TSTP Solution File: SWV092+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV092+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 21:41:15 EDT 2022
% Result : Theorem 0.97s 1.14s
% Output : Refutation 0.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV092+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 21:03:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.97/1.14
% 0.97/1.14 SPASS V 3.9
% 0.97/1.14 SPASS beiseite: Proof found.
% 0.97/1.14 % SZS status Theorem
% 0.97/1.14 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.97/1.14 SPASS derived 2745 clauses, backtracked 244 clauses, performed 4 splits and kept 1451 clauses.
% 0.97/1.14 SPASS allocated 88407 KBytes.
% 0.97/1.14 SPASS spent 0:00:00.78 on the problem.
% 0.97/1.14 0:00:00.04 for the input.
% 0.97/1.14 0:00:00.09 for the FLOTTER CNF translation.
% 0.97/1.14 0:00:00.02 for inferences.
% 0.97/1.14 0:00:00.01 for the backtracking.
% 0.97/1.14 0:00:00.49 for the reduction.
% 0.97/1.14
% 0.97/1.14
% 0.97/1.14 Here is a proof with depth 3, length 70 :
% 0.97/1.14 % SZS output start Refutation
% 0.97/1.14 25[0:Inp] || -> equal(succ(n0),n1)**.
% 0.97/1.14 26[0:Inp] || gt(u,u)* -> .
% 0.97/1.14 27[0:Inp] || -> gt(succ(u),u)*l.
% 0.97/1.14 28[0:Inp] || -> equal(succ(tptp_minus_1),n0)**.
% 0.97/1.14 30[0:Inp] || -> leq(skc2,minus(n0,n1))*r.
% 0.97/1.14 31[0:Inp] || -> equal(a_select2(rho_defuse,n0),use)**.
% 0.97/1.14 32[0:Inp] || -> equal(a_select2(rho_defuse,n1),use)**.
% 0.97/1.14 33[0:Inp] || -> equal(a_select2(rho_defuse,n2),use)**.
% 0.97/1.14 34[0:Inp] || -> equal(a_select2(sigma_defuse,n0),use)**.
% 0.97/1.14 35[0:Inp] || -> equal(a_select2(sigma_defuse,n1),use)**.
% 0.97/1.14 36[0:Inp] || -> equal(a_select2(sigma_defuse,n2),use)**.
% 0.97/1.14 37[0:Inp] || -> equal(a_select2(sigma_defuse,n3),use)**.
% 0.97/1.14 38[0:Inp] || -> equal(a_select2(sigma_defuse,n4),use)**.
% 0.97/1.14 39[0:Inp] || -> equal(a_select2(sigma_defuse,n5),use)**.
% 0.97/1.14 40[0:Inp] || -> equal(a_select2(xinit_defuse,n3),use)**.
% 0.97/1.14 41[0:Inp] || -> equal(a_select2(xinit_defuse,n4),use)**.
% 0.97/1.14 42[0:Inp] || -> equal(a_select2(xinit_defuse,n5),use)**.
% 0.97/1.14 43[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n0),use)**.
% 0.97/1.14 44[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n1),use)**.
% 0.97/1.14 45[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n2),use)**.
% 0.97/1.14 46[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n3),use)**.
% 0.97/1.14 47[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n4),use)**.
% 0.97/1.14 48[0:Inp] || -> equal(a_select2(xinit_mean_defuse,n5),use)**.
% 0.97/1.14 49[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n0),use)**.
% 0.97/1.14 50[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n1),use)**.
% 0.97/1.14 51[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n2),use)**.
% 0.97/1.14 52[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n3),use)**.
% 0.97/1.14 53[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n4),use)**.
% 0.97/1.14 54[0:Inp] || -> equal(a_select2(xinit_noise_defuse,n5),use)**.
% 0.97/1.14 72[0:Inp] || -> equal(pred(succ(u)),u)**.
% 0.97/1.14 73[0:Inp] || -> equal(succ(pred(u)),u)**.
% 0.97/1.14 74[0:Inp] || -> equal(a_select3(u_defuse,n0,n0),use)**.
% 0.97/1.14 75[0:Inp] || -> equal(a_select3(u_defuse,n1,n0),use)**.
% 0.97/1.14 76[0:Inp] || -> equal(a_select3(u_defuse,n2,n0),use)**.
% 0.97/1.14 82[0:Inp] || -> equal(minus(u,n1),pred(u))**.
% 0.97/1.14 98[0:Inp] || leq(u,v)*+ -> gt(succ(v),u)*.
% 0.97/1.14 118[0:Inp] || leq(u,v)* -> gt(v,u) equal(u,v).
% 0.97/1.14 123[0:Inp] || gt(u,v)* gt(v,w)* -> gt(u,w)*.
% 0.97/1.14 128[0:Inp] || leq(u,n1)* leq(n0,u) -> equal(u,n1) equal(u,n0).
% 0.97/1.14 163[0:Inp] || equal(a_select2(rho_defuse,n0),use) equal(a_select2(rho_defuse,n1),use) equal(a_select2(rho_defuse,n2),use) equal(a_select2(sigma_defuse,n0),use) equal(a_select2(sigma_defuse,n1),use) equal(a_select2(sigma_defuse,n2),use) equal(a_select2(sigma_defuse,n3),use) equal(a_select2(sigma_defuse,n4),use) equal(a_select2(sigma_defuse,n5),use) equal(a_select3(u_defuse,n0,n0),use) equal(a_select3(u_defuse,n1,n0),use) equal(a_select3(u_defuse,n2,n0),use)** equal(a_select2(xinit_defuse,n3),use) equal(a_select2(xinit_defuse,n4),use) equal(a_select2(xinit_defuse,n5),use) equal(a_select2(xinit_mean_defuse,n0),use) equal(a_select2(xinit_mean_defuse,n1),use) equal(a_select2(xinit_mean_defuse,n2),use) equal(a_select2(xinit_mean_defuse,n3),use) equal(a_select2(xinit_mean_defuse,n4),use) equal(a_select2(xinit_mean_defuse,n5),use) equal(a_select2(xinit_noise_defuse,n0),use) equal(a_select2(xinit_noise_defuse,n1),use) equal(a_select2(xinit_noise_defuse,n2),use) equal(a_select2(xinit_noise_defuse,n3),use) equal(a_select2(xinit_noise_defuse,n4),use) equal(a_select2(xinit_noise_defuse,n5),use) -> leq(n0,skc2).
% 0.97/1.14 179[0:Rew:82.0,30.0] || -> leq(skc2,pred(n0))*r.
% 0.97/1.14 180[0:Rew:54.0,163.26,53.0,163.25,52.0,163.24,51.0,163.23,50.0,163.22,49.0,163.21,48.0,163.20,47.0,163.19,46.0,163.18,45.0,163.17,44.0,163.16,43.0,163.15,42.0,163.14,41.0,163.13,40.0,163.12,76.0,163.11,75.0,163.10,74.0,163.9,39.0,163.8,38.0,163.7,37.0,163.6,36.0,163.5,35.0,163.4,34.0,163.3,33.0,163.2,32.0,163.1,31.0,163.0] || equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* equal(use,use)* -> leq(n0,skc2).
% 0.97/1.14 181[0:Obv:180.26] || -> leq(n0,skc2)*r.
% 0.97/1.14 317[0:Res:181.0,128.0] || leq(skc2,n1)*l -> equal(skc2,n1) equal(skc2,n0).
% 0.97/1.14 350[0:Res:181.0,118.0] || -> gt(skc2,n0)*l equal(skc2,n0).
% 0.97/1.14 474[1:Spt:317.1] || -> equal(skc2,n1)**.
% 0.97/1.14 539[1:Rew:474.0,179.0] || -> leq(n1,pred(n0))*r.
% 0.97/1.14 792[0:SpR:28.0,72.0] || -> equal(pred(n0),tptp_minus_1)**.
% 0.97/1.14 793[0:SpR:25.0,72.0] || -> equal(pred(n1),n0)**.
% 0.97/1.14 799[1:Rew:792.0,539.0] || -> leq(n1,tptp_minus_1)*r.
% 0.97/1.14 1106[0:SpR:73.0,27.0] || -> gt(u,pred(u))*r.
% 0.97/1.14 1498[0:NCh:123.2,123.1,1106.0,26.0] || gt(pred(u),u)*l -> .
% 0.97/1.14 2012[0:SpL:793.0,1498.0] || gt(n0,n1)*r -> .
% 0.97/1.14 3574[1:Res:799.0,98.0] || -> gt(succ(tptp_minus_1),n1)*l.
% 0.97/1.14 3676[1:Rew:28.0,3574.0] || -> gt(n0,n1)*r.
% 0.97/1.14 3677[1:MRR:3676.0,2012.0] || -> .
% 0.97/1.14 3698[1:Spt:3677.0,317.1,474.0] || equal(skc2,n1)** -> .
% 0.97/1.14 3699[1:Spt:3677.0,317.0,317.2] || leq(skc2,n1)*l -> equal(skc2,n0).
% 0.97/1.14 3700[0:Rew:792.0,179.0] || -> leq(skc2,tptp_minus_1)*l.
% 0.97/1.14 3850[2:Spt:350.1] || -> equal(skc2,n0)**.
% 0.97/1.14 3854[2:Rew:3850.0,3700.0] || -> leq(n0,tptp_minus_1)*r.
% 0.97/1.14 3995[2:Res:3854.0,98.0] || -> gt(succ(tptp_minus_1),n0)*l.
% 0.97/1.14 3998[2:Rew:28.0,3995.0] || -> gt(n0,n0)*.
% 0.97/1.14 3999[2:MRR:3998.0,26.0] || -> .
% 0.97/1.14 4002[2:Spt:3999.0,350.1,3850.0] || equal(skc2,n0)** -> .
% 0.97/1.14 4003[2:Spt:3999.0,350.0] || -> gt(skc2,n0)*l.
% 0.97/1.14 4017[0:Res:3700.0,98.0] || -> gt(succ(tptp_minus_1),skc2)*l.
% 0.97/1.14 4020[0:Rew:28.0,4017.0] || -> gt(n0,skc2)*r.
% 0.97/1.14 4352[0:NCh:123.2,123.1,4020.0,26.0] || gt(skc2,n0)*l -> .
% 0.97/1.14 4361[2:MRR:4352.0,4003.0] || -> .
% 0.97/1.14 % SZS output end Refutation
% 0.97/1.14 Formulae used in the proof : successor_1 irreflexivity_gt gt_succ succ_tptp_minus_1 quaternion_ds1_inuse_0004 reflexivity_leq leq_succ_succ pred_succ succ_pred pred_minus_1 leq_succ_gt_equiv leq_gt2 transitivity_gt finite_domain_1
% 0.97/1.14
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