TSTP Solution File: LCL899+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL899+1 : TPTP v8.1.0. Released v5.5.0.
% 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 14:40:50 EDT 2022
% Result : Theorem 2.05s 2.22s
% Output : Refutation 2.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL899+1 : TPTP v8.1.0. Released v5.5.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 3 17:15:41 EDT 2022
% 0.14/0.36 % CPUTime :
% 2.05/2.22
% 2.05/2.22 SPASS V 3.9
% 2.05/2.22 SPASS beiseite: Proof found.
% 2.05/2.22 % SZS status Theorem
% 2.05/2.22 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.05/2.22 SPASS derived 3551 clauses, backtracked 0 clauses, performed 0 splits and kept 636 clauses.
% 2.05/2.22 SPASS allocated 88433 KBytes.
% 2.05/2.22 SPASS spent 0:00:01.83 on the problem.
% 2.05/2.22 0:00:00.04 for the input.
% 2.05/2.22 0:00:00.03 for the FLOTTER CNF translation.
% 2.05/2.22 0:00:00.04 for inferences.
% 2.05/2.22 0:00:00.00 for the backtracking.
% 2.05/2.22 0:00:01.71 for the reduction.
% 2.05/2.22
% 2.05/2.22
% 2.05/2.22 Here is a proof with depth 3, length 28 :
% 2.05/2.22 % SZS output start Refutation
% 2.05/2.22 1[0:Inp] || -> a62__a61_(u,u)*.
% 2.05/2.22 2[0:Inp] || -> a62__a61_(u,0)*.
% 2.05/2.22 3[0:Inp] || -> equal(a43_(u,0),u)**.
% 2.05/2.22 4[0:Inp] || -> equal(a43_(u,1),1)**.
% 2.05/2.22 5[0:Inp] || -> equal(a43_(u,v),a43_(v,u))*.
% 2.05/2.22 6[0:Inp] || equal(a61__a61__a62_(a61__a61__a62_(skc1,1),1),skc1)** -> .
% 2.05/2.22 9[0:Inp] || a62__a61_(u,v)*+ a62__a61_(v,u)* -> equal(v,u).
% 2.05/2.22 10[0:Inp] || a62__a61_(a43_(u,v),w)*+ -> a62__a61_(v,a61__a61__a62_(u,w))*.
% 2.05/2.22 11[0:Inp] || a62__a61_(u,a61__a61__a62_(v,w))*+ -> a62__a61_(a43_(v,u),w)*.
% 2.05/2.22 12[0:Inp] || a62__a61_(u,v) -> a62__a61_(a43_(u,w),a43_(v,w))*.
% 2.05/2.22 15[0:Inp] || -> equal(a61__a61__a62_(a61__a61__a62_(u,v),v),a61__a61__a62_(a61__a61__a62_(v,u),u))*.
% 2.05/2.22 16[0:Rew:15.0,6.0] || equal(a61__a61__a62_(a61__a61__a62_(1,skc1),skc1),skc1)** -> .
% 2.05/2.22 18[0:Res:9.2,16.0] || a62__a61_(skc1,a61__a61__a62_(a61__a61__a62_(1,skc1),skc1)) a62__a61_(a61__a61__a62_(a61__a61__a62_(1,skc1),skc1),skc1)*l -> .
% 2.05/2.22 21[0:SpR:5.0,4.0] || -> equal(a43_(1,u),1)**.
% 2.05/2.22 22[0:SpR:5.0,3.0] || -> equal(a43_(0,u),u)**.
% 2.05/2.22 394[0:Res:2.0,9.0] || a62__a61_(0,u)* -> equal(0,u).
% 2.05/2.22 4200[0:SpR:22.0,12.1] || a62__a61_(u,0) -> a62__a61_(a43_(u,v),v)*l.
% 2.05/2.22 4277[0:MRR:4200.0,2.0] || -> a62__a61_(a43_(u,v),v)*l.
% 2.05/2.22 4288[0:SpR:21.0,4277.0] || -> a62__a61_(1,u)*.
% 2.05/2.22 4338[0:Res:1.0,11.0] || -> a62__a61_(a43_(u,a61__a61__a62_(u,v)),v)*l.
% 2.05/2.22 4609[0:SpL:21.0,10.0] || a62__a61_(1,u) -> a62__a61_(v,a61__a61__a62_(1,u))*.
% 2.05/2.22 4641[0:Res:4277.0,10.0] || -> a62__a61_(u,a61__a61__a62_(v,u))*r.
% 2.05/2.22 4659[0:MRR:18.0,4641.0] || a62__a61_(a61__a61__a62_(a61__a61__a62_(1,skc1),skc1),skc1)*l -> .
% 2.05/2.22 4660[0:MRR:4609.0,4288.0] || -> a62__a61_(u,a61__a61__a62_(1,v))*.
% 2.05/2.22 4930[0:SpR:22.0,4338.0] || -> a62__a61_(a61__a61__a62_(0,u),u)*l.
% 2.05/2.22 5483[0:Res:4660.0,394.0] || -> equal(a61__a61__a62_(1,u),0)**.
% 2.05/2.22 5513[0:Rew:5483.0,4659.0] || a62__a61_(a61__a61__a62_(0,skc1),skc1)*l -> .
% 2.05/2.22 5524[0:MRR:5513.0,4930.0] || -> .
% 2.05/2.22 % SZS output end Refutation
% 2.05/2.22 Formulae used in the proof : sos_04 sos_08 sos_03 sos_12 sos_02 goals_14 sos_06 sos_07 sos_09 sos_13
% 2.05/2.22
%------------------------------------------------------------------------------