TSTP Solution File: LCL674+1.010 by SPASS---3.9
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% File : SPASS---3.9
% Problem : LCL674+1.010 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 : Sun Jul 17 14:39:00 EDT 2022
% Result : Theorem 2.32s 2.54s
% Output : Refutation 2.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL674+1.010 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.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 : Mon Jul 4 02:42:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.32/2.54
% 2.32/2.54 SPASS V 3.9
% 2.32/2.54 SPASS beiseite: Proof found.
% 2.32/2.54 % SZS status Theorem
% 2.32/2.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.32/2.54 SPASS derived 1744 clauses, backtracked 0 clauses, performed 0 splits and kept 1655 clauses.
% 2.32/2.54 SPASS allocated 100762 KBytes.
% 2.32/2.54 SPASS spent 0:00:02.16 on the problem.
% 2.32/2.54 0:00:00.04 for the input.
% 2.32/2.54 0:00:00.06 for the FLOTTER CNF translation.
% 2.32/2.54 0:00:00.03 for inferences.
% 2.32/2.54 0:00:00.00 for the backtracking.
% 2.32/2.54 0:00:01.95 for the reduction.
% 2.32/2.54
% 2.32/2.54
% 2.32/2.54 Here is a proof with depth 8, length 37 :
% 2.32/2.54 % SZS output start Refutation
% 2.32/2.54 1[0:Inp] || -> p100(skc1)*.
% 2.32/2.54 2[0:Inp] || p101(skc1)* -> .
% 2.32/2.54 3[0:Inp] || -> r1(u,u)*.
% 2.32/2.54 5[0:Inp] || -> r1(u,skf38(u))*r.
% 2.32/2.54 7[0:Inp] || -> r1(u,skf36(u))*r.
% 2.32/2.54 9[0:Inp] || -> r1(u,skf34(u))*r.
% 2.32/2.54 11[0:Inp] || -> r1(u,skf32(u))*r.
% 2.32/2.54 24[0:Inp] || r1(skc1,u) -> p5(u)*.
% 2.32/2.54 34[0:Inp] p102(u) || r1(skc1,u) -> p101(u)*.
% 2.32/2.54 36[0:Inp] || r1(u,v)* r1(v,w)* -> r1(u,w)*.
% 2.32/2.54 58[0:Inp] p102(u) || r1(skc1,u) -> p103(u) p103(skf34(u))*.
% 2.32/2.54 61[0:Inp] p101(u) || r1(skc1,u) -> p102(u) p102(skf36(u))*.
% 2.32/2.54 64[0:Inp] p100(u) || r1(skc1,u) -> p101(u) p101(skf38(u))*.
% 2.32/2.54 85[0:Inp] p103(u) || p5(skf32(u))* r1(skc1,u) -> p104(u).
% 2.32/2.54 89[0:Inp] p102(u) || p104(skf34(u))* r1(skc1,u) -> p103(u).
% 2.32/2.54 92[0:Inp] p101(u) || p103(skf36(u))* r1(skc1,u) -> p102(u).
% 2.32/2.54 95[0:Inp] p100(u) || p102(skf38(u))* r1(skc1,u) -> p101(u).
% 2.32/2.54 243[0:Res:34.2,2.0] p102(skc1) || r1(skc1,skc1)* -> .
% 2.32/2.54 244[0:MRR:243.1,3.0] p102(skc1) || -> .
% 2.32/2.54 263[0:Res:24.1,85.1] p103(u) || r1(skc1,skf32(u))*r r1(skc1,u) -> p104(u).
% 2.32/2.54 2439[0:NCh:36.2,36.1,263.1,11.0] p103(u) || r1(skc1,u) r1(skc1,u) -> p104(u)*.
% 2.32/2.54 2440[0:Obv:2439.1] p103(u) || r1(skc1,u) -> p104(u)*.
% 2.32/2.54 2463[0:Res:2440.2,89.1] p103(skf34(u)) p102(u) || r1(skc1,skf34(u))*r r1(skc1,u) -> p103(u).
% 2.32/2.54 2464[0:MRR:2463.0,58.3] p102(u) || r1(skc1,skf34(u))*r r1(skc1,u) -> p103(u).
% 2.32/2.54 2467[0:NCh:36.2,36.1,2464.1,9.0] p102(u) || r1(skc1,u) r1(skc1,u) -> p103(u)*.
% 2.32/2.54 2468[0:Obv:2467.1] p102(u) || r1(skc1,u) -> p103(u)*.
% 2.32/2.54 2531[0:Res:2468.2,92.1] p102(skf36(u)) p101(u) || r1(skc1,skf36(u))*r r1(skc1,u) -> p102(u).
% 2.32/2.54 2532[0:MRR:2531.0,61.3] p101(u) || r1(skc1,skf36(u))*r r1(skc1,u) -> p102(u).
% 2.32/2.54 2598[0:Res:7.0,2532.1] p101(skc1) || r1(skc1,skc1) -> p102(skc1)*.
% 2.32/2.54 2599[0:NCh:36.2,36.1,2532.1,7.0] p101(u) || r1(skc1,u) r1(skc1,u) -> p102(u)*.
% 2.32/2.54 2600[0:MRR:2598.1,2598.2,3.0,244.0] p101(skc1) || -> .
% 2.32/2.54 2601[0:Obv:2599.1] p101(u) || r1(skc1,u) -> p102(u)*.
% 2.32/2.54 2665[0:Res:2601.2,95.1] p101(skf38(u)) p100(u) || r1(skc1,skf38(u))*r r1(skc1,u) -> p101(u).
% 2.32/2.54 2666[0:MRR:2665.0,64.3] p100(u) || r1(skc1,skf38(u))*r r1(skc1,u) -> p101(u).
% 2.32/2.54 2728[0:Res:5.0,2666.1] p100(skc1) || r1(skc1,skc1) -> p101(skc1)*.
% 2.32/2.54 2730[0:SSi:2728.0,1.0] || r1(skc1,skc1) -> p101(skc1)*.
% 2.32/2.54 2731[0:MRR:2730.0,2730.1,3.0,2600.0] || -> .
% 2.32/2.54 % SZS output end Refutation
% 2.32/2.54 Formulae used in the proof : main reflexivity transitivity
% 2.32/2.54
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