TSTP Solution File: LCL686+1.020 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL686+1.020 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 14:39:17 EDT 2022
% Result : Theorem 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL686+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 2 21:30:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.55/0.73
% 0.55/0.73 SPASS V 3.9
% 0.55/0.73 SPASS beiseite: Proof found.
% 0.55/0.73 % SZS status Theorem
% 0.55/0.73 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.73 SPASS derived 734 clauses, backtracked 0 clauses, performed 0 splits and kept 605 clauses.
% 0.55/0.73 SPASS allocated 98790 KBytes.
% 0.55/0.73 SPASS spent 0:00:00.37 on the problem.
% 0.55/0.73 0:00:00.04 for the input.
% 0.55/0.73 0:00:00.13 for the FLOTTER CNF translation.
% 0.55/0.73 0:00:00.01 for inferences.
% 0.55/0.73 0:00:00.00 for the backtracking.
% 0.55/0.73 0:00:00.14 for the reduction.
% 0.55/0.73
% 0.55/0.73
% 0.55/0.73 Here is a proof with depth 56, length 125 :
% 0.55/0.73 % SZS output start Refutation
% 0.55/0.73 7[0:Inp] || -> r1(u,skf119(u))*r.
% 0.55/0.73 9[0:Inp] || -> r1(u,skf60(u))*r.
% 0.55/0.73 10[0:Inp] || -> r1(skf115(u),skf116(u))*l.
% 0.55/0.73 11[0:Inp] || -> r1(skf114(u),skf115(u))*l.
% 0.55/0.73 12[0:Inp] || -> r1(skf113(u),skf114(u))*l.
% 0.55/0.73 13[0:Inp] || -> r1(skf112(u),skf113(u))*l.
% 0.55/0.73 14[0:Inp] || -> r1(skf111(u),skf112(u))*l.
% 0.55/0.73 15[0:Inp] || -> r1(skf110(u),skf111(u))*l.
% 0.55/0.73 16[0:Inp] || -> r1(skf109(u),skf110(u))*l.
% 0.55/0.73 17[0:Inp] || -> r1(skf108(u),skf109(u))*l.
% 0.55/0.73 18[0:Inp] || -> r1(skf107(u),skf108(u))*l.
% 0.55/0.73 19[0:Inp] || -> r1(skf106(u),skf107(u))*l.
% 0.55/0.73 20[0:Inp] || -> r1(skf105(u),skf106(u))*l.
% 0.55/0.73 21[0:Inp] || -> r1(skf104(u),skf105(u))*l.
% 0.55/0.73 22[0:Inp] || -> r1(skf103(u),skf104(u))*l.
% 0.55/0.73 23[0:Inp] || -> r1(skf102(u),skf103(u))*l.
% 0.55/0.73 24[0:Inp] || -> r1(skf101(u),skf102(u))*l.
% 0.55/0.73 25[0:Inp] || -> r1(skf100(u),skf101(u))*l.
% 0.55/0.73 26[0:Inp] || -> r1(skf99(u),skf100(u))*l.
% 0.55/0.73 27[0:Inp] || -> r1(skf98(u),skf99(u))*l.
% 0.55/0.73 28[0:Inp] || -> r1(skf97(u),skf98(u))*l.
% 0.55/0.73 29[0:Inp] || -> r1(skf96(u),skf97(u))*l.
% 0.55/0.73 30[0:Inp] || -> r1(skf95(u),skf96(u))*l.
% 0.55/0.73 31[0:Inp] || -> r1(skf94(u),skf95(u))*l.
% 0.55/0.73 32[0:Inp] || -> r1(skf93(u),skf94(u))*l.
% 0.55/0.73 33[0:Inp] || -> r1(skf92(u),skf93(u))*l.
% 0.55/0.73 34[0:Inp] || -> r1(skf91(u),skf92(u))*l.
% 0.55/0.73 35[0:Inp] || -> r1(skf90(u),skf91(u))*l.
% 0.55/0.73 36[0:Inp] || -> r1(skf89(u),skf90(u))*l.
% 0.55/0.73 37[0:Inp] || -> r1(skf88(u),skf89(u))*l.
% 0.55/0.73 38[0:Inp] || -> r1(skf87(u),skf88(u))*l.
% 0.55/0.73 39[0:Inp] || -> r1(skf86(u),skf87(u))*l.
% 0.55/0.73 40[0:Inp] || -> r1(skf85(u),skf86(u))*l.
% 0.55/0.73 41[0:Inp] || -> r1(skf84(u),skf85(u))*l.
% 0.55/0.73 42[0:Inp] || -> r1(skf83(u),skf84(u))*l.
% 0.55/0.73 43[0:Inp] || -> r1(skf82(u),skf83(u))*l.
% 0.55/0.73 44[0:Inp] || -> r1(skf81(u),skf82(u))*l.
% 0.55/0.73 45[0:Inp] || -> r1(skf80(u),skf81(u))*l.
% 0.55/0.73 46[0:Inp] || -> r1(skf79(u),skf80(u))*l.
% 0.55/0.73 47[0:Inp] || -> r1(skf78(u),skf79(u))*l.
% 0.55/0.73 48[0:Inp] || -> r1(skf77(u),skf78(u))*l.
% 0.55/0.73 49[0:Inp] || -> r1(skf76(u),skf77(u))*l.
% 0.55/0.73 50[0:Inp] || -> r1(skf75(u),skf76(u))*l.
% 0.55/0.73 51[0:Inp] || -> r1(skf74(u),skf75(u))*l.
% 0.55/0.73 52[0:Inp] || -> r1(skf73(u),skf74(u))*l.
% 0.55/0.73 53[0:Inp] || -> r1(skf72(u),skf73(u))*l.
% 0.55/0.73 54[0:Inp] || -> r1(skf71(u),skf72(u))*l.
% 0.55/0.73 55[0:Inp] || -> r1(skf70(u),skf71(u))*l.
% 0.55/0.73 56[0:Inp] || -> r1(skf69(u),skf70(u))*l.
% 0.55/0.73 57[0:Inp] || -> r1(skf68(u),skf69(u))*l.
% 0.55/0.73 58[0:Inp] || -> r1(skf67(u),skf68(u))*l.
% 0.55/0.73 59[0:Inp] || -> r1(skf66(u),skf67(u))*l.
% 0.55/0.73 60[0:Inp] || -> r1(skf65(u),skf66(u))*l.
% 0.55/0.73 61[0:Inp] || -> r1(skf64(u),skf65(u))*l.
% 0.55/0.73 62[0:Inp] || -> r1(skf63(u),skf64(u))*l.
% 0.55/0.73 63[0:Inp] || -> r1(skf62(u),skf63(u))*l.
% 0.55/0.73 64[0:Inp] || -> r1(skf61(u),skf62(u))*l.
% 0.55/0.73 65[0:Inp] || -> r1(skf60(u),skf61(u))*l.
% 0.55/0.73 125[0:Inp] || r1(skc7,u) -> p2(skf119(u))* p1(skf119(u)).
% 0.55/0.73 126[0:Inp] || r1(u,v)* r1(v,w)* -> r1(u,w)*.
% 0.55/0.73 184[0:Inp] || p1(skf119(u)) p2(skf119(u))* r1(skc7,u) -> .
% 0.55/0.73 185[0:Inp] p2(u) || r1(v,u)*+ r1(skc7,v)* -> p1(u)*.
% 0.55/0.73 186[0:Inp] p1(u) || r1(v,u)*+ r1(skc7,v)* -> p2(u)*.
% 0.55/0.73 535[0:OCh:126.1,126.0,65.0,9.0] || -> r1(u,skf61(u))*r.
% 0.55/0.73 536[0:OCh:126.1,126.0,64.0,535.0] || -> r1(u,skf62(u))*r.
% 0.55/0.73 537[0:OCh:126.1,126.0,63.0,536.0] || -> r1(u,skf63(u))*r.
% 0.55/0.73 538[0:OCh:126.1,126.0,537.0,62.0] || -> r1(u,skf64(u))*r.
% 0.55/0.73 539[0:OCh:126.1,126.0,61.0,538.0] || -> r1(u,skf65(u))*r.
% 0.55/0.73 540[0:OCh:126.1,126.0,60.0,539.0] || -> r1(u,skf66(u))*r.
% 0.55/0.73 541[0:OCh:126.1,126.0,59.0,540.0] || -> r1(u,skf67(u))*r.
% 0.55/0.73 542[0:OCh:126.1,126.0,58.0,541.0] || -> r1(u,skf68(u))*r.
% 0.55/0.73 543[0:OCh:126.1,126.0,542.0,57.0] || -> r1(u,skf69(u))*r.
% 0.55/0.73 544[0:OCh:126.1,126.0,56.0,543.0] || -> r1(u,skf70(u))*r.
% 0.55/0.73 545[0:OCh:126.1,126.0,55.0,544.0] || -> r1(u,skf71(u))*r.
% 0.55/0.73 546[0:OCh:126.1,126.0,54.0,545.0] || -> r1(u,skf72(u))*r.
% 0.55/0.73 547[0:OCh:126.1,126.0,53.0,546.0] || -> r1(u,skf73(u))*r.
% 0.55/0.73 548[0:OCh:126.1,126.0,547.0,52.0] || -> r1(u,skf74(u))*r.
% 0.55/0.73 549[0:OCh:126.1,126.0,51.0,548.0] || -> r1(u,skf75(u))*r.
% 0.55/0.73 550[0:OCh:126.1,126.0,50.0,549.0] || -> r1(u,skf76(u))*r.
% 0.55/0.73 551[0:OCh:126.1,126.0,49.0,550.0] || -> r1(u,skf77(u))*r.
% 0.55/0.73 552[0:OCh:126.1,126.0,48.0,551.0] || -> r1(u,skf78(u))*r.
% 0.55/0.73 553[0:OCh:126.1,126.0,552.0,47.0] || -> r1(u,skf79(u))*r.
% 0.55/0.73 554[0:OCh:126.1,126.0,46.0,553.0] || -> r1(u,skf80(u))*r.
% 0.55/0.73 555[0:OCh:126.1,126.0,45.0,554.0] || -> r1(u,skf81(u))*r.
% 0.55/0.73 556[0:OCh:126.1,126.0,44.0,555.0] || -> r1(u,skf82(u))*r.
% 0.55/0.73 557[0:OCh:126.1,126.0,43.0,556.0] || -> r1(u,skf83(u))*r.
% 0.55/0.73 558[0:OCh:126.1,126.0,557.0,42.0] || -> r1(u,skf84(u))*r.
% 0.55/0.73 559[0:OCh:126.1,126.0,41.0,558.0] || -> r1(u,skf85(u))*r.
% 0.55/0.73 560[0:OCh:126.1,126.0,40.0,559.0] || -> r1(u,skf86(u))*r.
% 0.55/0.73 561[0:OCh:126.1,126.0,39.0,560.0] || -> r1(u,skf87(u))*r.
% 0.55/0.73 562[0:OCh:126.1,126.0,38.0,561.0] || -> r1(u,skf88(u))*r.
% 0.55/0.73 563[0:OCh:126.1,126.0,562.0,37.0] || -> r1(u,skf89(u))*r.
% 0.55/0.73 564[0:OCh:126.1,126.0,36.0,563.0] || -> r1(u,skf90(u))*r.
% 0.55/0.73 565[0:OCh:126.1,126.0,35.0,564.0] || -> r1(u,skf91(u))*r.
% 0.55/0.73 566[0:OCh:126.1,126.0,34.0,565.0] || -> r1(u,skf92(u))*r.
% 0.55/0.73 567[0:OCh:126.1,126.0,33.0,566.0] || -> r1(u,skf93(u))*r.
% 0.55/0.73 568[0:OCh:126.1,126.0,567.0,32.0] || -> r1(u,skf94(u))*r.
% 0.55/0.73 569[0:OCh:126.1,126.0,31.0,568.0] || -> r1(u,skf95(u))*r.
% 0.55/0.73 570[0:OCh:126.1,126.0,30.0,569.0] || -> r1(u,skf96(u))*r.
% 0.55/0.73 571[0:OCh:126.1,126.0,29.0,570.0] || -> r1(u,skf97(u))*r.
% 0.55/0.73 572[0:OCh:126.1,126.0,28.0,571.0] || -> r1(u,skf98(u))*r.
% 0.55/0.73 573[0:OCh:126.1,126.0,572.0,27.0] || -> r1(u,skf99(u))*r.
% 0.55/0.73 574[0:OCh:126.1,126.0,26.0,573.0] || -> r1(u,skf100(u))*r.
% 0.55/0.73 575[0:OCh:126.1,126.0,25.0,574.0] || -> r1(u,skf101(u))*r.
% 0.55/0.73 576[0:OCh:126.1,126.0,24.0,575.0] || -> r1(u,skf102(u))*r.
% 0.55/0.73 577[0:OCh:126.1,126.0,23.0,576.0] || -> r1(u,skf103(u))*r.
% 0.55/0.73 578[0:OCh:126.1,126.0,577.0,22.0] || -> r1(u,skf104(u))*r.
% 0.55/0.73 579[0:OCh:126.1,126.0,21.0,578.0] || -> r1(u,skf105(u))*r.
% 0.55/0.73 580[0:OCh:126.1,126.0,20.0,579.0] || -> r1(u,skf106(u))*r.
% 0.55/0.73 581[0:OCh:126.1,126.0,19.0,580.0] || -> r1(u,skf107(u))*r.
% 0.55/0.73 582[0:OCh:126.1,126.0,18.0,581.0] || -> r1(u,skf108(u))*r.
% 0.55/0.73 583[0:OCh:126.1,126.0,582.0,17.0] || -> r1(u,skf109(u))*r.
% 0.55/0.73 584[0:OCh:126.1,126.0,16.0,583.0] || -> r1(u,skf110(u))*r.
% 0.55/0.73 585[0:OCh:126.1,126.0,15.0,584.0] || -> r1(u,skf111(u))*r.
% 0.55/0.73 586[0:OCh:126.1,126.0,14.0,585.0] || -> r1(u,skf112(u))*r.
% 0.55/0.73 587[0:OCh:126.1,126.0,13.0,586.0] || -> r1(u,skf113(u))*r.
% 0.55/0.73 588[0:OCh:126.1,126.0,587.0,12.0] || -> r1(u,skf114(u))*r.
% 0.55/0.73 589[0:OCh:126.1,126.0,11.0,588.0] || -> r1(u,skf115(u))*r.
% 0.55/0.73 590[0:OCh:126.1,126.0,10.0,589.0] || -> r1(u,skf116(u))*r.
% 0.55/0.73 796[0:Res:7.0,185.1] p2(skf119(u)) || r1(skc7,u) -> p1(skf119(u))*.
% 0.55/0.73 1029[0:MRR:796.0,125.1] || r1(skc7,u) -> p1(skf119(u))*.
% 0.55/0.73 1030[0:MRR:184.0,1029.1] || p2(skf119(u))* r1(skc7,u) -> .
% 0.55/0.73 1103[0:Res:7.0,186.1] p1(skf119(u)) || r1(skc7,u) -> p2(skf119(u))*.
% 0.55/0.73 1337[0:MRR:1103.0,1103.2,1029.1,1030.0] || r1(skc7,u)* -> .
% 0.55/0.73 1338[0:UnC:1337.0,590.0] || -> .
% 0.55/0.73 % SZS output end Refutation
% 0.55/0.73 Formulae used in the proof : main reflexivity transitivity
% 0.55/0.73
%------------------------------------------------------------------------------