TSTP Solution File: SWV134+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV134+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 1.28s 1.46s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV134+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n024.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 : Thu Jun 16 01:29:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.28/1.46
% 1.28/1.46 SPASS V 3.9
% 1.28/1.46 SPASS beiseite: Proof found.
% 1.28/1.46 % SZS status Theorem
% 1.28/1.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.28/1.46 SPASS derived 4994 clauses, backtracked 969 clauses, performed 8 splits and kept 3013 clauses.
% 1.28/1.46 SPASS allocated 89327 KBytes.
% 1.28/1.46 SPASS spent 0:00:01.09 on the problem.
% 1.28/1.46 0:00:00.04 for the input.
% 1.28/1.46 0:00:00.07 for the FLOTTER CNF translation.
% 1.28/1.46 0:00:00.03 for inferences.
% 1.28/1.46 0:00:00.03 for the backtracking.
% 1.28/1.46 0:00:00.84 for the reduction.
% 1.28/1.46
% 1.28/1.46
% 1.28/1.46 Here is a proof with depth 2, length 8 :
% 1.28/1.46 % SZS output start Refutation
% 1.28/1.46 5[0:Inp] || -> leq(n2,pv1325)*l.
% 1.28/1.46 20[0:Inp] || -> gt(n2,n0)*l.
% 1.28/1.46 32[0:Inp] || leq(n0,pv1325)*l -> .
% 1.28/1.46 71[0:Inp] || gt(u,v)* -> leq(v,u).
% 1.28/1.46 107[0:Inp] || leq(u,v)* leq(v,w)* -> leq(u,w)*.
% 1.28/1.46 6779[0:Res:20.0,71.0] || -> leq(n0,n2)*r.
% 1.28/1.46 7315[0:OCh:107.1,107.0,6779.0,5.0] || -> leq(n0,pv1325)*l.
% 1.28/1.46 7320[0:MRR:7315.0,32.0] || -> .
% 1.28/1.46 % SZS output end Refutation
% 1.28/1.46 Formulae used in the proof : gauss_array_0004 gt_2_0 leq_gt1 transitivity_leq
% 1.28/1.46
%------------------------------------------------------------------------------