TSTP Solution File: SWV196+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV196+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 1.08s 1.27s
% Output : Refutation 1.08s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV196+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 11:50:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.08/1.27
% 1.08/1.27 SPASS V 3.9
% 1.08/1.27 SPASS beiseite: Proof found.
% 1.08/1.27 % SZS status Theorem
% 1.08/1.27 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.27 SPASS derived 3406 clauses, backtracked 517 clauses, performed 5 splits and kept 2189 clauses.
% 1.08/1.27 SPASS allocated 88783 KBytes.
% 1.08/1.27 SPASS spent 0:00:00.89 on the problem.
% 1.08/1.27 0:00:00.04 for the input.
% 1.08/1.27 0:00:00.08 for the FLOTTER CNF translation.
% 1.08/1.27 0:00:00.02 for inferences.
% 1.08/1.27 0:00:00.02 for the backtracking.
% 1.08/1.27 0:00:00.64 for the reduction.
% 1.08/1.27
% 1.08/1.27
% 1.08/1.27 Here is a proof with depth 3, length 64 :
% 1.08/1.27 % SZS output start Refutation
% 1.08/1.27 2[0:Inp] || -> leq(n0,skc3)*r.
% 1.08/1.27 3[0:Inp] || -> leq(skc3,n2)*l.
% 1.08/1.27 4[0:Inp] || -> leq(n0,pv5)*r.
% 1.08/1.27 5[0:Inp] || -> leq(pv5,n0)*l.
% 1.08/1.27 7[0:Inp] || -> gt(pv5,n0)*l.
% 1.08/1.27 8[0:Inp] || -> leq(skc2,pv5)*l.
% 1.08/1.27 9[0:Inp] || -> leq(n0,skc2)*r.
% 1.08/1.27 39[0:Inp] || -> equal(succ(n0),n1)**.
% 1.08/1.27 68[0:Inp] || -> equal(succ(succ(n0)),n2)**.
% 1.08/1.27 85[0:Inp] || -> equal(pred(succ(u)),u)**.
% 1.08/1.27 93[0:Inp] || -> equal(plus(u,n1),succ(u))**.
% 1.08/1.27 97[0:Inp] || equal(a_select3(z_defuse,skc3,skc2),use)** -> .
% 1.08/1.27 104[0:Inp] || -> equal(succ(succ(u)),plus(u,n2))**.
% 1.08/1.27 105[0:Inp] || -> equal(succ(succ(u)),plus(n2,u))**.
% 1.08/1.27 113[0:Inp] || gt(u,v)*+ -> leq(v,pred(u))*.
% 1.08/1.27 135[0:Inp] || leq(u,v)* -> gt(v,u) equal(u,v).
% 1.08/1.27 139[0:Inp] || leq(u,n0)* leq(n0,u)* -> equal(u,n0).
% 1.08/1.27 141[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*.
% 1.08/1.27 145[0:Inp] || leq(u,n1)* leq(n0,u) -> equal(u,n1) equal(u,n0).
% 1.08/1.27 155[0:Inp] || leq(u,n2) leq(v,pred(pv5)) leq(n0,v) leq(n0,u) -> equal(a_select3(z_defuse,u,v),use)**.
% 1.08/1.27 182[0:Rew:39.0,68.0] || -> equal(succ(n1),n2)**.
% 1.08/1.27 186[0:Rew:105.0,104.0] || -> equal(plus(n2,u),plus(u,n2))*.
% 1.08/1.27 195[0:Res:155.4,97.0] || leq(n0,skc3) leq(skc3,n2) leq(skc2,pred(pv5))*r leq(n0,skc2) -> .
% 1.08/1.27 224[0:Res:9.0,145.0] || leq(skc2,n1)*l -> equal(skc2,n1) equal(skc2,n0).
% 1.08/1.27 225[0:Res:9.0,139.0] || leq(skc2,n0)*l -> equal(skc2,n0).
% 1.08/1.27 257[0:Res:9.0,135.0] || -> gt(skc2,n0)*l equal(skc2,n0).
% 1.08/1.27 337[0:Res:8.0,135.0] || -> gt(pv5,skc2)*r equal(skc2,pv5).
% 1.08/1.27 384[0:MRR:195.0,195.1,195.3,2.0,3.0,9.0] || leq(skc2,pred(pv5))*r -> .
% 1.08/1.27 439[1:Spt:224.1] || -> equal(skc2,n1)**.
% 1.08/1.27 455[1:Rew:439.0,225.1] || leq(skc2,n0)*l -> equal(n1,n0).
% 1.08/1.27 539[1:Rew:439.0,8.0] || -> leq(n1,pv5)*r.
% 1.08/1.27 542[1:Rew:439.0,384.0] || leq(n1,pred(pv5))*r -> .
% 1.08/1.27 572[1:Rew:439.0,455.0] || leq(n1,n0)*l -> equal(n1,n0).
% 1.08/1.27 729[0:SpR:105.0,85.0] || -> equal(pred(plus(n2,u)),succ(u))**.
% 1.08/1.27 753[0:SpR:186.0,729.0] || -> equal(pred(plus(u,n2)),succ(u))**.
% 1.08/1.27 802[1:OCh:141.1,141.0,539.0,5.0] || -> leq(n1,n0)*l.
% 1.08/1.27 803[1:MRR:572.0,802.0] || -> equal(n1,n0)**.
% 1.08/1.27 807[1:Rew:803.0,39.0] || -> equal(succ(n0),n0)**.
% 1.08/1.27 808[1:Rew:803.0,182.0] || -> equal(succ(n0),n2)**.
% 1.08/1.27 818[1:Rew:803.0,93.0] || -> equal(plus(u,n0),succ(u))**.
% 1.08/1.27 867[1:Rew:803.0,542.0] || leq(n0,pred(pv5))*r -> .
% 1.08/1.27 950[1:Rew:807.0,808.0] || -> equal(n2,n0)**.
% 1.08/1.27 958[1:Rew:950.0,753.0] || -> equal(pred(plus(u,n0)),succ(u))**.
% 1.08/1.27 1032[1:Rew:818.0,958.0] || -> equal(pred(succ(u)),succ(u))**.
% 1.08/1.27 1033[1:Rew:85.0,1032.0] || -> equal(succ(u),u)**.
% 1.08/1.27 1034[1:Rew:1033.0,85.0] || -> equal(pred(u),u)**.
% 1.08/1.27 1101[1:Rew:1034.0,867.0] || leq(n0,pv5)*r -> .
% 1.08/1.27 1102[1:MRR:1101.0,4.0] || -> .
% 1.08/1.27 1186[1:Spt:1102.0,224.1,439.0] || equal(skc2,n1)** -> .
% 1.08/1.27 1187[1:Spt:1102.0,224.0,224.2] || leq(skc2,n1)*l -> equal(skc2,n0).
% 1.08/1.27 1192[2:Spt:257.1] || -> equal(skc2,n0)**.
% 1.08/1.27 1216[2:Rew:1192.0,384.0] || leq(n0,pred(pv5))*r -> .
% 1.08/1.27 4673[0:Res:7.0,113.0] || -> leq(n0,pred(pv5))*r.
% 1.08/1.27 4827[2:MRR:4673.0,1216.0] || -> .
% 1.08/1.27 4935[2:Spt:4827.0,257.1,1192.0] || equal(skc2,n0)** -> .
% 1.08/1.27 4936[2:Spt:4827.0,257.0] || -> gt(skc2,n0)*l.
% 1.08/1.27 4938[2:MRR:225.1,4935.0] || leq(skc2,n0)*l -> .
% 1.08/1.27 4951[3:Spt:337.1] || -> equal(skc2,pv5)**.
% 1.08/1.27 4978[3:Rew:4951.0,4938.0] || leq(pv5,n0)*l -> .
% 1.08/1.27 5093[3:MRR:4978.0,5.0] || -> .
% 1.08/1.27 5166[3:Spt:5093.0,337.1,4951.0] || equal(skc2,pv5)** -> .
% 1.08/1.27 5167[3:Spt:5093.0,337.0] || -> gt(pv5,skc2)*r.
% 1.08/1.27 5168[3:Res:5167.0,113.0] || -> leq(skc2,pred(pv5))*r.
% 1.08/1.27 5176[3:MRR:5168.0,384.0] || -> .
% 1.08/1.27 % SZS output end Refutation
% 1.08/1.27 Formulae used in the proof : quaternion_ds1_inuse_0007 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
% 1.08/1.27
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