%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP175-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 : 300s % DateTime : Wed Jun 3 08:20:06 AM UTC 2026 % Result : Unsatisfiable 4.63s 4.84s % Output : Proof 4.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP175-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 00:54:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.63/4.84 % SZS status Unsatisfiable % 4.63/4.84 % SZS output start Proof % 4.63/4.85 ( % 4.63/4.85 (declare-sort $$unsorted 0) % 4.63/4.85 (declare-const tptp.a $$unsorted) % 4.63/4.85 (declare-const tptp.b $$unsorted) % 4.63/4.85 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.85 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.85 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 4.63/4.85 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 4.63/4.85 (declare-const tptp.identity $$unsorted) % 4.63/4.85 (define @t1 () (@var "X" $$unsorted)) % 4.63/4.85 (define @t2 () (tptp.multiply tptp.identity @t1)) % 4.63/4.85 (define @t3 () (@list @t1)) % 4.63/4.85 (define @t4 () (forall @t3 (= @t2 @t1))) % 4.63/4.85 (define @t5 () (tptp.multiply (tptp.inverse @t1) @t1)) % 4.63/4.85 (define @t6 () (forall @t3 (= @t5 tptp.identity))) % 4.63/4.85 (define @t7 () (@var "Z" $$unsorted)) % 4.63/4.85 (define @t8 () (@var "Y" $$unsorted)) % 4.63/4.85 (define @t9 () (tptp.multiply @t1 @t8)) % 4.63/4.85 (define @t10 () (@list @t1 @t8 @t7)) % 4.63/4.85 (define @t11 () (forall @t10 (= (tptp.multiply @t9 @t7) (tptp.multiply @t1 (tptp.multiply @t8 @t7))))) % 4.63/4.85 (define @t12 () (tptp.greatest_lower_bound @t1 @t8)) % 4.63/4.85 (define @t13 () (@list @t1 @t8)) % 4.63/4.85 (define @t14 () (tptp.least_upper_bound @t1 @t8)) % 4.63/4.85 (define @t15 () (tptp.greatest_lower_bound @t8 @t7)) % 4.63/4.85 (define @t16 () (tptp.least_upper_bound @t8 @t7)) % 4.63/4.85 (define @t17 () (tptp.least_upper_bound @t1 @t1)) % 4.63/4.85 (define @t18 () (forall @t3 (= @t17 @t1))) % 4.63/4.85 (define @t19 () (tptp.greatest_lower_bound @t1 @t1)) % 4.63/4.85 (define @t20 () (forall @t3 (= @t19 @t1))) % 4.63/4.85 (define @t21 () (tptp.least_upper_bound @t1 @t12)) % 4.63/4.85 (define @t22 () (forall @t13 (= @t21 @t1))) % 4.63/4.85 (define @t23 () (tptp.greatest_lower_bound @t1 @t14)) % 4.63/4.85 (define @t24 () (forall @t13 (= @t23 @t1))) % 4.63/4.85 (define @t25 () (tptp.multiply @t1 @t7)) % 4.63/4.85 (define @t26 () (tptp.multiply @t7 @t1)) % 4.63/4.85 (define @t27 () (tptp.multiply @t8 @t1)) % 4.63/4.85 (define @t28 () (@list @t8 @t7 @t1)) % 4.63/4.85 (define @t29 () (tptp.greatest_lower_bound tptp.identity tptp.b)) % 4.63/4.85 (define @t30 () (tptp.multiply tptp.b tptp.a)) % 4.63/4.85 (define @t31 () (tptp.inverse tptp.a)) % 4.63/4.85 (define @t32 () (tptp.multiply @t31 @t30)) % 4.63/4.85 (define @t33 () (tptp.greatest_lower_bound tptp.identity @t32)) % 4.63/4.85 (define @t34 () (@list tptp.a)) % 4.63/4.85 (define @t35 () (tptp.greatest_lower_bound tptp.b @t32)) % 4.63/4.85 (define @t36 () (@list tptp.a @t30)) % 4.63/4.85 (define @t37 () (tptp.multiply @t31 tptp.b)) % 4.63/4.85 (define @t38 () (@list @t31 @t37)) % 4.63/4.85 (define @t39 () (tptp.greatest_lower_bound tptp.b tptp.identity)) % 4.63/4.85 (define @t40 () (@list tptp.b tptp.b tptp.a)) % 4.63/4.85 (define @t41 () (tptp.least_upper_bound tptp.a tptp.a)) % 4.63/4.85 (define @t42 () (tptp.greatest_lower_bound tptp.a @t30)) % 4.63/4.85 (define @t43 () (tptp.greatest_lower_bound @t42 @t42)) % 4.63/4.85 (define @t44 () (tptp.multiply tptp.b @t42)) % 4.63/4.85 (define @t45 () (tptp.greatest_lower_bound @t30 tptp.a)) % 4.63/4.85 (define @t46 () (tptp.multiply tptp.b tptp.b)) % 4.63/4.85 (define @t47 () (tptp.multiply @t46 tptp.a)) % 4.63/4.85 (define @t48 () (tptp.multiply tptp.b @t30)) % 4.63/4.85 (define @t49 () (= @t47 @t48)) % 4.63/4.85 (define @t50 () (= @t48 @t47)) % 4.63/4.85 (define @t51 () (@list false)) % 4.63/4.85 (define @t52 () (@list @t11)) % 4.63/4.85 (define @t53 () (tptp.greatest_lower_bound @t31 @t37)) % 4.63/4.85 (define @t54 () (tptp.multiply @t53 tptp.b)) % 4.63/4.85 (define @t55 () (tptp.multiply @t30 tptp.a)) % 4.63/4.85 (define @t56 () (tptp.multiply tptp.a tptp.a)) % 4.63/4.85 (define @t57 () (tptp.multiply @t31 tptp.a)) % 4.63/4.85 (define @t58 () (tptp.multiply @t57 tptp.a)) % 4.63/4.85 (define @t59 () (tptp.multiply @t31 @t56)) % 4.63/4.85 (define @t60 () (= @t58 @t59)) % 4.63/4.85 (define @t61 () (@list @t31 tptp.a tptp.a)) % 4.63/4.85 (define @t62 () (= @t59 @t58)) % 4.63/4.85 (define @t63 () (tptp.greatest_lower_bound @t53 @t54)) % 4.63/4.85 (define @t64 () (tptp.multiply @t31 @t55)) % 4.63/4.85 (define @t65 () (tptp.greatest_lower_bound @t46 tptp.b)) % 4.63/4.85 (define @t66 () (= tptp.identity @t29)) % 4.63/4.85 (define @t67 () (= tptp.identity @t57)) % 4.63/4.85 (define @t68 () (= @t29 @t39)) % 4.63/4.85 (define @t69 () (= @t33 (tptp.greatest_lower_bound @t32 tptp.identity))) % 4.63/4.85 (define @t70 () (tptp.greatest_lower_bound @t29 @t32)) % 4.63/4.85 (define @t71 () (tptp.greatest_lower_bound tptp.identity @t35)) % 4.63/4.85 (define @t72 () (= @t71 @t70)) % 4.63/4.85 (define @t73 () (tptp.greatest_lower_bound @t35 tptp.identity)) % 4.63/4.85 (define @t74 () (= @t71 @t73)) % 4.63/4.85 (define @t75 () (tptp.greatest_lower_bound tptp.b tptp.b)) % 4.63/4.85 (define @t76 () (= tptp.b @t75)) % 4.63/4.85 (define @t77 () (tptp.least_upper_bound tptp.b @t39)) % 4.63/4.85 (define @t78 () (= tptp.b @t77)) % 4.63/4.85 (define @t79 () (tptp.least_upper_bound tptp.b @t35)) % 4.63/4.85 (define @t80 () (= tptp.b @t79)) % 4.63/4.85 (define @t81 () (tptp.greatest_lower_bound @t57 @t32)) % 4.63/4.85 (define @t82 () (tptp.multiply @t31 @t42)) % 4.63/4.85 (define @t83 () (= @t82 @t81)) % 4.63/4.85 (define @t84 () (= @t42 @t45)) % 4.63/4.85 (define @t85 () (tptp.greatest_lower_bound @t37 @t31)) % 4.63/4.85 (define @t86 () (= @t53 @t85)) % 4.63/4.85 (define @t87 () (tptp.least_upper_bound @t39 tptp.b)) % 4.63/4.85 (define @t88 () (= @t77 @t87)) % 4.63/4.85 (define @t89 () (= tptp.a @t41)) % 4.63/4.85 (define @t90 () (tptp.least_upper_bound @t31 @t31)) % 4.63/4.85 (define @t91 () (= @t31 @t90)) % 4.63/4.85 (define @t92 () (tptp.least_upper_bound @t33 @t33)) % 4.63/4.85 (define @t93 () (= @t33 @t92)) % 4.63/4.85 (define @t94 () (tptp.least_upper_bound tptp.a @t42)) % 4.63/4.85 (define @t95 () (= tptp.a @t94)) % 4.63/4.85 (define @t96 () (tptp.least_upper_bound @t31 @t53)) % 4.63/4.85 (define @t97 () (= @t31 @t96)) % 4.63/4.85 (define @t98 () (tptp.greatest_lower_bound tptp.a @t41)) % 4.63/4.85 (define @t99 () (= tptp.a @t98)) % 4.63/4.85 (define @t100 () (= @t31 (tptp.greatest_lower_bound @t31 @t90))) % 4.63/4.85 (define @t101 () (tptp.greatest_lower_bound @t33 @t92)) % 4.63/4.85 (define @t102 () (= @t33 @t101)) % 4.63/4.85 (define @t103 () (tptp.greatest_lower_bound @t30 @t30)) % 4.63/4.85 (define @t104 () (tptp.multiply @t75 tptp.a)) % 4.63/4.85 (define @t105 () (= @t104 @t103)) % 4.63/4.85 (define @t106 () (tptp.greatest_lower_bound @t98 @t30)) % 4.63/4.85 (define @t107 () (= (tptp.greatest_lower_bound tptp.a (tptp.greatest_lower_bound @t41 @t30)) @t106)) % 4.63/4.85 (define @t108 () (tptp.greatest_lower_bound @t103 tptp.a)) % 4.63/4.85 (define @t109 () (tptp.greatest_lower_bound @t30 @t45)) % 4.63/4.85 (define @t110 () (= @t109 @t108)) % 4.63/4.85 (define @t111 () (tptp.least_upper_bound @t30 @t44)) % 4.63/4.85 (define @t112 () (tptp.multiply tptp.b @t94)) % 4.63/4.85 (define @t113 () (= @t112 @t111)) % 4.63/4.85 (define @t114 () (tptp.multiply @t31 @t43)) % 4.63/4.85 (define @t115 () (= @t114 (tptp.greatest_lower_bound @t82 @t82))) % 4.63/4.85 (define @t116 () (tptp.multiply @t43 tptp.a)) % 4.63/4.85 (define @t117 () (tptp.multiply @t31 @t116)) % 4.63/4.85 (define @t118 () (= (tptp.multiply @t114 tptp.a) @t117)) % 4.63/4.85 (define @t119 () (= @t111 (tptp.least_upper_bound @t44 @t30))) % 4.63/4.85 (define @t120 () (tptp.greatest_lower_bound tptp.a @t109)) % 4.63/4.85 (define @t121 () (= @t120 (tptp.greatest_lower_bound @t42 @t45))) % 4.63/4.85 (define @t122 () (tptp.greatest_lower_bound @t30 @t48)) % 4.63/4.85 (define @t123 () (= @t44 @t122)) % 4.63/4.85 (define @t124 () (= @t122 (tptp.greatest_lower_bound @t48 @t30))) % 4.63/4.85 (define @t125 () (tptp.greatest_lower_bound @t56 @t55)) % 4.63/4.85 (define @t126 () (= (tptp.multiply @t42 tptp.a) @t125)) % 4.63/4.85 (define @t127 () (tptp.least_upper_bound @t53 @t63)) % 4.63/4.85 (define @t128 () (= @t53 @t127)) % 4.63/4.85 (define @t129 () (tptp.greatest_lower_bound @t59 @t64)) % 4.63/4.85 (define @t130 () (= (tptp.multiply @t31 @t125) @t129)) % 4.63/4.85 (define @t131 () (tptp.greatest_lower_bound @t47 @t30)) % 4.63/4.85 (define @t132 () (tptp.multiply @t65 tptp.a)) % 4.63/4.85 (define @t133 () (= @t132 @t131)) % 4.63/4.85 (define @t134 () (tptp.least_upper_bound @t63 @t31)) % 4.63/4.85 (define @t135 () (tptp.least_upper_bound @t31 @t63)) % 4.63/4.85 (define @t136 () (= @t135 @t134)) % 4.63/4.85 (define @t137 () (tptp.least_upper_bound @t31 @t127)) % 4.63/4.85 (define @t138 () (= @t137 (tptp.least_upper_bound @t96 @t63))) % 4.63/4.85 (define @t139 () (= @t59 (tptp.least_upper_bound @t59 @t129))) % 4.63/4.85 (define @t140 () (tptp.least_upper_bound tptp.a @t30)) % 4.63/4.85 (define @t141 () (tptp.greatest_lower_bound tptp.a @t140)) % 4.63/4.85 (define @t142 () (= tptp.a @t141)) % 4.63/4.85 (define @t143 () (tptp.multiply @t87 tptp.a)) % 4.63/4.85 (define @t144 () (= @t143 (tptp.least_upper_bound (tptp.multiply @t39 tptp.a) @t30))) % 4.63/4.85 (define @t145 () (tptp.least_upper_bound @t132 @t30)) % 4.63/4.85 (define @t146 () (tptp.multiply (tptp.least_upper_bound @t65 tptp.b) tptp.a)) % 4.63/4.85 (define @t147 () (= @t146 @t145)) % 4.63/4.85 (define @t148 () (tptp.multiply tptp.identity tptp.a)) % 4.63/4.85 (define @t149 () (= tptp.a @t148)) % 4.63/4.85 (define @t150 () (tptp.multiply @t73 tptp.a)) % 4.63/4.85 (define @t151 () (tptp.greatest_lower_bound @t134 @t134)) % 4.63/4.85 (define @t152 () (= tptp.identity @t33)) % 4.63/4.85 (define @t153 () (and @t66 @t67 @t68 @t69 @t72 @t74 @t76 @t78 @t80 @t83 @t84 @t86 @t88 @t89 @t91 @t93 @t95 @t97 @t99 @t100 @t102 @t105 @t107 @t110 @t113 @t115 @t118 @t119 @t121 @t123 @t50 @t124 @t126 @t128 @t130 @t133 @t62 @t136 @t138 @t139 @t142 @t144 @t147 @t149)) % 4.63/4.85 (assume @p1 @t4) % 4.63/4.85 (assume @p2 @t6) % 4.63/4.85 (assume @p3 @t11) % 4.63/4.85 (assume @p4 (forall @t13 (= @t12 (tptp.greatest_lower_bound @t8 @t1)))) % 4.63/4.85 (assume @p5 (forall @t13 (= @t14 (tptp.least_upper_bound @t8 @t1)))) % 4.63/4.85 (assume @p6 (forall @t10 (= (tptp.greatest_lower_bound @t1 @t15) (tptp.greatest_lower_bound @t12 @t7)))) % 4.63/4.85 (assume @p7 (forall @t10 (= (tptp.least_upper_bound @t1 @t16) (tptp.least_upper_bound @t14 @t7)))) % 4.63/4.85 (assume @p8 @t18) % 4.63/4.85 (assume @p9 @t20) % 4.63/4.85 (assume @p10 @t22) % 4.63/4.85 (assume @p11 @t24) % 4.63/4.85 (assume @p12 (forall @t10 (= (tptp.multiply @t1 @t16) (tptp.least_upper_bound @t9 @t25)))) % 4.63/4.85 (assume @p13 (forall @t10 (= (tptp.multiply @t1 @t15) (tptp.greatest_lower_bound @t9 @t25)))) % 4.63/4.85 (assume @p14 (forall @t28 (= (tptp.multiply @t16 @t1) (tptp.least_upper_bound @t27 @t26)))) % 4.63/4.85 (assume @p15 (forall @t28 (= (tptp.multiply @t15 @t1) (tptp.greatest_lower_bound @t27 @t26)))) % 4.63/4.85 (assume @p16 (= @t29 tptp.identity)) % 4.63/4.85 (assume @p17 (not (= @t33 tptp.identity))) % 4.63/4.85 (step @p18 :rule symm :premises (@p16)) % 4.63/4.85 (step @p19 :rule symm :premises (@p17)) % 4.63/4.85 (step @p20 :rule eq-symm :args (@t5 tptp.identity)) % 4.63/4.85 (step @p21 :rule cong :premises (@p20) :args (@t6)) % 4.63/4.85 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 4.63/4.85 (step @p23 :rule instantiate :premises (@p22) :args (@t34)) % 4.63/4.85 (step @p24 :rule instantiate :premises (@p4) :args ((@list tptp.identity tptp.b))) % 4.63/4.85 (step @p25 :rule instantiate :premises (@p4) :args ((@list tptp.identity @t32))) % 4.63/4.85 (step @p26 :rule instantiate :premises (@p6) :args ((@list tptp.identity tptp.b @t32))) % 4.63/4.85 (step @p27 :rule instantiate :premises (@p4) :args ((@list tptp.identity @t35))) % 4.63/4.85 (step @p28 :rule eq-symm :args (@t19 @t1)) % 4.63/4.85 (step @p29 :rule cong :premises (@p28) :args (@t20)) % 4.63/4.85 (step @p30 :rule eq_resolve :premises (@p9 @p29)) % 4.63/4.85 (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.b))) % 4.63/4.85 (step @p32 :rule eq-symm :args (@t21 @t1)) % 4.63/4.85 (step @p33 :rule cong :premises (@p32) :args (@t22)) % 4.63/4.85 (step @p34 :rule eq_resolve :premises (@p10 @p33)) % 4.63/4.85 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.b tptp.identity))) % 4.63/4.85 (step @p36 :rule instantiate :premises (@p34) :args ((@list tptp.b @t32))) % 4.63/4.85 (step @p37 :rule instantiate :premises (@p13) :args ((@list @t31 tptp.a @t30))) % 4.63/4.85 (step @p38 :rule instantiate :premises (@p4) :args (@t36)) % 4.63/4.85 (step @p39 :rule instantiate :premises (@p4) :args (@t38)) % 4.63/4.85 (step @p40 :rule instantiate :premises (@p5) :args ((@list tptp.b @t39))) % 4.63/4.85 (step @p41 :rule eq-symm :args (@t17 @t1)) % 4.63/4.85 (step @p42 :rule cong :premises (@p41) :args (@t18)) % 4.63/4.85 (step @p43 :rule eq_resolve :premises (@p8 @p42)) % 4.63/4.85 (step @p44 :rule instantiate :premises (@p43) :args (@t34)) % 4.63/4.85 (step @p45 :rule instantiate :premises (@p43) :args ((@list @t31))) % 4.63/4.85 (step @p46 :rule instantiate :premises (@p43) :args ((@list @t33))) % 4.63/4.85 (step @p47 :rule instantiate :premises (@p34) :args (@t36)) % 4.63/4.85 (step @p48 :rule instantiate :premises (@p34) :args (@t38)) % 4.63/4.85 (step @p49 :rule eq-symm :args (@t23 @t1)) % 4.63/4.85 (step @p50 :rule cong :premises (@p49) :args (@t24)) % 4.63/4.85 (step @p51 :rule eq_resolve :premises (@p11 @p50)) % 4.63/4.85 (step @p52 :rule instantiate :premises (@p51) :args ((@list tptp.a tptp.a))) % 4.63/4.85 (step @p53 :rule instantiate :premises (@p51) :args ((@list @t31 @t31))) % 4.63/4.85 (step @p54 :rule instantiate :premises (@p51) :args ((@list @t33 @t33))) % 4.63/4.85 (step @p55 :rule instantiate :premises (@p15) :args (@t40)) % 4.63/4.85 (step @p56 :rule instantiate :premises (@p6) :args ((@list tptp.a @t41 @t30))) % 4.63/4.85 (step @p57 :rule instantiate :premises (@p6) :args ((@list @t30 @t30 tptp.a))) % 4.63/4.85 (step @p58 :rule instantiate :premises (@p12) :args ((@list tptp.b tptp.a @t42))) % 4.63/4.85 (step @p59 :rule instantiate :premises (@p13) :args ((@list @t31 @t42 @t42))) % 4.63/4.85 (step @p60 :rule instantiate :premises (@p3) :args ((@list @t31 @t43 tptp.a))) % 4.63/4.85 (step @p61 :rule instantiate :premises (@p5) :args ((@list @t30 @t44))) % 4.63/4.85 (step @p62 :rule instantiate :premises (@p6) :args ((@list tptp.a @t30 @t45))) % 4.63/4.85 (step @p63 :rule instantiate :premises (@p13) :args ((@list tptp.b tptp.a @t30))) % 4.63/4.85 (step @p64 :rule eq-symm :args (@t47 @t48)) % 4.63/4.85 (step @p65 :rule refl :args (@t11)) % 4.63/4.85 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t11 @t49))) % 4.63/4.85 (assume-push @p289 @t11) % 4.63/4.85 (step @p68 :rule instantiate :premises (@p3) :args (@t40)) % 4.63/4.85 (step-pop @p290 :rule scope :premises (@p68)) % 4.63/4.85 (step @p69 :rule process_scope :premises (@p290) :args (@t49)) % 4.63/4.85 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 4.63/4.85 (step @p72 :rule implies_elim :premises (@p71)) % 4.63/4.85 (step @p73 :rule chain_m_resolution :premises (@p72 @p3) :args (@t50 @t51 @t52)) % 4.63/4.85 (step @p74 :rule instantiate :premises (@p4) :args ((@list @t30 @t48))) % 4.63/4.85 (step @p75 :rule instantiate :premises (@p15) :args ((@list tptp.a @t30 tptp.a))) % 4.63/4.85 (step @p76 :rule instantiate :premises (@p34) :args ((@list @t53 @t54))) % 4.63/4.85 (step @p77 :rule instantiate :premises (@p13) :args ((@list @t31 @t56 @t55))) % 4.63/4.85 (step @p78 :rule instantiate :premises (@p15) :args ((@list @t46 tptp.b tptp.a))) % 4.63/4.85 (step @p79 :rule eq-symm :args (@t58 @t59)) % 4.63/4.85 (step @p80 :rule cong :premises (@p65 @p79) :args ((=> @t11 @t60))) % 4.63/4.85 (assume-push @p291 @t11) % 4.63/4.85 (step @p82 :rule instantiate :premises (@p3) :args (@t61)) % 4.63/4.85 (step-pop @p292 :rule scope :premises (@p82)) % 4.63/4.85 (step @p83 :rule process_scope :premises (@p292) :args (@t60)) % 4.63/4.85 (step @p85 :rule eq_resolve :premises (@p83 @p80)) % 4.63/4.85 (step @p86 :rule implies_elim :premises (@p85)) % 4.63/4.85 (step @p87 :rule chain_m_resolution :premises (@p86 @p3) :args (@t62 @t51 @t52)) % 4.63/4.85 (step @p88 :rule instantiate :premises (@p5) :args ((@list @t31 @t63))) % 4.63/4.85 (step @p89 :rule instantiate :premises (@p7) :args ((@list @t31 @t53 @t63))) % 4.63/4.85 (step @p90 :rule instantiate :premises (@p34) :args ((@list @t59 @t64))) % 4.63/4.85 (step @p91 :rule instantiate :premises (@p51) :args (@t36)) % 4.63/4.85 (step @p92 :rule instantiate :premises (@p14) :args ((@list @t39 tptp.b tptp.a))) % 4.63/4.85 (step @p93 :rule instantiate :premises (@p14) :args ((@list @t65 tptp.b tptp.a))) % 4.63/4.85 (step @p94 :rule eq-symm :args (@t2 @t1)) % 4.63/4.85 (step @p95 :rule cong :premises (@p94) :args (@t4)) % 4.63/4.85 (step @p96 :rule eq_resolve :premises (@p1 @p95)) % 4.63/4.85 (step @p97 :rule instantiate :premises (@p96) :args (@t34)) % 4.63/4.85 (assume-push @p293 @t66) % 4.63/4.85 (assume-push @p294 @t67) % 4.63/4.85 (assume-push @p295 @t68) % 4.63/4.85 (assume-push @p296 @t69) % 4.63/4.85 (assume-push @p297 @t72) % 4.63/4.85 (assume-push @p298 @t74) % 4.63/4.85 (assume-push @p299 @t76) % 4.63/4.85 (assume-push @p300 @t78) % 4.63/4.85 (assume-push @p301 @t80) % 4.63/4.85 (assume-push @p302 @t83) % 4.63/4.85 (assume-push @p303 @t84) % 4.63/4.85 (assume-push @p304 @t86) % 4.63/4.85 (assume-push @p305 @t88) % 4.63/4.85 (assume-push @p306 @t89) % 4.63/4.85 (assume-push @p307 @t91) % 4.63/4.85 (assume-push @p308 @t93) % 4.63/4.85 (assume-push @p309 @t95) % 4.63/4.85 (assume-push @p310 @t97) % 4.63/4.85 (assume-push @p311 @t99) % 4.63/4.85 (assume-push @p312 @t100) % 4.63/4.85 (assume-push @p313 @t102) % 4.63/4.85 (assume-push @p314 @t105) % 4.63/4.85 (assume-push @p315 @t107) % 4.63/4.85 (assume-push @p316 @t110) % 4.63/4.85 (assume-push @p317 @t113) % 4.63/4.85 (assume-push @p318 @t115) % 4.63/4.85 (assume-push @p319 @t118) % 4.63/4.85 (assume-push @p320 @t119) % 4.63/4.85 (assume-push @p321 @t121) % 4.63/4.85 (assume-push @p322 @t123) % 4.63/4.85 (assume-push @p323 @t50) % 4.63/4.85 (assume-push @p324 @t124) % 4.63/4.85 (assume-push @p325 @t126) % 4.63/4.85 (assume-push @p326 @t128) % 4.63/4.85 (assume-push @p327 @t130) % 4.63/4.85 (assume-push @p328 @t133) % 4.63/4.85 (assume-push @p329 @t62) % 4.63/4.85 (assume-push @p330 @t136) % 4.63/4.85 (assume-push @p331 @t138) % 4.63/4.85 (assume-push @p332 @t139) % 4.63/4.85 (assume-push @p333 @t142) % 4.63/4.85 (assume-push @p334 @t144) % 4.63/4.85 (assume-push @p335 @t147) % 4.63/4.85 (assume-push @p336 @t149) % 4.63/4.85 (step @p142 :rule refl :args (@t32)) % 4.63/4.85 (step @p143 :rule symm :premises (@p23)) % 4.63/4.85 (step @p144 :rule cong :premises (@p143 @p142) :args (@t81)) % 4.63/4.85 (step @p145 :rule refl :args (tptp.a)) % 4.63/4.85 (step @p146 :rule symm :premises (@p36)) % 4.63/4.85 (step @p147 :rule cong :premises (@p146 @p145) :args ((tptp.multiply @t79 tptp.a))) % 4.63/4.85 (step @p148 :rule symm :premises (@p35)) % 4.63/4.85 (step @p149 :rule symm :premises (@p40)) % 4.63/4.85 (step @p150 :rule trans :premises (@p149 @p148)) % 4.63/4.85 (step @p151 :rule trans :premises (@p150 @p36)) % 4.63/4.85 (step @p152 :rule cong :premises (@p151 @p145) :args (@t143)) % 4.63/4.85 (step @p153 :rule symm :premises (@p92)) % 4.63/4.85 (step @p154 :rule symm :premises (@p47)) % 4.63/4.85 (step @p155 :rule cong :premises (@p36 @p154) :args (@t112)) % 4.63/4.85 (step @p156 :rule symm :premises (@p58)) % 4.63/4.85 (step @p157 :rule symm :premises (@p61)) % 4.63/4.85 (step @p158 :rule refl :args (@t30)) % 4.63/4.85 (step @p159 :rule symm :premises (@p63)) % 4.63/4.85 (step @p160 :rule symm :premises (@p74)) % 4.63/4.85 (step @p68 :rule instantiate :premises (@p3) :args (@t40)) % 4.63/4.85 (step @p161 :rule cong :premises (@p68 @p158) :args (@t131)) % 4.63/4.85 (step @p162 :rule trans :premises (@p78 @p161 @p160 @p159)) % 4.63/4.85 (step @p163 :rule cong :premises (@p162 @p158) :args (@t145)) % 4.63/4.85 (step @p164 :rule trans :premises (@p93 @p163 @p157 @p156 @p155 @p147)) % 4.63/4.85 (step @p165 :rule trans :premises (@p143 @p18 @p24)) % 4.63/4.85 (step @p166 :rule cong :premises (@p165 @p145) :args (@t58)) % 4.63/4.85 (step @p167 :rule cong :premises (@p166 @p164) :args ((tptp.least_upper_bound @t58 @t146))) % 4.63/4.85 (step @p168 :rule symm :premises (@p164)) % 4.63/4.85 (step @p169 :rule symm :premises (@p90)) % 4.63/4.85 (step @p170 :rule symm :premises (@p52)) % 4.63/4.85 (step @p171 :rule cong :premises (@p170 @p158) :args (@t106)) % 4.63/4.85 (step @p172 :rule cong :premises (@p44 @p158) :args (@t42)) % 4.63/4.85 (step @p173 :rule symm :premises (@p38)) % 4.63/4.85 (step @p174 :rule symm :premises (@p31)) % 4.63/4.85 (step @p175 :rule trans :premises (@p174 @p36)) % 4.63/4.85 (step @p176 :rule cong :premises (@p175 @p145) :args (@t104)) % 4.63/4.85 (step @p177 :rule symm :premises (@p55)) % 4.63/4.85 (step @p178 :rule trans :premises (@p177 @p176 @p147)) % 4.63/4.85 (step @p179 :rule cong :premises (@p178 @p145) :args (@t108)) % 4.63/4.85 (step @p180 :rule trans :premises (@p57 @p179 @p173 @p172)) % 4.63/4.85 (step @p181 :rule cong :premises (@p145 @p180) :args (@t120)) % 4.63/4.85 (step @p182 :rule symm :premises (@p62)) % 4.63/4.85 (step @p183 :rule refl :args (@t42)) % 4.63/4.85 (step @p184 :rule cong :premises (@p183 @p38) :args (@t43)) % 4.63/4.85 (step @p185 :rule trans :premises (@p184 @p182 @p181 @p56 @p171)) % 4.63/4.85 (step @p186 :rule cong :premises (@p185 @p145) :args (@t116)) % 4.63/4.85 (step @p187 :rule trans :premises (@p186 @p75)) % 4.63/4.85 (step @p188 :rule refl :args (@t31)) % 4.63/4.85 (step @p189 :rule cong :premises (@p188 @p187) :args (@t117)) % 4.63/4.85 (step @p190 :rule symm :premises (@p59)) % 4.63/4.85 (step @p191 :rule symm :premises (@p37)) % 4.63/4.85 (step @p192 :rule symm :premises (@p144)) % 4.63/4.85 (step @p193 :rule symm :premises (@p46)) % 4.63/4.85 (step @p194 :rule trans :premises (@p193 @p192 @p191)) % 4.63/4.85 (step @p195 :rule symm :premises (@p25)) % 4.63/4.85 (step @p196 :rule trans :premises (@p195 @p192 @p191)) % 4.63/4.85 (step @p197 :rule trans :premises (@p25 @p196)) % 4.63/4.85 (step @p198 :rule cong :premises (@p197 @p194) :args (@t101)) % 4.63/4.85 (step @p199 :rule cong :premises (@p16 @p142) :args (@t70)) % 4.63/4.85 (step @p200 :rule symm :premises (@p27)) % 4.63/4.85 (step @p201 :rule trans :premises (@p200 @p26 @p199 @p54 @p198 @p190)) % 4.63/4.85 (step @p202 :rule cong :premises (@p201 @p145) :args (@t150)) % 4.63/4.85 (step @p203 :rule trans :premises (@p202 @p60 @p189 @p77)) % 4.63/4.85 (step @p204 :rule refl :args (@t59)) % 4.63/4.85 (step @p205 :rule cong :premises (@p204 @p203) :args ((tptp.least_upper_bound @t59 @t150))) % 4.63/4.85 (step @p206 :rule trans :premises (@p205 @p169)) % 4.63/4.85 (step @p207 :rule symm :premises (@p205)) % 4.63/4.85 (step @p82 :rule instantiate :premises (@p3) :args (@t61)) % 4.63/4.85 (step @p208 :rule cong :premises (@p23 @p145) :args (@t148)) % 4.63/4.85 (step @p209 :rule trans :premises (@p97 @p208 @p82 @p90 @p207)) % 4.63/4.85 (step @p210 :rule trans :premises (@p209 @p206 @p87)) % 4.63/4.85 (step @p211 :rule cong :premises (@p210 @p168) :args (@t140)) % 4.63/4.85 (step @p212 :rule trans :premises (@p211 @p167 @p153 @p152 @p147)) % 4.63/4.85 (step @p213 :rule symm :premises (@p91)) % 4.63/4.85 (step @p214 :rule cong :premises (@p213 @p212) :args ((tptp.greatest_lower_bound @t141 @t140))) % 4.63/4.85 (step @p215 :rule refl :args (@t140)) % 4.63/4.85 (step @p216 :rule cong :premises (@p91 @p215) :args (@t141)) % 4.63/4.85 (step @p217 :rule trans :premises (@p91 @p216 @p214)) % 4.63/4.85 (step @p218 :rule symm :premises (@p53)) % 4.63/4.85 (step @p219 :rule refl :args (@t90)) % 4.63/4.85 (step @p220 :rule symm :premises (@p45)) % 4.63/4.85 (step @p221 :rule cong :premises (@p220 @p219) :args ((tptp.greatest_lower_bound @t90 @t90))) % 4.63/4.85 (step @p222 :rule symm :premises (@p48)) % 4.63/4.85 (step @p223 :rule symm :premises (@p39)) % 4.63/4.85 (step @p224 :rule cong :premises (@p220 @p223) :args ((tptp.least_upper_bound @t90 @t85))) % 4.63/4.85 (step @p225 :rule symm :premises (@p76)) % 4.63/4.85 (step @p226 :rule trans :premises (@p225 @p39)) % 4.63/4.85 (step @p227 :rule cong :premises (@p45 @p226) :args (@t137)) % 4.63/4.85 (step @p228 :rule symm :premises (@p89)) % 4.63/4.85 (step @p229 :rule refl :args (@t63)) % 4.63/4.85 (step @p230 :rule cong :premises (@p48 @p229) :args (@t135)) % 4.63/4.85 (step @p231 :rule symm :premises (@p88)) % 4.63/4.85 (step @p232 :rule trans :premises (@p231 @p230 @p228 @p227 @p224 @p222 @p45)) % 4.63/4.85 (step @p233 :rule cong :premises (@p232 @p232) :args (@t151)) % 4.63/4.85 (step @p234 :rule trans :premises (@p233 @p221 @p218)) % 4.63/4.85 (step @p235 :rule cong :premises (@p234 @p217) :args ((tptp.multiply @t151 tptp.a))) % 4.63/4.85 (step @p236 :rule symm :premises (@p234)) % 4.63/4.85 (step @p237 :rule cong :premises (@p236 @p145) :args (@t57)) % 4.63/4.85 (step @p238 :rule trans :premises (@p23 @p237 @p235 @p37 @p144)) % 4.63/4.85 (step-pop @p337 :rule scope :premises (@p238)) % 4.63/4.85 (step-pop @p338 :rule scope :premises (@p337)) % 4.63/4.85 (step-pop @p339 :rule scope :premises (@p338)) % 4.63/4.85 (step-pop @p340 :rule scope :premises (@p339)) % 4.63/4.85 (step-pop @p341 :rule scope :premises (@p340)) % 4.63/4.85 (step-pop @p342 :rule scope :premises (@p341)) % 4.63/4.85 (step-pop @p343 :rule scope :premises (@p342)) % 4.63/4.85 (step-pop @p344 :rule scope :premises (@p343)) % 4.63/4.85 (step-pop @p345 :rule scope :premises (@p344)) % 4.63/4.85 (step-pop @p346 :rule scope :premises (@p345)) % 4.63/4.85 (step-pop @p347 :rule scope :premises (@p346)) % 4.63/4.85 (step-pop @p348 :rule scope :premises (@p347)) % 4.63/4.85 (step-pop @p349 :rule scope :premises (@p348)) % 4.63/4.85 (step-pop @p350 :rule scope :premises (@p349)) % 4.63/4.85 (step-pop @p351 :rule scope :premises (@p350)) % 4.63/4.85 (step-pop @p352 :rule scope :premises (@p351)) % 4.63/4.85 (step-pop @p353 :rule scope :premises (@p352)) % 4.63/4.85 (step-pop @p354 :rule scope :premises (@p353)) % 4.63/4.85 (step-pop @p355 :rule scope :premises (@p354)) % 4.63/4.85 (step-pop @p356 :rule scope :premises (@p355)) % 4.63/4.85 (step-pop @p357 :rule scope :premises (@p356)) % 4.63/4.85 (step-pop @p358 :rule scope :premises (@p357)) % 4.63/4.85 (step-pop @p359 :rule scope :premises (@p358)) % 4.63/4.85 (step-pop @p360 :rule scope :premises (@p359)) % 4.63/4.85 (step-pop @p361 :rule scope :premises (@p360)) % 4.63/4.85 (step-pop @p362 :rule scope :premises (@p361)) % 4.63/4.85 (step-pop @p363 :rule scope :premises (@p362)) % 4.63/4.85 (step-pop @p364 :rule scope :premises (@p363)) % 4.63/4.85 (step-pop @p365 :rule scope :premises (@p364)) % 4.63/4.85 (step-pop @p366 :rule scope :premises (@p365)) % 4.63/4.85 (step-pop @p367 :rule scope :premises (@p366)) % 4.63/4.85 (step-pop @p368 :rule scope :premises (@p367)) % 4.63/4.85 (step-pop @p369 :rule scope :premises (@p368)) % 4.63/4.85 (step-pop @p370 :rule scope :premises (@p369)) % 4.63/4.85 (step-pop @p371 :rule scope :premises (@p370)) % 4.63/4.85 (step-pop @p372 :rule scope :premises (@p371)) % 4.63/4.85 (step-pop @p373 :rule scope :premises (@p372)) % 4.63/4.85 (step-pop @p374 :rule scope :premises (@p373)) % 4.63/4.85 (step-pop @p375 :rule scope :premises (@p374)) % 4.63/4.85 (step-pop @p376 :rule scope :premises (@p375)) % 4.63/4.85 (step-pop @p377 :rule scope :premises (@p376)) % 4.63/4.85 (step-pop @p378 :rule scope :premises (@p377)) % 4.63/4.85 (step-pop @p379 :rule scope :premises (@p378)) % 4.63/4.85 (step-pop @p380 :rule scope :premises (@p379)) % 4.63/4.85 (step @p239 :rule process_scope :premises (@p380) :args (@t152)) % 4.63/4.85 (step @p284 :rule implies_elim :premises (@p239)) % 4.63/4.85 (step @p285 :rule cnf_and_neg :args (@t153)) % 4.63/4.85 (step @p286 :rule resolution :premises (@p285 @p284) :args (true @t153)) % 4.63/4.85 (step @p287 :rule reordering :premises (@p286) :args ((or @t152 (not @t66) (not @t67) (not @t68) (not @t69) (not @t72) (not @t74) (not @t76) (not @t78) (not @t80) (not @t83) (not @t84) (not @t86) (not @t88) (not @t89) (not @t91) (not @t93) (not @t95) (not @t97) (not @t99) (not @t100) (not @t102) (not @t105) (not @t107) (not @t110) (not @t113) (not @t115) (not @t118) (not @t119) (not @t121) (not @t123) (not @t50) (not @t124) (not @t126) (not @t128) (not @t130) (not @t133) (not @t62) (not @t136) (not @t138) (not @t139) (not @t142) (not @t144) (not @t147) (not @t149)))) % 4.63/4.85 (step @p288 false :rule chain_m_resolution :premises (@p287 @p97 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p78 @p77 @p76 @p75 @p74 @p73 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p48 @p47 @p46 @p45 @p44 @p40 @p39 @p38 @p37 @p36 @p35 @p31 @p27 @p26 @p25 @p24 @p23 @p19 @p18) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false) (@list @t149 @t147 @t144 @t142 @t139 @t138 @t136 @t62 @t133 @t130 @t128 @t126 @t124 @t50 @t123 @t121 @t119 @t118 @t115 @t113 @t110 @t107 @t105 @t102 @t100 @t99 @t97 @t95 @t93 @t91 @t89 @t88 @t86 @t84 @t83 @t80 @t78 @t76 @t74 @t72 @t69 @t68 @t67 @t152 @t66))) % 4.63/4.85 ) % 4.63/4.87 % SZS output end Proof % 4.63/4.87 % cvc5 exiting %------------------------------------------------------------------------------