TSTP Solution File: SWV167+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV167+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 : 600s
% DateTime : Wed Jul 20 21:41:30 EDT 2022
% Result : Theorem 1.17s 1.32s
% Output : Refutation 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV167+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n026.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 : Wed Jun 15 13:43:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.17/1.32
% 1.17/1.32 SPASS V 3.9
% 1.17/1.32 SPASS beiseite: Proof found.
% 1.17/1.32 % SZS status Theorem
% 1.17/1.32 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.17/1.32 SPASS derived 2826 clauses, backtracked 615 clauses, performed 8 splits and kept 1989 clauses.
% 1.17/1.32 SPASS allocated 88279 KBytes.
% 1.17/1.32 SPASS spent 0:00:00.96 on the problem.
% 1.17/1.32 0:00:00.04 for the input.
% 1.17/1.32 0:00:00.08 for the FLOTTER CNF translation.
% 1.17/1.32 0:00:00.02 for inferences.
% 1.17/1.32 0:00:00.02 for the backtracking.
% 1.17/1.32 0:00:00.66 for the reduction.
% 1.17/1.32
% 1.17/1.32
% 1.17/1.32 Here is a proof with depth 3, length 69 :
% 1.17/1.32 % SZS output start Refutation
% 1.17/1.32 2[0:Inp] || -> leq(n0,skc1)*r.
% 1.17/1.32 3[0:Inp] || -> leq(n0,pv40)*l.
% 1.17/1.32 4[0:Inp] || -> leq(pv40,n4)*r.
% 1.17/1.32 5[0:Inp] || -> leq(skc1,pv40)*l.
% 1.17/1.32 34[0:Inp] || -> leq(u,u)*.
% 1.17/1.32 35[0:Inp] || -> equal(succ(n0),n1)**.
% 1.17/1.32 36[0:Inp] || gt(u,u)* -> .
% 1.17/1.32 38[0:Inp] || -> equal(succ(tptp_minus_1),n0)**.
% 1.17/1.32 40[0:Inp] || -> equal(a_select2(mu_init,pv40),init)**.
% 1.17/1.32 42[0:Inp] || -> equal(succ(succ(n0)),n2)**.
% 1.17/1.32 59[0:Inp] || -> equal(pred(succ(u)),u)**.
% 1.17/1.32 61[0:Inp] || equal(a_select2(mu_init,skc1),init)** -> .
% 1.17/1.32 62[0:Inp] || -> equal(succ(succ(succ(n0))),n3)**.
% 1.17/1.32 69[0:Inp] || -> equal(succ(succ(succ(succ(n0)))),n4)**.
% 1.17/1.32 81[0:Inp] || gt(u,v)*+ -> leq(v,pred(u))*.
% 1.17/1.32 103[0:Inp] || leq(u,v)* -> gt(v,u) equal(u,v).
% 1.17/1.32 114[0:Inp] || leq(u,pred(pv40)) leq(n0,u) -> equal(a_select2(mu_init,u),init)**.
% 1.17/1.32 117[0:Inp] || leq(u,n1)* leq(n0,u) -> equal(u,n1) equal(u,n0).
% 1.17/1.32 156[0:Rew:35.0,42.0] || -> equal(succ(n1),n2)**.
% 1.17/1.32 159[0:Rew:156.0,62.0,35.0,62.0] || -> equal(succ(n2),n3)**.
% 1.17/1.32 161[0:Rew:159.0,69.0,156.0,69.0,35.0,69.0] || -> equal(succ(n3),n4)**.
% 1.17/1.32 169[0:Res:114.2,61.0] || leq(n0,skc1) leq(skc1,pred(pv40))*r -> .
% 1.17/1.32 176[0:Res:103.1,61.0] || leq(init,a_select2(mu_init,skc1))*r -> gt(a_select2(mu_init,skc1),init).
% 1.17/1.32 194[0:Res:5.0,103.0] || -> gt(pv40,skc1)*r equal(skc1,pv40).
% 1.17/1.32 253[0:Res:4.0,103.0] || -> gt(n4,pv40)*l equal(n4,pv40).
% 1.17/1.32 323[0:Res:3.0,117.0] || leq(pv40,n1)*r -> equal(n1,pv40) equal(n0,pv40).
% 1.17/1.32 429[0:MRR:169.0,2.0] || leq(skc1,pred(pv40))*r -> .
% 1.17/1.32 522[1:Spt:323.2] || -> equal(n0,pv40)**.
% 1.17/1.32 681[1:Rew:522.0,38.0] || -> equal(succ(tptp_minus_1),pv40)**.
% 1.17/1.32 815[2:Spt:194.1] || -> equal(skc1,pv40)**.
% 1.17/1.32 818[2:Rew:815.0,176.1] || leq(init,a_select2(mu_init,skc1))*r -> gt(a_select2(mu_init,pv40),init).
% 1.17/1.32 875[2:Rew:40.0,818.1,40.0,818.0,815.0,818.0] || leq(init,init)* -> gt(init,init).
% 1.17/1.32 876[2:MRR:875.0,875.1,34.0,36.0] || -> .
% 1.17/1.32 879[2:Spt:876.0,194.1,815.0] || equal(skc1,pv40)** -> .
% 1.17/1.32 880[2:Spt:876.0,194.0] || -> gt(pv40,skc1)*r.
% 1.17/1.32 896[0:SpR:161.0,59.0] || -> equal(pred(n4),n3)**.
% 1.17/1.32 898[1:SpR:681.0,59.0] || -> equal(pred(pv40),tptp_minus_1)**.
% 1.17/1.32 903[1:Rew:898.0,429.0] || leq(skc1,tptp_minus_1)*l -> .
% 1.17/1.32 3463[2:Res:880.0,81.0] || -> leq(skc1,pred(pv40))*r.
% 1.17/1.32 3603[2:Rew:898.0,3463.0] || -> leq(skc1,tptp_minus_1)*l.
% 1.17/1.32 3604[2:MRR:3603.0,903.0] || -> .
% 1.17/1.32 3694[1:Spt:3604.0,323.2,522.0] || equal(n0,pv40)** -> .
% 1.17/1.32 3695[1:Spt:3604.0,323.0,323.1] || leq(pv40,n1)*r -> equal(n1,pv40).
% 1.17/1.32 3707[2:Spt:253.1] || -> equal(n4,pv40)**.
% 1.17/1.32 3711[2:Rew:3707.0,896.0] || -> equal(pred(pv40),n3)**.
% 1.17/1.32 3944[2:Rew:3711.0,429.0] || leq(skc1,n3)*l -> .
% 1.17/1.32 3983[3:Spt:194.1] || -> equal(skc1,pv40)**.
% 1.17/1.32 3991[3:Rew:3983.0,176.1] || leq(init,a_select2(mu_init,skc1))*r -> gt(a_select2(mu_init,pv40),init).
% 1.17/1.32 4051[3:Rew:40.0,3991.1] || leq(init,a_select2(mu_init,skc1))*r -> gt(init,init).
% 1.17/1.32 4052[3:Rew:3983.0,4051.0] || leq(init,a_select2(mu_init,pv40))*r -> gt(init,init).
% 1.17/1.32 4053[3:Rew:40.0,4052.0] || leq(init,init)* -> gt(init,init).
% 1.17/1.32 4054[3:MRR:4053.0,4053.1,34.0,36.0] || -> .
% 1.17/1.32 4057[3:Spt:4054.0,194.1,3983.0] || equal(skc1,pv40)** -> .
% 1.17/1.32 4058[3:Spt:4054.0,194.0] || -> gt(pv40,skc1)*r.
% 1.17/1.32 4059[3:Res:4058.0,81.0] || -> leq(skc1,pred(pv40))*r.
% 1.17/1.32 4067[3:Rew:3711.0,4059.0] || -> leq(skc1,n3)*l.
% 1.17/1.32 4068[3:MRR:4067.0,3944.0] || -> .
% 1.17/1.32 4069[2:Spt:4068.0,253.1,3707.0] || equal(n4,pv40)** -> .
% 1.17/1.32 4070[2:Spt:4068.0,253.0] || -> gt(n4,pv40)*l.
% 1.17/1.32 4081[3:Spt:194.1] || -> equal(skc1,pv40)**.
% 1.17/1.32 4088[3:Rew:4081.0,176.1] || leq(init,a_select2(mu_init,skc1))*r -> gt(a_select2(mu_init,pv40),init).
% 1.17/1.32 4148[3:Rew:40.0,4088.1] || leq(init,a_select2(mu_init,skc1))*r -> gt(init,init).
% 1.17/1.32 4149[3:Rew:4081.0,4148.0] || leq(init,a_select2(mu_init,pv40))*r -> gt(init,init).
% 1.17/1.32 4150[3:Rew:40.0,4149.0] || leq(init,init)* -> gt(init,init).
% 1.17/1.32 4151[3:MRR:4150.0,4150.1,34.0,36.0] || -> .
% 1.17/1.32 4154[3:Spt:4151.0,194.1,4081.0] || equal(skc1,pv40)** -> .
% 1.17/1.32 4155[3:Spt:4151.0,194.0] || -> gt(pv40,skc1)*r.
% 1.17/1.32 4156[3:Res:4155.0,81.0] || -> leq(skc1,pred(pv40))*r.
% 1.17/1.32 4164[3:MRR:4156.0,429.0] || -> .
% 1.17/1.32 % SZS output end Refutation
% 1.17/1.32 Formulae used in the proof : cl5_nebula_init_0011 reflexivity_leq successor_1 irreflexivity_gt succ_tptp_minus_1 successor_2 pred_succ successor_3 successor_4 leq_gt_pred leq_gt2 finite_domain_1
% 1.17/1.32
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