TSTP Solution File: LCL672+1.001 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 14:38:56 EDT 2022
% Result : Theorem 0.91s 1.13s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL672+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n020.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 : Tue Jul 5 01:15:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.91/1.13
% 0.91/1.13 SPASS V 3.9
% 0.91/1.13 SPASS beiseite: Proof found.
% 0.91/1.13 % SZS status Theorem
% 0.91/1.13 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.13 SPASS derived 2141 clauses, backtracked 463 clauses, performed 7 splits and kept 2254 clauses.
% 0.91/1.13 SPASS allocated 100206 KBytes.
% 0.91/1.13 SPASS spent 0:00:00.76 on the problem.
% 0.91/1.13 0:00:00.03 for the input.
% 0.91/1.13 0:00:00.03 for the FLOTTER CNF translation.
% 0.91/1.13 0:00:00.05 for inferences.
% 0.91/1.13 0:00:00.01 for the backtracking.
% 0.91/1.13 0:00:00.58 for the reduction.
% 0.91/1.13
% 0.91/1.13
% 0.91/1.13 Here is a proof with depth 5, length 54 :
% 0.91/1.13 % SZS output start Refutation
% 0.91/1.13 1[0:Inp] || -> r1(skc6,skc14)*l.
% 0.91/1.13 2[0:Inp] || -> r1(skc11,skc13)*l.
% 0.91/1.13 3[0:Inp] || -> r1(skc11,skc12)*l.
% 0.91/1.13 4[0:Inp] || -> r1(skc6,skc11)*l.
% 0.91/1.13 5[0:Inp] || -> r1(skc6,skc10)*l.
% 0.91/1.13 6[0:Inp] || p2(skc10)* -> .
% 0.91/1.13 7[0:Inp] || p1(skc13)* -> .
% 0.91/1.13 8[0:Inp] || p1(skc14)* -> .
% 0.91/1.13 9[0:Inp] || -> r1(u,u)*.
% 0.91/1.13 10[0:Inp] || -> r1(u,skf9(u))*r.
% 0.91/1.13 11[0:Inp] || -> r1(u,skf7(u))*r.
% 0.91/1.13 12[0:Inp] || -> r1(u,skf6(u))*r.
% 0.91/1.13 14[0:Inp] || r1(skc12,u) -> p1(u)*.
% 0.91/1.13 15[0:Inp] || r1(u,v)* r1(v,w)* -> r1(u,w)*.
% 0.91/1.13 16[0:Inp] SkP0(u) || r1(u,v)* r1(skf9(v),w)*+ -> p1(w)*.
% 0.91/1.13 18[0:Inp] || p1(skf7(u))* r1(v,u)*+ r1(skc6,w) r1(skc6,v) r1(skc6,x) -> p1(w)* SkP0(v)* p2(x)*.
% 0.91/1.13 20[0:Inp] || p1(skf6(u))* r1(v,w)*+ r1(v,u)* r1(x,v)* r1(skc6,y) r1(skc6,x)* r1(skc6,z) -> p1(y)* p1(w)* p2(z)*.
% 0.91/1.13 34[1:Spt:20.0,20.1,20.2,20.3,20.5,20.8] || p1(skf6(u))* r1(v,w)*+ r1(v,u)* r1(x,v)* r1(skc6,x)* -> p1(w)*.
% 0.91/1.13 36[2:Spt:18.2,18.5] || r1(skc6,u) -> p1(u)*.
% 0.91/1.13 38[2:Res:36.1,8.0] || r1(skc6,skc14)*l -> .
% 0.91/1.13 39[2:MRR:38.0,1.0] || -> .
% 0.91/1.13 40[2:Spt:39.0,18.0,18.1,18.3,18.4,18.6,18.7] || p1(skf7(u))* r1(v,u)*+ r1(skc6,v) r1(skc6,w) -> SkP0(v)* p2(w)*.
% 0.91/1.13 41[3:Spt:40.3,40.5] || r1(skc6,u) -> p2(u)*.
% 0.91/1.13 42[3:Res:41.1,6.0] || r1(skc6,skc10)*l -> .
% 0.91/1.13 43[3:MRR:42.0,5.0] || -> .
% 0.91/1.13 44[3:Spt:43.0,40.0,40.1,40.2,40.4] || p1(skf7(u))* r1(v,u)*+ r1(skc6,v) -> SkP0(v)*.
% 0.91/1.13 68[3:NCh:15.2,15.0,4.0,44.1] || p1(skf7(u))* r1(skc11,u) r1(skc6,skc6) -> SkP0(skc6).
% 0.91/1.13 70[3:MRR:68.2,9.0] || p1(skf7(u))* r1(skc11,u) -> SkP0(skc6).
% 0.91/1.13 72[3:Res:3.0,44.1] || p1(skf7(skc12))* r1(skc6,skc11) -> SkP0(skc11).
% 0.91/1.13 75[3:MRR:72.1,4.0] || p1(skf7(skc12))* -> SkP0(skc11).
% 0.91/1.13 77[1:Res:2.0,34.1] || p1(skf6(u))* r1(skc11,u) r1(v,skc11)* r1(skc6,v)* -> p1(skc13).
% 0.91/1.13 83[1:MRR:77.4,7.0] || p1(skf6(u))* r1(skc11,u)+ r1(v,skc11)* r1(skc6,v)* -> .
% 0.91/1.13 112[3:Res:14.1,75.0] || r1(skc12,skf7(skc12))*r -> SkP0(skc11).
% 0.91/1.13 116[3:MRR:112.0,11.0] || -> SkP0(skc11)*.
% 0.91/1.13 120[0:Res:12.0,16.2] SkP0(u) || r1(u,v)*+ -> p1(skf6(skf9(v)))*.
% 0.91/1.13 121[0:Res:11.0,16.2] SkP0(u) || r1(u,v)*+ -> p1(skf7(skf9(v)))*.
% 0.91/1.13 186[0:Res:4.0,120.1] SkP0(skc6) || -> p1(skf6(skf9(skc11)))*.
% 0.91/1.13 223[0:Res:3.0,121.1] SkP0(skc11) || -> p1(skf7(skf9(skc12)))*.
% 0.91/1.13 235[3:SSi:223.0,116.0] || -> p1(skf7(skf9(skc12)))*.
% 0.91/1.13 492[3:Res:235.0,70.0] || r1(skc11,skf9(skc12))*r -> SkP0(skc6).
% 0.91/1.13 512[3:NCh:15.2,15.1,492.0,10.0] || r1(skc11,skc12) -> SkP0(skc6)*.
% 0.91/1.13 513[3:MRR:512.0,3.0] || -> SkP0(skc6)*.
% 0.91/1.13 521[3:MRR:186.0,513.0] || -> p1(skf6(skf9(skc11)))*.
% 0.91/1.13 1963[1:Res:10.0,83.1] || p1(skf6(skf9(skc11)))* r1(u,skc11)* r1(skc6,u)* -> .
% 0.91/1.13 1973[3:MRR:1963.0,521.0] || r1(u,skc11)*+ r1(skc6,u)* -> .
% 0.91/1.13 2682[3:NCh:15.2,15.0,1973.0,4.0] || r1(skc11,skc11) r1(skc6,skc6)* -> .
% 0.91/1.13 2687[3:MRR:2682.0,2682.1,9.0,9.0] || -> .
% 0.91/1.13 2689[1:Spt:2687.0,20.4,20.6,20.7,20.9] || r1(skc6,u)+ r1(skc6,v) -> p1(u)* p2(v)*.
% 0.91/1.13 2690[2:Spt:2689.0,2689.2] || r1(skc6,u) -> p1(u)*.
% 0.91/1.13 2691[2:Res:2690.1,8.0] || r1(skc6,skc14)*l -> .
% 0.91/1.13 2693[2:MRR:2691.0,1.0] || -> .
% 0.91/1.13 2694[2:Spt:2693.0,2689.1,2689.3] || r1(skc6,u) -> p2(u)*.
% 0.91/1.13 2695[2:Res:2694.1,6.0] || r1(skc6,skc10)*l -> .
% 0.91/1.13 2696[2:MRR:2695.0,5.0] || -> .
% 0.91/1.13 % SZS output end Refutation
% 0.91/1.13 Formulae used in the proof : main reflexivity transitivity
% 0.91/1.13
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