TSTP Solution File: GEO641+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO641+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%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 : 300s
% DateTime : Wed May 31 12:09:24 EDT 2023
% Result : Theorem 7.25s 1.33s
% Output : CNFRefutation 7.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO641+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:59:28 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 7.25/1.33 % Refutation found
% 7.25/1.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.25/1.33 % SZS output start CNFRefutation for theBenchmark
% 7.25/1.33 fof(f1,axiom,(
% 7.25/1.33 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f2,axiom,(
% 7.25/1.33 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f4,axiom,(
% 7.25/1.33 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f7,axiom,(
% 7.25/1.33 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f8,axiom,(
% 7.25/1.33 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f9,axiom,(
% 7.25/1.33 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f14,axiom,(
% 7.25/1.33 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f15,axiom,(
% 7.25/1.33 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f16,axiom,(
% 7.25/1.33 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f17,axiom,(
% 7.25/1.33 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f19,axiom,(
% 7.25/1.33 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(C,D,A,B,U,V,P,Q) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f39,axiom,(
% 7.25/1.33 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f40,axiom,(
% 7.25/1.33 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f41,axiom,(
% 7.25/1.33 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f43,axiom,(
% 7.25/1.33 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f44,axiom,(
% 7.25/1.33 (! [A,B,C,P,Q,R] :( ( cyclic(A,B,C,P)& cyclic(A,B,C,Q)& cyclic(A,B,C,R)& eqangle(C,A,C,B,R,P,R,Q) )=> cong(A,B,P,Q) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f57,axiom,(
% 7.25/1.33 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f67,axiom,(
% 7.25/1.33 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f95,conjecture,(
% 7.25/1.33 (! [A,B,C,O,D,U,V,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& perp(A,B,D,U)& perp(A,D,B,U)& perp(B,D,A,U)& perp(A,C,D,V)& perp(A,D,C,V)& perp(C,D,A,V) )=> para(U,V,B,C) ) )),
% 7.25/1.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.25/1.33 fof(f96,negated_conjecture,(
% 7.25/1.33 ~((! [A,B,C,O,D,U,V,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& perp(A,B,D,U)& perp(A,D,B,U)& perp(B,D,A,U)& perp(A,C,D,V)& perp(A,D,C,V)& perp(C,D,A,V) )=> para(U,V,B,C) ) ))),
% 7.25/1.33 inference(negated_conjecture,[status(cth)],[f95])).
% 7.25/1.33 fof(f97,plain,(
% 7.25/1.33 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 7.25/1.33 fof(f98,plain,(
% 7.25/1.33 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f97])).
% 7.25/1.33 fof(f99,plain,(
% 7.25/1.33 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 7.25/1.33 fof(f100,plain,(
% 7.25/1.33 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f99])).
% 7.25/1.33 fof(f104,plain,(
% 7.25/1.33 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 7.25/1.33 fof(f105,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f104])).
% 7.25/1.33 fof(f111,plain,(
% 7.25/1.33 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 7.25/1.33 fof(f112,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f111])).
% 7.25/1.33 fof(f113,plain,(
% 7.25/1.33 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 7.25/1.33 fof(f114,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f113])).
% 7.25/1.33 fof(f115,plain,(
% 7.25/1.33 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 7.25/1.33 fof(f116,plain,(
% 7.25/1.33 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 7.25/1.33 inference(miniscoping,[status(esa)],[f115])).
% 7.25/1.33 fof(f117,plain,(
% 7.25/1.33 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f116])).
% 7.25/1.33 fof(f128,plain,(
% 7.25/1.33 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 7.25/1.33 fof(f129,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f128])).
% 7.25/1.33 fof(f130,plain,(
% 7.25/1.33 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 7.25/1.33 fof(f131,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f130])).
% 7.25/1.33 fof(f132,plain,(
% 7.25/1.33 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 7.25/1.33 fof(f133,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f132])).
% 7.25/1.33 fof(f134,plain,(
% 7.25/1.33 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 7.25/1.33 fof(f135,plain,(
% 7.25/1.33 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 7.25/1.33 inference(miniscoping,[status(esa)],[f134])).
% 7.25/1.33 fof(f136,plain,(
% 7.25/1.33 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f135])).
% 7.25/1.33 fof(f139,plain,(
% 7.25/1.33 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 7.25/1.33 fof(f140,plain,(
% 7.25/1.33 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X2,X3,X0,X1,X6,X7,X4,X5))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f139])).
% 7.25/1.33 fof(f184,plain,(
% 7.25/1.33 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 7.25/1.33 fof(f185,plain,(
% 7.25/1.33 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 7.25/1.33 inference(miniscoping,[status(esa)],[f184])).
% 7.25/1.33 fof(f186,plain,(
% 7.25/1.33 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f185])).
% 7.25/1.33 fof(f187,plain,(
% 7.25/1.33 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 7.25/1.33 fof(f188,plain,(
% 7.25/1.33 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 7.25/1.33 inference(miniscoping,[status(esa)],[f187])).
% 7.25/1.33 fof(f189,plain,(
% 7.25/1.33 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f188])).
% 7.25/1.33 fof(f190,plain,(
% 7.25/1.33 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 7.25/1.33 fof(f191,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f190])).
% 7.25/1.33 fof(f194,plain,(
% 7.25/1.33 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 7.25/1.33 fof(f195,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f194])).
% 7.25/1.33 fof(f196,plain,(
% 7.25/1.33 ![A,B,C,P,Q,R]: ((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 7.25/1.33 fof(f197,plain,(
% 7.25/1.33 ![A,B,P,Q]: ((![C,R]: (((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))),
% 7.25/1.33 inference(miniscoping,[status(esa)],[f196])).
% 7.25/1.33 fof(f198,plain,(
% 7.25/1.33 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~cyclic(X0,X1,X2,X5)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f197])).
% 7.25/1.33 fof(f231,plain,(
% 7.25/1.33 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 7.25/1.33 fof(f232,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f231])).
% 7.25/1.33 fof(f255,plain,(
% 7.25/1.33 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 7.25/1.33 fof(f256,plain,(
% 7.25/1.33 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f255])).
% 7.25/1.33 fof(f369,plain,(
% 7.25/1.33 (?[A,B,C,O,D,U,V,NWPNT1]: ((((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(A,B,D,U))&perp(A,D,B,U))&perp(B,D,A,U))&perp(A,C,D,V))&perp(A,D,C,V))&perp(C,D,A,V))&~para(U,V,B,C)))),
% 7.25/1.33 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 7.25/1.33 fof(f370,plain,(
% 7.25/1.33 ?[B,C,U,V]: ((?[A,D]: (((((((?[O]: (circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,D,NWPNT1))))&perp(A,B,D,U))&perp(A,D,B,U))&perp(B,D,A,U))&perp(A,C,D,V))&perp(A,D,C,V))&perp(C,D,A,V)))&~para(U,V,B,C))),
% 7.25/1.33 inference(miniscoping,[status(esa)],[f369])).
% 7.25/1.33 fof(f371,plain,(
% 7.25/1.33 ((((((((circle(sk0_26,sk0_24,sk0_20,sk0_21)&circle(sk0_26,sk0_24,sk0_25,sk0_27))&perp(sk0_24,sk0_20,sk0_25,sk0_22))&perp(sk0_24,sk0_25,sk0_20,sk0_22))&perp(sk0_20,sk0_25,sk0_24,sk0_22))&perp(sk0_24,sk0_21,sk0_25,sk0_23))&perp(sk0_24,sk0_25,sk0_21,sk0_23))&perp(sk0_21,sk0_25,sk0_24,sk0_23))&~para(sk0_22,sk0_23,sk0_20,sk0_21))),
% 7.25/1.33 inference(skolemization,[status(esa)],[f370])).
% 7.25/1.33 fof(f374,plain,(
% 7.25/1.33 perp(sk0_24,sk0_20,sk0_25,sk0_22)),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f371])).
% 7.25/1.33 fof(f380,plain,(
% 7.25/1.33 ~para(sk0_22,sk0_23,sk0_20,sk0_21)),
% 7.25/1.33 inference(cnf_transformation,[status(esa)],[f371])).
% 7.25/1.33 fof(f398,plain,(
% 7.25/1.33 perp(sk0_25,sk0_22,sk0_24,sk0_20)),
% 7.25/1.33 inference(resolution,[status(thm)],[f114,f374])).
% 7.25/1.33 fof(f462,plain,(
% 7.25/1.33 ![X0,X1]: (~perp(X0,X1,sk0_25,sk0_22)|para(X0,X1,sk0_24,sk0_20))),
% 7.25/1.33 inference(resolution,[status(thm)],[f398,f117])).
% 7.25/1.33 fof(f464,plain,(
% 7.25/1.33 perp(sk0_25,sk0_22,sk0_20,sk0_24)),
% 7.25/1.33 inference(resolution,[status(thm)],[f398,f112])).
% 7.25/1.33 fof(f513,plain,(
% 7.25/1.33 perp(sk0_20,sk0_24,sk0_25,sk0_22)),
% 7.25/1.33 inference(resolution,[status(thm)],[f464,f114])).
% 7.25/1.33 fof(f887,plain,(
% 7.25/1.33 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~para(X2,X3,X4,X5))),
% 7.25/1.33 inference(resolution,[status(thm)],[f140,f189])).
% 7.25/1.33 fof(f1743,plain,(
% 7.25/1.33 para(sk0_20,sk0_24,sk0_24,sk0_20)),
% 7.25/1.33 inference(resolution,[status(thm)],[f462,f513])).
% 7.25/1.33 fof(f1755,plain,(
% 7.25/1.33 para(sk0_20,sk0_24,sk0_20,sk0_24)),
% 7.25/1.33 inference(resolution,[status(thm)],[f1743,f105])).
% 7.25/1.33 fof(f3315,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X1)|~cyclic(X0,X1,X2,X3)|cong(X0,X1,X0,X1)|~cyclic(X0,X1,X2,X3))),
% 7.25/1.33 inference(resolution,[status(thm)],[f198,f191])).
% 7.25/1.33 fof(f3316,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X1)|~cyclic(X0,X1,X2,X3)|cong(X0,X1,X0,X1))),
% 7.25/1.33 inference(duplicate_literals_removal,[status(esa)],[f3315])).
% 7.25/1.33 fof(f4573,plain,(
% 7.25/1.33 ![X0,X1,X2]: (~para(X0,X1,X0,X1)|~coll(X0,X0,X1)|cyclic(X2,X1,X0,X0))),
% 7.25/1.33 inference(resolution,[status(thm)],[f887,f195])).
% 7.25/1.33 fof(f4583,plain,(
% 7.25/1.33 spl0_192 <=> ~para(X0,X1,X0,X1)),
% 7.25/1.33 introduced(split_symbol_definition)).
% 7.25/1.33 fof(f4584,plain,(
% 7.25/1.33 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_192)),
% 7.25/1.33 inference(component_clause,[status(thm)],[f4583])).
% 7.25/1.33 fof(f4586,plain,(
% 7.25/1.33 spl0_193 <=> para(X2,X3,X2,X3)),
% 7.25/1.33 introduced(split_symbol_definition)).
% 7.25/1.33 fof(f4587,plain,(
% 7.25/1.33 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_193)),
% 7.25/1.33 inference(component_clause,[status(thm)],[f4586])).
% 7.25/1.33 fof(f4589,plain,(
% 7.25/1.33 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 7.25/1.33 inference(resolution,[status(thm)],[f887,f186])).
% 7.25/1.33 fof(f4590,plain,(
% 7.25/1.33 spl0_192|spl0_193),
% 7.25/1.33 inference(split_clause,[status(thm)],[f4589,f4583,f4586])).
% 7.25/1.33 fof(f4592,plain,(
% 7.25/1.33 $false|~spl0_192),
% 7.25/1.33 inference(backward_subsumption_resolution,[status(thm)],[f1755,f4584])).
% 7.60/1.33 fof(f4593,plain,(
% 7.60/1.33 ~spl0_192),
% 7.60/1.33 inference(contradiction_clause,[status(thm)],[f4592])).
% 7.60/1.33 fof(f4596,plain,(
% 7.60/1.33 ![X0,X1,X2]: (~coll(X0,X0,X1)|cyclic(X2,X1,X0,X0)|~spl0_193)),
% 7.60/1.33 inference(forward_subsumption_resolution,[status(thm)],[f4573,f4587])).
% 7.60/1.33 fof(f5250,plain,(
% 7.60/1.33 ![X0,X1]: (coll(X0,X1,X1)|~spl0_193)),
% 7.60/1.33 inference(resolution,[status(thm)],[f4587,f256])).
% 7.60/1.33 fof(f5433,plain,(
% 7.60/1.33 ![X0,X1]: (coll(X0,X1,X0)|~spl0_193)),
% 7.60/1.33 inference(resolution,[status(thm)],[f5250,f100])).
% 7.60/1.33 fof(f5595,plain,(
% 7.60/1.33 ![X0,X1]: (coll(X0,X0,X1)|~spl0_193)),
% 7.60/1.33 inference(resolution,[status(thm)],[f5433,f98])).
% 7.60/1.33 fof(f5626,plain,(
% 7.60/1.33 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2)|~spl0_193)),
% 7.60/1.33 inference(backward_subsumption_resolution,[status(thm)],[f4596,f5595])).
% 7.60/1.33 fof(f5705,plain,(
% 7.60/1.33 ![X0,X1,X2]: (cyclic(X0,X1,X2,X1)|~spl0_193)),
% 7.60/1.33 inference(resolution,[status(thm)],[f5626,f131])).
% 7.60/1.33 fof(f5712,plain,(
% 7.60/1.33 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X3)|cong(X0,X1,X0,X1)|~spl0_193)),
% 7.60/1.33 inference(backward_subsumption_resolution,[status(thm)],[f3316,f5705])).
% 7.60/1.33 fof(f5714,plain,(
% 7.60/1.33 ![X0,X1,X2]: (cyclic(X0,X1,X2,X0)|~spl0_193)),
% 7.60/1.33 inference(resolution,[status(thm)],[f5705,f133])).
% 7.60/1.33 fof(f5717,plain,(
% 7.60/1.33 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cong(X0,X1,X0,X1)|~spl0_193)),
% 7.60/1.33 inference(backward_subsumption_resolution,[status(thm)],[f5712,f5714])).
% 7.60/1.33 fof(f5723,plain,(
% 7.60/1.33 ![X0,X1,X2]: (cyclic(X0,X1,X0,X2)|~spl0_193)),
% 7.60/1.33 inference(resolution,[status(thm)],[f5714,f129])).
% 7.60/1.33 fof(f5741,plain,(
% 7.60/1.33 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X0,X2)|cyclic(X1,X0,X2,X3)|~spl0_193)),
% 7.60/1.33 inference(resolution,[status(thm)],[f5723,f136])).
% 7.60/1.33 fof(f5742,plain,(
% 7.60/1.33 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_193)),
% 7.60/1.33 inference(forward_subsumption_resolution,[status(thm)],[f5741,f5723])).
% 7.60/1.33 fof(f5753,plain,(
% 7.60/1.33 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_193)),
% 7.60/1.33 inference(backward_subsumption_resolution,[status(thm)],[f5717,f5742])).
% 7.60/1.33 fof(f5774,plain,(
% 7.60/1.33 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2)|~spl0_193)),
% 7.60/1.33 inference(resolution,[status(thm)],[f5753,f232])).
% 7.60/1.33 fof(f5775,plain,(
% 7.60/1.33 ![X0,X1,X2]: (perp(X0,X0,X1,X2)|~spl0_193)),
% 7.60/1.33 inference(forward_subsumption_resolution,[status(thm)],[f5774,f5753])).
% 7.60/1.33 fof(f5811,plain,(
% 7.60/1.33 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X2,X2)|para(X0,X1,X3,X4)|~spl0_193)),
% 7.60/1.33 inference(resolution,[status(thm)],[f5775,f117])).
% 7.60/1.33 fof(f5812,plain,(
% 7.60/1.33 ![X0,X1,X2]: (perp(X0,X1,X2,X2)|~spl0_193)),
% 7.60/1.33 inference(resolution,[status(thm)],[f5775,f114])).
% 7.60/1.33 fof(f5815,plain,(
% 7.60/1.33 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_193)),
% 7.60/1.33 inference(backward_subsumption_resolution,[status(thm)],[f5811,f5812])).
% 7.60/1.33 fof(f5882,plain,(
% 7.60/1.33 $false|~spl0_193),
% 7.60/1.33 inference(backward_subsumption_resolution,[status(thm)],[f380,f5815])).
% 7.60/1.33 fof(f5883,plain,(
% 7.60/1.33 ~spl0_193),
% 7.60/1.33 inference(contradiction_clause,[status(thm)],[f5882])).
% 7.60/1.33 fof(f5884,plain,(
% 7.60/1.33 $false),
% 7.60/1.33 inference(sat_refutation,[status(thm)],[f4590,f4593,f5883])).
% 7.60/1.33 % SZS output end CNFRefutation for theBenchmark.p
% 7.67/1.35 % Elapsed time: 1.036544 seconds
% 7.67/1.35 % CPU time: 7.734052 seconds
% 7.67/1.35 % Memory used: 103.875 MB
%------------------------------------------------------------------------------