TSTP Solution File: GEO611+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO611+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:09:19 EDT 2023
% Result : Theorem 3.25s 0.82s
% Output : CNFRefutation 3.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO611+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:56:02 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 3.25/0.82 % Refutation found
% 3.25/0.82 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.25/0.82 % SZS output start CNFRefutation for theBenchmark
% 3.25/0.82 fof(f1,axiom,(
% 3.25/0.82 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f2,axiom,(
% 3.25/0.82 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f3,axiom,(
% 3.25/0.82 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f4,axiom,(
% 3.25/0.82 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f5,axiom,(
% 3.25/0.82 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f8,axiom,(
% 3.25/0.82 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f9,axiom,(
% 3.25/0.82 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f17,axiom,(
% 3.25/0.82 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f19,axiom,(
% 3.25/0.82 (! [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) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f20,axiom,(
% 3.25/0.82 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(P,Q,U,V,A,B,C,D) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f21,axiom,(
% 3.25/0.82 (! [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) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f39,axiom,(
% 3.25/0.82 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f40,axiom,(
% 3.25/0.82 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f43,axiom,(
% 3.25/0.82 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f44,axiom,(
% 3.25/0.82 (! [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) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f53,axiom,(
% 3.25/0.82 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f57,axiom,(
% 3.25/0.82 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f58,axiom,(
% 3.25/0.82 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f65,axiom,(
% 3.25/0.82 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f67,axiom,(
% 3.25/0.82 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f68,axiom,(
% 3.25/0.82 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f75,axiom,(
% 3.25/0.82 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& perp(P,Q,U,V) )=> perp(A,B,C,D) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f95,conjecture,(
% 3.25/0.82 (! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2] :( ( circle(D,A,B,C)& circle(D,A,E,NWPNT1)& perp(F,E,A,C)& coll(F,A,C)& perp(G,E,A,B)& coll(G,A,B)& circle(D,E,H,NWPNT2)& coll(H,E,G) )=> para(G,F,H,C) ) )),
% 3.25/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.25/0.82 fof(f96,negated_conjecture,(
% 3.25/0.82 ~((! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2] :( ( circle(D,A,B,C)& circle(D,A,E,NWPNT1)& perp(F,E,A,C)& coll(F,A,C)& perp(G,E,A,B)& coll(G,A,B)& circle(D,E,H,NWPNT2)& coll(H,E,G) )=> para(G,F,H,C) ) ))),
% 3.25/0.82 inference(negated_conjecture,[status(cth)],[f95])).
% 3.25/0.82 fof(f97,plain,(
% 3.25/0.82 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 3.25/0.82 fof(f98,plain,(
% 3.25/0.82 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f97])).
% 3.25/0.82 fof(f99,plain,(
% 3.25/0.82 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 3.25/0.82 fof(f100,plain,(
% 3.25/0.82 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f99])).
% 3.25/0.82 fof(f101,plain,(
% 3.25/0.82 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 3.25/0.82 fof(f102,plain,(
% 3.25/0.82 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 3.25/0.82 inference(miniscoping,[status(esa)],[f101])).
% 3.25/0.82 fof(f103,plain,(
% 3.25/0.82 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f102])).
% 3.25/0.82 fof(f104,plain,(
% 3.25/0.82 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 3.25/0.82 fof(f105,plain,(
% 3.25/0.82 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f104])).
% 3.25/0.82 fof(f106,plain,(
% 3.25/0.82 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 3.25/0.82 fof(f107,plain,(
% 3.25/0.82 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f106])).
% 3.25/0.82 fof(f113,plain,(
% 3.25/0.82 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.25/0.82 fof(f114,plain,(
% 3.25/0.82 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f113])).
% 3.25/0.82 fof(f115,plain,(
% 3.25/0.82 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.25/0.82 fof(f116,plain,(
% 3.25/0.82 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.25/0.82 inference(miniscoping,[status(esa)],[f115])).
% 3.25/0.82 fof(f117,plain,(
% 3.25/0.82 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f116])).
% 3.25/0.82 fof(f134,plain,(
% 3.25/0.82 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.25/0.82 fof(f135,plain,(
% 3.25/0.82 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.25/0.82 inference(miniscoping,[status(esa)],[f134])).
% 3.25/0.82 fof(f136,plain,(
% 3.25/0.82 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f135])).
% 3.25/0.82 fof(f139,plain,(
% 3.25/0.82 ![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))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 3.25/0.82 fof(f140,plain,(
% 3.25/0.82 ![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))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f139])).
% 3.25/0.82 fof(f141,plain,(
% 3.25/0.82 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 3.25/0.82 fof(f142,plain,(
% 3.25/0.82 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X4,X5,X6,X7,X0,X1,X2,X3))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f141])).
% 3.25/0.82 fof(f143,plain,(
% 3.25/0.82 ![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))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 3.25/0.82 fof(f144,plain,(
% 3.25/0.82 ![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))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f143])).
% 3.25/0.82 fof(f184,plain,(
% 3.25/0.82 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 3.25/0.82 fof(f185,plain,(
% 3.25/0.82 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 3.25/0.82 inference(miniscoping,[status(esa)],[f184])).
% 3.25/0.82 fof(f186,plain,(
% 3.25/0.82 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 3.25/0.82 inference(cnf_transformation,[status(esa)],[f185])).
% 3.25/0.82 fof(f187,plain,(
% 3.25/0.82 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.25/0.82 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 3.25/0.82 fof(f188,plain,(
% 3.25/0.82 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.25/0.82 inference(miniscoping,[status(esa)],[f187])).
% 3.25/0.82 fof(f189,plain,(
% 3.25/0.83 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f188])).
% 3.25/0.83 fof(f194,plain,(
% 3.25/0.83 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.25/0.83 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 3.25/0.83 fof(f195,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f194])).
% 3.25/0.83 fof(f196,plain,(
% 3.25/0.83 ![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))),
% 3.25/0.83 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 3.25/0.83 fof(f197,plain,(
% 3.25/0.83 ![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))),
% 3.25/0.83 inference(miniscoping,[status(esa)],[f196])).
% 3.25/0.83 fof(f198,plain,(
% 3.25/0.83 ![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))),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f197])).
% 3.25/0.83 fof(f220,plain,(
% 3.25/0.83 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 3.25/0.83 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 3.25/0.83 fof(f221,plain,(
% 3.25/0.83 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 3.25/0.83 inference(miniscoping,[status(esa)],[f220])).
% 3.25/0.83 fof(f222,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f221])).
% 3.25/0.83 fof(f231,plain,(
% 3.25/0.83 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 3.25/0.83 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 3.25/0.83 fof(f232,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f231])).
% 3.25/0.83 fof(f233,plain,(
% 3.25/0.83 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 3.25/0.83 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 3.25/0.83 fof(f234,plain,(
% 3.25/0.83 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 3.25/0.83 inference(miniscoping,[status(esa)],[f233])).
% 3.25/0.83 fof(f235,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f234])).
% 3.25/0.83 fof(f250,plain,(
% 3.25/0.83 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 3.25/0.83 inference(pre_NNF_transformation,[status(esa)],[f65])).
% 3.25/0.83 fof(f251,plain,(
% 3.25/0.83 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 3.25/0.83 inference(miniscoping,[status(esa)],[f250])).
% 3.25/0.83 fof(f252,plain,(
% 3.25/0.83 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f251])).
% 3.25/0.83 fof(f255,plain,(
% 3.25/0.83 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 3.25/0.83 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 3.25/0.83 fof(f256,plain,(
% 3.25/0.83 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f255])).
% 3.25/0.83 fof(f257,plain,(
% 3.25/0.83 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 3.25/0.83 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 3.25/0.83 fof(f258,plain,(
% 3.25/0.83 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f257])).
% 3.25/0.83 fof(f272,plain,(
% 3.25/0.83 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V))|perp(A,B,C,D))),
% 3.25/0.83 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 3.25/0.83 fof(f273,plain,(
% 3.25/0.83 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~perp(P,Q,U,V)))|perp(A,B,C,D))),
% 3.25/0.83 inference(miniscoping,[status(esa)],[f272])).
% 3.25/0.83 fof(f274,plain,(
% 3.25/0.83 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~perp(X4,X5,X6,X7)|perp(X0,X1,X2,X3))),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f273])).
% 3.25/0.83 fof(f369,plain,(
% 3.25/0.83 (?[A,B,C,D,E,F,G,H,NWPNT1,NWPNT2]: ((((((((circle(D,A,B,C)&circle(D,A,E,NWPNT1))&perp(F,E,A,C))&coll(F,A,C))&perp(G,E,A,B))&coll(G,A,B))&circle(D,E,H,NWPNT2))&coll(H,E,G))&~para(G,F,H,C)))),
% 3.25/0.83 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 3.25/0.83 fof(f370,plain,(
% 3.25/0.83 ?[C,F,G,H]: ((?[E]: ((?[D]: ((?[A,B]: (((((circle(D,A,B,C)&(?[NWPNT1]: circle(D,A,E,NWPNT1)))&perp(F,E,A,C))&coll(F,A,C))&perp(G,E,A,B))&coll(G,A,B)))&(?[NWPNT2]: circle(D,E,H,NWPNT2))))&coll(H,E,G)))&~para(G,F,H,C))),
% 3.25/0.83 inference(miniscoping,[status(esa)],[f369])).
% 3.25/0.83 fof(f371,plain,(
% 3.25/0.83 ((((((((circle(sk0_25,sk0_26,sk0_27,sk0_20)&circle(sk0_25,sk0_26,sk0_24,sk0_28))&perp(sk0_21,sk0_24,sk0_26,sk0_20))&coll(sk0_21,sk0_26,sk0_20))&perp(sk0_22,sk0_24,sk0_26,sk0_27))&coll(sk0_22,sk0_26,sk0_27))&circle(sk0_25,sk0_24,sk0_23,sk0_29))&coll(sk0_23,sk0_24,sk0_22))&~para(sk0_22,sk0_21,sk0_23,sk0_20))),
% 3.25/0.83 inference(skolemization,[status(esa)],[f370])).
% 3.25/0.83 fof(f374,plain,(
% 3.25/0.83 perp(sk0_21,sk0_24,sk0_26,sk0_20)),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f371])).
% 3.25/0.83 fof(f380,plain,(
% 3.25/0.83 ~para(sk0_22,sk0_21,sk0_23,sk0_20)),
% 3.25/0.83 inference(cnf_transformation,[status(esa)],[f371])).
% 3.25/0.83 fof(f436,plain,(
% 3.25/0.83 perp(sk0_26,sk0_20,sk0_21,sk0_24)),
% 3.25/0.83 inference(resolution,[status(thm)],[f114,f374])).
% 3.25/0.83 fof(f438,plain,(
% 3.25/0.83 ![X0,X1]: (~perp(sk0_26,sk0_20,X0,X1)|para(sk0_21,sk0_24,X0,X1))),
% 3.25/0.83 inference(resolution,[status(thm)],[f117,f374])).
% 3.25/0.83 fof(f649,plain,(
% 3.25/0.83 para(sk0_21,sk0_24,sk0_21,sk0_24)),
% 3.25/0.83 inference(resolution,[status(thm)],[f438,f436])).
% 3.25/0.83 fof(f922,plain,(
% 3.25/0.83 ![X0,X1]: (eqangle(sk0_21,sk0_24,X0,X1,sk0_21,sk0_24,X0,X1))),
% 3.25/0.83 inference(resolution,[status(thm)],[f649,f189])).
% 3.25/0.83 fof(f1774,plain,(
% 3.25/0.83 ![X0,X1]: (eqangle(X0,X1,sk0_21,sk0_24,X0,X1,sk0_21,sk0_24))),
% 3.25/0.83 inference(resolution,[status(thm)],[f922,f140])).
% 3.25/0.83 fof(f3085,plain,(
% 3.25/0.83 ![X0,X1]: (para(X0,X1,X0,X1))),
% 3.25/0.83 inference(resolution,[status(thm)],[f1774,f186])).
% 3.25/0.83 fof(f3088,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X2,X3))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3085,f189])).
% 3.25/0.83 fof(f3090,plain,(
% 3.25/0.83 ![X0,X1]: (coll(X0,X1,X1))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3085,f256])).
% 3.25/0.83 fof(f3091,plain,(
% 3.25/0.83 ![X0,X1]: (para(X0,X1,X1,X0))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3085,f105])).
% 3.25/0.83 fof(f3297,plain,(
% 3.25/0.83 ![X0,X1]: (coll(X0,X1,X0))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3090,f100])).
% 3.25/0.83 fof(f3459,plain,(
% 3.25/0.83 ![X0,X1]: (coll(X0,X0,X1))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3297,f98])).
% 3.25/0.83 fof(f3502,plain,(
% 3.25/0.83 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X2,X1,X0))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3459,f103])).
% 3.25/0.83 fof(f3503,plain,(
% 3.25/0.83 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 3.25/0.83 inference(forward_subsumption_resolution,[status(thm)],[f3502,f3459])).
% 3.25/0.83 fof(f3518,plain,(
% 3.25/0.83 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 3.25/0.83 inference(backward_subsumption_resolution,[status(thm)],[f258,f3503])).
% 3.25/0.83 fof(f3521,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.25/0.83 inference(backward_subsumption_resolution,[status(thm)],[f195,f3503])).
% 3.25/0.83 fof(f3524,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3091,f189])).
% 3.25/0.83 fof(f3679,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X2,X3))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3088,f144])).
% 3.25/0.83 fof(f3688,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X0,X2,X3,X2,X3))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3524,f144])).
% 3.25/0.83 fof(f3717,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X3,X2))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3688,f142])).
% 3.25/0.83 fof(f4010,plain,(
% 3.25/0.83 spl0_79 <=> ~perp(X0,X1,X0,X1)),
% 3.25/0.83 introduced(split_symbol_definition)).
% 3.25/0.83 fof(f4011,plain,(
% 3.25/0.83 ![X0,X1]: (~perp(X0,X1,X0,X1)|~spl0_79)),
% 3.25/0.83 inference(component_clause,[status(thm)],[f4010])).
% 3.25/0.83 fof(f4013,plain,(
% 3.25/0.83 spl0_80 <=> perp(X2,X3,X3,X2)),
% 3.25/0.83 introduced(split_symbol_definition)).
% 3.25/0.83 fof(f4014,plain,(
% 3.25/0.83 ![X0,X1]: (perp(X0,X1,X1,X0)|~spl0_80)),
% 3.25/0.83 inference(component_clause,[status(thm)],[f4013])).
% 3.25/0.83 fof(f4016,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (~perp(X0,X1,X0,X1)|perp(X2,X3,X3,X2))),
% 3.25/0.83 inference(resolution,[status(thm)],[f274,f3688])).
% 3.25/0.83 fof(f4017,plain,(
% 3.25/0.83 spl0_79|spl0_80),
% 3.25/0.83 inference(split_clause,[status(thm)],[f4016,f4010,f4013])).
% 3.25/0.83 fof(f4142,plain,(
% 3.25/0.83 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X2)|cong(X0,X0,X2,X2))),
% 3.25/0.83 inference(resolution,[status(thm)],[f198,f3717])).
% 3.25/0.83 fof(f4143,plain,(
% 3.25/0.83 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X2)|cong(X0,X0,X2,X2))),
% 3.25/0.83 inference(duplicate_literals_removal,[status(esa)],[f4142])).
% 3.25/0.83 fof(f4152,plain,(
% 3.25/0.83 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X1)|~cyclic(X0,X1,X2,X2)|cong(X0,X1,X0,X1))),
% 3.25/0.83 inference(resolution,[status(thm)],[f198,f3088])).
% 3.25/0.83 fof(f4190,plain,(
% 3.25/0.83 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0)|~spl0_80)),
% 3.25/0.83 inference(resolution,[status(thm)],[f4014,f222])).
% 3.25/0.83 fof(f4326,plain,(
% 3.25/0.83 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3521,f3679])).
% 3.25/0.83 fof(f4328,plain,(
% 3.25/0.83 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2))),
% 3.25/0.83 inference(resolution,[status(thm)],[f3521,f3088])).
% 3.25/0.83 fof(f4330,plain,(
% 3.25/0.83 ![X0,X1]: (cong(X0,X0,X1,X1))),
% 3.25/0.83 inference(backward_subsumption_resolution,[status(thm)],[f4143,f4326])).
% 3.25/0.83 fof(f4332,plain,(
% 3.25/0.83 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X0)|~cyclic(X0,X1,X2,X1)|cong(X0,X1,X0,X1))),
% 3.25/0.83 inference(backward_subsumption_resolution,[status(thm)],[f4152,f4328])).
% 3.25/0.83 fof(f4343,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X3,X2))),
% 3.25/0.83 inference(resolution,[status(thm)],[f4326,f136])).
% 3.25/0.83 fof(f4344,plain,(
% 3.25/0.83 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 3.25/0.83 inference(forward_subsumption_resolution,[status(thm)],[f4343,f4326])).
% 3.25/0.84 fof(f4352,plain,(
% 3.25/0.84 ![X0,X1,X2]: (~cyclic(X0,X1,X2,X1)|cong(X0,X1,X0,X1))),
% 3.25/0.84 inference(backward_subsumption_resolution,[status(thm)],[f4332,f4344])).
% 3.25/0.84 fof(f4353,plain,(
% 3.25/0.84 ![X0,X1]: (cong(X0,X1,X0,X1))),
% 3.25/0.84 inference(forward_subsumption_resolution,[status(thm)],[f4352,f4344])).
% 3.25/0.84 fof(f4358,plain,(
% 3.25/0.84 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3))),
% 3.25/0.84 inference(backward_subsumption_resolution,[status(thm)],[f235,f4344])).
% 3.25/0.84 fof(f4359,plain,(
% 3.25/0.84 ![X0,X1]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X0,X1))),
% 3.25/0.84 inference(resolution,[status(thm)],[f4330,f4358])).
% 3.25/0.84 fof(f4360,plain,(
% 3.25/0.84 ![X0,X1]: (perp(X0,X0,X0,X1))),
% 3.25/0.84 inference(forward_subsumption_resolution,[status(thm)],[f4359,f4353])).
% 3.25/0.84 fof(f4362,plain,(
% 3.25/0.84 ![X0]: (midp(X0,X0,X0))),
% 3.25/0.84 inference(resolution,[status(thm)],[f4330,f3518])).
% 3.25/0.84 fof(f4377,plain,(
% 3.25/0.84 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|~para(X0,X2,X0,X1)|midp(X0,X1,X2))),
% 3.25/0.84 inference(resolution,[status(thm)],[f4362,f252])).
% 3.25/0.84 fof(f4378,plain,(
% 3.25/0.84 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 3.25/0.84 inference(forward_subsumption_resolution,[status(thm)],[f4377,f107])).
% 3.25/0.84 fof(f4392,plain,(
% 3.25/0.84 $false|~spl0_79),
% 3.25/0.84 inference(resolution,[status(thm)],[f4360,f4011])).
% 3.25/0.84 fof(f4393,plain,(
% 3.25/0.84 ~spl0_79),
% 3.25/0.84 inference(contradiction_clause,[status(thm)],[f4392])).
% 3.25/0.84 fof(f4516,plain,(
% 3.25/0.84 ![X0,X1]: (midp(X0,X1,X1))),
% 3.25/0.84 inference(resolution,[status(thm)],[f4378,f3085])).
% 3.25/0.84 fof(f4517,plain,(
% 3.25/0.84 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_80)),
% 3.25/0.84 inference(backward_subsumption_resolution,[status(thm)],[f4190,f4516])).
% 3.25/0.84 fof(f4520,plain,(
% 3.25/0.84 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_80)),
% 3.25/0.84 inference(backward_subsumption_resolution,[status(thm)],[f232,f4517])).
% 3.25/0.84 fof(f4521,plain,(
% 3.25/0.84 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_80)),
% 3.25/0.84 inference(forward_subsumption_resolution,[status(thm)],[f4520,f4517])).
% 3.25/0.84 fof(f4531,plain,(
% 3.25/0.84 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3)|~spl0_80)),
% 3.25/0.84 inference(backward_subsumption_resolution,[status(thm)],[f117,f4521])).
% 3.25/0.84 fof(f4532,plain,(
% 3.25/0.84 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_80)),
% 3.25/0.84 inference(forward_subsumption_resolution,[status(thm)],[f4531,f4521])).
% 3.25/0.84 fof(f4577,plain,(
% 3.25/0.84 $false|~spl0_80),
% 3.25/0.84 inference(backward_subsumption_resolution,[status(thm)],[f380,f4532])).
% 3.25/0.84 fof(f4578,plain,(
% 3.25/0.84 ~spl0_80),
% 3.25/0.84 inference(contradiction_clause,[status(thm)],[f4577])).
% 3.25/0.84 fof(f4579,plain,(
% 3.25/0.84 $false),
% 3.25/0.84 inference(sat_refutation,[status(thm)],[f4017,f4393,f4578])).
% 3.25/0.84 % SZS output end CNFRefutation for theBenchmark.p
% 3.25/0.85 % Elapsed time: 0.538750 seconds
% 3.25/0.85 % CPU time: 3.641164 seconds
% 3.25/0.85 % Memory used: 84.199 MB
%------------------------------------------------------------------------------