TSTP Solution File: GEO607+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO607+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:09:18 EDT 2023
% Result : Theorem 2.55s 0.70s
% Output : CNFRefutation 2.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO607+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 12:13:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 2.55/0.70 % Refutation found
% 2.55/0.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.55/0.70 % SZS output start CNFRefutation for theBenchmark
% 2.55/0.70 fof(f1,axiom,(
% 2.55/0.70 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f2,axiom,(
% 2.55/0.70 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f3,axiom,(
% 2.55/0.70 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f4,axiom,(
% 2.55/0.70 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f7,axiom,(
% 2.55/0.70 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f8,axiom,(
% 2.55/0.70 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f9,axiom,(
% 2.55/0.70 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f17,axiom,(
% 2.55/0.70 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f19,axiom,(
% 2.55/0.70 (! [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) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f21,axiom,(
% 2.55/0.70 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(A,B,P,Q,C,D,U,V) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f39,axiom,(
% 2.55/0.70 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f40,axiom,(
% 2.55/0.70 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f41,axiom,(
% 2.55/0.70 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f43,axiom,(
% 2.55/0.70 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f44,axiom,(
% 2.55/0.70 (! [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) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f58,axiom,(
% 2.55/0.70 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f67,axiom,(
% 2.55/0.70 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f95,conjecture,(
% 2.55/0.70 (! [A,B,C,D,E,F] :( ( midp(C,B,A)& perp(D,A,D,B)& circle(E,A,C,D)& circle(F,B,D,C) )=> perp(E,D,D,F) ) )),
% 2.55/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.70 fof(f96,negated_conjecture,(
% 2.55/0.70 ~((! [A,B,C,D,E,F] :( ( midp(C,B,A)& perp(D,A,D,B)& circle(E,A,C,D)& circle(F,B,D,C) )=> perp(E,D,D,F) ) ))),
% 2.55/0.70 inference(negated_conjecture,[status(cth)],[f95])).
% 2.55/0.70 fof(f97,plain,(
% 2.55/0.70 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 2.55/0.70 fof(f98,plain,(
% 2.55/0.70 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f97])).
% 2.55/0.70 fof(f99,plain,(
% 2.55/0.70 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.55/0.70 fof(f100,plain,(
% 2.55/0.70 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f99])).
% 2.55/0.70 fof(f101,plain,(
% 2.55/0.70 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 2.55/0.70 fof(f102,plain,(
% 2.55/0.70 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 2.55/0.70 inference(miniscoping,[status(esa)],[f101])).
% 2.55/0.70 fof(f103,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f102])).
% 2.55/0.70 fof(f104,plain,(
% 2.55/0.70 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 2.55/0.70 fof(f105,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f104])).
% 2.55/0.70 fof(f111,plain,(
% 2.55/0.70 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 2.55/0.70 fof(f112,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f111])).
% 2.55/0.70 fof(f113,plain,(
% 2.55/0.70 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 2.55/0.70 fof(f114,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f113])).
% 2.55/0.70 fof(f115,plain,(
% 2.55/0.70 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.55/0.70 fof(f116,plain,(
% 2.55/0.70 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.55/0.70 inference(miniscoping,[status(esa)],[f115])).
% 2.55/0.70 fof(f117,plain,(
% 2.55/0.70 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f116])).
% 2.55/0.70 fof(f134,plain,(
% 2.55/0.70 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 2.55/0.70 fof(f135,plain,(
% 2.55/0.70 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 2.55/0.70 inference(miniscoping,[status(esa)],[f134])).
% 2.55/0.70 fof(f136,plain,(
% 2.55/0.70 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f135])).
% 2.55/0.70 fof(f139,plain,(
% 2.55/0.70 ![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))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 2.55/0.70 fof(f140,plain,(
% 2.55/0.70 ![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))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f139])).
% 2.55/0.70 fof(f143,plain,(
% 2.55/0.70 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 2.55/0.70 fof(f144,plain,(
% 2.55/0.70 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X4,X5,X2,X3,X6,X7))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f143])).
% 2.55/0.70 fof(f184,plain,(
% 2.55/0.70 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 2.55/0.70 fof(f185,plain,(
% 2.55/0.70 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 2.55/0.70 inference(miniscoping,[status(esa)],[f184])).
% 2.55/0.70 fof(f186,plain,(
% 2.55/0.70 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f185])).
% 2.55/0.70 fof(f187,plain,(
% 2.55/0.70 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 2.55/0.70 fof(f188,plain,(
% 2.55/0.70 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.55/0.70 inference(miniscoping,[status(esa)],[f187])).
% 2.55/0.70 fof(f189,plain,(
% 2.55/0.70 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f188])).
% 2.55/0.70 fof(f190,plain,(
% 2.55/0.70 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 2.55/0.70 fof(f191,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f190])).
% 2.55/0.70 fof(f194,plain,(
% 2.55/0.70 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 2.55/0.70 fof(f195,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f194])).
% 2.55/0.70 fof(f196,plain,(
% 2.55/0.70 ![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))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 2.55/0.70 fof(f197,plain,(
% 2.55/0.70 ![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))),
% 2.55/0.70 inference(miniscoping,[status(esa)],[f196])).
% 2.55/0.70 fof(f198,plain,(
% 2.55/0.70 ![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))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f197])).
% 2.55/0.70 fof(f233,plain,(
% 2.55/0.70 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 2.55/0.70 fof(f234,plain,(
% 2.55/0.70 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 2.55/0.70 inference(miniscoping,[status(esa)],[f233])).
% 2.55/0.70 fof(f235,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f234])).
% 2.55/0.70 fof(f255,plain,(
% 2.55/0.70 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 2.55/0.70 fof(f256,plain,(
% 2.55/0.70 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f255])).
% 2.55/0.70 fof(f369,plain,(
% 2.55/0.70 (?[A,B,C,D,E,F]: ((((midp(C,B,A)&perp(D,A,D,B))&circle(E,A,C,D))&circle(F,B,D,C))&~perp(E,D,D,F)))),
% 2.55/0.70 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 2.55/0.70 fof(f370,plain,(
% 2.55/0.70 ?[D,E,F]: ((?[B,C]: ((?[A]: ((midp(C,B,A)&perp(D,A,D,B))&circle(E,A,C,D)))&circle(F,B,D,C)))&~perp(E,D,D,F))),
% 2.55/0.70 inference(miniscoping,[status(esa)],[f369])).
% 2.55/0.70 fof(f371,plain,(
% 2.55/0.70 ((((midp(sk0_24,sk0_23,sk0_25)&perp(sk0_20,sk0_25,sk0_20,sk0_23))&circle(sk0_21,sk0_25,sk0_24,sk0_20))&circle(sk0_22,sk0_23,sk0_20,sk0_24))&~perp(sk0_21,sk0_20,sk0_20,sk0_22))),
% 2.55/0.70 inference(skolemization,[status(esa)],[f370])).
% 2.55/0.70 fof(f373,plain,(
% 2.55/0.70 perp(sk0_20,sk0_25,sk0_20,sk0_23)),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f371])).
% 2.55/0.70 fof(f376,plain,(
% 2.55/0.70 ~perp(sk0_21,sk0_20,sk0_20,sk0_22)),
% 2.55/0.70 inference(cnf_transformation,[status(esa)],[f371])).
% 2.55/0.70 fof(f384,plain,(
% 2.55/0.70 perp(sk0_20,sk0_23,sk0_20,sk0_25)),
% 2.55/0.70 inference(resolution,[status(thm)],[f114,f373])).
% 2.55/0.70 fof(f388,plain,(
% 2.55/0.70 perp(sk0_20,sk0_23,sk0_25,sk0_20)),
% 2.55/0.70 inference(resolution,[status(thm)],[f384,f112])).
% 2.55/0.70 fof(f404,plain,(
% 2.55/0.70 perp(sk0_25,sk0_20,sk0_20,sk0_23)),
% 2.55/0.70 inference(resolution,[status(thm)],[f388,f114])).
% 2.55/0.70 fof(f421,plain,(
% 2.55/0.70 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_23)|para(X0,X1,sk0_20,sk0_25))),
% 2.55/0.70 inference(resolution,[status(thm)],[f117,f384])).
% 2.55/0.70 fof(f470,plain,(
% 2.55/0.70 para(sk0_25,sk0_20,sk0_20,sk0_25)),
% 2.55/0.70 inference(resolution,[status(thm)],[f421,f404])).
% 2.55/0.70 fof(f503,plain,(
% 2.55/0.70 para(sk0_25,sk0_20,sk0_25,sk0_20)),
% 2.55/0.70 inference(resolution,[status(thm)],[f470,f105])).
% 2.55/0.70 fof(f2177,plain,(
% 2.55/0.70 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 2.55/0.70 inference(resolution,[status(thm)],[f189,f144])).
% 2.55/0.70 fof(f2179,plain,(
% 2.55/0.70 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 2.55/0.70 inference(resolution,[status(thm)],[f189,f140])).
% 2.55/0.70 fof(f3486,plain,(
% 2.55/0.70 spl0_269 <=> ~para(X0,X1,X0,X1)),
% 2.55/0.70 introduced(split_symbol_definition)).
% 2.55/0.70 fof(f3487,plain,(
% 2.55/0.70 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_269)),
% 2.55/0.70 inference(component_clause,[status(thm)],[f3486])).
% 2.55/0.70 fof(f3489,plain,(
% 2.55/0.70 spl0_270 <=> para(X2,X3,X2,X3)),
% 2.55/0.70 introduced(split_symbol_definition)).
% 2.55/0.70 fof(f3490,plain,(
% 2.55/0.70 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_270)),
% 2.55/0.70 inference(component_clause,[status(thm)],[f3489])).
% 2.55/0.70 fof(f3492,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 2.55/0.70 inference(resolution,[status(thm)],[f2179,f186])).
% 2.55/0.70 fof(f3493,plain,(
% 2.55/0.70 spl0_269|spl0_270),
% 2.55/0.70 inference(split_clause,[status(thm)],[f3492,f3486,f3489])).
% 2.55/0.70 fof(f3656,plain,(
% 2.55/0.70 $false|~spl0_269),
% 2.55/0.70 inference(backward_subsumption_resolution,[status(thm)],[f503,f3487])).
% 2.55/0.70 fof(f3657,plain,(
% 2.55/0.70 ~spl0_269),
% 2.55/0.70 inference(contradiction_clause,[status(thm)],[f3656])).
% 2.55/0.70 fof(f3669,plain,(
% 2.55/0.70 ![X0,X1]: (coll(X0,X1,X1)|~spl0_270)),
% 2.55/0.70 inference(resolution,[status(thm)],[f3490,f256])).
% 2.55/0.70 fof(f3722,plain,(
% 2.55/0.70 ![X0,X1]: (coll(X0,X1,X0)|~spl0_270)),
% 2.55/0.70 inference(resolution,[status(thm)],[f3669,f100])).
% 2.55/0.70 fof(f3774,plain,(
% 2.55/0.70 ![X0,X1]: (coll(X0,X0,X1)|~spl0_270)),
% 2.55/0.70 inference(resolution,[status(thm)],[f3722,f98])).
% 2.55/0.70 fof(f3787,plain,(
% 2.55/0.70 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_270)),
% 2.55/0.70 inference(resolution,[status(thm)],[f3774,f103])).
% 2.55/0.70 fof(f3788,plain,(
% 2.55/0.70 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_270)),
% 2.55/0.70 inference(forward_subsumption_resolution,[status(thm)],[f3787,f3774])).
% 2.55/0.70 fof(f3795,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_270)),
% 2.55/0.70 inference(backward_subsumption_resolution,[status(thm)],[f195,f3788])).
% 2.55/0.70 fof(f3823,plain,(
% 2.55/0.70 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_270)),
% 2.55/0.70 inference(resolution,[status(thm)],[f3795,f2177])).
% 2.55/0.70 fof(f3824,plain,(
% 2.55/0.70 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_270)),
% 2.55/0.70 inference(forward_subsumption_resolution,[status(thm)],[f3823,f3490])).
% 2.55/0.70 fof(f4472,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_270)),
% 2.55/0.70 inference(resolution,[status(thm)],[f3824,f136])).
% 2.55/0.70 fof(f4473,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_270)),
% 2.55/0.70 inference(forward_subsumption_resolution,[status(thm)],[f4472,f3824])).
% 2.55/0.70 fof(f4481,plain,(
% 2.55/0.70 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X4,X5,X4,X3)|cong(X0,X1,X5,X3)|~spl0_270)),
% 2.55/0.70 inference(backward_subsumption_resolution,[status(thm)],[f198,f4473])).
% 2.55/0.70 fof(f4482,plain,(
% 2.55/0.70 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~eqangle(X2,X0,X2,X1,X3,X4,X3,X5)|cong(X0,X1,X4,X5)|~spl0_270)),
% 2.55/0.70 inference(forward_subsumption_resolution,[status(thm)],[f4481,f4473])).
% 2.55/0.70 fof(f4487,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_270)),
% 2.55/0.70 inference(backward_subsumption_resolution,[status(thm)],[f191,f4473])).
% 2.55/0.70 fof(f4508,plain,(
% 2.55/0.70 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_270)),
% 2.55/0.70 inference(forward_subsumption_resolution,[status(thm)],[f4482,f4473])).
% 2.55/0.70 fof(f4520,plain,(
% 2.55/0.70 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_270)),
% 2.55/0.70 inference(resolution,[status(thm)],[f4487,f4508])).
% 2.55/0.70 fof(f4778,plain,(
% 2.55/0.70 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_270)),
% 2.55/0.70 inference(forward_subsumption_resolution,[status(thm)],[f235,f4473])).
% 2.55/0.70 fof(f4924,plain,(
% 2.55/0.70 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_270)),
% 2.55/0.70 inference(resolution,[status(thm)],[f4520,f4778])).
% 2.55/0.70 fof(f4925,plain,(
% 2.55/0.70 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_270)),
% 2.55/0.70 inference(forward_subsumption_resolution,[status(thm)],[f4924,f4520])).
% 2.55/0.70 fof(f4955,plain,(
% 2.55/0.70 $false|~spl0_270),
% 2.55/0.70 inference(backward_subsumption_resolution,[status(thm)],[f376,f4925])).
% 2.55/0.70 fof(f4956,plain,(
% 2.55/0.70 ~spl0_270),
% 2.55/0.70 inference(contradiction_clause,[status(thm)],[f4955])).
% 2.55/0.70 fof(f4957,plain,(
% 2.55/0.70 $false),
% 2.55/0.70 inference(sat_refutation,[status(thm)],[f3493,f3657,f4956])).
% 2.55/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 2.55/0.72 % Elapsed time: 0.379515 seconds
% 2.55/0.72 % CPU time: 2.800465 seconds
% 2.55/0.72 % Memory used: 70.904 MB
%------------------------------------------------------------------------------