TSTP Solution File: LCL893+1 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 14:40:48 EDT 2022
% Result : Theorem 0.35s 0.54s
% Output : Refutation 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL893+1 : TPTP v8.1.0. Released v5.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n007.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 : Sun Jul 3 02:19:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/0.54
% 0.35/0.54 SPASS V 3.9
% 0.35/0.54 SPASS beiseite: Proof found.
% 0.35/0.54 % SZS status Theorem
% 0.35/0.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.54 SPASS derived 912 clauses, backtracked 0 clauses, performed 0 splits and kept 315 clauses.
% 0.35/0.54 SPASS allocated 85905 KBytes.
% 0.35/0.54 SPASS spent 0:00:00.18 on the problem.
% 0.35/0.54 0:00:00.04 for the input.
% 0.35/0.54 0:00:00.03 for the FLOTTER CNF translation.
% 0.35/0.54 0:00:00.01 for inferences.
% 0.35/0.54 0:00:00.00 for the backtracking.
% 0.35/0.54 0:00:00.08 for the reduction.
% 0.35/0.54
% 0.35/0.54
% 0.35/0.54 Here is a proof with depth 5, length 19 :
% 0.35/0.54 % SZS output start Refutation
% 0.35/0.54 2[0:Inp] || -> a62__a61_(u,0)*.
% 0.35/0.54 3[0:Inp] || -> equal(h(skc1),skc1)**.
% 0.35/0.54 4[0:Inp] || equal(skc1,0)** -> .
% 0.35/0.54 5[0:Inp] || -> equal(a43_(u,0),u)**.
% 0.35/0.54 7[0:Inp] || -> equal(a43_(u,v),a43_(v,u))*.
% 0.35/0.54 8[0:Inp] || -> equal(a61__a61__a62_(h(u),u),h(u))**.
% 0.35/0.54 11[0:Inp] || a62__a61_(u,v)*+ a62__a61_(v,u)* -> equal(v,u).
% 0.35/0.54 12[0:Inp] || a62__a61_(a43_(u,v),w)*+ -> a62__a61_(v,a61__a61__a62_(u,w))*.
% 0.35/0.54 14[0:Inp] || a62__a61_(u,v) -> a62__a61_(a43_(u,w),a43_(v,w))*.
% 0.35/0.54 18[0:Res:11.2,4.0] || a62__a61_(skc1,0)*l a62__a61_(0,skc1) -> .
% 0.35/0.54 20[0:MRR:18.0,2.0] || a62__a61_(0,skc1)*r -> .
% 0.35/0.54 25[0:SpR:3.0,8.0] || -> equal(a61__a61__a62_(skc1,skc1),skc1)**.
% 0.35/0.54 28[0:SpR:7.0,5.0] || -> equal(a43_(0,u),u)**.
% 0.35/0.54 309[0:SpR:28.0,14.1] || a62__a61_(u,0) -> a62__a61_(a43_(u,v),v)*l.
% 0.35/0.54 354[0:MRR:309.0,2.0] || -> a62__a61_(a43_(u,v),v)*l.
% 0.35/0.54 359[0:SpR:7.0,354.0] || -> a62__a61_(a43_(u,v),u)*l.
% 0.35/0.54 585[0:Res:359.0,12.0] || -> a62__a61_(u,a61__a61__a62_(v,v))*.
% 0.35/0.54 1109[0:SpR:25.0,585.0] || -> a62__a61_(u,skc1)*.
% 0.35/0.54 1141[0:UnC:1109.0,20.0] || -> .
% 0.35/0.54 % SZS output end Refutation
% 0.35/0.54 Formulae used in the proof : sos_09 goals_15 sos_03 sos_02 sos_14 sos_07 sos_08 sos_10
% 0.35/0.54
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