%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV380+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 : Wed Jul 20 21:42:35 EDT 2022
% Result : Theorem 32.77s 32.97s
% Output : Refutation 32.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 55 ( 23 unt; 24 nHn; 55 RR)
% Number of literals : 121 ( 0 equ; 44 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
~ contains_slb(create_slb,u),
file('SWV380+1.p',unknown),
[] ).
cnf(9,axiom,
equal(findmin_cpq_res(u),removemin_cpq_res(u)),
file('SWV380+1.p',unknown),
[] ).
cnf(10,axiom,
~ ok(triple(skc3,skc4,skc5)),
file('SWV380+1.p',unknown),
[] ).
cnf(11,axiom,
ok(removemin_cpq_eff(triple(skc3,skc4,skc5))),
file('SWV380+1.p',unknown),
[] ).
cnf(12,axiom,
( less_than(u,v)
| less_than(v,u) ),
file('SWV380+1.p',unknown),
[] ).
cnf(14,axiom,
~ ok(triple(u,v,bad)),
file('SWV380+1.p',unknown),
[] ).
cnf(16,axiom,
equal(findmin_cpq_res(triple(u,create_slb,v)),bottom),
file('SWV380+1.p',unknown),
[] ).
cnf(20,axiom,
( ok(triple(u,v,w))
| equal(w,bad) ),
file('SWV380+1.p',unknown),
[] ).
cnf(21,axiom,
equal(remove_cpq(findmin_cpq_eff(u),findmin_cpq_res(u)),removemin_cpq_eff(u)),
file('SWV380+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ less_than(u,v)
| less_than(v,u)
| strictly_less_than(u,v) ),
file('SWV380+1.p',unknown),
[] ).
cnf(29,axiom,
equal(findmin_cpq_eff(triple(u,create_slb,v)),triple(u,create_slb,bad)),
file('SWV380+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ ok(remove_cpq(triple(u,v,w),x))
| ok(triple(u,v,w)) ),
file('SWV380+1.p',unknown),
[] ).
cnf(38,axiom,
( contains_slb(u,v)
| equal(remove_cpq(triple(w,u,x),v),triple(w,u,bad)) ),
file('SWV380+1.p',unknown),
[] ).
cnf(48,axiom,
( equal(u,create_slb)
| contains_slb(u,findmin_pqp_res(v))
| equal(findmin_cpq_eff(triple(v,u,w)),triple(v,update_slb(u,findmin_pqp_res(v)),bad)) ),
file('SWV380+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ contains_slb(u,findmin_pqp_res(v))
| ~ less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v))
| equal(u,create_slb)
| equal(triple(v,update_slb(u,findmin_pqp_res(v)),w),findmin_cpq_eff(triple(v,u,w))) ),
file('SWV380+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))
| ~ contains_slb(v,findmin_pqp_res(u))
| equal(findmin_cpq_eff(triple(u,v,w)),triple(u,update_slb(v,findmin_pqp_res(u)),bad))
| equal(v,create_slb) ),
file('SWV380+1.p',unknown),
[] ).
cnf(54,plain,
equal(removemin_cpq_res(triple(u,create_slb,v)),bottom),
inference(rew,[status(thm),theory(equality)],[9,16]),
[iquote('0:Rew:9.0,16.0')] ).
cnf(55,plain,
equal(remove_cpq(findmin_cpq_eff(u),removemin_cpq_res(u)),removemin_cpq_eff(u)),
inference(rew,[status(thm),theory(equality)],[9,21]),
[iquote('0:Rew:9.0,21.0')] ).
cnf(57,plain,
( strictly_less_than(u,v)
| less_than(v,u) ),
inference(mrr,[status(thm)],[26,12]),
[iquote('0:MRR:26.0,12.0')] ).
cnf(58,plain,
( ~ strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))
| equal(v,create_slb)
| equal(findmin_cpq_eff(triple(u,v,w)),triple(u,update_slb(v,findmin_pqp_res(u)),bad)) ),
inference(mrr,[status(thm)],[53,48]),
[iquote('0:MRR:53.1,48.1')] ).
cnf(60,plain,
equal(skc5,bad),
inference(res,[status(thm),theory(equality)],[20,10]),
[iquote('0:Res:20.0,10.0')] ).
cnf(61,plain,
ok(removemin_cpq_eff(triple(skc3,skc4,bad))),
inference(rew,[status(thm),theory(equality)],[60,11]),
[iquote('0:Rew:60.0,11.0')] ).
cnf(69,plain,
equal(remove_cpq(findmin_cpq_eff(triple(u,create_slb,v)),bottom),removemin_cpq_eff(triple(u,create_slb,v))),
inference(spr,[status(thm),theory(equality)],[54,55]),
[iquote('0:SpR:54.0,55.0')] ).
cnf(70,plain,
equal(remove_cpq(triple(u,create_slb,bad),bottom),removemin_cpq_eff(triple(u,create_slb,v))),
inference(rew,[status(thm),theory(equality)],[29,69]),
[iquote('0:Rew:29.0,69.0')] ).
cnf(125,plain,
( contains_slb(create_slb,bottom)
| equal(removemin_cpq_eff(triple(u,create_slb,v)),triple(u,create_slb,bad)) ),
inference(spr,[status(thm),theory(equality)],[38,70]),
[iquote('0:SpR:38.1,70.0')] ).
cnf(132,plain,
equal(removemin_cpq_eff(triple(u,create_slb,v)),triple(u,create_slb,bad)),
inference(mrr,[status(thm)],[125,5]),
[iquote('0:MRR:125.0,5.0')] ).
cnf(266,plain,
( ~ ok(remove_cpq(findmin_cpq_eff(triple(u,v,w)),x))
| equal(v,create_slb)
| contains_slb(v,findmin_pqp_res(u))
| ok(triple(u,update_slb(v,findmin_pqp_res(u)),bad)) ),
inference(spl,[status(thm),theory(equality)],[48,34]),
[iquote('0:SpL:48.2,34.0')] ).
cnf(270,plain,
( ~ ok(findmin_cpq_eff(triple(u,v,w)))
| equal(v,create_slb)
| contains_slb(v,findmin_pqp_res(u)) ),
inference(spl,[status(thm),theory(equality)],[48,14]),
[iquote('0:SpL:48.2,14.0')] ).
cnf(276,plain,
( ~ ok(remove_cpq(findmin_cpq_eff(triple(u,v,w)),x))
| equal(v,create_slb)
| contains_slb(v,findmin_pqp_res(u)) ),
inference(mrr,[status(thm)],[266,14]),
[iquote('0:MRR:266.3,14.0')] ).
cnf(295,plain,
( ~ ok(removemin_cpq_eff(triple(u,v,w)))
| equal(v,create_slb)
| contains_slb(v,findmin_pqp_res(u)) ),
inference(spl,[status(thm),theory(equality)],[55,276]),
[iquote('0:SpL:55.0,276.0')] ).
cnf(318,plain,
( equal(skc4,create_slb)
| contains_slb(skc4,findmin_pqp_res(skc3)) ),
inference(res,[status(thm),theory(equality)],[61,295]),
[iquote('0:Res:61.0,295.0')] ).
cnf(319,plain,
equal(skc4,create_slb),
inference(spt,[spt(split,[position(s1)])],[318]),
[iquote('1:Spt:318.0')] ).
cnf(320,plain,
ok(removemin_cpq_eff(triple(skc3,create_slb,bad))),
inference(rew,[status(thm),theory(equality)],[319,61]),
[iquote('1:Rew:319.0,61.0')] ).
cnf(322,plain,
ok(triple(skc3,create_slb,bad)),
inference(rew,[status(thm),theory(equality)],[132,320]),
[iquote('1:Rew:132.0,320.0')] ).
cnf(323,plain,
$false,
inference(mrr,[status(thm)],[322,14]),
[iquote('1:MRR:322.0,14.0')] ).
cnf(324,plain,
~ equal(skc4,create_slb),
inference(spt,[spt(split,[position(sa)])],[323,319]),
[iquote('1:Spt:323.0,318.0,319.0')] ).
cnf(325,plain,
contains_slb(skc4,findmin_pqp_res(skc3)),
inference(spt,[spt(split,[position(s2)])],[318]),
[iquote('1:Spt:323.0,318.1')] ).
cnf(352,plain,
( ~ strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))
| ~ ok(remove_cpq(findmin_cpq_eff(triple(u,v,w)),x))
| equal(v,create_slb)
| ok(triple(u,update_slb(v,findmin_pqp_res(u)),bad)) ),
inference(spl,[status(thm),theory(equality)],[58,34]),
[iquote('0:SpL:58.2,34.0')] ).
cnf(360,plain,
( ~ strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))
| ~ ok(findmin_cpq_eff(triple(u,v,w)))
| equal(v,create_slb) ),
inference(spl,[status(thm),theory(equality)],[58,14]),
[iquote('0:SpL:58.2,14.0')] ).
cnf(368,plain,
( ~ strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))
| ~ ok(remove_cpq(findmin_cpq_eff(triple(u,v,w)),x))
| equal(v,create_slb) ),
inference(mrr,[status(thm)],[352,14]),
[iquote('0:MRR:352.3,14.0')] ).
cnf(555,plain,
( ~ ok(findmin_cpq_eff(triple(u,v,w)))
| less_than(lookup_slb(v,findmin_pqp_res(u)),findmin_pqp_res(u))
| equal(v,create_slb) ),
inference(res,[status(thm),theory(equality)],[57,360]),
[iquote('0:Res:57.0,360.0')] ).
cnf(724,plain,
( ~ contains_slb(u,findmin_pqp_res(v))
| ~ less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v))
| ~ ok(remove_cpq(findmin_cpq_eff(triple(v,u,w)),x))
| equal(u,create_slb)
| ok(triple(v,update_slb(u,findmin_pqp_res(v)),w)) ),
inference(spl,[status(thm),theory(equality)],[52,34]),
[iquote('0:SpL:52.3,34.0')] ).
cnf(733,plain,
( ~ contains_slb(u,findmin_pqp_res(v))
| ~ less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v))
| ~ ok(findmin_cpq_eff(triple(v,u,bad)))
| equal(u,create_slb) ),
inference(spl,[status(thm),theory(equality)],[52,14]),
[iquote('0:SpL:52.3,14.0')] ).
cnf(743,plain,
( ~ less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v))
| ~ ok(findmin_cpq_eff(triple(v,u,bad)))
| equal(u,create_slb) ),
inference(mrr,[status(thm)],[733,270]),
[iquote('0:MRR:733.0,270.2')] ).
cnf(744,plain,
( ~ ok(findmin_cpq_eff(triple(u,v,bad)))
| equal(v,create_slb) ),
inference(mrr,[status(thm)],[743,555]),
[iquote('0:MRR:743.0,555.1')] ).
cnf(753,plain,
( ~ contains_slb(u,findmin_pqp_res(v))
| ~ less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v))
| ~ ok(remove_cpq(findmin_cpq_eff(triple(v,u,w)),x))
| equal(u,create_slb)
| ok(findmin_cpq_eff(triple(v,u,w))) ),
inference(rew,[status(thm),theory(equality)],[52,724]),
[iquote('0:Rew:52.3,724.4')] ).
cnf(754,plain,
( ~ less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v))
| ~ ok(remove_cpq(findmin_cpq_eff(triple(v,u,w)),x))
| equal(u,create_slb)
| ok(findmin_cpq_eff(triple(v,u,w))) ),
inference(mrr,[status(thm)],[753,276]),
[iquote('0:MRR:753.0,276.2')] ).
cnf(1014,plain,
( ~ strictly_less_than(findmin_pqp_res(u),lookup_slb(v,findmin_pqp_res(u)))
| ~ ok(removemin_cpq_eff(triple(u,v,w)))
| equal(v,create_slb) ),
inference(spl,[status(thm),theory(equality)],[55,368]),
[iquote('0:SpL:55.0,368.1')] ).
cnf(1026,plain,
( ~ ok(removemin_cpq_eff(triple(u,v,w)))
| less_than(lookup_slb(v,findmin_pqp_res(u)),findmin_pqp_res(u))
| equal(v,create_slb) ),
inference(res,[status(thm),theory(equality)],[57,1014]),
[iquote('0:Res:57.0,1014.0')] ).
cnf(16076,plain,
( ~ less_than(lookup_slb(u,findmin_pqp_res(v)),findmin_pqp_res(v))
| ~ ok(removemin_cpq_eff(triple(v,u,w)))
| equal(u,create_slb)
| ok(findmin_cpq_eff(triple(v,u,w))) ),
inference(spl,[status(thm),theory(equality)],[55,754]),
[iquote('0:SpL:55.0,754.1')] ).
cnf(16082,plain,
( ~ ok(removemin_cpq_eff(triple(u,v,w)))
| equal(v,create_slb)
| ok(findmin_cpq_eff(triple(u,v,w))) ),
inference(mrr,[status(thm)],[16076,1026]),
[iquote('0:MRR:16076.0,1026.1')] ).
cnf(16123,plain,
( ~ ok(removemin_cpq_eff(triple(u,v,bad)))
| equal(v,create_slb)
| equal(v,create_slb) ),
inference(res,[status(thm),theory(equality)],[16082,744]),
[iquote('0:Res:16082.2,744.0')] ).
cnf(16126,plain,
( ~ ok(removemin_cpq_eff(triple(u,v,bad)))
| equal(v,create_slb) ),
inference(obv,[status(thm),theory(equality)],[16123]),
[iquote('0:Obv:16123.1')] ).
cnf(16158,plain,
equal(skc4,create_slb),
inference(res,[status(thm),theory(equality)],[61,16126]),
[iquote('0:Res:61.0,16126.0')] ).
cnf(16159,plain,
$false,
inference(mrr,[status(thm)],[16158,324]),
[iquote('1:MRR:16158.0,324.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV380+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 06:58:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 32.77/32.97
% 32.77/32.97 SPASS V 3.9
% 32.77/32.97 SPASS beiseite: Proof found.
% 32.77/32.97 % SZS status Theorem
% 32.77/32.97 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.77/32.97 SPASS derived 14054 clauses, backtracked 4 clauses, performed 4 splits and kept 7212 clauses.
% 32.77/32.97 SPASS allocated 108116 KBytes.
% 32.77/32.97 SPASS spent 0:0:32.35 on the problem.
% 32.77/32.97 0:00:00.03 for the input.
% 32.77/32.97 0:00:00.04 for the FLOTTER CNF translation.
% 32.77/32.97 0:00:00.34 for inferences.
% 32.77/32.97 0:00:00.18 for the backtracking.
% 32.77/32.97 0:0:31.69 for the reduction.
% 32.77/32.97
% 32.77/32.97
% 32.77/32.97 Here is a proof with depth 4, length 55 :
% 32.77/32.97 % SZS output start Refutation
% See solution above
% 32.77/32.97 Formulae used in the proof : ax20 ax53 l16_co totality ax40 ax50 ax41 ax52 stricly_smaller_definition ax46 l16_l14 ax43 ax47 ax49 ax48
% 32.77/32.97
%------------------------------------------------------------------------------