TSTP Solution File: LCL902+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL902+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 14:40:51 EDT 2022
% Result : Theorem 2.44s 2.69s
% Output : Refutation 2.44s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL902+1 : TPTP v8.1.0. Released v5.5.0.
% 0.10/0.11 % Command : run_spass %d %s
% 0.10/0.32 % Computer : n006.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Sat Jul 2 15:11:07 EDT 2022
% 0.10/0.32 % CPUTime :
% 2.44/2.69
% 2.44/2.69 SPASS V 3.9
% 2.44/2.69 SPASS beiseite: Proof found.
% 2.44/2.69 % SZS status Theorem
% 2.44/2.69 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.44/2.69 SPASS derived 5886 clauses, backtracked 0 clauses, performed 0 splits and kept 1340 clauses.
% 2.44/2.69 SPASS allocated 90599 KBytes.
% 2.44/2.69 SPASS spent 0:00:02.34 on the problem.
% 2.44/2.69 0:00:00.04 for the input.
% 2.44/2.69 0:00:00.03 for the FLOTTER CNF translation.
% 2.44/2.69 0:00:00.05 for inferences.
% 2.44/2.69 0:00:00.00 for the backtracking.
% 2.44/2.69 0:00:02.20 for the reduction.
% 2.44/2.69
% 2.44/2.69
% 2.44/2.69 Here is a proof with depth 6, length 35 :
% 2.44/2.69 % SZS output start Refutation
% 2.44/2.69 1[0:Inp] || -> a62__a61_(u,u)*.
% 2.44/2.69 2[0:Inp] || -> a62__a61_(u,0)*.
% 2.44/2.69 3[0:Inp] || -> equal(a43_(u,0),u)**.
% 2.44/2.69 4[0:Inp] || -> equal(a43_(u,1),1)**.
% 2.44/2.69 5[0:Inp] || -> equal(a43_(u,v),a43_(v,u))*.
% 2.44/2.69 6[0:Inp] || equal(a61__a61__a62_(a61__a61__a62_(skc1,1),1),skc1)** -> .
% 2.44/2.69 7[0:Inp] || -> equal(a61__a61__a62_(a61__a61__a62_(a61__a61__a62_(u,1),u),u),0)**.
% 2.44/2.69 9[0:Inp] || a62__a61_(u,v)* a62__a61_(v,w)* -> a62__a61_(u,w)*.
% 2.44/2.69 10[0:Inp] || a62__a61_(u,v)*+ a62__a61_(v,u)* -> equal(v,u).
% 2.44/2.69 11[0:Inp] || a62__a61_(a43_(u,v),w)*+ -> a62__a61_(v,a61__a61__a62_(u,w))*.
% 2.44/2.69 12[0:Inp] || a62__a61_(u,a61__a61__a62_(v,w))*+ -> a62__a61_(a43_(v,u),w)*.
% 2.44/2.69 13[0:Inp] || a62__a61_(u,v) -> a62__a61_(a43_(u,w),a43_(v,w))*.
% 2.44/2.69 15[0:Inp] || a62__a61_(u,v) -> a62__a61_(a61__a61__a62_(w,u),a61__a61__a62_(w,v))*.
% 2.44/2.69 17[0:Res:10.2,6.0] || a62__a61_(skc1,a61__a61__a62_(a61__a61__a62_(skc1,1),1)) a62__a61_(a61__a61__a62_(a61__a61__a62_(skc1,1),1),skc1)*l -> .
% 2.44/2.69 20[0:SpR:5.0,4.0] || -> equal(a43_(1,u),1)**.
% 2.44/2.69 21[0:SpR:5.0,3.0] || -> equal(a43_(0,u),u)**.
% 2.44/2.69 3768[0:SpR:21.0,13.1] || a62__a61_(u,0) -> a62__a61_(a43_(u,v),v)*l.
% 2.44/2.69 3841[0:MRR:3768.0,2.0] || -> a62__a61_(a43_(u,v),v)*l.
% 2.44/2.69 3852[0:SpR:20.0,3841.0] || -> a62__a61_(1,u)*.
% 2.44/2.69 3883[0:Res:3852.0,10.0] || a62__a61_(u,1)* -> equal(u,1).
% 2.44/2.69 3898[0:SpL:7.0,12.0] || a62__a61_(u,0) -> a62__a61_(a43_(a61__a61__a62_(a61__a61__a62_(v,1),v),u),v)*l.
% 2.44/2.69 3900[0:Res:1.0,12.0] || -> a62__a61_(a43_(u,a61__a61__a62_(u,v)),v)*l.
% 2.44/2.69 3922[0:MRR:3898.0,2.0] || -> a62__a61_(a43_(a61__a61__a62_(a61__a61__a62_(u,1),u),v),u)*l.
% 2.44/2.69 4187[0:Res:1.0,11.0] || -> a62__a61_(u,a61__a61__a62_(v,a43_(v,u)))*r.
% 2.44/2.69 4189[0:Res:3841.0,11.0] || -> a62__a61_(u,a61__a61__a62_(v,u))*r.
% 2.44/2.69 4594[0:Res:3900.0,3883.0] || -> equal(a43_(u,a61__a61__a62_(u,1)),1)**.
% 2.44/2.69 5042[0:SpR:5.0,4187.0] || -> a62__a61_(u,a61__a61__a62_(v,a43_(u,v)))*r.
% 2.44/2.69 5175[0:SpR:3.0,3922.0] || -> a62__a61_(a61__a61__a62_(a61__a61__a62_(u,1),u),u)*l.
% 2.44/2.69 8157[0:Res:5175.0,10.0] || a62__a61_(u,a61__a61__a62_(a61__a61__a62_(u,1),u))*r -> equal(a61__a61__a62_(a61__a61__a62_(u,1),u),u).
% 2.44/2.69 8182[0:MRR:8157.0,4189.0] || -> equal(a61__a61__a62_(a61__a61__a62_(u,1),u),u)**.
% 2.44/2.69 8584[0:SpR:4594.0,5042.0] || -> a62__a61_(u,a61__a61__a62_(a61__a61__a62_(u,1),1))*r.
% 2.44/2.69 8658[0:MRR:17.0,8584.0] || a62__a61_(a61__a61__a62_(a61__a61__a62_(skc1,1),1),skc1)*l -> .
% 2.44/2.69 8890[0:NCh:9.2,9.0,8658.0,15.1] || equal(a61__a61__a62_(a61__a61__a62_(skc1,1),u),skc1)** a62__a61_(1,u) -> .
% 2.44/2.69 8894[0:MRR:8890.1,3852.0] || equal(a61__a61__a62_(a61__a61__a62_(skc1,1),u),skc1)** -> .
% 2.44/2.69 8895[0:UnC:8894.0,8182.0] || -> .
% 2.44/2.69 % SZS output end Refutation
% 2.44/2.69 Formulae used in the proof : sos_04 sos_08 sos_03 sos_12 sos_02 goals_14 sos_13 sos_05 sos_06 sos_07 sos_09 sos_11
% 2.44/2.69
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