TSTP Solution File: SWV135+1 by SPASS---3.9
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% File : SPASS---3.9
% Problem : SWV135+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 21:41:23 EDT 2022
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV135+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 17:39:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.61/0.78
% 0.61/0.78 SPASS V 3.9
% 0.61/0.78 SPASS beiseite: Proof found.
% 0.61/0.78 % SZS status Theorem
% 0.61/0.78 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.78 SPASS derived 2008 clauses, backtracked 18 clauses, performed 3 splits and kept 734 clauses.
% 0.61/0.78 SPASS allocated 87367 KBytes.
% 0.61/0.78 SPASS spent 0:00:00.41 on the problem.
% 0.61/0.78 0:00:00.04 for the input.
% 0.61/0.78 0:00:00.08 for the FLOTTER CNF translation.
% 0.61/0.78 0:00:00.02 for inferences.
% 0.61/0.78 0:00:00.01 for the backtracking.
% 0.61/0.78 0:00:00.20 for the reduction.
% 0.61/0.78
% 0.61/0.78
% 0.61/0.78 Here is a proof with depth 1, length 8 :
% 0.61/0.78 % SZS output start Refutation
% 0.61/0.78 5[0:Inp] || -> leq(n2,pv1325)*r.
% 0.61/0.78 20[0:Inp] || -> gt(n2,n0)*l.
% 0.61/0.78 32[0:Inp] || leq(n0,pv1325)*r -> .
% 0.61/0.78 69[0:Inp] || gt(u,v)* -> leq(v,u).
% 0.61/0.78 104[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*.
% 0.61/0.78 787[0:NCh:104.2,104.1,32.0,5.0] || leq(n0,n2)*r -> .
% 0.61/0.78 2956[0:Res:20.0,69.0] || -> leq(n0,n2)*r.
% 0.61/0.78 3072[0:MRR:2956.0,787.0] || -> .
% 0.61/0.78 % SZS output end Refutation
% 0.61/0.78 Formulae used in the proof : gauss_array_0005 gt_2_0 leq_gt1 transitivity_leq
% 0.61/0.78
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