TSTP Solution File: SWV199+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV199+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 21:41:36 EDT 2022
% Result : Theorem 1.59s 1.80s
% Output : Refutation 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV199+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 16:30:49 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.59/1.80
% 1.59/1.80 SPASS V 3.9
% 1.59/1.80 SPASS beiseite: Proof found.
% 1.59/1.80 % SZS status Theorem
% 1.59/1.80 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.59/1.80 SPASS derived 4751 clauses, backtracked 599 clauses, performed 5 splits and kept 2967 clauses.
% 1.59/1.80 SPASS allocated 89629 KBytes.
% 1.59/1.80 SPASS spent 0:00:01.40 on the problem.
% 1.59/1.80 0:00:00.04 for the input.
% 1.59/1.80 0:00:00.08 for the FLOTTER CNF translation.
% 1.59/1.80 0:00:00.03 for inferences.
% 1.59/1.80 0:00:00.02 for the backtracking.
% 1.59/1.80 0:00:01.11 for the reduction.
% 1.59/1.80
% 1.59/1.80
% 1.59/1.80 Here is a proof with depth 5, length 92 :
% 1.59/1.80 % SZS output start Refutation
% 1.59/1.80 2[0:Inp] || -> leq(n0,skc3)*r.
% 1.59/1.80 3[0:Inp] || -> leq(skc3,n2)*l.
% 1.59/1.80 4[0:Inp] || -> leq(n0,pv5)*r.
% 1.59/1.80 5[0:Inp] || -> leq(pv5,n0)*l.
% 1.59/1.80 7[0:Inp] || -> leq(skc2,pv5)*l.
% 1.59/1.80 8[0:Inp] || -> leq(n0,skc2)*r.
% 1.59/1.80 37[0:Inp] || -> leq(u,u)*.
% 1.59/1.80 38[0:Inp] || -> equal(succ(n0),n1)**.
% 1.59/1.80 67[0:Inp] || -> equal(succ(succ(n0)),n2)**.
% 1.59/1.80 84[0:Inp] || -> equal(pred(succ(u)),u)**.
% 1.59/1.80 92[0:Inp] || -> equal(plus(u,n1),succ(u))**.
% 1.59/1.80 96[0:Inp] || equal(a_select3(z_defuse,skc3,skc2),use)** -> .
% 1.59/1.80 103[0:Inp] || -> equal(succ(succ(u)),plus(u,n2))**.
% 1.59/1.80 104[0:Inp] || -> equal(succ(succ(u)),plus(n2,u))**.
% 1.59/1.80 107[0:Inp] || equal(skc2,pv5) equal(skc3,n0)** -> .
% 1.59/1.80 108[0:Inp] || equal(skc2,pv5) equal(skc3,n1)** -> .
% 1.59/1.80 109[0:Inp] || equal(skc2,pv5) equal(skc3,n2)** -> .
% 1.59/1.80 112[0:Inp] || gt(u,v)*+ -> leq(v,pred(u))*.
% 1.59/1.80 134[0:Inp] || leq(u,v)* -> gt(v,u) equal(u,v).
% 1.59/1.80 138[0:Inp] || leq(u,n0)*+ leq(n0,u)* -> equal(u,n0).
% 1.59/1.80 140[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*.
% 1.59/1.80 144[0:Inp] || leq(u,n1)* leq(n0,u) -> equal(u,n1) equal(u,n0).
% 1.59/1.80 154[0:Inp] || leq(u,n2) leq(v,pred(pv5)) leq(n0,v) leq(n0,u) -> equal(a_select3(z_defuse,u,v),use)**.
% 1.59/1.80 181[0:Rew:38.0,67.0] || -> equal(succ(n1),n2)**.
% 1.59/1.80 185[0:Rew:104.0,103.0] || -> equal(plus(n2,u),plus(u,n2))*.
% 1.59/1.80 194[0:Res:154.4,96.0] || leq(n0,skc3) leq(skc3,n2) leq(skc2,pred(pv5))*r leq(n0,skc2) -> .
% 1.59/1.80 223[0:Res:8.0,144.0] || leq(skc2,n1)*l -> equal(skc2,n1) equal(skc2,n0).
% 1.59/1.80 224[0:Res:8.0,138.0] || leq(skc2,n0)*l -> equal(skc2,n0).
% 1.59/1.80 256[0:Res:8.0,134.0] || -> gt(skc2,n0)*l equal(skc2,n0).
% 1.59/1.80 336[0:Res:7.0,134.0] || -> gt(pv5,skc2)*r equal(skc2,pv5).
% 1.59/1.80 383[0:MRR:194.0,194.1,194.3,2.0,3.0,8.0] || leq(skc2,pred(pv5))*r -> .
% 1.59/1.80 438[1:Spt:223.1] || -> equal(skc2,n1)**.
% 1.59/1.80 454[1:Rew:438.0,224.1] || leq(skc2,n0)*l -> equal(n1,n0).
% 1.59/1.80 538[1:Rew:438.0,7.0] || -> leq(n1,pv5)*r.
% 1.59/1.80 541[1:Rew:438.0,383.0] || leq(n1,pred(pv5))*r -> .
% 1.59/1.80 571[1:Rew:438.0,454.0] || leq(n1,n0)*l -> equal(n1,n0).
% 1.59/1.80 676[0:SpR:38.0,84.0] || -> equal(pred(n1),n0)**.
% 1.59/1.80 677[0:SpR:181.0,84.0] || -> equal(pred(n2),n1)**.
% 1.59/1.80 728[0:SpR:104.0,84.0] || -> equal(pred(plus(n2,u)),succ(u))**.
% 1.59/1.80 752[0:SpR:185.0,728.0] || -> equal(pred(plus(u,n2)),succ(u))**.
% 1.59/1.80 801[1:OCh:140.1,140.0,538.0,5.0] || -> leq(n1,n0)*l.
% 1.59/1.80 802[1:MRR:571.0,801.0] || -> equal(n1,n0)**.
% 1.59/1.80 806[1:Rew:802.0,38.0] || -> equal(succ(n0),n0)**.
% 1.59/1.80 807[1:Rew:802.0,181.0] || -> equal(succ(n0),n2)**.
% 1.59/1.80 817[1:Rew:802.0,92.0] || -> equal(plus(u,n0),succ(u))**.
% 1.59/1.80 866[1:Rew:802.0,541.0] || leq(n0,pred(pv5))*r -> .
% 1.59/1.80 949[1:Rew:806.0,807.0] || -> equal(n2,n0)**.
% 1.59/1.80 957[1:Rew:949.0,752.0] || -> equal(pred(plus(u,n0)),succ(u))**.
% 1.59/1.80 1031[1:Rew:817.0,957.0] || -> equal(pred(succ(u)),succ(u))**.
% 1.59/1.80 1032[1:Rew:84.0,1031.0] || -> equal(succ(u),u)**.
% 1.59/1.80 1033[1:Rew:1032.0,84.0] || -> equal(pred(u),u)**.
% 1.59/1.80 1100[1:Rew:1033.0,866.0] || leq(n0,pv5)*r -> .
% 1.59/1.80 1101[1:MRR:1100.0,4.0] || -> .
% 1.59/1.80 1185[1:Spt:1101.0,223.1,438.0] || equal(skc2,n1)** -> .
% 1.59/1.80 1186[1:Spt:1101.0,223.0,223.2] || leq(skc2,n1)*l -> equal(skc2,n0).
% 1.59/1.80 1191[2:Spt:256.1] || -> equal(skc2,n0)**.
% 1.59/1.80 1203[2:Rew:1191.0,336.1] || -> gt(pv5,skc2)*r equal(pv5,n0).
% 1.59/1.80 1204[2:Rew:1191.0,107.0] || equal(pv5,n0) equal(skc3,n0)** -> .
% 1.59/1.80 1205[2:Rew:1191.0,108.0] || equal(pv5,n0) equal(skc3,n1)** -> .
% 1.59/1.80 1206[2:Rew:1191.0,109.0] || equal(pv5,n0) equal(skc3,n2)** -> .
% 1.59/1.80 1215[2:Rew:1191.0,383.0] || leq(n0,pred(pv5))*r -> .
% 1.59/1.80 1320[2:Rew:1191.0,1203.0] || -> gt(pv5,n0)*l equal(pv5,n0).
% 1.59/1.80 1542[3:Spt:1204.0] || equal(pv5,n0)** -> .
% 1.59/1.80 1543[3:MRR:1320.1,1542.0] || -> gt(pv5,n0)*l.
% 1.59/1.80 4676[3:Res:1543.0,112.0] || -> leq(n0,pred(pv5))*r.
% 1.59/1.80 4830[3:MRR:4676.0,1215.0] || -> .
% 1.59/1.80 4935[3:Spt:4830.0,1204.0,1542.0] || -> equal(pv5,n0)**.
% 1.59/1.80 4936[3:Spt:4830.0,1204.1] || equal(skc3,n0)** -> .
% 1.59/1.80 5017[3:Rew:4935.0,1205.0] || equal(n0,n0) equal(skc3,n1)** -> .
% 1.59/1.80 5018[3:Obv:5017.0] || equal(skc3,n1)** -> .
% 1.59/1.80 5019[3:Rew:4935.0,1206.0] || equal(n0,n0) equal(skc3,n2)** -> .
% 1.59/1.80 5020[3:Obv:5019.0] || equal(skc3,n2)** -> .
% 1.59/1.80 6055[0:Res:3.0,134.0] || -> gt(n2,skc3)*r equal(skc3,n2).
% 1.59/1.80 6256[3:MRR:6055.1,5020.0] || -> gt(n2,skc3)*r.
% 1.59/1.80 6268[3:Res:6256.0,112.0] || -> leq(skc3,pred(n2))*r.
% 1.59/1.80 6279[3:Rew:677.0,6268.0] || -> leq(skc3,n1)*l.
% 1.59/1.80 6280[3:Res:6279.0,134.0] || -> gt(n1,skc3)*r equal(skc3,n1).
% 1.59/1.80 6292[3:MRR:6280.1,5018.0] || -> gt(n1,skc3)*r.
% 1.59/1.80 6293[3:Res:6292.0,112.0] || -> leq(skc3,pred(n1))*r.
% 1.59/1.80 6304[3:Rew:676.0,6293.0] || -> leq(skc3,n0)*l.
% 1.59/1.80 6445[3:NCh:140.2,140.0,6304.0,138.0] || leq(n0,n0) leq(n0,skc3)*r -> equal(skc3,n0).
% 1.59/1.80 6453[3:MRR:6445.0,6445.1,6445.2,37.0,2.0,4936.0] || -> .
% 1.59/1.80 6454[2:Spt:6453.0,256.1,1191.0] || equal(skc2,n0)** -> .
% 1.59/1.80 6455[2:Spt:6453.0,256.0] || -> gt(skc2,n0)*l.
% 1.59/1.80 6458[2:MRR:224.1,6454.0] || leq(skc2,n0)*l -> .
% 1.59/1.80 6481[3:Spt:336.1] || -> equal(skc2,pv5)**.
% 1.59/1.80 6508[3:Rew:6481.0,6458.0] || leq(pv5,n0)*l -> .
% 1.59/1.80 6633[3:MRR:6508.0,5.0] || -> .
% 1.59/1.80 6707[3:Spt:6633.0,336.1,6481.0] || equal(skc2,pv5)** -> .
% 1.59/1.80 6708[3:Spt:6633.0,336.0] || -> gt(pv5,skc2)*r.
% 1.59/1.80 6709[3:Res:6708.0,112.0] || -> leq(skc2,pred(pv5))*r.
% 1.59/1.80 6719[3:MRR:6709.0,383.0] || -> .
% 1.59/1.80 % SZS output end Refutation
% 1.59/1.80 Formulae used in the proof : quaternion_ds1_inuse_0010 reflexivity_leq successor_1 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
% 1.59/1.80
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