(u,cross_product(v,restrict(w,x))),f9(u,cross_product(v,restrict(w,x)))))),w)*. % 299.97/300.41 64540[0:Res:4776.1,15955.0] || member(u,rotate_right(cross_product(v,sigma(powerset(w))))) -> member(second(ordered_pair(f10(u,cross_product(v,sigma(powerset(w)))),ordered_pair(f11(u,cross_product(v,sigma(powerset(w)))),f9(u,cross_product(v,sigma(powerset(w))))))),w)*. % 299.97/300.41 64537[0:Res:4776.1,32.0] || member(u,rotate_right(cross_product(v,intersection(w,x)))) -> member(second(ordered_pair(f10(u,cross_product(v,intersection(w,x))),ordered_pair(f11(u,cross_product(v,intersection(w,x))),f9(u,cross_product(v,intersection(w,x)))))),x)*. % 299.97/300.41 64536[0:Res:4776.1,31.0] || member(u,rotate_right(cross_product(v,intersection(w,x)))) -> member(second(ordered_pair(f10(u,cross_product(v,intersection(w,x))),ordered_pair(f11(u,cross_product(v,intersection(w,x))),f9(u,cross_product(v,intersection(w,x)))))),w)*. % 299.97/300.41 64529[0:Res:4776.1,10964.0] || member(u,rotate_right(cross_product(v,complement(complement(w))))) -> member(second(ordered_pair(f10(u,cross_product(v,complement(complement(w)))),ordered_pair(f11(u,cross_product(v,complement(complement(w)))),f9(u,cross_product(v,complement(complement(w))))))),w)*. % 299.97/300.41 64652[0:Res:4775.1,282.0] || member(u,rotate_right(cross_product(restrict(v,w),x))) -> member(first(ordered_pair(f10(u,cross_product(restrict(v,w),x)),ordered_pair(f11(u,cross_product(restrict(v,w),x)),f9(u,cross_product(restrict(v,w),x))))),v)*. % 299.97/300.41 64650[0:Res:4775.1,15955.0] || member(u,rotate_right(cross_product(sigma(powerset(v)),w))) -> member(first(ordered_pair(f10(u,cross_product(sigma(powerset(v)),w)),ordered_pair(f11(u,cross_product(sigma(powerset(v)),w)),f9(u,cross_product(sigma(powerset(v)),w))))),v)*. % 299.97/300.41 64647[0:Res:4775.1,32.0] || member(u,rotate_right(cross_product(intersection(v,w),x))) -> member(first(ordered_pair(f10(u,cross_product(intersection(v,w),x)),ordered_pair(f11(u,cross_product(intersection(v,w),x)),f9(u,cross_product(intersection(v,w),x))))),w)*. % 299.97/300.41 64646[0:Res:4775.1,31.0] || member(u,rotate_right(cross_product(intersection(v,w),x))) -> member(first(ordered_pair(f10(u,cross_product(intersection(v,w),x)),ordered_pair(f11(u,cross_product(intersection(v,w),x)),f9(u,cross_product(intersection(v,w),x))))),v)*. % 299.97/300.41 64639[0:Res:4775.1,10964.0] || member(u,rotate_right(cross_product(complement(complement(v)),w))) -> member(first(ordered_pair(f10(u,cross_product(complement(complement(v)),w)),ordered_pair(f11(u,cross_product(complement(complement(v)),w)),f9(u,cross_product(complement(complement(v)),w))))),v)*. % 299.97/300.41 65368[0:SSi:65336.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f31(x,y,non_ordered_pair(v,w)),u),w)** member(x,compose(y,non_ordered_pair(v,w))) -> equal(u,f30(x,y,non_ordered_pair(v,w))). % 299.97/300.41 65369[0:SSi:65335.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f31(x,y,non_ordered_pair(v,w)),u),v)** member(x,compose(y,non_ordered_pair(v,w))) -> equal(u,f30(x,y,non_ordered_pair(v,w))). % 299.97/300.41 65585[0:SSi:65551.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f29(x,non_ordered_pair(v,w),y),u),w)** member(x,compose(non_ordered_pair(v,w),y)) -> equal(u,f31(x,non_ordered_pair(v,w),y)). % 299.97/300.41 65586[0:SSi:65550.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f29(x,non_ordered_pair(v,w),y),u),v)** member(x,compose(non_ordered_pair(v,w),y)) -> equal(u,f31(x,non_ordered_pair(v,w),y)). % 299.97/300.41 65883[16:MRR:65870.0,18.1] little_set(f26(f4(u,v))) single_valued_set(w) || subset(f25,w)* member(u,first(v)) member(v,w)* -> equal(f4(u,v),a) equal(f26(f4(u,v)),f5(u,v))**. % 299.97/300.41 66004[16:MRR:65991.0,23.1] little_set(f26(f6(u,v))) single_valued_set(w) || subset(f25,w)* member(u,second(v)) member(v,w)* -> equal(f6(u,v),a) equal(f26(f6(u,v)),f7(u,v))**. % 299.97/300.41 66098[16:MRR:66090.0,49.1] little_set(f26(f10(u,v))) single_valued_set(v) || subset(f25,v) member(u,rotate_right(v)) -> equal(f10(u,v),a) equal(ordered_pair(f11(u,v),f9(u,v)),f26(f10(u,v)))**. % 299.97/300.41 66194[16:MRR:66186.0,54.1] little_set(f26(f12(u,v))) single_valued_set(v) || subset(f25,v) member(u,flip_range_of(v)) -> equal(f12(u,v),a) equal(ordered_pair(f14(u,v),f13(u,v)),f26(f12(u,v)))**. % 299.97/300.41 66923[3:Res:67.1,8204.3] little_set(u) little_set(v) || member(ordered_pair(u,f3(w)),sigma(x)) equal(v,w) member(ordered_pair(f2(w),u),y) -> member(v,compose(y,f16(ordered_pair(u,f3(w)),x)))*. % 299.97/300.41 66922[3:Res:21.1,8204.3] little_set(u) little_set(v) || member(ordered_pair(u,f3(w)),first(x)) equal(v,w) member(ordered_pair(f2(w),u),y) -> member(v,compose(y,f4(ordered_pair(u,f3(w)),x)))*. % 299.97/300.41 66921[3:Res:26.1,8204.3] little_set(u) little_set(v) || member(ordered_pair(u,f3(w)),second(x)) equal(v,w) member(ordered_pair(f2(w),u),y) -> member(v,compose(y,f7(ordered_pair(u,f3(w)),x)))*. % 299.97/300.41 67227[0:SSi:67195.0,371.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,v)* -> member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),union(x,y))* member(u,rotate_right(intersection(complement(x),complement(y))))*. % 299.97/300.41 67304[0:SSi:67282.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* -> member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),union(x,y))* member(u,rotate_right(intersection(complement(x),complement(y))))*. % 299.97/300.41 67370[0:SSi:67347.0,371.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,v)* -> member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),union(x,y))* member(u,flip_range_of(intersection(complement(x),complement(y))))*. % 299.97/300.41 67440[0:SSi:67407.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,v)* -> member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),union(x,y))* member(u,flip_range_of(intersection(complement(x),complement(y))))*. % 299.97/300.41 67672[3:Res:6219.3,70.0] || member(u,compose(v,second(w))) member(w,x)* equal(first(w),y)* subset(apply(x,y),z)* -> member(ordered_pair(f31(u,v,second(w)),f30(u,v,second(w))),z)*. % 299.97/300.41 67730[3:Res:6220.3,70.0] || member(u,compose(second(v),w)) member(v,x)* equal(first(v),y)* subset(apply(x,y),z)* -> member(ordered_pair(f29(u,second(v),w),f31(u,second(v),w)),z)*. % 299.97/300.41 67784[16:Res:58833.1,6233.0] || equal(second(f1(u,cross_product(v,singleton_set(a)))),a) member(first(f1(u,cross_product(v,singleton_set(a)))),v)* member(f1(u,cross_product(v,singleton_set(a))),u)* -> equal(u,cross_product(v,singleton_set(a))). % 299.97/300.41 67896[0:SSi:67847.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f29(x,y,z),u),w)* member(x,compose(y,z)) member(x,non_ordered_pair(v,w))* -> equal(u,f30(x,y,z)). % 299.97/300.41 67897[0:SSi:67846.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f29(x,y,z),u),v)* member(x,compose(y,z)) member(x,non_ordered_pair(v,w))* -> equal(u,f30(x,y,z)). % 299.97/300.41 68134[0:Res:5257.5,1354.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(z,cross_product(x1,x2)))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),x2)*. % 299.97/300.41 68129[0:Res:5257.5,274.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,restrict(z,x1))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),cross_product(x1,universal_set))*. % 299.97/300.41 68100[0:Res:5257.5,4578.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,rotate_right(z))* equal(x1,f33(y,w,x,u,v))* -> homomorphism(y,w,x,u,v) ordered_pair_predicate(x1)*. % 299.97/300.41 68098[0:Res:5257.5,4549.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,flip_range_of(z))* equal(x1,f33(y,w,x,u,v))* -> homomorphism(y,w,x,u,v) ordered_pair_predicate(x1)*. % 299.97/300.41 68092[0:Res:5257.5,70.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z)* subset(z,x1)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),x1)*. % 299.97/300.41 68237[0:Res:5302.5,1354.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(z,cross_product(x1,x2)))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),x2)*. % 299.97/300.41 68232[0:Res:5302.5,274.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,restrict(z,x1))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),cross_product(x1,universal_set))*. % 299.97/300.41 68203[0:Res:5302.5,4578.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,rotate_right(z))* equal(x1,f32(y,w,x,u,v))* -> homomorphism(y,w,x,u,v) ordered_pair_predicate(x1)*. % 299.97/300.41 68201[0:Res:5302.5,4549.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,flip_range_of(z))* equal(x1,f32(y,w,x,u,v))* -> homomorphism(y,w,x,u,v) ordered_pair_predicate(x1)*. % 299.97/300.41 68195[0:Res:5302.5,70.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z)* subset(z,x1)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),x1)*. % 299.97/300.41 69181[0:MRR:69167.0,5259.4] || equal(f33(u,v,w,x,y),singleton_set(z))* closed(x,y) closed(v,w) maps(u,v,x) disjoint(ordered_pair(z,x1),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.41 69418[0:MRR:69405.0,5304.4] || equal(f32(u,v,w,x,y),singleton_set(z))* closed(x,y) closed(v,w) maps(u,v,x) disjoint(ordered_pair(z,x1),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.41 70193[0:SSi:70161.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(non_ordered_pair(z,y)))*. % 299.97/300.41 70194[0:SSi:70160.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(non_ordered_pair(y,z)))*. % 299.97/300.41 70271[0:SSi:70239.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(non_ordered_pair(z,y)))*. % 299.97/300.41 70272[0:SSi:70238.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(non_ordered_pair(y,z)))*. % 299.97/300.41 70347[0:SSi:70311.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(non_ordered_pair(z,y)))*. % 299.97/300.41 70348[0:SSi:70310.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(non_ordered_pair(y,z)))*. % 299.97/300.41 70418[0:SSi:70382.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(non_ordered_pair(z,y)))*. % 299.97/300.41 70419[0:SSi:70381.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(non_ordered_pair(y,z)))*. % 299.97/300.41 70490[0:MRR:70448.0,1545.1] little_set(u) || equal(first(f22(v,w,x)),y)* member(v,image(w,x)) member(f22(v,w,x),z)* equal(v,u)* -> member(u,image(non_ordered_pair(x1,y),z))*. % 299.97/300.41 70491[0:MRR:70447.0,1545.1] little_set(u) || equal(first(f22(v,w,x)),y)* member(v,image(w,x)) member(f22(v,w,x),z)* equal(v,u)* -> member(u,image(non_ordered_pair(y,x1),z))*. % 299.97/300.41 71365[0:Res:5263.4,4.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) little_set(second(f33(z,cross_product(w,x),y,u,v)))*. % 299.97/300.41 71360[3:Res:5263.4,6160.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) ordered_pair_predicate(second(f33(z,cross_product(w,x),y,u,v)))*. % 299.97/300.41 71470[0:Res:5262.4,4.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) little_set(first(f33(z,cross_product(w,x),y,u,v)))*. % 299.97/300.41 71465[3:Res:5262.4,6160.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) ordered_pair_predicate(first(f33(z,cross_product(w,x),y,u,v)))*. % 299.97/300.41 71616[0:Res:5308.4,4.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) little_set(second(f32(z,cross_product(w,x),y,u,v)))*. % 299.97/300.41 71611[3:Res:5308.4,6160.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) ordered_pair_predicate(second(f32(z,cross_product(w,x),y,u,v)))*. % 299.97/300.41 71825[16:Res:56196.1,5163.4] little_set(u) || equal(first(f22(v,w,x)),a) member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(u,image(ordered_pair(universal_set,z),y))*. % 299.97/300.41 71819[16:Res:56196.1,6055.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(ordered_pair(universal_set,y)))*. % 299.97/300.41 71818[16:Res:56196.1,6054.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(ordered_pair(universal_set,y)))*. % 299.97/300.41 71817[16:Res:56196.1,5360.4] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),a)** member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(ordered_pair(universal_set,y)))*. % 299.97/300.41 71816[16:Res:56196.1,5359.4] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),a)** member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(ordered_pair(universal_set,y)))*. % 299.97/300.41 71771[16:Res:56196.1,5233.4] little_set(u) single_valued_set(ordered_pair(universal_set,v)) || equal(ordered_pair(f29(w,x,y),u),a)** member(w,compose(x,y)) member(w,ordered_pair(universal_set,v))* -> equal(u,f30(w,x,y)). % 299.97/300.41 71770[16:Res:56196.1,5228.3] little_set(u) single_valued_set(ordered_pair(universal_set,v)) || equal(ordered_pair(f29(w,ordered_pair(universal_set,v),x),u),a)** member(w,compose(ordered_pair(universal_set,v),x)) -> equal(u,f31(w,ordered_pair(universal_set,v),x)). % 299.97/300.41 71769[16:Res:56196.1,5227.3] little_set(u) single_valued_set(ordered_pair(universal_set,v)) || equal(ordered_pair(f31(w,x,ordered_pair(universal_set,v)),u),a)** member(w,compose(x,ordered_pair(universal_set,v))) -> equal(u,f30(w,x,ordered_pair(universal_set,v))). % 299.97/300.41 71869[0:Res:5307.4,4.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) little_set(first(f32(z,cross_product(w,x),y,u,v)))*. % 299.97/300.41 71864[3:Res:5307.4,6160.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) ordered_pair_predicate(first(f32(z,cross_product(w,x),y,u,v)))*. % 299.97/300.41 73985[0:MRR:73984.0,133.1] little_set(u) || member(v,w)* member(x,compose(y,v)) equal(u,x)* member(ordered_pair(f29(x,y,v),f31(x,y,v)),z)* -> member(u,compose(z,sigma(w)))*. % 299.97/300.41 78677[16:Res:142.3,56189.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) equal(f32(y,w,x,u,v),a) little_set(f26(f32(y,w,x,u,v)))*. % 299.97/300.41 78675[16:Res:143.3,56189.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) equal(f33(y,w,x,u,v),a) little_set(f26(f33(y,w,x,u,v)))*. % 299.97/300.41 83993[16:Res:4783.1,83606.1] || member(u,rotate_right(intersection(v,f24(powerset(w))))) subset(ordered_pair(f10(u,intersection(v,f24(powerset(w)))),ordered_pair(f11(u,intersection(v,f24(powerset(w)))),f9(u,intersection(v,f24(powerset(w)))))),w)* -> . % 299.97/300.41 83991[16:Res:4635.1,83606.1] || member(u,flip_range_of(intersection(v,f24(powerset(w))))) subset(ordered_pair(f12(u,intersection(v,f24(powerset(w)))),ordered_pair(f14(u,intersection(v,f24(powerset(w)))),f13(u,intersection(v,f24(powerset(w)))))),w)* -> . % 299.97/300.41 83981[16:Res:4782.1,83606.1] || member(u,rotate_right(intersection(f24(powerset(v)),w))) subset(ordered_pair(f10(u,intersection(f24(powerset(v)),w)),ordered_pair(f11(u,intersection(f24(powerset(v)),w)),f9(u,intersection(f24(powerset(v)),w)))),v)* -> . % 299.97/300.41 83979[16:Res:4634.1,83606.1] || member(u,flip_range_of(intersection(f24(powerset(v)),w))) subset(ordered_pair(f12(u,intersection(f24(powerset(v)),w)),ordered_pair(f14(u,intersection(f24(powerset(v)),w)),f13(u,intersection(f24(powerset(v)),w)))),v)* -> . % 299.97/300.41 83973[16:Res:3837.1,83606.1] || subset(f1(non_ordered_pair(u,v),f24(powerset(w))),w)* -> equal(non_ordered_pair(u,v),f24(powerset(w))) equal(f1(non_ordered_pair(u,v),f24(powerset(w))),v) equal(f1(non_ordered_pair(u,v),f24(powerset(w))),u). % 299.97/300.41 83893[16:Res:3819.1,83606.1] || subset(f1(f24(powerset(u)),non_ordered_pair(v,w)),u)* -> equal(f24(powerset(u)),non_ordered_pair(v,w)) equal(f1(f24(powerset(u)),non_ordered_pair(v,w)),w) equal(f1(f24(powerset(u)),non_ordered_pair(v,w)),v). % 299.97/300.41 84183[2:Res:4783.1,25433.0] || member(u,rotate_right(intersection(v,image(w,x)))) subset(w,ordered_pair(f10(u,intersection(v,image(w,x))),ordered_pair(f11(u,intersection(v,image(w,x))),f9(u,intersection(v,image(w,x))))))* -> . % 299.97/300.41 84181[2:Res:4635.1,25433.0] || member(u,flip_range_of(intersection(v,image(w,x)))) subset(w,ordered_pair(f12(u,intersection(v,image(w,x))),ordered_pair(f14(u,intersection(v,image(w,x))),f13(u,intersection(v,image(w,x))))))* -> . % 299.97/300.41 84171[2:Res:4782.1,25433.0] || member(u,rotate_right(intersection(image(v,w),x))) subset(v,ordered_pair(f10(u,intersection(image(v,w),x)),ordered_pair(f11(u,intersection(image(v,w),x)),f9(u,intersection(image(v,w),x)))))* -> . % 299.97/300.41 84169[2:Res:4634.1,25433.0] || member(u,flip_range_of(intersection(image(v,w),x))) subset(v,ordered_pair(f12(u,intersection(image(v,w),x)),ordered_pair(f14(u,intersection(image(v,w),x)),f13(u,intersection(image(v,w),x)))))* -> . % 299.97/300.41 84163[2:Res:3837.1,25433.0] || subset(u,f1(non_ordered_pair(v,w),image(u,x)))* -> equal(non_ordered_pair(v,w),image(u,x)) equal(f1(non_ordered_pair(v,w),image(u,x)),w) equal(f1(non_ordered_pair(v,w),image(u,x)),v). % 299.97/300.41 84083[2:Res:3819.1,25433.0] || subset(u,f1(image(u,v),non_ordered_pair(w,x)))* -> equal(image(u,v),non_ordered_pair(w,x)) equal(f1(image(u,v),non_ordered_pair(w,x)),x) equal(f1(image(u,v),non_ordered_pair(w,x)),w). % 299.97/300.41 87634[16:Res:82665.1,6233.0] || equal(second(f1(u,cross_product(v,sigma(infinity)))),a) member(first(f1(u,cross_product(v,sigma(infinity)))),v)* member(f1(u,cross_product(v,sigma(infinity))),u)* -> equal(u,cross_product(v,sigma(infinity))). % 299.97/300.41 87788[16:Res:82681.1,6233.0] || equal(second(f1(u,cross_product(v,successor(a)))),a) member(first(f1(u,cross_product(v,successor(a)))),v)* member(f1(u,cross_product(v,successor(a))),u)* -> equal(u,cross_product(v,successor(a))). % 299.97/300.41 88452[16:Res:57853.0,6212.0] || member(u,v) equal(first(u),w) -> equal(complement(complement(converse(second(u)))),a) member(ordered_pair(second(f24(complement(complement(converse(second(u)))))),first(f24(complement(complement(converse(second(u))))))),apply(v,w))*. % 299.97/300.41 89308[0:Res:5302.5,14370.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(complement(z))) member(f32(y,w,x,u,v),converse(z))* -> homomorphism(y,w,x,u,v). % 299.97/300.41 89307[0:Res:5257.5,14370.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(complement(z))) member(f33(y,w,x,u,v),converse(z))* -> homomorphism(y,w,x,u,v). % 299.97/300.41 89543[0:Res:5302.5,43745.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,flip_range_of(complement(flip_range_of(z)))) member(f32(y,w,x,u,v),z)* -> homomorphism(y,w,x,u,v). % 299.97/300.41 89542[0:Res:5257.5,43745.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,flip_range_of(complement(flip_range_of(z)))) member(f33(y,w,x,u,v),z)* -> homomorphism(y,w,x,u,v). % 299.97/300.41 89595[16:Res:5311.4,56180.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) disjoint(w,universal_set) -> homomorphism(y,powerset(w),x,u,v) equal(f32(y,powerset(w),x,u,v),a)**. % 299.97/300.41 89594[16:Res:5266.4,56180.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) disjoint(w,universal_set) -> homomorphism(y,powerset(w),x,u,v) equal(f33(y,powerset(w),x,u,v),a)**. % 299.97/300.41 92739[0:Res:5302.5,19261.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,sigma(intersection(z,x1)))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),sigma(z))*. % 299.97/300.41 92738[0:Res:5257.5,19261.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,sigma(intersection(z,x1)))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),sigma(z))*. % 299.97/300.41 92941[0:Res:5302.5,19263.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,sigma(intersection(z,x1)))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),sigma(x1))*. % 299.97/300.41 92940[0:Res:5257.5,19263.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,sigma(intersection(z,x1)))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),sigma(x1))*. % 299.97/300.41 94248[16:Res:57719.1,6212.0] || member(u,v) equal(first(u),w) -> equal(restrict(converse(second(u)),x),a) member(ordered_pair(second(f24(restrict(converse(second(u)),x))),first(f24(restrict(converse(second(u)),x)))),apply(v,w))*. % 299.97/300.41 94468[0:Res:5311.4,14041.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) disjoint(w,z) -> homomorphism(y,powerset(w),x,u,v) disjoint(f32(y,powerset(w),x,u,v),z)*. % 299.97/300.41 94467[0:Res:5266.4,14041.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) disjoint(w,z) -> homomorphism(y,powerset(w),x,u,v) disjoint(f33(y,powerset(w),x,u,v),z)*. % 299.97/300.41 94798[0:Res:5311.4,14151.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) disjoint(w,z) -> homomorphism(y,powerset(w),x,u,v) disjoint(z,f32(y,powerset(w),x,u,v))*. % 299.97/300.41 94797[0:Res:5266.4,14151.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) disjoint(w,z) -> homomorphism(y,powerset(w),x,u,v) disjoint(z,f33(y,powerset(w),x,u,v))*. % 299.97/300.41 97128[3:SSi:97012.0,5742.0,371.0,371.1] || member(u,rotate_right(v)) disjoint(converse(powerset(ordered_pair(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))))),v)* -> . % 299.97/300.41 97129[3:SSi:97011.0,5742.0,371.0,371.1] || member(u,flip_range_of(v)) disjoint(converse(powerset(ordered_pair(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))))),v)* -> . % 299.97/300.41 97991[0:Res:5301.5,2938.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,singleton_set(z)) -> homomorphism(y,w,x,u,v) equal(f16(f32(y,w,x,u,v),singleton_set(z)),z)**. % 299.97/300.41 97990[0:Res:5256.5,2938.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,singleton_set(z)) -> homomorphism(y,w,x,u,v) equal(f16(f33(y,w,x,u,v),singleton_set(z)),z)**. % 299.97/300.41 99510[3:MRR:99422.0,6177.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(first(f22(v,w,x)),converse(z))* member(u,image(converse(complement(z)),y))*. % 299.97/300.41 99515[3:SSi:99360.0,5742.0,371.1] little_set(u) single_valued_set(converse(complement(v))) || member(w,compose(x,y)) member(w,converse(complement(v))) -> member(ordered_pair(f29(w,x,y),u),converse(v))* equal(u,f30(w,x,y)). % 299.97/300.41 99524[3:SSi:99359.0,5742.0,371.1] little_set(u) single_valued_set(converse(complement(v))) || member(w,compose(converse(complement(v)),x)) -> member(ordered_pair(f29(w,converse(complement(v)),x),u),converse(v))* equal(u,f31(w,converse(complement(v)),x)). % 299.97/300.41 99525[3:SSi:99358.0,5742.0,371.1] little_set(u) single_valued_set(converse(complement(v))) || member(w,compose(x,converse(complement(v)))) -> member(ordered_pair(f31(w,x,converse(complement(v))),u),converse(v))* equal(u,f30(w,x,converse(complement(v)))). % 299.97/300.41 99526[0:SSi:99412.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),converse(y))* member(v,flip_range_of(converse(complement(y))))*. % 299.97/300.41 99527[0:SSi:99411.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),converse(y))* member(v,flip_range_of(converse(complement(y))))*. % 299.97/300.41 99528[3:SSi:99408.0,5742.0,371.0,371.1] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),converse(y))* member(v,rotate_right(converse(complement(y))))*. % 299.97/300.41 99529[3:SSi:99407.0,5742.0,371.0,371.1] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),converse(y))* member(v,rotate_right(converse(complement(y))))*. % 299.97/300.41 99731[0:Res:22366.2,5162.4] ordered_pair_predicate(u) little_set(v) || member(first(f27(w,x)),f2(u))* member(w,range_of(x)) member(f27(w,x),y)* equal(w,v)* -> member(v,image(first(u),y))*. % 299.97/300.41 99713[0:Res:22366.2,6057.3] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(f12(w,x),ordered_pair(f14(w,x),f13(w,x))),f2(u))* member(w,flip_range_of(x)) equal(v,w)* -> member(v,flip_range_of(first(u)))*. % 299.97/300.41 99712[0:Res:22366.2,5362.3] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(f13(w,x),ordered_pair(f14(w,x),f12(w,x))),f2(u))* member(w,flip_range_of(x)) equal(v,w)* -> member(v,rotate_right(first(u)))*. % 299.97/300.41 99711[0:Res:22366.2,6056.3] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(f9(w,x),ordered_pair(f11(w,x),f10(w,x))),f2(u))* member(w,rotate_right(x)) equal(v,w)* -> member(v,flip_range_of(first(u)))*. % 299.97/300.41 99710[0:Res:22366.2,5361.3] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(f10(w,x),ordered_pair(f11(w,x),f9(w,x))),f2(u))* member(w,rotate_right(x)) equal(v,w)* -> member(v,rotate_right(first(u)))*. % 299.97/300.41 99671[0:Res:22366.2,5228.3] ordered_pair_predicate(u) little_set(v) single_valued_set(first(u)) || member(ordered_pair(f29(w,first(u),x),v),f2(u))* member(w,compose(first(u),x)) -> equal(v,f31(w,first(u),x)). % 299.97/300.41 99670[0:Res:22366.2,5227.3] ordered_pair_predicate(u) little_set(v) single_valued_set(first(u)) || member(ordered_pair(f31(w,x,first(u)),v),f2(u))* member(w,compose(x,first(u))) -> equal(v,f30(w,x,first(u))). % 299.97/300.41 99928[0:Res:22612.2,5162.4] ordered_pair_predicate(u) little_set(v) || member(first(f27(w,x)),f3(u))* member(w,range_of(x)) member(f27(w,x),y)* equal(w,v)* -> member(v,image(second(u),y))*. % 299.97/300.41 99910[0:Res:22612.2,6057.3] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(f12(w,x),ordered_pair(f14(w,x),f13(w,x))),f3(u))* member(w,flip_range_of(x)) equal(v,w)* -> member(v,flip_range_of(second(u)))*. % 299.97/300.41 99909[0:Res:22612.2,5362.3] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(f13(w,x),ordered_pair(f14(w,x),f12(w,x))),f3(u))* member(w,flip_range_of(x)) equal(v,w)* -> member(v,rotate_right(second(u)))*. % 299.97/300.41 99908[0:Res:22612.2,6056.3] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(f9(w,x),ordered_pair(f11(w,x),f10(w,x))),f3(u))* member(w,rotate_right(x)) equal(v,w)* -> member(v,flip_range_of(second(u)))*. % 299.97/300.41 99907[0:Res:22612.2,5361.3] ordered_pair_predicate(u) little_set(v) || member(ordered_pair(f10(w,x),ordered_pair(f11(w,x),f9(w,x))),f3(u))* member(w,rotate_right(x)) equal(v,w)* -> member(v,rotate_right(second(u)))*. % 299.97/300.41 99865[0:Res:22612.2,5228.3] ordered_pair_predicate(u) little_set(v) single_valued_set(second(u)) || member(ordered_pair(f29(w,second(u),x),v),f3(u))* member(w,compose(second(u),x)) -> equal(v,f31(w,second(u),x)). % 299.97/300.41 99864[0:Res:22612.2,5227.3] ordered_pair_predicate(u) little_set(v) single_valued_set(second(u)) || member(ordered_pair(f31(w,x,second(u)),v),f3(u))* member(w,compose(x,second(u))) -> equal(v,f30(w,x,second(u))). % 299.97/300.41 101913[3:Res:3813.2,6212.0] || disjoint(u,universal_set) member(v,w) equal(first(v),x) -> equal(converse(second(v)),u) member(ordered_pair(second(f1(converse(second(v)),u)),first(f1(converse(second(v)),u))),apply(w,x))*. % 299.97/300.41 102046[3:Res:3831.2,6212.0] || disjoint(u,universal_set) member(v,w) equal(first(v),x) -> equal(u,converse(second(v))) member(ordered_pair(second(f1(u,converse(second(v)))),first(f1(u,converse(second(v))))),apply(w,x))*. % 299.97/300.41 103674[0:Res:3817.2,16184.0] || -> equal(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y)) member(f1(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y)),u)* member(first(f1(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y))),v)*. % 299.97/300.41 103664[0:Res:3835.2,16184.0] || -> equal(cross_product(domain_of(intersection(cross_product(u,v),w)),x),y) member(f1(cross_product(domain_of(intersection(cross_product(u,v),w)),x),y),y)* member(first(f1(cross_product(domain_of(intersection(cross_product(u,v),w)),x),y)),u)*. % 299.97/300.41 103631[0:Res:3836.1,16184.0] || -> equal(cross_product(u,v),domain_of(intersection(cross_product(w,x),y))) member(second(f1(cross_product(u,v),domain_of(intersection(cross_product(w,x),y)))),v)* member(f1(cross_product(u,v),domain_of(intersection(cross_product(w,x),y))),w)*. % 299.97/300.41 103630[0:Res:3835.1,16184.0] || -> equal(cross_product(u,v),domain_of(intersection(cross_product(w,x),y))) member(first(f1(cross_product(u,v),domain_of(intersection(cross_product(w,x),y)))),u)* member(f1(cross_product(u,v),domain_of(intersection(cross_product(w,x),y))),w)*. % 299.97/300.41 103612[0:Res:3818.2,16184.0] || -> equal(u,cross_product(v,domain_of(intersection(cross_product(w,x),y)))) member(f1(u,cross_product(v,domain_of(intersection(cross_product(w,x),y)))),u)* member(second(f1(u,cross_product(v,domain_of(intersection(cross_product(w,x),y))))),w)*. % 299.97/300.41 103598[0:Res:3836.2,16184.0] || -> equal(cross_product(u,domain_of(intersection(cross_product(v,w),x))),y) member(f1(cross_product(u,domain_of(intersection(cross_product(v,w),x))),y),y)* member(second(f1(cross_product(u,domain_of(intersection(cross_product(v,w),x))),y)),v)*. % 299.97/300.41 103537[0:Res:3818.1,16184.0] || -> equal(domain_of(intersection(cross_product(u,v),w)),cross_product(x,y)) member(second(f1(domain_of(intersection(cross_product(u,v),w)),cross_product(x,y))),y)* member(f1(domain_of(intersection(cross_product(u,v),w)),cross_product(x,y)),u)*. % 299.97/300.41 103536[0:Res:3817.1,16184.0] || -> equal(domain_of(intersection(cross_product(u,v),w)),cross_product(x,y)) member(first(f1(domain_of(intersection(cross_product(u,v),w)),cross_product(x,y))),x)* member(f1(domain_of(intersection(cross_product(u,v),w)),cross_product(x,y)),u)*. % 299.97/300.41 103916[0:Res:3817.2,16416.0] || -> equal(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y)) member(f1(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y)),u)* member(first(f1(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y))),w)*. % 299.97/300.41 103906[0:Res:3835.2,16416.0] || -> equal(cross_product(domain_of(intersection(u,cross_product(v,w))),x),y) member(f1(cross_product(domain_of(intersection(u,cross_product(v,w))),x),y),y)* member(first(f1(cross_product(domain_of(intersection(u,cross_product(v,w))),x),y)),v)*. % 299.97/300.41 103873[0:Res:3836.1,16416.0] || -> equal(cross_product(u,v),domain_of(intersection(w,cross_product(x,y)))) member(second(f1(cross_product(u,v),domain_of(intersection(w,cross_product(x,y))))),v)* member(f1(cross_product(u,v),domain_of(intersection(w,cross_product(x,y)))),x)*. % 299.97/300.41 103872[0:Res:3835.1,16416.0] || -> equal(cross_product(u,v),domain_of(intersection(w,cross_product(x,y)))) member(first(f1(cross_product(u,v),domain_of(intersection(w,cross_product(x,y))))),u)* member(f1(cross_product(u,v),domain_of(intersection(w,cross_product(x,y)))),x)*. % 299.97/300.41 103854[0:Res:3818.2,16416.0] || -> equal(u,cross_product(v,domain_of(intersection(w,cross_product(x,y))))) member(f1(u,cross_product(v,domain_of(intersection(w,cross_product(x,y))))),u)* member(second(f1(u,cross_product(v,domain_of(intersection(w,cross_product(x,y)))))),x)*. % 299.97/300.41 103840[0:Res:3836.2,16416.0] || -> equal(cross_product(u,domain_of(intersection(v,cross_product(w,x)))),y) member(f1(cross_product(u,domain_of(intersection(v,cross_product(w,x)))),y),y)* member(second(f1(cross_product(u,domain_of(intersection(v,cross_product(w,x)))),y)),w)*. % 299.97/300.41 103779[0:Res:3818.1,16416.0] || -> equal(domain_of(intersection(u,cross_product(v,w))),cross_product(x,y)) member(second(f1(domain_of(intersection(u,cross_product(v,w))),cross_product(x,y))),y)* member(f1(domain_of(intersection(u,cross_product(v,w))),cross_product(x,y)),v)*. % 299.97/300.41 103778[0:Res:3817.1,16416.0] || -> equal(domain_of(intersection(u,cross_product(v,w))),cross_product(x,y)) member(first(f1(domain_of(intersection(u,cross_product(v,w))),cross_product(x,y))),x)* member(f1(domain_of(intersection(u,cross_product(v,w))),cross_product(x,y)),v)*. % 299.97/300.41 104161[0:Res:3817.2,17439.0] || -> equal(u,cross_product(range_of(intersection(cross_product(v,w),x)),y)) member(f1(u,cross_product(range_of(intersection(cross_product(v,w),x)),y)),u)* member(first(f1(u,cross_product(range_of(intersection(cross_product(v,w),x)),y))),w)*. % 299.97/300.41 104151[0:Res:3835.2,17439.0] || -> equal(cross_product(range_of(intersection(cross_product(u,v),w)),x),y) member(f1(cross_product(range_of(intersection(cross_product(u,v),w)),x),y),y)* member(first(f1(cross_product(range_of(intersection(cross_product(u,v),w)),x),y)),v)*. % 299.97/300.41 104118[0:Res:3836.1,17439.0] || -> equal(cross_product(u,v),range_of(intersection(cross_product(w,x),y))) member(second(f1(cross_product(u,v),range_of(intersection(cross_product(w,x),y)))),v)* member(f1(cross_product(u,v),range_of(intersection(cross_product(w,x),y))),x)*. % 299.97/300.41 104117[0:Res:3835.1,17439.0] || -> equal(cross_product(u,v),range_of(intersection(cross_product(w,x),y))) member(first(f1(cross_product(u,v),range_of(intersection(cross_product(w,x),y)))),u)* member(f1(cross_product(u,v),range_of(intersection(cross_product(w,x),y))),x)*. % 299.97/300.41 104099[0:Res:3818.2,17439.0] || -> equal(u,cross_product(v,range_of(intersection(cross_product(w,x),y)))) member(f1(u,cross_product(v,range_of(intersection(cross_product(w,x),y)))),u)* member(second(f1(u,cross_product(v,range_of(intersection(cross_product(w,x),y))))),x)*. % 299.97/300.41 104085[0:Res:3836.2,17439.0] || -> equal(cross_product(u,range_of(intersection(cross_product(v,w),x))),y) member(f1(cross_product(u,range_of(intersection(cross_product(v,w),x))),y),y)* member(second(f1(cross_product(u,range_of(intersection(cross_product(v,w),x))),y)),w)*. % 299.97/300.41 104024[0:Res:3818.1,17439.0] || -> equal(range_of(intersection(cross_product(u,v),w)),cross_product(x,y)) member(second(f1(range_of(intersection(cross_product(u,v),w)),cross_product(x,y))),y)* member(f1(range_of(intersection(cross_product(u,v),w)),cross_product(x,y)),v)*. % 299.97/300.41 104023[0:Res:3817.1,17439.0] || -> equal(range_of(intersection(cross_product(u,v),w)),cross_product(x,y)) member(first(f1(range_of(intersection(cross_product(u,v),w)),cross_product(x,y))),x)* member(f1(range_of(intersection(cross_product(u,v),w)),cross_product(x,y)),v)*. % 299.97/300.41 104438[0:Res:3817.2,17546.0] || -> equal(u,cross_product(range_of(intersection(v,cross_product(w,x))),y)) member(f1(u,cross_product(range_of(intersection(v,cross_product(w,x))),y)),u)* member(first(f1(u,cross_product(range_of(intersection(v,cross_product(w,x))),y))),x)*. % 299.97/300.41 104428[0:Res:3835.2,17546.0] || -> equal(cross_product(range_of(intersection(u,cross_product(v,w))),x),y) member(f1(cross_product(range_of(intersection(u,cross_product(v,w))),x),y),y)* member(first(f1(cross_product(range_of(intersection(u,cross_product(v,w))),x),y)),w)*. % 299.97/300.41 104395[0:Res:3836.1,17546.0] || -> equal(cross_product(u,v),range_of(intersection(w,cross_product(x,y)))) member(second(f1(cross_product(u,v),range_of(intersection(w,cross_product(x,y))))),v)* member(f1(cross_product(u,v),range_of(intersection(w,cross_product(x,y)))),y)*. % 299.97/300.41 104394[0:Res:3835.1,17546.0] || -> equal(cross_product(u,v),range_of(intersection(w,cross_product(x,y)))) member(first(f1(cross_product(u,v),range_of(intersection(w,cross_product(x,y))))),u)* member(f1(cross_product(u,v),range_of(intersection(w,cross_product(x,y)))),y)*. % 299.97/300.41 104376[0:Res:3818.2,17546.0] || -> equal(u,cross_product(v,range_of(intersection(w,cross_product(x,y))))) member(f1(u,cross_product(v,range_of(intersection(w,cross_product(x,y))))),u)* member(second(f1(u,cross_product(v,range_of(intersection(w,cross_product(x,y)))))),y)*. % 299.97/300.41 104362[0:Res:3836.2,17546.0] || -> equal(cross_product(u,range_of(intersection(v,cross_product(w,x)))),y) member(f1(cross_product(u,range_of(intersection(v,cross_product(w,x)))),y),y)* member(second(f1(cross_product(u,range_of(intersection(v,cross_product(w,x)))),y)),x)*. % 299.97/300.41 104301[0:Res:3818.1,17546.0] || -> equal(range_of(intersection(u,cross_product(v,w))),cross_product(x,y)) member(second(f1(range_of(intersection(u,cross_product(v,w))),cross_product(x,y))),y)* member(f1(range_of(intersection(u,cross_product(v,w))),cross_product(x,y)),w)*. % 299.97/300.41 104300[0:Res:3817.1,17546.0] || -> equal(range_of(intersection(u,cross_product(v,w))),cross_product(x,y)) member(first(f1(range_of(intersection(u,cross_product(v,w))),cross_product(x,y))),x)* member(f1(range_of(intersection(u,cross_product(v,w))),cross_product(x,y)),w)*. % 299.97/300.41 104778[0:MRR:104695.0,1545.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(first(f22(v,w,x)),complement(z))* member(u,image(union(z,x1),y))*. % 299.97/300.41 104783[0:SSi:104633.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,compose(y,z)) member(x,union(v,w))* -> member(ordered_pair(f29(x,y,z),u),complement(v))* equal(u,f30(x,y,z)). % 299.97/300.41 104792[0:SSi:104632.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,compose(union(v,w),y)) -> member(ordered_pair(f29(x,union(v,w),y),u),complement(v))* equal(u,f31(x,union(v,w),y)). % 299.97/300.41 104793[0:SSi:104631.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,compose(y,union(v,w))) -> member(ordered_pair(f31(x,y,union(v,w)),u),complement(v))* equal(u,f30(x,y,union(v,w))). % 299.97/300.41 104794[0:SSi:104685.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),complement(y))* member(v,flip_range_of(union(y,z)))*. % 299.97/300.41 104795[0:SSi:104684.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),complement(y))* member(v,flip_range_of(union(y,z)))*. % 299.97/300.41 104796[0:SSi:104681.0,371.0,371.0] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),complement(y))* member(v,rotate_right(union(y,z)))*. % 299.97/300.41 104797[0:SSi:104680.0,371.0,371.0] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),complement(y))* member(v,rotate_right(union(y,z)))*. % 299.97/300.41 105124[0:MRR:105039.0,1545.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(first(f22(v,w,x)),complement(z))* member(u,image(union(x1,z),y))*. % 299.97/300.41 105129[0:SSi:104977.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,compose(y,z)) member(x,union(v,w))* -> member(ordered_pair(f29(x,y,z),u),complement(w))* equal(u,f30(x,y,z)). % 299.97/300.41 105138[0:SSi:104976.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,compose(union(v,w),y)) -> member(ordered_pair(f29(x,union(v,w),y),u),complement(w))* equal(u,f31(x,union(v,w),y)). % 299.97/300.41 105139[0:SSi:104975.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,compose(y,union(v,w))) -> member(ordered_pair(f31(x,y,union(v,w)),u),complement(w))* equal(u,f30(x,y,union(v,w))). % 299.97/300.41 105140[0:SSi:105029.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),complement(y))* member(v,flip_range_of(union(z,y)))*. % 299.97/300.41 105141[0:SSi:105028.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),complement(y))* member(v,flip_range_of(union(z,y)))*. % 299.97/300.41 105142[0:SSi:105025.0,371.0,371.0] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),complement(y))* member(v,rotate_right(union(z,y)))*. % 299.97/300.41 105143[0:SSi:105024.0,371.0,371.0] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),complement(y))* member(v,rotate_right(union(z,y)))*. % 299.97/300.41 105356[0:Res:52.1,26698.0] || member(u,rotate_right(apply(cross_product(v,w),x))) -> member(ordered_pair(f10(u,apply(cross_product(v,w),x)),ordered_pair(f11(u,apply(cross_product(v,w),x)),f9(u,apply(cross_product(v,w),x)))),sigma(w))*. % 299.97/300.41 105354[0:Res:58.1,26698.0] || member(u,flip_range_of(apply(cross_product(v,w),x))) -> member(ordered_pair(f12(u,apply(cross_product(v,w),x)),ordered_pair(f14(u,apply(cross_product(v,w),x)),f13(u,apply(cross_product(v,w),x)))),sigma(w))*. % 299.97/300.41 18267[0:Res:279.1,8.0] || -> single_valued_set(intersection(u,non_ordered_pair(v,w))) equal(ordered_pair(f19(intersection(u,non_ordered_pair(v,w))),f21(intersection(u,non_ordered_pair(v,w)))),w)** equal(ordered_pair(f19(intersection(u,non_ordered_pair(v,w))),f21(intersection(u,non_ordered_pair(v,w)))),v)**. % 299.97/300.41 18404[0:Res:280.1,8.0] || -> single_valued_set(intersection(u,non_ordered_pair(v,w))) equal(ordered_pair(f19(intersection(u,non_ordered_pair(v,w))),f20(intersection(u,non_ordered_pair(v,w)))),w)** equal(ordered_pair(f19(intersection(u,non_ordered_pair(v,w))),f20(intersection(u,non_ordered_pair(v,w)))),v)**. % 299.97/300.41 18486[0:Res:287.1,8.0] || -> single_valued_set(intersection(non_ordered_pair(u,v),w)) equal(ordered_pair(f19(intersection(non_ordered_pair(u,v),w)),f21(intersection(non_ordered_pair(u,v),w))),v)** equal(ordered_pair(f19(intersection(non_ordered_pair(u,v),w)),f21(intersection(non_ordered_pair(u,v),w))),u)**. % 299.97/300.41 18628[0:Res:288.1,8.0] || -> single_valued_set(intersection(non_ordered_pair(u,v),w)) equal(ordered_pair(f19(intersection(non_ordered_pair(u,v),w)),f20(intersection(non_ordered_pair(u,v),w))),v)** equal(ordered_pair(f19(intersection(non_ordered_pair(u,v),w)),f20(intersection(non_ordered_pair(u,v),w))),u)**. % 299.97/300.41 18894[0:SSi:18859.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(intersection(complement(x),complement(y))) || member(ordered_pair(w,v),intersection(complement(x),complement(y)))* -> member(ordered_pair(w,u),union(x,y))* equal(v,u)*. % 299.97/300.41 21917[0:Res:288.1,1009.0] || subset(u,v) -> single_valued_set(intersection(converse(u),w)) member(ordered_pair(second(ordered_pair(f19(intersection(converse(u),w)),f20(intersection(converse(u),w)))),first(ordered_pair(f19(intersection(converse(u),w)),f20(intersection(converse(u),w))))),v)*. % 299.97/300.41 21916[0:Res:287.1,1009.0] || subset(u,v) -> single_valued_set(intersection(converse(u),w)) member(ordered_pair(second(ordered_pair(f19(intersection(converse(u),w)),f21(intersection(converse(u),w)))),first(ordered_pair(f19(intersection(converse(u),w)),f21(intersection(converse(u),w))))),v)*. % 299.97/300.41 21913[0:Res:280.1,1009.0] || subset(u,v) -> single_valued_set(intersection(w,converse(u))) member(ordered_pair(second(ordered_pair(f19(intersection(w,converse(u))),f20(intersection(w,converse(u))))),first(ordered_pair(f19(intersection(w,converse(u))),f20(intersection(w,converse(u)))))),v)*. % 299.97/300.41 21912[0:Res:279.1,1009.0] || subset(u,v) -> single_valued_set(intersection(w,converse(u))) member(ordered_pair(second(ordered_pair(f19(intersection(w,converse(u))),f21(intersection(w,converse(u))))),first(ordered_pair(f19(intersection(w,converse(u))),f21(intersection(w,converse(u)))))),v)*. % 299.97/300.41 22813[0:Res:3821.1,1014.0] || -> equal(converse(cross_product(u,v)),powerset(w)) subset(f1(converse(cross_product(u,v)),powerset(w)),w) member(first(ordered_pair(second(f1(converse(cross_product(u,v)),powerset(w))),first(f1(converse(cross_product(u,v)),powerset(w))))),u)*. % 299.97/300.41 22812[0:Res:3821.1,1015.0] || -> equal(converse(cross_product(u,v)),powerset(w)) subset(f1(converse(cross_product(u,v)),powerset(w)),w) member(second(ordered_pair(second(f1(converse(cross_product(u,v)),powerset(w))),first(f1(converse(cross_product(u,v)),powerset(w))))),v)*. % 299.97/300.41 22908[0:Res:3839.1,1014.0] || -> equal(powerset(u),converse(cross_product(v,w))) subset(f1(powerset(u),converse(cross_product(v,w))),u) member(first(ordered_pair(second(f1(powerset(u),converse(cross_product(v,w)))),first(f1(powerset(u),converse(cross_product(v,w)))))),v)*. % 299.97/300.41 22907[0:Res:3839.1,1015.0] || -> equal(powerset(u),converse(cross_product(v,w))) subset(f1(powerset(u),converse(cross_product(v,w))),u) member(second(ordered_pair(second(f1(powerset(u),converse(cross_product(v,w)))),first(f1(powerset(u),converse(cross_product(v,w)))))),w)*. % 299.97/300.41 25773[0:Res:1344.1,1020.0] || member(u,image(v,cross_product(converse(intersection(w,x)),y))) -> member(ordered_pair(second(first(f22(u,v,cross_product(converse(intersection(w,x)),y)))),first(first(f22(u,v,cross_product(converse(intersection(w,x)),y))))),w)*. % 299.97/300.41 25772[0:Res:1344.1,1021.0] || member(u,image(v,cross_product(converse(intersection(w,x)),y))) -> member(ordered_pair(second(first(f22(u,v,cross_product(converse(intersection(w,x)),y)))),first(first(f22(u,v,cross_product(converse(intersection(w,x)),y))))),x)*. % 299.97/300.41 25910[0:Res:1555.1,1020.0] || member(u,image(intersection(converse(intersection(v,w)),x),y)) -> member(ordered_pair(second(first(f22(u,intersection(converse(intersection(v,w)),x),y))),first(first(f22(u,intersection(converse(intersection(v,w)),x),y)))),v)*. % 299.97/300.41 25909[0:Res:1555.1,1021.0] || member(u,image(intersection(converse(intersection(v,w)),x),y)) -> member(ordered_pair(second(first(f22(u,intersection(converse(intersection(v,w)),x),y))),first(first(f22(u,intersection(converse(intersection(v,w)),x),y)))),w)*. % 299.97/300.41 26067[0:Res:1556.1,1020.0] || member(u,image(intersection(v,converse(intersection(w,x))),y)) -> member(ordered_pair(second(first(f22(u,intersection(v,converse(intersection(w,x))),y))),first(first(f22(u,intersection(v,converse(intersection(w,x))),y)))),w)*. % 299.97/300.41 26066[0:Res:1556.1,1021.0] || member(u,image(intersection(v,converse(intersection(w,x))),y)) -> member(ordered_pair(second(first(f22(u,intersection(v,converse(intersection(w,x))),y))),first(first(f22(u,intersection(v,converse(intersection(w,x))),y)))),x)*. % 299.97/300.41 26137[0:Res:1280.1,1020.0] || member(u,apply(cross_product(v,converse(intersection(w,x))),y)) -> member(ordered_pair(second(second(f28(u,cross_product(v,converse(intersection(w,x))),y))),first(second(f28(u,cross_product(v,converse(intersection(w,x))),y)))),w)*. % 299.97/300.41 26136[0:Res:1280.1,1021.0] || member(u,apply(cross_product(v,converse(intersection(w,x))),y)) -> member(ordered_pair(second(second(f28(u,cross_product(v,converse(intersection(w,x))),y))),first(second(f28(u,cross_product(v,converse(intersection(w,x))),y)))),x)*. % 299.97/300.41 27055[0:Res:1549.1,1009.0] || member(u,image(cross_product(converse(v),w),x)) subset(v,y) -> member(ordered_pair(second(first(first(f22(u,cross_product(converse(v),w),x)))),first(first(first(f22(u,cross_product(converse(v),w),x))))),y)*. % 299.97/300.41 27200[0:Res:1550.1,1009.0] || member(u,image(cross_product(v,converse(w)),x)) subset(w,y) -> member(ordered_pair(second(second(first(f22(u,cross_product(v,converse(w)),x)))),first(second(first(f22(u,cross_product(v,converse(w)),x))))),y)*. % 299.97/300.41 28621[0:Res:1544.2,3811.0] || member(u,image(v,w)) subset(v,x) -> equal(y,first(f22(u,v,w))) member(f1(y,first(f22(u,v,w))),y)* member(f1(y,first(f22(u,v,w))),sigma(x))*. % 299.97/300.41 28573[0:Res:557.1,3811.0] || member(u,range_of(cross_product(v,w))) -> equal(x,first(f27(u,cross_product(v,w)))) member(f1(x,first(f27(u,cross_product(v,w)))),x)* member(f1(x,first(f27(u,cross_product(v,w)))),sigma(v))*. % 299.97/300.41 28572[0:Res:558.1,3811.0] || member(u,sigma(cross_product(v,w))) -> equal(x,first(f16(u,cross_product(v,w)))) member(f1(x,first(f16(u,cross_product(v,w)))),x)* member(f1(x,first(f16(u,cross_product(v,w)))),sigma(v))*. % 299.97/300.41 28532[0:Res:545.1,3811.0] || member(u,sigma(cross_product(v,w))) -> equal(x,second(f16(u,cross_product(v,w)))) member(f1(x,second(f16(u,cross_product(v,w)))),x)* member(f1(x,second(f16(u,cross_product(v,w)))),sigma(w))*. % 299.97/300.41 28531[0:Res:546.1,3811.0] || member(u,domain_of(cross_product(v,w))) -> equal(x,second(f8(u,cross_product(v,w)))) member(f1(x,second(f8(u,cross_product(v,w)))),x)* member(f1(x,second(f8(u,cross_product(v,w)))),sigma(w))*. % 299.97/300.41 29000[0:Res:1544.2,3829.0] || member(u,image(v,w)) subset(v,x) -> equal(first(f22(u,v,w)),y) member(f1(first(f22(u,v,w)),y),y)* member(f1(first(f22(u,v,w)),y),sigma(x))*. % 299.97/300.41 28950[0:Res:557.1,3829.0] || member(u,range_of(cross_product(v,w))) -> equal(first(f27(u,cross_product(v,w))),x) member(f1(first(f27(u,cross_product(v,w))),x),x)* member(f1(first(f27(u,cross_product(v,w))),x),sigma(v))*. % 299.97/300.41 28949[0:Res:558.1,3829.0] || member(u,sigma(cross_product(v,w))) -> equal(first(f16(u,cross_product(v,w))),x) member(f1(first(f16(u,cross_product(v,w))),x),x)* member(f1(first(f16(u,cross_product(v,w))),x),sigma(v))*. % 299.97/300.41 28909[0:Res:545.1,3829.0] || member(u,sigma(cross_product(v,w))) -> equal(second(f16(u,cross_product(v,w))),x) member(f1(second(f16(u,cross_product(v,w))),x),x)* member(f1(second(f16(u,cross_product(v,w))),x),sigma(w))*. % 299.97/300.41 28908[0:Res:546.1,3829.0] || member(u,domain_of(cross_product(v,w))) -> equal(second(f8(u,cross_product(v,w))),x) member(f1(second(f8(u,cross_product(v,w))),x),x)* member(f1(second(f8(u,cross_product(v,w))),x),sigma(w))*. % 299.97/300.41 29825[0:Res:52.1,5019.1] || member(u,rotate_right(f4(v,w))) member(v,first(w)) equal(x,w) -> member(ordered_pair(f10(u,f4(v,w)),ordered_pair(f11(u,f4(v,w)),f9(u,f4(v,w)))),first(x))*. % 299.97/300.41 29824[0:Res:58.1,5019.1] || member(u,flip_range_of(f4(v,w))) member(v,first(w)) equal(x,w) -> member(ordered_pair(f12(u,f4(v,w)),ordered_pair(f14(u,f4(v,w)),f13(u,f4(v,w)))),first(x))*. % 299.97/300.41 30238[0:Res:52.1,5020.1] || member(u,rotate_right(f6(v,w))) member(v,second(w)) equal(x,w) -> member(ordered_pair(f10(u,f6(v,w)),ordered_pair(f11(u,f6(v,w)),f9(u,f6(v,w)))),first(x))*. % 299.97/300.41 30237[0:Res:58.1,5020.1] || member(u,flip_range_of(f6(v,w))) member(v,second(w)) equal(x,w) -> member(ordered_pair(f12(u,f6(v,w)),ordered_pair(f14(u,f6(v,w)),f13(u,f6(v,w)))),first(x))*. % 299.97/300.41 30349[0:Res:52.1,5022.1] || member(u,rotate_right(f9(v,w))) member(v,rotate_right(w)) equal(x,v) -> member(ordered_pair(f10(u,f9(v,w)),ordered_pair(f11(u,f9(v,w)),f9(u,f9(v,w)))),first(x))*. % 299.97/300.41 30348[0:Res:58.1,5022.1] || member(u,flip_range_of(f9(v,w))) member(v,rotate_right(w)) equal(x,v) -> member(ordered_pair(f12(u,f9(v,w)),ordered_pair(f14(u,f9(v,w)),f13(u,f9(v,w)))),first(x))*. % 299.97/300.41 30492[0:Res:52.1,5024.1] || member(u,rotate_right(f12(v,w))) member(v,flip_range_of(w)) equal(x,v) -> member(ordered_pair(f10(u,f12(v,w)),ordered_pair(f11(u,f12(v,w)),f9(u,f12(v,w)))),first(x))*. % 299.97/300.41 30491[0:Res:58.1,5024.1] || member(u,flip_range_of(f12(v,w))) member(v,flip_range_of(w)) equal(x,v) -> member(ordered_pair(f12(u,f12(v,w)),ordered_pair(f14(u,f12(v,w)),f13(u,f12(v,w)))),first(x))*. % 299.97/300.41 30645[0:Res:52.1,5064.1] || member(u,rotate_right(f5(v,w))) member(v,first(w)) equal(x,w) -> member(ordered_pair(f10(u,f5(v,w)),ordered_pair(f11(u,f5(v,w)),f9(u,f5(v,w)))),second(x))*. % 299.97/300.41 30644[0:Res:58.1,5064.1] || member(u,flip_range_of(f5(v,w))) member(v,first(w)) equal(x,w) -> member(ordered_pair(f12(u,f5(v,w)),ordered_pair(f14(u,f5(v,w)),f13(u,f5(v,w)))),second(x))*. % 299.97/300.41 30802[0:Res:52.1,5065.1] || member(u,rotate_right(f7(v,w))) member(v,second(w)) equal(x,w) -> member(ordered_pair(f10(u,f7(v,w)),ordered_pair(f11(u,f7(v,w)),f9(u,f7(v,w)))),second(x))*. % 299.97/300.41 30801[0:Res:58.1,5065.1] || member(u,flip_range_of(f7(v,w))) member(v,second(w)) equal(x,w) -> member(ordered_pair(f12(u,f7(v,w)),ordered_pair(f14(u,f7(v,w)),f13(u,f7(v,w)))),second(x))*. % 299.97/300.41 31409[0:Res:3824.2,1163.0] || member(u,v) -> equal(w,intersection(converse(u),x)) member(f1(w,intersection(converse(u),x)),w) member(ordered_pair(second(f1(w,intersection(converse(u),x))),first(f1(w,intersection(converse(u),x)))),sigma(v))*. % 299.97/300.41 31351[0:Res:3824.1,1163.0] || member(u,v) -> equal(converse(u),intersection(w,x)) member(f1(converse(u),intersection(w,x)),w) member(ordered_pair(second(f1(converse(u),intersection(w,x))),first(f1(converse(u),intersection(w,x)))),sigma(v))*. % 299.97/300.41 31619[0:Res:3825.2,1163.0] || member(u,v) -> equal(w,intersection(x,converse(u))) member(f1(w,intersection(x,converse(u))),w) member(ordered_pair(second(f1(w,intersection(x,converse(u)))),first(f1(w,intersection(x,converse(u))))),sigma(v))*. % 299.97/300.41 31561[0:Res:3825.1,1163.0] || member(u,v) -> equal(converse(u),intersection(w,x)) member(f1(converse(u),intersection(w,x)),x) member(ordered_pair(second(f1(converse(u),intersection(w,x))),first(f1(converse(u),intersection(w,x)))),sigma(v))*. % 299.97/300.41 31802[0:Res:3842.2,1163.0] || member(u,v) -> equal(intersection(converse(u),w),x) member(f1(intersection(converse(u),w),x),x) member(ordered_pair(second(f1(intersection(converse(u),w),x)),first(f1(intersection(converse(u),w),x))),sigma(v))*. % 299.97/300.41 31744[0:Res:3842.1,1163.0] || member(u,v) -> equal(intersection(w,x),converse(u)) member(f1(intersection(w,x),converse(u)),w) member(ordered_pair(second(f1(intersection(w,x),converse(u))),first(f1(intersection(w,x),converse(u)))),sigma(v))*. % 299.97/300.41 31983[0:Res:3843.2,1163.0] || member(u,v) -> equal(intersection(w,converse(u)),x) member(f1(intersection(w,converse(u)),x),x) member(ordered_pair(second(f1(intersection(w,converse(u)),x)),first(f1(intersection(w,converse(u)),x))),sigma(v))*. % 299.97/300.41 31925[0:Res:3843.1,1163.0] || member(u,v) -> equal(intersection(w,x),converse(u)) member(f1(intersection(w,x),converse(u)),x) member(ordered_pair(second(f1(intersection(w,x),converse(u))),first(f1(intersection(w,x),converse(u)))),sigma(v))*. % 299.97/300.41 32213[0:MRR:32193.2,4.1] little_set(first(f27(u,v))) little_set(w) single_valued_set(x) || member(u,range_of(v)) member(f27(u,v),converse(x))* member(ordered_pair(u,w),x)* -> equal(w,first(f27(u,v)))*. % 299.97/300.41 32384[0:MRR:32364.0,4.1] little_set(u) little_set(second(f8(v,w))) single_valued_set(x) || member(v,domain_of(w)) member(f8(v,w),converse(x)) member(ordered_pair(second(f8(v,w)),u),x)* -> equal(u,v). % 299.97/300.41 32838[0:Res:3836.2,5065.1] || member(u,second(v)) equal(w,v) -> equal(cross_product(x,f7(u,v)),y) member(f1(cross_product(x,f7(u,v)),y),y)* member(second(f1(cross_product(x,f7(u,v)),y)),second(w))*. % 299.97/300.41 32837[0:Res:3836.2,5064.1] || member(u,first(v)) equal(w,v) -> equal(cross_product(x,f5(u,v)),y) member(f1(cross_product(x,f5(u,v)),y),y)* member(second(f1(cross_product(x,f5(u,v)),y)),second(w))*. % 299.97/300.41 32836[0:Res:3836.2,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(x,f12(u,v)),y) member(f1(cross_product(x,f12(u,v)),y),y)* member(second(f1(cross_product(x,f12(u,v)),y)),first(w))*. % 299.97/300.41 32835[0:Res:3836.2,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(x,f9(u,v)),y) member(f1(cross_product(x,f9(u,v)),y),y)* member(second(f1(cross_product(x,f9(u,v)),y)),first(w))*. % 299.97/300.41 32834[0:Res:3836.2,5020.1] || member(u,second(v)) equal(w,v) -> equal(cross_product(x,f6(u,v)),y) member(f1(cross_product(x,f6(u,v)),y),y)* member(second(f1(cross_product(x,f6(u,v)),y)),first(w))*. % 299.97/300.41 32833[0:Res:3836.2,5019.1] || member(u,first(v)) equal(w,v) -> equal(cross_product(x,f4(u,v)),y) member(f1(cross_product(x,f4(u,v)),y),y)* member(second(f1(cross_product(x,f4(u,v)),y)),first(w))*. % 299.97/300.41 32803[0:Res:3836.2,8.0] || -> equal(cross_product(u,non_ordered_pair(v,w)),x) member(f1(cross_product(u,non_ordered_pair(v,w)),x),x)* equal(second(f1(cross_product(u,non_ordered_pair(v,w)),x)),w) equal(second(f1(cross_product(u,non_ordered_pair(v,w)),x)),v). % 299.97/300.41 32783[0:Res:3836.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(cross_product(x,y),f7(u,v)) member(second(f1(cross_product(x,y),f7(u,v))),y)* member(f1(cross_product(x,y),f7(u,v)),second(w))*. % 299.97/300.41 32782[0:Res:3836.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(cross_product(x,y),f5(u,v)) member(second(f1(cross_product(x,y),f5(u,v))),y)* member(f1(cross_product(x,y),f5(u,v)),second(w))*. % 299.97/300.41 32781[0:Res:3836.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(x,y),f12(u,v)) member(second(f1(cross_product(x,y),f12(u,v))),y)* member(f1(cross_product(x,y),f12(u,v)),first(w))*. % 299.97/300.41 32780[0:Res:3836.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(x,y),f9(u,v)) member(second(f1(cross_product(x,y),f9(u,v))),y)* member(f1(cross_product(x,y),f9(u,v)),first(w))*. % 299.97/300.41 32779[0:Res:3836.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(cross_product(x,y),f6(u,v)) member(second(f1(cross_product(x,y),f6(u,v))),y)* member(f1(cross_product(x,y),f6(u,v)),first(w))*. % 299.97/300.41 32778[0:Res:3836.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(cross_product(x,y),f4(u,v)) member(second(f1(cross_product(x,y),f4(u,v))),y)* member(f1(cross_product(x,y),f4(u,v)),first(w))*. % 299.97/300.41 32748[0:Res:3836.1,1009.0] || subset(u,v) -> equal(cross_product(w,x),converse(u)) member(second(f1(cross_product(w,x),converse(u))),x) member(ordered_pair(second(f1(cross_product(w,x),converse(u))),first(f1(cross_product(w,x),converse(u)))),v)*. % 299.97/300.41 33003[0:Res:3835.2,5065.1] || member(u,second(v)) equal(w,v) -> equal(cross_product(f7(u,v),x),y) member(f1(cross_product(f7(u,v),x),y),y)* member(first(f1(cross_product(f7(u,v),x),y)),second(w))*. % 299.97/300.41 33002[0:Res:3835.2,5064.1] || member(u,first(v)) equal(w,v) -> equal(cross_product(f5(u,v),x),y) member(f1(cross_product(f5(u,v),x),y),y)* member(first(f1(cross_product(f5(u,v),x),y)),second(w))*. % 299.97/300.41 33001[0:Res:3835.2,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(f12(u,v),x),y) member(f1(cross_product(f12(u,v),x),y),y)* member(first(f1(cross_product(f12(u,v),x),y)),first(w))*. % 299.97/300.41 33000[0:Res:3835.2,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(f9(u,v),x),y) member(f1(cross_product(f9(u,v),x),y),y)* member(first(f1(cross_product(f9(u,v),x),y)),first(w))*. % 299.97/300.41 32999[0:Res:3835.2,5020.1] || member(u,second(v)) equal(w,v) -> equal(cross_product(f6(u,v),x),y) member(f1(cross_product(f6(u,v),x),y),y)* member(first(f1(cross_product(f6(u,v),x),y)),first(w))*. % 299.97/300.41 32998[0:Res:3835.2,5019.1] || member(u,first(v)) equal(w,v) -> equal(cross_product(f4(u,v),x),y) member(f1(cross_product(f4(u,v),x),y),y)* member(first(f1(cross_product(f4(u,v),x),y)),first(w))*. % 299.97/300.41 32968[0:Res:3835.2,8.0] || -> equal(cross_product(non_ordered_pair(u,v),w),x) member(f1(cross_product(non_ordered_pair(u,v),w),x),x)* equal(first(f1(cross_product(non_ordered_pair(u,v),w),x)),v) equal(first(f1(cross_product(non_ordered_pair(u,v),w),x)),u). % 299.97/300.41 32948[0:Res:3835.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(cross_product(x,y),f7(u,v)) member(first(f1(cross_product(x,y),f7(u,v))),x)* member(f1(cross_product(x,y),f7(u,v)),second(w))*. % 299.97/300.41 32947[0:Res:3835.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(cross_product(x,y),f5(u,v)) member(first(f1(cross_product(x,y),f5(u,v))),x)* member(f1(cross_product(x,y),f5(u,v)),second(w))*. % 299.97/300.41 32946[0:Res:3835.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(x,y),f12(u,v)) member(first(f1(cross_product(x,y),f12(u,v))),x)* member(f1(cross_product(x,y),f12(u,v)),first(w))*. % 299.97/300.41 32945[0:Res:3835.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(x,y),f9(u,v)) member(first(f1(cross_product(x,y),f9(u,v))),x)* member(f1(cross_product(x,y),f9(u,v)),first(w))*. % 299.97/300.41 32944[0:Res:3835.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(cross_product(x,y),f6(u,v)) member(first(f1(cross_product(x,y),f6(u,v))),x)* member(f1(cross_product(x,y),f6(u,v)),first(w))*. % 299.97/300.41 32943[0:Res:3835.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(cross_product(x,y),f4(u,v)) member(first(f1(cross_product(x,y),f4(u,v))),x)* member(f1(cross_product(x,y),f4(u,v)),first(w))*. % 299.97/300.41 32913[0:Res:3835.1,1009.0] || subset(u,v) -> equal(cross_product(w,x),converse(u)) member(first(f1(cross_product(w,x),converse(u))),w) member(ordered_pair(second(f1(cross_product(w,x),converse(u))),first(f1(cross_product(w,x),converse(u)))),v)*. % 299.97/300.41 33174[0:Res:3818.2,5065.1] || member(u,second(v)) equal(w,v) -> equal(x,cross_product(y,f7(u,v))) member(f1(x,cross_product(y,f7(u,v))),x)* member(second(f1(x,cross_product(y,f7(u,v)))),second(w))*. % 299.97/300.41 33173[0:Res:3818.2,5064.1] || member(u,first(v)) equal(w,v) -> equal(x,cross_product(y,f5(u,v))) member(f1(x,cross_product(y,f5(u,v))),x)* member(second(f1(x,cross_product(y,f5(u,v)))),second(w))*. % 299.97/300.41 33172[0:Res:3818.2,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(x,cross_product(y,f12(u,v))) member(f1(x,cross_product(y,f12(u,v))),x)* member(second(f1(x,cross_product(y,f12(u,v)))),first(w))*. % 299.97/300.41 33171[0:Res:3818.2,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(x,cross_product(y,f9(u,v))) member(f1(x,cross_product(y,f9(u,v))),x)* member(second(f1(x,cross_product(y,f9(u,v)))),first(w))*. % 299.97/300.41 33170[0:Res:3818.2,5020.1] || member(u,second(v)) equal(w,v) -> equal(x,cross_product(y,f6(u,v))) member(f1(x,cross_product(y,f6(u,v))),x)* member(second(f1(x,cross_product(y,f6(u,v)))),first(w))*. % 299.97/300.41 33169[0:Res:3818.2,5019.1] || member(u,first(v)) equal(w,v) -> equal(x,cross_product(y,f4(u,v))) member(f1(x,cross_product(y,f4(u,v))),x)* member(second(f1(x,cross_product(y,f4(u,v)))),first(w))*. % 299.97/300.41 33139[0:Res:3818.2,8.0] || -> equal(u,cross_product(v,non_ordered_pair(w,x))) member(f1(u,cross_product(v,non_ordered_pair(w,x))),u)* equal(second(f1(u,cross_product(v,non_ordered_pair(w,x)))),x) equal(second(f1(u,cross_product(v,non_ordered_pair(w,x)))),w). % 299.97/300.41 33119[0:Res:3818.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),cross_product(x,y)) member(second(f1(f7(u,v),cross_product(x,y))),y)* member(f1(f7(u,v),cross_product(x,y)),second(w))*. % 299.97/300.41 33118[0:Res:3818.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),cross_product(x,y)) member(second(f1(f5(u,v),cross_product(x,y))),y)* member(f1(f5(u,v),cross_product(x,y)),second(w))*. % 299.97/300.41 33117[0:Res:3818.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),cross_product(x,y)) member(second(f1(f12(u,v),cross_product(x,y))),y)* member(f1(f12(u,v),cross_product(x,y)),first(w))*. % 299.97/300.41 33116[0:Res:3818.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),cross_product(x,y)) member(second(f1(f9(u,v),cross_product(x,y))),y)* member(f1(f9(u,v),cross_product(x,y)),first(w))*. % 299.97/300.41 33115[0:Res:3818.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),cross_product(x,y)) member(second(f1(f6(u,v),cross_product(x,y))),y)* member(f1(f6(u,v),cross_product(x,y)),first(w))*. % 299.97/300.41 33114[0:Res:3818.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),cross_product(x,y)) member(second(f1(f4(u,v),cross_product(x,y))),y)* member(f1(f4(u,v),cross_product(x,y)),first(w))*. % 299.97/300.41 33084[0:Res:3818.1,1009.0] || subset(u,v) -> equal(converse(u),cross_product(w,x)) member(second(f1(converse(u),cross_product(w,x))),x) member(ordered_pair(second(f1(converse(u),cross_product(w,x))),first(f1(converse(u),cross_product(w,x)))),v)*. % 299.97/300.41 33340[0:Res:3817.2,5065.1] || member(u,second(v)) equal(w,v) -> equal(x,cross_product(f7(u,v),y)) member(f1(x,cross_product(f7(u,v),y)),x)* member(first(f1(x,cross_product(f7(u,v),y))),second(w))*. % 299.97/300.41 33339[0:Res:3817.2,5064.1] || member(u,first(v)) equal(w,v) -> equal(x,cross_product(f5(u,v),y)) member(f1(x,cross_product(f5(u,v),y)),x)* member(first(f1(x,cross_product(f5(u,v),y))),second(w))*. % 299.97/300.41 33338[0:Res:3817.2,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(x,cross_product(f12(u,v),y)) member(f1(x,cross_product(f12(u,v),y)),x)* member(first(f1(x,cross_product(f12(u,v),y))),first(w))*. % 299.97/300.41 33337[0:Res:3817.2,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(x,cross_product(f9(u,v),y)) member(f1(x,cross_product(f9(u,v),y)),x)* member(first(f1(x,cross_product(f9(u,v),y))),first(w))*. % 299.97/300.41 33336[0:Res:3817.2,5020.1] || member(u,second(v)) equal(w,v) -> equal(x,cross_product(f6(u,v),y)) member(f1(x,cross_product(f6(u,v),y)),x)* member(first(f1(x,cross_product(f6(u,v),y))),first(w))*. % 299.97/300.41 33335[0:Res:3817.2,5019.1] || member(u,first(v)) equal(w,v) -> equal(x,cross_product(f4(u,v),y)) member(f1(x,cross_product(f4(u,v),y)),x)* member(first(f1(x,cross_product(f4(u,v),y))),first(w))*. % 299.97/300.41 33305[0:Res:3817.2,8.0] || -> equal(u,cross_product(non_ordered_pair(v,w),x)) member(f1(u,cross_product(non_ordered_pair(v,w),x)),u)* equal(first(f1(u,cross_product(non_ordered_pair(v,w),x))),w) equal(first(f1(u,cross_product(non_ordered_pair(v,w),x))),v). % 299.97/300.41 33285[0:Res:3817.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),cross_product(x,y)) member(first(f1(f7(u,v),cross_product(x,y))),x)* member(f1(f7(u,v),cross_product(x,y)),second(w))*. % 299.97/300.41 33284[0:Res:3817.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),cross_product(x,y)) member(first(f1(f5(u,v),cross_product(x,y))),x)* member(f1(f5(u,v),cross_product(x,y)),second(w))*. % 299.97/300.41 33283[0:Res:3817.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),cross_product(x,y)) member(first(f1(f12(u,v),cross_product(x,y))),x)* member(f1(f12(u,v),cross_product(x,y)),first(w))*. % 299.97/300.41 33282[0:Res:3817.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),cross_product(x,y)) member(first(f1(f9(u,v),cross_product(x,y))),x)* member(f1(f9(u,v),cross_product(x,y)),first(w))*. % 299.97/300.41 33281[0:Res:3817.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),cross_product(x,y)) member(first(f1(f6(u,v),cross_product(x,y))),x)* member(f1(f6(u,v),cross_product(x,y)),first(w))*. % 299.97/300.41 33280[0:Res:3817.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),cross_product(x,y)) member(first(f1(f4(u,v),cross_product(x,y))),x)* member(f1(f4(u,v),cross_product(x,y)),first(w))*. % 299.97/300.41 33250[0:Res:3817.1,1009.0] || subset(u,v) -> equal(converse(u),cross_product(w,x)) member(first(f1(converse(u),cross_product(w,x))),w) member(ordered_pair(second(f1(converse(u),cross_product(w,x))),first(f1(converse(u),cross_product(w,x)))),v)*. % 299.97/300.41 33656[0:Rew:108.1,33605.2,108.1,33605.1] || member(u,range_of(intersection(v,converse(non_ordered_pair(w,x))))) -> equal(ordered_pair(u,first(f27(u,intersection(v,converse(non_ordered_pair(w,x)))))),x)** equal(ordered_pair(u,first(f27(u,intersection(v,converse(non_ordered_pair(w,x)))))),w)**. % 299.97/300.41 33657[0:Rew:39.1,33601.2,39.1,33601.1] || member(u,domain_of(intersection(v,converse(non_ordered_pair(w,x))))) -> equal(ordered_pair(second(f8(u,intersection(v,converse(non_ordered_pair(w,x))))),u),x)** equal(ordered_pair(second(f8(u,intersection(v,converse(non_ordered_pair(w,x))))),u),w)**. % 299.97/300.41 33658[0:Rew:108.1,33572.2,108.1,33572.1] || member(u,range_of(intersection(converse(non_ordered_pair(v,w)),x))) -> equal(ordered_pair(u,first(f27(u,intersection(converse(non_ordered_pair(v,w)),x)))),w)** equal(ordered_pair(u,first(f27(u,intersection(converse(non_ordered_pair(v,w)),x)))),v)**. % 299.97/300.41 33659[0:Rew:39.1,33568.2,39.1,33568.1] || member(u,domain_of(intersection(converse(non_ordered_pair(v,w)),x))) -> equal(ordered_pair(second(f8(u,intersection(converse(non_ordered_pair(v,w)),x))),u),w)** equal(ordered_pair(second(f8(u,intersection(converse(non_ordered_pair(v,w)),x))),u),v)**. % 299.97/300.41 33726[3:Res:1008.2,6224.3] little_set(first(f27(f2(u),v))) single_valued_set(w) || member(f2(u),range_of(v)) member(f27(f2(u),v),converse(w))* member(u,w) -> equal(first(f27(f2(u),v)),f3(u)). % 299.97/300.41 33807[0:Res:5054.3,4284.1] little_set(u) little_set(v) || member(ordered_pair(f31(w,x,complement(second(ordered_pair(v,u)))),f30(w,x,complement(second(ordered_pair(v,u))))),u)* member(w,compose(x,complement(second(ordered_pair(v,u))))) -> . % 299.97/300.41 33806[0:Res:5009.3,4284.1] little_set(u) little_set(v) || member(ordered_pair(f31(w,x,complement(first(ordered_pair(v,u)))),f30(w,x,complement(first(ordered_pair(v,u))))),v)* member(w,compose(x,complement(first(ordered_pair(v,u))))) -> . % 299.97/300.41 33895[0:Res:5054.3,4359.1] little_set(u) little_set(v) || member(ordered_pair(f29(w,complement(second(ordered_pair(v,u))),x),f31(w,complement(second(ordered_pair(v,u))),x)),u)* member(w,compose(complement(second(ordered_pair(v,u))),x)) -> . % 299.97/300.41 33894[0:Res:5009.3,4359.1] little_set(u) little_set(v) || member(ordered_pair(f29(w,complement(first(ordered_pair(v,u))),x),f31(w,complement(first(ordered_pair(v,u))),x)),v)* member(w,compose(complement(first(ordered_pair(v,u))),x)) -> . % 299.97/300.41 34306[0:Res:281.1,1437.0] || -> disjoint(u,intersection(v,range_of(non_ordered_pair(w,x)))) equal(f27(f23(u,intersection(v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f27(f23(u,intersection(v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34273[0:Res:278.1,1437.0] || -> subset(intersection(u,range_of(non_ordered_pair(v,w))),x) equal(f27(f17(intersection(u,range_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),w)** equal(f27(f17(intersection(u,range_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34270[0:Res:277.1,1437.0] || -> disjoint(intersection(u,range_of(non_ordered_pair(v,w))),x) equal(f27(f23(intersection(u,range_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),w)** equal(f27(f23(intersection(u,range_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34268[0:Res:289.1,1437.0] || -> disjoint(u,intersection(range_of(non_ordered_pair(v,w)),x)) equal(f27(f23(u,intersection(range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f27(f23(u,intersection(range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34238[0:Res:285.1,1437.0] || -> disjoint(intersection(range_of(non_ordered_pair(u,v)),w),x) equal(f27(f23(intersection(range_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),v)** equal(f27(f23(intersection(range_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34236[0:Res:286.1,1437.0] || -> subset(intersection(range_of(non_ordered_pair(u,v)),w),x) equal(f27(f17(intersection(range_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),v)** equal(f27(f17(intersection(range_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34478[0:Res:281.1,1438.0] || -> disjoint(u,intersection(v,sigma(non_ordered_pair(w,x)))) equal(f16(f23(u,intersection(v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f16(f23(u,intersection(v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34445[0:Res:278.1,1438.0] || -> subset(intersection(u,sigma(non_ordered_pair(v,w))),x) equal(f16(f17(intersection(u,sigma(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),w)** equal(f16(f17(intersection(u,sigma(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34442[0:Res:277.1,1438.0] || -> disjoint(intersection(u,sigma(non_ordered_pair(v,w))),x) equal(f16(f23(intersection(u,sigma(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),w)** equal(f16(f23(intersection(u,sigma(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34440[0:Res:289.1,1438.0] || -> disjoint(u,intersection(sigma(non_ordered_pair(v,w)),x)) equal(f16(f23(u,intersection(sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f16(f23(u,intersection(sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34405[0:Res:285.1,1438.0] || -> disjoint(intersection(sigma(non_ordered_pair(u,v)),w),x) equal(f16(f23(intersection(sigma(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),v)** equal(f16(f23(intersection(sigma(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34403[0:Res:286.1,1438.0] || -> subset(intersection(sigma(non_ordered_pair(u,v)),w),x) equal(f16(f17(intersection(sigma(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),v)** equal(f16(f17(intersection(sigma(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34643[0:Res:281.1,1439.0] || -> disjoint(u,intersection(v,domain_of(non_ordered_pair(w,x)))) equal(f8(f23(u,intersection(v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f8(f23(u,intersection(v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34610[0:Res:278.1,1439.0] || -> subset(intersection(u,domain_of(non_ordered_pair(v,w))),x) equal(f8(f17(intersection(u,domain_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),w)** equal(f8(f17(intersection(u,domain_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34607[0:Res:277.1,1439.0] || -> disjoint(intersection(u,domain_of(non_ordered_pair(v,w))),x) equal(f8(f23(intersection(u,domain_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),w)** equal(f8(f23(intersection(u,domain_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34605[0:Res:289.1,1439.0] || -> disjoint(u,intersection(domain_of(non_ordered_pair(v,w)),x)) equal(f8(f23(u,intersection(domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f8(f23(u,intersection(domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34575[0:Res:285.1,1439.0] || -> disjoint(intersection(domain_of(non_ordered_pair(u,v)),w),x) equal(f8(f23(intersection(domain_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),v)** equal(f8(f23(intersection(domain_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34573[0:Res:286.1,1439.0] || -> subset(intersection(domain_of(non_ordered_pair(u,v)),w),x) equal(f8(f17(intersection(domain_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),v)** equal(f8(f17(intersection(domain_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34765[0:Res:5054.3,3673.0] little_set(u) little_set(v) || member(f17(w,intersection(x,second(ordered_pair(v,u)))),u)* member(f17(w,intersection(x,second(ordered_pair(v,u)))),x)* -> subset(w,intersection(x,second(ordered_pair(v,u)))). % 299.97/300.41 34764[0:Res:5009.3,3673.0] little_set(u) little_set(v) || member(f17(w,intersection(x,first(ordered_pair(v,u)))),v)* member(f17(w,intersection(x,first(ordered_pair(v,u)))),x)* -> subset(w,intersection(x,first(ordered_pair(v,u)))). % 299.97/300.41 34846[0:Res:5054.3,4166.1] little_set(u) little_set(v) || member(f1(second(ordered_pair(v,u)),non_ordered_pair(w,x)),u)* equal(f1(second(ordered_pair(v,u)),non_ordered_pair(w,x)),x) -> equal(second(ordered_pair(v,u)),non_ordered_pair(w,x)). % 299.97/300.41 34845[0:Res:5009.3,4166.1] little_set(u) little_set(v) || member(f1(first(ordered_pair(v,u)),non_ordered_pair(w,x)),v)* equal(f1(first(ordered_pair(v,u)),non_ordered_pair(w,x)),x) -> equal(first(ordered_pair(v,u)),non_ordered_pair(w,x)). % 299.97/300.41 34914[0:Res:5054.3,4167.1] little_set(u) little_set(v) || member(f1(second(ordered_pair(v,u)),non_ordered_pair(w,x)),u)* equal(f1(second(ordered_pair(v,u)),non_ordered_pair(w,x)),w) -> equal(second(ordered_pair(v,u)),non_ordered_pair(w,x)). % 299.97/300.41 34913[0:Res:5009.3,4167.1] little_set(u) little_set(v) || member(f1(first(ordered_pair(v,u)),non_ordered_pair(w,x)),v)* equal(f1(first(ordered_pair(v,u)),non_ordered_pair(w,x)),w) -> equal(first(ordered_pair(v,u)),non_ordered_pair(w,x)). % 299.97/300.41 35107[0:Res:554.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(cross_product(f29(u,v,w),y)) member(first(ordered_pair(f19(cross_product(f29(u,v,w),y)),f20(cross_product(f29(u,v,w),y)))),first(x))*. % 299.97/300.41 35106[0:Res:553.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(cross_product(f29(u,v,w),y)) member(first(ordered_pair(f19(cross_product(f29(u,v,w),y)),f21(cross_product(f29(u,v,w),y)))),first(x))*. % 299.97/300.41 35057[0:Res:541.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(cross_product(y,f29(u,v,w))) member(second(ordered_pair(f19(cross_product(y,f29(u,v,w))),f20(cross_product(y,f29(u,v,w))))),first(x))*. % 299.97/300.41 35056[0:Res:540.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(cross_product(y,f29(u,v,w))) member(second(ordered_pair(f19(cross_product(y,f29(u,v,w))),f21(cross_product(y,f29(u,v,w))))),first(x))*. % 299.97/300.41 35050[0:Res:3839.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(powerset(y),f29(u,v,w)) subset(f1(powerset(y),f29(u,v,w)),y)* member(f1(powerset(y),f29(u,v,w)),first(x))*. % 299.97/300.41 35011[0:Res:3821.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),powerset(y)) subset(f1(f29(u,v,w),powerset(y)),y)* member(f1(f29(u,v,w),powerset(y)),first(x))*. % 299.97/300.41 35277[0:Res:554.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(cross_product(f30(u,v,w),y)) member(first(ordered_pair(f19(cross_product(f30(u,v,w),y)),f20(cross_product(f30(u,v,w),y)))),second(x))*. % 299.97/300.41 35276[0:Res:553.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(cross_product(f30(u,v,w),y)) member(first(ordered_pair(f19(cross_product(f30(u,v,w),y)),f21(cross_product(f30(u,v,w),y)))),second(x))*. % 299.97/300.41 35227[0:Res:541.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(cross_product(y,f30(u,v,w))) member(second(ordered_pair(f19(cross_product(y,f30(u,v,w))),f20(cross_product(y,f30(u,v,w))))),second(x))*. % 299.97/300.41 35226[0:Res:540.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> single_valued_set(cross_product(y,f30(u,v,w))) member(second(ordered_pair(f19(cross_product(y,f30(u,v,w))),f21(cross_product(y,f30(u,v,w))))),second(x))*. % 299.97/300.41 35220[0:Res:3839.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(powerset(y),f30(u,v,w)) subset(f1(powerset(y),f30(u,v,w)),y)* member(f1(powerset(y),f30(u,v,w)),second(x))*. % 299.97/300.41 35181[0:Res:3821.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),powerset(y)) subset(f1(f30(u,v,w),powerset(y)),y)* member(f1(f30(u,v,w),powerset(y)),second(x))*. % 299.97/300.41 35335[0:Res:4273.2,1020.0] || member(u,compose(v,w)) subset(w,converse(intersection(x,y)))* -> member(ordered_pair(second(ordered_pair(f31(u,v,w),f30(u,v,w))),first(ordered_pair(f31(u,v,w),f30(u,v,w)))),x)*. % 299.97/300.41 35334[0:Res:4273.2,1021.0] || member(u,compose(v,w)) subset(w,converse(intersection(x,y)))* -> member(ordered_pair(second(ordered_pair(f31(u,v,w),f30(u,v,w))),first(ordered_pair(f31(u,v,w),f30(u,v,w)))),y)*. % 299.97/300.41 35455[0:Res:4348.2,1020.0] || member(u,compose(v,w)) subset(v,converse(intersection(x,y)))* -> member(ordered_pair(second(ordered_pair(f29(u,v,w),f31(u,v,w))),first(ordered_pair(f29(u,v,w),f31(u,v,w)))),x)*. % 299.97/300.41 35454[0:Res:4348.2,1021.0] || member(u,compose(v,w)) subset(v,converse(intersection(x,y)))* -> member(ordered_pair(second(ordered_pair(f29(u,v,w),f31(u,v,w))),first(ordered_pair(f29(u,v,w),f31(u,v,w)))),y)*. % 299.97/300.41 35633[3:MRR:35588.0,6237.1] || member(ordered_pair(second(f1(u,v)),first(f1(u,v))),sigma(w)) disjoint(converse(f16(ordered_pair(second(f1(u,v)),first(f1(u,v))),w)),v)* -> equal(u,v) member(f1(u,v),u). % 299.97/300.41 35634[3:MRR:35587.0,6237.1] || member(ordered_pair(second(f1(u,v)),first(f1(u,v))),sigma(w)) disjoint(converse(f16(ordered_pair(second(f1(u,v)),first(f1(u,v))),w)),u)* -> equal(u,v) member(f1(u,v),v). % 299.97/300.41 35792[3:MRR:35747.0,6237.1] || member(ordered_pair(second(f1(u,v)),first(f1(u,v))),first(w)) disjoint(converse(f4(ordered_pair(second(f1(u,v)),first(f1(u,v))),w)),v)* -> equal(u,v) member(f1(u,v),u). % 299.97/300.41 35793[3:MRR:35746.0,6237.1] || member(ordered_pair(second(f1(u,v)),first(f1(u,v))),first(w)) disjoint(converse(f4(ordered_pair(second(f1(u,v)),first(f1(u,v))),w)),u)* -> equal(u,v) member(f1(u,v),v). % 299.97/300.41 36011[3:MRR:35966.0,6237.1] || member(ordered_pair(second(f1(u,v)),first(f1(u,v))),second(w)) disjoint(converse(f7(ordered_pair(second(f1(u,v)),first(f1(u,v))),w)),v)* -> equal(u,v) member(f1(u,v),u). % 299.97/300.41 36012[3:MRR:35965.0,6237.1] || member(ordered_pair(second(f1(u,v)),first(f1(u,v))),second(w)) disjoint(converse(f7(ordered_pair(second(f1(u,v)),first(f1(u,v))),w)),u)* -> equal(u,v) member(f1(u,v),v). % 299.97/300.41 36610[0:Res:4622.2,5066.1] || member(u,flip_range_of(v)) subset(v,f30(w,x,y))* member(w,compose(x,y)) equal(z,w)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),second(z))*. % 299.97/300.41 36609[0:Res:4622.2,5025.1] || member(u,flip_range_of(v)) subset(v,f29(w,x,y))* member(w,compose(x,y)) equal(z,w)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),first(z))*. % 299.97/300.41 36561[3:Res:4622.2,6176.0] || member(u,flip_range_of(v)) subset(v,converse(w))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))))*. % 299.97/300.41 37038[0:Res:4770.2,5066.1] || member(u,rotate_right(v)) subset(v,f30(w,x,y))* member(w,compose(x,y)) equal(z,w)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),second(z))*. % 299.97/300.41 37037[0:Res:4770.2,5025.1] || member(u,rotate_right(v)) subset(v,f29(w,x,y))* member(w,compose(x,y)) equal(z,w)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),first(z))*. % 299.97/300.41 36989[3:Res:4770.2,6176.0] || member(u,rotate_right(v)) subset(v,converse(w))* -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))))*. % 299.97/300.41 38145[0:Res:33.2,4271.1] || member(ordered_pair(f31(u,v,w),f30(u,v,w)),x)* member(ordered_pair(f31(u,v,w),f30(u,v,w)),y)* member(u,compose(v,w)) disjoint(intersection(y,x),w)* -> . % 299.97/300.41 38144[0:Res:120.1,4271.1] || member(ordered_pair(f31(u,v,w),f30(u,v,w)),apply(x,y)) member(u,compose(v,w)) disjoint(second(f28(ordered_pair(f31(u,v,w),f30(u,v,w)),x,y)),w)* -> . % 299.97/300.41 38264[0:Res:33.2,4346.1] || member(ordered_pair(f29(u,v,w),f31(u,v,w)),x)* member(ordered_pair(f29(u,v,w),f31(u,v,w)),y)* member(u,compose(v,w)) disjoint(intersection(y,x),v)* -> . % 299.97/300.41 38263[0:Res:120.1,4346.1] || member(ordered_pair(f29(u,v,w),f31(u,v,w)),apply(x,y)) member(u,compose(v,w)) disjoint(second(f28(ordered_pair(f29(u,v,w),f31(u,v,w)),x,y)),v)* -> . % 299.97/300.41 39217[0:Res:67.1,4620.1] || member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),sigma(w)) member(u,flip_range_of(v)) disjoint(f16(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w),v)* -> . % 299.97/300.41 39216[0:Res:21.1,4620.1] || member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),first(w)) member(u,flip_range_of(v)) disjoint(f4(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w),v)* -> . % 299.97/300.41 39215[0:Res:26.1,4620.1] || member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),second(w)) member(u,flip_range_of(v)) disjoint(f7(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w),v)* -> . % 299.97/300.41 39737[0:Res:67.1,4768.1] || member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),sigma(w)) member(u,rotate_right(v)) disjoint(f16(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w),v)* -> . % 299.97/300.41 39736[0:Res:21.1,4768.1] || member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),first(w)) member(u,rotate_right(v)) disjoint(f4(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w),v)* -> . % 299.97/300.41 39735[0:Res:26.1,4768.1] || member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),second(w)) member(u,rotate_right(v)) disjoint(f7(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w),v)* -> . % 299.97/300.41 40264[0:Res:1007.2,5068.1] || member(u,domain_of(v)) member(f8(u,v),converse(ordered_pair(f10(w,x),f11(w,x))))* member(w,rotate_right(x)) equal(y,w)* -> member(ordered_pair(second(f8(u,v)),u),second(y))*. % 299.97/300.41 40263[0:Res:1008.2,5068.1] || member(u,range_of(v)) member(f27(u,v),converse(ordered_pair(f10(w,x),f11(w,x))))* member(w,rotate_right(x)) equal(y,w)* -> member(ordered_pair(u,first(f27(u,v))),second(y))*. % 299.97/300.41 40245[0:Res:427.1,5068.1] || member(u,range_of(intersection(v,ordered_pair(f10(w,x),f11(w,x))))) member(w,rotate_right(x)) equal(y,w) -> member(f27(u,intersection(v,ordered_pair(f10(w,x),f11(w,x)))),second(y))*. % 299.97/300.41 40243[0:Res:456.1,5068.1] || member(u,sigma(intersection(v,ordered_pair(f10(w,x),f11(w,x))))) member(w,rotate_right(x)) equal(y,w) -> member(f16(u,intersection(v,ordered_pair(f10(w,x),f11(w,x)))),second(y))*. % 299.97/300.41 40241[0:Res:494.1,5068.1] || member(u,domain_of(intersection(v,ordered_pair(f10(w,x),f11(w,x))))) member(w,rotate_right(x)) equal(y,w) -> member(f8(u,intersection(v,ordered_pair(f10(w,x),f11(w,x)))),second(y))*. % 299.97/300.41 40212[0:Res:426.1,5068.1] || member(u,range_of(intersection(ordered_pair(f10(v,w),f11(v,w)),x))) member(v,rotate_right(w)) equal(y,v) -> member(f27(u,intersection(ordered_pair(f10(v,w),f11(v,w)),x)),second(y))*. % 299.97/300.41 40210[0:Res:455.1,5068.1] || member(u,sigma(intersection(ordered_pair(f10(v,w),f11(v,w)),x))) member(v,rotate_right(w)) equal(y,v) -> member(f16(u,intersection(ordered_pair(f10(v,w),f11(v,w)),x)),second(y))*. % 299.97/300.41 40208[0:Res:493.1,5068.1] || member(u,domain_of(intersection(ordered_pair(f10(v,w),f11(v,w)),x))) member(v,rotate_right(w)) equal(y,v) -> member(f8(u,intersection(ordered_pair(f10(v,w),f11(v,w)),x)),second(y))*. % 299.97/300.41 40444[0:Res:1007.2,5070.1] || member(u,domain_of(v)) member(f8(u,v),converse(ordered_pair(f13(w,x),f14(w,x))))* member(w,flip_range_of(x)) equal(y,w)* -> member(ordered_pair(second(f8(u,v)),u),second(y))*. % 299.97/300.41 40443[0:Res:1008.2,5070.1] || member(u,range_of(v)) member(f27(u,v),converse(ordered_pair(f13(w,x),f14(w,x))))* member(w,flip_range_of(x)) equal(y,w)* -> member(ordered_pair(u,first(f27(u,v))),second(y))*. % 299.97/300.41 40425[0:Res:427.1,5070.1] || member(u,range_of(intersection(v,ordered_pair(f13(w,x),f14(w,x))))) member(w,flip_range_of(x)) equal(y,w) -> member(f27(u,intersection(v,ordered_pair(f13(w,x),f14(w,x)))),second(y))*. % 299.97/300.41 40423[0:Res:456.1,5070.1] || member(u,sigma(intersection(v,ordered_pair(f13(w,x),f14(w,x))))) member(w,flip_range_of(x)) equal(y,w) -> member(f16(u,intersection(v,ordered_pair(f13(w,x),f14(w,x)))),second(y))*. % 299.97/300.41 40421[0:Res:494.1,5070.1] || member(u,domain_of(intersection(v,ordered_pair(f13(w,x),f14(w,x))))) member(w,flip_range_of(x)) equal(y,w) -> member(f8(u,intersection(v,ordered_pair(f13(w,x),f14(w,x)))),second(y))*. % 299.97/300.41 40392[0:Res:426.1,5070.1] || member(u,range_of(intersection(ordered_pair(f13(v,w),f14(v,w)),x))) member(v,flip_range_of(w)) equal(y,v) -> member(f27(u,intersection(ordered_pair(f13(v,w),f14(v,w)),x)),second(y))*. % 299.97/300.41 40390[0:Res:455.1,5070.1] || member(u,sigma(intersection(ordered_pair(f13(v,w),f14(v,w)),x))) member(v,flip_range_of(w)) equal(y,v) -> member(f16(u,intersection(ordered_pair(f13(v,w),f14(v,w)),x)),second(y))*. % 299.97/300.41 40388[0:Res:493.1,5070.1] || member(u,domain_of(intersection(ordered_pair(f13(v,w),f14(v,w)),x))) member(v,flip_range_of(w)) equal(y,v) -> member(f8(u,intersection(ordered_pair(f13(v,w),f14(v,w)),x)),second(y))*. % 299.97/300.41 40728[0:Res:1468.2,1020.0] || member(u,image(v,w)) member(f22(u,v,w),converse(converse(intersection(x,y))))* -> member(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),x)*. % 299.97/300.41 40727[0:Res:1468.2,1021.0] || member(u,image(v,w)) member(f22(u,v,w),converse(converse(intersection(x,y))))* -> member(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),y)*. % 299.97/300.41 40874[0:Res:1464.2,1020.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(converse(intersection(x,y))))* -> member(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),x)*. % 299.97/300.41 40873[0:Res:1464.2,1021.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(converse(intersection(x,y))))* -> member(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),y)*. % 299.97/300.41 42047[3:Res:4115.1,6212.0] ordered_pair_predicate(u) || member(v,w)* equal(first(v),x)* -> member(u,converse(complement(converse(second(v)))))* member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),apply(w,x))*. % 299.97/300.41 42384[0:Res:4279.1,1354.0] || member(u,compose(v,cross_product(w,image(x,cross_product(y,z))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,image(x,cross_product(y,z)))),f30(u,v,cross_product(w,image(x,cross_product(y,z)))))),z)*. % 299.97/300.41 42495[0:Res:4278.1,1354.0] || member(u,compose(v,cross_product(image(w,cross_product(x,y)),z))) -> member(first(ordered_pair(f31(u,v,cross_product(image(w,cross_product(x,y)),z)),f30(u,v,cross_product(image(w,cross_product(x,y)),z)))),y)*. % 299.97/300.41 42642[0:Res:4354.1,1354.0] || member(u,compose(cross_product(v,image(w,cross_product(x,y))),z)) -> member(second(ordered_pair(f29(u,cross_product(v,image(w,cross_product(x,y))),z),f31(u,cross_product(v,image(w,cross_product(x,y))),z))),y)*. % 299.97/300.41 42784[0:Res:4353.1,1354.0] || member(u,compose(cross_product(image(v,cross_product(w,x)),y),z)) -> member(first(ordered_pair(f29(u,cross_product(image(v,cross_product(w,x)),y),z),f31(u,cross_product(image(v,cross_product(w,x)),y),z))),x)*. % 299.97/300.41 42981[0:Res:1274.2,1442.0] || member(u,apply(v,w)) subset(v,apply(non_ordered_pair(x,y),z)) -> equal(f28(f28(u,v,w),non_ordered_pair(x,y),z),y)** equal(f28(f28(u,v,w),non_ordered_pair(x,y),z),x)**. % 299.97/300.41 42979[0:Res:1339.2,1442.0] || member(u,image(v,w)) subset(w,apply(non_ordered_pair(x,y),z)) -> equal(f28(f22(u,v,w),non_ordered_pair(x,y),z),y)** equal(f28(f22(u,v,w),non_ordered_pair(x,y),z),x)**. % 299.97/300.41 42941[0:Res:4115.1,1442.0] ordered_pair_predicate(u) || -> member(u,converse(complement(apply(non_ordered_pair(v,w),x)))) equal(f28(ordered_pair(second(u),first(u)),non_ordered_pair(v,w),x),w)** equal(f28(ordered_pair(second(u),first(u)),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 43158[0:Res:1274.2,1443.0] || member(u,apply(v,w)) subset(v,image(x,non_ordered_pair(y,z))) -> equal(f22(f28(u,v,w),x,non_ordered_pair(y,z)),z)** equal(f22(f28(u,v,w),x,non_ordered_pair(y,z)),y)**. % 299.97/300.41 43156[0:Res:1339.2,1443.0] || member(u,image(v,w)) subset(w,image(x,non_ordered_pair(y,z))) -> equal(f22(f22(u,v,w),x,non_ordered_pair(y,z)),z)** equal(f22(f22(u,v,w),x,non_ordered_pair(y,z)),y)**. % 299.97/300.41 43118[0:Res:4115.1,1443.0] ordered_pair_predicate(u) || -> member(u,converse(complement(image(v,non_ordered_pair(w,x))))) equal(f22(ordered_pair(second(u),first(u)),v,non_ordered_pair(w,x)),x)** equal(f22(ordered_pair(second(u),first(u)),v,non_ordered_pair(w,x)),w)**. % 299.97/300.41 43356[0:Res:4108.2,3811.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),apply(v,w)) -> equal(x,u) member(f1(x,u),x)* member(f1(x,u),sigma(converse(second(f28(ordered_pair(second(u),first(u)),v,w)))))*. % 299.97/300.41 43355[0:Res:4108.2,3829.0] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),apply(v,w)) -> equal(u,x) member(f1(u,x),x)* member(f1(u,x),sigma(converse(second(f28(ordered_pair(second(u),first(u)),v,w)))))*. % 299.97/300.41 43459[3:MRR:43397.0,6173.1] || member(ordered_pair(second(f16(u,v)),first(f16(u,v))),apply(w,x)) member(u,sigma(v)) -> member(u,sigma(converse(second(f28(ordered_pair(second(f16(u,v)),first(f16(u,v))),w,x)))))*. % 299.97/300.41 43460[3:MRR:43396.0,6173.1] || member(ordered_pair(second(f16(u,v)),first(f16(u,v))),apply(w,x)) member(u,sigma(v)) disjoint(converse(second(f28(ordered_pair(second(f16(u,v)),first(f16(u,v))),w,x))),v)* -> . % 299.97/300.41 43570[0:SSi:43569.2,3910.0,371.2] little_set(u) little_set(v) little_set(w) little_set(x) single_valued_set(rotate_right(y)) || member(ordered_pair(v,ordered_pair(u,x)),y)* member(ordered_pair(x,w),rotate_right(y))* -> equal(w,ordered_pair(v,u))*. % 299.97/300.41 43737[0:SSi:43736.2,3910.0,371.2] little_set(u) little_set(v) little_set(w) little_set(x) single_valued_set(flip_range_of(y)) || member(ordered_pair(x,ordered_pair(u,v)),y)* member(ordered_pair(x,w),flip_range_of(y))* -> equal(w,ordered_pair(v,u))*. % 299.97/300.41 44246[3:Rew:95.1,44217.1] || member(u,image(v,w)) member(x,image(u,y)) member(f22(u,v,w),z)* equal(first(f22(u,v,w)),x1)* -> member(first(f22(x,u,y)),apply(z,x1))*. % 299.97/300.41 44343[0:Res:4635.1,274.0] || member(u,flip_range_of(intersection(v,restrict(w,x)))) -> member(ordered_pair(f12(u,intersection(v,restrict(w,x))),ordered_pair(f14(u,intersection(v,restrict(w,x))),f13(u,intersection(v,restrict(w,x))))),cross_product(x,universal_set))*. % 299.97/300.41 44398[0:MRR:44397.1,54.1] little_set(u) single_valued_set(v) || member(w,flip_range_of(intersection(x,v))) member(ordered_pair(f12(w,intersection(x,v)),u),v)* -> equal(u,ordered_pair(f14(w,intersection(x,v)),f13(w,intersection(x,v))))*. % 299.97/300.41 44598[0:Res:4634.1,274.0] || member(u,flip_range_of(intersection(restrict(v,w),x))) -> member(ordered_pair(f12(u,intersection(restrict(v,w),x)),ordered_pair(f14(u,intersection(restrict(v,w),x)),f13(u,intersection(restrict(v,w),x)))),cross_product(w,universal_set))*. % 299.97/300.41 44653[0:MRR:44652.1,54.1] little_set(u) single_valued_set(v) || member(w,flip_range_of(intersection(v,x))) member(ordered_pair(f12(w,intersection(v,x)),u),v)* -> equal(u,ordered_pair(f14(w,intersection(v,x)),f13(w,intersection(v,x))))*. % 299.97/300.41 45117[0:Res:4783.1,274.0] || member(u,rotate_right(intersection(v,restrict(w,x)))) -> member(ordered_pair(f10(u,intersection(v,restrict(w,x))),ordered_pair(f11(u,intersection(v,restrict(w,x))),f9(u,intersection(v,restrict(w,x))))),cross_product(x,universal_set))*. % 299.97/300.41 45172[0:MRR:45171.1,49.1] little_set(u) single_valued_set(v) || member(w,rotate_right(intersection(x,v))) member(ordered_pair(f10(w,intersection(x,v)),u),v)* -> equal(u,ordered_pair(f11(w,intersection(x,v)),f9(w,intersection(x,v))))*. % 299.97/300.41 46244[0:Res:4782.1,274.0] || member(u,rotate_right(intersection(restrict(v,w),x))) -> member(ordered_pair(f10(u,intersection(restrict(v,w),x)),ordered_pair(f11(u,intersection(restrict(v,w),x)),f9(u,intersection(restrict(v,w),x)))),cross_product(w,universal_set))*. % 299.97/300.41 46299[0:MRR:46298.1,49.1] little_set(u) single_valued_set(v) || member(w,rotate_right(intersection(v,x))) member(ordered_pair(f10(w,intersection(v,x)),u),v)* -> equal(u,ordered_pair(f11(w,intersection(v,x)),f9(w,intersection(v,x))))*. % 299.97/300.41 47282[0:Res:957.2,1558.0] || subset(u,image(non_ordered_pair(v,w),x)) -> single_valued_set(u) equal(first(f22(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w),x)),w)** equal(first(f22(ordered_pair(f19(u),f20(u)),non_ordered_pair(v,w),x)),v)**. % 299.97/300.41 47281[0:Res:956.2,1558.0] || subset(u,image(non_ordered_pair(v,w),x)) -> single_valued_set(u) equal(first(f22(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w),x)),w)** equal(first(f22(ordered_pair(f19(u),f21(u)),non_ordered_pair(v,w),x)),v)**. % 299.97/300.41 47408[0:Res:3837.1,274.0] || -> equal(non_ordered_pair(u,v),restrict(w,x)) equal(f1(non_ordered_pair(u,v),restrict(w,x)),v) equal(f1(non_ordered_pair(u,v),restrict(w,x)),u) member(f1(non_ordered_pair(u,v),restrict(w,x)),cross_product(x,universal_set))*. % 299.97/300.41 47853[0:Res:3819.1,274.0] || -> equal(restrict(u,v),non_ordered_pair(w,x)) equal(f1(restrict(u,v),non_ordered_pair(w,x)),x) equal(f1(restrict(u,v),non_ordered_pair(w,x)),w) member(f1(restrict(u,v),non_ordered_pair(w,x)),cross_product(v,universal_set))*. % 299.97/300.41 55855[16:Rew:54986.0,48721.4] little_set(u) || subset(f25,converse(second(v)))* member(v,w)* equal(first(v),x)* -> equal(u,a) member(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),apply(w,x))*. % 299.97/300.41 55856[16:Rew:54986.0,48718.2] little_set(u) || subset(f25,apply(non_ordered_pair(v,w),x)) -> equal(u,a) equal(f28(ordered_pair(u,f26(u)),non_ordered_pair(v,w),x),w)** equal(f28(ordered_pair(u,f26(u)),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 55857[16:Rew:54986.0,48715.2] little_set(u) || subset(f25,image(v,non_ordered_pair(w,x))) -> equal(u,a) equal(f22(ordered_pair(u,f26(u)),v,non_ordered_pair(w,x)),x)** equal(f22(ordered_pair(u,f26(u)),v,non_ordered_pair(w,x)),w)**. % 299.97/300.41 58784[16:Rew:54986.0,51313.0] || -> equal(converse(non_ordered_pair(u,v)),a) equal(ordered_pair(second(f24(converse(non_ordered_pair(u,v)))),first(f24(converse(non_ordered_pair(u,v))))),v)** equal(ordered_pair(second(f24(converse(non_ordered_pair(u,v)))),first(f24(converse(non_ordered_pair(u,v))))),u)**. % 299.97/300.41 58785[16:Rew:54986.0,51360.0] || -> equal(cross_product(range_of(non_ordered_pair(u,v)),w),a) equal(f27(first(f24(cross_product(range_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),v)** equal(f27(first(f24(cross_product(range_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),u)**. % 299.97/300.41 58786[16:Rew:54986.0,51361.0] || -> equal(cross_product(u,range_of(non_ordered_pair(v,w))),a) equal(f27(second(f24(cross_product(u,range_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f27(second(f24(cross_product(u,range_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 58787[16:Rew:54986.0,51373.0] || -> equal(cross_product(sigma(non_ordered_pair(u,v)),w),a) equal(f16(first(f24(cross_product(sigma(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),v)** equal(f16(first(f24(cross_product(sigma(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),u)**. % 299.97/300.41 58788[16:Rew:54986.0,51374.0] || -> equal(cross_product(u,sigma(non_ordered_pair(v,w))),a) equal(f16(second(f24(cross_product(u,sigma(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f16(second(f24(cross_product(u,sigma(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 58789[16:Rew:54986.0,51381.0] || -> equal(cross_product(domain_of(non_ordered_pair(u,v)),w),a) equal(f8(first(f24(cross_product(domain_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),v)** equal(f8(first(f24(cross_product(domain_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),u)**. % 299.97/300.41 58790[16:Rew:54986.0,51382.0] || -> equal(cross_product(u,domain_of(non_ordered_pair(v,w))),a) equal(f8(second(f24(cross_product(u,domain_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f8(second(f24(cross_product(u,domain_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 64077[3:Res:5054.3,18198.1] little_set(u) little_set(v) ordered_pair_predicate(w) || member(second(ordered_pair(second(w),first(w))),u)* member(first(ordered_pair(second(w),first(w))),x)* -> member(w,converse(cross_product(x,second(ordered_pair(v,u)))))*. % 299.97/300.41 64076[3:Res:5009.3,18198.1] little_set(u) little_set(v) ordered_pair_predicate(w) || member(second(ordered_pair(second(w),first(w))),v)* member(first(ordered_pair(second(w),first(w))),x)* -> member(w,converse(cross_product(x,first(ordered_pair(v,u)))))*. % 299.97/300.41 64065[3:Res:1079.2,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),v)* member(first(ordered_pair(second(u),first(u))),w)* -> member(u,converse(cross_product(w,singleton_set(v))))*. % 299.97/300.41 64064[3:Res:77.2,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || subset(second(ordered_pair(second(u),first(u))),v)* member(first(ordered_pair(second(u),first(u))),w)* -> member(u,converse(cross_product(w,powerset(v))))*. % 299.97/300.41 64254[0:Res:4628.1,43.0] || member(u,flip_range_of(cross_product(v,cross_product(w,x)))) -> member(second(second(ordered_pair(f12(u,cross_product(v,cross_product(w,x))),ordered_pair(f14(u,cross_product(v,cross_product(w,x))),f13(u,cross_product(v,cross_product(w,x))))))),x)*. % 299.97/300.41 64253[0:Res:4628.1,42.0] || member(u,flip_range_of(cross_product(v,cross_product(w,x)))) -> member(first(second(ordered_pair(f12(u,cross_product(v,cross_product(w,x))),ordered_pair(f14(u,cross_product(v,cross_product(w,x))),f13(u,cross_product(v,cross_product(w,x))))))),w)*. % 299.97/300.41 64361[0:Res:4627.1,43.0] || member(u,flip_range_of(cross_product(cross_product(v,w),x))) -> member(second(first(ordered_pair(f12(u,cross_product(cross_product(v,w),x)),ordered_pair(f14(u,cross_product(cross_product(v,w),x)),f13(u,cross_product(cross_product(v,w),x)))))),w)*. % 299.97/300.41 64360[0:Res:4627.1,42.0] || member(u,flip_range_of(cross_product(cross_product(v,w),x))) -> member(first(first(ordered_pair(f12(u,cross_product(cross_product(v,w),x)),ordered_pair(f14(u,cross_product(cross_product(v,w),x)),f13(u,cross_product(cross_product(v,w),x)))))),v)*. % 299.97/300.41 64510[0:Res:4776.1,43.0] || member(u,rotate_right(cross_product(v,cross_product(w,x)))) -> member(second(second(ordered_pair(f10(u,cross_product(v,cross_product(w,x))),ordered_pair(f11(u,cross_product(v,cross_product(w,x))),f9(u,cross_product(v,cross_product(w,x))))))),x)*. % 299.97/300.41 64509[0:Res:4776.1,42.0] || member(u,rotate_right(cross_product(v,cross_product(w,x)))) -> member(first(second(ordered_pair(f10(u,cross_product(v,cross_product(w,x))),ordered_pair(f11(u,cross_product(v,cross_product(w,x))),f9(u,cross_product(v,cross_product(w,x))))))),w)*. % 299.97/300.41 64620[0:Res:4775.1,43.0] || member(u,rotate_right(cross_product(cross_product(v,w),x))) -> member(second(first(ordered_pair(f10(u,cross_product(cross_product(v,w),x)),ordered_pair(f11(u,cross_product(cross_product(v,w),x)),f9(u,cross_product(cross_product(v,w),x)))))),w)*. % 299.97/300.41 64619[0:Res:4775.1,42.0] || member(u,rotate_right(cross_product(cross_product(v,w),x))) -> member(first(first(ordered_pair(f10(u,cross_product(cross_product(v,w),x)),ordered_pair(f11(u,cross_product(cross_product(v,w),x)),f9(u,cross_product(cross_product(v,w),x)))))),v)*. % 299.97/300.41 65367[16:MRR:65355.0,133.1] little_set(f26(f31(u,v,w))) single_valued_set(w) || subset(f25,w) member(u,compose(v,w)) -> equal(f31(u,v,w),a) equal(f26(f31(u,v,w)),f30(u,v,w))**. % 299.97/300.41 65370[0:SSi:65349.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f31(x,y,ordered_pair(v,w)),u),singleton_set(v))** member(x,compose(y,ordered_pair(v,w))) -> equal(u,f30(x,y,ordered_pair(v,w))). % 299.97/300.41 65584[16:MRR:65570.0,131.1] little_set(f26(f29(u,v,w))) single_valued_set(v) || subset(f25,v) member(u,compose(v,w)) -> equal(f29(u,v,w),a) equal(f26(f29(u,v,w)),f31(u,v,w))**. % 299.97/300.41 65587[0:SSi:65564.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f29(x,ordered_pair(v,w),y),u),singleton_set(v))** member(x,compose(ordered_pair(v,w),y)) -> equal(u,f31(x,ordered_pair(v,w),y)). % 299.97/300.41 66290[0:Res:33.2,6077.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(u,v),x)* member(ordered_pair(u,v),y)* member(ordered_pair(w,u),z)* -> member(ordered_pair(w,v),compose(z,intersection(y,x)))*. % 299.97/300.41 66289[0:Res:120.1,6077.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(u,v),apply(x,y)) member(ordered_pair(w,u),z) -> member(ordered_pair(w,v),compose(z,second(f28(ordered_pair(u,v),x,y))))*. % 299.97/300.41 66398[0:SSi:66397.3,3910.0,371.2] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(u,v)),y)* member(ordered_pair(x,w),z)* -> member(ordered_pair(x,ordered_pair(v,u)),compose(z,flip_range_of(y)))*. % 299.97/300.41 66400[0:SSi:66399.3,3910.0,371.2] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(v,ordered_pair(u,w)),y)* member(ordered_pair(x,w),z)* -> member(ordered_pair(x,ordered_pair(v,u)),compose(z,rotate_right(y)))*. % 299.97/300.41 66620[16:Res:55527.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u)) -> equal(singleton_set(ordered_pair(f2(u),ordered_pair(f3(u),v))),a) member(w,rotate_right(singleton_set(ordered_pair(f2(u),ordered_pair(f3(u),v)))))*. % 299.97/300.41 66780[16:Res:55527.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u)) -> equal(singleton_set(ordered_pair(v,ordered_pair(f3(u),f2(u)))),a) member(w,flip_range_of(singleton_set(ordered_pair(v,ordered_pair(f3(u),f2(u))))))*. % 299.97/300.41 67126[0:Res:67.1,5162.4] little_set(u) || member(first(f27(v,w)),sigma(x)) member(v,range_of(w)) member(f27(v,w),y) equal(v,u) -> member(u,image(f16(first(f27(v,w)),x),y))*. % 299.97/300.41 67125[0:Res:21.1,5162.4] little_set(u) || member(first(f27(v,w)),first(x)) member(v,range_of(w)) member(f27(v,w),y) equal(v,u) -> member(u,image(f4(first(f27(v,w)),x),y))*. % 299.97/300.41 67124[0:Res:26.1,5162.4] little_set(u) || member(first(f27(v,w)),second(x)) member(v,range_of(w)) member(f27(v,w),y) equal(v,u) -> member(u,image(f7(first(f27(v,w)),x),y))*. % 299.97/300.41 67119[0:Res:35.2,5162.4] little_set(first(f27(u,v))) little_set(w) || member(u,range_of(v)) member(f27(u,v),x)* equal(u,w)* -> member(first(f27(u,v)),y)* member(w,image(complement(y),x))*. % 299.97/300.41 67671[3:Res:6219.3,68.0] || member(u,compose(v,second(w))) member(w,x)* equal(first(w),y)* member(apply(x,y),z)* -> member(ordered_pair(f31(u,v,second(w)),f30(u,v,second(w))),sigma(z))*. % 299.97/300.41 67670[3:Res:6219.3,98.0] || member(u,compose(v,second(w))) member(w,x)* equal(first(w),y)* member(ordered_pair(f31(u,v,second(w)),f30(u,v,second(w))),z)* disjoint(z,apply(x,y))* -> . % 299.97/300.41 67729[3:Res:6220.3,68.0] || member(u,compose(second(v),w)) member(v,x)* equal(first(v),y)* member(apply(x,y),z)* -> member(ordered_pair(f29(u,second(v),w),f31(u,second(v),w)),sigma(z))*. % 299.97/300.41 67728[3:Res:6220.3,98.0] || member(u,compose(second(v),w)) member(v,x)* equal(first(v),y)* member(ordered_pair(f29(u,second(v),w),f31(u,second(v),w)),z)* disjoint(z,apply(x,y))* -> . % 299.97/300.41 67902[0:SSi:67868.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f29(x,y,z),u),singleton_set(v))* member(x,compose(y,z)) member(x,ordered_pair(v,w))* -> equal(u,f30(x,y,z)). % 299.97/300.41 68101[0:Res:5257.5,4238.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,compose(z,x1))* equal(x2,f33(y,w,x,u,v))* -> homomorphism(y,w,x,u,v) ordered_pair_predicate(x2)*. % 299.97/300.41 68091[0:Res:5257.5,68.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z)* member(z,x1)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),sigma(x1))*. % 299.97/300.41 68090[0:Res:5257.5,98.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z)* member(f33(y,w,x,u,v),x1)* disjoint(x1,z)* -> homomorphism(y,w,x,u,v). % 299.97/300.41 68204[0:Res:5302.5,4238.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,compose(z,x1))* equal(x2,f32(y,w,x,u,v))* -> homomorphism(y,w,x,u,v) ordered_pair_predicate(x2)*. % 299.97/300.41 68194[0:Res:5302.5,68.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z)* member(z,x1)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),sigma(x1))*. % 299.97/300.41 68193[0:Res:5302.5,98.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z)* member(f32(y,w,x,u,v),x1)* disjoint(x1,z)* -> homomorphism(y,w,x,u,v). % 299.97/300.41 68420[0:SSi:68382.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f9(x,y),u),w)* member(x,rotate_right(y)) member(x,non_ordered_pair(v,w))* -> equal(u,ordered_pair(f10(x,y),f11(x,y)))*. % 299.97/300.41 68421[0:SSi:68381.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f9(x,y),u),v)* member(x,rotate_right(y)) member(x,non_ordered_pair(v,w))* -> equal(u,ordered_pair(f10(x,y),f11(x,y)))*. % 299.97/300.41 68676[0:SSi:68632.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f12(x,y),u),w)* member(x,flip_range_of(y)) member(x,non_ordered_pair(v,w))* -> equal(u,ordered_pair(f13(x,y),f14(x,y)))*. % 299.97/300.41 68677[0:SSi:68631.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f12(x,y),u),v)* member(x,flip_range_of(y)) member(x,non_ordered_pair(v,w))* -> equal(u,ordered_pair(f13(x,y),f14(x,y)))*. % 299.97/300.41 68776[0:MRR:68760.0,5259.4] || equal(f33(u,complement(singleton_set(v)),w,x,y),v)** closed(x,y) closed(complement(singleton_set(v)),w) maps(u,complement(singleton_set(v)),x) -> homomorphism(u,complement(singleton_set(v)),w,x,y). % 299.97/300.41 68777[0:MRR:68759.0,5259.4] || subset(f33(u,complement(powerset(v)),w,x,y),v)* closed(x,y) closed(complement(powerset(v)),w) maps(u,complement(powerset(v)),x) -> homomorphism(u,complement(powerset(v)),w,x,y). % 299.97/300.41 68837[0:MRR:68821.0,5304.4] || equal(f32(u,complement(singleton_set(v)),w,x,y),v)** closed(x,y) closed(complement(singleton_set(v)),w) maps(u,complement(singleton_set(v)),x) -> homomorphism(u,complement(singleton_set(v)),w,x,y). % 299.97/300.41 68838[0:MRR:68820.0,5304.4] || subset(f32(u,complement(powerset(v)),w,x,y),v)* closed(x,y) closed(complement(powerset(v)),w) maps(u,complement(powerset(v)),x) -> homomorphism(u,complement(powerset(v)),w,x,y). % 299.97/300.41 69113[0:Res:5256.5,70.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z)* subset(sigma(z),x1)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),x1)*. % 299.97/300.41 69182[0:MRR:69166.0,5259.4] || equal(f33(u,v,w,x,y),non_ordered_pair(z,x1))* closed(x,y) closed(v,w) maps(u,v,x) disjoint(ordered_pair(z,x1),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.41 69319[0:Res:5301.5,70.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z)* subset(sigma(z),x1)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),x1)*. % 299.97/300.41 69419[0:MRR:69404.0,5304.4] || equal(f32(u,v,w,x,y),non_ordered_pair(z,x1))* closed(x,y) closed(v,w) maps(u,v,x) disjoint(ordered_pair(z,x1),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.41 69697[3:SpR:587.0,6221.3] || member(u,rotate_right(second(v))) member(v,w) equal(first(v),singleton_set(singleton_set(x))) -> member(ordered_pair(f10(u,second(v)),ordered_pair(f11(u,second(v)),f9(u,second(v)))),apply_to_two_arguments(w,x,x))*. % 299.97/300.41 69696[3:SpR:122.0,6221.3] || member(u,rotate_right(second(v))) member(v,w) equal(first(v),ordered_pair(x,y)) -> member(ordered_pair(f10(u,second(v)),ordered_pair(f11(u,second(v)),f9(u,second(v)))),apply_to_two_arguments(w,x,y))*. % 299.97/300.41 69993[3:SpR:587.0,6222.3] || member(u,flip_range_of(second(v))) member(v,w) equal(first(v),singleton_set(singleton_set(x))) -> member(ordered_pair(f12(u,second(v)),ordered_pair(f14(u,second(v)),f13(u,second(v)))),apply_to_two_arguments(w,x,x))*. % 299.97/300.41 69992[3:SpR:122.0,6222.3] || member(u,flip_range_of(second(v))) member(v,w) equal(first(v),ordered_pair(x,y)) -> member(ordered_pair(f12(u,second(v)),ordered_pair(f14(u,second(v)),f13(u,second(v)))),apply_to_two_arguments(w,x,y))*. % 299.97/300.41 70199[0:SSi:70182.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),singleton_set(y))* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(ordered_pair(y,z)))*. % 299.97/300.41 70277[0:SSi:70260.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),singleton_set(y))* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(ordered_pair(y,z)))*. % 299.97/300.41 70346[0:SSi:70308.0,371.0] little_set(u) || member(v,first(w)) equal(u,ordered_pair(ordered_pair(f5(v,w),f4(v,w)),w))* member(singleton_set(singleton_set(ordered_pair(f5(v,w),f4(v,w)))),x)* -> member(u,flip_range_of(x))*. % 299.97/300.41 70354[0:SSi:70332.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),singleton_set(y))* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(ordered_pair(y,z)))*. % 299.97/300.41 70417[0:SSi:70379.0,371.0] little_set(u) || member(v,second(w)) equal(u,ordered_pair(ordered_pair(f7(v,w),f6(v,w)),w))* member(singleton_set(singleton_set(ordered_pair(f7(v,w),f6(v,w)))),x)* -> member(u,flip_range_of(x))*. % 299.97/300.41 70425[0:SSi:70403.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),singleton_set(y))* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(ordered_pair(y,z)))*. % 299.97/300.41 70492[0:MRR:70469.0,1545.1] little_set(u) || equal(first(f22(v,w,x)),singleton_set(y))* member(v,image(w,x)) member(f22(v,w,x),z)* equal(v,u)* -> member(u,image(ordered_pair(y,x1),z))*. % 299.97/300.41 70921[0:SoR:5205.3,90.1] little_set(u) little_set(v) little_set(w) function(f16(ordered_pair(w,u),x)) || member(ordered_pair(w,u),sigma(x)) member(ordered_pair(w,v),f16(ordered_pair(w,u),x))* -> equal(v,u). % 299.97/300.41 70927[0:SoR:5204.3,90.1] little_set(u) little_set(v) little_set(w) function(f4(ordered_pair(w,u),x)) || member(ordered_pair(w,u),first(x)) member(ordered_pair(w,v),f4(ordered_pair(w,u),x))* -> equal(v,u). % 299.97/300.41 70953[0:SoR:5203.3,90.1] little_set(u) little_set(v) little_set(w) function(f7(ordered_pair(w,u),x)) || member(ordered_pair(w,u),second(x)) member(ordered_pair(w,v),f7(ordered_pair(w,u),x))* -> equal(v,u). % 299.97/300.41 71007[0:SSi:70984.0,371.0] little_set(u) little_set(v) || member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(ordered_pair(u,f5(w,x)),z)* member(v,compose(y,complement(z)))*. % 299.97/300.41 71078[0:SSi:71055.0,371.0] little_set(u) little_set(v) || member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(ordered_pair(u,f7(w,x)),z)* member(v,compose(y,complement(z)))*. % 299.97/300.41 71178[0:MRR:71147.0,132.1] little_set(u) || member(v,compose(w,x)) equal(u,ordered_pair(f30(v,w,x),v))* member(ordered_pair(f29(v,w,x),singleton_set(singleton_set(f30(v,w,x)))),y)* -> member(u,rotate_right(y))*. % 299.97/300.41 71179[0:SSi:71162.0,371.0,371.0] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z)* member(v,rotate_right(complement(z)))*. % 299.97/300.41 71312[0:SSi:71292.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z)* member(v,flip_range_of(complement(z)))*. % 299.97/300.41 71359[2:Res:5263.4,10966.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) member(second(f33(z,cross_product(w,x),y,u,v)),universal_set)*. % 299.97/300.41 71464[2:Res:5262.4,10966.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) member(first(f33(z,cross_product(w,x),y,u,v)),universal_set)*. % 299.97/300.41 71610[2:Res:5308.4,10966.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) member(second(f32(z,cross_product(w,x),y,u,v)),universal_set)*. % 299.97/300.41 71777[16:Res:56196.1,5236.4] little_set(u) single_valued_set(ordered_pair(universal_set,v)) || equal(ordered_pair(f9(w,x),u),a)** member(w,rotate_right(x)) member(w,ordered_pair(universal_set,v))* -> equal(u,ordered_pair(f10(w,x),f11(w,x)))*. % 299.97/300.41 71776[16:Res:56196.1,5238.4] little_set(u) single_valued_set(ordered_pair(universal_set,v)) || equal(ordered_pair(f12(w,x),u),a)** member(w,flip_range_of(x)) member(w,ordered_pair(universal_set,v))* -> equal(u,ordered_pair(f13(w,x),f14(w,x)))*. % 299.97/300.41 71863[2:Res:5307.4,10966.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) member(first(f32(z,cross_product(w,x),y,u,v)),universal_set)*. % 299.97/300.41 73994[0:MRR:73993.0,133.1] little_set(u) || member(v,compose(w,intersection(x,y))) equal(u,v)* member(ordered_pair(f29(v,w,intersection(x,y)),f31(v,w,intersection(x,y))),z)* -> member(u,compose(z,y))*. % 299.97/300.41 73996[0:MRR:73995.0,133.1] little_set(u) || member(v,compose(w,intersection(x,y))) equal(u,v)* member(ordered_pair(f29(v,w,intersection(x,y)),f31(v,w,intersection(x,y))),z)* -> member(u,compose(z,x))*. % 299.97/300.41 82852[16:Res:82637.1,6058.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(set_b))*. % 299.97/300.41 82851[16:Res:82637.1,5363.4] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(set_b))*. % 299.97/300.41 82842[16:Res:82637.1,6081.4] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),a) member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(v,compose(y,set_b))*. % 299.97/300.41 82841[16:Res:82637.1,6080.4] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),a) member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(v,compose(y,set_b))*. % 299.97/300.41 83005[3:Res:82638.1,6058.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(set_a))*. % 299.97/300.41 83004[3:Res:82638.1,5363.4] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(set_a))*. % 299.97/300.41 82995[3:Res:82638.1,6081.4] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),a) member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(v,compose(y,set_a))*. % 299.97/300.41 82994[3:Res:82638.1,6080.4] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),a) member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(v,compose(y,set_a))*. % 299.97/300.41 83160[16:Res:82641.1,6058.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(infinity))*. % 299.97/300.41 83159[16:Res:82641.1,5363.4] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(infinity))*. % 299.97/300.41 83150[16:Res:82641.1,6081.4] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),a) member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(v,compose(y,infinity))*. % 299.97/300.41 83149[16:Res:82641.1,6080.4] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),a) member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(v,compose(y,infinity))*. % 299.97/300.41 84010[16:Res:4775.1,83606.1] || member(u,rotate_right(cross_product(f24(powerset(v)),w))) subset(first(ordered_pair(f10(u,cross_product(f24(powerset(v)),w)),ordered_pair(f11(u,cross_product(f24(powerset(v)),w)),f9(u,cross_product(f24(powerset(v)),w))))),v)* -> . % 299.97/300.41 84009[16:Res:4627.1,83606.1] || member(u,flip_range_of(cross_product(f24(powerset(v)),w))) subset(first(ordered_pair(f12(u,cross_product(f24(powerset(v)),w)),ordered_pair(f14(u,cross_product(f24(powerset(v)),w)),f13(u,cross_product(f24(powerset(v)),w))))),v)* -> . % 299.97/300.41 83958[16:Res:142.3,83606.1] || closed(u,v) closed(f24(powerset(w)),x) maps(y,f24(powerset(w)),u) subset(f32(y,f24(powerset(w)),x,u,v),w)* -> homomorphism(y,f24(powerset(w)),x,u,v). % 299.97/300.41 83956[16:Res:143.3,83606.1] || closed(u,v) closed(f24(powerset(w)),x) maps(y,f24(powerset(w)),u) subset(f33(y,f24(powerset(w)),x,u,v),w)* -> homomorphism(y,f24(powerset(w)),x,u,v). % 299.97/300.41 83948[16:Res:4776.1,83606.1] || member(u,rotate_right(cross_product(v,f24(powerset(w))))) subset(second(ordered_pair(f10(u,cross_product(v,f24(powerset(w)))),ordered_pair(f11(u,cross_product(v,f24(powerset(w)))),f9(u,cross_product(v,f24(powerset(w))))))),w)* -> . % 299.97/300.41 83947[16:Res:4628.1,83606.1] || member(u,flip_range_of(cross_product(v,f24(powerset(w))))) subset(second(ordered_pair(f12(u,cross_product(v,f24(powerset(w)))),ordered_pair(f14(u,cross_product(v,f24(powerset(w)))),f13(u,cross_product(v,f24(powerset(w))))))),w)* -> . % 299.97/300.41 84200[2:Res:4775.1,25433.0] || member(u,rotate_right(cross_product(image(v,w),x))) subset(v,first(ordered_pair(f10(u,cross_product(image(v,w),x)),ordered_pair(f11(u,cross_product(image(v,w),x)),f9(u,cross_product(image(v,w),x))))))* -> . % 299.97/300.41 84199[2:Res:4627.1,25433.0] || member(u,flip_range_of(cross_product(image(v,w),x))) subset(v,first(ordered_pair(f12(u,cross_product(image(v,w),x)),ordered_pair(f14(u,cross_product(image(v,w),x)),f13(u,cross_product(image(v,w),x))))))* -> . % 299.97/300.41 84148[2:Res:142.3,25433.0] || closed(u,v) closed(image(w,x),y) maps(z,image(w,x),u) subset(w,f32(z,image(w,x),y,u,v))* -> homomorphism(z,image(w,x),y,u,v). % 299.97/300.41 84146[2:Res:143.3,25433.0] || closed(u,v) closed(image(w,x),y) maps(z,image(w,x),u) subset(w,f33(z,image(w,x),y,u,v))* -> homomorphism(z,image(w,x),y,u,v). % 299.97/300.41 84138[2:Res:4776.1,25433.0] || member(u,rotate_right(cross_product(v,image(w,x)))) subset(w,second(ordered_pair(f10(u,cross_product(v,image(w,x))),ordered_pair(f11(u,cross_product(v,image(w,x))),f9(u,cross_product(v,image(w,x)))))))* -> . % 299.97/300.41 84137[2:Res:4628.1,25433.0] || member(u,flip_range_of(cross_product(v,image(w,x)))) subset(w,second(ordered_pair(f12(u,cross_product(v,image(w,x))),ordered_pair(f14(u,cross_product(v,image(w,x))),f13(u,cross_product(v,image(w,x)))))))* -> . % 299.97/300.41 87638[16:Res:82665.1,5313.3] || equal(f32(u,complement(sigma(infinity)),v,w,x),a)** closed(w,x) closed(complement(sigma(infinity)),v) maps(u,complement(sigma(infinity)),w) -> homomorphism(u,complement(sigma(infinity)),v,w,x). % 299.97/300.41 87637[16:Res:82665.1,5268.3] || equal(f33(u,complement(sigma(infinity)),v,w,x),a)** closed(w,x) closed(complement(sigma(infinity)),v) maps(u,complement(sigma(infinity)),w) -> homomorphism(u,complement(sigma(infinity)),v,w,x). % 299.97/300.41 87792[16:Res:82681.1,5313.3] || equal(f32(u,complement(successor(a)),v,w,x),a)** closed(w,x) closed(complement(successor(a)),v) maps(u,complement(successor(a)),w) -> homomorphism(u,complement(successor(a)),v,w,x). % 299.97/300.41 87791[16:Res:82681.1,5268.3] || equal(f33(u,complement(successor(a)),v,w,x),a)** closed(w,x) closed(complement(successor(a)),v) maps(u,complement(successor(a)),w) -> homomorphism(u,complement(successor(a)),v,w,x). % 299.97/300.41 88158[3:Res:82671.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(v,ordered_pair(f3(u),f2(u))),infinity) equal(w,ordered_pair(v,u)) -> member(w,flip_range_of(singleton_set(ordered_pair(v,ordered_pair(f3(u),f2(u))))))*. % 299.97/300.41 88157[3:Res:82671.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(ordered_pair(f2(u),ordered_pair(f3(u),v)),infinity) equal(w,ordered_pair(v,u)) -> member(w,rotate_right(singleton_set(ordered_pair(f2(u),ordered_pair(f3(u),v)))))*. % 299.97/300.41 89265[0:Res:4783.1,14370.1] || member(u,rotate_right(intersection(v,converse(complement(w))))) member(ordered_pair(f10(u,intersection(v,converse(complement(w)))),ordered_pair(f11(u,intersection(v,converse(complement(w)))),f9(u,intersection(v,converse(complement(w)))))),converse(w))* -> . % 299.97/300.41 89263[0:Res:4635.1,14370.1] || member(u,flip_range_of(intersection(v,converse(complement(w))))) member(ordered_pair(f12(u,intersection(v,converse(complement(w)))),ordered_pair(f14(u,intersection(v,converse(complement(w)))),f13(u,intersection(v,converse(complement(w)))))),converse(w))* -> . % 299.97/300.41 89253[0:Res:4782.1,14370.1] || member(u,rotate_right(intersection(converse(complement(v)),w))) member(ordered_pair(f10(u,intersection(converse(complement(v)),w)),ordered_pair(f11(u,intersection(converse(complement(v)),w)),f9(u,intersection(converse(complement(v)),w)))),converse(v))* -> . % 299.97/300.41 89251[0:Res:4634.1,14370.1] || member(u,flip_range_of(intersection(converse(complement(v)),w))) member(ordered_pair(f12(u,intersection(converse(complement(v)),w)),ordered_pair(f14(u,intersection(converse(complement(v)),w)),f13(u,intersection(converse(complement(v)),w)))),converse(v))* -> . % 299.97/300.41 89245[0:Res:3837.1,14370.1] || member(f1(non_ordered_pair(u,v),converse(complement(w))),converse(w))* -> equal(non_ordered_pair(u,v),converse(complement(w))) equal(f1(non_ordered_pair(u,v),converse(complement(w))),v) equal(f1(non_ordered_pair(u,v),converse(complement(w))),u). % 299.97/300.41 89164[0:Res:3819.1,14370.1] || member(f1(converse(complement(u)),non_ordered_pair(v,w)),converse(u))* -> equal(converse(complement(u)),non_ordered_pair(v,w)) equal(f1(converse(complement(u)),non_ordered_pair(v,w)),w) equal(f1(converse(complement(u)),non_ordered_pair(v,w)),v). % 299.97/300.41 89712[16:MRR:89701.0,57707.1] little_set(u) single_valued_set(v) || member(f24(cross_product(w,x)),converse(v)) member(ordered_pair(second(f24(cross_product(w,x))),u),v)* -> equal(u,first(f24(cross_product(w,x)))) equal(cross_product(w,x),a). % 299.97/300.41 97770[0:Res:5302.5,2899.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,domain_of(singleton_set(z))) -> homomorphism(y,w,x,u,v) equal(f8(f32(y,w,x,u,v),singleton_set(z)),z)**. % 299.97/300.41 97769[0:Res:5257.5,2899.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,domain_of(singleton_set(z))) -> homomorphism(y,w,x,u,v) equal(f8(f33(y,w,x,u,v),singleton_set(z)),z)**. % 299.97/300.41 98007[0:Res:5302.5,2938.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,sigma(singleton_set(z))) -> homomorphism(y,w,x,u,v) equal(f16(f32(y,w,x,u,v),singleton_set(z)),z)**. % 299.97/300.41 98006[0:Res:5257.5,2938.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,sigma(singleton_set(z))) -> homomorphism(y,w,x,u,v) equal(f16(f33(y,w,x,u,v),singleton_set(z)),z)**. % 299.97/300.41 98226[0:Res:5302.5,2959.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(singleton_set(z))) -> homomorphism(y,w,x,u,v) equal(f27(f32(y,w,x,u,v),singleton_set(z)),z)**. % 299.97/300.41 98225[0:Res:5257.5,2959.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(singleton_set(z))) -> homomorphism(y,w,x,u,v) equal(f27(f33(y,w,x,u,v),singleton_set(z)),z)**. % 299.97/300.41 98440[0:Res:8090.0,1438.0] || -> subset(complement(complement(sigma(non_ordered_pair(u,v)))),w) equal(f16(f17(complement(complement(sigma(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),v)** equal(f16(f17(complement(complement(sigma(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),u)**. % 299.97/300.41 98409[0:Res:8090.0,1437.0] || -> subset(complement(complement(range_of(non_ordered_pair(u,v)))),w) equal(f27(f17(complement(complement(range_of(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),v)** equal(f27(f17(complement(complement(range_of(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),u)**. % 299.97/300.41 98406[0:Res:8090.0,1439.0] || -> subset(complement(complement(domain_of(non_ordered_pair(u,v)))),w) equal(f8(f17(complement(complement(domain_of(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),v)** equal(f8(f17(complement(complement(domain_of(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),u)**. % 299.97/300.41 98556[0:Res:9082.0,1438.0] || -> disjoint(u,complement(complement(sigma(non_ordered_pair(v,w))))) equal(f16(f23(u,complement(complement(sigma(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f16(f23(u,complement(complement(sigma(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 98525[0:Res:9082.0,1437.0] || -> disjoint(u,complement(complement(range_of(non_ordered_pair(v,w))))) equal(f27(f23(u,complement(complement(range_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f27(f23(u,complement(complement(range_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 98522[0:Res:9082.0,1439.0] || -> disjoint(u,complement(complement(domain_of(non_ordered_pair(v,w))))) equal(f8(f23(u,complement(complement(domain_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f8(f23(u,complement(complement(domain_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 98746[0:Res:9151.0,1438.0] || -> disjoint(complement(complement(sigma(non_ordered_pair(u,v)))),w) equal(f16(f23(complement(complement(sigma(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),v)** equal(f16(f23(complement(complement(sigma(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),u)**. % 299.97/300.41 98715[0:Res:9151.0,1437.0] || -> disjoint(complement(complement(range_of(non_ordered_pair(u,v)))),w) equal(f27(f23(complement(complement(range_of(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),v)** equal(f27(f23(complement(complement(range_of(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),u)**. % 299.97/300.41 98712[0:Res:9151.0,1439.0] || -> disjoint(complement(complement(domain_of(non_ordered_pair(u,v)))),w) equal(f8(f23(complement(complement(domain_of(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),v)** equal(f8(f23(complement(complement(domain_of(non_ordered_pair(u,v)))),w),non_ordered_pair(u,v)),u)**. % 299.97/300.41 99513[3:SSi:99366.0,5742.0,371.1] little_set(u) single_valued_set(converse(complement(v))) || member(w,rotate_right(x)) member(w,converse(complement(v))) -> member(ordered_pair(f9(w,x),u),converse(v))* equal(u,ordered_pair(f10(w,x),f11(w,x)))*. % 299.97/300.41 99514[3:SSi:99365.0,5742.0,371.1] little_set(u) single_valued_set(converse(complement(v))) || member(w,flip_range_of(x)) member(w,converse(complement(v))) -> member(ordered_pair(f12(w,x),u),converse(v))* equal(u,ordered_pair(f13(w,x),f14(w,x)))*. % 299.97/300.41 100819[16:Res:59048.1,1438.0] || -> equal(intersection(sigma(non_ordered_pair(u,v)),w),a) equal(f16(f1(intersection(sigma(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),v)** equal(f16(f1(intersection(sigma(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),u)**. % 299.97/300.41 100788[16:Res:59048.1,1437.0] || -> equal(intersection(range_of(non_ordered_pair(u,v)),w),a) equal(f27(f1(intersection(range_of(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),v)** equal(f27(f1(intersection(range_of(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),u)**. % 299.97/300.41 100785[16:Res:59048.1,1439.0] || -> equal(intersection(domain_of(non_ordered_pair(u,v)),w),a) equal(f8(f1(intersection(domain_of(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),v)** equal(f8(f1(intersection(domain_of(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),u)**. % 299.97/300.41 100936[16:Res:59049.1,1438.0] || -> equal(intersection(u,sigma(non_ordered_pair(v,w))),a) equal(f16(f1(intersection(u,sigma(non_ordered_pair(v,w))),a),non_ordered_pair(v,w)),w)** equal(f16(f1(intersection(u,sigma(non_ordered_pair(v,w))),a),non_ordered_pair(v,w)),v)**. % 299.97/300.41 100905[16:Res:59049.1,1437.0] || -> equal(intersection(u,range_of(non_ordered_pair(v,w))),a) equal(f27(f1(intersection(u,range_of(non_ordered_pair(v,w))),a),non_ordered_pair(v,w)),w)** equal(f27(f1(intersection(u,range_of(non_ordered_pair(v,w))),a),non_ordered_pair(v,w)),v)**. % 299.97/300.41 100902[16:Res:59049.1,1439.0] || -> equal(intersection(u,domain_of(non_ordered_pair(v,w))),a) equal(f8(f1(intersection(u,domain_of(non_ordered_pair(v,w))),a),non_ordered_pair(v,w)),w)** equal(f8(f1(intersection(u,domain_of(non_ordered_pair(v,w))),a),non_ordered_pair(v,w)),v)**. % 299.97/300.41 101037[16:Res:59050.1,1438.0] || -> equal(intersection(sigma(non_ordered_pair(u,v)),w),a) equal(f16(f1(a,intersection(sigma(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f16(f1(a,intersection(sigma(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 101006[16:Res:59050.1,1437.0] || -> equal(intersection(range_of(non_ordered_pair(u,v)),w),a) equal(f27(f1(a,intersection(range_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f27(f1(a,intersection(range_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 101003[16:Res:59050.1,1439.0] || -> equal(intersection(domain_of(non_ordered_pair(u,v)),w),a) equal(f8(f1(a,intersection(domain_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f8(f1(a,intersection(domain_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 101176[16:Res:59051.1,1438.0] || -> equal(intersection(u,sigma(non_ordered_pair(v,w))),a) equal(f16(f1(a,intersection(u,sigma(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),w)** equal(f16(f1(a,intersection(u,sigma(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 101145[16:Res:59051.1,1437.0] || -> equal(intersection(u,range_of(non_ordered_pair(v,w))),a) equal(f27(f1(a,intersection(u,range_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),w)** equal(f27(f1(a,intersection(u,range_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 101142[16:Res:59051.1,1439.0] || -> equal(intersection(u,domain_of(non_ordered_pair(v,w))),a) equal(f8(f1(a,intersection(u,domain_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),w)** equal(f8(f1(a,intersection(u,domain_of(non_ordered_pair(v,w)))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 101370[16:Res:59052.1,1438.0] || -> equal(restrict(sigma(non_ordered_pair(u,v)),w),a) equal(f16(f1(restrict(sigma(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),v)** equal(f16(f1(restrict(sigma(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),u)**. % 299.97/300.41 101339[16:Res:59052.1,1437.0] || -> equal(restrict(range_of(non_ordered_pair(u,v)),w),a) equal(f27(f1(restrict(range_of(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),v)** equal(f27(f1(restrict(range_of(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),u)**. % 299.97/300.41 101336[16:Res:59052.1,1439.0] || -> equal(restrict(domain_of(non_ordered_pair(u,v)),w),a) equal(f8(f1(restrict(domain_of(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),v)** equal(f8(f1(restrict(domain_of(non_ordered_pair(u,v)),w),a),non_ordered_pair(u,v)),u)**. % 299.97/300.41 101629[16:Res:59053.1,1438.0] || -> equal(restrict(sigma(non_ordered_pair(u,v)),w),a) equal(f16(f1(a,restrict(sigma(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f16(f1(a,restrict(sigma(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 101599[16:Res:59053.1,1437.0] || -> equal(restrict(range_of(non_ordered_pair(u,v)),w),a) equal(f27(f1(a,restrict(range_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f27(f1(a,restrict(range_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 101596[16:Res:59053.1,1439.0] || -> equal(restrict(domain_of(non_ordered_pair(u,v)),w),a) equal(f8(f1(a,restrict(domain_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),v)** equal(f8(f1(a,restrict(domain_of(non_ordered_pair(u,v)),w)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 103695[0:Res:5302.5,16184.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,domain_of(intersection(cross_product(z,x1),x2)))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),z)*. % 299.97/300.41 103694[0:Res:5257.5,16184.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,domain_of(intersection(cross_product(z,x1),x2)))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),z)*. % 299.97/300.41 103937[0:Res:5302.5,16416.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,domain_of(intersection(z,cross_product(x1,x2))))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),x1)*. % 299.97/300.41 103936[0:Res:5257.5,16416.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,domain_of(intersection(z,cross_product(x1,x2))))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),x1)*. % 299.97/300.41 104182[0:Res:5302.5,17439.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(intersection(cross_product(z,x1),x2)))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),x1)*. % 299.97/300.41 104181[0:Res:5257.5,17439.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(intersection(cross_product(z,x1),x2)))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),x1)*. % 299.97/300.41 104459[0:Res:5302.5,17546.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(intersection(z,cross_product(x1,x2))))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),x2)*. % 299.97/300.41 104458[0:Res:5257.5,17546.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(intersection(z,cross_product(x1,x2))))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),x2)*. % 299.97/300.41 104781[0:SSi:104639.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,rotate_right(y)) member(x,union(v,w))* -> member(ordered_pair(f9(x,y),u),complement(v))* equal(u,ordered_pair(f10(x,y),f11(x,y)))*. % 299.97/300.41 104782[0:SSi:104638.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,flip_range_of(y)) member(x,union(v,w))* -> member(ordered_pair(f12(x,y),u),complement(v))* equal(u,ordered_pair(f13(x,y),f14(x,y)))*. % 299.97/300.41 105127[0:SSi:104983.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,rotate_right(y)) member(x,union(v,w))* -> member(ordered_pair(f9(x,y),u),complement(w))* equal(u,ordered_pair(f10(x,y),f11(x,y)))*. % 299.97/300.41 105128[0:SSi:104982.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,flip_range_of(y)) member(x,union(v,w))* -> member(ordered_pair(f12(x,y),u),complement(w))* equal(u,ordered_pair(f13(x,y),f14(x,y)))*. % 299.97/300.41 105430[0:Res:5302.5,26698.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,apply(cross_product(z,x1),x2))* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),sigma(x1))*. % 299.97/300.41 105429[0:Res:5257.5,26698.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,apply(cross_product(z,x1),x2))* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),sigma(x1))*. % 299.97/300.41 105405[0:Res:4286.1,26698.0] || member(u,compose(v,intersection(w,apply(cross_product(x,y),z)))) -> member(ordered_pair(f31(u,v,intersection(w,apply(cross_product(x,y),z))),f30(u,v,intersection(w,apply(cross_product(x,y),z)))),sigma(y))*. % 299.97/300.41 105370[0:Res:4361.1,26698.0] || member(u,compose(intersection(v,apply(cross_product(w,x),y)),z)) -> member(ordered_pair(f29(u,intersection(v,apply(cross_product(w,x),y)),z),f31(u,intersection(v,apply(cross_product(w,x),y)),z)),sigma(x))*. % 299.97/300.41 105363[0:Res:4285.1,26698.0] || member(u,compose(v,intersection(apply(cross_product(w,x),y),z))) -> member(ordered_pair(f31(u,v,intersection(apply(cross_product(w,x),y),z)),f30(u,v,intersection(apply(cross_product(w,x),y),z))),sigma(x))*. % 299.97/300.41 105353[0:Res:4360.1,26698.0] || member(u,compose(intersection(apply(cross_product(v,w),x),y),z)) -> member(ordered_pair(f29(u,intersection(apply(cross_product(v,w),x),y),z),f31(u,intersection(apply(cross_product(v,w),x),y),z)),sigma(w))*. % 299.97/300.41 7959[0:Res:142.3,274.0] || closed(u,v) closed(restrict(w,x),y) maps(z,restrict(w,x),u) -> homomorphism(z,restrict(w,x),y,u,v) member(f32(z,restrict(w,x),y,u,v),cross_product(x,universal_set))*. % 299.97/300.41 7958[0:Res:143.3,274.0] || closed(u,v) closed(restrict(w,x),y) maps(z,restrict(w,x),u) -> homomorphism(z,restrict(w,x),y,u,v) member(f33(z,restrict(w,x),y,u,v),cross_product(x,universal_set))*. % 299.97/300.41 14805[0:Res:52.1,314.0] || member(u,rotate_right(intersection(complement(v),complement(w)))) member(ordered_pair(f10(u,intersection(complement(v),complement(w))),ordered_pair(f11(u,intersection(complement(v),complement(w))),f9(u,intersection(complement(v),complement(w))))),union(v,w))* -> . % 299.97/300.41 14804[0:Res:58.1,314.0] || member(u,flip_range_of(intersection(complement(v),complement(w)))) member(ordered_pair(f12(u,intersection(complement(v),complement(w))),ordered_pair(f14(u,intersection(complement(v),complement(w))),f13(u,intersection(complement(v),complement(w))))),union(v,w))* -> . % 299.97/300.41 24350[0:Res:288.1,1163.0] || member(u,v) -> single_valued_set(intersection(converse(u),w)) member(ordered_pair(second(ordered_pair(f19(intersection(converse(u),w)),f20(intersection(converse(u),w)))),first(ordered_pair(f19(intersection(converse(u),w)),f20(intersection(converse(u),w))))),sigma(v))*. % 299.97/300.41 24349[0:Res:287.1,1163.0] || member(u,v) -> single_valued_set(intersection(converse(u),w)) member(ordered_pair(second(ordered_pair(f19(intersection(converse(u),w)),f21(intersection(converse(u),w)))),first(ordered_pair(f19(intersection(converse(u),w)),f21(intersection(converse(u),w))))),sigma(v))*. % 299.97/300.41 24346[0:Res:280.1,1163.0] || member(u,v) -> single_valued_set(intersection(w,converse(u))) member(ordered_pair(second(ordered_pair(f19(intersection(w,converse(u))),f20(intersection(w,converse(u))))),first(ordered_pair(f19(intersection(w,converse(u))),f20(intersection(w,converse(u)))))),sigma(v))*. % 299.97/300.41 24345[0:Res:279.1,1163.0] || member(u,v) -> single_valued_set(intersection(w,converse(u))) member(ordered_pair(second(ordered_pair(f19(intersection(w,converse(u))),f21(intersection(w,converse(u))))),first(ordered_pair(f19(intersection(w,converse(u))),f21(intersection(w,converse(u)))))),sigma(v))*. % 299.97/300.41 25775[0:Res:1344.1,1014.0] || member(u,image(v,cross_product(converse(cross_product(w,x)),y))) -> member(first(ordered_pair(second(first(f22(u,v,cross_product(converse(cross_product(w,x)),y)))),first(first(f22(u,v,cross_product(converse(cross_product(w,x)),y)))))),w)*. % 299.97/300.41 25774[0:Res:1344.1,1015.0] || member(u,image(v,cross_product(converse(cross_product(w,x)),y))) -> member(second(ordered_pair(second(first(f22(u,v,cross_product(converse(cross_product(w,x)),y)))),first(first(f22(u,v,cross_product(converse(cross_product(w,x)),y)))))),x)*. % 299.97/300.41 25912[0:Res:1555.1,1014.0] || member(u,image(intersection(converse(cross_product(v,w)),x),y)) -> member(first(ordered_pair(second(first(f22(u,intersection(converse(cross_product(v,w)),x),y))),first(first(f22(u,intersection(converse(cross_product(v,w)),x),y))))),v)*. % 299.97/300.41 25911[0:Res:1555.1,1015.0] || member(u,image(intersection(converse(cross_product(v,w)),x),y)) -> member(second(ordered_pair(second(first(f22(u,intersection(converse(cross_product(v,w)),x),y))),first(first(f22(u,intersection(converse(cross_product(v,w)),x),y))))),w)*. % 299.97/300.41 26069[0:Res:1556.1,1014.0] || member(u,image(intersection(v,converse(cross_product(w,x))),y)) -> member(first(ordered_pair(second(first(f22(u,intersection(v,converse(cross_product(w,x))),y))),first(first(f22(u,intersection(v,converse(cross_product(w,x))),y))))),w)*. % 299.97/300.41 26068[0:Res:1556.1,1015.0] || member(u,image(intersection(v,converse(cross_product(w,x))),y)) -> member(second(ordered_pair(second(first(f22(u,intersection(v,converse(cross_product(w,x))),y))),first(first(f22(u,intersection(v,converse(cross_product(w,x))),y))))),x)*. % 299.97/300.41 26139[0:Res:1280.1,1014.0] || member(u,apply(cross_product(v,converse(cross_product(w,x))),y)) -> member(first(ordered_pair(second(second(f28(u,cross_product(v,converse(cross_product(w,x))),y))),first(second(f28(u,cross_product(v,converse(cross_product(w,x))),y))))),w)*. % 299.97/300.41 26138[0:Res:1280.1,1015.0] || member(u,apply(cross_product(v,converse(cross_product(w,x))),y)) -> member(second(ordered_pair(second(second(f28(u,cross_product(v,converse(cross_product(w,x))),y))),first(second(f28(u,cross_product(v,converse(cross_product(w,x))),y))))),x)*. % 299.97/300.41 26673[0:Res:378.3,1562.1] ordered_pair_predicate(second(f28(u,v,w))) || member(second(second(f28(u,v,w))),x)* member(first(second(f28(u,v,w))),y)* member(u,apply(v,w)) -> member(u,sigma(cross_product(y,x)))*. % 299.97/300.41 27081[0:Res:1549.1,1421.0] || member(u,image(cross_product(ordered_pair(v,w),x),y)) -> equal(first(first(f22(u,cross_product(ordered_pair(v,w),x),y))),non_ordered_pair(v,w))** equal(first(first(f22(u,cross_product(ordered_pair(v,w),x),y))),singleton_set(v)). % 299.97/300.41 27054[0:Res:1549.1,1163.0] || member(u,image(cross_product(converse(v),w),x)) member(v,y) -> member(ordered_pair(second(first(first(f22(u,cross_product(converse(v),w),x)))),first(first(first(f22(u,cross_product(converse(v),w),x))))),sigma(y))*. % 299.97/300.41 27226[0:Res:1550.1,1421.0] || member(u,image(cross_product(v,ordered_pair(w,x)),y)) -> equal(second(first(f22(u,cross_product(v,ordered_pair(w,x)),y))),non_ordered_pair(w,x))** equal(second(first(f22(u,cross_product(v,ordered_pair(w,x)),y))),singleton_set(w)). % 299.97/300.41 27199[0:Res:1550.1,1163.0] || member(u,image(cross_product(v,converse(w)),x)) member(w,y) -> member(ordered_pair(second(second(first(f22(u,cross_product(v,converse(w)),x)))),first(second(first(f22(u,cross_product(v,converse(w)),x))))),sigma(y))*. % 299.97/300.41 28619[0:Res:1351.1,3811.0] || member(u,image(v,intersection(w,x))) -> equal(y,f22(u,v,intersection(w,x))) member(f1(y,f22(u,v,intersection(w,x))),y)* member(f1(y,f22(u,v,intersection(w,x))),sigma(x))*. % 299.97/300.41 28603[0:Res:1543.2,3811.0] || member(u,image(v,w)) member(v,x) -> equal(y,first(f22(u,v,w))) member(f1(y,first(f22(u,v,w))),y)* member(f1(y,first(f22(u,v,w))),sigma(sigma(x)))*. % 299.97/300.41 28546[0:Res:1286.1,3811.0] || member(u,apply(intersection(v,w),x)) -> equal(y,f28(u,intersection(v,w),x)) member(f1(y,f28(u,intersection(v,w),x)),y)* member(f1(y,f28(u,intersection(v,w),x)),sigma(w))*. % 299.97/300.41 28536[0:Res:1350.1,3811.0] || member(u,image(v,intersection(w,x))) -> equal(y,f22(u,v,intersection(w,x))) member(f1(y,f22(u,v,intersection(w,x))),y)* member(f1(y,f22(u,v,intersection(w,x))),sigma(w))*. % 299.97/300.41 28518[0:Res:1285.1,3811.0] || member(u,apply(intersection(v,w),x)) -> equal(y,f28(u,intersection(v,w),x)) member(f1(y,f28(u,intersection(v,w),x)),y)* member(f1(y,f28(u,intersection(v,w),x)),sigma(v))*. % 299.97/300.41 28998[0:Res:1351.1,3829.0] || member(u,image(v,intersection(w,x))) -> equal(f22(u,v,intersection(w,x)),y) member(f1(f22(u,v,intersection(w,x)),y),y)* member(f1(f22(u,v,intersection(w,x)),y),sigma(x))*. % 299.97/300.41 28981[0:Res:1543.2,3829.0] || member(u,image(v,w)) member(v,x) -> equal(first(f22(u,v,w)),y) member(f1(first(f22(u,v,w)),y),y)* member(f1(first(f22(u,v,w)),y),sigma(sigma(x)))*. % 299.97/300.41 28923[0:Res:1286.1,3829.0] || member(u,apply(intersection(v,w),x)) -> equal(f28(u,intersection(v,w),x),y) member(f1(f28(u,intersection(v,w),x),y),y)* member(f1(f28(u,intersection(v,w),x),y),sigma(w))*. % 299.97/300.41 28913[0:Res:1350.1,3829.0] || member(u,image(v,intersection(w,x))) -> equal(f22(u,v,intersection(w,x)),y) member(f1(f22(u,v,intersection(w,x)),y),y)* member(f1(f22(u,v,intersection(w,x)),y),sigma(w))*. % 299.97/300.41 28895[0:Res:1285.1,3829.0] || member(u,apply(intersection(v,w),x)) -> equal(f28(u,intersection(v,w),x),y) member(f1(f28(u,intersection(v,w),x),y),y)* member(f1(f28(u,intersection(v,w),x),y),sigma(v))*. % 299.97/300.41 31436[0:Res:3824.2,1421.0] || -> equal(u,intersection(ordered_pair(v,w),x)) member(f1(u,intersection(ordered_pair(v,w),x)),u)* equal(f1(u,intersection(ordered_pair(v,w),x)),non_ordered_pair(v,w)) equal(f1(u,intersection(ordered_pair(v,w),x)),singleton_set(v)). % 299.97/300.41 31378[0:Res:3824.1,1421.0] || -> equal(ordered_pair(u,v),intersection(w,x)) member(f1(ordered_pair(u,v),intersection(w,x)),w)* equal(f1(ordered_pair(u,v),intersection(w,x)),non_ordered_pair(u,v)) equal(f1(ordered_pair(u,v),intersection(w,x)),singleton_set(u)). % 299.97/300.41 31646[0:Res:3825.2,1421.0] || -> equal(u,intersection(v,ordered_pair(w,x))) member(f1(u,intersection(v,ordered_pair(w,x))),u)* equal(f1(u,intersection(v,ordered_pair(w,x))),non_ordered_pair(w,x)) equal(f1(u,intersection(v,ordered_pair(w,x))),singleton_set(w)). % 299.97/300.41 31588[0:Res:3825.1,1421.0] || -> equal(ordered_pair(u,v),intersection(w,x)) member(f1(ordered_pair(u,v),intersection(w,x)),x)* equal(f1(ordered_pair(u,v),intersection(w,x)),non_ordered_pair(u,v)) equal(f1(ordered_pair(u,v),intersection(w,x)),singleton_set(u)). % 299.97/300.41 31829[0:Res:3842.2,1421.0] || -> equal(intersection(ordered_pair(u,v),w),x) member(f1(intersection(ordered_pair(u,v),w),x),x)* equal(f1(intersection(ordered_pair(u,v),w),x),non_ordered_pair(u,v)) equal(f1(intersection(ordered_pair(u,v),w),x),singleton_set(u)). % 299.97/300.41 31771[0:Res:3842.1,1421.0] || -> equal(intersection(u,v),ordered_pair(w,x)) member(f1(intersection(u,v),ordered_pair(w,x)),u)* equal(f1(intersection(u,v),ordered_pair(w,x)),non_ordered_pair(w,x)) equal(f1(intersection(u,v),ordered_pair(w,x)),singleton_set(w)). % 299.97/300.41 32010[0:Res:3843.2,1421.0] || -> equal(intersection(u,ordered_pair(v,w)),x) member(f1(intersection(u,ordered_pair(v,w)),x),x)* equal(f1(intersection(u,ordered_pair(v,w)),x),non_ordered_pair(v,w)) equal(f1(intersection(u,ordered_pair(v,w)),x),singleton_set(v)). % 299.97/300.41 31952[0:Res:3843.1,1421.0] || -> equal(intersection(u,v),ordered_pair(w,x)) member(f1(intersection(u,v),ordered_pair(w,x)),v)* equal(f1(intersection(u,v),ordered_pair(w,x)),non_ordered_pair(w,x)) equal(f1(intersection(u,v),ordered_pair(w,x)),singleton_set(w)). % 299.97/300.41 32805[0:Res:3836.2,1009.0] || subset(u,v) -> equal(cross_product(w,converse(u)),x) member(f1(cross_product(w,converse(u)),x),x) member(ordered_pair(second(second(f1(cross_product(w,converse(u)),x))),first(second(f1(cross_product(w,converse(u)),x)))),v)*. % 299.97/300.41 32747[0:Res:3836.1,1163.0] || member(u,v) -> equal(cross_product(w,x),converse(u)) member(second(f1(cross_product(w,x),converse(u))),x) member(ordered_pair(second(f1(cross_product(w,x),converse(u))),first(f1(cross_product(w,x),converse(u)))),sigma(v))*. % 299.97/300.41 32970[0:Res:3835.2,1009.0] || subset(u,v) -> equal(cross_product(converse(u),w),x) member(f1(cross_product(converse(u),w),x),x) member(ordered_pair(second(first(f1(cross_product(converse(u),w),x))),first(first(f1(cross_product(converse(u),w),x)))),v)*. % 299.97/300.41 32912[0:Res:3835.1,1163.0] || member(u,v) -> equal(cross_product(w,x),converse(u)) member(first(f1(cross_product(w,x),converse(u))),w) member(ordered_pair(second(f1(cross_product(w,x),converse(u))),first(f1(cross_product(w,x),converse(u)))),sigma(v))*. % 299.97/300.41 33141[0:Res:3818.2,1009.0] || subset(u,v) -> equal(w,cross_product(x,converse(u))) member(f1(w,cross_product(x,converse(u))),w) member(ordered_pair(second(second(f1(w,cross_product(x,converse(u))))),first(second(f1(w,cross_product(x,converse(u)))))),v)*. % 299.97/300.41 33083[0:Res:3818.1,1163.0] || member(u,v) -> equal(converse(u),cross_product(w,x)) member(second(f1(converse(u),cross_product(w,x))),x) member(ordered_pair(second(f1(converse(u),cross_product(w,x))),first(f1(converse(u),cross_product(w,x)))),sigma(v))*. % 299.97/300.41 33307[0:Res:3817.2,1009.0] || subset(u,v) -> equal(w,cross_product(converse(u),x)) member(f1(w,cross_product(converse(u),x)),w) member(ordered_pair(second(first(f1(w,cross_product(converse(u),x)))),first(first(f1(w,cross_product(converse(u),x))))),v)*. % 299.97/300.41 33249[0:Res:3817.1,1163.0] || member(u,v) -> equal(converse(u),cross_product(w,x)) member(first(f1(converse(u),cross_product(w,x))),w) member(ordered_pair(second(f1(converse(u),cross_product(w,x))),first(f1(converse(u),cross_product(w,x)))),sigma(v))*. % 299.97/300.41 33714[3:Res:120.1,6224.3] little_set(u) single_valued_set(second(f28(ordered_pair(f2(v),u),w,x))) || member(ordered_pair(f2(v),u),apply(w,x)) member(v,second(f28(ordered_pair(f2(v),u),w,x)))* -> equal(u,f3(v)). % 299.97/300.41 34265[0:Res:94.1,1437.0] || member(u,image(range_of(non_ordered_pair(v,w)),x)) -> equal(f27(first(f22(u,range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f27(first(f22(u,range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34437[0:Res:94.1,1438.0] || member(u,image(sigma(non_ordered_pair(v,w)),x)) -> equal(f16(first(f22(u,sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f16(first(f22(u,sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34602[0:Res:94.1,1439.0] || member(u,image(domain_of(non_ordered_pair(v,w)),x)) -> equal(f8(first(f22(u,domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f8(first(f22(u,domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34754[0:Res:33.2,3673.0] || member(f17(u,intersection(v,intersection(w,x))),x)* member(f17(u,intersection(v,intersection(w,x))),w)* member(f17(u,intersection(v,intersection(w,x))),v)* -> subset(u,intersection(v,intersection(w,x))). % 299.97/300.41 34838[0:Res:33.2,4166.1] || member(f1(intersection(u,v),non_ordered_pair(w,x)),v)* member(f1(intersection(u,v),non_ordered_pair(w,x)),u)* equal(f1(intersection(u,v),non_ordered_pair(w,x)),x) -> equal(intersection(u,v),non_ordered_pair(w,x)). % 299.97/300.41 34906[0:Res:33.2,4167.1] || member(f1(intersection(u,v),non_ordered_pair(w,x)),v)* member(f1(intersection(u,v),non_ordered_pair(w,x)),u)* equal(f1(intersection(u,v),non_ordered_pair(w,x)),w) -> equal(intersection(u,v),non_ordered_pair(w,x)). % 299.97/300.41 35096[0:Res:136.1,5025.1] || member(u,compose(v,f29(w,x,y))) member(w,compose(x,y)) equal(z,w) -> member(ordered_pair(f31(u,v,f29(w,x,y)),f30(u,v,f29(w,x,y))),first(z))*. % 299.97/300.41 35088[0:Res:135.1,5025.1] || member(u,compose(f29(v,w,x),y)) member(v,compose(w,x)) equal(z,v) -> member(ordered_pair(f29(u,f29(v,w,x),y),f31(u,f29(v,w,x),y)),first(z))*. % 299.97/300.41 35266[0:Res:136.1,5066.1] || member(u,compose(v,f30(w,x,y))) member(w,compose(x,y)) equal(z,w) -> member(ordered_pair(f31(u,v,f30(w,x,y)),f30(u,v,f30(w,x,y))),second(z))*. % 299.97/300.41 35258[0:Res:135.1,5066.1] || member(u,compose(f30(v,w,x),y)) member(v,compose(w,x)) equal(z,v) -> member(ordered_pair(f29(u,f30(v,w,x),y),f31(u,f30(v,w,x),y)),second(z))*. % 299.97/300.41 35369[0:Res:4273.2,1421.0] || member(u,compose(v,w)) subset(w,ordered_pair(x,y))* -> equal(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y))* equal(ordered_pair(f31(u,v,w),f30(u,v,w)),singleton_set(x)). % 299.97/300.41 35337[0:Res:4273.2,1014.0] || member(u,compose(v,w)) subset(w,converse(cross_product(x,y)))* -> member(first(ordered_pair(second(ordered_pair(f31(u,v,w),f30(u,v,w))),first(ordered_pair(f31(u,v,w),f30(u,v,w))))),x)*. % 299.97/300.41 35336[0:Res:4273.2,1015.0] || member(u,compose(v,w)) subset(w,converse(cross_product(x,y)))* -> member(second(ordered_pair(second(ordered_pair(f31(u,v,w),f30(u,v,w))),first(ordered_pair(f31(u,v,w),f30(u,v,w))))),y)*. % 299.97/300.41 35489[0:Res:4348.2,1421.0] || member(u,compose(v,w)) subset(v,ordered_pair(x,y))* -> equal(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y))* equal(ordered_pair(f29(u,v,w),f31(u,v,w)),singleton_set(x)). % 299.97/300.41 35457[0:Res:4348.2,1014.0] || member(u,compose(v,w)) subset(v,converse(cross_product(x,y)))* -> member(first(ordered_pair(second(ordered_pair(f29(u,v,w),f31(u,v,w))),first(ordered_pair(f29(u,v,w),f31(u,v,w))))),x)*. % 299.97/300.41 35456[0:Res:4348.2,1015.0] || member(u,compose(v,w)) subset(v,converse(cross_product(x,y)))* -> member(second(ordered_pair(second(ordered_pair(f29(u,v,w),f31(u,v,w))),first(ordered_pair(f29(u,v,w),f31(u,v,w))))),y)*. % 299.97/300.41 36580[2:Res:4622.2,644.1] || member(u,flip_range_of(v)) subset(v,second(f8(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)))* member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),domain_of(w)) -> . % 299.97/300.41 36558[0:Res:4622.2,8.0] || member(u,flip_range_of(v)) subset(v,non_ordered_pair(w,x))* -> equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)* equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)*. % 299.97/300.41 37008[2:Res:4770.2,644.1] || member(u,rotate_right(v)) subset(v,second(f8(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)))* member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),domain_of(w)) -> . % 299.97/300.41 36986[0:Res:4770.2,8.0] || member(u,rotate_right(v)) subset(v,non_ordered_pair(w,x))* -> equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)* equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)*. % 299.97/300.41 40290[0:Res:4348.2,5068.1] || member(u,compose(v,w)) subset(v,ordered_pair(f10(x,y),f11(x,y)))* member(x,rotate_right(y)) equal(z,x)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),second(z))*. % 299.97/300.41 40289[0:Res:4273.2,5068.1] || member(u,compose(v,w)) subset(w,ordered_pair(f10(x,y),f11(x,y)))* member(x,rotate_right(y)) equal(z,x)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),second(z))*. % 299.97/300.41 40279[0:Res:557.1,5068.1] || member(u,range_of(cross_product(ordered_pair(f10(v,w),f11(v,w)),x))) member(v,rotate_right(w)) equal(y,v) -> member(first(f27(u,cross_product(ordered_pair(f10(v,w),f11(v,w)),x))),second(y))*. % 299.97/300.41 40278[0:Res:558.1,5068.1] || member(u,sigma(cross_product(ordered_pair(f10(v,w),f11(v,w)),x))) member(v,rotate_right(w)) equal(y,v) -> member(first(f16(u,cross_product(ordered_pair(f10(v,w),f11(v,w)),x))),second(y))*. % 299.97/300.41 40231[0:Res:545.1,5068.1] || member(u,sigma(cross_product(v,ordered_pair(f10(w,x),f11(w,x))))) member(w,rotate_right(x)) equal(y,w) -> member(second(f16(u,cross_product(v,ordered_pair(f10(w,x),f11(w,x))))),second(y))*. % 299.97/300.41 40230[0:Res:546.1,5068.1] || member(u,domain_of(cross_product(v,ordered_pair(f10(w,x),f11(w,x))))) member(w,rotate_right(x)) equal(y,w) -> member(second(f8(u,cross_product(v,ordered_pair(f10(w,x),f11(w,x))))),second(y))*. % 299.97/300.41 40173[0:Res:86.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(ordered_pair(f10(u,v),f11(u,v))) member(ordered_pair(f19(ordered_pair(f10(u,v),f11(u,v))),f20(ordered_pair(f10(u,v),f11(u,v)))),second(w))*. % 299.97/300.41 40172[0:Res:87.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(ordered_pair(f10(u,v),f11(u,v))) member(ordered_pair(f19(ordered_pair(f10(u,v),f11(u,v))),f21(ordered_pair(f10(u,v),f11(u,v)))),second(w))*. % 299.97/300.41 40470[0:Res:4348.2,5070.1] || member(u,compose(v,w)) subset(v,ordered_pair(f13(x,y),f14(x,y)))* member(x,flip_range_of(y)) equal(z,x)* -> member(ordered_pair(f29(u,v,w),f31(u,v,w)),second(z))*. % 299.97/300.41 40469[0:Res:4273.2,5070.1] || member(u,compose(v,w)) subset(w,ordered_pair(f13(x,y),f14(x,y)))* member(x,flip_range_of(y)) equal(z,x)* -> member(ordered_pair(f31(u,v,w),f30(u,v,w)),second(z))*. % 299.97/300.41 40459[0:Res:557.1,5070.1] || member(u,range_of(cross_product(ordered_pair(f13(v,w),f14(v,w)),x))) member(v,flip_range_of(w)) equal(y,v) -> member(first(f27(u,cross_product(ordered_pair(f13(v,w),f14(v,w)),x))),second(y))*. % 299.97/300.41 40458[0:Res:558.1,5070.1] || member(u,sigma(cross_product(ordered_pair(f13(v,w),f14(v,w)),x))) member(v,flip_range_of(w)) equal(y,v) -> member(first(f16(u,cross_product(ordered_pair(f13(v,w),f14(v,w)),x))),second(y))*. % 299.97/300.41 40411[0:Res:545.1,5070.1] || member(u,sigma(cross_product(v,ordered_pair(f13(w,x),f14(w,x))))) member(w,flip_range_of(x)) equal(y,w) -> member(second(f16(u,cross_product(v,ordered_pair(f13(w,x),f14(w,x))))),second(y))*. % 299.97/300.41 40410[0:Res:546.1,5070.1] || member(u,domain_of(cross_product(v,ordered_pair(f13(w,x),f14(w,x))))) member(w,flip_range_of(x)) equal(y,w) -> member(second(f8(u,cross_product(v,ordered_pair(f13(w,x),f14(w,x))))),second(y))*. % 299.97/300.41 40353[0:Res:86.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(ordered_pair(f13(u,v),f14(u,v))) member(ordered_pair(f19(ordered_pair(f13(u,v),f14(u,v))),f20(ordered_pair(f13(u,v),f14(u,v)))),second(w))*. % 299.97/300.41 40352[0:Res:87.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(ordered_pair(f13(u,v),f14(u,v))) member(ordered_pair(f19(ordered_pair(f13(u,v),f14(u,v))),f21(ordered_pair(f13(u,v),f14(u,v)))),second(w))*. % 299.97/300.41 40779[0:Res:1468.2,5066.1] || member(u,image(v,w)) member(f22(u,v,w),converse(f30(x,y,z)))* member(x,compose(y,z)) equal(x1,x)* -> member(ordered_pair(u,first(f22(u,v,w))),second(x1))*. % 299.97/300.41 40778[0:Res:1468.2,5025.1] || member(u,image(v,w)) member(f22(u,v,w),converse(f29(x,y,z)))* member(x,compose(y,z)) equal(x1,x)* -> member(ordered_pair(u,first(f22(u,v,w))),first(x1))*. % 299.97/300.41 40762[0:Res:1468.2,1421.0] || member(u,image(v,w)) member(f22(u,v,w),converse(ordered_pair(x,y)))* -> equal(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y))* equal(ordered_pair(u,first(f22(u,v,w))),singleton_set(x)). % 299.97/300.41 40730[0:Res:1468.2,1014.0] || member(u,image(v,w)) member(f22(u,v,w),converse(converse(cross_product(x,y))))* -> member(first(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w)))))),x)*. % 299.97/300.41 40729[0:Res:1468.2,1015.0] || member(u,image(v,w)) member(f22(u,v,w),converse(converse(cross_product(x,y))))* -> member(second(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w)))))),y)*. % 299.97/300.41 40923[0:Res:1464.2,5066.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(f30(x,y,z)))* member(x,compose(y,z)) equal(x1,x)* -> member(ordered_pair(second(f28(u,v,w)),w),second(x1))*. % 299.97/300.41 40922[0:Res:1464.2,5025.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(f29(x,y,z)))* member(x,compose(y,z)) equal(x1,x)* -> member(ordered_pair(second(f28(u,v,w)),w),first(x1))*. % 299.97/300.41 40908[0:Res:1464.2,1421.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(ordered_pair(x,y)))* -> equal(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y))* equal(ordered_pair(second(f28(u,v,w)),w),singleton_set(x)). % 299.97/300.41 40876[0:Res:1464.2,1014.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(converse(cross_product(x,y))))* -> member(first(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w)))),x)*. % 299.97/300.41 40875[0:Res:1464.2,1015.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(converse(cross_product(x,y))))* -> member(second(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w)))),y)*. % 299.97/300.41 40985[0:Res:3651.2,4121.1] || member(ordered_pair(u,first(f22(u,v,w))),cross_product(x,universal_set))* member(ordered_pair(u,first(f22(u,v,w))),y)* member(u,image(v,w)) -> member(f22(u,v,w),converse(restrict(y,x)))*. % 299.97/300.41 41003[3:SSi:40967.0,5742.0,371.1] || member(second(ordered_pair(u,first(f22(u,v,w)))),x)* member(first(ordered_pair(u,first(f22(u,v,w)))),y)* member(u,image(v,w)) -> member(f22(u,v,w),converse(cross_product(y,x)))*. % 299.97/300.41 41082[0:Res:3651.2,4122.1] || member(ordered_pair(second(f28(u,v,w)),w),cross_product(x,universal_set))* member(ordered_pair(second(f28(u,v,w)),w),y)* member(u,apply(v,w)) -> member(f28(u,v,w),converse(restrict(y,x)))*. % 299.97/300.41 41100[3:SSi:41064.0,5742.0,371.1] || member(second(ordered_pair(second(f28(u,v,w)),w)),x)* member(first(ordered_pair(second(f28(u,v,w)),w)),y)* member(u,apply(v,w)) -> member(f28(u,v,w),converse(cross_product(y,x)))*. % 299.97/300.41 41256[3:Res:4286.1,6192.1] || member(u,compose(v,intersection(w,second(x)))) member(x,y) equal(first(x),z) -> member(ordered_pair(f31(u,v,intersection(w,second(x))),f30(u,v,intersection(w,second(x)))),apply(y,z))*. % 299.97/300.41 41495[3:Res:4285.1,6192.1] || member(u,compose(v,intersection(second(w),x))) member(w,y) equal(first(w),z) -> member(ordered_pair(f31(u,v,intersection(second(w),x)),f30(u,v,intersection(second(w),x))),apply(y,z))*. % 299.97/300.41 41633[3:Res:4361.1,6192.1] || member(u,compose(intersection(v,second(w)),x)) member(w,y) equal(first(w),z) -> member(ordered_pair(f29(u,intersection(v,second(w)),x),f31(u,intersection(v,second(w)),x)),apply(y,z))*. % 299.97/300.41 41755[3:Res:4360.1,6192.1] || member(u,compose(intersection(second(v),w),x)) member(v,y) equal(first(v),z) -> member(ordered_pair(f29(u,intersection(second(v),w),x),f31(u,intersection(second(v),w),x)),apply(y,z))*. % 299.97/300.41 42034[3:Res:281.1,6212.0] || member(u,v) equal(first(u),w) -> disjoint(x,intersection(y,converse(second(u)))) member(ordered_pair(second(f23(x,intersection(y,converse(second(u))))),first(f23(x,intersection(y,converse(second(u)))))),apply(v,w))*. % 299.97/300.41 42001[3:Res:278.1,6212.0] || member(u,v) equal(first(u),w) -> subset(intersection(x,converse(second(u))),y) member(ordered_pair(second(f17(intersection(x,converse(second(u))),y)),first(f17(intersection(x,converse(second(u))),y))),apply(v,w))*. % 299.97/300.41 41998[3:Res:277.1,6212.0] || member(u,v) equal(first(u),w) -> disjoint(intersection(x,converse(second(u))),y) member(ordered_pair(second(f23(intersection(x,converse(second(u))),y)),first(f23(intersection(x,converse(second(u))),y))),apply(v,w))*. % 299.97/300.41 41996[3:Res:289.1,6212.0] || member(u,v) equal(first(u),w) -> disjoint(x,intersection(converse(second(u)),y)) member(ordered_pair(second(f23(x,intersection(converse(second(u)),y))),first(f23(x,intersection(converse(second(u)),y)))),apply(v,w))*. % 299.97/300.41 41965[3:Res:285.1,6212.0] || member(u,v) equal(first(u),w) -> disjoint(intersection(converse(second(u)),x),y) member(ordered_pair(second(f23(intersection(converse(second(u)),x),y)),first(f23(intersection(converse(second(u)),x),y))),apply(v,w))*. % 299.97/300.41 41963[3:Res:286.1,6212.0] || member(u,v) equal(first(u),w) -> subset(intersection(converse(second(u)),x),y) member(ordered_pair(second(f17(intersection(converse(second(u)),x),y)),first(f17(intersection(converse(second(u)),x),y))),apply(v,w))*. % 299.97/300.41 42219[0:MRR:42218.0,117.1] little_set(u) || member(ordered_pair(second(f28(v,w,x)),x),second(y)) member(v,apply(w,x)) equal(u,x) -> member(u,domain_of(converse(f7(ordered_pair(second(f28(v,w,x)),x),y))))*. % 299.97/300.41 42221[0:MRR:42220.0,117.1] little_set(u) || member(ordered_pair(second(f28(v,w,x)),x),first(y)) member(v,apply(w,x)) equal(u,x) -> member(u,domain_of(converse(f4(ordered_pair(second(f28(v,w,x)),x),y))))*. % 299.97/300.41 42223[0:MRR:42222.0,117.1] little_set(u) || member(ordered_pair(second(f28(v,w,x)),x),sigma(y)) member(v,apply(w,x)) equal(u,x) -> member(u,domain_of(converse(f16(ordered_pair(second(f28(v,w,x)),x),y))))*. % 299.97/300.41 42295[0:MRR:42294.0,92.1] little_set(u) || member(ordered_pair(v,first(f22(v,w,x))),second(y)) member(v,image(w,x)) equal(u,v) -> member(u,range_of(converse(f7(ordered_pair(v,first(f22(v,w,x))),y))))*. % 299.97/300.41 42297[0:MRR:42296.0,92.1] little_set(u) || member(ordered_pair(v,first(f22(v,w,x))),first(y)) member(v,image(w,x)) equal(u,v) -> member(u,range_of(converse(f4(ordered_pair(v,first(f22(v,w,x))),y))))*. % 299.97/300.41 42299[0:MRR:42298.0,92.1] little_set(u) || member(ordered_pair(v,first(f22(v,w,x))),sigma(y)) member(v,image(w,x)) equal(u,v) -> member(u,range_of(converse(f16(ordered_pair(v,first(f22(v,w,x))),y))))*. % 299.97/300.41 42992[3:Res:6206.3,1442.0] || member(u,non_ordered_pair(v,w)) equal(first(u),x) -> subset(second(u),y) equal(f28(f17(second(u),y),non_ordered_pair(v,w),x),w)** equal(f28(f17(second(u),y),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 42991[3:Res:6205.3,1442.0] || member(u,non_ordered_pair(v,w)) equal(first(u),x) -> disjoint(second(u),y) equal(f28(f23(second(u),y),non_ordered_pair(v,w),x),w)** equal(f28(f23(second(u),y),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 42990[3:Res:6202.3,1442.0] || member(u,non_ordered_pair(v,w)) equal(first(u),x) -> disjoint(y,second(u)) equal(f28(f23(y,second(u)),non_ordered_pair(v,w),x),w)** equal(f28(f23(y,second(u)),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 42899[0:Res:107.1,1442.0] || member(u,range_of(apply(non_ordered_pair(v,w),x))) -> equal(f28(f27(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),w)** equal(f28(f27(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 42897[0:Res:66.1,1442.0] || member(u,sigma(apply(non_ordered_pair(v,w),x))) -> equal(f28(f16(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),w)** equal(f28(f16(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 42895[0:Res:38.1,1442.0] || member(u,domain_of(apply(non_ordered_pair(v,w),x))) -> equal(f28(f8(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),w)** equal(f28(f8(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 43076[0:Res:107.1,1443.0] || member(u,range_of(image(v,non_ordered_pair(w,x)))) -> equal(f22(f27(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),x)** equal(f22(f27(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),w)**. % 299.97/300.41 43074[0:Res:66.1,1443.0] || member(u,sigma(image(v,non_ordered_pair(w,x)))) -> equal(f22(f16(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),x)** equal(f22(f16(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),w)**. % 299.97/300.41 43072[0:Res:38.1,1443.0] || member(u,domain_of(image(v,non_ordered_pair(w,x)))) -> equal(f22(f8(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),x)** equal(f22(f8(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),w)**. % 299.97/300.41 43274[0:Res:3651.2,4109.1] ordered_pair_predicate(u) || member(ordered_pair(second(u),first(u)),cross_product(v,universal_set))* member(ordered_pair(second(u),first(u)),w)* member(ordered_pair(second(u),first(u)),x)* -> member(u,converse(intersection(x,restrict(w,v))))*. % 299.97/300.41 43299[3:SSi:43256.0,18197.0,371.1] ordered_pair_predicate(u) || member(second(ordered_pair(second(u),first(u))),v)* member(first(ordered_pair(second(u),first(u))),w)* member(ordered_pair(second(u),first(u)),x)* -> member(u,converse(intersection(x,cross_product(w,v))))*. % 299.97/300.41 43399[0:Res:4108.2,1137.1] ordered_pair_predicate(complement(u)) little_set(v) || member(ordered_pair(second(complement(u)),first(complement(u))),apply(w,x)) -> member(v,u) member(v,sigma(converse(second(f28(ordered_pair(second(complement(u)),first(complement(u))),w,x)))))*. % 299.97/300.41 43476[0:MRR:43475.0,106.1] little_set(u) || member(ordered_pair(v,first(f27(v,w))),apply(x,y)) member(v,range_of(w)) equal(u,v) -> member(u,range_of(converse(second(f28(ordered_pair(v,first(f27(v,w))),x,y)))))*. % 299.97/300.41 43478[0:MRR:43477.0,37.1] little_set(u) || member(ordered_pair(second(f8(v,w)),v),apply(x,y)) member(v,domain_of(w)) equal(u,v) -> member(u,domain_of(converse(second(f28(ordered_pair(second(f8(v,w)),v),x,y)))))*. % 299.97/300.41 43984[0:SpL:1432.2,1421.0] || member(u,v)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),w) equal(u,non_ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))))* equal(u,singleton_set(f19(non_ordered_pair(v,w)))). % 299.97/300.41 43970[0:SpL:1432.1,1421.0] || member(u,v)* -> single_valued_set(non_ordered_pair(w,v)) equal(ordered_pair(f19(non_ordered_pair(w,v)),f21(non_ordered_pair(w,v))),w) equal(u,non_ordered_pair(f19(non_ordered_pair(w,v)),f21(non_ordered_pair(w,v))))* equal(u,singleton_set(f19(non_ordered_pair(w,v)))). % 299.97/300.41 44128[0:SpL:1433.2,1421.0] || member(u,v)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),w) equal(u,non_ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))))* equal(u,singleton_set(f19(non_ordered_pair(v,w)))). % 299.97/300.41 44114[0:SpL:1433.1,1421.0] || member(u,v)* -> single_valued_set(non_ordered_pair(w,v)) equal(ordered_pair(f19(non_ordered_pair(w,v)),f20(non_ordered_pair(w,v))),w) equal(u,non_ordered_pair(f19(non_ordered_pair(w,v)),f20(non_ordered_pair(w,v))))* equal(u,singleton_set(f19(non_ordered_pair(w,v)))). % 299.97/300.41 44314[0:Res:4635.1,4238.0] || member(u,flip_range_of(intersection(v,compose(w,x)))) equal(y,ordered_pair(f12(u,intersection(v,compose(w,x))),ordered_pair(f14(u,intersection(v,compose(w,x))),f13(u,intersection(v,compose(w,x))))))* -> ordered_pair_predicate(y)*. % 299.97/300.41 44569[0:Res:4634.1,4238.0] || member(u,flip_range_of(intersection(compose(v,w),x))) equal(y,ordered_pair(f12(u,intersection(compose(v,w),x)),ordered_pair(f14(u,intersection(compose(v,w),x)),f13(u,intersection(compose(v,w),x)))))* -> ordered_pair_predicate(y)*. % 299.97/300.41 45088[0:Res:4783.1,4238.0] || member(u,rotate_right(intersection(v,compose(w,x)))) equal(y,ordered_pair(f10(u,intersection(v,compose(w,x))),ordered_pair(f11(u,intersection(v,compose(w,x))),f9(u,intersection(v,compose(w,x))))))* -> ordered_pair_predicate(y)*. % 299.97/300.41 46215[0:Res:4782.1,4238.0] || member(u,rotate_right(intersection(compose(v,w),x))) equal(y,ordered_pair(f10(u,intersection(compose(v,w),x)),ordered_pair(f11(u,intersection(compose(v,w),x)),f9(u,intersection(compose(v,w),x)))))* -> ordered_pair_predicate(y)*. % 299.97/300.41 47219[0:Res:100.1,1558.0] || -> disjoint(u,image(non_ordered_pair(v,w),x)) equal(first(f22(f23(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f23(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),v)**. % 299.97/300.41 47189[0:Res:99.1,1558.0] || -> disjoint(image(non_ordered_pair(u,v),w),x) equal(first(f22(f23(image(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w)),v)** equal(first(f22(f23(image(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w)),u)**. % 299.97/300.41 47187[0:Res:71.1,1558.0] || -> subset(image(non_ordered_pair(u,v),w),x) equal(first(f22(f17(image(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w)),v)** equal(first(f22(f17(image(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w)),u)**. % 299.97/300.41 47379[0:Res:3837.1,4238.0] || equal(u,f1(non_ordered_pair(v,w),compose(x,y)))* -> equal(non_ordered_pair(v,w),compose(x,y)) equal(f1(non_ordered_pair(v,w),compose(x,y)),w)** equal(f1(non_ordered_pair(v,w),compose(x,y)),v)** ordered_pair_predicate(u)*. % 299.97/300.41 47824[0:Res:3819.1,4238.0] || equal(u,f1(compose(v,w),non_ordered_pair(x,y)))* -> equal(compose(v,w),non_ordered_pair(x,y)) equal(f1(compose(v,w),non_ordered_pair(x,y)),y)** equal(f1(compose(v,w),non_ordered_pair(x,y)),x)** ordered_pair_predicate(u)*. % 299.97/300.41 59798[16:Rew:54986.0,58776.2,54986.0,58776.1] || -> equal(image(non_ordered_pair(u,v),w),a) equal(first(f22(f1(a,image(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(a,image(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w)),u)**. % 299.97/300.41 59799[16:Rew:54986.0,58777.2,54986.0,58777.1] || -> equal(image(non_ordered_pair(u,v),w),a) equal(first(f22(f1(image(non_ordered_pair(u,v),w),a),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(image(non_ordered_pair(u,v),w),a),non_ordered_pair(u,v),w)),u)**. % 299.97/300.41 58791[16:Rew:54986.0,51520.2] || member(u,v) equal(first(u),w) -> equal(cross_product(converse(second(u)),x),a) member(ordered_pair(second(first(f24(cross_product(converse(second(u)),x)))),first(first(f24(cross_product(converse(second(u)),x))))),apply(v,w))*. % 299.97/300.41 58792[16:Rew:54986.0,51521.2] || member(u,v) equal(first(u),w) -> equal(cross_product(x,converse(second(u))),a) member(ordered_pair(second(second(f24(cross_product(x,converse(second(u)))))),first(second(f24(cross_product(x,converse(second(u))))))),apply(v,w))*. % 299.97/300.41 64056[3:Res:10.2,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),v)* member(first(ordered_pair(second(u),first(u))),w)* -> member(u,converse(cross_product(w,non_ordered_pair(x,v))))*. % 299.97/300.41 64055[3:Res:9.2,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),v)* member(first(ordered_pair(second(u),first(u))),w)* -> member(u,converse(cross_product(w,non_ordered_pair(v,x))))*. % 299.97/300.41 64285[0:Res:4628.1,274.0] || member(u,flip_range_of(cross_product(v,restrict(w,x)))) -> member(second(ordered_pair(f12(u,cross_product(v,restrict(w,x))),ordered_pair(f14(u,cross_product(v,restrict(w,x))),f13(u,cross_product(v,restrict(w,x)))))),cross_product(x,universal_set))*. % 299.97/300.41 64392[0:Res:4627.1,274.0] || member(u,flip_range_of(cross_product(restrict(v,w),x))) -> member(first(ordered_pair(f12(u,cross_product(restrict(v,w),x)),ordered_pair(f14(u,cross_product(restrict(v,w),x)),f13(u,cross_product(restrict(v,w),x))))),cross_product(w,universal_set))*. % 299.97/300.41 64541[0:Res:4776.1,274.0] || member(u,rotate_right(cross_product(v,restrict(w,x)))) -> member(second(ordered_pair(f10(u,cross_product(v,restrict(w,x))),ordered_pair(f11(u,cross_product(v,restrict(w,x))),f9(u,cross_product(v,restrict(w,x)))))),cross_product(x,universal_set))*. % 299.97/300.41 64651[0:Res:4775.1,274.0] || member(u,rotate_right(cross_product(restrict(v,w),x))) -> member(first(ordered_pair(f10(u,cross_product(restrict(v,w),x)),ordered_pair(f11(u,cross_product(restrict(v,w),x)),f9(u,cross_product(restrict(v,w),x))))),cross_product(w,universal_set))*. % 299.97/300.41 65371[0:SSi:65348.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f31(x,y,ordered_pair(v,w)),u),non_ordered_pair(v,w))** member(x,compose(y,ordered_pair(v,w))) -> equal(u,f30(x,y,ordered_pair(v,w))). % 299.97/300.41 65588[0:SSi:65563.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f29(x,ordered_pair(v,w),y),u),non_ordered_pair(v,w))** member(x,compose(ordered_pair(v,w),y)) -> equal(u,f31(x,ordered_pair(v,w),y)). % 299.97/300.41 65886[16:MRR:65873.0,18.1] little_set(f26(f4(u,v))) single_valued_set(sigma(w)) || member(f25,w) member(u,first(v)) member(v,sigma(w))* -> equal(f4(u,v),a) equal(f26(f4(u,v)),f5(u,v))**. % 299.97/300.41 65887[0:SSi:65859.0,371.0] little_set(u) single_valued_set(intersection(complement(v),complement(w))) || member(x,first(y)) member(y,intersection(complement(v),complement(w))) -> member(ordered_pair(f4(x,y),u),union(v,w))* equal(u,f5(x,y)). % 299.97/300.41 65889[0:MRR:65888.2,18.1] little_set(u) little_set(v) single_valued_set(flip_range_of(w)) || member(ordered_pair(f4(x,y),ordered_pair(u,v)),w)* member(x,first(y)) member(y,flip_range_of(w)) -> equal(ordered_pair(v,u),f5(x,y)). % 299.97/300.41 65891[0:MRR:65890.2,18.1] little_set(u) little_set(v) single_valued_set(rotate_right(w)) || member(ordered_pair(v,ordered_pair(u,f4(x,y))),w)* member(x,first(y)) member(y,rotate_right(w)) -> equal(ordered_pair(v,u),f5(x,y)). % 299.97/300.41 66007[16:MRR:65994.0,23.1] little_set(f26(f6(u,v))) single_valued_set(sigma(w)) || member(f25,w) member(u,second(v)) member(v,sigma(w))* -> equal(f6(u,v),a) equal(f26(f6(u,v)),f7(u,v))**. % 299.97/300.41 66008[0:SSi:65980.0,371.0] little_set(u) single_valued_set(intersection(complement(v),complement(w))) || member(x,second(y)) member(y,intersection(complement(v),complement(w))) -> member(ordered_pair(f6(x,y),u),union(v,w))* equal(u,f7(x,y)). % 299.97/300.41 66010[0:MRR:66009.2,23.1] little_set(u) little_set(v) single_valued_set(flip_range_of(w)) || member(ordered_pair(f6(x,y),ordered_pair(u,v)),w)* member(x,second(y)) member(y,flip_range_of(w)) -> equal(ordered_pair(v,u),f7(x,y)). % 299.97/300.41 66012[0:MRR:66011.2,23.1] little_set(u) little_set(v) single_valued_set(rotate_right(w)) || member(ordered_pair(v,ordered_pair(u,f6(x,y))),w)* member(x,second(y)) member(y,rotate_right(w)) -> equal(ordered_pair(v,u),f7(x,y)). % 299.97/300.41 66330[0:Res:5054.3,6077.3] little_set(u) little_set(v) little_set(w) little_set(x) little_set(y) || member(ordered_pair(w,x),u)* member(ordered_pair(y,w),z)* -> member(ordered_pair(y,x),compose(z,second(ordered_pair(v,u))))*. % 299.97/300.41 66329[0:Res:5009.3,6077.3] little_set(u) little_set(v) little_set(w) little_set(x) little_set(y) || member(ordered_pair(w,x),v)* member(ordered_pair(y,w),z)* -> member(ordered_pair(y,x),compose(z,first(ordered_pair(v,u))))*. % 299.97/300.41 66383[0:MRR:66315.1,4.1] little_set(second(f8(u,v))) little_set(w) || member(u,domain_of(v)) member(f8(u,v),converse(x))* member(ordered_pair(w,second(f8(u,v))),y)* -> member(ordered_pair(w,u),compose(y,x))*. % 299.97/300.41 66384[0:MRR:66314.0,4.1] little_set(first(f27(u,v))) little_set(w) || member(u,range_of(v)) member(f27(u,v),converse(x)) member(ordered_pair(w,u),y) -> member(ordered_pair(w,first(f27(u,v))),compose(y,x))*. % 299.97/300.41 66429[0:MRR:66428.0,49.1] little_set(u) || member(v,rotate_right(intersection(w,x))) member(ordered_pair(u,f10(v,intersection(w,x))),y) -> member(ordered_pair(u,ordered_pair(f11(v,intersection(w,x)),f9(v,intersection(w,x)))),compose(y,x))*. % 299.97/300.41 66431[0:MRR:66430.0,54.1] little_set(u) || member(v,flip_range_of(intersection(w,x))) member(ordered_pair(u,f12(v,intersection(w,x))),y) -> member(ordered_pair(u,ordered_pair(f14(v,intersection(w,x)),f13(v,intersection(w,x)))),compose(y,x))*. % 299.97/300.41 66433[0:MRR:66432.0,49.1] little_set(u) || member(v,rotate_right(intersection(w,x))) member(ordered_pair(u,f10(v,intersection(w,x))),y) -> member(ordered_pair(u,ordered_pair(f11(v,intersection(w,x)),f9(v,intersection(w,x)))),compose(y,w))*. % 299.97/300.41 66435[0:MRR:66434.0,54.1] little_set(u) || member(v,flip_range_of(intersection(w,x))) member(ordered_pair(u,f12(v,intersection(w,x))),y) -> member(ordered_pair(u,ordered_pair(f14(v,intersection(w,x)),f13(v,intersection(w,x)))),compose(y,w))*. % 299.97/300.41 67015[0:MRR:66990.0,5.0] || equal(f1(u,intersection(v,non_ordered_pair(w,x))),x) member(f1(u,intersection(v,non_ordered_pair(w,x))),v)* member(f1(u,intersection(v,non_ordered_pair(w,x))),u)* -> equal(u,intersection(v,non_ordered_pair(w,x))). % 299.97/300.41 67016[0:MRR:66989.0,5.0] || equal(f1(u,intersection(v,non_ordered_pair(w,x))),w) member(f1(u,intersection(v,non_ordered_pair(w,x))),v)* member(f1(u,intersection(v,non_ordered_pair(w,x))),u)* -> equal(u,intersection(v,non_ordered_pair(w,x))). % 299.97/300.41 67116[0:Res:1079.2,5162.4] little_set(first(f27(u,v))) little_set(w) || equal(first(f27(u,v)),x)* member(u,range_of(v)) member(f27(u,v),y)* equal(u,w)* -> member(w,image(singleton_set(x),y))*. % 299.97/300.41 67115[0:Res:77.2,5162.4] little_set(first(f27(u,v))) little_set(w) || subset(first(f27(u,v)),x)* member(u,range_of(v)) member(f27(u,v),y)* equal(u,w)* -> member(w,image(powerset(x),y))*. % 299.97/300.41 67691[3:Rew:108.1,67664.1] || member(u,range_of(v)) member(w,compose(x,u)) member(f27(u,v),y)* equal(first(f27(u,v)),z)* -> member(ordered_pair(f31(w,x,u),f30(w,x,u)),apply(y,z))*. % 299.97/300.41 67749[3:Rew:108.1,67722.1] || member(u,range_of(v)) member(w,compose(u,x)) member(f27(u,v),y)* equal(first(f27(u,v)),z)* -> member(ordered_pair(f29(w,u,x),f31(w,u,x)),apply(y,z))*. % 299.97/300.41 67903[0:SSi:67867.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f29(x,y,z),u),non_ordered_pair(v,w))* member(x,compose(y,z)) member(x,ordered_pair(v,w))* -> equal(u,f30(x,y,z)). % 299.97/300.41 68423[0:SSi:68403.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f9(x,y),u),singleton_set(v))* member(x,rotate_right(y)) member(x,ordered_pair(v,w))* -> equal(u,ordered_pair(f10(x,y),f11(x,y)))*. % 299.97/300.41 68679[0:SSi:68653.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f12(x,y),u),singleton_set(v))* member(x,flip_range_of(y)) member(x,ordered_pair(v,w))* -> equal(u,ordered_pair(f13(x,y),f14(x,y)))*. % 299.97/300.41 68694[0:SSi:68693.0,371.0] single_valued_set(u) || member(v,flip_range_of(intersection(w,u))) member(v,u) -> equal(ordered_pair(f14(v,intersection(w,u)),f13(v,intersection(w,u))),ordered_pair(f13(v,intersection(w,u)),f14(v,intersection(w,u))))**. % 299.97/300.41 68696[0:SSi:68695.0,371.0] single_valued_set(u) || member(v,flip_range_of(intersection(u,w))) member(v,u) -> equal(ordered_pair(f14(v,intersection(u,w)),f13(v,intersection(u,w))),ordered_pair(f13(v,intersection(u,w)),f14(v,intersection(u,w))))**. % 299.97/300.41 69112[0:Res:5256.5,68.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z)* member(sigma(z),x1)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),sigma(x1))*. % 299.97/300.41 69111[0:Res:5256.5,98.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z)* member(f33(y,w,x,u,v),x1)* disjoint(x1,sigma(z))* -> homomorphism(y,w,x,u,v). % 299.97/300.41 69183[0:MRR:69161.0,5259.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(intersection(complement(z),complement(x1)),w) -> member(f33(y,w,x,u,v),union(z,x1))* homomorphism(y,w,x,u,v). % 299.97/300.41 69318[0:Res:5301.5,68.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z)* member(sigma(z),x1)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),sigma(x1))*. % 299.97/300.41 69317[0:Res:5301.5,98.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z)* member(f32(y,w,x,u,v),x1)* disjoint(x1,sigma(z))* -> homomorphism(y,w,x,u,v). % 299.97/300.41 69420[0:MRR:69399.0,5304.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(intersection(complement(z),complement(x1)),w) -> member(f32(y,w,x,u,v),union(z,x1))* homomorphism(y,w,x,u,v). % 299.97/300.41 69720[3:Res:6221.3,70.0] || member(u,rotate_right(second(v))) member(v,w)* equal(first(v),x)* subset(apply(w,x),y)* -> member(ordered_pair(f10(u,second(v)),ordered_pair(f11(u,second(v)),f9(u,second(v)))),y)*. % 299.97/300.41 70016[3:Res:6222.3,70.0] || member(u,flip_range_of(second(v))) member(v,w)* equal(first(v),x)* subset(apply(w,x),y)* -> member(ordered_pair(f12(u,second(v)),ordered_pair(f14(u,second(v)),f13(u,second(v)))),y)*. % 299.97/300.41 70200[0:SSi:70181.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),non_ordered_pair(y,z))* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(ordered_pair(y,z)))*. % 299.97/300.41 70278[0:SSi:70259.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),non_ordered_pair(y,z))* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(ordered_pair(y,z)))*. % 299.97/300.41 70355[0:SSi:70331.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),non_ordered_pair(y,z))* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(ordered_pair(y,z)))*. % 299.97/300.41 70426[0:SSi:70402.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),non_ordered_pair(y,z))* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(ordered_pair(y,z)))*. % 299.97/300.41 70493[0:MRR:70468.0,1545.1] little_set(u) || equal(first(f22(v,w,x)),non_ordered_pair(y,z))* member(v,image(w,x)) member(f22(v,w,x),x1)* equal(v,u)* -> member(u,image(ordered_pair(y,z),x1))*. % 299.97/300.41 70542[6:Res:5270.4,10857.1] || closed(u,v) closed(intersection(w,infinity),x) maps(y,intersection(w,infinity),u) equal(successor(f33(y,intersection(w,infinity),x,u,v)),universal_set)** -> homomorphism(y,intersection(w,infinity),x,u,v). % 299.97/300.41 70638[6:Res:5269.4,10857.1] || closed(u,v) closed(intersection(infinity,w),x) maps(y,intersection(infinity,w),u) equal(successor(f33(y,intersection(infinity,w),x,u,v)),universal_set)** -> homomorphism(y,intersection(infinity,w),x,u,v). % 299.97/300.41 70762[6:Res:5315.4,10857.1] || closed(u,v) closed(intersection(w,infinity),x) maps(y,intersection(w,infinity),u) equal(successor(f32(y,intersection(w,infinity),x,u,v)),universal_set)** -> homomorphism(y,intersection(w,infinity),x,u,v). % 299.97/300.41 70842[6:Res:5314.4,10857.1] || closed(u,v) closed(intersection(infinity,w),x) maps(y,intersection(infinity,w),u) equal(successor(f32(y,intersection(infinity,w),x,u,v)),universal_set)** -> homomorphism(y,intersection(infinity,w),x,u,v). % 299.97/300.41 71008[0:SSi:70981.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),y)* member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),z)* -> member(v,compose(z,singleton_set(y)))*. % 299.97/300.41 71009[0:SSi:70980.0,371.0] little_set(u) little_set(v) || subset(ordered_pair(u,f5(w,x)),y)* member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),z)* -> member(v,compose(z,powerset(y)))*. % 299.97/300.41 71079[0:SSi:71052.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),y)* member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),z)* -> member(v,compose(z,singleton_set(y)))*. % 299.97/300.41 71080[0:SSi:71051.0,371.0] little_set(u) little_set(v) || subset(ordered_pair(u,f7(w,x)),y)* member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),z)* -> member(v,compose(z,powerset(y)))*. % 299.97/300.41 71180[0:SSi:71159.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(singleton_set(z)))*. % 299.97/300.41 71181[0:SSi:71158.0,371.0,371.0] little_set(u) little_set(v) || subset(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(powerset(z)))*. % 299.97/300.41 71185[0:MRR:71184.0,71184.1,132.1,131.1] little_set(u) little_set(v) || member(ordered_pair(f29(w,x,y),ordered_pair(u,f30(w,x,y))),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(flip_range_of(z)))*. % 299.97/300.41 71187[0:MRR:71186.0,71186.1,132.1,131.1] little_set(u) little_set(v) || member(ordered_pair(f30(w,x,y),ordered_pair(u,f29(w,x,y))),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(rotate_right(z)))*. % 299.97/300.41 71313[0:SSi:71289.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(singleton_set(z)))*. % 299.97/300.41 71314[0:SSi:71288.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || subset(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(powerset(z)))*. % 299.97/300.41 71321[0:MRR:71320.0,71320.1,131.1,132.1] little_set(u) little_set(v) || member(ordered_pair(f30(w,x,y),ordered_pair(f29(w,x,y),u)),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(rotate_right(z)))*. % 299.97/300.41 72005[0:SoR:5202.3,90.1] little_set(u) little_set(v) little_set(w) function(intersection(x,y)) || member(ordered_pair(w,u),y)* member(ordered_pair(w,u),x)* member(ordered_pair(w,v),intersection(x,y))* -> equal(v,u)*. % 299.97/300.41 72582[0:SSi:72564.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),y)* member(v,rotate_right(complement(y)))*. % 299.97/300.41 72997[0:SSi:72979.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),y)* member(v,rotate_right(complement(y)))*. % 299.97/300.41 73228[0:SSi:73207.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),y)* member(v,flip_range_of(complement(y)))*. % 299.97/300.41 73421[0:SSi:73400.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),y)* member(v,flip_range_of(complement(y)))*. % 299.97/300.41 74293[3:Res:6225.6,17668.0] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z)* equal(f33(y,second(w),x,u,v),first(w))** -> homomorphism(y,second(w),x,u,v). % 299.97/300.41 74380[3:Res:6226.6,17668.0] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z)* equal(f32(y,second(w),x,u,v),first(w))** -> homomorphism(y,second(w),x,u,v). % 299.97/300.41 82844[16:Res:82637.1,6062.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(set_b))*. % 299.97/300.41 82843[16:Res:82637.1,6060.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(set_b))*. % 299.97/300.41 82838[16:Res:82637.1,5367.4] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(set_b))*. % 299.97/300.41 82837[16:Res:82637.1,5365.4] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(set_b))*. % 299.97/300.41 82997[3:Res:82638.1,6062.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(set_a))*. % 299.97/300.41 82996[3:Res:82638.1,6060.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(set_a))*. % 299.97/300.41 82991[3:Res:82638.1,5367.4] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(set_a))*. % 299.97/300.41 82990[3:Res:82638.1,5365.4] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(set_a))*. % 299.97/300.41 83152[16:Res:82641.1,6062.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(infinity))*. % 299.97/300.41 83151[16:Res:82641.1,6060.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(infinity))*. % 299.97/300.41 83146[16:Res:82641.1,5367.4] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(infinity))*. % 299.97/300.41 83145[16:Res:82641.1,5365.4] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(infinity))*. % 299.97/300.41 87728[16:Res:82665.1,6058.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(sigma(infinity)))*. % 299.97/300.41 87727[16:Res:82665.1,5363.4] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(sigma(infinity)))*. % 299.97/300.41 87718[16:Res:82665.1,6081.4] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),a) member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(v,compose(y,sigma(infinity)))*. % 299.97/300.41 87717[16:Res:82665.1,6080.4] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),a) member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(v,compose(y,sigma(infinity)))*. % 299.97/300.41 87882[16:Res:82681.1,6058.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(successor(a)))*. % 299.97/300.41 87881[16:Res:82681.1,5363.4] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(successor(a)))*. % 299.97/300.41 87872[16:Res:82681.1,6081.4] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),a) member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(v,compose(y,successor(a)))*. % 299.97/300.41 87871[16:Res:82681.1,6080.4] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),a) member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(v,compose(y,successor(a)))*. % 299.97/300.41 89282[0:Res:4775.1,14370.1] || member(u,rotate_right(cross_product(converse(complement(v)),w))) member(first(ordered_pair(f10(u,cross_product(converse(complement(v)),w)),ordered_pair(f11(u,cross_product(converse(complement(v)),w)),f9(u,cross_product(converse(complement(v)),w))))),converse(v))* -> . % 299.97/300.41 89281[0:Res:4627.1,14370.1] || member(u,flip_range_of(cross_product(converse(complement(v)),w))) member(first(ordered_pair(f12(u,cross_product(converse(complement(v)),w)),ordered_pair(f14(u,cross_product(converse(complement(v)),w)),f13(u,cross_product(converse(complement(v)),w))))),converse(v))* -> . % 299.97/300.41 89230[0:Res:142.3,14370.1] || closed(u,v) closed(converse(complement(w)),x) maps(y,converse(complement(w)),u) member(f32(y,converse(complement(w)),x,u,v),converse(w))* -> homomorphism(y,converse(complement(w)),x,u,v). % 299.97/300.41 89228[0:Res:143.3,14370.1] || closed(u,v) closed(converse(complement(w)),x) maps(y,converse(complement(w)),u) member(f33(y,converse(complement(w)),x,u,v),converse(w))* -> homomorphism(y,converse(complement(w)),x,u,v). % 299.97/300.41 89220[0:Res:4776.1,14370.1] || member(u,rotate_right(cross_product(v,converse(complement(w))))) member(second(ordered_pair(f10(u,cross_product(v,converse(complement(w)))),ordered_pair(f11(u,cross_product(v,converse(complement(w)))),f9(u,cross_product(v,converse(complement(w))))))),converse(w))* -> . % 299.97/300.41 89219[0:Res:4628.1,14370.1] || member(u,flip_range_of(cross_product(v,converse(complement(w))))) member(second(ordered_pair(f12(u,cross_product(v,converse(complement(w)))),ordered_pair(f14(u,cross_product(v,converse(complement(w)))),f13(u,cross_product(v,converse(complement(w))))))),converse(w))* -> . % 299.97/300.41 89702[16:SoR:55746.0,57705.1] || member(f24(cross_product(u,v)),w) equal(first(f24(cross_product(u,v))),x) -> equal(second(f24(cross_product(u,v))),a) member(f26(second(f24(cross_product(u,v)))),apply(w,x))* equal(cross_product(u,v),a). % 299.97/300.41 97123[0:SSi:97032.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u)) -> member(w,flip_range_of(converse(powerset(ordered_pair(second(ordered_pair(v,ordered_pair(f3(u),f2(u)))),first(ordered_pair(v,ordered_pair(f3(u),f2(u)))))))))*. % 299.97/300.41 97124[0:SSi:97031.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || equal(w,ordered_pair(v,u)) -> member(w,rotate_right(converse(powerset(ordered_pair(second(ordered_pair(f2(u),ordered_pair(f3(u),v))),first(ordered_pair(f2(u),ordered_pair(f3(u),v))))))))*. % 299.97/300.41 97727[0:Res:4783.1,2899.0] || member(u,rotate_right(intersection(v,domain_of(singleton_set(w))))) -> equal(f8(ordered_pair(f10(u,intersection(v,domain_of(singleton_set(w)))),ordered_pair(f11(u,intersection(v,domain_of(singleton_set(w)))),f9(u,intersection(v,domain_of(singleton_set(w)))))),singleton_set(w)),w)**. % 299.97/300.41 97725[0:Res:4635.1,2899.0] || member(u,flip_range_of(intersection(v,domain_of(singleton_set(w))))) -> equal(f8(ordered_pair(f12(u,intersection(v,domain_of(singleton_set(w)))),ordered_pair(f14(u,intersection(v,domain_of(singleton_set(w)))),f13(u,intersection(v,domain_of(singleton_set(w)))))),singleton_set(w)),w)**. % 299.97/300.41 97715[0:Res:4782.1,2899.0] || member(u,rotate_right(intersection(domain_of(singleton_set(v)),w))) -> equal(f8(ordered_pair(f10(u,intersection(domain_of(singleton_set(v)),w)),ordered_pair(f11(u,intersection(domain_of(singleton_set(v)),w)),f9(u,intersection(domain_of(singleton_set(v)),w)))),singleton_set(v)),v)**. % 299.97/300.41 97713[0:Res:4634.1,2899.0] || member(u,flip_range_of(intersection(domain_of(singleton_set(v)),w))) -> equal(f8(ordered_pair(f12(u,intersection(domain_of(singleton_set(v)),w)),ordered_pair(f14(u,intersection(domain_of(singleton_set(v)),w)),f13(u,intersection(domain_of(singleton_set(v)),w)))),singleton_set(v)),v)**. % 299.97/300.41 97707[0:Res:3837.1,2899.0] || -> equal(non_ordered_pair(u,v),domain_of(singleton_set(w))) equal(f1(non_ordered_pair(u,v),domain_of(singleton_set(w))),v) equal(f1(non_ordered_pair(u,v),domain_of(singleton_set(w))),u) equal(f8(f1(non_ordered_pair(u,v),domain_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.41 97625[0:Res:3819.1,2899.0] || -> equal(domain_of(singleton_set(u)),non_ordered_pair(v,w)) equal(f1(domain_of(singleton_set(u)),non_ordered_pair(v,w)),w) equal(f1(domain_of(singleton_set(u)),non_ordered_pair(v,w)),v) equal(f8(f1(domain_of(singleton_set(u)),non_ordered_pair(v,w)),singleton_set(u)),u)**. % 299.97/300.41 97940[0:Res:4783.1,2938.0] || member(u,rotate_right(intersection(v,sigma(singleton_set(w))))) -> equal(f16(ordered_pair(f10(u,intersection(v,sigma(singleton_set(w)))),ordered_pair(f11(u,intersection(v,sigma(singleton_set(w)))),f9(u,intersection(v,sigma(singleton_set(w)))))),singleton_set(w)),w)**. % 299.97/300.41 97938[0:Res:4635.1,2938.0] || member(u,flip_range_of(intersection(v,sigma(singleton_set(w))))) -> equal(f16(ordered_pair(f12(u,intersection(v,sigma(singleton_set(w)))),ordered_pair(f14(u,intersection(v,sigma(singleton_set(w)))),f13(u,intersection(v,sigma(singleton_set(w)))))),singleton_set(w)),w)**. % 299.97/300.41 97928[0:Res:4782.1,2938.0] || member(u,rotate_right(intersection(sigma(singleton_set(v)),w))) -> equal(f16(ordered_pair(f10(u,intersection(sigma(singleton_set(v)),w)),ordered_pair(f11(u,intersection(sigma(singleton_set(v)),w)),f9(u,intersection(sigma(singleton_set(v)),w)))),singleton_set(v)),v)**. % 299.97/300.41 97926[0:Res:4634.1,2938.0] || member(u,flip_range_of(intersection(sigma(singleton_set(v)),w))) -> equal(f16(ordered_pair(f12(u,intersection(sigma(singleton_set(v)),w)),ordered_pair(f14(u,intersection(sigma(singleton_set(v)),w)),f13(u,intersection(sigma(singleton_set(v)),w)))),singleton_set(v)),v)**. % 299.97/300.41 97920[0:Res:3837.1,2938.0] || -> equal(non_ordered_pair(u,v),sigma(singleton_set(w))) equal(f1(non_ordered_pair(u,v),sigma(singleton_set(w))),v) equal(f1(non_ordered_pair(u,v),sigma(singleton_set(w))),u) equal(f16(f1(non_ordered_pair(u,v),sigma(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.41 97838[0:Res:3819.1,2938.0] || -> equal(sigma(singleton_set(u)),non_ordered_pair(v,w)) equal(f1(sigma(singleton_set(u)),non_ordered_pair(v,w)),w) equal(f1(sigma(singleton_set(u)),non_ordered_pair(v,w)),v) equal(f16(f1(sigma(singleton_set(u)),non_ordered_pair(v,w)),singleton_set(u)),u)**. % 299.97/300.41 98183[0:Res:4783.1,2959.0] || member(u,rotate_right(intersection(v,range_of(singleton_set(w))))) -> equal(f27(ordered_pair(f10(u,intersection(v,range_of(singleton_set(w)))),ordered_pair(f11(u,intersection(v,range_of(singleton_set(w)))),f9(u,intersection(v,range_of(singleton_set(w)))))),singleton_set(w)),w)**. % 299.97/300.41 98181[0:Res:4635.1,2959.0] || member(u,flip_range_of(intersection(v,range_of(singleton_set(w))))) -> equal(f27(ordered_pair(f12(u,intersection(v,range_of(singleton_set(w)))),ordered_pair(f14(u,intersection(v,range_of(singleton_set(w)))),f13(u,intersection(v,range_of(singleton_set(w)))))),singleton_set(w)),w)**. % 299.97/300.41 98171[0:Res:4782.1,2959.0] || member(u,rotate_right(intersection(range_of(singleton_set(v)),w))) -> equal(f27(ordered_pair(f10(u,intersection(range_of(singleton_set(v)),w)),ordered_pair(f11(u,intersection(range_of(singleton_set(v)),w)),f9(u,intersection(range_of(singleton_set(v)),w)))),singleton_set(v)),v)**. % 299.97/300.41 98169[0:Res:4634.1,2959.0] || member(u,flip_range_of(intersection(range_of(singleton_set(v)),w))) -> equal(f27(ordered_pair(f12(u,intersection(range_of(singleton_set(v)),w)),ordered_pair(f14(u,intersection(range_of(singleton_set(v)),w)),f13(u,intersection(range_of(singleton_set(v)),w)))),singleton_set(v)),v)**. % 299.97/300.41 98163[0:Res:3837.1,2959.0] || -> equal(non_ordered_pair(u,v),range_of(singleton_set(w))) equal(f1(non_ordered_pair(u,v),range_of(singleton_set(w))),v) equal(f1(non_ordered_pair(u,v),range_of(singleton_set(w))),u) equal(f27(f1(non_ordered_pair(u,v),range_of(singleton_set(w))),singleton_set(w)),w)**. % 299.97/300.41 98081[0:Res:3819.1,2959.0] || -> equal(range_of(singleton_set(u)),non_ordered_pair(v,w)) equal(f1(range_of(singleton_set(u)),non_ordered_pair(v,w)),w) equal(f1(range_of(singleton_set(u)),non_ordered_pair(v,w)),v) equal(f27(f1(range_of(singleton_set(u)),non_ordered_pair(v,w)),singleton_set(u)),u)**. % 299.97/300.41 98446[3:Res:8090.0,6212.0] || member(u,v) equal(first(u),w) -> subset(complement(complement(converse(second(u)))),x) member(ordered_pair(second(f17(complement(complement(converse(second(u)))),x)),first(f17(complement(complement(converse(second(u)))),x))),apply(v,w))*. % 299.97/300.41 98562[3:Res:9082.0,6212.0] || member(u,v) equal(first(u),w) -> disjoint(x,complement(complement(converse(second(u))))) member(ordered_pair(second(f23(x,complement(complement(converse(second(u)))))),first(f23(x,complement(complement(converse(second(u))))))),apply(v,w))*. % 299.97/300.41 98752[3:Res:9151.0,6212.0] || member(u,v) equal(first(u),w) -> disjoint(complement(complement(converse(second(u)))),x) member(ordered_pair(second(f23(complement(complement(converse(second(u)))),x)),first(f23(complement(complement(converse(second(u)))),x))),apply(v,w))*. % 299.97/300.41 99324[3:Res:18201.1,18198.1] ordered_pair_predicate(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || member(first(ordered_pair(second(u),first(u))),v)* -> member(second(ordered_pair(second(u),first(u))),converse(w))* member(u,converse(cross_product(v,converse(complement(w)))))*. % 299.97/300.41 99530[3:MRR:99348.0,6237.1] || member(f1(u,intersection(v,converse(complement(w)))),v)* member(f1(u,intersection(v,converse(complement(w)))),u)* -> member(f1(u,intersection(v,converse(complement(w)))),converse(w))* equal(u,intersection(v,converse(complement(w)))). % 299.97/300.41 99733[0:Res:22366.2,5300.3] ordered_pair_predicate(u) || member(f32(v,w,x,y,z),f2(u))* closed(y,z) closed(w,x) maps(v,w,y) disjoint(first(u),w) -> homomorphism(v,w,x,y,z). % 299.97/300.41 99732[0:Res:22366.2,5255.3] ordered_pair_predicate(u) || member(f33(v,w,x,y,z),f2(u))* closed(y,z) closed(w,x) maps(v,w,y) disjoint(first(u),w) -> homomorphism(v,w,x,y,z). % 299.97/300.41 99676[0:Res:22366.2,5232.3] ordered_pair_predicate(u) little_set(v) single_valued_set(first(u)) || member(ordered_pair(f12(w,first(u)),v),f2(u))* member(w,flip_range_of(first(u))) -> equal(v,ordered_pair(f14(w,first(u)),f13(w,first(u))))*. % 299.97/300.41 99675[0:Res:22366.2,5230.3] ordered_pair_predicate(u) little_set(v) single_valued_set(first(u)) || member(ordered_pair(f10(w,first(u)),v),f2(u))* member(w,rotate_right(first(u))) -> equal(v,ordered_pair(f11(w,first(u)),f9(w,first(u))))*. % 299.97/300.41 99672[0:Res:22366.2,5233.4] ordered_pair_predicate(u) little_set(v) single_valued_set(first(u)) || member(ordered_pair(f29(w,x,y),v),f2(u))* member(w,compose(x,y)) member(w,first(u)) -> equal(v,f30(w,x,y)). % 299.97/300.41 99660[0:Res:22366.2,4158.0] ordered_pair_predicate(u) || member(f1(v,intersection(w,first(u))),f2(u))* member(f1(v,intersection(w,first(u))),w)* member(f1(v,intersection(w,first(u))),v)* -> equal(v,intersection(w,first(u))). % 299.97/300.41 99930[0:Res:22612.2,5300.3] ordered_pair_predicate(u) || member(f32(v,w,x,y,z),f3(u))* closed(y,z) closed(w,x) maps(v,w,y) disjoint(second(u),w) -> homomorphism(v,w,x,y,z). % 299.97/300.41 99929[0:Res:22612.2,5255.3] ordered_pair_predicate(u) || member(f33(v,w,x,y,z),f3(u))* closed(y,z) closed(w,x) maps(v,w,y) disjoint(second(u),w) -> homomorphism(v,w,x,y,z). % 299.97/300.41 99870[0:Res:22612.2,5232.3] ordered_pair_predicate(u) little_set(v) single_valued_set(second(u)) || member(ordered_pair(f12(w,second(u)),v),f3(u))* member(w,flip_range_of(second(u))) -> equal(v,ordered_pair(f14(w,second(u)),f13(w,second(u))))*. % 299.97/300.41 99869[0:Res:22612.2,5230.3] ordered_pair_predicate(u) little_set(v) single_valued_set(second(u)) || member(ordered_pair(f10(w,second(u)),v),f3(u))* member(w,rotate_right(second(u))) -> equal(v,ordered_pair(f11(w,second(u)),f9(w,second(u))))*. % 299.97/300.41 99866[0:Res:22612.2,5233.4] ordered_pair_predicate(u) little_set(v) single_valued_set(second(u)) || member(ordered_pair(f29(w,x,y),v),f3(u))* member(w,compose(x,y)) member(w,second(u)) -> equal(v,f30(w,x,y)). % 299.97/300.41 99854[0:Res:22612.2,4158.0] ordered_pair_predicate(u) || member(f1(v,intersection(w,second(u))),f3(u))* member(f1(v,intersection(w,second(u))),w)* member(f1(v,intersection(w,second(u))),v)* -> equal(v,intersection(w,second(u))). % 299.97/300.41 100825[16:Res:59048.1,6212.0] || member(u,v) equal(first(u),w) -> equal(intersection(converse(second(u)),x),a) member(ordered_pair(second(f1(intersection(converse(second(u)),x),a)),first(f1(intersection(converse(second(u)),x),a))),apply(v,w))*. % 299.97/300.41 100942[16:Res:59049.1,6212.0] || member(u,v) equal(first(u),w) -> equal(intersection(x,converse(second(u))),a) member(ordered_pair(second(f1(intersection(x,converse(second(u))),a)),first(f1(intersection(x,converse(second(u))),a))),apply(v,w))*. % 299.97/300.41 101043[16:Res:59050.1,6212.0] || member(u,v) equal(first(u),w) -> equal(intersection(converse(second(u)),x),a) member(ordered_pair(second(f1(a,intersection(converse(second(u)),x))),first(f1(a,intersection(converse(second(u)),x)))),apply(v,w))*. % 299.97/300.41 101182[16:Res:59051.1,6212.0] || member(u,v) equal(first(u),w) -> equal(intersection(x,converse(second(u))),a) member(ordered_pair(second(f1(a,intersection(x,converse(second(u))))),first(f1(a,intersection(x,converse(second(u)))))),apply(v,w))*. % 299.97/300.41 101376[16:Res:59052.1,6212.0] || member(u,v) equal(first(u),w) -> equal(restrict(converse(second(u)),x),a) member(ordered_pair(second(f1(restrict(converse(second(u)),x),a)),first(f1(restrict(converse(second(u)),x),a))),apply(v,w))*. % 299.97/300.41 101635[16:Res:59053.1,6212.0] || member(u,v) equal(first(u),w) -> equal(restrict(converse(second(u)),x),a) member(ordered_pair(second(f1(a,restrict(converse(second(u)),x))),first(f1(a,restrict(converse(second(u)),x)))),apply(v,w))*. % 299.97/300.41 104597[3:Res:18826.1,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || member(first(ordered_pair(second(u),first(u))),v)* -> member(second(ordered_pair(second(u),first(u))),complement(w))* member(u,converse(cross_product(v,union(w,x))))*. % 299.97/300.41 104798[0:MRR:104621.0,5.0] || member(f1(u,intersection(v,union(w,x))),v)* member(f1(u,intersection(v,union(w,x))),u)* -> member(f1(u,intersection(v,union(w,x))),complement(w))* equal(u,intersection(v,union(w,x))). % 299.97/300.41 104941[3:Res:18827.1,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || member(first(ordered_pair(second(u),first(u))),v)* -> member(second(ordered_pair(second(u),first(u))),complement(w))* member(u,converse(cross_product(v,union(x,w))))*. % 299.97/300.41 105144[0:MRR:104965.0,5.0] || member(f1(u,intersection(v,union(w,x))),v)* member(f1(u,intersection(v,union(w,x))),u)* -> member(f1(u,intersection(v,union(w,x))),complement(x))* equal(u,intersection(v,union(w,x))). % 299.97/300.41 105401[0:Res:4279.1,26698.0] || member(u,compose(v,cross_product(w,apply(cross_product(x,y),z)))) -> member(second(ordered_pair(f31(u,v,cross_product(w,apply(cross_product(x,y),z))),f30(u,v,cross_product(w,apply(cross_product(x,y),z))))),sigma(y))*. % 299.97/300.41 105394[0:Res:4278.1,26698.0] || member(u,compose(v,cross_product(apply(cross_product(w,x),y),z))) -> member(first(ordered_pair(f31(u,v,cross_product(apply(cross_product(w,x),y),z)),f30(u,v,cross_product(apply(cross_product(w,x),y),z)))),sigma(x))*. % 299.97/300.41 105384[0:Res:4353.1,26698.0] || member(u,compose(cross_product(apply(cross_product(v,w),x),y),z)) -> member(first(ordered_pair(f29(u,cross_product(apply(cross_product(v,w),x),y),z),f31(u,cross_product(apply(cross_product(v,w),x),y),z))),sigma(w))*. % 299.97/300.41 105322[0:Res:4354.1,26698.0] || member(u,compose(cross_product(v,apply(cross_product(w,x),y)),z)) -> member(second(ordered_pair(f29(u,cross_product(v,apply(cross_product(w,x),y)),z),f31(u,cross_product(v,apply(cross_product(w,x),y)),z))),sigma(x))*. % 299.97/300.41 7899[3:Res:52.1,6176.0] || member(u,rotate_right(converse(v))) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f10(u,converse(v)),ordered_pair(f11(u,converse(v)),f9(u,converse(v))))),first(ordered_pair(f10(u,converse(v)),ordered_pair(f11(u,converse(v)),f9(u,converse(v)))))))*. % 299.97/300.41 7898[3:Res:58.1,6176.0] || member(u,flip_range_of(converse(v))) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f12(u,converse(v)),ordered_pair(f14(u,converse(v)),f13(u,converse(v))))),first(ordered_pair(f12(u,converse(v)),ordered_pair(f14(u,converse(v)),f13(u,converse(v)))))))*. % 299.97/300.41 11123[0:Res:142.3,4238.0] || closed(u,v) closed(compose(w,x),y) maps(z,compose(w,x),u) equal(x1,f32(z,compose(w,x),y,u,v))* -> homomorphism(z,compose(w,x),y,u,v) ordered_pair_predicate(x1)*. % 299.97/300.41 11122[0:Res:143.3,4238.0] || closed(u,v) closed(compose(w,x),y) maps(z,compose(w,x),u) equal(x1,f33(z,compose(w,x),y,u,v))* -> homomorphism(z,compose(w,x),y,u,v) ordered_pair_predicate(x1)*. % 299.97/300.41 21453[0:Res:540.1,8.0] || -> single_valued_set(cross_product(u,non_ordered_pair(v,w))) equal(second(ordered_pair(f19(cross_product(u,non_ordered_pair(v,w))),f21(cross_product(u,non_ordered_pair(v,w))))),w)** equal(second(ordered_pair(f19(cross_product(u,non_ordered_pair(v,w))),f21(cross_product(u,non_ordered_pair(v,w))))),v)**. % 299.97/300.41 21613[0:Res:541.1,8.0] || -> single_valued_set(cross_product(u,non_ordered_pair(v,w))) equal(second(ordered_pair(f19(cross_product(u,non_ordered_pair(v,w))),f20(cross_product(u,non_ordered_pair(v,w))))),w)** equal(second(ordered_pair(f19(cross_product(u,non_ordered_pair(v,w))),f20(cross_product(u,non_ordered_pair(v,w))))),v)**. % 299.97/300.41 21692[0:Res:553.1,8.0] || -> single_valued_set(cross_product(non_ordered_pair(u,v),w)) equal(first(ordered_pair(f19(cross_product(non_ordered_pair(u,v),w)),f21(cross_product(non_ordered_pair(u,v),w)))),v)** equal(first(ordered_pair(f19(cross_product(non_ordered_pair(u,v),w)),f21(cross_product(non_ordered_pair(u,v),w)))),u)**. % 299.97/300.41 21781[0:Res:554.1,8.0] || -> single_valued_set(cross_product(non_ordered_pair(u,v),w)) equal(first(ordered_pair(f19(cross_product(non_ordered_pair(u,v),w)),f20(cross_product(non_ordered_pair(u,v),w)))),v)** equal(first(ordered_pair(f19(cross_product(non_ordered_pair(u,v),w)),f20(cross_product(non_ordered_pair(u,v),w)))),u)**. % 299.97/300.41 21924[0:Res:554.1,1009.0] || subset(u,v) -> single_valued_set(cross_product(converse(u),w)) member(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(u),w)),f20(cross_product(converse(u),w))))),first(first(ordered_pair(f19(cross_product(converse(u),w)),f20(cross_product(converse(u),w)))))),v)*. % 299.97/300.41 21923[0:Res:553.1,1009.0] || subset(u,v) -> single_valued_set(cross_product(converse(u),w)) member(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(u),w)),f21(cross_product(converse(u),w))))),first(first(ordered_pair(f19(cross_product(converse(u),w)),f21(cross_product(converse(u),w)))))),v)*. % 299.97/300.41 21915[0:Res:136.1,1009.0] || member(u,compose(v,converse(w))) subset(w,x) -> member(ordered_pair(second(ordered_pair(f31(u,v,converse(w)),f30(u,v,converse(w)))),first(ordered_pair(f31(u,v,converse(w)),f30(u,v,converse(w))))),x)*. % 299.97/300.41 21907[0:Res:135.1,1009.0] || member(u,compose(converse(v),w)) subset(v,x) -> member(ordered_pair(second(ordered_pair(f29(u,converse(v),w),f31(u,converse(v),w))),first(ordered_pair(f29(u,converse(v),w),f31(u,converse(v),w)))),x)*. % 299.97/300.41 21887[0:Res:541.1,1009.0] || subset(u,v) -> single_valued_set(cross_product(w,converse(u))) member(ordered_pair(second(second(ordered_pair(f19(cross_product(w,converse(u))),f20(cross_product(w,converse(u)))))),first(second(ordered_pair(f19(cross_product(w,converse(u))),f20(cross_product(w,converse(u))))))),v)*. % 299.97/300.41 21886[0:Res:540.1,1009.0] || subset(u,v) -> single_valued_set(cross_product(w,converse(u))) member(ordered_pair(second(second(ordered_pair(f19(cross_product(w,converse(u))),f21(cross_product(w,converse(u)))))),first(second(ordered_pair(f19(cross_product(w,converse(u))),f21(cross_product(w,converse(u))))))),v)*. % 299.97/300.41 27058[0:Res:1549.1,1020.0] || member(u,image(cross_product(converse(intersection(v,w)),x),y)) -> member(ordered_pair(second(first(first(f22(u,cross_product(converse(intersection(v,w)),x),y)))),first(first(first(f22(u,cross_product(converse(intersection(v,w)),x),y))))),v)*. % 299.97/300.41 27057[0:Res:1549.1,1021.0] || member(u,image(cross_product(converse(intersection(v,w)),x),y)) -> member(ordered_pair(second(first(first(f22(u,cross_product(converse(intersection(v,w)),x),y)))),first(first(first(f22(u,cross_product(converse(intersection(v,w)),x),y))))),w)*. % 299.97/300.41 27203[0:Res:1550.1,1020.0] || member(u,image(cross_product(v,converse(intersection(w,x))),y)) -> member(ordered_pair(second(second(first(f22(u,cross_product(v,converse(intersection(w,x))),y)))),first(second(first(f22(u,cross_product(v,converse(intersection(w,x))),y))))),w)*. % 299.97/300.41 27202[0:Res:1550.1,1021.0] || member(u,image(cross_product(v,converse(intersection(w,x))),y)) -> member(ordered_pair(second(second(first(f22(u,cross_product(v,converse(intersection(w,x))),y)))),first(second(first(f22(u,cross_product(v,converse(intersection(w,x))),y))))),x)*. % 299.97/300.41 31392[0:Res:3824.2,3811.0] || -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),u)* equal(x,f1(u,intersection(v,w))) member(f1(x,f1(u,intersection(v,w))),x)* member(f1(x,f1(u,intersection(v,w))),sigma(v))*. % 299.97/300.41 31391[0:Res:3824.2,3829.0] || -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),u)* equal(f1(u,intersection(v,w)),x) member(f1(f1(u,intersection(v,w)),x),x)* member(f1(f1(u,intersection(v,w)),x),sigma(v))*. % 299.97/300.41 31334[0:Res:3824.1,3811.0] || -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),v)* equal(x,f1(u,intersection(v,w))) member(f1(x,f1(u,intersection(v,w))),x)* member(f1(x,f1(u,intersection(v,w))),sigma(u))*. % 299.97/300.41 31333[0:Res:3824.1,3829.0] || -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),v)* equal(f1(u,intersection(v,w)),x) member(f1(f1(u,intersection(v,w)),x),x)* member(f1(f1(u,intersection(v,w)),x),sigma(u))*. % 299.97/300.41 31602[0:Res:3825.2,3811.0] || -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),u)* equal(x,f1(u,intersection(v,w))) member(f1(x,f1(u,intersection(v,w))),x)* member(f1(x,f1(u,intersection(v,w))),sigma(w))*. % 299.97/300.41 31601[0:Res:3825.2,3829.0] || -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),u)* equal(f1(u,intersection(v,w)),x) member(f1(f1(u,intersection(v,w)),x),x)* member(f1(f1(u,intersection(v,w)),x),sigma(w))*. % 299.97/300.41 31544[0:Res:3825.1,3811.0] || -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),w)* equal(x,f1(u,intersection(v,w))) member(f1(x,f1(u,intersection(v,w))),x)* member(f1(x,f1(u,intersection(v,w))),sigma(u))*. % 299.97/300.41 31543[0:Res:3825.1,3829.0] || -> equal(u,intersection(v,w)) member(f1(u,intersection(v,w)),w)* equal(f1(u,intersection(v,w)),x) member(f1(f1(u,intersection(v,w)),x),x)* member(f1(f1(u,intersection(v,w)),x),sigma(u))*. % 299.97/300.41 31785[0:Res:3842.2,3811.0] || -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),w)* equal(x,f1(intersection(u,v),w)) member(f1(x,f1(intersection(u,v),w)),x)* member(f1(x,f1(intersection(u,v),w)),sigma(u))*. % 299.97/300.41 31784[0:Res:3842.2,3829.0] || -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),w)* equal(f1(intersection(u,v),w),x) member(f1(f1(intersection(u,v),w),x),x)* member(f1(f1(intersection(u,v),w),x),sigma(u))*. % 299.97/300.41 31727[0:Res:3842.1,3811.0] || -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),u)* equal(x,f1(intersection(u,v),w)) member(f1(x,f1(intersection(u,v),w)),x)* member(f1(x,f1(intersection(u,v),w)),sigma(w))*. % 299.97/300.41 31726[0:Res:3842.1,3829.0] || -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),u)* equal(f1(intersection(u,v),w),x) member(f1(f1(intersection(u,v),w),x),x)* member(f1(f1(intersection(u,v),w),x),sigma(w))*. % 299.97/300.41 31966[0:Res:3843.2,3811.0] || -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),w)* equal(x,f1(intersection(u,v),w)) member(f1(x,f1(intersection(u,v),w)),x)* member(f1(x,f1(intersection(u,v),w)),sigma(v))*. % 299.97/300.41 31965[0:Res:3843.2,3829.0] || -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),w)* equal(f1(intersection(u,v),w),x) member(f1(f1(intersection(u,v),w),x),x)* member(f1(f1(intersection(u,v),w),x),sigma(v))*. % 299.97/300.41 31908[0:Res:3843.1,3811.0] || -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),v)* equal(x,f1(intersection(u,v),w)) member(f1(x,f1(intersection(u,v),w)),x)* member(f1(x,f1(intersection(u,v),w)),sigma(w))*. % 299.97/300.41 31907[0:Res:3843.1,3829.0] || -> equal(intersection(u,v),w) member(f1(intersection(u,v),w),v)* equal(f1(intersection(u,v),w),x) member(f1(f1(intersection(u,v),w),x),x)* member(f1(f1(intersection(u,v),w),x),sigma(w))*. % 299.97/300.41 32804[0:Res:3836.2,1163.0] || member(u,v) -> equal(cross_product(w,converse(u)),x) member(f1(cross_product(w,converse(u)),x),x) member(ordered_pair(second(second(f1(cross_product(w,converse(u)),x))),first(second(f1(cross_product(w,converse(u)),x)))),sigma(v))*. % 299.97/300.41 32773[0:Res:3836.1,1421.0] || -> equal(cross_product(u,v),ordered_pair(w,x)) member(second(f1(cross_product(u,v),ordered_pair(w,x))),v)* equal(f1(cross_product(u,v),ordered_pair(w,x)),non_ordered_pair(w,x)) equal(f1(cross_product(u,v),ordered_pair(w,x)),singleton_set(w)). % 299.97/300.41 32969[0:Res:3835.2,1163.0] || member(u,v) -> equal(cross_product(converse(u),w),x) member(f1(cross_product(converse(u),w),x),x) member(ordered_pair(second(first(f1(cross_product(converse(u),w),x))),first(first(f1(cross_product(converse(u),w),x)))),sigma(v))*. % 299.97/300.41 32938[0:Res:3835.1,1421.0] || -> equal(cross_product(u,v),ordered_pair(w,x)) member(first(f1(cross_product(u,v),ordered_pair(w,x))),u)* equal(f1(cross_product(u,v),ordered_pair(w,x)),non_ordered_pair(w,x)) equal(f1(cross_product(u,v),ordered_pair(w,x)),singleton_set(w)). % 299.97/300.41 33140[0:Res:3818.2,1163.0] || member(u,v) -> equal(w,cross_product(x,converse(u))) member(f1(w,cross_product(x,converse(u))),w) member(ordered_pair(second(second(f1(w,cross_product(x,converse(u))))),first(second(f1(w,cross_product(x,converse(u)))))),sigma(v))*. % 299.97/300.41 33109[0:Res:3818.1,1421.0] || -> equal(ordered_pair(u,v),cross_product(w,x)) member(second(f1(ordered_pair(u,v),cross_product(w,x))),x)* equal(f1(ordered_pair(u,v),cross_product(w,x)),non_ordered_pair(u,v)) equal(f1(ordered_pair(u,v),cross_product(w,x)),singleton_set(u)). % 299.97/300.41 33306[0:Res:3817.2,1163.0] || member(u,v) -> equal(w,cross_product(converse(u),x)) member(f1(w,cross_product(converse(u),x)),w) member(ordered_pair(second(first(f1(w,cross_product(converse(u),x)))),first(first(f1(w,cross_product(converse(u),x))))),sigma(v))*. % 299.97/300.41 33275[0:Res:3817.1,1421.0] || -> equal(ordered_pair(u,v),cross_product(w,x)) member(first(f1(ordered_pair(u,v),cross_product(w,x))),w)* equal(f1(ordered_pair(u,v),cross_product(w,x)),non_ordered_pair(u,v)) equal(f1(ordered_pair(u,v),cross_product(w,x)),singleton_set(u)). % 299.97/300.41 33613[0:Res:46.1,1441.0] || member(u,converse(converse(non_ordered_pair(v,w))))* -> equal(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),w)* equal(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)*. % 299.97/300.41 33958[3:Res:6202.3,3811.0] || member(u,v) equal(first(u),w) -> disjoint(x,second(u)) equal(y,f23(x,second(u))) member(f1(y,f23(x,second(u))),y)* member(f1(y,f23(x,second(u))),sigma(apply(v,w)))*. % 299.97/300.41 33957[3:Res:6202.3,3829.0] || member(u,v) equal(first(u),w) -> disjoint(x,second(u)) equal(f23(x,second(u)),y) member(f1(f23(x,second(u)),y),y)* member(f1(f23(x,second(u)),y),sigma(apply(v,w)))*. % 299.97/300.41 34104[3:Res:6205.3,3811.0] || member(u,v) equal(first(u),w) -> disjoint(second(u),x) equal(y,f23(second(u),x)) member(f1(y,f23(second(u),x)),y)* member(f1(y,f23(second(u),x)),sigma(apply(v,w)))*. % 299.97/300.41 34103[3:Res:6205.3,3829.0] || member(u,v) equal(first(u),w) -> disjoint(second(u),x) equal(f23(second(u),x),y) member(f1(f23(second(u),x),y),y)* member(f1(f23(second(u),x),y),sigma(apply(v,w)))*. % 299.97/300.41 34179[3:Res:6206.3,3811.0] || member(u,v) equal(first(u),w) -> subset(second(u),x) equal(y,f17(second(u),x)) member(f1(y,f17(second(u),x)),y)* member(f1(y,f17(second(u),x)),sigma(apply(v,w)))*. % 299.97/300.41 34178[3:Res:6206.3,3829.0] || member(u,v) equal(first(u),w) -> subset(second(u),x) equal(f17(second(u),x),y) member(f1(f17(second(u),x),y),y)* member(f1(f17(second(u),x),y),sigma(apply(v,w)))*. % 299.97/300.41 34342[0:Res:556.1,1437.0] || -> disjoint(u,cross_product(range_of(non_ordered_pair(v,w)),x)) equal(f27(first(f23(u,cross_product(range_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f27(first(f23(u,cross_product(range_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34338[0:Res:552.1,1437.0] || -> subset(cross_product(range_of(non_ordered_pair(u,v)),w),x) equal(f27(first(f17(cross_product(range_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),v)** equal(f27(first(f17(cross_product(range_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34337[0:Res:551.1,1437.0] || -> disjoint(cross_product(range_of(non_ordered_pair(u,v)),w),x) equal(f27(first(f23(cross_product(range_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),v)** equal(f27(first(f23(cross_product(range_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34312[0:Res:427.1,1437.0] || member(u,range_of(intersection(v,range_of(non_ordered_pair(w,x))))) -> equal(f27(f27(u,intersection(v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f27(f27(u,intersection(v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34310[0:Res:456.1,1437.0] || member(u,sigma(intersection(v,range_of(non_ordered_pair(w,x))))) -> equal(f27(f16(u,intersection(v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f27(f16(u,intersection(v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34308[0:Res:494.1,1437.0] || member(u,domain_of(intersection(v,range_of(non_ordered_pair(w,x))))) -> equal(f27(f8(u,intersection(v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f27(f8(u,intersection(v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34296[0:Res:543.1,1437.0] || -> disjoint(u,cross_product(v,range_of(non_ordered_pair(w,x)))) equal(f27(second(f23(u,cross_product(v,range_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f27(second(f23(u,cross_product(v,range_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34288[0:Res:539.1,1437.0] || -> subset(cross_product(u,range_of(non_ordered_pair(v,w))),x) equal(f27(second(f17(cross_product(u,range_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),w)** equal(f27(second(f17(cross_product(u,range_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34287[0:Res:538.1,1437.0] || -> disjoint(cross_product(u,range_of(non_ordered_pair(v,w))),x) equal(f27(second(f23(cross_product(u,range_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),w)** equal(f27(second(f23(cross_product(u,range_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34282[0:Res:6.1,1437.0] || -> equal(u,range_of(non_ordered_pair(v,w))) member(f1(u,range_of(non_ordered_pair(v,w))),u)* equal(f27(f1(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f27(f1(u,range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34279[0:Res:426.1,1437.0] || member(u,range_of(intersection(range_of(non_ordered_pair(v,w)),x))) -> equal(f27(f27(u,intersection(range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f27(f27(u,intersection(range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34277[0:Res:455.1,1437.0] || member(u,sigma(intersection(range_of(non_ordered_pair(v,w)),x))) -> equal(f27(f16(u,intersection(range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f27(f16(u,intersection(range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34275[0:Res:493.1,1437.0] || member(u,domain_of(intersection(range_of(non_ordered_pair(v,w)),x))) -> equal(f27(f8(u,intersection(range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f27(f8(u,intersection(range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34242[0:Res:6.2,1437.0] || -> equal(range_of(non_ordered_pair(u,v)),w) member(f1(range_of(non_ordered_pair(u,v)),w),w)* equal(f27(f1(range_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),v)** equal(f27(f1(range_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34514[0:Res:556.1,1438.0] || -> disjoint(u,cross_product(sigma(non_ordered_pair(v,w)),x)) equal(f16(first(f23(u,cross_product(sigma(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f16(first(f23(u,cross_product(sigma(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34510[0:Res:552.1,1438.0] || -> subset(cross_product(sigma(non_ordered_pair(u,v)),w),x) equal(f16(first(f17(cross_product(sigma(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),v)** equal(f16(first(f17(cross_product(sigma(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34509[0:Res:551.1,1438.0] || -> disjoint(cross_product(sigma(non_ordered_pair(u,v)),w),x) equal(f16(first(f23(cross_product(sigma(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),v)** equal(f16(first(f23(cross_product(sigma(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34484[0:Res:427.1,1438.0] || member(u,range_of(intersection(v,sigma(non_ordered_pair(w,x))))) -> equal(f16(f27(u,intersection(v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f16(f27(u,intersection(v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34482[0:Res:456.1,1438.0] || member(u,sigma(intersection(v,sigma(non_ordered_pair(w,x))))) -> equal(f16(f16(u,intersection(v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f16(f16(u,intersection(v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34480[0:Res:494.1,1438.0] || member(u,domain_of(intersection(v,sigma(non_ordered_pair(w,x))))) -> equal(f16(f8(u,intersection(v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f16(f8(u,intersection(v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34468[0:Res:543.1,1438.0] || -> disjoint(u,cross_product(v,sigma(non_ordered_pair(w,x)))) equal(f16(second(f23(u,cross_product(v,sigma(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f16(second(f23(u,cross_product(v,sigma(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34460[0:Res:539.1,1438.0] || -> subset(cross_product(u,sigma(non_ordered_pair(v,w))),x) equal(f16(second(f17(cross_product(u,sigma(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),w)** equal(f16(second(f17(cross_product(u,sigma(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34459[0:Res:538.1,1438.0] || -> disjoint(cross_product(u,sigma(non_ordered_pair(v,w))),x) equal(f16(second(f23(cross_product(u,sigma(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),w)** equal(f16(second(f23(cross_product(u,sigma(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34454[0:Res:6.1,1438.0] || -> equal(u,sigma(non_ordered_pair(v,w))) member(f1(u,sigma(non_ordered_pair(v,w))),u)* equal(f16(f1(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f16(f1(u,sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34451[0:Res:426.1,1438.0] || member(u,range_of(intersection(sigma(non_ordered_pair(v,w)),x))) -> equal(f16(f27(u,intersection(sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f16(f27(u,intersection(sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34449[0:Res:455.1,1438.0] || member(u,sigma(intersection(sigma(non_ordered_pair(v,w)),x))) -> equal(f16(f16(u,intersection(sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f16(f16(u,intersection(sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34447[0:Res:493.1,1438.0] || member(u,domain_of(intersection(sigma(non_ordered_pair(v,w)),x))) -> equal(f16(f8(u,intersection(sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f16(f8(u,intersection(sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34409[0:Res:6.2,1438.0] || -> equal(sigma(non_ordered_pair(u,v)),w) member(f1(sigma(non_ordered_pair(u,v)),w),w)* equal(f16(f1(sigma(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),v)** equal(f16(f1(sigma(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34679[0:Res:556.1,1439.0] || -> disjoint(u,cross_product(domain_of(non_ordered_pair(v,w)),x)) equal(f8(first(f23(u,cross_product(domain_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f8(first(f23(u,cross_product(domain_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34675[0:Res:552.1,1439.0] || -> subset(cross_product(domain_of(non_ordered_pair(u,v)),w),x) equal(f8(first(f17(cross_product(domain_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),v)** equal(f8(first(f17(cross_product(domain_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34674[0:Res:551.1,1439.0] || -> disjoint(cross_product(domain_of(non_ordered_pair(u,v)),w),x) equal(f8(first(f23(cross_product(domain_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),v)** equal(f8(first(f23(cross_product(domain_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),u)**. % 299.97/300.41 34649[0:Res:427.1,1439.0] || member(u,range_of(intersection(v,domain_of(non_ordered_pair(w,x))))) -> equal(f8(f27(u,intersection(v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f8(f27(u,intersection(v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34647[0:Res:456.1,1439.0] || member(u,sigma(intersection(v,domain_of(non_ordered_pair(w,x))))) -> equal(f8(f16(u,intersection(v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f8(f16(u,intersection(v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34645[0:Res:494.1,1439.0] || member(u,domain_of(intersection(v,domain_of(non_ordered_pair(w,x))))) -> equal(f8(f8(u,intersection(v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f8(f8(u,intersection(v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34633[0:Res:543.1,1439.0] || -> disjoint(u,cross_product(v,domain_of(non_ordered_pair(w,x)))) equal(f8(second(f23(u,cross_product(v,domain_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f8(second(f23(u,cross_product(v,domain_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 299.97/300.41 34625[0:Res:539.1,1439.0] || -> subset(cross_product(u,domain_of(non_ordered_pair(v,w))),x) equal(f8(second(f17(cross_product(u,domain_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),w)** equal(f8(second(f17(cross_product(u,domain_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34624[0:Res:538.1,1439.0] || -> disjoint(cross_product(u,domain_of(non_ordered_pair(v,w))),x) equal(f8(second(f23(cross_product(u,domain_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),w)** equal(f8(second(f23(cross_product(u,domain_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34619[0:Res:6.1,1439.0] || -> equal(u,domain_of(non_ordered_pair(v,w))) member(f1(u,domain_of(non_ordered_pair(v,w))),u)* equal(f8(f1(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f8(f1(u,domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34616[0:Res:426.1,1439.0] || member(u,range_of(intersection(domain_of(non_ordered_pair(v,w)),x))) -> equal(f8(f27(u,intersection(domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f8(f27(u,intersection(domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34614[0:Res:455.1,1439.0] || member(u,sigma(intersection(domain_of(non_ordered_pair(v,w)),x))) -> equal(f8(f16(u,intersection(domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f8(f16(u,intersection(domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34612[0:Res:493.1,1439.0] || member(u,domain_of(intersection(domain_of(non_ordered_pair(v,w)),x))) -> equal(f8(f8(u,intersection(domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f8(f8(u,intersection(domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 299.97/300.41 34579[0:Res:6.2,1439.0] || -> equal(domain_of(non_ordered_pair(u,v)),w) member(f1(domain_of(non_ordered_pair(u,v)),w),w)* equal(f8(f1(domain_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),v)** equal(f8(f1(domain_of(non_ordered_pair(u,v)),w),non_ordered_pair(u,v)),u)**. % 299.97/300.41 35332[0:Res:4273.2,1009.0] || member(u,compose(v,w)) subset(w,converse(x))* subset(x,y)* -> member(ordered_pair(second(ordered_pair(f31(u,v,w),f30(u,v,w))),first(ordered_pair(f31(u,v,w),f30(u,v,w)))),y)*. % 299.97/300.41 35452[0:Res:4348.2,1009.0] || member(u,compose(v,w)) subset(v,converse(x))* subset(x,y)* -> member(ordered_pair(second(ordered_pair(f29(u,v,w),f31(u,v,w))),first(ordered_pair(f29(u,v,w),f31(u,v,w)))),y)*. % 299.97/300.41 35585[0:Res:4112.2,1140.1] ordered_pair_predicate(f4(u,v)) || member(ordered_pair(second(f4(u,v)),first(f4(u,v))),sigma(w)) member(u,first(v)) -> member(u,sigma(converse(f16(ordered_pair(second(f4(u,v)),first(f4(u,v))),w))))*. % 299.97/300.41 35584[0:Res:4112.2,1139.1] ordered_pair_predicate(f7(u,v)) || member(ordered_pair(second(f7(u,v)),first(f7(u,v))),sigma(w)) member(u,second(v)) -> member(u,sigma(converse(f16(ordered_pair(second(f7(u,v)),first(f7(u,v))),w))))*. % 299.97/300.41 35644[3:SSi:35593.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),sigma(v)) disjoint(converse(f16(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),v)),u)* -> single_valued_set(u). % 299.97/300.41 35645[3:SSi:35592.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),sigma(v)) disjoint(converse(f16(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),v)),u)* -> single_valued_set(u). % 299.97/300.41 35646[3:SSi:35590.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),sigma(v)) member(u,converse(complement(converse(f16(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)))))* -> . % 299.97/300.41 35744[0:Res:4111.2,1140.1] ordered_pair_predicate(f4(u,v)) || member(ordered_pair(second(f4(u,v)),first(f4(u,v))),first(w)) member(u,first(v)) -> member(u,sigma(converse(f4(ordered_pair(second(f4(u,v)),first(f4(u,v))),w))))*. % 299.97/300.41 35743[0:Res:4111.2,1139.1] ordered_pair_predicate(f7(u,v)) || member(ordered_pair(second(f7(u,v)),first(f7(u,v))),first(w)) member(u,second(v)) -> member(u,sigma(converse(f4(ordered_pair(second(f7(u,v)),first(f7(u,v))),w))))*. % 299.97/300.41 35803[3:SSi:35752.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),first(v)) disjoint(converse(f4(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),v)),u)* -> single_valued_set(u). % 299.97/300.41 35804[3:SSi:35751.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),first(v)) disjoint(converse(f4(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),v)),u)* -> single_valued_set(u). % 299.97/300.41 35805[3:SSi:35749.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),first(v)) member(u,converse(complement(converse(f4(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)))))* -> . % 299.97/300.41 35963[0:Res:4110.2,1140.1] ordered_pair_predicate(f4(u,v)) || member(ordered_pair(second(f4(u,v)),first(f4(u,v))),second(w)) member(u,first(v)) -> member(u,sigma(converse(f7(ordered_pair(second(f4(u,v)),first(f4(u,v))),w))))*. % 299.97/300.41 35962[0:Res:4110.2,1139.1] ordered_pair_predicate(f7(u,v)) || member(ordered_pair(second(f7(u,v)),first(f7(u,v))),second(w)) member(u,second(v)) -> member(u,sigma(converse(f7(ordered_pair(second(f7(u,v)),first(f7(u,v))),w))))*. % 299.97/300.41 36022[3:SSi:35971.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),second(v)) disjoint(converse(f7(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),v)),u)* -> single_valued_set(u). % 299.97/300.41 36023[3:SSi:35970.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),second(v)) disjoint(converse(f7(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),v)),u)* -> single_valued_set(u). % 299.97/300.41 36024[3:SSi:35968.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),second(v)) member(u,converse(complement(converse(f7(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)))))* -> . % 299.97/300.41 36621[2:Rew:122.0,36602.2] || member(u,flip_range_of(v)) subset(v,second(f28(w,x,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))))* member(w,apply_to_two_arguments(x,f12(u,v),ordered_pair(f14(u,v),f13(u,v)))) -> . % 299.97/300.41 37049[2:Rew:122.0,37030.2] || member(u,rotate_right(v)) subset(v,second(f28(w,x,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))))* member(w,apply_to_two_arguments(x,f10(u,v),ordered_pair(f11(u,v),f9(u,v)))) -> . % 299.97/300.41 38147[0:Res:3651.2,4271.1] || member(ordered_pair(f31(u,v,w),f30(u,v,w)),cross_product(x,universal_set))* member(ordered_pair(f31(u,v,w),f30(u,v,w)),y)* member(u,compose(v,w)) disjoint(restrict(y,x),w)* -> . % 299.97/300.41 38171[3:SSi:38129.0,5742.0,371.1] || member(second(ordered_pair(f31(u,v,w),f30(u,v,w))),x)* member(first(ordered_pair(f31(u,v,w),f30(u,v,w))),y)* member(u,compose(v,w)) disjoint(cross_product(y,x),w)* -> . % 299.97/300.41 38266[0:Res:3651.2,4346.1] || member(ordered_pair(f29(u,v,w),f31(u,v,w)),cross_product(x,universal_set))* member(ordered_pair(f29(u,v,w),f31(u,v,w)),y)* member(u,compose(v,w)) disjoint(restrict(y,x),v)* -> . % 299.97/300.41 38290[3:SSi:38248.0,5742.0,371.1] || member(second(ordered_pair(f29(u,v,w),f31(u,v,w))),x)* member(first(ordered_pair(f29(u,v,w),f31(u,v,w))),y)* member(u,compose(v,w)) disjoint(cross_product(y,x),v)* -> . % 299.97/300.41 38840[0:Res:378.3,4457.3] ordered_pair_predicate(cross_product(u,v)) ordered_pair_predicate(w) || member(second(cross_product(u,v)),x)* member(first(cross_product(u,v)),y)* member(second(w),v)* member(first(w),u)* -> member(w,sigma(cross_product(y,x)))*. % 299.97/300.41 40286[0:Res:1351.1,5068.1] || member(u,image(v,intersection(w,ordered_pair(f10(x,y),f11(x,y))))) member(x,rotate_right(y)) equal(z,x) -> member(f22(u,v,intersection(w,ordered_pair(f10(x,y),f11(x,y)))),second(z))*. % 299.97/300.41 40266[0:Res:4770.2,5068.1] || member(u,rotate_right(v)) subset(v,ordered_pair(f10(w,x),f11(w,x)))* member(w,rotate_right(x)) equal(y,w)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),second(y))*. % 299.97/300.41 40265[0:Res:4622.2,5068.1] || member(u,flip_range_of(v)) subset(v,ordered_pair(f10(w,x),f11(w,x)))* member(w,rotate_right(x)) equal(y,w)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),second(y))*. % 299.97/300.41 40246[0:Res:1286.1,5068.1] || member(u,apply(intersection(v,ordered_pair(f10(w,x),f11(w,x))),y)) member(w,rotate_right(x)) equal(z,w) -> member(f28(u,intersection(v,ordered_pair(f10(w,x),f11(w,x))),y),second(z))*. % 299.97/300.41 40236[0:Res:1350.1,5068.1] || member(u,image(v,intersection(ordered_pair(f10(w,x),f11(w,x)),y))) member(w,rotate_right(x)) equal(z,w) -> member(f22(u,v,intersection(ordered_pair(f10(w,x),f11(w,x)),y)),second(z))*. % 299.97/300.41 40214[0:Res:1285.1,5068.1] || member(u,apply(intersection(ordered_pair(f10(v,w),f11(v,w)),x),y)) member(v,rotate_right(w)) equal(z,v) -> member(f28(u,intersection(ordered_pair(f10(v,w),f11(v,w)),x),y),second(z))*. % 299.97/300.41 40466[0:Res:1351.1,5070.1] || member(u,image(v,intersection(w,ordered_pair(f13(x,y),f14(x,y))))) member(x,flip_range_of(y)) equal(z,x) -> member(f22(u,v,intersection(w,ordered_pair(f13(x,y),f14(x,y)))),second(z))*. % 299.97/300.41 40446[0:Res:4770.2,5070.1] || member(u,rotate_right(v)) subset(v,ordered_pair(f13(w,x),f14(w,x)))* member(w,flip_range_of(x)) equal(y,w)* -> member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),second(y))*. % 299.97/300.41 40445[0:Res:4622.2,5070.1] || member(u,flip_range_of(v)) subset(v,ordered_pair(f13(w,x),f14(w,x)))* member(w,flip_range_of(x)) equal(y,w)* -> member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),second(y))*. % 299.97/300.41 40426[0:Res:1286.1,5070.1] || member(u,apply(intersection(v,ordered_pair(f13(w,x),f14(w,x))),y)) member(w,flip_range_of(x)) equal(z,w) -> member(f28(u,intersection(v,ordered_pair(f13(w,x),f14(w,x))),y),second(z))*. % 299.97/300.41 40416[0:Res:1350.1,5070.1] || member(u,image(v,intersection(ordered_pair(f13(w,x),f14(w,x)),y))) member(w,flip_range_of(x)) equal(z,w) -> member(f22(u,v,intersection(ordered_pair(f13(w,x),f14(w,x)),y)),second(z))*. % 299.97/300.41 40394[0:Res:1285.1,5070.1] || member(u,apply(intersection(ordered_pair(f13(v,w),f14(v,w)),x),y)) member(v,flip_range_of(w)) equal(z,v) -> member(f28(u,intersection(ordered_pair(f13(v,w),f14(v,w)),x),y),second(z))*. % 299.97/300.41 40544[3:Res:5054.3,6235.0] little_set(u) little_set(v) || member(second(f17(w,cross_product(x,second(ordered_pair(v,u))))),u)* member(first(f17(w,cross_product(x,second(ordered_pair(v,u))))),x)* -> subset(w,cross_product(x,second(ordered_pair(v,u)))). % 299.97/300.41 40543[3:Res:5009.3,6235.0] little_set(u) little_set(v) || member(second(f17(w,cross_product(x,first(ordered_pair(v,u))))),v)* member(first(f17(w,cross_product(x,first(ordered_pair(v,u))))),x)* -> subset(w,cross_product(x,first(ordered_pair(v,u)))). % 299.97/300.41 40725[0:Res:1468.2,1009.0] || member(u,image(v,w)) member(f22(u,v,w),converse(converse(x)))* subset(x,y)* -> member(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),y)*. % 299.97/300.41 40871[0:Res:1464.2,1009.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(converse(x)))* subset(x,y)* -> member(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),y)*. % 299.97/300.41 41246[0:Res:4286.1,314.0] || member(u,compose(v,intersection(w,intersection(complement(x),complement(y))))) member(ordered_pair(f31(u,v,intersection(w,intersection(complement(x),complement(y)))),f30(u,v,intersection(w,intersection(complement(x),complement(y))))),union(x,y))* -> . % 299.97/300.41 41485[0:Res:4285.1,314.0] || member(u,compose(v,intersection(intersection(complement(w),complement(x)),y))) member(ordered_pair(f31(u,v,intersection(intersection(complement(w),complement(x)),y)),f30(u,v,intersection(intersection(complement(w),complement(x)),y))),union(w,x))* -> . % 299.97/300.41 41623[0:Res:4361.1,314.0] || member(u,compose(intersection(v,intersection(complement(w),complement(x))),y)) member(ordered_pair(f29(u,intersection(v,intersection(complement(w),complement(x))),y),f31(u,intersection(v,intersection(complement(w),complement(x))),y)),union(w,x))* -> . % 299.97/300.41 41745[0:Res:4360.1,314.0] || member(u,compose(intersection(intersection(complement(v),complement(w)),x),y)) member(ordered_pair(f29(u,intersection(intersection(complement(v),complement(w)),x),y),f31(u,intersection(intersection(complement(v),complement(w)),x),y)),union(v,w))* -> . % 299.97/300.41 42086[3:Res:1544.2,6212.0] || member(u,image(v,w)) subset(v,converse(second(x)))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),apply(y,z))*. % 299.97/300.41 42010[3:Res:6.1,6212.0] || member(u,v) equal(first(u),w) -> equal(x,converse(second(u))) member(f1(x,converse(second(u))),x) member(ordered_pair(second(f1(x,converse(second(u)))),first(f1(x,converse(second(u))))),apply(v,w))*. % 299.97/300.41 41993[3:Res:94.1,6212.0] || member(u,image(converse(second(v)),w)) member(v,x) equal(first(v),y) -> member(ordered_pair(second(first(f22(u,converse(second(v)),w))),first(first(f22(u,converse(second(v)),w)))),apply(x,y))*. % 299.97/300.41 41969[3:Res:6.2,6212.0] || member(u,v) equal(first(u),w) -> equal(converse(second(u)),x) member(f1(converse(second(u)),x),x) member(ordered_pair(second(f1(converse(second(u)),x)),first(f1(converse(second(u)),x))),apply(v,w))*. % 299.97/300.41 41967[3:Res:86.1,6212.0] || member(u,v) equal(first(u),w) -> single_valued_set(converse(second(u))) member(ordered_pair(second(ordered_pair(f19(converse(second(u))),f20(converse(second(u))))),first(ordered_pair(f19(converse(second(u))),f20(converse(second(u)))))),apply(v,w))*. % 299.97/300.41 41966[3:Res:87.1,6212.0] || member(u,v) equal(first(u),w) -> single_valued_set(converse(second(u))) member(ordered_pair(second(ordered_pair(f19(converse(second(u))),f21(converse(second(u))))),first(ordered_pair(f19(converse(second(u))),f21(converse(second(u)))))),apply(v,w))*. % 299.97/300.41 42386[3:Res:4279.1,6192.1] || member(u,compose(v,cross_product(w,second(x)))) member(x,y) equal(first(x),z) -> member(second(ordered_pair(f31(u,v,cross_product(w,second(x))),f30(u,v,cross_product(w,second(x))))),apply(y,z))*. % 299.97/300.41 42497[3:Res:4278.1,6192.1] || member(u,compose(v,cross_product(second(w),x))) member(w,y) equal(first(w),z) -> member(first(ordered_pair(f31(u,v,cross_product(second(w),x)),f30(u,v,cross_product(second(w),x)))),apply(y,z))*. % 299.97/300.41 42644[3:Res:4354.1,6192.1] || member(u,compose(cross_product(v,second(w)),x)) member(w,y) equal(first(w),z) -> member(second(ordered_pair(f29(u,cross_product(v,second(w)),x),f31(u,cross_product(v,second(w)),x))),apply(y,z))*. % 299.97/300.41 42786[3:Res:4353.1,6192.1] || member(u,compose(cross_product(second(v),w),x)) member(v,y) equal(first(v),z) -> member(first(ordered_pair(f29(u,cross_product(second(v),w),x),f31(u,cross_product(second(v),w),x))),apply(y,z))*. % 299.97/300.41 42982[0:Res:1544.2,1442.0] || member(u,image(v,w)) subset(v,apply(non_ordered_pair(x,y),z)) -> equal(f28(first(f22(u,v,w)),non_ordered_pair(x,y),z),y)** equal(f28(first(f22(u,v,w)),non_ordered_pair(x,y),z),x)**. % 299.97/300.41 42892[0:Res:395.0,1442.0] || -> subset(u,complement(apply(non_ordered_pair(v,w),x))) equal(f28(f17(u,complement(apply(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x),w)** equal(f28(f17(u,complement(apply(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x),v)**. % 299.97/300.41 42873[2:Res:25246.0,1442.0] || -> equal(complement(apply(non_ordered_pair(u,v),w)),universal_set) equal(f28(f1(universal_set,complement(apply(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w),v)** equal(f28(f1(universal_set,complement(apply(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w),u)**. % 299.97/300.41 42871[0:Res:4258.0,1442.0] || -> equal(complement(apply(non_ordered_pair(u,v),w)),universal_set) equal(f28(f1(complement(apply(non_ordered_pair(u,v),w)),universal_set),non_ordered_pair(u,v),w),v)** equal(f28(f1(complement(apply(non_ordered_pair(u,v),w)),universal_set),non_ordered_pair(u,v),w),u)**. % 299.97/300.41 43159[0:Res:1544.2,1443.0] || member(u,image(v,w)) subset(v,image(x,non_ordered_pair(y,z))) -> equal(f22(first(f22(u,v,w)),x,non_ordered_pair(y,z)),z)** equal(f22(first(f22(u,v,w)),x,non_ordered_pair(y,z)),y)**. % 299.97/300.41 43069[0:Res:395.0,1443.0] || -> subset(u,complement(image(v,non_ordered_pair(w,x)))) equal(f22(f17(u,complement(image(v,non_ordered_pair(w,x)))),v,non_ordered_pair(w,x)),x)** equal(f22(f17(u,complement(image(v,non_ordered_pair(w,x)))),v,non_ordered_pair(w,x)),w)**. % 299.97/300.41 43050[2:Res:25246.0,1443.0] || -> equal(complement(image(u,non_ordered_pair(v,w))),universal_set) equal(f22(f1(universal_set,complement(image(u,non_ordered_pair(v,w)))),u,non_ordered_pair(v,w)),w)** equal(f22(f1(universal_set,complement(image(u,non_ordered_pair(v,w)))),u,non_ordered_pair(v,w)),v)**. % 299.97/300.41 43048[0:Res:4258.0,1443.0] || -> equal(complement(image(u,non_ordered_pair(v,w))),universal_set) equal(f22(f1(complement(image(u,non_ordered_pair(v,w))),universal_set),u,non_ordered_pair(v,w)),w)** equal(f22(f1(complement(image(u,non_ordered_pair(v,w))),universal_set),u,non_ordered_pair(v,w)),v)**. % 299.97/300.41 43402[0:Res:4108.2,1136.2] ordered_pair_predicate(powerset(u)) little_set(v) || member(ordered_pair(second(powerset(u)),first(powerset(u))),apply(w,x)) subset(v,u) -> member(v,sigma(converse(second(f28(ordered_pair(second(powerset(u)),first(powerset(u))),w,x)))))*. % 299.97/300.41 43463[3:SSi:43424.0,5742.0,11.1] little_set(u) || member(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),apply(x,y)) equal(u,v) -> member(u,sigma(converse(second(f28(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),x,y)))))*. % 299.97/300.41 43464[3:SSi:43423.0,5742.0,11.1] little_set(u) || member(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),apply(x,y)) equal(u,w) -> member(u,sigma(converse(second(f28(ordered_pair(second(non_ordered_pair(v,w)),first(non_ordered_pair(v,w))),x,y)))))*. % 299.97/300.41 43486[0:MRR:43485.0,117.1] || member(ordered_pair(second(f28(u,v,w)),w),apply(x,y)) member(u,apply(v,w)) equal(w,z) -> member(u,apply(converse(second(f28(ordered_pair(second(f28(u,v,w)),w),x,y))),z))*. % 299.97/300.41 44034[0:MRR:43955.0,43955.1,85.1,83.1] little_set(u) || member(ordered_pair(u,ordered_pair(f21(non_ordered_pair(v,w)),f19(non_ordered_pair(v,w)))),x)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),w) member(ordered_pair(u,v),flip_range_of(x)). % 299.97/300.41 44035[0:MRR:43954.0,43954.1,85.1,83.1] little_set(u) || member(ordered_pair(f19(non_ordered_pair(v,w)),ordered_pair(f21(non_ordered_pair(v,w)),u)),x)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),w) member(ordered_pair(u,v),rotate_right(x)). % 299.97/300.41 44036[0:MRR:43931.0,43931.1,85.1,83.1] little_set(u) || member(ordered_pair(u,ordered_pair(f21(non_ordered_pair(v,w)),f19(non_ordered_pair(v,w)))),x)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),v) member(ordered_pair(u,w),flip_range_of(x)). % 299.97/300.41 44037[0:MRR:43930.0,43930.1,85.1,83.1] little_set(u) || member(ordered_pair(f19(non_ordered_pair(v,w)),ordered_pair(f21(non_ordered_pair(v,w)),u)),x)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f21(non_ordered_pair(v,w))),v) member(ordered_pair(u,w),rotate_right(x)). % 299.97/300.41 44178[0:MRR:44099.0,44099.1,84.1,83.1] little_set(u) || member(ordered_pair(u,ordered_pair(f20(non_ordered_pair(v,w)),f19(non_ordered_pair(v,w)))),x)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),w) member(ordered_pair(u,v),flip_range_of(x)). % 299.97/300.41 44179[0:MRR:44098.0,44098.1,84.1,83.1] little_set(u) || member(ordered_pair(f19(non_ordered_pair(v,w)),ordered_pair(f20(non_ordered_pair(v,w)),u)),x)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),w) member(ordered_pair(u,v),rotate_right(x)). % 299.97/300.41 44180[0:MRR:44075.0,44075.1,84.1,83.1] little_set(u) || member(ordered_pair(u,ordered_pair(f20(non_ordered_pair(v,w)),f19(non_ordered_pair(v,w)))),x)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),v) member(ordered_pair(u,w),flip_range_of(x)). % 299.97/300.41 44181[0:MRR:44074.0,44074.1,84.1,83.1] little_set(u) || member(ordered_pair(f19(non_ordered_pair(v,w)),ordered_pair(f20(non_ordered_pair(v,w)),u)),x)* -> single_valued_set(non_ordered_pair(v,w)) equal(ordered_pair(f19(non_ordered_pair(v,w)),f20(non_ordered_pair(v,w))),v) member(ordered_pair(u,w),rotate_right(x)). % 299.97/300.41 44364[0:Res:4635.1,5063.1] ordered_pair_predicate(u) || member(v,flip_range_of(intersection(w,f3(u)))) equal(x,u) -> member(ordered_pair(f12(v,intersection(w,f3(u))),ordered_pair(f14(v,intersection(w,f3(u))),f13(v,intersection(w,f3(u))))),second(x))*. % 299.97/300.41 44363[0:Res:4635.1,5018.1] ordered_pair_predicate(u) || member(v,flip_range_of(intersection(w,f2(u)))) equal(x,u) -> member(ordered_pair(f12(v,intersection(w,f2(u))),ordered_pair(f14(v,intersection(w,f2(u))),f13(v,intersection(w,f2(u))))),first(x))*. % 299.97/300.41 44333[0:Res:4635.1,547.0] || member(u,flip_range_of(intersection(v,range_of(cross_product(w,x))))) -> member(ordered_pair(f12(u,intersection(v,range_of(cross_product(w,x)))),ordered_pair(f14(u,intersection(v,range_of(cross_product(w,x)))),f13(u,intersection(v,range_of(cross_product(w,x)))))),x)*. % 299.97/300.41 44330[0:Res:4635.1,560.0] || member(u,flip_range_of(intersection(v,domain_of(cross_product(w,x))))) -> member(ordered_pair(f12(u,intersection(v,domain_of(cross_product(w,x)))),ordered_pair(f14(u,intersection(v,domain_of(cross_product(w,x)))),f13(u,intersection(v,domain_of(cross_product(w,x)))))),w)*. % 299.97/300.41 44619[0:Res:4634.1,5063.1] ordered_pair_predicate(u) || member(v,flip_range_of(intersection(f3(u),w))) equal(x,u) -> member(ordered_pair(f12(v,intersection(f3(u),w)),ordered_pair(f14(v,intersection(f3(u),w)),f13(v,intersection(f3(u),w)))),second(x))*. % 299.97/300.41 44618[0:Res:4634.1,5018.1] ordered_pair_predicate(u) || member(v,flip_range_of(intersection(f2(u),w))) equal(x,u) -> member(ordered_pair(f12(v,intersection(f2(u),w)),ordered_pair(f14(v,intersection(f2(u),w)),f13(v,intersection(f2(u),w)))),first(x))*. % 299.97/300.41 44588[0:Res:4634.1,547.0] || member(u,flip_range_of(intersection(range_of(cross_product(v,w)),x))) -> member(ordered_pair(f12(u,intersection(range_of(cross_product(v,w)),x)),ordered_pair(f14(u,intersection(range_of(cross_product(v,w)),x)),f13(u,intersection(range_of(cross_product(v,w)),x)))),w)*. % 299.97/300.41 44585[0:Res:4634.1,560.0] || member(u,flip_range_of(intersection(domain_of(cross_product(v,w)),x))) -> member(ordered_pair(f12(u,intersection(domain_of(cross_product(v,w)),x)),ordered_pair(f14(u,intersection(domain_of(cross_product(v,w)),x)),f13(u,intersection(domain_of(cross_product(v,w)),x)))),v)*. % 299.97/300.41 45138[0:Res:4783.1,5063.1] ordered_pair_predicate(u) || member(v,rotate_right(intersection(w,f3(u)))) equal(x,u) -> member(ordered_pair(f10(v,intersection(w,f3(u))),ordered_pair(f11(v,intersection(w,f3(u))),f9(v,intersection(w,f3(u))))),second(x))*. % 299.97/300.41 45137[0:Res:4783.1,5018.1] ordered_pair_predicate(u) || member(v,rotate_right(intersection(w,f2(u)))) equal(x,u) -> member(ordered_pair(f10(v,intersection(w,f2(u))),ordered_pair(f11(v,intersection(w,f2(u))),f9(v,intersection(w,f2(u))))),first(x))*. % 299.97/300.41 45107[0:Res:4783.1,547.0] || member(u,rotate_right(intersection(v,range_of(cross_product(w,x))))) -> member(ordered_pair(f10(u,intersection(v,range_of(cross_product(w,x)))),ordered_pair(f11(u,intersection(v,range_of(cross_product(w,x)))),f9(u,intersection(v,range_of(cross_product(w,x)))))),x)*. % 299.97/300.41 45104[0:Res:4783.1,560.0] || member(u,rotate_right(intersection(v,domain_of(cross_product(w,x))))) -> member(ordered_pair(f10(u,intersection(v,domain_of(cross_product(w,x)))),ordered_pair(f11(u,intersection(v,domain_of(cross_product(w,x)))),f9(u,intersection(v,domain_of(cross_product(w,x)))))),w)*. % 299.97/300.41 46265[0:Res:4782.1,5063.1] ordered_pair_predicate(u) || member(v,rotate_right(intersection(f3(u),w))) equal(x,u) -> member(ordered_pair(f10(v,intersection(f3(u),w)),ordered_pair(f11(v,intersection(f3(u),w)),f9(v,intersection(f3(u),w)))),second(x))*. % 299.97/300.41 46264[0:Res:4782.1,5018.1] ordered_pair_predicate(u) || member(v,rotate_right(intersection(f2(u),w))) equal(x,u) -> member(ordered_pair(f10(v,intersection(f2(u),w)),ordered_pair(f11(v,intersection(f2(u),w)),f9(v,intersection(f2(u),w)))),first(x))*. % 299.97/300.41 46234[0:Res:4782.1,547.0] || member(u,rotate_right(intersection(range_of(cross_product(v,w)),x))) -> member(ordered_pair(f10(u,intersection(range_of(cross_product(v,w)),x)),ordered_pair(f11(u,intersection(range_of(cross_product(v,w)),x)),f9(u,intersection(range_of(cross_product(v,w)),x)))),w)*. % 299.97/300.41 46231[0:Res:4782.1,560.0] || member(u,rotate_right(intersection(domain_of(cross_product(v,w)),x))) -> member(ordered_pair(f10(u,intersection(domain_of(cross_product(v,w)),x)),ordered_pair(f11(u,intersection(domain_of(cross_product(v,w)),x)),f9(u,intersection(domain_of(cross_product(v,w)),x)))),v)*. % 299.97/300.41 47319[0:Res:1274.2,1558.0] || member(u,apply(v,w)) subset(v,image(non_ordered_pair(x,y),z)) -> equal(first(f22(f28(u,v,w),non_ordered_pair(x,y),z)),y)** equal(first(f22(f28(u,v,w),non_ordered_pair(x,y),z)),x)**. % 299.97/300.41 47317[0:Res:1339.2,1558.0] || member(u,image(v,w)) subset(w,image(non_ordered_pair(x,y),z)) -> equal(first(f22(f22(u,v,w),non_ordered_pair(x,y),z)),y)** equal(first(f22(f22(u,v,w),non_ordered_pair(x,y),z)),x)**. % 299.97/300.41 47273[0:Res:4115.1,1558.0] ordered_pair_predicate(u) || -> member(u,converse(complement(image(non_ordered_pair(v,w),x)))) equal(first(f22(ordered_pair(second(u),first(u)),non_ordered_pair(v,w),x)),w)** equal(first(f22(ordered_pair(second(u),first(u)),non_ordered_pair(v,w),x)),v)**. % 299.97/300.41 47432[0:Res:3837.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(non_ordered_pair(w,x),f3(u)) equal(f1(non_ordered_pair(w,x),f3(u)),x) equal(f1(non_ordered_pair(w,x),f3(u)),w) member(f1(non_ordered_pair(w,x),f3(u)),second(v))*. % 299.97/300.41 47431[0:Res:3837.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(non_ordered_pair(w,x),f2(u)) equal(f1(non_ordered_pair(w,x),f2(u)),x) equal(f1(non_ordered_pair(w,x),f2(u)),w) member(f1(non_ordered_pair(w,x),f2(u)),first(v))*. % 299.97/300.41 47398[0:Res:3837.1,547.0] || -> equal(non_ordered_pair(u,v),range_of(cross_product(w,x))) equal(f1(non_ordered_pair(u,v),range_of(cross_product(w,x))),v) equal(f1(non_ordered_pair(u,v),range_of(cross_product(w,x))),u) member(f1(non_ordered_pair(u,v),range_of(cross_product(w,x))),x)*. % 299.97/300.41 47395[0:Res:3837.1,560.0] || -> equal(non_ordered_pair(u,v),domain_of(cross_product(w,x))) equal(f1(non_ordered_pair(u,v),domain_of(cross_product(w,x))),v) equal(f1(non_ordered_pair(u,v),domain_of(cross_product(w,x))),u) member(f1(non_ordered_pair(u,v),domain_of(cross_product(w,x))),w)*. % 299.97/300.41 47383[3:Res:3837.1,6176.0] || -> equal(non_ordered_pair(u,v),converse(w)) equal(f1(non_ordered_pair(u,v),converse(w)),v) equal(f1(non_ordered_pair(u,v),converse(w)),u) ordered_pair_predicate(ordered_pair(second(f1(non_ordered_pair(u,v),converse(w))),first(f1(non_ordered_pair(u,v),converse(w)))))*. % 299.97/300.41 47877[0:Res:3819.1,5063.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f3(u),non_ordered_pair(w,x)) equal(f1(f3(u),non_ordered_pair(w,x)),x) equal(f1(f3(u),non_ordered_pair(w,x)),w) member(f1(f3(u),non_ordered_pair(w,x)),second(v))*. % 299.97/300.41 47876[0:Res:3819.1,5018.1] ordered_pair_predicate(u) || equal(v,u) -> equal(f2(u),non_ordered_pair(w,x)) equal(f1(f2(u),non_ordered_pair(w,x)),x) equal(f1(f2(u),non_ordered_pair(w,x)),w) member(f1(f2(u),non_ordered_pair(w,x)),first(v))*. % 299.97/300.41 47843[0:Res:3819.1,547.0] || -> equal(range_of(cross_product(u,v)),non_ordered_pair(w,x)) equal(f1(range_of(cross_product(u,v)),non_ordered_pair(w,x)),x) equal(f1(range_of(cross_product(u,v)),non_ordered_pair(w,x)),w) member(f1(range_of(cross_product(u,v)),non_ordered_pair(w,x)),v)*. % 299.97/300.41 47840[0:Res:3819.1,560.0] || -> equal(domain_of(cross_product(u,v)),non_ordered_pair(w,x)) equal(f1(domain_of(cross_product(u,v)),non_ordered_pair(w,x)),x) equal(f1(domain_of(cross_product(u,v)),non_ordered_pair(w,x)),w) member(f1(domain_of(cross_product(u,v)),non_ordered_pair(w,x)),u)*. % 299.97/300.41 47828[3:Res:3819.1,6176.0] || -> equal(converse(u),non_ordered_pair(v,w)) equal(f1(converse(u),non_ordered_pair(v,w)),w) equal(f1(converse(u),non_ordered_pair(v,w)),v) ordered_pair_predicate(ordered_pair(second(f1(converse(u),non_ordered_pair(v,w))),first(f1(converse(u),non_ordered_pair(v,w)))))*. % 299.97/300.41 55851[16:Rew:54986.0,48737.3] little_set(u) || member(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),sigma(v)) disjoint(converse(f16(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),v)),f25)* -> equal(u,a). % 299.97/300.41 55852[16:Rew:54986.0,48734.3] little_set(u) || member(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),first(v)) disjoint(converse(f4(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),v)),f25)* -> equal(u,a). % 299.97/300.41 55853[16:Rew:54986.0,48731.3] little_set(u) || member(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),second(v)) disjoint(converse(f7(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),v)),f25)* -> equal(u,a). % 299.97/300.41 55854[16:Rew:54986.0,48709.2] little_set(u) || subset(f25,image(non_ordered_pair(v,w),x)) -> equal(u,a) equal(first(f22(ordered_pair(u,f26(u)),non_ordered_pair(v,w),x)),w)** equal(first(f22(ordered_pair(u,f26(u)),non_ordered_pair(v,w),x)),v)**. % 299.97/300.41 59800[16:Rew:54986.0,58793.4,54986.0,58793.2] || closed(u,a) closed(v,w) equal(apply(x,apply_to_two_arguments(w,f32(x,v,w,u,a),f33(x,v,w,u,a))),a)** maps(x,v,u) -> homomorphism(x,v,w,u,a). % 299.97/300.41 58794[16:Rew:54986.0,51507.2] || member(u,rotate_right(powerset(f25))) -> single_valued_set(ordered_pair(f10(u,powerset(f25)),ordered_pair(f11(u,powerset(f25)),f9(u,powerset(f25))))) equal(f19(ordered_pair(f10(u,powerset(f25)),ordered_pair(f11(u,powerset(f25)),f9(u,powerset(f25))))),a)**. % 299.97/300.41 58795[16:Rew:54986.0,51508.2] || member(u,flip_range_of(powerset(f25))) -> single_valued_set(ordered_pair(f12(u,powerset(f25)),ordered_pair(f14(u,powerset(f25)),f13(u,powerset(f25))))) equal(f19(ordered_pair(f12(u,powerset(f25)),ordered_pair(f14(u,powerset(f25)),f13(u,powerset(f25))))),a)**. % 299.97/300.41 64075[3:Res:1103.2,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),singleton_set(v))* member(first(ordered_pair(second(u),first(u))),w)* -> member(u,converse(cross_product(w,ordered_pair(v,x))))*. % 299.97/300.41 64068[3:Res:33.2,18198.1] ordered_pair_predicate(u) || member(second(ordered_pair(second(u),first(u))),v)* member(second(ordered_pair(second(u),first(u))),w)* member(first(ordered_pair(second(u),first(u))),x)* -> member(u,converse(cross_product(x,intersection(w,v))))*. % 299.97/300.41 64067[3:Res:120.1,18198.1] ordered_pair_predicate(u) || member(second(ordered_pair(second(u),first(u))),apply(v,w)) member(first(ordered_pair(second(u),first(u))),x) -> member(u,converse(cross_product(x,second(f28(second(ordered_pair(second(u),first(u))),v,w)))))*. % 299.97/300.41 64259[0:Res:4628.1,4238.0] || member(u,flip_range_of(cross_product(v,compose(w,x)))) equal(y,second(ordered_pair(f12(u,cross_product(v,compose(w,x))),ordered_pair(f14(u,cross_product(v,compose(w,x))),f13(u,cross_product(v,compose(w,x)))))))* -> ordered_pair_predicate(y)*. % 299.97/300.41 64366[0:Res:4627.1,4238.0] || member(u,flip_range_of(cross_product(compose(v,w),x))) equal(y,first(ordered_pair(f12(u,cross_product(compose(v,w),x)),ordered_pair(f14(u,cross_product(compose(v,w),x)),f13(u,cross_product(compose(v,w),x))))))* -> ordered_pair_predicate(y)*. % 299.97/300.41 64515[0:Res:4776.1,4238.0] || member(u,rotate_right(cross_product(v,compose(w,x)))) equal(y,second(ordered_pair(f10(u,cross_product(v,compose(w,x))),ordered_pair(f11(u,cross_product(v,compose(w,x))),f9(u,cross_product(v,compose(w,x)))))))* -> ordered_pair_predicate(y)*. % 299.97/300.41 64625[0:Res:4775.1,4238.0] || member(u,rotate_right(cross_product(compose(v,w),x))) equal(y,first(ordered_pair(f10(u,cross_product(compose(v,w),x)),ordered_pair(f11(u,cross_product(compose(v,w),x)),f9(u,cross_product(compose(v,w),x))))))* -> ordered_pair_predicate(y)*. % 299.97/300.41 65374[0:MRR:65373.2,133.1] little_set(u) little_set(v) single_valued_set(flip_range_of(w)) || member(ordered_pair(f31(x,y,flip_range_of(w)),ordered_pair(u,v)),w)* member(x,compose(y,flip_range_of(w))) -> equal(ordered_pair(v,u),f30(x,y,flip_range_of(w))). % 299.97/300.41 65376[0:MRR:65375.2,133.1] little_set(u) little_set(v) single_valued_set(rotate_right(w)) || member(ordered_pair(v,ordered_pair(u,f31(x,y,rotate_right(w)))),w)* member(x,compose(y,rotate_right(w))) -> equal(ordered_pair(v,u),f30(x,y,rotate_right(w))). % 299.97/300.41 65591[0:MRR:65590.2,131.1] little_set(u) little_set(v) single_valued_set(flip_range_of(w)) || member(ordered_pair(f29(x,flip_range_of(w),y),ordered_pair(u,v)),w)* member(x,compose(flip_range_of(w),y)) -> equal(ordered_pair(v,u),f31(x,flip_range_of(w),y)). % 299.97/300.41 65593[0:MRR:65592.2,131.1] little_set(u) little_set(v) single_valued_set(rotate_right(w)) || member(ordered_pair(v,ordered_pair(u,f29(x,rotate_right(w),y))),w)* member(x,compose(rotate_right(w),y)) -> equal(ordered_pair(v,u),f31(x,rotate_right(w),y)). % 299.97/300.41 66102[0:SSi:66070.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f10(x,non_ordered_pair(v,w)),u),w)** member(x,rotate_right(non_ordered_pair(v,w))) -> equal(u,ordered_pair(f11(x,non_ordered_pair(v,w)),f9(x,non_ordered_pair(v,w))))*. % 299.97/300.41 66103[0:SSi:66069.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f10(x,non_ordered_pair(v,w)),u),v)** member(x,rotate_right(non_ordered_pair(v,w))) -> equal(u,ordered_pair(f11(x,non_ordered_pair(v,w)),f9(x,non_ordered_pair(v,w))))*. % 299.97/300.41 66200[0:SSi:66166.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f12(x,non_ordered_pair(v,w)),u),w)** member(x,flip_range_of(non_ordered_pair(v,w))) -> equal(u,ordered_pair(f14(x,non_ordered_pair(v,w)),f13(x,non_ordered_pair(v,w))))*. % 299.97/300.41 66201[0:SSi:66165.0,371.0] little_set(u) single_valued_set(non_ordered_pair(v,w)) || equal(ordered_pair(f12(x,non_ordered_pair(v,w)),u),v)** member(x,flip_range_of(non_ordered_pair(v,w))) -> equal(u,ordered_pair(f14(x,non_ordered_pair(v,w)),f13(x,non_ordered_pair(v,w))))*. % 299.97/300.41 66292[0:Res:3651.2,6077.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(u,v),cross_product(x,universal_set))* member(ordered_pair(u,v),y)* member(ordered_pair(w,u),z)* -> member(ordered_pair(w,v),compose(z,restrict(y,x)))*. % 299.97/300.41 66391[0:SSi:66275.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(second(ordered_pair(u,v)),x)* member(first(ordered_pair(u,v)),y)* member(ordered_pair(w,u),z)* -> member(ordered_pair(w,v),compose(z,cross_product(y,x)))*. % 299.97/300.41 66562[16:Res:55527.1,5226.4] little_set(u) single_valued_set(singleton_set(ordered_pair(f6(v,w),u))) || member(v,second(w)) member(w,singleton_set(ordered_pair(f6(v,w),u)))* -> equal(singleton_set(ordered_pair(f6(v,w),u)),a) equal(u,f7(v,w)). % 299.97/300.41 66561[16:Res:55527.1,5225.4] little_set(u) single_valued_set(singleton_set(ordered_pair(f4(v,w),u))) || member(v,first(w)) member(w,singleton_set(ordered_pair(f4(v,w),u)))* -> equal(singleton_set(ordered_pair(f4(v,w),u)),a) equal(u,f5(v,w)). % 299.97/300.41 66634[0:Res:5054.3,5358.4] little_set(u) little_set(v) ordered_pair_predicate(w) little_set(x) little_set(y) || member(ordered_pair(f2(w),ordered_pair(f3(w),x)),u)* equal(y,ordered_pair(x,w))* -> member(y,rotate_right(second(ordered_pair(v,u))))*. % 299.97/300.41 66633[0:Res:5009.3,5358.4] little_set(u) little_set(v) ordered_pair_predicate(w) little_set(x) little_set(y) || member(ordered_pair(f2(w),ordered_pair(f3(w),x)),v)* equal(y,ordered_pair(x,w))* -> member(y,rotate_right(first(ordered_pair(v,u))))*. % 299.97/300.41 66628[0:Res:67.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f2(u),ordered_pair(f3(u),v)),sigma(x)) equal(w,ordered_pair(v,u)) -> member(w,rotate_right(f16(ordered_pair(f2(u),ordered_pair(f3(u),v)),x)))*. % 299.97/300.41 66627[0:Res:21.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f2(u),ordered_pair(f3(u),v)),first(x)) equal(w,ordered_pair(v,u)) -> member(w,rotate_right(f4(ordered_pair(f2(u),ordered_pair(f3(u),v)),x)))*. % 299.97/300.41 66626[0:Res:26.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f2(u),ordered_pair(f3(u),v)),second(x)) equal(w,ordered_pair(v,u)) -> member(w,rotate_right(f7(ordered_pair(f2(u),ordered_pair(f3(u),v)),x)))*. % 299.97/300.41 66796[0:Res:5054.3,6053.4] little_set(u) little_set(v) ordered_pair_predicate(w) little_set(x) little_set(y) || member(ordered_pair(x,ordered_pair(f3(w),f2(w))),u)* equal(y,ordered_pair(x,w))* -> member(y,flip_range_of(second(ordered_pair(v,u))))*. % 299.97/300.41 66795[0:Res:5009.3,6053.4] little_set(u) little_set(v) ordered_pair_predicate(w) little_set(x) little_set(y) || member(ordered_pair(x,ordered_pair(f3(w),f2(w))),v)* equal(y,ordered_pair(x,w))* -> member(y,flip_range_of(first(ordered_pair(v,u))))*. % 299.97/300.41 66788[0:Res:67.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f3(u),f2(u))),sigma(x)) equal(w,ordered_pair(v,u)) -> member(w,flip_range_of(f16(ordered_pair(v,ordered_pair(f3(u),f2(u))),x)))*. % 299.97/300.41 66787[0:Res:21.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f3(u),f2(u))),first(x)) equal(w,ordered_pair(v,u)) -> member(w,flip_range_of(f4(ordered_pair(v,ordered_pair(f3(u),f2(u))),x)))*. % 299.97/300.41 66786[0:Res:26.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f3(u),f2(u))),second(x)) equal(w,ordered_pair(v,u)) -> member(w,flip_range_of(f7(ordered_pair(v,ordered_pair(f3(u),f2(u))),x)))*. % 299.97/300.41 66929[3:Res:5054.3,8204.3] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,f3(y)),u)* equal(x,y)* member(ordered_pair(f2(y),w),z)* -> member(x,compose(z,second(ordered_pair(v,u))))*. % 299.97/300.41 66928[3:Res:5009.3,8204.3] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,f3(y)),v)* equal(x,y)* member(ordered_pair(f2(y),w),z)* -> member(x,compose(z,first(ordered_pair(v,u))))*. % 299.97/300.41 66918[3:Res:33.2,8204.3] little_set(u) little_set(v) || member(ordered_pair(u,f3(w)),x)* member(ordered_pair(u,f3(w)),y)* equal(v,w)* member(ordered_pair(f2(w),u),z)* -> member(v,compose(z,intersection(y,x)))*. % 299.97/300.41 66917[3:Res:120.1,8204.3] little_set(u) little_set(v) || member(ordered_pair(u,f3(w)),apply(x,y)) equal(v,w) member(ordered_pair(f2(w),u),z) -> member(v,compose(z,second(f28(ordered_pair(u,f3(w)),x,y))))*. % 299.97/300.41 67017[0:MRR:67003.0,5.0] || equal(f1(u,intersection(v,ordered_pair(w,x))),singleton_set(w)) member(f1(u,intersection(v,ordered_pair(w,x))),v)* member(f1(u,intersection(v,ordered_pair(w,x))),u)* -> equal(u,intersection(v,ordered_pair(w,x))). % 299.97/300.41 67107[0:Res:10.2,5162.4] little_set(first(f27(u,v))) little_set(w) || equal(first(f27(u,v)),x)* member(u,range_of(v)) member(f27(u,v),y)* equal(u,w)* -> member(w,image(non_ordered_pair(z,x),y))*. % 299.97/300.41 67106[0:Res:9.2,5162.4] little_set(first(f27(u,v))) little_set(w) || equal(first(f27(u,v)),x)* member(u,range_of(v)) member(f27(u,v),y)* equal(u,w)* -> member(w,image(non_ordered_pair(x,z),y))*. % 299.97/300.41 67912[3:MRR:67911.0,133.1] single_valued_set(apply(u,v)) || member(w,u)* equal(first(w),v)* member(x,compose(second(w),y))* member(x,apply(u,v))* -> equal(f31(x,second(w),y),f30(x,second(w),y)). % 299.97/300.41 68126[0:Res:5257.5,314.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,intersection(complement(z),complement(x1))) member(f33(y,w,x,u,v),union(z,x1))* -> homomorphism(y,w,x,u,v). % 299.97/300.41 68229[0:Res:5302.5,314.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,intersection(complement(z),complement(x1))) member(f32(y,w,x,u,v),union(z,x1))* -> homomorphism(y,w,x,u,v). % 299.97/300.41 68424[0:SSi:68402.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f9(x,y),u),non_ordered_pair(v,w))* member(x,rotate_right(y)) member(x,ordered_pair(v,w))* -> equal(u,ordered_pair(f10(x,y),f11(x,y)))*. % 299.97/300.41 68682[0:SSi:68652.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f12(x,y),u),non_ordered_pair(v,w))* member(x,flip_range_of(y)) member(x,ordered_pair(v,w))* -> equal(u,ordered_pair(f13(x,y),f14(x,y)))*. % 299.97/300.41 69157[16:Res:55527.1,5255.3] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(singleton_set(f33(y,w,x,u,v)),w)* -> equal(singleton_set(f33(y,w,x,u,v)),a) homomorphism(y,w,x,u,v). % 299.97/300.41 69395[16:Res:55527.1,5300.3] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(singleton_set(f32(y,w,x,u,v)),w)* -> equal(singleton_set(f32(y,w,x,u,v)),a) homomorphism(y,w,x,u,v). % 299.97/300.41 69719[3:Res:6221.3,68.0] || member(u,rotate_right(second(v))) member(v,w)* equal(first(v),x)* member(apply(w,x),y)* -> member(ordered_pair(f10(u,second(v)),ordered_pair(f11(u,second(v)),f9(u,second(v)))),sigma(y))*. % 299.97/300.41 69718[3:Res:6221.3,98.0] || member(u,rotate_right(second(v))) member(v,w)* equal(first(v),x)* member(ordered_pair(f10(u,second(v)),ordered_pair(f11(u,second(v)),f9(u,second(v)))),y)* disjoint(y,apply(w,x))* -> . % 299.97/300.41 69742[3:Rew:108.1,69712.1] || member(u,range_of(v)) member(w,rotate_right(u)) member(f27(u,v),x)* equal(first(f27(u,v)),y)* -> member(ordered_pair(f10(w,u),ordered_pair(f11(w,u),f9(w,u))),apply(x,y))*. % 299.97/300.41 70015[3:Res:6222.3,68.0] || member(u,flip_range_of(second(v))) member(v,w)* equal(first(v),x)* member(apply(w,x),y)* -> member(ordered_pair(f12(u,second(v)),ordered_pair(f14(u,second(v)),f13(u,second(v)))),sigma(y))*. % 299.97/300.41 70014[3:Res:6222.3,98.0] || member(u,flip_range_of(second(v))) member(v,w)* equal(first(v),x)* member(ordered_pair(f12(u,second(v)),ordered_pair(f14(u,second(v)),f13(u,second(v)))),y)* disjoint(y,apply(w,x))* -> . % 299.97/300.41 70039[3:Rew:108.1,70008.1] || member(u,range_of(v)) member(w,flip_range_of(u)) member(f27(u,v),x)* equal(first(f27(u,v)),y)* -> member(ordered_pair(f12(w,u),ordered_pair(f14(w,u),f13(w,u))),apply(x,y))*. % 299.97/300.41 70201[0:SSi:70176.0,371.0,371.0] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),union(y,z))* member(v,rotate_right(intersection(complement(y),complement(z))))*. % 299.97/300.41 70279[0:SSi:70254.0,371.0,371.0] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),union(y,z))* member(v,rotate_right(intersection(complement(y),complement(z))))*. % 299.97/300.41 70356[0:SSi:70326.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),union(y,z))* member(v,flip_range_of(intersection(complement(y),complement(z))))*. % 299.97/300.41 70427[0:SSi:70397.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),union(y,z))* member(v,flip_range_of(intersection(complement(y),complement(z))))*. % 299.97/300.41 70459[16:Res:55527.1,5163.4] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y) equal(v,u) -> equal(singleton_set(first(f22(v,w,x))),a) member(u,image(singleton_set(first(f22(v,w,x))),y))*. % 299.97/300.41 70494[3:Obv:70478.1] little_set(u) || member(v,w)* equal(first(v),x)* member(y,image(second(v),z)) member(f22(y,second(v),z),x1)* equal(y,u)* -> member(u,image(apply(w,x),x1))*. % 299.97/300.41 70495[0:MRR:70463.0,1545.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y)* equal(v,u)* -> member(first(f22(v,w,x)),union(z,x1))* member(u,image(intersection(complement(z),complement(x1)),y))*. % 299.97/300.41 71010[0:SSi:70972.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),y)* member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),z)* -> member(v,compose(z,non_ordered_pair(x1,y)))*. % 299.97/300.41 71011[0:SSi:70971.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),y)* member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),z)* -> member(v,compose(z,non_ordered_pair(y,x1)))*. % 299.97/300.41 71081[0:SSi:71043.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),y)* member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),z)* -> member(v,compose(z,non_ordered_pair(x1,y)))*. % 299.97/300.41 71082[0:SSi:71042.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),y)* member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),z)* -> member(v,compose(z,non_ordered_pair(y,x1)))*. % 299.97/300.41 71182[0:SSi:71150.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(non_ordered_pair(x1,z)))*. % 299.97/300.41 71183[0:SSi:71149.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(non_ordered_pair(z,x1)))*. % 299.97/300.41 71315[0:SSi:71280.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(non_ordered_pair(x1,z)))*. % 299.97/300.41 71316[0:SSi:71279.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(non_ordered_pair(z,x1)))*. % 299.97/300.41 71382[6:Res:5263.4,10857.1] || closed(u,v) closed(cross_product(w,infinity),x) maps(y,cross_product(w,infinity),u) equal(successor(second(f33(y,cross_product(w,infinity),x,u,v))),universal_set)** -> homomorphism(y,cross_product(w,infinity),x,u,v). % 299.97/300.41 71487[6:Res:5262.4,10857.1] || closed(u,v) closed(cross_product(infinity,w),x) maps(y,cross_product(infinity,w),u) equal(successor(first(f33(y,cross_product(infinity,w),x,u,v))),universal_set)** -> homomorphism(y,cross_product(infinity,w),x,u,v). % 299.97/300.41 71633[6:Res:5308.4,10857.1] || closed(u,v) closed(cross_product(w,infinity),x) maps(y,cross_product(w,infinity),u) equal(successor(second(f32(y,cross_product(w,infinity),x,u,v))),universal_set)** -> homomorphism(y,cross_product(w,infinity),x,u,v). % 299.97/300.41 71827[16:Res:56196.1,6058.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(ordered_pair(universal_set,z)))*. % 299.97/300.41 71826[16:Res:56196.1,5363.4] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),a)** member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(ordered_pair(universal_set,z)))*. % 299.97/300.41 71821[16:Res:56196.1,6081.4] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),a) member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(v,compose(y,ordered_pair(universal_set,z)))*. % 299.97/300.41 71820[16:Res:56196.1,6080.4] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),a) member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(v,compose(y,ordered_pair(universal_set,z)))*. % 299.97/300.41 71775[16:Res:56196.1,5232.3] little_set(u) single_valued_set(ordered_pair(universal_set,v)) || equal(ordered_pair(f12(w,ordered_pair(universal_set,v)),u),a)** member(w,flip_range_of(ordered_pair(universal_set,v))) -> equal(u,ordered_pair(f14(w,ordered_pair(universal_set,v)),f13(w,ordered_pair(universal_set,v))))*. % 299.97/300.41 71774[16:Res:56196.1,5230.3] little_set(u) single_valued_set(ordered_pair(universal_set,v)) || equal(ordered_pair(f10(w,ordered_pair(universal_set,v)),u),a)** member(w,rotate_right(ordered_pair(universal_set,v))) -> equal(u,ordered_pair(f11(w,ordered_pair(universal_set,v)),f9(w,ordered_pair(universal_set,v))))*. % 299.97/300.41 71886[6:Res:5307.4,10857.1] || closed(u,v) closed(cross_product(infinity,w),x) maps(y,cross_product(infinity,w),u) equal(successor(first(f32(y,cross_product(infinity,w),x,u,v))),universal_set)** -> homomorphism(y,cross_product(infinity,w),x,u,v). % 299.97/300.41 72583[0:SSi:72561.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(singleton_set(y)))*. % 299.97/300.41 72584[0:SSi:72560.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || subset(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(powerset(y)))*. % 299.97/300.41 72589[0:MRR:72588.0,48.1] little_set(u) little_set(v) || member(ordered_pair(f9(w,x),ordered_pair(u,ordered_pair(f10(w,x),f11(w,x)))),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(flip_range_of(y)))*. % 299.97/300.41 72592[0:MRR:72591.0,48.1] little_set(u) little_set(v) || member(ordered_pair(ordered_pair(f10(w,x),f11(w,x)),ordered_pair(u,f9(w,x))),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(rotate_right(y)))*. % 299.97/300.41 72998[0:SSi:72976.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(singleton_set(y)))*. % 299.97/300.41 72999[0:SSi:72975.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || subset(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(powerset(y)))*. % 299.97/300.41 73004[0:MRR:73003.0,54.1] little_set(u) little_set(v) || member(ordered_pair(f12(w,x),ordered_pair(u,ordered_pair(f13(w,x),f14(w,x)))),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(flip_range_of(y)))*. % 299.97/300.41 73007[0:MRR:73006.0,54.1] little_set(u) little_set(v) || member(ordered_pair(ordered_pair(f13(w,x),f14(w,x)),ordered_pair(u,f12(w,x))),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(rotate_right(y)))*. % 299.97/300.41 73229[0:SSi:73204.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(singleton_set(y)))*. % 299.97/300.41 73230[0:SSi:73203.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || subset(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(powerset(y)))*. % 299.97/300.41 73239[0:MRR:73238.0,48.1] little_set(u) little_set(v) || member(ordered_pair(ordered_pair(f10(w,x),f11(w,x)),ordered_pair(f9(w,x),u)),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(rotate_right(y)))*. % 299.97/300.41 73422[0:SSi:73397.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(singleton_set(y)))*. % 299.97/300.41 73423[0:SSi:73396.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || subset(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(powerset(y)))*. % 299.97/300.41 73432[0:MRR:73431.0,54.1] little_set(u) little_set(v) || member(ordered_pair(ordered_pair(f13(w,x),f14(w,x)),ordered_pair(f12(w,x),u)),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(rotate_right(y)))*. % 299.97/300.41 87720[16:Res:82665.1,6062.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(sigma(infinity)))*. % 299.97/300.41 87719[16:Res:82665.1,6060.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(sigma(infinity)))*. % 299.97/300.41 87714[16:Res:82665.1,5367.4] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(sigma(infinity)))*. % 299.97/300.41 87713[16:Res:82665.1,5365.4] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(sigma(infinity)))*. % 299.97/300.41 87874[16:Res:82681.1,6062.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(successor(a)))*. % 299.97/300.41 87873[16:Res:82681.1,6060.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(successor(a)))*. % 299.97/300.41 87868[16:Res:82681.1,5367.4] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(successor(a)))*. % 299.97/300.41 87867[16:Res:82681.1,5365.4] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(successor(a)))*. % 299.97/300.41 88183[3:Res:82671.1,5163.4] little_set(u) || equal(first(f22(v,w,x)),infinity) member(v,image(w,x)) member(f22(v,w,x),y) equal(v,u) -> member(u,image(singleton_set(first(f22(v,w,x))),y))*. % 299.97/300.41 88182[3:Res:82671.1,5300.3] || equal(f32(u,v,w,x,y),infinity) closed(x,y) closed(v,w) maps(u,v,x) disjoint(singleton_set(f32(u,v,w,x,y)),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.41 88181[3:Res:82671.1,5255.3] || equal(f33(u,v,w,x,y),infinity) closed(x,y) closed(v,w) maps(u,v,x) disjoint(singleton_set(f33(u,v,w,x,y)),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.41 88132[3:Res:82671.1,5226.4] little_set(u) single_valued_set(singleton_set(ordered_pair(f6(v,w),u))) || equal(ordered_pair(f6(v,w),u),infinity) member(v,second(w)) member(w,singleton_set(ordered_pair(f6(v,w),u)))* -> equal(u,f7(v,w)). % 299.97/300.41 88131[3:Res:82671.1,5225.4] little_set(u) single_valued_set(singleton_set(ordered_pair(f4(v,w),u))) || equal(ordered_pair(f4(v,w),u),infinity) member(v,first(w)) member(w,singleton_set(ordered_pair(f4(v,w),u)))* -> equal(u,f5(v,w)). % 299.97/300.41 97121[3:SSi:97002.0,5742.0,371.1] little_set(u) single_valued_set(converse(powerset(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u)))))) || member(v,converse(powerset(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u))))))* -> equal(u,f3(v)). % 299.97/300.41 97744[0:Res:4775.1,2899.0] || member(u,rotate_right(cross_product(domain_of(singleton_set(v)),w))) -> equal(f8(first(ordered_pair(f10(u,cross_product(domain_of(singleton_set(v)),w)),ordered_pair(f11(u,cross_product(domain_of(singleton_set(v)),w)),f9(u,cross_product(domain_of(singleton_set(v)),w))))),singleton_set(v)),v)**. % 299.97/300.41 97743[0:Res:4627.1,2899.0] || member(u,flip_range_of(cross_product(domain_of(singleton_set(v)),w))) -> equal(f8(first(ordered_pair(f12(u,cross_product(domain_of(singleton_set(v)),w)),ordered_pair(f14(u,cross_product(domain_of(singleton_set(v)),w)),f13(u,cross_product(domain_of(singleton_set(v)),w))))),singleton_set(v)),v)**. % 299.97/300.41 97692[0:Res:142.3,2899.0] || closed(u,v) closed(domain_of(singleton_set(w)),x) maps(y,domain_of(singleton_set(w)),u) -> homomorphism(y,domain_of(singleton_set(w)),x,u,v) equal(f8(f32(y,domain_of(singleton_set(w)),x,u,v),singleton_set(w)),w)**. % 299.97/300.41 97690[0:Res:143.3,2899.0] || closed(u,v) closed(domain_of(singleton_set(w)),x) maps(y,domain_of(singleton_set(w)),u) -> homomorphism(y,domain_of(singleton_set(w)),x,u,v) equal(f8(f33(y,domain_of(singleton_set(w)),x,u,v),singleton_set(w)),w)**. % 299.97/300.41 97682[0:Res:4776.1,2899.0] || member(u,rotate_right(cross_product(v,domain_of(singleton_set(w))))) -> equal(f8(second(ordered_pair(f10(u,cross_product(v,domain_of(singleton_set(w)))),ordered_pair(f11(u,cross_product(v,domain_of(singleton_set(w)))),f9(u,cross_product(v,domain_of(singleton_set(w))))))),singleton_set(w)),w)**. % 299.97/300.41 97681[0:Res:4628.1,2899.0] || member(u,flip_range_of(cross_product(v,domain_of(singleton_set(w))))) -> equal(f8(second(ordered_pair(f12(u,cross_product(v,domain_of(singleton_set(w)))),ordered_pair(f14(u,cross_product(v,domain_of(singleton_set(w)))),f13(u,cross_product(v,domain_of(singleton_set(w))))))),singleton_set(w)),w)**. % 299.97/300.41 97957[0:Res:4775.1,2938.0] || member(u,rotate_right(cross_product(sigma(singleton_set(v)),w))) -> equal(f16(first(ordered_pair(f10(u,cross_product(sigma(singleton_set(v)),w)),ordered_pair(f11(u,cross_product(sigma(singleton_set(v)),w)),f9(u,cross_product(sigma(singleton_set(v)),w))))),singleton_set(v)),v)**. % 299.97/300.41 97956[0:Res:4627.1,2938.0] || member(u,flip_range_of(cross_product(sigma(singleton_set(v)),w))) -> equal(f16(first(ordered_pair(f12(u,cross_product(sigma(singleton_set(v)),w)),ordered_pair(f14(u,cross_product(sigma(singleton_set(v)),w)),f13(u,cross_product(sigma(singleton_set(v)),w))))),singleton_set(v)),v)**. % 299.97/300.41 97905[0:Res:142.3,2938.0] || closed(u,v) closed(sigma(singleton_set(w)),x) maps(y,sigma(singleton_set(w)),u) -> homomorphism(y,sigma(singleton_set(w)),x,u,v) equal(f16(f32(y,sigma(singleton_set(w)),x,u,v),singleton_set(w)),w)**. % 299.97/300.41 97903[0:Res:143.3,2938.0] || closed(u,v) closed(sigma(singleton_set(w)),x) maps(y,sigma(singleton_set(w)),u) -> homomorphism(y,sigma(singleton_set(w)),x,u,v) equal(f16(f33(y,sigma(singleton_set(w)),x,u,v),singleton_set(w)),w)**. % 299.97/300.41 97895[0:Res:4776.1,2938.0] || member(u,rotate_right(cross_product(v,sigma(singleton_set(w))))) -> equal(f16(second(ordered_pair(f10(u,cross_product(v,sigma(singleton_set(w)))),ordered_pair(f11(u,cross_product(v,sigma(singleton_set(w)))),f9(u,cross_product(v,sigma(singleton_set(w))))))),singleton_set(w)),w)**. % 299.97/300.41 97894[0:Res:4628.1,2938.0] || member(u,flip_range_of(cross_product(v,sigma(singleton_set(w))))) -> equal(f16(second(ordered_pair(f12(u,cross_product(v,sigma(singleton_set(w)))),ordered_pair(f14(u,cross_product(v,sigma(singleton_set(w)))),f13(u,cross_product(v,sigma(singleton_set(w))))))),singleton_set(w)),w)**. % 299.97/300.41 98200[0:Res:4775.1,2959.0] || member(u,rotate_right(cross_product(range_of(singleton_set(v)),w))) -> equal(f27(first(ordered_pair(f10(u,cross_product(range_of(singleton_set(v)),w)),ordered_pair(f11(u,cross_product(range_of(singleton_set(v)),w)),f9(u,cross_product(range_of(singleton_set(v)),w))))),singleton_set(v)),v)**. % 299.97/300.41 98199[0:Res:4627.1,2959.0] || member(u,flip_range_of(cross_product(range_of(singleton_set(v)),w))) -> equal(f27(first(ordered_pair(f12(u,cross_product(range_of(singleton_set(v)),w)),ordered_pair(f14(u,cross_product(range_of(singleton_set(v)),w)),f13(u,cross_product(range_of(singleton_set(v)),w))))),singleton_set(v)),v)**. % 299.97/300.41 98148[0:Res:142.3,2959.0] || closed(u,v) closed(range_of(singleton_set(w)),x) maps(y,range_of(singleton_set(w)),u) -> homomorphism(y,range_of(singleton_set(w)),x,u,v) equal(f27(f32(y,range_of(singleton_set(w)),x,u,v),singleton_set(w)),w)**. % 299.97/300.41 98146[0:Res:143.3,2959.0] || closed(u,v) closed(range_of(singleton_set(w)),x) maps(y,range_of(singleton_set(w)),u) -> homomorphism(y,range_of(singleton_set(w)),x,u,v) equal(f27(f33(y,range_of(singleton_set(w)),x,u,v),singleton_set(w)),w)**. % 299.97/300.41 98138[0:Res:4776.1,2959.0] || member(u,rotate_right(cross_product(v,range_of(singleton_set(w))))) -> equal(f27(second(ordered_pair(f10(u,cross_product(v,range_of(singleton_set(w)))),ordered_pair(f11(u,cross_product(v,range_of(singleton_set(w)))),f9(u,cross_product(v,range_of(singleton_set(w))))))),singleton_set(w)),w)**. % 299.97/300.41 98137[0:Res:4628.1,2959.0] || member(u,flip_range_of(cross_product(v,range_of(singleton_set(w))))) -> equal(f27(second(ordered_pair(f12(u,cross_product(v,range_of(singleton_set(w)))),ordered_pair(f14(u,cross_product(v,range_of(singleton_set(w)))),f13(u,cross_product(v,range_of(singleton_set(w))))))),singleton_set(w)),w)**. % 299.97/300.41 99419[0:Res:18201.1,5162.4] ordered_pair_predicate(first(f27(u,v))) little_set(w) || member(u,range_of(v)) member(f27(u,v),x)* equal(u,w)* -> member(first(f27(u,v)),converse(y))* member(w,image(converse(complement(y)),x))*. % 299.97/300.41 99518[3:SSi:99414.0,5742.0,371.1] little_set(u) little_set(v) || member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(ordered_pair(u,f7(w,x)),converse(z))* member(v,compose(y,converse(complement(z))))*. % 299.97/300.41 99519[3:SSi:99413.0,5742.0,371.1] little_set(u) little_set(v) || member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(ordered_pair(u,f5(w,x)),converse(z))* member(v,compose(y,converse(complement(z))))*. % 299.97/300.41 99531[3:SSi:99364.0,5742.0,371.1] little_set(u) single_valued_set(converse(complement(v))) || member(w,flip_range_of(converse(complement(v)))) -> member(ordered_pair(f12(w,converse(complement(v))),u),converse(v))* equal(u,ordered_pair(f14(w,converse(complement(v))),f13(w,converse(complement(v)))))*. % 299.97/300.41 99532[3:SSi:99363.0,5742.0,371.1] little_set(u) single_valued_set(converse(complement(v))) || member(w,rotate_right(converse(complement(v)))) -> member(ordered_pair(f10(w,converse(complement(v))),u),converse(v))* equal(u,ordered_pair(f11(w,converse(complement(v))),f9(w,converse(complement(v)))))*. % 299.97/300.41 99534[0:SSi:99424.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),converse(z))* member(v,flip_range_of(converse(complement(z))))*. % 299.97/300.41 99535[3:SSi:99423.0,5742.0,371.0,371.1] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),converse(z))* member(v,rotate_right(converse(complement(z))))*. % 299.97/300.41 99734[0:Res:22366.2,5163.4] ordered_pair_predicate(u) little_set(v) || member(first(f22(w,x,y)),f2(u))* member(w,image(x,y)) member(f22(w,x,y),z)* equal(w,v)* -> member(v,image(first(u),z))*. % 299.97/300.41 99724[0:Res:22366.2,6055.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f7(x,y),f6(x,y))),f2(u))* member(x,second(y)) equal(w,ordered_pair(v,y))* -> member(w,flip_range_of(first(u)))*. % 299.97/300.41 99723[0:Res:22366.2,6054.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f5(x,y),f4(x,y))),f2(u))* member(x,first(y)) equal(w,ordered_pair(v,y))* -> member(w,flip_range_of(first(u)))*. % 299.97/300.41 99720[0:Res:22366.2,5360.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f6(x,y),ordered_pair(f7(x,y),v)),f2(u))* member(x,second(y)) equal(w,ordered_pair(v,y))* -> member(w,rotate_right(first(u)))*. % 299.97/300.41 99719[0:Res:22366.2,5359.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f4(x,y),ordered_pair(f5(x,y),v)),f2(u))* member(x,first(y)) equal(w,ordered_pair(v,y))* -> member(w,rotate_right(first(u)))*. % 299.97/300.41 99678[0:Res:22366.2,5236.4] ordered_pair_predicate(u) little_set(v) single_valued_set(first(u)) || member(ordered_pair(f9(w,x),v),f2(u))* member(w,rotate_right(x)) member(w,first(u)) -> equal(v,ordered_pair(f10(w,x),f11(w,x)))*. % 299.97/300.41 99677[0:Res:22366.2,5238.4] ordered_pair_predicate(u) little_set(v) single_valued_set(first(u)) || member(ordered_pair(f12(w,x),v),f2(u))* member(w,flip_range_of(x)) member(w,first(u)) -> equal(v,ordered_pair(f13(w,x),f14(w,x)))*. % 299.97/300.41 99931[0:Res:22612.2,5163.4] ordered_pair_predicate(u) little_set(v) || member(first(f22(w,x,y)),f3(u))* member(w,image(x,y)) member(f22(w,x,y),z)* equal(w,v)* -> member(v,image(second(u),z))*. % 299.97/300.41 99921[0:Res:22612.2,6055.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f7(x,y),f6(x,y))),f3(u))* member(x,second(y)) equal(w,ordered_pair(v,y))* -> member(w,flip_range_of(second(u)))*. % 299.97/300.41 99920[0:Res:22612.2,6054.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f5(x,y),f4(x,y))),f3(u))* member(x,first(y)) equal(w,ordered_pair(v,y))* -> member(w,flip_range_of(second(u)))*. % 299.97/300.41 99917[0:Res:22612.2,5360.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f6(x,y),ordered_pair(f7(x,y),v)),f3(u))* member(x,second(y)) equal(w,ordered_pair(v,y))* -> member(w,rotate_right(second(u)))*. % 299.97/300.41 99916[0:Res:22612.2,5359.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f4(x,y),ordered_pair(f5(x,y),v)),f3(u))* member(x,first(y)) equal(w,ordered_pair(v,y))* -> member(w,rotate_right(second(u)))*. % 299.97/300.41 99872[0:Res:22612.2,5236.4] ordered_pair_predicate(u) little_set(v) single_valued_set(second(u)) || member(ordered_pair(f9(w,x),v),f3(u))* member(w,rotate_right(x)) member(w,second(u)) -> equal(v,ordered_pair(f10(w,x),f11(w,x)))*. % 299.97/300.41 99871[0:Res:22612.2,5238.4] ordered_pair_predicate(u) little_set(v) single_valued_set(second(u)) || member(ordered_pair(f12(w,x),v),f3(u))* member(w,flip_range_of(x)) member(w,second(u)) -> equal(v,ordered_pair(f13(w,x),f14(w,x)))*. % 299.97/300.41 103688[0:Res:4286.1,16184.0] || member(u,compose(v,intersection(w,domain_of(intersection(cross_product(x,y),z))))) -> member(ordered_pair(f31(u,v,intersection(w,domain_of(intersection(cross_product(x,y),z)))),f30(u,v,intersection(w,domain_of(intersection(cross_product(x,y),z))))),x)*. % 299.97/300.41 103653[0:Res:4361.1,16184.0] || member(u,compose(intersection(v,domain_of(intersection(cross_product(w,x),y))),z)) -> member(ordered_pair(f29(u,intersection(v,domain_of(intersection(cross_product(w,x),y))),z),f31(u,intersection(v,domain_of(intersection(cross_product(w,x),y))),z)),w)*. % 299.97/300.41 103646[0:Res:4285.1,16184.0] || member(u,compose(v,intersection(domain_of(intersection(cross_product(w,x),y)),z))) -> member(ordered_pair(f31(u,v,intersection(domain_of(intersection(cross_product(w,x),y)),z)),f30(u,v,intersection(domain_of(intersection(cross_product(w,x),y)),z))),w)*. % 299.97/300.41 103639[0:Res:52.1,16184.0] || member(u,rotate_right(domain_of(intersection(cross_product(v,w),x)))) -> member(ordered_pair(f10(u,domain_of(intersection(cross_product(v,w),x))),ordered_pair(f11(u,domain_of(intersection(cross_product(v,w),x))),f9(u,domain_of(intersection(cross_product(v,w),x))))),v)*. % 299.97/300.41 103637[0:Res:58.1,16184.0] || member(u,flip_range_of(domain_of(intersection(cross_product(v,w),x)))) -> member(ordered_pair(f12(u,domain_of(intersection(cross_product(v,w),x))),ordered_pair(f14(u,domain_of(intersection(cross_product(v,w),x))),f13(u,domain_of(intersection(cross_product(v,w),x))))),v)*. % 299.97/300.41 103636[0:Res:4360.1,16184.0] || member(u,compose(intersection(domain_of(intersection(cross_product(v,w),x)),y),z)) -> member(ordered_pair(f29(u,intersection(domain_of(intersection(cross_product(v,w),x)),y),z),f31(u,intersection(domain_of(intersection(cross_product(v,w),x)),y),z)),v)*. % 299.97/300.41 103930[0:Res:4286.1,16416.0] || member(u,compose(v,intersection(w,domain_of(intersection(x,cross_product(y,z)))))) -> member(ordered_pair(f31(u,v,intersection(w,domain_of(intersection(x,cross_product(y,z))))),f30(u,v,intersection(w,domain_of(intersection(x,cross_product(y,z)))))),y)*. % 299.97/300.41 103895[0:Res:4361.1,16416.0] || member(u,compose(intersection(v,domain_of(intersection(w,cross_product(x,y)))),z)) -> member(ordered_pair(f29(u,intersection(v,domain_of(intersection(w,cross_product(x,y)))),z),f31(u,intersection(v,domain_of(intersection(w,cross_product(x,y)))),z)),x)*. % 299.97/300.41 103888[0:Res:4285.1,16416.0] || member(u,compose(v,intersection(domain_of(intersection(w,cross_product(x,y))),z))) -> member(ordered_pair(f31(u,v,intersection(domain_of(intersection(w,cross_product(x,y))),z)),f30(u,v,intersection(domain_of(intersection(w,cross_product(x,y))),z))),x)*. % 299.97/300.41 103881[0:Res:52.1,16416.0] || member(u,rotate_right(domain_of(intersection(v,cross_product(w,x))))) -> member(ordered_pair(f10(u,domain_of(intersection(v,cross_product(w,x)))),ordered_pair(f11(u,domain_of(intersection(v,cross_product(w,x)))),f9(u,domain_of(intersection(v,cross_product(w,x)))))),w)*. % 299.97/300.41 103879[0:Res:58.1,16416.0] || member(u,flip_range_of(domain_of(intersection(v,cross_product(w,x))))) -> member(ordered_pair(f12(u,domain_of(intersection(v,cross_product(w,x)))),ordered_pair(f14(u,domain_of(intersection(v,cross_product(w,x)))),f13(u,domain_of(intersection(v,cross_product(w,x)))))),w)*. % 299.97/300.41 103878[0:Res:4360.1,16416.0] || member(u,compose(intersection(domain_of(intersection(v,cross_product(w,x))),y),z)) -> member(ordered_pair(f29(u,intersection(domain_of(intersection(v,cross_product(w,x))),y),z),f31(u,intersection(domain_of(intersection(v,cross_product(w,x))),y),z)),w)*. % 299.97/300.41 104175[0:Res:4286.1,17439.0] || member(u,compose(v,intersection(w,range_of(intersection(cross_product(x,y),z))))) -> member(ordered_pair(f31(u,v,intersection(w,range_of(intersection(cross_product(x,y),z)))),f30(u,v,intersection(w,range_of(intersection(cross_product(x,y),z))))),y)*. % 299.97/300.41 104140[0:Res:4361.1,17439.0] || member(u,compose(intersection(v,range_of(intersection(cross_product(w,x),y))),z)) -> member(ordered_pair(f29(u,intersection(v,range_of(intersection(cross_product(w,x),y))),z),f31(u,intersection(v,range_of(intersection(cross_product(w,x),y))),z)),x)*. % 299.97/300.41 104133[0:Res:4285.1,17439.0] || member(u,compose(v,intersection(range_of(intersection(cross_product(w,x),y)),z))) -> member(ordered_pair(f31(u,v,intersection(range_of(intersection(cross_product(w,x),y)),z)),f30(u,v,intersection(range_of(intersection(cross_product(w,x),y)),z))),x)*. % 299.97/300.41 104126[0:Res:52.1,17439.0] || member(u,rotate_right(range_of(intersection(cross_product(v,w),x)))) -> member(ordered_pair(f10(u,range_of(intersection(cross_product(v,w),x))),ordered_pair(f11(u,range_of(intersection(cross_product(v,w),x))),f9(u,range_of(intersection(cross_product(v,w),x))))),w)*. % 299.97/300.41 104124[0:Res:58.1,17439.0] || member(u,flip_range_of(range_of(intersection(cross_product(v,w),x)))) -> member(ordered_pair(f12(u,range_of(intersection(cross_product(v,w),x))),ordered_pair(f14(u,range_of(intersection(cross_product(v,w),x))),f13(u,range_of(intersection(cross_product(v,w),x))))),w)*. % 299.97/300.41 104123[0:Res:4360.1,17439.0] || member(u,compose(intersection(range_of(intersection(cross_product(v,w),x)),y),z)) -> member(ordered_pair(f29(u,intersection(range_of(intersection(cross_product(v,w),x)),y),z),f31(u,intersection(range_of(intersection(cross_product(v,w),x)),y),z)),w)*. % 299.97/300.41 104452[0:Res:4286.1,17546.0] || member(u,compose(v,intersection(w,range_of(intersection(x,cross_product(y,z)))))) -> member(ordered_pair(f31(u,v,intersection(w,range_of(intersection(x,cross_product(y,z))))),f30(u,v,intersection(w,range_of(intersection(x,cross_product(y,z)))))),z)*. % 299.97/300.41 104417[0:Res:4361.1,17546.0] || member(u,compose(intersection(v,range_of(intersection(w,cross_product(x,y)))),z)) -> member(ordered_pair(f29(u,intersection(v,range_of(intersection(w,cross_product(x,y)))),z),f31(u,intersection(v,range_of(intersection(w,cross_product(x,y)))),z)),y)*. % 299.97/300.41 104410[0:Res:4285.1,17546.0] || member(u,compose(v,intersection(range_of(intersection(w,cross_product(x,y))),z))) -> member(ordered_pair(f31(u,v,intersection(range_of(intersection(w,cross_product(x,y))),z)),f30(u,v,intersection(range_of(intersection(w,cross_product(x,y))),z))),y)*. % 299.97/300.41 104403[0:Res:52.1,17546.0] || member(u,rotate_right(range_of(intersection(v,cross_product(w,x))))) -> member(ordered_pair(f10(u,range_of(intersection(v,cross_product(w,x)))),ordered_pair(f11(u,range_of(intersection(v,cross_product(w,x)))),f9(u,range_of(intersection(v,cross_product(w,x)))))),x)*. % 299.97/300.41 104401[0:Res:58.1,17546.0] || member(u,flip_range_of(range_of(intersection(v,cross_product(w,x))))) -> member(ordered_pair(f12(u,range_of(intersection(v,cross_product(w,x)))),ordered_pair(f14(u,range_of(intersection(v,cross_product(w,x)))),f13(u,range_of(intersection(v,cross_product(w,x)))))),x)*. % 299.97/300.41 104400[0:Res:4360.1,17546.0] || member(u,compose(intersection(range_of(intersection(v,cross_product(w,x))),y),z)) -> member(ordered_pair(f29(u,intersection(range_of(intersection(v,cross_product(w,x))),y),z),f31(u,intersection(range_of(intersection(v,cross_product(w,x))),y),z)),x)*. % 299.97/300.41 104692[0:Res:18826.1,5162.4] little_set(first(f27(u,v))) little_set(w) || member(u,range_of(v)) member(f27(u,v),x)* equal(u,w)* -> member(first(f27(u,v)),complement(y))* member(w,image(union(y,z),x))*. % 299.97/300.41 104786[0:SSi:104687.0,371.0] little_set(u) little_set(v) || member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(ordered_pair(u,f7(w,x)),complement(z))* member(v,compose(y,union(z,x1)))*. % 299.97/300.41 104787[0:SSi:104686.0,371.0] little_set(u) little_set(v) || member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(ordered_pair(u,f5(w,x)),complement(z))* member(v,compose(y,union(z,x1)))*. % 299.97/300.41 104799[0:SSi:104637.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,flip_range_of(union(v,w))) -> member(ordered_pair(f12(x,union(v,w)),u),complement(v))* equal(u,ordered_pair(f14(x,union(v,w)),f13(x,union(v,w))))*. % 299.97/300.41 104800[0:SSi:104636.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,rotate_right(union(v,w))) -> member(ordered_pair(f10(x,union(v,w)),u),complement(v))* equal(u,ordered_pair(f11(x,union(v,w)),f9(x,union(v,w))))*. % 299.97/300.41 104802[0:SSi:104697.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),complement(z))* member(v,flip_range_of(union(z,x1)))*. % 299.97/300.41 104803[0:SSi:104696.0,371.0,371.0] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),complement(z))* member(v,rotate_right(union(z,x1)))*. % 299.97/300.41 105036[0:Res:18827.1,5162.4] little_set(first(f27(u,v))) little_set(w) || member(u,range_of(v)) member(f27(u,v),x)* equal(u,w)* -> member(first(f27(u,v)),complement(y))* member(w,image(union(z,y),x))*. % 299.97/300.41 105132[0:SSi:105031.0,371.0] little_set(u) little_set(v) || member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(ordered_pair(u,f7(w,x)),complement(z))* member(v,compose(y,union(x1,z)))*. % 299.97/300.41 105133[0:SSi:105030.0,371.0] little_set(u) little_set(v) || member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(ordered_pair(u,f5(w,x)),complement(z))* member(v,compose(y,union(x1,z)))*. % 299.97/300.41 105145[0:SSi:104981.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,flip_range_of(union(v,w))) -> member(ordered_pair(f12(x,union(v,w)),u),complement(w))* equal(u,ordered_pair(f14(x,union(v,w)),f13(x,union(v,w))))*. % 299.97/300.41 105146[0:SSi:104980.0,371.0] little_set(u) single_valued_set(union(v,w)) || member(x,rotate_right(union(v,w))) -> member(ordered_pair(f10(x,union(v,w)),u),complement(w))* equal(u,ordered_pair(f11(x,union(v,w)),f9(x,union(v,w))))*. % 299.97/300.41 105148[0:SSi:105041.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),complement(z))* member(v,flip_range_of(union(x1,z)))*. % 299.97/300.41 105149[0:SSi:105040.0,371.0,371.0] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),complement(z))* member(v,rotate_right(union(x1,z)))*. % 299.97/300.41 105452[3:AED:105428.4] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,cross_product(z,x1))* -> homomorphism(y,second(w),x,u,v) member(f32(y,second(w),x,u,v),sigma(x1))*. % 299.97/300.41 105453[3:AED:105427.4] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,cross_product(z,x1))* -> homomorphism(y,second(w),x,u,v) member(f33(y,second(w),x,u,v),sigma(x1))*. % 299.97/300.41 7248[0:Res:142.3,547.0] || closed(u,v) closed(range_of(cross_product(w,x)),y) maps(z,range_of(cross_product(w,x)),u) -> homomorphism(z,range_of(cross_product(w,x)),y,u,v) member(f32(z,range_of(cross_product(w,x)),y,u,v),x)*. % 299.97/300.41 7247[0:Res:143.3,547.0] || closed(u,v) closed(range_of(cross_product(w,x)),y) maps(z,range_of(cross_product(w,x)),u) -> homomorphism(z,range_of(cross_product(w,x)),y,u,v) member(f33(z,range_of(cross_product(w,x)),y,u,v),x)*. % 299.97/300.41 7294[0:Res:142.3,560.0] || closed(u,v) closed(domain_of(cross_product(w,x)),y) maps(z,domain_of(cross_product(w,x)),u) -> homomorphism(z,domain_of(cross_product(w,x)),y,u,v) member(f32(z,domain_of(cross_product(w,x)),y,u,v),w)*. % 299.97/300.41 7293[0:Res:143.3,560.0] || closed(u,v) closed(domain_of(cross_product(w,x)),y) maps(z,domain_of(cross_product(w,x)),u) -> homomorphism(z,domain_of(cross_product(w,x)),y,u,v) member(f33(z,domain_of(cross_product(w,x)),y,u,v),w)*. % 299.97/300.41 21144[0:Res:3651.2,82.4] little_set(u) little_set(v) little_set(w) single_valued_set(restrict(x,y)) || member(ordered_pair(w,u),cross_product(y,universal_set))* member(ordered_pair(w,u),x)* member(ordered_pair(w,v),restrict(x,y))* -> equal(v,u)*. % 299.97/300.41 21253[0:Res:288.1,1421.0] || -> single_valued_set(intersection(ordered_pair(u,v),w)) equal(ordered_pair(f19(intersection(ordered_pair(u,v),w)),f20(intersection(ordered_pair(u,v),w))),non_ordered_pair(u,v))** equal(ordered_pair(f19(intersection(ordered_pair(u,v),w)),f20(intersection(ordered_pair(u,v),w))),singleton_set(u)). % 299.97/300.41 21252[0:Res:287.1,1421.0] || -> single_valued_set(intersection(ordered_pair(u,v),w)) equal(ordered_pair(f19(intersection(ordered_pair(u,v),w)),f21(intersection(ordered_pair(u,v),w))),non_ordered_pair(u,v))** equal(ordered_pair(f19(intersection(ordered_pair(u,v),w)),f21(intersection(ordered_pair(u,v),w))),singleton_set(u)). % 299.97/300.41 21250[0:Res:280.1,1421.0] || -> single_valued_set(intersection(u,ordered_pair(v,w))) equal(ordered_pair(f19(intersection(u,ordered_pair(v,w))),f20(intersection(u,ordered_pair(v,w)))),non_ordered_pair(v,w))** equal(ordered_pair(f19(intersection(u,ordered_pair(v,w))),f20(intersection(u,ordered_pair(v,w)))),singleton_set(v)). % 299.97/300.41 21249[0:Res:279.1,1421.0] || -> single_valued_set(intersection(u,ordered_pair(v,w))) equal(ordered_pair(f19(intersection(u,ordered_pair(v,w))),f21(intersection(u,ordered_pair(v,w)))),non_ordered_pair(v,w))** equal(ordered_pair(f19(intersection(u,ordered_pair(v,w))),f21(intersection(u,ordered_pair(v,w)))),singleton_set(v)). % 299.97/300.41 22354[0:Res:5009.3,82.4] little_set(u) little_set(v) little_set(w) little_set(x) little_set(y) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(y,w),v)* member(ordered_pair(y,x),first(ordered_pair(v,u)))* -> equal(x,w)*. % 299.97/300.41 22477[0:Res:142.3,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(f2(u),x) maps(y,f2(u),v) equal(z,u) -> homomorphism(y,f2(u),x,v,w) member(f32(y,f2(u),x,v,w),first(z))*. % 299.97/300.41 22476[0:Res:143.3,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(f2(u),x) maps(y,f2(u),v) equal(z,u) -> homomorphism(y,f2(u),x,v,w) member(f33(y,f2(u),x,v,w),first(z))*. % 299.97/300.41 22598[0:Res:5054.3,82.4] little_set(u) little_set(v) little_set(w) little_set(x) little_set(y) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(y,w),u)* member(ordered_pair(y,x),second(ordered_pair(v,u)))* -> equal(x,w)*. % 299.97/300.41 22685[0:Res:142.3,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(f3(u),x) maps(y,f3(u),v) equal(z,u) -> homomorphism(y,f3(u),x,v,w) member(f32(y,f3(u),x,v,w),second(z))*. % 299.97/300.41 22684[0:Res:143.3,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(f3(u),x) maps(y,f3(u),v) equal(z,u) -> homomorphism(y,f3(u),x,v,w) member(f33(y,f3(u),x,v,w),second(z))*. % 299.97/300.41 24357[0:Res:554.1,1163.0] || member(u,v) -> single_valued_set(cross_product(converse(u),w)) member(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(u),w)),f20(cross_product(converse(u),w))))),first(first(ordered_pair(f19(cross_product(converse(u),w)),f20(cross_product(converse(u),w)))))),sigma(v))*. % 299.97/300.41 24356[0:Res:553.1,1163.0] || member(u,v) -> single_valued_set(cross_product(converse(u),w)) member(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(u),w)),f21(cross_product(converse(u),w))))),first(first(ordered_pair(f19(cross_product(converse(u),w)),f21(cross_product(converse(u),w)))))),sigma(v))*. % 299.97/300.41 24348[0:Res:136.1,1163.0] || member(u,compose(v,converse(w))) member(w,x) -> member(ordered_pair(second(ordered_pair(f31(u,v,converse(w)),f30(u,v,converse(w)))),first(ordered_pair(f31(u,v,converse(w)),f30(u,v,converse(w))))),sigma(x))*. % 299.97/300.41 24340[0:Res:135.1,1163.0] || member(u,compose(converse(v),w)) member(v,x) -> member(ordered_pair(second(ordered_pair(f29(u,converse(v),w),f31(u,converse(v),w))),first(ordered_pair(f29(u,converse(v),w),f31(u,converse(v),w)))),sigma(x))*. % 299.97/300.41 24318[0:Res:541.1,1163.0] || member(u,v) -> single_valued_set(cross_product(w,converse(u))) member(ordered_pair(second(second(ordered_pair(f19(cross_product(w,converse(u))),f20(cross_product(w,converse(u)))))),first(second(ordered_pair(f19(cross_product(w,converse(u))),f20(cross_product(w,converse(u))))))),sigma(v))*. % 299.97/300.41 24317[0:Res:540.1,1163.0] || member(u,v) -> single_valued_set(cross_product(w,converse(u))) member(ordered_pair(second(second(ordered_pair(f19(cross_product(w,converse(u))),f21(cross_product(w,converse(u)))))),first(second(ordered_pair(f19(cross_product(w,converse(u))),f21(cross_product(w,converse(u))))))),sigma(v))*. % 299.97/300.41 27060[0:Res:1549.1,1014.0] || member(u,image(cross_product(converse(cross_product(v,w)),x),y)) -> member(first(ordered_pair(second(first(first(f22(u,cross_product(converse(cross_product(v,w)),x),y)))),first(first(first(f22(u,cross_product(converse(cross_product(v,w)),x),y)))))),v)*. % 299.97/300.41 27059[0:Res:1549.1,1015.0] || member(u,image(cross_product(converse(cross_product(v,w)),x),y)) -> member(second(ordered_pair(second(first(first(f22(u,cross_product(converse(cross_product(v,w)),x),y)))),first(first(first(f22(u,cross_product(converse(cross_product(v,w)),x),y)))))),w)*. % 299.97/300.41 27205[0:Res:1550.1,1014.0] || member(u,image(cross_product(v,converse(cross_product(w,x))),y)) -> member(first(ordered_pair(second(second(first(f22(u,cross_product(v,converse(cross_product(w,x))),y)))),first(second(first(f22(u,cross_product(v,converse(cross_product(w,x))),y)))))),w)*. % 299.97/300.41 27204[0:Res:1550.1,1015.0] || member(u,image(cross_product(v,converse(cross_product(w,x))),y)) -> member(second(ordered_pair(second(second(first(f22(u,cross_product(v,converse(cross_product(w,x))),y)))),first(second(first(f22(u,cross_product(v,converse(cross_product(w,x))),y)))))),x)*. % 299.97/300.41 31413[0:Res:3824.2,1020.0] || -> equal(u,intersection(converse(intersection(v,w)),x)) member(f1(u,intersection(converse(intersection(v,w)),x)),u) member(ordered_pair(second(f1(u,intersection(converse(intersection(v,w)),x))),first(f1(u,intersection(converse(intersection(v,w)),x)))),v)*. % 299.97/300.41 31412[0:Res:3824.2,1021.0] || -> equal(u,intersection(converse(intersection(v,w)),x)) member(f1(u,intersection(converse(intersection(v,w)),x)),u) member(ordered_pair(second(f1(u,intersection(converse(intersection(v,w)),x))),first(f1(u,intersection(converse(intersection(v,w)),x)))),w)*. % 299.97/300.41 31355[0:Res:3824.1,1020.0] || -> equal(converse(intersection(u,v)),intersection(w,x)) member(f1(converse(intersection(u,v)),intersection(w,x)),w) member(ordered_pair(second(f1(converse(intersection(u,v)),intersection(w,x))),first(f1(converse(intersection(u,v)),intersection(w,x)))),u)*. % 299.97/300.41 31354[0:Res:3824.1,1021.0] || -> equal(converse(intersection(u,v)),intersection(w,x)) member(f1(converse(intersection(u,v)),intersection(w,x)),w) member(ordered_pair(second(f1(converse(intersection(u,v)),intersection(w,x))),first(f1(converse(intersection(u,v)),intersection(w,x)))),v)*. % 299.97/300.41 31623[0:Res:3825.2,1020.0] || -> equal(u,intersection(v,converse(intersection(w,x)))) member(f1(u,intersection(v,converse(intersection(w,x)))),u) member(ordered_pair(second(f1(u,intersection(v,converse(intersection(w,x))))),first(f1(u,intersection(v,converse(intersection(w,x)))))),w)*. % 299.97/300.41 31622[0:Res:3825.2,1021.0] || -> equal(u,intersection(v,converse(intersection(w,x)))) member(f1(u,intersection(v,converse(intersection(w,x)))),u) member(ordered_pair(second(f1(u,intersection(v,converse(intersection(w,x))))),first(f1(u,intersection(v,converse(intersection(w,x)))))),x)*. % 299.97/300.42 31565[0:Res:3825.1,1020.0] || -> equal(converse(intersection(u,v)),intersection(w,x)) member(f1(converse(intersection(u,v)),intersection(w,x)),x) member(ordered_pair(second(f1(converse(intersection(u,v)),intersection(w,x))),first(f1(converse(intersection(u,v)),intersection(w,x)))),u)*. % 299.97/300.42 31564[0:Res:3825.1,1021.0] || -> equal(converse(intersection(u,v)),intersection(w,x)) member(f1(converse(intersection(u,v)),intersection(w,x)),x) member(ordered_pair(second(f1(converse(intersection(u,v)),intersection(w,x))),first(f1(converse(intersection(u,v)),intersection(w,x)))),v)*. % 299.97/300.42 31806[0:Res:3842.2,1020.0] || -> equal(intersection(converse(intersection(u,v)),w),x) member(f1(intersection(converse(intersection(u,v)),w),x),x) member(ordered_pair(second(f1(intersection(converse(intersection(u,v)),w),x)),first(f1(intersection(converse(intersection(u,v)),w),x))),u)*. % 299.97/300.42 31805[0:Res:3842.2,1021.0] || -> equal(intersection(converse(intersection(u,v)),w),x) member(f1(intersection(converse(intersection(u,v)),w),x),x) member(ordered_pair(second(f1(intersection(converse(intersection(u,v)),w),x)),first(f1(intersection(converse(intersection(u,v)),w),x))),v)*. % 299.97/300.42 31748[0:Res:3842.1,1020.0] || -> equal(intersection(u,v),converse(intersection(w,x))) member(f1(intersection(u,v),converse(intersection(w,x))),u) member(ordered_pair(second(f1(intersection(u,v),converse(intersection(w,x)))),first(f1(intersection(u,v),converse(intersection(w,x))))),w)*. % 299.97/300.42 31747[0:Res:3842.1,1021.0] || -> equal(intersection(u,v),converse(intersection(w,x))) member(f1(intersection(u,v),converse(intersection(w,x))),u) member(ordered_pair(second(f1(intersection(u,v),converse(intersection(w,x)))),first(f1(intersection(u,v),converse(intersection(w,x))))),x)*. % 299.97/300.42 31987[0:Res:3843.2,1020.0] || -> equal(intersection(u,converse(intersection(v,w))),x) member(f1(intersection(u,converse(intersection(v,w))),x),x) member(ordered_pair(second(f1(intersection(u,converse(intersection(v,w))),x)),first(f1(intersection(u,converse(intersection(v,w))),x))),v)*. % 299.97/300.42 31986[0:Res:3843.2,1021.0] || -> equal(intersection(u,converse(intersection(v,w))),x) member(f1(intersection(u,converse(intersection(v,w))),x),x) member(ordered_pair(second(f1(intersection(u,converse(intersection(v,w))),x)),first(f1(intersection(u,converse(intersection(v,w))),x))),w)*. % 299.97/300.42 31929[0:Res:3843.1,1020.0] || -> equal(intersection(u,v),converse(intersection(w,x))) member(f1(intersection(u,v),converse(intersection(w,x))),v) member(ordered_pair(second(f1(intersection(u,v),converse(intersection(w,x)))),first(f1(intersection(u,v),converse(intersection(w,x))))),w)*. % 299.97/300.42 31928[0:Res:3843.1,1021.0] || -> equal(intersection(u,v),converse(intersection(w,x))) member(f1(intersection(u,v),converse(intersection(w,x))),v) member(ordered_pair(second(f1(intersection(u,v),converse(intersection(w,x)))),first(f1(intersection(u,v),converse(intersection(w,x))))),x)*. % 299.97/300.42 32831[0:Res:3836.2,1421.0] || -> equal(cross_product(u,ordered_pair(v,w)),x) member(f1(cross_product(u,ordered_pair(v,w)),x),x)* equal(second(f1(cross_product(u,ordered_pair(v,w)),x)),non_ordered_pair(v,w)) equal(second(f1(cross_product(u,ordered_pair(v,w)),x)),singleton_set(v)). % 299.97/300.42 32731[0:Res:3836.1,3811.0] || -> equal(cross_product(u,v),w) member(second(f1(cross_product(u,v),w)),v)* equal(x,f1(cross_product(u,v),w)) member(f1(x,f1(cross_product(u,v),w)),x)* member(f1(x,f1(cross_product(u,v),w)),sigma(w))*. % 299.97/300.42 32730[0:Res:3836.1,3829.0] || -> equal(cross_product(u,v),w) member(second(f1(cross_product(u,v),w)),v)* equal(f1(cross_product(u,v),w),x) member(f1(f1(cross_product(u,v),w),x),x)* member(f1(f1(cross_product(u,v),w),x),sigma(w))*. % 299.97/300.42 32996[0:Res:3835.2,1421.0] || -> equal(cross_product(ordered_pair(u,v),w),x) member(f1(cross_product(ordered_pair(u,v),w),x),x)* equal(first(f1(cross_product(ordered_pair(u,v),w),x)),non_ordered_pair(u,v)) equal(first(f1(cross_product(ordered_pair(u,v),w),x)),singleton_set(u)). % 299.97/300.42 32896[0:Res:3835.1,3811.0] || -> equal(cross_product(u,v),w) member(first(f1(cross_product(u,v),w)),u)* equal(x,f1(cross_product(u,v),w)) member(f1(x,f1(cross_product(u,v),w)),x)* member(f1(x,f1(cross_product(u,v),w)),sigma(w))*. % 299.97/300.42 32895[0:Res:3835.1,3829.0] || -> equal(cross_product(u,v),w) member(first(f1(cross_product(u,v),w)),u)* equal(f1(cross_product(u,v),w),x) member(f1(f1(cross_product(u,v),w),x),x)* member(f1(f1(cross_product(u,v),w),x),sigma(w))*. % 299.97/300.42 33167[0:Res:3818.2,1421.0] || -> equal(u,cross_product(v,ordered_pair(w,x))) member(f1(u,cross_product(v,ordered_pair(w,x))),u)* equal(second(f1(u,cross_product(v,ordered_pair(w,x)))),non_ordered_pair(w,x)) equal(second(f1(u,cross_product(v,ordered_pair(w,x)))),singleton_set(w)). % 299.97/300.42 33067[0:Res:3818.1,3811.0] || -> equal(u,cross_product(v,w)) member(second(f1(u,cross_product(v,w))),w)* equal(x,f1(u,cross_product(v,w))) member(f1(x,f1(u,cross_product(v,w))),x)* member(f1(x,f1(u,cross_product(v,w))),sigma(u))*. % 299.97/300.42 33066[0:Res:3818.1,3829.0] || -> equal(u,cross_product(v,w)) member(second(f1(u,cross_product(v,w))),w)* equal(f1(u,cross_product(v,w)),x) member(f1(f1(u,cross_product(v,w)),x),x)* member(f1(f1(u,cross_product(v,w)),x),sigma(u))*. % 299.97/300.42 33333[0:Res:3817.2,1421.0] || -> equal(u,cross_product(ordered_pair(v,w),x)) member(f1(u,cross_product(ordered_pair(v,w),x)),u)* equal(first(f1(u,cross_product(ordered_pair(v,w),x))),non_ordered_pair(v,w)) equal(first(f1(u,cross_product(ordered_pair(v,w),x))),singleton_set(v)). % 299.97/300.42 33233[0:Res:3817.1,3811.0] || -> equal(u,cross_product(v,w)) member(first(f1(u,cross_product(v,w))),v)* equal(x,f1(u,cross_product(v,w))) member(f1(x,f1(u,cross_product(v,w))),x)* member(f1(x,f1(u,cross_product(v,w))),sigma(u))*. % 299.97/300.42 33232[0:Res:3817.1,3829.0] || -> equal(u,cross_product(v,w)) member(first(f1(u,cross_product(v,w))),v)* equal(f1(u,cross_product(v,w)),x) member(f1(f1(u,cross_product(v,w)),x),x)* member(f1(f1(u,cross_product(v,w)),x),sigma(u))*. % 299.97/300.42 33618[0:Res:957.2,1441.0] || subset(u,converse(non_ordered_pair(v,w)))* -> single_valued_set(u) equal(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),w)* equal(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),v)*. % 299.97/300.42 33617[0:Res:956.2,1441.0] || subset(u,converse(non_ordered_pair(v,w)))* -> single_valued_set(u) equal(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),w)* equal(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),v)*. % 299.97/300.42 33660[0:Rew:95.1,33644.2,95.1,33644.1] || member(u,image(v,intersection(w,converse(non_ordered_pair(x,y))))) -> equal(ordered_pair(u,first(f22(u,v,intersection(w,converse(non_ordered_pair(x,y)))))),y)** equal(ordered_pair(u,first(f22(u,v,intersection(w,converse(non_ordered_pair(x,y)))))),x)**. % 299.97/300.42 33661[0:Rew:119.1,33606.2,119.1,33606.1] || member(u,apply(intersection(v,converse(non_ordered_pair(w,x))),y)) -> equal(ordered_pair(second(f28(u,intersection(v,converse(non_ordered_pair(w,x))),y)),y),x)** equal(ordered_pair(second(f28(u,intersection(v,converse(non_ordered_pair(w,x))),y)),y),w)**. % 299.97/300.42 33662[0:Rew:95.1,33596.2,95.1,33596.1] || member(u,image(v,intersection(converse(non_ordered_pair(w,x)),y))) -> equal(ordered_pair(u,first(f22(u,v,intersection(converse(non_ordered_pair(w,x)),y)))),x)** equal(ordered_pair(u,first(f22(u,v,intersection(converse(non_ordered_pair(w,x)),y)))),w)**. % 299.97/300.42 33663[0:Rew:119.1,33574.2,119.1,33574.1] || member(u,apply(intersection(converse(non_ordered_pair(v,w)),x),y)) -> equal(ordered_pair(second(f28(u,intersection(converse(non_ordered_pair(v,w)),x),y)),y),w)** equal(ordered_pair(second(f28(u,intersection(converse(non_ordered_pair(v,w)),x),y)),y),v)**. % 299.97/300.42 34331[0:Res:1007.2,1437.0] || member(u,domain_of(v)) member(f8(u,v),converse(range_of(non_ordered_pair(w,x)))) -> equal(f27(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x)),x)** equal(f27(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34330[0:Res:1008.2,1437.0] || member(u,range_of(v)) member(f27(u,v),converse(range_of(non_ordered_pair(w,x)))) -> equal(f27(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x)),x)** equal(f27(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34240[0:Res:86.1,1437.0] || -> single_valued_set(range_of(non_ordered_pair(u,v))) equal(f27(ordered_pair(f19(range_of(non_ordered_pair(u,v))),f20(range_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),v)** equal(f27(ordered_pair(f19(range_of(non_ordered_pair(u,v))),f20(range_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),u)**. % 299.97/300.42 34239[0:Res:87.1,1437.0] || -> single_valued_set(range_of(non_ordered_pair(u,v))) equal(f27(ordered_pair(f19(range_of(non_ordered_pair(u,v))),f21(range_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),v)** equal(f27(ordered_pair(f19(range_of(non_ordered_pair(u,v))),f21(range_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),u)**. % 299.97/300.42 34503[0:Res:1007.2,1438.0] || member(u,domain_of(v)) member(f8(u,v),converse(sigma(non_ordered_pair(w,x)))) -> equal(f16(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x)),x)** equal(f16(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34502[0:Res:1008.2,1438.0] || member(u,range_of(v)) member(f27(u,v),converse(sigma(non_ordered_pair(w,x)))) -> equal(f16(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x)),x)** equal(f16(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34407[0:Res:86.1,1438.0] || -> single_valued_set(sigma(non_ordered_pair(u,v))) equal(f16(ordered_pair(f19(sigma(non_ordered_pair(u,v))),f20(sigma(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),v)** equal(f16(ordered_pair(f19(sigma(non_ordered_pair(u,v))),f20(sigma(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),u)**. % 299.97/300.42 34406[0:Res:87.1,1438.0] || -> single_valued_set(sigma(non_ordered_pair(u,v))) equal(f16(ordered_pair(f19(sigma(non_ordered_pair(u,v))),f21(sigma(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),v)** equal(f16(ordered_pair(f19(sigma(non_ordered_pair(u,v))),f21(sigma(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),u)**. % 299.97/300.42 34668[0:Res:1007.2,1439.0] || member(u,domain_of(v)) member(f8(u,v),converse(domain_of(non_ordered_pair(w,x)))) -> equal(f8(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x)),x)** equal(f8(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34667[0:Res:1008.2,1439.0] || member(u,range_of(v)) member(f27(u,v),converse(domain_of(non_ordered_pair(w,x)))) -> equal(f8(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x)),x)** equal(f8(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34577[0:Res:86.1,1439.0] || -> single_valued_set(domain_of(non_ordered_pair(u,v))) equal(f8(ordered_pair(f19(domain_of(non_ordered_pair(u,v))),f20(domain_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),v)** equal(f8(ordered_pair(f19(domain_of(non_ordered_pair(u,v))),f20(domain_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),u)**. % 299.97/300.42 34576[0:Res:87.1,1439.0] || -> single_valued_set(domain_of(non_ordered_pair(u,v))) equal(f8(ordered_pair(f19(domain_of(non_ordered_pair(u,v))),f21(domain_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),v)** equal(f8(ordered_pair(f19(domain_of(non_ordered_pair(u,v))),f21(domain_of(non_ordered_pair(u,v)))),non_ordered_pair(u,v)),u)**. % 299.97/300.42 34756[0:Res:3651.2,3673.0] || member(f17(u,intersection(v,restrict(w,x))),cross_product(x,universal_set))* member(f17(u,intersection(v,restrict(w,x))),w)* member(f17(u,intersection(v,restrict(w,x))),v)* -> subset(u,intersection(v,restrict(w,x))). % 299.97/300.42 34791[3:MRR:34743.0,6168.1] || member(second(f17(u,intersection(v,cross_product(w,x)))),x)* member(first(f17(u,intersection(v,cross_product(w,x)))),w)* member(f17(u,intersection(v,cross_product(w,x))),v)* -> subset(u,intersection(v,cross_product(w,x))). % 299.97/300.42 34840[0:Res:3651.2,4166.1] || member(f1(restrict(u,v),non_ordered_pair(w,x)),cross_product(v,universal_set))* member(f1(restrict(u,v),non_ordered_pair(w,x)),u)* equal(f1(restrict(u,v),non_ordered_pair(w,x)),x) -> equal(restrict(u,v),non_ordered_pair(w,x)). % 299.97/300.42 34863[3:MRR:34827.0,6237.1] || member(second(f1(cross_product(u,v),non_ordered_pair(w,x))),v)* member(first(f1(cross_product(u,v),non_ordered_pair(w,x))),u)* equal(f1(cross_product(u,v),non_ordered_pair(w,x)),x) -> equal(cross_product(u,v),non_ordered_pair(w,x)). % 299.97/300.42 34908[0:Res:3651.2,4167.1] || member(f1(restrict(u,v),non_ordered_pair(w,x)),cross_product(v,universal_set))* member(f1(restrict(u,v),non_ordered_pair(w,x)),u)* equal(f1(restrict(u,v),non_ordered_pair(w,x)),w) -> equal(restrict(u,v),non_ordered_pair(w,x)). % 299.97/300.42 34931[3:MRR:34895.0,6237.1] || member(second(f1(cross_product(u,v),non_ordered_pair(w,x))),v)* member(first(f1(cross_product(u,v),non_ordered_pair(w,x))),u)* equal(f1(cross_product(u,v),non_ordered_pair(w,x)),w) -> equal(cross_product(u,v),non_ordered_pair(w,x)). % 299.97/300.42 35083[0:Res:3842.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,z),f29(u,v,w)) member(f1(intersection(y,z),f29(u,v,w)),y)* member(f1(intersection(y,z),f29(u,v,w)),first(x))*. % 299.97/300.42 35082[0:Res:3843.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,z),f29(u,v,w)) member(f1(intersection(y,z),f29(u,v,w)),z)* member(f1(intersection(y,z),f29(u,v,w)),first(x))*. % 299.97/300.42 35081[0:Res:3825.2,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(y,intersection(z,f29(u,v,w))) member(f1(y,intersection(z,f29(u,v,w))),y)* member(f1(y,intersection(z,f29(u,v,w))),first(x))*. % 299.97/300.42 35052[0:Res:3843.2,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,f29(u,v,w)),z) member(f1(intersection(y,f29(u,v,w)),z),z)* member(f1(intersection(y,f29(u,v,w)),z),first(x))*. % 299.97/300.42 35051[0:Res:3824.2,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(y,intersection(f29(u,v,w),z)) member(f1(y,intersection(f29(u,v,w),z)),y)* member(f1(y,intersection(f29(u,v,w),z)),first(x))*. % 299.97/300.42 35019[0:Res:3842.2,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(f29(u,v,w),y),z) member(f1(intersection(f29(u,v,w),y),z),z)* member(f1(intersection(f29(u,v,w),y),z),first(x))*. % 299.97/300.42 35013[0:Res:3824.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),intersection(y,z)) member(f1(f29(u,v,w),intersection(y,z)),y)* member(f1(f29(u,v,w),intersection(y,z)),first(x))*. % 299.97/300.42 35012[0:Res:3825.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),intersection(y,z)) member(f1(f29(u,v,w),intersection(y,z)),z)* member(f1(f29(u,v,w),intersection(y,z)),first(x))*. % 299.97/300.42 35253[0:Res:3842.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,z),f30(u,v,w)) member(f1(intersection(y,z),f30(u,v,w)),y)* member(f1(intersection(y,z),f30(u,v,w)),second(x))*. % 299.97/300.42 35252[0:Res:3843.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,z),f30(u,v,w)) member(f1(intersection(y,z),f30(u,v,w)),z)* member(f1(intersection(y,z),f30(u,v,w)),second(x))*. % 299.97/300.42 35251[0:Res:3825.2,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(y,intersection(z,f30(u,v,w))) member(f1(y,intersection(z,f30(u,v,w))),y)* member(f1(y,intersection(z,f30(u,v,w))),second(x))*. % 299.97/300.42 35222[0:Res:3843.2,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(y,f30(u,v,w)),z) member(f1(intersection(y,f30(u,v,w)),z),z)* member(f1(intersection(y,f30(u,v,w)),z),second(x))*. % 299.97/300.42 35221[0:Res:3824.2,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(y,intersection(f30(u,v,w),z)) member(f1(y,intersection(f30(u,v,w),z)),y)* member(f1(y,intersection(f30(u,v,w),z)),second(x))*. % 299.97/300.42 35189[0:Res:3842.2,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(intersection(f30(u,v,w),y),z) member(f1(intersection(f30(u,v,w),y),z),z)* member(f1(intersection(f30(u,v,w),y),z),second(x))*. % 299.97/300.42 35183[0:Res:3824.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),intersection(y,z)) member(f1(f30(u,v,w),intersection(y,z)),y)* member(f1(f30(u,v,w),intersection(y,z)),second(x))*. % 299.97/300.42 35182[0:Res:3825.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),intersection(y,z)) member(f1(f30(u,v,w),intersection(y,z)),z)* member(f1(f30(u,v,w),intersection(y,z)),second(x))*. % 299.97/300.42 35331[0:Res:4273.2,1163.0] || member(u,compose(v,w)) subset(w,converse(x))* member(x,y)* -> member(ordered_pair(second(ordered_pair(f31(u,v,w),f30(u,v,w))),first(ordered_pair(f31(u,v,w),f30(u,v,w)))),sigma(y))*. % 299.97/300.42 35451[0:Res:4348.2,1163.0] || member(u,compose(v,w)) subset(v,converse(x))* member(x,y)* -> member(ordered_pair(second(ordered_pair(f29(u,v,w),f31(u,v,w))),first(ordered_pair(f29(u,v,w),f31(u,v,w)))),sigma(y))*. % 299.97/300.42 35647[3:SSi:35591.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),sigma(v)) -> member(u,converse(converse(f16(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v))))*. % 299.97/300.42 35806[3:SSi:35750.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),first(v)) -> member(u,converse(converse(f4(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v))))*. % 299.97/300.42 36025[3:SSi:35969.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),second(v)) -> member(u,converse(converse(f7(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v))))*. % 299.97/300.42 36563[0:Res:4622.2,1020.0] || member(u,flip_range_of(v)) subset(v,converse(intersection(w,x)))* -> member(ordered_pair(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))),w)*. % 299.97/300.42 36562[0:Res:4622.2,1021.0] || member(u,flip_range_of(v)) subset(v,converse(intersection(w,x)))* -> member(ordered_pair(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))),x)*. % 299.97/300.42 36991[0:Res:4770.2,1020.0] || member(u,rotate_right(v)) subset(v,converse(intersection(w,x)))* -> member(ordered_pair(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))),w)*. % 299.97/300.42 36990[0:Res:4770.2,1021.0] || member(u,rotate_right(v)) subset(v,converse(intersection(w,x)))* -> member(ordered_pair(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))),x)*. % 299.97/300.42 39212[0:Res:33.2,4620.1] || member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w)* member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)* member(u,flip_range_of(v)) disjoint(intersection(x,w),v)* -> . % 299.97/300.42 39211[0:Res:120.1,4620.1] || member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),apply(w,x)) member(u,flip_range_of(v)) disjoint(second(f28(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w,x)),v)* -> . % 299.97/300.42 39732[0:Res:33.2,4768.1] || member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w)* member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)* member(u,rotate_right(v)) disjoint(intersection(x,w),v)* -> . % 299.97/300.42 39731[0:Res:120.1,4768.1] || member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),apply(w,x)) member(u,rotate_right(v)) disjoint(second(f28(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w,x)),v)* -> . % 299.97/300.42 40284[0:Res:1556.1,5068.1] || member(u,image(intersection(v,ordered_pair(f10(w,x),f11(w,x))),y)) member(w,rotate_right(x)) equal(z,w) -> member(first(f22(u,intersection(v,ordered_pair(f10(w,x),f11(w,x))),y)),second(z))*. % 299.97/300.42 40283[0:Res:1344.1,5068.1] || member(u,image(v,cross_product(ordered_pair(f10(w,x),f11(w,x)),y))) member(w,rotate_right(x)) equal(z,w) -> member(first(f22(u,v,cross_product(ordered_pair(f10(w,x),f11(w,x)),y))),second(z))*. % 299.97/300.42 40280[0:Res:1555.1,5068.1] || member(u,image(intersection(ordered_pair(f10(v,w),f11(v,w)),x),y)) member(v,rotate_right(w)) equal(z,v) -> member(first(f22(u,intersection(ordered_pair(f10(v,w),f11(v,w)),x),y)),second(z))*. % 299.97/300.42 40232[0:Res:1280.1,5068.1] || member(u,apply(cross_product(v,ordered_pair(f10(w,x),f11(w,x))),y)) member(w,rotate_right(x)) equal(z,w) -> member(second(f28(u,cross_product(v,ordered_pair(f10(w,x),f11(w,x))),y)),second(z))*. % 299.97/300.42 40464[0:Res:1556.1,5070.1] || member(u,image(intersection(v,ordered_pair(f13(w,x),f14(w,x))),y)) member(w,flip_range_of(x)) equal(z,w) -> member(first(f22(u,intersection(v,ordered_pair(f13(w,x),f14(w,x))),y)),second(z))*. % 299.97/300.42 40463[0:Res:1344.1,5070.1] || member(u,image(v,cross_product(ordered_pair(f13(w,x),f14(w,x)),y))) member(w,flip_range_of(x)) equal(z,w) -> member(first(f22(u,v,cross_product(ordered_pair(f13(w,x),f14(w,x)),y))),second(z))*. % 299.97/300.42 40460[0:Res:1555.1,5070.1] || member(u,image(intersection(ordered_pair(f13(v,w),f14(v,w)),x),y)) member(v,flip_range_of(w)) equal(z,v) -> member(first(f22(u,intersection(ordered_pair(f13(v,w),f14(v,w)),x),y)),second(z))*. % 299.97/300.42 40412[0:Res:1280.1,5070.1] || member(u,apply(cross_product(v,ordered_pair(f13(w,x),f14(w,x))),y)) member(w,flip_range_of(x)) equal(z,w) -> member(second(f28(u,cross_product(v,ordered_pair(f13(w,x),f14(w,x))),y)),second(z))*. % 299.97/300.42 40527[3:Res:10.2,6235.0] little_set(second(f17(u,cross_product(v,non_ordered_pair(w,x))))) || equal(second(f17(u,cross_product(v,non_ordered_pair(w,x)))),x) member(first(f17(u,cross_product(v,non_ordered_pair(w,x)))),v)* -> subset(u,cross_product(v,non_ordered_pair(w,x))). % 299.97/300.42 40526[3:Res:9.2,6235.0] little_set(second(f17(u,cross_product(v,non_ordered_pair(w,x))))) || equal(second(f17(u,cross_product(v,non_ordered_pair(w,x)))),w) member(first(f17(u,cross_product(v,non_ordered_pair(w,x)))),v)* -> subset(u,cross_product(v,non_ordered_pair(w,x))). % 299.97/300.42 40777[0:Res:1468.2,5070.1] || member(u,image(v,w)) member(f22(u,v,w),converse(ordered_pair(f13(x,y),f14(x,y))))* member(x,flip_range_of(y)) equal(z,x)* -> member(ordered_pair(u,first(f22(u,v,w))),second(z))*. % 299.97/300.42 40776[0:Res:1468.2,5068.1] || member(u,image(v,w)) member(f22(u,v,w),converse(ordered_pair(f10(x,y),f11(x,y))))* member(x,rotate_right(y)) equal(z,x)* -> member(ordered_pair(u,first(f22(u,v,w))),second(z))*. % 299.97/300.42 40724[0:Res:1468.2,1163.0] || member(u,image(v,w)) member(f22(u,v,w),converse(converse(x)))* member(x,y)* -> member(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),sigma(y))*. % 299.97/300.42 40921[0:Res:1464.2,5070.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(ordered_pair(f13(x,y),f14(x,y))))* member(x,flip_range_of(y)) equal(z,x)* -> member(ordered_pair(second(f28(u,v,w)),w),second(z))*. % 299.97/300.42 40920[0:Res:1464.2,5068.1] || member(u,apply(v,w)) member(f28(u,v,w),converse(ordered_pair(f10(x,y),f11(x,y))))* member(x,rotate_right(y)) equal(z,x)* -> member(ordered_pair(second(f28(u,v,w)),w),second(z))*. % 299.97/300.42 40870[0:Res:1464.2,1163.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(converse(x)))* member(x,y)* -> member(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),sigma(y))*. % 299.97/300.42 41262[0:Res:4286.1,5065.1] || member(u,compose(v,intersection(w,f7(x,y)))) member(x,second(y)) equal(z,y) -> member(ordered_pair(f31(u,v,intersection(w,f7(x,y))),f30(u,v,intersection(w,f7(x,y)))),second(z))*. % 299.97/300.42 41261[0:Res:4286.1,5064.1] || member(u,compose(v,intersection(w,f5(x,y)))) member(x,first(y)) equal(z,y) -> member(ordered_pair(f31(u,v,intersection(w,f5(x,y))),f30(u,v,intersection(w,f5(x,y)))),second(z))*. % 299.97/300.42 41260[0:Res:4286.1,5024.1] || member(u,compose(v,intersection(w,f12(x,y)))) member(x,flip_range_of(y)) equal(z,x) -> member(ordered_pair(f31(u,v,intersection(w,f12(x,y))),f30(u,v,intersection(w,f12(x,y)))),first(z))*. % 299.97/300.42 41259[0:Res:4286.1,5022.1] || member(u,compose(v,intersection(w,f9(x,y)))) member(x,rotate_right(y)) equal(z,x) -> member(ordered_pair(f31(u,v,intersection(w,f9(x,y))),f30(u,v,intersection(w,f9(x,y)))),first(z))*. % 299.97/300.42 41258[0:Res:4286.1,5020.1] || member(u,compose(v,intersection(w,f6(x,y)))) member(x,second(y)) equal(z,y) -> member(ordered_pair(f31(u,v,intersection(w,f6(x,y))),f30(u,v,intersection(w,f6(x,y)))),first(z))*. % 299.97/300.42 41257[0:Res:4286.1,5019.1] || member(u,compose(v,intersection(w,f4(x,y)))) member(x,first(y)) equal(z,y) -> member(ordered_pair(f31(u,v,intersection(w,f4(x,y))),f30(u,v,intersection(w,f4(x,y)))),first(z))*. % 299.97/300.42 41501[0:Res:4285.1,5065.1] || member(u,compose(v,intersection(f7(w,x),y))) member(w,second(x)) equal(z,x) -> member(ordered_pair(f31(u,v,intersection(f7(w,x),y)),f30(u,v,intersection(f7(w,x),y))),second(z))*. % 299.97/300.42 41500[0:Res:4285.1,5064.1] || member(u,compose(v,intersection(f5(w,x),y))) member(w,first(x)) equal(z,x) -> member(ordered_pair(f31(u,v,intersection(f5(w,x),y)),f30(u,v,intersection(f5(w,x),y))),second(z))*. % 299.97/300.42 41499[0:Res:4285.1,5024.1] || member(u,compose(v,intersection(f12(w,x),y))) member(w,flip_range_of(x)) equal(z,w) -> member(ordered_pair(f31(u,v,intersection(f12(w,x),y)),f30(u,v,intersection(f12(w,x),y))),first(z))*. % 299.97/300.42 41498[0:Res:4285.1,5022.1] || member(u,compose(v,intersection(f9(w,x),y))) member(w,rotate_right(x)) equal(z,w) -> member(ordered_pair(f31(u,v,intersection(f9(w,x),y)),f30(u,v,intersection(f9(w,x),y))),first(z))*. % 299.97/300.42 41497[0:Res:4285.1,5020.1] || member(u,compose(v,intersection(f6(w,x),y))) member(w,second(x)) equal(z,x) -> member(ordered_pair(f31(u,v,intersection(f6(w,x),y)),f30(u,v,intersection(f6(w,x),y))),first(z))*. % 299.97/300.42 41496[0:Res:4285.1,5019.1] || member(u,compose(v,intersection(f4(w,x),y))) member(w,first(x)) equal(z,x) -> member(ordered_pair(f31(u,v,intersection(f4(w,x),y)),f30(u,v,intersection(f4(w,x),y))),first(z))*. % 299.97/300.42 41639[0:Res:4361.1,5065.1] || member(u,compose(intersection(v,f7(w,x)),y)) member(w,second(x)) equal(z,x) -> member(ordered_pair(f29(u,intersection(v,f7(w,x)),y),f31(u,intersection(v,f7(w,x)),y)),second(z))*. % 299.97/300.42 41638[0:Res:4361.1,5064.1] || member(u,compose(intersection(v,f5(w,x)),y)) member(w,first(x)) equal(z,x) -> member(ordered_pair(f29(u,intersection(v,f5(w,x)),y),f31(u,intersection(v,f5(w,x)),y)),second(z))*. % 299.97/300.42 41637[0:Res:4361.1,5024.1] || member(u,compose(intersection(v,f12(w,x)),y)) member(w,flip_range_of(x)) equal(z,w) -> member(ordered_pair(f29(u,intersection(v,f12(w,x)),y),f31(u,intersection(v,f12(w,x)),y)),first(z))*. % 299.97/300.42 41636[0:Res:4361.1,5022.1] || member(u,compose(intersection(v,f9(w,x)),y)) member(w,rotate_right(x)) equal(z,w) -> member(ordered_pair(f29(u,intersection(v,f9(w,x)),y),f31(u,intersection(v,f9(w,x)),y)),first(z))*. % 299.97/300.42 41635[0:Res:4361.1,5020.1] || member(u,compose(intersection(v,f6(w,x)),y)) member(w,second(x)) equal(z,x) -> member(ordered_pair(f29(u,intersection(v,f6(w,x)),y),f31(u,intersection(v,f6(w,x)),y)),first(z))*. % 299.97/300.42 41634[0:Res:4361.1,5019.1] || member(u,compose(intersection(v,f4(w,x)),y)) member(w,first(x)) equal(z,x) -> member(ordered_pair(f29(u,intersection(v,f4(w,x)),y),f31(u,intersection(v,f4(w,x)),y)),first(z))*. % 299.97/300.42 41761[0:Res:4360.1,5065.1] || member(u,compose(intersection(f7(v,w),x),y)) member(v,second(w)) equal(z,w) -> member(ordered_pair(f29(u,intersection(f7(v,w),x),y),f31(u,intersection(f7(v,w),x),y)),second(z))*. % 299.97/300.42 41760[0:Res:4360.1,5064.1] || member(u,compose(intersection(f5(v,w),x),y)) member(v,first(w)) equal(z,w) -> member(ordered_pair(f29(u,intersection(f5(v,w),x),y),f31(u,intersection(f5(v,w),x),y)),second(z))*. % 299.97/300.42 41759[0:Res:4360.1,5024.1] || member(u,compose(intersection(f12(v,w),x),y)) member(v,flip_range_of(w)) equal(z,v) -> member(ordered_pair(f29(u,intersection(f12(v,w),x),y),f31(u,intersection(f12(v,w),x),y)),first(z))*. % 299.97/300.42 41758[0:Res:4360.1,5022.1] || member(u,compose(intersection(f9(v,w),x),y)) member(v,rotate_right(w)) equal(z,v) -> member(ordered_pair(f29(u,intersection(f9(v,w),x),y),f31(u,intersection(f9(v,w),x),y)),first(z))*. % 299.97/300.42 41757[0:Res:4360.1,5020.1] || member(u,compose(intersection(f6(v,w),x),y)) member(v,second(w)) equal(z,w) -> member(ordered_pair(f29(u,intersection(f6(v,w),x),y),f31(u,intersection(f6(v,w),x),y)),first(z))*. % 299.97/300.42 41756[0:Res:4360.1,5019.1] || member(u,compose(intersection(f4(v,w),x),y)) member(v,first(w)) equal(z,w) -> member(ordered_pair(f29(u,intersection(f4(v,w),x),y),f31(u,intersection(f4(v,w),x),y)),first(z))*. % 299.97/300.42 42075[3:Res:556.1,6212.0] || member(u,v) equal(first(u),w) -> disjoint(x,cross_product(converse(second(u)),y)) member(ordered_pair(second(first(f23(x,cross_product(converse(second(u)),y)))),first(first(f23(x,cross_product(converse(second(u)),y))))),apply(v,w))*. % 299.97/300.42 42071[3:Res:552.1,6212.0] || member(u,v) equal(first(u),w) -> subset(cross_product(converse(second(u)),x),y) member(ordered_pair(second(first(f17(cross_product(converse(second(u)),x),y))),first(first(f17(cross_product(converse(second(u)),x),y)))),apply(v,w))*. % 299.97/300.42 42070[3:Res:551.1,6212.0] || member(u,v) equal(first(u),w) -> disjoint(cross_product(converse(second(u)),x),y) member(ordered_pair(second(first(f23(cross_product(converse(second(u)),x),y))),first(first(f23(cross_product(converse(second(u)),x),y)))),apply(v,w))*. % 299.97/300.42 42038[3:Res:456.1,6212.0] || member(u,sigma(intersection(v,converse(second(w))))) member(w,x) equal(first(w),y) -> member(ordered_pair(second(f16(u,intersection(v,converse(second(w))))),first(f16(u,intersection(v,converse(second(w)))))),apply(x,y))*. % 299.97/300.42 42024[3:Res:543.1,6212.0] || member(u,v) equal(first(u),w) -> disjoint(x,cross_product(y,converse(second(u)))) member(ordered_pair(second(second(f23(x,cross_product(y,converse(second(u)))))),first(second(f23(x,cross_product(y,converse(second(u))))))),apply(v,w))*. % 299.97/300.42 42016[3:Res:539.1,6212.0] || member(u,v) equal(first(u),w) -> subset(cross_product(x,converse(second(u))),y) member(ordered_pair(second(second(f17(cross_product(x,converse(second(u))),y))),first(second(f17(cross_product(x,converse(second(u))),y)))),apply(v,w))*. % 299.97/300.42 42015[3:Res:538.1,6212.0] || member(u,v) equal(first(u),w) -> disjoint(cross_product(x,converse(second(u))),y) member(ordered_pair(second(second(f23(cross_product(x,converse(second(u))),y))),first(second(f23(cross_product(x,converse(second(u))),y)))),apply(v,w))*. % 299.97/300.42 42005[3:Res:455.1,6212.0] || member(u,sigma(intersection(converse(second(v)),w))) member(v,x) equal(first(v),y) -> member(ordered_pair(second(f16(u,intersection(converse(second(v)),w))),first(f16(u,intersection(converse(second(v)),w)))),apply(x,y))*. % 299.97/300.42 42378[0:Res:4279.1,314.0] || member(u,compose(v,cross_product(w,intersection(complement(x),complement(y))))) member(second(ordered_pair(f31(u,v,cross_product(w,intersection(complement(x),complement(y)))),f30(u,v,cross_product(w,intersection(complement(x),complement(y)))))),union(x,y))* -> . % 299.97/300.42 42489[0:Res:4278.1,314.0] || member(u,compose(v,cross_product(intersection(complement(w),complement(x)),y))) member(first(ordered_pair(f31(u,v,cross_product(intersection(complement(w),complement(x)),y)),f30(u,v,cross_product(intersection(complement(w),complement(x)),y)))),union(w,x))* -> . % 299.97/300.42 42636[0:Res:4354.1,314.0] || member(u,compose(cross_product(v,intersection(complement(w),complement(x))),y)) member(second(ordered_pair(f29(u,cross_product(v,intersection(complement(w),complement(x))),y),f31(u,cross_product(v,intersection(complement(w),complement(x))),y))),union(w,x))* -> . % 299.97/300.42 42778[0:Res:4353.1,314.0] || member(u,compose(cross_product(intersection(complement(v),complement(w)),x),y)) member(first(ordered_pair(f29(u,cross_product(intersection(complement(v),complement(w)),x),y),f31(u,cross_product(intersection(complement(v),complement(w)),x),y))),union(v,w))* -> . % 299.97/300.42 42997[3:Res:6209.3,1442.0] || member(u,domain_of(second(v))) member(v,non_ordered_pair(w,x)) equal(first(v),y) -> equal(f28(f8(u,second(v)),non_ordered_pair(w,x),y),x)** equal(f28(f8(u,second(v)),non_ordered_pair(w,x),y),w)**. % 299.97/300.42 42996[3:Res:6208.3,1442.0] || member(u,sigma(second(v))) member(v,non_ordered_pair(w,x)) equal(first(v),y) -> equal(f28(f16(u,second(v)),non_ordered_pair(w,x),y),x)** equal(f28(f16(u,second(v)),non_ordered_pair(w,x),y),w)**. % 299.97/300.42 42995[3:Res:6207.3,1442.0] || member(u,range_of(second(v))) member(v,non_ordered_pair(w,x)) equal(first(v),y) -> equal(f28(f27(u,second(v)),non_ordered_pair(w,x),y),x)** equal(f28(f27(u,second(v)),non_ordered_pair(w,x),y),w)**. % 299.97/300.42 43465[3:MRR:43404.0,6237.1] || member(ordered_pair(second(f1(u,v)),first(f1(u,v))),apply(w,x)) disjoint(converse(second(f28(ordered_pair(second(f1(u,v)),first(f1(u,v))),w,x))),v)* -> equal(u,v) member(f1(u,v),u). % 299.97/300.42 43466[3:MRR:43403.0,6237.1] || member(ordered_pair(second(f1(u,v)),first(f1(u,v))),apply(w,x)) disjoint(converse(second(f28(ordered_pair(second(f1(u,v)),first(f1(u,v))),w,x))),u)* -> equal(u,v) member(f1(u,v),v). % 299.97/300.42 43949[0:SpR:1432.2,372.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),v) equal(ordered_pair(singleton_set(f19(non_ordered_pair(u,v))),non_ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v)))),non_ordered_pair(singleton_set(singleton_set(f19(non_ordered_pair(u,v)))),u))**. % 299.97/300.42 43925[0:SpR:1432.1,372.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v))),u) equal(ordered_pair(singleton_set(f19(non_ordered_pair(u,v))),non_ordered_pair(f19(non_ordered_pair(u,v)),f21(non_ordered_pair(u,v)))),non_ordered_pair(singleton_set(singleton_set(f19(non_ordered_pair(u,v)))),v))**. % 299.97/300.42 44093[0:SpR:1433.2,372.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),v) equal(ordered_pair(singleton_set(f19(non_ordered_pair(u,v))),non_ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v)))),non_ordered_pair(singleton_set(singleton_set(f19(non_ordered_pair(u,v)))),u))**. % 299.97/300.42 44069[0:SpR:1433.1,372.0] || -> single_valued_set(non_ordered_pair(u,v)) equal(ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v))),u) equal(ordered_pair(singleton_set(f19(non_ordered_pair(u,v))),non_ordered_pair(f19(non_ordered_pair(u,v)),f20(non_ordered_pair(u,v)))),non_ordered_pair(singleton_set(singleton_set(f19(non_ordered_pair(u,v)))),v))**. % 299.97/300.42 47231[0:Res:107.1,1558.0] || member(u,range_of(image(non_ordered_pair(v,w),x))) -> equal(first(f22(f27(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f27(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),v)**. % 299.97/300.42 47229[0:Res:66.1,1558.0] || member(u,sigma(image(non_ordered_pair(v,w),x))) -> equal(first(f22(f16(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f16(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),v)**. % 299.97/300.42 47227[0:Res:38.1,1558.0] || member(u,domain_of(image(non_ordered_pair(v,w),x))) -> equal(first(f22(f8(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f8(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),v)**. % 299.97/300.42 55850[16:Rew:54986.0,48758.2] little_set(u) || subset(f25,converse(non_ordered_pair(v,w)))* -> equal(u,a) equal(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),w)* equal(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),v)*. % 299.97/300.42 58796[16:Rew:54986.0,51476.4] little_set(u) little_set(second(f28(v,w,u))) || member(v,apply(w,u)) member(f28(v,w,u),converse(f25))* -> equal(second(f28(v,w,u)),a) equal(f26(second(f28(v,w,u))),u). % 299.97/300.42 58797[16:Rew:54986.0,51597.0] || -> equal(intersection(u,apply(non_ordered_pair(v,w),x)),a) equal(f28(f24(intersection(u,apply(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x),w)** equal(f28(f24(intersection(u,apply(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x),v)**. % 299.97/300.42 58798[16:Rew:54986.0,51598.0] || -> equal(intersection(apply(non_ordered_pair(u,v),w),x),a) equal(f28(f24(intersection(apply(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w),v)** equal(f28(f24(intersection(apply(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w),u)**. % 299.97/300.42 58799[16:Rew:54986.0,51605.0] || -> equal(intersection(u,image(v,non_ordered_pair(w,x))),a) equal(f22(f24(intersection(u,image(v,non_ordered_pair(w,x)))),v,non_ordered_pair(w,x)),x)** equal(f22(f24(intersection(u,image(v,non_ordered_pair(w,x)))),v,non_ordered_pair(w,x)),w)**. % 299.97/300.42 58800[16:Rew:54986.0,51606.0] || -> equal(intersection(image(u,non_ordered_pair(v,w)),x),a) equal(f22(f24(intersection(image(u,non_ordered_pair(v,w)),x)),u,non_ordered_pair(v,w)),w)** equal(f22(f24(intersection(image(u,non_ordered_pair(v,w)),x)),u,non_ordered_pair(v,w)),v)**. % 299.97/300.42 64074[3:Res:1080.2,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || equal(second(ordered_pair(second(u),first(u))),non_ordered_pair(v,w))* member(first(ordered_pair(second(u),first(u))),x)* -> member(u,converse(cross_product(x,ordered_pair(v,w))))*. % 299.97/300.42 64305[0:Res:4628.1,5063.1] ordered_pair_predicate(u) || member(v,flip_range_of(cross_product(w,f3(u)))) equal(x,u) -> member(second(ordered_pair(f12(v,cross_product(w,f3(u))),ordered_pair(f14(v,cross_product(w,f3(u))),f13(v,cross_product(w,f3(u)))))),second(x))*. % 299.97/300.42 64304[0:Res:4628.1,5018.1] ordered_pair_predicate(u) || member(v,flip_range_of(cross_product(w,f2(u)))) equal(x,u) -> member(second(ordered_pair(f12(v,cross_product(w,f2(u))),ordered_pair(f14(v,cross_product(w,f2(u))),f13(v,cross_product(w,f2(u)))))),first(x))*. % 299.97/300.42 64276[0:Res:4628.1,547.0] || member(u,flip_range_of(cross_product(v,range_of(cross_product(w,x))))) -> member(second(ordered_pair(f12(u,cross_product(v,range_of(cross_product(w,x)))),ordered_pair(f14(u,cross_product(v,range_of(cross_product(w,x)))),f13(u,cross_product(v,range_of(cross_product(w,x))))))),x)*. % 299.97/300.42 64274[0:Res:4628.1,560.0] || member(u,flip_range_of(cross_product(v,domain_of(cross_product(w,x))))) -> member(second(ordered_pair(f12(u,cross_product(v,domain_of(cross_product(w,x)))),ordered_pair(f14(u,cross_product(v,domain_of(cross_product(w,x)))),f13(u,cross_product(v,domain_of(cross_product(w,x))))))),w)*. % 299.97/300.42 64412[0:Res:4627.1,5063.1] ordered_pair_predicate(u) || member(v,flip_range_of(cross_product(f3(u),w))) equal(x,u) -> member(first(ordered_pair(f12(v,cross_product(f3(u),w)),ordered_pair(f14(v,cross_product(f3(u),w)),f13(v,cross_product(f3(u),w))))),second(x))*. % 299.97/300.42 64411[0:Res:4627.1,5018.1] ordered_pair_predicate(u) || member(v,flip_range_of(cross_product(f2(u),w))) equal(x,u) -> member(first(ordered_pair(f12(v,cross_product(f2(u),w)),ordered_pair(f14(v,cross_product(f2(u),w)),f13(v,cross_product(f2(u),w))))),first(x))*. % 299.97/300.42 64383[0:Res:4627.1,547.0] || member(u,flip_range_of(cross_product(range_of(cross_product(v,w)),x))) -> member(first(ordered_pair(f12(u,cross_product(range_of(cross_product(v,w)),x)),ordered_pair(f14(u,cross_product(range_of(cross_product(v,w)),x)),f13(u,cross_product(range_of(cross_product(v,w)),x))))),w)*. % 299.97/300.42 64381[0:Res:4627.1,560.0] || member(u,flip_range_of(cross_product(domain_of(cross_product(v,w)),x))) -> member(first(ordered_pair(f12(u,cross_product(domain_of(cross_product(v,w)),x)),ordered_pair(f14(u,cross_product(domain_of(cross_product(v,w)),x)),f13(u,cross_product(domain_of(cross_product(v,w)),x))))),v)*. % 299.97/300.42 64561[0:Res:4776.1,5063.1] ordered_pair_predicate(u) || member(v,rotate_right(cross_product(w,f3(u)))) equal(x,u) -> member(second(ordered_pair(f10(v,cross_product(w,f3(u))),ordered_pair(f11(v,cross_product(w,f3(u))),f9(v,cross_product(w,f3(u)))))),second(x))*. % 299.97/300.42 64560[0:Res:4776.1,5018.1] ordered_pair_predicate(u) || member(v,rotate_right(cross_product(w,f2(u)))) equal(x,u) -> member(second(ordered_pair(f10(v,cross_product(w,f2(u))),ordered_pair(f11(v,cross_product(w,f2(u))),f9(v,cross_product(w,f2(u)))))),first(x))*. % 299.97/300.42 64532[0:Res:4776.1,547.0] || member(u,rotate_right(cross_product(v,range_of(cross_product(w,x))))) -> member(second(ordered_pair(f10(u,cross_product(v,range_of(cross_product(w,x)))),ordered_pair(f11(u,cross_product(v,range_of(cross_product(w,x)))),f9(u,cross_product(v,range_of(cross_product(w,x))))))),x)*. % 299.97/300.42 64530[0:Res:4776.1,560.0] || member(u,rotate_right(cross_product(v,domain_of(cross_product(w,x))))) -> member(second(ordered_pair(f10(u,cross_product(v,domain_of(cross_product(w,x)))),ordered_pair(f11(u,cross_product(v,domain_of(cross_product(w,x)))),f9(u,cross_product(v,domain_of(cross_product(w,x))))))),w)*. % 299.97/300.42 64671[0:Res:4775.1,5063.1] ordered_pair_predicate(u) || member(v,rotate_right(cross_product(f3(u),w))) equal(x,u) -> member(first(ordered_pair(f10(v,cross_product(f3(u),w)),ordered_pair(f11(v,cross_product(f3(u),w)),f9(v,cross_product(f3(u),w))))),second(x))*. % 299.97/300.42 64670[0:Res:4775.1,5018.1] ordered_pair_predicate(u) || member(v,rotate_right(cross_product(f2(u),w))) equal(x,u) -> member(first(ordered_pair(f10(v,cross_product(f2(u),w)),ordered_pair(f11(v,cross_product(f2(u),w)),f9(v,cross_product(f2(u),w))))),first(x))*. % 299.97/300.42 64642[0:Res:4775.1,547.0] || member(u,rotate_right(cross_product(range_of(cross_product(v,w)),x))) -> member(first(ordered_pair(f10(u,cross_product(range_of(cross_product(v,w)),x)),ordered_pair(f11(u,cross_product(range_of(cross_product(v,w)),x)),f9(u,cross_product(range_of(cross_product(v,w)),x))))),w)*. % 299.97/300.42 64640[0:Res:4775.1,560.0] || member(u,rotate_right(cross_product(domain_of(cross_product(v,w)),x))) -> member(first(ordered_pair(f10(u,cross_product(domain_of(cross_product(v,w)),x)),ordered_pair(f11(u,cross_product(domain_of(cross_product(v,w)),x)),f9(u,cross_product(domain_of(cross_product(v,w)),x))))),v)*. % 299.97/300.42 65023[3:SpL:39.1,6217.1] || member(u,domain_of(v)) member(f8(u,v),w) equal(u,x) -> equal(y,second(f8(u,v))) member(f1(y,second(f8(u,v))),y)* member(f1(y,second(f8(u,v))),apply(w,x))*. % 299.97/300.42 65204[3:SpL:39.1,6218.1] || member(u,domain_of(v)) member(f8(u,v),w) equal(u,x) -> equal(second(f8(u,v)),y) member(f1(second(f8(u,v)),y),y)* member(f1(second(f8(u,v)),y),apply(w,x))*. % 299.97/300.42 66105[0:SSi:66083.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f10(x,ordered_pair(v,w)),u),singleton_set(v))** member(x,rotate_right(ordered_pair(v,w))) -> equal(u,ordered_pair(f11(x,ordered_pair(v,w)),f9(x,ordered_pair(v,w))))*. % 299.97/300.42 66203[0:SSi:66179.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f12(x,ordered_pair(v,w)),u),singleton_set(v))** member(x,flip_range_of(ordered_pair(v,w))) -> equal(u,ordered_pair(f14(x,ordered_pair(v,w)),f13(x,ordered_pair(v,w))))*. % 299.97/300.42 67018[0:MRR:67002.0,5.0] || equal(f1(u,intersection(v,ordered_pair(w,x))),non_ordered_pair(w,x)) member(f1(u,intersection(v,ordered_pair(w,x))),v)* member(f1(u,intersection(v,ordered_pair(w,x))),u)* -> equal(u,intersection(v,ordered_pair(w,x))). % 299.97/300.42 67131[0:Res:5054.3,5162.4] little_set(u) little_set(v) little_set(w) || member(first(f27(x,y)),u)* member(x,range_of(y)) member(f27(x,y),z)* equal(x,w)* -> member(w,image(second(ordered_pair(v,u)),z))*. % 299.97/300.42 67130[0:Res:5009.3,5162.4] little_set(u) little_set(v) little_set(w) || member(first(f27(x,y)),v)* member(x,range_of(y)) member(f27(x,y),z)* equal(x,w)* -> member(w,image(first(ordered_pair(v,u)),z))*. % 299.97/300.42 67128[0:Res:1103.2,5162.4] little_set(first(f27(u,v))) little_set(w) || equal(first(f27(u,v)),singleton_set(x))* member(u,range_of(v)) member(f27(u,v),y)* equal(u,w)* -> member(w,image(ordered_pair(x,z),y))*. % 299.97/300.42 67121[0:Res:33.2,5162.4] little_set(u) || member(first(f27(v,w)),x)* member(first(f27(v,w)),y)* member(v,range_of(w)) member(f27(v,w),z)* equal(v,u)* -> member(u,image(intersection(y,x),z))*. % 299.97/300.42 67120[0:Res:120.1,5162.4] little_set(u) || member(first(f27(v,w)),apply(x,y)) member(v,range_of(w)) member(f27(v,w),z) equal(v,u) -> member(u,image(second(f28(first(f27(v,w)),x,y)),z))*. % 299.97/300.42 67209[0:Res:5054.3,5361.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(f10(x,y),ordered_pair(f11(x,y),f9(x,y))),u)* member(x,rotate_right(y)) equal(w,x)* -> member(w,rotate_right(second(ordered_pair(v,u))))*. % 299.97/300.42 67208[0:Res:5009.3,5361.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(f10(x,y),ordered_pair(f11(x,y),f9(x,y))),v)* member(x,rotate_right(y)) equal(w,x)* -> member(w,rotate_right(first(ordered_pair(v,u))))*. % 299.97/300.42 67292[0:Res:5054.3,5362.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(f13(x,y),ordered_pair(f14(x,y),f12(x,y))),u)* member(x,flip_range_of(y)) equal(w,x)* -> member(w,rotate_right(second(ordered_pair(v,u))))*. % 299.97/300.42 67291[0:Res:5009.3,5362.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(f13(x,y),ordered_pair(f14(x,y),f12(x,y))),v)* member(x,flip_range_of(y)) equal(w,x)* -> member(w,rotate_right(first(ordered_pair(v,u))))*. % 299.97/300.42 67357[0:Res:5054.3,6056.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(f9(x,y),ordered_pair(f11(x,y),f10(x,y))),u)* member(x,rotate_right(y)) equal(w,x)* -> member(w,flip_range_of(second(ordered_pair(v,u))))*. % 299.97/300.42 67356[0:Res:5009.3,6056.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(f9(x,y),ordered_pair(f11(x,y),f10(x,y))),v)* member(x,rotate_right(y)) equal(w,x)* -> member(w,flip_range_of(first(ordered_pair(v,u))))*. % 299.97/300.42 67421[0:Res:5054.3,6057.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(f12(x,y),ordered_pair(f14(x,y),f13(x,y))),u)* member(x,flip_range_of(y)) equal(w,x)* -> member(w,flip_range_of(second(ordered_pair(v,u))))*. % 299.97/300.42 67420[0:Res:5009.3,6057.3] little_set(u) little_set(v) little_set(w) || member(ordered_pair(f12(x,y),ordered_pair(f14(x,y),f13(x,y))),v)* member(x,flip_range_of(y)) equal(w,x)* -> member(w,flip_range_of(first(ordered_pair(v,u))))*. % 299.97/300.42 68422[16:MRR:68408.0,48.1] little_set(f26(f9(u,v))) single_valued_set(w) || subset(f25,w)* member(u,rotate_right(v)) member(u,w)* -> equal(f9(u,v),a) equal(ordered_pair(f10(u,v),f11(u,v)),f26(f9(u,v)))**. % 299.97/300.42 68678[16:MRR:68662.0,54.1] little_set(f26(f12(u,v))) single_valued_set(w) || subset(f25,w)* member(u,flip_range_of(v)) member(u,w)* -> equal(f12(u,v),a) equal(ordered_pair(f13(u,v),f14(u,v)),f26(f12(u,v)))**. % 299.97/300.42 69694[16:Rew:57402.0,69659.4,57402.0,69659.2,57402.0,69659.1] || closed(u,v) closed(union(w,a),x) maps(y,union(w,a),u) member(f32(y,union(w,a),x,u,v),intersection(complement(w),universal_set))* -> homomorphism(y,union(w,a),x,u,v). % 299.97/300.42 69695[16:Rew:57402.0,69658.4,57402.0,69658.2,57402.0,69658.1] || closed(u,v) closed(union(w,a),x) maps(y,union(w,a),u) member(f33(y,union(w,a),x,u,v),intersection(complement(w),universal_set))* -> homomorphism(y,union(w,a),x,u,v). % 299.97/300.42 69990[16:Rew:57520.0,69955.4,57520.0,69955.2,57520.0,69955.1] || closed(u,v) closed(union(a,w),x) maps(y,union(a,w),u) member(f32(y,union(a,w),x,u,v),intersection(universal_set,complement(w)))* -> homomorphism(y,union(a,w),x,u,v). % 299.97/300.42 69991[16:Rew:57520.0,69954.4,57520.0,69954.2,57520.0,69954.1] || closed(u,v) closed(union(a,w),x) maps(y,union(a,w),u) member(f33(y,union(a,w),x,u,v),intersection(universal_set,complement(w)))* -> homomorphism(y,union(a,w),x,u,v). % 299.97/300.42 70544[0:Res:5270.4,1444.0] || closed(u,v) closed(intersection(w,singleton_set(x)),y) maps(z,intersection(w,singleton_set(x)),u) -> homomorphism(z,intersection(w,singleton_set(x)),y,u,v) equal(f33(z,intersection(w,singleton_set(x)),y,u,v),x)**. % 299.97/300.42 70543[0:Res:5270.4,76.0] || closed(u,v) closed(intersection(w,powerset(x)),y) maps(z,intersection(w,powerset(x)),u) -> homomorphism(z,intersection(w,powerset(x)),y,u,v) subset(f33(z,intersection(w,powerset(x)),y,u,v),x)*. % 299.97/300.42 70523[0:Res:5270.4,70.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) subset(x,x1) -> homomorphism(z,intersection(w,x),y,u,v) member(f33(z,intersection(w,x),y,u,v),x1)*. % 299.97/300.42 70640[0:Res:5269.4,1444.0] || closed(u,v) closed(intersection(singleton_set(w),x),y) maps(z,intersection(singleton_set(w),x),u) -> homomorphism(z,intersection(singleton_set(w),x),y,u,v) equal(f33(z,intersection(singleton_set(w),x),y,u,v),w)**. % 299.97/300.42 70639[0:Res:5269.4,76.0] || closed(u,v) closed(intersection(powerset(w),x),y) maps(z,intersection(powerset(w),x),u) -> homomorphism(z,intersection(powerset(w),x),y,u,v) subset(f33(z,intersection(powerset(w),x),y,u,v),w)*. % 299.97/300.42 70619[0:Res:5269.4,70.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) subset(w,x1) -> homomorphism(z,intersection(w,x),y,u,v) member(f33(z,intersection(w,x),y,u,v),x1)*. % 299.97/300.42 70764[0:Res:5315.4,1444.0] || closed(u,v) closed(intersection(w,singleton_set(x)),y) maps(z,intersection(w,singleton_set(x)),u) -> homomorphism(z,intersection(w,singleton_set(x)),y,u,v) equal(f32(z,intersection(w,singleton_set(x)),y,u,v),x)**. % 299.97/300.42 70763[0:Res:5315.4,76.0] || closed(u,v) closed(intersection(w,powerset(x)),y) maps(z,intersection(w,powerset(x)),u) -> homomorphism(z,intersection(w,powerset(x)),y,u,v) subset(f32(z,intersection(w,powerset(x)),y,u,v),x)*. % 299.97/300.42 70743[0:Res:5315.4,70.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) subset(x,x1) -> homomorphism(z,intersection(w,x),y,u,v) member(f32(z,intersection(w,x),y,u,v),x1)*. % 299.97/300.42 70844[0:Res:5314.4,1444.0] || closed(u,v) closed(intersection(singleton_set(w),x),y) maps(z,intersection(singleton_set(w),x),u) -> homomorphism(z,intersection(singleton_set(w),x),y,u,v) equal(f32(z,intersection(singleton_set(w),x),y,u,v),w)**. % 299.97/300.42 70843[0:Res:5314.4,76.0] || closed(u,v) closed(intersection(powerset(w),x),y) maps(z,intersection(powerset(w),x),u) -> homomorphism(z,intersection(powerset(w),x),y,u,v) subset(f32(z,intersection(powerset(w),x),y,u,v),w)*. % 299.97/300.42 70823[0:Res:5314.4,70.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) subset(w,x1) -> homomorphism(z,intersection(w,x),y,u,v) member(f32(z,intersection(w,x),y,u,v),x1)*. % 299.97/300.42 71012[0:SSi:70993.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),singleton_set(y))* member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),z)* -> member(v,compose(z,ordered_pair(y,x1)))*. % 299.97/300.42 71083[0:SSi:71064.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),singleton_set(y))* member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),z)* -> member(v,compose(z,ordered_pair(y,x1)))*. % 299.97/300.42 71188[0:SSi:71171.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),singleton_set(z))* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(ordered_pair(z,x1)))*. % 299.97/300.42 71322[0:SSi:71301.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),singleton_set(z))* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(ordered_pair(z,x1)))*. % 299.97/300.42 71740[16:Res:56196.1,6233.0] || equal(second(f1(u,cross_product(v,ordered_pair(universal_set,w)))),a) member(first(f1(u,cross_product(v,ordered_pair(universal_set,w)))),v)* member(f1(u,cross_product(v,ordered_pair(universal_set,w))),u)* -> equal(u,cross_product(v,ordered_pair(universal_set,w))). % 299.97/300.42 72574[16:Res:56196.1,5365.4] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(ordered_pair(universal_set,y)))*. % 299.97/300.42 72585[0:SSi:72552.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(non_ordered_pair(z,y)))*. % 299.97/300.42 72586[0:SSi:72551.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(non_ordered_pair(y,z)))*. % 299.97/300.42 72989[16:Res:56196.1,5367.4] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(ordered_pair(universal_set,y)))*. % 299.97/300.42 73000[0:SSi:72967.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(non_ordered_pair(z,y)))*. % 299.97/300.42 73001[0:SSi:72966.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(non_ordered_pair(y,z)))*. % 299.97/300.42 73217[16:Res:56196.1,6060.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),a)** member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(ordered_pair(universal_set,y)))*. % 299.97/300.42 73231[0:SSi:73195.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(non_ordered_pair(z,y)))*. % 299.97/300.42 73232[0:SSi:73194.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),y)* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(non_ordered_pair(y,z)))*. % 299.97/300.42 73410[16:Res:56196.1,6062.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),a)** member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(ordered_pair(universal_set,y)))*. % 299.97/300.42 73424[0:SSi:73388.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(non_ordered_pair(z,y)))*. % 299.97/300.42 73425[0:SSi:73387.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),y)* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(non_ordered_pair(y,z)))*. % 299.97/300.42 73901[0:SoR:5234.3,90.1] little_set(u) little_set(v) little_set(w) function(cross_product(x,y)) || member(second(ordered_pair(w,u)),y)* member(first(ordered_pair(w,u)),x)* member(ordered_pair(w,v),cross_product(x,y))* -> equal(v,u)*. % 299.97/300.42 73986[0:SSi:73950.0,371.0] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(ordered_pair(u,f30(w,x,y)),x1)* member(v,compose(z,complement(x1)))*. % 299.97/300.42 82853[16:Res:82637.1,6082.4] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),a) member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(v,compose(z,set_b))*. % 299.97/300.42 83006[3:Res:82638.1,6082.4] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),a) member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(v,compose(z,set_a))*. % 299.97/300.42 83161[16:Res:82641.1,6082.4] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),a) member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(v,compose(z,infinity))*. % 299.97/300.42 88451[16:Res:57853.0,1442.0] || -> equal(complement(complement(apply(non_ordered_pair(u,v),w))),a) equal(f28(f24(complement(complement(apply(non_ordered_pair(u,v),w)))),non_ordered_pair(u,v),w),v)** equal(f28(f24(complement(complement(apply(non_ordered_pair(u,v),w)))),non_ordered_pair(u,v),w),u)**. % 299.97/300.42 88431[16:Res:57853.0,1443.0] || -> equal(complement(complement(image(u,non_ordered_pair(v,w)))),a) equal(f22(f24(complement(complement(image(u,non_ordered_pair(v,w))))),u,non_ordered_pair(v,w)),w)** equal(f22(f24(complement(complement(image(u,non_ordered_pair(v,w))))),u,non_ordered_pair(v,w)),v)**. % 299.97/300.42 89499[0:Res:4783.1,43745.1] || member(u,rotate_right(intersection(v,flip_range_of(complement(flip_range_of(w)))))) member(ordered_pair(f10(u,intersection(v,flip_range_of(complement(flip_range_of(w))))),ordered_pair(f11(u,intersection(v,flip_range_of(complement(flip_range_of(w))))),f9(u,intersection(v,flip_range_of(complement(flip_range_of(w))))))),w)* -> . % 299.97/300.42 89497[0:Res:4635.1,43745.1] || member(u,flip_range_of(intersection(v,flip_range_of(complement(flip_range_of(w)))))) member(ordered_pair(f12(u,intersection(v,flip_range_of(complement(flip_range_of(w))))),ordered_pair(f14(u,intersection(v,flip_range_of(complement(flip_range_of(w))))),f13(u,intersection(v,flip_range_of(complement(flip_range_of(w))))))),w)* -> . % 299.97/300.42 89487[0:Res:4782.1,43745.1] || member(u,rotate_right(intersection(flip_range_of(complement(flip_range_of(v))),w))) member(ordered_pair(f10(u,intersection(flip_range_of(complement(flip_range_of(v))),w)),ordered_pair(f11(u,intersection(flip_range_of(complement(flip_range_of(v))),w)),f9(u,intersection(flip_range_of(complement(flip_range_of(v))),w)))),v)* -> . % 299.97/300.42 89485[0:Res:4634.1,43745.1] || member(u,flip_range_of(intersection(flip_range_of(complement(flip_range_of(v))),w))) member(ordered_pair(f12(u,intersection(flip_range_of(complement(flip_range_of(v))),w)),ordered_pair(f14(u,intersection(flip_range_of(complement(flip_range_of(v))),w)),f13(u,intersection(flip_range_of(complement(flip_range_of(v))),w)))),v)* -> . % 299.97/300.42 89479[0:Res:3837.1,43745.1] || member(f1(non_ordered_pair(u,v),flip_range_of(complement(flip_range_of(w)))),w)* -> equal(non_ordered_pair(u,v),flip_range_of(complement(flip_range_of(w)))) equal(f1(non_ordered_pair(u,v),flip_range_of(complement(flip_range_of(w)))),v) equal(f1(non_ordered_pair(u,v),flip_range_of(complement(flip_range_of(w)))),u). % 299.97/300.42 89398[0:Res:3819.1,43745.1] || member(f1(flip_range_of(complement(flip_range_of(u))),non_ordered_pair(v,w)),u)* -> equal(flip_range_of(complement(flip_range_of(u))),non_ordered_pair(v,w)) equal(f1(flip_range_of(complement(flip_range_of(u))),non_ordered_pair(v,w)),w) equal(f1(flip_range_of(complement(flip_range_of(u))),non_ordered_pair(v,w)),v). % 299.97/300.42 92675[0:Res:4783.1,19261.0] || member(u,rotate_right(intersection(v,sigma(intersection(w,x))))) -> member(ordered_pair(f10(u,intersection(v,sigma(intersection(w,x)))),ordered_pair(f11(u,intersection(v,sigma(intersection(w,x)))),f9(u,intersection(v,sigma(intersection(w,x)))))),sigma(w))*. % 299.97/300.42 92673[0:Res:4635.1,19261.0] || member(u,flip_range_of(intersection(v,sigma(intersection(w,x))))) -> member(ordered_pair(f12(u,intersection(v,sigma(intersection(w,x)))),ordered_pair(f14(u,intersection(v,sigma(intersection(w,x)))),f13(u,intersection(v,sigma(intersection(w,x)))))),sigma(w))*. % 299.97/300.42 92663[0:Res:4782.1,19261.0] || member(u,rotate_right(intersection(sigma(intersection(v,w)),x))) -> member(ordered_pair(f10(u,intersection(sigma(intersection(v,w)),x)),ordered_pair(f11(u,intersection(sigma(intersection(v,w)),x)),f9(u,intersection(sigma(intersection(v,w)),x)))),sigma(v))*. % 299.97/300.42 92661[0:Res:4634.1,19261.0] || member(u,flip_range_of(intersection(sigma(intersection(v,w)),x))) -> member(ordered_pair(f12(u,intersection(sigma(intersection(v,w)),x)),ordered_pair(f14(u,intersection(sigma(intersection(v,w)),x)),f13(u,intersection(sigma(intersection(v,w)),x)))),sigma(v))*. % 299.97/300.42 92655[0:Res:3837.1,19261.0] || -> equal(non_ordered_pair(u,v),sigma(intersection(w,x))) equal(f1(non_ordered_pair(u,v),sigma(intersection(w,x))),v) equal(f1(non_ordered_pair(u,v),sigma(intersection(w,x))),u) member(f1(non_ordered_pair(u,v),sigma(intersection(w,x))),sigma(w))*. % 299.97/300.42 92574[0:Res:3819.1,19261.0] || -> equal(sigma(intersection(u,v)),non_ordered_pair(w,x)) equal(f1(sigma(intersection(u,v)),non_ordered_pair(w,x)),x) equal(f1(sigma(intersection(u,v)),non_ordered_pair(w,x)),w) member(f1(sigma(intersection(u,v)),non_ordered_pair(w,x)),sigma(u))*. % 299.97/300.42 92877[0:Res:4783.1,19263.0] || member(u,rotate_right(intersection(v,sigma(intersection(w,x))))) -> member(ordered_pair(f10(u,intersection(v,sigma(intersection(w,x)))),ordered_pair(f11(u,intersection(v,sigma(intersection(w,x)))),f9(u,intersection(v,sigma(intersection(w,x)))))),sigma(x))*. % 299.97/300.42 92875[0:Res:4635.1,19263.0] || member(u,flip_range_of(intersection(v,sigma(intersection(w,x))))) -> member(ordered_pair(f12(u,intersection(v,sigma(intersection(w,x)))),ordered_pair(f14(u,intersection(v,sigma(intersection(w,x)))),f13(u,intersection(v,sigma(intersection(w,x)))))),sigma(x))*. % 299.97/300.42 92865[0:Res:4782.1,19263.0] || member(u,rotate_right(intersection(sigma(intersection(v,w)),x))) -> member(ordered_pair(f10(u,intersection(sigma(intersection(v,w)),x)),ordered_pair(f11(u,intersection(sigma(intersection(v,w)),x)),f9(u,intersection(sigma(intersection(v,w)),x)))),sigma(w))*. % 299.97/300.42 92863[0:Res:4634.1,19263.0] || member(u,flip_range_of(intersection(sigma(intersection(v,w)),x))) -> member(ordered_pair(f12(u,intersection(sigma(intersection(v,w)),x)),ordered_pair(f14(u,intersection(sigma(intersection(v,w)),x)),f13(u,intersection(sigma(intersection(v,w)),x)))),sigma(w))*. % 299.97/300.42 92857[0:Res:3837.1,19263.0] || -> equal(non_ordered_pair(u,v),sigma(intersection(w,x))) equal(f1(non_ordered_pair(u,v),sigma(intersection(w,x))),v) equal(f1(non_ordered_pair(u,v),sigma(intersection(w,x))),u) member(f1(non_ordered_pair(u,v),sigma(intersection(w,x))),sigma(x))*. % 299.97/300.42 92776[0:Res:3819.1,19263.0] || -> equal(sigma(intersection(u,v)),non_ordered_pair(w,x)) equal(f1(sigma(intersection(u,v)),non_ordered_pair(w,x)),x) equal(f1(sigma(intersection(u,v)),non_ordered_pair(w,x)),w) member(f1(sigma(intersection(u,v)),non_ordered_pair(w,x)),sigma(v))*. % 299.97/300.42 93030[16:Res:4779.1,56181.0] || member(u,rotate_right(powerset(v))) disjoint(v,ordered_pair(f10(u,powerset(v)),ordered_pair(f11(u,powerset(v)),f9(u,powerset(v)))))* -> equal(ordered_pair(f10(u,powerset(v)),ordered_pair(f11(u,powerset(v)),f9(u,powerset(v)))),a). % 299.97/300.42 93029[16:Res:4631.1,56181.0] || member(u,flip_range_of(powerset(v))) disjoint(v,ordered_pair(f12(u,powerset(v)),ordered_pair(f14(u,powerset(v)),f13(u,powerset(v)))))* -> equal(ordered_pair(f12(u,powerset(v)),ordered_pair(f14(u,powerset(v)),f13(u,powerset(v)))),a). % 299.97/300.42 94247[16:Res:57719.1,1442.0] || -> equal(restrict(apply(non_ordered_pair(u,v),w),x),a) equal(f28(f24(restrict(apply(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w),v)** equal(f28(f24(restrict(apply(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w),u)**. % 299.97/300.42 94227[16:Res:57719.1,1443.0] || -> equal(restrict(image(u,non_ordered_pair(v,w)),x),a) equal(f22(f24(restrict(image(u,non_ordered_pair(v,w)),x)),u,non_ordered_pair(v,w)),w)** equal(f22(f24(restrict(image(u,non_ordered_pair(v,w)),x)),u,non_ordered_pair(v,w)),v)**. % 299.97/300.42 94845[16:Res:91681.1,4355.0] || equal(complement(compose(non_ordered_pair(u,v),w)),a) -> equal(ordered_pair(f29(infinity,non_ordered_pair(u,v),w),f31(infinity,non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(infinity,non_ordered_pair(u,v),w),f31(infinity,non_ordered_pair(u,v),w)),u)**. % 299.97/300.42 94844[16:Res:91681.1,4280.0] || equal(complement(compose(u,non_ordered_pair(v,w))),a) -> equal(ordered_pair(f31(infinity,u,non_ordered_pair(v,w)),f30(infinity,u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(infinity,u,non_ordered_pair(v,w)),f30(infinity,u,non_ordered_pair(v,w))),v)**. % 299.97/300.42 95373[16:Res:92031.1,4355.0] || equal(complement(compose(non_ordered_pair(u,v),w)),a) -> equal(ordered_pair(f29(a,non_ordered_pair(u,v),w),f31(a,non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(a,non_ordered_pair(u,v),w),f31(a,non_ordered_pair(u,v),w)),u)**. % 299.97/300.42 95372[16:Res:92031.1,4280.0] || equal(complement(compose(u,non_ordered_pair(v,w))),a) -> equal(ordered_pair(f31(a,u,non_ordered_pair(v,w)),f30(a,u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(a,u,non_ordered_pair(v,w)),f30(a,u,non_ordered_pair(v,w))),v)**. % 299.97/300.42 97122[3:MRR:97057.0,6177.1] little_set(u) || member(v,image(w,x)) member(f22(v,w,x),y) equal(v,u) -> member(u,image(converse(powerset(ordered_pair(second(first(f22(v,w,x))),first(first(f22(v,w,x)))))),y))*. % 299.97/300.42 97126[3:MRR:97056.0,6185.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(converse(powerset(ordered_pair(second(f32(y,w,x,u,v)),first(f32(y,w,x,u,v))))),w)* -> homomorphism(y,w,x,u,v). % 299.97/300.42 97127[3:MRR:97055.0,6184.4] || closed(u,v) closed(w,x) maps(y,w,u) disjoint(converse(powerset(ordered_pair(second(f33(y,w,x,u,v)),first(f33(y,w,x,u,v))))),w)* -> homomorphism(y,w,x,u,v). % 299.97/300.42 99330[3:Res:18201.1,6235.0] ordered_pair_predicate(second(f17(u,cross_product(v,converse(complement(w)))))) || member(first(f17(u,cross_product(v,converse(complement(w))))),v)* -> member(second(f17(u,cross_product(v,converse(complement(w))))),converse(w))* subset(u,cross_product(v,converse(complement(w)))). % 299.97/300.42 99542[0:SSi:99416.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),converse(y))* member(v,flip_range_of(converse(complement(y))))*. % 299.97/300.42 99543[0:SSi:99415.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),converse(y))* member(v,flip_range_of(converse(complement(y))))*. % 299.97/300.42 99544[3:SSi:99410.0,5742.0,371.0,3910.0,371.2,371.0,371.1] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),converse(y))* member(v,rotate_right(converse(complement(y))))*. % 299.97/300.42 99545[3:SSi:99409.0,5742.0,371.0,3910.0,371.2,371.0,371.1] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),converse(y))* member(v,rotate_right(converse(complement(y))))*. % 299.97/300.42 99641[3:Res:22366.2,6233.0] ordered_pair_predicate(u) || member(second(f1(v,cross_product(w,first(u)))),f2(u))* member(first(f1(v,cross_product(w,first(u)))),w)* member(f1(v,cross_product(w,first(u))),v)* -> equal(v,cross_product(w,first(u))). % 299.97/300.42 99835[3:Res:22612.2,6233.0] ordered_pair_predicate(u) || member(second(f1(v,cross_product(w,second(u)))),f3(u))* member(first(f1(v,cross_product(w,second(u)))),w)* member(f1(v,cross_product(w,second(u))),v)* -> equal(v,cross_product(w,second(u))). % 299.97/300.42 100432[16:Res:4357.1,56166.0] || member(u,compose(powerset(singleton_set(v)),w)) -> equal(ordered_pair(f29(u,powerset(singleton_set(v)),w),f31(u,powerset(singleton_set(v)),w)),a) equal(f24(ordered_pair(f29(u,powerset(singleton_set(v)),w),f31(u,powerset(singleton_set(v)),w))),v)**. % 299.97/300.42 100422[16:Res:4282.1,56166.0] || member(u,compose(v,powerset(singleton_set(w)))) -> equal(ordered_pair(f31(u,v,powerset(singleton_set(w))),f30(u,v,powerset(singleton_set(w)))),a) equal(f24(ordered_pair(f31(u,v,powerset(singleton_set(w))),f30(u,v,powerset(singleton_set(w))))),w)**. % 299.97/300.42 101912[0:Res:3813.2,1442.0] || disjoint(u,universal_set) -> equal(apply(non_ordered_pair(v,w),x),u) equal(f28(f1(apply(non_ordered_pair(v,w),x),u),non_ordered_pair(v,w),x),w)** equal(f28(f1(apply(non_ordered_pair(v,w),x),u),non_ordered_pair(v,w),x),v)**. % 299.97/300.42 101881[0:Res:3813.2,1443.0] || disjoint(u,universal_set) -> equal(image(v,non_ordered_pair(w,x)),u) equal(f22(f1(image(v,non_ordered_pair(w,x)),u),v,non_ordered_pair(w,x)),x)** equal(f22(f1(image(v,non_ordered_pair(w,x)),u),v,non_ordered_pair(w,x)),w)**. % 299.97/300.42 102045[0:Res:3831.2,1442.0] || disjoint(u,universal_set) -> equal(u,apply(non_ordered_pair(v,w),x)) equal(f28(f1(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),w)** equal(f28(f1(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),v)**. % 299.97/300.42 102015[0:Res:3831.2,1443.0] || disjoint(u,universal_set) -> equal(u,image(v,non_ordered_pair(w,x))) equal(f22(f1(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),x)** equal(f22(f1(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),w)**. % 299.97/300.42 102201[0:MRR:102178.0,13411.1] little_set(u) single_valued_set(v) || member(f23(cross_product(w,x),y),converse(v)) member(ordered_pair(second(f23(cross_product(w,x),y)),u),v)* -> equal(u,first(f23(cross_product(w,x),y))) disjoint(cross_product(w,x),y). % 299.97/300.42 102318[0:MRR:102295.0,13489.1] little_set(u) single_valued_set(v) || member(f23(w,cross_product(x,y)),converse(v)) member(ordered_pair(second(f23(w,cross_product(x,y))),u),v)* -> equal(u,first(f23(w,cross_product(x,y)))) disjoint(w,cross_product(x,y)). % 299.97/300.42 102858[0:MRR:102841.0,13693.1] little_set(u) single_valued_set(v) || member(f17(cross_product(w,x),y),converse(v)) member(ordered_pair(second(f17(cross_product(w,x),y)),u),v)* -> equal(u,first(f17(cross_product(w,x),y))) subset(cross_product(w,x),y). % 299.97/300.42 103684[0:Res:4279.1,16184.0] || member(u,compose(v,cross_product(w,domain_of(intersection(cross_product(x,y),z))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,domain_of(intersection(cross_product(x,y),z)))),f30(u,v,cross_product(w,domain_of(intersection(cross_product(x,y),z)))))),x)*. % 299.97/300.42 103677[0:Res:4278.1,16184.0] || member(u,compose(v,cross_product(domain_of(intersection(cross_product(w,x),y)),z))) -> member(first(ordered_pair(f31(u,v,cross_product(domain_of(intersection(cross_product(w,x),y)),z)),f30(u,v,cross_product(domain_of(intersection(cross_product(w,x),y)),z)))),w)*. % 299.97/300.42 103667[0:Res:4353.1,16184.0] || member(u,compose(cross_product(domain_of(intersection(cross_product(v,w),x)),y),z)) -> member(first(ordered_pair(f29(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y),z),f31(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y),z))),v)*. % 299.97/300.42 103605[0:Res:4354.1,16184.0] || member(u,compose(cross_product(v,domain_of(intersection(cross_product(w,x),y))),z)) -> member(second(ordered_pair(f29(u,cross_product(v,domain_of(intersection(cross_product(w,x),y))),z),f31(u,cross_product(v,domain_of(intersection(cross_product(w,x),y))),z))),w)*. % 299.97/300.42 103926[0:Res:4279.1,16416.0] || member(u,compose(v,cross_product(w,domain_of(intersection(x,cross_product(y,z)))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,domain_of(intersection(x,cross_product(y,z))))),f30(u,v,cross_product(w,domain_of(intersection(x,cross_product(y,z))))))),y)*. % 299.97/300.42 103919[0:Res:4278.1,16416.0] || member(u,compose(v,cross_product(domain_of(intersection(w,cross_product(x,y))),z))) -> member(first(ordered_pair(f31(u,v,cross_product(domain_of(intersection(w,cross_product(x,y))),z)),f30(u,v,cross_product(domain_of(intersection(w,cross_product(x,y))),z)))),x)*. % 299.97/300.42 103909[0:Res:4353.1,16416.0] || member(u,compose(cross_product(domain_of(intersection(v,cross_product(w,x))),y),z)) -> member(first(ordered_pair(f29(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y),z),f31(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y),z))),w)*. % 299.97/300.42 103847[0:Res:4354.1,16416.0] || member(u,compose(cross_product(v,domain_of(intersection(w,cross_product(x,y)))),z)) -> member(second(ordered_pair(f29(u,cross_product(v,domain_of(intersection(w,cross_product(x,y)))),z),f31(u,cross_product(v,domain_of(intersection(w,cross_product(x,y)))),z))),x)*. % 299.97/300.42 104171[0:Res:4279.1,17439.0] || member(u,compose(v,cross_product(w,range_of(intersection(cross_product(x,y),z))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,range_of(intersection(cross_product(x,y),z)))),f30(u,v,cross_product(w,range_of(intersection(cross_product(x,y),z)))))),y)*. % 299.97/300.42 104164[0:Res:4278.1,17439.0] || member(u,compose(v,cross_product(range_of(intersection(cross_product(w,x),y)),z))) -> member(first(ordered_pair(f31(u,v,cross_product(range_of(intersection(cross_product(w,x),y)),z)),f30(u,v,cross_product(range_of(intersection(cross_product(w,x),y)),z)))),x)*. % 299.97/300.42 104154[0:Res:4353.1,17439.0] || member(u,compose(cross_product(range_of(intersection(cross_product(v,w),x)),y),z)) -> member(first(ordered_pair(f29(u,cross_product(range_of(intersection(cross_product(v,w),x)),y),z),f31(u,cross_product(range_of(intersection(cross_product(v,w),x)),y),z))),w)*. % 299.97/300.42 104092[0:Res:4354.1,17439.0] || member(u,compose(cross_product(v,range_of(intersection(cross_product(w,x),y))),z)) -> member(second(ordered_pair(f29(u,cross_product(v,range_of(intersection(cross_product(w,x),y))),z),f31(u,cross_product(v,range_of(intersection(cross_product(w,x),y))),z))),x)*. % 299.97/300.42 104448[0:Res:4279.1,17546.0] || member(u,compose(v,cross_product(w,range_of(intersection(x,cross_product(y,z)))))) -> member(second(ordered_pair(f31(u,v,cross_product(w,range_of(intersection(x,cross_product(y,z))))),f30(u,v,cross_product(w,range_of(intersection(x,cross_product(y,z))))))),z)*. % 299.97/300.42 104441[0:Res:4278.1,17546.0] || member(u,compose(v,cross_product(range_of(intersection(w,cross_product(x,y))),z))) -> member(first(ordered_pair(f31(u,v,cross_product(range_of(intersection(w,cross_product(x,y))),z)),f30(u,v,cross_product(range_of(intersection(w,cross_product(x,y))),z)))),y)*. % 299.97/300.42 104431[0:Res:4353.1,17546.0] || member(u,compose(cross_product(range_of(intersection(v,cross_product(w,x))),y),z)) -> member(first(ordered_pair(f29(u,cross_product(range_of(intersection(v,cross_product(w,x))),y),z),f31(u,cross_product(range_of(intersection(v,cross_product(w,x))),y),z))),x)*. % 299.97/300.42 104369[0:Res:4354.1,17546.0] || member(u,compose(cross_product(v,range_of(intersection(w,cross_product(x,y)))),z)) -> member(second(ordered_pair(f29(u,cross_product(v,range_of(intersection(w,cross_product(x,y)))),z),f31(u,cross_product(v,range_of(intersection(w,cross_product(x,y)))),z))),y)*. % 299.97/300.42 104603[3:Res:18826.1,6235.0] little_set(second(f17(u,cross_product(v,union(w,x))))) || member(first(f17(u,cross_product(v,union(w,x)))),v)* -> member(second(f17(u,cross_product(v,union(w,x)))),complement(w))* subset(u,cross_product(v,union(w,x))). % 299.97/300.42 104810[0:SSi:104689.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),complement(y))* member(v,flip_range_of(union(y,z)))*. % 299.97/300.42 104811[0:SSi:104688.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),complement(y))* member(v,flip_range_of(union(y,z)))*. % 299.97/300.42 104812[0:SSi:104683.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),complement(y))* member(v,rotate_right(union(y,z)))*. % 299.97/300.42 104813[0:SSi:104682.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),complement(y))* member(v,rotate_right(union(y,z)))*. % 299.97/300.42 104947[3:Res:18827.1,6235.0] little_set(second(f17(u,cross_product(v,union(w,x))))) || member(first(f17(u,cross_product(v,union(w,x)))),v)* -> member(second(f17(u,cross_product(v,union(w,x)))),complement(x))* subset(u,cross_product(v,union(w,x))). % 299.97/300.42 105156[0:SSi:105033.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),complement(y))* member(v,flip_range_of(union(z,y)))*. % 299.97/300.42 105157[0:SSi:105032.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),complement(y))* member(v,flip_range_of(union(z,y)))*. % 299.97/300.42 105158[0:SSi:105027.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),complement(y))* member(v,rotate_right(union(z,y)))*. % 299.97/300.42 105159[0:SSi:105026.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),complement(y))* member(v,rotate_right(union(z,y)))*. % 299.97/300.42 7895[3:Res:142.3,6176.0] || closed(u,v) closed(converse(w),x) maps(y,converse(w),u) -> homomorphism(y,converse(w),x,u,v) ordered_pair_predicate(ordered_pair(second(f32(y,converse(w),x,u,v)),first(f32(y,converse(w),x,u,v))))*. % 299.97/300.42 7894[3:Res:143.3,6176.0] || closed(u,v) closed(converse(w),x) maps(y,converse(w),u) -> homomorphism(y,converse(w),x,u,v) ordered_pair_predicate(ordered_pair(second(f33(y,converse(w),x,u,v)),first(f33(y,converse(w),x,u,v))))*. % 299.97/300.42 28577[0:Res:1556.1,3811.0] || member(u,image(intersection(v,w),x)) -> equal(y,first(f22(u,intersection(v,w),x))) member(f1(y,first(f22(u,intersection(v,w),x))),y)* member(f1(y,first(f22(u,intersection(v,w),x))),sigma(w))*. % 299.97/300.42 28576[0:Res:1344.1,3811.0] || member(u,image(v,cross_product(w,x))) -> equal(y,first(f22(u,v,cross_product(w,x)))) member(f1(y,first(f22(u,v,cross_product(w,x)))),y)* member(f1(y,first(f22(u,v,cross_product(w,x)))),sigma(w))*. % 299.97/300.42 28574[0:Res:1555.1,3811.0] || member(u,image(intersection(v,w),x)) -> equal(y,first(f22(u,intersection(v,w),x))) member(f1(y,first(f22(u,intersection(v,w),x))),y)* member(f1(y,first(f22(u,intersection(v,w),x))),sigma(v))*. % 299.97/300.42 28533[0:Res:1280.1,3811.0] || member(u,apply(cross_product(v,w),x)) -> equal(y,second(f28(u,cross_product(v,w),x))) member(f1(y,second(f28(u,cross_product(v,w),x))),y)* member(f1(y,second(f28(u,cross_product(v,w),x))),sigma(w))*. % 299.97/300.42 28954[0:Res:1556.1,3829.0] || member(u,image(intersection(v,w),x)) -> equal(first(f22(u,intersection(v,w),x)),y) member(f1(first(f22(u,intersection(v,w),x)),y),y)* member(f1(first(f22(u,intersection(v,w),x)),y),sigma(w))*. % 299.97/300.42 28953[0:Res:1344.1,3829.0] || member(u,image(v,cross_product(w,x))) -> equal(first(f22(u,v,cross_product(w,x))),y) member(f1(first(f22(u,v,cross_product(w,x))),y),y)* member(f1(first(f22(u,v,cross_product(w,x))),y),sigma(w))*. % 299.97/300.42 28951[0:Res:1555.1,3829.0] || member(u,image(intersection(v,w),x)) -> equal(first(f22(u,intersection(v,w),x)),y) member(f1(first(f22(u,intersection(v,w),x)),y),y)* member(f1(first(f22(u,intersection(v,w),x)),y),sigma(v))*. % 299.97/300.42 28910[0:Res:1280.1,3829.0] || member(u,apply(cross_product(v,w),x)) -> equal(second(f28(u,cross_product(v,w),x)),y) member(f1(second(f28(u,cross_product(v,w),x)),y),y)* member(f1(second(f28(u,cross_product(v,w),x)),y),sigma(w))*. % 299.97/300.42 31415[0:Res:3824.2,1014.0] || -> equal(u,intersection(converse(cross_product(v,w)),x)) member(f1(u,intersection(converse(cross_product(v,w)),x)),u) member(first(ordered_pair(second(f1(u,intersection(converse(cross_product(v,w)),x))),first(f1(u,intersection(converse(cross_product(v,w)),x))))),v)*. % 299.97/300.42 31414[0:Res:3824.2,1015.0] || -> equal(u,intersection(converse(cross_product(v,w)),x)) member(f1(u,intersection(converse(cross_product(v,w)),x)),u) member(second(ordered_pair(second(f1(u,intersection(converse(cross_product(v,w)),x))),first(f1(u,intersection(converse(cross_product(v,w)),x))))),w)*. % 299.97/300.42 31357[0:Res:3824.1,1014.0] || -> equal(converse(cross_product(u,v)),intersection(w,x)) member(f1(converse(cross_product(u,v)),intersection(w,x)),w) member(first(ordered_pair(second(f1(converse(cross_product(u,v)),intersection(w,x))),first(f1(converse(cross_product(u,v)),intersection(w,x))))),u)*. % 299.97/300.42 31356[0:Res:3824.1,1015.0] || -> equal(converse(cross_product(u,v)),intersection(w,x)) member(f1(converse(cross_product(u,v)),intersection(w,x)),w) member(second(ordered_pair(second(f1(converse(cross_product(u,v)),intersection(w,x))),first(f1(converse(cross_product(u,v)),intersection(w,x))))),v)*. % 299.97/300.42 31625[0:Res:3825.2,1014.0] || -> equal(u,intersection(v,converse(cross_product(w,x)))) member(f1(u,intersection(v,converse(cross_product(w,x)))),u) member(first(ordered_pair(second(f1(u,intersection(v,converse(cross_product(w,x))))),first(f1(u,intersection(v,converse(cross_product(w,x))))))),w)*. % 299.97/300.42 31624[0:Res:3825.2,1015.0] || -> equal(u,intersection(v,converse(cross_product(w,x)))) member(f1(u,intersection(v,converse(cross_product(w,x)))),u) member(second(ordered_pair(second(f1(u,intersection(v,converse(cross_product(w,x))))),first(f1(u,intersection(v,converse(cross_product(w,x))))))),x)*. % 299.97/300.42 31567[0:Res:3825.1,1014.0] || -> equal(converse(cross_product(u,v)),intersection(w,x)) member(f1(converse(cross_product(u,v)),intersection(w,x)),x) member(first(ordered_pair(second(f1(converse(cross_product(u,v)),intersection(w,x))),first(f1(converse(cross_product(u,v)),intersection(w,x))))),u)*. % 299.97/300.42 31566[0:Res:3825.1,1015.0] || -> equal(converse(cross_product(u,v)),intersection(w,x)) member(f1(converse(cross_product(u,v)),intersection(w,x)),x) member(second(ordered_pair(second(f1(converse(cross_product(u,v)),intersection(w,x))),first(f1(converse(cross_product(u,v)),intersection(w,x))))),v)*. % 299.97/300.42 31808[0:Res:3842.2,1014.0] || -> equal(intersection(converse(cross_product(u,v)),w),x) member(f1(intersection(converse(cross_product(u,v)),w),x),x) member(first(ordered_pair(second(f1(intersection(converse(cross_product(u,v)),w),x)),first(f1(intersection(converse(cross_product(u,v)),w),x)))),u)*. % 299.97/300.42 31807[0:Res:3842.2,1015.0] || -> equal(intersection(converse(cross_product(u,v)),w),x) member(f1(intersection(converse(cross_product(u,v)),w),x),x) member(second(ordered_pair(second(f1(intersection(converse(cross_product(u,v)),w),x)),first(f1(intersection(converse(cross_product(u,v)),w),x)))),v)*. % 299.97/300.42 31750[0:Res:3842.1,1014.0] || -> equal(intersection(u,v),converse(cross_product(w,x))) member(f1(intersection(u,v),converse(cross_product(w,x))),u) member(first(ordered_pair(second(f1(intersection(u,v),converse(cross_product(w,x)))),first(f1(intersection(u,v),converse(cross_product(w,x)))))),w)*. % 299.97/300.42 31749[0:Res:3842.1,1015.0] || -> equal(intersection(u,v),converse(cross_product(w,x))) member(f1(intersection(u,v),converse(cross_product(w,x))),u) member(second(ordered_pair(second(f1(intersection(u,v),converse(cross_product(w,x)))),first(f1(intersection(u,v),converse(cross_product(w,x)))))),x)*. % 299.97/300.42 31989[0:Res:3843.2,1014.0] || -> equal(intersection(u,converse(cross_product(v,w))),x) member(f1(intersection(u,converse(cross_product(v,w))),x),x) member(first(ordered_pair(second(f1(intersection(u,converse(cross_product(v,w))),x)),first(f1(intersection(u,converse(cross_product(v,w))),x)))),v)*. % 299.97/300.42 31988[0:Res:3843.2,1015.0] || -> equal(intersection(u,converse(cross_product(v,w))),x) member(f1(intersection(u,converse(cross_product(v,w))),x),x) member(second(ordered_pair(second(f1(intersection(u,converse(cross_product(v,w))),x)),first(f1(intersection(u,converse(cross_product(v,w))),x)))),w)*. % 299.97/300.42 31931[0:Res:3843.1,1014.0] || -> equal(intersection(u,v),converse(cross_product(w,x))) member(f1(intersection(u,v),converse(cross_product(w,x))),v) member(first(ordered_pair(second(f1(intersection(u,v),converse(cross_product(w,x)))),first(f1(intersection(u,v),converse(cross_product(w,x)))))),w)*. % 299.97/300.42 31930[0:Res:3843.1,1015.0] || -> equal(intersection(u,v),converse(cross_product(w,x))) member(f1(intersection(u,v),converse(cross_product(w,x))),v) member(second(ordered_pair(second(f1(intersection(u,v),converse(cross_product(w,x)))),first(f1(intersection(u,v),converse(cross_product(w,x)))))),x)*. % 299.97/300.42 32751[0:Res:3836.1,1020.0] || -> equal(cross_product(u,v),converse(intersection(w,x))) member(second(f1(cross_product(u,v),converse(intersection(w,x)))),v) member(ordered_pair(second(f1(cross_product(u,v),converse(intersection(w,x)))),first(f1(cross_product(u,v),converse(intersection(w,x))))),w)*. % 299.97/300.42 32750[0:Res:3836.1,1021.0] || -> equal(cross_product(u,v),converse(intersection(w,x))) member(second(f1(cross_product(u,v),converse(intersection(w,x)))),v) member(ordered_pair(second(f1(cross_product(u,v),converse(intersection(w,x)))),first(f1(cross_product(u,v),converse(intersection(w,x))))),x)*. % 299.97/300.42 32916[0:Res:3835.1,1020.0] || -> equal(cross_product(u,v),converse(intersection(w,x))) member(first(f1(cross_product(u,v),converse(intersection(w,x)))),u) member(ordered_pair(second(f1(cross_product(u,v),converse(intersection(w,x)))),first(f1(cross_product(u,v),converse(intersection(w,x))))),w)*. % 299.97/300.42 32915[0:Res:3835.1,1021.0] || -> equal(cross_product(u,v),converse(intersection(w,x))) member(first(f1(cross_product(u,v),converse(intersection(w,x)))),u) member(ordered_pair(second(f1(cross_product(u,v),converse(intersection(w,x)))),first(f1(cross_product(u,v),converse(intersection(w,x))))),x)*. % 299.97/300.42 33087[0:Res:3818.1,1020.0] || -> equal(converse(intersection(u,v)),cross_product(w,x)) member(second(f1(converse(intersection(u,v)),cross_product(w,x))),x) member(ordered_pair(second(f1(converse(intersection(u,v)),cross_product(w,x))),first(f1(converse(intersection(u,v)),cross_product(w,x)))),u)*. % 299.97/300.42 33086[0:Res:3818.1,1021.0] || -> equal(converse(intersection(u,v)),cross_product(w,x)) member(second(f1(converse(intersection(u,v)),cross_product(w,x))),x) member(ordered_pair(second(f1(converse(intersection(u,v)),cross_product(w,x))),first(f1(converse(intersection(u,v)),cross_product(w,x)))),v)*. % 299.97/300.42 33253[0:Res:3817.1,1020.0] || -> equal(converse(intersection(u,v)),cross_product(w,x)) member(first(f1(converse(intersection(u,v)),cross_product(w,x))),w) member(ordered_pair(second(f1(converse(intersection(u,v)),cross_product(w,x))),first(f1(converse(intersection(u,v)),cross_product(w,x)))),u)*. % 299.97/300.42 33252[0:Res:3817.1,1021.0] || -> equal(converse(intersection(u,v)),cross_product(w,x)) member(first(f1(converse(intersection(u,v)),cross_product(w,x))),w) member(ordered_pair(second(f1(converse(intersection(u,v)),cross_product(w,x))),first(f1(converse(intersection(u,v)),cross_product(w,x)))),v)*. % 299.97/300.42 33559[0:Res:100.1,1441.0] || -> disjoint(u,converse(non_ordered_pair(v,w))) equal(ordered_pair(second(f23(u,converse(non_ordered_pair(v,w)))),first(f23(u,converse(non_ordered_pair(v,w))))),w)** equal(ordered_pair(second(f23(u,converse(non_ordered_pair(v,w)))),first(f23(u,converse(non_ordered_pair(v,w))))),v)**. % 299.97/300.42 33530[0:Res:99.1,1441.0] || -> disjoint(converse(non_ordered_pair(u,v)),w) equal(ordered_pair(second(f23(converse(non_ordered_pair(u,v)),w)),first(f23(converse(non_ordered_pair(u,v)),w))),v)** equal(ordered_pair(second(f23(converse(non_ordered_pair(u,v)),w)),first(f23(converse(non_ordered_pair(u,v)),w))),u)**. % 299.97/300.42 33528[0:Res:71.1,1441.0] || -> subset(converse(non_ordered_pair(u,v)),w) equal(ordered_pair(second(f17(converse(non_ordered_pair(u,v)),w)),first(f17(converse(non_ordered_pair(u,v)),w))),v)** equal(ordered_pair(second(f17(converse(non_ordered_pair(u,v)),w)),first(f17(converse(non_ordered_pair(u,v)),w))),u)**. % 299.97/300.42 34344[0:Res:557.1,1437.0] || member(u,range_of(cross_product(range_of(non_ordered_pair(v,w)),x))) -> equal(f27(first(f27(u,cross_product(range_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f27(first(f27(u,cross_product(range_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 299.97/300.42 34343[0:Res:558.1,1437.0] || member(u,sigma(cross_product(range_of(non_ordered_pair(v,w)),x))) -> equal(f27(first(f16(u,cross_product(range_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f27(first(f16(u,cross_product(range_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 299.97/300.42 34298[0:Res:545.1,1437.0] || member(u,sigma(cross_product(v,range_of(non_ordered_pair(w,x))))) -> equal(f27(second(f16(u,cross_product(v,range_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f27(second(f16(u,cross_product(v,range_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34297[0:Res:546.1,1437.0] || member(u,domain_of(cross_product(v,range_of(non_ordered_pair(w,x))))) -> equal(f27(second(f8(u,cross_product(v,range_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f27(second(f8(u,cross_product(v,range_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34516[0:Res:557.1,1438.0] || member(u,range_of(cross_product(sigma(non_ordered_pair(v,w)),x))) -> equal(f16(first(f27(u,cross_product(sigma(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f16(first(f27(u,cross_product(sigma(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 299.97/300.42 34515[0:Res:558.1,1438.0] || member(u,sigma(cross_product(sigma(non_ordered_pair(v,w)),x))) -> equal(f16(first(f16(u,cross_product(sigma(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f16(first(f16(u,cross_product(sigma(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 299.97/300.42 34470[0:Res:545.1,1438.0] || member(u,sigma(cross_product(v,sigma(non_ordered_pair(w,x))))) -> equal(f16(second(f16(u,cross_product(v,sigma(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f16(second(f16(u,cross_product(v,sigma(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34469[0:Res:546.1,1438.0] || member(u,domain_of(cross_product(v,sigma(non_ordered_pair(w,x))))) -> equal(f16(second(f8(u,cross_product(v,sigma(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f16(second(f8(u,cross_product(v,sigma(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34681[0:Res:557.1,1439.0] || member(u,range_of(cross_product(domain_of(non_ordered_pair(v,w)),x))) -> equal(f8(first(f27(u,cross_product(domain_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f8(first(f27(u,cross_product(domain_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 299.97/300.42 34680[0:Res:558.1,1439.0] || member(u,sigma(cross_product(domain_of(non_ordered_pair(v,w)),x))) -> equal(f8(first(f16(u,cross_product(domain_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f8(first(f16(u,cross_product(domain_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 299.97/300.42 34635[0:Res:545.1,1439.0] || member(u,sigma(cross_product(v,domain_of(non_ordered_pair(w,x))))) -> equal(f8(second(f16(u,cross_product(v,domain_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f8(second(f16(u,cross_product(v,domain_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34634[0:Res:546.1,1439.0] || member(u,domain_of(cross_product(v,domain_of(non_ordered_pair(w,x))))) -> equal(f8(second(f8(u,cross_product(v,domain_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f8(second(f8(u,cross_product(v,domain_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 299.97/300.42 35114[0:Res:3817.2,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(y,cross_product(f29(u,v,w),z)) member(f1(y,cross_product(f29(u,v,w),z)),y)* member(first(f1(y,cross_product(f29(u,v,w),z))),first(x))*. % 299.97/300.42 35108[0:Res:3835.2,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(f29(u,v,w),y),z) member(f1(cross_product(f29(u,v,w),y),z),z)* member(first(f1(cross_product(f29(u,v,w),y),z)),first(x))*. % 299.97/300.42 35085[0:Res:3836.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(y,z),f29(u,v,w)) member(second(f1(cross_product(y,z),f29(u,v,w))),z)* member(f1(cross_product(y,z),f29(u,v,w)),first(x))*. % 299.97/300.42 35084[0:Res:3835.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(y,z),f29(u,v,w)) member(first(f1(cross_product(y,z),f29(u,v,w))),y)* member(f1(cross_product(y,z),f29(u,v,w)),first(x))*. % 299.97/300.42 35068[0:Res:3818.2,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(y,cross_product(z,f29(u,v,w))) member(f1(y,cross_product(z,f29(u,v,w))),y)* member(second(f1(y,cross_product(z,f29(u,v,w)))),first(x))*. % 299.97/300.42 35058[0:Res:3836.2,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(y,f29(u,v,w)),z) member(f1(cross_product(y,f29(u,v,w)),z),z)* member(second(f1(cross_product(y,f29(u,v,w)),z)),first(x))*. % 299.97/300.42 35015[0:Res:3818.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),cross_product(y,z)) member(second(f1(f29(u,v,w),cross_product(y,z))),z)* member(f1(f29(u,v,w),cross_product(y,z)),first(x))*. % 299.97/300.42 35014[0:Res:3817.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),cross_product(y,z)) member(first(f1(f29(u,v,w),cross_product(y,z))),y)* member(f1(f29(u,v,w),cross_product(y,z)),first(x))*. % 299.97/300.42 35284[0:Res:3817.2,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(y,cross_product(f30(u,v,w),z)) member(f1(y,cross_product(f30(u,v,w),z)),y)* member(first(f1(y,cross_product(f30(u,v,w),z))),second(x))*. % 299.97/300.42 35278[0:Res:3835.2,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(f30(u,v,w),y),z) member(f1(cross_product(f30(u,v,w),y),z),z)* member(first(f1(cross_product(f30(u,v,w),y),z)),second(x))*. % 299.97/300.42 35255[0:Res:3836.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(y,z),f30(u,v,w)) member(second(f1(cross_product(y,z),f30(u,v,w))),z)* member(f1(cross_product(y,z),f30(u,v,w)),second(x))*. % 299.97/300.42 35254[0:Res:3835.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(y,z),f30(u,v,w)) member(first(f1(cross_product(y,z),f30(u,v,w))),y)* member(f1(cross_product(y,z),f30(u,v,w)),second(x))*. % 299.97/300.42 35238[0:Res:3818.2,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(y,cross_product(z,f30(u,v,w))) member(f1(y,cross_product(z,f30(u,v,w))),y)* member(second(f1(y,cross_product(z,f30(u,v,w)))),second(x))*. % 299.97/300.42 35228[0:Res:3836.2,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(cross_product(y,f30(u,v,w)),z) member(f1(cross_product(y,f30(u,v,w)),z),z)* member(second(f1(cross_product(y,f30(u,v,w)),z)),second(x))*. % 299.97/300.42 35185[0:Res:3818.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),cross_product(y,z)) member(second(f1(f30(u,v,w),cross_product(y,z))),z)* member(f1(f30(u,v,w),cross_product(y,z)),second(x))*. % 299.97/300.42 35184[0:Res:3817.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),cross_product(y,z)) member(first(f1(f30(u,v,w),cross_product(y,z))),y)* member(f1(f30(u,v,w),cross_product(y,z)),second(x))*. % 299.97/300.42 36597[0:Res:4622.2,1421.0] || member(u,flip_range_of(v)) subset(v,ordered_pair(w,x))* -> equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x))* equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),singleton_set(w)). % 299.97/300.42 36565[0:Res:4622.2,1014.0] || member(u,flip_range_of(v)) subset(v,converse(cross_product(w,x)))* -> member(first(ordered_pair(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))))),w)*. % 299.97/300.42 36564[0:Res:4622.2,1015.0] || member(u,flip_range_of(v)) subset(v,converse(cross_product(w,x)))* -> member(second(ordered_pair(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))))),x)*. % 299.97/300.42 37025[0:Res:4770.2,1421.0] || member(u,rotate_right(v)) subset(v,ordered_pair(w,x))* -> equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x))* equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),singleton_set(w)). % 299.97/300.42 36993[0:Res:4770.2,1014.0] || member(u,rotate_right(v)) subset(v,converse(cross_product(w,x)))* -> member(first(ordered_pair(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))))),w)*. % 299.97/300.42 36992[0:Res:4770.2,1015.0] || member(u,rotate_right(v)) subset(v,converse(cross_product(w,x)))* -> member(second(ordered_pair(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))))),x)*. % 299.97/300.42 38909[3:Res:6207.3,3811.0] || member(u,range_of(second(v))) member(v,w) equal(first(v),x) -> equal(y,f27(u,second(v))) member(f1(y,f27(u,second(v))),y)* member(f1(y,f27(u,second(v))),sigma(apply(w,x)))*. % 299.97/300.42 38908[3:Res:6207.3,3829.0] || member(u,range_of(second(v))) member(v,w) equal(first(v),x) -> equal(f27(u,second(v)),y) member(f1(f27(u,second(v)),y),y)* member(f1(f27(u,second(v)),y),sigma(apply(w,x)))*. % 299.97/300.42 39004[3:Res:6208.3,3811.0] || member(u,sigma(second(v))) member(v,w) equal(first(v),x) -> equal(y,f16(u,second(v))) member(f1(y,f16(u,second(v))),y)* member(f1(y,f16(u,second(v))),sigma(apply(w,x)))*. % 299.97/300.42 39003[3:Res:6208.3,3829.0] || member(u,sigma(second(v))) member(v,w) equal(first(v),x) -> equal(f16(u,second(v)),y) member(f1(f16(u,second(v)),y),y)* member(f1(f16(u,second(v)),y),sigma(apply(w,x)))*. % 299.97/300.42 39079[3:Res:6209.3,3811.0] || member(u,domain_of(second(v))) member(v,w) equal(first(v),x) -> equal(y,f8(u,second(v))) member(f1(y,f8(u,second(v))),y)* member(f1(y,f8(u,second(v))),sigma(apply(w,x)))*. % 299.97/300.42 39078[3:Res:6209.3,3829.0] || member(u,domain_of(second(v))) member(v,w) equal(first(v),x) -> equal(f8(u,second(v)),y) member(f1(f8(u,second(v)),y),y)* member(f1(f8(u,second(v)),y),sigma(apply(w,x)))*. % 299.97/300.42 40281[0:Res:1549.1,5068.1] || member(u,image(cross_product(ordered_pair(f10(v,w),f11(v,w)),x),y)) member(v,rotate_right(w)) equal(z,v) -> member(first(first(f22(u,cross_product(ordered_pair(f10(v,w),f11(v,w)),x),y))),second(z))*. % 299.97/300.42 40233[0:Res:1550.1,5068.1] || member(u,image(cross_product(v,ordered_pair(f10(w,x),f11(w,x))),y)) member(w,rotate_right(x)) equal(z,w) -> member(second(first(f22(u,cross_product(v,ordered_pair(f10(w,x),f11(w,x))),y))),second(z))*. % 299.97/300.42 40461[0:Res:1549.1,5070.1] || member(u,image(cross_product(ordered_pair(f13(v,w),f14(v,w)),x),y)) member(v,flip_range_of(w)) equal(z,v) -> member(first(first(f22(u,cross_product(ordered_pair(f13(v,w),f14(v,w)),x),y))),second(z))*. % 299.97/300.42 40413[0:Res:1550.1,5070.1] || member(u,image(cross_product(v,ordered_pair(f13(w,x),f14(w,x))),y)) member(w,flip_range_of(x)) equal(z,w) -> member(second(first(f22(u,cross_product(v,ordered_pair(f13(w,x),f14(w,x))),y))),second(z))*. % 299.97/300.42 40541[3:Res:1103.2,6235.0] little_set(second(f17(u,cross_product(v,ordered_pair(w,x))))) || equal(second(f17(u,cross_product(v,ordered_pair(w,x)))),singleton_set(w)) member(first(f17(u,cross_product(v,ordered_pair(w,x)))),v)* -> subset(u,cross_product(v,ordered_pair(w,x))). % 299.97/300.42 40536[3:Res:33.2,6235.0] || member(second(f17(u,cross_product(v,intersection(w,x)))),x)* member(second(f17(u,cross_product(v,intersection(w,x)))),w)* member(first(f17(u,cross_product(v,intersection(w,x)))),v)* -> subset(u,cross_product(v,intersection(w,x))). % 299.97/300.42 42392[0:Res:4279.1,5065.1] || member(u,compose(v,cross_product(w,f7(x,y)))) member(x,second(y)) equal(z,y) -> member(second(ordered_pair(f31(u,v,cross_product(w,f7(x,y))),f30(u,v,cross_product(w,f7(x,y))))),second(z))*. % 299.97/300.42 42391[0:Res:4279.1,5064.1] || member(u,compose(v,cross_product(w,f5(x,y)))) member(x,first(y)) equal(z,y) -> member(second(ordered_pair(f31(u,v,cross_product(w,f5(x,y))),f30(u,v,cross_product(w,f5(x,y))))),second(z))*. % 299.97/300.42 42390[0:Res:4279.1,5024.1] || member(u,compose(v,cross_product(w,f12(x,y)))) member(x,flip_range_of(y)) equal(z,x) -> member(second(ordered_pair(f31(u,v,cross_product(w,f12(x,y))),f30(u,v,cross_product(w,f12(x,y))))),first(z))*. % 299.97/300.42 42389[0:Res:4279.1,5022.1] || member(u,compose(v,cross_product(w,f9(x,y)))) member(x,rotate_right(y)) equal(z,x) -> member(second(ordered_pair(f31(u,v,cross_product(w,f9(x,y))),f30(u,v,cross_product(w,f9(x,y))))),first(z))*. % 299.97/300.42 42388[0:Res:4279.1,5020.1] || member(u,compose(v,cross_product(w,f6(x,y)))) member(x,second(y)) equal(z,y) -> member(second(ordered_pair(f31(u,v,cross_product(w,f6(x,y))),f30(u,v,cross_product(w,f6(x,y))))),first(z))*. % 299.97/300.42 42387[0:Res:4279.1,5019.1] || member(u,compose(v,cross_product(w,f4(x,y)))) member(x,first(y)) equal(z,y) -> member(second(ordered_pair(f31(u,v,cross_product(w,f4(x,y))),f30(u,v,cross_product(w,f4(x,y))))),first(z))*. % 299.97/300.42 42503[0:Res:4278.1,5065.1] || member(u,compose(v,cross_product(f7(w,x),y))) member(w,second(x)) equal(z,x) -> member(first(ordered_pair(f31(u,v,cross_product(f7(w,x),y)),f30(u,v,cross_product(f7(w,x),y)))),second(z))*. % 299.97/300.42 42502[0:Res:4278.1,5064.1] || member(u,compose(v,cross_product(f5(w,x),y))) member(w,first(x)) equal(z,x) -> member(first(ordered_pair(f31(u,v,cross_product(f5(w,x),y)),f30(u,v,cross_product(f5(w,x),y)))),second(z))*. % 299.97/300.42 42501[0:Res:4278.1,5024.1] || member(u,compose(v,cross_product(f12(w,x),y))) member(w,flip_range_of(x)) equal(z,w) -> member(first(ordered_pair(f31(u,v,cross_product(f12(w,x),y)),f30(u,v,cross_product(f12(w,x),y)))),first(z))*. % 299.97/300.42 42500[0:Res:4278.1,5022.1] || member(u,compose(v,cross_product(f9(w,x),y))) member(w,rotate_right(x)) equal(z,w) -> member(first(ordered_pair(f31(u,v,cross_product(f9(w,x),y)),f30(u,v,cross_product(f9(w,x),y)))),first(z))*. % 299.97/300.42 42499[0:Res:4278.1,5020.1] || member(u,compose(v,cross_product(f6(w,x),y))) member(w,second(x)) equal(z,x) -> member(first(ordered_pair(f31(u,v,cross_product(f6(w,x),y)),f30(u,v,cross_product(f6(w,x),y)))),first(z))*. % 299.97/300.42 42498[0:Res:4278.1,5019.1] || member(u,compose(v,cross_product(f4(w,x),y))) member(w,first(x)) equal(z,x) -> member(first(ordered_pair(f31(u,v,cross_product(f4(w,x),y)),f30(u,v,cross_product(f4(w,x),y)))),first(z))*. % 299.97/300.42 42650[0:Res:4354.1,5065.1] || member(u,compose(cross_product(v,f7(w,x)),y)) member(w,second(x)) equal(z,x) -> member(second(ordered_pair(f29(u,cross_product(v,f7(w,x)),y),f31(u,cross_product(v,f7(w,x)),y))),second(z))*. % 299.97/300.42 42649[0:Res:4354.1,5064.1] || member(u,compose(cross_product(v,f5(w,x)),y)) member(w,first(x)) equal(z,x) -> member(second(ordered_pair(f29(u,cross_product(v,f5(w,x)),y),f31(u,cross_product(v,f5(w,x)),y))),second(z))*. % 299.97/300.42 42648[0:Res:4354.1,5024.1] || member(u,compose(cross_product(v,f12(w,x)),y)) member(w,flip_range_of(x)) equal(z,w) -> member(second(ordered_pair(f29(u,cross_product(v,f12(w,x)),y),f31(u,cross_product(v,f12(w,x)),y))),first(z))*. % 299.97/300.42 42647[0:Res:4354.1,5022.1] || member(u,compose(cross_product(v,f9(w,x)),y)) member(w,rotate_right(x)) equal(z,w) -> member(second(ordered_pair(f29(u,cross_product(v,f9(w,x)),y),f31(u,cross_product(v,f9(w,x)),y))),first(z))*. % 299.97/300.42 42646[0:Res:4354.1,5020.1] || member(u,compose(cross_product(v,f6(w,x)),y)) member(w,second(x)) equal(z,x) -> member(second(ordered_pair(f29(u,cross_product(v,f6(w,x)),y),f31(u,cross_product(v,f6(w,x)),y))),first(z))*. % 299.97/300.42 42645[0:Res:4354.1,5019.1] || member(u,compose(cross_product(v,f4(w,x)),y)) member(w,first(x)) equal(z,x) -> member(second(ordered_pair(f29(u,cross_product(v,f4(w,x)),y),f31(u,cross_product(v,f4(w,x)),y))),first(z))*. % 299.97/300.42 42792[0:Res:4353.1,5065.1] || member(u,compose(cross_product(f7(v,w),x),y)) member(v,second(w)) equal(z,w) -> member(first(ordered_pair(f29(u,cross_product(f7(v,w),x),y),f31(u,cross_product(f7(v,w),x),y))),second(z))*. % 299.97/300.42 42791[0:Res:4353.1,5064.1] || member(u,compose(cross_product(f5(v,w),x),y)) member(v,first(w)) equal(z,w) -> member(first(ordered_pair(f29(u,cross_product(f5(v,w),x),y),f31(u,cross_product(f5(v,w),x),y))),second(z))*. % 299.97/300.42 42790[0:Res:4353.1,5024.1] || member(u,compose(cross_product(f12(v,w),x),y)) member(v,flip_range_of(w)) equal(z,v) -> member(first(ordered_pair(f29(u,cross_product(f12(v,w),x),y),f31(u,cross_product(f12(v,w),x),y))),first(z))*. % 299.97/300.42 42789[0:Res:4353.1,5022.1] || member(u,compose(cross_product(f9(v,w),x),y)) member(v,rotate_right(w)) equal(z,v) -> member(first(ordered_pair(f29(u,cross_product(f9(v,w),x),y),f31(u,cross_product(f9(v,w),x),y))),first(z))*. % 299.97/300.42 42788[0:Res:4353.1,5020.1] || member(u,compose(cross_product(f6(v,w),x),y)) member(v,second(w)) equal(z,w) -> member(first(ordered_pair(f29(u,cross_product(f6(v,w),x),y),f31(u,cross_product(f6(v,w),x),y))),first(z))*. % 299.97/300.42 42787[0:Res:4353.1,5019.1] || member(u,compose(cross_product(f4(v,w),x),y)) member(v,first(w)) equal(z,w) -> member(first(ordered_pair(f29(u,cross_product(f4(v,w),x),y),f31(u,cross_product(f4(v,w),x),y))),first(z))*. % 299.97/300.42 42924[0:Res:93.1,1442.0] || member(u,image(v,apply(non_ordered_pair(w,x),y))) -> equal(f28(f22(u,v,apply(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y),x)** equal(f28(f22(u,v,apply(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y),w)**. % 299.97/300.42 42901[0:Res:118.1,1442.0] || member(u,apply(apply(non_ordered_pair(v,w),x),y)) -> equal(f28(f28(u,apply(non_ordered_pair(v,w),x),y),non_ordered_pair(v,w),x),w)** equal(f28(f28(u,apply(non_ordered_pair(v,w),x),y),non_ordered_pair(v,w),x),v)**. % 299.97/300.42 43101[0:Res:93.1,1443.0] || member(u,image(v,image(w,non_ordered_pair(x,y)))) -> equal(f22(f22(u,v,image(w,non_ordered_pair(x,y))),w,non_ordered_pair(x,y)),y)** equal(f22(f22(u,v,image(w,non_ordered_pair(x,y))),w,non_ordered_pair(x,y)),x)**. % 299.97/300.42 43078[0:Res:118.1,1443.0] || member(u,apply(image(v,non_ordered_pair(w,x)),y)) -> equal(f22(f28(u,image(v,non_ordered_pair(w,x)),y),v,non_ordered_pair(w,x)),x)** equal(f22(f28(u,image(v,non_ordered_pair(w,x)),y),v,non_ordered_pair(w,x)),w)**. % 299.97/300.42 43488[0:MRR:43487.0,92.1] little_set(u) || member(ordered_pair(v,first(f22(v,w,x))),apply(y,z)) member(v,image(w,x)) equal(u,v) -> member(u,range_of(converse(second(f28(ordered_pair(v,first(f22(v,w,x))),y,z)))))*. % 299.97/300.42 43490[0:MRR:43489.0,117.1] little_set(u) || member(ordered_pair(second(f28(v,w,x)),x),apply(y,z)) member(v,apply(w,x)) equal(u,x) -> member(u,domain_of(converse(second(f28(ordered_pair(second(f28(v,w,x)),x),y,z)))))*. % 299.97/300.42 44038[0:MRR:43992.0,43992.2,85.1,83.1] little_set(u) single_valued_set(v) || member(w,v) member(ordered_pair(f19(non_ordered_pair(w,x)),u),v)* -> single_valued_set(non_ordered_pair(w,x)) equal(ordered_pair(f19(non_ordered_pair(w,x)),f21(non_ordered_pair(w,x))),x)** equal(u,f21(non_ordered_pair(w,x))). % 299.97/300.42 44039[0:MRR:43978.0,43978.2,85.1,83.1] little_set(u) single_valued_set(v) || member(w,v) member(ordered_pair(f19(non_ordered_pair(x,w)),u),v)* -> single_valued_set(non_ordered_pair(x,w)) equal(ordered_pair(f19(non_ordered_pair(x,w)),f21(non_ordered_pair(x,w))),x)** equal(u,f21(non_ordered_pair(x,w))). % 299.97/300.42 44182[0:MRR:44136.0,44136.2,84.1,83.1] little_set(u) single_valued_set(v) || member(w,v) member(ordered_pair(f19(non_ordered_pair(w,x)),u),v)* -> single_valued_set(non_ordered_pair(w,x)) equal(ordered_pair(f19(non_ordered_pair(w,x)),f20(non_ordered_pair(w,x))),x)** equal(u,f20(non_ordered_pair(w,x))). % 299.97/300.42 44183[0:MRR:44122.0,44122.2,84.1,83.1] little_set(u) single_valued_set(v) || member(w,v) member(ordered_pair(f19(non_ordered_pair(x,w)),u),v)* -> single_valued_set(non_ordered_pair(x,w)) equal(ordered_pair(f19(non_ordered_pair(x,w)),f20(non_ordered_pair(x,w))),x)** equal(u,f20(non_ordered_pair(x,w))). % 299.97/300.42 47320[0:Res:1544.2,1558.0] || member(u,image(v,w)) subset(v,image(non_ordered_pair(x,y),z)) -> equal(first(f22(first(f22(u,v,w)),non_ordered_pair(x,y),z)),y)** equal(first(f22(first(f22(u,v,w)),non_ordered_pair(x,y),z)),x)**. % 299.97/300.42 47224[0:Res:395.0,1558.0] || -> subset(u,complement(image(non_ordered_pair(v,w),x))) equal(first(f22(f17(u,complement(image(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x)),w)** equal(first(f22(f17(u,complement(image(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x)),v)**. % 299.97/300.42 47205[2:Res:25246.0,1558.0] || -> equal(complement(image(non_ordered_pair(u,v),w)),universal_set) equal(first(f22(f1(universal_set,complement(image(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(universal_set,complement(image(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w)),u)**. % 299.97/300.42 47203[0:Res:4258.0,1558.0] || -> equal(complement(image(non_ordered_pair(u,v),w)),universal_set) equal(first(f22(f1(complement(image(non_ordered_pair(u,v),w)),universal_set),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(complement(image(non_ordered_pair(u,v),w)),universal_set),non_ordered_pair(u,v),w)),u)**. % 299.97/300.42 58749[16:Rew:54986.0,51593.1] little_set(apply(non_ordered_pair(u,v),w)) || -> equal(apply(non_ordered_pair(u,v),w),a) equal(f28(f26(apply(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w),v)** equal(f28(f26(apply(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w),u)**. % 299.97/300.42 58753[16:Rew:54986.0,51601.1] little_set(image(u,non_ordered_pair(v,w))) || -> equal(image(u,non_ordered_pair(v,w)),a) equal(f22(f26(image(u,non_ordered_pair(v,w))),u,non_ordered_pair(v,w)),w)** equal(f22(f26(image(u,non_ordered_pair(v,w))),u,non_ordered_pair(v,w)),v)**. % 299.97/300.42 59801[16:Rew:54986.0,58782.2,54986.0,58782.1] || -> equal(converse(non_ordered_pair(u,v)),a) equal(ordered_pair(second(f1(a,converse(non_ordered_pair(u,v)))),first(f1(a,converse(non_ordered_pair(u,v))))),v)** equal(ordered_pair(second(f1(a,converse(non_ordered_pair(u,v)))),first(f1(a,converse(non_ordered_pair(u,v))))),u)**. % 299.97/300.42 59802[16:Rew:54986.0,58783.2,54986.0,58783.1] || -> equal(converse(non_ordered_pair(u,v)),a) equal(ordered_pair(second(f1(converse(non_ordered_pair(u,v)),a)),first(f1(converse(non_ordered_pair(u,v)),a))),v)** equal(ordered_pair(second(f1(converse(non_ordered_pair(u,v)),a)),first(f1(converse(non_ordered_pair(u,v)),a))),u)**. % 299.97/300.42 58801[16:Rew:54986.0,51663.1] || member(u,compose(v,cross_product(w,x))) -> equal(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),a) ordered_pair_predicate(f26(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x))))))*. % 299.97/300.42 58802[16:Rew:54986.0,51664.1] || member(u,compose(v,cross_product(w,x))) -> equal(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),a) ordered_pair_predicate(f26(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x))))))*. % 299.97/300.42 58803[16:Rew:54986.0,51665.1] || member(u,compose(cross_product(v,w),x)) -> equal(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),a) ordered_pair_predicate(f26(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x)))))*. % 299.97/300.42 58804[16:Rew:54986.0,51666.1] || member(u,compose(cross_product(v,w),x)) -> equal(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),a) ordered_pair_predicate(f26(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x)))))*. % 299.97/300.42 64070[3:Res:3651.2,18198.1] ordered_pair_predicate(u) || member(second(ordered_pair(second(u),first(u))),cross_product(v,universal_set))* member(second(ordered_pair(second(u),first(u))),w)* member(first(ordered_pair(second(u),first(u))),x)* -> member(u,converse(cross_product(x,restrict(w,v))))*. % 299.97/300.42 64069[3:Res:384.1,18198.1] little_set(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || member(first(ordered_pair(second(u),first(u))),v)* -> member(second(ordered_pair(second(u),first(u))),union(w,x))* member(u,converse(cross_product(v,intersection(complement(w),complement(x)))))*. % 299.97/300.42 65872[0:Res:5054.3,5225.4] little_set(u) little_set(v) little_set(w) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(f4(x,y),w),u)* member(x,first(y)) member(y,second(ordered_pair(v,u)))* -> equal(w,f5(x,y)). % 299.97/300.42 65871[0:Res:5009.3,5225.4] little_set(u) little_set(v) little_set(w) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(f4(x,y),w),v)* member(x,first(y)) member(y,first(ordered_pair(v,u)))* -> equal(w,f5(x,y)). % 299.97/300.42 65858[0:Res:33.2,5225.4] little_set(u) single_valued_set(intersection(v,w)) || member(ordered_pair(f4(x,y),u),w)* member(ordered_pair(f4(x,y),u),v)* member(x,first(y)) member(y,intersection(v,w))* -> equal(u,f5(x,y)). % 299.97/300.42 65993[0:Res:5054.3,5226.4] little_set(u) little_set(v) little_set(w) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(f6(x,y),w),u)* member(x,second(y)) member(y,second(ordered_pair(v,u)))* -> equal(w,f7(x,y)). % 299.97/300.42 65992[0:Res:5009.3,5226.4] little_set(u) little_set(v) little_set(w) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(f6(x,y),w),v)* member(x,second(y)) member(y,first(ordered_pair(v,u)))* -> equal(w,f7(x,y)). % 299.97/300.42 65979[0:Res:33.2,5226.4] little_set(u) single_valued_set(intersection(v,w)) || member(ordered_pair(f6(x,y),u),w)* member(ordered_pair(f6(x,y),u),v)* member(x,second(y)) member(y,intersection(v,w))* -> equal(u,f7(x,y)). % 299.97/300.42 66106[0:SSi:66082.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f10(x,ordered_pair(v,w)),u),non_ordered_pair(v,w))** member(x,rotate_right(ordered_pair(v,w))) -> equal(u,ordered_pair(f11(x,ordered_pair(v,w)),f9(x,ordered_pair(v,w))))*. % 299.97/300.42 66109[0:MRR:66108.2,49.1] little_set(u) little_set(v) single_valued_set(flip_range_of(w)) || member(ordered_pair(f10(x,flip_range_of(w)),ordered_pair(u,v)),w)* member(x,rotate_right(flip_range_of(w))) -> equal(ordered_pair(v,u),ordered_pair(f11(x,flip_range_of(w)),f9(x,flip_range_of(w))))*. % 299.97/300.42 66111[0:MRR:66110.2,49.1] little_set(u) little_set(v) single_valued_set(rotate_right(w)) || member(ordered_pair(v,ordered_pair(u,f10(x,rotate_right(w)))),w)* member(x,rotate_right(rotate_right(w))) -> equal(ordered_pair(v,u),ordered_pair(f11(x,rotate_right(w)),f9(x,rotate_right(w))))*. % 299.97/300.42 66204[0:SSi:66178.0,371.0] little_set(u) single_valued_set(ordered_pair(v,w)) || equal(ordered_pair(f12(x,ordered_pair(v,w)),u),non_ordered_pair(v,w))** member(x,flip_range_of(ordered_pair(v,w))) -> equal(u,ordered_pair(f14(x,ordered_pair(v,w)),f13(x,ordered_pair(v,w))))*. % 299.97/300.42 66207[0:MRR:66206.2,54.1] little_set(u) little_set(v) single_valued_set(flip_range_of(w)) || member(ordered_pair(f12(x,flip_range_of(w)),ordered_pair(u,v)),w)* member(x,flip_range_of(flip_range_of(w))) -> equal(ordered_pair(v,u),ordered_pair(f14(x,flip_range_of(w)),f13(x,flip_range_of(w))))*. % 299.97/300.42 66209[0:MRR:66208.2,54.1] little_set(u) little_set(v) single_valued_set(rotate_right(w)) || member(ordered_pair(v,ordered_pair(u,f12(x,rotate_right(w)))),w)* member(x,flip_range_of(rotate_right(w))) -> equal(ordered_pair(v,u),ordered_pair(f14(x,rotate_right(w)),f13(x,rotate_right(w))))*. % 299.97/300.42 66920[3:Res:3651.2,8204.3] little_set(u) little_set(v) || member(ordered_pair(u,f3(w)),cross_product(x,universal_set))* member(ordered_pair(u,f3(w)),y)* equal(v,w)* member(ordered_pair(f2(w),u),z)* -> member(v,compose(z,restrict(y,x)))*. % 299.97/300.42 66945[3:SSi:66902.0,5742.0,371.1] little_set(u) little_set(v) || member(second(ordered_pair(u,f3(w))),x)* member(first(ordered_pair(u,f3(w))),y)* equal(v,w)* member(ordered_pair(f2(w),u),z)* -> member(v,compose(z,cross_product(y,x)))*. % 299.97/300.42 67127[0:Res:1080.2,5162.4] little_set(first(f27(u,v))) little_set(w) || equal(first(f27(u,v)),non_ordered_pair(x,y))* member(u,range_of(v)) member(f27(u,v),z)* equal(u,w)* -> member(w,image(ordered_pair(x,y),z))*. % 299.97/300.42 67693[3:Rew:95.1,67665.1] || member(u,image(v,w)) member(x,compose(y,u)) member(f22(u,v,w),z)* equal(first(f22(u,v,w)),x1)* -> member(ordered_pair(f31(x,y,u),f30(x,y,u)),apply(z,x1))*. % 299.97/300.42 67751[3:Rew:95.1,67723.1] || member(u,image(v,w)) member(x,compose(u,y)) member(f22(u,v,w),z)* equal(first(f22(u,v,w)),x1)* -> member(ordered_pair(f29(x,u,y),f31(x,u,y)),apply(z,x1))*. % 299.97/300.42 67904[16:MRR:67876.0,131.1] little_set(f26(f29(u,v,w))) single_valued_set(x) || subset(f25,x)* member(u,compose(v,w)) member(u,x)* -> equal(f29(u,v,w),a) equal(f26(f29(u,v,w)),f30(u,v,w))**. % 299.97/300.42 67906[0:SSi:67862.0,371.0] little_set(u) single_valued_set(intersection(complement(v),complement(w))) || member(x,compose(y,z)) member(x,intersection(complement(v),complement(w))) -> member(ordered_pair(f29(x,y,z),u),union(v,w))* equal(u,f30(x,y,z)). % 299.97/300.42 67908[0:MRR:67907.2,131.1] little_set(u) little_set(v) single_valued_set(flip_range_of(w)) || member(ordered_pair(f29(x,y,z),ordered_pair(u,v)),w)* member(x,compose(y,z)) member(x,flip_range_of(w)) -> equal(ordered_pair(v,u),f30(x,y,z)). % 299.97/300.42 67910[0:MRR:67909.2,131.1] little_set(u) little_set(v) single_valued_set(rotate_right(w)) || member(ordered_pair(v,ordered_pair(u,f29(x,y,z))),w)* member(x,compose(y,z)) member(x,rotate_right(w)) -> equal(ordered_pair(v,u),f30(x,y,z)). % 299.97/300.42 68156[0:Res:5257.5,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(x,y) maps(z,x,v) subset(x,f3(u))* equal(x1,u)* -> homomorphism(z,x,y,v,w) member(f33(z,x,y,v,w),second(x1))*. % 299.97/300.42 68155[0:Res:5257.5,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(x,y) maps(z,x,v) subset(x,f2(u))* equal(x1,u)* -> homomorphism(z,x,y,v,w) member(f33(z,x,y,v,w),first(x1))*. % 299.97/300.42 68105[3:Res:5257.5,6176.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(z))* -> homomorphism(y,w,x,u,v) ordered_pair_predicate(ordered_pair(second(f33(y,w,x,u,v)),first(f33(y,w,x,u,v))))*. % 299.97/300.42 68259[0:Res:5302.5,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(x,y) maps(z,x,v) subset(x,f3(u))* equal(x1,u)* -> homomorphism(z,x,y,v,w) member(f32(z,x,y,v,w),second(x1))*. % 299.97/300.42 68258[0:Res:5302.5,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(x,y) maps(z,x,v) subset(x,f2(u))* equal(x1,u)* -> homomorphism(z,x,y,v,w) member(f32(z,x,y,v,w),first(x1))*. % 299.97/300.42 68208[3:Res:5302.5,6176.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(z))* -> homomorphism(y,w,x,u,v) ordered_pair_predicate(ordered_pair(second(f32(y,w,x,u,v)),first(f32(y,w,x,u,v))))*. % 299.97/300.42 68780[0:Rew:36.0,68749.4,36.0,68749.2,36.0,68749.1] || closed(u,v) closed(union(w,x),y) maps(z,union(w,x),u) member(f33(z,union(w,x),y,u,v),intersection(complement(w),complement(x)))* -> homomorphism(z,union(w,x),y,u,v). % 299.97/300.42 68781[0:MRR:68754.0,5259.4] || equal(f33(u,complement(non_ordered_pair(v,w)),x,y,z),w)** closed(y,z) closed(complement(non_ordered_pair(v,w)),x) maps(u,complement(non_ordered_pair(v,w)),y) -> homomorphism(u,complement(non_ordered_pair(v,w)),x,y,z). % 299.97/300.42 68782[0:MRR:68753.0,5259.4] || equal(f33(u,complement(non_ordered_pair(v,w)),x,y,z),v)** closed(y,z) closed(complement(non_ordered_pair(v,w)),x) maps(u,complement(non_ordered_pair(v,w)),y) -> homomorphism(u,complement(non_ordered_pair(v,w)),x,y,z). % 299.97/300.42 68841[0:Rew:36.0,68810.4,36.0,68810.2,36.0,68810.1] || closed(u,v) closed(union(w,x),y) maps(z,union(w,x),u) member(f32(z,union(w,x),y,u,v),intersection(complement(w),complement(x)))* -> homomorphism(z,union(w,x),y,u,v). % 299.97/300.42 68842[0:MRR:68815.0,5304.4] || equal(f32(u,complement(non_ordered_pair(v,w)),x,y,z),w)** closed(y,z) closed(complement(non_ordered_pair(v,w)),x) maps(u,complement(non_ordered_pair(v,w)),y) -> homomorphism(u,complement(non_ordered_pair(v,w)),x,y,z). % 299.97/300.42 68843[0:MRR:68814.0,5304.4] || equal(f32(u,complement(non_ordered_pair(v,w)),x,y,z),v)** closed(y,z) closed(complement(non_ordered_pair(v,w)),x) maps(u,complement(non_ordered_pair(v,w)),y) -> homomorphism(u,complement(non_ordered_pair(v,w)),x,y,z). % 299.97/300.42 69165[0:Res:67.1,5255.3] || member(f33(u,v,w,x,y),sigma(z)) closed(x,y) closed(v,w) maps(u,v,x) disjoint(f16(f33(u,v,w,x,y),z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.42 69164[0:Res:21.1,5255.3] || member(f33(u,v,w,x,y),first(z)) closed(x,y) closed(v,w) maps(u,v,x) disjoint(f4(f33(u,v,w,x,y),z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.42 69163[0:Res:26.1,5255.3] || member(f33(u,v,w,x,y),second(z)) closed(x,y) closed(v,w) maps(u,v,x) disjoint(f7(f33(u,v,w,x,y),z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.42 69403[0:Res:67.1,5300.3] || member(f32(u,v,w,x,y),sigma(z)) closed(x,y) closed(v,w) maps(u,v,x) disjoint(f16(f32(u,v,w,x,y),z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.42 69402[0:Res:21.1,5300.3] || member(f32(u,v,w,x,y),first(z)) closed(x,y) closed(v,w) maps(u,v,x) disjoint(f4(f32(u,v,w,x,y),z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.42 69401[0:Res:26.1,5300.3] || member(f32(u,v,w,x,y),second(z)) closed(x,y) closed(v,w) maps(u,v,x) disjoint(f7(f32(u,v,w,x,y),z),v)* -> homomorphism(u,v,w,x,y). % 299.97/300.42 70467[0:Res:67.1,5163.4] little_set(u) || member(first(f22(v,w,x)),sigma(y)) member(v,image(w,x)) member(f22(v,w,x),z) equal(v,u) -> member(u,image(f16(first(f22(v,w,x)),y),z))*. % 299.97/300.42 70466[0:Res:21.1,5163.4] little_set(u) || member(first(f22(v,w,x)),first(y)) member(v,image(w,x)) member(f22(v,w,x),z) equal(v,u) -> member(u,image(f4(first(f22(v,w,x)),y),z))*. % 299.97/300.42 70465[0:Res:26.1,5163.4] little_set(u) || member(first(f22(v,w,x)),second(y)) member(v,image(w,x)) member(f22(v,w,x),z) equal(v,u) -> member(u,image(f7(first(f22(v,w,x)),y),z))*. % 299.97/300.42 70545[0:Res:5270.4,34.1] || closed(u,v) closed(intersection(w,complement(x)),y) maps(z,intersection(w,complement(x)),u) member(f33(z,intersection(w,complement(x)),y,u,v),x)* -> homomorphism(z,intersection(w,complement(x)),y,u,v). % 299.97/300.42 70522[0:Res:5270.4,68.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) member(x,x1) -> homomorphism(z,intersection(w,x),y,u,v) member(f33(z,intersection(w,x),y,u,v),sigma(x1))*. % 299.97/300.42 70521[0:Res:5270.4,98.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) member(f33(z,intersection(w,x),y,u,v),x1)* disjoint(x1,x) -> homomorphism(z,intersection(w,x),y,u,v). % 299.97/300.42 70641[0:Res:5269.4,34.1] || closed(u,v) closed(intersection(complement(w),x),y) maps(z,intersection(complement(w),x),u) member(f33(z,intersection(complement(w),x),y,u,v),w)* -> homomorphism(z,intersection(complement(w),x),y,u,v). % 299.97/300.42 70618[0:Res:5269.4,68.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) member(w,x1) -> homomorphism(z,intersection(w,x),y,u,v) member(f33(z,intersection(w,x),y,u,v),sigma(x1))*. % 299.97/300.42 70617[0:Res:5269.4,98.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) member(f33(z,intersection(w,x),y,u,v),x1)* disjoint(x1,w) -> homomorphism(z,intersection(w,x),y,u,v). % 299.97/300.42 70765[0:Res:5315.4,34.1] || closed(u,v) closed(intersection(w,complement(x)),y) maps(z,intersection(w,complement(x)),u) member(f32(z,intersection(w,complement(x)),y,u,v),x)* -> homomorphism(z,intersection(w,complement(x)),y,u,v). % 299.97/300.42 70742[0:Res:5315.4,68.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) member(x,x1) -> homomorphism(z,intersection(w,x),y,u,v) member(f32(z,intersection(w,x),y,u,v),sigma(x1))*. % 299.97/300.42 70741[0:Res:5315.4,98.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) member(f32(z,intersection(w,x),y,u,v),x1)* disjoint(x1,x) -> homomorphism(z,intersection(w,x),y,u,v). % 299.97/300.42 70845[0:Res:5314.4,34.1] || closed(u,v) closed(intersection(complement(w),x),y) maps(z,intersection(complement(w),x),u) member(f32(z,intersection(complement(w),x),y,u,v),w)* -> homomorphism(z,intersection(complement(w),x),y,u,v). % 299.97/300.42 70822[0:Res:5314.4,68.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) member(w,x1) -> homomorphism(z,intersection(w,x),y,u,v) member(f32(z,intersection(w,x),y,u,v),sigma(x1))*. % 299.97/300.42 70821[0:Res:5314.4,98.0] || closed(u,v) closed(intersection(w,x),y) maps(z,intersection(w,x),u) member(f32(z,intersection(w,x),y,u,v),x1)* disjoint(x1,w) -> homomorphism(z,intersection(w,x),y,u,v). % 299.97/300.42 71013[0:SSi:70992.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),non_ordered_pair(y,z))* member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),x1)* -> member(v,compose(x1,ordered_pair(y,z)))*. % 299.97/300.42 71084[0:SSi:71063.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),non_ordered_pair(y,z))* member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),x1)* -> member(v,compose(x1,ordered_pair(y,z)))*. % 299.97/300.42 71189[0:SSi:71170.0,371.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),non_ordered_pair(z,x1))* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(ordered_pair(z,x1)))*. % 299.97/300.42 71324[0:SSi:71300.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),non_ordered_pair(z,x1))* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(ordered_pair(z,x1)))*. % 299.97/300.42 71384[0:Res:5263.4,1444.0] || closed(u,v) closed(cross_product(w,singleton_set(x)),y) maps(z,cross_product(w,singleton_set(x)),u) -> homomorphism(z,cross_product(w,singleton_set(x)),y,u,v) equal(second(f33(z,cross_product(w,singleton_set(x)),y,u,v)),x)**. % 299.97/300.42 71383[0:Res:5263.4,76.0] || closed(u,v) closed(cross_product(w,powerset(x)),y) maps(z,cross_product(w,powerset(x)),u) -> homomorphism(z,cross_product(w,powerset(x)),y,u,v) subset(second(f33(z,cross_product(w,powerset(x)),y,u,v)),x)*. % 299.97/300.42 71363[0:Res:5263.4,70.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) subset(x,x1) -> homomorphism(z,cross_product(w,x),y,u,v) member(second(f33(z,cross_product(w,x),y,u,v)),x1)*. % 299.97/300.42 71489[0:Res:5262.4,1444.0] || closed(u,v) closed(cross_product(singleton_set(w),x),y) maps(z,cross_product(singleton_set(w),x),u) -> homomorphism(z,cross_product(singleton_set(w),x),y,u,v) equal(first(f33(z,cross_product(singleton_set(w),x),y,u,v)),w)**. % 299.97/300.42 71488[0:Res:5262.4,76.0] || closed(u,v) closed(cross_product(powerset(w),x),y) maps(z,cross_product(powerset(w),x),u) -> homomorphism(z,cross_product(powerset(w),x),y,u,v) subset(first(f33(z,cross_product(powerset(w),x),y,u,v)),w)*. % 299.97/300.42 71468[0:Res:5262.4,70.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) subset(w,x1) -> homomorphism(z,cross_product(w,x),y,u,v) member(first(f33(z,cross_product(w,x),y,u,v)),x1)*. % 299.97/300.42 71635[0:Res:5308.4,1444.0] || closed(u,v) closed(cross_product(w,singleton_set(x)),y) maps(z,cross_product(w,singleton_set(x)),u) -> homomorphism(z,cross_product(w,singleton_set(x)),y,u,v) equal(second(f32(z,cross_product(w,singleton_set(x)),y,u,v)),x)**. % 299.97/300.42 71634[0:Res:5308.4,76.0] || closed(u,v) closed(cross_product(w,powerset(x)),y) maps(z,cross_product(w,powerset(x)),u) -> homomorphism(z,cross_product(w,powerset(x)),y,u,v) subset(second(f32(z,cross_product(w,powerset(x)),y,u,v)),x)*. % 299.97/300.42 71614[0:Res:5308.4,70.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) subset(x,x1) -> homomorphism(z,cross_product(w,x),y,u,v) member(second(f32(z,cross_product(w,x),y,u,v)),x1)*. % 299.97/300.42 71744[16:Res:56196.1,5313.3] || equal(f32(u,complement(ordered_pair(universal_set,v)),w,x,y),a)** closed(x,y) closed(complement(ordered_pair(universal_set,v)),w) maps(u,complement(ordered_pair(universal_set,v)),x) -> homomorphism(u,complement(ordered_pair(universal_set,v)),w,x,y). % 299.97/300.42 71743[16:Res:56196.1,5268.3] || equal(f33(u,complement(ordered_pair(universal_set,v)),w,x,y),a)** closed(x,y) closed(complement(ordered_pair(universal_set,v)),w) maps(u,complement(ordered_pair(universal_set,v)),x) -> homomorphism(u,complement(ordered_pair(universal_set,v)),w,x,y). % 299.97/300.42 71888[0:Res:5307.4,1444.0] || closed(u,v) closed(cross_product(singleton_set(w),x),y) maps(z,cross_product(singleton_set(w),x),u) -> homomorphism(z,cross_product(singleton_set(w),x),y,u,v) equal(first(f32(z,cross_product(singleton_set(w),x),y,u,v)),w)**. % 299.97/300.42 71887[0:Res:5307.4,76.0] || closed(u,v) closed(cross_product(powerset(w),x),y) maps(z,cross_product(powerset(w),x),u) -> homomorphism(z,cross_product(powerset(w),x),y,u,v) subset(first(f32(z,cross_product(powerset(w),x),y,u,v)),w)*. % 299.97/300.42 71867[0:Res:5307.4,70.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) subset(w,x1) -> homomorphism(z,cross_product(w,x),y,u,v) member(first(f32(z,cross_product(w,x),y,u,v)),x1)*. % 299.97/300.42 72581[0:SSi:72549.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,ordered_pair(ordered_pair(f10(v,w),f11(v,w)),v))* member(ordered_pair(f9(v,w),singleton_set(singleton_set(ordered_pair(f10(v,w),f11(v,w))))),x)* -> member(u,rotate_right(x))*. % 299.97/300.42 72593[0:SSi:72573.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),singleton_set(y))* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(ordered_pair(y,z)))*. % 299.97/300.42 72996[0:SSi:72964.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,ordered_pair(ordered_pair(f13(v,w),f14(v,w)),v))* member(ordered_pair(f12(v,w),singleton_set(singleton_set(ordered_pair(f13(v,w),f14(v,w))))),x)* -> member(u,rotate_right(x))*. % 299.97/300.42 73008[0:SSi:72988.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),singleton_set(y))* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(ordered_pair(y,z)))*. % 299.97/300.42 73240[0:SSi:73216.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),singleton_set(y))* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(ordered_pair(y,z)))*. % 299.97/300.42 73433[0:SSi:73409.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),singleton_set(y))* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(ordered_pair(y,z)))*. % 299.97/300.42 73987[0:SSi:73947.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),z)* member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),x1)* -> member(v,compose(x1,singleton_set(z)))*. % 299.97/300.42 73988[0:SSi:73946.0,371.0] little_set(u) little_set(v) || subset(ordered_pair(u,f30(w,x,y)),z)* member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),x1)* -> member(v,compose(x1,powerset(z)))*. % 299.97/300.42 74069[0:SSi:74045.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),z)* member(v,compose(y,complement(z)))*. % 299.97/300.42 74179[0:SSi:74155.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),z)* member(v,compose(y,complement(z)))*. % 299.97/300.42 75671[16:Res:5311.4,57812.0] || closed(u,v) closed(powerset(f25),w) maps(x,powerset(f25),u) -> homomorphism(x,powerset(f25),w,u,v) single_valued_set(f32(x,powerset(f25),w,u,v)) equal(f19(f32(x,powerset(f25),w,u,v)),a)**. % 299.97/300.42 75670[16:Res:5266.4,57812.0] || closed(u,v) closed(powerset(f25),w) maps(x,powerset(f25),u) -> homomorphism(x,powerset(f25),w,u,v) single_valued_set(f33(x,powerset(f25),w,u,v)) equal(f19(f33(x,powerset(f25),w,u,v)),a)**. % 299.97/300.42 78807[16:Res:4279.1,56189.0] || member(u,compose(v,cross_product(w,x))) -> equal(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),a) little_set(f26(second(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x))))))*. % 299.97/300.42 78740[16:Res:4278.1,56189.0] || member(u,compose(v,cross_product(w,x))) -> equal(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x)))),a) little_set(f26(first(ordered_pair(f31(u,v,cross_product(w,x)),f30(u,v,cross_product(w,x))))))*. % 299.97/300.42 78730[16:Res:4353.1,56189.0] || member(u,compose(cross_product(v,w),x)) -> equal(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),a) little_set(f26(first(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x)))))*. % 299.97/300.42 78665[16:Res:4354.1,56189.0] || member(u,compose(cross_product(v,w),x)) -> equal(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x))),a) little_set(f26(second(ordered_pair(f29(u,cross_product(v,w),x),f31(u,cross_product(v,w),x)))))*. % 299.97/300.42 82846[16:Res:82637.1,6086.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),a)** member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(v,compose(y,set_b))*. % 299.97/300.42 82845[16:Res:82637.1,6084.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),a)** member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(v,compose(y,set_b))*. % 299.97/300.42 82999[3:Res:82638.1,6086.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),a)** member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(v,compose(y,set_a))*. % 299.97/300.42 82998[3:Res:82638.1,6084.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),a)** member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(v,compose(y,set_a))*. % 299.97/300.42 83154[16:Res:82641.1,6086.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),a)** member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(v,compose(y,infinity))*. % 299.97/300.42 83153[16:Res:82641.1,6084.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),a)** member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(v,compose(y,infinity))*. % 299.97/300.42 87729[16:Res:82665.1,6082.4] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),a) member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(v,compose(z,sigma(infinity)))*. % 299.97/300.42 87883[16:Res:82681.1,6082.4] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),a) member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(v,compose(z,successor(a)))*. % 299.97/300.42 89517[0:Res:4775.1,43745.1] || member(u,rotate_right(cross_product(flip_range_of(complement(flip_range_of(v))),w))) member(first(ordered_pair(f10(u,cross_product(flip_range_of(complement(flip_range_of(v))),w)),ordered_pair(f11(u,cross_product(flip_range_of(complement(flip_range_of(v))),w)),f9(u,cross_product(flip_range_of(complement(flip_range_of(v))),w))))),v)* -> . % 299.97/300.42 89516[0:Res:4627.1,43745.1] || member(u,flip_range_of(cross_product(flip_range_of(complement(flip_range_of(v))),w))) member(first(ordered_pair(f12(u,cross_product(flip_range_of(complement(flip_range_of(v))),w)),ordered_pair(f14(u,cross_product(flip_range_of(complement(flip_range_of(v))),w)),f13(u,cross_product(flip_range_of(complement(flip_range_of(v))),w))))),v)* -> . % 299.97/300.42 89464[0:Res:142.3,43745.1] || closed(u,v) closed(flip_range_of(complement(flip_range_of(w))),x) maps(y,flip_range_of(complement(flip_range_of(w))),u) member(f32(y,flip_range_of(complement(flip_range_of(w))),x,u,v),w)* -> homomorphism(y,flip_range_of(complement(flip_range_of(w))),x,u,v). % 299.97/300.42 89462[0:Res:143.3,43745.1] || closed(u,v) closed(flip_range_of(complement(flip_range_of(w))),x) maps(y,flip_range_of(complement(flip_range_of(w))),u) member(f33(y,flip_range_of(complement(flip_range_of(w))),x,u,v),w)* -> homomorphism(y,flip_range_of(complement(flip_range_of(w))),x,u,v). % 299.97/300.42 89454[0:Res:4776.1,43745.1] || member(u,rotate_right(cross_product(v,flip_range_of(complement(flip_range_of(w)))))) member(second(ordered_pair(f10(u,cross_product(v,flip_range_of(complement(flip_range_of(w))))),ordered_pair(f11(u,cross_product(v,flip_range_of(complement(flip_range_of(w))))),f9(u,cross_product(v,flip_range_of(complement(flip_range_of(w)))))))),w)* -> . % 299.97/300.42 89453[0:Res:4628.1,43745.1] || member(u,flip_range_of(cross_product(v,flip_range_of(complement(flip_range_of(w)))))) member(second(ordered_pair(f12(u,cross_product(v,flip_range_of(complement(flip_range_of(w))))),ordered_pair(f14(u,cross_product(v,flip_range_of(complement(flip_range_of(w))))),f13(u,cross_product(v,flip_range_of(complement(flip_range_of(w)))))))),w)* -> . % 299.97/300.42 92692[0:Res:4775.1,19261.0] || member(u,rotate_right(cross_product(sigma(intersection(v,w)),x))) -> member(first(ordered_pair(f10(u,cross_product(sigma(intersection(v,w)),x)),ordered_pair(f11(u,cross_product(sigma(intersection(v,w)),x)),f9(u,cross_product(sigma(intersection(v,w)),x))))),sigma(v))*. % 299.97/300.42 92691[0:Res:4627.1,19261.0] || member(u,flip_range_of(cross_product(sigma(intersection(v,w)),x))) -> member(first(ordered_pair(f12(u,cross_product(sigma(intersection(v,w)),x)),ordered_pair(f14(u,cross_product(sigma(intersection(v,w)),x)),f13(u,cross_product(sigma(intersection(v,w)),x))))),sigma(v))*. % 299.97/300.42 92640[0:Res:142.3,19261.0] || closed(u,v) closed(sigma(intersection(w,x)),y) maps(z,sigma(intersection(w,x)),u) -> homomorphism(z,sigma(intersection(w,x)),y,u,v) member(f32(z,sigma(intersection(w,x)),y,u,v),sigma(w))*. % 299.97/300.42 92638[0:Res:143.3,19261.0] || closed(u,v) closed(sigma(intersection(w,x)),y) maps(z,sigma(intersection(w,x)),u) -> homomorphism(z,sigma(intersection(w,x)),y,u,v) member(f33(z,sigma(intersection(w,x)),y,u,v),sigma(w))*. % 299.97/300.42 92630[0:Res:4776.1,19261.0] || member(u,rotate_right(cross_product(v,sigma(intersection(w,x))))) -> member(second(ordered_pair(f10(u,cross_product(v,sigma(intersection(w,x)))),ordered_pair(f11(u,cross_product(v,sigma(intersection(w,x)))),f9(u,cross_product(v,sigma(intersection(w,x))))))),sigma(w))*. % 299.97/300.42 92629[0:Res:4628.1,19261.0] || member(u,flip_range_of(cross_product(v,sigma(intersection(w,x))))) -> member(second(ordered_pair(f12(u,cross_product(v,sigma(intersection(w,x)))),ordered_pair(f14(u,cross_product(v,sigma(intersection(w,x)))),f13(u,cross_product(v,sigma(intersection(w,x))))))),sigma(w))*. % 299.97/300.42 92894[0:Res:4775.1,19263.0] || member(u,rotate_right(cross_product(sigma(intersection(v,w)),x))) -> member(first(ordered_pair(f10(u,cross_product(sigma(intersection(v,w)),x)),ordered_pair(f11(u,cross_product(sigma(intersection(v,w)),x)),f9(u,cross_product(sigma(intersection(v,w)),x))))),sigma(w))*. % 299.97/300.42 92893[0:Res:4627.1,19263.0] || member(u,flip_range_of(cross_product(sigma(intersection(v,w)),x))) -> member(first(ordered_pair(f12(u,cross_product(sigma(intersection(v,w)),x)),ordered_pair(f14(u,cross_product(sigma(intersection(v,w)),x)),f13(u,cross_product(sigma(intersection(v,w)),x))))),sigma(w))*. % 299.97/300.42 92842[0:Res:142.3,19263.0] || closed(u,v) closed(sigma(intersection(w,x)),y) maps(z,sigma(intersection(w,x)),u) -> homomorphism(z,sigma(intersection(w,x)),y,u,v) member(f32(z,sigma(intersection(w,x)),y,u,v),sigma(x))*. % 299.97/300.42 92840[0:Res:143.3,19263.0] || closed(u,v) closed(sigma(intersection(w,x)),y) maps(z,sigma(intersection(w,x)),u) -> homomorphism(z,sigma(intersection(w,x)),y,u,v) member(f33(z,sigma(intersection(w,x)),y,u,v),sigma(x))*. % 299.97/300.42 92832[0:Res:4776.1,19263.0] || member(u,rotate_right(cross_product(v,sigma(intersection(w,x))))) -> member(second(ordered_pair(f10(u,cross_product(v,sigma(intersection(w,x)))),ordered_pair(f11(u,cross_product(v,sigma(intersection(w,x)))),f9(u,cross_product(v,sigma(intersection(w,x))))))),sigma(x))*. % 299.97/300.42 92831[0:Res:4628.1,19263.0] || member(u,flip_range_of(cross_product(v,sigma(intersection(w,x))))) -> member(second(ordered_pair(f12(u,cross_product(v,sigma(intersection(w,x)))),ordered_pair(f14(u,cross_product(v,sigma(intersection(w,x)))),f13(u,cross_product(v,sigma(intersection(w,x))))))),sigma(x))*. % 299.97/300.42 99536[3:MRR:99333.0,6185.4] || closed(u,v) closed(complement(converse(complement(w))),x) maps(y,complement(converse(complement(w))),u) -> member(f32(y,complement(converse(complement(w))),x,u,v),converse(w))* homomorphism(y,complement(converse(complement(w))),x,u,v). % 299.97/300.42 99537[3:MRR:99332.0,6184.4] || closed(u,v) closed(complement(converse(complement(w))),x) maps(y,complement(converse(complement(w))),u) -> member(f33(y,complement(converse(complement(w))),x,u,v),converse(w))* homomorphism(y,complement(converse(complement(w))),x,u,v). % 299.97/300.42 99645[0:Res:22366.2,5313.3] ordered_pair_predicate(u) || member(f32(v,complement(first(u)),w,x,y),f2(u))* closed(x,y) closed(complement(first(u)),w) maps(v,complement(first(u)),x) -> homomorphism(v,complement(first(u)),w,x,y). % 299.97/300.42 99644[0:Res:22366.2,5268.3] ordered_pair_predicate(u) || member(f33(v,complement(first(u)),w,x,y),f2(u))* closed(x,y) closed(complement(first(u)),w) maps(v,complement(first(u)),x) -> homomorphism(v,complement(first(u)),w,x,y). % 299.97/300.42 99839[0:Res:22612.2,5313.3] ordered_pair_predicate(u) || member(f32(v,complement(second(u)),w,x,y),f3(u))* closed(x,y) closed(complement(second(u)),w) maps(v,complement(second(u)),x) -> homomorphism(v,complement(second(u)),w,x,y). % 299.97/300.42 99838[0:Res:22612.2,5268.3] ordered_pair_predicate(u) || member(f33(v,complement(second(u)),w,x,y),f3(u))* closed(x,y) closed(complement(second(u)),w) maps(v,complement(second(u)),x) -> homomorphism(v,complement(second(u)),w,x,y). % 299.97/300.42 104804[0:MRR:104606.0,5304.4] || closed(u,v) closed(complement(union(w,x)),y) maps(z,complement(union(w,x)),u) -> member(f32(z,complement(union(w,x)),y,u,v),complement(w))* homomorphism(z,complement(union(w,x)),y,u,v). % 299.97/300.42 104805[0:MRR:104605.0,5259.4] || closed(u,v) closed(complement(union(w,x)),y) maps(z,complement(union(w,x)),u) -> member(f33(z,complement(union(w,x)),y,u,v),complement(w))* homomorphism(z,complement(union(w,x)),y,u,v). % 299.97/300.42 105150[0:MRR:104950.0,5304.4] || closed(u,v) closed(complement(union(w,x)),y) maps(z,complement(union(w,x)),u) -> member(f32(z,complement(union(w,x)),y,u,v),complement(x))* homomorphism(z,complement(union(w,x)),y,u,v). % 299.97/300.42 105151[0:MRR:104949.0,5259.4] || closed(u,v) closed(complement(union(w,x)),y) maps(z,complement(union(w,x)),u) -> member(f33(z,complement(union(w,x)),y,u,v),complement(x))* homomorphism(z,complement(union(w,x)),y,u,v). % 299.97/300.42 21251[0:Res:136.1,1421.0] || member(u,compose(v,ordered_pair(w,x))) -> equal(ordered_pair(f31(u,v,ordered_pair(w,x)),f30(u,v,ordered_pair(w,x))),non_ordered_pair(w,x))** equal(ordered_pair(f31(u,v,ordered_pair(w,x)),f30(u,v,ordered_pair(w,x))),singleton_set(w)). % 299.97/300.42 21244[0:Res:135.1,1421.0] || member(u,compose(ordered_pair(v,w),x)) -> equal(ordered_pair(f29(u,ordered_pair(v,w),x),f31(u,ordered_pair(v,w),x)),non_ordered_pair(v,w))** equal(ordered_pair(f29(u,ordered_pair(v,w),x),f31(u,ordered_pair(v,w),x)),singleton_set(v)). % 299.97/300.42 21479[0:Res:540.1,1421.0] || -> single_valued_set(cross_product(u,ordered_pair(v,w))) equal(second(ordered_pair(f19(cross_product(u,ordered_pair(v,w))),f21(cross_product(u,ordered_pair(v,w))))),non_ordered_pair(v,w))** equal(second(ordered_pair(f19(cross_product(u,ordered_pair(v,w))),f21(cross_product(u,ordered_pair(v,w))))),singleton_set(v)). % 299.97/300.42 21639[0:Res:541.1,1421.0] || -> single_valued_set(cross_product(u,ordered_pair(v,w))) equal(second(ordered_pair(f19(cross_product(u,ordered_pair(v,w))),f20(cross_product(u,ordered_pair(v,w))))),non_ordered_pair(v,w))** equal(second(ordered_pair(f19(cross_product(u,ordered_pair(v,w))),f20(cross_product(u,ordered_pair(v,w))))),singleton_set(v)). % 299.97/300.42 21718[0:Res:553.1,1421.0] || -> single_valued_set(cross_product(ordered_pair(u,v),w)) equal(first(ordered_pair(f19(cross_product(ordered_pair(u,v),w)),f21(cross_product(ordered_pair(u,v),w)))),non_ordered_pair(u,v))** equal(first(ordered_pair(f19(cross_product(ordered_pair(u,v),w)),f21(cross_product(ordered_pair(u,v),w)))),singleton_set(u)). % 299.97/300.42 21807[0:Res:554.1,1421.0] || -> single_valued_set(cross_product(ordered_pair(u,v),w)) equal(first(ordered_pair(f19(cross_product(ordered_pair(u,v),w)),f20(cross_product(ordered_pair(u,v),w)))),non_ordered_pair(u,v))** equal(first(ordered_pair(f19(cross_product(ordered_pair(u,v),w)),f20(cross_product(ordered_pair(u,v),w)))),singleton_set(u)). % 299.97/300.42 32139[0:Res:1008.2,3811.0] || member(u,range_of(v)) member(f27(u,v),converse(w)) -> equal(x,ordered_pair(u,first(f27(u,v)))) member(f1(x,ordered_pair(u,first(f27(u,v)))),x)* member(f1(x,ordered_pair(u,first(f27(u,v)))),sigma(w))*. % 299.97/300.42 32138[0:Res:1008.2,3829.0] || member(u,range_of(v)) member(f27(u,v),converse(w)) -> equal(ordered_pair(u,first(f27(u,v))),x) member(f1(ordered_pair(u,first(f27(u,v))),x),x)* member(f1(ordered_pair(u,first(f27(u,v))),x),sigma(w))*. % 299.97/300.42 32310[0:Res:1007.2,3811.0] || member(u,domain_of(v)) member(f8(u,v),converse(w)) -> equal(x,ordered_pair(second(f8(u,v)),u)) member(f1(x,ordered_pair(second(f8(u,v)),u)),x)* member(f1(x,ordered_pair(second(f8(u,v)),u)),sigma(w))*. % 299.97/300.42 32309[0:Res:1007.2,3829.0] || member(u,domain_of(v)) member(f8(u,v),converse(w)) -> equal(ordered_pair(second(f8(u,v)),u),x) member(f1(ordered_pair(second(f8(u,v)),u),x),x)* member(f1(ordered_pair(second(f8(u,v)),u),x),sigma(w))*. % 299.97/300.42 32808[0:Res:3836.2,1020.0] || -> equal(cross_product(u,converse(intersection(v,w))),x) member(f1(cross_product(u,converse(intersection(v,w))),x),x) member(ordered_pair(second(second(f1(cross_product(u,converse(intersection(v,w))),x))),first(second(f1(cross_product(u,converse(intersection(v,w))),x)))),v)*. % 299.97/300.42 32807[0:Res:3836.2,1021.0] || -> equal(cross_product(u,converse(intersection(v,w))),x) member(f1(cross_product(u,converse(intersection(v,w))),x),x) member(ordered_pair(second(second(f1(cross_product(u,converse(intersection(v,w))),x))),first(second(f1(cross_product(u,converse(intersection(v,w))),x)))),w)*. % 299.97/300.42 32787[0:Res:3836.2,3811.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* equal(x,second(f1(cross_product(u,v),w))) member(f1(x,second(f1(cross_product(u,v),w))),x)* member(f1(x,second(f1(cross_product(u,v),w))),sigma(v))*. % 299.97/300.42 32786[0:Res:3836.2,3829.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* equal(second(f1(cross_product(u,v),w)),x) member(f1(second(f1(cross_product(u,v),w)),x),x)* member(f1(second(f1(cross_product(u,v),w)),x),sigma(v))*. % 299.97/300.42 32753[0:Res:3836.1,1014.0] || -> equal(cross_product(u,v),converse(cross_product(w,x))) member(second(f1(cross_product(u,v),converse(cross_product(w,x)))),v) member(first(ordered_pair(second(f1(cross_product(u,v),converse(cross_product(w,x)))),first(f1(cross_product(u,v),converse(cross_product(w,x)))))),w)*. % 299.97/300.42 32752[0:Res:3836.1,1015.0] || -> equal(cross_product(u,v),converse(cross_product(w,x))) member(second(f1(cross_product(u,v),converse(cross_product(w,x)))),v) member(second(ordered_pair(second(f1(cross_product(u,v),converse(cross_product(w,x)))),first(f1(cross_product(u,v),converse(cross_product(w,x)))))),x)*. % 299.97/300.42 32973[0:Res:3835.2,1020.0] || -> equal(cross_product(converse(intersection(u,v)),w),x) member(f1(cross_product(converse(intersection(u,v)),w),x),x) member(ordered_pair(second(first(f1(cross_product(converse(intersection(u,v)),w),x))),first(first(f1(cross_product(converse(intersection(u,v)),w),x)))),u)*. % 299.97/300.42 32972[0:Res:3835.2,1021.0] || -> equal(cross_product(converse(intersection(u,v)),w),x) member(f1(cross_product(converse(intersection(u,v)),w),x),x) member(ordered_pair(second(first(f1(cross_product(converse(intersection(u,v)),w),x))),first(first(f1(cross_product(converse(intersection(u,v)),w),x)))),v)*. % 299.97/300.42 32952[0:Res:3835.2,3811.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* equal(x,first(f1(cross_product(u,v),w))) member(f1(x,first(f1(cross_product(u,v),w))),x)* member(f1(x,first(f1(cross_product(u,v),w))),sigma(u))*. % 299.97/300.42 32951[0:Res:3835.2,3829.0] || -> equal(cross_product(u,v),w) member(f1(cross_product(u,v),w),w)* equal(first(f1(cross_product(u,v),w)),x) member(f1(first(f1(cross_product(u,v),w)),x),x)* member(f1(first(f1(cross_product(u,v),w)),x),sigma(u))*. % 299.97/300.42 32918[0:Res:3835.1,1014.0] || -> equal(cross_product(u,v),converse(cross_product(w,x))) member(first(f1(cross_product(u,v),converse(cross_product(w,x)))),u) member(first(ordered_pair(second(f1(cross_product(u,v),converse(cross_product(w,x)))),first(f1(cross_product(u,v),converse(cross_product(w,x)))))),w)*. % 299.97/300.42 32917[0:Res:3835.1,1015.0] || -> equal(cross_product(u,v),converse(cross_product(w,x))) member(first(f1(cross_product(u,v),converse(cross_product(w,x)))),u) member(second(ordered_pair(second(f1(cross_product(u,v),converse(cross_product(w,x)))),first(f1(cross_product(u,v),converse(cross_product(w,x)))))),x)*. % 299.97/300.42 33144[0:Res:3818.2,1020.0] || -> equal(u,cross_product(v,converse(intersection(w,x)))) member(f1(u,cross_product(v,converse(intersection(w,x)))),u) member(ordered_pair(second(second(f1(u,cross_product(v,converse(intersection(w,x)))))),first(second(f1(u,cross_product(v,converse(intersection(w,x))))))),w)*. % 299.97/300.42 33143[0:Res:3818.2,1021.0] || -> equal(u,cross_product(v,converse(intersection(w,x)))) member(f1(u,cross_product(v,converse(intersection(w,x)))),u) member(ordered_pair(second(second(f1(u,cross_product(v,converse(intersection(w,x)))))),first(second(f1(u,cross_product(v,converse(intersection(w,x))))))),x)*. % 299.97/300.42 33123[0:Res:3818.2,3811.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* equal(x,second(f1(u,cross_product(v,w)))) member(f1(x,second(f1(u,cross_product(v,w)))),x)* member(f1(x,second(f1(u,cross_product(v,w)))),sigma(w))*. % 299.97/300.42 33122[0:Res:3818.2,3829.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* equal(second(f1(u,cross_product(v,w))),x) member(f1(second(f1(u,cross_product(v,w))),x),x)* member(f1(second(f1(u,cross_product(v,w))),x),sigma(w))*. % 299.97/300.42 33089[0:Res:3818.1,1014.0] || -> equal(converse(cross_product(u,v)),cross_product(w,x)) member(second(f1(converse(cross_product(u,v)),cross_product(w,x))),x) member(first(ordered_pair(second(f1(converse(cross_product(u,v)),cross_product(w,x))),first(f1(converse(cross_product(u,v)),cross_product(w,x))))),u)*. % 299.97/300.42 33088[0:Res:3818.1,1015.0] || -> equal(converse(cross_product(u,v)),cross_product(w,x)) member(second(f1(converse(cross_product(u,v)),cross_product(w,x))),x) member(second(ordered_pair(second(f1(converse(cross_product(u,v)),cross_product(w,x))),first(f1(converse(cross_product(u,v)),cross_product(w,x))))),v)*. % 299.97/300.42 33310[0:Res:3817.2,1020.0] || -> equal(u,cross_product(converse(intersection(v,w)),x)) member(f1(u,cross_product(converse(intersection(v,w)),x)),u) member(ordered_pair(second(first(f1(u,cross_product(converse(intersection(v,w)),x)))),first(first(f1(u,cross_product(converse(intersection(v,w)),x))))),v)*. % 299.97/300.42 33309[0:Res:3817.2,1021.0] || -> equal(u,cross_product(converse(intersection(v,w)),x)) member(f1(u,cross_product(converse(intersection(v,w)),x)),u) member(ordered_pair(second(first(f1(u,cross_product(converse(intersection(v,w)),x)))),first(first(f1(u,cross_product(converse(intersection(v,w)),x))))),w)*. % 299.97/300.42 33289[0:Res:3817.2,3811.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* equal(x,first(f1(u,cross_product(v,w)))) member(f1(x,first(f1(u,cross_product(v,w)))),x)* member(f1(x,first(f1(u,cross_product(v,w)))),sigma(v))*. % 299.97/300.42 33288[0:Res:3817.2,3829.0] || -> equal(u,cross_product(v,w)) member(f1(u,cross_product(v,w)),u)* equal(first(f1(u,cross_product(v,w))),x) member(f1(first(f1(u,cross_product(v,w))),x),x)* member(f1(first(f1(u,cross_product(v,w))),x),sigma(v))*. % 299.97/300.42 33255[0:Res:3817.1,1014.0] || -> equal(converse(cross_product(u,v)),cross_product(w,x)) member(first(f1(converse(cross_product(u,v)),cross_product(w,x))),w) member(first(ordered_pair(second(f1(converse(cross_product(u,v)),cross_product(w,x))),first(f1(converse(cross_product(u,v)),cross_product(w,x))))),u)*. % 299.97/300.42 33254[0:Res:3817.1,1015.0] || -> equal(converse(cross_product(u,v)),cross_product(w,x)) member(first(f1(converse(cross_product(u,v)),cross_product(w,x))),w) member(second(ordered_pair(second(f1(converse(cross_product(u,v)),cross_product(w,x))),first(f1(converse(cross_product(u,v)),cross_product(w,x))))),v)*. % 299.97/300.42 33612[0:Res:4115.1,1441.0] ordered_pair_predicate(u) || -> member(u,converse(complement(converse(non_ordered_pair(v,w)))))* equal(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),w)* equal(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)*. % 299.97/300.42 34351[0:Res:1351.1,1437.0] || member(u,image(v,intersection(w,range_of(non_ordered_pair(x,y))))) -> equal(f27(f22(u,v,intersection(w,range_of(non_ordered_pair(x,y)))),non_ordered_pair(x,y)),y)** equal(f27(f22(u,v,intersection(w,range_of(non_ordered_pair(x,y)))),non_ordered_pair(x,y)),x)**. % 299.97/300.42 34313[0:Res:1286.1,1437.0] || member(u,apply(intersection(v,range_of(non_ordered_pair(w,x))),y)) -> equal(f27(f28(u,intersection(v,range_of(non_ordered_pair(w,x))),y),non_ordered_pair(w,x)),x)** equal(f27(f28(u,intersection(v,range_of(non_ordered_pair(w,x))),y),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34303[0:Res:1350.1,1437.0] || member(u,image(v,intersection(range_of(non_ordered_pair(w,x)),y))) -> equal(f27(f22(u,v,intersection(range_of(non_ordered_pair(w,x)),y)),non_ordered_pair(w,x)),x)** equal(f27(f22(u,v,intersection(range_of(non_ordered_pair(w,x)),y)),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34281[0:Res:1285.1,1437.0] || member(u,apply(intersection(range_of(non_ordered_pair(v,w)),x),y)) -> equal(f27(f28(u,intersection(range_of(non_ordered_pair(v,w)),x),y),non_ordered_pair(v,w)),w)** equal(f27(f28(u,intersection(range_of(non_ordered_pair(v,w)),x),y),non_ordered_pair(v,w)),v)**. % 299.97/300.42 34538[0:Res:1351.1,1438.0] || member(u,image(v,intersection(w,sigma(non_ordered_pair(x,y))))) -> equal(f16(f22(u,v,intersection(w,sigma(non_ordered_pair(x,y)))),non_ordered_pair(x,y)),y)** equal(f16(f22(u,v,intersection(w,sigma(non_ordered_pair(x,y)))),non_ordered_pair(x,y)),x)**. % 299.97/300.42 34485[0:Res:1286.1,1438.0] || member(u,apply(intersection(v,sigma(non_ordered_pair(w,x))),y)) -> equal(f16(f28(u,intersection(v,sigma(non_ordered_pair(w,x))),y),non_ordered_pair(w,x)),x)** equal(f16(f28(u,intersection(v,sigma(non_ordered_pair(w,x))),y),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34475[0:Res:1350.1,1438.0] || member(u,image(v,intersection(sigma(non_ordered_pair(w,x)),y))) -> equal(f16(f22(u,v,intersection(sigma(non_ordered_pair(w,x)),y)),non_ordered_pair(w,x)),x)** equal(f16(f22(u,v,intersection(sigma(non_ordered_pair(w,x)),y)),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34453[0:Res:1285.1,1438.0] || member(u,apply(intersection(sigma(non_ordered_pair(v,w)),x),y)) -> equal(f16(f28(u,intersection(sigma(non_ordered_pair(v,w)),x),y),non_ordered_pair(v,w)),w)** equal(f16(f28(u,intersection(sigma(non_ordered_pair(v,w)),x),y),non_ordered_pair(v,w)),v)**. % 299.97/300.42 34688[0:Res:1351.1,1439.0] || member(u,image(v,intersection(w,domain_of(non_ordered_pair(x,y))))) -> equal(f8(f22(u,v,intersection(w,domain_of(non_ordered_pair(x,y)))),non_ordered_pair(x,y)),y)** equal(f8(f22(u,v,intersection(w,domain_of(non_ordered_pair(x,y)))),non_ordered_pair(x,y)),x)**. % 299.97/300.42 34650[0:Res:1286.1,1439.0] || member(u,apply(intersection(v,domain_of(non_ordered_pair(w,x))),y)) -> equal(f8(f28(u,intersection(v,domain_of(non_ordered_pair(w,x))),y),non_ordered_pair(w,x)),x)** equal(f8(f28(u,intersection(v,domain_of(non_ordered_pair(w,x))),y),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34640[0:Res:1350.1,1439.0] || member(u,image(v,intersection(domain_of(non_ordered_pair(w,x)),y))) -> equal(f8(f22(u,v,intersection(domain_of(non_ordered_pair(w,x)),y)),non_ordered_pair(w,x)),x)** equal(f8(f22(u,v,intersection(domain_of(non_ordered_pair(w,x)),y)),non_ordered_pair(w,x)),w)**. % 299.97/300.42 34618[0:Res:1285.1,1439.0] || member(u,apply(intersection(domain_of(non_ordered_pair(v,w)),x),y)) -> equal(f8(f28(u,intersection(domain_of(non_ordered_pair(v,w)),x),y),non_ordered_pair(v,w)),w)** equal(f8(f28(u,intersection(domain_of(non_ordered_pair(v,w)),x),y),non_ordered_pair(v,w)),v)**. % 299.97/300.42 35090[0:Res:52.1,5025.1] || member(u,rotate_right(f29(v,w,x))) member(v,compose(w,x)) equal(y,v) -> member(ordered_pair(f10(u,f29(v,w,x)),ordered_pair(f11(u,f29(v,w,x)),f9(u,f29(v,w,x)))),first(y))*. % 299.97/300.42 35089[0:Res:58.1,5025.1] || member(u,flip_range_of(f29(v,w,x))) member(v,compose(w,x)) equal(y,v) -> member(ordered_pair(f12(u,f29(v,w,x)),ordered_pair(f14(u,f29(v,w,x)),f13(u,f29(v,w,x)))),first(y))*. % 299.97/300.42 35260[0:Res:52.1,5066.1] || member(u,rotate_right(f30(v,w,x))) member(v,compose(w,x)) equal(y,v) -> member(ordered_pair(f10(u,f30(v,w,x)),ordered_pair(f11(u,f30(v,w,x)),f9(u,f30(v,w,x)))),second(y))*. % 299.97/300.42 35259[0:Res:58.1,5066.1] || member(u,flip_range_of(f30(v,w,x))) member(v,compose(w,x)) equal(y,v) -> member(ordered_pair(f12(u,f30(v,w,x)),ordered_pair(f14(u,f30(v,w,x)),f13(u,f30(v,w,x)))),second(y))*. % 299.97/300.42 35606[0:Res:4112.2,3653.2] ordered_pair_predicate(intersection(u,v)) || member(ordered_pair(second(intersection(u,v)),first(intersection(u,v))),sigma(w)) member(x,v) member(x,u) -> member(x,sigma(converse(f16(ordered_pair(second(intersection(u,v)),first(intersection(u,v))),w))))*. % 299.97/300.42 35648[3:SSi:35596.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),sigma(v)) member(u,converse(w)) disjoint(converse(f16(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)),w)* -> . % 299.97/300.42 35765[0:Res:4111.2,3653.2] ordered_pair_predicate(intersection(u,v)) || member(ordered_pair(second(intersection(u,v)),first(intersection(u,v))),first(w)) member(x,v) member(x,u) -> member(x,sigma(converse(f4(ordered_pair(second(intersection(u,v)),first(intersection(u,v))),w))))*. % 299.97/300.42 35807[3:SSi:35755.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),first(v)) member(u,converse(w)) disjoint(converse(f4(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)),w)* -> . % 299.97/300.42 35984[0:Res:4110.2,3653.2] ordered_pair_predicate(intersection(u,v)) || member(ordered_pair(second(intersection(u,v)),first(intersection(u,v))),second(w)) member(x,v) member(x,u) -> member(x,sigma(converse(f7(ordered_pair(second(intersection(u,v)),first(intersection(u,v))),w))))*. % 299.97/300.42 36026[3:SSi:35974.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),second(v)) member(u,converse(w)) disjoint(converse(f7(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)),w)* -> . % 299.97/300.42 36560[0:Res:4622.2,1009.0] || member(u,flip_range_of(v)) subset(v,converse(w))* subset(w,x)* -> member(ordered_pair(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))),x)*. % 299.97/300.42 36988[0:Res:4770.2,1009.0] || member(u,rotate_right(v)) subset(v,converse(w))* subset(w,x)* -> member(ordered_pair(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))),x)*. % 299.97/300.42 38478[0:Res:5054.3,4633.1] little_set(u) little_set(v) || member(ordered_pair(f12(w,complement(second(ordered_pair(v,u)))),ordered_pair(f14(w,complement(second(ordered_pair(v,u)))),f13(w,complement(second(ordered_pair(v,u)))))),u)* member(w,flip_range_of(complement(second(ordered_pair(v,u))))) -> . % 299.97/300.42 38477[0:Res:5009.3,4633.1] little_set(u) little_set(v) || member(ordered_pair(f12(w,complement(first(ordered_pair(v,u)))),ordered_pair(f14(w,complement(first(ordered_pair(v,u)))),f13(w,complement(first(ordered_pair(v,u)))))),v)* member(w,flip_range_of(complement(first(ordered_pair(v,u))))) -> . % 299.97/300.42 38577[0:Res:5054.3,4781.1] little_set(u) little_set(v) || member(ordered_pair(f10(w,complement(second(ordered_pair(v,u)))),ordered_pair(f11(w,complement(second(ordered_pair(v,u)))),f9(w,complement(second(ordered_pair(v,u)))))),u)* member(w,rotate_right(complement(second(ordered_pair(v,u))))) -> . % 299.97/300.42 38576[0:Res:5009.3,4781.1] little_set(u) little_set(v) || member(ordered_pair(f10(w,complement(first(ordered_pair(v,u)))),ordered_pair(f11(w,complement(first(ordered_pair(v,u)))),f9(w,complement(first(ordered_pair(v,u)))))),v)* member(w,rotate_right(complement(first(ordered_pair(v,u))))) -> . % 299.97/300.42 39214[0:Res:3651.2,4620.1] || member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),cross_product(w,universal_set))* member(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x)* member(u,flip_range_of(v)) disjoint(restrict(x,w),v)* -> . % 299.97/300.42 39241[3:SSi:39196.0,5742.0,371.0,371.1] || member(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),w)* member(first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),x)* member(u,flip_range_of(v)) disjoint(cross_product(x,w),v)* -> . % 299.97/300.42 39734[0:Res:3651.2,4768.1] || member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),cross_product(w,universal_set))* member(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x)* member(u,rotate_right(v)) disjoint(restrict(x,w),v)* -> . % 299.97/300.42 39761[3:SSi:39716.0,5742.0,371.0,371.1] || member(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),w)* member(first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),x)* member(u,rotate_right(v)) disjoint(cross_product(x,w),v)* -> . % 299.97/300.42 40215[0:Res:6.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(x,ordered_pair(f10(u,v),f11(u,v))) member(f1(x,ordered_pair(f10(u,v),f11(u,v))),x)* member(f1(x,ordered_pair(f10(u,v),f11(u,v))),second(w))*. % 299.97/300.42 40175[0:Res:6.2,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(ordered_pair(f10(u,v),f11(u,v)),x) member(f1(ordered_pair(f10(u,v),f11(u,v)),x),x)* member(f1(ordered_pair(f10(u,v),f11(u,v)),x),second(w))*. % 299.97/300.42 40395[0:Res:6.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(x,ordered_pair(f13(u,v),f14(u,v))) member(f1(x,ordered_pair(f13(u,v),f14(u,v))),x)* member(f1(x,ordered_pair(f13(u,v),f14(u,v))),second(w))*. % 299.97/300.42 40355[0:Res:6.2,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(ordered_pair(f13(u,v),f14(u,v)),x) member(f1(ordered_pair(f13(u,v),f14(u,v)),x),x)* member(f1(ordered_pair(f13(u,v),f14(u,v)),x),second(w))*. % 299.97/300.42 40540[3:Res:1080.2,6235.0] little_set(second(f17(u,cross_product(v,ordered_pair(w,x))))) || equal(second(f17(u,cross_product(v,ordered_pair(w,x)))),non_ordered_pair(w,x)) member(first(f17(u,cross_product(v,ordered_pair(w,x)))),v)* -> subset(u,cross_product(v,ordered_pair(w,x))). % 299.97/300.42 42077[3:Res:557.1,6212.0] || member(u,range_of(cross_product(converse(second(v)),w))) member(v,x) equal(first(v),y) -> member(ordered_pair(second(first(f27(u,cross_product(converse(second(v)),w)))),first(first(f27(u,cross_product(converse(second(v)),w))))),apply(x,y))*. % 299.97/300.42 42076[3:Res:558.1,6212.0] || member(u,sigma(cross_product(converse(second(v)),w))) member(v,x) equal(first(v),y) -> member(ordered_pair(second(first(f16(u,cross_product(converse(second(v)),w)))),first(first(f16(u,cross_product(converse(second(v)),w))))),apply(x,y))*. % 299.97/300.42 42026[3:Res:545.1,6212.0] || member(u,sigma(cross_product(v,converse(second(w))))) member(w,x) equal(first(w),y) -> member(ordered_pair(second(second(f16(u,cross_product(v,converse(second(w)))))),first(second(f16(u,cross_product(v,converse(second(w))))))),apply(x,y))*. % 299.97/300.42 42025[3:Res:546.1,6212.0] || member(u,domain_of(cross_product(v,converse(second(w))))) member(w,x) equal(first(w),y) -> member(ordered_pair(second(second(f8(u,cross_product(v,converse(second(w)))))),first(second(f8(u,cross_product(v,converse(second(w))))))),apply(x,y))*. % 299.97/300.42 42928[0:Res:281.1,1442.0] || -> disjoint(u,intersection(v,apply(non_ordered_pair(w,x),y))) equal(f28(f23(u,intersection(v,apply(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y),x)** equal(f28(f23(u,intersection(v,apply(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y),w)**. % 299.97/300.42 42894[0:Res:278.1,1442.0] || -> subset(intersection(u,apply(non_ordered_pair(v,w),x)),y) equal(f28(f17(intersection(u,apply(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x),w)** equal(f28(f17(intersection(u,apply(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x),v)**. % 299.97/300.42 42891[0:Res:277.1,1442.0] || -> disjoint(intersection(u,apply(non_ordered_pair(v,w),x)),y) equal(f28(f23(intersection(u,apply(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x),w)** equal(f28(f23(intersection(u,apply(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x),v)**. % 299.97/300.42 42889[0:Res:289.1,1442.0] || -> disjoint(u,intersection(apply(non_ordered_pair(v,w),x),y)) equal(f28(f23(u,intersection(apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),w)** equal(f28(f23(u,intersection(apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),v)**. % 299.97/300.42 42858[0:Res:285.1,1442.0] || -> disjoint(intersection(apply(non_ordered_pair(u,v),w),x),y) equal(f28(f23(intersection(apply(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w),v)** equal(f28(f23(intersection(apply(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w),u)**. % 299.97/300.42 42856[0:Res:286.1,1442.0] || -> subset(intersection(apply(non_ordered_pair(u,v),w),x),y) equal(f28(f17(intersection(apply(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w),v)** equal(f28(f17(intersection(apply(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w),u)**. % 299.97/300.42 43105[0:Res:281.1,1443.0] || -> disjoint(u,intersection(v,image(w,non_ordered_pair(x,y)))) equal(f22(f23(u,intersection(v,image(w,non_ordered_pair(x,y)))),w,non_ordered_pair(x,y)),y)** equal(f22(f23(u,intersection(v,image(w,non_ordered_pair(x,y)))),w,non_ordered_pair(x,y)),x)**. % 299.97/300.42 43071[0:Res:278.1,1443.0] || -> subset(intersection(u,image(v,non_ordered_pair(w,x))),y) equal(f22(f17(intersection(u,image(v,non_ordered_pair(w,x))),y),v,non_ordered_pair(w,x)),x)** equal(f22(f17(intersection(u,image(v,non_ordered_pair(w,x))),y),v,non_ordered_pair(w,x)),w)**. % 299.97/300.42 43068[0:Res:277.1,1443.0] || -> disjoint(intersection(u,image(v,non_ordered_pair(w,x))),y) equal(f22(f23(intersection(u,image(v,non_ordered_pair(w,x))),y),v,non_ordered_pair(w,x)),x)** equal(f22(f23(intersection(u,image(v,non_ordered_pair(w,x))),y),v,non_ordered_pair(w,x)),w)**. % 299.97/300.42 43066[0:Res:289.1,1443.0] || -> disjoint(u,intersection(image(v,non_ordered_pair(w,x)),y)) equal(f22(f23(u,intersection(image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),x)** equal(f22(f23(u,intersection(image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),w)**. % 299.97/300.42 43035[0:Res:285.1,1443.0] || -> disjoint(intersection(image(u,non_ordered_pair(v,w)),x),y) equal(f22(f23(intersection(image(u,non_ordered_pair(v,w)),x),y),u,non_ordered_pair(v,w)),w)** equal(f22(f23(intersection(image(u,non_ordered_pair(v,w)),x),y),u,non_ordered_pair(v,w)),v)**. % 299.97/300.42 43033[0:Res:286.1,1443.0] || -> subset(intersection(image(u,non_ordered_pair(v,w)),x),y) equal(f22(f17(intersection(image(u,non_ordered_pair(v,w)),x),y),u,non_ordered_pair(v,w)),w)** equal(f22(f17(intersection(image(u,non_ordered_pair(v,w)),x),y),u,non_ordered_pair(v,w)),v)**. % 299.97/300.42 43401[0:Res:4108.2,1140.1] ordered_pair_predicate(f4(u,v)) || member(ordered_pair(second(f4(u,v)),first(f4(u,v))),apply(w,x)) member(u,first(v)) -> member(u,sigma(converse(second(f28(ordered_pair(second(f4(u,v)),first(f4(u,v))),w,x)))))*. % 299.97/300.42 43400[0:Res:4108.2,1139.1] ordered_pair_predicate(f7(u,v)) || member(ordered_pair(second(f7(u,v)),first(f7(u,v))),apply(w,x)) member(u,second(v)) -> member(u,sigma(converse(second(f28(ordered_pair(second(f7(u,v)),first(f7(u,v))),w,x)))))*. % 299.97/300.42 43479[3:SSi:43410.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),apply(v,w)) disjoint(converse(second(f28(ordered_pair(second(ordered_pair(f19(u),f20(u))),first(ordered_pair(f19(u),f20(u)))),v,w))),u)* -> single_valued_set(u). % 299.97/300.42 43480[3:SSi:43409.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),apply(v,w)) disjoint(converse(second(f28(ordered_pair(second(ordered_pair(f19(u),f21(u))),first(ordered_pair(f19(u),f21(u)))),v,w))),u)* -> single_valued_set(u). % 299.97/300.42 43481[3:SSi:43407.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),apply(v,w)) member(u,converse(complement(converse(second(f28(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v,w))))))* -> . % 299.97/300.42 44351[3:Res:4635.1,6192.1] || member(u,flip_range_of(intersection(v,second(w)))) member(w,x) equal(first(w),y) -> member(ordered_pair(f12(u,intersection(v,second(w))),ordered_pair(f14(u,intersection(v,second(w))),f13(u,intersection(v,second(w))))),apply(x,y))*. % 299.97/300.42 44606[3:Res:4634.1,6192.1] || member(u,flip_range_of(intersection(second(v),w))) member(v,x) equal(first(v),y) -> member(ordered_pair(f12(u,intersection(second(v),w)),ordered_pair(f14(u,intersection(second(v),w)),f13(u,intersection(second(v),w)))),apply(x,y))*. % 299.97/300.42 45125[3:Res:4783.1,6192.1] || member(u,rotate_right(intersection(v,second(w)))) member(w,x) equal(first(w),y) -> member(ordered_pair(f10(u,intersection(v,second(w))),ordered_pair(f11(u,intersection(v,second(w))),f9(u,intersection(v,second(w))))),apply(x,y))*. % 299.97/300.42 46252[3:Res:4782.1,6192.1] || member(u,rotate_right(intersection(second(v),w))) member(v,x) equal(first(v),y) -> member(ordered_pair(f10(u,intersection(second(v),w)),ordered_pair(f11(u,intersection(second(v),w)),f9(u,intersection(second(v),w)))),apply(x,y))*. % 299.97/300.42 47419[3:Res:3837.1,6192.1] || member(u,v) equal(first(u),w) -> equal(non_ordered_pair(x,y),second(u)) equal(f1(non_ordered_pair(x,y),second(u)),y) equal(f1(non_ordered_pair(x,y),second(u)),x) member(f1(non_ordered_pair(x,y),second(u)),apply(v,w))*. % 299.97/300.42 47864[3:Res:3819.1,6192.1] || member(u,v) equal(first(u),w) -> equal(second(u),non_ordered_pair(x,y)) equal(f1(second(u),non_ordered_pair(x,y)),y) equal(f1(second(u),non_ordered_pair(x,y)),x) member(f1(second(u),non_ordered_pair(x,y)),apply(v,w))*. % 299.97/300.42 55849[16:Rew:54986.0,48712.3] little_set(u) || member(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),apply(v,w)) disjoint(converse(second(f28(ordered_pair(second(ordered_pair(u,f26(u))),first(ordered_pair(u,f26(u)))),v,w))),f25)* -> equal(u,a). % 299.97/300.42 58805[16:Rew:54986.0,51599.0] || -> equal(cross_product(apply(non_ordered_pair(u,v),w),x),a) equal(f28(first(f24(cross_product(apply(non_ordered_pair(u,v),w),x))),non_ordered_pair(u,v),w),v)** equal(f28(first(f24(cross_product(apply(non_ordered_pair(u,v),w),x))),non_ordered_pair(u,v),w),u)**. % 299.97/300.42 58806[16:Rew:54986.0,51600.0] || -> equal(cross_product(u,apply(non_ordered_pair(v,w),x)),a) equal(f28(second(f24(cross_product(u,apply(non_ordered_pair(v,w),x)))),non_ordered_pair(v,w),x),w)** equal(f28(second(f24(cross_product(u,apply(non_ordered_pair(v,w),x)))),non_ordered_pair(v,w),x),v)**. % 299.97/300.42 58807[16:Rew:54986.0,51607.0] || -> equal(cross_product(image(u,non_ordered_pair(v,w)),x),a) equal(f22(first(f24(cross_product(image(u,non_ordered_pair(v,w)),x))),u,non_ordered_pair(v,w)),w)** equal(f22(first(f24(cross_product(image(u,non_ordered_pair(v,w)),x))),u,non_ordered_pair(v,w)),v)**. % 299.97/300.42 58808[16:Rew:54986.0,51608.0] || -> equal(cross_product(u,image(v,non_ordered_pair(w,x))),a) equal(f22(second(f24(cross_product(u,image(v,non_ordered_pair(w,x))))),v,non_ordered_pair(w,x)),x)** equal(f22(second(f24(cross_product(u,image(v,non_ordered_pair(w,x))))),v,non_ordered_pair(w,x)),w)**. % 299.97/300.42 58809[16:Rew:54986.0,51632.0] || -> equal(intersection(u,image(non_ordered_pair(v,w),x)),a) equal(first(f22(f24(intersection(u,image(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x)),w)** equal(first(f22(f24(intersection(u,image(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x)),v)**. % 299.97/300.42 58810[16:Rew:54986.0,51633.0] || -> equal(intersection(image(non_ordered_pair(u,v),w),x),a) equal(first(f22(f24(intersection(image(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f24(intersection(image(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w)),u)**. % 299.97/300.42 65863[0:Res:67.1,5225.4] little_set(u) single_valued_set(f16(ordered_pair(f4(v,w),u),x)) || member(ordered_pair(f4(v,w),u),sigma(x)) member(v,first(w)) member(w,f16(ordered_pair(f4(v,w),u),x))* -> equal(u,f5(v,w)). % 299.97/300.42 65862[0:Res:21.1,5225.4] little_set(u) single_valued_set(f4(ordered_pair(f4(v,w),u),x)) || member(ordered_pair(f4(v,w),u),first(x)) member(v,first(w)) member(w,f4(ordered_pair(f4(v,w),u),x))* -> equal(u,f5(v,w)). % 299.97/300.42 65861[0:Res:26.1,5225.4] little_set(u) single_valued_set(f7(ordered_pair(f4(v,w),u),x)) || member(ordered_pair(f4(v,w),u),second(x)) member(v,first(w)) member(w,f7(ordered_pair(f4(v,w),u),x))* -> equal(u,f5(v,w)). % 299.97/300.42 65893[0:MRR:65874.0,1545.1] single_valued_set(u) || member(f4(v,w),image(x,y)) member(f22(f4(v,w),x,y),converse(u))* member(v,first(w)) member(w,u) -> equal(first(f22(f4(v,w),x,y)),f5(v,w)). % 299.97/300.42 65984[0:Res:67.1,5226.4] little_set(u) single_valued_set(f16(ordered_pair(f6(v,w),u),x)) || member(ordered_pair(f6(v,w),u),sigma(x)) member(v,second(w)) member(w,f16(ordered_pair(f6(v,w),u),x))* -> equal(u,f7(v,w)). % 299.97/300.42 65983[0:Res:21.1,5226.4] little_set(u) single_valued_set(f4(ordered_pair(f6(v,w),u),x)) || member(ordered_pair(f6(v,w),u),first(x)) member(v,second(w)) member(w,f4(ordered_pair(f6(v,w),u),x))* -> equal(u,f7(v,w)). % 299.97/300.42 65982[0:Res:26.1,5226.4] little_set(u) single_valued_set(f7(ordered_pair(f6(v,w),u),x)) || member(ordered_pair(f6(v,w),u),second(x)) member(v,second(w)) member(w,f7(ordered_pair(f6(v,w),u),x))* -> equal(u,f7(v,w)). % 299.97/300.42 66014[0:MRR:65995.0,1545.1] single_valued_set(u) || member(f6(v,w),image(x,y)) member(f22(f6(v,w),x,y),converse(u))* member(v,second(w)) member(w,u) -> equal(first(f22(f6(v,w),x,y)),f7(v,w)). % 299.97/300.42 66107[0:MRR:66095.0,1545.1] single_valued_set(u) || member(f10(v,u),image(w,x)) member(f22(f10(v,u),w,x),converse(u))* member(v,rotate_right(u)) -> equal(first(f22(f10(v,u),w,x)),ordered_pair(f11(v,u),f9(v,u)))*. % 299.97/300.42 66205[0:MRR:66191.0,1545.1] single_valued_set(u) || member(f12(v,u),image(w,x)) member(f22(f12(v,u),w,x),converse(u))* member(v,flip_range_of(u)) -> equal(first(f22(f12(v,u),w,x)),ordered_pair(f14(v,u),f13(v,u)))*. % 299.97/300.42 66423[0:MRR:66269.0,66269.1,83.1,84.1] little_set(u) || member(v,w) member(ordered_pair(u,f19(non_ordered_pair(x,v))),y) -> single_valued_set(non_ordered_pair(x,v)) equal(ordered_pair(f19(non_ordered_pair(x,v)),f20(non_ordered_pair(x,v))),x)** member(ordered_pair(u,f20(non_ordered_pair(x,v))),compose(y,w))*. % 299.97/300.42 66424[0:MRR:66268.0,66268.1,83.1,84.1] little_set(u) || member(v,w) member(ordered_pair(u,f19(non_ordered_pair(v,x))),y) -> single_valued_set(non_ordered_pair(v,x)) equal(ordered_pair(f19(non_ordered_pair(v,x)),f20(non_ordered_pair(v,x))),x)** member(ordered_pair(u,f20(non_ordered_pair(v,x))),compose(y,w))*. % 299.97/300.42 66425[0:MRR:66267.0,66267.1,83.1,85.1] little_set(u) || member(v,w) member(ordered_pair(u,f19(non_ordered_pair(x,v))),y) -> single_valued_set(non_ordered_pair(x,v)) equal(ordered_pair(f19(non_ordered_pair(x,v)),f21(non_ordered_pair(x,v))),x)** member(ordered_pair(u,f21(non_ordered_pair(x,v))),compose(y,w))*. % 299.97/300.42 66426[0:MRR:66266.0,66266.1,83.1,85.1] little_set(u) || member(v,w) member(ordered_pair(u,f19(non_ordered_pair(v,x))),y) -> single_valued_set(non_ordered_pair(v,x)) equal(ordered_pair(f19(non_ordered_pair(v,x)),f21(non_ordered_pair(v,x))),x)** member(ordered_pair(u,f21(non_ordered_pair(v,x))),compose(y,w))*. % 299.97/300.42 66623[0:Res:33.2,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f2(u),ordered_pair(f3(u),v)),x)* member(ordered_pair(f2(u),ordered_pair(f3(u),v)),y)* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(intersection(y,x)))*. % 299.97/300.42 66622[0:Res:120.1,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f2(u),ordered_pair(f3(u),v)),apply(x,y)) equal(w,ordered_pair(v,u)) -> member(w,rotate_right(second(f28(ordered_pair(f2(u),ordered_pair(f3(u),v)),x,y))))*. % 299.97/300.42 66783[0:Res:33.2,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f3(u),f2(u))),x)* member(ordered_pair(v,ordered_pair(f3(u),f2(u))),y)* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(intersection(y,x)))*. % 299.97/300.42 66782[0:Res:120.1,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f3(u),f2(u))),apply(x,y)) equal(w,ordered_pair(v,u)) -> member(w,flip_range_of(second(f28(ordered_pair(v,ordered_pair(f3(u),f2(u))),x,y))))*. % 299.97/300.42 67123[0:Res:3651.2,5162.4] little_set(u) || member(first(f27(v,w)),cross_product(x,universal_set))* member(first(f27(v,w)),y)* member(v,range_of(w)) member(f27(v,w),z)* equal(v,u)* -> member(u,image(restrict(y,x),z))*. % 299.97/300.42 67122[0:Res:384.1,5162.4] little_set(first(f27(u,v))) little_set(w) || member(u,range_of(v)) member(f27(u,v),x)* equal(u,w)* -> member(first(f27(u,v)),union(y,z))* member(w,image(intersection(complement(y),complement(z)),x))*. % 299.97/300.42 67191[16:Res:55527.1,5361.3] little_set(u) || member(v,rotate_right(w)) equal(u,v) -> equal(singleton_set(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w)))),a) member(u,rotate_right(singleton_set(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))))))*. % 299.97/300.42 67278[16:Res:55527.1,5362.3] little_set(u) || member(v,flip_range_of(w)) equal(u,v) -> equal(singleton_set(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w)))),a) member(u,rotate_right(singleton_set(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))))))*. % 299.97/300.42 67343[16:Res:55527.1,6056.3] little_set(u) || member(v,rotate_right(w)) equal(u,v) -> equal(singleton_set(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w)))),a) member(u,flip_range_of(singleton_set(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))))))*. % 299.97/300.42 67403[16:Res:55527.1,6057.3] little_set(u) || member(v,flip_range_of(w)) equal(u,v) -> equal(singleton_set(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w)))),a) member(u,flip_range_of(singleton_set(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))))))*. % 299.97/300.42 68122[2:Res:5257.5,644.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,second(f8(f33(y,w,x,u,v),z)))* member(f33(y,w,x,u,v),domain_of(z)) -> homomorphism(y,w,x,u,v). % 299.97/300.42 68102[0:Res:5257.5,8.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,non_ordered_pair(z,x1))* -> homomorphism(y,w,x,u,v) equal(f33(y,w,x,u,v),x1)* equal(f33(y,w,x,u,v),z)*. % 299.97/300.42 68225[2:Res:5302.5,644.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,second(f8(f32(y,w,x,u,v),z)))* member(f32(y,w,x,u,v),domain_of(z)) -> homomorphism(y,w,x,u,v). % 299.97/300.42 68205[0:Res:5302.5,8.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,non_ordered_pair(z,x1))* -> homomorphism(y,w,x,u,v) equal(f32(y,w,x,u,v),x1)* equal(f32(y,w,x,u,v),z)*. % 299.97/300.42 68425[16:MRR:68411.0,48.1] little_set(f26(f9(u,v))) single_valued_set(sigma(w)) || member(f25,w) member(u,rotate_right(v)) member(u,sigma(w))* -> equal(f9(u,v),a) equal(ordered_pair(f10(u,v),f11(u,v)),f26(f9(u,v)))**. % 299.97/300.42 68426[0:SSi:68397.0,371.0] little_set(u) single_valued_set(intersection(complement(v),complement(w))) || member(x,rotate_right(y)) member(x,intersection(complement(v),complement(w))) -> member(ordered_pair(f9(x,y),u),union(v,w))* equal(u,ordered_pair(f10(x,y),f11(x,y)))*. % 299.97/300.42 68428[0:MRR:68427.2,48.1] little_set(u) little_set(v) single_valued_set(flip_range_of(w)) || member(ordered_pair(f9(x,y),ordered_pair(u,v)),w)* member(x,rotate_right(y)) member(x,flip_range_of(w)) -> equal(ordered_pair(v,u),ordered_pair(f10(x,y),f11(x,y)))*. % 299.97/300.42 68430[0:MRR:68429.2,48.1] little_set(u) little_set(v) single_valued_set(rotate_right(w)) || member(ordered_pair(v,ordered_pair(u,f9(x,y))),w)* member(x,rotate_right(y)) member(x,rotate_right(w)) -> equal(ordered_pair(v,u),ordered_pair(f10(x,y),f11(x,y)))*. % 299.97/300.42 68683[16:MRR:68665.0,54.1] little_set(f26(f12(u,v))) single_valued_set(sigma(w)) || member(f25,w) member(u,flip_range_of(v)) member(u,sigma(w))* -> equal(f12(u,v),a) equal(ordered_pair(f13(u,v),f14(u,v)),f26(f12(u,v)))**. % 299.97/300.42 68686[0:SSi:68647.0,371.0] little_set(u) single_valued_set(intersection(complement(v),complement(w))) || member(x,flip_range_of(y)) member(x,intersection(complement(v),complement(w))) -> member(ordered_pair(f12(x,y),u),union(v,w))* equal(u,ordered_pair(f13(x,y),f14(x,y)))*. % 299.97/300.42 68688[0:MRR:68687.2,54.1] little_set(u) little_set(v) single_valued_set(flip_range_of(w)) || member(ordered_pair(f12(x,y),ordered_pair(u,v)),w)* member(x,flip_range_of(y)) member(x,flip_range_of(w)) -> equal(ordered_pair(v,u),ordered_pair(f13(x,y),f14(x,y)))*. % 299.97/300.42 68690[0:MRR:68689.2,54.1] little_set(u) little_set(v) single_valued_set(rotate_right(w)) || member(ordered_pair(v,ordered_pair(u,f12(x,y))),w)* member(x,flip_range_of(y)) member(x,rotate_right(w)) -> equal(ordered_pair(v,u),ordered_pair(f13(x,y),f14(x,y)))*. % 299.97/300.42 68783[0:MRR:68767.0,5259.4] || equal(f33(u,complement(ordered_pair(v,w)),x,y,z),singleton_set(v))** closed(y,z) closed(complement(ordered_pair(v,w)),x) maps(u,complement(ordered_pair(v,w)),y) -> homomorphism(u,complement(ordered_pair(v,w)),x,y,z). % 299.97/300.42 68844[0:MRR:68828.0,5304.4] || equal(f32(u,complement(ordered_pair(v,w)),x,y,z),singleton_set(v))** closed(y,z) closed(complement(ordered_pair(v,w)),x) maps(u,complement(ordered_pair(v,w)),y) -> homomorphism(u,complement(ordered_pair(v,w)),x,y,z). % 299.97/300.42 69170[0:Res:5054.3,5255.3] little_set(u) little_set(v) || member(f33(w,x,y,z,x1),u)* closed(z,x1) closed(x,y) maps(w,x,z) disjoint(second(ordered_pair(v,u)),x)* -> homomorphism(w,x,y,z,x1). % 299.97/300.42 69169[0:Res:5009.3,5255.3] little_set(u) little_set(v) || member(f33(w,x,y,z,x1),v)* closed(z,x1) closed(x,y) maps(w,x,z) disjoint(first(ordered_pair(v,u)),x)* -> homomorphism(w,x,y,z,x1). % 299.97/300.42 69408[0:Res:5054.3,5300.3] little_set(u) little_set(v) || member(f32(w,x,y,z,x1),u)* closed(z,x1) closed(x,y) maps(w,x,z) disjoint(second(ordered_pair(v,u)),x)* -> homomorphism(w,x,y,z,x1). % 299.97/300.42 69407[0:Res:5009.3,5300.3] little_set(u) little_set(v) || member(f32(w,x,y,z,x1),v)* closed(z,x1) closed(x,y) maps(w,x,z) disjoint(first(ordered_pair(v,u)),x)* -> homomorphism(w,x,y,z,x1). % 299.97/300.42 69745[3:Rew:95.1,69713.1] || member(u,image(v,w)) member(x,rotate_right(u)) member(f22(u,v,w),y)* equal(first(f22(u,v,w)),z)* -> member(ordered_pair(f10(x,u),ordered_pair(f11(x,u),f9(x,u))),apply(y,z))*. % 299.97/300.42 70042[3:Rew:95.1,70009.1] || member(u,image(v,w)) member(x,flip_range_of(u)) member(f22(u,v,w),y)* equal(first(f22(u,v,w)),z)* -> member(ordered_pair(f12(x,u),ordered_pair(f14(x,u),f13(x,u))),apply(y,z))*. % 299.97/300.42 70983[16:Res:55527.1,6080.4] little_set(u) little_set(v) || member(w,first(x)) equal(v,x) member(ordered_pair(f4(w,x),u),y) -> equal(singleton_set(ordered_pair(u,f5(w,x))),a) member(v,compose(y,singleton_set(ordered_pair(u,f5(w,x)))))*. % 299.97/300.42 71014[0:SSi:70987.0,371.0] little_set(u) little_set(v) || member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),y)* -> member(ordered_pair(u,f5(w,x)),union(z,x1))* member(v,compose(y,intersection(complement(z),complement(x1))))*. % 299.97/300.42 71054[16:Res:55527.1,6081.4] little_set(u) little_set(v) || member(w,second(x)) equal(v,x) member(ordered_pair(f6(w,x),u),y) -> equal(singleton_set(ordered_pair(u,f7(w,x))),a) member(v,compose(y,singleton_set(ordered_pair(u,f7(w,x)))))*. % 299.97/300.42 71085[0:SSi:71058.0,371.0] little_set(u) little_set(v) || member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),y)* -> member(ordered_pair(u,f7(w,x)),union(z,x1))* member(v,compose(y,intersection(complement(z),complement(x1))))*. % 299.97/300.42 71190[0:SSi:71165.0,371.0,371.0] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),union(z,x1))* member(v,rotate_right(intersection(complement(z),complement(x1))))*. % 299.97/300.42 71323[0:SSi:71277.0,371.0] little_set(u) || member(v,compose(w,x)) equal(u,ordered_pair(ordered_pair(f30(v,w,x),f29(v,w,x)),v))* member(singleton_set(singleton_set(ordered_pair(f30(v,w,x),f29(v,w,x)))),y)* -> member(u,flip_range_of(y))*. % 299.97/300.42 71325[0:SSi:71295.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),union(z,x1))* member(v,flip_range_of(intersection(complement(z),complement(x1))))*. % 299.97/300.42 71385[0:Res:5263.4,34.1] || closed(u,v) closed(cross_product(w,complement(x)),y) maps(z,cross_product(w,complement(x)),u) member(second(f33(z,cross_product(w,complement(x)),y,u,v)),x)* -> homomorphism(z,cross_product(w,complement(x)),y,u,v). % 299.97/300.42 71370[6:Res:5263.4,10804.1] || closed(u,v) closed(cross_product(w,rotate_right(x)),y) maps(z,cross_product(w,rotate_right(x)),u) equal(second(f33(z,cross_product(w,rotate_right(x)),y,u,v)),universal_set)** -> homomorphism(z,cross_product(w,rotate_right(x)),y,u,v). % 299.97/300.42 71368[6:Res:5263.4,10803.1] || closed(u,v) closed(cross_product(w,flip_range_of(x)),y) maps(z,cross_product(w,flip_range_of(x)),u) equal(second(f33(z,cross_product(w,flip_range_of(x)),y,u,v)),universal_set)** -> homomorphism(z,cross_product(w,flip_range_of(x)),y,u,v). % 299.97/300.42 71362[0:Res:5263.4,68.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) member(x,x1) -> homomorphism(z,cross_product(w,x),y,u,v) member(second(f33(z,cross_product(w,x),y,u,v)),sigma(x1))*. % 299.97/300.42 71361[0:Res:5263.4,98.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) member(second(f33(z,cross_product(w,x),y,u,v)),x1)* disjoint(x1,x) -> homomorphism(z,cross_product(w,x),y,u,v). % 299.97/300.42 71490[0:Res:5262.4,34.1] || closed(u,v) closed(cross_product(complement(w),x),y) maps(z,cross_product(complement(w),x),u) member(first(f33(z,cross_product(complement(w),x),y,u,v)),w)* -> homomorphism(z,cross_product(complement(w),x),y,u,v). % 299.97/300.42 71475[6:Res:5262.4,10804.1] || closed(u,v) closed(cross_product(rotate_right(w),x),y) maps(z,cross_product(rotate_right(w),x),u) equal(first(f33(z,cross_product(rotate_right(w),x),y,u,v)),universal_set)** -> homomorphism(z,cross_product(rotate_right(w),x),y,u,v). % 299.97/300.42 71473[6:Res:5262.4,10803.1] || closed(u,v) closed(cross_product(flip_range_of(w),x),y) maps(z,cross_product(flip_range_of(w),x),u) equal(first(f33(z,cross_product(flip_range_of(w),x),y,u,v)),universal_set)** -> homomorphism(z,cross_product(flip_range_of(w),x),y,u,v). % 299.97/300.42 71467[0:Res:5262.4,68.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) member(w,x1) -> homomorphism(z,cross_product(w,x),y,u,v) member(first(f33(z,cross_product(w,x),y,u,v)),sigma(x1))*. % 299.97/300.42 71466[0:Res:5262.4,98.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) member(first(f33(z,cross_product(w,x),y,u,v)),x1)* disjoint(x1,w) -> homomorphism(z,cross_product(w,x),y,u,v). % 299.97/300.42 71636[0:Res:5308.4,34.1] || closed(u,v) closed(cross_product(w,complement(x)),y) maps(z,cross_product(w,complement(x)),u) member(second(f32(z,cross_product(w,complement(x)),y,u,v)),x)* -> homomorphism(z,cross_product(w,complement(x)),y,u,v). % 299.97/300.42 71621[6:Res:5308.4,10804.1] || closed(u,v) closed(cross_product(w,rotate_right(x)),y) maps(z,cross_product(w,rotate_right(x)),u) equal(second(f32(z,cross_product(w,rotate_right(x)),y,u,v)),universal_set)** -> homomorphism(z,cross_product(w,rotate_right(x)),y,u,v). % 299.97/300.42 71619[6:Res:5308.4,10803.1] || closed(u,v) closed(cross_product(w,flip_range_of(x)),y) maps(z,cross_product(w,flip_range_of(x)),u) equal(second(f32(z,cross_product(w,flip_range_of(x)),y,u,v)),universal_set)** -> homomorphism(z,cross_product(w,flip_range_of(x)),y,u,v). % 299.97/300.42 71613[0:Res:5308.4,68.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) member(x,x1) -> homomorphism(z,cross_product(w,x),y,u,v) member(second(f32(z,cross_product(w,x),y,u,v)),sigma(x1))*. % 299.97/300.42 71612[0:Res:5308.4,98.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) member(second(f32(z,cross_product(w,x),y,u,v)),x1)* disjoint(x1,x) -> homomorphism(z,cross_product(w,x),y,u,v). % 299.97/300.42 71889[0:Res:5307.4,34.1] || closed(u,v) closed(cross_product(complement(w),x),y) maps(z,cross_product(complement(w),x),u) member(first(f32(z,cross_product(complement(w),x),y,u,v)),w)* -> homomorphism(z,cross_product(complement(w),x),y,u,v). % 299.97/300.42 71874[6:Res:5307.4,10804.1] || closed(u,v) closed(cross_product(rotate_right(w),x),y) maps(z,cross_product(rotate_right(w),x),u) equal(first(f32(z,cross_product(rotate_right(w),x),y,u,v)),universal_set)** -> homomorphism(z,cross_product(rotate_right(w),x),y,u,v). % 299.97/300.42 71872[6:Res:5307.4,10803.1] || closed(u,v) closed(cross_product(flip_range_of(w),x),y) maps(z,cross_product(flip_range_of(w),x),u) equal(first(f32(z,cross_product(flip_range_of(w),x),y,u,v)),universal_set)** -> homomorphism(z,cross_product(flip_range_of(w),x),y,u,v). % 299.97/300.42 71866[0:Res:5307.4,68.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) member(w,x1) -> homomorphism(z,cross_product(w,x),y,u,v) member(first(f32(z,cross_product(w,x),y,u,v)),sigma(x1))*. % 299.97/300.42 71865[0:Res:5307.4,98.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) member(first(f32(z,cross_product(w,x),y,u,v)),x1)* disjoint(x1,w) -> homomorphism(z,cross_product(w,x),y,u,v). % 299.97/300.42 72594[0:SSi:72572.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),non_ordered_pair(y,z))* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(ordered_pair(y,z)))*. % 299.97/300.42 73009[0:SSi:72987.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),non_ordered_pair(y,z))* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(ordered_pair(y,z)))*. % 299.97/300.42 73241[0:SSi:73215.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),non_ordered_pair(y,z))* member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(ordered_pair(y,z)))*. % 299.97/300.42 73434[0:SSi:73408.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),non_ordered_pair(y,z))* member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(ordered_pair(y,z)))*. % 299.97/300.42 73960[16:Res:56196.1,6082.4] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),a) member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(v,compose(z,ordered_pair(universal_set,x1)))*. % 299.97/300.42 73989[0:SSi:73938.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),z)* member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),x1)* -> member(v,compose(x1,non_ordered_pair(x2,z)))*. % 299.97/300.42 73990[0:SSi:73937.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),z)* member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),x1)* -> member(v,compose(x1,non_ordered_pair(z,x2)))*. % 299.97/300.42 74070[0:SSi:74042.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),y)* member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),z)* -> member(v,compose(z,singleton_set(y)))*. % 299.97/300.42 74071[0:SSi:74041.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || subset(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),y)* member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),z)* -> member(v,compose(z,powerset(y)))*. % 299.97/300.42 74077[0:MRR:74076.0,74076.1,50.1,49.1] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f11(w,x),f10(w,x))),y)* member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),z)* -> member(v,compose(z,flip_range_of(y)))*. % 299.97/300.42 74079[0:MRR:74078.0,74078.1,50.1,49.1] little_set(u) little_set(v) || member(ordered_pair(f10(w,x),ordered_pair(f11(w,x),u)),y)* member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),z)* -> member(v,compose(z,rotate_right(y)))*. % 299.97/300.42 74180[0:SSi:74152.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),y)* member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),z)* -> member(v,compose(z,singleton_set(y)))*. % 299.97/300.42 74181[0:SSi:74151.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || subset(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),y)* member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),z)* -> member(v,compose(z,powerset(y)))*. % 299.97/300.42 74187[0:MRR:74186.0,74186.1,56.1,55.1] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f14(w,x),f13(w,x))),y)* member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),z)* -> member(v,compose(z,flip_range_of(y)))*. % 299.97/300.42 74189[0:MRR:74188.0,74188.1,56.1,55.1] little_set(u) little_set(v) || member(ordered_pair(f13(w,x),ordered_pair(f14(w,x),u)),y)* member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),z)* -> member(v,compose(z,rotate_right(y)))*. % 299.97/300.42 74240[0:SoR:5201.3,90.1] little_set(u) little_set(v) little_set(w) function(second(f28(ordered_pair(w,u),x,y))) || member(ordered_pair(w,u),apply(x,y)) member(ordered_pair(w,v),second(f28(ordered_pair(w,u),x,y)))* -> equal(v,u). % 299.97/300.42 87722[16:Res:82665.1,6086.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),a)** member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(v,compose(y,sigma(infinity)))*. % 299.97/300.42 87721[16:Res:82665.1,6084.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),a)** member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(v,compose(y,sigma(infinity)))*. % 299.97/300.42 87876[16:Res:82681.1,6086.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),a)** member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(v,compose(y,successor(a)))*. % 299.97/300.42 87875[16:Res:82681.1,6084.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),a)** member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(v,compose(y,successor(a)))*. % 299.97/300.42 88175[3:Res:82671.1,6081.4] little_set(u) little_set(v) || equal(ordered_pair(u,f7(w,x)),infinity) member(w,second(x)) equal(v,x) member(ordered_pair(f6(w,x),u),y) -> member(v,compose(y,singleton_set(ordered_pair(u,f7(w,x)))))*. % 299.97/300.42 88174[3:Res:82671.1,6080.4] little_set(u) little_set(v) || equal(ordered_pair(u,f5(w,x)),infinity) member(w,first(x)) equal(v,x) member(ordered_pair(f4(w,x),u),y) -> member(v,compose(y,singleton_set(ordered_pair(u,f5(w,x)))))*. % 299.97/300.42 88162[3:Res:82671.1,6057.3] little_set(u) || equal(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),infinity) member(v,flip_range_of(w)) equal(u,v) -> member(u,flip_range_of(singleton_set(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))))))*. % 299.97/300.42 88161[3:Res:82671.1,5362.3] little_set(u) || equal(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),infinity) member(v,flip_range_of(w)) equal(u,v) -> member(u,rotate_right(singleton_set(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))))))*. % 299.97/300.42 88160[3:Res:82671.1,6056.3] little_set(u) || equal(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),infinity) member(v,rotate_right(w)) equal(u,v) -> member(u,flip_range_of(singleton_set(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))))))*. % 299.97/300.42 88159[3:Res:82671.1,5361.3] little_set(u) || equal(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),infinity) member(v,rotate_right(w)) equal(u,v) -> member(u,rotate_right(singleton_set(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))))))*. % 299.97/300.42 88432[16:Res:57853.0,1558.0] || -> equal(complement(complement(image(non_ordered_pair(u,v),w))),a) equal(first(f22(f24(complement(complement(image(non_ordered_pair(u,v),w)))),non_ordered_pair(u,v),w)),v)** equal(first(f22(f24(complement(complement(image(non_ordered_pair(u,v),w)))),non_ordered_pair(u,v),w)),u)**. % 299.97/300.42 93021[16:Res:5311.4,56181.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) disjoint(w,f32(y,powerset(w),x,u,v))* -> homomorphism(y,powerset(w),x,u,v) equal(f32(y,powerset(w),x,u,v),a). % 299.97/300.42 93020[16:Res:5266.4,56181.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) disjoint(w,f33(y,powerset(w),x,u,v))* -> homomorphism(y,powerset(w),x,u,v) equal(f33(y,powerset(w),x,u,v),a). % 299.97/300.42 94228[16:Res:57719.1,1558.0] || -> equal(restrict(image(non_ordered_pair(u,v),w),x),a) equal(first(f22(f24(restrict(image(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f24(restrict(image(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w)),u)**. % 299.97/300.42 97054[0:Res:21407.1,5162.4] ordered_pair_predicate(first(f27(u,v))) little_set(w) || member(u,range_of(v)) member(f27(u,v),x) equal(u,w) -> member(w,image(converse(powerset(ordered_pair(second(first(f27(u,v))),first(first(f27(u,v)))))),x))*. % 299.97/300.42 97125[0:SSi:97013.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) single_valued_set(converse(powerset(ordered_pair(second(ordered_pair(w,u)),first(ordered_pair(w,u)))))) || member(ordered_pair(w,v),converse(powerset(ordered_pair(second(ordered_pair(w,u)),first(ordered_pair(w,u))))))* -> equal(v,u). % 299.97/300.42 98445[0:Res:8090.0,1442.0] || -> subset(complement(complement(apply(non_ordered_pair(u,v),w))),x) equal(f28(f17(complement(complement(apply(non_ordered_pair(u,v),w))),x),non_ordered_pair(u,v),w),v)** equal(f28(f17(complement(complement(apply(non_ordered_pair(u,v),w))),x),non_ordered_pair(u,v),w),u)**. % 299.97/300.42 98421[0:Res:8090.0,1443.0] || -> subset(complement(complement(image(u,non_ordered_pair(v,w)))),x) equal(f22(f17(complement(complement(image(u,non_ordered_pair(v,w)))),x),u,non_ordered_pair(v,w)),w)** equal(f22(f17(complement(complement(image(u,non_ordered_pair(v,w)))),x),u,non_ordered_pair(v,w)),v)**. % 299.97/300.42 98561[0:Res:9082.0,1442.0] || -> disjoint(u,complement(complement(apply(non_ordered_pair(v,w),x)))) equal(f28(f23(u,complement(complement(apply(non_ordered_pair(v,w),x)))),non_ordered_pair(v,w),x),w)** equal(f28(f23(u,complement(complement(apply(non_ordered_pair(v,w),x)))),non_ordered_pair(v,w),x),v)**. % 299.97/300.42 98537[0:Res:9082.0,1443.0] || -> disjoint(u,complement(complement(image(v,non_ordered_pair(w,x))))) equal(f22(f23(u,complement(complement(image(v,non_ordered_pair(w,x))))),v,non_ordered_pair(w,x)),x)** equal(f22(f23(u,complement(complement(image(v,non_ordered_pair(w,x))))),v,non_ordered_pair(w,x)),w)**. % 299.97/300.42 98751[0:Res:9151.0,1442.0] || -> disjoint(complement(complement(apply(non_ordered_pair(u,v),w))),x) equal(f28(f23(complement(complement(apply(non_ordered_pair(u,v),w))),x),non_ordered_pair(u,v),w),v)** equal(f28(f23(complement(complement(apply(non_ordered_pair(u,v),w))),x),non_ordered_pair(u,v),w),u)**. % 299.97/300.42 98727[0:Res:9151.0,1443.0] || -> disjoint(complement(complement(image(u,non_ordered_pair(v,w)))),x) equal(f22(f23(complement(complement(image(u,non_ordered_pair(v,w)))),x),u,non_ordered_pair(v,w)),w)** equal(f22(f23(complement(complement(image(u,non_ordered_pair(v,w)))),x),u,non_ordered_pair(v,w)),v)**. % 299.97/300.42 99533[3:SSi:99425.0,5742.0,371.1] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(ordered_pair(u,f30(w,x,y)),converse(x1))* member(v,compose(z,converse(complement(x1))))*. % 299.97/300.42 99736[0:Res:22366.2,6058.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f30(x,y,z),f29(x,y,z))),f2(u))* member(x,compose(y,z)) equal(w,ordered_pair(v,x))* -> member(w,flip_range_of(first(u)))*. % 299.97/300.42 99735[0:Res:22366.2,5363.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f29(x,y,z),ordered_pair(f30(x,y,z),v)),f2(u))* member(x,compose(y,z)) equal(w,ordered_pair(v,x))* -> member(w,rotate_right(first(u)))*. % 299.97/300.42 99726[0:Res:22366.2,6081.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,f7(x,y)),f2(u))* member(x,second(y)) equal(w,y)* member(ordered_pair(f6(x,y),v),z)* -> member(w,compose(z,first(u)))*. % 299.97/300.42 99725[0:Res:22366.2,6080.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,f5(x,y)),f2(u))* member(x,first(y)) equal(w,y)* member(ordered_pair(f4(x,y),v),z)* -> member(w,compose(z,first(u)))*. % 299.97/300.42 99933[0:Res:22612.2,6058.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f30(x,y,z),f29(x,y,z))),f3(u))* member(x,compose(y,z)) equal(w,ordered_pair(v,x))* -> member(w,flip_range_of(second(u)))*. % 299.97/300.42 99932[0:Res:22612.2,5363.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f29(x,y,z),ordered_pair(f30(x,y,z),v)),f3(u))* member(x,compose(y,z)) equal(w,ordered_pair(v,x))* -> member(w,rotate_right(second(u)))*. % 299.97/300.42 99923[0:Res:22612.2,6081.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,f7(x,y)),f3(u))* member(x,second(y)) equal(w,y)* member(ordered_pair(f6(x,y),v),z)* -> member(w,compose(z,second(u)))*. % 300.16/300.42 99922[0:Res:22612.2,6080.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,f5(x,y)),f3(u))* member(x,first(y)) equal(w,y)* member(ordered_pair(f4(x,y),v),z)* -> member(w,compose(z,second(u)))*. % 300.16/300.42 100824[16:Res:59048.1,1442.0] || -> equal(intersection(apply(non_ordered_pair(u,v),w),x),a) equal(f28(f1(intersection(apply(non_ordered_pair(u,v),w),x),a),non_ordered_pair(u,v),w),v)** equal(f28(f1(intersection(apply(non_ordered_pair(u,v),w),x),a),non_ordered_pair(u,v),w),u)**. % 300.16/300.42 100800[16:Res:59048.1,1443.0] || -> equal(intersection(image(u,non_ordered_pair(v,w)),x),a) equal(f22(f1(intersection(image(u,non_ordered_pair(v,w)),x),a),u,non_ordered_pair(v,w)),w)** equal(f22(f1(intersection(image(u,non_ordered_pair(v,w)),x),a),u,non_ordered_pair(v,w)),v)**. % 300.16/300.42 100941[16:Res:59049.1,1442.0] || -> equal(intersection(u,apply(non_ordered_pair(v,w),x)),a) equal(f28(f1(intersection(u,apply(non_ordered_pair(v,w),x)),a),non_ordered_pair(v,w),x),w)** equal(f28(f1(intersection(u,apply(non_ordered_pair(v,w),x)),a),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 100917[16:Res:59049.1,1443.0] || -> equal(intersection(u,image(v,non_ordered_pair(w,x))),a) equal(f22(f1(intersection(u,image(v,non_ordered_pair(w,x))),a),v,non_ordered_pair(w,x)),x)** equal(f22(f1(intersection(u,image(v,non_ordered_pair(w,x))),a),v,non_ordered_pair(w,x)),w)**. % 300.16/300.42 101042[16:Res:59050.1,1442.0] || -> equal(intersection(apply(non_ordered_pair(u,v),w),x),a) equal(f28(f1(a,intersection(apply(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w),v)** equal(f28(f1(a,intersection(apply(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w),u)**. % 300.16/300.42 101018[16:Res:59050.1,1443.0] || -> equal(intersection(image(u,non_ordered_pair(v,w)),x),a) equal(f22(f1(a,intersection(image(u,non_ordered_pair(v,w)),x)),u,non_ordered_pair(v,w)),w)** equal(f22(f1(a,intersection(image(u,non_ordered_pair(v,w)),x)),u,non_ordered_pair(v,w)),v)**. % 300.16/300.42 101181[16:Res:59051.1,1442.0] || -> equal(intersection(u,apply(non_ordered_pair(v,w),x)),a) equal(f28(f1(a,intersection(u,apply(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x),w)** equal(f28(f1(a,intersection(u,apply(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 101157[16:Res:59051.1,1443.0] || -> equal(intersection(u,image(v,non_ordered_pair(w,x))),a) equal(f22(f1(a,intersection(u,image(v,non_ordered_pair(w,x)))),v,non_ordered_pair(w,x)),x)** equal(f22(f1(a,intersection(u,image(v,non_ordered_pair(w,x)))),v,non_ordered_pair(w,x)),w)**. % 300.16/300.42 101375[16:Res:59052.1,1442.0] || -> equal(restrict(apply(non_ordered_pair(u,v),w),x),a) equal(f28(f1(restrict(apply(non_ordered_pair(u,v),w),x),a),non_ordered_pair(u,v),w),v)** equal(f28(f1(restrict(apply(non_ordered_pair(u,v),w),x),a),non_ordered_pair(u,v),w),u)**. % 300.16/300.42 101351[16:Res:59052.1,1443.0] || -> equal(restrict(image(u,non_ordered_pair(v,w)),x),a) equal(f22(f1(restrict(image(u,non_ordered_pair(v,w)),x),a),u,non_ordered_pair(v,w)),w)** equal(f22(f1(restrict(image(u,non_ordered_pair(v,w)),x),a),u,non_ordered_pair(v,w)),v)**. % 300.16/300.42 101634[16:Res:59053.1,1442.0] || -> equal(restrict(apply(non_ordered_pair(u,v),w),x),a) equal(f28(f1(a,restrict(apply(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w),v)** equal(f28(f1(a,restrict(apply(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w),u)**. % 300.16/300.42 101611[16:Res:59053.1,1443.0] || -> equal(restrict(image(u,non_ordered_pair(v,w)),x),a) equal(f22(f1(a,restrict(image(u,non_ordered_pair(v,w)),x)),u,non_ordered_pair(v,w)),w)** equal(f22(f1(a,restrict(image(u,non_ordered_pair(v,w)),x)),u,non_ordered_pair(v,w)),v)**. % 300.16/300.42 101882[0:Res:3813.2,1558.0] || disjoint(u,universal_set) -> equal(image(non_ordered_pair(v,w),x),u) equal(first(f22(f1(image(non_ordered_pair(v,w),x),u),non_ordered_pair(v,w),x)),w)** equal(first(f22(f1(image(non_ordered_pair(v,w),x),u),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 102016[0:Res:3831.2,1558.0] || disjoint(u,universal_set) -> equal(u,image(non_ordered_pair(v,w),x)) equal(first(f22(f1(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f1(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 102179[16:SoR:55746.0,13294.1] || member(f23(cross_product(u,v),w),x) equal(first(f23(cross_product(u,v),w)),y) -> equal(second(f23(cross_product(u,v),w)),a) member(f26(second(f23(cross_product(u,v),w))),apply(x,y))* disjoint(cross_product(u,v),w). % 300.16/300.42 102296[16:SoR:55746.0,13337.1] || member(f23(u,cross_product(v,w)),x) equal(first(f23(u,cross_product(v,w))),y) -> equal(second(f23(u,cross_product(v,w))),a) member(f26(second(f23(u,cross_product(v,w)))),apply(x,y))* disjoint(u,cross_product(v,w)). % 300.16/300.42 102842[16:SoR:55746.0,13630.1] || member(f17(cross_product(u,v),w),x) equal(first(f17(cross_product(u,v),w)),y) -> equal(second(f17(cross_product(u,v),w)),a) member(f26(second(f17(cross_product(u,v),w))),apply(x,y))* subset(cross_product(u,v),w). % 300.16/300.42 104801[0:SSi:104698.0,371.0] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(ordered_pair(u,f30(w,x,y)),complement(x1))* member(v,compose(z,union(x1,x2)))*. % 300.16/300.42 105147[0:SSi:105042.0,371.0] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(ordered_pair(u,f30(w,x,y)),complement(x1))* member(v,compose(z,union(x2,x1)))*. % 300.16/300.42 18270[0:Res:279.1,1020.0] || -> single_valued_set(intersection(u,converse(intersection(v,w)))) member(ordered_pair(second(ordered_pair(f19(intersection(u,converse(intersection(v,w)))),f21(intersection(u,converse(intersection(v,w)))))),first(ordered_pair(f19(intersection(u,converse(intersection(v,w)))),f21(intersection(u,converse(intersection(v,w))))))),v)*. % 300.16/300.42 18269[0:Res:279.1,1021.0] || -> single_valued_set(intersection(u,converse(intersection(v,w)))) member(ordered_pair(second(ordered_pair(f19(intersection(u,converse(intersection(v,w)))),f21(intersection(u,converse(intersection(v,w)))))),first(ordered_pair(f19(intersection(u,converse(intersection(v,w)))),f21(intersection(u,converse(intersection(v,w))))))),w)*. % 300.16/300.42 18407[0:Res:280.1,1020.0] || -> single_valued_set(intersection(u,converse(intersection(v,w)))) member(ordered_pair(second(ordered_pair(f19(intersection(u,converse(intersection(v,w)))),f20(intersection(u,converse(intersection(v,w)))))),first(ordered_pair(f19(intersection(u,converse(intersection(v,w)))),f20(intersection(u,converse(intersection(v,w))))))),v)*. % 300.16/300.42 18406[0:Res:280.1,1021.0] || -> single_valued_set(intersection(u,converse(intersection(v,w)))) member(ordered_pair(second(ordered_pair(f19(intersection(u,converse(intersection(v,w)))),f20(intersection(u,converse(intersection(v,w)))))),first(ordered_pair(f19(intersection(u,converse(intersection(v,w)))),f20(intersection(u,converse(intersection(v,w))))))),w)*. % 300.16/300.42 18489[0:Res:287.1,1020.0] || -> single_valued_set(intersection(converse(intersection(u,v)),w)) member(ordered_pair(second(ordered_pair(f19(intersection(converse(intersection(u,v)),w)),f21(intersection(converse(intersection(u,v)),w)))),first(ordered_pair(f19(intersection(converse(intersection(u,v)),w)),f21(intersection(converse(intersection(u,v)),w))))),u)*. % 300.16/300.42 18488[0:Res:287.1,1021.0] || -> single_valued_set(intersection(converse(intersection(u,v)),w)) member(ordered_pair(second(ordered_pair(f19(intersection(converse(intersection(u,v)),w)),f21(intersection(converse(intersection(u,v)),w)))),first(ordered_pair(f19(intersection(converse(intersection(u,v)),w)),f21(intersection(converse(intersection(u,v)),w))))),v)*. % 300.16/300.42 18631[0:Res:288.1,1020.0] || -> single_valued_set(intersection(converse(intersection(u,v)),w)) member(ordered_pair(second(ordered_pair(f19(intersection(converse(intersection(u,v)),w)),f20(intersection(converse(intersection(u,v)),w)))),first(ordered_pair(f19(intersection(converse(intersection(u,v)),w)),f20(intersection(converse(intersection(u,v)),w))))),u)*. % 300.16/300.42 18630[0:Res:288.1,1021.0] || -> single_valued_set(intersection(converse(intersection(u,v)),w)) member(ordered_pair(second(ordered_pair(f19(intersection(converse(intersection(u,v)),w)),f20(intersection(converse(intersection(u,v)),w)))),first(ordered_pair(f19(intersection(converse(intersection(u,v)),w)),f20(intersection(converse(intersection(u,v)),w))))),v)*. % 300.16/300.42 28562[0:Res:288.1,3811.0] || -> single_valued_set(intersection(u,v)) equal(w,ordered_pair(f19(intersection(u,v)),f20(intersection(u,v)))) member(f1(w,ordered_pair(f19(intersection(u,v)),f20(intersection(u,v)))),w)* member(f1(w,ordered_pair(f19(intersection(u,v)),f20(intersection(u,v)))),sigma(u))*. % 300.16/300.42 28561[0:Res:287.1,3811.0] || -> single_valued_set(intersection(u,v)) equal(w,ordered_pair(f19(intersection(u,v)),f21(intersection(u,v)))) member(f1(w,ordered_pair(f19(intersection(u,v)),f21(intersection(u,v)))),w)* member(f1(w,ordered_pair(f19(intersection(u,v)),f21(intersection(u,v)))),sigma(u))*. % 300.16/300.42 28558[0:Res:280.1,3811.0] || -> single_valued_set(intersection(u,v)) equal(w,ordered_pair(f19(intersection(u,v)),f20(intersection(u,v)))) member(f1(w,ordered_pair(f19(intersection(u,v)),f20(intersection(u,v)))),w)* member(f1(w,ordered_pair(f19(intersection(u,v)),f20(intersection(u,v)))),sigma(v))*. % 300.16/300.42 28557[0:Res:279.1,3811.0] || -> single_valued_set(intersection(u,v)) equal(w,ordered_pair(f19(intersection(u,v)),f21(intersection(u,v)))) member(f1(w,ordered_pair(f19(intersection(u,v)),f21(intersection(u,v)))),w)* member(f1(w,ordered_pair(f19(intersection(u,v)),f21(intersection(u,v)))),sigma(v))*. % 300.16/300.42 28939[0:Res:288.1,3829.0] || -> single_valued_set(intersection(u,v)) equal(ordered_pair(f19(intersection(u,v)),f20(intersection(u,v))),w) member(f1(ordered_pair(f19(intersection(u,v)),f20(intersection(u,v))),w),w)* member(f1(ordered_pair(f19(intersection(u,v)),f20(intersection(u,v))),w),sigma(u))*. % 300.16/300.42 28938[0:Res:287.1,3829.0] || -> single_valued_set(intersection(u,v)) equal(ordered_pair(f19(intersection(u,v)),f21(intersection(u,v))),w) member(f1(ordered_pair(f19(intersection(u,v)),f21(intersection(u,v))),w),w)* member(f1(ordered_pair(f19(intersection(u,v)),f21(intersection(u,v))),w),sigma(u))*. % 300.16/300.42 28935[0:Res:280.1,3829.0] || -> single_valued_set(intersection(u,v)) equal(ordered_pair(f19(intersection(u,v)),f20(intersection(u,v))),w) member(f1(ordered_pair(f19(intersection(u,v)),f20(intersection(u,v))),w),w)* member(f1(ordered_pair(f19(intersection(u,v)),f20(intersection(u,v))),w),sigma(v))*. % 300.16/300.42 28934[0:Res:279.1,3829.0] || -> single_valued_set(intersection(u,v)) equal(ordered_pair(f19(intersection(u,v)),f21(intersection(u,v))),w) member(f1(ordered_pair(f19(intersection(u,v)),f21(intersection(u,v))),w),w)* member(f1(ordered_pair(f19(intersection(u,v)),f21(intersection(u,v))),w),sigma(v))*. % 300.16/300.42 32810[0:Res:3836.2,1014.0] || -> equal(cross_product(u,converse(cross_product(v,w))),x) member(f1(cross_product(u,converse(cross_product(v,w))),x),x) member(first(ordered_pair(second(second(f1(cross_product(u,converse(cross_product(v,w))),x))),first(second(f1(cross_product(u,converse(cross_product(v,w))),x))))),v)*. % 300.16/300.42 32809[0:Res:3836.2,1015.0] || -> equal(cross_product(u,converse(cross_product(v,w))),x) member(f1(cross_product(u,converse(cross_product(v,w))),x),x) member(second(ordered_pair(second(second(f1(cross_product(u,converse(cross_product(v,w))),x))),first(second(f1(cross_product(u,converse(cross_product(v,w))),x))))),w)*. % 300.16/300.42 32975[0:Res:3835.2,1014.0] || -> equal(cross_product(converse(cross_product(u,v)),w),x) member(f1(cross_product(converse(cross_product(u,v)),w),x),x) member(first(ordered_pair(second(first(f1(cross_product(converse(cross_product(u,v)),w),x))),first(first(f1(cross_product(converse(cross_product(u,v)),w),x))))),u)*. % 300.16/300.42 32974[0:Res:3835.2,1015.0] || -> equal(cross_product(converse(cross_product(u,v)),w),x) member(f1(cross_product(converse(cross_product(u,v)),w),x),x) member(second(ordered_pair(second(first(f1(cross_product(converse(cross_product(u,v)),w),x))),first(first(f1(cross_product(converse(cross_product(u,v)),w),x))))),v)*. % 300.16/300.42 33146[0:Res:3818.2,1014.0] || -> equal(u,cross_product(v,converse(cross_product(w,x)))) member(f1(u,cross_product(v,converse(cross_product(w,x)))),u) member(first(ordered_pair(second(second(f1(u,cross_product(v,converse(cross_product(w,x)))))),first(second(f1(u,cross_product(v,converse(cross_product(w,x)))))))),w)*. % 300.16/300.42 33145[0:Res:3818.2,1015.0] || -> equal(u,cross_product(v,converse(cross_product(w,x)))) member(f1(u,cross_product(v,converse(cross_product(w,x)))),u) member(second(ordered_pair(second(second(f1(u,cross_product(v,converse(cross_product(w,x)))))),first(second(f1(u,cross_product(v,converse(cross_product(w,x)))))))),x)*. % 300.16/300.42 33312[0:Res:3817.2,1014.0] || -> equal(u,cross_product(converse(cross_product(v,w)),x)) member(f1(u,cross_product(converse(cross_product(v,w)),x)),u) member(first(ordered_pair(second(first(f1(u,cross_product(converse(cross_product(v,w)),x)))),first(first(f1(u,cross_product(converse(cross_product(v,w)),x)))))),v)*. % 300.16/300.42 33311[0:Res:3817.2,1015.0] || -> equal(u,cross_product(converse(cross_product(v,w)),x)) member(f1(u,cross_product(converse(cross_product(v,w)),x)),u) member(second(ordered_pair(second(first(f1(u,cross_product(converse(cross_product(v,w)),x)))),first(first(f1(u,cross_product(converse(cross_product(v,w)),x)))))),w)*. % 300.16/300.42 33569[0:Res:66.1,1441.0] || member(u,sigma(converse(non_ordered_pair(v,w)))) -> equal(ordered_pair(second(f16(u,converse(non_ordered_pair(v,w)))),first(f16(u,converse(non_ordered_pair(v,w))))),w)** equal(ordered_pair(second(f16(u,converse(non_ordered_pair(v,w)))),first(f16(u,converse(non_ordered_pair(v,w))))),v)**. % 300.16/300.42 34283[0:Res:3839.1,1437.0] || -> equal(powerset(u),range_of(non_ordered_pair(v,w))) subset(f1(powerset(u),range_of(non_ordered_pair(v,w))),u)* equal(f27(f1(powerset(u),range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f27(f1(powerset(u),range_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 300.16/300.42 34244[0:Res:3821.1,1437.0] || -> equal(range_of(non_ordered_pair(u,v)),powerset(w)) subset(f1(range_of(non_ordered_pair(u,v)),powerset(w)),w)* equal(f27(f1(range_of(non_ordered_pair(u,v)),powerset(w)),non_ordered_pair(u,v)),v)** equal(f27(f1(range_of(non_ordered_pair(u,v)),powerset(w)),non_ordered_pair(u,v)),u)**. % 300.16/300.42 34455[0:Res:3839.1,1438.0] || -> equal(powerset(u),sigma(non_ordered_pair(v,w))) subset(f1(powerset(u),sigma(non_ordered_pair(v,w))),u)* equal(f16(f1(powerset(u),sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f16(f1(powerset(u),sigma(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 300.16/300.42 34411[0:Res:3821.1,1438.0] || -> equal(sigma(non_ordered_pair(u,v)),powerset(w)) subset(f1(sigma(non_ordered_pair(u,v)),powerset(w)),w)* equal(f16(f1(sigma(non_ordered_pair(u,v)),powerset(w)),non_ordered_pair(u,v)),v)** equal(f16(f1(sigma(non_ordered_pair(u,v)),powerset(w)),non_ordered_pair(u,v)),u)**. % 300.16/300.42 34620[0:Res:3839.1,1439.0] || -> equal(powerset(u),domain_of(non_ordered_pair(v,w))) subset(f1(powerset(u),domain_of(non_ordered_pair(v,w))),u)* equal(f8(f1(powerset(u),domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),w)** equal(f8(f1(powerset(u),domain_of(non_ordered_pair(v,w))),non_ordered_pair(v,w)),v)**. % 300.16/300.42 34581[0:Res:3821.1,1439.0] || -> equal(domain_of(non_ordered_pair(u,v)),powerset(w)) subset(f1(domain_of(non_ordered_pair(u,v)),powerset(w)),w)* equal(f8(f1(domain_of(non_ordered_pair(u,v)),powerset(w)),non_ordered_pair(u,v)),v)** equal(f8(f1(domain_of(non_ordered_pair(u,v)),powerset(w)),non_ordered_pair(u,v)),u)**. % 300.16/300.42 35649[3:MRR:35604.0,6177.1] || member(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),sigma(x)) member(u,image(v,w)) disjoint(converse(f16(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),x)),v)* -> . % 300.16/300.42 35808[3:MRR:35763.0,6177.1] || member(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),first(x)) member(u,image(v,w)) disjoint(converse(f4(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),x)),v)* -> . % 300.16/300.42 36027[3:MRR:35982.0,6177.1] || member(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),second(x)) member(u,image(v,w)) disjoint(converse(f7(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),x)),v)* -> . % 300.16/300.42 36559[0:Res:4622.2,1163.0] || member(u,flip_range_of(v)) subset(v,converse(w))* member(w,x)* -> member(ordered_pair(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))),sigma(x))*. % 300.16/300.42 36987[0:Res:4770.2,1163.0] || member(u,rotate_right(v)) subset(v,converse(w))* member(w,x)* -> member(ordered_pair(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))),sigma(x))*. % 300.16/300.42 37758[0:Res:4272.2,1438.0] || member(u,compose(v,w)) member(w,non_ordered_pair(x,y)) -> equal(f16(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y)),y)** equal(f16(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y)),x)**. % 300.16/300.42 38229[0:Res:4347.2,1438.0] || member(u,compose(v,w)) member(v,non_ordered_pair(x,y)) -> equal(f16(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y)),y)** equal(f16(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y)),x)**. % 300.16/300.42 40538[3:Res:3651.2,6235.0] || member(second(f17(u,cross_product(v,restrict(w,x)))),cross_product(x,universal_set))* member(second(f17(u,cross_product(v,restrict(w,x)))),w)* member(first(f17(u,cross_product(v,restrict(w,x)))),v)* -> subset(u,cross_product(v,restrict(w,x))). % 300.16/300.42 42061[3:Res:1007.2,6212.0] || member(u,domain_of(v)) member(f8(u,v),converse(converse(second(w))))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),apply(x,y))*. % 300.16/300.42 42060[3:Res:1008.2,6212.0] || member(u,range_of(v)) member(f27(u,v),converse(converse(second(w))))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),apply(x,y))*. % 300.16/300.42 42011[3:Res:3839.1,6212.0] || member(u,v) equal(first(u),w) -> equal(powerset(x),converse(second(u))) subset(f1(powerset(x),converse(second(u))),x) member(ordered_pair(second(f1(powerset(x),converse(second(u)))),first(f1(powerset(x),converse(second(u))))),apply(v,w))*. % 300.16/300.42 41971[3:Res:3821.1,6212.0] || member(u,v) equal(first(u),w) -> equal(converse(second(u)),powerset(x)) subset(f1(converse(second(u)),powerset(x)),x) member(ordered_pair(second(f1(converse(second(u)),powerset(x))),first(f1(converse(second(u)),powerset(x)))),apply(v,w))*. % 300.16/300.42 42994[3:Res:6211.3,1442.0] || member(u,non_ordered_pair(v,w)) equal(first(u),x) -> single_valued_set(second(u)) equal(f28(ordered_pair(f19(second(u)),f21(second(u))),non_ordered_pair(v,w),x),w)** equal(f28(ordered_pair(f19(second(u)),f21(second(u))),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 42993[3:Res:6210.3,1442.0] || member(u,non_ordered_pair(v,w)) equal(first(u),x) -> single_valued_set(second(u)) equal(f28(ordered_pair(f19(second(u)),f20(second(u))),non_ordered_pair(v,w),x),w)** equal(f28(ordered_pair(f19(second(u)),f20(second(u))),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 42955[0:Res:1007.2,1442.0] || member(u,domain_of(v)) member(f8(u,v),converse(apply(non_ordered_pair(w,x),y))) -> equal(f28(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x),y),x)** equal(f28(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x),y),w)**. % 300.16/300.42 42954[0:Res:1008.2,1442.0] || member(u,range_of(v)) member(f27(u,v),converse(apply(non_ordered_pair(w,x),y))) -> equal(f28(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x),y),x)** equal(f28(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x),y),w)**. % 300.16/300.42 42886[0:Res:94.1,1442.0] || member(u,image(apply(non_ordered_pair(v,w),x),y)) -> equal(f28(first(f22(u,apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),w)** equal(f28(first(f22(u,apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 43132[0:Res:1007.2,1443.0] || member(u,domain_of(v)) member(f8(u,v),converse(image(w,non_ordered_pair(x,y)))) -> equal(f22(ordered_pair(second(f8(u,v)),u),w,non_ordered_pair(x,y)),y)** equal(f22(ordered_pair(second(f8(u,v)),u),w,non_ordered_pair(x,y)),x)**. % 300.16/300.42 43131[0:Res:1008.2,1443.0] || member(u,range_of(v)) member(f27(u,v),converse(image(w,non_ordered_pair(x,y)))) -> equal(f22(ordered_pair(u,first(f27(u,v))),w,non_ordered_pair(x,y)),y)** equal(f22(ordered_pair(u,first(f27(u,v))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.42 43063[0:Res:94.1,1443.0] || member(u,image(image(v,non_ordered_pair(w,x)),y)) -> equal(f22(first(f22(u,image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),x)** equal(f22(first(f22(u,image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),w)**. % 300.16/300.42 43482[3:SSi:43408.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),apply(v,w)) -> member(u,converse(converse(second(f28(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v,w)))))*. % 300.16/300.42 43825[3:Res:6214.3,1442.0] || member(u,image(v,second(w))) member(w,non_ordered_pair(x,y)) equal(first(w),z) -> equal(f28(f22(u,v,second(w)),non_ordered_pair(x,y),z),y)** equal(f28(f22(u,v,second(w)),non_ordered_pair(x,y),z),x)**. % 300.16/300.42 43886[3:Res:6215.3,1442.0] || member(u,apply(second(v),w)) member(v,non_ordered_pair(x,y)) equal(first(v),z) -> equal(f28(f28(u,second(v),w),non_ordered_pair(x,y),z),y)** equal(f28(f28(u,second(v),w),non_ordered_pair(x,y),z),x)**. % 300.16/300.42 44345[0:Res:4635.1,1354.0] || member(u,flip_range_of(intersection(v,image(w,cross_product(x,y))))) -> member(ordered_pair(f12(u,intersection(v,image(w,cross_product(x,y)))),ordered_pair(f14(u,intersection(v,image(w,cross_product(x,y)))),f13(u,intersection(v,image(w,cross_product(x,y)))))),y)*. % 300.16/300.42 44600[0:Res:4634.1,1354.0] || member(u,flip_range_of(intersection(image(v,cross_product(w,x)),y))) -> member(ordered_pair(f12(u,intersection(image(v,cross_product(w,x)),y)),ordered_pair(f14(u,intersection(image(v,cross_product(w,x)),y)),f13(u,intersection(image(v,cross_product(w,x)),y)))),x)*. % 300.16/300.42 45119[0:Res:4783.1,1354.0] || member(u,rotate_right(intersection(v,image(w,cross_product(x,y))))) -> member(ordered_pair(f10(u,intersection(v,image(w,cross_product(x,y)))),ordered_pair(f11(u,intersection(v,image(w,cross_product(x,y)))),f9(u,intersection(v,image(w,cross_product(x,y)))))),y)*. % 300.16/300.42 46246[0:Res:4782.1,1354.0] || member(u,rotate_right(intersection(image(v,cross_product(w,x)),y))) -> member(ordered_pair(f10(u,intersection(image(v,cross_product(w,x)),y)),ordered_pair(f11(u,intersection(image(v,cross_product(w,x)),y)),f9(u,intersection(image(v,cross_product(w,x)),y)))),x)*. % 300.16/300.42 47256[0:Res:93.1,1558.0] || member(u,image(v,image(non_ordered_pair(w,x),y))) -> equal(first(f22(f22(u,v,image(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y)),x)** equal(first(f22(f22(u,v,image(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y)),w)**. % 300.16/300.42 47233[0:Res:118.1,1558.0] || member(u,apply(image(non_ordered_pair(v,w),x),y)) -> equal(first(f22(f28(u,image(non_ordered_pair(v,w),x),y),non_ordered_pair(v,w),x)),w)** equal(first(f22(f28(u,image(non_ordered_pair(v,w),x),y),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 47410[0:Res:3837.1,1354.0] || -> equal(non_ordered_pair(u,v),image(w,cross_product(x,y))) equal(f1(non_ordered_pair(u,v),image(w,cross_product(x,y))),v) equal(f1(non_ordered_pair(u,v),image(w,cross_product(x,y))),u) member(f1(non_ordered_pair(u,v),image(w,cross_product(x,y))),y)*. % 300.16/300.42 47855[0:Res:3819.1,1354.0] || -> equal(image(u,cross_product(v,w)),non_ordered_pair(x,y)) equal(f1(image(u,cross_product(v,w)),non_ordered_pair(x,y)),y) equal(f1(image(u,cross_product(v,w)),non_ordered_pair(x,y)),x) member(f1(image(u,cross_product(v,w)),non_ordered_pair(x,y)),w)*. % 300.16/300.42 58775[16:Rew:54986.0,51628.1] little_set(image(non_ordered_pair(u,v),w)) || -> equal(image(non_ordered_pair(u,v),w),a) equal(first(f22(f26(image(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f26(image(non_ordered_pair(u,v),w)),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 58781[16:Rew:54986.0,51310.1] little_set(converse(non_ordered_pair(u,v))) || -> equal(converse(non_ordered_pair(u,v)),a) equal(ordered_pair(second(f26(converse(non_ordered_pair(u,v)))),first(f26(converse(non_ordered_pair(u,v))))),v)** equal(ordered_pair(second(f26(converse(non_ordered_pair(u,v)))),first(f26(converse(non_ordered_pair(u,v))))),u)**. % 300.16/300.42 64292[3:Res:4628.1,6192.1] || member(u,flip_range_of(cross_product(v,second(w)))) member(w,x) equal(first(w),y) -> member(second(ordered_pair(f12(u,cross_product(v,second(w))),ordered_pair(f14(u,cross_product(v,second(w))),f13(u,cross_product(v,second(w)))))),apply(x,y))*. % 300.16/300.42 64399[3:Res:4627.1,6192.1] || member(u,flip_range_of(cross_product(second(v),w))) member(v,x) equal(first(v),y) -> member(first(ordered_pair(f12(u,cross_product(second(v),w)),ordered_pair(f14(u,cross_product(second(v),w)),f13(u,cross_product(second(v),w))))),apply(x,y))*. % 300.16/300.42 64548[3:Res:4776.1,6192.1] || member(u,rotate_right(cross_product(v,second(w)))) member(w,x) equal(first(w),y) -> member(second(ordered_pair(f10(u,cross_product(v,second(w))),ordered_pair(f11(u,cross_product(v,second(w))),f9(u,cross_product(v,second(w)))))),apply(x,y))*. % 300.16/300.42 64658[3:Res:4775.1,6192.1] || member(u,rotate_right(cross_product(second(v),w))) member(v,x) equal(first(v),y) -> member(first(ordered_pair(f10(u,cross_product(second(v),w)),ordered_pair(f11(u,cross_product(second(v),w)),f9(u,cross_product(second(v),w))))),apply(x,y))*. % 300.16/300.42 65372[16:MRR:65358.0,133.1] little_set(f26(f31(u,v,sigma(w)))) single_valued_set(sigma(w)) || member(f25,w) member(u,compose(v,sigma(w))) -> equal(f31(u,v,sigma(w)),a) equal(f26(f31(u,v,sigma(w))),f30(u,v,sigma(w)))**. % 300.16/300.42 65377[0:MRR:65361.0,1545.1] single_valued_set(u) || member(f31(v,w,u),image(x,y)) member(f22(f31(v,w,u),x,y),converse(u))* member(v,compose(w,u)) -> equal(first(f22(f31(v,w,u),x,y)),f30(v,w,u)). % 300.16/300.42 65589[16:MRR:65573.0,131.1] little_set(f26(f29(u,sigma(v),w))) single_valued_set(sigma(v)) || member(f25,v) member(u,compose(sigma(v),w)) -> equal(f29(u,sigma(v),w),a) equal(f26(f29(u,sigma(v),w)),f31(u,sigma(v),w))**. % 300.16/300.42 65594[0:MRR:65576.0,1545.1] single_valued_set(u) || member(f29(v,u,w),image(x,y)) member(f22(f29(v,u,w),x,y),converse(u))* member(v,compose(u,w)) -> equal(first(f22(f29(v,u,w),x,y)),f31(v,u,w)). % 300.16/300.42 65860[0:Res:3651.2,5225.4] little_set(u) single_valued_set(restrict(v,w)) || member(ordered_pair(f4(x,y),u),cross_product(w,universal_set))* member(ordered_pair(f4(x,y),u),v)* member(x,first(y)) member(y,restrict(v,w))* -> equal(u,f5(x,y)). % 300.16/300.42 65892[3:SSi:65843.0,5742.0,371.1] little_set(u) single_valued_set(cross_product(v,w)) || member(second(ordered_pair(f4(x,y),u)),w)* member(first(ordered_pair(f4(x,y),u)),v)* member(x,first(y)) member(y,cross_product(v,w))* -> equal(u,f5(x,y)). % 300.16/300.42 65981[0:Res:3651.2,5226.4] little_set(u) single_valued_set(restrict(v,w)) || member(ordered_pair(f6(x,y),u),cross_product(w,universal_set))* member(ordered_pair(f6(x,y),u),v)* member(x,second(y)) member(y,restrict(v,w))* -> equal(u,f7(x,y)). % 300.16/300.42 66013[3:SSi:65964.0,5742.0,371.1] little_set(u) single_valued_set(cross_product(v,w)) || member(second(ordered_pair(f6(x,y),u)),w)* member(first(ordered_pair(f6(x,y),u)),v)* member(x,second(y)) member(y,cross_product(v,w))* -> equal(u,f7(x,y)). % 300.16/300.42 66104[16:MRR:66093.0,49.1] little_set(f26(f10(u,sigma(v)))) single_valued_set(sigma(v)) || member(f25,v) member(u,rotate_right(sigma(v))) -> equal(f10(u,sigma(v)),a) equal(ordered_pair(f11(u,sigma(v)),f9(u,sigma(v))),f26(f10(u,sigma(v))))**. % 300.16/300.42 66202[16:MRR:66189.0,54.1] little_set(f26(f12(u,sigma(v)))) single_valued_set(sigma(v)) || member(f25,v) member(u,flip_range_of(sigma(v))) -> equal(f12(u,sigma(v)),a) equal(ordered_pair(f14(u,sigma(v)),f13(u,sigma(v))),f26(f12(u,sigma(v))))**. % 300.16/300.42 67695[3:MRR:67678.0,67678.1,133.1,132.1] little_set(u) || member(v,compose(w,second(x))) member(x,y) equal(first(x),z) member(ordered_pair(u,f31(v,w,second(x))),x1) -> member(ordered_pair(u,f30(v,w,second(x))),compose(x1,apply(y,z)))*. % 300.16/300.42 67753[3:MRR:67736.0,67736.1,131.1,133.1] little_set(u) || member(v,compose(second(w),x)) member(w,y) equal(first(w),z) member(ordered_pair(u,f29(v,second(w),x)),x1) -> member(ordered_pair(u,f31(v,second(w),x)),compose(x1,apply(y,z)))*. % 300.16/300.42 67905[16:MRR:67879.0,131.1] little_set(f26(f29(u,v,w))) single_valued_set(sigma(x)) || member(f25,x) member(u,compose(v,w)) member(u,sigma(x))* -> equal(f29(u,v,w),a) equal(f26(f29(u,v,w)),f30(u,v,w))**. % 300.16/300.42 67961[16:Res:5266.4,58999.0] || closed(u,v) closed(powerset(cross_product(set_a,set_b)),w) maps(x,powerset(cross_product(set_a,set_b)),u) member(singleton_set(singleton_set(a)),f33(x,powerset(cross_product(set_a,set_b)),w,u,v))* -> homomorphism(x,powerset(cross_product(set_a,set_b)),w,u,v). % 300.16/300.42 68048[16:Res:5311.4,58999.0] || closed(u,v) closed(powerset(cross_product(set_a,set_b)),w) maps(x,powerset(cross_product(set_a,set_b)),u) member(singleton_set(singleton_set(a)),f32(x,powerset(cross_product(set_a,set_b)),w,u,v))* -> homomorphism(x,powerset(cross_product(set_a,set_b)),w,u,v). % 300.16/300.42 68393[16:Res:55527.1,5236.4] little_set(u) single_valued_set(singleton_set(ordered_pair(f9(v,w),u))) || member(v,rotate_right(w)) member(v,singleton_set(ordered_pair(f9(v,w),u)))* -> equal(singleton_set(ordered_pair(f9(v,w),u)),a) equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 300.16/300.42 68643[16:Res:55527.1,5238.4] little_set(u) single_valued_set(singleton_set(ordered_pair(f12(v,w),u))) || member(v,flip_range_of(w)) member(v,singleton_set(ordered_pair(f12(v,w),u)))* -> equal(singleton_set(ordered_pair(f12(v,w),u)),a) equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 300.16/300.42 68784[0:MRR:68766.0,5259.4] || equal(f33(u,complement(ordered_pair(v,w)),x,y,z),non_ordered_pair(v,w))** closed(y,z) closed(complement(ordered_pair(v,w)),x) maps(u,complement(ordered_pair(v,w)),y) -> homomorphism(u,complement(ordered_pair(v,w)),x,y,z). % 300.16/300.42 68845[0:MRR:68827.0,5304.4] || equal(f32(u,complement(ordered_pair(v,w)),x,y,z),non_ordered_pair(v,w))** closed(y,z) closed(complement(ordered_pair(v,w)),x) maps(u,complement(ordered_pair(v,w)),y) -> homomorphism(u,complement(ordered_pair(v,w)),x,y,z). % 300.16/300.42 70186[0:Res:5054.3,5359.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(f4(y,z),ordered_pair(f5(y,z),w)),u)* member(y,first(z)) equal(x,ordered_pair(w,z))* -> member(x,rotate_right(second(ordered_pair(v,u))))*. % 300.16/300.42 70185[0:Res:5009.3,5359.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(f4(y,z),ordered_pair(f5(y,z),w)),v)* member(y,first(z)) equal(x,ordered_pair(w,z))* -> member(x,rotate_right(first(ordered_pair(v,u))))*. % 300.16/300.42 70172[16:Res:55527.1,5359.4] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x)) -> equal(singleton_set(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u))),a) member(v,rotate_right(singleton_set(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)))))*. % 300.16/300.42 70264[0:Res:5054.3,5360.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(f6(y,z),ordered_pair(f7(y,z),w)),u)* member(y,second(z)) equal(x,ordered_pair(w,z))* -> member(x,rotate_right(second(ordered_pair(v,u))))*. % 300.16/300.42 70263[0:Res:5009.3,5360.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(f6(y,z),ordered_pair(f7(y,z),w)),v)* member(y,second(z)) equal(x,ordered_pair(w,z))* -> member(x,rotate_right(first(ordered_pair(v,u))))*. % 300.16/300.42 70250[16:Res:55527.1,5360.4] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x)) -> equal(singleton_set(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u))),a) member(v,rotate_right(singleton_set(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)))))*. % 300.16/300.42 70338[0:Res:5054.3,6054.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f5(y,z),f4(y,z))),u)* member(y,first(z)) equal(x,ordered_pair(w,z))* -> member(x,flip_range_of(second(ordered_pair(v,u))))*. % 300.16/300.42 70337[0:Res:5009.3,6054.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f5(y,z),f4(y,z))),v)* member(y,first(z)) equal(x,ordered_pair(w,z))* -> member(x,flip_range_of(first(ordered_pair(v,u))))*. % 300.16/300.42 70322[16:Res:55527.1,6054.4] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x)) -> equal(singleton_set(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x)))),a) member(v,flip_range_of(singleton_set(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))))))*. % 300.16/300.42 70409[0:Res:5054.3,6055.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f7(y,z),f6(y,z))),u)* member(y,second(z)) equal(x,ordered_pair(w,z))* -> member(x,flip_range_of(second(ordered_pair(v,u))))*. % 300.16/300.42 70408[0:Res:5009.3,6055.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f7(y,z),f6(y,z))),v)* member(y,second(z)) equal(x,ordered_pair(w,z))* -> member(x,flip_range_of(first(ordered_pair(v,u))))*. % 300.16/300.42 70393[16:Res:55527.1,6055.4] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x)) -> equal(singleton_set(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x)))),a) member(v,flip_range_of(singleton_set(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))))))*. % 300.16/300.42 70475[0:Res:5054.3,5163.4] little_set(u) little_set(v) little_set(w) || member(first(f22(x,y,z)),u)* member(x,image(y,z)) member(f22(x,y,z),x1)* equal(x,w)* -> member(w,image(second(ordered_pair(v,u)),x1))*. % 300.16/300.42 70474[0:Res:5009.3,5163.4] little_set(u) little_set(v) little_set(w) || member(first(f22(x,y,z)),v)* member(x,image(y,z)) member(f22(x,y,z),x1)* equal(x,w)* -> member(w,image(first(ordered_pair(v,u)),x1))*. % 300.16/300.42 70531[0:Res:5270.4,4578.0] || closed(u,v) closed(intersection(w,rotate_right(x)),y) maps(z,intersection(w,rotate_right(x)),u) equal(x1,f33(z,intersection(w,rotate_right(x)),y,u,v))* -> homomorphism(z,intersection(w,rotate_right(x)),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 70529[0:Res:5270.4,4549.0] || closed(u,v) closed(intersection(w,flip_range_of(x)),y) maps(z,intersection(w,flip_range_of(x)),u) equal(x1,f33(z,intersection(w,flip_range_of(x)),y,u,v))* -> homomorphism(z,intersection(w,flip_range_of(x)),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 70627[0:Res:5269.4,4578.0] || closed(u,v) closed(intersection(rotate_right(w),x),y) maps(z,intersection(rotate_right(w),x),u) equal(x1,f33(z,intersection(rotate_right(w),x),y,u,v))* -> homomorphism(z,intersection(rotate_right(w),x),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 70625[0:Res:5269.4,4549.0] || closed(u,v) closed(intersection(flip_range_of(w),x),y) maps(z,intersection(flip_range_of(w),x),u) equal(x1,f33(z,intersection(flip_range_of(w),x),y,u,v))* -> homomorphism(z,intersection(flip_range_of(w),x),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 70751[0:Res:5315.4,4578.0] || closed(u,v) closed(intersection(w,rotate_right(x)),y) maps(z,intersection(w,rotate_right(x)),u) equal(x1,f32(z,intersection(w,rotate_right(x)),y,u,v))* -> homomorphism(z,intersection(w,rotate_right(x)),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 70749[0:Res:5315.4,4549.0] || closed(u,v) closed(intersection(w,flip_range_of(x)),y) maps(z,intersection(w,flip_range_of(x)),u) equal(x1,f32(z,intersection(w,flip_range_of(x)),y,u,v))* -> homomorphism(z,intersection(w,flip_range_of(x)),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 70831[0:Res:5314.4,4578.0] || closed(u,v) closed(intersection(rotate_right(w),x),y) maps(z,intersection(rotate_right(w),x),u) equal(x1,f32(z,intersection(rotate_right(w),x),y,u,v))* -> homomorphism(z,intersection(rotate_right(w),x),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 70829[0:Res:5314.4,4549.0] || closed(u,v) closed(intersection(flip_range_of(w),x),y) maps(z,intersection(flip_range_of(w),x),u) equal(x1,f32(z,intersection(flip_range_of(w),x),y,u,v))* -> homomorphism(z,intersection(flip_range_of(w),x),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 72595[0:SSi:72567.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),union(y,z))* member(v,rotate_right(intersection(complement(y),complement(z))))*. % 300.16/300.42 73010[0:SSi:72982.0,371.0,3910.0,371.0,371.2,371.0] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),union(y,z))* member(v,rotate_right(intersection(complement(y),complement(z))))*. % 300.16/300.42 73242[0:SSi:73210.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),union(y,z))* member(v,flip_range_of(intersection(complement(y),complement(z))))*. % 300.16/300.42 73435[0:SSi:73403.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w))* -> member(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),union(y,z))* member(v,flip_range_of(intersection(complement(y),complement(z))))*. % 300.16/300.42 73515[16:Res:56731.1,4280.0] || subset(universal_set,compose(u,non_ordered_pair(v,w))) -> equal(ordered_pair(f31(powerset(a),u,non_ordered_pair(v,w)),f30(powerset(a),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(powerset(a),u,non_ordered_pair(v,w)),f30(powerset(a),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73511[16:Res:56369.1,4280.0] || subset(universal_set,compose(u,non_ordered_pair(v,w))) -> equal(ordered_pair(f31(singleton_set(a),u,non_ordered_pair(v,w)),f30(singleton_set(a),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(singleton_set(a),u,non_ordered_pair(v,w)),f30(singleton_set(a),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73504[7:Res:26333.1,4280.0] || subset(universal_set,compose(u,non_ordered_pair(v,w))) -> equal(ordered_pair(f31(sigma(infinity),u,non_ordered_pair(v,w)),f30(sigma(infinity),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(sigma(infinity),u,non_ordered_pair(v,w)),f30(sigma(infinity),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73730[16:Res:56731.1,4355.0] || subset(universal_set,compose(non_ordered_pair(u,v),w)) -> equal(ordered_pair(f29(powerset(a),non_ordered_pair(u,v),w),f31(powerset(a),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(powerset(a),non_ordered_pair(u,v),w),f31(powerset(a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73726[16:Res:56369.1,4355.0] || subset(universal_set,compose(non_ordered_pair(u,v),w)) -> equal(ordered_pair(f29(singleton_set(a),non_ordered_pair(u,v),w),f31(singleton_set(a),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(singleton_set(a),non_ordered_pair(u,v),w),f31(singleton_set(a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73719[7:Res:26333.1,4355.0] || subset(universal_set,compose(non_ordered_pair(u,v),w)) -> equal(ordered_pair(f29(sigma(infinity),non_ordered_pair(u,v),w),f31(sigma(infinity),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(sigma(infinity),non_ordered_pair(u,v),w),f31(sigma(infinity),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73991[0:SSi:73959.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),singleton_set(z))* member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),x1)* -> member(v,compose(x1,ordered_pair(z,x2)))*. % 300.16/300.42 74055[16:Res:56196.1,6084.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),a)** member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(v,compose(y,ordered_pair(universal_set,z)))*. % 300.16/300.42 74074[0:SSi:74033.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),y)* member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),z)* -> member(v,compose(z,non_ordered_pair(x1,y)))*. % 300.16/300.42 74075[0:SSi:74032.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),y)* member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),z)* -> member(v,compose(z,non_ordered_pair(y,x1)))*. % 300.16/300.42 74165[16:Res:56196.1,6086.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),a)** member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(v,compose(y,ordered_pair(universal_set,z)))*. % 300.16/300.42 74184[0:SSi:74143.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),y)* member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),z)* -> member(v,compose(z,non_ordered_pair(x1,y)))*. % 300.16/300.42 74185[0:SSi:74142.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),y)* member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),z)* -> member(v,compose(z,non_ordered_pair(y,x1)))*. % 300.16/300.42 88173[3:Res:82671.1,6055.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),infinity) member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(singleton_set(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))))))*. % 300.16/300.42 88172[3:Res:82671.1,6054.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),infinity) member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(singleton_set(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))))))*. % 300.16/300.42 88169[3:Res:82671.1,5360.4] little_set(u) little_set(v) || equal(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),infinity) member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(singleton_set(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)))))*. % 300.16/300.42 88168[3:Res:82671.1,5359.4] little_set(u) little_set(v) || equal(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),infinity) member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(singleton_set(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)))))*. % 300.16/300.42 88134[3:Res:82671.1,5236.4] little_set(u) single_valued_set(singleton_set(ordered_pair(f9(v,w),u))) || equal(ordered_pair(f9(v,w),u),infinity) member(v,rotate_right(w)) member(v,singleton_set(ordered_pair(f9(v,w),u)))* -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 300.16/300.42 88133[3:Res:82671.1,5238.4] little_set(u) single_valued_set(singleton_set(ordered_pair(f12(v,w),u))) || equal(ordered_pair(f12(v,w),u),infinity) member(v,flip_range_of(w)) member(v,singleton_set(ordered_pair(f12(v,w),u)))* -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 300.16/300.42 96979[3:Res:21407.1,18198.1] ordered_pair_predicate(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || member(first(ordered_pair(second(u),first(u))),v) -> member(u,converse(cross_product(v,converse(powerset(ordered_pair(second(second(ordered_pair(second(u),first(u)))),first(second(ordered_pair(second(u),first(u))))))))))*. % 300.16/300.42 97130[3:SSi:97049.0,5742.0,371.1] little_set(u) little_set(v) || member(w,second(x)) equal(v,x) member(ordered_pair(f6(w,x),u),y) -> member(v,compose(y,converse(powerset(ordered_pair(second(ordered_pair(u,f7(w,x))),first(ordered_pair(u,f7(w,x))))))))*. % 300.16/300.42 97131[3:SSi:97048.0,5742.0,371.1] little_set(u) little_set(v) || member(w,first(x)) equal(v,x) member(ordered_pair(f4(w,x),u),y) -> member(v,compose(y,converse(powerset(ordered_pair(second(ordered_pair(u,f5(w,x))),first(ordered_pair(u,f5(w,x))))))))*. % 300.16/300.42 97137[3:SSi:97036.0,5742.0,371.0,371.1] little_set(u) || member(v,flip_range_of(w)) equal(u,v) -> member(u,flip_range_of(converse(powerset(ordered_pair(second(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w)))),first(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w)))))))))*. % 300.16/300.42 97138[3:SSi:97035.0,5742.0,371.0,371.1] little_set(u) || member(v,flip_range_of(w)) equal(u,v) -> member(u,rotate_right(converse(powerset(ordered_pair(second(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w)))),first(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w)))))))))*. % 300.16/300.42 97139[3:SSi:97034.0,5742.0,371.0,371.1] little_set(u) || member(v,rotate_right(w)) equal(u,v) -> member(u,flip_range_of(converse(powerset(ordered_pair(second(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w)))),first(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w)))))))))*. % 300.16/300.42 97140[3:SSi:97033.0,5742.0,371.0,371.1] little_set(u) || member(v,rotate_right(w)) equal(u,v) -> member(u,rotate_right(converse(powerset(ordered_pair(second(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w)))),first(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w)))))))))*. % 300.16/300.42 99538[0:SSi:99418.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),converse(z))* member(v,compose(y,converse(complement(z))))*. % 300.16/300.42 99539[0:SSi:99417.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),converse(z))* member(v,compose(y,converse(complement(z))))*. % 300.16/300.42 99728[0:Res:22366.2,6062.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(ordered_pair(f13(x,y),f14(x,y)),f12(x,y))),f2(u))* member(x,flip_range_of(y)) equal(w,ordered_pair(v,x))* -> member(w,flip_range_of(first(u)))*. % 300.16/300.42 99727[0:Res:22366.2,6060.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(ordered_pair(f10(x,y),f11(x,y)),f9(x,y))),f2(u))* member(x,rotate_right(y)) equal(w,ordered_pair(v,x))* -> member(w,flip_range_of(first(u)))*. % 300.16/300.42 99722[0:Res:22366.2,5367.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f12(x,y),ordered_pair(ordered_pair(f13(x,y),f14(x,y)),v)),f2(u))* member(x,flip_range_of(y)) equal(w,ordered_pair(v,x))* -> member(w,rotate_right(first(u)))*. % 300.16/300.42 99721[0:Res:22366.2,5365.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f9(x,y),ordered_pair(ordered_pair(f10(x,y),f11(x,y)),v)),f2(u))* member(x,rotate_right(y)) equal(w,ordered_pair(v,x))* -> member(w,rotate_right(first(u)))*. % 300.16/300.42 99925[0:Res:22612.2,6062.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(ordered_pair(f13(x,y),f14(x,y)),f12(x,y))),f3(u))* member(x,flip_range_of(y)) equal(w,ordered_pair(v,x))* -> member(w,flip_range_of(second(u)))*. % 300.16/300.42 99924[0:Res:22612.2,6060.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(ordered_pair(f10(x,y),f11(x,y)),f9(x,y))),f3(u))* member(x,rotate_right(y)) equal(w,ordered_pair(v,x))* -> member(w,flip_range_of(second(u)))*. % 300.16/300.42 99919[0:Res:22612.2,5367.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f12(x,y),ordered_pair(ordered_pair(f13(x,y),f14(x,y)),v)),f3(u))* member(x,flip_range_of(y)) equal(w,ordered_pair(v,x))* -> member(w,rotate_right(second(u)))*. % 300.16/300.42 99918[0:Res:22612.2,5365.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f9(x,y),ordered_pair(ordered_pair(f10(x,y),f11(x,y)),v)),f3(u))* member(x,rotate_right(y)) equal(w,ordered_pair(v,x))* -> member(w,rotate_right(second(u)))*. % 300.16/300.42 104806[0:SSi:104691.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),complement(z))* member(v,compose(y,union(z,x1)))*. % 300.16/300.42 104807[0:SSi:104690.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),complement(z))* member(v,compose(y,union(z,x1)))*. % 300.16/300.42 105152[0:SSi:105035.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),complement(z))* member(v,compose(y,union(x1,z)))*. % 300.16/300.42 105153[0:SSi:105034.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),complement(z))* member(v,compose(y,union(x1,z)))*. % 300.16/300.42 9854[0:Res:142.3,1354.0] || closed(u,v) closed(image(w,cross_product(x,y)),z) maps(x1,image(w,cross_product(x,y)),u) -> homomorphism(x1,image(w,cross_product(x,y)),z,u,v) member(f32(x1,image(w,cross_product(x,y)),z,u,v),y)*. % 300.16/300.42 9853[0:Res:143.3,1354.0] || closed(u,v) closed(image(w,cross_product(x,y)),z) maps(x1,image(w,cross_product(x,y)),u) -> homomorphism(x1,image(w,cross_product(x,y)),z,u,v) member(f33(x1,image(w,cross_product(x,y)),z,u,v),y)*. % 300.16/300.42 18272[0:Res:279.1,1014.0] || -> single_valued_set(intersection(u,converse(cross_product(v,w)))) member(first(ordered_pair(second(ordered_pair(f19(intersection(u,converse(cross_product(v,w)))),f21(intersection(u,converse(cross_product(v,w)))))),first(ordered_pair(f19(intersection(u,converse(cross_product(v,w)))),f21(intersection(u,converse(cross_product(v,w)))))))),v)*. % 300.16/300.42 18271[0:Res:279.1,1015.0] || -> single_valued_set(intersection(u,converse(cross_product(v,w)))) member(second(ordered_pair(second(ordered_pair(f19(intersection(u,converse(cross_product(v,w)))),f21(intersection(u,converse(cross_product(v,w)))))),first(ordered_pair(f19(intersection(u,converse(cross_product(v,w)))),f21(intersection(u,converse(cross_product(v,w)))))))),w)*. % 300.16/300.42 18409[0:Res:280.1,1014.0] || -> single_valued_set(intersection(u,converse(cross_product(v,w)))) member(first(ordered_pair(second(ordered_pair(f19(intersection(u,converse(cross_product(v,w)))),f20(intersection(u,converse(cross_product(v,w)))))),first(ordered_pair(f19(intersection(u,converse(cross_product(v,w)))),f20(intersection(u,converse(cross_product(v,w)))))))),v)*. % 300.16/300.42 18408[0:Res:280.1,1015.0] || -> single_valued_set(intersection(u,converse(cross_product(v,w)))) member(second(ordered_pair(second(ordered_pair(f19(intersection(u,converse(cross_product(v,w)))),f20(intersection(u,converse(cross_product(v,w)))))),first(ordered_pair(f19(intersection(u,converse(cross_product(v,w)))),f20(intersection(u,converse(cross_product(v,w)))))))),w)*. % 300.16/300.42 18491[0:Res:287.1,1014.0] || -> single_valued_set(intersection(converse(cross_product(u,v)),w)) member(first(ordered_pair(second(ordered_pair(f19(intersection(converse(cross_product(u,v)),w)),f21(intersection(converse(cross_product(u,v)),w)))),first(ordered_pair(f19(intersection(converse(cross_product(u,v)),w)),f21(intersection(converse(cross_product(u,v)),w)))))),u)*. % 300.16/300.42 18490[0:Res:287.1,1015.0] || -> single_valued_set(intersection(converse(cross_product(u,v)),w)) member(second(ordered_pair(second(ordered_pair(f19(intersection(converse(cross_product(u,v)),w)),f21(intersection(converse(cross_product(u,v)),w)))),first(ordered_pair(f19(intersection(converse(cross_product(u,v)),w)),f21(intersection(converse(cross_product(u,v)),w)))))),v)*. % 300.16/300.42 18633[0:Res:288.1,1014.0] || -> single_valued_set(intersection(converse(cross_product(u,v)),w)) member(first(ordered_pair(second(ordered_pair(f19(intersection(converse(cross_product(u,v)),w)),f20(intersection(converse(cross_product(u,v)),w)))),first(ordered_pair(f19(intersection(converse(cross_product(u,v)),w)),f20(intersection(converse(cross_product(u,v)),w)))))),u)*. % 300.16/300.42 18632[0:Res:288.1,1015.0] || -> single_valued_set(intersection(converse(cross_product(u,v)),w)) member(second(ordered_pair(second(ordered_pair(f19(intersection(converse(cross_product(u,v)),w)),f20(intersection(converse(cross_product(u,v)),w)))),first(ordered_pair(f19(intersection(converse(cross_product(u,v)),w)),f20(intersection(converse(cross_product(u,v)),w)))))),v)*. % 300.16/300.42 21909[0:Res:52.1,1009.0] || member(u,rotate_right(converse(v))) subset(v,w) -> member(ordered_pair(second(ordered_pair(f10(u,converse(v)),ordered_pair(f11(u,converse(v)),f9(u,converse(v))))),first(ordered_pair(f10(u,converse(v)),ordered_pair(f11(u,converse(v)),f9(u,converse(v)))))),w)*. % 300.16/300.42 21908[0:Res:58.1,1009.0] || member(u,flip_range_of(converse(v))) subset(v,w) -> member(ordered_pair(second(ordered_pair(f12(u,converse(v)),ordered_pair(f14(u,converse(v)),f13(u,converse(v))))),first(ordered_pair(f12(u,converse(v)),ordered_pair(f14(u,converse(v)),f13(u,converse(v)))))),w)*. % 300.16/300.42 28575[0:Res:1549.1,3811.0] || member(u,image(cross_product(v,w),x)) -> equal(y,first(first(f22(u,cross_product(v,w),x)))) member(f1(y,first(first(f22(u,cross_product(v,w),x)))),y)* member(f1(y,first(first(f22(u,cross_product(v,w),x)))),sigma(v))*. % 300.16/300.42 28534[0:Res:1550.1,3811.0] || member(u,image(cross_product(v,w),x)) -> equal(y,second(first(f22(u,cross_product(v,w),x)))) member(f1(y,second(first(f22(u,cross_product(v,w),x)))),y)* member(f1(y,second(first(f22(u,cross_product(v,w),x)))),sigma(w))*. % 300.16/300.42 28952[0:Res:1549.1,3829.0] || member(u,image(cross_product(v,w),x)) -> equal(first(first(f22(u,cross_product(v,w),x))),y) member(f1(first(first(f22(u,cross_product(v,w),x))),y),y)* member(f1(first(first(f22(u,cross_product(v,w),x))),y),sigma(v))*. % 300.16/300.42 28911[0:Res:1550.1,3829.0] || member(u,image(cross_product(v,w),x)) -> equal(second(first(f22(u,cross_product(v,w),x))),y) member(f1(second(first(f22(u,cross_product(v,w),x))),y),y)* member(f1(second(first(f22(u,cross_product(v,w),x))),y),sigma(w))*. % 300.16/300.42 33646[0:Res:1544.2,1441.0] || member(u,image(v,w)) subset(v,converse(non_ordered_pair(x,y)))* -> equal(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),y)* equal(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),x)*. % 300.16/300.42 34349[0:Res:1556.1,1437.0] || member(u,image(intersection(v,range_of(non_ordered_pair(w,x))),y)) -> equal(f27(first(f22(u,intersection(v,range_of(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),x)** equal(f27(first(f22(u,intersection(v,range_of(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),w)**. % 300.16/300.42 34348[0:Res:1344.1,1437.0] || member(u,image(v,cross_product(range_of(non_ordered_pair(w,x)),y))) -> equal(f27(first(f22(u,v,cross_product(range_of(non_ordered_pair(w,x)),y))),non_ordered_pair(w,x)),x)** equal(f27(first(f22(u,v,cross_product(range_of(non_ordered_pair(w,x)),y))),non_ordered_pair(w,x)),w)**. % 300.16/300.42 34345[0:Res:1555.1,1437.0] || member(u,image(intersection(range_of(non_ordered_pair(v,w)),x),y)) -> equal(f27(first(f22(u,intersection(range_of(non_ordered_pair(v,w)),x),y)),non_ordered_pair(v,w)),w)** equal(f27(first(f22(u,intersection(range_of(non_ordered_pair(v,w)),x),y)),non_ordered_pair(v,w)),v)**. % 300.16/300.42 34299[0:Res:1280.1,1437.0] || member(u,apply(cross_product(v,range_of(non_ordered_pair(w,x))),y)) -> equal(f27(second(f28(u,cross_product(v,range_of(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),x)** equal(f27(second(f28(u,cross_product(v,range_of(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),w)**. % 300.16/300.42 34521[0:Res:1556.1,1438.0] || member(u,image(intersection(v,sigma(non_ordered_pair(w,x))),y)) -> equal(f16(first(f22(u,intersection(v,sigma(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),x)** equal(f16(first(f22(u,intersection(v,sigma(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),w)**. % 300.16/300.42 34520[0:Res:1344.1,1438.0] || member(u,image(v,cross_product(sigma(non_ordered_pair(w,x)),y))) -> equal(f16(first(f22(u,v,cross_product(sigma(non_ordered_pair(w,x)),y))),non_ordered_pair(w,x)),x)** equal(f16(first(f22(u,v,cross_product(sigma(non_ordered_pair(w,x)),y))),non_ordered_pair(w,x)),w)**. % 300.16/300.42 34517[0:Res:1555.1,1438.0] || member(u,image(intersection(sigma(non_ordered_pair(v,w)),x),y)) -> equal(f16(first(f22(u,intersection(sigma(non_ordered_pair(v,w)),x),y)),non_ordered_pair(v,w)),w)** equal(f16(first(f22(u,intersection(sigma(non_ordered_pair(v,w)),x),y)),non_ordered_pair(v,w)),v)**. % 300.16/300.42 34471[0:Res:1280.1,1438.0] || member(u,apply(cross_product(v,sigma(non_ordered_pair(w,x))),y)) -> equal(f16(second(f28(u,cross_product(v,sigma(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),x)** equal(f16(second(f28(u,cross_product(v,sigma(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),w)**. % 300.16/300.42 34686[0:Res:1556.1,1439.0] || member(u,image(intersection(v,domain_of(non_ordered_pair(w,x))),y)) -> equal(f8(first(f22(u,intersection(v,domain_of(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),x)** equal(f8(first(f22(u,intersection(v,domain_of(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),w)**. % 300.16/300.42 34685[0:Res:1344.1,1439.0] || member(u,image(v,cross_product(domain_of(non_ordered_pair(w,x)),y))) -> equal(f8(first(f22(u,v,cross_product(domain_of(non_ordered_pair(w,x)),y))),non_ordered_pair(w,x)),x)** equal(f8(first(f22(u,v,cross_product(domain_of(non_ordered_pair(w,x)),y))),non_ordered_pair(w,x)),w)**. % 300.16/300.42 34682[0:Res:1555.1,1439.0] || member(u,image(intersection(domain_of(non_ordered_pair(v,w)),x),y)) -> equal(f8(first(f22(u,intersection(domain_of(non_ordered_pair(v,w)),x),y)),non_ordered_pair(v,w)),w)** equal(f8(first(f22(u,intersection(domain_of(non_ordered_pair(v,w)),x),y)),non_ordered_pair(v,w)),v)**. % 300.16/300.42 34636[0:Res:1280.1,1439.0] || member(u,apply(cross_product(v,domain_of(non_ordered_pair(w,x))),y)) -> equal(f8(second(f28(u,cross_product(v,domain_of(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),x)** equal(f8(second(f28(u,cross_product(v,domain_of(non_ordered_pair(w,x))),y)),non_ordered_pair(w,x)),w)**. % 300.16/300.42 35384[0:Res:4273.2,1438.0] || member(u,compose(v,w)) subset(w,sigma(non_ordered_pair(x,y))) -> equal(f16(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y)),y)** equal(f16(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y)),x)**. % 300.16/300.42 35350[0:Res:4273.2,1437.0] || member(u,compose(v,w)) subset(w,range_of(non_ordered_pair(x,y))) -> equal(f27(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y)),y)** equal(f27(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y)),x)**. % 300.16/300.42 35346[0:Res:4273.2,1439.0] || member(u,compose(v,w)) subset(w,domain_of(non_ordered_pair(x,y))) -> equal(f8(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y)),y)** equal(f8(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y)),x)**. % 300.16/300.42 35504[0:Res:4348.2,1438.0] || member(u,compose(v,w)) subset(v,sigma(non_ordered_pair(x,y))) -> equal(f16(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y)),y)** equal(f16(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y)),x)**. % 300.16/300.42 35470[0:Res:4348.2,1437.0] || member(u,compose(v,w)) subset(v,range_of(non_ordered_pair(x,y))) -> equal(f27(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y)),y)** equal(f27(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y)),x)**. % 300.16/300.42 35466[0:Res:4348.2,1439.0] || member(u,compose(v,w)) subset(v,domain_of(non_ordered_pair(x,y))) -> equal(f8(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y)),y)** equal(f8(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y)),x)**. % 300.16/300.42 40268[0:Res:288.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(intersection(ordered_pair(f10(u,v),f11(u,v)),x)) member(ordered_pair(f19(intersection(ordered_pair(f10(u,v),f11(u,v)),x)),f20(intersection(ordered_pair(f10(u,v),f11(u,v)),x))),second(w))*. % 300.16/300.42 40267[0:Res:287.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(intersection(ordered_pair(f10(u,v),f11(u,v)),x)) member(ordered_pair(f19(intersection(ordered_pair(f10(u,v),f11(u,v)),x)),f21(intersection(ordered_pair(f10(u,v),f11(u,v)),x))),second(w))*. % 300.16/300.42 40260[0:Res:280.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(intersection(x,ordered_pair(f10(u,v),f11(u,v)))) member(ordered_pair(f19(intersection(x,ordered_pair(f10(u,v),f11(u,v)))),f20(intersection(x,ordered_pair(f10(u,v),f11(u,v))))),second(w))*. % 300.16/300.42 40259[0:Res:279.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(intersection(x,ordered_pair(f10(u,v),f11(u,v)))) member(ordered_pair(f19(intersection(x,ordered_pair(f10(u,v),f11(u,v)))),f21(intersection(x,ordered_pair(f10(u,v),f11(u,v))))),second(w))*. % 300.16/300.42 40448[0:Res:288.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(intersection(ordered_pair(f13(u,v),f14(u,v)),x)) member(ordered_pair(f19(intersection(ordered_pair(f13(u,v),f14(u,v)),x)),f20(intersection(ordered_pair(f13(u,v),f14(u,v)),x))),second(w))*. % 300.16/300.42 40447[0:Res:287.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(intersection(ordered_pair(f13(u,v),f14(u,v)),x)) member(ordered_pair(f19(intersection(ordered_pair(f13(u,v),f14(u,v)),x)),f21(intersection(ordered_pair(f13(u,v),f14(u,v)),x))),second(w))*. % 300.16/300.42 40440[0:Res:280.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(intersection(x,ordered_pair(f13(u,v),f14(u,v)))) member(ordered_pair(f19(intersection(x,ordered_pair(f13(u,v),f14(u,v)))),f20(intersection(x,ordered_pair(f13(u,v),f14(u,v))))),second(w))*. % 300.16/300.42 40439[0:Res:279.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(intersection(x,ordered_pair(f13(u,v),f14(u,v)))) member(ordered_pair(f19(intersection(x,ordered_pair(f13(u,v),f14(u,v)))),f21(intersection(x,ordered_pair(f13(u,v),f14(u,v))))),second(w))*. % 300.16/300.42 40780[0:Res:1468.2,1438.0] || member(u,image(v,w)) member(f22(u,v,w),converse(sigma(non_ordered_pair(x,y)))) -> equal(f16(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y)),y)** equal(f16(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y)),x)**. % 300.16/300.42 40743[0:Res:1468.2,1437.0] || member(u,image(v,w)) member(f22(u,v,w),converse(range_of(non_ordered_pair(x,y)))) -> equal(f27(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y)),y)** equal(f27(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y)),x)**. % 300.16/300.42 40739[0:Res:1468.2,1439.0] || member(u,image(v,w)) member(f22(u,v,w),converse(domain_of(non_ordered_pair(x,y)))) -> equal(f8(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y)),y)** equal(f8(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y)),x)**. % 300.16/300.42 40924[0:Res:1464.2,1438.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(sigma(non_ordered_pair(x,y)))) -> equal(f16(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y)),y)** equal(f16(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y)),x)**. % 300.16/300.42 40910[0:Res:1464.2,82.4] little_set(u) little_set(v) little_set(second(f28(w,x,u))) single_valued_set(y) || member(w,apply(x,u)) member(f28(w,x,u),converse(y)) member(ordered_pair(second(f28(w,x,u)),v),y)* -> equal(v,u). % 300.16/300.42 40889[0:Res:1464.2,1437.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(range_of(non_ordered_pair(x,y)))) -> equal(f27(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y)),y)** equal(f27(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y)),x)**. % 300.16/300.42 40885[0:Res:1464.2,1439.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(domain_of(non_ordered_pair(x,y)))) -> equal(f8(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y)),y)** equal(f8(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y)),x)**. % 300.16/300.42 41266[0:Res:4286.1,5066.1] || member(u,compose(v,intersection(w,f30(x,y,z)))) member(x,compose(y,z)) equal(x1,x) -> member(ordered_pair(f31(u,v,intersection(w,f30(x,y,z))),f30(u,v,intersection(w,f30(x,y,z)))),second(x1))*. % 300.16/300.42 41265[0:Res:4286.1,5025.1] || member(u,compose(v,intersection(w,f29(x,y,z)))) member(x,compose(y,z)) equal(x1,x) -> member(ordered_pair(f31(u,v,intersection(w,f29(x,y,z))),f30(u,v,intersection(w,f29(x,y,z)))),first(x1))*. % 300.16/300.42 41225[3:Res:4286.1,6176.0] || member(u,compose(v,intersection(w,converse(x)))) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f31(u,v,intersection(w,converse(x))),f30(u,v,intersection(w,converse(x))))),first(ordered_pair(f31(u,v,intersection(w,converse(x))),f30(u,v,intersection(w,converse(x)))))))*. % 300.16/300.42 41505[0:Res:4285.1,5066.1] || member(u,compose(v,intersection(f30(w,x,y),z))) member(w,compose(x,y)) equal(x1,w) -> member(ordered_pair(f31(u,v,intersection(f30(w,x,y),z)),f30(u,v,intersection(f30(w,x,y),z))),second(x1))*. % 300.16/300.42 41504[0:Res:4285.1,5025.1] || member(u,compose(v,intersection(f29(w,x,y),z))) member(w,compose(x,y)) equal(x1,w) -> member(ordered_pair(f31(u,v,intersection(f29(w,x,y),z)),f30(u,v,intersection(f29(w,x,y),z))),first(x1))*. % 300.16/300.42 41464[3:Res:4285.1,6176.0] || member(u,compose(v,intersection(converse(w),x))) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f31(u,v,intersection(converse(w),x)),f30(u,v,intersection(converse(w),x)))),first(ordered_pair(f31(u,v,intersection(converse(w),x)),f30(u,v,intersection(converse(w),x))))))*. % 300.16/300.42 41643[0:Res:4361.1,5066.1] || member(u,compose(intersection(v,f30(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(ordered_pair(f29(u,intersection(v,f30(w,x,y)),z),f31(u,intersection(v,f30(w,x,y)),z)),second(x1))*. % 300.16/300.42 41642[0:Res:4361.1,5025.1] || member(u,compose(intersection(v,f29(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(ordered_pair(f29(u,intersection(v,f29(w,x,y)),z),f31(u,intersection(v,f29(w,x,y)),z)),first(x1))*. % 300.16/300.42 41602[3:Res:4361.1,6176.0] || member(u,compose(intersection(v,converse(w)),x)) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f29(u,intersection(v,converse(w)),x),f31(u,intersection(v,converse(w)),x))),first(ordered_pair(f29(u,intersection(v,converse(w)),x),f31(u,intersection(v,converse(w)),x)))))*. % 300.16/300.42 41765[0:Res:4360.1,5066.1] || member(u,compose(intersection(f30(v,w,x),y),z)) member(v,compose(w,x)) equal(x1,v) -> member(ordered_pair(f29(u,intersection(f30(v,w,x),y),z),f31(u,intersection(f30(v,w,x),y),z)),second(x1))*. % 300.16/300.42 41764[0:Res:4360.1,5025.1] || member(u,compose(intersection(f29(v,w,x),y),z)) member(v,compose(w,x)) equal(x1,v) -> member(ordered_pair(f29(u,intersection(f29(v,w,x),y),z),f31(u,intersection(f29(v,w,x),y),z)),first(x1))*. % 300.16/300.42 41724[3:Res:4360.1,6176.0] || member(u,compose(intersection(converse(v),w),x)) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f29(u,intersection(converse(v),w),x),f31(u,intersection(converse(v),w),x))),first(ordered_pair(f29(u,intersection(converse(v),w),x),f31(u,intersection(converse(v),w),x)))))*. % 300.16/300.42 42969[0:Res:556.1,1442.0] || -> disjoint(u,cross_product(apply(non_ordered_pair(v,w),x),y)) equal(f28(first(f23(u,cross_product(apply(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x),w)** equal(f28(first(f23(u,cross_product(apply(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 42965[0:Res:552.1,1442.0] || -> subset(cross_product(apply(non_ordered_pair(u,v),w),x),y) equal(f28(first(f17(cross_product(apply(non_ordered_pair(u,v),w),x),y)),non_ordered_pair(u,v),w),v)** equal(f28(first(f17(cross_product(apply(non_ordered_pair(u,v),w),x),y)),non_ordered_pair(u,v),w),u)**. % 300.16/300.42 42964[0:Res:551.1,1442.0] || -> disjoint(cross_product(apply(non_ordered_pair(u,v),w),x),y) equal(f28(first(f23(cross_product(apply(non_ordered_pair(u,v),w),x),y)),non_ordered_pair(u,v),w),v)** equal(f28(first(f23(cross_product(apply(non_ordered_pair(u,v),w),x),y)),non_ordered_pair(u,v),w),u)**. % 300.16/300.42 42934[0:Res:427.1,1442.0] || member(u,range_of(intersection(v,apply(non_ordered_pair(w,x),y)))) -> equal(f28(f27(u,intersection(v,apply(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y),x)** equal(f28(f27(u,intersection(v,apply(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y),w)**. % 300.16/300.42 42932[0:Res:456.1,1442.0] || member(u,sigma(intersection(v,apply(non_ordered_pair(w,x),y)))) -> equal(f28(f16(u,intersection(v,apply(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y),x)** equal(f28(f16(u,intersection(v,apply(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y),w)**. % 300.16/300.42 42930[0:Res:494.1,1442.0] || member(u,domain_of(intersection(v,apply(non_ordered_pair(w,x),y)))) -> equal(f28(f8(u,intersection(v,apply(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y),x)** equal(f28(f8(u,intersection(v,apply(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y),w)**. % 300.16/300.42 42917[0:Res:543.1,1442.0] || -> disjoint(u,cross_product(v,apply(non_ordered_pair(w,x),y))) equal(f28(second(f23(u,cross_product(v,apply(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y),x)** equal(f28(second(f23(u,cross_product(v,apply(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y),w)**. % 300.16/300.42 42909[0:Res:539.1,1442.0] || -> subset(cross_product(u,apply(non_ordered_pair(v,w),x)),y) equal(f28(second(f17(cross_product(u,apply(non_ordered_pair(v,w),x)),y)),non_ordered_pair(v,w),x),w)** equal(f28(second(f17(cross_product(u,apply(non_ordered_pair(v,w),x)),y)),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 42908[0:Res:538.1,1442.0] || -> disjoint(cross_product(u,apply(non_ordered_pair(v,w),x)),y) equal(f28(second(f23(cross_product(u,apply(non_ordered_pair(v,w),x)),y)),non_ordered_pair(v,w),x),w)** equal(f28(second(f23(cross_product(u,apply(non_ordered_pair(v,w),x)),y)),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 42900[0:Res:426.1,1442.0] || member(u,range_of(intersection(apply(non_ordered_pair(v,w),x),y))) -> equal(f28(f27(u,intersection(apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),w)** equal(f28(f27(u,intersection(apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 42898[0:Res:455.1,1442.0] || member(u,sigma(intersection(apply(non_ordered_pair(v,w),x),y))) -> equal(f28(f16(u,intersection(apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),w)** equal(f28(f16(u,intersection(apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 42896[0:Res:493.1,1442.0] || member(u,domain_of(intersection(apply(non_ordered_pair(v,w),x),y))) -> equal(f28(f8(u,intersection(apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),w)** equal(f28(f8(u,intersection(apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 43146[0:Res:556.1,1443.0] || -> disjoint(u,cross_product(image(v,non_ordered_pair(w,x)),y)) equal(f22(first(f23(u,cross_product(image(v,non_ordered_pair(w,x)),y))),v,non_ordered_pair(w,x)),x)** equal(f22(first(f23(u,cross_product(image(v,non_ordered_pair(w,x)),y))),v,non_ordered_pair(w,x)),w)**. % 300.16/300.42 43142[0:Res:552.1,1443.0] || -> subset(cross_product(image(u,non_ordered_pair(v,w)),x),y) equal(f22(first(f17(cross_product(image(u,non_ordered_pair(v,w)),x),y)),u,non_ordered_pair(v,w)),w)** equal(f22(first(f17(cross_product(image(u,non_ordered_pair(v,w)),x),y)),u,non_ordered_pair(v,w)),v)**. % 300.16/300.42 43141[0:Res:551.1,1443.0] || -> disjoint(cross_product(image(u,non_ordered_pair(v,w)),x),y) equal(f22(first(f23(cross_product(image(u,non_ordered_pair(v,w)),x),y)),u,non_ordered_pair(v,w)),w)** equal(f22(first(f23(cross_product(image(u,non_ordered_pair(v,w)),x),y)),u,non_ordered_pair(v,w)),v)**. % 300.16/300.42 43111[0:Res:427.1,1443.0] || member(u,range_of(intersection(v,image(w,non_ordered_pair(x,y))))) -> equal(f22(f27(u,intersection(v,image(w,non_ordered_pair(x,y)))),w,non_ordered_pair(x,y)),y)** equal(f22(f27(u,intersection(v,image(w,non_ordered_pair(x,y)))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.42 43109[0:Res:456.1,1443.0] || member(u,sigma(intersection(v,image(w,non_ordered_pair(x,y))))) -> equal(f22(f16(u,intersection(v,image(w,non_ordered_pair(x,y)))),w,non_ordered_pair(x,y)),y)** equal(f22(f16(u,intersection(v,image(w,non_ordered_pair(x,y)))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.42 43107[0:Res:494.1,1443.0] || member(u,domain_of(intersection(v,image(w,non_ordered_pair(x,y))))) -> equal(f22(f8(u,intersection(v,image(w,non_ordered_pair(x,y)))),w,non_ordered_pair(x,y)),y)** equal(f22(f8(u,intersection(v,image(w,non_ordered_pair(x,y)))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.42 43094[0:Res:543.1,1443.0] || -> disjoint(u,cross_product(v,image(w,non_ordered_pair(x,y)))) equal(f22(second(f23(u,cross_product(v,image(w,non_ordered_pair(x,y))))),w,non_ordered_pair(x,y)),y)** equal(f22(second(f23(u,cross_product(v,image(w,non_ordered_pair(x,y))))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.42 43086[0:Res:539.1,1443.0] || -> subset(cross_product(u,image(v,non_ordered_pair(w,x))),y) equal(f22(second(f17(cross_product(u,image(v,non_ordered_pair(w,x))),y)),v,non_ordered_pair(w,x)),x)** equal(f22(second(f17(cross_product(u,image(v,non_ordered_pair(w,x))),y)),v,non_ordered_pair(w,x)),w)**. % 300.16/300.42 43085[0:Res:538.1,1443.0] || -> disjoint(cross_product(u,image(v,non_ordered_pair(w,x))),y) equal(f22(second(f23(cross_product(u,image(v,non_ordered_pair(w,x))),y)),v,non_ordered_pair(w,x)),x)** equal(f22(second(f23(cross_product(u,image(v,non_ordered_pair(w,x))),y)),v,non_ordered_pair(w,x)),w)**. % 300.16/300.42 43077[0:Res:426.1,1443.0] || member(u,range_of(intersection(image(v,non_ordered_pair(w,x)),y))) -> equal(f22(f27(u,intersection(image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),x)** equal(f22(f27(u,intersection(image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),w)**. % 300.16/300.42 43075[0:Res:455.1,1443.0] || member(u,sigma(intersection(image(v,non_ordered_pair(w,x)),y))) -> equal(f22(f16(u,intersection(image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),x)** equal(f22(f16(u,intersection(image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),w)**. % 300.16/300.42 43073[0:Res:493.1,1443.0] || member(u,domain_of(intersection(image(v,non_ordered_pair(w,x)),y))) -> equal(f22(f8(u,intersection(image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),x)** equal(f22(f8(u,intersection(image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),w)**. % 300.16/300.42 43553[0:Res:5356.4,4120.1] little_set(u) little_set(v) little_set(second(f8(ordered_pair(v,u),w))) || member(ordered_pair(v,ordered_pair(u,second(f8(ordered_pair(v,u),w)))),x)* member(ordered_pair(v,u),domain_of(w)) -> member(f8(ordered_pair(v,u),w),converse(rotate_right(x))). % 300.16/300.42 43718[0:Res:6051.4,4120.1] little_set(u) little_set(v) little_set(second(f8(ordered_pair(v,u),w))) || member(ordered_pair(second(f8(ordered_pair(v,u),w)),ordered_pair(u,v)),x)* member(ordered_pair(v,u),domain_of(w)) -> member(f8(ordered_pair(v,u),w),converse(flip_range_of(x))). % 300.16/300.42 47260[0:Res:281.1,1558.0] || -> disjoint(u,intersection(v,image(non_ordered_pair(w,x),y))) equal(first(f22(f23(u,intersection(v,image(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y)),x)** equal(first(f22(f23(u,intersection(v,image(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.42 47226[0:Res:278.1,1558.0] || -> subset(intersection(u,image(non_ordered_pair(v,w),x)),y) equal(first(f22(f17(intersection(u,image(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x)),w)** equal(first(f22(f17(intersection(u,image(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 47223[0:Res:277.1,1558.0] || -> disjoint(intersection(u,image(non_ordered_pair(v,w),x)),y) equal(first(f22(f23(intersection(u,image(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x)),w)** equal(first(f22(f23(intersection(u,image(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 47221[0:Res:289.1,1558.0] || -> disjoint(u,intersection(image(non_ordered_pair(v,w),x),y)) equal(first(f22(f23(u,intersection(image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f23(u,intersection(image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 47190[0:Res:285.1,1558.0] || -> disjoint(intersection(image(non_ordered_pair(u,v),w),x),y) equal(first(f22(f23(intersection(image(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w)),v)** equal(first(f22(f23(intersection(image(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 47188[0:Res:286.1,1558.0] || -> subset(intersection(image(non_ordered_pair(u,v),w),x),y) equal(first(f22(f17(intersection(image(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w)),v)** equal(first(f22(f17(intersection(image(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 47382[0:Res:3837.1,1009.0] || subset(u,v) -> equal(non_ordered_pair(w,x),converse(u)) equal(f1(non_ordered_pair(w,x),converse(u)),x) equal(f1(non_ordered_pair(w,x),converse(u)),w) member(ordered_pair(second(f1(non_ordered_pair(w,x),converse(u))),first(f1(non_ordered_pair(w,x),converse(u)))),v)*. % 300.16/300.42 47380[0:Res:3837.1,8.0] || -> equal(non_ordered_pair(u,v),non_ordered_pair(w,x)) equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),v)** equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),u)** equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),x)** equal(f1(non_ordered_pair(u,v),non_ordered_pair(w,x)),w)**. % 300.16/300.42 47827[0:Res:3819.1,1009.0] || subset(u,v) -> equal(converse(u),non_ordered_pair(w,x)) equal(f1(converse(u),non_ordered_pair(w,x)),x) equal(f1(converse(u),non_ordered_pair(w,x)),w) member(ordered_pair(second(f1(converse(u),non_ordered_pair(w,x))),first(f1(converse(u),non_ordered_pair(w,x)))),v)*. % 300.16/300.42 58811[16:Rew:54986.0,51634.0] || -> equal(cross_product(image(non_ordered_pair(u,v),w),x),a) equal(first(f22(first(f24(cross_product(image(non_ordered_pair(u,v),w),x))),non_ordered_pair(u,v),w)),v)** equal(first(f22(first(f24(cross_product(image(non_ordered_pair(u,v),w),x))),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 58812[16:Rew:54986.0,51635.0] || -> equal(cross_product(u,image(non_ordered_pair(v,w),x)),a) equal(first(f22(second(f24(cross_product(u,image(non_ordered_pair(v,w),x)))),non_ordered_pair(v,w),x)),w)** equal(first(f22(second(f24(cross_product(u,image(non_ordered_pair(v,w),x)))),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 64287[0:Res:4628.1,1354.0] || member(u,flip_range_of(cross_product(v,image(w,cross_product(x,y))))) -> member(second(ordered_pair(f12(u,cross_product(v,image(w,cross_product(x,y)))),ordered_pair(f14(u,cross_product(v,image(w,cross_product(x,y)))),f13(u,cross_product(v,image(w,cross_product(x,y))))))),y)*. % 300.16/300.42 64394[0:Res:4627.1,1354.0] || member(u,flip_range_of(cross_product(image(v,cross_product(w,x)),y))) -> member(first(ordered_pair(f12(u,cross_product(image(v,cross_product(w,x)),y)),ordered_pair(f14(u,cross_product(image(v,cross_product(w,x)),y)),f13(u,cross_product(image(v,cross_product(w,x)),y))))),x)*. % 300.16/300.42 64543[0:Res:4776.1,1354.0] || member(u,rotate_right(cross_product(v,image(w,cross_product(x,y))))) -> member(second(ordered_pair(f10(u,cross_product(v,image(w,cross_product(x,y)))),ordered_pair(f11(u,cross_product(v,image(w,cross_product(x,y)))),f9(u,cross_product(v,image(w,cross_product(x,y))))))),y)*. % 300.16/300.42 64653[0:Res:4775.1,1354.0] || member(u,rotate_right(cross_product(image(v,cross_product(w,x)),y))) -> member(first(ordered_pair(f10(u,cross_product(image(v,cross_product(w,x)),y)),ordered_pair(f11(u,cross_product(image(v,cross_product(w,x)),y)),f9(u,cross_product(image(v,cross_product(w,x)),y))))),x)*. % 300.16/300.42 66625[0:Res:3651.2,5358.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(f2(u),ordered_pair(f3(u),v)),cross_product(x,universal_set))* member(ordered_pair(f2(u),ordered_pair(f3(u),v)),y)* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(restrict(y,x)))*. % 300.16/300.42 66650[0:SSi:66607.0,3910.1,14.0,3910.1,15.2,371.1,15.0,371.1,14.0,3910.1,15.2,371.1,15.2] ordered_pair_predicate(u) little_set(v) little_set(w) || member(second(ordered_pair(f2(u),ordered_pair(f3(u),v))),x)* member(first(ordered_pair(f2(u),ordered_pair(f3(u),v))),y)* equal(w,ordered_pair(v,u))* -> member(w,rotate_right(cross_product(y,x)))*. % 300.16/300.42 66785[0:Res:3651.2,6053.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f3(u),f2(u))),cross_product(x,universal_set))* member(ordered_pair(v,ordered_pair(f3(u),f2(u))),y)* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(restrict(y,x)))*. % 300.16/300.42 66815[0:SSi:66767.0,3910.1,3910.1,15.0,14.1,371.1,15.2,14.0,371.1,3910.1,15.0,14.1,371.1,15.2,14.2] ordered_pair_predicate(u) little_set(v) little_set(w) || member(second(ordered_pair(v,ordered_pair(f3(u),f2(u)))),x)* member(first(ordered_pair(v,ordered_pair(f3(u),f2(u)))),y)* equal(w,ordered_pair(v,u))* -> member(w,flip_range_of(cross_product(y,x)))*. % 300.16/300.42 67199[0:Res:67.1,5361.3] little_set(u) || member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),sigma(x)) member(v,rotate_right(w)) equal(u,v) -> member(u,rotate_right(f16(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x)))*. % 300.16/300.42 67198[0:Res:21.1,5361.3] little_set(u) || member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),first(x)) member(v,rotate_right(w)) equal(u,v) -> member(u,rotate_right(f4(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x)))*. % 300.16/300.42 67197[0:Res:26.1,5361.3] little_set(u) || member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),second(x)) member(v,rotate_right(w)) equal(u,v) -> member(u,rotate_right(f7(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x)))*. % 300.16/300.42 67286[0:Res:67.1,5362.3] little_set(u) || member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),sigma(x)) member(v,flip_range_of(w)) equal(u,v) -> member(u,rotate_right(f16(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x)))*. % 300.16/300.42 67285[0:Res:21.1,5362.3] little_set(u) || member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),first(x)) member(v,flip_range_of(w)) equal(u,v) -> member(u,rotate_right(f4(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x)))*. % 300.16/300.42 67284[0:Res:26.1,5362.3] little_set(u) || member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),second(x)) member(v,flip_range_of(w)) equal(u,v) -> member(u,rotate_right(f7(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x)))*. % 300.16/300.42 67351[0:Res:67.1,6056.3] little_set(u) || member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),sigma(x)) member(v,rotate_right(w)) equal(u,v) -> member(u,flip_range_of(f16(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x)))*. % 300.16/300.42 67350[0:Res:21.1,6056.3] little_set(u) || member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),first(x)) member(v,rotate_right(w)) equal(u,v) -> member(u,flip_range_of(f4(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x)))*. % 300.16/300.42 67349[0:Res:26.1,6056.3] little_set(u) || member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),second(x)) member(v,rotate_right(w)) equal(u,v) -> member(u,flip_range_of(f7(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x)))*. % 300.16/300.42 67411[0:Res:67.1,6057.3] little_set(u) || member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),sigma(x)) member(v,flip_range_of(w)) equal(u,v) -> member(u,flip_range_of(f16(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x)))*. % 300.16/300.42 67410[0:Res:21.1,6057.3] little_set(u) || member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),first(x)) member(v,flip_range_of(w)) equal(u,v) -> member(u,flip_range_of(f4(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x)))*. % 300.16/300.42 67409[0:Res:26.1,6057.3] little_set(u) || member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),second(x)) member(v,flip_range_of(w)) equal(u,v) -> member(u,flip_range_of(f7(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x)))*. % 300.16/300.42 67696[3:MRR:67676.0,67676.2,132.1,133.1] little_set(u) single_valued_set(apply(v,w)) || member(x,compose(y,second(z))) member(z,v) equal(first(z),w) member(ordered_pair(f31(x,y,second(z)),u),apply(v,w))* -> equal(u,f30(x,y,second(z))). % 300.16/300.42 67754[3:MRR:67734.0,67734.2,133.1,131.1] little_set(u) single_valued_set(apply(v,w)) || member(x,compose(second(y),z)) member(y,v) equal(first(y),w) member(ordered_pair(f29(x,second(y),z),u),apply(v,w))* -> equal(u,f31(x,second(y),z)). % 300.16/300.42 67785[3:Res:35.2,6233.0] little_set(second(f1(u,cross_product(v,complement(w))))) || member(first(f1(u,cross_product(v,complement(w)))),v)* member(f1(u,cross_product(v,complement(w))),u)* -> member(second(f1(u,cross_product(v,complement(w)))),w)* equal(u,cross_product(v,complement(w))). % 300.16/300.42 67878[0:Res:5054.3,5233.4] little_set(u) little_set(v) little_set(w) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(f29(x,y,z),w),u)* member(x,compose(y,z)) member(x,second(ordered_pair(v,u)))* -> equal(w,f30(x,y,z)). % 300.16/300.42 67877[0:Res:5009.3,5233.4] little_set(u) little_set(v) little_set(w) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(f29(x,y,z),w),v)* member(x,compose(y,z)) member(x,first(ordered_pair(v,u)))* -> equal(w,f30(x,y,z)). % 300.16/300.42 67858[16:Res:55527.1,5233.4] little_set(u) single_valued_set(singleton_set(ordered_pair(f29(v,w,x),u))) || member(v,compose(w,x)) member(v,singleton_set(ordered_pair(f29(v,w,x),u)))* -> equal(singleton_set(ordered_pair(f29(v,w,x),u)),a) equal(u,f30(v,w,x)). % 300.16/300.42 68149[0:Res:5257.5,5065.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f7(z,x1))* member(z,second(x1)) equal(x2,x1)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),second(x2))*. % 300.16/300.42 68148[0:Res:5257.5,5064.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f5(z,x1))* member(z,first(x1)) equal(x2,x1)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),second(x2))*. % 300.16/300.42 68147[0:Res:5257.5,5024.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f12(z,x1))* member(z,flip_range_of(x1)) equal(x2,z)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),first(x2))*. % 300.16/300.42 68146[0:Res:5257.5,5022.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f9(z,x1))* member(z,rotate_right(x1)) equal(x2,z)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),first(x2))*. % 300.16/300.42 68145[0:Res:5257.5,5020.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f6(z,x1))* member(z,second(x1)) equal(x2,x1)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),first(x2))*. % 300.16/300.42 68144[0:Res:5257.5,5019.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f4(z,x1))* member(z,first(x1)) equal(x2,x1)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),first(x2))*. % 300.16/300.42 68143[2:Res:5257.5,1467.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,second(f28(z,x1,f33(y,w,x,u,v))))* member(z,apply(x1,f33(y,w,x,u,v))) -> homomorphism(y,w,x,u,v). % 300.16/300.42 68142[3:Res:5257.5,6192.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,second(z))* member(z,x1)* equal(first(z),x2)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),apply(x1,x2))*. % 300.16/300.42 68107[0:Res:5257.5,1020.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(intersection(z,x1)))* -> homomorphism(y,w,x,u,v) member(ordered_pair(second(f33(y,w,x,u,v)),first(f33(y,w,x,u,v))),z)*. % 300.16/300.42 68106[0:Res:5257.5,1021.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(intersection(z,x1)))* -> homomorphism(y,w,x,u,v) member(ordered_pair(second(f33(y,w,x,u,v)),first(f33(y,w,x,u,v))),x1)*. % 300.16/300.42 68252[0:Res:5302.5,5065.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f7(z,x1))* member(z,second(x1)) equal(x2,x1)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),second(x2))*. % 300.16/300.42 68251[0:Res:5302.5,5064.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f5(z,x1))* member(z,first(x1)) equal(x2,x1)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),second(x2))*. % 300.16/300.42 68250[0:Res:5302.5,5024.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f12(z,x1))* member(z,flip_range_of(x1)) equal(x2,z)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),first(x2))*. % 300.16/300.42 68249[0:Res:5302.5,5022.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f9(z,x1))* member(z,rotate_right(x1)) equal(x2,z)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),first(x2))*. % 300.16/300.42 68248[0:Res:5302.5,5020.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f6(z,x1))* member(z,second(x1)) equal(x2,x1)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),first(x2))*. % 300.16/300.42 68247[0:Res:5302.5,5019.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f4(z,x1))* member(z,first(x1)) equal(x2,x1)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),first(x2))*. % 300.16/300.42 68246[2:Res:5302.5,1467.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,second(f28(z,x1,f32(y,w,x,u,v))))* member(z,apply(x1,f32(y,w,x,u,v))) -> homomorphism(y,w,x,u,v). % 300.16/300.42 68245[3:Res:5302.5,6192.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,second(z))* member(z,x1)* equal(first(z),x2)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),apply(x1,x2))*. % 300.16/300.42 68210[0:Res:5302.5,1020.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(intersection(z,x1)))* -> homomorphism(y,w,x,u,v) member(ordered_pair(second(f32(y,w,x,u,v)),first(f32(y,w,x,u,v))),z)*. % 300.16/300.42 68209[0:Res:5302.5,1021.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(intersection(z,x1)))* -> homomorphism(y,w,x,u,v) member(ordered_pair(second(f32(y,w,x,u,v)),first(f32(y,w,x,u,v))),x1)*. % 300.16/300.42 69160[0:Res:33.2,5255.3] || member(f33(u,v,w,x,y),z)* member(f33(u,v,w,x,y),x1)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(intersection(x1,z),v)* -> homomorphism(u,v,w,x,y). % 300.16/300.42 69159[0:Res:120.1,5255.3] || member(f33(u,v,w,x,y),apply(z,x1)) closed(x,y) closed(v,w) maps(u,v,x) disjoint(second(f28(f33(u,v,w,x,y),z,x1)),v)* -> homomorphism(u,v,w,x,y). % 300.16/300.42 69398[0:Res:33.2,5300.3] || member(f32(u,v,w,x,y),z)* member(f32(u,v,w,x,y),x1)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(intersection(x1,z),v)* -> homomorphism(u,v,w,x,y). % 300.16/300.42 69397[0:Res:120.1,5300.3] || member(f32(u,v,w,x,y),apply(z,x1)) closed(x,y) closed(v,w) maps(u,v,x) disjoint(second(f28(f32(u,v,w,x,y),z,x1)),v)* -> homomorphism(u,v,w,x,y). % 300.16/300.42 70462[0:Res:33.2,5163.4] little_set(u) || member(first(f22(v,w,x)),y)* member(first(f22(v,w,x)),z)* member(v,image(w,x)) member(f22(v,w,x),x1)* equal(v,u)* -> member(u,image(intersection(z,y),x1))*. % 300.16/300.42 70461[0:Res:120.1,5163.4] little_set(u) || member(first(f22(v,w,x)),apply(y,z)) member(v,image(w,x)) member(f22(v,w,x),x1) equal(v,u) -> member(u,image(second(f28(first(f22(v,w,x)),y,z)),x1))*. % 300.16/300.42 70559[0:Res:5270.4,282.0] || closed(u,v) closed(intersection(w,restrict(x,y)),z) maps(x1,intersection(w,restrict(x,y)),u) -> homomorphism(x1,intersection(w,restrict(x,y)),z,u,v) member(f33(x1,intersection(w,restrict(x,y)),z,u,v),x)*. % 300.16/300.42 70557[0:Res:5270.4,15955.0] || closed(u,v) closed(intersection(w,sigma(powerset(x))),y) maps(z,intersection(w,sigma(powerset(x))),u) -> homomorphism(z,intersection(w,sigma(powerset(x))),y,u,v) member(f33(z,intersection(w,sigma(powerset(x))),y,u,v),x)*. % 300.16/300.42 70554[0:Res:5270.4,32.0] || closed(u,v) closed(intersection(w,intersection(x,y)),z) maps(x1,intersection(w,intersection(x,y)),u) -> homomorphism(x1,intersection(w,intersection(x,y)),z,u,v) member(f33(x1,intersection(w,intersection(x,y)),z,u,v),y)*. % 300.16/300.42 70553[0:Res:5270.4,31.0] || closed(u,v) closed(intersection(w,intersection(x,y)),z) maps(x1,intersection(w,intersection(x,y)),u) -> homomorphism(x1,intersection(w,intersection(x,y)),z,u,v) member(f33(x1,intersection(w,intersection(x,y)),z,u,v),x)*. % 300.16/300.42 70546[0:Res:5270.4,10964.0] || closed(u,v) closed(intersection(w,complement(complement(x))),y) maps(z,intersection(w,complement(complement(x))),u) -> homomorphism(z,intersection(w,complement(complement(x))),y,u,v) member(f33(z,intersection(w,complement(complement(x))),y,u,v),x)*. % 300.16/300.42 70655[0:Res:5269.4,282.0] || closed(u,v) closed(intersection(restrict(w,x),y),z) maps(x1,intersection(restrict(w,x),y),u) -> homomorphism(x1,intersection(restrict(w,x),y),z,u,v) member(f33(x1,intersection(restrict(w,x),y),z,u,v),w)*. % 300.16/300.42 70653[0:Res:5269.4,15955.0] || closed(u,v) closed(intersection(sigma(powerset(w)),x),y) maps(z,intersection(sigma(powerset(w)),x),u) -> homomorphism(z,intersection(sigma(powerset(w)),x),y,u,v) member(f33(z,intersection(sigma(powerset(w)),x),y,u,v),w)*. % 300.16/300.42 70650[0:Res:5269.4,32.0] || closed(u,v) closed(intersection(intersection(w,x),y),z) maps(x1,intersection(intersection(w,x),y),u) -> homomorphism(x1,intersection(intersection(w,x),y),z,u,v) member(f33(x1,intersection(intersection(w,x),y),z,u,v),x)*. % 300.16/300.42 70649[0:Res:5269.4,31.0] || closed(u,v) closed(intersection(intersection(w,x),y),z) maps(x1,intersection(intersection(w,x),y),u) -> homomorphism(x1,intersection(intersection(w,x),y),z,u,v) member(f33(x1,intersection(intersection(w,x),y),z,u,v),w)*. % 300.16/300.42 70642[0:Res:5269.4,10964.0] || closed(u,v) closed(intersection(complement(complement(w)),x),y) maps(z,intersection(complement(complement(w)),x),u) -> homomorphism(z,intersection(complement(complement(w)),x),y,u,v) member(f33(z,intersection(complement(complement(w)),x),y,u,v),w)*. % 300.16/300.42 70779[0:Res:5315.4,282.0] || closed(u,v) closed(intersection(w,restrict(x,y)),z) maps(x1,intersection(w,restrict(x,y)),u) -> homomorphism(x1,intersection(w,restrict(x,y)),z,u,v) member(f32(x1,intersection(w,restrict(x,y)),z,u,v),x)*. % 300.16/300.42 70777[0:Res:5315.4,15955.0] || closed(u,v) closed(intersection(w,sigma(powerset(x))),y) maps(z,intersection(w,sigma(powerset(x))),u) -> homomorphism(z,intersection(w,sigma(powerset(x))),y,u,v) member(f32(z,intersection(w,sigma(powerset(x))),y,u,v),x)*. % 300.16/300.42 70774[0:Res:5315.4,32.0] || closed(u,v) closed(intersection(w,intersection(x,y)),z) maps(x1,intersection(w,intersection(x,y)),u) -> homomorphism(x1,intersection(w,intersection(x,y)),z,u,v) member(f32(x1,intersection(w,intersection(x,y)),z,u,v),y)*. % 300.16/300.42 70773[0:Res:5315.4,31.0] || closed(u,v) closed(intersection(w,intersection(x,y)),z) maps(x1,intersection(w,intersection(x,y)),u) -> homomorphism(x1,intersection(w,intersection(x,y)),z,u,v) member(f32(x1,intersection(w,intersection(x,y)),z,u,v),x)*. % 300.16/300.42 70766[0:Res:5315.4,10964.0] || closed(u,v) closed(intersection(w,complement(complement(x))),y) maps(z,intersection(w,complement(complement(x))),u) -> homomorphism(z,intersection(w,complement(complement(x))),y,u,v) member(f32(z,intersection(w,complement(complement(x))),y,u,v),x)*. % 300.16/300.42 70859[0:Res:5314.4,282.0] || closed(u,v) closed(intersection(restrict(w,x),y),z) maps(x1,intersection(restrict(w,x),y),u) -> homomorphism(x1,intersection(restrict(w,x),y),z,u,v) member(f32(x1,intersection(restrict(w,x),y),z,u,v),w)*. % 300.16/300.42 70857[0:Res:5314.4,15955.0] || closed(u,v) closed(intersection(sigma(powerset(w)),x),y) maps(z,intersection(sigma(powerset(w)),x),u) -> homomorphism(z,intersection(sigma(powerset(w)),x),y,u,v) member(f32(z,intersection(sigma(powerset(w)),x),y,u,v),w)*. % 300.16/300.42 70854[0:Res:5314.4,32.0] || closed(u,v) closed(intersection(intersection(w,x),y),z) maps(x1,intersection(intersection(w,x),y),u) -> homomorphism(x1,intersection(intersection(w,x),y),z,u,v) member(f32(x1,intersection(intersection(w,x),y),z,u,v),x)*. % 300.16/300.42 70853[0:Res:5314.4,31.0] || closed(u,v) closed(intersection(intersection(w,x),y),z) maps(x1,intersection(intersection(w,x),y),u) -> homomorphism(x1,intersection(intersection(w,x),y),z,u,v) member(f32(x1,intersection(intersection(w,x),y),z,u,v),w)*. % 300.16/300.42 70846[0:Res:5314.4,10964.0] || closed(u,v) closed(intersection(complement(complement(w)),x),y) maps(z,intersection(complement(complement(w)),x),u) -> homomorphism(z,intersection(complement(complement(w)),x),y,u,v) member(f32(z,intersection(complement(complement(w)),x),y,u,v),w)*. % 300.16/300.42 70991[0:Res:67.1,6080.4] little_set(u) little_set(v) || member(ordered_pair(u,f5(w,x)),sigma(y)) member(w,first(x)) equal(v,x) member(ordered_pair(f4(w,x),u),z) -> member(v,compose(z,f16(ordered_pair(u,f5(w,x)),y)))*. % 300.16/300.42 70990[0:Res:21.1,6080.4] little_set(u) little_set(v) || member(ordered_pair(u,f5(w,x)),first(y)) member(w,first(x)) equal(v,x) member(ordered_pair(f4(w,x),u),z) -> member(v,compose(z,f4(ordered_pair(u,f5(w,x)),y)))*. % 300.16/300.42 70989[0:Res:26.1,6080.4] little_set(u) little_set(v) || member(ordered_pair(u,f5(w,x)),second(y)) member(w,first(x)) equal(v,x) member(ordered_pair(f4(w,x),u),z) -> member(v,compose(z,f7(ordered_pair(u,f5(w,x)),y)))*. % 300.16/300.42 71062[0:Res:67.1,6081.4] little_set(u) little_set(v) || member(ordered_pair(u,f7(w,x)),sigma(y)) member(w,second(x)) equal(v,x) member(ordered_pair(f6(w,x),u),z) -> member(v,compose(z,f16(ordered_pair(u,f7(w,x)),y)))*. % 300.16/300.42 71061[0:Res:21.1,6081.4] little_set(u) little_set(v) || member(ordered_pair(u,f7(w,x)),first(y)) member(w,second(x)) equal(v,x) member(ordered_pair(f6(w,x),u),z) -> member(v,compose(z,f4(ordered_pair(u,f7(w,x)),y)))*. % 300.16/300.42 71060[0:Res:26.1,6081.4] little_set(u) little_set(v) || member(ordered_pair(u,f7(w,x)),second(y)) member(w,second(x)) equal(v,x) member(ordered_pair(f6(w,x),u),z) -> member(v,compose(z,f7(ordered_pair(u,f7(w,x)),y)))*. % 300.16/300.42 71371[0:Res:5263.4,4578.0] || closed(u,v) closed(cross_product(w,rotate_right(x)),y) maps(z,cross_product(w,rotate_right(x)),u) equal(x1,second(f33(z,cross_product(w,rotate_right(x)),y,u,v)))* -> homomorphism(z,cross_product(w,rotate_right(x)),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 71369[0:Res:5263.4,4549.0] || closed(u,v) closed(cross_product(w,flip_range_of(x)),y) maps(z,cross_product(w,flip_range_of(x)),u) equal(x1,second(f33(z,cross_product(w,flip_range_of(x)),y,u,v)))* -> homomorphism(z,cross_product(w,flip_range_of(x)),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 71476[0:Res:5262.4,4578.0] || closed(u,v) closed(cross_product(rotate_right(w),x),y) maps(z,cross_product(rotate_right(w),x),u) equal(x1,first(f33(z,cross_product(rotate_right(w),x),y,u,v)))* -> homomorphism(z,cross_product(rotate_right(w),x),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 71474[0:Res:5262.4,4549.0] || closed(u,v) closed(cross_product(flip_range_of(w),x),y) maps(z,cross_product(flip_range_of(w),x),u) equal(x1,first(f33(z,cross_product(flip_range_of(w),x),y,u,v)))* -> homomorphism(z,cross_product(flip_range_of(w),x),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 71622[0:Res:5308.4,4578.0] || closed(u,v) closed(cross_product(w,rotate_right(x)),y) maps(z,cross_product(w,rotate_right(x)),u) equal(x1,second(f32(z,cross_product(w,rotate_right(x)),y,u,v)))* -> homomorphism(z,cross_product(w,rotate_right(x)),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 71620[0:Res:5308.4,4549.0] || closed(u,v) closed(cross_product(w,flip_range_of(x)),y) maps(z,cross_product(w,flip_range_of(x)),u) equal(x1,second(f32(z,cross_product(w,flip_range_of(x)),y,u,v)))* -> homomorphism(z,cross_product(w,flip_range_of(x)),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 71875[0:Res:5307.4,4578.0] || closed(u,v) closed(cross_product(rotate_right(w),x),y) maps(z,cross_product(rotate_right(w),x),u) equal(x1,first(f32(z,cross_product(rotate_right(w),x),y,u,v)))* -> homomorphism(z,cross_product(rotate_right(w),x),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 71873[0:Res:5307.4,4549.0] || closed(u,v) closed(cross_product(flip_range_of(w),x),y) maps(z,cross_product(flip_range_of(w),x),u) equal(x1,first(f32(z,cross_product(flip_range_of(w),x),y,u,v)))* -> homomorphism(z,cross_product(flip_range_of(w),x),y,u,v) ordered_pair_predicate(x1)*. % 300.16/300.42 73514[16:Res:56726.1,4280.0] || disjoint(universal_set,complement(compose(u,non_ordered_pair(v,w)))) -> equal(ordered_pair(f31(powerset(a),u,non_ordered_pair(v,w)),f30(powerset(a),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(powerset(a),u,non_ordered_pair(v,w)),f30(powerset(a),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73513[16:Res:56727.1,4280.0] || disjoint(complement(compose(u,non_ordered_pair(v,w))),universal_set) -> equal(ordered_pair(f31(powerset(a),u,non_ordered_pair(v,w)),f30(powerset(a),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(powerset(a),u,non_ordered_pair(v,w)),f30(powerset(a),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73512[16:Res:56728.1,4280.0] || member(universal_set,powerset(compose(u,non_ordered_pair(v,w)))) -> equal(ordered_pair(f31(powerset(a),u,non_ordered_pair(v,w)),f30(powerset(a),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(powerset(a),u,non_ordered_pair(v,w)),f30(powerset(a),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73510[16:Res:56365.1,4280.0] || disjoint(universal_set,complement(compose(u,non_ordered_pair(v,w)))) -> equal(ordered_pair(f31(singleton_set(a),u,non_ordered_pair(v,w)),f30(singleton_set(a),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(singleton_set(a),u,non_ordered_pair(v,w)),f30(singleton_set(a),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73509[16:Res:56366.1,4280.0] || disjoint(complement(compose(u,non_ordered_pair(v,w))),universal_set) -> equal(ordered_pair(f31(singleton_set(a),u,non_ordered_pair(v,w)),f30(singleton_set(a),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(singleton_set(a),u,non_ordered_pair(v,w)),f30(singleton_set(a),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73508[16:Res:56367.1,4280.0] || member(universal_set,powerset(compose(u,non_ordered_pair(v,w)))) -> equal(ordered_pair(f31(singleton_set(a),u,non_ordered_pair(v,w)),f30(singleton_set(a),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(singleton_set(a),u,non_ordered_pair(v,w)),f30(singleton_set(a),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73503[7:Res:26830.1,4280.0] || disjoint(universal_set,complement(compose(u,non_ordered_pair(v,w)))) -> equal(ordered_pair(f31(sigma(infinity),u,non_ordered_pair(v,w)),f30(sigma(infinity),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(sigma(infinity),u,non_ordered_pair(v,w)),f30(sigma(infinity),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73502[7:Res:26831.1,4280.0] || disjoint(complement(compose(u,non_ordered_pair(v,w))),universal_set) -> equal(ordered_pair(f31(sigma(infinity),u,non_ordered_pair(v,w)),f30(sigma(infinity),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(sigma(infinity),u,non_ordered_pair(v,w)),f30(sigma(infinity),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73501[7:Res:33376.1,4280.0] || member(universal_set,powerset(compose(u,non_ordered_pair(v,w)))) -> equal(ordered_pair(f31(sigma(infinity),u,non_ordered_pair(v,w)),f30(sigma(infinity),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(sigma(infinity),u,non_ordered_pair(v,w)),f30(sigma(infinity),u,non_ordered_pair(v,w))),v)**. % 300.16/300.42 73729[16:Res:56726.1,4355.0] || disjoint(universal_set,complement(compose(non_ordered_pair(u,v),w))) -> equal(ordered_pair(f29(powerset(a),non_ordered_pair(u,v),w),f31(powerset(a),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(powerset(a),non_ordered_pair(u,v),w),f31(powerset(a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73728[16:Res:56727.1,4355.0] || disjoint(complement(compose(non_ordered_pair(u,v),w)),universal_set) -> equal(ordered_pair(f29(powerset(a),non_ordered_pair(u,v),w),f31(powerset(a),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(powerset(a),non_ordered_pair(u,v),w),f31(powerset(a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73727[16:Res:56728.1,4355.0] || member(universal_set,powerset(compose(non_ordered_pair(u,v),w))) -> equal(ordered_pair(f29(powerset(a),non_ordered_pair(u,v),w),f31(powerset(a),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(powerset(a),non_ordered_pair(u,v),w),f31(powerset(a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73725[16:Res:56365.1,4355.0] || disjoint(universal_set,complement(compose(non_ordered_pair(u,v),w))) -> equal(ordered_pair(f29(singleton_set(a),non_ordered_pair(u,v),w),f31(singleton_set(a),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(singleton_set(a),non_ordered_pair(u,v),w),f31(singleton_set(a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73724[16:Res:56366.1,4355.0] || disjoint(complement(compose(non_ordered_pair(u,v),w)),universal_set) -> equal(ordered_pair(f29(singleton_set(a),non_ordered_pair(u,v),w),f31(singleton_set(a),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(singleton_set(a),non_ordered_pair(u,v),w),f31(singleton_set(a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73723[16:Res:56367.1,4355.0] || member(universal_set,powerset(compose(non_ordered_pair(u,v),w))) -> equal(ordered_pair(f29(singleton_set(a),non_ordered_pair(u,v),w),f31(singleton_set(a),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(singleton_set(a),non_ordered_pair(u,v),w),f31(singleton_set(a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73718[7:Res:26830.1,4355.0] || disjoint(universal_set,complement(compose(non_ordered_pair(u,v),w))) -> equal(ordered_pair(f29(sigma(infinity),non_ordered_pair(u,v),w),f31(sigma(infinity),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(sigma(infinity),non_ordered_pair(u,v),w),f31(sigma(infinity),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73717[7:Res:26831.1,4355.0] || disjoint(complement(compose(non_ordered_pair(u,v),w)),universal_set) -> equal(ordered_pair(f29(sigma(infinity),non_ordered_pair(u,v),w),f31(sigma(infinity),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(sigma(infinity),non_ordered_pair(u,v),w),f31(sigma(infinity),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73716[7:Res:33376.1,4355.0] || member(universal_set,powerset(compose(non_ordered_pair(u,v),w))) -> equal(ordered_pair(f29(sigma(infinity),non_ordered_pair(u,v),w),f31(sigma(infinity),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(sigma(infinity),non_ordered_pair(u,v),w),f31(sigma(infinity),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 73992[0:SSi:73958.0,371.0] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),non_ordered_pair(z,x1))* member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),x2)* -> member(v,compose(x2,ordered_pair(z,x1)))*. % 300.16/300.42 74080[0:SSi:74054.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),singleton_set(y))* member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),z)* -> member(v,compose(z,ordered_pair(y,x1)))*. % 300.16/300.42 74190[0:SSi:74164.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),singleton_set(y))* member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),z)* -> member(v,compose(z,ordered_pair(y,x1)))*. % 300.16/300.42 88130[3:Res:82671.1,5233.4] little_set(u) single_valued_set(singleton_set(ordered_pair(f29(v,w,x),u))) || equal(ordered_pair(f29(v,w,x),u),infinity) member(v,compose(w,x)) member(v,singleton_set(ordered_pair(f29(v,w,x),u)))* -> equal(u,f30(v,w,x)). % 300.16/300.42 97133[0:SSi:97047.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(converse(powerset(ordered_pair(second(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x)))),first(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x)))))))))*. % 300.16/300.42 97134[0:SSi:97046.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(converse(powerset(ordered_pair(second(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x)))),first(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x)))))))))*. % 300.16/300.42 97135[3:SSi:97043.0,5742.0,371.0,371.1] little_set(u) little_set(v) || member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(converse(powerset(ordered_pair(second(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u))),first(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u))))))))*. % 300.16/300.42 97136[3:SSi:97042.0,5742.0,371.0,371.1] little_set(u) little_set(v) || member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(converse(powerset(ordered_pair(second(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u))),first(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u))))))))*. % 300.16/300.42 98422[0:Res:8090.0,1558.0] || -> subset(complement(complement(image(non_ordered_pair(u,v),w))),x) equal(first(f22(f17(complement(complement(image(non_ordered_pair(u,v),w))),x),non_ordered_pair(u,v),w)),v)** equal(first(f22(f17(complement(complement(image(non_ordered_pair(u,v),w))),x),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 98538[0:Res:9082.0,1558.0] || -> disjoint(u,complement(complement(image(non_ordered_pair(v,w),x)))) equal(first(f22(f23(u,complement(complement(image(non_ordered_pair(v,w),x)))),non_ordered_pair(v,w),x)),w)** equal(first(f22(f23(u,complement(complement(image(non_ordered_pair(v,w),x)))),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 98728[0:Res:9151.0,1558.0] || -> disjoint(complement(complement(image(non_ordered_pair(u,v),w))),x) equal(first(f22(f23(complement(complement(image(non_ordered_pair(u,v),w))),x),non_ordered_pair(u,v),w)),v)** equal(first(f22(f23(complement(complement(image(non_ordered_pair(u,v),w))),x),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 100801[16:Res:59048.1,1558.0] || -> equal(intersection(image(non_ordered_pair(u,v),w),x),a) equal(first(f22(f1(intersection(image(non_ordered_pair(u,v),w),x),a),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(intersection(image(non_ordered_pair(u,v),w),x),a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 100918[16:Res:59049.1,1558.0] || -> equal(intersection(u,image(non_ordered_pair(v,w),x)),a) equal(first(f22(f1(intersection(u,image(non_ordered_pair(v,w),x)),a),non_ordered_pair(v,w),x)),w)** equal(first(f22(f1(intersection(u,image(non_ordered_pair(v,w),x)),a),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 101019[16:Res:59050.1,1558.0] || -> equal(intersection(image(non_ordered_pair(u,v),w),x),a) equal(first(f22(f1(a,intersection(image(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(a,intersection(image(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 101158[16:Res:59051.1,1558.0] || -> equal(intersection(u,image(non_ordered_pair(v,w),x)),a) equal(first(f22(f1(a,intersection(u,image(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x)),w)** equal(first(f22(f1(a,intersection(u,image(non_ordered_pair(v,w),x))),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 101352[16:Res:59052.1,1558.0] || -> equal(restrict(image(non_ordered_pair(u,v),w),x),a) equal(first(f22(f1(restrict(image(non_ordered_pair(u,v),w),x),a),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(restrict(image(non_ordered_pair(u,v),w),x),a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 101612[16:Res:59053.1,1558.0] || -> equal(restrict(image(non_ordered_pair(u,v),w),x),a) equal(first(f22(f1(a,restrict(image(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(a,restrict(image(non_ordered_pair(u,v),w),x)),non_ordered_pair(u,v),w)),u)**. % 300.16/300.42 105369[0:Res:4783.1,26698.0] || member(u,rotate_right(intersection(v,apply(cross_product(w,x),y)))) -> member(ordered_pair(f10(u,intersection(v,apply(cross_product(w,x),y))),ordered_pair(f11(u,intersection(v,apply(cross_product(w,x),y))),f9(u,intersection(v,apply(cross_product(w,x),y))))),sigma(x))*. % 300.16/300.42 105367[0:Res:4635.1,26698.0] || member(u,flip_range_of(intersection(v,apply(cross_product(w,x),y)))) -> member(ordered_pair(f12(u,intersection(v,apply(cross_product(w,x),y))),ordered_pair(f14(u,intersection(v,apply(cross_product(w,x),y))),f13(u,intersection(v,apply(cross_product(w,x),y))))),sigma(x))*. % 300.16/300.42 105357[0:Res:4782.1,26698.0] || member(u,rotate_right(intersection(apply(cross_product(v,w),x),y))) -> member(ordered_pair(f10(u,intersection(apply(cross_product(v,w),x),y)),ordered_pair(f11(u,intersection(apply(cross_product(v,w),x),y)),f9(u,intersection(apply(cross_product(v,w),x),y)))),sigma(w))*. % 300.16/300.42 105355[0:Res:4634.1,26698.0] || member(u,flip_range_of(intersection(apply(cross_product(v,w),x),y))) -> member(ordered_pair(f12(u,intersection(apply(cross_product(v,w),x),y)),ordered_pair(f14(u,intersection(apply(cross_product(v,w),x),y)),f13(u,intersection(apply(cross_product(v,w),x),y)))),sigma(w))*. % 300.16/300.42 105349[0:Res:3837.1,26698.0] || -> equal(non_ordered_pair(u,v),apply(cross_product(w,x),y)) equal(f1(non_ordered_pair(u,v),apply(cross_product(w,x),y)),v) equal(f1(non_ordered_pair(u,v),apply(cross_product(w,x),y)),u) member(f1(non_ordered_pair(u,v),apply(cross_product(w,x),y)),sigma(x))*. % 300.16/300.42 105255[0:Res:3819.1,26698.0] || -> equal(apply(cross_product(u,v),w),non_ordered_pair(x,y)) equal(f1(apply(cross_product(u,v),w),non_ordered_pair(x,y)),y) equal(f1(apply(cross_product(u,v),w),non_ordered_pair(x,y)),x) member(f1(apply(cross_product(u,v),w),non_ordered_pair(x,y)),sigma(v))*. % 300.16/300.42 14886[0:Res:136.1,1020.0] || member(u,compose(v,converse(intersection(w,x)))) -> member(ordered_pair(second(ordered_pair(f31(u,v,converse(intersection(w,x))),f30(u,v,converse(intersection(w,x))))),first(ordered_pair(f31(u,v,converse(intersection(w,x))),f30(u,v,converse(intersection(w,x)))))),w)*. % 300.16/300.42 14881[0:Res:135.1,1020.0] || member(u,compose(converse(intersection(v,w)),x)) -> member(ordered_pair(second(ordered_pair(f29(u,converse(intersection(v,w)),x),f31(u,converse(intersection(v,w)),x))),first(ordered_pair(f29(u,converse(intersection(v,w)),x),f31(u,converse(intersection(v,w)),x)))),v)*. % 300.16/300.42 14992[0:Res:136.1,1021.0] || member(u,compose(v,converse(intersection(w,x)))) -> member(ordered_pair(second(ordered_pair(f31(u,v,converse(intersection(w,x))),f30(u,v,converse(intersection(w,x))))),first(ordered_pair(f31(u,v,converse(intersection(w,x))),f30(u,v,converse(intersection(w,x)))))),x)*. % 300.16/300.42 14987[0:Res:135.1,1021.0] || member(u,compose(converse(intersection(v,w)),x)) -> member(ordered_pair(second(ordered_pair(f29(u,converse(intersection(v,w)),x),f31(u,converse(intersection(v,w)),x))),first(ordered_pair(f29(u,converse(intersection(v,w)),x),f31(u,converse(intersection(v,w)),x)))),w)*. % 300.16/300.42 21456[0:Res:540.1,1020.0] || -> single_valued_set(cross_product(u,converse(intersection(v,w)))) member(ordered_pair(second(second(ordered_pair(f19(cross_product(u,converse(intersection(v,w)))),f21(cross_product(u,converse(intersection(v,w))))))),first(second(ordered_pair(f19(cross_product(u,converse(intersection(v,w)))),f21(cross_product(u,converse(intersection(v,w)))))))),v)*. % 300.16/300.42 21455[0:Res:540.1,1021.0] || -> single_valued_set(cross_product(u,converse(intersection(v,w)))) member(ordered_pair(second(second(ordered_pair(f19(cross_product(u,converse(intersection(v,w)))),f21(cross_product(u,converse(intersection(v,w))))))),first(second(ordered_pair(f19(cross_product(u,converse(intersection(v,w)))),f21(cross_product(u,converse(intersection(v,w)))))))),w)*. % 300.16/300.42 21616[0:Res:541.1,1020.0] || -> single_valued_set(cross_product(u,converse(intersection(v,w)))) member(ordered_pair(second(second(ordered_pair(f19(cross_product(u,converse(intersection(v,w)))),f20(cross_product(u,converse(intersection(v,w))))))),first(second(ordered_pair(f19(cross_product(u,converse(intersection(v,w)))),f20(cross_product(u,converse(intersection(v,w)))))))),v)*. % 300.16/300.42 21615[0:Res:541.1,1021.0] || -> single_valued_set(cross_product(u,converse(intersection(v,w)))) member(ordered_pair(second(second(ordered_pair(f19(cross_product(u,converse(intersection(v,w)))),f20(cross_product(u,converse(intersection(v,w))))))),first(second(ordered_pair(f19(cross_product(u,converse(intersection(v,w)))),f20(cross_product(u,converse(intersection(v,w)))))))),w)*. % 300.16/300.42 21695[0:Res:553.1,1020.0] || -> single_valued_set(cross_product(converse(intersection(u,v)),w)) member(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(intersection(u,v)),w)),f21(cross_product(converse(intersection(u,v)),w))))),first(first(ordered_pair(f19(cross_product(converse(intersection(u,v)),w)),f21(cross_product(converse(intersection(u,v)),w)))))),u)*. % 300.16/300.42 21694[0:Res:553.1,1021.0] || -> single_valued_set(cross_product(converse(intersection(u,v)),w)) member(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(intersection(u,v)),w)),f21(cross_product(converse(intersection(u,v)),w))))),first(first(ordered_pair(f19(cross_product(converse(intersection(u,v)),w)),f21(cross_product(converse(intersection(u,v)),w)))))),v)*. % 300.16/300.42 21784[0:Res:554.1,1020.0] || -> single_valued_set(cross_product(converse(intersection(u,v)),w)) member(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(intersection(u,v)),w)),f20(cross_product(converse(intersection(u,v)),w))))),first(first(ordered_pair(f19(cross_product(converse(intersection(u,v)),w)),f20(cross_product(converse(intersection(u,v)),w)))))),u)*. % 300.16/300.42 21783[0:Res:554.1,1021.0] || -> single_valued_set(cross_product(converse(intersection(u,v)),w)) member(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(intersection(u,v)),w)),f20(cross_product(converse(intersection(u,v)),w))))),first(first(ordered_pair(f19(cross_product(converse(intersection(u,v)),w)),f20(cross_product(converse(intersection(u,v)),w)))))),v)*. % 300.16/300.42 24342[0:Res:52.1,1163.0] || member(u,rotate_right(converse(v))) member(v,w) -> member(ordered_pair(second(ordered_pair(f10(u,converse(v)),ordered_pair(f11(u,converse(v)),f9(u,converse(v))))),first(ordered_pair(f10(u,converse(v)),ordered_pair(f11(u,converse(v)),f9(u,converse(v)))))),sigma(w))*. % 300.16/300.42 24341[0:Res:58.1,1163.0] || member(u,flip_range_of(converse(v))) member(v,w) -> member(ordered_pair(second(ordered_pair(f12(u,converse(v)),ordered_pair(f14(u,converse(v)),f13(u,converse(v))))),first(ordered_pair(f12(u,converse(v)),ordered_pair(f14(u,converse(v)),f13(u,converse(v)))))),sigma(w))*. % 300.16/300.42 28560[0:Res:136.1,3811.0] || member(u,compose(v,w)) -> equal(x,ordered_pair(f31(u,v,w),f30(u,v,w))) member(f1(x,ordered_pair(f31(u,v,w),f30(u,v,w))),x)* member(f1(x,ordered_pair(f31(u,v,w),f30(u,v,w))),sigma(w))*. % 300.16/300.42 28552[0:Res:135.1,3811.0] || member(u,compose(v,w)) -> equal(x,ordered_pair(f29(u,v,w),f31(u,v,w))) member(f1(x,ordered_pair(f29(u,v,w),f31(u,v,w))),x)* member(f1(x,ordered_pair(f29(u,v,w),f31(u,v,w))),sigma(v))*. % 300.16/300.42 28937[0:Res:136.1,3829.0] || member(u,compose(v,w)) -> equal(ordered_pair(f31(u,v,w),f30(u,v,w)),x) member(f1(ordered_pair(f31(u,v,w),f30(u,v,w)),x),x)* member(f1(ordered_pair(f31(u,v,w),f30(u,v,w)),x),sigma(w))*. % 300.16/300.42 28929[0:Res:135.1,3829.0] || member(u,compose(v,w)) -> equal(ordered_pair(f29(u,v,w),f31(u,v,w)),x) member(f1(ordered_pair(f29(u,v,w),f31(u,v,w)),x),x)* member(f1(ordered_pair(f29(u,v,w),f31(u,v,w)),x),sigma(v))*. % 300.16/300.42 40275[0:Res:554.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(cross_product(ordered_pair(f10(u,v),f11(u,v)),x)) member(first(ordered_pair(f19(cross_product(ordered_pair(f10(u,v),f11(u,v)),x)),f20(cross_product(ordered_pair(f10(u,v),f11(u,v)),x)))),second(w))*. % 300.16/300.42 40274[0:Res:553.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(cross_product(ordered_pair(f10(u,v),f11(u,v)),x)) member(first(ordered_pair(f19(cross_product(ordered_pair(f10(u,v),f11(u,v)),x)),f21(cross_product(ordered_pair(f10(u,v),f11(u,v)),x)))),second(w))*. % 300.16/300.42 40223[0:Res:541.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(cross_product(x,ordered_pair(f10(u,v),f11(u,v)))) member(second(ordered_pair(f19(cross_product(x,ordered_pair(f10(u,v),f11(u,v)))),f20(cross_product(x,ordered_pair(f10(u,v),f11(u,v)))))),second(w))*. % 300.16/300.42 40222[0:Res:540.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> single_valued_set(cross_product(x,ordered_pair(f10(u,v),f11(u,v)))) member(second(ordered_pair(f19(cross_product(x,ordered_pair(f10(u,v),f11(u,v)))),f21(cross_product(x,ordered_pair(f10(u,v),f11(u,v)))))),second(w))*. % 300.16/300.42 40216[0:Res:3839.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(powerset(x),ordered_pair(f10(u,v),f11(u,v))) subset(f1(powerset(x),ordered_pair(f10(u,v),f11(u,v))),x)* member(f1(powerset(x),ordered_pair(f10(u,v),f11(u,v))),second(w))*. % 300.16/300.42 40177[0:Res:3821.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(ordered_pair(f10(u,v),f11(u,v)),powerset(x)) subset(f1(ordered_pair(f10(u,v),f11(u,v)),powerset(x)),x)* member(f1(ordered_pair(f10(u,v),f11(u,v)),powerset(x)),second(w))*. % 300.16/300.42 40455[0:Res:554.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(cross_product(ordered_pair(f13(u,v),f14(u,v)),x)) member(first(ordered_pair(f19(cross_product(ordered_pair(f13(u,v),f14(u,v)),x)),f20(cross_product(ordered_pair(f13(u,v),f14(u,v)),x)))),second(w))*. % 300.16/300.42 40454[0:Res:553.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(cross_product(ordered_pair(f13(u,v),f14(u,v)),x)) member(first(ordered_pair(f19(cross_product(ordered_pair(f13(u,v),f14(u,v)),x)),f21(cross_product(ordered_pair(f13(u,v),f14(u,v)),x)))),second(w))*. % 300.16/300.42 40403[0:Res:541.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(cross_product(x,ordered_pair(f13(u,v),f14(u,v)))) member(second(ordered_pair(f19(cross_product(x,ordered_pair(f13(u,v),f14(u,v)))),f20(cross_product(x,ordered_pair(f13(u,v),f14(u,v)))))),second(w))*. % 300.16/300.42 40402[0:Res:540.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> single_valued_set(cross_product(x,ordered_pair(f13(u,v),f14(u,v)))) member(second(ordered_pair(f19(cross_product(x,ordered_pair(f13(u,v),f14(u,v)))),f21(cross_product(x,ordered_pair(f13(u,v),f14(u,v)))))),second(w))*. % 300.16/300.42 40396[0:Res:3839.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(powerset(x),ordered_pair(f13(u,v),f14(u,v))) subset(f1(powerset(x),ordered_pair(f13(u,v),f14(u,v))),x)* member(f1(powerset(x),ordered_pair(f13(u,v),f14(u,v))),second(w))*. % 300.16/300.42 40357[0:Res:3821.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(ordered_pair(f13(u,v),f14(u,v)),powerset(x)) subset(f1(ordered_pair(f13(u,v),f14(u,v)),powerset(x)),x)* member(f1(ordered_pair(f13(u,v),f14(u,v)),powerset(x)),second(w))*. % 300.16/300.42 42082[3:Res:1556.1,6212.0] || member(u,image(intersection(v,converse(second(w))),x)) member(w,y) equal(first(w),z) -> member(ordered_pair(second(first(f22(u,intersection(v,converse(second(w))),x))),first(first(f22(u,intersection(v,converse(second(w))),x)))),apply(y,z))*. % 300.16/300.42 42081[3:Res:1344.1,6212.0] || member(u,image(v,cross_product(converse(second(w)),x))) member(w,y) equal(first(w),z) -> member(ordered_pair(second(first(f22(u,v,cross_product(converse(second(w)),x)))),first(first(f22(u,v,cross_product(converse(second(w)),x))))),apply(y,z))*. % 300.16/300.42 42078[3:Res:1555.1,6212.0] || member(u,image(intersection(converse(second(v)),w),x)) member(v,y) equal(first(v),z) -> member(ordered_pair(second(first(f22(u,intersection(converse(second(v)),w),x))),first(first(f22(u,intersection(converse(second(v)),w),x)))),apply(y,z))*. % 300.16/300.42 42027[3:Res:1280.1,6212.0] || member(u,apply(cross_product(v,converse(second(w))),x)) member(w,y) equal(first(w),z) -> member(ordered_pair(second(second(f28(u,cross_product(v,converse(second(w))),x))),first(second(f28(u,cross_product(v,converse(second(w))),x)))),apply(y,z))*. % 300.16/300.42 42396[0:Res:4279.1,5066.1] || member(u,compose(v,cross_product(w,f30(x,y,z)))) member(x,compose(y,z)) equal(x1,x) -> member(second(ordered_pair(f31(u,v,cross_product(w,f30(x,y,z))),f30(u,v,cross_product(w,f30(x,y,z))))),second(x1))*. % 300.16/300.42 42395[0:Res:4279.1,5025.1] || member(u,compose(v,cross_product(w,f29(x,y,z)))) member(x,compose(y,z)) equal(x1,x) -> member(second(ordered_pair(f31(u,v,cross_product(w,f29(x,y,z))),f30(u,v,cross_product(w,f29(x,y,z))))),first(x1))*. % 300.16/300.42 42507[0:Res:4278.1,5066.1] || member(u,compose(v,cross_product(f30(w,x,y),z))) member(w,compose(x,y)) equal(x1,w) -> member(first(ordered_pair(f31(u,v,cross_product(f30(w,x,y),z)),f30(u,v,cross_product(f30(w,x,y),z)))),second(x1))*. % 300.16/300.42 42506[0:Res:4278.1,5025.1] || member(u,compose(v,cross_product(f29(w,x,y),z))) member(w,compose(x,y)) equal(x1,w) -> member(first(ordered_pair(f31(u,v,cross_product(f29(w,x,y),z)),f30(u,v,cross_product(f29(w,x,y),z)))),first(x1))*. % 300.16/300.42 42654[0:Res:4354.1,5066.1] || member(u,compose(cross_product(v,f30(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(second(ordered_pair(f29(u,cross_product(v,f30(w,x,y)),z),f31(u,cross_product(v,f30(w,x,y)),z))),second(x1))*. % 300.16/300.42 42653[0:Res:4354.1,5025.1] || member(u,compose(cross_product(v,f29(w,x,y)),z)) member(w,compose(x,y)) equal(x1,w) -> member(second(ordered_pair(f29(u,cross_product(v,f29(w,x,y)),z),f31(u,cross_product(v,f29(w,x,y)),z))),first(x1))*. % 300.16/300.42 42796[0:Res:4353.1,5066.1] || member(u,compose(cross_product(f30(v,w,x),y),z)) member(v,compose(w,x)) equal(x1,v) -> member(first(ordered_pair(f29(u,cross_product(f30(v,w,x),y),z),f31(u,cross_product(f30(v,w,x),y),z))),second(x1))*. % 300.16/300.42 42795[0:Res:4353.1,5025.1] || member(u,compose(cross_product(f29(v,w,x),y),z)) member(v,compose(w,x)) equal(x1,v) -> member(first(ordered_pair(f29(u,cross_product(f29(v,w,x),y),z),f31(u,cross_product(f29(v,w,x),y),z))),first(x1))*. % 300.16/300.42 42903[0:Res:6.1,1442.0] || -> equal(u,apply(non_ordered_pair(v,w),x)) member(f1(u,apply(non_ordered_pair(v,w),x)),u)* equal(f28(f1(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),w)** equal(f28(f1(u,apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),v)**. % 300.16/300.42 42862[0:Res:6.2,1442.0] || -> equal(apply(non_ordered_pair(u,v),w),x) member(f1(apply(non_ordered_pair(u,v),w),x),x)* equal(f28(f1(apply(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w),v)** equal(f28(f1(apply(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w),u)**. % 300.16/300.42 43080[0:Res:6.1,1443.0] || -> equal(u,image(v,non_ordered_pair(w,x))) member(f1(u,image(v,non_ordered_pair(w,x))),u)* equal(f22(f1(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),x)** equal(f22(f1(u,image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),w)**. % 300.16/300.42 43039[0:Res:6.2,1443.0] || -> equal(image(u,non_ordered_pair(v,w)),x) member(f1(image(u,non_ordered_pair(v,w)),x),x)* equal(f22(f1(image(u,non_ordered_pair(v,w)),x),u,non_ordered_pair(v,w)),w)** equal(f22(f1(image(u,non_ordered_pair(v,w)),x),u,non_ordered_pair(v,w)),v)**. % 300.16/300.42 43427[0:Res:4108.2,3653.2] ordered_pair_predicate(intersection(u,v)) || member(ordered_pair(second(intersection(u,v)),first(intersection(u,v))),apply(w,x)) member(y,v) member(y,u) -> member(y,sigma(converse(second(f28(ordered_pair(second(intersection(u,v)),first(intersection(u,v))),w,x)))))*. % 300.16/300.42 43483[3:SSi:43414.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),apply(v,w)) member(u,converse(x)) disjoint(converse(second(f28(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v,w))),x)* -> . % 300.16/300.42 43538[0:Res:5356.4,3811.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x) -> equal(y,ordered_pair(w,ordered_pair(v,u))) member(f1(y,ordered_pair(w,ordered_pair(v,u))),y)* member(f1(y,ordered_pair(w,ordered_pair(v,u))),sigma(rotate_right(x)))*. % 300.16/300.42 43537[0:Res:5356.4,3829.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(u,w)),x) -> equal(ordered_pair(w,ordered_pair(v,u)),y) member(f1(ordered_pair(w,ordered_pair(v,u)),y),y)* member(f1(ordered_pair(w,ordered_pair(v,u)),y),sigma(rotate_right(x)))*. % 300.16/300.42 43703[0:Res:6051.4,3811.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x) -> equal(y,ordered_pair(w,ordered_pair(v,u))) member(f1(y,ordered_pair(w,ordered_pair(v,u))),y)* member(f1(y,ordered_pair(w,ordered_pair(v,u))),sigma(flip_range_of(x)))*. % 300.16/300.42 43702[0:Res:6051.4,3829.0] little_set(u) little_set(v) little_set(w) || member(ordered_pair(w,ordered_pair(u,v)),x) -> equal(ordered_pair(w,ordered_pair(v,u)),y) member(f1(ordered_pair(w,ordered_pair(v,u)),y),y)* member(f1(ordered_pair(w,ordered_pair(v,u)),y),sigma(flip_range_of(x)))*. % 300.16/300.42 43815[3:Res:6214.3,3811.0] || member(u,image(v,second(w))) member(w,x) equal(first(w),y) -> equal(z,f22(u,v,second(w))) member(f1(z,f22(u,v,second(w))),z)* member(f1(z,f22(u,v,second(w))),sigma(apply(x,y)))*. % 300.16/300.42 43814[3:Res:6214.3,3829.0] || member(u,image(v,second(w))) member(w,x) equal(first(w),y) -> equal(f22(u,v,second(w)),z) member(f1(f22(u,v,second(w)),z),z)* member(f1(f22(u,v,second(w)),z),sigma(apply(x,y)))*. % 300.16/300.42 43875[3:Res:6215.3,3811.0] || member(u,apply(second(v),w)) member(v,x) equal(first(v),y) -> equal(z,f28(u,second(v),w)) member(f1(z,f28(u,second(v),w)),z)* member(f1(z,f28(u,second(v),w)),sigma(apply(x,y)))*. % 300.16/300.42 43874[3:Res:6215.3,3829.0] || member(u,apply(second(v),w)) member(v,x) equal(first(v),y) -> equal(f28(u,second(v),w),z) member(f1(f28(u,second(v),w),z),z)* member(f1(f28(u,second(v),w),z),sigma(apply(x,y)))*. % 300.16/300.42 44233[3:Res:6216.3,1442.0] || member(u,image(second(v),w)) member(v,non_ordered_pair(x,y)) equal(first(v),z) -> equal(f28(first(f22(u,second(v),w)),non_ordered_pair(x,y),z),y)** equal(f28(first(f22(u,second(v),w)),non_ordered_pair(x,y),z),x)**. % 300.16/300.42 44357[0:Res:4635.1,5065.1] || member(u,flip_range_of(intersection(v,f7(w,x)))) member(w,second(x)) equal(y,x) -> member(ordered_pair(f12(u,intersection(v,f7(w,x))),ordered_pair(f14(u,intersection(v,f7(w,x))),f13(u,intersection(v,f7(w,x))))),second(y))*. % 300.16/300.42 44356[0:Res:4635.1,5064.1] || member(u,flip_range_of(intersection(v,f5(w,x)))) member(w,first(x)) equal(y,x) -> member(ordered_pair(f12(u,intersection(v,f5(w,x))),ordered_pair(f14(u,intersection(v,f5(w,x))),f13(u,intersection(v,f5(w,x))))),second(y))*. % 300.16/300.42 44355[0:Res:4635.1,5024.1] || member(u,flip_range_of(intersection(v,f12(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(ordered_pair(f12(u,intersection(v,f12(w,x))),ordered_pair(f14(u,intersection(v,f12(w,x))),f13(u,intersection(v,f12(w,x))))),first(y))*. % 300.16/300.42 44354[0:Res:4635.1,5022.1] || member(u,flip_range_of(intersection(v,f9(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(ordered_pair(f12(u,intersection(v,f9(w,x))),ordered_pair(f14(u,intersection(v,f9(w,x))),f13(u,intersection(v,f9(w,x))))),first(y))*. % 300.16/300.42 44353[0:Res:4635.1,5020.1] || member(u,flip_range_of(intersection(v,f6(w,x)))) member(w,second(x)) equal(y,x) -> member(ordered_pair(f12(u,intersection(v,f6(w,x))),ordered_pair(f14(u,intersection(v,f6(w,x))),f13(u,intersection(v,f6(w,x))))),first(y))*. % 300.16/300.42 44352[0:Res:4635.1,5019.1] || member(u,flip_range_of(intersection(v,f4(w,x)))) member(w,first(x)) equal(y,x) -> member(ordered_pair(f12(u,intersection(v,f4(w,x))),ordered_pair(f14(u,intersection(v,f4(w,x))),f13(u,intersection(v,f4(w,x))))),first(y))*. % 300.16/300.42 44612[0:Res:4634.1,5065.1] || member(u,flip_range_of(intersection(f7(v,w),x))) member(v,second(w)) equal(y,w) -> member(ordered_pair(f12(u,intersection(f7(v,w),x)),ordered_pair(f14(u,intersection(f7(v,w),x)),f13(u,intersection(f7(v,w),x)))),second(y))*. % 300.16/300.42 44611[0:Res:4634.1,5064.1] || member(u,flip_range_of(intersection(f5(v,w),x))) member(v,first(w)) equal(y,w) -> member(ordered_pair(f12(u,intersection(f5(v,w),x)),ordered_pair(f14(u,intersection(f5(v,w),x)),f13(u,intersection(f5(v,w),x)))),second(y))*. % 300.16/300.42 44610[0:Res:4634.1,5024.1] || member(u,flip_range_of(intersection(f12(v,w),x))) member(v,flip_range_of(w)) equal(y,v) -> member(ordered_pair(f12(u,intersection(f12(v,w),x)),ordered_pair(f14(u,intersection(f12(v,w),x)),f13(u,intersection(f12(v,w),x)))),first(y))*. % 300.16/300.42 44609[0:Res:4634.1,5022.1] || member(u,flip_range_of(intersection(f9(v,w),x))) member(v,rotate_right(w)) equal(y,v) -> member(ordered_pair(f12(u,intersection(f9(v,w),x)),ordered_pair(f14(u,intersection(f9(v,w),x)),f13(u,intersection(f9(v,w),x)))),first(y))*. % 300.16/300.42 44608[0:Res:4634.1,5020.1] || member(u,flip_range_of(intersection(f6(v,w),x))) member(v,second(w)) equal(y,w) -> member(ordered_pair(f12(u,intersection(f6(v,w),x)),ordered_pair(f14(u,intersection(f6(v,w),x)),f13(u,intersection(f6(v,w),x)))),first(y))*. % 300.16/300.42 44607[0:Res:4634.1,5019.1] || member(u,flip_range_of(intersection(f4(v,w),x))) member(v,first(w)) equal(y,w) -> member(ordered_pair(f12(u,intersection(f4(v,w),x)),ordered_pair(f14(u,intersection(f4(v,w),x)),f13(u,intersection(f4(v,w),x)))),first(y))*. % 300.16/300.42 45131[0:Res:4783.1,5065.1] || member(u,rotate_right(intersection(v,f7(w,x)))) member(w,second(x)) equal(y,x) -> member(ordered_pair(f10(u,intersection(v,f7(w,x))),ordered_pair(f11(u,intersection(v,f7(w,x))),f9(u,intersection(v,f7(w,x))))),second(y))*. % 300.16/300.42 45130[0:Res:4783.1,5064.1] || member(u,rotate_right(intersection(v,f5(w,x)))) member(w,first(x)) equal(y,x) -> member(ordered_pair(f10(u,intersection(v,f5(w,x))),ordered_pair(f11(u,intersection(v,f5(w,x))),f9(u,intersection(v,f5(w,x))))),second(y))*. % 300.16/300.42 45129[0:Res:4783.1,5024.1] || member(u,rotate_right(intersection(v,f12(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(ordered_pair(f10(u,intersection(v,f12(w,x))),ordered_pair(f11(u,intersection(v,f12(w,x))),f9(u,intersection(v,f12(w,x))))),first(y))*. % 300.16/300.42 45128[0:Res:4783.1,5022.1] || member(u,rotate_right(intersection(v,f9(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(ordered_pair(f10(u,intersection(v,f9(w,x))),ordered_pair(f11(u,intersection(v,f9(w,x))),f9(u,intersection(v,f9(w,x))))),first(y))*. % 300.16/300.42 45127[0:Res:4783.1,5020.1] || member(u,rotate_right(intersection(v,f6(w,x)))) member(w,second(x)) equal(y,x) -> member(ordered_pair(f10(u,intersection(v,f6(w,x))),ordered_pair(f11(u,intersection(v,f6(w,x))),f9(u,intersection(v,f6(w,x))))),first(y))*. % 300.16/300.42 45126[0:Res:4783.1,5019.1] || member(u,rotate_right(intersection(v,f4(w,x)))) member(w,first(x)) equal(y,x) -> member(ordered_pair(f10(u,intersection(v,f4(w,x))),ordered_pair(f11(u,intersection(v,f4(w,x))),f9(u,intersection(v,f4(w,x))))),first(y))*. % 300.16/300.42 46258[0:Res:4782.1,5065.1] || member(u,rotate_right(intersection(f7(v,w),x))) member(v,second(w)) equal(y,w) -> member(ordered_pair(f10(u,intersection(f7(v,w),x)),ordered_pair(f11(u,intersection(f7(v,w),x)),f9(u,intersection(f7(v,w),x)))),second(y))*. % 300.16/300.42 46257[0:Res:4782.1,5064.1] || member(u,rotate_right(intersection(f5(v,w),x))) member(v,first(w)) equal(y,w) -> member(ordered_pair(f10(u,intersection(f5(v,w),x)),ordered_pair(f11(u,intersection(f5(v,w),x)),f9(u,intersection(f5(v,w),x)))),second(y))*. % 300.16/300.42 46256[0:Res:4782.1,5024.1] || member(u,rotate_right(intersection(f12(v,w),x))) member(v,flip_range_of(w)) equal(y,v) -> member(ordered_pair(f10(u,intersection(f12(v,w),x)),ordered_pair(f11(u,intersection(f12(v,w),x)),f9(u,intersection(f12(v,w),x)))),first(y))*. % 300.16/300.42 46255[0:Res:4782.1,5022.1] || member(u,rotate_right(intersection(f9(v,w),x))) member(v,rotate_right(w)) equal(y,v) -> member(ordered_pair(f10(u,intersection(f9(v,w),x)),ordered_pair(f11(u,intersection(f9(v,w),x)),f9(u,intersection(f9(v,w),x)))),first(y))*. % 300.16/300.42 46254[0:Res:4782.1,5020.1] || member(u,rotate_right(intersection(f6(v,w),x))) member(v,second(w)) equal(y,w) -> member(ordered_pair(f10(u,intersection(f6(v,w),x)),ordered_pair(f11(u,intersection(f6(v,w),x)),f9(u,intersection(f6(v,w),x)))),first(y))*. % 300.16/300.42 46253[0:Res:4782.1,5019.1] || member(u,rotate_right(intersection(f4(v,w),x))) member(v,first(w)) equal(y,w) -> member(ordered_pair(f10(u,intersection(f4(v,w),x)),ordered_pair(f11(u,intersection(f4(v,w),x)),f9(u,intersection(f4(v,w),x)))),first(y))*. % 300.16/300.42 47290[0:Res:1007.2,1558.0] || member(u,domain_of(v)) member(f8(u,v),converse(image(non_ordered_pair(w,x),y))) -> equal(first(f22(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x),y)),x)** equal(first(f22(ordered_pair(second(f8(u,v)),u),non_ordered_pair(w,x),y)),w)**. % 300.16/300.42 47289[0:Res:1008.2,1558.0] || member(u,range_of(v)) member(f27(u,v),converse(image(non_ordered_pair(w,x),y))) -> equal(first(f22(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x),y)),x)** equal(first(f22(ordered_pair(u,first(f27(u,v))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.42 47218[0:Res:94.1,1558.0] || member(u,image(image(non_ordered_pair(v,w),x),y)) -> equal(first(f22(first(f22(u,image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),w)** equal(first(f22(first(f22(u,image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.42 47425[0:Res:3837.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(non_ordered_pair(x,y),f7(u,v)) equal(f1(non_ordered_pair(x,y),f7(u,v)),y) equal(f1(non_ordered_pair(x,y),f7(u,v)),x) member(f1(non_ordered_pair(x,y),f7(u,v)),second(w))*. % 300.16/300.42 47424[0:Res:3837.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(non_ordered_pair(x,y),f5(u,v)) equal(f1(non_ordered_pair(x,y),f5(u,v)),y) equal(f1(non_ordered_pair(x,y),f5(u,v)),x) member(f1(non_ordered_pair(x,y),f5(u,v)),second(w))*. % 300.16/300.42 47423[0:Res:3837.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(non_ordered_pair(x,y),f12(u,v)) equal(f1(non_ordered_pair(x,y),f12(u,v)),y) equal(f1(non_ordered_pair(x,y),f12(u,v)),x) member(f1(non_ordered_pair(x,y),f12(u,v)),first(w))*. % 300.16/300.42 47422[0:Res:3837.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(non_ordered_pair(x,y),f9(u,v)) equal(f1(non_ordered_pair(x,y),f9(u,v)),y) equal(f1(non_ordered_pair(x,y),f9(u,v)),x) member(f1(non_ordered_pair(x,y),f9(u,v)),first(w))*. % 300.16/300.42 47421[0:Res:3837.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(non_ordered_pair(x,y),f6(u,v)) equal(f1(non_ordered_pair(x,y),f6(u,v)),y) equal(f1(non_ordered_pair(x,y),f6(u,v)),x) member(f1(non_ordered_pair(x,y),f6(u,v)),first(w))*. % 300.16/300.42 47420[0:Res:3837.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(non_ordered_pair(x,y),f4(u,v)) equal(f1(non_ordered_pair(x,y),f4(u,v)),y) equal(f1(non_ordered_pair(x,y),f4(u,v)),x) member(f1(non_ordered_pair(x,y),f4(u,v)),first(w))*. % 300.16/300.42 47381[0:Res:3837.1,1163.0] || member(u,v) -> equal(non_ordered_pair(w,x),converse(u)) equal(f1(non_ordered_pair(w,x),converse(u)),x) equal(f1(non_ordered_pair(w,x),converse(u)),w) member(ordered_pair(second(f1(non_ordered_pair(w,x),converse(u))),first(f1(non_ordered_pair(w,x),converse(u)))),sigma(v))*. % 300.16/300.42 47870[0:Res:3819.1,5065.1] || member(u,second(v)) equal(w,v) -> equal(f7(u,v),non_ordered_pair(x,y)) equal(f1(f7(u,v),non_ordered_pair(x,y)),y) equal(f1(f7(u,v),non_ordered_pair(x,y)),x) member(f1(f7(u,v),non_ordered_pair(x,y)),second(w))*. % 300.16/300.42 47869[0:Res:3819.1,5064.1] || member(u,first(v)) equal(w,v) -> equal(f5(u,v),non_ordered_pair(x,y)) equal(f1(f5(u,v),non_ordered_pair(x,y)),y) equal(f1(f5(u,v),non_ordered_pair(x,y)),x) member(f1(f5(u,v),non_ordered_pair(x,y)),second(w))*. % 300.16/300.42 47868[0:Res:3819.1,5024.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(f12(u,v),non_ordered_pair(x,y)) equal(f1(f12(u,v),non_ordered_pair(x,y)),y) equal(f1(f12(u,v),non_ordered_pair(x,y)),x) member(f1(f12(u,v),non_ordered_pair(x,y)),first(w))*. % 300.16/300.42 47867[0:Res:3819.1,5022.1] || member(u,rotate_right(v)) equal(w,u) -> equal(f9(u,v),non_ordered_pair(x,y)) equal(f1(f9(u,v),non_ordered_pair(x,y)),y) equal(f1(f9(u,v),non_ordered_pair(x,y)),x) member(f1(f9(u,v),non_ordered_pair(x,y)),first(w))*. % 300.16/300.42 47866[0:Res:3819.1,5020.1] || member(u,second(v)) equal(w,v) -> equal(f6(u,v),non_ordered_pair(x,y)) equal(f1(f6(u,v),non_ordered_pair(x,y)),y) equal(f1(f6(u,v),non_ordered_pair(x,y)),x) member(f1(f6(u,v),non_ordered_pair(x,y)),first(w))*. % 300.16/300.42 47865[0:Res:3819.1,5019.1] || member(u,first(v)) equal(w,v) -> equal(f4(u,v),non_ordered_pair(x,y)) equal(f1(f4(u,v),non_ordered_pair(x,y)),y) equal(f1(f4(u,v),non_ordered_pair(x,y)),x) member(f1(f4(u,v),non_ordered_pair(x,y)),first(w))*. % 300.16/300.42 47826[0:Res:3819.1,1163.0] || member(u,v) -> equal(converse(u),non_ordered_pair(w,x)) equal(f1(converse(u),non_ordered_pair(w,x)),x) equal(f1(converse(u),non_ordered_pair(w,x)),w) member(ordered_pair(second(f1(converse(u),non_ordered_pair(w,x))),first(f1(converse(u),non_ordered_pair(w,x)))),sigma(v))*. % 300.16/300.42 65024[3:SpL:119.1,6217.1] || member(u,apply(v,w)) member(f28(u,v,w),x) equal(w,y) -> equal(z,second(f28(u,v,w))) member(f1(z,second(f28(u,v,w))),z)* member(f1(z,second(f28(u,v,w))),apply(x,y))*. % 300.16/300.42 65205[3:SpL:119.1,6218.1] || member(u,apply(v,w)) member(f28(u,v,w),x) equal(w,y) -> equal(second(f28(u,v,w)),z) member(f1(second(f28(u,v,w)),z),z)* member(f1(second(f28(u,v,w)),z),apply(x,y))*. % 300.16/300.42 65378[0:SSi:65346.0,371.0] little_set(u) single_valued_set(intersection(complement(v),complement(w))) || member(x,compose(y,intersection(complement(v),complement(w)))) -> member(ordered_pair(f31(x,y,intersection(complement(v),complement(w))),u),union(v,w))* equal(u,f30(x,y,intersection(complement(v),complement(w)))). % 300.16/300.42 65595[0:SSi:65561.0,371.0] little_set(u) single_valued_set(intersection(complement(v),complement(w))) || member(x,compose(intersection(complement(v),complement(w)),y)) -> member(ordered_pair(f29(x,intersection(complement(v),complement(w)),y),u),union(v,w))* equal(u,f31(x,intersection(complement(v),complement(w)),y)). % 300.16/300.42 66347[0:Res:1464.2,6077.3] little_set(second(f28(u,v,w))) little_set(w) little_set(x) || member(u,apply(v,w)) member(f28(u,v,w),converse(y))* member(ordered_pair(x,second(f28(u,v,w))),z)* -> member(ordered_pair(x,w),compose(z,y))*. % 300.16/300.42 66926[3:Res:1007.2,8204.3] little_set(second(f8(f3(u),v))) little_set(w) || member(f3(u),domain_of(v)) member(f8(f3(u),v),converse(x))* equal(w,u)* member(ordered_pair(f2(u),second(f8(f3(u),v))),y)* -> member(w,compose(y,x))*. % 300.16/300.42 67783[3:Res:1079.2,6233.0] little_set(second(f1(u,cross_product(v,singleton_set(w))))) || equal(second(f1(u,cross_product(v,singleton_set(w)))),w) member(first(f1(u,cross_product(v,singleton_set(w)))),v)* member(f1(u,cross_product(v,singleton_set(w))),u)* -> equal(u,cross_product(v,singleton_set(w))). % 300.16/300.42 67782[3:Res:77.2,6233.0] little_set(second(f1(u,cross_product(v,powerset(w))))) || subset(second(f1(u,cross_product(v,powerset(w)))),w)* member(first(f1(u,cross_product(v,powerset(w)))),v)* member(f1(u,cross_product(v,powerset(w))),u)* -> equal(u,cross_product(v,powerset(w))). % 300.16/300.42 67861[0:Res:33.2,5233.4] little_set(u) single_valued_set(intersection(v,w)) || member(ordered_pair(f29(x,y,z),u),w)* member(ordered_pair(f29(x,y,z),u),v)* member(x,compose(y,z)) member(x,intersection(v,w))* -> equal(u,f30(x,y,z)). % 300.16/300.42 68140[0:Res:5257.5,1421.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,ordered_pair(z,x1))* -> homomorphism(y,w,x,u,v) equal(f33(y,w,x,u,v),non_ordered_pair(z,x1))* equal(f33(y,w,x,u,v),singleton_set(z)). % 300.16/300.42 68109[0:Res:5257.5,1014.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(cross_product(z,x1)))* -> homomorphism(y,w,x,u,v) member(first(ordered_pair(second(f33(y,w,x,u,v)),first(f33(y,w,x,u,v)))),z)*. % 300.16/300.42 68108[0:Res:5257.5,1015.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(cross_product(z,x1)))* -> homomorphism(y,w,x,u,v) member(second(ordered_pair(second(f33(y,w,x,u,v)),first(f33(y,w,x,u,v)))),x1)*. % 300.16/300.42 68243[0:Res:5302.5,1421.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,ordered_pair(z,x1))* -> homomorphism(y,w,x,u,v) equal(f32(y,w,x,u,v),non_ordered_pair(z,x1))* equal(f32(y,w,x,u,v),singleton_set(z)). % 300.16/300.42 68212[0:Res:5302.5,1014.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(cross_product(z,x1)))* -> homomorphism(y,w,x,u,v) member(first(ordered_pair(second(f32(y,w,x,u,v)),first(f32(y,w,x,u,v)))),z)*. % 300.16/300.42 68211[0:Res:5302.5,1015.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(cross_product(z,x1)))* -> homomorphism(y,w,x,u,v) member(second(ordered_pair(second(f32(y,w,x,u,v)),first(f32(y,w,x,u,v)))),x1)*. % 300.16/300.42 68410[0:Res:5054.3,5236.4] little_set(u) little_set(v) little_set(w) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(f9(x,y),w),u)* member(x,rotate_right(y)) member(x,second(ordered_pair(v,u)))* -> equal(w,ordered_pair(f10(x,y),f11(x,y)))*. % 300.16/300.42 68409[0:Res:5009.3,5236.4] little_set(u) little_set(v) little_set(w) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(f9(x,y),w),v)* member(x,rotate_right(y)) member(x,first(ordered_pair(v,u)))* -> equal(w,ordered_pair(f10(x,y),f11(x,y)))*. % 300.16/300.42 68396[0:Res:33.2,5236.4] little_set(u) single_valued_set(intersection(v,w)) || member(ordered_pair(f9(x,y),u),w)* member(ordered_pair(f9(x,y),u),v)* member(x,rotate_right(y)) member(x,intersection(v,w))* -> equal(u,ordered_pair(f10(x,y),f11(x,y)))*. % 300.16/300.42 68664[0:Res:5054.3,5238.4] little_set(u) little_set(v) little_set(w) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(f12(x,y),w),u)* member(x,flip_range_of(y)) member(x,second(ordered_pair(v,u)))* -> equal(w,ordered_pair(f13(x,y),f14(x,y)))*. % 300.16/300.42 68663[0:Res:5009.3,5238.4] little_set(u) little_set(v) little_set(w) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(f12(x,y),w),v)* member(x,flip_range_of(y)) member(x,first(ordered_pair(v,u)))* -> equal(w,ordered_pair(f13(x,y),f14(x,y)))*. % 300.16/300.42 68646[0:Res:33.2,5238.4] little_set(u) single_valued_set(intersection(v,w)) || member(ordered_pair(f12(x,y),u),w)* member(ordered_pair(f12(x,y),u),v)* member(x,flip_range_of(y)) member(x,intersection(v,w))* -> equal(u,ordered_pair(f13(x,y),f14(x,y)))*. % 300.16/300.42 69749[3:MRR:69748.0,49.1] little_set(u) || member(v,rotate_right(second(w))) member(w,x) equal(first(w),y) member(ordered_pair(u,f10(v,second(w))),z) -> member(ordered_pair(u,ordered_pair(f11(v,second(w)),f9(v,second(w)))),compose(z,apply(x,y)))*. % 300.16/300.42 70046[3:MRR:70045.0,54.1] little_set(u) || member(v,flip_range_of(second(w))) member(w,x) equal(first(w),y) member(ordered_pair(u,f12(v,second(w))),z) -> member(ordered_pair(u,ordered_pair(f14(v,second(w)),f13(v,second(w)))),compose(z,apply(x,y)))*. % 300.16/300.42 70180[0:Res:67.1,5359.4] little_set(u) little_set(v) || member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),sigma(y)) member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(f16(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y)))*. % 300.16/300.42 70179[0:Res:21.1,5359.4] little_set(u) little_set(v) || member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),first(y)) member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(f4(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y)))*. % 300.16/300.42 70178[0:Res:26.1,5359.4] little_set(u) little_set(v) || member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),second(y)) member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(f7(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y)))*. % 300.16/300.42 70258[0:Res:67.1,5360.4] little_set(u) little_set(v) || member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),sigma(y)) member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(f16(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y)))*. % 300.16/300.42 70257[0:Res:21.1,5360.4] little_set(u) little_set(v) || member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),first(y)) member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(f4(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y)))*. % 300.16/300.42 70256[0:Res:26.1,5360.4] little_set(u) little_set(v) || member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),second(y)) member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(f7(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y)))*. % 300.16/300.42 70330[0:Res:67.1,6054.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),sigma(y)) member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(f16(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y)))*. % 300.16/300.42 70329[0:Res:21.1,6054.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),first(y)) member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(f4(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y)))*. % 300.16/300.42 70328[0:Res:26.1,6054.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),second(y)) member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(f7(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y)))*. % 300.16/300.42 70401[0:Res:67.1,6055.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),sigma(y)) member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(f16(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y)))*. % 300.16/300.42 70400[0:Res:21.1,6055.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),first(y)) member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(f4(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y)))*. % 300.16/300.42 70399[0:Res:26.1,6055.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),second(y)) member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(f7(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y)))*. % 300.16/300.42 70527[0:Res:5270.4,43.0] || closed(u,v) closed(intersection(w,cross_product(x,y)),z) maps(x1,intersection(w,cross_product(x,y)),u) -> homomorphism(x1,intersection(w,cross_product(x,y)),z,u,v) member(second(f33(x1,intersection(w,cross_product(x,y)),z,u,v)),y)*. % 300.16/300.42 70526[0:Res:5270.4,42.0] || closed(u,v) closed(intersection(w,cross_product(x,y)),z) maps(x1,intersection(w,cross_product(x,y)),u) -> homomorphism(x1,intersection(w,cross_product(x,y)),z,u,v) member(first(f33(x1,intersection(w,cross_product(x,y)),z,u,v)),x)*. % 300.16/300.42 70623[0:Res:5269.4,43.0] || closed(u,v) closed(intersection(cross_product(w,x),y),z) maps(x1,intersection(cross_product(w,x),y),u) -> homomorphism(x1,intersection(cross_product(w,x),y),z,u,v) member(second(f33(x1,intersection(cross_product(w,x),y),z,u,v)),x)*. % 300.16/300.42 70622[0:Res:5269.4,42.0] || closed(u,v) closed(intersection(cross_product(w,x),y),z) maps(x1,intersection(cross_product(w,x),y),u) -> homomorphism(x1,intersection(cross_product(w,x),y),z,u,v) member(first(f33(x1,intersection(cross_product(w,x),y),z,u,v)),w)*. % 300.16/300.42 70747[0:Res:5315.4,43.0] || closed(u,v) closed(intersection(w,cross_product(x,y)),z) maps(x1,intersection(w,cross_product(x,y)),u) -> homomorphism(x1,intersection(w,cross_product(x,y)),z,u,v) member(second(f32(x1,intersection(w,cross_product(x,y)),z,u,v)),y)*. % 300.16/300.42 70746[0:Res:5315.4,42.0] || closed(u,v) closed(intersection(w,cross_product(x,y)),z) maps(x1,intersection(w,cross_product(x,y)),u) -> homomorphism(x1,intersection(w,cross_product(x,y)),z,u,v) member(first(f32(x1,intersection(w,cross_product(x,y)),z,u,v)),x)*. % 300.16/300.42 70827[0:Res:5314.4,43.0] || closed(u,v) closed(intersection(cross_product(w,x),y),z) maps(x1,intersection(cross_product(w,x),y),u) -> homomorphism(x1,intersection(cross_product(w,x),y),z,u,v) member(second(f32(x1,intersection(cross_product(w,x),y),z,u,v)),x)*. % 300.16/300.42 70826[0:Res:5314.4,42.0] || closed(u,v) closed(intersection(cross_product(w,x),y),z) maps(x1,intersection(cross_product(w,x),y),u) -> homomorphism(x1,intersection(cross_product(w,x),y),z,u,v) member(first(f32(x1,intersection(cross_product(w,x),y),z,u,v)),w)*. % 300.16/300.42 71399[0:Res:5263.4,282.0] || closed(u,v) closed(cross_product(w,restrict(x,y)),z) maps(x1,cross_product(w,restrict(x,y)),u) -> homomorphism(x1,cross_product(w,restrict(x,y)),z,u,v) member(second(f33(x1,cross_product(w,restrict(x,y)),z,u,v)),x)*. % 300.16/300.42 71397[0:Res:5263.4,15955.0] || closed(u,v) closed(cross_product(w,sigma(powerset(x))),y) maps(z,cross_product(w,sigma(powerset(x))),u) -> homomorphism(z,cross_product(w,sigma(powerset(x))),y,u,v) member(second(f33(z,cross_product(w,sigma(powerset(x))),y,u,v)),x)*. % 300.16/300.42 71394[0:Res:5263.4,32.0] || closed(u,v) closed(cross_product(w,intersection(x,y)),z) maps(x1,cross_product(w,intersection(x,y)),u) -> homomorphism(x1,cross_product(w,intersection(x,y)),z,u,v) member(second(f33(x1,cross_product(w,intersection(x,y)),z,u,v)),y)*. % 300.16/300.42 71393[0:Res:5263.4,31.0] || closed(u,v) closed(cross_product(w,intersection(x,y)),z) maps(x1,cross_product(w,intersection(x,y)),u) -> homomorphism(x1,cross_product(w,intersection(x,y)),z,u,v) member(second(f33(x1,cross_product(w,intersection(x,y)),z,u,v)),x)*. % 300.16/300.42 71386[0:Res:5263.4,10964.0] || closed(u,v) closed(cross_product(w,complement(complement(x))),y) maps(z,cross_product(w,complement(complement(x))),u) -> homomorphism(z,cross_product(w,complement(complement(x))),y,u,v) member(second(f33(z,cross_product(w,complement(complement(x))),y,u,v)),x)*. % 300.16/300.42 71504[0:Res:5262.4,282.0] || closed(u,v) closed(cross_product(restrict(w,x),y),z) maps(x1,cross_product(restrict(w,x),y),u) -> homomorphism(x1,cross_product(restrict(w,x),y),z,u,v) member(first(f33(x1,cross_product(restrict(w,x),y),z,u,v)),w)*. % 300.16/300.42 71502[0:Res:5262.4,15955.0] || closed(u,v) closed(cross_product(sigma(powerset(w)),x),y) maps(z,cross_product(sigma(powerset(w)),x),u) -> homomorphism(z,cross_product(sigma(powerset(w)),x),y,u,v) member(first(f33(z,cross_product(sigma(powerset(w)),x),y,u,v)),w)*. % 300.16/300.42 71499[0:Res:5262.4,32.0] || closed(u,v) closed(cross_product(intersection(w,x),y),z) maps(x1,cross_product(intersection(w,x),y),u) -> homomorphism(x1,cross_product(intersection(w,x),y),z,u,v) member(first(f33(x1,cross_product(intersection(w,x),y),z,u,v)),x)*. % 300.16/300.42 71498[0:Res:5262.4,31.0] || closed(u,v) closed(cross_product(intersection(w,x),y),z) maps(x1,cross_product(intersection(w,x),y),u) -> homomorphism(x1,cross_product(intersection(w,x),y),z,u,v) member(first(f33(x1,cross_product(intersection(w,x),y),z,u,v)),w)*. % 300.16/300.42 71491[0:Res:5262.4,10964.0] || closed(u,v) closed(cross_product(complement(complement(w)),x),y) maps(z,cross_product(complement(complement(w)),x),u) -> homomorphism(z,cross_product(complement(complement(w)),x),y,u,v) member(first(f33(z,cross_product(complement(complement(w)),x),y,u,v)),w)*. % 300.16/300.42 71650[0:Res:5308.4,282.0] || closed(u,v) closed(cross_product(w,restrict(x,y)),z) maps(x1,cross_product(w,restrict(x,y)),u) -> homomorphism(x1,cross_product(w,restrict(x,y)),z,u,v) member(second(f32(x1,cross_product(w,restrict(x,y)),z,u,v)),x)*. % 300.16/300.42 71648[0:Res:5308.4,15955.0] || closed(u,v) closed(cross_product(w,sigma(powerset(x))),y) maps(z,cross_product(w,sigma(powerset(x))),u) -> homomorphism(z,cross_product(w,sigma(powerset(x))),y,u,v) member(second(f32(z,cross_product(w,sigma(powerset(x))),y,u,v)),x)*. % 300.16/300.42 71645[0:Res:5308.4,32.0] || closed(u,v) closed(cross_product(w,intersection(x,y)),z) maps(x1,cross_product(w,intersection(x,y)),u) -> homomorphism(x1,cross_product(w,intersection(x,y)),z,u,v) member(second(f32(x1,cross_product(w,intersection(x,y)),z,u,v)),y)*. % 300.16/300.42 71644[0:Res:5308.4,31.0] || closed(u,v) closed(cross_product(w,intersection(x,y)),z) maps(x1,cross_product(w,intersection(x,y)),u) -> homomorphism(x1,cross_product(w,intersection(x,y)),z,u,v) member(second(f32(x1,cross_product(w,intersection(x,y)),z,u,v)),x)*. % 300.16/300.42 71637[0:Res:5308.4,10964.0] || closed(u,v) closed(cross_product(w,complement(complement(x))),y) maps(z,cross_product(w,complement(complement(x))),u) -> homomorphism(z,cross_product(w,complement(complement(x))),y,u,v) member(second(f32(z,cross_product(w,complement(complement(x))),y,u,v)),x)*. % 300.16/300.42 71903[0:Res:5307.4,282.0] || closed(u,v) closed(cross_product(restrict(w,x),y),z) maps(x1,cross_product(restrict(w,x),y),u) -> homomorphism(x1,cross_product(restrict(w,x),y),z,u,v) member(first(f32(x1,cross_product(restrict(w,x),y),z,u,v)),w)*. % 300.16/300.42 71901[0:Res:5307.4,15955.0] || closed(u,v) closed(cross_product(sigma(powerset(w)),x),y) maps(z,cross_product(sigma(powerset(w)),x),u) -> homomorphism(z,cross_product(sigma(powerset(w)),x),y,u,v) member(first(f32(z,cross_product(sigma(powerset(w)),x),y,u,v)),w)*. % 300.16/300.42 71898[0:Res:5307.4,32.0] || closed(u,v) closed(cross_product(intersection(w,x),y),z) maps(x1,cross_product(intersection(w,x),y),u) -> homomorphism(x1,cross_product(intersection(w,x),y),z,u,v) member(first(f32(x1,cross_product(intersection(w,x),y),z,u,v)),x)*. % 300.16/300.42 71897[0:Res:5307.4,31.0] || closed(u,v) closed(cross_product(intersection(w,x),y),z) maps(x1,cross_product(intersection(w,x),y),u) -> homomorphism(x1,cross_product(intersection(w,x),y),z,u,v) member(first(f32(x1,cross_product(intersection(w,x),y),z,u,v)),w)*. % 300.16/300.42 71890[0:Res:5307.4,10964.0] || closed(u,v) closed(cross_product(complement(complement(w)),x),y) maps(z,cross_product(complement(complement(w)),x),u) -> homomorphism(z,cross_product(complement(complement(w)),x),y,u,v) member(first(f32(z,cross_product(complement(complement(w)),x),y,u,v)),w)*. % 300.16/300.42 73243[0:SSi:73192.0,371.0,371.0] little_set(u) || member(v,rotate_right(w)) equal(u,ordered_pair(ordered_pair(ordered_pair(f10(v,w),f11(v,w)),f9(v,w)),v))* member(singleton_set(singleton_set(ordered_pair(ordered_pair(f10(v,w),f11(v,w)),f9(v,w)))),x)* -> member(u,flip_range_of(x))*. % 300.16/300.42 73436[0:SSi:73385.0,371.0,371.0] little_set(u) || member(v,flip_range_of(w)) equal(u,ordered_pair(ordered_pair(ordered_pair(f13(v,w),f14(v,w)),f12(v,w)),v))* member(singleton_set(singleton_set(ordered_pair(ordered_pair(f13(v,w),f14(v,w)),f12(v,w)))),x)* -> member(u,flip_range_of(x))*. % 300.16/300.42 73997[0:SSi:73953.0,371.0] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),z)* -> member(ordered_pair(u,f30(w,x,y)),union(x1,x2))* member(v,compose(z,intersection(complement(x1),complement(x2))))*. % 300.16/300.42 73999[3:MRR:73998.0,133.1] little_set(u) || member(v,w)* equal(first(v),x)* member(y,compose(z,second(v))) equal(u,y)* member(ordered_pair(f29(y,z,second(v)),f31(y,z,second(v))),x1)* -> member(u,compose(x1,apply(w,x)))*. % 300.16/300.42 74081[0:SSi:74053.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),non_ordered_pair(y,z))* member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),x1)* -> member(v,compose(x1,ordered_pair(y,z)))*. % 300.16/300.42 74191[0:SSi:74163.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),non_ordered_pair(y,z))* member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),x1)* -> member(v,compose(x1,ordered_pair(y,z)))*. % 300.16/300.42 84034[16:Res:5315.4,83606.1] || closed(u,v) closed(intersection(w,f24(powerset(x))),y) maps(z,intersection(w,f24(powerset(x))),u) subset(f32(z,intersection(w,f24(powerset(x))),y,u,v),x)* -> homomorphism(z,intersection(w,f24(powerset(x))),y,u,v). % 300.16/300.42 84033[16:Res:5270.4,83606.1] || closed(u,v) closed(intersection(w,f24(powerset(x))),y) maps(z,intersection(w,f24(powerset(x))),u) subset(f33(z,intersection(w,f24(powerset(x))),y,u,v),x)* -> homomorphism(z,intersection(w,f24(powerset(x))),y,u,v). % 300.16/300.42 83959[16:Res:5314.4,83606.1] || closed(u,v) closed(intersection(f24(powerset(w)),x),y) maps(z,intersection(f24(powerset(w)),x),u) subset(f32(z,intersection(f24(powerset(w)),x),y,u,v),w)* -> homomorphism(z,intersection(f24(powerset(w)),x),y,u,v). % 300.16/300.42 83957[16:Res:5269.4,83606.1] || closed(u,v) closed(intersection(f24(powerset(w)),x),y) maps(z,intersection(f24(powerset(w)),x),u) subset(f33(z,intersection(f24(powerset(w)),x),y,u,v),w)* -> homomorphism(z,intersection(f24(powerset(w)),x),y,u,v). % 300.16/300.42 84224[2:Res:5315.4,25433.0] || closed(u,v) closed(intersection(w,image(x,y)),z) maps(x1,intersection(w,image(x,y)),u) subset(x,f32(x1,intersection(w,image(x,y)),z,u,v))* -> homomorphism(x1,intersection(w,image(x,y)),z,u,v). % 300.16/300.42 84223[2:Res:5270.4,25433.0] || closed(u,v) closed(intersection(w,image(x,y)),z) maps(x1,intersection(w,image(x,y)),u) subset(x,f33(x1,intersection(w,image(x,y)),z,u,v))* -> homomorphism(x1,intersection(w,image(x,y)),z,u,v). % 300.16/300.42 84149[2:Res:5314.4,25433.0] || closed(u,v) closed(intersection(image(w,x),y),z) maps(x1,intersection(image(w,x),y),u) subset(w,f32(x1,intersection(image(w,x),y),z,u,v))* -> homomorphism(x1,intersection(image(w,x),y),z,u,v). % 300.16/300.42 84147[2:Res:5269.4,25433.0] || closed(u,v) closed(intersection(image(w,x),y),z) maps(x1,intersection(image(w,x),y),u) subset(w,f33(x1,intersection(image(w,x),y),z,u,v))* -> homomorphism(x1,intersection(image(w,x),y),z,u,v). % 300.16/300.42 99737[0:Res:22366.2,6082.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,f30(x,y,z)),f2(u))* member(x,compose(y,z)) equal(w,x)* member(ordered_pair(f29(x,y,z),v),x1)* -> member(w,compose(x1,first(u)))*. % 300.16/300.42 99934[0:Res:22612.2,6082.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,f30(x,y,z)),f3(u))* member(x,compose(y,z)) equal(w,x)* member(ordered_pair(f29(x,y,z),v),x1)* -> member(w,compose(x1,second(u)))*. % 300.16/300.42 101859[0:Res:3813.2,1441.0] || disjoint(u,universal_set) -> equal(converse(non_ordered_pair(v,w)),u) equal(ordered_pair(second(f1(converse(non_ordered_pair(v,w)),u)),first(f1(converse(non_ordered_pair(v,w)),u))),w)** equal(ordered_pair(second(f1(converse(non_ordered_pair(v,w)),u)),first(f1(converse(non_ordered_pair(v,w)),u))),v)**. % 300.16/300.42 101993[0:Res:3831.2,1441.0] || disjoint(u,universal_set) -> equal(u,converse(non_ordered_pair(v,w))) equal(ordered_pair(second(f1(u,converse(non_ordered_pair(v,w)))),first(f1(u,converse(non_ordered_pair(v,w))))),w)** equal(ordered_pair(second(f1(u,converse(non_ordered_pair(v,w)))),first(f1(u,converse(non_ordered_pair(v,w))))),v)**. % 300.16/300.42 105386[0:Res:4775.1,26698.0] || member(u,rotate_right(cross_product(apply(cross_product(v,w),x),y))) -> member(first(ordered_pair(f10(u,cross_product(apply(cross_product(v,w),x),y)),ordered_pair(f11(u,cross_product(apply(cross_product(v,w),x),y)),f9(u,cross_product(apply(cross_product(v,w),x),y))))),sigma(w))*. % 300.16/300.42 105385[0:Res:4627.1,26698.0] || member(u,flip_range_of(cross_product(apply(cross_product(v,w),x),y))) -> member(first(ordered_pair(f12(u,cross_product(apply(cross_product(v,w),x),y)),ordered_pair(f14(u,cross_product(apply(cross_product(v,w),x),y)),f13(u,cross_product(apply(cross_product(v,w),x),y))))),sigma(w))*. % 300.16/300.42 105334[0:Res:142.3,26698.0] || closed(u,v) closed(apply(cross_product(w,x),y),z) maps(x1,apply(cross_product(w,x),y),u) -> homomorphism(x1,apply(cross_product(w,x),y),z,u,v) member(f32(x1,apply(cross_product(w,x),y),z,u,v),sigma(x))*. % 300.16/300.42 105332[0:Res:143.3,26698.0] || closed(u,v) closed(apply(cross_product(w,x),y),z) maps(x1,apply(cross_product(w,x),y),u) -> homomorphism(x1,apply(cross_product(w,x),y),z,u,v) member(f33(x1,apply(cross_product(w,x),y),z,u,v),sigma(x))*. % 300.16/300.42 105324[0:Res:4776.1,26698.0] || member(u,rotate_right(cross_product(v,apply(cross_product(w,x),y)))) -> member(second(ordered_pair(f10(u,cross_product(v,apply(cross_product(w,x),y))),ordered_pair(f11(u,cross_product(v,apply(cross_product(w,x),y))),f9(u,cross_product(v,apply(cross_product(w,x),y)))))),sigma(x))*. % 300.16/300.42 105323[0:Res:4628.1,26698.0] || member(u,flip_range_of(cross_product(v,apply(cross_product(w,x),y)))) -> member(second(ordered_pair(f12(u,cross_product(v,apply(cross_product(w,x),y))),ordered_pair(f14(u,cross_product(v,apply(cross_product(w,x),y))),f13(u,cross_product(v,apply(cross_product(w,x),y)))))),sigma(x))*. % 300.16/300.42 17956[0:Res:136.1,1014.0] || member(u,compose(v,converse(cross_product(w,x)))) -> member(first(ordered_pair(second(ordered_pair(f31(u,v,converse(cross_product(w,x))),f30(u,v,converse(cross_product(w,x))))),first(ordered_pair(f31(u,v,converse(cross_product(w,x))),f30(u,v,converse(cross_product(w,x))))))),w)*. % 300.16/300.42 17951[0:Res:135.1,1014.0] || member(u,compose(converse(cross_product(v,w)),x)) -> member(first(ordered_pair(second(ordered_pair(f29(u,converse(cross_product(v,w)),x),f31(u,converse(cross_product(v,w)),x))),first(ordered_pair(f29(u,converse(cross_product(v,w)),x),f31(u,converse(cross_product(v,w)),x))))),v)*. % 300.16/300.42 18080[0:Res:136.1,1015.0] || member(u,compose(v,converse(cross_product(w,x)))) -> member(second(ordered_pair(second(ordered_pair(f31(u,v,converse(cross_product(w,x))),f30(u,v,converse(cross_product(w,x))))),first(ordered_pair(f31(u,v,converse(cross_product(w,x))),f30(u,v,converse(cross_product(w,x))))))),x)*. % 300.16/300.42 18075[0:Res:135.1,1015.0] || member(u,compose(converse(cross_product(v,w)),x)) -> member(second(ordered_pair(second(ordered_pair(f29(u,converse(cross_product(v,w)),x),f31(u,converse(cross_product(v,w)),x))),first(ordered_pair(f29(u,converse(cross_product(v,w)),x),f31(u,converse(cross_product(v,w)),x))))),w)*. % 300.16/300.42 21458[0:Res:540.1,1014.0] || -> single_valued_set(cross_product(u,converse(cross_product(v,w)))) member(first(ordered_pair(second(second(ordered_pair(f19(cross_product(u,converse(cross_product(v,w)))),f21(cross_product(u,converse(cross_product(v,w))))))),first(second(ordered_pair(f19(cross_product(u,converse(cross_product(v,w)))),f21(cross_product(u,converse(cross_product(v,w))))))))),v)*. % 300.16/300.42 21457[0:Res:540.1,1015.0] || -> single_valued_set(cross_product(u,converse(cross_product(v,w)))) member(second(ordered_pair(second(second(ordered_pair(f19(cross_product(u,converse(cross_product(v,w)))),f21(cross_product(u,converse(cross_product(v,w))))))),first(second(ordered_pair(f19(cross_product(u,converse(cross_product(v,w)))),f21(cross_product(u,converse(cross_product(v,w))))))))),w)*. % 300.16/300.42 21618[0:Res:541.1,1014.0] || -> single_valued_set(cross_product(u,converse(cross_product(v,w)))) member(first(ordered_pair(second(second(ordered_pair(f19(cross_product(u,converse(cross_product(v,w)))),f20(cross_product(u,converse(cross_product(v,w))))))),first(second(ordered_pair(f19(cross_product(u,converse(cross_product(v,w)))),f20(cross_product(u,converse(cross_product(v,w))))))))),v)*. % 300.16/300.42 21617[0:Res:541.1,1015.0] || -> single_valued_set(cross_product(u,converse(cross_product(v,w)))) member(second(ordered_pair(second(second(ordered_pair(f19(cross_product(u,converse(cross_product(v,w)))),f20(cross_product(u,converse(cross_product(v,w))))))),first(second(ordered_pair(f19(cross_product(u,converse(cross_product(v,w)))),f20(cross_product(u,converse(cross_product(v,w))))))))),w)*. % 300.16/300.42 21697[0:Res:553.1,1014.0] || -> single_valued_set(cross_product(converse(cross_product(u,v)),w)) member(first(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(cross_product(u,v)),w)),f21(cross_product(converse(cross_product(u,v)),w))))),first(first(ordered_pair(f19(cross_product(converse(cross_product(u,v)),w)),f21(cross_product(converse(cross_product(u,v)),w))))))),u)*. % 300.16/300.42 21696[0:Res:553.1,1015.0] || -> single_valued_set(cross_product(converse(cross_product(u,v)),w)) member(second(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(cross_product(u,v)),w)),f21(cross_product(converse(cross_product(u,v)),w))))),first(first(ordered_pair(f19(cross_product(converse(cross_product(u,v)),w)),f21(cross_product(converse(cross_product(u,v)),w))))))),v)*. % 300.16/300.42 21786[0:Res:554.1,1014.0] || -> single_valued_set(cross_product(converse(cross_product(u,v)),w)) member(first(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(cross_product(u,v)),w)),f20(cross_product(converse(cross_product(u,v)),w))))),first(first(ordered_pair(f19(cross_product(converse(cross_product(u,v)),w)),f20(cross_product(converse(cross_product(u,v)),w))))))),u)*. % 300.16/300.42 21785[0:Res:554.1,1015.0] || -> single_valued_set(cross_product(converse(cross_product(u,v)),w)) member(second(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(cross_product(u,v)),w)),f20(cross_product(converse(cross_product(u,v)),w))))),first(first(ordered_pair(f19(cross_product(converse(cross_product(u,v)),w)),f20(cross_product(converse(cross_product(u,v)),w))))))),v)*. % 300.16/300.42 21897[0:Res:142.3,1009.0] || closed(u,v) closed(converse(w),x) maps(y,converse(w),u) subset(w,z) -> homomorphism(y,converse(w),x,u,v) member(ordered_pair(second(f32(y,converse(w),x,u,v)),first(f32(y,converse(w),x,u,v))),z)*. % 300.16/300.42 21896[0:Res:143.3,1009.0] || closed(u,v) closed(converse(w),x) maps(y,converse(w),u) subset(w,z) -> homomorphism(y,converse(w),x,u,v) member(ordered_pair(second(f33(y,converse(w),x,u,v)),first(f33(y,converse(w),x,u,v))),z)*. % 300.16/300.42 28570[0:Res:554.1,3811.0] || -> single_valued_set(cross_product(u,v)) equal(w,first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v))))) member(f1(w,first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v))))),w)* member(f1(w,first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v))))),sigma(u))*. % 300.16/300.42 28569[0:Res:553.1,3811.0] || -> single_valued_set(cross_product(u,v)) equal(w,first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v))))) member(f1(w,first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v))))),w)* member(f1(w,first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v))))),sigma(u))*. % 300.16/300.42 28525[0:Res:541.1,3811.0] || -> single_valued_set(cross_product(u,v)) equal(w,second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v))))) member(f1(w,second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v))))),w)* member(f1(w,second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v))))),sigma(v))*. % 300.16/300.42 28524[0:Res:540.1,3811.0] || -> single_valued_set(cross_product(u,v)) equal(w,second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v))))) member(f1(w,second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v))))),w)* member(f1(w,second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v))))),sigma(v))*. % 300.16/300.42 28947[0:Res:554.1,3829.0] || -> single_valued_set(cross_product(u,v)) equal(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),w) member(f1(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),w),w)* member(f1(first(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),w),sigma(u))*. % 300.16/300.43 28946[0:Res:553.1,3829.0] || -> single_valued_set(cross_product(u,v)) equal(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),w) member(f1(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),w),w)* member(f1(first(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),w),sigma(u))*. % 300.16/300.43 28902[0:Res:541.1,3829.0] || -> single_valued_set(cross_product(u,v)) equal(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),w) member(f1(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),w),w)* member(f1(second(ordered_pair(f19(cross_product(u,v)),f20(cross_product(u,v)))),w),sigma(v))*. % 300.16/300.43 28901[0:Res:540.1,3829.0] || -> single_valued_set(cross_product(u,v)) equal(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),w) member(f1(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),w),w)* member(f1(second(ordered_pair(f19(cross_product(u,v)),f21(cross_product(u,v)))),w),sigma(v))*. % 300.16/300.43 29812[0:Res:142.3,5019.1] || closed(u,v) closed(f4(w,x),y) maps(z,f4(w,x),u) member(w,first(x)) equal(x1,x) -> homomorphism(z,f4(w,x),y,u,v) member(f32(z,f4(w,x),y,u,v),first(x1))*. % 300.16/300.43 29811[0:Res:143.3,5019.1] || closed(u,v) closed(f4(w,x),y) maps(z,f4(w,x),u) member(w,first(x)) equal(x1,x) -> homomorphism(z,f4(w,x),y,u,v) member(f33(z,f4(w,x),y,u,v),first(x1))*. % 300.16/300.43 30225[0:Res:142.3,5020.1] || closed(u,v) closed(f6(w,x),y) maps(z,f6(w,x),u) member(w,second(x)) equal(x1,x) -> homomorphism(z,f6(w,x),y,u,v) member(f32(z,f6(w,x),y,u,v),first(x1))*. % 300.16/300.43 30224[0:Res:143.3,5020.1] || closed(u,v) closed(f6(w,x),y) maps(z,f6(w,x),u) member(w,second(x)) equal(x1,x) -> homomorphism(z,f6(w,x),y,u,v) member(f33(z,f6(w,x),y,u,v),first(x1))*. % 300.16/300.43 30336[0:Res:142.3,5022.1] || closed(u,v) closed(f9(w,x),y) maps(z,f9(w,x),u) member(w,rotate_right(x)) equal(x1,w) -> homomorphism(z,f9(w,x),y,u,v) member(f32(z,f9(w,x),y,u,v),first(x1))*. % 300.16/300.43 30335[0:Res:143.3,5022.1] || closed(u,v) closed(f9(w,x),y) maps(z,f9(w,x),u) member(w,rotate_right(x)) equal(x1,w) -> homomorphism(z,f9(w,x),y,u,v) member(f33(z,f9(w,x),y,u,v),first(x1))*. % 300.16/300.43 30479[0:Res:142.3,5024.1] || closed(u,v) closed(f12(w,x),y) maps(z,f12(w,x),u) member(w,flip_range_of(x)) equal(x1,w) -> homomorphism(z,f12(w,x),y,u,v) member(f32(z,f12(w,x),y,u,v),first(x1))*. % 300.16/300.43 30478[0:Res:143.3,5024.1] || closed(u,v) closed(f12(w,x),y) maps(z,f12(w,x),u) member(w,flip_range_of(x)) equal(x1,w) -> homomorphism(z,f12(w,x),y,u,v) member(f33(z,f12(w,x),y,u,v),first(x1))*. % 300.16/300.43 30632[0:Res:142.3,5064.1] || closed(u,v) closed(f5(w,x),y) maps(z,f5(w,x),u) member(w,first(x)) equal(x1,x) -> homomorphism(z,f5(w,x),y,u,v) member(f32(z,f5(w,x),y,u,v),second(x1))*. % 300.16/300.43 30631[0:Res:143.3,5064.1] || closed(u,v) closed(f5(w,x),y) maps(z,f5(w,x),u) member(w,first(x)) equal(x1,x) -> homomorphism(z,f5(w,x),y,u,v) member(f33(z,f5(w,x),y,u,v),second(x1))*. % 300.16/300.43 30789[0:Res:142.3,5065.1] || closed(u,v) closed(f7(w,x),y) maps(z,f7(w,x),u) member(w,second(x)) equal(x1,x) -> homomorphism(z,f7(w,x),y,u,v) member(f32(z,f7(w,x),y,u,v),second(x1))*. % 300.16/300.43 30788[0:Res:143.3,5065.1] || closed(u,v) closed(f7(w,x),y) maps(z,f7(w,x),u) member(w,second(x)) equal(x1,x) -> homomorphism(z,f7(w,x),y,u,v) member(f33(z,f7(w,x),y,u,v),second(x1))*. % 300.16/300.43 33564[0:Res:395.0,1441.0] || -> subset(u,complement(converse(non_ordered_pair(v,w)))) equal(ordered_pair(second(f17(u,complement(converse(non_ordered_pair(v,w))))),first(f17(u,complement(converse(non_ordered_pair(v,w)))))),w)** equal(ordered_pair(second(f17(u,complement(converse(non_ordered_pair(v,w))))),first(f17(u,complement(converse(non_ordered_pair(v,w)))))),v)**. % 300.16/300.43 33544[0:Res:4258.0,1441.0] || -> equal(complement(converse(non_ordered_pair(u,v))),universal_set) equal(ordered_pair(second(f1(complement(converse(non_ordered_pair(u,v))),universal_set)),first(f1(complement(converse(non_ordered_pair(u,v))),universal_set))),v)** equal(ordered_pair(second(f1(complement(converse(non_ordered_pair(u,v))),universal_set)),first(f1(complement(converse(non_ordered_pair(u,v))),universal_set))),u)**. % 300.16/300.43 33800[0:Res:33.2,4284.1] || member(ordered_pair(f31(u,v,complement(intersection(w,x))),f30(u,v,complement(intersection(w,x)))),x)* member(ordered_pair(f31(u,v,complement(intersection(w,x))),f30(u,v,complement(intersection(w,x)))),w)* member(u,compose(v,complement(intersection(w,x)))) -> . % 300.16/300.43 33888[0:Res:33.2,4359.1] || member(ordered_pair(f29(u,complement(intersection(v,w)),x),f31(u,complement(intersection(v,w)),x)),w)* member(ordered_pair(f29(u,complement(intersection(v,w)),x),f31(u,complement(intersection(v,w)),x)),v)* member(u,compose(complement(intersection(v,w)),x)) -> . % 300.16/300.43 34346[0:Res:1549.1,1437.0] || member(u,image(cross_product(range_of(non_ordered_pair(v,w)),x),y)) -> equal(f27(first(first(f22(u,cross_product(range_of(non_ordered_pair(v,w)),x),y))),non_ordered_pair(v,w)),w)** equal(f27(first(first(f22(u,cross_product(range_of(non_ordered_pair(v,w)),x),y))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34300[0:Res:1550.1,1437.0] || member(u,image(cross_product(v,range_of(non_ordered_pair(w,x))),y)) -> equal(f27(second(first(f22(u,cross_product(v,range_of(non_ordered_pair(w,x))),y))),non_ordered_pair(w,x)),x)** equal(f27(second(first(f22(u,cross_product(v,range_of(non_ordered_pair(w,x))),y))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34518[0:Res:1549.1,1438.0] || member(u,image(cross_product(sigma(non_ordered_pair(v,w)),x),y)) -> equal(f16(first(first(f22(u,cross_product(sigma(non_ordered_pair(v,w)),x),y))),non_ordered_pair(v,w)),w)** equal(f16(first(first(f22(u,cross_product(sigma(non_ordered_pair(v,w)),x),y))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34472[0:Res:1550.1,1438.0] || member(u,image(cross_product(v,sigma(non_ordered_pair(w,x))),y)) -> equal(f16(second(first(f22(u,cross_product(v,sigma(non_ordered_pair(w,x))),y))),non_ordered_pair(w,x)),x)** equal(f16(second(first(f22(u,cross_product(v,sigma(non_ordered_pair(w,x))),y))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34683[0:Res:1549.1,1439.0] || member(u,image(cross_product(domain_of(non_ordered_pair(v,w)),x),y)) -> equal(f8(first(first(f22(u,cross_product(domain_of(non_ordered_pair(v,w)),x),y))),non_ordered_pair(v,w)),w)** equal(f8(first(first(f22(u,cross_product(domain_of(non_ordered_pair(v,w)),x),y))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34637[0:Res:1550.1,1439.0] || member(u,image(cross_product(v,domain_of(non_ordered_pair(w,x))),y)) -> equal(f8(second(first(f22(u,cross_product(v,domain_of(non_ordered_pair(w,x))),y))),non_ordered_pair(w,x)),x)** equal(f8(second(first(f22(u,cross_product(v,domain_of(non_ordered_pair(w,x))),y))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 39172[0:Res:4621.2,1438.0] || member(u,flip_range_of(v)) member(v,non_ordered_pair(w,x)) -> equal(f16(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x)),x)** equal(f16(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 39636[0:Res:4769.2,1438.0] || member(u,rotate_right(v)) member(v,non_ordered_pair(w,x)) -> equal(f16(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x)),x)** equal(f16(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 40262[0:Res:136.1,5068.1] || member(u,compose(v,ordered_pair(f10(w,x),f11(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(ordered_pair(f31(u,v,ordered_pair(f10(w,x),f11(w,x))),f30(u,v,ordered_pair(f10(w,x),f11(w,x)))),second(y))*. % 300.16/300.43 40254[0:Res:135.1,5068.1] || member(u,compose(ordered_pair(f10(v,w),f11(v,w)),x)) member(v,rotate_right(w)) equal(y,v) -> member(ordered_pair(f29(u,ordered_pair(f10(v,w),f11(v,w)),x),f31(u,ordered_pair(f10(v,w),f11(v,w)),x)),second(y))*. % 300.16/300.43 40442[0:Res:136.1,5070.1] || member(u,compose(v,ordered_pair(f13(w,x),f14(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(ordered_pair(f31(u,v,ordered_pair(f13(w,x),f14(w,x))),f30(u,v,ordered_pair(f13(w,x),f14(w,x)))),second(y))*. % 300.16/300.43 40434[0:Res:135.1,5070.1] || member(u,compose(ordered_pair(f13(v,w),f14(v,w)),x)) member(v,flip_range_of(w)) equal(y,v) -> member(ordered_pair(f29(u,ordered_pair(f13(v,w),f14(v,w)),x),f31(u,ordered_pair(f13(v,w),f14(v,w)),x)),second(y))*. % 300.16/300.43 40645[2:Res:25246.0,1441.0] || -> equal(complement(converse(non_ordered_pair(u,v))),universal_set) equal(ordered_pair(second(f1(universal_set,complement(converse(non_ordered_pair(u,v))))),first(f1(universal_set,complement(converse(non_ordered_pair(u,v)))))),v)** equal(ordered_pair(second(f1(universal_set,complement(converse(non_ordered_pair(u,v))))),first(f1(universal_set,complement(converse(non_ordered_pair(u,v)))))),u)**. % 300.16/300.43 42357[3:Res:4279.1,6176.0] || member(u,compose(v,cross_product(w,converse(x)))) -> ordered_pair_predicate(ordered_pair(second(second(ordered_pair(f31(u,v,cross_product(w,converse(x))),f30(u,v,cross_product(w,converse(x)))))),first(second(ordered_pair(f31(u,v,cross_product(w,converse(x))),f30(u,v,cross_product(w,converse(x))))))))*. % 300.16/300.43 42468[3:Res:4278.1,6176.0] || member(u,compose(v,cross_product(converse(w),x))) -> ordered_pair_predicate(ordered_pair(second(first(ordered_pair(f31(u,v,cross_product(converse(w),x)),f30(u,v,cross_product(converse(w),x))))),first(first(ordered_pair(f31(u,v,cross_product(converse(w),x)),f30(u,v,cross_product(converse(w),x)))))))*. % 300.16/300.43 42615[3:Res:4354.1,6176.0] || member(u,compose(cross_product(v,converse(w)),x)) -> ordered_pair_predicate(ordered_pair(second(second(ordered_pair(f29(u,cross_product(v,converse(w)),x),f31(u,cross_product(v,converse(w)),x)))),first(second(ordered_pair(f29(u,cross_product(v,converse(w)),x),f31(u,cross_product(v,converse(w)),x))))))*. % 300.16/300.43 42757[3:Res:4353.1,6176.0] || member(u,compose(cross_product(converse(v),w),x)) -> ordered_pair_predicate(ordered_pair(second(first(ordered_pair(f29(u,cross_product(converse(v),w),x),f31(u,cross_product(converse(v),w),x)))),first(first(ordered_pair(f29(u,cross_product(converse(v),w),x),f31(u,cross_product(converse(v),w),x))))))*. % 300.16/300.43 42972[0:Res:557.1,1442.0] || member(u,range_of(cross_product(apply(non_ordered_pair(v,w),x),y))) -> equal(f28(first(f27(u,cross_product(apply(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x),w)** equal(f28(first(f27(u,cross_product(apply(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x),v)**. % 300.16/300.43 42971[0:Res:558.1,1442.0] || member(u,sigma(cross_product(apply(non_ordered_pair(v,w),x),y))) -> equal(f28(first(f16(u,cross_product(apply(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x),w)** equal(f28(first(f16(u,cross_product(apply(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x),v)**. % 300.16/300.43 42920[0:Res:545.1,1442.0] || member(u,sigma(cross_product(v,apply(non_ordered_pair(w,x),y)))) -> equal(f28(second(f16(u,cross_product(v,apply(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y),x)** equal(f28(second(f16(u,cross_product(v,apply(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42919[0:Res:546.1,1442.0] || member(u,domain_of(cross_product(v,apply(non_ordered_pair(w,x),y)))) -> equal(f28(second(f8(u,cross_product(v,apply(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y),x)** equal(f28(second(f8(u,cross_product(v,apply(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 43149[0:Res:557.1,1443.0] || member(u,range_of(cross_product(image(v,non_ordered_pair(w,x)),y))) -> equal(f22(first(f27(u,cross_product(image(v,non_ordered_pair(w,x)),y))),v,non_ordered_pair(w,x)),x)** equal(f22(first(f27(u,cross_product(image(v,non_ordered_pair(w,x)),y))),v,non_ordered_pair(w,x)),w)**. % 300.16/300.43 43148[0:Res:558.1,1443.0] || member(u,sigma(cross_product(image(v,non_ordered_pair(w,x)),y))) -> equal(f22(first(f16(u,cross_product(image(v,non_ordered_pair(w,x)),y))),v,non_ordered_pair(w,x)),x)** equal(f22(first(f16(u,cross_product(image(v,non_ordered_pair(w,x)),y))),v,non_ordered_pair(w,x)),w)**. % 300.16/300.43 43097[0:Res:545.1,1443.0] || member(u,sigma(cross_product(v,image(w,non_ordered_pair(x,y))))) -> equal(f22(second(f16(u,cross_product(v,image(w,non_ordered_pair(x,y))))),w,non_ordered_pair(x,y)),y)** equal(f22(second(f16(u,cross_product(v,image(w,non_ordered_pair(x,y))))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43096[0:Res:546.1,1443.0] || member(u,domain_of(cross_product(v,image(w,non_ordered_pair(x,y))))) -> equal(f22(second(f8(u,cross_product(v,image(w,non_ordered_pair(x,y))))),w,non_ordered_pair(x,y)),y)** equal(f22(second(f8(u,cross_product(v,image(w,non_ordered_pair(x,y))))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43484[3:MRR:43425.0,6177.1] || member(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),apply(x,y)) member(u,image(v,w)) disjoint(converse(second(f28(ordered_pair(second(first(f22(u,v,w))),first(first(f22(u,v,w)))),x,y))),v)* -> . % 300.16/300.43 44040[0:MRR:43989.0,43989.1,85.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(f19(non_ordered_pair(w,x)),ordered_pair(f21(non_ordered_pair(w,x)),u)),y)* -> single_valued_set(non_ordered_pair(w,x)) equal(ordered_pair(f19(non_ordered_pair(w,x)),f21(non_ordered_pair(w,x))),x) member(v,rotate_right(y))*. % 300.16/300.43 44041[0:MRR:43988.0,43988.1,85.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(u,ordered_pair(f21(non_ordered_pair(w,x)),f19(non_ordered_pair(w,x)))),y)* -> single_valued_set(non_ordered_pair(w,x)) equal(ordered_pair(f19(non_ordered_pair(w,x)),f21(non_ordered_pair(w,x))),x) member(v,flip_range_of(y))*. % 300.16/300.43 44042[0:MRR:43975.0,43975.1,85.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(f19(non_ordered_pair(x,w)),ordered_pair(f21(non_ordered_pair(x,w)),u)),y)* -> single_valued_set(non_ordered_pair(x,w)) equal(ordered_pair(f19(non_ordered_pair(x,w)),f21(non_ordered_pair(x,w))),x) member(v,rotate_right(y))*. % 300.16/300.43 44043[0:MRR:43974.0,43974.1,85.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(u,ordered_pair(f21(non_ordered_pair(x,w)),f19(non_ordered_pair(x,w)))),y)* -> single_valued_set(non_ordered_pair(x,w)) equal(ordered_pair(f19(non_ordered_pair(x,w)),f21(non_ordered_pair(x,w))),x) member(v,flip_range_of(y))*. % 300.16/300.43 44184[0:MRR:44133.0,44133.1,84.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(f19(non_ordered_pair(w,x)),ordered_pair(f20(non_ordered_pair(w,x)),u)),y)* -> single_valued_set(non_ordered_pair(w,x)) equal(ordered_pair(f19(non_ordered_pair(w,x)),f20(non_ordered_pair(w,x))),x) member(v,rotate_right(y))*. % 300.16/300.43 44185[0:MRR:44132.0,44132.1,84.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(u,ordered_pair(f20(non_ordered_pair(w,x)),f19(non_ordered_pair(w,x)))),y)* -> single_valued_set(non_ordered_pair(w,x)) equal(ordered_pair(f19(non_ordered_pair(w,x)),f20(non_ordered_pair(w,x))),x) member(v,flip_range_of(y))*. % 300.16/300.43 44186[0:MRR:44119.0,44119.1,84.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(f19(non_ordered_pair(x,w)),ordered_pair(f20(non_ordered_pair(x,w)),u)),y)* -> single_valued_set(non_ordered_pair(x,w)) equal(ordered_pair(f19(non_ordered_pair(x,w)),f20(non_ordered_pair(x,w))),x) member(v,rotate_right(y))*. % 300.16/300.43 44187[0:MRR:44118.0,44118.1,84.1,83.1] little_set(u) little_set(v) || equal(v,ordered_pair(u,w))* member(ordered_pair(u,ordered_pair(f20(non_ordered_pair(x,w)),f19(non_ordered_pair(x,w)))),y)* -> single_valued_set(non_ordered_pair(x,w)) equal(ordered_pair(f19(non_ordered_pair(x,w)),f20(non_ordered_pair(x,w))),x) member(v,flip_range_of(y))*. % 300.16/300.43 44339[0:Res:4635.1,314.0] || member(u,flip_range_of(intersection(v,intersection(complement(w),complement(x))))) member(ordered_pair(f12(u,intersection(v,intersection(complement(w),complement(x)))),ordered_pair(f14(u,intersection(v,intersection(complement(w),complement(x)))),f13(u,intersection(v,intersection(complement(w),complement(x)))))),union(w,x))* -> . % 300.16/300.43 44594[0:Res:4634.1,314.0] || member(u,flip_range_of(intersection(intersection(complement(v),complement(w)),x))) member(ordered_pair(f12(u,intersection(intersection(complement(v),complement(w)),x)),ordered_pair(f14(u,intersection(intersection(complement(v),complement(w)),x)),f13(u,intersection(intersection(complement(v),complement(w)),x)))),union(v,w))* -> . % 300.16/300.43 45113[0:Res:4783.1,314.0] || member(u,rotate_right(intersection(v,intersection(complement(w),complement(x))))) member(ordered_pair(f10(u,intersection(v,intersection(complement(w),complement(x)))),ordered_pair(f11(u,intersection(v,intersection(complement(w),complement(x)))),f9(u,intersection(v,intersection(complement(w),complement(x)))))),union(w,x))* -> . % 300.16/300.43 46240[0:Res:4782.1,314.0] || member(u,rotate_right(intersection(intersection(complement(v),complement(w)),x))) member(ordered_pair(f10(u,intersection(intersection(complement(v),complement(w)),x)),ordered_pair(f11(u,intersection(intersection(complement(v),complement(w)),x)),f9(u,intersection(intersection(complement(v),complement(w)),x)))),union(v,w))* -> . % 300.16/300.43 47307[0:Res:556.1,1558.0] || -> disjoint(u,cross_product(image(non_ordered_pair(v,w),x),y)) equal(first(f22(first(f23(u,cross_product(image(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x)),w)** equal(first(f22(first(f23(u,cross_product(image(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47303[0:Res:552.1,1558.0] || -> subset(cross_product(image(non_ordered_pair(u,v),w),x),y) equal(first(f22(first(f17(cross_product(image(non_ordered_pair(u,v),w),x),y)),non_ordered_pair(u,v),w)),v)** equal(first(f22(first(f17(cross_product(image(non_ordered_pair(u,v),w),x),y)),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 47302[0:Res:551.1,1558.0] || -> disjoint(cross_product(image(non_ordered_pair(u,v),w),x),y) equal(first(f22(first(f23(cross_product(image(non_ordered_pair(u,v),w),x),y)),non_ordered_pair(u,v),w)),v)** equal(first(f22(first(f23(cross_product(image(non_ordered_pair(u,v),w),x),y)),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 47266[0:Res:427.1,1558.0] || member(u,range_of(intersection(v,image(non_ordered_pair(w,x),y)))) -> equal(first(f22(f27(u,intersection(v,image(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y)),x)** equal(first(f22(f27(u,intersection(v,image(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47264[0:Res:456.1,1558.0] || member(u,sigma(intersection(v,image(non_ordered_pair(w,x),y)))) -> equal(first(f22(f16(u,intersection(v,image(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y)),x)** equal(first(f22(f16(u,intersection(v,image(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47262[0:Res:494.1,1558.0] || member(u,domain_of(intersection(v,image(non_ordered_pair(w,x),y)))) -> equal(first(f22(f8(u,intersection(v,image(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y)),x)** equal(first(f22(f8(u,intersection(v,image(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47249[0:Res:543.1,1558.0] || -> disjoint(u,cross_product(v,image(non_ordered_pair(w,x),y))) equal(first(f22(second(f23(u,cross_product(v,image(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y)),x)** equal(first(f22(second(f23(u,cross_product(v,image(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47241[0:Res:539.1,1558.0] || -> subset(cross_product(u,image(non_ordered_pair(v,w),x)),y) equal(first(f22(second(f17(cross_product(u,image(non_ordered_pair(v,w),x)),y)),non_ordered_pair(v,w),x)),w)** equal(first(f22(second(f17(cross_product(u,image(non_ordered_pair(v,w),x)),y)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47240[0:Res:538.1,1558.0] || -> disjoint(cross_product(u,image(non_ordered_pair(v,w),x)),y) equal(first(f22(second(f23(cross_product(u,image(non_ordered_pair(v,w),x)),y)),non_ordered_pair(v,w),x)),w)** equal(first(f22(second(f23(cross_product(u,image(non_ordered_pair(v,w),x)),y)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47232[0:Res:426.1,1558.0] || member(u,range_of(intersection(image(non_ordered_pair(v,w),x),y))) -> equal(first(f22(f27(u,intersection(image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f27(u,intersection(image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47230[0:Res:455.1,1558.0] || member(u,sigma(intersection(image(non_ordered_pair(v,w),x),y))) -> equal(first(f22(f16(u,intersection(image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f16(u,intersection(image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47228[0:Res:493.1,1558.0] || member(u,domain_of(intersection(image(non_ordered_pair(v,w),x),y))) -> equal(first(f22(f8(u,intersection(image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f8(u,intersection(image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47404[0:Res:3837.1,314.0] || member(f1(non_ordered_pair(u,v),intersection(complement(w),complement(x))),union(w,x))* -> equal(non_ordered_pair(u,v),intersection(complement(w),complement(x))) equal(f1(non_ordered_pair(u,v),intersection(complement(w),complement(x))),v) equal(f1(non_ordered_pair(u,v),intersection(complement(w),complement(x))),u). % 300.16/300.43 47362[0:Res:3837.1,3811.0] || -> equal(non_ordered_pair(u,v),w) equal(f1(non_ordered_pair(u,v),w),v) equal(f1(non_ordered_pair(u,v),w),u) equal(x,f1(non_ordered_pair(u,v),w)) member(f1(x,f1(non_ordered_pair(u,v),w)),x)* member(f1(x,f1(non_ordered_pair(u,v),w)),sigma(w))*. % 300.16/300.43 47361[0:Res:3837.1,3829.0] || -> equal(non_ordered_pair(u,v),w) equal(f1(non_ordered_pair(u,v),w),v) equal(f1(non_ordered_pair(u,v),w),u) equal(f1(non_ordered_pair(u,v),w),x) member(f1(f1(non_ordered_pair(u,v),w),x),x)* member(f1(f1(non_ordered_pair(u,v),w),x),sigma(w))*. % 300.16/300.43 47849[0:Res:3819.1,314.0] || member(f1(intersection(complement(u),complement(v)),non_ordered_pair(w,x)),union(u,v))* -> equal(intersection(complement(u),complement(v)),non_ordered_pair(w,x)) equal(f1(intersection(complement(u),complement(v)),non_ordered_pair(w,x)),x) equal(f1(intersection(complement(u),complement(v)),non_ordered_pair(w,x)),w). % 300.16/300.43 47807[0:Res:3819.1,3811.0] || -> equal(u,non_ordered_pair(v,w)) equal(f1(u,non_ordered_pair(v,w)),w) equal(f1(u,non_ordered_pair(v,w)),v) equal(x,f1(u,non_ordered_pair(v,w))) member(f1(x,f1(u,non_ordered_pair(v,w))),x)* member(f1(x,f1(u,non_ordered_pair(v,w))),sigma(u))*. % 300.16/300.43 47806[0:Res:3819.1,3829.0] || -> equal(u,non_ordered_pair(v,w)) equal(f1(u,non_ordered_pair(v,w)),w) equal(f1(u,non_ordered_pair(v,w)),v) equal(f1(u,non_ordered_pair(v,w)),x) member(f1(f1(u,non_ordered_pair(v,w)),x),x)* member(f1(f1(u,non_ordered_pair(v,w)),x),sigma(u))*. % 300.16/300.43 64298[0:Res:4628.1,5065.1] || member(u,flip_range_of(cross_product(v,f7(w,x)))) member(w,second(x)) equal(y,x) -> member(second(ordered_pair(f12(u,cross_product(v,f7(w,x))),ordered_pair(f14(u,cross_product(v,f7(w,x))),f13(u,cross_product(v,f7(w,x)))))),second(y))*. % 300.16/300.43 64297[0:Res:4628.1,5064.1] || member(u,flip_range_of(cross_product(v,f5(w,x)))) member(w,first(x)) equal(y,x) -> member(second(ordered_pair(f12(u,cross_product(v,f5(w,x))),ordered_pair(f14(u,cross_product(v,f5(w,x))),f13(u,cross_product(v,f5(w,x)))))),second(y))*. % 300.16/300.43 64296[0:Res:4628.1,5024.1] || member(u,flip_range_of(cross_product(v,f12(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(second(ordered_pair(f12(u,cross_product(v,f12(w,x))),ordered_pair(f14(u,cross_product(v,f12(w,x))),f13(u,cross_product(v,f12(w,x)))))),first(y))*. % 300.16/300.43 64295[0:Res:4628.1,5022.1] || member(u,flip_range_of(cross_product(v,f9(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(second(ordered_pair(f12(u,cross_product(v,f9(w,x))),ordered_pair(f14(u,cross_product(v,f9(w,x))),f13(u,cross_product(v,f9(w,x)))))),first(y))*. % 300.16/300.43 64294[0:Res:4628.1,5020.1] || member(u,flip_range_of(cross_product(v,f6(w,x)))) member(w,second(x)) equal(y,x) -> member(second(ordered_pair(f12(u,cross_product(v,f6(w,x))),ordered_pair(f14(u,cross_product(v,f6(w,x))),f13(u,cross_product(v,f6(w,x)))))),first(y))*. % 300.16/300.43 64293[0:Res:4628.1,5019.1] || member(u,flip_range_of(cross_product(v,f4(w,x)))) member(w,first(x)) equal(y,x) -> member(second(ordered_pair(f12(u,cross_product(v,f4(w,x))),ordered_pair(f14(u,cross_product(v,f4(w,x))),f13(u,cross_product(v,f4(w,x)))))),first(y))*. % 300.16/300.43 64405[0:Res:4627.1,5065.1] || member(u,flip_range_of(cross_product(f7(v,w),x))) member(v,second(w)) equal(y,w) -> member(first(ordered_pair(f12(u,cross_product(f7(v,w),x)),ordered_pair(f14(u,cross_product(f7(v,w),x)),f13(u,cross_product(f7(v,w),x))))),second(y))*. % 300.16/300.43 64404[0:Res:4627.1,5064.1] || member(u,flip_range_of(cross_product(f5(v,w),x))) member(v,first(w)) equal(y,w) -> member(first(ordered_pair(f12(u,cross_product(f5(v,w),x)),ordered_pair(f14(u,cross_product(f5(v,w),x)),f13(u,cross_product(f5(v,w),x))))),second(y))*. % 300.16/300.43 64403[0:Res:4627.1,5024.1] || member(u,flip_range_of(cross_product(f12(v,w),x))) member(v,flip_range_of(w)) equal(y,v) -> member(first(ordered_pair(f12(u,cross_product(f12(v,w),x)),ordered_pair(f14(u,cross_product(f12(v,w),x)),f13(u,cross_product(f12(v,w),x))))),first(y))*. % 300.16/300.43 64402[0:Res:4627.1,5022.1] || member(u,flip_range_of(cross_product(f9(v,w),x))) member(v,rotate_right(w)) equal(y,v) -> member(first(ordered_pair(f12(u,cross_product(f9(v,w),x)),ordered_pair(f14(u,cross_product(f9(v,w),x)),f13(u,cross_product(f9(v,w),x))))),first(y))*. % 300.16/300.43 64401[0:Res:4627.1,5020.1] || member(u,flip_range_of(cross_product(f6(v,w),x))) member(v,second(w)) equal(y,w) -> member(first(ordered_pair(f12(u,cross_product(f6(v,w),x)),ordered_pair(f14(u,cross_product(f6(v,w),x)),f13(u,cross_product(f6(v,w),x))))),first(y))*. % 300.16/300.43 64400[0:Res:4627.1,5019.1] || member(u,flip_range_of(cross_product(f4(v,w),x))) member(v,first(w)) equal(y,w) -> member(first(ordered_pair(f12(u,cross_product(f4(v,w),x)),ordered_pair(f14(u,cross_product(f4(v,w),x)),f13(u,cross_product(f4(v,w),x))))),first(y))*. % 300.16/300.43 64554[0:Res:4776.1,5065.1] || member(u,rotate_right(cross_product(v,f7(w,x)))) member(w,second(x)) equal(y,x) -> member(second(ordered_pair(f10(u,cross_product(v,f7(w,x))),ordered_pair(f11(u,cross_product(v,f7(w,x))),f9(u,cross_product(v,f7(w,x)))))),second(y))*. % 300.16/300.43 64553[0:Res:4776.1,5064.1] || member(u,rotate_right(cross_product(v,f5(w,x)))) member(w,first(x)) equal(y,x) -> member(second(ordered_pair(f10(u,cross_product(v,f5(w,x))),ordered_pair(f11(u,cross_product(v,f5(w,x))),f9(u,cross_product(v,f5(w,x)))))),second(y))*. % 300.16/300.43 64552[0:Res:4776.1,5024.1] || member(u,rotate_right(cross_product(v,f12(w,x)))) member(w,flip_range_of(x)) equal(y,w) -> member(second(ordered_pair(f10(u,cross_product(v,f12(w,x))),ordered_pair(f11(u,cross_product(v,f12(w,x))),f9(u,cross_product(v,f12(w,x)))))),first(y))*. % 300.16/300.43 64551[0:Res:4776.1,5022.1] || member(u,rotate_right(cross_product(v,f9(w,x)))) member(w,rotate_right(x)) equal(y,w) -> member(second(ordered_pair(f10(u,cross_product(v,f9(w,x))),ordered_pair(f11(u,cross_product(v,f9(w,x))),f9(u,cross_product(v,f9(w,x)))))),first(y))*. % 300.16/300.43 64550[0:Res:4776.1,5020.1] || member(u,rotate_right(cross_product(v,f6(w,x)))) member(w,second(x)) equal(y,x) -> member(second(ordered_pair(f10(u,cross_product(v,f6(w,x))),ordered_pair(f11(u,cross_product(v,f6(w,x))),f9(u,cross_product(v,f6(w,x)))))),first(y))*. % 300.16/300.43 64549[0:Res:4776.1,5019.1] || member(u,rotate_right(cross_product(v,f4(w,x)))) member(w,first(x)) equal(y,x) -> member(second(ordered_pair(f10(u,cross_product(v,f4(w,x))),ordered_pair(f11(u,cross_product(v,f4(w,x))),f9(u,cross_product(v,f4(w,x)))))),first(y))*. % 300.16/300.43 64664[0:Res:4775.1,5065.1] || member(u,rotate_right(cross_product(f7(v,w),x))) member(v,second(w)) equal(y,w) -> member(first(ordered_pair(f10(u,cross_product(f7(v,w),x)),ordered_pair(f11(u,cross_product(f7(v,w),x)),f9(u,cross_product(f7(v,w),x))))),second(y))*. % 300.16/300.43 64663[0:Res:4775.1,5064.1] || member(u,rotate_right(cross_product(f5(v,w),x))) member(v,first(w)) equal(y,w) -> member(first(ordered_pair(f10(u,cross_product(f5(v,w),x)),ordered_pair(f11(u,cross_product(f5(v,w),x)),f9(u,cross_product(f5(v,w),x))))),second(y))*. % 300.16/300.43 64662[0:Res:4775.1,5024.1] || member(u,rotate_right(cross_product(f12(v,w),x))) member(v,flip_range_of(w)) equal(y,v) -> member(first(ordered_pair(f10(u,cross_product(f12(v,w),x)),ordered_pair(f11(u,cross_product(f12(v,w),x)),f9(u,cross_product(f12(v,w),x))))),first(y))*. % 300.16/300.43 64661[0:Res:4775.1,5022.1] || member(u,rotate_right(cross_product(f9(v,w),x))) member(v,rotate_right(w)) equal(y,v) -> member(first(ordered_pair(f10(u,cross_product(f9(v,w),x)),ordered_pair(f11(u,cross_product(f9(v,w),x)),f9(u,cross_product(f9(v,w),x))))),first(y))*. % 300.16/300.43 64660[0:Res:4775.1,5020.1] || member(u,rotate_right(cross_product(f6(v,w),x))) member(v,second(w)) equal(y,w) -> member(first(ordered_pair(f10(u,cross_product(f6(v,w),x)),ordered_pair(f11(u,cross_product(f6(v,w),x)),f9(u,cross_product(f6(v,w),x))))),first(y))*. % 300.16/300.43 64659[0:Res:4775.1,5019.1] || member(u,rotate_right(cross_product(f4(v,w),x))) member(v,first(w)) equal(y,w) -> member(first(ordered_pair(f10(u,cross_product(f4(v,w),x)),ordered_pair(f11(u,cross_product(f4(v,w),x)),f9(u,cross_product(f4(v,w),x))))),first(y))*. % 300.16/300.43 65357[0:Res:5054.3,5227.3] little_set(u) little_set(v) little_set(w) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(f31(x,y,second(ordered_pair(v,u))),w),u)* member(x,compose(y,second(ordered_pair(v,u)))) -> equal(w,f30(x,y,second(ordered_pair(v,u)))). % 300.16/300.43 65356[0:Res:5009.3,5227.3] little_set(u) little_set(v) little_set(w) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(f31(x,y,first(ordered_pair(v,u))),w),v)* member(x,compose(y,first(ordered_pair(v,u)))) -> equal(w,f30(x,y,first(ordered_pair(v,u)))). % 300.16/300.43 65572[0:Res:5054.3,5228.3] little_set(u) little_set(v) little_set(w) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(f29(x,second(ordered_pair(v,u)),y),w),u)* member(x,compose(second(ordered_pair(v,u)),y)) -> equal(w,f31(x,second(ordered_pair(v,u)),y)). % 300.16/300.43 65571[0:Res:5009.3,5228.3] little_set(u) little_set(v) little_set(w) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(f29(x,first(ordered_pair(v,u)),y),w),v)* member(x,compose(first(ordered_pair(v,u)),y)) -> equal(w,f31(x,first(ordered_pair(v,u)),y)). % 300.16/300.43 68153[0:Res:5257.5,5066.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f30(z,x1,x2))* member(z,compose(x1,x2)) equal(x3,z)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),second(x3))*. % 300.16/300.43 68152[0:Res:5257.5,5025.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f29(z,x1,x2))* member(z,compose(x1,x2)) equal(x3,z)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),first(x3))*. % 300.16/300.43 68104[0:Res:5257.5,1009.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(z))* subset(z,x1)* -> homomorphism(y,w,x,u,v) member(ordered_pair(second(f33(y,w,x,u,v)),first(f33(y,w,x,u,v))),x1)*. % 300.16/300.43 68256[0:Res:5302.5,5066.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f30(z,x1,x2))* member(z,compose(x1,x2)) equal(x3,z)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),second(x3))*. % 300.16/300.43 68255[0:Res:5302.5,5025.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,f29(z,x1,x2))* member(z,compose(x1,x2)) equal(x3,z)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),first(x3))*. % 300.16/300.43 68207[0:Res:5302.5,1009.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(z))* subset(z,x1)* -> homomorphism(y,w,x,u,v) member(ordered_pair(second(f32(y,w,x,u,v)),first(f32(y,w,x,u,v))),x1)*. % 300.16/300.43 68401[0:Res:67.1,5236.4] little_set(u) single_valued_set(f16(ordered_pair(f9(v,w),u),x)) || member(ordered_pair(f9(v,w),u),sigma(x)) member(v,rotate_right(w)) member(v,f16(ordered_pair(f9(v,w),u),x))* -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 300.16/300.43 68400[0:Res:21.1,5236.4] little_set(u) single_valued_set(f4(ordered_pair(f9(v,w),u),x)) || member(ordered_pair(f9(v,w),u),first(x)) member(v,rotate_right(w)) member(v,f4(ordered_pair(f9(v,w),u),x))* -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 300.16/300.43 68399[0:Res:26.1,5236.4] little_set(u) single_valued_set(f7(ordered_pair(f9(v,w),u),x)) || member(ordered_pair(f9(v,w),u),second(x)) member(v,rotate_right(w)) member(v,f7(ordered_pair(f9(v,w),u),x))* -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 300.16/300.43 68432[0:MRR:68412.0,1545.1] single_valued_set(u) || member(f9(v,w),image(x,y)) member(f22(f9(v,w),x,y),converse(u))* member(v,rotate_right(w)) member(v,u) -> equal(first(f22(f9(v,w),x,y)),ordered_pair(f10(v,w),f11(v,w)))*. % 300.16/300.43 68651[0:Res:67.1,5238.4] little_set(u) single_valued_set(f16(ordered_pair(f12(v,w),u),x)) || member(ordered_pair(f12(v,w),u),sigma(x)) member(v,flip_range_of(w)) member(v,f16(ordered_pair(f12(v,w),u),x))* -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 300.16/300.43 68650[0:Res:21.1,5238.4] little_set(u) single_valued_set(f4(ordered_pair(f12(v,w),u),x)) || member(ordered_pair(f12(v,w),u),first(x)) member(v,flip_range_of(w)) member(v,f4(ordered_pair(f12(v,w),u),x))* -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 300.16/300.43 68649[0:Res:26.1,5238.4] little_set(u) single_valued_set(f7(ordered_pair(f12(v,w),u),x)) || member(ordered_pair(f12(v,w),u),second(x)) member(v,flip_range_of(w)) member(v,f7(ordered_pair(f12(v,w),u),x))* -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 300.16/300.43 68692[0:MRR:68667.0,1545.1] single_valued_set(u) || member(f12(v,w),image(x,y)) member(f22(f12(v,w),x,y),converse(u))* member(v,flip_range_of(w)) member(v,u) -> equal(first(f22(f12(v,w),x,y)),ordered_pair(f13(v,w),f14(v,w)))*. % 300.16/300.43 69162[0:Res:3651.2,5255.3] || member(f33(u,v,w,x,y),cross_product(z,universal_set))* member(f33(u,v,w,x,y),x1)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(restrict(x1,z),v)* -> homomorphism(u,v,w,x,y). % 300.16/300.43 69186[3:MRR:69144.0,6184.4] || member(second(f33(u,v,w,x,y)),z)* member(first(f33(u,v,w,x,y)),x1)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(cross_product(x1,z),v)* -> homomorphism(u,v,w,x,y). % 300.16/300.43 69400[0:Res:3651.2,5300.3] || member(f32(u,v,w,x,y),cross_product(z,universal_set))* member(f32(u,v,w,x,y),x1)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(restrict(x1,z),v)* -> homomorphism(u,v,w,x,y). % 300.16/300.43 69423[3:MRR:69382.0,6185.4] || member(second(f32(u,v,w,x,y)),z)* member(first(f32(u,v,w,x,y)),x1)* closed(x,y) closed(v,w) maps(u,v,x) disjoint(cross_product(x1,z),v)* -> homomorphism(u,v,w,x,y). % 300.16/300.43 69751[3:MRR:69750.1,49.1] little_set(u) single_valued_set(apply(v,w)) || member(x,rotate_right(second(y))) member(y,v) equal(first(y),w) member(ordered_pair(f10(x,second(y)),u),apply(v,w))* -> equal(u,ordered_pair(f11(x,second(y)),f9(x,second(y))))*. % 300.16/300.43 70048[3:MRR:70047.1,54.1] little_set(u) single_valued_set(apply(v,w)) || member(x,flip_range_of(second(y))) member(y,v) equal(first(y),w) member(ordered_pair(f12(x,second(y)),u),apply(v,w))* -> equal(u,ordered_pair(f14(x,second(y)),f13(x,second(y))))*. % 300.16/300.43 70050[3:SSi:70049.0,371.0] single_valued_set(apply(u,v)) || member(w,u)* equal(first(w),v)* member(x,flip_range_of(second(w))) member(x,apply(u,v))* -> equal(ordered_pair(f14(x,second(w)),f13(x,second(w))),ordered_pair(f13(x,second(w)),f14(x,second(w))))**. % 300.16/300.43 70464[0:Res:3651.2,5163.4] little_set(u) || member(first(f22(v,w,x)),cross_product(y,universal_set))* member(first(f22(v,w,x)),z)* member(v,image(w,x)) member(f22(v,w,x),x1)* equal(v,u)* -> member(u,image(restrict(z,y),x1))*. % 300.16/300.43 70496[3:MRR:70446.0,6177.1] little_set(u) || member(second(first(f22(v,w,x))),y)* member(first(first(f22(v,w,x))),z)* member(v,image(w,x)) member(f22(v,w,x),x1)* equal(v,u)* -> member(u,image(cross_product(z,y),x1))*. % 300.16/300.43 70558[0:Res:5270.4,274.0] || closed(u,v) closed(intersection(w,restrict(x,y)),z) maps(x1,intersection(w,restrict(x,y)),u) -> homomorphism(x1,intersection(w,restrict(x,y)),z,u,v) member(f33(x1,intersection(w,restrict(x,y)),z,u,v),cross_product(y,universal_set))*. % 300.16/300.43 70654[0:Res:5269.4,274.0] || closed(u,v) closed(intersection(restrict(w,x),y),z) maps(x1,intersection(restrict(w,x),y),u) -> homomorphism(x1,intersection(restrict(w,x),y),z,u,v) member(f33(x1,intersection(restrict(w,x),y),z,u,v),cross_product(x,universal_set))*. % 300.16/300.43 70778[0:Res:5315.4,274.0] || closed(u,v) closed(intersection(w,restrict(x,y)),z) maps(x1,intersection(w,restrict(x,y)),u) -> homomorphism(x1,intersection(w,restrict(x,y)),z,u,v) member(f32(x1,intersection(w,restrict(x,y)),z,u,v),cross_product(y,universal_set))*. % 300.16/300.43 70858[0:Res:5314.4,274.0] || closed(u,v) closed(intersection(restrict(w,x),y),z) maps(x1,intersection(restrict(w,x),y),u) -> homomorphism(x1,intersection(restrict(w,x),y),z,u,v) member(f32(x1,intersection(restrict(w,x),y),z,u,v),cross_product(x,universal_set))*. % 300.16/300.43 70997[0:Res:5054.3,6080.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,f5(y,z)),u)* member(y,first(z)) equal(x,z)* member(ordered_pair(f4(y,z),w),x1)* -> member(x,compose(x1,second(ordered_pair(v,u))))*. % 300.16/300.43 70996[0:Res:5009.3,6080.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,f5(y,z)),v)* member(y,first(z)) equal(x,z)* member(ordered_pair(f4(y,z),w),x1)* -> member(x,compose(x1,first(ordered_pair(v,u))))*. % 300.16/300.43 71068[0:Res:5054.3,6081.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,f7(y,z)),u)* member(y,second(z)) equal(x,z)* member(ordered_pair(f6(y,z),w),x1)* -> member(x,compose(x1,second(ordered_pair(v,u))))*. % 300.16/300.43 71067[0:Res:5009.3,6081.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,f7(y,z)),v)* member(y,second(z)) equal(x,z)* member(ordered_pair(f6(y,z),w),x1)* -> member(x,compose(x1,first(ordered_pair(v,u))))*. % 300.16/300.43 71175[0:Res:5054.3,5363.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(f29(y,z,x1),ordered_pair(f30(y,z,x1),w)),u)* member(y,compose(z,x1)) equal(x,ordered_pair(w,y))* -> member(x,rotate_right(second(ordered_pair(v,u))))*. % 300.16/300.43 71174[0:Res:5009.3,5363.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(f29(y,z,x1),ordered_pair(f30(y,z,x1),w)),v)* member(y,compose(z,x1)) equal(x,ordered_pair(w,y))* -> member(x,rotate_right(first(ordered_pair(v,u))))*. % 300.16/300.43 71307[0:Res:5054.3,6058.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f30(y,z,x1),f29(y,z,x1))),u)* member(y,compose(z,x1)) equal(x,ordered_pair(w,y))* -> member(x,flip_range_of(second(ordered_pair(v,u))))*. % 300.16/300.43 71306[0:Res:5009.3,6058.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f30(y,z,x1),f29(y,z,x1))),v)* member(y,compose(z,x1)) equal(x,ordered_pair(w,y))* -> member(x,flip_range_of(first(ordered_pair(v,u))))*. % 300.16/300.43 71367[0:Res:5263.4,43.0] || closed(u,v) closed(cross_product(w,cross_product(x,y)),z) maps(x1,cross_product(w,cross_product(x,y)),u) -> homomorphism(x1,cross_product(w,cross_product(x,y)),z,u,v) member(second(second(f33(x1,cross_product(w,cross_product(x,y)),z,u,v))),y)*. % 300.16/300.43 71366[0:Res:5263.4,42.0] || closed(u,v) closed(cross_product(w,cross_product(x,y)),z) maps(x1,cross_product(w,cross_product(x,y)),u) -> homomorphism(x1,cross_product(w,cross_product(x,y)),z,u,v) member(first(second(f33(x1,cross_product(w,cross_product(x,y)),z,u,v))),x)*. % 300.16/300.43 71472[0:Res:5262.4,43.0] || closed(u,v) closed(cross_product(cross_product(w,x),y),z) maps(x1,cross_product(cross_product(w,x),y),u) -> homomorphism(x1,cross_product(cross_product(w,x),y),z,u,v) member(second(first(f33(x1,cross_product(cross_product(w,x),y),z,u,v))),x)*. % 300.16/300.43 71471[0:Res:5262.4,42.0] || closed(u,v) closed(cross_product(cross_product(w,x),y),z) maps(x1,cross_product(cross_product(w,x),y),u) -> homomorphism(x1,cross_product(cross_product(w,x),y),z,u,v) member(first(first(f33(x1,cross_product(cross_product(w,x),y),z,u,v))),w)*. % 300.16/300.43 71618[0:Res:5308.4,43.0] || closed(u,v) closed(cross_product(w,cross_product(x,y)),z) maps(x1,cross_product(w,cross_product(x,y)),u) -> homomorphism(x1,cross_product(w,cross_product(x,y)),z,u,v) member(second(second(f32(x1,cross_product(w,cross_product(x,y)),z,u,v))),y)*. % 300.16/300.43 71617[0:Res:5308.4,42.0] || closed(u,v) closed(cross_product(w,cross_product(x,y)),z) maps(x1,cross_product(w,cross_product(x,y)),u) -> homomorphism(x1,cross_product(w,cross_product(x,y)),z,u,v) member(first(second(f32(x1,cross_product(w,cross_product(x,y)),z,u,v))),x)*. % 300.16/300.43 71871[0:Res:5307.4,43.0] || closed(u,v) closed(cross_product(cross_product(w,x),y),z) maps(x1,cross_product(cross_product(w,x),y),u) -> homomorphism(x1,cross_product(cross_product(w,x),y),z,u,v) member(second(first(f32(x1,cross_product(cross_product(w,x),y),z,u,v))),x)*. % 300.16/300.43 71870[0:Res:5307.4,42.0] || closed(u,v) closed(cross_product(cross_product(w,x),y),z) maps(x1,cross_product(cross_product(w,x),y),u) -> homomorphism(x1,cross_product(cross_product(w,x),y),z,u,v) member(first(first(f32(x1,cross_product(cross_product(w,x),y),z,u,v))),w)*. % 300.16/300.43 73544[16:Res:55065.2,4280.0] || subset(u,compose(v,non_ordered_pair(w,x))) -> equal(u,a) equal(ordered_pair(f31(f24(u),v,non_ordered_pair(w,x)),f30(f24(u),v,non_ordered_pair(w,x))),x)** equal(ordered_pair(f31(f24(u),v,non_ordered_pair(w,x)),f30(f24(u),v,non_ordered_pair(w,x))),w)**. % 300.16/300.43 73759[16:Res:55065.2,4355.0] || subset(u,compose(non_ordered_pair(v,w),x)) -> equal(u,a) equal(ordered_pair(f29(f24(u),non_ordered_pair(v,w),x),f31(f24(u),non_ordered_pair(v,w),x)),w)** equal(ordered_pair(f29(f24(u),non_ordered_pair(v,w),x),f31(f24(u),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 73949[16:Res:55527.1,6082.4] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,w) member(ordered_pair(f29(w,x,y),u),z) -> equal(singleton_set(ordered_pair(u,f30(w,x,y))),a) member(v,compose(z,singleton_set(ordered_pair(u,f30(w,x,y)))))*. % 300.16/300.43 74082[0:SSi:74048.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),y)* -> member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),union(z,x1))* member(v,compose(y,intersection(complement(z),complement(x1))))*. % 300.16/300.43 74192[0:SSi:74158.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),y)* -> member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),union(z,x1))* member(v,compose(y,intersection(complement(z),complement(x1))))*. % 300.16/300.43 74276[3:SpR:587.0,6225.6] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z) equal(first(w),singleton_set(singleton_set(x1))) -> homomorphism(y,second(w),x,u,v) member(f33(y,second(w),x,u,v),apply_to_two_arguments(z,x1,x1))*. % 300.16/300.43 74275[3:SpR:122.0,6225.6] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z) equal(first(w),ordered_pair(x1,x2)) -> homomorphism(y,second(w),x,u,v) member(f33(y,second(w),x,u,v),apply_to_two_arguments(z,x1,x2))*. % 300.16/300.43 74363[3:SpR:587.0,6226.6] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z) equal(first(w),singleton_set(singleton_set(x1))) -> homomorphism(y,second(w),x,u,v) member(f32(y,second(w),x,u,v),apply_to_two_arguments(z,x1,x1))*. % 300.16/300.43 74362[3:SpR:122.0,6226.6] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z) equal(first(w),ordered_pair(x1,x2)) -> homomorphism(y,second(w),x,u,v) member(f32(y,second(w),x,u,v),apply_to_two_arguments(z,x1,x2))*. % 300.16/300.43 84027[16:Res:5308.4,83606.1] || closed(u,v) closed(cross_product(w,f24(powerset(x))),y) maps(z,cross_product(w,f24(powerset(x))),u) subset(second(f32(z,cross_product(w,f24(powerset(x))),y,u,v)),x)* -> homomorphism(z,cross_product(w,f24(powerset(x))),y,u,v). % 300.16/300.43 84026[16:Res:5263.4,83606.1] || closed(u,v) closed(cross_product(w,f24(powerset(x))),y) maps(z,cross_product(w,f24(powerset(x))),u) subset(second(f33(z,cross_product(w,f24(powerset(x))),y,u,v)),x)* -> homomorphism(z,cross_product(w,f24(powerset(x))),y,u,v). % 300.16/300.43 84020[16:Res:5307.4,83606.1] || closed(u,v) closed(cross_product(f24(powerset(w)),x),y) maps(z,cross_product(f24(powerset(w)),x),u) subset(first(f32(z,cross_product(f24(powerset(w)),x),y,u,v)),w)* -> homomorphism(z,cross_product(f24(powerset(w)),x),y,u,v). % 300.16/300.43 84019[16:Res:5262.4,83606.1] || closed(u,v) closed(cross_product(f24(powerset(w)),x),y) maps(z,cross_product(f24(powerset(w)),x),u) subset(first(f33(z,cross_product(f24(powerset(w)),x),y,u,v)),w)* -> homomorphism(z,cross_product(f24(powerset(w)),x),y,u,v). % 300.16/300.43 84217[2:Res:5308.4,25433.0] || closed(u,v) closed(cross_product(w,image(x,y)),z) maps(x1,cross_product(w,image(x,y)),u) subset(x,second(f32(x1,cross_product(w,image(x,y)),z,u,v)))* -> homomorphism(x1,cross_product(w,image(x,y)),z,u,v). % 300.16/300.43 84216[2:Res:5263.4,25433.0] || closed(u,v) closed(cross_product(w,image(x,y)),z) maps(x1,cross_product(w,image(x,y)),u) subset(x,second(f33(x1,cross_product(w,image(x,y)),z,u,v)))* -> homomorphism(x1,cross_product(w,image(x,y)),z,u,v). % 300.16/300.43 84210[2:Res:5307.4,25433.0] || closed(u,v) closed(cross_product(image(w,x),y),z) maps(x1,cross_product(image(w,x),y),u) subset(w,first(f32(x1,cross_product(image(w,x),y),z,u,v)))* -> homomorphism(x1,cross_product(image(w,x),y),z,u,v). % 300.16/300.43 84209[2:Res:5262.4,25433.0] || closed(u,v) closed(cross_product(image(w,x),y),z) maps(x1,cross_product(image(w,x),y),u) subset(w,first(f33(x1,cross_product(image(w,x),y),z,u,v)))* -> homomorphism(x1,cross_product(image(w,x),y),z,u,v). % 300.16/300.43 88186[3:Res:82671.1,6082.4] little_set(u) little_set(v) || equal(ordered_pair(u,f30(w,x,y)),infinity) member(w,compose(x,y)) equal(v,w) member(ordered_pair(f29(w,x,y),u),z) -> member(v,compose(z,singleton_set(ordered_pair(u,f30(w,x,y)))))*. % 300.16/300.43 89306[0:Res:5315.4,14370.1] || closed(u,v) closed(intersection(w,converse(complement(x))),y) maps(z,intersection(w,converse(complement(x))),u) member(f32(z,intersection(w,converse(complement(x))),y,u,v),converse(x))* -> homomorphism(z,intersection(w,converse(complement(x))),y,u,v). % 300.16/300.43 89305[0:Res:5270.4,14370.1] || closed(u,v) closed(intersection(w,converse(complement(x))),y) maps(z,intersection(w,converse(complement(x))),u) member(f33(z,intersection(w,converse(complement(x))),y,u,v),converse(x))* -> homomorphism(z,intersection(w,converse(complement(x))),y,u,v). % 300.16/300.43 89231[0:Res:5314.4,14370.1] || closed(u,v) closed(intersection(converse(complement(w)),x),y) maps(z,intersection(converse(complement(w)),x),u) member(f32(z,intersection(converse(complement(w)),x),y,u,v),converse(w))* -> homomorphism(z,intersection(converse(complement(w)),x),y,u,v). % 300.16/300.43 89229[0:Res:5269.4,14370.1] || closed(u,v) closed(intersection(converse(complement(w)),x),y) maps(z,intersection(converse(complement(w)),x),u) member(f33(z,intersection(converse(complement(w)),x),y,u,v),converse(w))* -> homomorphism(z,intersection(converse(complement(w)),x),y,u,v). % 300.16/300.43 99730[0:Res:22366.2,6086.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f13(x,y),f14(x,y))),f2(u))* member(x,flip_range_of(y)) equal(w,x)* member(ordered_pair(f12(x,y),v),z)* -> member(w,compose(z,first(u)))*. % 300.16/300.43 99729[0:Res:22366.2,6084.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f10(x,y),f11(x,y))),f2(u))* member(x,rotate_right(y)) equal(w,x)* member(ordered_pair(f9(x,y),v),z)* -> member(w,compose(z,first(u)))*. % 300.16/300.43 99927[0:Res:22612.2,6086.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f13(x,y),f14(x,y))),f3(u))* member(x,flip_range_of(y)) equal(w,x)* member(ordered_pair(f12(x,y),v),z)* -> member(w,compose(z,second(u)))*. % 300.16/300.43 99926[0:Res:22612.2,6084.4] ordered_pair_predicate(u) little_set(v) little_set(w) || member(ordered_pair(v,ordered_pair(f10(x,y),f11(x,y))),f3(u))* member(x,rotate_right(y)) equal(w,x)* member(ordered_pair(f9(x,y),v),z)* -> member(w,compose(z,second(u)))*. % 300.16/300.43 14800[0:Res:142.3,314.0] || closed(u,v) closed(intersection(complement(w),complement(x)),y) maps(z,intersection(complement(w),complement(x)),u) member(f32(z,intersection(complement(w),complement(x)),y,u,v),union(w,x))* -> homomorphism(z,intersection(complement(w),complement(x)),y,u,v). % 300.16/300.43 14799[0:Res:143.3,314.0] || closed(u,v) closed(intersection(complement(w),complement(x)),y) maps(z,intersection(complement(w),complement(x)),u) member(f33(z,intersection(complement(w),complement(x)),y,u,v),union(w,x))* -> homomorphism(z,intersection(complement(w),complement(x)),y,u,v). % 300.16/300.43 24329[0:Res:142.3,1163.0] || closed(u,v) closed(converse(w),x) maps(y,converse(w),u) member(w,z) -> homomorphism(y,converse(w),x,u,v) member(ordered_pair(second(f32(y,converse(w),x,u,v)),first(f32(y,converse(w),x,u,v))),sigma(z))*. % 300.16/300.43 24328[0:Res:143.3,1163.0] || closed(u,v) closed(converse(w),x) maps(y,converse(w),u) member(w,z) -> homomorphism(y,converse(w),x,u,v) member(ordered_pair(second(f33(y,converse(w),x,u,v)),first(f33(y,converse(w),x,u,v))),sigma(z))*. % 300.16/300.43 34316[0:Res:3842.1,1437.0] || -> equal(intersection(u,v),range_of(non_ordered_pair(w,x))) member(f1(intersection(u,v),range_of(non_ordered_pair(w,x))),u)* equal(f27(f1(intersection(u,v),range_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f27(f1(intersection(u,v),range_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34315[0:Res:3843.1,1437.0] || -> equal(intersection(u,v),range_of(non_ordered_pair(w,x))) member(f1(intersection(u,v),range_of(non_ordered_pair(w,x))),v)* equal(f27(f1(intersection(u,v),range_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f27(f1(intersection(u,v),range_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34314[0:Res:3825.2,1437.0] || -> equal(u,intersection(v,range_of(non_ordered_pair(w,x)))) member(f1(u,intersection(v,range_of(non_ordered_pair(w,x)))),u)* equal(f27(f1(u,intersection(v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f27(f1(u,intersection(v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34285[0:Res:3843.2,1437.0] || -> equal(intersection(u,range_of(non_ordered_pair(v,w))),x) member(f1(intersection(u,range_of(non_ordered_pair(v,w))),x),x)* equal(f27(f1(intersection(u,range_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),w)** equal(f27(f1(intersection(u,range_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34284[0:Res:3824.2,1437.0] || -> equal(u,intersection(range_of(non_ordered_pair(v,w)),x)) member(f1(u,intersection(range_of(non_ordered_pair(v,w)),x)),u)* equal(f27(f1(u,intersection(range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f27(f1(u,intersection(range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34252[0:Res:3842.2,1437.0] || -> equal(intersection(range_of(non_ordered_pair(u,v)),w),x) member(f1(intersection(range_of(non_ordered_pair(u,v)),w),x),x)* equal(f27(f1(intersection(range_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),v)** equal(f27(f1(intersection(range_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34246[0:Res:3824.1,1437.0] || -> equal(range_of(non_ordered_pair(u,v)),intersection(w,x)) member(f1(range_of(non_ordered_pair(u,v)),intersection(w,x)),w)* equal(f27(f1(range_of(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),v)** equal(f27(f1(range_of(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34245[0:Res:3825.1,1437.0] || -> equal(range_of(non_ordered_pair(u,v)),intersection(w,x)) member(f1(range_of(non_ordered_pair(u,v)),intersection(w,x)),x)* equal(f27(f1(range_of(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),v)** equal(f27(f1(range_of(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34488[0:Res:3842.1,1438.0] || -> equal(intersection(u,v),sigma(non_ordered_pair(w,x))) member(f1(intersection(u,v),sigma(non_ordered_pair(w,x))),u)* equal(f16(f1(intersection(u,v),sigma(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f16(f1(intersection(u,v),sigma(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34487[0:Res:3843.1,1438.0] || -> equal(intersection(u,v),sigma(non_ordered_pair(w,x))) member(f1(intersection(u,v),sigma(non_ordered_pair(w,x))),v)* equal(f16(f1(intersection(u,v),sigma(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f16(f1(intersection(u,v),sigma(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34486[0:Res:3825.2,1438.0] || -> equal(u,intersection(v,sigma(non_ordered_pair(w,x)))) member(f1(u,intersection(v,sigma(non_ordered_pair(w,x)))),u)* equal(f16(f1(u,intersection(v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f16(f1(u,intersection(v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34457[0:Res:3843.2,1438.0] || -> equal(intersection(u,sigma(non_ordered_pair(v,w))),x) member(f1(intersection(u,sigma(non_ordered_pair(v,w))),x),x)* equal(f16(f1(intersection(u,sigma(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),w)** equal(f16(f1(intersection(u,sigma(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34456[0:Res:3824.2,1438.0] || -> equal(u,intersection(sigma(non_ordered_pair(v,w)),x)) member(f1(u,intersection(sigma(non_ordered_pair(v,w)),x)),u)* equal(f16(f1(u,intersection(sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f16(f1(u,intersection(sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34419[0:Res:3842.2,1438.0] || -> equal(intersection(sigma(non_ordered_pair(u,v)),w),x) member(f1(intersection(sigma(non_ordered_pair(u,v)),w),x),x)* equal(f16(f1(intersection(sigma(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),v)** equal(f16(f1(intersection(sigma(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34413[0:Res:3824.1,1438.0] || -> equal(sigma(non_ordered_pair(u,v)),intersection(w,x)) member(f1(sigma(non_ordered_pair(u,v)),intersection(w,x)),w)* equal(f16(f1(sigma(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),v)** equal(f16(f1(sigma(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34412[0:Res:3825.1,1438.0] || -> equal(sigma(non_ordered_pair(u,v)),intersection(w,x)) member(f1(sigma(non_ordered_pair(u,v)),intersection(w,x)),x)* equal(f16(f1(sigma(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),v)** equal(f16(f1(sigma(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34653[0:Res:3842.1,1439.0] || -> equal(intersection(u,v),domain_of(non_ordered_pair(w,x))) member(f1(intersection(u,v),domain_of(non_ordered_pair(w,x))),u)* equal(f8(f1(intersection(u,v),domain_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f8(f1(intersection(u,v),domain_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34652[0:Res:3843.1,1439.0] || -> equal(intersection(u,v),domain_of(non_ordered_pair(w,x))) member(f1(intersection(u,v),domain_of(non_ordered_pair(w,x))),v)* equal(f8(f1(intersection(u,v),domain_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f8(f1(intersection(u,v),domain_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34651[0:Res:3825.2,1439.0] || -> equal(u,intersection(v,domain_of(non_ordered_pair(w,x)))) member(f1(u,intersection(v,domain_of(non_ordered_pair(w,x)))),u)* equal(f8(f1(u,intersection(v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f8(f1(u,intersection(v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34622[0:Res:3843.2,1439.0] || -> equal(intersection(u,domain_of(non_ordered_pair(v,w))),x) member(f1(intersection(u,domain_of(non_ordered_pair(v,w))),x),x)* equal(f8(f1(intersection(u,domain_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),w)** equal(f8(f1(intersection(u,domain_of(non_ordered_pair(v,w))),x),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34621[0:Res:3824.2,1439.0] || -> equal(u,intersection(domain_of(non_ordered_pair(v,w)),x)) member(f1(u,intersection(domain_of(non_ordered_pair(v,w)),x)),u)* equal(f8(f1(u,intersection(domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f8(f1(u,intersection(domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34589[0:Res:3842.2,1439.0] || -> equal(intersection(domain_of(non_ordered_pair(u,v)),w),x) member(f1(intersection(domain_of(non_ordered_pair(u,v)),w),x),x)* equal(f8(f1(intersection(domain_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),v)** equal(f8(f1(intersection(domain_of(non_ordered_pair(u,v)),w),x),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34583[0:Res:3824.1,1439.0] || -> equal(domain_of(non_ordered_pair(u,v)),intersection(w,x)) member(f1(domain_of(non_ordered_pair(u,v)),intersection(w,x)),w)* equal(f8(f1(domain_of(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),v)** equal(f8(f1(domain_of(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34582[0:Res:3825.1,1439.0] || -> equal(domain_of(non_ordered_pair(u,v)),intersection(w,x)) member(f1(domain_of(non_ordered_pair(u,v)),intersection(w,x)),x)* equal(f8(f1(domain_of(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),v)** equal(f8(f1(domain_of(non_ordered_pair(u,v)),intersection(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 36611[0:Res:4622.2,1438.0] || member(u,flip_range_of(v)) subset(v,sigma(non_ordered_pair(w,x))) -> equal(f16(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x)),x)** equal(f16(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 36578[0:Res:4622.2,1437.0] || member(u,flip_range_of(v)) subset(v,range_of(non_ordered_pair(w,x))) -> equal(f27(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x)),x)** equal(f27(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 36574[0:Res:4622.2,1439.0] || member(u,flip_range_of(v)) subset(v,domain_of(non_ordered_pair(w,x))) -> equal(f8(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x)),x)** equal(f8(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 37039[0:Res:4770.2,1438.0] || member(u,rotate_right(v)) subset(v,sigma(non_ordered_pair(w,x))) -> equal(f16(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x)),x)** equal(f16(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 37006[0:Res:4770.2,1437.0] || member(u,rotate_right(v)) subset(v,range_of(non_ordered_pair(w,x))) -> equal(f27(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x)),x)** equal(f27(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 37002[0:Res:4770.2,1439.0] || member(u,rotate_right(v)) subset(v,domain_of(non_ordered_pair(w,x))) -> equal(f8(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x)),x)** equal(f8(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 38666[3:Res:6210.3,3811.0] || member(u,v) equal(first(u),w) -> single_valued_set(second(u)) equal(x,ordered_pair(f19(second(u)),f20(second(u)))) member(f1(x,ordered_pair(f19(second(u)),f20(second(u)))),x)* member(f1(x,ordered_pair(f19(second(u)),f20(second(u)))),sigma(apply(v,w)))*. % 300.16/300.43 38665[3:Res:6210.3,3829.0] || member(u,v) equal(first(u),w) -> single_valued_set(second(u)) equal(ordered_pair(f19(second(u)),f20(second(u))),x) member(f1(ordered_pair(f19(second(u)),f20(second(u))),x),x)* member(f1(ordered_pair(f19(second(u)),f20(second(u))),x),sigma(apply(v,w)))*. % 300.16/300.43 38736[3:Res:6211.3,3811.0] || member(u,v) equal(first(u),w) -> single_valued_set(second(u)) equal(x,ordered_pair(f19(second(u)),f21(second(u)))) member(f1(x,ordered_pair(f19(second(u)),f21(second(u)))),x)* member(f1(x,ordered_pair(f19(second(u)),f21(second(u)))),sigma(apply(v,w)))*. % 300.16/300.43 38735[3:Res:6211.3,3829.0] || member(u,v) equal(first(u),w) -> single_valued_set(second(u)) equal(ordered_pair(f19(second(u)),f21(second(u))),x) member(f1(ordered_pair(f19(second(u)),f21(second(u))),x),x)* member(f1(ordered_pair(f19(second(u)),f21(second(u))),x),sigma(apply(v,w)))*. % 300.16/300.43 38849[0:Res:4110.2,4457.3] ordered_pair_predicate(cross_product(u,v)) ordered_pair_predicate(w) || member(ordered_pair(second(cross_product(u,v)),first(cross_product(u,v))),second(x)) member(second(w),v) member(first(w),u) -> member(w,sigma(converse(f7(ordered_pair(second(cross_product(u,v)),first(cross_product(u,v))),x))))*. % 300.16/300.43 38848[0:Res:4111.2,4457.3] ordered_pair_predicate(cross_product(u,v)) ordered_pair_predicate(w) || member(ordered_pair(second(cross_product(u,v)),first(cross_product(u,v))),first(x)) member(second(w),v) member(first(w),u) -> member(w,sigma(converse(f4(ordered_pair(second(cross_product(u,v)),first(cross_product(u,v))),x))))*. % 300.16/300.43 38847[0:Res:4112.2,4457.3] ordered_pair_predicate(cross_product(u,v)) ordered_pair_predicate(w) || member(ordered_pair(second(cross_product(u,v)),first(cross_product(u,v))),sigma(x)) member(second(w),v) member(first(w),u) -> member(w,sigma(converse(f16(ordered_pair(second(cross_product(u,v)),first(cross_product(u,v))),x))))*. % 300.16/300.43 40705[0:Res:1468.2,3811.0] || member(u,image(v,w)) member(f22(u,v,w),converse(x)) -> equal(y,ordered_pair(u,first(f22(u,v,w)))) member(f1(y,ordered_pair(u,first(f22(u,v,w)))),y)* member(f1(y,ordered_pair(u,first(f22(u,v,w)))),sigma(x))*. % 300.16/300.43 40704[0:Res:1468.2,3829.0] || member(u,image(v,w)) member(f22(u,v,w),converse(x)) -> equal(ordered_pair(u,first(f22(u,v,w))),y) member(f1(ordered_pair(u,first(f22(u,v,w))),y),y)* member(f1(ordered_pair(u,first(f22(u,v,w))),y),sigma(x))*. % 300.16/300.43 40851[0:Res:1464.2,3811.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(x)) -> equal(y,ordered_pair(second(f28(u,v,w)),w)) member(f1(y,ordered_pair(second(f28(u,v,w)),w)),y)* member(f1(y,ordered_pair(second(f28(u,v,w)),w)),sigma(x))*. % 300.16/300.43 40850[0:Res:1464.2,3829.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(x)) -> equal(ordered_pair(second(f28(u,v,w)),w),y) member(f1(ordered_pair(second(f28(u,v,w)),w),y),y)* member(f1(ordered_pair(second(f28(u,v,w)),w),y),sigma(x))*. % 300.16/300.43 42091[3:Res:1464.2,6212.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(converse(second(x))))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),apply(y,z))*. % 300.16/300.43 42090[3:Res:1468.2,6212.0] || member(u,image(v,w)) member(f22(u,v,w),converse(converse(second(x))))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),apply(y,z))*. % 300.16/300.43 42089[3:Res:4348.2,6212.0] || member(u,compose(v,w)) subset(v,converse(second(x)))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(second(ordered_pair(f29(u,v,w),f31(u,v,w))),first(ordered_pair(f29(u,v,w),f31(u,v,w)))),apply(y,z))*. % 300.16/300.43 42087[3:Res:4273.2,6212.0] || member(u,compose(v,w)) subset(w,converse(second(x)))* member(x,y)* equal(first(x),z)* -> member(ordered_pair(second(ordered_pair(f31(u,v,w),f30(u,v,w))),first(ordered_pair(f31(u,v,w),f30(u,v,w)))),apply(y,z))*. % 300.16/300.43 42079[3:Res:1549.1,6212.0] || member(u,image(cross_product(converse(second(v)),w),x)) member(v,y) equal(first(v),z) -> member(ordered_pair(second(first(first(f22(u,cross_product(converse(second(v)),w),x)))),first(first(first(f22(u,cross_product(converse(second(v)),w),x))))),apply(y,z))*. % 300.16/300.43 42044[3:Res:3842.1,6212.0] || member(u,v) equal(first(u),w) -> equal(intersection(x,y),converse(second(u))) member(f1(intersection(x,y),converse(second(u))),x) member(ordered_pair(second(f1(intersection(x,y),converse(second(u)))),first(f1(intersection(x,y),converse(second(u))))),apply(v,w))*. % 300.16/300.43 42043[3:Res:3843.1,6212.0] || member(u,v) equal(first(u),w) -> equal(intersection(x,y),converse(second(u))) member(f1(intersection(x,y),converse(second(u))),y) member(ordered_pair(second(f1(intersection(x,y),converse(second(u)))),first(f1(intersection(x,y),converse(second(u))))),apply(v,w))*. % 300.16/300.43 42042[3:Res:3825.2,6212.0] || member(u,v) equal(first(u),w) -> equal(x,intersection(y,converse(second(u)))) member(f1(x,intersection(y,converse(second(u)))),x) member(ordered_pair(second(f1(x,intersection(y,converse(second(u))))),first(f1(x,intersection(y,converse(second(u)))))),apply(v,w))*. % 300.16/300.43 42028[3:Res:1550.1,6212.0] || member(u,image(cross_product(v,converse(second(w))),x)) member(w,y) equal(first(w),z) -> member(ordered_pair(second(second(first(f22(u,cross_product(v,converse(second(w))),x)))),first(second(first(f22(u,cross_product(v,converse(second(w))),x))))),apply(y,z))*. % 300.16/300.43 42013[3:Res:3843.2,6212.0] || member(u,v) equal(first(u),w) -> equal(intersection(x,converse(second(u))),y) member(f1(intersection(x,converse(second(u))),y),y) member(ordered_pair(second(f1(intersection(x,converse(second(u))),y)),first(f1(intersection(x,converse(second(u))),y))),apply(v,w))*. % 300.16/300.43 42012[3:Res:3824.2,6212.0] || member(u,v) equal(first(u),w) -> equal(x,intersection(converse(second(u)),y)) member(f1(x,intersection(converse(second(u)),y)),x) member(ordered_pair(second(f1(x,intersection(converse(second(u)),y))),first(f1(x,intersection(converse(second(u)),y)))),apply(v,w))*. % 300.16/300.43 41979[3:Res:3842.2,6212.0] || member(u,v) equal(first(u),w) -> equal(intersection(converse(second(u)),x),y) member(f1(intersection(converse(second(u)),x),y),y) member(ordered_pair(second(f1(intersection(converse(second(u)),x),y)),first(f1(intersection(converse(second(u)),x),y))),apply(v,w))*. % 300.16/300.43 41973[3:Res:3824.1,6212.0] || member(u,v) equal(first(u),w) -> equal(converse(second(u)),intersection(x,y)) member(f1(converse(second(u)),intersection(x,y)),x) member(ordered_pair(second(f1(converse(second(u)),intersection(x,y))),first(f1(converse(second(u)),intersection(x,y)))),apply(v,w))*. % 300.16/300.43 41972[3:Res:3825.1,6212.0] || member(u,v) equal(first(u),w) -> equal(converse(second(u)),intersection(x,y)) member(f1(converse(second(u)),intersection(x,y)),y) member(ordered_pair(second(f1(converse(second(u)),intersection(x,y))),first(f1(converse(second(u)),intersection(x,y)))),apply(v,w))*. % 300.16/300.43 42988[0:Res:1464.2,1442.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(apply(non_ordered_pair(x,y),z))) -> equal(f28(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y),z),y)** equal(f28(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y),z),x)**. % 300.16/300.43 42987[0:Res:1468.2,1442.0] || member(u,image(v,w)) member(f22(u,v,w),converse(apply(non_ordered_pair(x,y),z))) -> equal(f28(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y),z),y)** equal(f28(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y),z),x)**. % 300.16/300.43 42986[0:Res:4348.2,1442.0] || member(u,compose(v,w)) subset(v,apply(non_ordered_pair(x,y),z)) -> equal(f28(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y),z),y)** equal(f28(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y),z),x)**. % 300.16/300.43 42984[0:Res:4273.2,1442.0] || member(u,compose(v,w)) subset(w,apply(non_ordered_pair(x,y),z)) -> equal(f28(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y),z),y)** equal(f28(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y),z),x)**. % 300.16/300.43 42980[0:Res:1351.1,1442.0] || member(u,image(v,intersection(w,apply(non_ordered_pair(x,y),z)))) -> equal(f28(f22(u,v,intersection(w,apply(non_ordered_pair(x,y),z))),non_ordered_pair(x,y),z),y)** equal(f28(f22(u,v,intersection(w,apply(non_ordered_pair(x,y),z))),non_ordered_pair(x,y),z),x)**. % 300.16/300.43 42935[0:Res:1286.1,1442.0] || member(u,apply(intersection(v,apply(non_ordered_pair(w,x),y)),z)) -> equal(f28(f28(u,intersection(v,apply(non_ordered_pair(w,x),y)),z),non_ordered_pair(w,x),y),x)** equal(f28(f28(u,intersection(v,apply(non_ordered_pair(w,x),y)),z),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42925[0:Res:1350.1,1442.0] || member(u,image(v,intersection(apply(non_ordered_pair(w,x),y),z))) -> equal(f28(f22(u,v,intersection(apply(non_ordered_pair(w,x),y),z)),non_ordered_pair(w,x),y),x)** equal(f28(f22(u,v,intersection(apply(non_ordered_pair(w,x),y),z)),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42902[0:Res:1285.1,1442.0] || member(u,apply(intersection(apply(non_ordered_pair(v,w),x),y),z)) -> equal(f28(f28(u,intersection(apply(non_ordered_pair(v,w),x),y),z),non_ordered_pair(v,w),x),w)** equal(f28(f28(u,intersection(apply(non_ordered_pair(v,w),x),y),z),non_ordered_pair(v,w),x),v)**. % 300.16/300.43 42860[0:Res:86.1,1442.0] || -> single_valued_set(apply(non_ordered_pair(u,v),w)) equal(f28(ordered_pair(f19(apply(non_ordered_pair(u,v),w)),f20(apply(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w),v)** equal(f28(ordered_pair(f19(apply(non_ordered_pair(u,v),w)),f20(apply(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w),u)**. % 300.16/300.43 42859[0:Res:87.1,1442.0] || -> single_valued_set(apply(non_ordered_pair(u,v),w)) equal(f28(ordered_pair(f19(apply(non_ordered_pair(u,v),w)),f21(apply(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w),v)** equal(f28(ordered_pair(f19(apply(non_ordered_pair(u,v),w)),f21(apply(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w),u)**. % 300.16/300.43 43165[0:Res:1464.2,1443.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(image(x,non_ordered_pair(y,z)))) -> equal(f22(ordered_pair(second(f28(u,v,w)),w),x,non_ordered_pair(y,z)),z)** equal(f22(ordered_pair(second(f28(u,v,w)),w),x,non_ordered_pair(y,z)),y)**. % 300.16/300.43 43164[0:Res:1468.2,1443.0] || member(u,image(v,w)) member(f22(u,v,w),converse(image(x,non_ordered_pair(y,z)))) -> equal(f22(ordered_pair(u,first(f22(u,v,w))),x,non_ordered_pair(y,z)),z)** equal(f22(ordered_pair(u,first(f22(u,v,w))),x,non_ordered_pair(y,z)),y)**. % 300.16/300.43 43163[0:Res:4348.2,1443.0] || member(u,compose(v,w)) subset(v,image(x,non_ordered_pair(y,z))) -> equal(f22(ordered_pair(f29(u,v,w),f31(u,v,w)),x,non_ordered_pair(y,z)),z)** equal(f22(ordered_pair(f29(u,v,w),f31(u,v,w)),x,non_ordered_pair(y,z)),y)**. % 300.16/300.43 43161[0:Res:4273.2,1443.0] || member(u,compose(v,w)) subset(w,image(x,non_ordered_pair(y,z))) -> equal(f22(ordered_pair(f31(u,v,w),f30(u,v,w)),x,non_ordered_pair(y,z)),z)** equal(f22(ordered_pair(f31(u,v,w),f30(u,v,w)),x,non_ordered_pair(y,z)),y)**. % 300.16/300.43 43157[0:Res:1351.1,1443.0] || member(u,image(v,intersection(w,image(x,non_ordered_pair(y,z))))) -> equal(f22(f22(u,v,intersection(w,image(x,non_ordered_pair(y,z)))),x,non_ordered_pair(y,z)),z)** equal(f22(f22(u,v,intersection(w,image(x,non_ordered_pair(y,z)))),x,non_ordered_pair(y,z)),y)**. % 300.16/300.43 43112[0:Res:1286.1,1443.0] || member(u,apply(intersection(v,image(w,non_ordered_pair(x,y))),z)) -> equal(f22(f28(u,intersection(v,image(w,non_ordered_pair(x,y))),z),w,non_ordered_pair(x,y)),y)** equal(f22(f28(u,intersection(v,image(w,non_ordered_pair(x,y))),z),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43102[0:Res:1350.1,1443.0] || member(u,image(v,intersection(image(w,non_ordered_pair(x,y)),z))) -> equal(f22(f22(u,v,intersection(image(w,non_ordered_pair(x,y)),z)),w,non_ordered_pair(x,y)),y)** equal(f22(f22(u,v,intersection(image(w,non_ordered_pair(x,y)),z)),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43079[0:Res:1285.1,1443.0] || member(u,apply(intersection(image(v,non_ordered_pair(w,x)),y),z)) -> equal(f22(f28(u,intersection(image(v,non_ordered_pair(w,x)),y),z),v,non_ordered_pair(w,x)),x)** equal(f22(f28(u,intersection(image(v,non_ordered_pair(w,x)),y),z),v,non_ordered_pair(w,x)),w)**. % 300.16/300.43 43037[0:Res:86.1,1443.0] || -> single_valued_set(image(u,non_ordered_pair(v,w))) equal(f22(ordered_pair(f19(image(u,non_ordered_pair(v,w))),f20(image(u,non_ordered_pair(v,w)))),u,non_ordered_pair(v,w)),w)** equal(f22(ordered_pair(f19(image(u,non_ordered_pair(v,w))),f20(image(u,non_ordered_pair(v,w)))),u,non_ordered_pair(v,w)),v)**. % 300.16/300.43 43036[0:Res:87.1,1443.0] || -> single_valued_set(image(u,non_ordered_pair(v,w))) equal(f22(ordered_pair(f19(image(u,non_ordered_pair(v,w))),f21(image(u,non_ordered_pair(v,w)))),u,non_ordered_pair(v,w)),w)** equal(f22(ordered_pair(f19(image(u,non_ordered_pair(v,w))),f21(image(u,non_ordered_pair(v,w)))),u,non_ordered_pair(v,w)),v)**. % 300.16/300.43 43575[0:Rew:122.0,43557.4] little_set(u) little_set(v) little_set(second(f28(w,x,ordered_pair(v,u)))) || member(ordered_pair(v,ordered_pair(u,second(f28(w,x,ordered_pair(v,u))))),y)* member(w,apply_to_two_arguments(x,v,u)) -> member(f28(w,x,ordered_pair(v,u)),converse(rotate_right(y))). % 300.16/300.43 43742[0:Rew:122.0,43722.4] little_set(u) little_set(v) little_set(second(f28(w,x,ordered_pair(v,u)))) || member(ordered_pair(second(f28(w,x,ordered_pair(v,u))),ordered_pair(u,v)),y)* member(w,apply_to_two_arguments(x,v,u)) -> member(f28(w,x,ordered_pair(v,u)),converse(flip_range_of(y))). % 300.16/300.43 47235[0:Res:6.1,1558.0] || -> equal(u,image(non_ordered_pair(v,w),x)) member(f1(u,image(non_ordered_pair(v,w),x)),u)* equal(first(f22(f1(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f1(u,image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47194[0:Res:6.2,1558.0] || -> equal(image(non_ordered_pair(u,v),w),x) member(f1(image(non_ordered_pair(u,v),w),x),x)* equal(first(f22(f1(image(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(image(non_ordered_pair(u,v),w),x),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 47413[0:Res:3837.1,1421.0] || -> equal(non_ordered_pair(u,v),ordered_pair(w,x)) equal(f1(non_ordered_pair(u,v),ordered_pair(w,x)),v)** equal(f1(non_ordered_pair(u,v),ordered_pair(w,x)),u)** equal(f1(non_ordered_pair(u,v),ordered_pair(w,x)),non_ordered_pair(w,x))** equal(f1(non_ordered_pair(u,v),ordered_pair(w,x)),singleton_set(w)). % 300.16/300.43 47858[0:Res:3819.1,1421.0] || -> equal(ordered_pair(u,v),non_ordered_pair(w,x)) equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),x)** equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),w)** equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),non_ordered_pair(u,v))** equal(f1(ordered_pair(u,v),non_ordered_pair(w,x)),singleton_set(u)). % 300.16/300.43 58813[16:Rew:54986.0,51314.0] || -> equal(intersection(u,converse(non_ordered_pair(v,w))),a) equal(ordered_pair(second(f24(intersection(u,converse(non_ordered_pair(v,w))))),first(f24(intersection(u,converse(non_ordered_pair(v,w)))))),w)** equal(ordered_pair(second(f24(intersection(u,converse(non_ordered_pair(v,w))))),first(f24(intersection(u,converse(non_ordered_pair(v,w)))))),v)**. % 300.16/300.43 58814[16:Rew:54986.0,51315.0] || -> equal(intersection(converse(non_ordered_pair(u,v)),w),a) equal(ordered_pair(second(f24(intersection(converse(non_ordered_pair(u,v)),w))),first(f24(intersection(converse(non_ordered_pair(u,v)),w)))),v)** equal(ordered_pair(second(f24(intersection(converse(non_ordered_pair(u,v)),w))),first(f24(intersection(converse(non_ordered_pair(u,v)),w)))),u)**. % 300.16/300.43 64282[0:Res:4628.1,314.0] || member(u,flip_range_of(cross_product(v,intersection(complement(w),complement(x))))) member(second(ordered_pair(f12(u,cross_product(v,intersection(complement(w),complement(x)))),ordered_pair(f14(u,cross_product(v,intersection(complement(w),complement(x)))),f13(u,cross_product(v,intersection(complement(w),complement(x))))))),union(w,x))* -> . % 300.16/300.43 64389[0:Res:4627.1,314.0] || member(u,flip_range_of(cross_product(intersection(complement(v),complement(w)),x))) member(first(ordered_pair(f12(u,cross_product(intersection(complement(v),complement(w)),x)),ordered_pair(f14(u,cross_product(intersection(complement(v),complement(w)),x)),f13(u,cross_product(intersection(complement(v),complement(w)),x))))),union(v,w))* -> . % 300.16/300.43 64538[0:Res:4776.1,314.0] || member(u,rotate_right(cross_product(v,intersection(complement(w),complement(x))))) member(second(ordered_pair(f10(u,cross_product(v,intersection(complement(w),complement(x)))),ordered_pair(f11(u,cross_product(v,intersection(complement(w),complement(x)))),f9(u,cross_product(v,intersection(complement(w),complement(x))))))),union(w,x))* -> . % 300.16/300.43 64648[0:Res:4775.1,314.0] || member(u,rotate_right(cross_product(intersection(complement(v),complement(w)),x))) member(first(ordered_pair(f10(u,cross_product(intersection(complement(v),complement(w)),x)),ordered_pair(f11(u,cross_product(intersection(complement(v),complement(w)),x)),f9(u,cross_product(intersection(complement(v),complement(w)),x))))),union(v,w))* -> . % 300.16/300.43 65345[0:Res:33.2,5227.3] little_set(u) single_valued_set(intersection(v,w)) || member(ordered_pair(f31(x,y,intersection(v,w)),u),w)* member(ordered_pair(f31(x,y,intersection(v,w)),u),v)* member(x,compose(y,intersection(v,w))) -> equal(u,f30(x,y,intersection(v,w))). % 300.16/300.43 65560[0:Res:33.2,5228.3] little_set(u) single_valued_set(intersection(v,w)) || member(ordered_pair(f29(x,intersection(v,w),y),u),w)* member(ordered_pair(f29(x,intersection(v,w),y),u),v)* member(x,compose(intersection(v,w),y)) -> equal(u,f31(x,intersection(v,w),y)). % 300.16/300.43 65866[0:Res:1008.2,5225.4] little_set(first(f27(f4(u,v),w))) single_valued_set(x) || member(f4(u,v),range_of(w)) member(f27(f4(u,v),w),converse(x))* member(u,first(v)) member(v,x) -> equal(first(f27(f4(u,v),w)),f5(u,v)). % 300.16/300.43 65857[0:Res:120.1,5225.4] little_set(u) single_valued_set(second(f28(ordered_pair(f4(v,w),u),x,y))) || member(ordered_pair(f4(v,w),u),apply(x,y)) member(v,first(w)) member(w,second(f28(ordered_pair(f4(v,w),u),x,y)))* -> equal(u,f5(v,w)). % 300.16/300.43 65987[0:Res:1008.2,5226.4] little_set(first(f27(f6(u,v),w))) single_valued_set(x) || member(f6(u,v),range_of(w)) member(f27(f6(u,v),w),converse(x))* member(u,second(v)) member(v,x) -> equal(first(f27(f6(u,v),w)),f7(u,v)). % 300.16/300.43 65978[0:Res:120.1,5226.4] little_set(u) single_valued_set(second(f28(ordered_pair(f6(v,w),u),x,y))) || member(ordered_pair(f6(v,w),u),apply(x,y)) member(v,second(w)) member(w,second(f28(ordered_pair(f6(v,w),u),x,y)))* -> equal(u,f7(v,w)). % 300.16/300.43 66085[0:Res:1008.2,5230.3] little_set(first(f27(f10(u,v),w))) single_valued_set(v) || member(f10(u,v),range_of(w)) member(f27(f10(u,v),w),converse(v))* member(u,rotate_right(v)) -> equal(first(f27(f10(u,v),w)),ordered_pair(f11(u,v),f9(u,v)))*. % 300.16/300.43 66181[0:Res:1008.2,5232.3] little_set(first(f27(f12(u,v),w))) single_valued_set(v) || member(f12(u,v),range_of(w)) member(f27(f12(u,v),w),converse(v))* member(u,flip_range_of(v)) -> equal(first(f27(f12(u,v),w)),ordered_pair(f14(u,v),f13(u,v)))*. % 300.16/300.43 66420[0:SSi:66284.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(second(ordered_pair(u,v)),first(ordered_pair(u,v))),second(x)) member(ordered_pair(w,u),y) -> member(ordered_pair(w,v),compose(y,converse(f7(ordered_pair(second(ordered_pair(u,v)),first(ordered_pair(u,v))),x))))*. % 300.16/300.43 66421[0:SSi:66283.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(second(ordered_pair(u,v)),first(ordered_pair(u,v))),first(x)) member(ordered_pair(w,u),y) -> member(ordered_pair(w,v),compose(y,converse(f4(ordered_pair(second(ordered_pair(u,v)),first(ordered_pair(u,v))),x))))*. % 300.16/300.43 66422[0:SSi:66282.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(second(ordered_pair(u,v)),first(ordered_pair(u,v))),sigma(x)) member(ordered_pair(w,u),y) -> member(ordered_pair(w,v),compose(y,converse(f16(ordered_pair(second(ordered_pair(u,v)),first(ordered_pair(u,v))),x))))*. % 300.16/300.43 67019[0:MRR:67000.0,5.0] || member(f1(u,intersection(v,intersection(complement(w),complement(x)))),v)* member(f1(u,intersection(v,intersection(complement(w),complement(x)))),u)* -> member(f1(u,intersection(v,intersection(complement(w),complement(x)))),union(w,x))* equal(u,intersection(v,intersection(complement(w),complement(x)))). % 300.16/300.43 67194[0:Res:33.2,5361.3] little_set(u) || member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x)* member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),y)* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(intersection(y,x)))*. % 300.16/300.43 67193[0:Res:120.1,5361.3] little_set(u) || member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),apply(x,y)) member(v,rotate_right(w)) equal(u,v) -> member(u,rotate_right(second(f28(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),x,y))))*. % 300.16/300.43 67281[0:Res:33.2,5362.3] little_set(u) || member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x)* member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),y)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(intersection(y,x)))*. % 300.16/300.43 67280[0:Res:120.1,5362.3] little_set(u) || member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),apply(x,y)) member(v,flip_range_of(w)) equal(u,v) -> member(u,rotate_right(second(f28(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),x,y))))*. % 300.16/300.43 67346[0:Res:33.2,6056.3] little_set(u) || member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x)* member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),y)* member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(intersection(y,x)))*. % 300.16/300.43 67345[0:Res:120.1,6056.3] little_set(u) || member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),apply(x,y)) member(v,rotate_right(w)) equal(u,v) -> member(u,flip_range_of(second(f28(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),x,y))))*. % 300.16/300.43 67406[0:Res:33.2,6057.3] little_set(u) || member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x)* member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),y)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(intersection(y,x)))*. % 300.16/300.43 67405[0:Res:120.1,6057.3] little_set(u) || member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),apply(x,y)) member(v,flip_range_of(w)) equal(u,v) -> member(u,flip_range_of(second(f28(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),x,y))))*. % 300.16/300.43 67866[0:Res:67.1,5233.4] little_set(u) single_valued_set(f16(ordered_pair(f29(v,w,x),u),y)) || member(ordered_pair(f29(v,w,x),u),sigma(y)) member(v,compose(w,x)) member(v,f16(ordered_pair(f29(v,w,x),u),y))* -> equal(u,f30(v,w,x)). % 300.16/300.43 67865[0:Res:21.1,5233.4] little_set(u) single_valued_set(f4(ordered_pair(f29(v,w,x),u),y)) || member(ordered_pair(f29(v,w,x),u),first(y)) member(v,compose(w,x)) member(v,f4(ordered_pair(f29(v,w,x),u),y))* -> equal(u,f30(v,w,x)). % 300.16/300.43 67864[0:Res:26.1,5233.4] little_set(u) single_valued_set(f7(ordered_pair(f29(v,w,x),u),y)) || member(ordered_pair(f29(v,w,x),u),second(y)) member(v,compose(w,x)) member(v,f7(ordered_pair(f29(v,w,x),u),y))* -> equal(u,f30(v,w,x)). % 300.16/300.43 67863[0:Res:3651.2,5233.4] little_set(u) single_valued_set(restrict(v,w)) || member(ordered_pair(f29(x,y,z),u),cross_product(w,universal_set))* member(ordered_pair(f29(x,y,z),u),v)* member(x,compose(y,z)) member(x,restrict(v,w))* -> equal(u,f30(x,y,z)). % 300.16/300.43 67913[3:SSi:67845.0,5742.0,371.1] little_set(u) single_valued_set(cross_product(v,w)) || member(second(ordered_pair(f29(x,y,z),u)),w)* member(first(ordered_pair(f29(x,y,z),u)),v)* member(x,compose(y,z)) member(x,cross_product(v,w))* -> equal(u,f30(x,y,z)). % 300.16/300.43 67914[0:MRR:67882.0,1545.1] single_valued_set(u) || member(f29(v,w,x),image(y,z)) member(f22(f29(v,w,x),y,z),converse(u))* member(v,compose(w,x)) member(v,u) -> equal(first(f22(f29(v,w,x),y,z)),f30(v,w,x)). % 300.16/300.43 68103[0:Res:5257.5,1163.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(z))* member(z,x1)* -> homomorphism(y,w,x,u,v) member(ordered_pair(second(f33(y,w,x,u,v)),first(f33(y,w,x,u,v))),sigma(x1))*. % 300.16/300.43 68206[0:Res:5302.5,1163.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(z))* member(z,x1)* -> homomorphism(y,w,x,u,v) member(ordered_pair(second(f32(y,w,x,u,v)),first(f32(y,w,x,u,v))),sigma(x1))*. % 300.16/300.43 68398[0:Res:3651.2,5236.4] little_set(u) single_valued_set(restrict(v,w)) || member(ordered_pair(f9(x,y),u),cross_product(w,universal_set))* member(ordered_pair(f9(x,y),u),v)* member(x,rotate_right(y)) member(x,restrict(v,w))* -> equal(u,ordered_pair(f10(x,y),f11(x,y)))*. % 300.16/300.43 68431[3:SSi:68380.0,5742.0,371.1] little_set(u) single_valued_set(cross_product(v,w)) || member(second(ordered_pair(f9(x,y),u)),w)* member(first(ordered_pair(f9(x,y),u)),v)* member(x,rotate_right(y)) member(x,cross_product(v,w))* -> equal(u,ordered_pair(f10(x,y),f11(x,y)))*. % 300.16/300.43 68648[0:Res:3651.2,5238.4] little_set(u) single_valued_set(restrict(v,w)) || member(ordered_pair(f12(x,y),u),cross_product(w,universal_set))* member(ordered_pair(f12(x,y),u),v)* member(x,flip_range_of(y)) member(x,restrict(v,w))* -> equal(u,ordered_pair(f13(x,y),f14(x,y)))*. % 300.16/300.43 68691[3:SSi:68630.0,5742.0,371.1] little_set(u) single_valued_set(cross_product(v,w)) || member(second(ordered_pair(f12(x,y),u)),w)* member(first(ordered_pair(f12(x,y),u)),v)* member(x,flip_range_of(y)) member(x,cross_product(v,w))* -> equal(u,ordered_pair(f13(x,y),f14(x,y)))*. % 300.16/300.43 70532[0:Res:5270.4,4238.0] || closed(u,v) closed(intersection(w,compose(x,y)),z) maps(x1,intersection(w,compose(x,y)),u) equal(x2,f33(x1,intersection(w,compose(x,y)),z,u,v))* -> homomorphism(x1,intersection(w,compose(x,y)),z,u,v) ordered_pair_predicate(x2)*. % 300.16/300.43 70628[0:Res:5269.4,4238.0] || closed(u,v) closed(intersection(compose(w,x),y),z) maps(x1,intersection(compose(w,x),y),u) equal(x2,f33(x1,intersection(compose(w,x),y),z,u,v))* -> homomorphism(x1,intersection(compose(w,x),y),z,u,v) ordered_pair_predicate(x2)*. % 300.16/300.43 70752[0:Res:5315.4,4238.0] || closed(u,v) closed(intersection(w,compose(x,y)),z) maps(x1,intersection(w,compose(x,y)),u) equal(x2,f32(x1,intersection(w,compose(x,y)),z,u,v))* -> homomorphism(x1,intersection(w,compose(x,y)),z,u,v) ordered_pair_predicate(x2)*. % 300.16/300.43 70832[0:Res:5314.4,4238.0] || closed(u,v) closed(intersection(compose(w,x),y),z) maps(x1,intersection(compose(w,x),y),u) equal(x2,f32(x1,intersection(compose(w,x),y),z,u,v))* -> homomorphism(x1,intersection(compose(w,x),y),z,u,v) ordered_pair_predicate(x2)*. % 300.16/300.43 70986[0:Res:33.2,6080.4] little_set(u) little_set(v) || member(ordered_pair(u,f5(w,x)),y)* member(ordered_pair(u,f5(w,x)),z)* member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),x1)* -> member(v,compose(x1,intersection(z,y)))*. % 300.16/300.43 70985[0:Res:120.1,6080.4] little_set(u) little_set(v) || member(ordered_pair(u,f5(w,x)),apply(y,z)) member(w,first(x)) equal(v,x) member(ordered_pair(f4(w,x),u),x1) -> member(v,compose(x1,second(f28(ordered_pair(u,f5(w,x)),y,z))))*. % 300.16/300.43 71057[0:Res:33.2,6081.4] little_set(u) little_set(v) || member(ordered_pair(u,f7(w,x)),y)* member(ordered_pair(u,f7(w,x)),z)* member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),x1)* -> member(v,compose(x1,intersection(z,y)))*. % 300.16/300.43 71056[0:Res:120.1,6081.4] little_set(u) little_set(v) || member(ordered_pair(u,f7(w,x)),apply(y,z)) member(w,second(x)) equal(v,x) member(ordered_pair(f6(w,x),u),x1) -> member(v,compose(x1,second(f28(ordered_pair(u,f7(w,x)),y,z))))*. % 300.16/300.43 71398[0:Res:5263.4,274.0] || closed(u,v) closed(cross_product(w,restrict(x,y)),z) maps(x1,cross_product(w,restrict(x,y)),u) -> homomorphism(x1,cross_product(w,restrict(x,y)),z,u,v) member(second(f33(x1,cross_product(w,restrict(x,y)),z,u,v)),cross_product(y,universal_set))*. % 300.16/300.43 71503[0:Res:5262.4,274.0] || closed(u,v) closed(cross_product(restrict(w,x),y),z) maps(x1,cross_product(restrict(w,x),y),u) -> homomorphism(x1,cross_product(restrict(w,x),y),z,u,v) member(first(f33(x1,cross_product(restrict(w,x),y),z,u,v)),cross_product(x,universal_set))*. % 300.16/300.43 71649[0:Res:5308.4,274.0] || closed(u,v) closed(cross_product(w,restrict(x,y)),z) maps(x1,cross_product(w,restrict(x,y)),u) -> homomorphism(x1,cross_product(w,restrict(x,y)),z,u,v) member(second(f32(x1,cross_product(w,restrict(x,y)),z,u,v)),cross_product(y,universal_set))*. % 300.16/300.43 71902[0:Res:5307.4,274.0] || closed(u,v) closed(cross_product(restrict(w,x),y),z) maps(x1,cross_product(restrict(w,x),y),u) -> homomorphism(x1,cross_product(restrict(w,x),y),z,u,v) member(first(f32(x1,cross_product(restrict(w,x),y),z,u,v)),cross_product(x,universal_set))*. % 300.16/300.43 72578[0:Res:5054.3,5365.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(f9(y,z),ordered_pair(ordered_pair(f10(y,z),f11(y,z)),w)),u)* member(y,rotate_right(z)) equal(x,ordered_pair(w,y))* -> member(x,rotate_right(second(ordered_pair(v,u))))*. % 300.16/300.43 72577[0:Res:5009.3,5365.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(f9(y,z),ordered_pair(ordered_pair(f10(y,z),f11(y,z)),w)),v)* member(y,rotate_right(z)) equal(x,ordered_pair(w,y))* -> member(x,rotate_right(first(ordered_pair(v,u))))*. % 300.16/300.43 72993[0:Res:5054.3,5367.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(f12(y,z),ordered_pair(ordered_pair(f13(y,z),f14(y,z)),w)),u)* member(y,flip_range_of(z)) equal(x,ordered_pair(w,y))* -> member(x,rotate_right(second(ordered_pair(v,u))))*. % 300.16/300.43 72992[0:Res:5009.3,5367.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(f12(y,z),ordered_pair(ordered_pair(f13(y,z),f14(y,z)),w)),v)* member(y,flip_range_of(z)) equal(x,ordered_pair(w,y))* -> member(x,rotate_right(first(ordered_pair(v,u))))*. % 300.16/300.43 73223[0:Res:5054.3,6060.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(ordered_pair(f10(y,z),f11(y,z)),f9(y,z))),u)* member(y,rotate_right(z)) equal(x,ordered_pair(w,y))* -> member(x,flip_range_of(second(ordered_pair(v,u))))*. % 300.16/300.43 73222[0:Res:5009.3,6060.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(ordered_pair(f10(y,z),f11(y,z)),f9(y,z))),v)* member(y,rotate_right(z)) equal(x,ordered_pair(w,y))* -> member(x,flip_range_of(first(ordered_pair(v,u))))*. % 300.16/300.43 73416[0:Res:5054.3,6062.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(ordered_pair(f13(y,z),f14(y,z)),f12(y,z))),u)* member(y,flip_range_of(z)) equal(x,ordered_pair(w,y))* -> member(x,flip_range_of(second(ordered_pair(v,u))))*. % 300.16/300.43 73415[0:Res:5009.3,6062.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(ordered_pair(f13(y,z),f14(y,z)),f12(y,z))),v)* member(y,flip_range_of(z)) equal(x,ordered_pair(w,y))* -> member(x,flip_range_of(first(ordered_pair(v,u))))*. % 300.16/300.43 73599[14:Res:42571.1,4280.0] || subset(universal_set,compose(u,non_ordered_pair(v,w))) -> equal(ordered_pair(f31(ordered_pair(universal_set,x),u,non_ordered_pair(v,w)),f30(ordered_pair(universal_set,x),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(ordered_pair(universal_set,x),u,non_ordered_pair(v,w)),f30(ordered_pair(universal_set,x),u,non_ordered_pair(v,w))),v)**. % 300.16/300.43 73543[0:Res:960.2,4280.0] || member(u,infinity) subset(infinity,compose(v,non_ordered_pair(w,x))) -> equal(ordered_pair(f31(successor(u),v,non_ordered_pair(w,x)),f30(successor(u),v,non_ordered_pair(w,x))),x)** equal(ordered_pair(f31(successor(u),v,non_ordered_pair(w,x)),f30(successor(u),v,non_ordered_pair(w,x))),w)**. % 300.16/300.43 73814[14:Res:42571.1,4355.0] || subset(universal_set,compose(non_ordered_pair(u,v),w)) -> equal(ordered_pair(f29(ordered_pair(universal_set,x),non_ordered_pair(u,v),w),f31(ordered_pair(universal_set,x),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(ordered_pair(universal_set,x),non_ordered_pair(u,v),w),f31(ordered_pair(universal_set,x),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 73758[0:Res:960.2,4355.0] || member(u,infinity) subset(infinity,compose(non_ordered_pair(v,w),x)) -> equal(ordered_pair(f29(successor(u),non_ordered_pair(v,w),x),f31(successor(u),non_ordered_pair(v,w),x)),w)** equal(ordered_pair(f29(successor(u),non_ordered_pair(v,w),x),f31(successor(u),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 74290[3:Res:6225.6,70.0] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z)* equal(first(w),x1)* subset(apply(z,x1),x2)* -> homomorphism(y,second(w),x,u,v) member(f33(y,second(w),x,u,v),x2)*. % 300.16/300.43 74377[3:Res:6226.6,70.0] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z)* equal(first(w),x1)* subset(apply(z,x1),x2)* -> homomorphism(y,second(w),x,u,v) member(f32(y,second(w),x,u,v),x2)*. % 300.16/300.43 88410[16:Res:57853.0,1441.0] || -> equal(complement(complement(converse(non_ordered_pair(u,v)))),a) equal(ordered_pair(second(f24(complement(complement(converse(non_ordered_pair(u,v)))))),first(f24(complement(complement(converse(non_ordered_pair(u,v))))))),v)** equal(ordered_pair(second(f24(complement(complement(converse(non_ordered_pair(u,v)))))),first(f24(complement(complement(converse(non_ordered_pair(u,v))))))),u)**. % 300.16/300.43 89299[0:Res:5308.4,14370.1] || closed(u,v) closed(cross_product(w,converse(complement(x))),y) maps(z,cross_product(w,converse(complement(x))),u) member(second(f32(z,cross_product(w,converse(complement(x))),y,u,v)),converse(x))* -> homomorphism(z,cross_product(w,converse(complement(x))),y,u,v). % 300.16/300.43 89298[0:Res:5263.4,14370.1] || closed(u,v) closed(cross_product(w,converse(complement(x))),y) maps(z,cross_product(w,converse(complement(x))),u) member(second(f33(z,cross_product(w,converse(complement(x))),y,u,v)),converse(x))* -> homomorphism(z,cross_product(w,converse(complement(x))),y,u,v). % 300.16/300.43 89292[0:Res:5307.4,14370.1] || closed(u,v) closed(cross_product(converse(complement(w)),x),y) maps(z,cross_product(converse(complement(w)),x),u) member(first(f32(z,cross_product(converse(complement(w)),x),y,u,v)),converse(w))* -> homomorphism(z,cross_product(converse(complement(w)),x),y,u,v). % 300.16/300.43 89291[0:Res:5262.4,14370.1] || closed(u,v) closed(cross_product(converse(complement(w)),x),y) maps(z,cross_product(converse(complement(w)),x),u) member(first(f33(z,cross_product(converse(complement(w)),x),y,u,v)),converse(w))* -> homomorphism(z,cross_product(converse(complement(w)),x),y,u,v). % 300.16/300.43 94207[16:Res:57719.1,1441.0] || -> equal(restrict(converse(non_ordered_pair(u,v)),w),a) equal(ordered_pair(second(f24(restrict(converse(non_ordered_pair(u,v)),w))),first(f24(restrict(converse(non_ordered_pair(u,v)),w)))),v)** equal(ordered_pair(second(f24(restrict(converse(non_ordered_pair(u,v)),w))),first(f24(restrict(converse(non_ordered_pair(u,v)),w)))),u)**. % 300.16/300.43 94842[16:Res:91681.1,4777.0] || equal(complement(rotate_right(non_ordered_pair(u,v))),a) -> equal(ordered_pair(f10(infinity,non_ordered_pair(u,v)),ordered_pair(f11(infinity,non_ordered_pair(u,v)),f9(infinity,non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(infinity,non_ordered_pair(u,v)),ordered_pair(f11(infinity,non_ordered_pair(u,v)),f9(infinity,non_ordered_pair(u,v)))),u)**. % 300.16/300.43 94839[16:Res:91681.1,4629.0] || equal(complement(flip_range_of(non_ordered_pair(u,v))),a) -> equal(ordered_pair(f12(infinity,non_ordered_pair(u,v)),ordered_pair(f14(infinity,non_ordered_pair(u,v)),f13(infinity,non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(infinity,non_ordered_pair(u,v)),ordered_pair(f14(infinity,non_ordered_pair(u,v)),f13(infinity,non_ordered_pair(u,v)))),u)**. % 300.16/300.43 95370[16:Res:92031.1,4777.0] || equal(complement(rotate_right(non_ordered_pair(u,v))),a) -> equal(ordered_pair(f10(a,non_ordered_pair(u,v)),ordered_pair(f11(a,non_ordered_pair(u,v)),f9(a,non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(a,non_ordered_pair(u,v)),ordered_pair(f11(a,non_ordered_pair(u,v)),f9(a,non_ordered_pair(u,v)))),u)**. % 300.16/300.43 95367[16:Res:92031.1,4629.0] || equal(complement(flip_range_of(non_ordered_pair(u,v))),a) -> equal(ordered_pair(f12(a,non_ordered_pair(u,v)),ordered_pair(f14(a,non_ordered_pair(u,v)),f13(a,non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(a,non_ordered_pair(u,v)),ordered_pair(f14(a,non_ordered_pair(u,v)),f13(a,non_ordered_pair(u,v)))),u)**. % 300.16/300.43 97132[3:SSi:97060.0,5742.0,371.1] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,w) member(ordered_pair(f29(w,x,y),u),z) -> member(v,compose(z,converse(powerset(ordered_pair(second(ordered_pair(u,f30(w,x,y))),first(ordered_pair(u,f30(w,x,y))))))))*. % 300.16/300.43 97768[0:Res:5315.4,2899.0] || closed(u,v) closed(intersection(w,domain_of(singleton_set(x))),y) maps(z,intersection(w,domain_of(singleton_set(x))),u) -> homomorphism(z,intersection(w,domain_of(singleton_set(x))),y,u,v) equal(f8(f32(z,intersection(w,domain_of(singleton_set(x))),y,u,v),singleton_set(x)),x)**. % 300.16/300.43 97767[0:Res:5270.4,2899.0] || closed(u,v) closed(intersection(w,domain_of(singleton_set(x))),y) maps(z,intersection(w,domain_of(singleton_set(x))),u) -> homomorphism(z,intersection(w,domain_of(singleton_set(x))),y,u,v) equal(f8(f33(z,intersection(w,domain_of(singleton_set(x))),y,u,v),singleton_set(x)),x)**. % 300.16/300.43 97693[0:Res:5314.4,2899.0] || closed(u,v) closed(intersection(domain_of(singleton_set(w)),x),y) maps(z,intersection(domain_of(singleton_set(w)),x),u) -> homomorphism(z,intersection(domain_of(singleton_set(w)),x),y,u,v) equal(f8(f32(z,intersection(domain_of(singleton_set(w)),x),y,u,v),singleton_set(w)),w)**. % 300.16/300.43 97691[0:Res:5269.4,2899.0] || closed(u,v) closed(intersection(domain_of(singleton_set(w)),x),y) maps(z,intersection(domain_of(singleton_set(w)),x),u) -> homomorphism(z,intersection(domain_of(singleton_set(w)),x),y,u,v) equal(f8(f33(z,intersection(domain_of(singleton_set(w)),x),y,u,v),singleton_set(w)),w)**. % 300.16/300.43 98005[0:Res:5315.4,2938.0] || closed(u,v) closed(intersection(w,sigma(singleton_set(x))),y) maps(z,intersection(w,sigma(singleton_set(x))),u) -> homomorphism(z,intersection(w,sigma(singleton_set(x))),y,u,v) equal(f16(f32(z,intersection(w,sigma(singleton_set(x))),y,u,v),singleton_set(x)),x)**. % 300.16/300.43 98004[0:Res:5270.4,2938.0] || closed(u,v) closed(intersection(w,sigma(singleton_set(x))),y) maps(z,intersection(w,sigma(singleton_set(x))),u) -> homomorphism(z,intersection(w,sigma(singleton_set(x))),y,u,v) equal(f16(f33(z,intersection(w,sigma(singleton_set(x))),y,u,v),singleton_set(x)),x)**. % 300.16/300.43 97906[0:Res:5314.4,2938.0] || closed(u,v) closed(intersection(sigma(singleton_set(w)),x),y) maps(z,intersection(sigma(singleton_set(w)),x),u) -> homomorphism(z,intersection(sigma(singleton_set(w)),x),y,u,v) equal(f16(f32(z,intersection(sigma(singleton_set(w)),x),y,u,v),singleton_set(w)),w)**. % 300.16/300.43 97904[0:Res:5269.4,2938.0] || closed(u,v) closed(intersection(sigma(singleton_set(w)),x),y) maps(z,intersection(sigma(singleton_set(w)),x),u) -> homomorphism(z,intersection(sigma(singleton_set(w)),x),y,u,v) equal(f16(f33(z,intersection(sigma(singleton_set(w)),x),y,u,v),singleton_set(w)),w)**. % 300.16/300.43 98224[0:Res:5315.4,2959.0] || closed(u,v) closed(intersection(w,range_of(singleton_set(x))),y) maps(z,intersection(w,range_of(singleton_set(x))),u) -> homomorphism(z,intersection(w,range_of(singleton_set(x))),y,u,v) equal(f27(f32(z,intersection(w,range_of(singleton_set(x))),y,u,v),singleton_set(x)),x)**. % 300.16/300.43 98223[0:Res:5270.4,2959.0] || closed(u,v) closed(intersection(w,range_of(singleton_set(x))),y) maps(z,intersection(w,range_of(singleton_set(x))),u) -> homomorphism(z,intersection(w,range_of(singleton_set(x))),y,u,v) equal(f27(f33(z,intersection(w,range_of(singleton_set(x))),y,u,v),singleton_set(x)),x)**. % 300.16/300.43 98149[0:Res:5314.4,2959.0] || closed(u,v) closed(intersection(range_of(singleton_set(w)),x),y) maps(z,intersection(range_of(singleton_set(w)),x),u) -> homomorphism(z,intersection(range_of(singleton_set(w)),x),y,u,v) equal(f27(f32(z,intersection(range_of(singleton_set(w)),x),y,u,v),singleton_set(w)),w)**. % 300.16/300.43 98147[0:Res:5269.4,2959.0] || closed(u,v) closed(intersection(range_of(singleton_set(w)),x),y) maps(z,intersection(range_of(singleton_set(w)),x),u) -> homomorphism(z,intersection(range_of(singleton_set(w)),x),y,u,v) equal(f27(f33(z,intersection(range_of(singleton_set(w)),x),y,u,v),singleton_set(w)),w)**. % 300.16/300.43 100434[16:Res:4779.1,56166.0] || member(u,rotate_right(powerset(singleton_set(v)))) -> equal(ordered_pair(f10(u,powerset(singleton_set(v))),ordered_pair(f11(u,powerset(singleton_set(v))),f9(u,powerset(singleton_set(v))))),a) equal(f24(ordered_pair(f10(u,powerset(singleton_set(v))),ordered_pair(f11(u,powerset(singleton_set(v))),f9(u,powerset(singleton_set(v)))))),v)**. % 300.16/300.43 100433[16:Res:4631.1,56166.0] || member(u,flip_range_of(powerset(singleton_set(v)))) -> equal(ordered_pair(f12(u,powerset(singleton_set(v))),ordered_pair(f14(u,powerset(singleton_set(v))),f13(u,powerset(singleton_set(v))))),a) equal(f24(ordered_pair(f12(u,powerset(singleton_set(v))),ordered_pair(f14(u,powerset(singleton_set(v))),f13(u,powerset(singleton_set(v)))))),v)**. % 300.16/300.43 100424[16:Res:5311.4,56166.0] || closed(u,v) closed(powerset(singleton_set(w)),x) maps(y,powerset(singleton_set(w)),u) -> homomorphism(y,powerset(singleton_set(w)),x,u,v) equal(f32(y,powerset(singleton_set(w)),x,u,v),a) equal(f24(f32(y,powerset(singleton_set(w)),x,u,v)),w)**. % 300.16/300.43 100423[16:Res:5266.4,56166.0] || closed(u,v) closed(powerset(singleton_set(w)),x) maps(y,powerset(singleton_set(w)),u) -> homomorphism(y,powerset(singleton_set(w)),x,u,v) equal(f33(y,powerset(singleton_set(w)),x,u,v),a) equal(f24(f33(y,powerset(singleton_set(w)),x,u,v)),w)**. % 300.16/300.43 101708[16:Res:57867.1,4355.0] || disjoint(complement(compose(non_ordered_pair(u,v),w)),x) -> equal(x,a) equal(ordered_pair(f29(f24(x),non_ordered_pair(u,v),w),f31(f24(x),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(f24(x),non_ordered_pair(u,v),w),f31(f24(x),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 101707[16:Res:57867.1,4280.0] || disjoint(complement(compose(u,non_ordered_pair(v,w))),x) -> equal(x,a) equal(ordered_pair(f31(f24(x),u,non_ordered_pair(v,w)),f30(f24(x),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(f24(x),u,non_ordered_pair(v,w)),f30(f24(x),u,non_ordered_pair(v,w))),v)**. % 300.16/300.43 103652[0:Res:4783.1,16184.0] || member(u,rotate_right(intersection(v,domain_of(intersection(cross_product(w,x),y))))) -> member(ordered_pair(f10(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))),ordered_pair(f11(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))),f9(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))))),w)*. % 300.16/300.43 103650[0:Res:4635.1,16184.0] || member(u,flip_range_of(intersection(v,domain_of(intersection(cross_product(w,x),y))))) -> member(ordered_pair(f12(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))),ordered_pair(f14(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))),f13(u,intersection(v,domain_of(intersection(cross_product(w,x),y)))))),w)*. % 300.16/300.43 103640[0:Res:4782.1,16184.0] || member(u,rotate_right(intersection(domain_of(intersection(cross_product(v,w),x)),y))) -> member(ordered_pair(f10(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)),ordered_pair(f11(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)),f9(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)))),v)*. % 300.16/300.43 103638[0:Res:4634.1,16184.0] || member(u,flip_range_of(intersection(domain_of(intersection(cross_product(v,w),x)),y))) -> member(ordered_pair(f12(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)),ordered_pair(f14(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)),f13(u,intersection(domain_of(intersection(cross_product(v,w),x)),y)))),v)*. % 300.16/300.43 103632[0:Res:3837.1,16184.0] || -> equal(non_ordered_pair(u,v),domain_of(intersection(cross_product(w,x),y))) equal(f1(non_ordered_pair(u,v),domain_of(intersection(cross_product(w,x),y))),v) equal(f1(non_ordered_pair(u,v),domain_of(intersection(cross_product(w,x),y))),u) member(f1(non_ordered_pair(u,v),domain_of(intersection(cross_product(w,x),y))),w)*. % 300.16/300.43 103538[0:Res:3819.1,16184.0] || -> equal(domain_of(intersection(cross_product(u,v),w)),non_ordered_pair(x,y)) equal(f1(domain_of(intersection(cross_product(u,v),w)),non_ordered_pair(x,y)),y) equal(f1(domain_of(intersection(cross_product(u,v),w)),non_ordered_pair(x,y)),x) member(f1(domain_of(intersection(cross_product(u,v),w)),non_ordered_pair(x,y)),u)*. % 300.16/300.43 103894[0:Res:4783.1,16416.0] || member(u,rotate_right(intersection(v,domain_of(intersection(w,cross_product(x,y)))))) -> member(ordered_pair(f10(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))),ordered_pair(f11(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))),f9(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))))),x)*. % 300.16/300.43 103892[0:Res:4635.1,16416.0] || member(u,flip_range_of(intersection(v,domain_of(intersection(w,cross_product(x,y)))))) -> member(ordered_pair(f12(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))),ordered_pair(f14(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))),f13(u,intersection(v,domain_of(intersection(w,cross_product(x,y))))))),x)*. % 300.16/300.43 103882[0:Res:4782.1,16416.0] || member(u,rotate_right(intersection(domain_of(intersection(v,cross_product(w,x))),y))) -> member(ordered_pair(f10(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)),ordered_pair(f11(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)),f9(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)))),w)*. % 300.16/300.43 103880[0:Res:4634.1,16416.0] || member(u,flip_range_of(intersection(domain_of(intersection(v,cross_product(w,x))),y))) -> member(ordered_pair(f12(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)),ordered_pair(f14(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)),f13(u,intersection(domain_of(intersection(v,cross_product(w,x))),y)))),w)*. % 300.16/300.43 103874[0:Res:3837.1,16416.0] || -> equal(non_ordered_pair(u,v),domain_of(intersection(w,cross_product(x,y)))) equal(f1(non_ordered_pair(u,v),domain_of(intersection(w,cross_product(x,y)))),v) equal(f1(non_ordered_pair(u,v),domain_of(intersection(w,cross_product(x,y)))),u) member(f1(non_ordered_pair(u,v),domain_of(intersection(w,cross_product(x,y)))),x)*. % 300.16/300.43 103780[0:Res:3819.1,16416.0] || -> equal(domain_of(intersection(u,cross_product(v,w))),non_ordered_pair(x,y)) equal(f1(domain_of(intersection(u,cross_product(v,w))),non_ordered_pair(x,y)),y) equal(f1(domain_of(intersection(u,cross_product(v,w))),non_ordered_pair(x,y)),x) member(f1(domain_of(intersection(u,cross_product(v,w))),non_ordered_pair(x,y)),v)*. % 300.16/300.43 104139[0:Res:4783.1,17439.0] || member(u,rotate_right(intersection(v,range_of(intersection(cross_product(w,x),y))))) -> member(ordered_pair(f10(u,intersection(v,range_of(intersection(cross_product(w,x),y)))),ordered_pair(f11(u,intersection(v,range_of(intersection(cross_product(w,x),y)))),f9(u,intersection(v,range_of(intersection(cross_product(w,x),y)))))),x)*. % 300.16/300.43 104137[0:Res:4635.1,17439.0] || member(u,flip_range_of(intersection(v,range_of(intersection(cross_product(w,x),y))))) -> member(ordered_pair(f12(u,intersection(v,range_of(intersection(cross_product(w,x),y)))),ordered_pair(f14(u,intersection(v,range_of(intersection(cross_product(w,x),y)))),f13(u,intersection(v,range_of(intersection(cross_product(w,x),y)))))),x)*. % 300.16/300.43 104127[0:Res:4782.1,17439.0] || member(u,rotate_right(intersection(range_of(intersection(cross_product(v,w),x)),y))) -> member(ordered_pair(f10(u,intersection(range_of(intersection(cross_product(v,w),x)),y)),ordered_pair(f11(u,intersection(range_of(intersection(cross_product(v,w),x)),y)),f9(u,intersection(range_of(intersection(cross_product(v,w),x)),y)))),w)*. % 300.16/300.43 104125[0:Res:4634.1,17439.0] || member(u,flip_range_of(intersection(range_of(intersection(cross_product(v,w),x)),y))) -> member(ordered_pair(f12(u,intersection(range_of(intersection(cross_product(v,w),x)),y)),ordered_pair(f14(u,intersection(range_of(intersection(cross_product(v,w),x)),y)),f13(u,intersection(range_of(intersection(cross_product(v,w),x)),y)))),w)*. % 300.16/300.43 104119[0:Res:3837.1,17439.0] || -> equal(non_ordered_pair(u,v),range_of(intersection(cross_product(w,x),y))) equal(f1(non_ordered_pair(u,v),range_of(intersection(cross_product(w,x),y))),v) equal(f1(non_ordered_pair(u,v),range_of(intersection(cross_product(w,x),y))),u) member(f1(non_ordered_pair(u,v),range_of(intersection(cross_product(w,x),y))),x)*. % 300.16/300.43 104025[0:Res:3819.1,17439.0] || -> equal(range_of(intersection(cross_product(u,v),w)),non_ordered_pair(x,y)) equal(f1(range_of(intersection(cross_product(u,v),w)),non_ordered_pair(x,y)),y) equal(f1(range_of(intersection(cross_product(u,v),w)),non_ordered_pair(x,y)),x) member(f1(range_of(intersection(cross_product(u,v),w)),non_ordered_pair(x,y)),v)*. % 300.16/300.43 104416[0:Res:4783.1,17546.0] || member(u,rotate_right(intersection(v,range_of(intersection(w,cross_product(x,y)))))) -> member(ordered_pair(f10(u,intersection(v,range_of(intersection(w,cross_product(x,y))))),ordered_pair(f11(u,intersection(v,range_of(intersection(w,cross_product(x,y))))),f9(u,intersection(v,range_of(intersection(w,cross_product(x,y))))))),y)*. % 300.16/300.43 104414[0:Res:4635.1,17546.0] || member(u,flip_range_of(intersection(v,range_of(intersection(w,cross_product(x,y)))))) -> member(ordered_pair(f12(u,intersection(v,range_of(intersection(w,cross_product(x,y))))),ordered_pair(f14(u,intersection(v,range_of(intersection(w,cross_product(x,y))))),f13(u,intersection(v,range_of(intersection(w,cross_product(x,y))))))),y)*. % 300.16/300.43 104404[0:Res:4782.1,17546.0] || member(u,rotate_right(intersection(range_of(intersection(v,cross_product(w,x))),y))) -> member(ordered_pair(f10(u,intersection(range_of(intersection(v,cross_product(w,x))),y)),ordered_pair(f11(u,intersection(range_of(intersection(v,cross_product(w,x))),y)),f9(u,intersection(range_of(intersection(v,cross_product(w,x))),y)))),x)*. % 300.16/300.43 104402[0:Res:4634.1,17546.0] || member(u,flip_range_of(intersection(range_of(intersection(v,cross_product(w,x))),y))) -> member(ordered_pair(f12(u,intersection(range_of(intersection(v,cross_product(w,x))),y)),ordered_pair(f14(u,intersection(range_of(intersection(v,cross_product(w,x))),y)),f13(u,intersection(range_of(intersection(v,cross_product(w,x))),y)))),x)*. % 300.16/300.43 104396[0:Res:3837.1,17546.0] || -> equal(non_ordered_pair(u,v),range_of(intersection(w,cross_product(x,y)))) equal(f1(non_ordered_pair(u,v),range_of(intersection(w,cross_product(x,y)))),v) equal(f1(non_ordered_pair(u,v),range_of(intersection(w,cross_product(x,y)))),u) member(f1(non_ordered_pair(u,v),range_of(intersection(w,cross_product(x,y)))),y)*. % 300.16/300.43 104302[0:Res:3819.1,17546.0] || -> equal(range_of(intersection(u,cross_product(v,w))),non_ordered_pair(x,y)) equal(f1(range_of(intersection(u,cross_product(v,w))),non_ordered_pair(x,y)),y) equal(f1(range_of(intersection(u,cross_product(v,w))),non_ordered_pair(x,y)),x) member(f1(range_of(intersection(u,cross_product(v,w))),non_ordered_pair(x,y)),w)*. % 300.16/300.43 33802[0:Res:3651.2,4284.1] || member(ordered_pair(f31(u,v,complement(restrict(w,x))),f30(u,v,complement(restrict(w,x)))),cross_product(x,universal_set))* member(ordered_pair(f31(u,v,complement(restrict(w,x))),f30(u,v,complement(restrict(w,x)))),w)* member(u,compose(v,complement(restrict(w,x)))) -> . % 300.16/300.43 33827[3:SSi:33789.0,5742.0,371.1] || member(second(ordered_pair(f31(u,v,complement(cross_product(w,x))),f30(u,v,complement(cross_product(w,x))))),x)* member(first(ordered_pair(f31(u,v,complement(cross_product(w,x))),f30(u,v,complement(cross_product(w,x))))),w)* member(u,compose(v,complement(cross_product(w,x)))) -> . % 300.16/300.43 33890[0:Res:3651.2,4359.1] || member(ordered_pair(f29(u,complement(restrict(v,w)),x),f31(u,complement(restrict(v,w)),x)),cross_product(w,universal_set))* member(ordered_pair(f29(u,complement(restrict(v,w)),x),f31(u,complement(restrict(v,w)),x)),v)* member(u,compose(complement(restrict(v,w)),x)) -> . % 300.16/300.43 33915[3:SSi:33877.0,5742.0,371.1] || member(second(ordered_pair(f29(u,complement(cross_product(v,w)),x),f31(u,complement(cross_product(v,w)),x))),w)* member(first(ordered_pair(f29(u,complement(cross_product(v,w)),x),f31(u,complement(cross_product(v,w)),x))),v)* member(u,compose(complement(cross_product(v,w)),x)) -> . % 300.16/300.43 34318[0:Res:3836.1,1437.0] || -> equal(cross_product(u,v),range_of(non_ordered_pair(w,x))) member(second(f1(cross_product(u,v),range_of(non_ordered_pair(w,x)))),v)* equal(f27(f1(cross_product(u,v),range_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f27(f1(cross_product(u,v),range_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34317[0:Res:3835.1,1437.0] || -> equal(cross_product(u,v),range_of(non_ordered_pair(w,x))) member(first(f1(cross_product(u,v),range_of(non_ordered_pair(w,x)))),u)* equal(f27(f1(cross_product(u,v),range_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f27(f1(cross_product(u,v),range_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34248[0:Res:3818.1,1437.0] || -> equal(range_of(non_ordered_pair(u,v)),cross_product(w,x)) member(second(f1(range_of(non_ordered_pair(u,v)),cross_product(w,x))),x)* equal(f27(f1(range_of(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),v)** equal(f27(f1(range_of(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34247[0:Res:3817.1,1437.0] || -> equal(range_of(non_ordered_pair(u,v)),cross_product(w,x)) member(first(f1(range_of(non_ordered_pair(u,v)),cross_product(w,x))),w)* equal(f27(f1(range_of(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),v)** equal(f27(f1(range_of(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34490[0:Res:3836.1,1438.0] || -> equal(cross_product(u,v),sigma(non_ordered_pair(w,x))) member(second(f1(cross_product(u,v),sigma(non_ordered_pair(w,x)))),v)* equal(f16(f1(cross_product(u,v),sigma(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f16(f1(cross_product(u,v),sigma(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34489[0:Res:3835.1,1438.0] || -> equal(cross_product(u,v),sigma(non_ordered_pair(w,x))) member(first(f1(cross_product(u,v),sigma(non_ordered_pair(w,x)))),u)* equal(f16(f1(cross_product(u,v),sigma(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f16(f1(cross_product(u,v),sigma(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34415[0:Res:3818.1,1438.0] || -> equal(sigma(non_ordered_pair(u,v)),cross_product(w,x)) member(second(f1(sigma(non_ordered_pair(u,v)),cross_product(w,x))),x)* equal(f16(f1(sigma(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),v)** equal(f16(f1(sigma(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34414[0:Res:3817.1,1438.0] || -> equal(sigma(non_ordered_pair(u,v)),cross_product(w,x)) member(first(f1(sigma(non_ordered_pair(u,v)),cross_product(w,x))),w)* equal(f16(f1(sigma(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),v)** equal(f16(f1(sigma(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34655[0:Res:3836.1,1439.0] || -> equal(cross_product(u,v),domain_of(non_ordered_pair(w,x))) member(second(f1(cross_product(u,v),domain_of(non_ordered_pair(w,x)))),v)* equal(f8(f1(cross_product(u,v),domain_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f8(f1(cross_product(u,v),domain_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34654[0:Res:3835.1,1439.0] || -> equal(cross_product(u,v),domain_of(non_ordered_pair(w,x))) member(first(f1(cross_product(u,v),domain_of(non_ordered_pair(w,x)))),u)* equal(f8(f1(cross_product(u,v),domain_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),x)** equal(f8(f1(cross_product(u,v),domain_of(non_ordered_pair(w,x))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34585[0:Res:3818.1,1439.0] || -> equal(domain_of(non_ordered_pair(u,v)),cross_product(w,x)) member(second(f1(domain_of(non_ordered_pair(u,v)),cross_product(w,x))),x)* equal(f8(f1(domain_of(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),v)** equal(f8(f1(domain_of(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34584[0:Res:3817.1,1439.0] || -> equal(domain_of(non_ordered_pair(u,v)),cross_product(w,x)) member(first(f1(domain_of(non_ordered_pair(u,v)),cross_product(w,x))),w)* equal(f8(f1(domain_of(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),v)** equal(f8(f1(domain_of(non_ordered_pair(u,v)),cross_product(w,x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 35650[3:SSi:35598.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),sigma(w)) member(u,domain_of(v)) -> member(f8(u,v),converse(converse(f16(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),w))))*. % 300.16/300.43 35651[3:SSi:35597.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),sigma(w)) member(u,range_of(v)) -> member(f27(u,v),converse(converse(f16(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),w))))*. % 300.16/300.43 35809[3:SSi:35757.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),first(w)) member(u,domain_of(v)) -> member(f8(u,v),converse(converse(f4(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),w))))*. % 300.16/300.43 35810[3:SSi:35756.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),first(w)) member(u,range_of(v)) -> member(f27(u,v),converse(converse(f4(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),w))))*. % 300.16/300.43 36028[3:SSi:35976.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),second(w)) member(u,domain_of(v)) -> member(f8(u,v),converse(converse(f7(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),w))))*. % 300.16/300.43 36029[3:SSi:35975.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),second(w)) member(u,range_of(v)) -> member(f27(u,v),converse(converse(f7(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),w))))*. % 300.16/300.43 40249[0:Res:3842.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,y),ordered_pair(f10(u,v),f11(u,v))) member(f1(intersection(x,y),ordered_pair(f10(u,v),f11(u,v))),x)* member(f1(intersection(x,y),ordered_pair(f10(u,v),f11(u,v))),second(w))*. % 300.16/300.43 40248[0:Res:3843.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,y),ordered_pair(f10(u,v),f11(u,v))) member(f1(intersection(x,y),ordered_pair(f10(u,v),f11(u,v))),y)* member(f1(intersection(x,y),ordered_pair(f10(u,v),f11(u,v))),second(w))*. % 300.16/300.43 40247[0:Res:3825.2,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(x,intersection(y,ordered_pair(f10(u,v),f11(u,v)))) member(f1(x,intersection(y,ordered_pair(f10(u,v),f11(u,v)))),x)* member(f1(x,intersection(y,ordered_pair(f10(u,v),f11(u,v)))),second(w))*. % 300.16/300.43 40218[0:Res:3843.2,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(x,ordered_pair(f10(u,v),f11(u,v))),y) member(f1(intersection(x,ordered_pair(f10(u,v),f11(u,v))),y),y)* member(f1(intersection(x,ordered_pair(f10(u,v),f11(u,v))),y),second(w))*. % 300.16/300.43 40217[0:Res:3824.2,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(x,intersection(ordered_pair(f10(u,v),f11(u,v)),y)) member(f1(x,intersection(ordered_pair(f10(u,v),f11(u,v)),y)),x)* member(f1(x,intersection(ordered_pair(f10(u,v),f11(u,v)),y)),second(w))*. % 300.16/300.43 40185[0:Res:3842.2,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(intersection(ordered_pair(f10(u,v),f11(u,v)),x),y) member(f1(intersection(ordered_pair(f10(u,v),f11(u,v)),x),y),y)* member(f1(intersection(ordered_pair(f10(u,v),f11(u,v)),x),y),second(w))*. % 300.16/300.43 40179[0:Res:3824.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(ordered_pair(f10(u,v),f11(u,v)),intersection(x,y)) member(f1(ordered_pair(f10(u,v),f11(u,v)),intersection(x,y)),x)* member(f1(ordered_pair(f10(u,v),f11(u,v)),intersection(x,y)),second(w))*. % 300.16/300.43 40178[0:Res:3825.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(ordered_pair(f10(u,v),f11(u,v)),intersection(x,y)) member(f1(ordered_pair(f10(u,v),f11(u,v)),intersection(x,y)),y)* member(f1(ordered_pair(f10(u,v),f11(u,v)),intersection(x,y)),second(w))*. % 300.16/300.43 40429[0:Res:3842.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,y),ordered_pair(f13(u,v),f14(u,v))) member(f1(intersection(x,y),ordered_pair(f13(u,v),f14(u,v))),x)* member(f1(intersection(x,y),ordered_pair(f13(u,v),f14(u,v))),second(w))*. % 300.16/300.43 40428[0:Res:3843.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,y),ordered_pair(f13(u,v),f14(u,v))) member(f1(intersection(x,y),ordered_pair(f13(u,v),f14(u,v))),y)* member(f1(intersection(x,y),ordered_pair(f13(u,v),f14(u,v))),second(w))*. % 300.16/300.43 40427[0:Res:3825.2,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(x,intersection(y,ordered_pair(f13(u,v),f14(u,v)))) member(f1(x,intersection(y,ordered_pair(f13(u,v),f14(u,v)))),x)* member(f1(x,intersection(y,ordered_pair(f13(u,v),f14(u,v)))),second(w))*. % 300.16/300.43 40398[0:Res:3843.2,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(x,ordered_pair(f13(u,v),f14(u,v))),y) member(f1(intersection(x,ordered_pair(f13(u,v),f14(u,v))),y),y)* member(f1(intersection(x,ordered_pair(f13(u,v),f14(u,v))),y),second(w))*. % 300.16/300.43 40397[0:Res:3824.2,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(x,intersection(ordered_pair(f13(u,v),f14(u,v)),y)) member(f1(x,intersection(ordered_pair(f13(u,v),f14(u,v)),y)),x)* member(f1(x,intersection(ordered_pair(f13(u,v),f14(u,v)),y)),second(w))*. % 300.16/300.43 40365[0:Res:3842.2,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(intersection(ordered_pair(f13(u,v),f14(u,v)),x),y) member(f1(intersection(ordered_pair(f13(u,v),f14(u,v)),x),y),y)* member(f1(intersection(ordered_pair(f13(u,v),f14(u,v)),x),y),second(w))*. % 300.16/300.43 40359[0:Res:3824.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(ordered_pair(f13(u,v),f14(u,v)),intersection(x,y)) member(f1(ordered_pair(f13(u,v),f14(u,v)),intersection(x,y)),x)* member(f1(ordered_pair(f13(u,v),f14(u,v)),intersection(x,y)),second(w))*. % 300.16/300.43 40358[0:Res:3825.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(ordered_pair(f13(u,v),f14(u,v)),intersection(x,y)) member(f1(ordered_pair(f13(u,v),f14(u,v)),intersection(x,y)),y)* member(f1(ordered_pair(f13(u,v),f14(u,v)),intersection(x,y)),second(w))*. % 300.16/300.43 42046[3:Res:3836.1,6212.0] || member(u,v) equal(first(u),w) -> equal(cross_product(x,y),converse(second(u))) member(second(f1(cross_product(x,y),converse(second(u)))),y) member(ordered_pair(second(f1(cross_product(x,y),converse(second(u)))),first(f1(cross_product(x,y),converse(second(u))))),apply(v,w))*. % 300.16/300.43 42045[3:Res:3835.1,6212.0] || member(u,v) equal(first(u),w) -> equal(cross_product(x,y),converse(second(u))) member(first(f1(cross_product(x,y),converse(second(u)))),x) member(ordered_pair(second(f1(cross_product(x,y),converse(second(u)))),first(f1(cross_product(x,y),converse(second(u))))),apply(v,w))*. % 300.16/300.43 41975[3:Res:3818.1,6212.0] || member(u,v) equal(first(u),w) -> equal(converse(second(u)),cross_product(x,y)) member(second(f1(converse(second(u)),cross_product(x,y))),y) member(ordered_pair(second(f1(converse(second(u)),cross_product(x,y))),first(f1(converse(second(u)),cross_product(x,y)))),apply(v,w))*. % 300.16/300.43 41974[3:Res:3817.1,6212.0] || member(u,v) equal(first(u),w) -> equal(converse(second(u)),cross_product(x,y)) member(first(f1(converse(second(u)),cross_product(x,y))),x) member(ordered_pair(second(f1(converse(second(u)),cross_product(x,y))),first(f1(converse(second(u)),cross_product(x,y)))),apply(v,w))*. % 300.16/300.43 44222[3:Res:6216.3,3811.0] || member(u,image(second(v),w)) member(v,x) equal(first(v),y) -> equal(z,first(f22(u,second(v),w))) member(f1(z,first(f22(u,second(v),w))),z)* member(f1(z,first(f22(u,second(v),w))),sigma(apply(x,y)))*. % 300.16/300.43 44221[3:Res:6216.3,3829.0] || member(u,image(second(v),w)) member(v,x) equal(first(v),y) -> equal(first(f22(u,second(v),w)),z) member(f1(first(f22(u,second(v),w)),z),z)* member(f1(first(f22(u,second(v),w)),z),sigma(apply(x,y)))*. % 300.16/300.43 47310[0:Res:557.1,1558.0] || member(u,range_of(cross_product(image(non_ordered_pair(v,w),x),y))) -> equal(first(f22(first(f27(u,cross_product(image(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x)),w)** equal(first(f22(first(f27(u,cross_product(image(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47309[0:Res:558.1,1558.0] || member(u,sigma(cross_product(image(non_ordered_pair(v,w),x),y))) -> equal(first(f22(first(f16(u,cross_product(image(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x)),w)** equal(first(f22(first(f16(u,cross_product(image(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47252[0:Res:545.1,1558.0] || member(u,sigma(cross_product(v,image(non_ordered_pair(w,x),y)))) -> equal(first(f22(second(f16(u,cross_product(v,image(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y)),x)** equal(first(f22(second(f16(u,cross_product(v,image(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47251[0:Res:546.1,1558.0] || member(u,domain_of(cross_product(v,image(non_ordered_pair(w,x),y)))) -> equal(first(f22(second(f8(u,cross_product(v,image(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y)),x)** equal(first(f22(second(f8(u,cross_product(v,image(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 67008[0:Res:5054.3,4158.0] little_set(u) little_set(v) || member(f1(w,intersection(x,second(ordered_pair(v,u)))),u)* member(f1(w,intersection(x,second(ordered_pair(v,u)))),x)* member(f1(w,intersection(x,second(ordered_pair(v,u)))),w)* -> equal(w,intersection(x,second(ordered_pair(v,u)))). % 300.16/300.43 67007[0:Res:5009.3,4158.0] little_set(u) little_set(v) || member(f1(w,intersection(x,first(ordered_pair(v,u)))),v)* member(f1(w,intersection(x,first(ordered_pair(v,u)))),x)* member(f1(w,intersection(x,first(ordered_pair(v,u)))),w)* -> equal(w,intersection(x,first(ordered_pair(v,u)))). % 300.16/300.43 66999[0:Res:33.2,4158.0] || member(f1(u,intersection(v,intersection(w,x))),x)* member(f1(u,intersection(v,intersection(w,x))),w)* member(f1(u,intersection(v,intersection(w,x))),v)* member(f1(u,intersection(v,intersection(w,x))),u)* -> equal(u,intersection(v,intersection(w,x))). % 300.16/300.43 67105[0:Res:378.3,5162.4] ordered_pair_predicate(first(f27(u,v))) little_set(w) || member(second(first(f27(u,v))),x)* member(first(first(f27(u,v))),y)* member(u,range_of(v)) member(f27(u,v),z)* equal(u,w)* -> member(w,image(cross_product(y,x),z))*. % 300.16/300.43 68151[0:Res:5257.5,5070.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,ordered_pair(f13(z,x1),f14(z,x1)))* member(z,flip_range_of(x1)) equal(x2,z)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),second(x2))*. % 300.16/300.43 68150[0:Res:5257.5,5068.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,ordered_pair(f10(z,x1),f11(z,x1)))* member(z,rotate_right(x1)) equal(x2,z)* -> homomorphism(y,w,x,u,v) member(f33(y,w,x,u,v),second(x2))*. % 300.16/300.43 68254[0:Res:5302.5,5070.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,ordered_pair(f13(z,x1),f14(z,x1)))* member(z,flip_range_of(x1)) equal(x2,z)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),second(x2))*. % 300.16/300.43 68253[0:Res:5302.5,5068.1] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,ordered_pair(f10(z,x1),f11(z,x1)))* member(z,rotate_right(x1)) equal(x2,z)* -> homomorphism(y,w,x,u,v) member(f32(y,w,x,u,v),second(x2))*. % 300.16/300.43 70175[0:Res:33.2,5359.4] little_set(u) little_set(v) || member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y)* member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),z)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(intersection(z,y)))*. % 300.16/300.43 70174[0:Res:120.1,5359.4] little_set(u) little_set(v) || member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),apply(y,z)) member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(second(f28(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),y,z))))*. % 300.16/300.43 70253[0:Res:33.2,5360.4] little_set(u) little_set(v) || member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y)* member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),z)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(intersection(z,y)))*. % 300.16/300.43 70252[0:Res:120.1,5360.4] little_set(u) little_set(v) || member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),apply(y,z)) member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,rotate_right(second(f28(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),y,z))))*. % 300.16/300.43 70325[0:Res:33.2,6054.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y)* member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),z)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(intersection(z,y)))*. % 300.16/300.43 70324[0:Res:120.1,6054.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),apply(y,z)) member(w,first(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(second(f28(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),y,z))))*. % 300.16/300.43 70396[0:Res:33.2,6055.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y)* member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),z)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(intersection(z,y)))*. % 300.16/300.43 70395[0:Res:120.1,6055.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),apply(y,z)) member(w,second(x)) equal(v,ordered_pair(u,x)) -> member(v,flip_range_of(second(f28(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),y,z))))*. % 300.16/300.43 70578[0:Res:5270.4,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(intersection(x,f3(u)),y) maps(z,intersection(x,f3(u)),v) equal(x1,u) -> homomorphism(z,intersection(x,f3(u)),y,v,w) member(f33(z,intersection(x,f3(u)),y,v,w),second(x1))*. % 300.16/300.43 70577[0:Res:5270.4,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(intersection(x,f2(u)),y) maps(z,intersection(x,f2(u)),v) equal(x1,u) -> homomorphism(z,intersection(x,f2(u)),y,v,w) member(f33(z,intersection(x,f2(u)),y,v,w),first(x1))*. % 300.16/300.43 70549[0:Res:5270.4,547.0] || closed(u,v) closed(intersection(w,range_of(cross_product(x,y))),z) maps(x1,intersection(w,range_of(cross_product(x,y))),u) -> homomorphism(x1,intersection(w,range_of(cross_product(x,y))),z,u,v) member(f33(x1,intersection(w,range_of(cross_product(x,y))),z,u,v),y)*. % 300.16/300.43 70547[0:Res:5270.4,560.0] || closed(u,v) closed(intersection(w,domain_of(cross_product(x,y))),z) maps(x1,intersection(w,domain_of(cross_product(x,y))),u) -> homomorphism(x1,intersection(w,domain_of(cross_product(x,y))),z,u,v) member(f33(x1,intersection(w,domain_of(cross_product(x,y))),z,u,v),x)*. % 300.16/300.43 70674[0:Res:5269.4,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(intersection(f3(u),x),y) maps(z,intersection(f3(u),x),v) equal(x1,u) -> homomorphism(z,intersection(f3(u),x),y,v,w) member(f33(z,intersection(f3(u),x),y,v,w),second(x1))*. % 300.16/300.43 70673[0:Res:5269.4,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(intersection(f2(u),x),y) maps(z,intersection(f2(u),x),v) equal(x1,u) -> homomorphism(z,intersection(f2(u),x),y,v,w) member(f33(z,intersection(f2(u),x),y,v,w),first(x1))*. % 300.16/300.43 70645[0:Res:5269.4,547.0] || closed(u,v) closed(intersection(range_of(cross_product(w,x)),y),z) maps(x1,intersection(range_of(cross_product(w,x)),y),u) -> homomorphism(x1,intersection(range_of(cross_product(w,x)),y),z,u,v) member(f33(x1,intersection(range_of(cross_product(w,x)),y),z,u,v),x)*. % 300.16/300.43 70643[0:Res:5269.4,560.0] || closed(u,v) closed(intersection(domain_of(cross_product(w,x)),y),z) maps(x1,intersection(domain_of(cross_product(w,x)),y),u) -> homomorphism(x1,intersection(domain_of(cross_product(w,x)),y),z,u,v) member(f33(x1,intersection(domain_of(cross_product(w,x)),y),z,u,v),w)*. % 300.16/300.43 70798[0:Res:5315.4,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(intersection(x,f3(u)),y) maps(z,intersection(x,f3(u)),v) equal(x1,u) -> homomorphism(z,intersection(x,f3(u)),y,v,w) member(f32(z,intersection(x,f3(u)),y,v,w),second(x1))*. % 300.16/300.43 70797[0:Res:5315.4,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(intersection(x,f2(u)),y) maps(z,intersection(x,f2(u)),v) equal(x1,u) -> homomorphism(z,intersection(x,f2(u)),y,v,w) member(f32(z,intersection(x,f2(u)),y,v,w),first(x1))*. % 300.16/300.43 70769[0:Res:5315.4,547.0] || closed(u,v) closed(intersection(w,range_of(cross_product(x,y))),z) maps(x1,intersection(w,range_of(cross_product(x,y))),u) -> homomorphism(x1,intersection(w,range_of(cross_product(x,y))),z,u,v) member(f32(x1,intersection(w,range_of(cross_product(x,y))),z,u,v),y)*. % 300.16/300.43 70767[0:Res:5315.4,560.0] || closed(u,v) closed(intersection(w,domain_of(cross_product(x,y))),z) maps(x1,intersection(w,domain_of(cross_product(x,y))),u) -> homomorphism(x1,intersection(w,domain_of(cross_product(x,y))),z,u,v) member(f32(x1,intersection(w,domain_of(cross_product(x,y))),z,u,v),x)*. % 300.16/300.43 70878[0:Res:5314.4,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(intersection(f3(u),x),y) maps(z,intersection(f3(u),x),v) equal(x1,u) -> homomorphism(z,intersection(f3(u),x),y,v,w) member(f32(z,intersection(f3(u),x),y,v,w),second(x1))*. % 300.16/300.43 70877[0:Res:5314.4,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(intersection(f2(u),x),y) maps(z,intersection(f2(u),x),v) equal(x1,u) -> homomorphism(z,intersection(f2(u),x),y,v,w) member(f32(z,intersection(f2(u),x),y,v,w),first(x1))*. % 300.16/300.43 70849[0:Res:5314.4,547.0] || closed(u,v) closed(intersection(range_of(cross_product(w,x)),y),z) maps(x1,intersection(range_of(cross_product(w,x)),y),u) -> homomorphism(x1,intersection(range_of(cross_product(w,x)),y),z,u,v) member(f32(x1,intersection(range_of(cross_product(w,x)),y),z,u,v),x)*. % 300.16/300.43 70847[0:Res:5314.4,560.0] || closed(u,v) closed(intersection(domain_of(cross_product(w,x)),y),z) maps(x1,intersection(domain_of(cross_product(w,x)),y),u) -> homomorphism(x1,intersection(domain_of(cross_product(w,x)),y),z,u,v) member(f32(x1,intersection(domain_of(cross_product(w,x)),y),z,u,v),w)*. % 300.16/300.43 71161[16:Res:55527.1,5363.4] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> equal(singleton_set(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u))),a) member(v,rotate_right(singleton_set(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)))))*. % 300.16/300.43 71291[16:Res:55527.1,6058.4] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> equal(singleton_set(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y)))),a) member(v,flip_range_of(singleton_set(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))))))*. % 300.16/300.43 71372[0:Res:5263.4,4238.0] || closed(u,v) closed(cross_product(w,compose(x,y)),z) maps(x1,cross_product(w,compose(x,y)),u) equal(x2,second(f33(x1,cross_product(w,compose(x,y)),z,u,v)))* -> homomorphism(x1,cross_product(w,compose(x,y)),z,u,v) ordered_pair_predicate(x2)*. % 300.16/300.43 71477[0:Res:5262.4,4238.0] || closed(u,v) closed(cross_product(compose(w,x),y),z) maps(x1,cross_product(compose(w,x),y),u) equal(x2,first(f33(x1,cross_product(compose(w,x),y),z,u,v)))* -> homomorphism(x1,cross_product(compose(w,x),y),z,u,v) ordered_pair_predicate(x2)*. % 300.16/300.43 71623[0:Res:5308.4,4238.0] || closed(u,v) closed(cross_product(w,compose(x,y)),z) maps(x1,cross_product(w,compose(x,y)),u) equal(x2,second(f32(x1,cross_product(w,compose(x,y)),z,u,v)))* -> homomorphism(x1,cross_product(w,compose(x,y)),z,u,v) ordered_pair_predicate(x2)*. % 300.16/300.43 71876[0:Res:5307.4,4238.0] || closed(u,v) closed(cross_product(compose(w,x),y),z) maps(x1,cross_product(compose(w,x),y),u) equal(x2,first(f32(x1,cross_product(compose(w,x),y),z,u,v)))* -> homomorphism(x1,cross_product(compose(w,x),y),z,u,v) ordered_pair_predicate(x2)*. % 300.16/300.43 73957[0:Res:67.1,6082.4] little_set(u) little_set(v) || member(ordered_pair(u,f30(w,x,y)),sigma(z)) member(w,compose(x,y)) equal(v,w) member(ordered_pair(f29(w,x,y),u),x1) -> member(v,compose(x1,f16(ordered_pair(u,f30(w,x,y)),z)))*. % 300.16/300.43 73956[0:Res:21.1,6082.4] little_set(u) little_set(v) || member(ordered_pair(u,f30(w,x,y)),first(z)) member(w,compose(x,y)) equal(v,w) member(ordered_pair(f29(w,x,y),u),x1) -> member(v,compose(x1,f4(ordered_pair(u,f30(w,x,y)),z)))*. % 300.16/300.43 73955[0:Res:26.1,6082.4] little_set(u) little_set(v) || member(ordered_pair(u,f30(w,x,y)),second(z)) member(w,compose(x,y)) equal(v,w) member(ordered_pair(f29(w,x,y),u),x1) -> member(v,compose(x1,f7(ordered_pair(u,f30(w,x,y)),z)))*. % 300.16/300.43 74289[3:Res:6225.6,68.0] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z)* equal(first(w),x1)* member(apply(z,x1),x2)* -> homomorphism(y,second(w),x,u,v) member(f33(y,second(w),x,u,v),sigma(x2))*. % 300.16/300.43 74288[3:Res:6225.6,98.0] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z)* equal(first(w),x1)* member(f33(y,second(w),x,u,v),x2)* disjoint(x2,apply(z,x1))* -> homomorphism(y,second(w),x,u,v). % 300.16/300.43 74303[3:Rew:108.1,74282.6,108.1,74282.3,108.1,74282.2] || member(u,range_of(v)) closed(w,x) closed(u,y) maps(z,u,w) member(f27(u,v),x1)* equal(first(f27(u,v)),x2)* -> homomorphism(z,u,y,w,x) member(f33(z,u,y,w,x),apply(x1,x2))*. % 300.16/300.43 74376[3:Res:6226.6,68.0] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z)* equal(first(w),x1)* member(apply(z,x1),x2)* -> homomorphism(y,second(w),x,u,v) member(f32(y,second(w),x,u,v),sigma(x2))*. % 300.16/300.43 74375[3:Res:6226.6,98.0] || closed(u,v) closed(second(w),x) maps(y,second(w),u) member(w,z)* equal(first(w),x1)* member(f32(y,second(w),x,u,v),x2)* disjoint(x2,apply(z,x1))* -> homomorphism(y,second(w),x,u,v). % 300.16/300.43 74390[3:Rew:108.1,74369.6,108.1,74369.3,108.1,74369.2] || member(u,range_of(v)) closed(w,x) closed(u,y) maps(z,u,w) member(f27(u,v),x1)* equal(first(f27(u,v)),x2)* -> homomorphism(z,u,y,w,x) member(f32(z,u,y,w,x),apply(x1,x2))*. % 300.16/300.43 78809[16:Res:5308.4,56189.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) equal(second(f32(z,cross_product(w,x),y,u,v)),a) little_set(f26(second(f32(z,cross_product(w,x),y,u,v))))*. % 300.16/300.43 78808[16:Res:5263.4,56189.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) equal(second(f33(z,cross_product(w,x),y,u,v)),a) little_set(f26(second(f33(z,cross_product(w,x),y,u,v))))*. % 300.16/300.43 78742[16:Res:5307.4,56189.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) equal(first(f32(z,cross_product(w,x),y,u,v)),a) little_set(f26(first(f32(z,cross_product(w,x),y,u,v))))*. % 300.16/300.43 78741[16:Res:5262.4,56189.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) equal(first(f33(z,cross_product(w,x),y,u,v)),a) little_set(f26(first(f33(z,cross_product(w,x),y,u,v))))*. % 300.16/300.43 78732[16:Res:4775.1,56189.0] || member(u,rotate_right(cross_product(v,w))) -> equal(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),a) little_set(f26(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w)))))))*. % 300.16/300.43 78731[16:Res:4627.1,56189.0] || member(u,flip_range_of(cross_product(v,w))) -> equal(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),a) little_set(f26(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w)))))))*. % 300.16/300.43 78667[16:Res:4776.1,56189.0] || member(u,rotate_right(cross_product(v,w))) -> equal(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),a) little_set(f26(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w)))))))*. % 300.16/300.43 78666[16:Res:4628.1,56189.0] || member(u,flip_range_of(cross_product(v,w))) -> equal(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),a) little_set(f26(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w)))))))*. % 300.16/300.43 79193[16:Res:5308.4,56194.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) equal(second(f32(z,cross_product(w,x),y,u,v)),a) ordered_pair_predicate(f26(second(f32(z,cross_product(w,x),y,u,v))))*. % 300.16/300.43 79192[16:Res:5263.4,56194.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) equal(second(f33(z,cross_product(w,x),y,u,v)),a) ordered_pair_predicate(f26(second(f33(z,cross_product(w,x),y,u,v))))*. % 300.16/300.43 79126[16:Res:5307.4,56194.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) equal(first(f32(z,cross_product(w,x),y,u,v)),a) ordered_pair_predicate(f26(first(f32(z,cross_product(w,x),y,u,v))))*. % 300.16/300.43 79125[16:Res:5262.4,56194.0] || closed(u,v) closed(cross_product(w,x),y) maps(z,cross_product(w,x),u) -> homomorphism(z,cross_product(w,x),y,u,v) equal(first(f33(z,cross_product(w,x),y,u,v)),a) ordered_pair_predicate(f26(first(f33(z,cross_product(w,x),y,u,v))))*. % 300.16/300.43 79116[16:Res:4775.1,56194.0] || member(u,rotate_right(cross_product(v,w))) -> equal(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),a) ordered_pair_predicate(f26(first(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w)))))))*. % 300.16/300.43 79115[16:Res:4627.1,56194.0] || member(u,flip_range_of(cross_product(v,w))) -> equal(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),a) ordered_pair_predicate(f26(first(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w)))))))*. % 300.16/300.43 79051[16:Res:4776.1,56194.0] || member(u,rotate_right(cross_product(v,w))) -> equal(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w))))),a) ordered_pair_predicate(f26(second(ordered_pair(f10(u,cross_product(v,w)),ordered_pair(f11(u,cross_product(v,w)),f9(u,cross_product(v,w)))))))*. % 300.16/300.43 79050[16:Res:4628.1,56194.0] || member(u,flip_range_of(cross_product(v,w))) -> equal(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w))))),a) ordered_pair_predicate(f26(second(ordered_pair(f12(u,cross_product(v,w)),ordered_pair(f14(u,cross_product(v,w)),f13(u,cross_product(v,w)))))))*. % 300.16/300.43 88185[3:Res:82671.1,6058.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),infinity) member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(singleton_set(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))))))*. % 300.16/300.43 88184[3:Res:82671.1,5363.4] little_set(u) little_set(v) || equal(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),infinity) member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(singleton_set(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)))))*. % 300.16/300.43 97761[0:Res:5308.4,2899.0] || closed(u,v) closed(cross_product(w,domain_of(singleton_set(x))),y) maps(z,cross_product(w,domain_of(singleton_set(x))),u) -> homomorphism(z,cross_product(w,domain_of(singleton_set(x))),y,u,v) equal(f8(second(f32(z,cross_product(w,domain_of(singleton_set(x))),y,u,v)),singleton_set(x)),x)**. % 300.16/300.43 97760[0:Res:5263.4,2899.0] || closed(u,v) closed(cross_product(w,domain_of(singleton_set(x))),y) maps(z,cross_product(w,domain_of(singleton_set(x))),u) -> homomorphism(z,cross_product(w,domain_of(singleton_set(x))),y,u,v) equal(f8(second(f33(z,cross_product(w,domain_of(singleton_set(x))),y,u,v)),singleton_set(x)),x)**. % 300.16/300.43 97754[0:Res:5307.4,2899.0] || closed(u,v) closed(cross_product(domain_of(singleton_set(w)),x),y) maps(z,cross_product(domain_of(singleton_set(w)),x),u) -> homomorphism(z,cross_product(domain_of(singleton_set(w)),x),y,u,v) equal(f8(first(f32(z,cross_product(domain_of(singleton_set(w)),x),y,u,v)),singleton_set(w)),w)**. % 300.16/300.43 97753[0:Res:5262.4,2899.0] || closed(u,v) closed(cross_product(domain_of(singleton_set(w)),x),y) maps(z,cross_product(domain_of(singleton_set(w)),x),u) -> homomorphism(z,cross_product(domain_of(singleton_set(w)),x),y,u,v) equal(f8(first(f33(z,cross_product(domain_of(singleton_set(w)),x),y,u,v)),singleton_set(w)),w)**. % 300.16/300.43 97998[0:Res:5308.4,2938.0] || closed(u,v) closed(cross_product(w,sigma(singleton_set(x))),y) maps(z,cross_product(w,sigma(singleton_set(x))),u) -> homomorphism(z,cross_product(w,sigma(singleton_set(x))),y,u,v) equal(f16(second(f32(z,cross_product(w,sigma(singleton_set(x))),y,u,v)),singleton_set(x)),x)**. % 300.16/300.43 97997[0:Res:5263.4,2938.0] || closed(u,v) closed(cross_product(w,sigma(singleton_set(x))),y) maps(z,cross_product(w,sigma(singleton_set(x))),u) -> homomorphism(z,cross_product(w,sigma(singleton_set(x))),y,u,v) equal(f16(second(f33(z,cross_product(w,sigma(singleton_set(x))),y,u,v)),singleton_set(x)),x)**. % 300.16/300.43 97967[0:Res:5307.4,2938.0] || closed(u,v) closed(cross_product(sigma(singleton_set(w)),x),y) maps(z,cross_product(sigma(singleton_set(w)),x),u) -> homomorphism(z,cross_product(sigma(singleton_set(w)),x),y,u,v) equal(f16(first(f32(z,cross_product(sigma(singleton_set(w)),x),y,u,v)),singleton_set(w)),w)**. % 300.16/300.43 97966[0:Res:5262.4,2938.0] || closed(u,v) closed(cross_product(sigma(singleton_set(w)),x),y) maps(z,cross_product(sigma(singleton_set(w)),x),u) -> homomorphism(z,cross_product(sigma(singleton_set(w)),x),y,u,v) equal(f16(first(f33(z,cross_product(sigma(singleton_set(w)),x),y,u,v)),singleton_set(w)),w)**. % 300.16/300.43 98217[0:Res:5308.4,2959.0] || closed(u,v) closed(cross_product(w,range_of(singleton_set(x))),y) maps(z,cross_product(w,range_of(singleton_set(x))),u) -> homomorphism(z,cross_product(w,range_of(singleton_set(x))),y,u,v) equal(f27(second(f32(z,cross_product(w,range_of(singleton_set(x))),y,u,v)),singleton_set(x)),x)**. % 300.16/300.43 98216[0:Res:5263.4,2959.0] || closed(u,v) closed(cross_product(w,range_of(singleton_set(x))),y) maps(z,cross_product(w,range_of(singleton_set(x))),u) -> homomorphism(z,cross_product(w,range_of(singleton_set(x))),y,u,v) equal(f27(second(f33(z,cross_product(w,range_of(singleton_set(x))),y,u,v)),singleton_set(x)),x)**. % 300.16/300.43 98210[0:Res:5307.4,2959.0] || closed(u,v) closed(cross_product(range_of(singleton_set(w)),x),y) maps(z,cross_product(range_of(singleton_set(w)),x),u) -> homomorphism(z,cross_product(range_of(singleton_set(w)),x),y,u,v) equal(f27(first(f32(z,cross_product(range_of(singleton_set(w)),x),y,u,v)),singleton_set(w)),w)**. % 300.16/300.43 98209[0:Res:5262.4,2959.0] || closed(u,v) closed(cross_product(range_of(singleton_set(w)),x),y) maps(z,cross_product(range_of(singleton_set(w)),x),u) -> homomorphism(z,cross_product(range_of(singleton_set(w)),x),y,u,v) equal(f27(first(f33(z,cross_product(range_of(singleton_set(w)),x),y,u,v)),singleton_set(w)),w)**. % 300.16/300.43 103669[0:Res:4775.1,16184.0] || member(u,rotate_right(cross_product(domain_of(intersection(cross_product(v,w),x)),y))) -> member(first(ordered_pair(f10(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y)),ordered_pair(f11(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y)),f9(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y))))),v)*. % 300.16/300.43 103668[0:Res:4627.1,16184.0] || member(u,flip_range_of(cross_product(domain_of(intersection(cross_product(v,w),x)),y))) -> member(first(ordered_pair(f12(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y)),ordered_pair(f14(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y)),f13(u,cross_product(domain_of(intersection(cross_product(v,w),x)),y))))),v)*. % 300.16/300.43 103617[0:Res:142.3,16184.0] || closed(u,v) closed(domain_of(intersection(cross_product(w,x),y)),z) maps(x1,domain_of(intersection(cross_product(w,x),y)),u) -> homomorphism(x1,domain_of(intersection(cross_product(w,x),y)),z,u,v) member(f32(x1,domain_of(intersection(cross_product(w,x),y)),z,u,v),w)*. % 300.16/300.43 103615[0:Res:143.3,16184.0] || closed(u,v) closed(domain_of(intersection(cross_product(w,x),y)),z) maps(x1,domain_of(intersection(cross_product(w,x),y)),u) -> homomorphism(x1,domain_of(intersection(cross_product(w,x),y)),z,u,v) member(f33(x1,domain_of(intersection(cross_product(w,x),y)),z,u,v),w)*. % 300.16/300.43 103607[0:Res:4776.1,16184.0] || member(u,rotate_right(cross_product(v,domain_of(intersection(cross_product(w,x),y))))) -> member(second(ordered_pair(f10(u,cross_product(v,domain_of(intersection(cross_product(w,x),y)))),ordered_pair(f11(u,cross_product(v,domain_of(intersection(cross_product(w,x),y)))),f9(u,cross_product(v,domain_of(intersection(cross_product(w,x),y))))))),w)*. % 300.16/300.43 103606[0:Res:4628.1,16184.0] || member(u,flip_range_of(cross_product(v,domain_of(intersection(cross_product(w,x),y))))) -> member(second(ordered_pair(f12(u,cross_product(v,domain_of(intersection(cross_product(w,x),y)))),ordered_pair(f14(u,cross_product(v,domain_of(intersection(cross_product(w,x),y)))),f13(u,cross_product(v,domain_of(intersection(cross_product(w,x),y))))))),w)*. % 300.16/300.43 103911[0:Res:4775.1,16416.0] || member(u,rotate_right(cross_product(domain_of(intersection(v,cross_product(w,x))),y))) -> member(first(ordered_pair(f10(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y)),ordered_pair(f11(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y)),f9(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y))))),w)*. % 300.16/300.43 103910[0:Res:4627.1,16416.0] || member(u,flip_range_of(cross_product(domain_of(intersection(v,cross_product(w,x))),y))) -> member(first(ordered_pair(f12(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y)),ordered_pair(f14(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y)),f13(u,cross_product(domain_of(intersection(v,cross_product(w,x))),y))))),w)*. % 300.16/300.43 103859[0:Res:142.3,16416.0] || closed(u,v) closed(domain_of(intersection(w,cross_product(x,y))),z) maps(x1,domain_of(intersection(w,cross_product(x,y))),u) -> homomorphism(x1,domain_of(intersection(w,cross_product(x,y))),z,u,v) member(f32(x1,domain_of(intersection(w,cross_product(x,y))),z,u,v),x)*. % 300.16/300.43 103857[0:Res:143.3,16416.0] || closed(u,v) closed(domain_of(intersection(w,cross_product(x,y))),z) maps(x1,domain_of(intersection(w,cross_product(x,y))),u) -> homomorphism(x1,domain_of(intersection(w,cross_product(x,y))),z,u,v) member(f33(x1,domain_of(intersection(w,cross_product(x,y))),z,u,v),x)*. % 300.16/300.43 103849[0:Res:4776.1,16416.0] || member(u,rotate_right(cross_product(v,domain_of(intersection(w,cross_product(x,y)))))) -> member(second(ordered_pair(f10(u,cross_product(v,domain_of(intersection(w,cross_product(x,y))))),ordered_pair(f11(u,cross_product(v,domain_of(intersection(w,cross_product(x,y))))),f9(u,cross_product(v,domain_of(intersection(w,cross_product(x,y)))))))),x)*. % 300.16/300.43 103848[0:Res:4628.1,16416.0] || member(u,flip_range_of(cross_product(v,domain_of(intersection(w,cross_product(x,y)))))) -> member(second(ordered_pair(f12(u,cross_product(v,domain_of(intersection(w,cross_product(x,y))))),ordered_pair(f14(u,cross_product(v,domain_of(intersection(w,cross_product(x,y))))),f13(u,cross_product(v,domain_of(intersection(w,cross_product(x,y)))))))),x)*. % 300.16/300.43 104156[0:Res:4775.1,17439.0] || member(u,rotate_right(cross_product(range_of(intersection(cross_product(v,w),x)),y))) -> member(first(ordered_pair(f10(u,cross_product(range_of(intersection(cross_product(v,w),x)),y)),ordered_pair(f11(u,cross_product(range_of(intersection(cross_product(v,w),x)),y)),f9(u,cross_product(range_of(intersection(cross_product(v,w),x)),y))))),w)*. % 300.16/300.43 104155[0:Res:4627.1,17439.0] || member(u,flip_range_of(cross_product(range_of(intersection(cross_product(v,w),x)),y))) -> member(first(ordered_pair(f12(u,cross_product(range_of(intersection(cross_product(v,w),x)),y)),ordered_pair(f14(u,cross_product(range_of(intersection(cross_product(v,w),x)),y)),f13(u,cross_product(range_of(intersection(cross_product(v,w),x)),y))))),w)*. % 300.16/300.43 104104[0:Res:142.3,17439.0] || closed(u,v) closed(range_of(intersection(cross_product(w,x),y)),z) maps(x1,range_of(intersection(cross_product(w,x),y)),u) -> homomorphism(x1,range_of(intersection(cross_product(w,x),y)),z,u,v) member(f32(x1,range_of(intersection(cross_product(w,x),y)),z,u,v),x)*. % 300.16/300.43 104102[0:Res:143.3,17439.0] || closed(u,v) closed(range_of(intersection(cross_product(w,x),y)),z) maps(x1,range_of(intersection(cross_product(w,x),y)),u) -> homomorphism(x1,range_of(intersection(cross_product(w,x),y)),z,u,v) member(f33(x1,range_of(intersection(cross_product(w,x),y)),z,u,v),x)*. % 300.16/300.43 104094[0:Res:4776.1,17439.0] || member(u,rotate_right(cross_product(v,range_of(intersection(cross_product(w,x),y))))) -> member(second(ordered_pair(f10(u,cross_product(v,range_of(intersection(cross_product(w,x),y)))),ordered_pair(f11(u,cross_product(v,range_of(intersection(cross_product(w,x),y)))),f9(u,cross_product(v,range_of(intersection(cross_product(w,x),y))))))),x)*. % 300.16/300.43 104093[0:Res:4628.1,17439.0] || member(u,flip_range_of(cross_product(v,range_of(intersection(cross_product(w,x),y))))) -> member(second(ordered_pair(f12(u,cross_product(v,range_of(intersection(cross_product(w,x),y)))),ordered_pair(f14(u,cross_product(v,range_of(intersection(cross_product(w,x),y)))),f13(u,cross_product(v,range_of(intersection(cross_product(w,x),y))))))),x)*. % 300.16/300.43 104433[0:Res:4775.1,17546.0] || member(u,rotate_right(cross_product(range_of(intersection(v,cross_product(w,x))),y))) -> member(first(ordered_pair(f10(u,cross_product(range_of(intersection(v,cross_product(w,x))),y)),ordered_pair(f11(u,cross_product(range_of(intersection(v,cross_product(w,x))),y)),f9(u,cross_product(range_of(intersection(v,cross_product(w,x))),y))))),x)*. % 300.16/300.43 104432[0:Res:4627.1,17546.0] || member(u,flip_range_of(cross_product(range_of(intersection(v,cross_product(w,x))),y))) -> member(first(ordered_pair(f12(u,cross_product(range_of(intersection(v,cross_product(w,x))),y)),ordered_pair(f14(u,cross_product(range_of(intersection(v,cross_product(w,x))),y)),f13(u,cross_product(range_of(intersection(v,cross_product(w,x))),y))))),x)*. % 300.16/300.43 104381[0:Res:142.3,17546.0] || closed(u,v) closed(range_of(intersection(w,cross_product(x,y))),z) maps(x1,range_of(intersection(w,cross_product(x,y))),u) -> homomorphism(x1,range_of(intersection(w,cross_product(x,y))),z,u,v) member(f32(x1,range_of(intersection(w,cross_product(x,y))),z,u,v),y)*. % 300.16/300.43 104379[0:Res:143.3,17546.0] || closed(u,v) closed(range_of(intersection(w,cross_product(x,y))),z) maps(x1,range_of(intersection(w,cross_product(x,y))),u) -> homomorphism(x1,range_of(intersection(w,cross_product(x,y))),z,u,v) member(f33(x1,range_of(intersection(w,cross_product(x,y))),z,u,v),y)*. % 300.16/300.43 104371[0:Res:4776.1,17546.0] || member(u,rotate_right(cross_product(v,range_of(intersection(w,cross_product(x,y)))))) -> member(second(ordered_pair(f10(u,cross_product(v,range_of(intersection(w,cross_product(x,y))))),ordered_pair(f11(u,cross_product(v,range_of(intersection(w,cross_product(x,y))))),f9(u,cross_product(v,range_of(intersection(w,cross_product(x,y)))))))),y)*. % 300.16/300.43 104370[0:Res:4628.1,17546.0] || member(u,flip_range_of(cross_product(v,range_of(intersection(w,cross_product(x,y)))))) -> member(second(ordered_pair(f12(u,cross_product(v,range_of(intersection(w,cross_product(x,y))))),ordered_pair(f14(u,cross_product(v,range_of(intersection(w,cross_product(x,y))))),f13(u,cross_product(v,range_of(intersection(w,cross_product(x,y)))))))),y)*. % 300.16/300.43 21246[0:Res:52.1,1421.0] || member(u,rotate_right(ordered_pair(v,w))) -> equal(ordered_pair(f10(u,ordered_pair(v,w)),ordered_pair(f11(u,ordered_pair(v,w)),f9(u,ordered_pair(v,w)))),non_ordered_pair(v,w))** equal(ordered_pair(f10(u,ordered_pair(v,w)),ordered_pair(f11(u,ordered_pair(v,w)),f9(u,ordered_pair(v,w)))),singleton_set(v)). % 300.16/300.43 21245[0:Res:58.1,1421.0] || member(u,flip_range_of(ordered_pair(v,w))) -> equal(ordered_pair(f12(u,ordered_pair(v,w)),ordered_pair(f14(u,ordered_pair(v,w)),f13(u,ordered_pair(v,w)))),non_ordered_pair(v,w))** equal(ordered_pair(f12(u,ordered_pair(v,w)),ordered_pair(f14(u,ordered_pair(v,w)),f13(u,ordered_pair(v,w)))),singleton_set(v)). % 300.16/300.43 21234[0:Res:142.3,1421.0] || closed(u,v) closed(ordered_pair(w,x),y) maps(z,ordered_pair(w,x),u) -> homomorphism(z,ordered_pair(w,x),y,u,v) equal(f32(z,ordered_pair(w,x),y,u,v),non_ordered_pair(w,x))** equal(f32(z,ordered_pair(w,x),y,u,v),singleton_set(w)). % 300.16/300.43 21233[0:Res:143.3,1421.0] || closed(u,v) closed(ordered_pair(w,x),y) maps(z,ordered_pair(w,x),u) -> homomorphism(z,ordered_pair(w,x),y,u,v) equal(f33(z,ordered_pair(w,x),y,u,v),non_ordered_pair(w,x))** equal(f33(z,ordered_pair(w,x),y,u,v),singleton_set(w)). % 300.16/300.43 28538[0:Res:142.3,3811.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) equal(z,f32(y,w,x,u,v)) member(f1(z,f32(y,w,x,u,v)),z)* member(f1(z,f32(y,w,x,u,v)),sigma(w))*. % 300.16/300.43 28537[0:Res:143.3,3811.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) equal(z,f33(y,w,x,u,v)) member(f1(z,f33(y,w,x,u,v)),z)* member(f1(z,f33(y,w,x,u,v)),sigma(w))*. % 300.16/300.43 28915[0:Res:142.3,3829.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) equal(f32(y,w,x,u,v),z) member(f1(f32(y,w,x,u,v),z),z)* member(f1(f32(y,w,x,u,v),z),sigma(w))*. % 300.16/300.43 28914[0:Res:143.3,3829.0] || closed(u,v) closed(w,x) maps(y,w,u) -> homomorphism(y,w,x,u,v) equal(f33(y,w,x,u,v),z) member(f1(f33(y,w,x,u,v),z),z)* member(f1(f33(y,w,x,u,v),z),sigma(w))*. % 300.16/300.43 33575[0:Res:6.1,1441.0] || -> equal(u,converse(non_ordered_pair(v,w))) member(f1(u,converse(non_ordered_pair(v,w))),u) equal(ordered_pair(second(f1(u,converse(non_ordered_pair(v,w)))),first(f1(u,converse(non_ordered_pair(v,w))))),w)** equal(ordered_pair(second(f1(u,converse(non_ordered_pair(v,w)))),first(f1(u,converse(non_ordered_pair(v,w))))),v)**. % 300.16/300.43 33535[0:Res:6.2,1441.0] || -> equal(converse(non_ordered_pair(u,v)),w) member(f1(converse(non_ordered_pair(u,v)),w),w) equal(ordered_pair(second(f1(converse(non_ordered_pair(u,v)),w)),first(f1(converse(non_ordered_pair(u,v)),w))),v)** equal(ordered_pair(second(f1(converse(non_ordered_pair(u,v)),w)),first(f1(converse(non_ordered_pair(u,v)),w))),u)**. % 300.16/300.43 34347[0:Res:3817.2,1437.0] || -> equal(u,cross_product(range_of(non_ordered_pair(v,w)),x)) member(f1(u,cross_product(range_of(non_ordered_pair(v,w)),x)),u)* equal(f27(first(f1(u,cross_product(range_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f27(first(f1(u,cross_product(range_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34341[0:Res:3835.2,1437.0] || -> equal(cross_product(range_of(non_ordered_pair(u,v)),w),x) member(f1(cross_product(range_of(non_ordered_pair(u,v)),w),x),x)* equal(f27(first(f1(cross_product(range_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),v)** equal(f27(first(f1(cross_product(range_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34301[0:Res:3818.2,1437.0] || -> equal(u,cross_product(v,range_of(non_ordered_pair(w,x)))) member(f1(u,cross_product(v,range_of(non_ordered_pair(w,x)))),u)* equal(f27(second(f1(u,cross_product(v,range_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f27(second(f1(u,cross_product(v,range_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34291[0:Res:3836.2,1437.0] || -> equal(cross_product(u,range_of(non_ordered_pair(v,w))),x) member(f1(cross_product(u,range_of(non_ordered_pair(v,w))),x),x)* equal(f27(second(f1(cross_product(u,range_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),w)** equal(f27(second(f1(cross_product(u,range_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34519[0:Res:3817.2,1438.0] || -> equal(u,cross_product(sigma(non_ordered_pair(v,w)),x)) member(f1(u,cross_product(sigma(non_ordered_pair(v,w)),x)),u)* equal(f16(first(f1(u,cross_product(sigma(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f16(first(f1(u,cross_product(sigma(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34513[0:Res:3835.2,1438.0] || -> equal(cross_product(sigma(non_ordered_pair(u,v)),w),x) member(f1(cross_product(sigma(non_ordered_pair(u,v)),w),x),x)* equal(f16(first(f1(cross_product(sigma(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),v)** equal(f16(first(f1(cross_product(sigma(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34473[0:Res:3818.2,1438.0] || -> equal(u,cross_product(v,sigma(non_ordered_pair(w,x)))) member(f1(u,cross_product(v,sigma(non_ordered_pair(w,x)))),u)* equal(f16(second(f1(u,cross_product(v,sigma(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f16(second(f1(u,cross_product(v,sigma(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34463[0:Res:3836.2,1438.0] || -> equal(cross_product(u,sigma(non_ordered_pair(v,w))),x) member(f1(cross_product(u,sigma(non_ordered_pair(v,w))),x),x)* equal(f16(second(f1(cross_product(u,sigma(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),w)** equal(f16(second(f1(cross_product(u,sigma(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34684[0:Res:3817.2,1439.0] || -> equal(u,cross_product(domain_of(non_ordered_pair(v,w)),x)) member(f1(u,cross_product(domain_of(non_ordered_pair(v,w)),x)),u)* equal(f8(first(f1(u,cross_product(domain_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),w)** equal(f8(first(f1(u,cross_product(domain_of(non_ordered_pair(v,w)),x))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34678[0:Res:3835.2,1439.0] || -> equal(cross_product(domain_of(non_ordered_pair(u,v)),w),x) member(f1(cross_product(domain_of(non_ordered_pair(u,v)),w),x),x)* equal(f8(first(f1(cross_product(domain_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),v)** equal(f8(first(f1(cross_product(domain_of(non_ordered_pair(u,v)),w),x)),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34638[0:Res:3818.2,1439.0] || -> equal(u,cross_product(v,domain_of(non_ordered_pair(w,x)))) member(f1(u,cross_product(v,domain_of(non_ordered_pair(w,x)))),u)* equal(f8(second(f1(u,cross_product(v,domain_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),x)** equal(f8(second(f1(u,cross_product(v,domain_of(non_ordered_pair(w,x))))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34628[0:Res:3836.2,1439.0] || -> equal(cross_product(u,domain_of(non_ordered_pair(v,w))),x) member(f1(cross_product(u,domain_of(non_ordered_pair(v,w))),x),x)* equal(f8(second(f1(cross_product(u,domain_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),w)** equal(f8(second(f1(cross_product(u,domain_of(non_ordered_pair(v,w))),x)),non_ordered_pair(v,w)),v)**. % 300.16/300.43 35314[0:Res:4273.2,3811.0] || member(u,compose(v,w)) subset(w,x) -> equal(y,ordered_pair(f31(u,v,w),f30(u,v,w))) member(f1(y,ordered_pair(f31(u,v,w),f30(u,v,w))),y)* member(f1(y,ordered_pair(f31(u,v,w),f30(u,v,w))),sigma(x))*. % 300.16/300.43 35313[0:Res:4273.2,3829.0] || member(u,compose(v,w)) subset(w,x) -> equal(ordered_pair(f31(u,v,w),f30(u,v,w)),y) member(f1(ordered_pair(f31(u,v,w),f30(u,v,w)),y),y)* member(f1(ordered_pair(f31(u,v,w),f30(u,v,w)),y),sigma(x))*. % 300.16/300.43 35434[0:Res:4348.2,3811.0] || member(u,compose(v,w)) subset(v,x) -> equal(y,ordered_pair(f29(u,v,w),f31(u,v,w))) member(f1(y,ordered_pair(f29(u,v,w),f31(u,v,w))),y)* member(f1(y,ordered_pair(f29(u,v,w),f31(u,v,w))),sigma(x))*. % 300.16/300.43 35433[0:Res:4348.2,3829.0] || member(u,compose(v,w)) subset(v,x) -> equal(ordered_pair(f29(u,v,w),f31(u,v,w)),y) member(f1(ordered_pair(f29(u,v,w),f31(u,v,w)),y),y)* member(f1(ordered_pair(f29(u,v,w),f31(u,v,w)),y),sigma(x))*. % 300.16/300.43 40282[0:Res:3817.2,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(x,cross_product(ordered_pair(f10(u,v),f11(u,v)),y)) member(f1(x,cross_product(ordered_pair(f10(u,v),f11(u,v)),y)),x)* member(first(f1(x,cross_product(ordered_pair(f10(u,v),f11(u,v)),y))),second(w))*. % 300.16/300.43 40276[0:Res:3835.2,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(ordered_pair(f10(u,v),f11(u,v)),x),y) member(f1(cross_product(ordered_pair(f10(u,v),f11(u,v)),x),y),y)* member(first(f1(cross_product(ordered_pair(f10(u,v),f11(u,v)),x),y)),second(w))*. % 300.16/300.43 40251[0:Res:3836.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(x,y),ordered_pair(f10(u,v),f11(u,v))) member(second(f1(cross_product(x,y),ordered_pair(f10(u,v),f11(u,v)))),y)* member(f1(cross_product(x,y),ordered_pair(f10(u,v),f11(u,v))),second(w))*. % 300.16/300.43 40250[0:Res:3835.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(x,y),ordered_pair(f10(u,v),f11(u,v))) member(first(f1(cross_product(x,y),ordered_pair(f10(u,v),f11(u,v)))),x)* member(f1(cross_product(x,y),ordered_pair(f10(u,v),f11(u,v))),second(w))*. % 300.16/300.43 40234[0:Res:3818.2,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(x,cross_product(y,ordered_pair(f10(u,v),f11(u,v)))) member(f1(x,cross_product(y,ordered_pair(f10(u,v),f11(u,v)))),x)* member(second(f1(x,cross_product(y,ordered_pair(f10(u,v),f11(u,v))))),second(w))*. % 300.16/300.43 40224[0:Res:3836.2,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(cross_product(x,ordered_pair(f10(u,v),f11(u,v))),y) member(f1(cross_product(x,ordered_pair(f10(u,v),f11(u,v))),y),y)* member(second(f1(cross_product(x,ordered_pair(f10(u,v),f11(u,v))),y)),second(w))*. % 300.16/300.43 40181[0:Res:3818.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(ordered_pair(f10(u,v),f11(u,v)),cross_product(x,y)) member(second(f1(ordered_pair(f10(u,v),f11(u,v)),cross_product(x,y))),y)* member(f1(ordered_pair(f10(u,v),f11(u,v)),cross_product(x,y)),second(w))*. % 300.16/300.43 40180[0:Res:3817.1,5068.1] || member(u,rotate_right(v)) equal(w,u) -> equal(ordered_pair(f10(u,v),f11(u,v)),cross_product(x,y)) member(first(f1(ordered_pair(f10(u,v),f11(u,v)),cross_product(x,y))),x)* member(f1(ordered_pair(f10(u,v),f11(u,v)),cross_product(x,y)),second(w))*. % 300.16/300.43 40462[0:Res:3817.2,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(x,cross_product(ordered_pair(f13(u,v),f14(u,v)),y)) member(f1(x,cross_product(ordered_pair(f13(u,v),f14(u,v)),y)),x)* member(first(f1(x,cross_product(ordered_pair(f13(u,v),f14(u,v)),y))),second(w))*. % 300.16/300.43 40456[0:Res:3835.2,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(ordered_pair(f13(u,v),f14(u,v)),x),y) member(f1(cross_product(ordered_pair(f13(u,v),f14(u,v)),x),y),y)* member(first(f1(cross_product(ordered_pair(f13(u,v),f14(u,v)),x),y)),second(w))*. % 300.16/300.43 40431[0:Res:3836.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(x,y),ordered_pair(f13(u,v),f14(u,v))) member(second(f1(cross_product(x,y),ordered_pair(f13(u,v),f14(u,v)))),y)* member(f1(cross_product(x,y),ordered_pair(f13(u,v),f14(u,v))),second(w))*. % 300.16/300.43 40430[0:Res:3835.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(x,y),ordered_pair(f13(u,v),f14(u,v))) member(first(f1(cross_product(x,y),ordered_pair(f13(u,v),f14(u,v)))),x)* member(f1(cross_product(x,y),ordered_pair(f13(u,v),f14(u,v))),second(w))*. % 300.16/300.43 40414[0:Res:3818.2,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(x,cross_product(y,ordered_pair(f13(u,v),f14(u,v)))) member(f1(x,cross_product(y,ordered_pair(f13(u,v),f14(u,v)))),x)* member(second(f1(x,cross_product(y,ordered_pair(f13(u,v),f14(u,v))))),second(w))*. % 300.16/300.43 40404[0:Res:3836.2,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(cross_product(x,ordered_pair(f13(u,v),f14(u,v))),y) member(f1(cross_product(x,ordered_pair(f13(u,v),f14(u,v))),y),y)* member(second(f1(cross_product(x,ordered_pair(f13(u,v),f14(u,v))),y)),second(w))*. % 300.16/300.43 40361[0:Res:3818.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(ordered_pair(f13(u,v),f14(u,v)),cross_product(x,y)) member(second(f1(ordered_pair(f13(u,v),f14(u,v)),cross_product(x,y))),y)* member(f1(ordered_pair(f13(u,v),f14(u,v)),cross_product(x,y)),second(w))*. % 300.16/300.43 40360[0:Res:3817.1,5070.1] || member(u,flip_range_of(v)) equal(w,u) -> equal(ordered_pair(f13(u,v),f14(u,v)),cross_product(x,y)) member(first(f1(ordered_pair(f13(u,v),f14(u,v)),cross_product(x,y))),x)* member(f1(ordered_pair(f13(u,v),f14(u,v)),cross_product(x,y)),second(w))*. % 300.16/300.43 40537[3:Res:384.1,6235.0] little_set(second(f17(u,cross_product(v,intersection(complement(w),complement(x)))))) || member(first(f17(u,cross_product(v,intersection(complement(w),complement(x))))),v)* -> member(second(f17(u,cross_product(v,intersection(complement(w),complement(x))))),union(w,x))* subset(u,cross_product(v,intersection(complement(w),complement(x)))). % 300.16/300.43 41224[0:Res:4286.1,1009.0] || member(u,compose(v,intersection(w,converse(x)))) subset(x,y) -> member(ordered_pair(second(ordered_pair(f31(u,v,intersection(w,converse(x))),f30(u,v,intersection(w,converse(x))))),first(ordered_pair(f31(u,v,intersection(w,converse(x))),f30(u,v,intersection(w,converse(x)))))),y)*. % 300.16/300.43 41222[0:Res:4286.1,8.0] || member(u,compose(v,intersection(w,non_ordered_pair(x,y)))) -> equal(ordered_pair(f31(u,v,intersection(w,non_ordered_pair(x,y))),f30(u,v,intersection(w,non_ordered_pair(x,y)))),y)** equal(ordered_pair(f31(u,v,intersection(w,non_ordered_pair(x,y))),f30(u,v,intersection(w,non_ordered_pair(x,y)))),x)**. % 300.16/300.43 41463[0:Res:4285.1,1009.0] || member(u,compose(v,intersection(converse(w),x))) subset(w,y) -> member(ordered_pair(second(ordered_pair(f31(u,v,intersection(converse(w),x)),f30(u,v,intersection(converse(w),x)))),first(ordered_pair(f31(u,v,intersection(converse(w),x)),f30(u,v,intersection(converse(w),x))))),y)*. % 300.16/300.43 41461[0:Res:4285.1,8.0] || member(u,compose(v,intersection(non_ordered_pair(w,x),y))) -> equal(ordered_pair(f31(u,v,intersection(non_ordered_pair(w,x),y)),f30(u,v,intersection(non_ordered_pair(w,x),y))),x)** equal(ordered_pair(f31(u,v,intersection(non_ordered_pair(w,x),y)),f30(u,v,intersection(non_ordered_pair(w,x),y))),w)**. % 300.16/300.43 41601[0:Res:4361.1,1009.0] || member(u,compose(intersection(v,converse(w)),x)) subset(w,y) -> member(ordered_pair(second(ordered_pair(f29(u,intersection(v,converse(w)),x),f31(u,intersection(v,converse(w)),x))),first(ordered_pair(f29(u,intersection(v,converse(w)),x),f31(u,intersection(v,converse(w)),x)))),y)*. % 300.16/300.43 41599[0:Res:4361.1,8.0] || member(u,compose(intersection(v,non_ordered_pair(w,x)),y)) -> equal(ordered_pair(f29(u,intersection(v,non_ordered_pair(w,x)),y),f31(u,intersection(v,non_ordered_pair(w,x)),y)),x)** equal(ordered_pair(f29(u,intersection(v,non_ordered_pair(w,x)),y),f31(u,intersection(v,non_ordered_pair(w,x)),y)),w)**. % 300.16/300.43 41723[0:Res:4360.1,1009.0] || member(u,compose(intersection(converse(v),w),x)) subset(v,y) -> member(ordered_pair(second(ordered_pair(f29(u,intersection(converse(v),w),x),f31(u,intersection(converse(v),w),x))),first(ordered_pair(f29(u,intersection(converse(v),w),x),f31(u,intersection(converse(v),w),x)))),y)*. % 300.16/300.43 41721[0:Res:4360.1,8.0] || member(u,compose(intersection(non_ordered_pair(v,w),x),y)) -> equal(ordered_pair(f29(u,intersection(non_ordered_pair(v,w),x),y),f31(u,intersection(non_ordered_pair(v,w),x),y)),w)** equal(ordered_pair(f29(u,intersection(non_ordered_pair(v,w),x),y),f31(u,intersection(non_ordered_pair(v,w),x),y)),v)**. % 300.16/300.43 42080[3:Res:3817.2,6212.0] || member(u,v) equal(first(u),w) -> equal(x,cross_product(converse(second(u)),y)) member(f1(x,cross_product(converse(second(u)),y)),x) member(ordered_pair(second(first(f1(x,cross_product(converse(second(u)),y)))),first(first(f1(x,cross_product(converse(second(u)),y))))),apply(v,w))*. % 300.16/300.43 42074[3:Res:3835.2,6212.0] || member(u,v) equal(first(u),w) -> equal(cross_product(converse(second(u)),x),y) member(f1(cross_product(converse(second(u)),x),y),y) member(ordered_pair(second(first(f1(cross_product(converse(second(u)),x),y))),first(first(f1(cross_product(converse(second(u)),x),y)))),apply(v,w))*. % 300.16/300.43 42066[3:Res:288.1,6212.0] || member(u,v) equal(first(u),w) -> single_valued_set(intersection(converse(second(u)),x)) member(ordered_pair(second(ordered_pair(f19(intersection(converse(second(u)),x)),f20(intersection(converse(second(u)),x)))),first(ordered_pair(f19(intersection(converse(second(u)),x)),f20(intersection(converse(second(u)),x))))),apply(v,w))*. % 300.16/300.43 42065[3:Res:287.1,6212.0] || member(u,v) equal(first(u),w) -> single_valued_set(intersection(converse(second(u)),x)) member(ordered_pair(second(ordered_pair(f19(intersection(converse(second(u)),x)),f21(intersection(converse(second(u)),x)))),first(ordered_pair(f19(intersection(converse(second(u)),x)),f21(intersection(converse(second(u)),x))))),apply(v,w))*. % 300.16/300.43 42056[3:Res:280.1,6212.0] || member(u,v) equal(first(u),w) -> single_valued_set(intersection(x,converse(second(u)))) member(ordered_pair(second(ordered_pair(f19(intersection(x,converse(second(u)))),f20(intersection(x,converse(second(u)))))),first(ordered_pair(f19(intersection(x,converse(second(u)))),f20(intersection(x,converse(second(u))))))),apply(v,w))*. % 300.16/300.43 42055[3:Res:279.1,6212.0] || member(u,v) equal(first(u),w) -> single_valued_set(intersection(x,converse(second(u)))) member(ordered_pair(second(ordered_pair(f19(intersection(x,converse(second(u)))),f21(intersection(x,converse(second(u)))))),first(ordered_pair(f19(intersection(x,converse(second(u)))),f21(intersection(x,converse(second(u))))))),apply(v,w))*. % 300.16/300.43 42029[3:Res:3818.2,6212.0] || member(u,v) equal(first(u),w) -> equal(x,cross_product(y,converse(second(u)))) member(f1(x,cross_product(y,converse(second(u)))),x) member(ordered_pair(second(second(f1(x,cross_product(y,converse(second(u)))))),first(second(f1(x,cross_product(y,converse(second(u))))))),apply(v,w))*. % 300.16/300.43 42019[3:Res:3836.2,6212.0] || member(u,v) equal(first(u),w) -> equal(cross_product(x,converse(second(u))),y) member(f1(cross_product(x,converse(second(u))),y),y) member(ordered_pair(second(second(f1(cross_product(x,converse(second(u))),y))),first(second(f1(cross_product(x,converse(second(u))),y)))),apply(v,w))*. % 300.16/300.43 42977[0:Res:1556.1,1442.0] || member(u,image(intersection(v,apply(non_ordered_pair(w,x),y)),z)) -> equal(f28(first(f22(u,intersection(v,apply(non_ordered_pair(w,x),y)),z)),non_ordered_pair(w,x),y),x)** equal(f28(first(f22(u,intersection(v,apply(non_ordered_pair(w,x),y)),z)),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42976[0:Res:1344.1,1442.0] || member(u,image(v,cross_product(apply(non_ordered_pair(w,x),y),z))) -> equal(f28(first(f22(u,v,cross_product(apply(non_ordered_pair(w,x),y),z))),non_ordered_pair(w,x),y),x)** equal(f28(first(f22(u,v,cross_product(apply(non_ordered_pair(w,x),y),z))),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42973[0:Res:1555.1,1442.0] || member(u,image(intersection(apply(non_ordered_pair(v,w),x),y),z)) -> equal(f28(first(f22(u,intersection(apply(non_ordered_pair(v,w),x),y),z)),non_ordered_pair(v,w),x),w)** equal(f28(first(f22(u,intersection(apply(non_ordered_pair(v,w),x),y),z)),non_ordered_pair(v,w),x),v)**. % 300.16/300.43 42921[0:Res:1280.1,1442.0] || member(u,apply(cross_product(v,apply(non_ordered_pair(w,x),y)),z)) -> equal(f28(second(f28(u,cross_product(v,apply(non_ordered_pair(w,x),y)),z)),non_ordered_pair(w,x),y),x)** equal(f28(second(f28(u,cross_product(v,apply(non_ordered_pair(w,x),y)),z)),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42904[0:Res:3839.1,1442.0] || -> equal(powerset(u),apply(non_ordered_pair(v,w),x)) subset(f1(powerset(u),apply(non_ordered_pair(v,w),x)),u)* equal(f28(f1(powerset(u),apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),w)** equal(f28(f1(powerset(u),apply(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x),v)**. % 300.16/300.43 42864[0:Res:3821.1,1442.0] || -> equal(apply(non_ordered_pair(u,v),w),powerset(x)) subset(f1(apply(non_ordered_pair(u,v),w),powerset(x)),x)* equal(f28(f1(apply(non_ordered_pair(u,v),w),powerset(x)),non_ordered_pair(u,v),w),v)** equal(f28(f1(apply(non_ordered_pair(u,v),w),powerset(x)),non_ordered_pair(u,v),w),u)**. % 300.16/300.43 43154[0:Res:1556.1,1443.0] || member(u,image(intersection(v,image(w,non_ordered_pair(x,y))),z)) -> equal(f22(first(f22(u,intersection(v,image(w,non_ordered_pair(x,y))),z)),w,non_ordered_pair(x,y)),y)** equal(f22(first(f22(u,intersection(v,image(w,non_ordered_pair(x,y))),z)),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43153[0:Res:1344.1,1443.0] || member(u,image(v,cross_product(image(w,non_ordered_pair(x,y)),z))) -> equal(f22(first(f22(u,v,cross_product(image(w,non_ordered_pair(x,y)),z))),w,non_ordered_pair(x,y)),y)** equal(f22(first(f22(u,v,cross_product(image(w,non_ordered_pair(x,y)),z))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43150[0:Res:1555.1,1443.0] || member(u,image(intersection(image(v,non_ordered_pair(w,x)),y),z)) -> equal(f22(first(f22(u,intersection(image(v,non_ordered_pair(w,x)),y),z)),v,non_ordered_pair(w,x)),x)** equal(f22(first(f22(u,intersection(image(v,non_ordered_pair(w,x)),y),z)),v,non_ordered_pair(w,x)),w)**. % 300.16/300.43 43098[0:Res:1280.1,1443.0] || member(u,apply(cross_product(v,image(w,non_ordered_pair(x,y))),z)) -> equal(f22(second(f28(u,cross_product(v,image(w,non_ordered_pair(x,y))),z)),w,non_ordered_pair(x,y)),y)** equal(f22(second(f28(u,cross_product(v,image(w,non_ordered_pair(x,y))),z)),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43081[0:Res:3839.1,1443.0] || -> equal(powerset(u),image(v,non_ordered_pair(w,x))) subset(f1(powerset(u),image(v,non_ordered_pair(w,x))),u)* equal(f22(f1(powerset(u),image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),x)** equal(f22(f1(powerset(u),image(v,non_ordered_pair(w,x))),v,non_ordered_pair(w,x)),w)**. % 300.16/300.43 43041[0:Res:3821.1,1443.0] || -> equal(image(u,non_ordered_pair(v,w)),powerset(x)) subset(f1(image(u,non_ordered_pair(v,w)),powerset(x)),x)* equal(f22(f1(image(u,non_ordered_pair(v,w)),powerset(x)),u,non_ordered_pair(v,w)),w)** equal(f22(f1(image(u,non_ordered_pair(v,w)),powerset(x)),u,non_ordered_pair(v,w)),v)**. % 300.16/300.43 44044[0:MRR:43993.1,43993.2,85.1,83.1] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(u,f21(non_ordered_pair(w,x))),y)* member(ordered_pair(f19(non_ordered_pair(w,x)),u),z)* -> single_valued_set(non_ordered_pair(w,x)) equal(ordered_pair(f19(non_ordered_pair(w,x)),f21(non_ordered_pair(w,x))),x)** member(v,compose(z,y))*. % 300.16/300.43 44045[0:MRR:43979.1,43979.2,85.1,83.1] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(u,f21(non_ordered_pair(x,w))),y)* member(ordered_pair(f19(non_ordered_pair(x,w)),u),z)* -> single_valued_set(non_ordered_pair(x,w)) equal(ordered_pair(f19(non_ordered_pair(x,w)),f21(non_ordered_pair(x,w))),x)** member(v,compose(z,y))*. % 300.16/300.43 44188[0:MRR:44137.1,44137.2,84.1,83.1] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(u,f20(non_ordered_pair(w,x))),y)* member(ordered_pair(f19(non_ordered_pair(w,x)),u),z)* -> single_valued_set(non_ordered_pair(w,x)) equal(ordered_pair(f19(non_ordered_pair(w,x)),f20(non_ordered_pair(w,x))),x)** member(v,compose(z,y))*. % 300.16/300.43 44189[0:MRR:44123.1,44123.2,84.1,83.1] little_set(u) little_set(v) || equal(v,w)* member(ordered_pair(u,f20(non_ordered_pair(x,w))),y)* member(ordered_pair(f19(non_ordered_pair(x,w)),u),z)* -> single_valued_set(non_ordered_pair(x,w)) equal(ordered_pair(f19(non_ordered_pair(x,w)),f20(non_ordered_pair(x,w))),x)** member(v,compose(z,y))*. % 300.16/300.43 47326[0:Res:1464.2,1558.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(image(non_ordered_pair(x,y),z))) -> equal(first(f22(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y),z)),y)** equal(first(f22(ordered_pair(second(f28(u,v,w)),w),non_ordered_pair(x,y),z)),x)**. % 300.16/300.43 47325[0:Res:1468.2,1558.0] || member(u,image(v,w)) member(f22(u,v,w),converse(image(non_ordered_pair(x,y),z))) -> equal(first(f22(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y),z)),y)** equal(first(f22(ordered_pair(u,first(f22(u,v,w))),non_ordered_pair(x,y),z)),x)**. % 300.16/300.43 47324[0:Res:4348.2,1558.0] || member(u,compose(v,w)) subset(v,image(non_ordered_pair(x,y),z)) -> equal(first(f22(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y),z)),y)** equal(first(f22(ordered_pair(f29(u,v,w),f31(u,v,w)),non_ordered_pair(x,y),z)),x)**. % 300.16/300.43 47322[0:Res:4273.2,1558.0] || member(u,compose(v,w)) subset(w,image(non_ordered_pair(x,y),z)) -> equal(first(f22(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y),z)),y)** equal(first(f22(ordered_pair(f31(u,v,w),f30(u,v,w)),non_ordered_pair(x,y),z)),x)**. % 300.16/300.43 47318[0:Res:1351.1,1558.0] || member(u,image(v,intersection(w,image(non_ordered_pair(x,y),z)))) -> equal(first(f22(f22(u,v,intersection(w,image(non_ordered_pair(x,y),z))),non_ordered_pair(x,y),z)),y)** equal(first(f22(f22(u,v,intersection(w,image(non_ordered_pair(x,y),z))),non_ordered_pair(x,y),z)),x)**. % 300.16/300.43 47267[0:Res:1286.1,1558.0] || member(u,apply(intersection(v,image(non_ordered_pair(w,x),y)),z)) -> equal(first(f22(f28(u,intersection(v,image(non_ordered_pair(w,x),y)),z),non_ordered_pair(w,x),y)),x)** equal(first(f22(f28(u,intersection(v,image(non_ordered_pair(w,x),y)),z),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47257[0:Res:1350.1,1558.0] || member(u,image(v,intersection(image(non_ordered_pair(w,x),y),z))) -> equal(first(f22(f22(u,v,intersection(image(non_ordered_pair(w,x),y),z)),non_ordered_pair(w,x),y)),x)** equal(first(f22(f22(u,v,intersection(image(non_ordered_pair(w,x),y),z)),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47234[0:Res:1285.1,1558.0] || member(u,apply(intersection(image(non_ordered_pair(v,w),x),y),z)) -> equal(first(f22(f28(u,intersection(image(non_ordered_pair(v,w),x),y),z),non_ordered_pair(v,w),x)),w)** equal(first(f22(f28(u,intersection(image(non_ordered_pair(v,w),x),y),z),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47192[0:Res:86.1,1558.0] || -> single_valued_set(image(non_ordered_pair(u,v),w)) equal(first(f22(ordered_pair(f19(image(non_ordered_pair(u,v),w)),f20(image(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w)),v)** equal(first(f22(ordered_pair(f19(image(non_ordered_pair(u,v),w)),f20(image(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 47191[0:Res:87.1,1558.0] || -> single_valued_set(image(non_ordered_pair(u,v),w)) equal(first(f22(ordered_pair(f19(image(non_ordered_pair(u,v),w)),f21(image(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w)),v)** equal(first(f22(ordered_pair(f19(image(non_ordered_pair(u,v),w)),f21(image(non_ordered_pair(u,v),w))),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 64054[3:Res:378.3,18198.1] ordered_pair_predicate(second(ordered_pair(second(u),first(u)))) ordered_pair_predicate(u) || member(second(second(ordered_pair(second(u),first(u)))),v)* member(first(second(ordered_pair(second(u),first(u)))),w)* member(first(ordered_pair(second(u),first(u))),x)* -> member(u,converse(cross_product(x,cross_product(w,v))))*. % 300.16/300.43 65351[0:Res:1008.2,5227.3] little_set(first(f27(f31(u,v,w),x))) single_valued_set(w) || member(f31(u,v,w),range_of(x)) member(f27(f31(u,v,w),x),converse(w))* member(u,compose(v,w)) -> equal(first(f27(f31(u,v,w),x)),f30(u,v,w)). % 300.16/300.43 65347[0:Res:3651.2,5227.3] little_set(u) single_valued_set(restrict(v,w)) || member(ordered_pair(f31(x,y,restrict(v,w)),u),cross_product(w,universal_set))* member(ordered_pair(f31(x,y,restrict(v,w)),u),v)* member(x,compose(y,restrict(v,w))) -> equal(u,f30(x,y,restrict(v,w))). % 300.16/300.43 65379[3:SSi:65334.0,5742.0,371.1] little_set(u) single_valued_set(cross_product(v,w)) || member(second(ordered_pair(f31(x,y,cross_product(v,w)),u)),w)* member(first(ordered_pair(f31(x,y,cross_product(v,w)),u)),v)* member(x,compose(y,cross_product(v,w))) -> equal(u,f30(x,y,cross_product(v,w))). % 300.16/300.43 65566[0:Res:1008.2,5228.3] little_set(first(f27(f29(u,v,w),x))) single_valued_set(v) || member(f29(u,v,w),range_of(x)) member(f27(f29(u,v,w),x),converse(v))* member(u,compose(v,w)) -> equal(first(f27(f29(u,v,w),x)),f31(u,v,w)). % 300.16/300.43 65562[0:Res:3651.2,5228.3] little_set(u) single_valued_set(restrict(v,w)) || member(ordered_pair(f29(x,restrict(v,w),y),u),cross_product(w,universal_set))* member(ordered_pair(f29(x,restrict(v,w),y),u),v)* member(x,compose(restrict(v,w),y)) -> equal(u,f31(x,restrict(v,w),y)). % 300.16/300.43 65596[3:SSi:65549.0,5742.0,371.1] little_set(u) single_valued_set(cross_product(v,w)) || member(second(ordered_pair(f29(x,cross_product(v,w),y),u)),w)* member(first(ordered_pair(f29(x,cross_product(v,w),y),u)),v)* member(x,compose(cross_product(v,w),y)) -> equal(u,f31(x,cross_product(v,w),y)). % 300.16/300.43 66079[0:Res:33.2,5230.3] little_set(u) single_valued_set(intersection(v,w)) || member(ordered_pair(f10(x,intersection(v,w)),u),w)* member(ordered_pair(f10(x,intersection(v,w)),u),v)* member(x,rotate_right(intersection(v,w))) -> equal(u,ordered_pair(f11(x,intersection(v,w)),f9(x,intersection(v,w))))*. % 300.16/300.43 66175[0:Res:33.2,5232.3] little_set(u) single_valued_set(intersection(v,w)) || member(ordered_pair(f12(x,intersection(v,w)),u),w)* member(ordered_pair(f12(x,intersection(v,w)),u),v)* member(x,flip_range_of(intersection(v,w))) -> equal(u,ordered_pair(f14(x,intersection(v,w)),f13(x,intersection(v,w))))*. % 300.16/300.43 66931[3:Res:1464.2,8204.3] little_set(second(f28(u,v,f3(w)))) little_set(x) || member(u,apply(v,f3(w))) member(f28(u,v,f3(w)),converse(y))* equal(x,w)* member(ordered_pair(f2(w),second(f28(u,v,f3(w)))),z)* -> member(x,compose(z,y))*. % 300.16/300.43 67196[0:Res:3651.2,5361.3] little_set(u) || member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),cross_product(x,universal_set))* member(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w))),y)* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(restrict(y,x)))*. % 300.16/300.43 67228[3:SSi:67178.0,5742.0,371.0,371.1] little_set(u) || member(second(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w)))),x)* member(first(ordered_pair(f10(v,w),ordered_pair(f11(v,w),f9(v,w)))),y)* member(v,rotate_right(w)) equal(u,v)* -> member(u,rotate_right(cross_product(y,x)))*. % 300.16/300.43 67283[0:Res:3651.2,5362.3] little_set(u) || member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),cross_product(x,universal_set))* member(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w))),y)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(restrict(y,x)))*. % 300.16/300.43 67305[3:SSi:67265.0,5742.0,371.0,371.1] little_set(u) || member(second(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w)))),x)* member(first(ordered_pair(f13(v,w),ordered_pair(f14(v,w),f12(v,w)))),y)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,rotate_right(cross_product(y,x)))*. % 300.16/300.43 67348[0:Res:3651.2,6056.3] little_set(u) || member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),cross_product(x,universal_set))* member(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w))),y)* member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(restrict(y,x)))*. % 300.16/300.43 67371[3:SSi:67330.0,5742.0,371.0,371.1] little_set(u) || member(second(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w)))),x)* member(first(ordered_pair(f9(v,w),ordered_pair(f11(v,w),f10(v,w)))),y)* member(v,rotate_right(w)) equal(u,v)* -> member(u,flip_range_of(cross_product(y,x)))*. % 300.16/300.43 67408[0:Res:3651.2,6057.3] little_set(u) || member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),cross_product(x,universal_set))* member(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w))),y)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(restrict(y,x)))*. % 300.16/300.43 67441[3:SSi:67390.0,5742.0,371.0,371.1] little_set(u) || member(second(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w)))),x)* member(first(ordered_pair(f12(v,w),ordered_pair(f14(v,w),f13(v,w)))),y)* member(v,flip_range_of(w)) equal(u,v)* -> member(u,flip_range_of(cross_product(y,x)))*. % 300.16/300.43 70988[0:Res:3651.2,6080.4] little_set(u) little_set(v) || member(ordered_pair(u,f5(w,x)),cross_product(y,universal_set))* member(ordered_pair(u,f5(w,x)),z)* member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),x1)* -> member(v,compose(x1,restrict(z,y)))*. % 300.16/300.43 71015[3:SSi:70970.0,5742.0,371.1] little_set(u) little_set(v) || member(second(ordered_pair(u,f5(w,x))),y)* member(first(ordered_pair(u,f5(w,x))),z)* member(w,first(x)) equal(v,x)* member(ordered_pair(f4(w,x),u),x1)* -> member(v,compose(x1,cross_product(z,y)))*. % 300.16/300.43 71059[0:Res:3651.2,6081.4] little_set(u) little_set(v) || member(ordered_pair(u,f7(w,x)),cross_product(y,universal_set))* member(ordered_pair(u,f7(w,x)),z)* member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),x1)* -> member(v,compose(x1,restrict(z,y)))*. % 300.16/300.43 71086[3:SSi:71041.0,5742.0,371.1] little_set(u) little_set(v) || member(second(ordered_pair(u,f7(w,x))),y)* member(first(ordered_pair(u,f7(w,x))),z)* member(w,second(x)) equal(v,x)* member(ordered_pair(f6(w,x),u),x1)* -> member(v,compose(x1,cross_product(z,y)))*. % 300.16/300.43 71418[0:Res:5263.4,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(cross_product(x,f3(u)),y) maps(z,cross_product(x,f3(u)),v) equal(x1,u) -> homomorphism(z,cross_product(x,f3(u)),y,v,w) member(second(f33(z,cross_product(x,f3(u)),y,v,w)),second(x1))*. % 300.16/300.43 71417[0:Res:5263.4,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(cross_product(x,f2(u)),y) maps(z,cross_product(x,f2(u)),v) equal(x1,u) -> homomorphism(z,cross_product(x,f2(u)),y,v,w) member(second(f33(z,cross_product(x,f2(u)),y,v,w)),first(x1))*. % 300.16/300.43 71389[0:Res:5263.4,547.0] || closed(u,v) closed(cross_product(w,range_of(cross_product(x,y))),z) maps(x1,cross_product(w,range_of(cross_product(x,y))),u) -> homomorphism(x1,cross_product(w,range_of(cross_product(x,y))),z,u,v) member(second(f33(x1,cross_product(w,range_of(cross_product(x,y))),z,u,v)),y)*. % 300.16/300.43 71387[0:Res:5263.4,560.0] || closed(u,v) closed(cross_product(w,domain_of(cross_product(x,y))),z) maps(x1,cross_product(w,domain_of(cross_product(x,y))),u) -> homomorphism(x1,cross_product(w,domain_of(cross_product(x,y))),z,u,v) member(second(f33(x1,cross_product(w,domain_of(cross_product(x,y))),z,u,v)),x)*. % 300.16/300.43 71523[0:Res:5262.4,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(cross_product(f3(u),x),y) maps(z,cross_product(f3(u),x),v) equal(x1,u) -> homomorphism(z,cross_product(f3(u),x),y,v,w) member(first(f33(z,cross_product(f3(u),x),y,v,w)),second(x1))*. % 300.16/300.43 71522[0:Res:5262.4,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(cross_product(f2(u),x),y) maps(z,cross_product(f2(u),x),v) equal(x1,u) -> homomorphism(z,cross_product(f2(u),x),y,v,w) member(first(f33(z,cross_product(f2(u),x),y,v,w)),first(x1))*. % 300.16/300.43 71494[0:Res:5262.4,547.0] || closed(u,v) closed(cross_product(range_of(cross_product(w,x)),y),z) maps(x1,cross_product(range_of(cross_product(w,x)),y),u) -> homomorphism(x1,cross_product(range_of(cross_product(w,x)),y),z,u,v) member(first(f33(x1,cross_product(range_of(cross_product(w,x)),y),z,u,v)),x)*. % 300.16/300.43 71492[0:Res:5262.4,560.0] || closed(u,v) closed(cross_product(domain_of(cross_product(w,x)),y),z) maps(x1,cross_product(domain_of(cross_product(w,x)),y),u) -> homomorphism(x1,cross_product(domain_of(cross_product(w,x)),y),z,u,v) member(first(f33(x1,cross_product(domain_of(cross_product(w,x)),y),z,u,v)),w)*. % 300.16/300.43 71669[0:Res:5308.4,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(cross_product(x,f3(u)),y) maps(z,cross_product(x,f3(u)),v) equal(x1,u) -> homomorphism(z,cross_product(x,f3(u)),y,v,w) member(second(f32(z,cross_product(x,f3(u)),y,v,w)),second(x1))*. % 300.16/300.43 71668[0:Res:5308.4,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(cross_product(x,f2(u)),y) maps(z,cross_product(x,f2(u)),v) equal(x1,u) -> homomorphism(z,cross_product(x,f2(u)),y,v,w) member(second(f32(z,cross_product(x,f2(u)),y,v,w)),first(x1))*. % 300.16/300.43 71640[0:Res:5308.4,547.0] || closed(u,v) closed(cross_product(w,range_of(cross_product(x,y))),z) maps(x1,cross_product(w,range_of(cross_product(x,y))),u) -> homomorphism(x1,cross_product(w,range_of(cross_product(x,y))),z,u,v) member(second(f32(x1,cross_product(w,range_of(cross_product(x,y))),z,u,v)),y)*. % 300.16/300.43 71638[0:Res:5308.4,560.0] || closed(u,v) closed(cross_product(w,domain_of(cross_product(x,y))),z) maps(x1,cross_product(w,domain_of(cross_product(x,y))),u) -> homomorphism(x1,cross_product(w,domain_of(cross_product(x,y))),z,u,v) member(second(f32(x1,cross_product(w,domain_of(cross_product(x,y))),z,u,v)),x)*. % 300.16/300.43 71922[0:Res:5307.4,5063.1] ordered_pair_predicate(u) || closed(v,w) closed(cross_product(f3(u),x),y) maps(z,cross_product(f3(u),x),v) equal(x1,u) -> homomorphism(z,cross_product(f3(u),x),y,v,w) member(first(f32(z,cross_product(f3(u),x),y,v,w)),second(x1))*. % 300.16/300.43 71921[0:Res:5307.4,5018.1] ordered_pair_predicate(u) || closed(v,w) closed(cross_product(f2(u),x),y) maps(z,cross_product(f2(u),x),v) equal(x1,u) -> homomorphism(z,cross_product(f2(u),x),y,v,w) member(first(f32(z,cross_product(f2(u),x),y,v,w)),first(x1))*. % 300.16/300.43 71893[0:Res:5307.4,547.0] || closed(u,v) closed(cross_product(range_of(cross_product(w,x)),y),z) maps(x1,cross_product(range_of(cross_product(w,x)),y),u) -> homomorphism(x1,cross_product(range_of(cross_product(w,x)),y),z,u,v) member(first(f32(x1,cross_product(range_of(cross_product(w,x)),y),z,u,v)),x)*. % 300.16/300.43 71891[0:Res:5307.4,560.0] || closed(u,v) closed(cross_product(domain_of(cross_product(w,x)),y),z) maps(x1,cross_product(domain_of(cross_product(w,x)),y),u) -> homomorphism(x1,cross_product(domain_of(cross_product(w,x)),y),z,u,v) member(first(f32(x1,cross_product(domain_of(cross_product(w,x)),y),z,u,v)),w)*. % 300.16/300.43 73546[16:Res:55061.3,4280.0] little_set(u) || subset(u,compose(v,non_ordered_pair(w,x))) -> equal(u,a) equal(ordered_pair(f31(f26(u),v,non_ordered_pair(w,x)),f30(f26(u),v,non_ordered_pair(w,x))),x)** equal(ordered_pair(f31(f26(u),v,non_ordered_pair(w,x)),f30(f26(u),v,non_ordered_pair(w,x))),w)**. % 300.16/300.43 73761[16:Res:55061.3,4355.0] little_set(u) || subset(u,compose(non_ordered_pair(v,w),x)) -> equal(u,a) equal(ordered_pair(f29(f26(u),non_ordered_pair(v,w),x),f31(f26(u),non_ordered_pair(v,w),x)),w)** equal(ordered_pair(f29(f26(u),non_ordered_pair(v,w),x),f31(f26(u),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 73966[0:Res:5054.3,6082.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,f30(y,z,x1)),u)* member(y,compose(z,x1)) equal(x,y)* member(ordered_pair(f29(y,z,x1),w),x2)* -> member(x,compose(x2,second(ordered_pair(v,u))))*. % 300.16/300.43 73965[0:Res:5009.3,6082.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,f30(y,z,x1)),v)* member(y,compose(z,x1)) equal(x,y)* member(ordered_pair(f29(y,z,x1),w),x2)* -> member(x,compose(x2,first(ordered_pair(v,u))))*. % 300.16/300.43 89541[0:Res:5315.4,43745.1] || closed(u,v) closed(intersection(w,flip_range_of(complement(flip_range_of(x)))),y) maps(z,intersection(w,flip_range_of(complement(flip_range_of(x)))),u) member(f32(z,intersection(w,flip_range_of(complement(flip_range_of(x)))),y,u,v),x)* -> homomorphism(z,intersection(w,flip_range_of(complement(flip_range_of(x)))),y,u,v). % 300.16/300.43 89540[0:Res:5270.4,43745.1] || closed(u,v) closed(intersection(w,flip_range_of(complement(flip_range_of(x)))),y) maps(z,intersection(w,flip_range_of(complement(flip_range_of(x)))),u) member(f33(z,intersection(w,flip_range_of(complement(flip_range_of(x)))),y,u,v),x)* -> homomorphism(z,intersection(w,flip_range_of(complement(flip_range_of(x)))),y,u,v). % 300.16/300.43 89465[0:Res:5314.4,43745.1] || closed(u,v) closed(intersection(flip_range_of(complement(flip_range_of(w))),x),y) maps(z,intersection(flip_range_of(complement(flip_range_of(w))),x),u) member(f32(z,intersection(flip_range_of(complement(flip_range_of(w))),x),y,u,v),w)* -> homomorphism(z,intersection(flip_range_of(complement(flip_range_of(w))),x),y,u,v). % 300.16/300.43 89463[0:Res:5269.4,43745.1] || closed(u,v) closed(intersection(flip_range_of(complement(flip_range_of(w))),x),y) maps(z,intersection(flip_range_of(complement(flip_range_of(w))),x),u) member(f33(z,intersection(flip_range_of(complement(flip_range_of(w))),x),y,u,v),w)* -> homomorphism(z,intersection(flip_range_of(complement(flip_range_of(w))),x),y,u,v). % 300.16/300.43 92737[0:Res:5315.4,19261.0] || closed(u,v) closed(intersection(w,sigma(intersection(x,y))),z) maps(x1,intersection(w,sigma(intersection(x,y))),u) -> homomorphism(x1,intersection(w,sigma(intersection(x,y))),z,u,v) member(f32(x1,intersection(w,sigma(intersection(x,y))),z,u,v),sigma(x))*. % 300.16/300.43 92736[0:Res:5270.4,19261.0] || closed(u,v) closed(intersection(w,sigma(intersection(x,y))),z) maps(x1,intersection(w,sigma(intersection(x,y))),u) -> homomorphism(x1,intersection(w,sigma(intersection(x,y))),z,u,v) member(f33(x1,intersection(w,sigma(intersection(x,y))),z,u,v),sigma(x))*. % 300.16/300.43 92641[0:Res:5314.4,19261.0] || closed(u,v) closed(intersection(sigma(intersection(w,x)),y),z) maps(x1,intersection(sigma(intersection(w,x)),y),u) -> homomorphism(x1,intersection(sigma(intersection(w,x)),y),z,u,v) member(f32(x1,intersection(sigma(intersection(w,x)),y),z,u,v),sigma(w))*. % 300.16/300.43 92639[0:Res:5269.4,19261.0] || closed(u,v) closed(intersection(sigma(intersection(w,x)),y),z) maps(x1,intersection(sigma(intersection(w,x)),y),u) -> homomorphism(x1,intersection(sigma(intersection(w,x)),y),z,u,v) member(f33(x1,intersection(sigma(intersection(w,x)),y),z,u,v),sigma(w))*. % 300.16/300.43 92939[0:Res:5315.4,19263.0] || closed(u,v) closed(intersection(w,sigma(intersection(x,y))),z) maps(x1,intersection(w,sigma(intersection(x,y))),u) -> homomorphism(x1,intersection(w,sigma(intersection(x,y))),z,u,v) member(f32(x1,intersection(w,sigma(intersection(x,y))),z,u,v),sigma(y))*. % 300.16/300.43 92938[0:Res:5270.4,19263.0] || closed(u,v) closed(intersection(w,sigma(intersection(x,y))),z) maps(x1,intersection(w,sigma(intersection(x,y))),u) -> homomorphism(x1,intersection(w,sigma(intersection(x,y))),z,u,v) member(f33(x1,intersection(w,sigma(intersection(x,y))),z,u,v),sigma(y))*. % 300.16/300.43 92843[0:Res:5314.4,19263.0] || closed(u,v) closed(intersection(sigma(intersection(w,x)),y),z) maps(x1,intersection(sigma(intersection(w,x)),y),u) -> homomorphism(x1,intersection(sigma(intersection(w,x)),y),z,u,v) member(f32(x1,intersection(sigma(intersection(w,x)),y),z,u,v),sigma(x))*. % 300.16/300.43 92841[0:Res:5269.4,19263.0] || closed(u,v) closed(intersection(sigma(intersection(w,x)),y),z) maps(x1,intersection(sigma(intersection(w,x)),y),u) -> homomorphism(x1,intersection(sigma(intersection(w,x)),y),z,u,v) member(f33(x1,intersection(sigma(intersection(w,x)),y),z,u,v),sigma(x))*. % 300.16/300.43 97141[3:SSi:97005.0,5742.0,371.1] little_set(u) single_valued_set(converse(powerset(ordered_pair(second(ordered_pair(f6(v,w),u)),first(ordered_pair(f6(v,w),u)))))) || member(v,second(w)) member(w,converse(powerset(ordered_pair(second(ordered_pair(f6(v,w),u)),first(ordered_pair(f6(v,w),u))))))* -> equal(u,f7(v,w)). % 300.16/300.43 97142[3:SSi:97004.0,5742.0,371.1] little_set(u) single_valued_set(converse(powerset(ordered_pair(second(ordered_pair(f4(v,w),u)),first(ordered_pair(f4(v,w),u)))))) || member(v,first(w)) member(w,converse(powerset(ordered_pair(second(ordered_pair(f4(v,w),u)),first(ordered_pair(f4(v,w),u))))))* -> equal(u,f5(v,w)). % 300.16/300.43 97145[0:SSi:97059.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(converse(powerset(ordered_pair(second(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y)))),first(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y)))))))))*. % 300.16/300.43 97146[3:SSi:97058.0,5742.0,371.0,371.1] little_set(u) little_set(v) || member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(converse(powerset(ordered_pair(second(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u))),first(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u))))))))*. % 300.16/300.43 28554[0:Res:52.1,3811.0] || member(u,rotate_right(v)) -> equal(w,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))) member(f1(w,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),w)* member(f1(w,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),sigma(v))*. % 300.16/300.43 28553[0:Res:58.1,3811.0] || member(u,flip_range_of(v)) -> equal(w,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))) member(f1(w,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),w)* member(f1(w,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),sigma(v))*. % 300.16/300.43 28931[0:Res:52.1,3829.0] || member(u,rotate_right(v)) -> equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w) member(f1(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w),w)* member(f1(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w),sigma(v))*. % 300.16/300.43 28930[0:Res:58.1,3829.0] || member(u,flip_range_of(v)) -> equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w) member(f1(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w),w)* member(f1(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w),sigma(v))*. % 300.16/300.43 33624[0:Res:1007.2,1441.0] || member(u,domain_of(v)) member(f8(u,v),converse(converse(non_ordered_pair(w,x))))* -> equal(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),x)* equal(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),w)*. % 300.16/300.43 33623[0:Res:1008.2,1441.0] || member(u,range_of(v)) member(f27(u,v),converse(converse(non_ordered_pair(w,x))))* -> equal(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),x)* equal(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),w)*. % 300.16/300.43 34333[0:Res:288.1,1437.0] || -> single_valued_set(intersection(range_of(non_ordered_pair(u,v)),w)) equal(f27(ordered_pair(f19(intersection(range_of(non_ordered_pair(u,v)),w)),f20(intersection(range_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),v)** equal(f27(ordered_pair(f19(intersection(range_of(non_ordered_pair(u,v)),w)),f20(intersection(range_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34332[0:Res:287.1,1437.0] || -> single_valued_set(intersection(range_of(non_ordered_pair(u,v)),w)) equal(f27(ordered_pair(f19(intersection(range_of(non_ordered_pair(u,v)),w)),f21(intersection(range_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),v)** equal(f27(ordered_pair(f19(intersection(range_of(non_ordered_pair(u,v)),w)),f21(intersection(range_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34327[0:Res:280.1,1437.0] || -> single_valued_set(intersection(u,range_of(non_ordered_pair(v,w)))) equal(f27(ordered_pair(f19(intersection(u,range_of(non_ordered_pair(v,w)))),f20(intersection(u,range_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f27(ordered_pair(f19(intersection(u,range_of(non_ordered_pair(v,w)))),f20(intersection(u,range_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34326[0:Res:279.1,1437.0] || -> single_valued_set(intersection(u,range_of(non_ordered_pair(v,w)))) equal(f27(ordered_pair(f19(intersection(u,range_of(non_ordered_pair(v,w)))),f21(intersection(u,range_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f27(ordered_pair(f19(intersection(u,range_of(non_ordered_pair(v,w)))),f21(intersection(u,range_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34505[0:Res:288.1,1438.0] || -> single_valued_set(intersection(sigma(non_ordered_pair(u,v)),w)) equal(f16(ordered_pair(f19(intersection(sigma(non_ordered_pair(u,v)),w)),f20(intersection(sigma(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),v)** equal(f16(ordered_pair(f19(intersection(sigma(non_ordered_pair(u,v)),w)),f20(intersection(sigma(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34504[0:Res:287.1,1438.0] || -> single_valued_set(intersection(sigma(non_ordered_pair(u,v)),w)) equal(f16(ordered_pair(f19(intersection(sigma(non_ordered_pair(u,v)),w)),f21(intersection(sigma(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),v)** equal(f16(ordered_pair(f19(intersection(sigma(non_ordered_pair(u,v)),w)),f21(intersection(sigma(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34499[0:Res:280.1,1438.0] || -> single_valued_set(intersection(u,sigma(non_ordered_pair(v,w)))) equal(f16(ordered_pair(f19(intersection(u,sigma(non_ordered_pair(v,w)))),f20(intersection(u,sigma(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(f19(intersection(u,sigma(non_ordered_pair(v,w)))),f20(intersection(u,sigma(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34498[0:Res:279.1,1438.0] || -> single_valued_set(intersection(u,sigma(non_ordered_pair(v,w)))) equal(f16(ordered_pair(f19(intersection(u,sigma(non_ordered_pair(v,w)))),f21(intersection(u,sigma(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(f19(intersection(u,sigma(non_ordered_pair(v,w)))),f21(intersection(u,sigma(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34670[0:Res:288.1,1439.0] || -> single_valued_set(intersection(domain_of(non_ordered_pair(u,v)),w)) equal(f8(ordered_pair(f19(intersection(domain_of(non_ordered_pair(u,v)),w)),f20(intersection(domain_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),v)** equal(f8(ordered_pair(f19(intersection(domain_of(non_ordered_pair(u,v)),w)),f20(intersection(domain_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34669[0:Res:287.1,1439.0] || -> single_valued_set(intersection(domain_of(non_ordered_pair(u,v)),w)) equal(f8(ordered_pair(f19(intersection(domain_of(non_ordered_pair(u,v)),w)),f21(intersection(domain_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),v)** equal(f8(ordered_pair(f19(intersection(domain_of(non_ordered_pair(u,v)),w)),f21(intersection(domain_of(non_ordered_pair(u,v)),w))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34664[0:Res:280.1,1439.0] || -> single_valued_set(intersection(u,domain_of(non_ordered_pair(v,w)))) equal(f8(ordered_pair(f19(intersection(u,domain_of(non_ordered_pair(v,w)))),f20(intersection(u,domain_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f8(ordered_pair(f19(intersection(u,domain_of(non_ordered_pair(v,w)))),f20(intersection(u,domain_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34663[0:Res:279.1,1439.0] || -> single_valued_set(intersection(u,domain_of(non_ordered_pair(v,w)))) equal(f8(ordered_pair(f19(intersection(u,domain_of(non_ordered_pair(v,w)))),f21(intersection(u,domain_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),w)** equal(f8(ordered_pair(f19(intersection(u,domain_of(non_ordered_pair(v,w)))),f21(intersection(u,domain_of(non_ordered_pair(v,w))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 35605[0:Res:4112.2,1562.1] ordered_pair_predicate(second(f28(u,v,w))) || member(ordered_pair(second(second(f28(u,v,w))),first(second(f28(u,v,w)))),sigma(x)) member(u,apply(v,w)) -> member(u,sigma(converse(f16(ordered_pair(second(second(f28(u,v,w))),first(second(f28(u,v,w)))),x))))*. % 300.16/300.43 35764[0:Res:4111.2,1562.1] ordered_pair_predicate(second(f28(u,v,w))) || member(ordered_pair(second(second(f28(u,v,w))),first(second(f28(u,v,w)))),first(x)) member(u,apply(v,w)) -> member(u,sigma(converse(f4(ordered_pair(second(second(f28(u,v,w))),first(second(f28(u,v,w)))),x))))*. % 300.16/300.43 35983[0:Res:4110.2,1562.1] ordered_pair_predicate(second(f28(u,v,w))) || member(ordered_pair(second(second(f28(u,v,w))),first(second(f28(u,v,w)))),second(x)) member(u,apply(v,w)) -> member(u,sigma(converse(f7(ordered_pair(second(second(f28(u,v,w))),first(second(f28(u,v,w)))),x))))*. % 300.16/300.43 37745[0:Res:4272.2,3811.0] || member(u,compose(v,w)) member(w,x) -> equal(y,ordered_pair(f31(u,v,w),f30(u,v,w))) member(f1(y,ordered_pair(f31(u,v,w),f30(u,v,w))),y)* member(f1(y,ordered_pair(f31(u,v,w),f30(u,v,w))),sigma(sigma(x)))*. % 300.16/300.43 37744[0:Res:4272.2,3829.0] || member(u,compose(v,w)) member(w,x) -> equal(ordered_pair(f31(u,v,w),f30(u,v,w)),y) member(f1(ordered_pair(f31(u,v,w),f30(u,v,w)),y),y)* member(f1(ordered_pair(f31(u,v,w),f30(u,v,w)),y),sigma(sigma(x)))*. % 300.16/300.43 38216[0:Res:4347.2,3811.0] || member(u,compose(v,w)) member(v,x) -> equal(y,ordered_pair(f29(u,v,w),f31(u,v,w))) member(f1(y,ordered_pair(f29(u,v,w),f31(u,v,w))),y)* member(f1(y,ordered_pair(f29(u,v,w),f31(u,v,w))),sigma(sigma(x)))*. % 300.16/300.43 38215[0:Res:4347.2,3829.0] || member(u,compose(v,w)) member(v,x) -> equal(ordered_pair(f29(u,v,w),f31(u,v,w)),y) member(f1(ordered_pair(f29(u,v,w),f31(u,v,w)),y),y)* member(f1(ordered_pair(f29(u,v,w),f31(u,v,w)),y),sigma(sigma(x)))*. % 300.16/300.43 41223[0:Res:4286.1,1163.0] || member(u,compose(v,intersection(w,converse(x)))) member(x,y) -> member(ordered_pair(second(ordered_pair(f31(u,v,intersection(w,converse(x))),f30(u,v,intersection(w,converse(x))))),first(ordered_pair(f31(u,v,intersection(w,converse(x))),f30(u,v,intersection(w,converse(x)))))),sigma(y))*. % 300.16/300.43 41462[0:Res:4285.1,1163.0] || member(u,compose(v,intersection(converse(w),x))) member(w,y) -> member(ordered_pair(second(ordered_pair(f31(u,v,intersection(converse(w),x)),f30(u,v,intersection(converse(w),x)))),first(ordered_pair(f31(u,v,intersection(converse(w),x)),f30(u,v,intersection(converse(w),x))))),sigma(y))*. % 300.16/300.43 41600[0:Res:4361.1,1163.0] || member(u,compose(intersection(v,converse(w)),x)) member(w,y) -> member(ordered_pair(second(ordered_pair(f29(u,intersection(v,converse(w)),x),f31(u,intersection(v,converse(w)),x))),first(ordered_pair(f29(u,intersection(v,converse(w)),x),f31(u,intersection(v,converse(w)),x)))),sigma(y))*. % 300.16/300.43 41722[0:Res:4360.1,1163.0] || member(u,compose(intersection(converse(v),w),x)) member(v,y) -> member(ordered_pair(second(ordered_pair(f29(u,intersection(converse(v),w),x),f31(u,intersection(converse(v),w),x))),first(ordered_pair(f29(u,intersection(converse(v),w),x),f31(u,intersection(converse(v),w),x)))),sigma(y))*. % 300.16/300.43 42063[3:Res:4770.2,6212.0] || member(u,rotate_right(v)) subset(v,converse(second(w)))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(second(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),first(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))))),apply(x,y))*. % 300.16/300.43 42062[3:Res:4622.2,6212.0] || member(u,flip_range_of(v)) subset(v,converse(second(w)))* member(w,x)* equal(first(w),y)* -> member(ordered_pair(second(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),first(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))))),apply(x,y))*. % 300.16/300.43 42957[0:Res:4770.2,1442.0] || member(u,rotate_right(v)) subset(v,apply(non_ordered_pair(w,x),y)) -> equal(f28(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x),y),x)** equal(f28(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42956[0:Res:4622.2,1442.0] || member(u,flip_range_of(v)) subset(v,apply(non_ordered_pair(w,x),y)) -> equal(f28(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x),y),x)** equal(f28(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 43134[0:Res:4770.2,1443.0] || member(u,rotate_right(v)) subset(v,image(w,non_ordered_pair(x,y))) -> equal(f22(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w,non_ordered_pair(x,y)),y)** equal(f22(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43133[0:Res:4622.2,1443.0] || member(u,flip_range_of(v)) subset(v,image(w,non_ordered_pair(x,y))) -> equal(f22(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w,non_ordered_pair(x,y)),y)** equal(f22(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43302[3:SSi:43265.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),second(v)) member(ordered_pair(second(u),first(u)),w) -> member(u,converse(intersection(w,converse(f7(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)))))*. % 300.16/300.43 43303[3:SSi:43264.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),first(v)) member(ordered_pair(second(u),first(u)),w) -> member(u,converse(intersection(w,converse(f4(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)))))*. % 300.16/300.43 43304[3:SSi:43263.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),sigma(v)) member(ordered_pair(second(u),first(u)),w) -> member(u,converse(intersection(w,converse(f16(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v)))))*. % 300.16/300.43 43434[0:Res:4108.2,4457.3] ordered_pair_predicate(cross_product(u,v)) ordered_pair_predicate(w) || member(ordered_pair(second(cross_product(u,v)),first(cross_product(u,v))),apply(x,y)) member(second(w),v) member(first(w),u) -> member(w,sigma(converse(second(f28(ordered_pair(second(cross_product(u,v)),first(cross_product(u,v))),x,y)))))*. % 300.16/300.43 44361[0:Res:4635.1,5066.1] || member(u,flip_range_of(intersection(v,f30(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(ordered_pair(f12(u,intersection(v,f30(w,x,y))),ordered_pair(f14(u,intersection(v,f30(w,x,y))),f13(u,intersection(v,f30(w,x,y))))),second(z))*. % 300.16/300.43 44360[0:Res:4635.1,5025.1] || member(u,flip_range_of(intersection(v,f29(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(ordered_pair(f12(u,intersection(v,f29(w,x,y))),ordered_pair(f14(u,intersection(v,f29(w,x,y))),f13(u,intersection(v,f29(w,x,y))))),first(z))*. % 300.16/300.43 44616[0:Res:4634.1,5066.1] || member(u,flip_range_of(intersection(f30(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(ordered_pair(f12(u,intersection(f30(v,w,x),y)),ordered_pair(f14(u,intersection(f30(v,w,x),y)),f13(u,intersection(f30(v,w,x),y)))),second(z))*. % 300.16/300.43 44615[0:Res:4634.1,5025.1] || member(u,flip_range_of(intersection(f29(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(ordered_pair(f12(u,intersection(f29(v,w,x),y)),ordered_pair(f14(u,intersection(f29(v,w,x),y)),f13(u,intersection(f29(v,w,x),y)))),first(z))*. % 300.16/300.43 45135[0:Res:4783.1,5066.1] || member(u,rotate_right(intersection(v,f30(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(ordered_pair(f10(u,intersection(v,f30(w,x,y))),ordered_pair(f11(u,intersection(v,f30(w,x,y))),f9(u,intersection(v,f30(w,x,y))))),second(z))*. % 300.16/300.43 45134[0:Res:4783.1,5025.1] || member(u,rotate_right(intersection(v,f29(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(ordered_pair(f10(u,intersection(v,f29(w,x,y))),ordered_pair(f11(u,intersection(v,f29(w,x,y))),f9(u,intersection(v,f29(w,x,y))))),first(z))*. % 300.16/300.43 46262[0:Res:4782.1,5066.1] || member(u,rotate_right(intersection(f30(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(ordered_pair(f10(u,intersection(f30(v,w,x),y)),ordered_pair(f11(u,intersection(f30(v,w,x),y)),f9(u,intersection(f30(v,w,x),y)))),second(z))*. % 300.16/300.43 46261[0:Res:4782.1,5025.1] || member(u,rotate_right(intersection(f29(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(ordered_pair(f10(u,intersection(f29(v,w,x),y)),ordered_pair(f11(u,intersection(f29(v,w,x),y)),f9(u,intersection(f29(v,w,x),y)))),first(z))*. % 300.16/300.43 47429[0:Res:3837.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(non_ordered_pair(y,z),f30(u,v,w)) equal(f1(non_ordered_pair(y,z),f30(u,v,w)),z) equal(f1(non_ordered_pair(y,z),f30(u,v,w)),y) member(f1(non_ordered_pair(y,z),f30(u,v,w)),second(x))*. % 300.16/300.43 47428[0:Res:3837.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(non_ordered_pair(y,z),f29(u,v,w)) equal(f1(non_ordered_pair(y,z),f29(u,v,w)),z) equal(f1(non_ordered_pair(y,z),f29(u,v,w)),y) member(f1(non_ordered_pair(y,z),f29(u,v,w)),first(x))*. % 300.16/300.43 47385[0:Res:3837.1,1020.0] || -> equal(non_ordered_pair(u,v),converse(intersection(w,x))) equal(f1(non_ordered_pair(u,v),converse(intersection(w,x))),v) equal(f1(non_ordered_pair(u,v),converse(intersection(w,x))),u) member(ordered_pair(second(f1(non_ordered_pair(u,v),converse(intersection(w,x)))),first(f1(non_ordered_pair(u,v),converse(intersection(w,x))))),w)*. % 300.16/300.43 47384[0:Res:3837.1,1021.0] || -> equal(non_ordered_pair(u,v),converse(intersection(w,x))) equal(f1(non_ordered_pair(u,v),converse(intersection(w,x))),v) equal(f1(non_ordered_pair(u,v),converse(intersection(w,x))),u) member(ordered_pair(second(f1(non_ordered_pair(u,v),converse(intersection(w,x)))),first(f1(non_ordered_pair(u,v),converse(intersection(w,x))))),x)*. % 300.16/300.43 47874[0:Res:3819.1,5066.1] || member(u,compose(v,w)) equal(x,u) -> equal(f30(u,v,w),non_ordered_pair(y,z)) equal(f1(f30(u,v,w),non_ordered_pair(y,z)),z) equal(f1(f30(u,v,w),non_ordered_pair(y,z)),y) member(f1(f30(u,v,w),non_ordered_pair(y,z)),second(x))*. % 300.16/300.43 47873[0:Res:3819.1,5025.1] || member(u,compose(v,w)) equal(x,u) -> equal(f29(u,v,w),non_ordered_pair(y,z)) equal(f1(f29(u,v,w),non_ordered_pair(y,z)),z) equal(f1(f29(u,v,w),non_ordered_pair(y,z)),y) member(f1(f29(u,v,w),non_ordered_pair(y,z)),first(x))*. % 300.16/300.43 47830[0:Res:3819.1,1020.0] || -> equal(converse(intersection(u,v)),non_ordered_pair(w,x)) equal(f1(converse(intersection(u,v)),non_ordered_pair(w,x)),x) equal(f1(converse(intersection(u,v)),non_ordered_pair(w,x)),w) member(ordered_pair(second(f1(converse(intersection(u,v)),non_ordered_pair(w,x))),first(f1(converse(intersection(u,v)),non_ordered_pair(w,x)))),u)*. % 300.16/300.43 47829[0:Res:3819.1,1021.0] || -> equal(converse(intersection(u,v)),non_ordered_pair(w,x)) equal(f1(converse(intersection(u,v)),non_ordered_pair(w,x)),x) equal(f1(converse(intersection(u,v)),non_ordered_pair(w,x)),w) member(ordered_pair(second(f1(converse(intersection(u,v)),non_ordered_pair(w,x))),first(f1(converse(intersection(u,v)),non_ordered_pair(w,x)))),v)*. % 300.16/300.43 66092[0:Res:5054.3,5230.3] little_set(u) little_set(v) little_set(w) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(f10(x,second(ordered_pair(v,u))),w),u)* member(x,rotate_right(second(ordered_pair(v,u)))) -> equal(w,ordered_pair(f11(x,second(ordered_pair(v,u))),f9(x,second(ordered_pair(v,u)))))*. % 300.16/300.43 66091[0:Res:5009.3,5230.3] little_set(u) little_set(v) little_set(w) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(f10(x,first(ordered_pair(v,u))),w),v)* member(x,rotate_right(first(ordered_pair(v,u)))) -> equal(w,ordered_pair(f11(x,first(ordered_pair(v,u))),f9(x,first(ordered_pair(v,u)))))*. % 300.16/300.43 66113[0:SSi:66080.0,371.0] little_set(u) single_valued_set(intersection(complement(v),complement(w))) || member(x,rotate_right(intersection(complement(v),complement(w)))) -> member(ordered_pair(f10(x,intersection(complement(v),complement(w))),u),union(v,w))* equal(u,ordered_pair(f11(x,intersection(complement(v),complement(w))),f9(x,intersection(complement(v),complement(w)))))*. % 300.16/300.43 66188[0:Res:5054.3,5232.3] little_set(u) little_set(v) little_set(w) single_valued_set(second(ordered_pair(v,u))) || member(ordered_pair(f12(x,second(ordered_pair(v,u))),w),u)* member(x,flip_range_of(second(ordered_pair(v,u)))) -> equal(w,ordered_pair(f14(x,second(ordered_pair(v,u))),f13(x,second(ordered_pair(v,u)))))*. % 300.16/300.43 66187[0:Res:5009.3,5232.3] little_set(u) little_set(v) little_set(w) single_valued_set(first(ordered_pair(v,u))) || member(ordered_pair(f12(x,first(ordered_pair(v,u))),w),v)* member(x,flip_range_of(first(ordered_pair(v,u)))) -> equal(w,ordered_pair(f14(x,first(ordered_pair(v,u))),f13(x,first(ordered_pair(v,u)))))*. % 300.16/300.43 66211[0:SSi:66176.0,371.0] little_set(u) single_valued_set(intersection(complement(v),complement(w))) || member(x,flip_range_of(intersection(complement(v),complement(w)))) -> member(ordered_pair(f12(x,intersection(complement(v),complement(w))),u),union(v,w))* equal(u,ordered_pair(f14(x,intersection(complement(v),complement(w))),f13(x,intersection(complement(v),complement(w)))))*. % 300.16/300.43 66427[0:SSi:66350.0,3910.0,371.2] little_set(u) little_set(v) little_set(w) || member(ordered_pair(second(ordered_pair(u,v)),first(ordered_pair(u,v))),apply(x,y)) member(ordered_pair(w,u),z) -> member(ordered_pair(w,v),compose(z,converse(second(f28(ordered_pair(second(ordered_pair(u,v)),first(ordered_pair(u,v))),x,y)))))*. % 300.16/300.43 67001[0:Res:3651.2,4158.0] || member(f1(u,intersection(v,restrict(w,x))),cross_product(x,universal_set))* member(f1(u,intersection(v,restrict(w,x))),w)* member(f1(u,intersection(v,restrict(w,x))),v)* member(f1(u,intersection(v,restrict(w,x))),u)* -> equal(u,intersection(v,restrict(w,x))). % 300.16/300.43 67020[3:MRR:66988.0,6237.1] || member(second(f1(u,intersection(v,cross_product(w,x)))),x)* member(first(f1(u,intersection(v,cross_product(w,x)))),w)* member(f1(u,intersection(v,cross_product(w,x))),v)* member(f1(u,intersection(v,cross_product(w,x))),u)* -> equal(u,intersection(v,cross_product(w,x))). % 300.16/300.43 67793[3:Res:5054.3,6233.0] little_set(u) little_set(v) || member(second(f1(w,cross_product(x,second(ordered_pair(v,u))))),u)* member(first(f1(w,cross_product(x,second(ordered_pair(v,u))))),x)* member(f1(w,cross_product(x,second(ordered_pair(v,u)))),w)* -> equal(w,cross_product(x,second(ordered_pair(v,u)))). % 300.16/300.43 67792[3:Res:5009.3,6233.0] little_set(u) little_set(v) || member(second(f1(w,cross_product(x,first(ordered_pair(v,u))))),v)* member(first(f1(w,cross_product(x,first(ordered_pair(v,u))))),x)* member(f1(w,cross_product(x,first(ordered_pair(v,u)))),w)* -> equal(w,cross_product(x,first(ordered_pair(v,u)))). % 300.16/300.43 67777[3:Res:10.2,6233.0] little_set(second(f1(u,cross_product(v,non_ordered_pair(w,x))))) || equal(second(f1(u,cross_product(v,non_ordered_pair(w,x)))),x) member(first(f1(u,cross_product(v,non_ordered_pair(w,x)))),v)* member(f1(u,cross_product(v,non_ordered_pair(w,x))),u)* -> equal(u,cross_product(v,non_ordered_pair(w,x))). % 300.16/300.43 67776[3:Res:9.2,6233.0] little_set(second(f1(u,cross_product(v,non_ordered_pair(w,x))))) || equal(second(f1(u,cross_product(v,non_ordered_pair(w,x)))),w) member(first(f1(u,cross_product(v,non_ordered_pair(w,x)))),v)* member(f1(u,cross_product(v,non_ordered_pair(w,x))),u)* -> equal(u,cross_product(v,non_ordered_pair(w,x))). % 300.16/300.43 69119[0:Res:5256.5,1438.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,non_ordered_pair(z,x1)) -> homomorphism(y,w,x,u,v) equal(f16(f33(y,w,x,u,v),non_ordered_pair(z,x1)),x1)** equal(f16(f33(y,w,x,u,v),non_ordered_pair(z,x1)),z)**. % 300.16/300.43 69325[0:Res:5301.5,1438.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,non_ordered_pair(z,x1)) -> homomorphism(y,w,x,u,v) equal(f16(f32(y,w,x,u,v),non_ordered_pair(z,x1)),x1)** equal(f16(f32(y,w,x,u,v),non_ordered_pair(z,x1)),z)**. % 300.16/300.43 70177[0:Res:3651.2,5359.4] little_set(u) little_set(v) || member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),cross_product(y,universal_set))* member(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u)),z)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(restrict(z,y)))*. % 300.16/300.43 70202[3:SSi:70159.0,5742.0,371.0,371.1] little_set(u) little_set(v) || member(second(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u))),y)* member(first(ordered_pair(f4(w,x),ordered_pair(f5(w,x),u))),z)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(cross_product(z,y)))*. % 300.16/300.43 70255[0:Res:3651.2,5360.4] little_set(u) little_set(v) || member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),cross_product(y,universal_set))* member(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u)),z)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(restrict(z,y)))*. % 300.16/300.43 70280[3:SSi:70237.0,5742.0,371.0,371.1] little_set(u) little_set(v) || member(second(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u))),y)* member(first(ordered_pair(f6(w,x),ordered_pair(f7(w,x),u))),z)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,rotate_right(cross_product(z,y)))*. % 300.16/300.43 70327[0:Res:3651.2,6054.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),cross_product(y,universal_set))* member(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x))),z)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(restrict(z,y)))*. % 300.16/300.43 70357[0:SSi:70309.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(second(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x)))),y)* member(first(ordered_pair(u,ordered_pair(f5(w,x),f4(w,x)))),z)* member(w,first(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(cross_product(z,y)))*. % 300.16/300.43 70398[0:Res:3651.2,6055.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),cross_product(y,universal_set))* member(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x))),z)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(restrict(z,y)))*. % 300.16/300.43 70428[0:SSi:70380.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(second(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x)))),y)* member(first(ordered_pair(u,ordered_pair(f7(w,x),f6(w,x)))),z)* member(w,second(x)) equal(v,ordered_pair(u,x))* -> member(v,flip_range_of(cross_product(z,y)))*. % 300.16/300.43 71169[0:Res:67.1,5363.4] little_set(u) little_set(v) || member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),sigma(z)) member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(f16(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z)))*. % 300.16/300.43 71168[0:Res:21.1,5363.4] little_set(u) little_set(v) || member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),first(z)) member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(f4(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z)))*. % 300.16/300.43 71167[0:Res:26.1,5363.4] little_set(u) little_set(v) || member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),second(z)) member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(f7(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z)))*. % 300.16/300.43 71299[0:Res:67.1,6058.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),sigma(z)) member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(f16(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z)))*. % 300.16/300.43 71298[0:Res:21.1,6058.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),first(z)) member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(f4(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z)))*. % 300.16/300.43 71297[0:Res:26.1,6058.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),second(z)) member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(f7(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z)))*. % 300.16/300.43 73523[0:Res:955.2,4280.0] || subset(u,compose(v,non_ordered_pair(w,x))) -> subset(u,y) equal(ordered_pair(f31(f17(u,y),v,non_ordered_pair(w,x)),f30(f17(u,y),v,non_ordered_pair(w,x))),x)** equal(ordered_pair(f31(f17(u,y),v,non_ordered_pair(w,x)),f30(f17(u,y),v,non_ordered_pair(w,x))),w)**. % 300.16/300.43 73520[0:Res:961.2,4280.0] || subset(u,compose(v,non_ordered_pair(w,x))) -> disjoint(y,u) equal(ordered_pair(f31(f23(y,u),v,non_ordered_pair(w,x)),f30(f23(y,u),v,non_ordered_pair(w,x))),x)** equal(ordered_pair(f31(f23(y,u),v,non_ordered_pair(w,x)),f30(f23(y,u),v,non_ordered_pair(w,x))),w)**. % 300.16/300.43 73518[0:Res:954.2,4280.0] || subset(u,compose(v,non_ordered_pair(w,x))) -> disjoint(u,y) equal(ordered_pair(f31(f23(u,y),v,non_ordered_pair(w,x)),f30(f23(u,y),v,non_ordered_pair(w,x))),x)** equal(ordered_pair(f31(f23(u,y),v,non_ordered_pair(w,x)),f30(f23(u,y),v,non_ordered_pair(w,x))),w)**. % 300.16/300.43 73738[0:Res:955.2,4355.0] || subset(u,compose(non_ordered_pair(v,w),x)) -> subset(u,y) equal(ordered_pair(f29(f17(u,y),non_ordered_pair(v,w),x),f31(f17(u,y),non_ordered_pair(v,w),x)),w)** equal(ordered_pair(f29(f17(u,y),non_ordered_pair(v,w),x),f31(f17(u,y),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 73735[0:Res:961.2,4355.0] || subset(u,compose(non_ordered_pair(v,w),x)) -> disjoint(y,u) equal(ordered_pair(f29(f23(y,u),non_ordered_pair(v,w),x),f31(f23(y,u),non_ordered_pair(v,w),x)),w)** equal(ordered_pair(f29(f23(y,u),non_ordered_pair(v,w),x),f31(f23(y,u),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 73733[0:Res:954.2,4355.0] || subset(u,compose(non_ordered_pair(v,w),x)) -> disjoint(u,y) equal(ordered_pair(f29(f23(u,y),non_ordered_pair(v,w),x),f31(f23(u,y),non_ordered_pair(v,w),x)),w)** equal(ordered_pair(f29(f23(u,y),non_ordered_pair(v,w),x),f31(f23(u,y),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 74061[0:Res:5054.3,6084.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f10(y,z),f11(y,z))),u)* member(y,rotate_right(z)) equal(x,y)* member(ordered_pair(f9(y,z),w),x1)* -> member(x,compose(x1,second(ordered_pair(v,u))))*. % 300.16/300.43 74060[0:Res:5009.3,6084.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f10(y,z),f11(y,z))),v)* member(y,rotate_right(z)) equal(x,y)* member(ordered_pair(f9(y,z),w),x1)* -> member(x,compose(x1,first(ordered_pair(v,u))))*. % 300.16/300.43 74044[16:Res:55527.1,6084.4] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,w) member(ordered_pair(f9(w,x),u),y) -> equal(singleton_set(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x)))),a) member(v,compose(y,singleton_set(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))))))*. % 300.16/300.43 74171[0:Res:5054.3,6086.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f13(y,z),f14(y,z))),u)* member(y,flip_range_of(z)) equal(x,y)* member(ordered_pair(f12(y,z),w),x1)* -> member(x,compose(x1,second(ordered_pair(v,u))))*. % 300.16/300.43 74170[0:Res:5009.3,6086.4] little_set(u) little_set(v) little_set(w) little_set(x) || member(ordered_pair(w,ordered_pair(f13(y,z),f14(y,z))),v)* member(y,flip_range_of(z)) equal(x,y)* member(ordered_pair(f12(y,z),w),x1)* -> member(x,compose(x1,first(ordered_pair(v,u))))*. % 300.16/300.43 74154[16:Res:55527.1,6086.4] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,w) member(ordered_pair(f12(w,x),u),y) -> equal(singleton_set(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x)))),a) member(v,compose(y,singleton_set(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))))))*. % 300.16/300.43 88179[3:Res:82671.1,6086.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),infinity) member(w,flip_range_of(x)) equal(v,w) member(ordered_pair(f12(w,x),u),y) -> member(v,compose(y,singleton_set(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))))))*. % 300.16/300.43 88178[3:Res:82671.1,6084.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),infinity) member(w,rotate_right(x)) equal(v,w) member(ordered_pair(f9(w,x),u),y) -> member(v,compose(y,singleton_set(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))))))*. % 300.16/300.43 89534[0:Res:5308.4,43745.1] || closed(u,v) closed(cross_product(w,flip_range_of(complement(flip_range_of(x)))),y) maps(z,cross_product(w,flip_range_of(complement(flip_range_of(x)))),u) member(second(f32(z,cross_product(w,flip_range_of(complement(flip_range_of(x)))),y,u,v)),x)* -> homomorphism(z,cross_product(w,flip_range_of(complement(flip_range_of(x)))),y,u,v). % 300.16/300.43 89533[0:Res:5263.4,43745.1] || closed(u,v) closed(cross_product(w,flip_range_of(complement(flip_range_of(x)))),y) maps(z,cross_product(w,flip_range_of(complement(flip_range_of(x)))),u) member(second(f33(z,cross_product(w,flip_range_of(complement(flip_range_of(x)))),y,u,v)),x)* -> homomorphism(z,cross_product(w,flip_range_of(complement(flip_range_of(x)))),y,u,v). % 300.16/300.43 89527[0:Res:5307.4,43745.1] || closed(u,v) closed(cross_product(flip_range_of(complement(flip_range_of(w))),x),y) maps(z,cross_product(flip_range_of(complement(flip_range_of(w))),x),u) member(first(f32(z,cross_product(flip_range_of(complement(flip_range_of(w))),x),y,u,v)),w)* -> homomorphism(z,cross_product(flip_range_of(complement(flip_range_of(w))),x),y,u,v). % 300.16/300.43 89526[0:Res:5262.4,43745.1] || closed(u,v) closed(cross_product(flip_range_of(complement(flip_range_of(w))),x),y) maps(z,cross_product(flip_range_of(complement(flip_range_of(w))),x),u) member(first(f33(z,cross_product(flip_range_of(complement(flip_range_of(w))),x),y,u,v)),w)* -> homomorphism(z,cross_product(flip_range_of(complement(flip_range_of(w))),x),y,u,v). % 300.16/300.43 92730[0:Res:5308.4,19261.0] || closed(u,v) closed(cross_product(w,sigma(intersection(x,y))),z) maps(x1,cross_product(w,sigma(intersection(x,y))),u) -> homomorphism(x1,cross_product(w,sigma(intersection(x,y))),z,u,v) member(second(f32(x1,cross_product(w,sigma(intersection(x,y))),z,u,v)),sigma(x))*. % 300.16/300.43 92729[0:Res:5263.4,19261.0] || closed(u,v) closed(cross_product(w,sigma(intersection(x,y))),z) maps(x1,cross_product(w,sigma(intersection(x,y))),u) -> homomorphism(x1,cross_product(w,sigma(intersection(x,y))),z,u,v) member(second(f33(x1,cross_product(w,sigma(intersection(x,y))),z,u,v)),sigma(x))*. % 300.16/300.43 92702[0:Res:5307.4,19261.0] || closed(u,v) closed(cross_product(sigma(intersection(w,x)),y),z) maps(x1,cross_product(sigma(intersection(w,x)),y),u) -> homomorphism(x1,cross_product(sigma(intersection(w,x)),y),z,u,v) member(first(f32(x1,cross_product(sigma(intersection(w,x)),y),z,u,v)),sigma(w))*. % 300.16/300.43 92701[0:Res:5262.4,19261.0] || closed(u,v) closed(cross_product(sigma(intersection(w,x)),y),z) maps(x1,cross_product(sigma(intersection(w,x)),y),u) -> homomorphism(x1,cross_product(sigma(intersection(w,x)),y),z,u,v) member(first(f33(x1,cross_product(sigma(intersection(w,x)),y),z,u,v)),sigma(w))*. % 300.16/300.43 92932[0:Res:5308.4,19263.0] || closed(u,v) closed(cross_product(w,sigma(intersection(x,y))),z) maps(x1,cross_product(w,sigma(intersection(x,y))),u) -> homomorphism(x1,cross_product(w,sigma(intersection(x,y))),z,u,v) member(second(f32(x1,cross_product(w,sigma(intersection(x,y))),z,u,v)),sigma(y))*. % 300.16/300.43 92931[0:Res:5263.4,19263.0] || closed(u,v) closed(cross_product(w,sigma(intersection(x,y))),z) maps(x1,cross_product(w,sigma(intersection(x,y))),u) -> homomorphism(x1,cross_product(w,sigma(intersection(x,y))),z,u,v) member(second(f33(x1,cross_product(w,sigma(intersection(x,y))),z,u,v)),sigma(y))*. % 300.16/300.43 92904[0:Res:5307.4,19263.0] || closed(u,v) closed(cross_product(sigma(intersection(w,x)),y),z) maps(x1,cross_product(sigma(intersection(w,x)),y),u) -> homomorphism(x1,cross_product(sigma(intersection(w,x)),y),z,u,v) member(first(f32(x1,cross_product(sigma(intersection(w,x)),y),z,u,v)),sigma(x))*. % 300.16/300.43 92903[0:Res:5262.4,19263.0] || closed(u,v) closed(cross_product(sigma(intersection(w,x)),y),z) maps(x1,cross_product(sigma(intersection(w,x)),y),u) -> homomorphism(x1,cross_product(sigma(intersection(w,x)),y),z,u,v) member(first(f33(x1,cross_product(sigma(intersection(w,x)),y),z,u,v)),sigma(x))*. % 300.16/300.43 99329[3:Res:18201.1,6233.0] ordered_pair_predicate(second(f1(u,cross_product(v,converse(complement(w)))))) || member(first(f1(u,cross_product(v,converse(complement(w))))),v)* member(f1(u,cross_product(v,converse(complement(w)))),u)* -> member(second(f1(u,cross_product(v,converse(complement(w))))),converse(w))* equal(u,cross_product(v,converse(complement(w)))). % 300.16/300.43 99995[16:Res:59019.2,4355.0] || subset(u,compose(non_ordered_pair(v,w),x)) -> equal(u,a) equal(ordered_pair(f29(f1(u,a),non_ordered_pair(v,w),x),f31(f1(u,a),non_ordered_pair(v,w),x)),w)** equal(ordered_pair(f29(f1(u,a),non_ordered_pair(v,w),x),f31(f1(u,a),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 99994[16:Res:59019.2,4280.0] || subset(u,compose(v,non_ordered_pair(w,x))) -> equal(u,a) equal(ordered_pair(f31(f1(u,a),v,non_ordered_pair(w,x)),f30(f1(u,a),v,non_ordered_pair(w,x))),x)** equal(ordered_pair(f31(f1(u,a),v,non_ordered_pair(w,x)),f30(f1(u,a),v,non_ordered_pair(w,x))),w)**. % 300.16/300.43 100608[16:Res:59021.2,4355.0] || subset(u,compose(non_ordered_pair(v,w),x)) -> equal(a,u) equal(ordered_pair(f29(f1(a,u),non_ordered_pair(v,w),x),f31(f1(a,u),non_ordered_pair(v,w),x)),w)** equal(ordered_pair(f29(f1(a,u),non_ordered_pair(v,w),x),f31(f1(a,u),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 100607[16:Res:59021.2,4280.0] || subset(u,compose(v,non_ordered_pair(w,x))) -> equal(a,u) equal(ordered_pair(f31(f1(a,u),v,non_ordered_pair(w,x)),f30(f1(a,u),v,non_ordered_pair(w,x))),x)** equal(ordered_pair(f31(f1(a,u),v,non_ordered_pair(w,x)),f30(f1(a,u),v,non_ordered_pair(w,x))),w)**. % 300.16/300.43 104602[3:Res:18826.1,6233.0] little_set(second(f1(u,cross_product(v,union(w,x))))) || member(first(f1(u,cross_product(v,union(w,x)))),v)* member(f1(u,cross_product(v,union(w,x))),u)* -> member(second(f1(u,cross_product(v,union(w,x)))),complement(w))* equal(u,cross_product(v,union(w,x))). % 300.16/300.43 104946[3:Res:18827.1,6233.0] little_set(second(f1(u,cross_product(v,union(w,x))))) || member(first(f1(u,cross_product(v,union(w,x)))),v)* member(f1(u,cross_product(v,union(w,x))),u)* -> member(second(f1(u,cross_product(v,union(w,x)))),complement(x))* equal(u,cross_product(v,union(w,x))). % 300.16/300.43 32627[0:Res:4282.1,3812.0] || member(u,compose(v,powerset(w))) -> equal(x,ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w)))) member(f1(x,ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w)))),x)* member(f1(x,ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w)))),w)*. % 300.16/300.43 32626[0:Res:4282.1,3830.0] || member(u,compose(v,powerset(w))) -> equal(ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w))),x) member(f1(ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w))),x),x)* member(f1(ordered_pair(f31(u,v,powerset(w)),f30(u,v,powerset(w))),x),w)*. % 300.16/300.43 32690[0:Res:4357.1,3812.0] || member(u,compose(powerset(v),w)) -> equal(x,ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w))) member(f1(x,ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w))),x)* member(f1(x,ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w))),v)*. % 300.16/300.43 32689[0:Res:4357.1,3830.0] || member(u,compose(powerset(v),w)) -> equal(ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w)),x) member(f1(ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w)),x),x)* member(f1(ordered_pair(f29(u,powerset(v),w),f31(u,powerset(v),w)),x),v)*. % 300.16/300.43 33599[0:Res:281.1,1441.0] || -> disjoint(u,intersection(v,converse(non_ordered_pair(w,x)))) equal(ordered_pair(second(f23(u,intersection(v,converse(non_ordered_pair(w,x))))),first(f23(u,intersection(v,converse(non_ordered_pair(w,x)))))),x)** equal(ordered_pair(second(f23(u,intersection(v,converse(non_ordered_pair(w,x))))),first(f23(u,intersection(v,converse(non_ordered_pair(w,x)))))),w)**. % 300.16/300.43 33566[0:Res:278.1,1441.0] || -> subset(intersection(u,converse(non_ordered_pair(v,w))),x) equal(ordered_pair(second(f17(intersection(u,converse(non_ordered_pair(v,w))),x)),first(f17(intersection(u,converse(non_ordered_pair(v,w))),x))),w)** equal(ordered_pair(second(f17(intersection(u,converse(non_ordered_pair(v,w))),x)),first(f17(intersection(u,converse(non_ordered_pair(v,w))),x))),v)**. % 300.16/300.43 33563[0:Res:277.1,1441.0] || -> disjoint(intersection(u,converse(non_ordered_pair(v,w))),x) equal(ordered_pair(second(f23(intersection(u,converse(non_ordered_pair(v,w))),x)),first(f23(intersection(u,converse(non_ordered_pair(v,w))),x))),w)** equal(ordered_pair(second(f23(intersection(u,converse(non_ordered_pair(v,w))),x)),first(f23(intersection(u,converse(non_ordered_pair(v,w))),x))),v)**. % 300.16/300.43 33561[0:Res:289.1,1441.0] || -> disjoint(u,intersection(converse(non_ordered_pair(v,w)),x)) equal(ordered_pair(second(f23(u,intersection(converse(non_ordered_pair(v,w)),x))),first(f23(u,intersection(converse(non_ordered_pair(v,w)),x)))),w)** equal(ordered_pair(second(f23(u,intersection(converse(non_ordered_pair(v,w)),x))),first(f23(u,intersection(converse(non_ordered_pair(v,w)),x)))),v)**. % 300.16/300.43 33531[0:Res:285.1,1441.0] || -> disjoint(intersection(converse(non_ordered_pair(u,v)),w),x) equal(ordered_pair(second(f23(intersection(converse(non_ordered_pair(u,v)),w),x)),first(f23(intersection(converse(non_ordered_pair(u,v)),w),x))),v)** equal(ordered_pair(second(f23(intersection(converse(non_ordered_pair(u,v)),w),x)),first(f23(intersection(converse(non_ordered_pair(u,v)),w),x))),u)**. % 300.16/300.43 33529[0:Res:286.1,1441.0] || -> subset(intersection(converse(non_ordered_pair(u,v)),w),x) equal(ordered_pair(second(f17(intersection(converse(non_ordered_pair(u,v)),w),x)),first(f17(intersection(converse(non_ordered_pair(u,v)),w),x))),v)** equal(ordered_pair(second(f17(intersection(converse(non_ordered_pair(u,v)),w),x)),first(f17(intersection(converse(non_ordered_pair(u,v)),w),x))),u)**. % 300.16/300.43 35072[0:Res:142.3,5025.1] || closed(u,v) closed(f29(w,x,y),z) maps(x1,f29(w,x,y),u) member(w,compose(x,y)) equal(x2,w) -> homomorphism(x1,f29(w,x,y),z,u,v) member(f32(x1,f29(w,x,y),z,u,v),first(x2))*. % 300.16/300.43 35071[0:Res:143.3,5025.1] || closed(u,v) closed(f29(w,x,y),z) maps(x1,f29(w,x,y),u) member(w,compose(x,y)) equal(x2,w) -> homomorphism(x1,f29(w,x,y),z,u,v) member(f33(x1,f29(w,x,y),z,u,v),first(x2))*. % 300.16/300.43 35242[0:Res:142.3,5066.1] || closed(u,v) closed(f30(w,x,y),z) maps(x1,f30(w,x,y),u) member(w,compose(x,y)) equal(x2,w) -> homomorphism(x1,f30(w,x,y),z,u,v) member(f32(x1,f30(w,x,y),z,u,v),second(x2))*. % 300.16/300.43 35241[0:Res:143.3,5066.1] || closed(u,v) closed(f30(w,x,y),z) maps(x1,f30(w,x,y),u) member(w,compose(x,y)) equal(x2,w) -> homomorphism(x1,f30(w,x,y),z,u,v) member(f33(x1,f30(w,x,y),z,u,v),second(x2))*. % 300.16/300.43 42073[3:Res:554.1,6212.0] || member(u,v) equal(first(u),w) -> single_valued_set(cross_product(converse(second(u)),x)) member(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(second(u)),x)),f20(cross_product(converse(second(u)),x))))),first(first(ordered_pair(f19(cross_product(converse(second(u)),x)),f20(cross_product(converse(second(u)),x)))))),apply(v,w))*. % 300.16/300.43 42072[3:Res:553.1,6212.0] || member(u,v) equal(first(u),w) -> single_valued_set(cross_product(converse(second(u)),x)) member(ordered_pair(second(first(ordered_pair(f19(cross_product(converse(second(u)),x)),f21(cross_product(converse(second(u)),x))))),first(first(ordered_pair(f19(cross_product(converse(second(u)),x)),f21(cross_product(converse(second(u)),x)))))),apply(v,w))*. % 300.16/300.43 42058[3:Res:136.1,6212.0] || member(u,compose(v,converse(second(w)))) member(w,x) equal(first(w),y) -> member(ordered_pair(second(ordered_pair(f31(u,v,converse(second(w))),f30(u,v,converse(second(w))))),first(ordered_pair(f31(u,v,converse(second(w))),f30(u,v,converse(second(w)))))),apply(x,y))*. % 300.16/300.43 42049[3:Res:135.1,6212.0] || member(u,compose(converse(second(v)),w)) member(v,x) equal(first(v),y) -> member(ordered_pair(second(ordered_pair(f29(u,converse(second(v)),w),f31(u,converse(second(v)),w))),first(ordered_pair(f29(u,converse(second(v)),w),f31(u,converse(second(v)),w)))),apply(x,y))*. % 300.16/300.43 42018[3:Res:541.1,6212.0] || member(u,v) equal(first(u),w) -> single_valued_set(cross_product(x,converse(second(u)))) member(ordered_pair(second(second(ordered_pair(f19(cross_product(x,converse(second(u)))),f20(cross_product(x,converse(second(u))))))),first(second(ordered_pair(f19(cross_product(x,converse(second(u)))),f20(cross_product(x,converse(second(u)))))))),apply(v,w))*. % 300.16/300.43 42017[3:Res:540.1,6212.0] || member(u,v) equal(first(u),w) -> single_valued_set(cross_product(x,converse(second(u)))) member(ordered_pair(second(second(ordered_pair(f19(cross_product(x,converse(second(u)))),f21(cross_product(x,converse(second(u))))))),first(second(ordered_pair(f19(cross_product(x,converse(second(u)))),f21(cross_product(x,converse(second(u)))))))),apply(v,w))*. % 300.16/300.43 42356[0:Res:4279.1,1009.0] || member(u,compose(v,cross_product(w,converse(x)))) subset(x,y) -> member(ordered_pair(second(second(ordered_pair(f31(u,v,cross_product(w,converse(x))),f30(u,v,cross_product(w,converse(x)))))),first(second(ordered_pair(f31(u,v,cross_product(w,converse(x))),f30(u,v,cross_product(w,converse(x))))))),y)*. % 300.16/300.43 42354[0:Res:4279.1,8.0] || member(u,compose(v,cross_product(w,non_ordered_pair(x,y)))) -> equal(second(ordered_pair(f31(u,v,cross_product(w,non_ordered_pair(x,y))),f30(u,v,cross_product(w,non_ordered_pair(x,y))))),y)** equal(second(ordered_pair(f31(u,v,cross_product(w,non_ordered_pair(x,y))),f30(u,v,cross_product(w,non_ordered_pair(x,y))))),x)**. % 300.16/300.43 42467[0:Res:4278.1,1009.0] || member(u,compose(v,cross_product(converse(w),x))) subset(w,y) -> member(ordered_pair(second(first(ordered_pair(f31(u,v,cross_product(converse(w),x)),f30(u,v,cross_product(converse(w),x))))),first(first(ordered_pair(f31(u,v,cross_product(converse(w),x)),f30(u,v,cross_product(converse(w),x)))))),y)*. % 300.16/300.43 42465[0:Res:4278.1,8.0] || member(u,compose(v,cross_product(non_ordered_pair(w,x),y))) -> equal(first(ordered_pair(f31(u,v,cross_product(non_ordered_pair(w,x),y)),f30(u,v,cross_product(non_ordered_pair(w,x),y)))),x)** equal(first(ordered_pair(f31(u,v,cross_product(non_ordered_pair(w,x),y)),f30(u,v,cross_product(non_ordered_pair(w,x),y)))),w)**. % 300.16/300.43 42614[0:Res:4354.1,1009.0] || member(u,compose(cross_product(v,converse(w)),x)) subset(w,y) -> member(ordered_pair(second(second(ordered_pair(f29(u,cross_product(v,converse(w)),x),f31(u,cross_product(v,converse(w)),x)))),first(second(ordered_pair(f29(u,cross_product(v,converse(w)),x),f31(u,cross_product(v,converse(w)),x))))),y)*. % 300.16/300.43 42612[0:Res:4354.1,8.0] || member(u,compose(cross_product(v,non_ordered_pair(w,x)),y)) -> equal(second(ordered_pair(f29(u,cross_product(v,non_ordered_pair(w,x)),y),f31(u,cross_product(v,non_ordered_pair(w,x)),y))),x)** equal(second(ordered_pair(f29(u,cross_product(v,non_ordered_pair(w,x)),y),f31(u,cross_product(v,non_ordered_pair(w,x)),y))),w)**. % 300.16/300.43 42756[0:Res:4353.1,1009.0] || member(u,compose(cross_product(converse(v),w),x)) subset(v,y) -> member(ordered_pair(second(first(ordered_pair(f29(u,cross_product(converse(v),w),x),f31(u,cross_product(converse(v),w),x)))),first(first(ordered_pair(f29(u,cross_product(converse(v),w),x),f31(u,cross_product(converse(v),w),x))))),y)*. % 300.16/300.43 42754[0:Res:4353.1,8.0] || member(u,compose(cross_product(non_ordered_pair(v,w),x),y)) -> equal(first(ordered_pair(f29(u,cross_product(non_ordered_pair(v,w),x),y),f31(u,cross_product(non_ordered_pair(v,w),x),y))),w)** equal(first(ordered_pair(f29(u,cross_product(non_ordered_pair(v,w),x),y),f31(u,cross_product(non_ordered_pair(v,w),x),y))),v)**. % 300.16/300.43 42974[0:Res:1549.1,1442.0] || member(u,image(cross_product(apply(non_ordered_pair(v,w),x),y),z)) -> equal(f28(first(first(f22(u,cross_product(apply(non_ordered_pair(v,w),x),y),z))),non_ordered_pair(v,w),x),w)** equal(f28(first(first(f22(u,cross_product(apply(non_ordered_pair(v,w),x),y),z))),non_ordered_pair(v,w),x),v)**. % 300.16/300.43 42922[0:Res:1550.1,1442.0] || member(u,image(cross_product(v,apply(non_ordered_pair(w,x),y)),z)) -> equal(f28(second(first(f22(u,cross_product(v,apply(non_ordered_pair(w,x),y)),z))),non_ordered_pair(w,x),y),x)** equal(f28(second(first(f22(u,cross_product(v,apply(non_ordered_pair(w,x),y)),z))),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 43151[0:Res:1549.1,1443.0] || member(u,image(cross_product(image(v,non_ordered_pair(w,x)),y),z)) -> equal(f22(first(first(f22(u,cross_product(image(v,non_ordered_pair(w,x)),y),z))),v,non_ordered_pair(w,x)),x)** equal(f22(first(first(f22(u,cross_product(image(v,non_ordered_pair(w,x)),y),z))),v,non_ordered_pair(w,x)),w)**. % 300.16/300.43 43099[0:Res:1550.1,1443.0] || member(u,image(cross_product(v,image(w,non_ordered_pair(x,y))),z)) -> equal(f22(second(first(f22(u,cross_product(v,image(w,non_ordered_pair(x,y))),z))),w,non_ordered_pair(x,y)),y)** equal(f22(second(first(f22(u,cross_product(v,image(w,non_ordered_pair(x,y))),z))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43491[3:SSi:43416.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),apply(w,x)) member(u,domain_of(v)) -> member(f8(u,v),converse(converse(second(f28(ordered_pair(second(ordered_pair(second(f8(u,v)),u)),first(ordered_pair(second(f8(u,v)),u))),w,x)))))*. % 300.16/300.43 43492[3:SSi:43415.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),apply(w,x)) member(u,range_of(v)) -> member(f27(u,v),converse(converse(second(f28(ordered_pair(second(ordered_pair(u,first(f27(u,v)))),first(ordered_pair(u,first(f27(u,v))))),w,x)))))*. % 300.16/300.43 47315[0:Res:1556.1,1558.0] || member(u,image(intersection(v,image(non_ordered_pair(w,x),y)),z)) -> equal(first(f22(first(f22(u,intersection(v,image(non_ordered_pair(w,x),y)),z)),non_ordered_pair(w,x),y)),x)** equal(first(f22(first(f22(u,intersection(v,image(non_ordered_pair(w,x),y)),z)),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47314[0:Res:1344.1,1558.0] || member(u,image(v,cross_product(image(non_ordered_pair(w,x),y),z))) -> equal(first(f22(first(f22(u,v,cross_product(image(non_ordered_pair(w,x),y),z))),non_ordered_pair(w,x),y)),x)** equal(first(f22(first(f22(u,v,cross_product(image(non_ordered_pair(w,x),y),z))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47311[0:Res:1555.1,1558.0] || member(u,image(intersection(image(non_ordered_pair(v,w),x),y),z)) -> equal(first(f22(first(f22(u,intersection(image(non_ordered_pair(v,w),x),y),z)),non_ordered_pair(v,w),x)),w)** equal(first(f22(first(f22(u,intersection(image(non_ordered_pair(v,w),x),y),z)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47253[0:Res:1280.1,1558.0] || member(u,apply(cross_product(v,image(non_ordered_pair(w,x),y)),z)) -> equal(first(f22(second(f28(u,cross_product(v,image(non_ordered_pair(w,x),y)),z)),non_ordered_pair(w,x),y)),x)** equal(first(f22(second(f28(u,cross_product(v,image(non_ordered_pair(w,x),y)),z)),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47236[0:Res:3839.1,1558.0] || -> equal(powerset(u),image(non_ordered_pair(v,w),x)) subset(f1(powerset(u),image(non_ordered_pair(v,w),x)),u)* equal(first(f22(f1(powerset(u),image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f1(powerset(u),image(non_ordered_pair(v,w),x)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47196[0:Res:3821.1,1558.0] || -> equal(image(non_ordered_pair(u,v),w),powerset(x)) subset(f1(image(non_ordered_pair(u,v),w),powerset(x)),x)* equal(first(f22(f1(image(non_ordered_pair(u,v),w),powerset(x)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(image(non_ordered_pair(u,v),w),powerset(x)),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 47387[0:Res:3837.1,1014.0] || -> equal(non_ordered_pair(u,v),converse(cross_product(w,x))) equal(f1(non_ordered_pair(u,v),converse(cross_product(w,x))),v) equal(f1(non_ordered_pair(u,v),converse(cross_product(w,x))),u) member(first(ordered_pair(second(f1(non_ordered_pair(u,v),converse(cross_product(w,x)))),first(f1(non_ordered_pair(u,v),converse(cross_product(w,x)))))),w)*. % 300.16/300.43 47386[0:Res:3837.1,1015.0] || -> equal(non_ordered_pair(u,v),converse(cross_product(w,x))) equal(f1(non_ordered_pair(u,v),converse(cross_product(w,x))),v) equal(f1(non_ordered_pair(u,v),converse(cross_product(w,x))),u) member(second(ordered_pair(second(f1(non_ordered_pair(u,v),converse(cross_product(w,x)))),first(f1(non_ordered_pair(u,v),converse(cross_product(w,x)))))),x)*. % 300.16/300.43 47832[0:Res:3819.1,1014.0] || -> equal(converse(cross_product(u,v)),non_ordered_pair(w,x)) equal(f1(converse(cross_product(u,v)),non_ordered_pair(w,x)),x) equal(f1(converse(cross_product(u,v)),non_ordered_pair(w,x)),w) member(first(ordered_pair(second(f1(converse(cross_product(u,v)),non_ordered_pair(w,x))),first(f1(converse(cross_product(u,v)),non_ordered_pair(w,x))))),u)*. % 300.16/300.43 47831[0:Res:3819.1,1015.0] || -> equal(converse(cross_product(u,v)),non_ordered_pair(w,x)) equal(f1(converse(cross_product(u,v)),non_ordered_pair(w,x)),x) equal(f1(converse(cross_product(u,v)),non_ordered_pair(w,x)),w) member(second(ordered_pair(second(f1(converse(cross_product(u,v)),non_ordered_pair(w,x))),first(f1(converse(cross_product(u,v)),non_ordered_pair(w,x))))),v)*. % 300.16/300.43 58815[16:Rew:54986.0,51316.0] || -> equal(cross_product(converse(non_ordered_pair(u,v)),w),a) equal(ordered_pair(second(first(f24(cross_product(converse(non_ordered_pair(u,v)),w)))),first(first(f24(cross_product(converse(non_ordered_pair(u,v)),w))))),v)** equal(ordered_pair(second(first(f24(cross_product(converse(non_ordered_pair(u,v)),w)))),first(first(f24(cross_product(converse(non_ordered_pair(u,v)),w))))),u)**. % 300.16/300.43 58816[16:Rew:54986.0,51317.0] || -> equal(cross_product(u,converse(non_ordered_pair(v,w))),a) equal(ordered_pair(second(second(f24(cross_product(u,converse(non_ordered_pair(v,w)))))),first(second(f24(cross_product(u,converse(non_ordered_pair(v,w))))))),w)** equal(ordered_pair(second(second(f24(cross_product(u,converse(non_ordered_pair(v,w)))))),first(second(f24(cross_product(u,converse(non_ordered_pair(v,w))))))),v)**. % 300.16/300.43 64302[0:Res:4628.1,5066.1] || member(u,flip_range_of(cross_product(v,f30(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(second(ordered_pair(f12(u,cross_product(v,f30(w,x,y))),ordered_pair(f14(u,cross_product(v,f30(w,x,y))),f13(u,cross_product(v,f30(w,x,y)))))),second(z))*. % 300.16/300.43 64301[0:Res:4628.1,5025.1] || member(u,flip_range_of(cross_product(v,f29(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(second(ordered_pair(f12(u,cross_product(v,f29(w,x,y))),ordered_pair(f14(u,cross_product(v,f29(w,x,y))),f13(u,cross_product(v,f29(w,x,y)))))),first(z))*. % 300.16/300.43 64409[0:Res:4627.1,5066.1] || member(u,flip_range_of(cross_product(f30(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(first(ordered_pair(f12(u,cross_product(f30(v,w,x),y)),ordered_pair(f14(u,cross_product(f30(v,w,x),y)),f13(u,cross_product(f30(v,w,x),y))))),second(z))*. % 300.16/300.43 64408[0:Res:4627.1,5025.1] || member(u,flip_range_of(cross_product(f29(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(first(ordered_pair(f12(u,cross_product(f29(v,w,x),y)),ordered_pair(f14(u,cross_product(f29(v,w,x),y)),f13(u,cross_product(f29(v,w,x),y))))),first(z))*. % 300.16/300.43 64558[0:Res:4776.1,5066.1] || member(u,rotate_right(cross_product(v,f30(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(second(ordered_pair(f10(u,cross_product(v,f30(w,x,y))),ordered_pair(f11(u,cross_product(v,f30(w,x,y))),f9(u,cross_product(v,f30(w,x,y)))))),second(z))*. % 300.16/300.43 64557[0:Res:4776.1,5025.1] || member(u,rotate_right(cross_product(v,f29(w,x,y)))) member(w,compose(x,y)) equal(z,w) -> member(second(ordered_pair(f10(u,cross_product(v,f29(w,x,y))),ordered_pair(f11(u,cross_product(v,f29(w,x,y))),f9(u,cross_product(v,f29(w,x,y)))))),first(z))*. % 300.16/300.43 64668[0:Res:4775.1,5066.1] || member(u,rotate_right(cross_product(f30(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(first(ordered_pair(f10(u,cross_product(f30(v,w,x),y)),ordered_pair(f11(u,cross_product(f30(v,w,x),y)),f9(u,cross_product(f30(v,w,x),y))))),second(z))*. % 300.16/300.43 64667[0:Res:4775.1,5025.1] || member(u,rotate_right(cross_product(f29(v,w,x),y))) member(v,compose(w,x)) equal(z,v) -> member(first(ordered_pair(f10(u,cross_product(f29(v,w,x),y)),ordered_pair(f11(u,cross_product(f29(v,w,x),y)),f9(u,cross_product(f29(v,w,x),y))))),first(z))*. % 300.16/300.43 66081[0:Res:3651.2,5230.3] little_set(u) single_valued_set(restrict(v,w)) || member(ordered_pair(f10(x,restrict(v,w)),u),cross_product(w,universal_set))* member(ordered_pair(f10(x,restrict(v,w)),u),v)* member(x,rotate_right(restrict(v,w))) -> equal(u,ordered_pair(f11(x,restrict(v,w)),f9(x,restrict(v,w))))*. % 300.16/300.43 66112[3:SSi:66068.0,5742.0,371.1] little_set(u) single_valued_set(cross_product(v,w)) || member(second(ordered_pair(f10(x,cross_product(v,w)),u)),w)* member(first(ordered_pair(f10(x,cross_product(v,w)),u)),v)* member(x,rotate_right(cross_product(v,w))) -> equal(u,ordered_pair(f11(x,cross_product(v,w)),f9(x,cross_product(v,w))))*. % 300.16/300.43 66177[0:Res:3651.2,5232.3] little_set(u) single_valued_set(restrict(v,w)) || member(ordered_pair(f12(x,restrict(v,w)),u),cross_product(w,universal_set))* member(ordered_pair(f12(x,restrict(v,w)),u),v)* member(x,flip_range_of(restrict(v,w))) -> equal(u,ordered_pair(f14(x,restrict(v,w)),f13(x,restrict(v,w))))*. % 300.16/300.43 66210[3:SSi:66164.0,5742.0,371.1] little_set(u) single_valued_set(cross_product(v,w)) || member(second(ordered_pair(f12(x,cross_product(v,w)),u)),w)* member(first(ordered_pair(f12(x,cross_product(v,w)),u)),v)* member(x,flip_range_of(cross_product(v,w))) -> equal(u,ordered_pair(f14(x,cross_product(v,w)),f13(x,cross_product(v,w))))*. % 300.16/300.43 66946[3:SSi:66911.0,5742.0,371.1] little_set(u) little_set(v) || member(ordered_pair(second(ordered_pair(u,f3(w))),first(ordered_pair(u,f3(w)))),second(x)) equal(v,w) member(ordered_pair(f2(w),u),y) -> member(v,compose(y,converse(f7(ordered_pair(second(ordered_pair(u,f3(w))),first(ordered_pair(u,f3(w)))),x))))*. % 300.16/300.43 66947[3:SSi:66910.0,5742.0,371.1] little_set(u) little_set(v) || member(ordered_pair(second(ordered_pair(u,f3(w))),first(ordered_pair(u,f3(w)))),first(x)) equal(v,w) member(ordered_pair(f2(w),u),y) -> member(v,compose(y,converse(f4(ordered_pair(second(ordered_pair(u,f3(w))),first(ordered_pair(u,f3(w)))),x))))*. % 300.16/300.43 66948[3:SSi:66909.0,5742.0,371.1] little_set(u) little_set(v) || member(ordered_pair(second(ordered_pair(u,f3(w))),first(ordered_pair(u,f3(w)))),sigma(x)) equal(v,w) member(ordered_pair(f2(w),u),y) -> member(v,compose(y,converse(f16(ordered_pair(second(ordered_pair(u,f3(w))),first(ordered_pair(u,f3(w)))),x))))*. % 300.16/300.43 67790[3:Res:1103.2,6233.0] little_set(second(f1(u,cross_product(v,ordered_pair(w,x))))) || equal(second(f1(u,cross_product(v,ordered_pair(w,x)))),singleton_set(w)) member(first(f1(u,cross_product(v,ordered_pair(w,x)))),v)* member(f1(u,cross_product(v,ordered_pair(w,x))),u)* -> equal(u,cross_product(v,ordered_pair(w,x))). % 300.16/300.43 67786[3:Res:33.2,6233.0] || member(second(f1(u,cross_product(v,intersection(w,x)))),x)* member(second(f1(u,cross_product(v,intersection(w,x)))),w)* member(first(f1(u,cross_product(v,intersection(w,x)))),v)* member(f1(u,cross_product(v,intersection(w,x))),u)* -> equal(u,cross_product(v,intersection(w,x))). % 300.16/300.43 68154[0:Res:5257.5,1438.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,sigma(non_ordered_pair(z,x1))) -> homomorphism(y,w,x,u,v) equal(f16(f33(y,w,x,u,v),non_ordered_pair(z,x1)),x1)** equal(f16(f33(y,w,x,u,v),non_ordered_pair(z,x1)),z)**. % 300.16/300.43 68120[0:Res:5257.5,1437.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(non_ordered_pair(z,x1))) -> homomorphism(y,w,x,u,v) equal(f27(f33(y,w,x,u,v),non_ordered_pair(z,x1)),x1)** equal(f27(f33(y,w,x,u,v),non_ordered_pair(z,x1)),z)**. % 300.16/300.43 68117[0:Res:5257.5,1439.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,domain_of(non_ordered_pair(z,x1))) -> homomorphism(y,w,x,u,v) equal(f8(f33(y,w,x,u,v),non_ordered_pair(z,x1)),x1)** equal(f8(f33(y,w,x,u,v),non_ordered_pair(z,x1)),z)**. % 300.16/300.43 68257[0:Res:5302.5,1438.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,sigma(non_ordered_pair(z,x1))) -> homomorphism(y,w,x,u,v) equal(f16(f32(y,w,x,u,v),non_ordered_pair(z,x1)),x1)** equal(f16(f32(y,w,x,u,v),non_ordered_pair(z,x1)),z)**. % 300.16/300.43 68223[0:Res:5302.5,1437.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,range_of(non_ordered_pair(z,x1))) -> homomorphism(y,w,x,u,v) equal(f27(f32(y,w,x,u,v),non_ordered_pair(z,x1)),x1)** equal(f27(f32(y,w,x,u,v),non_ordered_pair(z,x1)),z)**. % 300.16/300.43 68220[0:Res:5302.5,1439.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,domain_of(non_ordered_pair(z,x1))) -> homomorphism(y,w,x,u,v) equal(f8(f32(y,w,x,u,v),non_ordered_pair(z,x1)),x1)** equal(f8(f32(y,w,x,u,v),non_ordered_pair(z,x1)),z)**. % 300.16/300.43 68404[0:Res:1008.2,5236.4] little_set(first(f27(f9(u,v),w))) single_valued_set(x) || member(f9(u,v),range_of(w)) member(f27(f9(u,v),w),converse(x))* member(u,rotate_right(v)) member(u,x) -> equal(first(f27(f9(u,v),w)),ordered_pair(f10(u,v),f11(u,v)))*. % 300.16/300.43 68395[0:Res:120.1,5236.4] little_set(u) single_valued_set(second(f28(ordered_pair(f9(v,w),u),x,y))) || member(ordered_pair(f9(v,w),u),apply(x,y)) member(v,rotate_right(w)) member(v,second(f28(ordered_pair(f9(v,w),u),x,y)))* -> equal(u,ordered_pair(f10(v,w),f11(v,w)))*. % 300.16/300.43 68656[0:Res:1008.2,5238.4] little_set(first(f27(f12(u,v),w))) single_valued_set(x) || member(f12(u,v),range_of(w)) member(f27(f12(u,v),w),converse(x))* member(u,flip_range_of(v)) member(u,x) -> equal(first(f27(f12(u,v),w)),ordered_pair(f13(u,v),f14(u,v)))*. % 300.16/300.43 68645[0:Res:120.1,5238.4] little_set(u) single_valued_set(second(f28(ordered_pair(f12(v,w),u),x,y))) || member(ordered_pair(f12(v,w),u),apply(x,y)) member(v,flip_range_of(w)) member(v,second(f28(ordered_pair(f12(v,w),u),x,y)))* -> equal(u,ordered_pair(f13(v,w),f14(v,w)))*. % 300.16/300.43 68769[0:Res:5054.3,5268.3] little_set(u) little_set(v) || member(f33(w,complement(second(ordered_pair(v,u))),x,y,z),u)* closed(y,z) closed(complement(second(ordered_pair(v,u))),x) maps(w,complement(second(ordered_pair(v,u))),y) -> homomorphism(w,complement(second(ordered_pair(v,u))),x,y,z). % 300.16/300.43 68768[0:Res:5009.3,5268.3] little_set(u) little_set(v) || member(f33(w,complement(first(ordered_pair(v,u))),x,y,z),v)* closed(y,z) closed(complement(first(ordered_pair(v,u))),x) maps(w,complement(first(ordered_pair(v,u))),y) -> homomorphism(w,complement(first(ordered_pair(v,u))),x,y,z). % 300.16/300.43 68830[0:Res:5054.3,5313.3] little_set(u) little_set(v) || member(f32(w,complement(second(ordered_pair(v,u))),x,y,z),u)* closed(y,z) closed(complement(second(ordered_pair(v,u))),x) maps(w,complement(second(ordered_pair(v,u))),y) -> homomorphism(w,complement(second(ordered_pair(v,u))),x,y,z). % 300.16/300.43 68829[0:Res:5009.3,5313.3] little_set(u) little_set(v) || member(f32(w,complement(first(ordered_pair(v,u))),x,y,z),v)* closed(y,z) closed(complement(first(ordered_pair(v,u))),x) maps(w,complement(first(ordered_pair(v,u))),y) -> homomorphism(w,complement(first(ordered_pair(v,u))),x,y,z). % 300.16/300.43 70565[3:Res:5270.4,6192.1] || closed(u,v) closed(intersection(w,second(x)),y) maps(z,intersection(w,second(x)),u) member(x,x1) equal(first(x),x2) -> homomorphism(z,intersection(w,second(x)),y,u,v) member(f33(z,intersection(w,second(x)),y,u,v),apply(x1,x2))*. % 300.16/300.43 70536[3:Res:5270.4,6176.0] || closed(u,v) closed(intersection(w,converse(x)),y) maps(z,intersection(w,converse(x)),u) -> homomorphism(z,intersection(w,converse(x)),y,u,v) ordered_pair_predicate(ordered_pair(second(f33(z,intersection(w,converse(x)),y,u,v)),first(f33(z,intersection(w,converse(x)),y,u,v))))*. % 300.16/300.43 70661[3:Res:5269.4,6192.1] || closed(u,v) closed(intersection(second(w),x),y) maps(z,intersection(second(w),x),u) member(w,x1) equal(first(w),x2) -> homomorphism(z,intersection(second(w),x),y,u,v) member(f33(z,intersection(second(w),x),y,u,v),apply(x1,x2))*. % 300.16/300.43 70632[3:Res:5269.4,6176.0] || closed(u,v) closed(intersection(converse(w),x),y) maps(z,intersection(converse(w),x),u) -> homomorphism(z,intersection(converse(w),x),y,u,v) ordered_pair_predicate(ordered_pair(second(f33(z,intersection(converse(w),x),y,u,v)),first(f33(z,intersection(converse(w),x),y,u,v))))*. % 300.16/300.43 70785[3:Res:5315.4,6192.1] || closed(u,v) closed(intersection(w,second(x)),y) maps(z,intersection(w,second(x)),u) member(x,x1) equal(first(x),x2) -> homomorphism(z,intersection(w,second(x)),y,u,v) member(f32(z,intersection(w,second(x)),y,u,v),apply(x1,x2))*. % 300.16/300.43 70756[3:Res:5315.4,6176.0] || closed(u,v) closed(intersection(w,converse(x)),y) maps(z,intersection(w,converse(x)),u) -> homomorphism(z,intersection(w,converse(x)),y,u,v) ordered_pair_predicate(ordered_pair(second(f32(z,intersection(w,converse(x)),y,u,v)),first(f32(z,intersection(w,converse(x)),y,u,v))))*. % 300.16/300.43 70865[3:Res:5314.4,6192.1] || closed(u,v) closed(intersection(second(w),x),y) maps(z,intersection(second(w),x),u) member(w,x1) equal(first(w),x2) -> homomorphism(z,intersection(second(w),x),y,u,v) member(f32(z,intersection(second(w),x),y,u,v),apply(x1,x2))*. % 300.16/300.43 70836[3:Res:5314.4,6176.0] || closed(u,v) closed(intersection(converse(w),x),y) maps(z,intersection(converse(w),x),u) -> homomorphism(z,intersection(converse(w),x),y,u,v) ordered_pair_predicate(ordered_pair(second(f32(z,intersection(converse(w),x),y,u,v)),first(f32(z,intersection(converse(w),x),y,u,v))))*. % 300.16/300.43 72563[16:Res:55527.1,5365.4] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> equal(singleton_set(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u))),a) member(v,rotate_right(singleton_set(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)))))*. % 300.16/300.43 72978[16:Res:55527.1,5367.4] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> equal(singleton_set(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u))),a) member(v,rotate_right(singleton_set(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)))))*. % 300.16/300.43 73206[16:Res:55527.1,6060.4] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> equal(singleton_set(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x)))),a) member(v,flip_range_of(singleton_set(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))))))*. % 300.16/300.43 73399[16:Res:55527.1,6062.4] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> equal(singleton_set(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x)))),a) member(v,flip_range_of(singleton_set(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))))))*. % 300.16/300.43 73952[0:Res:33.2,6082.4] little_set(u) little_set(v) || member(ordered_pair(u,f30(w,x,y)),z)* member(ordered_pair(u,f30(w,x,y)),x1)* member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),x2)* -> member(v,compose(x2,intersection(x1,z)))*. % 300.16/300.43 73951[0:Res:120.1,6082.4] little_set(u) little_set(v) || member(ordered_pair(u,f30(w,x,y)),apply(z,x1)) member(w,compose(x,y)) equal(v,w) member(ordered_pair(f29(w,x,y),u),x2) -> member(v,compose(x2,second(f28(ordered_pair(u,f30(w,x,y)),z,x1))))*. % 300.16/300.43 74306[3:Rew:95.1,74283.6,95.1,74283.3,95.1,74283.2] || member(u,image(v,w)) closed(x,y) closed(u,z) maps(x1,u,x) member(f22(u,v,w),x2)* equal(first(f22(u,v,w)),x3)* -> homomorphism(x1,u,z,x,y) member(f33(x1,u,z,x,y),apply(x2,x3))*. % 300.16/300.43 74393[3:Rew:95.1,74370.6,95.1,74370.3,95.1,74370.2] || member(u,image(v,w)) closed(x,y) closed(u,z) maps(x1,u,x) member(f22(u,v,w),x2)* equal(first(f22(u,v,w)),x3)* -> homomorphism(x1,u,z,x,y) member(f32(x1,u,z,x,y),apply(x2,x3))*. % 300.16/300.43 80687[16:Res:57169.1,4355.0] || subset(f25,compose(non_ordered_pair(u,v),w)) -> equal(ordered_pair(f29(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w),f31(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w),f31(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 80686[16:Res:57169.1,4280.0] || subset(f25,compose(u,non_ordered_pair(v,w))) -> equal(ordered_pair(f31(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w)),f30(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w)),f30(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w))),v)**. % 300.16/300.43 81221[16:Res:57170.1,4355.0] || subset(universal_set,compose(non_ordered_pair(u,v),w)) -> equal(ordered_pair(f29(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w),f31(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w)),v)** equal(ordered_pair(f29(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w),f31(ordered_pair(powerset(a),a),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 81220[16:Res:57170.1,4280.0] || subset(universal_set,compose(u,non_ordered_pair(v,w))) -> equal(ordered_pair(f31(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w)),f30(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w))),w)** equal(ordered_pair(f31(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w)),f30(ordered_pair(powerset(a),a),u,non_ordered_pair(v,w))),v)**. % 300.16/300.43 88177[3:Res:82671.1,6062.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),infinity) member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(singleton_set(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))))))*. % 300.16/300.43 88176[3:Res:82671.1,6060.4] little_set(u) little_set(v) || equal(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),infinity) member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(singleton_set(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))))))*. % 300.16/300.43 88171[3:Res:82671.1,5367.4] little_set(u) little_set(v) || equal(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),infinity) member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(singleton_set(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)))))*. % 300.16/300.43 88170[3:Res:82671.1,5365.4] little_set(u) little_set(v) || equal(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),infinity) member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(singleton_set(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)))))*. % 300.16/300.43 97147[0:SSi:97053.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,w) member(ordered_pair(f12(w,x),u),y) -> member(v,compose(y,converse(powerset(ordered_pair(second(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x)))),first(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x)))))))))*. % 300.16/300.43 97148[0:SSi:97052.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,w) member(ordered_pair(f9(w,x),u),y) -> member(v,compose(y,converse(powerset(ordered_pair(second(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x)))),first(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x)))))))))*. % 300.16/300.43 98399[0:Res:8090.0,1441.0] || -> subset(complement(complement(converse(non_ordered_pair(u,v)))),w) equal(ordered_pair(second(f17(complement(complement(converse(non_ordered_pair(u,v)))),w)),first(f17(complement(complement(converse(non_ordered_pair(u,v)))),w))),v)** equal(ordered_pair(second(f17(complement(complement(converse(non_ordered_pair(u,v)))),w)),first(f17(complement(complement(converse(non_ordered_pair(u,v)))),w))),u)**. % 300.16/300.43 98515[0:Res:9082.0,1441.0] || -> disjoint(u,complement(complement(converse(non_ordered_pair(v,w))))) equal(ordered_pair(second(f23(u,complement(complement(converse(non_ordered_pair(v,w)))))),first(f23(u,complement(complement(converse(non_ordered_pair(v,w))))))),w)** equal(ordered_pair(second(f23(u,complement(complement(converse(non_ordered_pair(v,w)))))),first(f23(u,complement(complement(converse(non_ordered_pair(v,w))))))),v)**. % 300.16/300.43 98705[0:Res:9151.0,1441.0] || -> disjoint(complement(complement(converse(non_ordered_pair(u,v)))),w) equal(ordered_pair(second(f23(complement(complement(converse(non_ordered_pair(u,v)))),w)),first(f23(complement(complement(converse(non_ordered_pair(u,v)))),w))),v)** equal(ordered_pair(second(f23(complement(complement(converse(non_ordered_pair(u,v)))),w)),first(f23(complement(complement(converse(non_ordered_pair(u,v)))),w))),u)**. % 300.16/300.43 100778[16:Res:59048.1,1441.0] || -> equal(intersection(converse(non_ordered_pair(u,v)),w),a) equal(ordered_pair(second(f1(intersection(converse(non_ordered_pair(u,v)),w),a)),first(f1(intersection(converse(non_ordered_pair(u,v)),w),a))),v)** equal(ordered_pair(second(f1(intersection(converse(non_ordered_pair(u,v)),w),a)),first(f1(intersection(converse(non_ordered_pair(u,v)),w),a))),u)**. % 300.16/300.43 100895[16:Res:59049.1,1441.0] || -> equal(intersection(u,converse(non_ordered_pair(v,w))),a) equal(ordered_pair(second(f1(intersection(u,converse(non_ordered_pair(v,w))),a)),first(f1(intersection(u,converse(non_ordered_pair(v,w))),a))),w)** equal(ordered_pair(second(f1(intersection(u,converse(non_ordered_pair(v,w))),a)),first(f1(intersection(u,converse(non_ordered_pair(v,w))),a))),v)**. % 300.16/300.43 100996[16:Res:59050.1,1441.0] || -> equal(intersection(converse(non_ordered_pair(u,v)),w),a) equal(ordered_pair(second(f1(a,intersection(converse(non_ordered_pair(u,v)),w))),first(f1(a,intersection(converse(non_ordered_pair(u,v)),w)))),v)** equal(ordered_pair(second(f1(a,intersection(converse(non_ordered_pair(u,v)),w))),first(f1(a,intersection(converse(non_ordered_pair(u,v)),w)))),u)**. % 300.16/300.43 101135[16:Res:59051.1,1441.0] || -> equal(intersection(u,converse(non_ordered_pair(v,w))),a) equal(ordered_pair(second(f1(a,intersection(u,converse(non_ordered_pair(v,w))))),first(f1(a,intersection(u,converse(non_ordered_pair(v,w)))))),w)** equal(ordered_pair(second(f1(a,intersection(u,converse(non_ordered_pair(v,w))))),first(f1(a,intersection(u,converse(non_ordered_pair(v,w)))))),v)**. % 300.16/300.43 101329[16:Res:59052.1,1441.0] || -> equal(restrict(converse(non_ordered_pair(u,v)),w),a) equal(ordered_pair(second(f1(restrict(converse(non_ordered_pair(u,v)),w),a)),first(f1(restrict(converse(non_ordered_pair(u,v)),w),a))),v)** equal(ordered_pair(second(f1(restrict(converse(non_ordered_pair(u,v)),w),a)),first(f1(restrict(converse(non_ordered_pair(u,v)),w),a))),u)**. % 300.16/300.43 101589[16:Res:59053.1,1441.0] || -> equal(restrict(converse(non_ordered_pair(u,v)),w),a) equal(ordered_pair(second(f1(a,restrict(converse(non_ordered_pair(u,v)),w))),first(f1(a,restrict(converse(non_ordered_pair(u,v)),w)))),v)** equal(ordered_pair(second(f1(a,restrict(converse(non_ordered_pair(u,v)),w))),first(f1(a,restrict(converse(non_ordered_pair(u,v)),w)))),u)**. % 300.16/300.43 14878[0:Res:142.3,1020.0] || closed(u,v) closed(converse(intersection(w,x)),y) maps(z,converse(intersection(w,x)),u) -> homomorphism(z,converse(intersection(w,x)),y,u,v) member(ordered_pair(second(f32(z,converse(intersection(w,x)),y,u,v)),first(f32(z,converse(intersection(w,x)),y,u,v))),w)*. % 300.16/300.43 14877[0:Res:143.3,1020.0] || closed(u,v) closed(converse(intersection(w,x)),y) maps(z,converse(intersection(w,x)),u) -> homomorphism(z,converse(intersection(w,x)),y,u,v) member(ordered_pair(second(f33(z,converse(intersection(w,x)),y,u,v)),first(f33(z,converse(intersection(w,x)),y,u,v))),w)*. % 300.16/300.43 14984[0:Res:142.3,1021.0] || closed(u,v) closed(converse(intersection(w,x)),y) maps(z,converse(intersection(w,x)),u) -> homomorphism(z,converse(intersection(w,x)),y,u,v) member(ordered_pair(second(f32(z,converse(intersection(w,x)),y,u,v)),first(f32(z,converse(intersection(w,x)),y,u,v))),x)*. % 300.16/300.43 14983[0:Res:143.3,1021.0] || closed(u,v) closed(converse(intersection(w,x)),y) maps(z,converse(intersection(w,x)),u) -> homomorphism(z,converse(intersection(w,x)),y,u,v) member(ordered_pair(second(f33(z,converse(intersection(w,x)),y,u,v)),first(f33(z,converse(intersection(w,x)),y,u,v))),x)*. % 300.16/300.43 33558[0:Res:94.1,1441.0] || member(u,image(converse(non_ordered_pair(v,w)),x)) -> equal(ordered_pair(second(first(f22(u,converse(non_ordered_pair(v,w)),x))),first(first(f22(u,converse(non_ordered_pair(v,w)),x)))),w)** equal(ordered_pair(second(first(f22(u,converse(non_ordered_pair(v,w)),x))),first(first(f22(u,converse(non_ordered_pair(v,w)),x)))),v)**. % 300.16/300.43 34340[0:Res:554.1,1437.0] || -> single_valued_set(cross_product(range_of(non_ordered_pair(u,v)),w)) equal(f27(first(ordered_pair(f19(cross_product(range_of(non_ordered_pair(u,v)),w)),f20(cross_product(range_of(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),v)** equal(f27(first(ordered_pair(f19(cross_product(range_of(non_ordered_pair(u,v)),w)),f20(cross_product(range_of(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34339[0:Res:553.1,1437.0] || -> single_valued_set(cross_product(range_of(non_ordered_pair(u,v)),w)) equal(f27(first(ordered_pair(f19(cross_product(range_of(non_ordered_pair(u,v)),w)),f21(cross_product(range_of(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),v)** equal(f27(first(ordered_pair(f19(cross_product(range_of(non_ordered_pair(u,v)),w)),f21(cross_product(range_of(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34329[0:Res:136.1,1437.0] || member(u,compose(v,range_of(non_ordered_pair(w,x)))) -> equal(f27(ordered_pair(f31(u,v,range_of(non_ordered_pair(w,x))),f30(u,v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f27(ordered_pair(f31(u,v,range_of(non_ordered_pair(w,x))),f30(u,v,range_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34321[0:Res:135.1,1437.0] || member(u,compose(range_of(non_ordered_pair(v,w)),x)) -> equal(f27(ordered_pair(f29(u,range_of(non_ordered_pair(v,w)),x),f31(u,range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f27(ordered_pair(f29(u,range_of(non_ordered_pair(v,w)),x),f31(u,range_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34290[0:Res:541.1,1437.0] || -> single_valued_set(cross_product(u,range_of(non_ordered_pair(v,w)))) equal(f27(second(ordered_pair(f19(cross_product(u,range_of(non_ordered_pair(v,w)))),f20(cross_product(u,range_of(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),w)** equal(f27(second(ordered_pair(f19(cross_product(u,range_of(non_ordered_pair(v,w)))),f20(cross_product(u,range_of(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34289[0:Res:540.1,1437.0] || -> single_valued_set(cross_product(u,range_of(non_ordered_pair(v,w)))) equal(f27(second(ordered_pair(f19(cross_product(u,range_of(non_ordered_pair(v,w)))),f21(cross_product(u,range_of(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),w)** equal(f27(second(ordered_pair(f19(cross_product(u,range_of(non_ordered_pair(v,w)))),f21(cross_product(u,range_of(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34512[0:Res:554.1,1438.0] || -> single_valued_set(cross_product(sigma(non_ordered_pair(u,v)),w)) equal(f16(first(ordered_pair(f19(cross_product(sigma(non_ordered_pair(u,v)),w)),f20(cross_product(sigma(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),v)** equal(f16(first(ordered_pair(f19(cross_product(sigma(non_ordered_pair(u,v)),w)),f20(cross_product(sigma(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34511[0:Res:553.1,1438.0] || -> single_valued_set(cross_product(sigma(non_ordered_pair(u,v)),w)) equal(f16(first(ordered_pair(f19(cross_product(sigma(non_ordered_pair(u,v)),w)),f21(cross_product(sigma(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),v)** equal(f16(first(ordered_pair(f19(cross_product(sigma(non_ordered_pair(u,v)),w)),f21(cross_product(sigma(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34501[0:Res:136.1,1438.0] || member(u,compose(v,sigma(non_ordered_pair(w,x)))) -> equal(f16(ordered_pair(f31(u,v,sigma(non_ordered_pair(w,x))),f30(u,v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f16(ordered_pair(f31(u,v,sigma(non_ordered_pair(w,x))),f30(u,v,sigma(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34493[0:Res:135.1,1438.0] || member(u,compose(sigma(non_ordered_pair(v,w)),x)) -> equal(f16(ordered_pair(f29(u,sigma(non_ordered_pair(v,w)),x),f31(u,sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f16(ordered_pair(f29(u,sigma(non_ordered_pair(v,w)),x),f31(u,sigma(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34462[0:Res:541.1,1438.0] || -> single_valued_set(cross_product(u,sigma(non_ordered_pair(v,w)))) equal(f16(second(ordered_pair(f19(cross_product(u,sigma(non_ordered_pair(v,w)))),f20(cross_product(u,sigma(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),w)** equal(f16(second(ordered_pair(f19(cross_product(u,sigma(non_ordered_pair(v,w)))),f20(cross_product(u,sigma(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34461[0:Res:540.1,1438.0] || -> single_valued_set(cross_product(u,sigma(non_ordered_pair(v,w)))) equal(f16(second(ordered_pair(f19(cross_product(u,sigma(non_ordered_pair(v,w)))),f21(cross_product(u,sigma(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),w)** equal(f16(second(ordered_pair(f19(cross_product(u,sigma(non_ordered_pair(v,w)))),f21(cross_product(u,sigma(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34677[0:Res:554.1,1439.0] || -> single_valued_set(cross_product(domain_of(non_ordered_pair(u,v)),w)) equal(f8(first(ordered_pair(f19(cross_product(domain_of(non_ordered_pair(u,v)),w)),f20(cross_product(domain_of(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),v)** equal(f8(first(ordered_pair(f19(cross_product(domain_of(non_ordered_pair(u,v)),w)),f20(cross_product(domain_of(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34676[0:Res:553.1,1439.0] || -> single_valued_set(cross_product(domain_of(non_ordered_pair(u,v)),w)) equal(f8(first(ordered_pair(f19(cross_product(domain_of(non_ordered_pair(u,v)),w)),f21(cross_product(domain_of(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),v)** equal(f8(first(ordered_pair(f19(cross_product(domain_of(non_ordered_pair(u,v)),w)),f21(cross_product(domain_of(non_ordered_pair(u,v)),w)))),non_ordered_pair(u,v)),u)**. % 300.16/300.43 34666[0:Res:136.1,1439.0] || member(u,compose(v,domain_of(non_ordered_pair(w,x)))) -> equal(f8(ordered_pair(f31(u,v,domain_of(non_ordered_pair(w,x))),f30(u,v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),x)** equal(f8(ordered_pair(f31(u,v,domain_of(non_ordered_pair(w,x))),f30(u,v,domain_of(non_ordered_pair(w,x)))),non_ordered_pair(w,x)),w)**. % 300.16/300.43 34658[0:Res:135.1,1439.0] || member(u,compose(domain_of(non_ordered_pair(v,w)),x)) -> equal(f8(ordered_pair(f29(u,domain_of(non_ordered_pair(v,w)),x),f31(u,domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),w)** equal(f8(ordered_pair(f29(u,domain_of(non_ordered_pair(v,w)),x),f31(u,domain_of(non_ordered_pair(v,w)),x)),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34627[0:Res:541.1,1439.0] || -> single_valued_set(cross_product(u,domain_of(non_ordered_pair(v,w)))) equal(f8(second(ordered_pair(f19(cross_product(u,domain_of(non_ordered_pair(v,w)))),f20(cross_product(u,domain_of(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),w)** equal(f8(second(ordered_pair(f19(cross_product(u,domain_of(non_ordered_pair(v,w)))),f20(cross_product(u,domain_of(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 34626[0:Res:540.1,1439.0] || -> single_valued_set(cross_product(u,domain_of(non_ordered_pair(v,w)))) equal(f8(second(ordered_pair(f19(cross_product(u,domain_of(non_ordered_pair(v,w)))),f21(cross_product(u,domain_of(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),w)** equal(f8(second(ordered_pair(f19(cross_product(u,domain_of(non_ordered_pair(v,w)))),f21(cross_product(u,domain_of(non_ordered_pair(v,w)))))),non_ordered_pair(v,w)),v)**. % 300.16/300.43 41264[0:Res:4286.1,5070.1] || member(u,compose(v,intersection(w,ordered_pair(f13(x,y),f14(x,y))))) member(x,flip_range_of(y)) equal(z,x) -> member(ordered_pair(f31(u,v,intersection(w,ordered_pair(f13(x,y),f14(x,y)))),f30(u,v,intersection(w,ordered_pair(f13(x,y),f14(x,y))))),second(z))*. % 300.16/300.43 41263[0:Res:4286.1,5068.1] || member(u,compose(v,intersection(w,ordered_pair(f10(x,y),f11(x,y))))) member(x,rotate_right(y)) equal(z,x) -> member(ordered_pair(f31(u,v,intersection(w,ordered_pair(f10(x,y),f11(x,y)))),f30(u,v,intersection(w,ordered_pair(f10(x,y),f11(x,y))))),second(z))*. % 300.16/300.43 41253[0:Res:4286.1,1421.0] || member(u,compose(v,intersection(w,ordered_pair(x,y)))) -> equal(ordered_pair(f31(u,v,intersection(w,ordered_pair(x,y))),f30(u,v,intersection(w,ordered_pair(x,y)))),non_ordered_pair(x,y))** equal(ordered_pair(f31(u,v,intersection(w,ordered_pair(x,y))),f30(u,v,intersection(w,ordered_pair(x,y)))),singleton_set(x)). % 300.16/300.43 41503[0:Res:4285.1,5070.1] || member(u,compose(v,intersection(ordered_pair(f13(w,x),f14(w,x)),y))) member(w,flip_range_of(x)) equal(z,w) -> member(ordered_pair(f31(u,v,intersection(ordered_pair(f13(w,x),f14(w,x)),y)),f30(u,v,intersection(ordered_pair(f13(w,x),f14(w,x)),y))),second(z))*. % 300.16/300.43 41502[0:Res:4285.1,5068.1] || member(u,compose(v,intersection(ordered_pair(f10(w,x),f11(w,x)),y))) member(w,rotate_right(x)) equal(z,w) -> member(ordered_pair(f31(u,v,intersection(ordered_pair(f10(w,x),f11(w,x)),y)),f30(u,v,intersection(ordered_pair(f10(w,x),f11(w,x)),y))),second(z))*. % 300.16/300.43 41492[0:Res:4285.1,1421.0] || member(u,compose(v,intersection(ordered_pair(w,x),y))) -> equal(ordered_pair(f31(u,v,intersection(ordered_pair(w,x),y)),f30(u,v,intersection(ordered_pair(w,x),y))),non_ordered_pair(w,x))** equal(ordered_pair(f31(u,v,intersection(ordered_pair(w,x),y)),f30(u,v,intersection(ordered_pair(w,x),y))),singleton_set(w)). % 300.16/300.43 41641[0:Res:4361.1,5070.1] || member(u,compose(intersection(v,ordered_pair(f13(w,x),f14(w,x))),y)) member(w,flip_range_of(x)) equal(z,w) -> member(ordered_pair(f29(u,intersection(v,ordered_pair(f13(w,x),f14(w,x))),y),f31(u,intersection(v,ordered_pair(f13(w,x),f14(w,x))),y)),second(z))*. % 300.16/300.43 41640[0:Res:4361.1,5068.1] || member(u,compose(intersection(v,ordered_pair(f10(w,x),f11(w,x))),y)) member(w,rotate_right(x)) equal(z,w) -> member(ordered_pair(f29(u,intersection(v,ordered_pair(f10(w,x),f11(w,x))),y),f31(u,intersection(v,ordered_pair(f10(w,x),f11(w,x))),y)),second(z))*. % 300.16/300.43 41630[0:Res:4361.1,1421.0] || member(u,compose(intersection(v,ordered_pair(w,x)),y)) -> equal(ordered_pair(f29(u,intersection(v,ordered_pair(w,x)),y),f31(u,intersection(v,ordered_pair(w,x)),y)),non_ordered_pair(w,x))** equal(ordered_pair(f29(u,intersection(v,ordered_pair(w,x)),y),f31(u,intersection(v,ordered_pair(w,x)),y)),singleton_set(w)). % 300.16/300.43 41763[0:Res:4360.1,5070.1] || member(u,compose(intersection(ordered_pair(f13(v,w),f14(v,w)),x),y)) member(v,flip_range_of(w)) equal(z,v) -> member(ordered_pair(f29(u,intersection(ordered_pair(f13(v,w),f14(v,w)),x),y),f31(u,intersection(ordered_pair(f13(v,w),f14(v,w)),x),y)),second(z))*. % 300.16/300.43 41762[0:Res:4360.1,5068.1] || member(u,compose(intersection(ordered_pair(f10(v,w),f11(v,w)),x),y)) member(v,rotate_right(w)) equal(z,v) -> member(ordered_pair(f29(u,intersection(ordered_pair(f10(v,w),f11(v,w)),x),y),f31(u,intersection(ordered_pair(f10(v,w),f11(v,w)),x),y)),second(z))*. % 300.16/300.43 41752[0:Res:4360.1,1421.0] || member(u,compose(intersection(ordered_pair(v,w),x),y)) -> equal(ordered_pair(f29(u,intersection(ordered_pair(v,w),x),y),f31(u,intersection(ordered_pair(v,w),x),y)),non_ordered_pair(v,w))** equal(ordered_pair(f29(u,intersection(ordered_pair(v,w),x),y),f31(u,intersection(ordered_pair(v,w),x),y)),singleton_set(v)). % 300.16/300.43 42355[0:Res:4279.1,1163.0] || member(u,compose(v,cross_product(w,converse(x)))) member(x,y) -> member(ordered_pair(second(second(ordered_pair(f31(u,v,cross_product(w,converse(x))),f30(u,v,cross_product(w,converse(x)))))),first(second(ordered_pair(f31(u,v,cross_product(w,converse(x))),f30(u,v,cross_product(w,converse(x))))))),sigma(y))*. % 300.16/300.43 42466[0:Res:4278.1,1163.0] || member(u,compose(v,cross_product(converse(w),x))) member(w,y) -> member(ordered_pair(second(first(ordered_pair(f31(u,v,cross_product(converse(w),x)),f30(u,v,cross_product(converse(w),x))))),first(first(ordered_pair(f31(u,v,cross_product(converse(w),x)),f30(u,v,cross_product(converse(w),x)))))),sigma(y))*. % 300.16/300.43 42613[0:Res:4354.1,1163.0] || member(u,compose(cross_product(v,converse(w)),x)) member(w,y) -> member(ordered_pair(second(second(ordered_pair(f29(u,cross_product(v,converse(w)),x),f31(u,cross_product(v,converse(w)),x)))),first(second(ordered_pair(f29(u,cross_product(v,converse(w)),x),f31(u,cross_product(v,converse(w)),x))))),sigma(y))*. % 300.16/300.43 42755[0:Res:4353.1,1163.0] || member(u,compose(cross_product(converse(v),w),x)) member(v,y) -> member(ordered_pair(second(first(ordered_pair(f29(u,cross_product(converse(v),w),x),f31(u,cross_product(converse(v),w),x)))),first(first(ordered_pair(f29(u,cross_product(converse(v),w),x),f31(u,cross_product(converse(v),w),x))))),sigma(y))*. % 300.16/300.43 47293[0:Res:4770.2,1558.0] || member(u,rotate_right(v)) subset(v,image(non_ordered_pair(w,x),y)) -> equal(first(f22(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x),y)),x)** equal(first(f22(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47291[0:Res:4622.2,1558.0] || member(u,flip_range_of(v)) subset(v,image(non_ordered_pair(w,x),y)) -> equal(first(f22(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x),y)),x)** equal(first(f22(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 67789[3:Res:1080.2,6233.0] little_set(second(f1(u,cross_product(v,ordered_pair(w,x))))) || equal(second(f1(u,cross_product(v,ordered_pair(w,x)))),non_ordered_pair(w,x)) member(first(f1(u,cross_product(v,ordered_pair(w,x)))),v)* member(f1(u,cross_product(v,ordered_pair(w,x))),u)* -> equal(u,cross_product(v,ordered_pair(w,x))). % 300.16/300.43 67860[0:Res:120.1,5233.4] little_set(u) single_valued_set(second(f28(ordered_pair(f29(v,w,x),u),y,z))) || member(ordered_pair(f29(v,w,x),u),apply(y,z)) member(v,compose(w,x)) member(v,second(f28(ordered_pair(f29(v,w,x),u),y,z)))* -> equal(u,f30(v,w,x)). % 300.16/300.43 70560[0:Res:5270.4,1354.0] || closed(u,v) closed(intersection(w,image(x,cross_product(y,z))),x1) maps(x2,intersection(w,image(x,cross_product(y,z))),u) -> homomorphism(x2,intersection(w,image(x,cross_product(y,z))),x1,u,v) member(f33(x2,intersection(w,image(x,cross_product(y,z))),x1,u,v),z)*. % 300.16/300.43 70656[0:Res:5269.4,1354.0] || closed(u,v) closed(intersection(image(w,cross_product(x,y)),z),x1) maps(x2,intersection(image(w,cross_product(x,y)),z),u) -> homomorphism(x2,intersection(image(w,cross_product(x,y)),z),x1,u,v) member(f33(x2,intersection(image(w,cross_product(x,y)),z),x1,u,v),y)*. % 300.16/300.43 70780[0:Res:5315.4,1354.0] || closed(u,v) closed(intersection(w,image(x,cross_product(y,z))),x1) maps(x2,intersection(w,image(x,cross_product(y,z))),u) -> homomorphism(x2,intersection(w,image(x,cross_product(y,z))),x1,u,v) member(f32(x2,intersection(w,image(x,cross_product(y,z))),x1,u,v),z)*. % 300.16/300.43 70860[0:Res:5314.4,1354.0] || closed(u,v) closed(intersection(image(w,cross_product(x,y)),z),x1) maps(x2,intersection(image(w,cross_product(x,y)),z),u) -> homomorphism(x2,intersection(image(w,cross_product(x,y)),z),x1,u,v) member(f32(x2,intersection(image(w,cross_product(x,y)),z),x1,u,v),y)*. % 300.16/300.43 71405[3:Res:5263.4,6192.1] || closed(u,v) closed(cross_product(w,second(x)),y) maps(z,cross_product(w,second(x)),u) member(x,x1) equal(first(x),x2) -> homomorphism(z,cross_product(w,second(x)),y,u,v) member(second(f33(z,cross_product(w,second(x)),y,u,v)),apply(x1,x2))*. % 300.16/300.43 71510[3:Res:5262.4,6192.1] || closed(u,v) closed(cross_product(second(w),x),y) maps(z,cross_product(second(w),x),u) member(w,x1) equal(first(w),x2) -> homomorphism(z,cross_product(second(w),x),y,u,v) member(first(f33(z,cross_product(second(w),x),y,u,v)),apply(x1,x2))*. % 300.16/300.43 71656[3:Res:5308.4,6192.1] || closed(u,v) closed(cross_product(w,second(x)),y) maps(z,cross_product(w,second(x)),u) member(x,x1) equal(first(x),x2) -> homomorphism(z,cross_product(w,second(x)),y,u,v) member(second(f32(z,cross_product(w,second(x)),y,u,v)),apply(x1,x2))*. % 300.16/300.43 71909[3:Res:5307.4,6192.1] || closed(u,v) closed(cross_product(second(w),x),y) maps(z,cross_product(second(w),x),u) member(w,x1) equal(first(w),x2) -> homomorphism(z,cross_product(second(w),x),y,u,v) member(first(f32(z,cross_product(second(w),x),y,u,v)),apply(x1,x2))*. % 300.16/300.43 73567[0:Res:963.2,4280.0] || member(u,range_of(v)) subset(v,compose(w,non_ordered_pair(x,y))) -> equal(ordered_pair(f31(f27(u,v),w,non_ordered_pair(x,y)),f30(f27(u,v),w,non_ordered_pair(x,y))),y)** equal(ordered_pair(f31(f27(u,v),w,non_ordered_pair(x,y)),f30(f27(u,v),w,non_ordered_pair(x,y))),x)**. % 300.16/300.43 73565[0:Res:964.2,4280.0] || member(u,sigma(v)) subset(v,compose(w,non_ordered_pair(x,y))) -> equal(ordered_pair(f31(f16(u,v),w,non_ordered_pair(x,y)),f30(f16(u,v),w,non_ordered_pair(x,y))),y)** equal(ordered_pair(f31(f16(u,v),w,non_ordered_pair(x,y)),f30(f16(u,v),w,non_ordered_pair(x,y))),x)**. % 300.16/300.43 73563[0:Res:965.2,4280.0] || member(u,domain_of(v)) subset(v,compose(w,non_ordered_pair(x,y))) -> equal(ordered_pair(f31(f8(u,v),w,non_ordered_pair(x,y)),f30(f8(u,v),w,non_ordered_pair(x,y))),y)** equal(ordered_pair(f31(f8(u,v),w,non_ordered_pair(x,y)),f30(f8(u,v),w,non_ordered_pair(x,y))),x)**. % 300.16/300.43 73782[0:Res:963.2,4355.0] || member(u,range_of(v)) subset(v,compose(non_ordered_pair(w,x),y)) -> equal(ordered_pair(f29(f27(u,v),non_ordered_pair(w,x),y),f31(f27(u,v),non_ordered_pair(w,x),y)),x)** equal(ordered_pair(f29(f27(u,v),non_ordered_pair(w,x),y),f31(f27(u,v),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 73780[0:Res:964.2,4355.0] || member(u,sigma(v)) subset(v,compose(non_ordered_pair(w,x),y)) -> equal(ordered_pair(f29(f16(u,v),non_ordered_pair(w,x),y),f31(f16(u,v),non_ordered_pair(w,x),y)),x)** equal(ordered_pair(f29(f16(u,v),non_ordered_pair(w,x),y),f31(f16(u,v),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 73778[0:Res:965.2,4355.0] || member(u,domain_of(v)) subset(v,compose(non_ordered_pair(w,x),y)) -> equal(ordered_pair(f29(f8(u,v),non_ordered_pair(w,x),y),f31(f8(u,v),non_ordered_pair(w,x),y)),x)** equal(ordered_pair(f29(f8(u,v),non_ordered_pair(w,x),y),f31(f8(u,v),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 74052[0:Res:67.1,6084.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),sigma(y)) member(w,rotate_right(x)) equal(v,w) member(ordered_pair(f9(w,x),u),z) -> member(v,compose(z,f16(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),y)))*. % 300.16/300.43 74051[0:Res:21.1,6084.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),first(y)) member(w,rotate_right(x)) equal(v,w) member(ordered_pair(f9(w,x),u),z) -> member(v,compose(z,f4(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),y)))*. % 300.16/300.43 74050[0:Res:26.1,6084.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),second(y)) member(w,rotate_right(x)) equal(v,w) member(ordered_pair(f9(w,x),u),z) -> member(v,compose(z,f7(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),y)))*. % 300.16/300.43 74162[0:Res:67.1,6086.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),sigma(y)) member(w,flip_range_of(x)) equal(v,w) member(ordered_pair(f12(w,x),u),z) -> member(v,compose(z,f16(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),y)))*. % 300.16/300.43 74161[0:Res:21.1,6086.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),first(y)) member(w,flip_range_of(x)) equal(v,w) member(ordered_pair(f12(w,x),u),z) -> member(v,compose(z,f4(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),y)))*. % 300.16/300.43 74160[0:Res:26.1,6086.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),second(y)) member(w,flip_range_of(x)) equal(v,w) member(ordered_pair(f12(w,x),u),z) -> member(v,compose(z,f7(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),y)))*. % 300.16/300.43 74468[16:Res:56731.1,4629.0] || subset(universal_set,flip_range_of(non_ordered_pair(u,v))) -> equal(ordered_pair(f12(powerset(a),non_ordered_pair(u,v)),ordered_pair(f14(powerset(a),non_ordered_pair(u,v)),f13(powerset(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(powerset(a),non_ordered_pair(u,v)),ordered_pair(f14(powerset(a),non_ordered_pair(u,v)),f13(powerset(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74464[16:Res:56369.1,4629.0] || subset(universal_set,flip_range_of(non_ordered_pair(u,v))) -> equal(ordered_pair(f12(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f14(singleton_set(a),non_ordered_pair(u,v)),f13(singleton_set(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f14(singleton_set(a),non_ordered_pair(u,v)),f13(singleton_set(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74457[7:Res:26333.1,4629.0] || subset(universal_set,flip_range_of(non_ordered_pair(u,v))) -> equal(ordered_pair(f12(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f14(sigma(infinity),non_ordered_pair(u,v)),f13(sigma(infinity),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f14(sigma(infinity),non_ordered_pair(u,v)),f13(sigma(infinity),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74664[16:Res:56731.1,4777.0] || subset(universal_set,rotate_right(non_ordered_pair(u,v))) -> equal(ordered_pair(f10(powerset(a),non_ordered_pair(u,v)),ordered_pair(f11(powerset(a),non_ordered_pair(u,v)),f9(powerset(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(powerset(a),non_ordered_pair(u,v)),ordered_pair(f11(powerset(a),non_ordered_pair(u,v)),f9(powerset(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74660[16:Res:56369.1,4777.0] || subset(universal_set,rotate_right(non_ordered_pair(u,v))) -> equal(ordered_pair(f10(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f11(singleton_set(a),non_ordered_pair(u,v)),f9(singleton_set(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f11(singleton_set(a),non_ordered_pair(u,v)),f9(singleton_set(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74653[7:Res:26333.1,4777.0] || subset(universal_set,rotate_right(non_ordered_pair(u,v))) -> equal(ordered_pair(f10(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f11(sigma(infinity),non_ordered_pair(u,v)),f9(sigma(infinity),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f11(sigma(infinity),non_ordered_pair(u,v)),f9(sigma(infinity),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 97150[0:SSi:97051.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(converse(powerset(ordered_pair(second(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x)))),first(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x)))))))))*. % 300.16/300.43 97151[0:SSi:97050.0,3910.0,371.0,371.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(converse(powerset(ordered_pair(second(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x)))),first(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x)))))))))*. % 300.16/300.43 97152[3:SSi:97045.0,5742.0,371.0,3910.0,371.2,371.0,371.1] little_set(u) little_set(v) || member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(converse(powerset(ordered_pair(second(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u))),first(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u))))))))*. % 300.16/300.43 97153[3:SSi:97044.0,5742.0,371.0,3910.0,371.2,371.0,371.1] little_set(u) little_set(v) || member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(converse(powerset(ordered_pair(second(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u))),first(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u))))))))*. % 300.16/300.43 17942[0:Res:142.3,1014.0] || closed(u,v) closed(converse(cross_product(w,x)),y) maps(z,converse(cross_product(w,x)),u) -> homomorphism(z,converse(cross_product(w,x)),y,u,v) member(first(ordered_pair(second(f32(z,converse(cross_product(w,x)),y,u,v)),first(f32(z,converse(cross_product(w,x)),y,u,v)))),w)*. % 300.16/300.43 17941[0:Res:143.3,1014.0] || closed(u,v) closed(converse(cross_product(w,x)),y) maps(z,converse(cross_product(w,x)),u) -> homomorphism(z,converse(cross_product(w,x)),y,u,v) member(first(ordered_pair(second(f33(z,converse(cross_product(w,x)),y,u,v)),first(f33(z,converse(cross_product(w,x)),y,u,v)))),w)*. % 300.16/300.43 18066[0:Res:142.3,1015.0] || closed(u,v) closed(converse(cross_product(w,x)),y) maps(z,converse(cross_product(w,x)),u) -> homomorphism(z,converse(cross_product(w,x)),y,u,v) member(second(ordered_pair(second(f32(z,converse(cross_product(w,x)),y,u,v)),first(f32(z,converse(cross_product(w,x)),y,u,v)))),x)*. % 300.16/300.43 18065[0:Res:143.3,1015.0] || closed(u,v) closed(converse(cross_product(w,x)),y) maps(z,converse(cross_product(w,x)),u) -> homomorphism(z,converse(cross_product(w,x)),y,u,v) member(second(ordered_pair(second(f33(z,converse(cross_product(w,x)),y,u,v)),first(f33(z,converse(cross_product(w,x)),y,u,v)))),x)*. % 300.16/300.43 33603[0:Res:456.1,1441.0] || member(u,sigma(intersection(v,converse(non_ordered_pair(w,x))))) -> equal(ordered_pair(second(f16(u,intersection(v,converse(non_ordered_pair(w,x))))),first(f16(u,intersection(v,converse(non_ordered_pair(w,x)))))),x)** equal(ordered_pair(second(f16(u,intersection(v,converse(non_ordered_pair(w,x))))),first(f16(u,intersection(v,converse(non_ordered_pair(w,x)))))),w)**. % 300.16/300.43 33570[0:Res:455.1,1441.0] || member(u,sigma(intersection(converse(non_ordered_pair(v,w)),x))) -> equal(ordered_pair(second(f16(u,intersection(converse(non_ordered_pair(v,w)),x))),first(f16(u,intersection(converse(non_ordered_pair(v,w)),x)))),w)** equal(ordered_pair(second(f16(u,intersection(converse(non_ordered_pair(v,w)),x))),first(f16(u,intersection(converse(non_ordered_pair(v,w)),x)))),v)**. % 300.16/300.43 40256[0:Res:52.1,5068.1] || member(u,rotate_right(ordered_pair(f10(v,w),f11(v,w)))) member(v,rotate_right(w)) equal(x,v) -> member(ordered_pair(f10(u,ordered_pair(f10(v,w),f11(v,w))),ordered_pair(f11(u,ordered_pair(f10(v,w),f11(v,w))),f9(u,ordered_pair(f10(v,w),f11(v,w))))),second(x))*. % 300.16/300.43 40255[0:Res:58.1,5068.1] || member(u,flip_range_of(ordered_pair(f10(v,w),f11(v,w)))) member(v,rotate_right(w)) equal(x,v) -> member(ordered_pair(f12(u,ordered_pair(f10(v,w),f11(v,w))),ordered_pair(f14(u,ordered_pair(f10(v,w),f11(v,w))),f13(u,ordered_pair(f10(v,w),f11(v,w))))),second(x))*. % 300.16/300.43 40436[0:Res:52.1,5070.1] || member(u,rotate_right(ordered_pair(f13(v,w),f14(v,w)))) member(v,flip_range_of(w)) equal(x,v) -> member(ordered_pair(f10(u,ordered_pair(f13(v,w),f14(v,w))),ordered_pair(f11(u,ordered_pair(f13(v,w),f14(v,w))),f9(u,ordered_pair(f13(v,w),f14(v,w))))),second(x))*. % 300.16/300.43 40435[0:Res:58.1,5070.1] || member(u,flip_range_of(ordered_pair(f13(v,w),f14(v,w)))) member(v,flip_range_of(w)) equal(x,v) -> member(ordered_pair(f12(u,ordered_pair(f13(v,w),f14(v,w))),ordered_pair(f14(u,ordered_pair(f13(v,w),f14(v,w))),f13(u,ordered_pair(f13(v,w),f14(v,w))))),second(x))*. % 300.16/300.43 40525[3:Res:378.3,6235.0] ordered_pair_predicate(second(f17(u,cross_product(v,cross_product(w,x))))) || member(second(second(f17(u,cross_product(v,cross_product(w,x))))),x)* member(first(second(f17(u,cross_product(v,cross_product(w,x))))),w)* member(first(f17(u,cross_product(v,cross_product(w,x)))),v)* -> subset(u,cross_product(v,cross_product(w,x))). % 300.16/300.43 42394[0:Res:4279.1,5070.1] || member(u,compose(v,cross_product(w,ordered_pair(f13(x,y),f14(x,y))))) member(x,flip_range_of(y)) equal(z,x) -> member(second(ordered_pair(f31(u,v,cross_product(w,ordered_pair(f13(x,y),f14(x,y)))),f30(u,v,cross_product(w,ordered_pair(f13(x,y),f14(x,y)))))),second(z))*. % 300.16/300.43 42393[0:Res:4279.1,5068.1] || member(u,compose(v,cross_product(w,ordered_pair(f10(x,y),f11(x,y))))) member(x,rotate_right(y)) equal(z,x) -> member(second(ordered_pair(f31(u,v,cross_product(w,ordered_pair(f10(x,y),f11(x,y)))),f30(u,v,cross_product(w,ordered_pair(f10(x,y),f11(x,y)))))),second(z))*. % 300.16/300.43 42505[0:Res:4278.1,5070.1] || member(u,compose(v,cross_product(ordered_pair(f13(w,x),f14(w,x)),y))) member(w,flip_range_of(x)) equal(z,w) -> member(first(ordered_pair(f31(u,v,cross_product(ordered_pair(f13(w,x),f14(w,x)),y)),f30(u,v,cross_product(ordered_pair(f13(w,x),f14(w,x)),y)))),second(z))*. % 300.16/300.43 42504[0:Res:4278.1,5068.1] || member(u,compose(v,cross_product(ordered_pair(f10(w,x),f11(w,x)),y))) member(w,rotate_right(x)) equal(z,w) -> member(first(ordered_pair(f31(u,v,cross_product(ordered_pair(f10(w,x),f11(w,x)),y)),f30(u,v,cross_product(ordered_pair(f10(w,x),f11(w,x)),y)))),second(z))*. % 300.16/300.43 42652[0:Res:4354.1,5070.1] || member(u,compose(cross_product(v,ordered_pair(f13(w,x),f14(w,x))),y)) member(w,flip_range_of(x)) equal(z,w) -> member(second(ordered_pair(f29(u,cross_product(v,ordered_pair(f13(w,x),f14(w,x))),y),f31(u,cross_product(v,ordered_pair(f13(w,x),f14(w,x))),y))),second(z))*. % 300.16/300.43 42651[0:Res:4354.1,5068.1] || member(u,compose(cross_product(v,ordered_pair(f10(w,x),f11(w,x))),y)) member(w,rotate_right(x)) equal(z,w) -> member(second(ordered_pair(f29(u,cross_product(v,ordered_pair(f10(w,x),f11(w,x))),y),f31(u,cross_product(v,ordered_pair(f10(w,x),f11(w,x))),y))),second(z))*. % 300.16/300.43 42794[0:Res:4353.1,5070.1] || member(u,compose(cross_product(ordered_pair(f13(v,w),f14(v,w)),x),y)) member(v,flip_range_of(w)) equal(z,v) -> member(first(ordered_pair(f29(u,cross_product(ordered_pair(f13(v,w),f14(v,w)),x),y),f31(u,cross_product(ordered_pair(f13(v,w),f14(v,w)),x),y))),second(z))*. % 300.16/300.43 42793[0:Res:4353.1,5068.1] || member(u,compose(cross_product(ordered_pair(f10(v,w),f11(v,w)),x),y)) member(v,rotate_right(w)) equal(z,v) -> member(first(ordered_pair(f29(u,cross_product(ordered_pair(f10(v,w),f11(v,w)),x),y),f31(u,cross_product(ordered_pair(f10(v,w),f11(v,w)),x),y))),second(z))*. % 300.16/300.43 42938[0:Res:3842.1,1442.0] || -> equal(intersection(u,v),apply(non_ordered_pair(w,x),y)) member(f1(intersection(u,v),apply(non_ordered_pair(w,x),y)),u)* equal(f28(f1(intersection(u,v),apply(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y),x)** equal(f28(f1(intersection(u,v),apply(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42937[0:Res:3843.1,1442.0] || -> equal(intersection(u,v),apply(non_ordered_pair(w,x),y)) member(f1(intersection(u,v),apply(non_ordered_pair(w,x),y)),v)* equal(f28(f1(intersection(u,v),apply(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y),x)** equal(f28(f1(intersection(u,v),apply(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42936[0:Res:3825.2,1442.0] || -> equal(u,intersection(v,apply(non_ordered_pair(w,x),y))) member(f1(u,intersection(v,apply(non_ordered_pair(w,x),y))),u)* equal(f28(f1(u,intersection(v,apply(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y),x)** equal(f28(f1(u,intersection(v,apply(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42906[0:Res:3843.2,1442.0] || -> equal(intersection(u,apply(non_ordered_pair(v,w),x)),y) member(f1(intersection(u,apply(non_ordered_pair(v,w),x)),y),y)* equal(f28(f1(intersection(u,apply(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x),w)** equal(f28(f1(intersection(u,apply(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x),v)**. % 300.16/300.43 42905[0:Res:3824.2,1442.0] || -> equal(u,intersection(apply(non_ordered_pair(v,w),x),y)) member(f1(u,intersection(apply(non_ordered_pair(v,w),x),y)),u)* equal(f28(f1(u,intersection(apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),w)** equal(f28(f1(u,intersection(apply(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x),v)**. % 300.16/300.43 42872[0:Res:3842.2,1442.0] || -> equal(intersection(apply(non_ordered_pair(u,v),w),x),y) member(f1(intersection(apply(non_ordered_pair(u,v),w),x),y),y)* equal(f28(f1(intersection(apply(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w),v)** equal(f28(f1(intersection(apply(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w),u)**. % 300.16/300.43 42866[0:Res:3824.1,1442.0] || -> equal(apply(non_ordered_pair(u,v),w),intersection(x,y)) member(f1(apply(non_ordered_pair(u,v),w),intersection(x,y)),x)* equal(f28(f1(apply(non_ordered_pair(u,v),w),intersection(x,y)),non_ordered_pair(u,v),w),v)** equal(f28(f1(apply(non_ordered_pair(u,v),w),intersection(x,y)),non_ordered_pair(u,v),w),u)**. % 300.16/300.43 42865[0:Res:3825.1,1442.0] || -> equal(apply(non_ordered_pair(u,v),w),intersection(x,y)) member(f1(apply(non_ordered_pair(u,v),w),intersection(x,y)),y)* equal(f28(f1(apply(non_ordered_pair(u,v),w),intersection(x,y)),non_ordered_pair(u,v),w),v)** equal(f28(f1(apply(non_ordered_pair(u,v),w),intersection(x,y)),non_ordered_pair(u,v),w),u)**. % 300.16/300.43 43115[0:Res:3842.1,1443.0] || -> equal(intersection(u,v),image(w,non_ordered_pair(x,y))) member(f1(intersection(u,v),image(w,non_ordered_pair(x,y))),u)* equal(f22(f1(intersection(u,v),image(w,non_ordered_pair(x,y))),w,non_ordered_pair(x,y)),y)** equal(f22(f1(intersection(u,v),image(w,non_ordered_pair(x,y))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43114[0:Res:3843.1,1443.0] || -> equal(intersection(u,v),image(w,non_ordered_pair(x,y))) member(f1(intersection(u,v),image(w,non_ordered_pair(x,y))),v)* equal(f22(f1(intersection(u,v),image(w,non_ordered_pair(x,y))),w,non_ordered_pair(x,y)),y)** equal(f22(f1(intersection(u,v),image(w,non_ordered_pair(x,y))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43113[0:Res:3825.2,1443.0] || -> equal(u,intersection(v,image(w,non_ordered_pair(x,y)))) member(f1(u,intersection(v,image(w,non_ordered_pair(x,y)))),u)* equal(f22(f1(u,intersection(v,image(w,non_ordered_pair(x,y)))),w,non_ordered_pair(x,y)),y)** equal(f22(f1(u,intersection(v,image(w,non_ordered_pair(x,y)))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43083[0:Res:3843.2,1443.0] || -> equal(intersection(u,image(v,non_ordered_pair(w,x))),y) member(f1(intersection(u,image(v,non_ordered_pair(w,x))),y),y)* equal(f22(f1(intersection(u,image(v,non_ordered_pair(w,x))),y),v,non_ordered_pair(w,x)),x)** equal(f22(f1(intersection(u,image(v,non_ordered_pair(w,x))),y),v,non_ordered_pair(w,x)),w)**. % 300.16/300.43 43082[0:Res:3824.2,1443.0] || -> equal(u,intersection(image(v,non_ordered_pair(w,x)),y)) member(f1(u,intersection(image(v,non_ordered_pair(w,x)),y)),u)* equal(f22(f1(u,intersection(image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),x)** equal(f22(f1(u,intersection(image(v,non_ordered_pair(w,x)),y)),v,non_ordered_pair(w,x)),w)**. % 300.16/300.43 43049[0:Res:3842.2,1443.0] || -> equal(intersection(image(u,non_ordered_pair(v,w)),x),y) member(f1(intersection(image(u,non_ordered_pair(v,w)),x),y),y)* equal(f22(f1(intersection(image(u,non_ordered_pair(v,w)),x),y),u,non_ordered_pair(v,w)),w)** equal(f22(f1(intersection(image(u,non_ordered_pair(v,w)),x),y),u,non_ordered_pair(v,w)),v)**. % 300.16/300.43 43043[0:Res:3824.1,1443.0] || -> equal(image(u,non_ordered_pair(v,w)),intersection(x,y)) member(f1(image(u,non_ordered_pair(v,w)),intersection(x,y)),x)* equal(f22(f1(image(u,non_ordered_pair(v,w)),intersection(x,y)),u,non_ordered_pair(v,w)),w)** equal(f22(f1(image(u,non_ordered_pair(v,w)),intersection(x,y)),u,non_ordered_pair(v,w)),v)**. % 300.16/300.43 43042[0:Res:3825.1,1443.0] || -> equal(image(u,non_ordered_pair(v,w)),intersection(x,y)) member(f1(image(u,non_ordered_pair(v,w)),intersection(x,y)),y)* equal(f22(f1(image(u,non_ordered_pair(v,w)),intersection(x,y)),u,non_ordered_pair(v,w)),w)** equal(f22(f1(image(u,non_ordered_pair(v,w)),intersection(x,y)),u,non_ordered_pair(v,w)),v)**. % 300.16/300.43 43426[0:Res:4108.2,1562.1] ordered_pair_predicate(second(f28(u,v,w))) || member(ordered_pair(second(second(f28(u,v,w))),first(second(f28(u,v,w)))),apply(x,y)) member(u,apply(v,w)) -> member(u,sigma(converse(second(f28(ordered_pair(second(second(f28(u,v,w))),first(second(f28(u,v,w)))),x,y)))))*. % 300.16/300.43 43493[3:SSi:43406.0,18197.0,371.1] ordered_pair_predicate(u) || member(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),apply(v,w)) member(ordered_pair(second(u),first(u)),x) -> member(u,converse(intersection(x,converse(second(f28(ordered_pair(second(ordered_pair(second(u),first(u))),first(ordered_pair(second(u),first(u)))),v,w))))))*. % 300.16/300.43 44318[3:Res:4635.1,6176.0] || member(u,flip_range_of(intersection(v,converse(w)))) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f12(u,intersection(v,converse(w))),ordered_pair(f14(u,intersection(v,converse(w))),f13(u,intersection(v,converse(w)))))),first(ordered_pair(f12(u,intersection(v,converse(w))),ordered_pair(f14(u,intersection(v,converse(w))),f13(u,intersection(v,converse(w))))))))*. % 300.16/300.43 44573[3:Res:4634.1,6176.0] || member(u,flip_range_of(intersection(converse(v),w))) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f12(u,intersection(converse(v),w)),ordered_pair(f14(u,intersection(converse(v),w)),f13(u,intersection(converse(v),w))))),first(ordered_pair(f12(u,intersection(converse(v),w)),ordered_pair(f14(u,intersection(converse(v),w)),f13(u,intersection(converse(v),w)))))))*. % 300.16/300.43 45092[3:Res:4783.1,6176.0] || member(u,rotate_right(intersection(v,converse(w)))) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f10(u,intersection(v,converse(w))),ordered_pair(f11(u,intersection(v,converse(w))),f9(u,intersection(v,converse(w)))))),first(ordered_pair(f10(u,intersection(v,converse(w))),ordered_pair(f11(u,intersection(v,converse(w))),f9(u,intersection(v,converse(w))))))))*. % 300.16/300.43 46219[3:Res:4782.1,6176.0] || member(u,rotate_right(intersection(converse(v),w))) -> ordered_pair_predicate(ordered_pair(second(ordered_pair(f10(u,intersection(converse(v),w)),ordered_pair(f11(u,intersection(converse(v),w)),f9(u,intersection(converse(v),w))))),first(ordered_pair(f10(u,intersection(converse(v),w)),ordered_pair(f11(u,intersection(converse(v),w)),f9(u,intersection(converse(v),w)))))))*. % 300.16/300.43 47312[0:Res:1549.1,1558.0] || member(u,image(cross_product(image(non_ordered_pair(v,w),x),y),z)) -> equal(first(f22(first(first(f22(u,cross_product(image(non_ordered_pair(v,w),x),y),z))),non_ordered_pair(v,w),x)),w)** equal(first(f22(first(first(f22(u,cross_product(image(non_ordered_pair(v,w),x),y),z))),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47254[0:Res:1550.1,1558.0] || member(u,image(cross_product(v,image(non_ordered_pair(w,x),y)),z)) -> equal(first(f22(second(first(f22(u,cross_product(v,image(non_ordered_pair(w,x),y)),z))),non_ordered_pair(w,x),y)),x)** equal(first(f22(second(first(f22(u,cross_product(v,image(non_ordered_pair(w,x),y)),z))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 67788[3:Res:3651.2,6233.0] || member(second(f1(u,cross_product(v,restrict(w,x)))),cross_product(x,universal_set))* member(second(f1(u,cross_product(v,restrict(w,x)))),w)* member(first(f1(u,cross_product(v,restrict(w,x)))),v)* member(f1(u,cross_product(v,restrict(w,x))),u)* -> equal(u,cross_product(v,restrict(w,x))). % 300.16/300.43 67871[0:Res:1008.2,5233.4] little_set(first(f27(f29(u,v,w),x))) single_valued_set(y) || member(f29(u,v,w),range_of(x)) member(f27(f29(u,v,w),x),converse(y))* member(u,compose(v,w)) member(u,y) -> equal(first(f27(f29(u,v,w),x)),f30(u,v,w)). % 300.16/300.43 68087[0:Res:5257.5,3811.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z) -> homomorphism(y,w,x,u,v) equal(x1,f33(y,w,x,u,v)) member(f1(x1,f33(y,w,x,u,v)),x1)* member(f1(x1,f33(y,w,x,u,v)),sigma(z))*. % 300.16/300.43 68086[0:Res:5257.5,3829.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z) -> homomorphism(y,w,x,u,v) equal(f33(y,w,x,u,v),x1) member(f1(f33(y,w,x,u,v),x1),x1)* member(f1(f33(y,w,x,u,v),x1),sigma(z))*. % 300.16/300.43 68190[0:Res:5302.5,3811.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z) -> homomorphism(y,w,x,u,v) equal(x1,f32(y,w,x,u,v)) member(f1(x1,f32(y,w,x,u,v)),x1)* member(f1(x1,f32(y,w,x,u,v)),sigma(z))*. % 300.16/300.43 68189[0:Res:5302.5,3829.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,z) -> homomorphism(y,w,x,u,v) equal(f32(y,w,x,u,v),x1) member(f1(f32(y,w,x,u,v),x1),x1)* member(f1(f32(y,w,x,u,v),x1),sigma(z))*. % 300.16/300.43 68763[0:Res:33.2,5268.3] || member(f33(u,complement(intersection(v,w)),x,y,z),w)* member(f33(u,complement(intersection(v,w)),x,y,z),v)* closed(y,z) closed(complement(intersection(v,w)),x) maps(u,complement(intersection(v,w)),y) -> homomorphism(u,complement(intersection(v,w)),x,y,z). % 300.16/300.43 68824[0:Res:33.2,5313.3] || member(f32(u,complement(intersection(v,w)),x,y,z),w)* member(f32(u,complement(intersection(v,w)),x,y,z),v)* closed(y,z) closed(complement(intersection(v,w)),x) maps(u,complement(intersection(v,w)),y) -> homomorphism(u,complement(intersection(v,w)),x,y,z). % 300.16/300.43 71164[0:Res:33.2,5363.4] little_set(u) little_set(v) || member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z)* member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),x1)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(intersection(x1,z)))*. % 300.16/300.43 71163[0:Res:120.1,5363.4] little_set(u) little_set(v) || member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),apply(z,x1)) member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(second(f28(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),z,x1))))*. % 300.16/300.43 71294[0:Res:33.2,6058.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z)* member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),x1)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(intersection(x1,z)))*. % 300.16/300.43 71293[0:Res:120.1,6058.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),apply(z,x1)) member(w,compose(x,y)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(second(f28(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),z,x1))))*. % 300.16/300.43 71400[0:Res:5263.4,1354.0] || closed(u,v) closed(cross_product(w,image(x,cross_product(y,z))),x1) maps(x2,cross_product(w,image(x,cross_product(y,z))),u) -> homomorphism(x2,cross_product(w,image(x,cross_product(y,z))),x1,u,v) member(second(f33(x2,cross_product(w,image(x,cross_product(y,z))),x1,u,v)),z)*. % 300.16/300.43 71376[3:Res:5263.4,6176.0] || closed(u,v) closed(cross_product(w,converse(x)),y) maps(z,cross_product(w,converse(x)),u) -> homomorphism(z,cross_product(w,converse(x)),y,u,v) ordered_pair_predicate(ordered_pair(second(second(f33(z,cross_product(w,converse(x)),y,u,v))),first(second(f33(z,cross_product(w,converse(x)),y,u,v)))))*. % 300.16/300.43 71505[0:Res:5262.4,1354.0] || closed(u,v) closed(cross_product(image(w,cross_product(x,y)),z),x1) maps(x2,cross_product(image(w,cross_product(x,y)),z),u) -> homomorphism(x2,cross_product(image(w,cross_product(x,y)),z),x1,u,v) member(first(f33(x2,cross_product(image(w,cross_product(x,y)),z),x1,u,v)),y)*. % 300.16/300.43 71481[3:Res:5262.4,6176.0] || closed(u,v) closed(cross_product(converse(w),x),y) maps(z,cross_product(converse(w),x),u) -> homomorphism(z,cross_product(converse(w),x),y,u,v) ordered_pair_predicate(ordered_pair(second(first(f33(z,cross_product(converse(w),x),y,u,v))),first(first(f33(z,cross_product(converse(w),x),y,u,v)))))*. % 300.16/300.43 71651[0:Res:5308.4,1354.0] || closed(u,v) closed(cross_product(w,image(x,cross_product(y,z))),x1) maps(x2,cross_product(w,image(x,cross_product(y,z))),u) -> homomorphism(x2,cross_product(w,image(x,cross_product(y,z))),x1,u,v) member(second(f32(x2,cross_product(w,image(x,cross_product(y,z))),x1,u,v)),z)*. % 300.16/300.43 71627[3:Res:5308.4,6176.0] || closed(u,v) closed(cross_product(w,converse(x)),y) maps(z,cross_product(w,converse(x)),u) -> homomorphism(z,cross_product(w,converse(x)),y,u,v) ordered_pair_predicate(ordered_pair(second(second(f32(z,cross_product(w,converse(x)),y,u,v))),first(second(f32(z,cross_product(w,converse(x)),y,u,v)))))*. % 300.16/300.43 71904[0:Res:5307.4,1354.0] || closed(u,v) closed(cross_product(image(w,cross_product(x,y)),z),x1) maps(x2,cross_product(image(w,cross_product(x,y)),z),u) -> homomorphism(x2,cross_product(image(w,cross_product(x,y)),z),x1,u,v) member(first(f32(x2,cross_product(image(w,cross_product(x,y)),z),x1,u,v)),y)*. % 300.16/300.43 71880[3:Res:5307.4,6176.0] || closed(u,v) closed(cross_product(converse(w),x),y) maps(z,cross_product(converse(w),x),u) -> homomorphism(z,cross_product(converse(w),x),y,u,v) ordered_pair_predicate(ordered_pair(second(first(f32(z,cross_product(converse(w),x),y,u,v))),first(first(f32(z,cross_product(converse(w),x),y,u,v)))))*. % 300.16/300.43 72571[0:Res:67.1,5365.4] little_set(u) little_set(v) || member(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),sigma(y)) member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(f16(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),y)))*. % 300.16/300.43 72570[0:Res:21.1,5365.4] little_set(u) little_set(v) || member(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),first(y)) member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(f4(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),y)))*. % 300.16/300.43 72569[0:Res:26.1,5365.4] little_set(u) little_set(v) || member(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),second(y)) member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(f7(ordered_pair(f9(w,x),ordered_pair(ordered_pair(f10(w,x),f11(w,x)),u)),y)))*. % 300.16/300.43 72986[0:Res:67.1,5367.4] little_set(u) little_set(v) || member(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),sigma(y)) member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(f16(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),y)))*. % 300.16/300.43 72985[0:Res:21.1,5367.4] little_set(u) little_set(v) || member(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),first(y)) member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(f4(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),y)))*. % 300.16/300.43 72984[0:Res:26.1,5367.4] little_set(u) little_set(v) || member(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),second(y)) member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> member(v,rotate_right(f7(ordered_pair(f12(w,x),ordered_pair(ordered_pair(f13(w,x),f14(w,x)),u)),y)))*. % 300.16/300.43 73214[0:Res:67.1,6060.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),sigma(y)) member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(f16(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),y)))*. % 300.16/300.43 73213[0:Res:21.1,6060.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),first(y)) member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(f4(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),y)))*. % 300.16/300.43 73212[0:Res:26.1,6060.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),second(y)) member(w,rotate_right(x)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(f7(ordered_pair(u,ordered_pair(ordered_pair(f10(w,x),f11(w,x)),f9(w,x))),y)))*. % 300.16/300.43 73407[0:Res:67.1,6062.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),sigma(y)) member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(f16(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),y)))*. % 300.16/300.43 73406[0:Res:21.1,6062.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),first(y)) member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(f4(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),y)))*. % 300.16/300.43 73405[0:Res:26.1,6062.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),second(y)) member(w,flip_range_of(x)) equal(v,ordered_pair(u,w)) -> member(v,flip_range_of(f7(ordered_pair(u,ordered_pair(ordered_pair(f13(w,x),f14(w,x)),f12(w,x))),y)))*. % 300.16/300.43 73954[0:Res:3651.2,6082.4] little_set(u) little_set(v) || member(ordered_pair(u,f30(w,x,y)),cross_product(z,universal_set))* member(ordered_pair(u,f30(w,x,y)),x1)* member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),x2)* -> member(v,compose(x2,restrict(x1,z)))*. % 300.16/300.43 74000[3:SSi:73936.0,5742.0,371.1] little_set(u) little_set(v) || member(second(ordered_pair(u,f30(w,x,y))),z)* member(first(ordered_pair(u,f30(w,x,y))),x1)* member(w,compose(x,y)) equal(v,w)* member(ordered_pair(f29(w,x,y),u),x2)* -> member(v,compose(x2,cross_product(x1,z)))*. % 300.16/300.43 74467[16:Res:56726.1,4629.0] || disjoint(universal_set,complement(flip_range_of(non_ordered_pair(u,v)))) -> equal(ordered_pair(f12(powerset(a),non_ordered_pair(u,v)),ordered_pair(f14(powerset(a),non_ordered_pair(u,v)),f13(powerset(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(powerset(a),non_ordered_pair(u,v)),ordered_pair(f14(powerset(a),non_ordered_pair(u,v)),f13(powerset(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74466[16:Res:56727.1,4629.0] || disjoint(complement(flip_range_of(non_ordered_pair(u,v))),universal_set) -> equal(ordered_pair(f12(powerset(a),non_ordered_pair(u,v)),ordered_pair(f14(powerset(a),non_ordered_pair(u,v)),f13(powerset(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(powerset(a),non_ordered_pair(u,v)),ordered_pair(f14(powerset(a),non_ordered_pair(u,v)),f13(powerset(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74465[16:Res:56728.1,4629.0] || member(universal_set,powerset(flip_range_of(non_ordered_pair(u,v)))) -> equal(ordered_pair(f12(powerset(a),non_ordered_pair(u,v)),ordered_pair(f14(powerset(a),non_ordered_pair(u,v)),f13(powerset(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(powerset(a),non_ordered_pair(u,v)),ordered_pair(f14(powerset(a),non_ordered_pair(u,v)),f13(powerset(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74463[16:Res:56365.1,4629.0] || disjoint(universal_set,complement(flip_range_of(non_ordered_pair(u,v)))) -> equal(ordered_pair(f12(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f14(singleton_set(a),non_ordered_pair(u,v)),f13(singleton_set(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f14(singleton_set(a),non_ordered_pair(u,v)),f13(singleton_set(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74462[16:Res:56366.1,4629.0] || disjoint(complement(flip_range_of(non_ordered_pair(u,v))),universal_set) -> equal(ordered_pair(f12(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f14(singleton_set(a),non_ordered_pair(u,v)),f13(singleton_set(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f14(singleton_set(a),non_ordered_pair(u,v)),f13(singleton_set(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74461[16:Res:56367.1,4629.0] || member(universal_set,powerset(flip_range_of(non_ordered_pair(u,v)))) -> equal(ordered_pair(f12(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f14(singleton_set(a),non_ordered_pair(u,v)),f13(singleton_set(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f14(singleton_set(a),non_ordered_pair(u,v)),f13(singleton_set(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74456[7:Res:26830.1,4629.0] || disjoint(universal_set,complement(flip_range_of(non_ordered_pair(u,v)))) -> equal(ordered_pair(f12(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f14(sigma(infinity),non_ordered_pair(u,v)),f13(sigma(infinity),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f14(sigma(infinity),non_ordered_pair(u,v)),f13(sigma(infinity),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74455[7:Res:26831.1,4629.0] || disjoint(complement(flip_range_of(non_ordered_pair(u,v))),universal_set) -> equal(ordered_pair(f12(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f14(sigma(infinity),non_ordered_pair(u,v)),f13(sigma(infinity),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f14(sigma(infinity),non_ordered_pair(u,v)),f13(sigma(infinity),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74454[7:Res:33376.1,4629.0] || member(universal_set,powerset(flip_range_of(non_ordered_pair(u,v)))) -> equal(ordered_pair(f12(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f14(sigma(infinity),non_ordered_pair(u,v)),f13(sigma(infinity),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f12(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f14(sigma(infinity),non_ordered_pair(u,v)),f13(sigma(infinity),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74663[16:Res:56726.1,4777.0] || disjoint(universal_set,complement(rotate_right(non_ordered_pair(u,v)))) -> equal(ordered_pair(f10(powerset(a),non_ordered_pair(u,v)),ordered_pair(f11(powerset(a),non_ordered_pair(u,v)),f9(powerset(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(powerset(a),non_ordered_pair(u,v)),ordered_pair(f11(powerset(a),non_ordered_pair(u,v)),f9(powerset(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74662[16:Res:56727.1,4777.0] || disjoint(complement(rotate_right(non_ordered_pair(u,v))),universal_set) -> equal(ordered_pair(f10(powerset(a),non_ordered_pair(u,v)),ordered_pair(f11(powerset(a),non_ordered_pair(u,v)),f9(powerset(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(powerset(a),non_ordered_pair(u,v)),ordered_pair(f11(powerset(a),non_ordered_pair(u,v)),f9(powerset(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74661[16:Res:56728.1,4777.0] || member(universal_set,powerset(rotate_right(non_ordered_pair(u,v)))) -> equal(ordered_pair(f10(powerset(a),non_ordered_pair(u,v)),ordered_pair(f11(powerset(a),non_ordered_pair(u,v)),f9(powerset(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(powerset(a),non_ordered_pair(u,v)),ordered_pair(f11(powerset(a),non_ordered_pair(u,v)),f9(powerset(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74659[16:Res:56365.1,4777.0] || disjoint(universal_set,complement(rotate_right(non_ordered_pair(u,v)))) -> equal(ordered_pair(f10(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f11(singleton_set(a),non_ordered_pair(u,v)),f9(singleton_set(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f11(singleton_set(a),non_ordered_pair(u,v)),f9(singleton_set(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74658[16:Res:56366.1,4777.0] || disjoint(complement(rotate_right(non_ordered_pair(u,v))),universal_set) -> equal(ordered_pair(f10(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f11(singleton_set(a),non_ordered_pair(u,v)),f9(singleton_set(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f11(singleton_set(a),non_ordered_pair(u,v)),f9(singleton_set(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74657[16:Res:56367.1,4777.0] || member(universal_set,powerset(rotate_right(non_ordered_pair(u,v)))) -> equal(ordered_pair(f10(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f11(singleton_set(a),non_ordered_pair(u,v)),f9(singleton_set(a),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(singleton_set(a),non_ordered_pair(u,v)),ordered_pair(f11(singleton_set(a),non_ordered_pair(u,v)),f9(singleton_set(a),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74652[7:Res:26830.1,4777.0] || disjoint(universal_set,complement(rotate_right(non_ordered_pair(u,v)))) -> equal(ordered_pair(f10(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f11(sigma(infinity),non_ordered_pair(u,v)),f9(sigma(infinity),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f11(sigma(infinity),non_ordered_pair(u,v)),f9(sigma(infinity),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74651[7:Res:26831.1,4777.0] || disjoint(complement(rotate_right(non_ordered_pair(u,v))),universal_set) -> equal(ordered_pair(f10(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f11(sigma(infinity),non_ordered_pair(u,v)),f9(sigma(infinity),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f11(sigma(infinity),non_ordered_pair(u,v)),f9(sigma(infinity),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 74650[7:Res:33376.1,4777.0] || member(universal_set,powerset(rotate_right(non_ordered_pair(u,v)))) -> equal(ordered_pair(f10(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f11(sigma(infinity),non_ordered_pair(u,v)),f9(sigma(infinity),non_ordered_pair(u,v)))),v)** equal(ordered_pair(f10(sigma(infinity),non_ordered_pair(u,v)),ordered_pair(f11(sigma(infinity),non_ordered_pair(u,v)),f9(sigma(infinity),non_ordered_pair(u,v)))),u)**. % 300.16/300.43 97143[3:SSi:97007.0,5742.0,371.1] little_set(u) single_valued_set(converse(powerset(ordered_pair(second(ordered_pair(f9(v,w),u)),first(ordered_pair(f9(v,w),u)))))) || member(v,rotate_right(w)) member(v,converse(powerset(ordered_pair(second(ordered_pair(f9(v,w),u)),first(ordered_pair(f9(v,w),u))))))* -> equal(u,ordered_pair(f10(v,w),f11(v,w))). % 300.16/300.43 97144[3:SSi:97006.0,5742.0,371.1] little_set(u) single_valued_set(converse(powerset(ordered_pair(second(ordered_pair(f12(v,w),u)),first(ordered_pair(f12(v,w),u)))))) || member(v,flip_range_of(w)) member(v,converse(powerset(ordered_pair(second(ordered_pair(f12(v,w),u)),first(ordered_pair(f12(v,w),u))))))* -> equal(u,ordered_pair(f13(v,w),f14(v,w))). % 300.16/300.43 105410[0:Res:5315.4,26698.0] || closed(u,v) closed(intersection(w,apply(cross_product(x,y),z)),x1) maps(x2,intersection(w,apply(cross_product(x,y),z)),u) -> homomorphism(x2,intersection(w,apply(cross_product(x,y),z)),x1,u,v) member(f32(x2,intersection(w,apply(cross_product(x,y),z)),x1,u,v),sigma(y))*. % 300.16/300.43 105409[0:Res:5270.4,26698.0] || closed(u,v) closed(intersection(w,apply(cross_product(x,y),z)),x1) maps(x2,intersection(w,apply(cross_product(x,y),z)),u) -> homomorphism(x2,intersection(w,apply(cross_product(x,y),z)),x1,u,v) member(f33(x2,intersection(w,apply(cross_product(x,y),z)),x1,u,v),sigma(y))*. % 300.16/300.43 105335[0:Res:5314.4,26698.0] || closed(u,v) closed(intersection(apply(cross_product(w,x),y),z),x1) maps(x2,intersection(apply(cross_product(w,x),y),z),u) -> homomorphism(x2,intersection(apply(cross_product(w,x),y),z),x1,u,v) member(f32(x2,intersection(apply(cross_product(w,x),y),z),x1,u,v),sigma(x))*. % 300.16/300.43 105333[0:Res:5269.4,26698.0] || closed(u,v) closed(intersection(apply(cross_product(w,x),y),z),x1) maps(x2,intersection(apply(cross_product(w,x),y),z),u) -> homomorphism(x2,intersection(apply(cross_product(w,x),y),z),x1,u,v) member(f33(x2,intersection(apply(cross_product(w,x),y),z),x1,u,v),sigma(x))*. % 300.16/300.43 14883[0:Res:52.1,1020.0] || member(u,rotate_right(converse(intersection(v,w)))) -> member(ordered_pair(second(ordered_pair(f10(u,converse(intersection(v,w))),ordered_pair(f11(u,converse(intersection(v,w))),f9(u,converse(intersection(v,w)))))),first(ordered_pair(f10(u,converse(intersection(v,w))),ordered_pair(f11(u,converse(intersection(v,w))),f9(u,converse(intersection(v,w))))))),v)*. % 300.16/300.43 14882[0:Res:58.1,1020.0] || member(u,flip_range_of(converse(intersection(v,w)))) -> member(ordered_pair(second(ordered_pair(f12(u,converse(intersection(v,w))),ordered_pair(f14(u,converse(intersection(v,w))),f13(u,converse(intersection(v,w)))))),first(ordered_pair(f12(u,converse(intersection(v,w))),ordered_pair(f14(u,converse(intersection(v,w))),f13(u,converse(intersection(v,w))))))),v)*. % 300.16/300.43 14989[0:Res:52.1,1021.0] || member(u,rotate_right(converse(intersection(v,w)))) -> member(ordered_pair(second(ordered_pair(f10(u,converse(intersection(v,w))),ordered_pair(f11(u,converse(intersection(v,w))),f9(u,converse(intersection(v,w)))))),first(ordered_pair(f10(u,converse(intersection(v,w))),ordered_pair(f11(u,converse(intersection(v,w))),f9(u,converse(intersection(v,w))))))),w)*. % 300.16/300.43 14988[0:Res:58.1,1021.0] || member(u,flip_range_of(converse(intersection(v,w)))) -> member(ordered_pair(second(ordered_pair(f12(u,converse(intersection(v,w))),ordered_pair(f14(u,converse(intersection(v,w))),f13(u,converse(intersection(v,w)))))),first(ordered_pair(f12(u,converse(intersection(v,w))),ordered_pair(f14(u,converse(intersection(v,w))),f13(u,converse(intersection(v,w))))))),w)*. % 300.16/300.43 36542[0:Res:4622.2,3811.0] || member(u,flip_range_of(v)) subset(v,w) -> equal(x,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))) member(f1(x,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),x)* member(f1(x,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),sigma(w))*. % 300.16/300.43 36541[0:Res:4622.2,3829.0] || member(u,flip_range_of(v)) subset(v,w) -> equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x) member(f1(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x),x)* member(f1(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x),sigma(w))*. % 300.16/300.43 36970[0:Res:4770.2,3811.0] || member(u,rotate_right(v)) subset(v,w) -> equal(x,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))) member(f1(x,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),x)* member(f1(x,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),sigma(w))*. % 300.16/300.43 36969[0:Res:4770.2,3829.0] || member(u,rotate_right(v)) subset(v,w) -> equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x) member(f1(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x),x)* member(f1(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x),sigma(w))*. % 300.16/300.43 41004[3:SSi:40976.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),second(x)) member(u,image(v,w)) -> member(f22(u,v,w),converse(converse(f7(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),x))))*. % 300.16/300.43 41005[3:SSi:40975.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),first(x)) member(u,image(v,w)) -> member(f22(u,v,w),converse(converse(f4(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),x))))*. % 300.16/300.43 41006[3:SSi:40974.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),sigma(x)) member(u,image(v,w)) -> member(f22(u,v,w),converse(converse(f16(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),x))))*. % 300.16/300.43 41101[3:SSi:41073.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),second(x)) member(u,apply(v,w)) -> member(f28(u,v,w),converse(converse(f7(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),x))))*. % 300.16/300.43 41102[3:SSi:41072.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),first(x)) member(u,apply(v,w)) -> member(f28(u,v,w),converse(converse(f4(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),x))))*. % 300.16/300.43 41103[3:SSi:41071.0,5742.0,371.1] || member(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),sigma(x)) member(u,apply(v,w)) -> member(f28(u,v,w),converse(converse(f16(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),x))))*. % 300.16/300.43 42385[0:Res:4279.1,1421.0] || member(u,compose(v,cross_product(w,ordered_pair(x,y)))) -> equal(second(ordered_pair(f31(u,v,cross_product(w,ordered_pair(x,y))),f30(u,v,cross_product(w,ordered_pair(x,y))))),non_ordered_pair(x,y))** equal(second(ordered_pair(f31(u,v,cross_product(w,ordered_pair(x,y))),f30(u,v,cross_product(w,ordered_pair(x,y))))),singleton_set(x)). % 300.16/300.43 42496[0:Res:4278.1,1421.0] || member(u,compose(v,cross_product(ordered_pair(w,x),y))) -> equal(first(ordered_pair(f31(u,v,cross_product(ordered_pair(w,x),y)),f30(u,v,cross_product(ordered_pair(w,x),y)))),non_ordered_pair(w,x))** equal(first(ordered_pair(f31(u,v,cross_product(ordered_pair(w,x),y)),f30(u,v,cross_product(ordered_pair(w,x),y)))),singleton_set(w)). % 300.16/300.43 42643[0:Res:4354.1,1421.0] || member(u,compose(cross_product(v,ordered_pair(w,x)),y)) -> equal(second(ordered_pair(f29(u,cross_product(v,ordered_pair(w,x)),y),f31(u,cross_product(v,ordered_pair(w,x)),y))),non_ordered_pair(w,x))** equal(second(ordered_pair(f29(u,cross_product(v,ordered_pair(w,x)),y),f31(u,cross_product(v,ordered_pair(w,x)),y))),singleton_set(w)). % 300.16/300.43 42785[0:Res:4353.1,1421.0] || member(u,compose(cross_product(ordered_pair(v,w),x),y)) -> equal(first(ordered_pair(f29(u,cross_product(ordered_pair(v,w),x),y),f31(u,cross_product(ordered_pair(v,w),x),y))),non_ordered_pair(v,w))** equal(first(ordered_pair(f29(u,cross_product(ordered_pair(v,w),x),y),f31(u,cross_product(ordered_pair(v,w),x),y))),singleton_set(v)). % 300.16/300.43 42940[0:Res:3836.1,1442.0] || -> equal(cross_product(u,v),apply(non_ordered_pair(w,x),y)) member(second(f1(cross_product(u,v),apply(non_ordered_pair(w,x),y))),v)* equal(f28(f1(cross_product(u,v),apply(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y),x)** equal(f28(f1(cross_product(u,v),apply(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42939[0:Res:3835.1,1442.0] || -> equal(cross_product(u,v),apply(non_ordered_pair(w,x),y)) member(first(f1(cross_product(u,v),apply(non_ordered_pair(w,x),y))),u)* equal(f28(f1(cross_product(u,v),apply(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y),x)** equal(f28(f1(cross_product(u,v),apply(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42868[0:Res:3818.1,1442.0] || -> equal(apply(non_ordered_pair(u,v),w),cross_product(x,y)) member(second(f1(apply(non_ordered_pair(u,v),w),cross_product(x,y))),y)* equal(f28(f1(apply(non_ordered_pair(u,v),w),cross_product(x,y)),non_ordered_pair(u,v),w),v)** equal(f28(f1(apply(non_ordered_pair(u,v),w),cross_product(x,y)),non_ordered_pair(u,v),w),u)**. % 300.16/300.43 42867[0:Res:3817.1,1442.0] || -> equal(apply(non_ordered_pair(u,v),w),cross_product(x,y)) member(first(f1(apply(non_ordered_pair(u,v),w),cross_product(x,y))),x)* equal(f28(f1(apply(non_ordered_pair(u,v),w),cross_product(x,y)),non_ordered_pair(u,v),w),v)** equal(f28(f1(apply(non_ordered_pair(u,v),w),cross_product(x,y)),non_ordered_pair(u,v),w),u)**. % 300.16/300.43 43117[0:Res:3836.1,1443.0] || -> equal(cross_product(u,v),image(w,non_ordered_pair(x,y))) member(second(f1(cross_product(u,v),image(w,non_ordered_pair(x,y)))),v)* equal(f22(f1(cross_product(u,v),image(w,non_ordered_pair(x,y))),w,non_ordered_pair(x,y)),y)** equal(f22(f1(cross_product(u,v),image(w,non_ordered_pair(x,y))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43116[0:Res:3835.1,1443.0] || -> equal(cross_product(u,v),image(w,non_ordered_pair(x,y))) member(first(f1(cross_product(u,v),image(w,non_ordered_pair(x,y)))),u)* equal(f22(f1(cross_product(u,v),image(w,non_ordered_pair(x,y))),w,non_ordered_pair(x,y)),y)** equal(f22(f1(cross_product(u,v),image(w,non_ordered_pair(x,y))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43045[0:Res:3818.1,1443.0] || -> equal(image(u,non_ordered_pair(v,w)),cross_product(x,y)) member(second(f1(image(u,non_ordered_pair(v,w)),cross_product(x,y))),y)* equal(f22(f1(image(u,non_ordered_pair(v,w)),cross_product(x,y)),u,non_ordered_pair(v,w)),w)** equal(f22(f1(image(u,non_ordered_pair(v,w)),cross_product(x,y)),u,non_ordered_pair(v,w)),v)**. % 300.16/300.43 43044[0:Res:3817.1,1443.0] || -> equal(image(u,non_ordered_pair(v,w)),cross_product(x,y)) member(first(f1(image(u,non_ordered_pair(v,w)),cross_product(x,y))),x)* equal(f22(f1(image(u,non_ordered_pair(v,w)),cross_product(x,y)),u,non_ordered_pair(v,w)),w)** equal(f22(f1(image(u,non_ordered_pair(v,w)),cross_product(x,y)),u,non_ordered_pair(v,w)),v)**. % 300.16/300.43 66791[0:Res:1007.2,6053.4] ordered_pair_predicate(u) little_set(second(f8(ordered_pair(f3(u),f2(u)),v))) little_set(w) || member(ordered_pair(f3(u),f2(u)),domain_of(v)) member(f8(ordered_pair(f3(u),f2(u)),v),converse(x))* equal(w,ordered_pair(second(f8(ordered_pair(f3(u),f2(u)),v)),u))* -> member(w,flip_range_of(x))*. % 300.16/300.43 66949[3:SSi:66932.0,5742.0,371.1] little_set(u) little_set(v) || member(ordered_pair(second(ordered_pair(u,f3(w))),first(ordered_pair(u,f3(w)))),apply(x,y)) equal(v,w) member(ordered_pair(f2(w),u),z) -> member(v,compose(z,converse(second(f28(ordered_pair(second(ordered_pair(u,f3(w))),first(ordered_pair(u,f3(w)))),x,y)))))*. % 300.16/300.43 67960[0:Res:5266.4,3812.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) -> homomorphism(y,powerset(w),x,u,v) equal(z,f33(y,powerset(w),x,u,v)) member(f1(z,f33(y,powerset(w),x,u,v)),z)* member(f1(z,f33(y,powerset(w),x,u,v)),w)*. % 300.16/300.43 67959[0:Res:5266.4,3830.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) -> homomorphism(y,powerset(w),x,u,v) equal(f33(y,powerset(w),x,u,v),z) member(f1(f33(y,powerset(w),x,u,v),z),z)* member(f1(f33(y,powerset(w),x,u,v),z),w)*. % 300.16/300.43 68047[0:Res:5311.4,3812.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) -> homomorphism(y,powerset(w),x,u,v) equal(z,f32(y,powerset(w),x,u,v)) member(f1(z,f32(y,powerset(w),x,u,v)),z)* member(f1(z,f32(y,powerset(w),x,u,v)),w)*. % 300.16/300.43 68046[0:Res:5311.4,3830.0] || closed(u,v) closed(powerset(w),x) maps(y,powerset(w),u) -> homomorphism(y,powerset(w),x,u,v) equal(f32(y,powerset(w),x,u,v),z) member(f1(f32(y,powerset(w),x,u,v),z),z)* member(f1(f32(y,powerset(w),x,u,v),z),w)*. % 300.16/300.43 68158[3:Res:5257.5,6212.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(second(z)))* member(z,x1)* equal(first(z),x2)* -> homomorphism(y,w,x,u,v) member(ordered_pair(second(f33(y,w,x,u,v)),first(f33(y,w,x,u,v))),apply(x1,x2))*. % 300.16/300.43 68157[0:Res:5257.5,1442.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,apply(non_ordered_pair(z,x1),x2)) -> homomorphism(y,w,x,u,v) equal(f28(f33(y,w,x,u,v),non_ordered_pair(z,x1),x2),x1)** equal(f28(f33(y,w,x,u,v),non_ordered_pair(z,x1),x2),z)**. % 300.16/300.43 68136[0:Res:5257.5,1443.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(z,non_ordered_pair(x1,x2))) -> homomorphism(y,w,x,u,v) equal(f22(f33(y,w,x,u,v),z,non_ordered_pair(x1,x2)),x2)** equal(f22(f33(y,w,x,u,v),z,non_ordered_pair(x1,x2)),x1)**. % 300.16/300.43 68261[3:Res:5302.5,6212.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,converse(second(z)))* member(z,x1)* equal(first(z),x2)* -> homomorphism(y,w,x,u,v) member(ordered_pair(second(f32(y,w,x,u,v)),first(f32(y,w,x,u,v))),apply(x1,x2))*. % 300.16/300.43 68260[0:Res:5302.5,1442.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,apply(non_ordered_pair(z,x1),x2)) -> homomorphism(y,w,x,u,v) equal(f28(f32(y,w,x,u,v),non_ordered_pair(z,x1),x2),x1)** equal(f28(f32(y,w,x,u,v),non_ordered_pair(z,x1),x2),z)**. % 300.16/300.43 68239[0:Res:5302.5,1443.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(z,non_ordered_pair(x1,x2))) -> homomorphism(y,w,x,u,v) equal(f22(f32(y,w,x,u,v),z,non_ordered_pair(x1,x2)),x2)** equal(f22(f32(y,w,x,u,v),z,non_ordered_pair(x1,x2)),x1)**. % 300.16/300.43 69108[0:Res:5256.5,3811.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z) -> homomorphism(y,w,x,u,v) equal(x1,f33(y,w,x,u,v)) member(f1(x1,f33(y,w,x,u,v)),x1)* member(f1(x1,f33(y,w,x,u,v)),sigma(sigma(z)))*. % 300.16/300.43 69107[0:Res:5256.5,3829.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z) -> homomorphism(y,w,x,u,v) equal(f33(y,w,x,u,v),x1) member(f1(f33(y,w,x,u,v),x1),x1)* member(f1(f33(y,w,x,u,v),x1),sigma(sigma(z)))*. % 300.16/300.43 69314[0:Res:5301.5,3811.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z) -> homomorphism(y,w,x,u,v) equal(x1,f32(y,w,x,u,v)) member(f1(x1,f32(y,w,x,u,v)),x1)* member(f1(x1,f32(y,w,x,u,v)),sigma(sigma(z)))*. % 300.16/300.43 69313[0:Res:5301.5,3829.0] || closed(u,v) closed(w,x) maps(y,w,u) member(w,z) -> homomorphism(y,w,x,u,v) equal(f32(y,w,x,u,v),x1) member(f1(f32(y,w,x,u,v),x1),x1)* member(f1(f32(y,w,x,u,v),x1),sigma(sigma(z)))*. % 300.16/300.43 70571[0:Res:5270.4,5065.1] || closed(u,v) closed(intersection(w,f7(x,y)),z) maps(x1,intersection(w,f7(x,y)),u) member(x,second(y)) equal(x2,y) -> homomorphism(x1,intersection(w,f7(x,y)),z,u,v) member(f33(x1,intersection(w,f7(x,y)),z,u,v),second(x2))*. % 300.16/300.43 70570[0:Res:5270.4,5064.1] || closed(u,v) closed(intersection(w,f5(x,y)),z) maps(x1,intersection(w,f5(x,y)),u) member(x,first(y)) equal(x2,y) -> homomorphism(x1,intersection(w,f5(x,y)),z,u,v) member(f33(x1,intersection(w,f5(x,y)),z,u,v),second(x2))*. % 300.16/300.43 70569[0:Res:5270.4,5024.1] || closed(u,v) closed(intersection(w,f12(x,y)),z) maps(x1,intersection(w,f12(x,y)),u) member(x,flip_range_of(y)) equal(x2,x) -> homomorphism(x1,intersection(w,f12(x,y)),z,u,v) member(f33(x1,intersection(w,f12(x,y)),z,u,v),first(x2))*. % 300.16/300.43 70568[0:Res:5270.4,5022.1] || closed(u,v) closed(intersection(w,f9(x,y)),z) maps(x1,intersection(w,f9(x,y)),u) member(x,rotate_right(y)) equal(x2,x) -> homomorphism(x1,intersection(w,f9(x,y)),z,u,v) member(f33(x1,intersection(w,f9(x,y)),z,u,v),first(x2))*. % 300.16/300.43 70567[0:Res:5270.4,5020.1] || closed(u,v) closed(intersection(w,f6(x,y)),z) maps(x1,intersection(w,f6(x,y)),u) member(x,second(y)) equal(x2,y) -> homomorphism(x1,intersection(w,f6(x,y)),z,u,v) member(f33(x1,intersection(w,f6(x,y)),z,u,v),first(x2))*. % 300.16/300.43 70566[0:Res:5270.4,5019.1] || closed(u,v) closed(intersection(w,f4(x,y)),z) maps(x1,intersection(w,f4(x,y)),u) member(x,first(y)) equal(x2,y) -> homomorphism(x1,intersection(w,f4(x,y)),z,u,v) member(f33(x1,intersection(w,f4(x,y)),z,u,v),first(x2))*. % 300.16/300.43 70667[0:Res:5269.4,5065.1] || closed(u,v) closed(intersection(f7(w,x),y),z) maps(x1,intersection(f7(w,x),y),u) member(w,second(x)) equal(x2,x) -> homomorphism(x1,intersection(f7(w,x),y),z,u,v) member(f33(x1,intersection(f7(w,x),y),z,u,v),second(x2))*. % 300.16/300.43 70666[0:Res:5269.4,5064.1] || closed(u,v) closed(intersection(f5(w,x),y),z) maps(x1,intersection(f5(w,x),y),u) member(w,first(x)) equal(x2,x) -> homomorphism(x1,intersection(f5(w,x),y),z,u,v) member(f33(x1,intersection(f5(w,x),y),z,u,v),second(x2))*. % 300.16/300.43 70665[0:Res:5269.4,5024.1] || closed(u,v) closed(intersection(f12(w,x),y),z) maps(x1,intersection(f12(w,x),y),u) member(w,flip_range_of(x)) equal(x2,w) -> homomorphism(x1,intersection(f12(w,x),y),z,u,v) member(f33(x1,intersection(f12(w,x),y),z,u,v),first(x2))*. % 300.16/300.43 70664[0:Res:5269.4,5022.1] || closed(u,v) closed(intersection(f9(w,x),y),z) maps(x1,intersection(f9(w,x),y),u) member(w,rotate_right(x)) equal(x2,w) -> homomorphism(x1,intersection(f9(w,x),y),z,u,v) member(f33(x1,intersection(f9(w,x),y),z,u,v),first(x2))*. % 300.16/300.43 70663[0:Res:5269.4,5020.1] || closed(u,v) closed(intersection(f6(w,x),y),z) maps(x1,intersection(f6(w,x),y),u) member(w,second(x)) equal(x2,x) -> homomorphism(x1,intersection(f6(w,x),y),z,u,v) member(f33(x1,intersection(f6(w,x),y),z,u,v),first(x2))*. % 300.16/300.43 70662[0:Res:5269.4,5019.1] || closed(u,v) closed(intersection(f4(w,x),y),z) maps(x1,intersection(f4(w,x),y),u) member(w,first(x)) equal(x2,x) -> homomorphism(x1,intersection(f4(w,x),y),z,u,v) member(f33(x1,intersection(f4(w,x),y),z,u,v),first(x2))*. % 300.16/300.43 70791[0:Res:5315.4,5065.1] || closed(u,v) closed(intersection(w,f7(x,y)),z) maps(x1,intersection(w,f7(x,y)),u) member(x,second(y)) equal(x2,y) -> homomorphism(x1,intersection(w,f7(x,y)),z,u,v) member(f32(x1,intersection(w,f7(x,y)),z,u,v),second(x2))*. % 300.16/300.43 70790[0:Res:5315.4,5064.1] || closed(u,v) closed(intersection(w,f5(x,y)),z) maps(x1,intersection(w,f5(x,y)),u) member(x,first(y)) equal(x2,y) -> homomorphism(x1,intersection(w,f5(x,y)),z,u,v) member(f32(x1,intersection(w,f5(x,y)),z,u,v),second(x2))*. % 300.16/300.43 70789[0:Res:5315.4,5024.1] || closed(u,v) closed(intersection(w,f12(x,y)),z) maps(x1,intersection(w,f12(x,y)),u) member(x,flip_range_of(y)) equal(x2,x) -> homomorphism(x1,intersection(w,f12(x,y)),z,u,v) member(f32(x1,intersection(w,f12(x,y)),z,u,v),first(x2))*. % 300.16/300.43 70788[0:Res:5315.4,5022.1] || closed(u,v) closed(intersection(w,f9(x,y)),z) maps(x1,intersection(w,f9(x,y)),u) member(x,rotate_right(y)) equal(x2,x) -> homomorphism(x1,intersection(w,f9(x,y)),z,u,v) member(f32(x1,intersection(w,f9(x,y)),z,u,v),first(x2))*. % 300.16/300.43 70787[0:Res:5315.4,5020.1] || closed(u,v) closed(intersection(w,f6(x,y)),z) maps(x1,intersection(w,f6(x,y)),u) member(x,second(y)) equal(x2,y) -> homomorphism(x1,intersection(w,f6(x,y)),z,u,v) member(f32(x1,intersection(w,f6(x,y)),z,u,v),first(x2))*. % 300.16/300.43 70786[0:Res:5315.4,5019.1] || closed(u,v) closed(intersection(w,f4(x,y)),z) maps(x1,intersection(w,f4(x,y)),u) member(x,first(y)) equal(x2,y) -> homomorphism(x1,intersection(w,f4(x,y)),z,u,v) member(f32(x1,intersection(w,f4(x,y)),z,u,v),first(x2))*. % 300.16/300.43 70871[0:Res:5314.4,5065.1] || closed(u,v) closed(intersection(f7(w,x),y),z) maps(x1,intersection(f7(w,x),y),u) member(w,second(x)) equal(x2,x) -> homomorphism(x1,intersection(f7(w,x),y),z,u,v) member(f32(x1,intersection(f7(w,x),y),z,u,v),second(x2))*. % 300.16/300.43 70870[0:Res:5314.4,5064.1] || closed(u,v) closed(intersection(f5(w,x),y),z) maps(x1,intersection(f5(w,x),y),u) member(w,first(x)) equal(x2,x) -> homomorphism(x1,intersection(f5(w,x),y),z,u,v) member(f32(x1,intersection(f5(w,x),y),z,u,v),second(x2))*. % 300.16/300.43 70869[0:Res:5314.4,5024.1] || closed(u,v) closed(intersection(f12(w,x),y),z) maps(x1,intersection(f12(w,x),y),u) member(w,flip_range_of(x)) equal(x2,w) -> homomorphism(x1,intersection(f12(w,x),y),z,u,v) member(f32(x1,intersection(f12(w,x),y),z,u,v),first(x2))*. % 300.16/300.43 70868[0:Res:5314.4,5022.1] || closed(u,v) closed(intersection(f9(w,x),y),z) maps(x1,intersection(f9(w,x),y),u) member(w,rotate_right(x)) equal(x2,w) -> homomorphism(x1,intersection(f9(w,x),y),z,u,v) member(f32(x1,intersection(f9(w,x),y),z,u,v),first(x2))*. % 300.16/300.43 70867[0:Res:5314.4,5020.1] || closed(u,v) closed(intersection(f6(w,x),y),z) maps(x1,intersection(f6(w,x),y),u) member(w,second(x)) equal(x2,x) -> homomorphism(x1,intersection(f6(w,x),y),z,u,v) member(f32(x1,intersection(f6(w,x),y),z,u,v),first(x2))*. % 300.16/300.43 70866[0:Res:5314.4,5019.1] || closed(u,v) closed(intersection(f4(w,x),y),z) maps(x1,intersection(f4(w,x),y),u) member(w,first(x)) equal(x2,x) -> homomorphism(x1,intersection(f4(w,x),y),z,u,v) member(f32(x1,intersection(f4(w,x),y),z,u,v),first(x2))*. % 300.16/300.43 74844[0:Res:126.3,5264.2] function(u) || subset(range_of(u),v) equal(domain_of(u),non_ordered_pair(w,x)) closed(v,y) closed(non_ordered_pair(w,x),z) -> homomorphism(u,non_ordered_pair(w,x),z,v,y) equal(f33(u,non_ordered_pair(w,x),z,v,y),x)** equal(f33(u,non_ordered_pair(w,x),z,v,y),w)**. % 300.16/300.43 74917[0:Res:126.3,5309.2] function(u) || subset(range_of(u),v) equal(domain_of(u),non_ordered_pair(w,x)) closed(v,y) closed(non_ordered_pair(w,x),z) -> homomorphism(u,non_ordered_pair(w,x),z,v,y) equal(f32(u,non_ordered_pair(w,x),z,v,y),x)** equal(f32(u,non_ordered_pair(w,x),z,v,y),w)**. % 300.16/300.43 105403[0:Res:5308.4,26698.0] || closed(u,v) closed(cross_product(w,apply(cross_product(x,y),z)),x1) maps(x2,cross_product(w,apply(cross_product(x,y),z)),u) -> homomorphism(x2,cross_product(w,apply(cross_product(x,y),z)),x1,u,v) member(second(f32(x2,cross_product(w,apply(cross_product(x,y),z)),x1,u,v)),sigma(y))*. % 300.16/300.43 105402[0:Res:5263.4,26698.0] || closed(u,v) closed(cross_product(w,apply(cross_product(x,y),z)),x1) maps(x2,cross_product(w,apply(cross_product(x,y),z)),u) -> homomorphism(x2,cross_product(w,apply(cross_product(x,y),z)),x1,u,v) member(second(f33(x2,cross_product(w,apply(cross_product(x,y),z)),x1,u,v)),sigma(y))*. % 300.16/300.43 105396[0:Res:5307.4,26698.0] || closed(u,v) closed(cross_product(apply(cross_product(w,x),y),z),x1) maps(x2,cross_product(apply(cross_product(w,x),y),z),u) -> homomorphism(x2,cross_product(apply(cross_product(w,x),y),z),x1,u,v) member(first(f32(x2,cross_product(apply(cross_product(w,x),y),z),x1,u,v)),sigma(x))*. % 300.16/300.43 105395[0:Res:5262.4,26698.0] || closed(u,v) closed(cross_product(apply(cross_product(w,x),y),z),x1) maps(x2,cross_product(apply(cross_product(w,x),y),z),u) -> homomorphism(x2,cross_product(apply(cross_product(w,x),y),z),x1,u,v) member(first(f33(x2,cross_product(apply(cross_product(w,x),y),z),x1,u,v)),sigma(x))*. % 300.16/300.43 17953[0:Res:52.1,1014.0] || member(u,rotate_right(converse(cross_product(v,w)))) -> member(first(ordered_pair(second(ordered_pair(f10(u,converse(cross_product(v,w))),ordered_pair(f11(u,converse(cross_product(v,w))),f9(u,converse(cross_product(v,w)))))),first(ordered_pair(f10(u,converse(cross_product(v,w))),ordered_pair(f11(u,converse(cross_product(v,w))),f9(u,converse(cross_product(v,w)))))))),v)*. % 300.16/300.43 17952[0:Res:58.1,1014.0] || member(u,flip_range_of(converse(cross_product(v,w)))) -> member(first(ordered_pair(second(ordered_pair(f12(u,converse(cross_product(v,w))),ordered_pair(f14(u,converse(cross_product(v,w))),f13(u,converse(cross_product(v,w)))))),first(ordered_pair(f12(u,converse(cross_product(v,w))),ordered_pair(f14(u,converse(cross_product(v,w))),f13(u,converse(cross_product(v,w)))))))),v)*. % 300.16/300.43 18077[0:Res:52.1,1015.0] || member(u,rotate_right(converse(cross_product(v,w)))) -> member(second(ordered_pair(second(ordered_pair(f10(u,converse(cross_product(v,w))),ordered_pair(f11(u,converse(cross_product(v,w))),f9(u,converse(cross_product(v,w)))))),first(ordered_pair(f10(u,converse(cross_product(v,w))),ordered_pair(f11(u,converse(cross_product(v,w))),f9(u,converse(cross_product(v,w)))))))),w)*. % 300.16/300.43 18076[0:Res:58.1,1015.0] || member(u,flip_range_of(converse(cross_product(v,w)))) -> member(second(ordered_pair(second(ordered_pair(f12(u,converse(cross_product(v,w))),ordered_pair(f14(u,converse(cross_product(v,w))),f13(u,converse(cross_product(v,w)))))),first(ordered_pair(f12(u,converse(cross_product(v,w))),ordered_pair(f14(u,converse(cross_product(v,w))),f13(u,converse(cross_product(v,w)))))))),w)*. % 300.16/300.43 33635[0:Res:556.1,1441.0] || -> disjoint(u,cross_product(converse(non_ordered_pair(v,w)),x)) equal(ordered_pair(second(first(f23(u,cross_product(converse(non_ordered_pair(v,w)),x)))),first(first(f23(u,cross_product(converse(non_ordered_pair(v,w)),x))))),w)** equal(ordered_pair(second(first(f23(u,cross_product(converse(non_ordered_pair(v,w)),x)))),first(first(f23(u,cross_product(converse(non_ordered_pair(v,w)),x))))),v)**. % 300.16/300.43 33631[0:Res:552.1,1441.0] || -> subset(cross_product(converse(non_ordered_pair(u,v)),w),x) equal(ordered_pair(second(first(f17(cross_product(converse(non_ordered_pair(u,v)),w),x))),first(first(f17(cross_product(converse(non_ordered_pair(u,v)),w),x)))),v)** equal(ordered_pair(second(first(f17(cross_product(converse(non_ordered_pair(u,v)),w),x))),first(first(f17(cross_product(converse(non_ordered_pair(u,v)),w),x)))),u)**. % 300.16/300.43 33630[0:Res:551.1,1441.0] || -> disjoint(cross_product(converse(non_ordered_pair(u,v)),w),x) equal(ordered_pair(second(first(f23(cross_product(converse(non_ordered_pair(u,v)),w),x))),first(first(f23(cross_product(converse(non_ordered_pair(u,v)),w),x)))),v)** equal(ordered_pair(second(first(f23(cross_product(converse(non_ordered_pair(u,v)),w),x))),first(first(f23(cross_product(converse(non_ordered_pair(u,v)),w),x)))),u)**. % 300.16/300.43 33589[0:Res:543.1,1441.0] || -> disjoint(u,cross_product(v,converse(non_ordered_pair(w,x)))) equal(ordered_pair(second(second(f23(u,cross_product(v,converse(non_ordered_pair(w,x)))))),first(second(f23(u,cross_product(v,converse(non_ordered_pair(w,x))))))),x)** equal(ordered_pair(second(second(f23(u,cross_product(v,converse(non_ordered_pair(w,x)))))),first(second(f23(u,cross_product(v,converse(non_ordered_pair(w,x))))))),w)**. % 300.16/300.43 33581[0:Res:539.1,1441.0] || -> subset(cross_product(u,converse(non_ordered_pair(v,w))),x) equal(ordered_pair(second(second(f17(cross_product(u,converse(non_ordered_pair(v,w))),x))),first(second(f17(cross_product(u,converse(non_ordered_pair(v,w))),x)))),w)** equal(ordered_pair(second(second(f17(cross_product(u,converse(non_ordered_pair(v,w))),x))),first(second(f17(cross_product(u,converse(non_ordered_pair(v,w))),x)))),v)**. % 300.16/300.43 33580[0:Res:538.1,1441.0] || -> disjoint(cross_product(u,converse(non_ordered_pair(v,w))),x) equal(ordered_pair(second(second(f23(cross_product(u,converse(non_ordered_pair(v,w))),x))),first(second(f23(cross_product(u,converse(non_ordered_pair(v,w))),x)))),w)** equal(ordered_pair(second(second(f23(cross_product(u,converse(non_ordered_pair(v,w))),x))),first(second(f23(cross_product(u,converse(non_ordered_pair(v,w))),x)))),v)**. % 300.16/300.43 33576[0:Res:3839.1,1441.0] || -> equal(powerset(u),converse(non_ordered_pair(v,w))) subset(f1(powerset(u),converse(non_ordered_pair(v,w))),u) equal(ordered_pair(second(f1(powerset(u),converse(non_ordered_pair(v,w)))),first(f1(powerset(u),converse(non_ordered_pair(v,w))))),w)** equal(ordered_pair(second(f1(powerset(u),converse(non_ordered_pair(v,w)))),first(f1(powerset(u),converse(non_ordered_pair(v,w))))),v)**. % 300.16/300.43 33537[0:Res:3821.1,1441.0] || -> equal(converse(non_ordered_pair(u,v)),powerset(w)) subset(f1(converse(non_ordered_pair(u,v)),powerset(w)),w) equal(ordered_pair(second(f1(converse(non_ordered_pair(u,v)),powerset(w))),first(f1(converse(non_ordered_pair(u,v)),powerset(w)))),v)** equal(ordered_pair(second(f1(converse(non_ordered_pair(u,v)),powerset(w))),first(f1(converse(non_ordered_pair(u,v)),powerset(w)))),u)**. % 300.16/300.43 38470[0:Res:33.2,4633.1] || member(ordered_pair(f12(u,complement(intersection(v,w))),ordered_pair(f14(u,complement(intersection(v,w))),f13(u,complement(intersection(v,w))))),w)* member(ordered_pair(f12(u,complement(intersection(v,w))),ordered_pair(f14(u,complement(intersection(v,w))),f13(u,complement(intersection(v,w))))),v)* member(u,flip_range_of(complement(intersection(v,w)))) -> . % 300.16/300.43 38569[0:Res:33.2,4781.1] || member(ordered_pair(f10(u,complement(intersection(v,w))),ordered_pair(f11(u,complement(intersection(v,w))),f9(u,complement(intersection(v,w))))),w)* member(ordered_pair(f10(u,complement(intersection(v,w))),ordered_pair(f11(u,complement(intersection(v,w))),f9(u,complement(intersection(v,w))))),v)* member(u,rotate_right(complement(intersection(v,w)))) -> . % 300.16/300.43 39159[0:Res:4621.2,3811.0] || member(u,flip_range_of(v)) member(v,w) -> equal(x,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))) member(f1(x,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),x)* member(f1(x,ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v)))),sigma(sigma(w)))*. % 300.16/300.43 39158[0:Res:4621.2,3829.0] || member(u,flip_range_of(v)) member(v,w) -> equal(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x) member(f1(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x),x)* member(f1(ordered_pair(f12(u,v),ordered_pair(f14(u,v),f13(u,v))),x),sigma(sigma(w)))*. % 300.16/300.43 39623[0:Res:4769.2,3811.0] || member(u,rotate_right(v)) member(v,w) -> equal(x,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))) member(f1(x,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),x)* member(f1(x,ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v)))),sigma(sigma(w)))*. % 300.16/300.43 39622[0:Res:4769.2,3829.0] || member(u,rotate_right(v)) member(v,w) -> equal(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x) member(f1(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x),x)* member(f1(ordered_pair(f10(u,v),ordered_pair(f11(u,v),f9(u,v))),x),sigma(sigma(w)))*. % 300.16/300.43 41227[0:Res:4286.1,1020.0] || member(u,compose(v,intersection(w,converse(intersection(x,y))))) -> member(ordered_pair(second(ordered_pair(f31(u,v,intersection(w,converse(intersection(x,y)))),f30(u,v,intersection(w,converse(intersection(x,y)))))),first(ordered_pair(f31(u,v,intersection(w,converse(intersection(x,y)))),f30(u,v,intersection(w,converse(intersection(x,y))))))),x)*. % 300.16/300.43 41226[0:Res:4286.1,1021.0] || member(u,compose(v,intersection(w,converse(intersection(x,y))))) -> member(ordered_pair(second(ordered_pair(f31(u,v,intersection(w,converse(intersection(x,y)))),f30(u,v,intersection(w,converse(intersection(x,y)))))),first(ordered_pair(f31(u,v,intersection(w,converse(intersection(x,y)))),f30(u,v,intersection(w,converse(intersection(x,y))))))),y)*. % 300.16/300.43 41466[0:Res:4285.1,1020.0] || member(u,compose(v,intersection(converse(intersection(w,x)),y))) -> member(ordered_pair(second(ordered_pair(f31(u,v,intersection(converse(intersection(w,x)),y)),f30(u,v,intersection(converse(intersection(w,x)),y)))),first(ordered_pair(f31(u,v,intersection(converse(intersection(w,x)),y)),f30(u,v,intersection(converse(intersection(w,x)),y))))),w)*. % 300.16/300.43 41465[0:Res:4285.1,1021.0] || member(u,compose(v,intersection(converse(intersection(w,x)),y))) -> member(ordered_pair(second(ordered_pair(f31(u,v,intersection(converse(intersection(w,x)),y)),f30(u,v,intersection(converse(intersection(w,x)),y)))),first(ordered_pair(f31(u,v,intersection(converse(intersection(w,x)),y)),f30(u,v,intersection(converse(intersection(w,x)),y))))),x)*. % 300.16/300.43 41604[0:Res:4361.1,1020.0] || member(u,compose(intersection(v,converse(intersection(w,x))),y)) -> member(ordered_pair(second(ordered_pair(f29(u,intersection(v,converse(intersection(w,x))),y),f31(u,intersection(v,converse(intersection(w,x))),y))),first(ordered_pair(f29(u,intersection(v,converse(intersection(w,x))),y),f31(u,intersection(v,converse(intersection(w,x))),y)))),w)*. % 300.16/300.43 41603[0:Res:4361.1,1021.0] || member(u,compose(intersection(v,converse(intersection(w,x))),y)) -> member(ordered_pair(second(ordered_pair(f29(u,intersection(v,converse(intersection(w,x))),y),f31(u,intersection(v,converse(intersection(w,x))),y))),first(ordered_pair(f29(u,intersection(v,converse(intersection(w,x))),y),f31(u,intersection(v,converse(intersection(w,x))),y)))),x)*. % 300.16/300.43 41726[0:Res:4360.1,1020.0] || member(u,compose(intersection(converse(intersection(v,w)),x),y)) -> member(ordered_pair(second(ordered_pair(f29(u,intersection(converse(intersection(v,w)),x),y),f31(u,intersection(converse(intersection(v,w)),x),y))),first(ordered_pair(f29(u,intersection(converse(intersection(v,w)),x),y),f31(u,intersection(converse(intersection(v,w)),x),y)))),v)*. % 300.16/300.43 41725[0:Res:4360.1,1021.0] || member(u,compose(intersection(converse(intersection(v,w)),x),y)) -> member(ordered_pair(second(ordered_pair(f29(u,intersection(converse(intersection(v,w)),x),y),f31(u,intersection(converse(intersection(v,w)),x),y))),first(ordered_pair(f29(u,intersection(converse(intersection(v,w)),x),y),f31(u,intersection(converse(intersection(v,w)),x),y)))),w)*. % 300.16/300.43 42975[0:Res:3817.2,1442.0] || -> equal(u,cross_product(apply(non_ordered_pair(v,w),x),y)) member(f1(u,cross_product(apply(non_ordered_pair(v,w),x),y)),u)* equal(f28(first(f1(u,cross_product(apply(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x),w)** equal(f28(first(f1(u,cross_product(apply(non_ordered_pair(v,w),x),y))),non_ordered_pair(v,w),x),v)**. % 300.16/300.43 42968[0:Res:3835.2,1442.0] || -> equal(cross_product(apply(non_ordered_pair(u,v),w),x),y) member(f1(cross_product(apply(non_ordered_pair(u,v),w),x),y),y)* equal(f28(first(f1(cross_product(apply(non_ordered_pair(u,v),w),x),y)),non_ordered_pair(u,v),w),v)** equal(f28(first(f1(cross_product(apply(non_ordered_pair(u,v),w),x),y)),non_ordered_pair(u,v),w),u)**. % 300.16/300.43 42923[0:Res:3818.2,1442.0] || -> equal(u,cross_product(v,apply(non_ordered_pair(w,x),y))) member(f1(u,cross_product(v,apply(non_ordered_pair(w,x),y))),u)* equal(f28(second(f1(u,cross_product(v,apply(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y),x)** equal(f28(second(f1(u,cross_product(v,apply(non_ordered_pair(w,x),y)))),non_ordered_pair(w,x),y),w)**. % 300.16/300.43 42912[0:Res:3836.2,1442.0] || -> equal(cross_product(u,apply(non_ordered_pair(v,w),x)),y) member(f1(cross_product(u,apply(non_ordered_pair(v,w),x)),y),y)* equal(f28(second(f1(cross_product(u,apply(non_ordered_pair(v,w),x)),y)),non_ordered_pair(v,w),x),w)** equal(f28(second(f1(cross_product(u,apply(non_ordered_pair(v,w),x)),y)),non_ordered_pair(v,w),x),v)**. % 300.16/300.43 43152[0:Res:3817.2,1443.0] || -> equal(u,cross_product(image(v,non_ordered_pair(w,x)),y)) member(f1(u,cross_product(image(v,non_ordered_pair(w,x)),y)),u)* equal(f22(first(f1(u,cross_product(image(v,non_ordered_pair(w,x)),y))),v,non_ordered_pair(w,x)),x)** equal(f22(first(f1(u,cross_product(image(v,non_ordered_pair(w,x)),y))),v,non_ordered_pair(w,x)),w)**. % 300.16/300.43 43145[0:Res:3835.2,1443.0] || -> equal(cross_product(image(u,non_ordered_pair(v,w)),x),y) member(f1(cross_product(image(u,non_ordered_pair(v,w)),x),y),y)* equal(f22(first(f1(cross_product(image(u,non_ordered_pair(v,w)),x),y)),u,non_ordered_pair(v,w)),w)** equal(f22(first(f1(cross_product(image(u,non_ordered_pair(v,w)),x),y)),u,non_ordered_pair(v,w)),v)**. % 300.16/300.43 43100[0:Res:3818.2,1443.0] || -> equal(u,cross_product(v,image(w,non_ordered_pair(x,y)))) member(f1(u,cross_product(v,image(w,non_ordered_pair(x,y)))),u)* equal(f22(second(f1(u,cross_product(v,image(w,non_ordered_pair(x,y))))),w,non_ordered_pair(x,y)),y)** equal(f22(second(f1(u,cross_product(v,image(w,non_ordered_pair(x,y))))),w,non_ordered_pair(x,y)),x)**. % 300.16/300.43 43089[0:Res:3836.2,1443.0] || -> equal(cross_product(u,image(v,non_ordered_pair(w,x))),y) member(f1(cross_product(u,image(v,non_ordered_pair(w,x))),y),y)* equal(f22(second(f1(cross_product(u,image(v,non_ordered_pair(w,x))),y)),v,non_ordered_pair(w,x)),x)** equal(f22(second(f1(cross_product(u,image(v,non_ordered_pair(w,x))),y)),v,non_ordered_pair(w,x)),w)**. % 300.16/300.43 47270[0:Res:3842.1,1558.0] || -> equal(intersection(u,v),image(non_ordered_pair(w,x),y)) member(f1(intersection(u,v),image(non_ordered_pair(w,x),y)),u)* equal(first(f22(f1(intersection(u,v),image(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y)),x)** equal(first(f22(f1(intersection(u,v),image(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47269[0:Res:3843.1,1558.0] || -> equal(intersection(u,v),image(non_ordered_pair(w,x),y)) member(f1(intersection(u,v),image(non_ordered_pair(w,x),y)),v)* equal(first(f22(f1(intersection(u,v),image(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y)),x)** equal(first(f22(f1(intersection(u,v),image(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47268[0:Res:3825.2,1558.0] || -> equal(u,intersection(v,image(non_ordered_pair(w,x),y))) member(f1(u,intersection(v,image(non_ordered_pair(w,x),y))),u)* equal(first(f22(f1(u,intersection(v,image(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y)),x)** equal(first(f22(f1(u,intersection(v,image(non_ordered_pair(w,x),y))),non_ordered_pair(w,x),y)),w)**. % 300.16/300.43 47238[0:Res:3843.2,1558.0] || -> equal(intersection(u,image(non_ordered_pair(v,w),x)),y) member(f1(intersection(u,image(non_ordered_pair(v,w),x)),y),y)* equal(first(f22(f1(intersection(u,image(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x)),w)** equal(first(f22(f1(intersection(u,image(non_ordered_pair(v,w),x)),y),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47237[0:Res:3824.2,1558.0] || -> equal(u,intersection(image(non_ordered_pair(v,w),x),y)) member(f1(u,intersection(image(non_ordered_pair(v,w),x),y)),u)* equal(first(f22(f1(u,intersection(image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),w)** equal(first(f22(f1(u,intersection(image(non_ordered_pair(v,w),x),y)),non_ordered_pair(v,w),x)),v)**. % 300.16/300.43 47204[0:Res:3842.2,1558.0] || -> equal(intersection(image(non_ordered_pair(u,v),w),x),y) member(f1(intersection(image(non_ordered_pair(u,v),w),x),y),y)* equal(first(f22(f1(intersection(image(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(intersection(image(non_ordered_pair(u,v),w),x),y),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 47198[0:Res:3824.1,1558.0] || -> equal(image(non_ordered_pair(u,v),w),intersection(x,y)) member(f1(image(non_ordered_pair(u,v),w),intersection(x,y)),x)* equal(first(f22(f1(image(non_ordered_pair(u,v),w),intersection(x,y)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(image(non_ordered_pair(u,v),w),intersection(x,y)),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 47197[0:Res:3825.1,1558.0] || -> equal(image(non_ordered_pair(u,v),w),intersection(x,y)) member(f1(image(non_ordered_pair(u,v),w),intersection(x,y)),y)* equal(first(f22(f1(image(non_ordered_pair(u,v),w),intersection(x,y)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(image(non_ordered_pair(u,v),w),intersection(x,y)),non_ordered_pair(u,v),w)),u)**. % 300.16/300.43 64263[3:Res:4628.1,6176.0] || member(u,flip_range_of(cross_product(v,converse(w)))) -> ordered_pair_predicate(ordered_pair(second(second(ordered_pair(f12(u,cross_product(v,converse(w))),ordered_pair(f14(u,cross_product(v,converse(w))),f13(u,cross_product(v,converse(w))))))),first(second(ordered_pair(f12(u,cross_product(v,converse(w))),ordered_pair(f14(u,cross_product(v,converse(w))),f13(u,cross_product(v,converse(w)))))))))*. % 300.16/300.43 64370[3:Res:4627.1,6176.0] || member(u,flip_range_of(cross_product(converse(v),w))) -> ordered_pair_predicate(ordered_pair(second(first(ordered_pair(f12(u,cross_product(converse(v),w)),ordered_pair(f14(u,cross_product(converse(v),w)),f13(u,cross_product(converse(v),w)))))),first(first(ordered_pair(f12(u,cross_product(converse(v),w)),ordered_pair(f14(u,cross_product(converse(v),w)),f13(u,cross_product(converse(v),w))))))))*. % 300.16/300.43 64519[3:Res:4776.1,6176.0] || member(u,rotate_right(cross_product(v,converse(w)))) -> ordered_pair_predicate(ordered_pair(second(second(ordered_pair(f10(u,cross_product(v,converse(w))),ordered_pair(f11(u,cross_product(v,converse(w))),f9(u,cross_product(v,converse(w))))))),first(second(ordered_pair(f10(u,cross_product(v,converse(w))),ordered_pair(f11(u,cross_product(v,converse(w))),f9(u,cross_product(v,converse(w)))))))))*. % 300.16/300.43 64629[3:Res:4775.1,6176.0] || member(u,rotate_right(cross_product(converse(v),w))) -> ordered_pair_predicate(ordered_pair(second(first(ordered_pair(f10(u,cross_product(converse(v),w)),ordered_pair(f11(u,cross_product(converse(v),w)),f9(u,cross_product(converse(v),w)))))),first(first(ordered_pair(f10(u,cross_product(converse(v),w)),ordered_pair(f11(u,cross_product(converse(v),w)),f9(u,cross_product(converse(v),w))))))))*. % 300.16/300.43 67679[3:Res:6219.3,1442.0] || member(u,compose(v,second(w))) member(w,non_ordered_pair(x,y)) equal(first(w),z) -> equal(f28(ordered_pair(f31(u,v,second(w)),f30(u,v,second(w))),non_ordered_pair(x,y),z),y)** equal(f28(ordered_pair(f31(u,v,second(w)),f30(u,v,second(w))),non_ordered_pair(x,y),z),x)**. % 300.16/300.43 67737[3:Res:6220.3,1442.0] || member(u,compose(second(v),w)) member(v,non_ordered_pair(x,y)) equal(first(v),z) -> equal(f28(ordered_pair(f29(u,second(v),w),f31(u,second(v),w)),non_ordered_pair(x,y),z),y)** equal(f28(ordered_pair(f29(u,second(v),w),f31(u,second(v),w)),non_ordered_pair(x,y),z),x)**. % 300.16/300.43 68765[0:Res:3651.2,5268.3] || member(f33(u,complement(restrict(v,w)),x,y,z),cross_product(w,universal_set))* member(f33(u,complement(restrict(v,w)),x,y,z),v)* closed(y,z) closed(complement(restrict(v,w)),x) maps(u,complement(restrict(v,w)),y) -> homomorphism(u,complement(restrict(v,w)),x,y,z). % 300.16/300.43 68786[3:MRR:68752.0,6184.4] || member(second(f33(u,complement(cross_product(v,w)),x,y,z)),w)* member(first(f33(u,complement(cross_product(v,w)),x,y,z)),v)* closed(y,z) closed(complement(cross_product(v,w)),x) maps(u,complement(cross_product(v,w)),y) -> homomorphism(u,complement(cross_product(v,w)),x,y,z). % 300.16/300.43 68826[0:Res:3651.2,5313.3] || member(f32(u,complement(restrict(v,w)),x,y,z),cross_product(w,universal_set))* member(f32(u,complement(restrict(v,w)),x,y,z),v)* closed(y,z) closed(complement(restrict(v,w)),x) maps(u,complement(restrict(v,w)),y) -> homomorphism(u,complement(restrict(v,w)),x,y,z). % 300.16/300.43 68847[3:MRR:68813.0,6185.4] || member(second(f32(u,complement(cross_product(v,w)),x,y,z)),w)* member(first(f32(u,complement(cross_product(v,w)),x,y,z)),v)* closed(y,z) closed(complement(cross_product(v,w)),x) maps(u,complement(cross_product(v,w)),y) -> homomorphism(u,complement(cross_product(v,w)),x,y,z). % 300.16/300.43 70555[0:Res:5270.4,314.0] || closed(u,v) closed(intersection(w,intersection(complement(x),complement(y))),z) maps(x1,intersection(w,intersection(complement(x),complement(y))),u) member(f33(x1,intersection(w,intersection(complement(x),complement(y))),z,u,v),union(x,y))* -> homomorphism(x1,intersection(w,intersection(complement(x),complement(y))),z,u,v). % 300.16/300.43 70651[0:Res:5269.4,314.0] || closed(u,v) closed(intersection(intersection(complement(w),complement(x)),y),z) maps(x1,intersection(intersection(complement(w),complement(x)),y),u) member(f33(x1,intersection(intersection(complement(w),complement(x)),y),z,u,v),union(w,x))* -> homomorphism(x1,intersection(intersection(complement(w),complement(x)),y),z,u,v). % 300.16/300.43 70775[0:Res:5315.4,314.0] || closed(u,v) closed(intersection(w,intersection(complement(x),complement(y))),z) maps(x1,intersection(w,intersection(complement(x),complement(y))),u) member(f32(x1,intersection(w,intersection(complement(x),complement(y))),z,u,v),union(x,y))* -> homomorphism(x1,intersection(w,intersection(complement(x),complement(y))),z,u,v). % 300.16/300.43 70855[0:Res:5314.4,314.0] || closed(u,v) closed(intersection(intersection(complement(w),complement(x)),y),z) maps(x1,intersection(intersection(complement(w),complement(x)),y),u) member(f32(x1,intersection(intersection(complement(w),complement(x)),y),z,u,v),union(w,x))* -> homomorphism(x1,intersection(intersection(complement(w),complement(x)),y),z,u,v). % 300.16/300.43 70994[0:Res:1007.2,6080.4] little_set(second(f8(f5(u,v),w))) little_set(x) || member(f5(u,v),domain_of(w)) member(f8(f5(u,v),w),converse(y))* member(u,first(v)) equal(x,v)* member(ordered_pair(f4(u,v),second(f8(f5(u,v),w))),z)* -> member(x,compose(z,y))*. % 300.16/300.43 71065[0:Res:1007.2,6081.4] little_set(second(f8(f7(u,v),w))) little_set(x) || member(f7(u,v),domain_of(w)) member(f8(f7(u,v),w),converse(y))* member(u,second(v)) equal(x,v)* member(ordered_pair(f6(u,v),second(f8(f7(u,v),w))),z)* -> member(x,compose(z,y))*. % 300.16/300.43 71166[0:Res:3651.2,5363.4] little_set(u) little_set(v) || member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),cross_product(z,universal_set))* member(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u)),x1)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(restrict(x1,z)))*. % 300.16/300.43 71191[3:SSi:71148.0,5742.0,371.0,371.1] little_set(u) little_set(v) || member(second(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u))),z)* member(first(ordered_pair(f29(w,x,y),ordered_pair(f30(w,x,y),u))),x1)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,rotate_right(cross_product(x1,z)))*. % 300.16/300.43 71296[0:Res:3651.2,6058.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),cross_product(z,universal_set))* member(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y))),x1)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(restrict(x1,z)))*. % 300.16/300.43 71326[0:SSi:71278.0,3910.0,371.0,371.0,371.2] little_set(u) little_set(v) || member(second(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y)))),z)* member(first(ordered_pair(u,ordered_pair(f30(w,x,y),f29(w,x,y)))),x1)* member(w,compose(x,y)) equal(v,ordered_pair(u,w))* -> member(v,flip_range_of(cross_product(x1,z)))*. % 300.16/300.43 71411[0:Res:5263.4,5065.1] || closed(u,v) closed(cross_product(w,f7(x,y)),z) maps(x1,cross_product(w,f7(x,y)),u) member(x,second(y)) equal(x2,y) -> homomorphism(x1,cross_product(w,f7(x,y)),z,u,v) member(second(f33(x1,cross_product(w,f7(x,y)),z,u,v)),second(x2))*. % 300.16/300.43 71410[0:Res:5263.4,5064.1] || closed(u,v) closed(cross_product(w,f5(x,y)),z) maps(x1,cross_product(w,f5(x,y)),u) member(x,first(y)) equal(x2,y) -> homomorphism(x1,cross_product(w,f5(x,y)),z,u,v) member(second(f33(x1,cross_product(w,f5(x,y)),z,u,v)),second(x2))*. % 300.16/300.43 71409[0:Res:5263.4,5024.1] || closed(u,v) closed(cross_product(w,f12(x,y)),z) maps(x1,cross_product(w,f12(x,y)),u) member(x,flip_range_of(y)) equal(x2,x) -> homomorphism(x1,cross_product(w,f12(x,y)),z,u,v) member(second(f33(x1,cross_product(w,f12(x,y)),z,u,v)),first(x2))*. % 300.16/300.43 71408[0:Res:5263.4,5022.1] || closed(u,v) closed(cross_product(w,f9(x,y)),z) maps(x1,cross_product(w,f9(x,y)),u) member(x,rotate_right(y)) equal(x2,x) -> homomorphism(x1,cross_product(w,f9(x,y)),z,u,v) member(second(f33(x1,cross_product(w,f9(x,y)),z,u,v)),first(x2))*. % 300.16/300.43 71407[0:Res:5263.4,5020.1] || closed(u,v) closed(cross_product(w,f6(x,y)),z) maps(x1,cross_product(w,f6(x,y)),u) member(x,second(y)) equal(x2,y) -> homomorphism(x1,cross_product(w,f6(x,y)),z,u,v) member(second(f33(x1,cross_product(w,f6(x,y)),z,u,v)),first(x2))*. % 300.16/300.43 71406[0:Res:5263.4,5019.1] || closed(u,v) closed(cross_product(w,f4(x,y)),z) maps(x1,cross_product(w,f4(x,y)),u) member(x,first(y)) equal(x2,y) -> homomorphism(x1,cross_product(w,f4(x,y)),z,u,v) member(second(f33(x1,cross_product(w,f4(x,y)),z,u,v)),first(x2))*. % 300.16/300.43 71516[0:Res:5262.4,5065.1] || closed(u,v) closed(cross_product(f7(w,x),y),z) maps(x1,cross_product(f7(w,x),y),u) member(w,second(x)) equal(x2,x) -> homomorphism(x1,cross_product(f7(w,x),y),z,u,v) member(first(f33(x1,cross_product(f7(w,x),y),z,u,v)),second(x2))*. % 300.16/300.43 71515[0:Res:5262.4,5064.1] || closed(u,v) closed(cross_product(f5(w,x),y),z) maps(x1,cross_product(f5(w,x),y),u) member(w,first(x)) equal(x2,x) -> homomorphism(x1,cross_product(f5(w,x),y),z,u,v) member(first(f33(x1,cross_product(f5(w,x),y),z,u,v)),second(x2))*. % 300.16/300.43 71514[0:Res:5262.4,5024.1] || closed(u,v) closed(cross_product(f12(w,x),y),z) maps(x1,cross_product(f12(w,x),y),u) member(w,flip_range_of(x)) equal(x2,w) -> homomorphism(x1,cross_product(f12(w,x),y),z,u,v) member(first(f33(x1,cross_product(f12(w,x),y),z,u,v)),first(x2))*. % 300.16/300.43 71513[0:Res:5262.4,5022.1] || closed(u,v) closed(cross_product(f9(w,x),y),z) maps(x1,cross_product(f9(w,x),y),u) member(w,rotate_right(x)) equal(x2,w) -> homomorphism(x1,cross_product(f9(w,x),y),z,u,v) member(first(f33(x1,cross_product(f9(w,x),y),z,u,v)),first(x2))*. % 300.16/300.43 71512[0:Res:5262.4,5020.1] || closed(u,v) closed(cross_product(f6(w,x),y),z) maps(x1,cross_product(f6(w,x),y),u) member(w,second(x)) equal(x2,x) -> homomorphism(x1,cross_product(f6(w,x),y),z,u,v) member(first(f33(x1,cross_product(f6(w,x),y),z,u,v)),first(x2))*. % 300.16/300.43 71511[0:Res:5262.4,5019.1] || closed(u,v) closed(cross_product(f4(w,x),y),z) maps(x1,cross_product(f4(w,x),y),u) member(w,first(x)) equal(x2,x) -> homomorphism(x1,cross_product(f4(w,x),y),z,u,v) member(first(f33(x1,cross_product(f4(w,x),y),z,u,v)),first(x2))*. % 300.16/300.43 71662[0:Res:5308.4,5065.1] || closed(u,v) closed(cross_product(w,f7(x,y)),z) maps(x1,cross_product(w,f7(x,y)),u) member(x,second(y)) equal(x2,y) -> homomorphism(x1,cross_product(w,f7(x,y)),z,u,v) member(second(f32(x1,cross_product(w,f7(x,y)),z,u,v)),second(x2))*. % 300.16/300.43 71661[0:Res:5308.4,5064.1] || closed(u,v) closed(cross_product(w,f5(x,y)),z) maps(x1,cross_product(w,f5(x,y)),u) member(x,first(y)) equal(x2,y) -> homomorphism(x1,cross_product(w,f5(x,y)),z,u,v) member(second(f32(x1,cross_product(w,f5(x,y)),z,u,v)),second(x2))*. % 300.16/300.43 71660[0:Res:5308.4,5024.1] || closed(u,v) closed(cross_product(w,f12(x,y)),z) maps(x1,cross_product(w,f12(x,y)),u) member(x,flip_range_of(y)) equal(x2,x) -> homomorphism(x1,cross_product(w,f12(x,y)),z,u,v) member(second(f32(x1,cross_product(w,f12(x,y)),z,u,v)),first(x2))*. % 300.16/300.43 71659[0:Res:5308.4,5022.1] || closed(u,v) closed(cross_product(w,f9(x,y)),z) maps(x1,cross_product(w,f9(x,y)),u) member(x,rotate_right(y)) equal(x2,x) -> homomorphism(x1,cross_product(w,f9(x,y)),z,u,v) member(second(f32(x1,cross_product(w,f9(x,y)),z,u,v)),first(x2))*. % 300.16/300.43 71658[0:Res:5308.4,5020.1] || closed(u,v) closed(cross_product(w,f6(x,y)),z) maps(x1,cross_product(w,f6(x,y)),u) member(x,second(y)) equal(x2,y) -> homomorphism(x1,cross_product(w,f6(x,y)),z,u,v) member(second(f32(x1,cross_product(w,f6(x,y)),z,u,v)),first(x2))*. % 300.16/300.43 71657[0:Res:5308.4,5019.1] || closed(u,v) closed(cross_product(w,f4(x,y)),z) maps(x1,cross_product(w,f4(x,y)),u) member(x,first(y)) equal(x2,y) -> homomorphism(x1,cross_product(w,f4(x,y)),z,u,v) member(second(f32(x1,cross_product(w,f4(x,y)),z,u,v)),first(x2))*. % 300.16/300.44 71915[0:Res:5307.4,5065.1] || closed(u,v) closed(cross_product(f7(w,x),y),z) maps(x1,cross_product(f7(w,x),y),u) member(w,second(x)) equal(x2,x) -> homomorphism(x1,cross_product(f7(w,x),y),z,u,v) member(first(f32(x1,cross_product(f7(w,x),y),z,u,v)),second(x2))*. % 300.16/300.44 71914[0:Res:5307.4,5064.1] || closed(u,v) closed(cross_product(f5(w,x),y),z) maps(x1,cross_product(f5(w,x),y),u) member(w,first(x)) equal(x2,x) -> homomorphism(x1,cross_product(f5(w,x),y),z,u,v) member(first(f32(x1,cross_product(f5(w,x),y),z,u,v)),second(x2))*. % 300.16/300.44 71913[0:Res:5307.4,5024.1] || closed(u,v) closed(cross_product(f12(w,x),y),z) maps(x1,cross_product(f12(w,x),y),u) member(w,flip_range_of(x)) equal(x2,w) -> homomorphism(x1,cross_product(f12(w,x),y),z,u,v) member(first(f32(x1,cross_product(f12(w,x),y),z,u,v)),first(x2))*. % 300.16/300.44 71912[0:Res:5307.4,5022.1] || closed(u,v) closed(cross_product(f9(w,x),y),z) maps(x1,cross_product(f9(w,x),y),u) member(w,rotate_right(x)) equal(x2,w) -> homomorphism(x1,cross_product(f9(w,x),y),z,u,v) member(first(f32(x1,cross_product(f9(w,x),y),z,u,v)),first(x2))*. % 300.16/300.44 71911[0:Res:5307.4,5020.1] || closed(u,v) closed(cross_product(f6(w,x),y),z) maps(x1,cross_product(f6(w,x),y),u) member(w,second(x)) equal(x2,x) -> homomorphism(x1,cross_product(f6(w,x),y),z,u,v) member(first(f32(x1,cross_product(f6(w,x),y),z,u,v)),first(x2))*. % 300.16/300.44 71910[0:Res:5307.4,5019.1] || closed(u,v) closed(cross_product(f4(w,x),y),z) maps(x1,cross_product(f4(w,x),y),u) member(w,first(x)) equal(x2,x) -> homomorphism(x1,cross_product(f4(w,x),y),z,u,v) member(first(f32(x1,cross_product(f4(w,x),y),z,u,v)),first(x2))*. % 300.16/300.44 74047[0:Res:33.2,6084.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),y)* member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),z)* member(w,rotate_right(x)) equal(v,w)* member(ordered_pair(f9(w,x),u),x1)* -> member(v,compose(x1,intersection(z,y)))*. % 300.16/300.44 74046[0:Res:120.1,6084.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),apply(y,z)) member(w,rotate_right(x)) equal(v,w) member(ordered_pair(f9(w,x),u),x1) -> member(v,compose(x1,second(f28(ordered_pair(u,ordered_pair(f10(w,x),f11(w,x))),y,z))))*. % 300.16/300.44 74157[0:Res:33.2,6086.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),y)* member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),z)* member(w,flip_range_of(x)) equal(v,w)* member(ordered_pair(f12(w,x),u),x1)* -> member(v,compose(x1,intersection(z,y)))*. % 300.16/300.44 74156[0:Res:120.1,6086.4] little_set(u) little_set(v) || member(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),apply(y,z)) member(w,flip_range_of(x)) equal(v,w) member(ordered_pair(f12(w,x),u),x1) -> member(v,compose(x1,second(f28(ordered_pair(u,ordered_pair(f13(w,x),f14(w,x))),y,z))))*. % 300.16/300.44 74497[16:Res:55065.2,4629.0] || subset(u,flip_range_of(non_ordered_pair(v,w))) -> equal(u,a) equal(ordered_pair(f12(f24(u),non_ordered_pair(v,w)),ordered_pair(f14(f24(u),non_ordered_pair(v,w)),f13(f24(u),non_ordered_pair(v,w)))),w)** equal(ordered_pair(f12(f24(u),non_ordered_pair(v,w)),ordered_pair(f14(f24(u),non_ordered_pair(v,w)),f13(f24(u),non_ordered_pair(v,w)))),v)**. % 300.16/300.44 74693[16:Res:55065.2,4777.0] || subset(u,rotate_right(non_ordered_pair(v,w))) -> equal(u,a) equal(ordered_pair(f10(f24(u),non_ordered_pair(v,w)),ordered_pair(f11(f24(u),non_ordered_pair(v,w)),f9(f24(u),non_ordered_pair(v,w)))),w)** equal(ordered_pair(f10(f24(u),non_ordered_pair(v,w)),ordered_pair(f11(f24(u),non_ordered_pair(v,w)),f9(f24(u),non_ordered_pair(v,w)))),v)**. % 300.16/300.44 97149[3:SSi:97003.0,5742.0,371.1] little_set(u) single_valued_set(converse(powerset(ordered_pair(second(ordered_pair(f29(v,w,x),u)),first(ordered_pair(f29(v,w,x),u)))))) || member(v,compose(w,x)) member(v,converse(powerset(ordered_pair(second(ordered_pair(f29(v,w,x),u)),first(ordered_pair(f29(v,w,x),u))))))* -> equal(u,f30(v,w,x)). % 300.16/300.44 35653[3:SSi:35595.0,5742.0,371.1] little_set(u) single_valued_set(converse(f16(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u))),w))) || member(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u))),sigma(w)) member(v,converse(f16(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u))),w)))* -> equal(u,f3(v)). % 300.20/300.44 35812[3:SSi:35754.0,5742.0,371.1] little_set(u) single_valued_set(converse(f4(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u))),w))) || member(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u))),first(w)) member(v,converse(f4(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u))),w)))* -> equal(u,f3(v)). % 300.20/300.44 36031[3:SSi:35973.0,5742.0,371.1] little_set(u) single_valued_set(converse(f7(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u))),w))) || member(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u))),second(w)) member(v,converse(f7(ordered_pair(second(ordered_pair(f2(v),u)),first(ordered_pair(f2(v),u))),w)))* -> equal(u,f3(v)). % 300.20/300.44 40731[0:Res:1468.2,1441.0] || member(u,image(v,w)) member(f22(u,v,w),converse(converse(non_ordered_pair(x,y))))* -> equal(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),y)* equal(ordered_pair(second(ordered_pair(u,first(f22(u,v,w)))),first(ordered_pair(u,first(f22(u,v,w))))),x)*. % 300.20/300.44 40877[0:Res:1464.2,1441.0] || member(u,apply(v,w)) member(f28(u,v,w),converse(converse(non_ordered_pair(x,y))))* -> equal(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),y)* equal(ordered_pair(second(ordered_pair(second(f28(u,v,w)),w)),first(ordered_pair(second(f28(u,v,w)),w))),x)*. % 300.20/300.44 41229[0:Res:4286.1,1014.0] || member(u,compose(v,intersection(w,converse(cross_product(x,y))))) -> member(first(ordered_pair(second(ordered_pair(f31(u,v,intersection(w,converse(cross_product(x,y)))),f30(u,v,intersection(w,converse(cross_product(x,y)))))),first(ordered_pair(f31(u,v,intersection(w,converse(cross_product(x,y)))),f30(u,v,intersection(w,converse(cross_product(x,y)))))))),x)*. % 300.20/300.44 41228[0:Res:4286.1,1015.0] || member(u,compose(v,intersection(w,converse(cross_product(x,y))))) -> member(second(ordered_pair(second(ordered_pair(f31(u,v,intersection(w,converse(cross_product(x,y)))),f30(u,v,intersection(w,converse(cross_product(x,y)))))),first(ordered_pair(f31(u,v,intersection(w,converse(cross_product(x,y)))),f30(u,v,intersection(w,converse(cross_product(x,y)))))))),y)*. % 300.20/300.44 41468[0:Res:4285.1,1014.0] || member(u,compose(v,intersection(converse(cross_product(w,x)),y))) -> member(first(ordered_pair(second(ordered_pair(f31(u,v,intersection(converse(cross_product(w,x)),y)),f30(u,v,intersection(converse(cross_product(w,x)),y)))),first(ordered_pair(f31(u,v,intersection(converse(cross_product(w,x)),y)),f30(u,v,intersection(converse(cross_product(w,x)),y)))))),w)*. % 300.20/300.44 41467[0:Res:4285.1,1015.0] || member(u,compose(v,intersection(converse(cross_product(w,x)),y))) -> member(second(ordered_pair(second(ordered_pair(f31(u,v,intersection(converse(cross_product(w,x)),y)),f30(u,v,intersection(converse(cross_product(w,x)),y)))),first(ordered_pair(f31(u,v,intersection(converse(cross_product(w,x)),y)),f30(u,v,intersection(converse(cross_product(w,x)),y)))))),x)*. % 300.20/300.44 41606[0:Res:4361.1,1014.0] || member(u,compose(intersection(v,converse(cross_product(w,x))),y)) -> member(first(ordered_pair(second(ordered_pair(f29(u,intersection(v,converse(cross_product(w,x))),y),f31(u,intersection(v,converse(cross_product(w,x))),y))),first(ordered_pair(f29(u,intersection(v,converse(cross_product(w,x))),y),f31(u,intersection(v,converse(cross_product(w,x))),y))))),w)*. % 300.20/300.44 41605[0:Res:4361.1,1015.0] || member(u,compose(intersection(v,converse(cross_product(w,x))),y)) -> member(second(ordered_pair(second(ordered_pair(f29(u,intersection(v,converse(cross_product(w,x))),y),f31(u,intersection(v,converse(cross_product(w,x))),y))),first(ordered_pair(f29(u,intersection(v,converse(cross_product(w,x))),y),f31(u,intersection(v,converse(cross_product(w,x))),y))))),x)*. % 300.20/300.44 41728[0:Res:4360.1,1014.0] || member(u,compose(intersection(converse(cross_product(v,w)),x),y)) -> member(first(ordered_pair(second(ordered_pair(f29(u,intersection(converse(cross_product(v,w)),x),y),f31(u,intersection(converse(cross_product(v,w)),x),y))),first(ordered_pair(f29(u,intersection(converse(cross_product(v,w)),x),y),f31(u,intersection(converse(cross_product(v,w)),x),y))))),v)*. % 300.20/300.44 41727[0:Res:4360.1,1015.0] || member(u,compose(intersection(converse(cross_product(v,w)),x),y)) -> member(second(ordered_pair(second(ordered_pair(f29(u,intersection(converse(cross_product(v,w)),x),y),f31(u,intersection(converse(cross_product(v,w)),x),y))),first(ordered_pair(f29(u,intersection(converse(cross_product(v,w)),x),y),f31(u,intersection(converse(cross_product(v,w)),x),y))))),w)*. % 300.20/300.44 47272[0:Res:3836.1,1558.0] || -> equal(cross_product(u,v),image(non_ordered_pair(w,x),y)) member(second(f1(cross_product(u,v),image(non_ordered_pair(w,x),y))),v)* equal(first(f22(f1(cross_product(u,v),image(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y)),x)** equal(first(f22(f1(cross_product(u,v),image(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y)),w)**. % 300.20/300.44 47271[0:Res:3835.1,1558.0] || -> equal(cross_product(u,v),image(non_ordered_pair(w,x),y)) member(first(f1(cross_product(u,v),image(non_ordered_pair(w,x),y))),u)* equal(first(f22(f1(cross_product(u,v),image(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y)),x)** equal(first(f22(f1(cross_product(u,v),image(non_ordered_pair(w,x),y)),non_ordered_pair(w,x),y)),w)**. % 300.20/300.44 47200[0:Res:3818.1,1558.0] || -> equal(image(non_ordered_pair(u,v),w),cross_product(x,y)) member(second(f1(image(non_ordered_pair(u,v),w),cross_product(x,y))),y)* equal(first(f22(f1(image(non_ordered_pair(u,v),w),cross_product(x,y)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(image(non_ordered_pair(u,v),w),cross_product(x,y)),non_ordered_pair(u,v),w)),u)**. % 300.20/300.44 47199[0:Res:3817.1,1558.0] || -> equal(image(non_ordered_pair(u,v),w),cross_product(x,y)) member(first(f1(image(non_ordered_pair(u,v),w),cross_product(x,y))),x)* equal(first(f22(f1(image(non_ordered_pair(u,v),w),cross_product(x,y)),non_ordered_pair(u,v),w)),v)** equal(first(f22(f1(image(non_ordered_pair(u,v),w),cross_product(x,y)),non_ordered_pair(u,v),w)),u)**. % 300.20/300.44 47434[3:Res:3837.1,6212.0] || member(u,v) equal(first(u),w) -> equal(non_ordered_pair(x,y),converse(second(u))) equal(f1(non_ordered_pair(x,y),converse(second(u))),y) equal(f1(non_ordered_pair(x,y),converse(second(u))),x) member(ordered_pair(second(f1(non_ordered_pair(x,y),converse(second(u)))),first(f1(non_ordered_pair(x,y),converse(second(u))))),apply(v,w))*. % 300.20/300.44 47879[3:Res:3819.1,6212.0] || member(u,v) equal(first(u),w) -> equal(converse(second(u)),non_ordered_pair(x,y)) equal(f1(converse(second(u)),non_ordered_pair(x,y)),y) equal(f1(converse(second(u)),non_ordered_pair(x,y)),x) member(ordered_pair(second(f1(converse(second(u)),non_ordered_pair(x,y))),first(f1(converse(second(u)),non_ordered_pair(x,y)))),apply(v,w))*. % 300.20/300.44 68138[0:Res:5257.5,1558.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(non_ordered_pair(z,x1),x2)) -> homomorphism(y,w,x,u,v) equal(first(f22(f33(y,w,x,u,v),non_ordered_pair(z,x1),x2)),x1)** equal(first(f22(f33(y,w,x,u,v),non_ordered_pair(z,x1),x2)),z)**. % 300.20/300.44 68241[0:Res:5302.5,1558.0] || closed(u,v) closed(w,x) maps(y,w,u) subset(w,image(non_ordered_pair(z,x1),x2)) -> homomorphism(y,w,x,u,v) equal(first(f22(f32(y,w,x,u,v),non_ordered_pair(z,x1),x2)),x1)** equal(first(f22(f32(y,w,x,u,v),non_ordered_pair(z,x1),x2)),z)**. % 300.20/300.44 70535[0:Res:5270.4,1009.0] || closed(u,v) closed(intersection(w,converse(x)),y) maps(z,intersection(w,converse(x)),u) subset(x,x1) -> homomorphism(z,intersection(w,converse(x)),y,u,v) member(ordered_pair(second(f33(z,intersection(w,converse(x)),y,u,v)),first(f33(z,intersection(w,converse(x)),y,u,v))),x1)*. % 300.20/300.44 70533[0:Res:5270.4,8.0] || closed(u,v) closed(intersection(w,non_ordered_pair(x,y)),z) maps(x1,intersection(w,non_ordered_pair(x,y)),u) -> homomorphism(x1,intersection(w,non_ordered_pair(x,y)),z,u,v) equal(f33(x1,intersection(w,non_ordered_pair(x,y)),z,u,v),y)** equal(f33(x1,intersection(w,non_ordered_pair(x,y)),z,u,v),x)**. % 300.20/300.44 70631[0:Res:5269.4,1009.0] || closed(u,v) closed(intersection(converse(w),x),y) maps(z,intersection(converse(w),x),u) suCputime limit exceeded (core dumped) %------------------------------------------------------------------------------