TSTP Solution File: LCL652+1.001 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL652+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 14:38:25 EDT 2022
% Result : Theorem 0.46s 0.63s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL652+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n027.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 01:53:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.46/0.63
% 0.46/0.63 SPASS V 3.9
% 0.46/0.63 SPASS beiseite: Proof found.
% 0.46/0.63 % SZS status Theorem
% 0.46/0.63 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.63 SPASS derived 1318 clauses, backtracked 259 clauses, performed 18 splits and kept 1199 clauses.
% 0.46/0.63 SPASS allocated 98674 KBytes.
% 0.46/0.63 SPASS spent 0:00:00.27 on the problem.
% 0.46/0.63 0:00:00.04 for the input.
% 0.46/0.63 0:00:00.09 for the FLOTTER CNF translation.
% 0.46/0.63 0:00:00.01 for inferences.
% 0.46/0.63 0:00:00.01 for the backtracking.
% 0.46/0.63 0:00:00.10 for the reduction.
% 0.46/0.63
% 0.46/0.63
% 0.46/0.63 Here is a proof with depth 5, length 86 :
% 0.46/0.63 % SZS output start Refutation
% 0.46/0.63 1[0:Inp] || -> p2(skf18(u))*.
% 0.46/0.63 2[0:Inp] || -> r1(skc5,skc12)*.
% 0.46/0.63 4[0:Inp] || -> r1(skc9,skc10)*.
% 0.46/0.63 5[0:Inp] || -> r1(skc5,skc9)*.
% 0.46/0.63 9[0:Inp] || p2(skf15(u))* -> .
% 0.46/0.63 11[0:Inp] || r1(skc10,u)* -> p1(u).
% 0.46/0.63 12[0:Inp] || -> SkP2(u) r1(u,skf18(u))*.
% 0.46/0.63 13[0:Inp] || -> SkP4(u) r1(u,skf22(u))*.
% 0.46/0.63 15[0:Inp] || -> SkP2(u) r1(skf18(u),skf19(u))*.
% 0.46/0.63 16[0:Inp] SkP2(u) || r1(skf13(v),u)* -> .
% 0.46/0.63 17[0:Inp] || r1(skc12,u) -> r1(u,skf15(u))*.
% 0.46/0.63 18[0:Inp] SkP4(u) || r1(skc5,u)* -> SkP1(u).
% 0.46/0.63 19[0:Inp] SkP3(u) || r1(u,v)* -> p2(v).
% 0.46/0.63 21[0:Inp] SkP4(u) SkP2(u) || r1(skc5,u)* -> .
% 0.46/0.63 22[0:Inp] p2(u) || r1(skf22(v),u)*+ -> SkP4(w)*.
% 0.46/0.63 23[0:Inp] SkP2(u) || r1(v,u)*+ r1(skc5,v)* -> .
% 0.46/0.63 27[0:Inp] SkP2(u) SkP1(v) || r1(v,w)*+ r1(w,u)* -> .
% 0.46/0.63 28[0:Inp] SkP4(u) || r1(v,u)*+ r1(skc5,v)* -> r1(u,skf13(u))*.
% 0.46/0.63 31[0:Inp] p1(u) || r1(v,u)*+ r1(w,v)* r1(skc5,w)* -> p1(skf16(x))*.
% 0.46/0.63 33[0:Inp] SkP4(u) p2(v) || r1(w,v)*+ r1(v,u)* r1(skc5,w)* -> SkP3(v).
% 0.46/0.63 48[1:Spt:31.0,31.1,31.2,31.3] p1(u) || r1(v,u)*+ r1(w,v)* r1(skc5,w)* -> .
% 0.46/0.63 98[0:Res:17.1,19.1] SkP3(u) || r1(skc12,u) -> p2(skf15(u))*.
% 0.46/0.63 100[0:MRR:98.2,9.0] SkP3(u) || r1(skc12,u)* -> .
% 0.46/0.63 112[0:Res:12.1,100.1] SkP3(skf18(skc12)) || -> SkP2(skc12)*.
% 0.46/0.63 148[0:Res:4.0,27.2] SkP2(u) SkP1(skc9) || r1(skc10,u)* -> .
% 0.46/0.63 150[0:Res:12.1,27.2] SkP2(u) SkP1(v) || r1(skf18(v),u)* -> SkP2(v).
% 0.46/0.63 163[0:Res:13.1,23.1] SkP2(skf22(u)) || r1(skc5,u)* -> SkP4(u).
% 0.46/0.63 169[0:Res:13.1,16.1] SkP2(skf22(skf13(u))) || -> SkP4(skf13(u))*.
% 0.46/0.63 197[0:Res:4.0,28.1] SkP4(skc10) || r1(skc5,skc9) -> r1(skc10,skf13(skc10))*.
% 0.46/0.63 199[0:Res:12.1,28.1] SkP4(skf18(u)) || r1(skc5,u) -> SkP2(u) r1(skf18(u),skf13(skf18(u)))*.
% 0.46/0.63 203[0:MRR:197.1,5.0] SkP4(skc10) || -> r1(skc10,skf13(skc10))*.
% 0.46/0.63 232[0:Res:12.1,33.2] SkP4(u) p2(skf18(v)) || r1(skf18(v),u)* r1(skc5,v) -> SkP2(v) SkP3(skf18(v)).
% 0.46/0.63 238[0:SSi:232.1,1.0] SkP4(u) || r1(skf18(v),u)* r1(skc5,v) -> SkP2(v) SkP3(skf18(v)).
% 0.46/0.63 274[2:Spt:22.2] || -> SkP4(u)*.
% 0.46/0.63 288[2:MRR:203.0,274.0] || -> r1(skc10,skf13(skc10))*.
% 0.46/0.63 303[2:Res:288.0,48.1] p1(skf13(skc10)) || r1(u,skc10)* r1(skc5,u)* -> .
% 0.46/0.63 304[2:Res:288.0,11.0] || -> p1(skf13(skc10))*.
% 0.46/0.63 309[2:MRR:303.0,304.0] || r1(u,skc10)*+ r1(skc5,u)* -> .
% 0.46/0.63 399[2:Res:4.0,309.0] || r1(skc5,skc9)* -> .
% 0.46/0.63 400[2:MRR:399.0,5.0] || -> .
% 0.46/0.63 401[2:Spt:400.0,22.0,22.1] p2(u) || r1(skf22(v),u)* -> .
% 0.46/0.63 402[2:Res:12.1,401.1] p2(skf18(skf22(u))) || -> SkP2(skf22(u))*.
% 0.46/0.63 405[2:SSi:402.0,1.0] || -> SkP2(skf22(u))*.
% 0.46/0.63 407[2:MRR:163.0,405.0] || r1(skc5,u)* -> SkP4(u).
% 0.46/0.63 408[2:MRR:18.0,407.1] || r1(skc5,u)* -> SkP1(u).
% 0.46/0.63 414[2:Res:5.0,408.0] || -> SkP1(skc9)*.
% 0.46/0.63 419[2:MRR:148.1,414.0] SkP2(u) || r1(skc10,u)* -> .
% 0.46/0.63 476[2:Res:13.1,419.1] SkP2(skf22(skc10)) || -> SkP4(skc10)*.
% 0.46/0.63 478[2:SSi:476.0,405.0] || -> SkP4(skc10)*.
% 0.46/0.63 479[2:MRR:203.0,478.0] || -> r1(skc10,skf13(skc10))*.
% 0.46/0.63 482[2:Res:479.0,48.1] p1(skf13(skc10)) || r1(u,skc10)* r1(skc5,u)* -> .
% 0.46/0.63 484[2:Res:479.0,11.0] || -> p1(skf13(skc10))*.
% 0.46/0.63 490[2:MRR:482.0,484.0] || r1(u,skc10)*+ r1(skc5,u)* -> .
% 0.46/0.63 539[2:Res:4.0,490.0] || r1(skc5,skc9)* -> .
% 0.46/0.63 540[2:MRR:539.0,5.0] || -> .
% 0.46/0.63 541[1:Spt:540.0,31.4] || -> p1(skf16(u))*.
% 0.46/0.63 759[2:Spt:22.2] || -> SkP4(u)*.
% 0.46/0.63 769[2:MRR:21.0,759.0] SkP2(u) || r1(skc5,u)* -> .
% 0.46/0.63 770[2:MRR:238.0,759.0] || r1(skf18(u),v)* r1(skc5,u) -> SkP2(u) SkP3(skf18(u)).
% 0.46/0.63 783[2:MRR:770.2,769.0] || r1(skf18(u),v)* r1(skc5,u) -> SkP3(skf18(u)).
% 0.46/0.63 807[2:Res:2.0,769.1] SkP2(skc12) || -> .
% 0.46/0.63 810[2:MRR:112.1,807.0] SkP3(skf18(skc12)) || -> .
% 0.46/0.63 1100[2:Res:15.1,783.0] || r1(skc5,u) -> SkP2(u) SkP3(skf18(u))*.
% 0.46/0.63 1103[2:MRR:1100.1,769.0] || r1(skc5,u) -> SkP3(skf18(u))*.
% 0.46/0.63 1108[2:SoR:810.0,1103.1] || r1(skc5,skc12)* -> .
% 0.46/0.63 1111[2:MRR:1108.0,2.0] || -> .
% 0.46/0.63 1114[2:Spt:1111.0,22.0,22.1] p2(u) || r1(skf22(v),u)* -> .
% 0.46/0.63 1117[2:Res:12.1,1114.1] p2(skf18(skf22(u))) || -> SkP2(skf22(u))*.
% 0.46/0.63 1120[2:SSi:1117.0,1.0] || -> SkP2(skf22(u))*.
% 0.46/0.63 1121[2:MRR:169.0,1120.0] || -> SkP4(skf13(u))*.
% 0.46/0.63 1122[2:MRR:163.0,1120.0] || r1(skc5,u)* -> SkP4(u).
% 0.46/0.63 1123[2:MRR:18.0,1122.1] || r1(skc5,u)* -> SkP1(u).
% 0.46/0.63 1124[2:MRR:21.0,1122.1] SkP2(u) || r1(skc5,u)* -> .
% 0.46/0.63 1128[2:MRR:199.2,1124.0] SkP4(skf18(u)) || r1(skc5,u) -> r1(skf18(u),skf13(skf18(u)))*.
% 0.46/0.63 1129[2:MRR:238.3,1124.0] SkP4(u) || r1(skf18(v),u)* r1(skc5,v) -> SkP3(skf18(v)).
% 0.46/0.63 1155[2:Res:2.0,1124.1] SkP2(skc12) || -> .
% 0.46/0.63 1160[2:MRR:112.1,1155.0] SkP3(skf18(skc12)) || -> .
% 0.46/0.63 1386[0:Res:13.1,150.2] SkP2(skf22(skf18(u))) SkP1(u) || -> SkP4(skf18(u))* SkP2(u).
% 0.46/0.63 1391[2:SSi:1386.0,1120.0,1.0] SkP1(u) || -> SkP4(skf18(u))* SkP2(u).
% 0.46/0.63 1455[2:SoR:1128.0,1391.1] SkP1(u) || r1(skc5,u) -> r1(skf18(u),skf13(skf18(u)))* SkP2(u).
% 0.46/0.63 1456[2:MRR:1455.0,1455.3,1123.1,1124.0] || r1(skc5,u) -> r1(skf18(u),skf13(skf18(u)))*.
% 0.46/0.63 1591[2:Res:1456.1,1129.1] SkP4(skf13(skf18(u))) || r1(skc5,u) r1(skc5,u) -> SkP3(skf18(u))*.
% 0.46/0.63 1594[2:Obv:1591.1] SkP4(skf13(skf18(u))) || r1(skc5,u) -> SkP3(skf18(u))*.
% 0.46/0.63 1595[2:SSi:1594.0,1121.0,1.0] || r1(skc5,u) -> SkP3(skf18(u))*.
% 0.46/0.63 1601[2:SoR:1160.0,1595.1] || r1(skc5,skc12)* -> .
% 0.46/0.63 1602[2:MRR:1601.0,2.0] || -> .
% 0.46/0.63 % SZS output end Refutation
% 0.46/0.63 Formulae used in the proof : main
% 0.46/0.63
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