TSTP Solution File: LCL894+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL894+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 144.59s 144.80s
% Output : Refutation 144.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL894+1 : TPTP v8.1.0. Released v5.5.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 4 09:05:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 144.59/144.80
% 144.59/144.80 SPASS V 3.9
% 144.59/144.80 SPASS beiseite: Proof found.
% 144.59/144.80 % SZS status Theorem
% 144.59/144.80 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.59/144.80 SPASS derived 56814 clauses, backtracked 4 clauses, performed 1 splits and kept 18627 clauses.
% 144.59/144.80 SPASS allocated 142431 KBytes.
% 144.59/144.80 SPASS spent 0:2:23.60 on the problem.
% 144.59/144.80 0:00:00.04 for the input.
% 144.59/144.80 0:00:00.03 for the FLOTTER CNF translation.
% 144.59/144.80 0:00:00.53 for inferences.
% 144.59/144.80 0:00:06.83 for the backtracking.
% 144.59/144.80 0:2:15.98 for the reduction.
% 144.59/144.80
% 144.59/144.80
% 144.59/144.80 Here is a proof with depth 6, length 43 :
% 144.59/144.80 % SZS output start Refutation
% 144.59/144.80 1[0:Inp] || -> a62__a61_(u,u)*.
% 144.59/144.80 2[0:Inp] || -> a62__a61_(u,0)*.
% 144.59/144.80 3[0:Inp] || -> equal(a43_(u,0),u)**.
% 144.59/144.80 4[0:Inp] || -> equal(a43_(u,v),a43_(v,u))*.
% 144.59/144.80 5[0:Inp] || -> a62__a61_(c,a) a62__a61_(c,a43_(a,a61__a61__a62_(a,b)))*r.
% 144.59/144.80 6[0:Inp] || -> a62__a61_(c,b) a62__a61_(c,a43_(a,a61__a61__a62_(a,b)))*r.
% 144.59/144.80 8[0:Inp] || a62__a61_(u,v)* a62__a61_(v,w)* -> a62__a61_(u,w)*.
% 144.59/144.80 9[0:Inp] || a62__a61_(u,v)*+ a62__a61_(v,u)* -> equal(v,u).
% 144.59/144.80 10[0:Inp] || a62__a61_(a43_(u,v),w)*+ -> a62__a61_(v,a61__a61__a62_(u,w))*.
% 144.59/144.80 11[0:Inp] || a62__a61_(u,a61__a61__a62_(v,w))*+ -> a62__a61_(a43_(v,u),w)*.
% 144.59/144.80 12[0:Inp] || a62__a61_(u,v) -> a62__a61_(a43_(u,w),a43_(v,w))*.
% 144.59/144.80 14[0:Inp] || a62__a61_(u,v) -> a62__a61_(a61__a61__a62_(w,u),a61__a61__a62_(w,v))*.
% 144.59/144.80 15[0:Inp] || -> equal(a43_(u,a61__a61__a62_(u,v)),a43_(v,a61__a61__a62_(v,u)))*.
% 144.59/144.80 16[0:Inp] || a62__a61_(c,b) a62__a61_(c,a) a62__a61_(c,a43_(a,a61__a61__a62_(a,b)))*r -> .
% 144.59/144.80 17[1:Spt:5.1] || -> a62__a61_(c,a43_(a,a61__a61__a62_(a,b)))*r.
% 144.59/144.80 18[1:MRR:16.2,17.0] || a62__a61_(c,b)*r a62__a61_(c,a) -> .
% 144.59/144.80 20[0:SpR:4.0,3.0] || -> equal(a43_(0,u),u)**.
% 144.59/144.80 432[0:Res:2.0,9.0] || a62__a61_(0,u)* -> equal(0,u).
% 144.59/144.80 2379[0:SpR:4.0,12.1] || a62__a61_(u,v) -> a62__a61_(a43_(u,w),a43_(w,v))*.
% 144.59/144.80 2380[0:SpR:20.0,12.1] || a62__a61_(u,0) -> a62__a61_(a43_(u,v),v)*l.
% 144.59/144.80 2448[0:MRR:2380.0,2.0] || -> a62__a61_(a43_(u,v),v)*l.
% 144.59/144.80 2454[0:SpR:4.0,2448.0] || -> a62__a61_(a43_(u,v),u)*l.
% 144.59/144.80 2590[0:Res:1.0,11.0] || -> a62__a61_(a43_(u,a61__a61__a62_(u,v)),v)*l.
% 144.59/144.80 2591[0:Res:14.1,11.0] || a62__a61_(u,v)*+ -> a62__a61_(a43_(w,a61__a61__a62_(w,u)),v)*.
% 144.59/144.80 2650[1:OCh:8.1,8.0,2454.0,17.0] || -> a62__a61_(c,a)*r.
% 144.59/144.80 2656[1:MRR:18.1,2650.0] || a62__a61_(c,b)*r -> .
% 144.59/144.80 2697[0:Res:2448.0,10.0] || -> a62__a61_(u,a61__a61__a62_(v,u))*r.
% 144.59/144.80 2959[1:OCh:8.1,8.0,2590.0,17.0] || -> a62__a61_(c,b)*r.
% 144.59/144.80 2967[1:MRR:2959.0,2656.0] || -> .
% 144.59/144.80 2969[1:Spt:2967.0,5.1,17.0] || a62__a61_(c,a43_(a,a61__a61__a62_(a,b)))*r -> .
% 144.59/144.80 2970[1:Spt:2967.0,5.0] || -> a62__a61_(c,a)*r.
% 144.59/144.80 2971[1:MRR:6.1,2969.0] || -> a62__a61_(c,b)*r.
% 144.59/144.80 6330[1:NCh:8.2,8.1,2379.1,2969.0] || a62__a61_(u,a61__a61__a62_(a,b))*+ equal(a43_(u,a),c)** -> .
% 144.59/144.80 6934[1:Res:2970.0,2591.0] || -> a62__a61_(a43_(u,a61__a61__a62_(u,c)),a)*l.
% 144.59/144.80 6935[1:Res:2971.0,2591.0] || -> a62__a61_(a43_(u,a61__a61__a62_(u,c)),b)*l.
% 144.59/144.80 7000[1:SpR:15.0,6934.0] || -> a62__a61_(a43_(c,a61__a61__a62_(c,u)),a)*l.
% 144.59/144.80 7076[1:Res:7000.0,10.0] || -> a62__a61_(a61__a61__a62_(c,u),a61__a61__a62_(c,a))*.
% 144.59/144.80 7372[1:OCh:8.1,8.0,7076.0,2697.0] || -> a62__a61_(u,a61__a61__a62_(c,a))*.
% 144.59/144.80 7423[1:Res:7372.0,432.0] || -> equal(a61__a61__a62_(c,a),0)**.
% 144.59/144.80 8667[1:Res:6935.0,10.0] || -> a62__a61_(a61__a61__a62_(u,c),a61__a61__a62_(u,b))*r.
% 144.59/144.80 79688[1:Res:8667.0,6330.0] || equal(a43_(a61__a61__a62_(a,c),a),c)** -> .
% 144.59/144.80 79831[1:Rew:20.0,79688.0,4.0,79688.0,7423.0,79688.0,15.0,79688.0,4.0,79688.0] || equal(c,c)* -> .
% 144.59/144.80 79832[1:Obv:79831.0] || -> .
% 144.59/144.80 % SZS output end Refutation
% 144.59/144.80 Formulae used in the proof : sos_04 sos_08 sos_03 sos_02 goals_13 sos_05 sos_06 sos_07 sos_09 sos_11 sos_12
% 144.59/144.80
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