TSTP Solution File: NUN068+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUN068+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 : Mon Jul 18 16:38:44 EDT 2022
% Result : Theorem 11.04s 11.22s
% Output : Refutation 11.04s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUN068+1 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.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 : Thu Jun 2 04:35:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 11.04/11.22
% 11.04/11.22 SPASS V 3.9
% 11.04/11.22 SPASS beiseite: Proof found.
% 11.04/11.22 % SZS status Theorem
% 11.04/11.22 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.04/11.22 SPASS derived 14032 clauses, backtracked 0 clauses, performed 0 splits and kept 6657 clauses.
% 11.04/11.22 SPASS allocated 107322 KBytes.
% 11.04/11.22 SPASS spent 0:0:10.80 on the problem.
% 11.04/11.22 0:00:00.04 for the input.
% 11.04/11.22 0:00:00.04 for the FLOTTER CNF translation.
% 11.04/11.22 0:00:00.14 for inferences.
% 11.04/11.22 0:00:00.00 for the backtracking.
% 11.04/11.22 0:0:10.48 for the reduction.
% 11.04/11.22
% 11.04/11.22
% 11.04/11.22 Here is a proof with depth 6, length 50 :
% 11.04/11.22 % SZS output start Refutation
% 11.04/11.22 1[0:Inp] || -> r1(skf24(u))*.
% 11.04/11.22 6[0:Inp] || -> id__dfg(u,skf22(u))*r.
% 11.04/11.22 8[0:Inp] || -> id__dfg(u,skf43(u))*r.
% 11.04/11.22 9[0:Inp] || -> r2(skf24(u),skf23(u))*.
% 11.04/11.22 11[0:Inp] || -> r2(u,skf34(v,u))*.
% 11.04/11.22 14[0:Inp] SkP9(u) || -> r1(skf22(u))*.
% 11.04/11.22 15[0:Inp] || -> SkP9(u) id__dfg(u,skf23(u))*r.
% 11.04/11.22 16[0:Inp] r1(u) || -> SkP0(skc2,u)*.
% 11.04/11.22 17[0:Inp] || SkP0(u,v)* -> r1(v).
% 11.04/11.22 22[0:Inp] || -> SkP8(u) id__dfg(u,skf41(u))*r.
% 11.04/11.22 23[0:Inp] SkP8(u) || -> r1(skf43(u))*.
% 11.04/11.22 24[0:Inp] || id__dfg(u,skc2) -> SkP0(skc2,u)*.
% 11.04/11.22 25[0:Inp] || SkP0(u,v)* -> id__dfg(v,u).
% 11.04/11.22 26[0:Inp] || id__dfg(u,v)* -> id__dfg(v,u).
% 11.04/11.22 28[0:Inp] r1(u) || SkP4(u,v)* -> .
% 11.04/11.22 40[0:Inp] || id__dfg(u,v) -> r1(u) SkP4(v,u)*.
% 11.04/11.22 45[0:Inp] || r2(u,v) SkP5(w,x,v,u)* -> .
% 11.04/11.22 47[0:Inp] || id__dfg(u,v)* id__dfg(v,w)* -> id__dfg(u,w)*.
% 11.04/11.22 48[0:Inp] r1(u) || r2(v,w)* id__dfg(u,w)*+ -> .
% 11.04/11.22 57[0:Inp] || r2(u,v)* r2(w,x)* id__dfg(x,v)*+ -> id__dfg(w,u)*.
% 11.04/11.22 59[0:Inp] || id__dfg(u,v) id__dfg(w,x) -> r2(x,v) SkP5(v,x,u,w)*.
% 11.04/11.22 66[0:Res:1.0,28.0] || SkP4(skf24(u),v)* -> .
% 11.04/11.22 68[0:Res:9.0,45.0] || SkP5(u,v,skf23(w),skf24(w))* -> .
% 11.04/11.22 71[0:Res:9.0,48.2] r1(u) || id__dfg(u,skf23(v))* -> .
% 11.04/11.22 82[0:Res:6.0,48.1] r1(u) || r2(v,skf22(u))* -> .
% 11.04/11.22 89[0:Res:6.0,59.1] || id__dfg(u,v) -> r2(v,skf22(w)) SkP5(skf22(w),v,w,u)*.
% 11.04/11.22 113[0:Res:6.0,89.0] || -> r2(skf22(u),skf22(v)) SkP5(skf22(v),skf22(u),v,u)*.
% 11.04/11.22 163[0:Res:24.1,17.0] || id__dfg(u,skc2) -> r1(u)*.
% 11.04/11.22 182[0:Res:16.1,25.0] r1(u) || -> id__dfg(u,skc2)*.
% 11.04/11.22 191[0:OCh:47.1,47.0,182.1,8.0] r1(skf43(u)) || -> id__dfg(u,skc2)*.
% 11.04/11.22 202[0:SoR:191.0,23.1] SkP8(u) || -> id__dfg(u,skc2)*.
% 11.04/11.22 261[0:Res:113.1,45.1] || r2(u,v) -> r2(skf22(u),skf22(v))*.
% 11.04/11.22 262[0:Res:113.1,68.0] || -> r2(skf22(skf24(u)),skf22(skf23(u)))*.
% 11.04/11.22 264[0:Res:262.0,82.1] r1(skf23(u)) || -> .
% 11.04/11.22 267[0:SoR:264.0,163.1] || id__dfg(skf23(u),skc2)*l -> .
% 11.04/11.22 271[0:Res:261.1,82.1] r1(u) || r2(v,u)* -> .
% 11.04/11.22 278[0:Res:261.1,271.1] r1(skf22(u)) || r2(v,u)* -> .
% 11.04/11.22 296[0:Res:40.2,66.0] || id__dfg(u,skf24(v))*+ -> r1(u)*.
% 11.04/11.22 320[0:SoR:278.0,14.1] SkP9(u) || r2(v,u)* -> .
% 11.04/11.22 337[0:Res:202.1,267.0] SkP8(skf23(u)) || -> .
% 11.04/11.22 411[0:NCh:47.2,47.1,26.0,6.0] || id__dfg(u,v)*+ -> id__dfg(skf22(v),u)*.
% 11.04/11.22 468[0:Res:15.1,57.2] || r2(u,skf23(v))* r2(w,v)* -> SkP9(v) id__dfg(w,u)*.
% 11.04/11.22 498[0:MRR:468.2,320.0] || r2(u,skf23(v))*+ r2(w,v)* -> id__dfg(w,u)*.
% 11.04/11.22 1724[0:Res:9.0,498.0] || r2(u,v)* -> id__dfg(u,skf24(v)).
% 11.04/11.22 1974[0:Res:22.1,411.0] || -> SkP8(u) id__dfg(skf22(skf41(u)),u)*l.
% 11.04/11.22 11615[0:Res:1974.1,71.1] r1(skf22(skf41(skf23(u)))) || -> SkP8(skf23(u))*.
% 11.04/11.22 11687[0:MRR:11615.1,337.0] r1(skf22(skf41(skf23(u)))) || -> .
% 11.04/11.22 11735[0:SoR:11687.0,296.1] || id__dfg(skf22(skf41(skf23(u))),skf24(v))* -> .
% 11.04/11.22 14952[0:Res:11.0,1724.0] || -> id__dfg(u,skf24(skf34(v,u)))*r.
% 11.04/11.22 14958[0:UnC:14952.0,11735.0] || -> .
% 11.04/11.22 % SZS output end Refutation
% 11.04/11.22 Formulae used in the proof : nonzerosnononesexistid axiom_5 axiom_6 axiom_5a axiom_1a axiom_6a axiom_2a axiom_1 axiom_8 axiom_9 axiom_7 axiom_7a axiom_3a
% 11.04/11.22
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