TSTP Solution File: SWV194+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV194+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 21:41:35 EDT 2022
% Result : Theorem 1.09s 1.25s
% Output : Refutation 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV194+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 16:55:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.09/1.25
% 1.09/1.25 SPASS V 3.9
% 1.09/1.25 SPASS beiseite: Proof found.
% 1.09/1.25 % SZS status Theorem
% 1.09/1.25 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.09/1.25 SPASS derived 3509 clauses, backtracked 509 clauses, performed 3 splits and kept 2240 clauses.
% 1.09/1.25 SPASS allocated 88814 KBytes.
% 1.09/1.25 SPASS spent 0:00:00.88 on the problem.
% 1.09/1.25 0:00:00.04 for the input.
% 1.09/1.25 0:00:00.08 for the FLOTTER CNF translation.
% 1.09/1.25 0:00:00.02 for inferences.
% 1.09/1.25 0:00:00.01 for the backtracking.
% 1.09/1.25 0:00:00.63 for the reduction.
% 1.09/1.25
% 1.09/1.25
% 1.09/1.25 Here is a proof with depth 3, length 60 :
% 1.09/1.25 % SZS output start Refutation
% 1.09/1.25 2[0:Inp] || -> leq(n0,skc3)*r.
% 1.09/1.25 3[0:Inp] || -> leq(skc3,n2)*l.
% 1.09/1.25 4[0:Inp] || -> leq(n0,pv5)*r.
% 1.09/1.25 5[0:Inp] || -> leq(pv5,n0)*l.
% 1.09/1.25 7[0:Inp] || -> gt(pv5,n0)*l.
% 1.09/1.25 8[0:Inp] || -> leq(skc2,pv5)*l.
% 1.09/1.25 9[0:Inp] || -> leq(n0,skc2)*r.
% 1.09/1.25 39[0:Inp] || -> equal(succ(n0),n1)**.
% 1.09/1.25 40[0:Inp] || gt(u,u)* -> .
% 1.09/1.25 68[0:Inp] || -> equal(succ(succ(n0)),n2)**.
% 1.09/1.25 85[0:Inp] || -> equal(pred(succ(u)),u)**.
% 1.09/1.25 93[0:Inp] || -> equal(plus(u,n1),succ(u))**.
% 1.09/1.25 97[0:Inp] || equal(a_select3(u_defuse,skc3,skc2),use)** -> .
% 1.09/1.25 104[0:Inp] || -> equal(succ(succ(u)),plus(u,n2))**.
% 1.09/1.25 105[0:Inp] || -> equal(succ(succ(u)),plus(n2,u))**.
% 1.09/1.25 110[0:Inp] || gt(u,v)*+ -> leq(v,pred(u))*.
% 1.09/1.25 132[0:Inp] || leq(u,v)* -> gt(v,u) equal(u,v).
% 1.09/1.25 136[0:Inp] || leq(u,n0)* leq(n0,u)* -> equal(u,n0).
% 1.09/1.25 138[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*.
% 1.09/1.25 142[0:Inp] || leq(u,n1)* leq(n0,u) -> equal(u,n1) equal(u,n0).
% 1.09/1.25 153[0:Inp] || leq(u,n2) leq(v,pred(pv5)) leq(n0,v) leq(n0,u) -> equal(a_select3(u_defuse,u,v),use)**.
% 1.09/1.25 179[0:Rew:39.0,68.0] || -> equal(succ(n1),n2)**.
% 1.09/1.25 183[0:Rew:105.0,104.0] || -> equal(plus(n2,u),plus(u,n2))*.
% 1.09/1.25 192[0:Res:153.4,97.0] || leq(n0,skc3) leq(skc3,n2) leq(skc2,pred(pv5))*r leq(n0,skc2) -> .
% 1.09/1.25 221[0:Res:9.0,142.0] || leq(skc2,n1)*l -> equal(skc2,n1) equal(skc2,n0).
% 1.09/1.25 222[0:Res:9.0,136.0] || leq(skc2,n0)*l -> equal(skc2,n0).
% 1.09/1.25 334[0:Res:8.0,132.0] || -> gt(pv5,skc2)*r equal(skc2,pv5).
% 1.09/1.25 381[0:MRR:192.0,192.1,192.3,2.0,3.0,9.0] || leq(skc2,pred(pv5))*r -> .
% 1.09/1.25 436[1:Spt:221.1] || -> equal(skc2,n1)**.
% 1.09/1.25 448[1:Rew:436.0,222.1] || leq(skc2,n0)*l -> equal(n1,n0).
% 1.09/1.25 532[1:Rew:436.0,8.0] || -> leq(n1,pv5)*r.
% 1.09/1.25 535[1:Rew:436.0,381.0] || leq(n1,pred(pv5))*r -> .
% 1.09/1.25 566[1:Rew:436.0,448.0] || leq(n1,n0)*l -> equal(n1,n0).
% 1.09/1.25 723[0:SpR:105.0,85.0] || -> equal(pred(plus(n2,u)),succ(u))**.
% 1.09/1.25 747[0:SpR:183.0,723.0] || -> equal(pred(plus(u,n2)),succ(u))**.
% 1.09/1.25 794[1:OCh:138.1,138.0,532.0,5.0] || -> leq(n1,n0)*l.
% 1.09/1.25 795[1:MRR:566.0,794.0] || -> equal(n1,n0)**.
% 1.09/1.25 799[1:Rew:795.0,39.0] || -> equal(succ(n0),n0)**.
% 1.09/1.25 800[1:Rew:795.0,179.0] || -> equal(succ(n0),n2)**.
% 1.09/1.25 810[1:Rew:795.0,93.0] || -> equal(plus(u,n0),succ(u))**.
% 1.09/1.25 858[1:Rew:795.0,535.0] || leq(n0,pred(pv5))*r -> .
% 1.09/1.25 941[1:Rew:799.0,800.0] || -> equal(n2,n0)**.
% 1.09/1.25 949[1:Rew:941.0,747.0] || -> equal(pred(plus(u,n0)),succ(u))**.
% 1.09/1.25 1023[1:Rew:810.0,949.0] || -> equal(pred(succ(u)),succ(u))**.
% 1.09/1.25 1024[1:Rew:85.0,1023.0] || -> equal(succ(u),u)**.
% 1.09/1.25 1025[1:Rew:1024.0,85.0] || -> equal(pred(u),u)**.
% 1.09/1.25 1092[1:Rew:1025.0,858.0] || leq(n0,pv5)*r -> .
% 1.09/1.25 1093[1:MRR:1092.0,4.0] || -> .
% 1.09/1.25 1177[1:Spt:1093.0,221.1,436.0] || equal(skc2,n1)** -> .
% 1.09/1.25 1178[1:Spt:1093.0,221.0,221.2] || leq(skc2,n1)*l -> equal(skc2,n0).
% 1.09/1.25 1183[2:Spt:334.1] || -> equal(skc2,pv5)**.
% 1.09/1.25 1210[2:Rew:1183.0,222.1] || leq(skc2,n0)*l -> equal(pv5,n0).
% 1.09/1.25 1313[2:Rew:1183.0,1210.0] || leq(pv5,n0)*l -> equal(pv5,n0).
% 1.09/1.25 1314[2:MRR:1313.0,5.0] || -> equal(pv5,n0)**.
% 1.09/1.25 1315[2:Rew:1314.0,7.0] || -> gt(n0,n0)*.
% 1.09/1.25 1333[2:MRR:1315.0,40.0] || -> .
% 1.09/1.25 1446[2:Spt:1333.0,334.1,1183.0] || equal(skc2,pv5)** -> .
% 1.09/1.25 1447[2:Spt:1333.0,334.0] || -> gt(pv5,skc2)*r.
% 1.09/1.25 5298[2:Res:1447.0,110.0] || -> leq(skc2,pred(pv5))*r.
% 1.09/1.25 5307[2:MRR:5298.0,381.0] || -> .
% 1.09/1.25 % SZS output end Refutation
% 1.09/1.25 Formulae used in the proof : quaternion_ds1_inuse_0005 successor_1 irreflexivity_gt successor_2 pred_succ succ_plus_1_r succ_plus_2_r succ_plus_2_l leq_gt_pred leq_gt2 finite_domain_0 transitivity_leq finite_domain_1
% 1.09/1.25
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