TSTP Solution File: LCL674+1.005 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL674+1.005 : 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 14:38:59 EDT 2022
% Result : Theorem 0.53s 0.72s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL674+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % 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 : Sat Jul 2 14:13:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.53/0.72
% 0.53/0.72 SPASS V 3.9
% 0.53/0.72 SPASS beiseite: Proof found.
% 0.53/0.72 % SZS status Theorem
% 0.53/0.72 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.72 SPASS derived 457 clauses, backtracked 0 clauses, performed 0 splits and kept 417 clauses.
% 0.53/0.72 SPASS allocated 98407 KBytes.
% 0.53/0.72 SPASS spent 0:00:00.37 on the problem.
% 0.53/0.72 0:00:00.04 for the input.
% 0.53/0.72 0:00:00.04 for the FLOTTER CNF translation.
% 0.53/0.72 0:00:00.01 for inferences.
% 0.53/0.72 0:00:00.00 for the backtracking.
% 0.53/0.72 0:00:00.24 for the reduction.
% 0.53/0.72
% 0.53/0.72
% 0.53/0.72 Here is a proof with depth 4, length 23 :
% 0.53/0.72 % SZS output start Refutation
% 0.53/0.72 1[0:Inp] || -> p100(skc1)*.
% 0.53/0.72 2[0:Inp] || p101(skc1)* -> .
% 0.53/0.72 3[0:Inp] || -> r1(u,u)*.
% 0.53/0.72 5[0:Inp] || -> r1(u,skf18(u))*r.
% 0.53/0.72 7[0:Inp] || -> r1(u,skf16(u))*r.
% 0.53/0.72 14[0:Inp] || r1(skc1,u) -> p3(u)*.
% 0.53/0.72 19[0:Inp] p102(u) || r1(skc1,u) -> p101(u)*.
% 0.53/0.72 21[0:Inp] || r1(u,v)* r1(v,w)* -> r1(u,w)*.
% 0.53/0.72 34[0:Inp] p100(u) || r1(skc1,u) -> p101(u) p101(skf18(u))*.
% 0.53/0.72 46[0:Inp] p101(u) || p3(skf16(u))* r1(skc1,u) -> p102(u).
% 0.53/0.72 50[0:Inp] p100(u) || p102(skf18(u))* r1(skc1,u) -> p101(u).
% 0.53/0.72 128[0:Res:19.2,2.0] p102(skc1) || r1(skc1,skc1)* -> .
% 0.53/0.72 129[0:MRR:128.1,3.0] p102(skc1) || -> .
% 0.53/0.72 138[0:Res:14.1,46.1] p101(u) || r1(skc1,skf16(u))*r r1(skc1,u) -> p102(u).
% 0.53/0.72 723[0:Res:7.0,138.1] p101(skc1) || r1(skc1,skc1) -> p102(skc1)*.
% 0.53/0.72 724[0:NCh:21.2,21.1,138.1,7.0] p101(u) || r1(skc1,u) r1(skc1,u) -> p102(u)*.
% 0.53/0.72 725[0:MRR:723.1,723.2,3.0,129.0] p101(skc1) || -> .
% 0.53/0.72 726[0:Obv:724.1] p101(u) || r1(skc1,u) -> p102(u)*.
% 0.53/0.72 740[0:Res:726.2,50.1] p101(skf18(u)) p100(u) || r1(skc1,skf18(u))*r r1(skc1,u) -> p101(u).
% 0.53/0.72 741[0:MRR:740.0,34.3] p100(u) || r1(skc1,skf18(u))*r r1(skc1,u) -> p101(u).
% 0.53/0.72 743[0:Res:5.0,741.1] p100(skc1) || r1(skc1,skc1) -> p101(skc1)*.
% 0.53/0.72 745[0:SSi:743.0,1.0] || r1(skc1,skc1) -> p101(skc1)*.
% 0.53/0.72 746[0:MRR:745.0,745.1,3.0,725.0] || -> .
% 0.53/0.72 % SZS output end Refutation
% 0.53/0.72 Formulae used in the proof : main reflexivity transitivity
% 0.53/0.72
%------------------------------------------------------------------------------