TSTP Solution File: GEO634+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO634+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:09:23 EDT 2023
% Result : Theorem 11.30s 1.96s
% Output : CNFRefutation 11.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO634+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n019.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 12:02:25 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 11.30/1.96 % Refutation found
% 11.30/1.96 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.30/1.96 % SZS output start CNFRefutation for theBenchmark
% 11.30/1.96 fof(f1,axiom,(
% 11.30/1.96 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f2,axiom,(
% 11.30/1.96 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f3,axiom,(
% 11.30/1.96 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f7,axiom,(
% 11.30/1.96 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f8,axiom,(
% 11.30/1.96 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f9,axiom,(
% 11.30/1.96 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f10,axiom,(
% 11.30/1.96 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f17,axiom,(
% 11.30/1.96 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f19,axiom,(
% 11.30/1.96 (! [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) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f21,axiom,(
% 11.30/1.96 (! [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) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f39,axiom,(
% 11.30/1.96 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f40,axiom,(
% 11.30/1.96 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f41,axiom,(
% 11.30/1.96 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f43,axiom,(
% 11.30/1.96 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f44,axiom,(
% 11.30/1.96 (! [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) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f58,axiom,(
% 11.30/1.96 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f67,axiom,(
% 11.30/1.96 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f91,axiom,(
% 11.30/1.96 (! [A,B,C,E,F] :(? [P] :( ( perp(A,C,C,B)& coll(B,E,F) )=> ( coll(P,E,F)& perp(P,A,E,F) ) ) ))),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f95,conjecture,(
% 11.30/1.96 (! [A,B,C,O,A1,P,Q,S,D,G,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& midp(A1,C,B)& circle(O,A,P,NWPNT1)& coll(P,A,A1)& eqangle(Q,A,A,B,C,A,A,A1)& circle(O,A,Q,NWPNT2)& coll(S,B,C)& coll(S,A,Q)& perp(D,Q,B,C)& coll(D,B,C)& perp(G,Q,A,B)& coll(G,A,B) )=> perp(D,G,P,A) ) )),
% 11.30/1.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.30/1.96 fof(f96,negated_conjecture,(
% 11.30/1.96 ~((! [A,B,C,O,A1,P,Q,S,D,G,NWPNT1,NWPNT2] :( ( circle(O,A,B,C)& midp(A1,C,B)& circle(O,A,P,NWPNT1)& coll(P,A,A1)& eqangle(Q,A,A,B,C,A,A,A1)& circle(O,A,Q,NWPNT2)& coll(S,B,C)& coll(S,A,Q)& perp(D,Q,B,C)& coll(D,B,C)& perp(G,Q,A,B)& coll(G,A,B) )=> perp(D,G,P,A) ) ))),
% 11.30/1.96 inference(negated_conjecture,[status(cth)],[f95])).
% 11.30/1.96 fof(f97,plain,(
% 11.30/1.96 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 11.30/1.96 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 11.30/1.96 fof(f98,plain,(
% 11.30/1.96 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 11.30/1.96 inference(cnf_transformation,[status(esa)],[f97])).
% 11.30/1.96 fof(f99,plain,(
% 11.30/1.96 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 11.30/1.96 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 11.30/1.96 fof(f100,plain,(
% 11.30/1.96 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 11.30/1.96 inference(cnf_transformation,[status(esa)],[f99])).
% 11.30/1.96 fof(f101,plain,(
% 11.30/1.96 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 11.30/1.97 fof(f102,plain,(
% 11.30/1.97 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 11.30/1.97 inference(miniscoping,[status(esa)],[f101])).
% 11.30/1.97 fof(f103,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f102])).
% 11.30/1.97 fof(f111,plain,(
% 11.30/1.97 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 11.30/1.97 fof(f112,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f111])).
% 11.30/1.97 fof(f113,plain,(
% 11.30/1.97 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 11.30/1.97 fof(f114,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f113])).
% 11.30/1.97 fof(f115,plain,(
% 11.30/1.97 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 11.30/1.97 fof(f116,plain,(
% 11.30/1.97 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 11.30/1.97 inference(miniscoping,[status(esa)],[f115])).
% 11.30/1.97 fof(f117,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f116])).
% 11.30/1.97 fof(f118,plain,(
% 11.30/1.97 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 11.30/1.97 fof(f119,plain,(
% 11.30/1.97 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 11.30/1.97 inference(miniscoping,[status(esa)],[f118])).
% 11.30/1.97 fof(f120,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f119])).
% 11.30/1.97 fof(f134,plain,(
% 11.30/1.97 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 11.30/1.97 fof(f135,plain,(
% 11.30/1.97 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 11.30/1.97 inference(miniscoping,[status(esa)],[f134])).
% 11.30/1.97 fof(f136,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f135])).
% 11.30/1.97 fof(f139,plain,(
% 11.30/1.97 ![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))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 11.30/1.97 fof(f140,plain,(
% 11.30/1.97 ![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))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f139])).
% 11.30/1.97 fof(f143,plain,(
% 11.30/1.97 ![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))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 11.30/1.97 fof(f144,plain,(
% 11.30/1.97 ![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))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f143])).
% 11.30/1.97 fof(f184,plain,(
% 11.30/1.97 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 11.30/1.97 fof(f185,plain,(
% 11.30/1.97 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 11.30/1.97 inference(miniscoping,[status(esa)],[f184])).
% 11.30/1.97 fof(f186,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f185])).
% 11.30/1.97 fof(f187,plain,(
% 11.30/1.97 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 11.30/1.97 fof(f188,plain,(
% 11.30/1.97 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 11.30/1.97 inference(miniscoping,[status(esa)],[f187])).
% 11.30/1.97 fof(f189,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f188])).
% 11.30/1.97 fof(f190,plain,(
% 11.30/1.97 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 11.30/1.97 fof(f191,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f190])).
% 11.30/1.97 fof(f194,plain,(
% 11.30/1.97 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 11.30/1.97 fof(f195,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f194])).
% 11.30/1.97 fof(f196,plain,(
% 11.30/1.97 ![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))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 11.30/1.97 fof(f197,plain,(
% 11.30/1.97 ![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))),
% 11.30/1.97 inference(miniscoping,[status(esa)],[f196])).
% 11.30/1.97 fof(f198,plain,(
% 11.30/1.97 ![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))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f197])).
% 11.30/1.97 fof(f233,plain,(
% 11.30/1.97 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 11.30/1.97 fof(f234,plain,(
% 11.30/1.97 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 11.30/1.97 inference(miniscoping,[status(esa)],[f233])).
% 11.30/1.97 fof(f235,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f234])).
% 11.30/1.97 fof(f255,plain,(
% 11.30/1.97 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 11.30/1.97 fof(f256,plain,(
% 11.30/1.97 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f255])).
% 11.30/1.97 fof(f350,plain,(
% 11.30/1.97 ![A,B,C,E,F]: (?[P]: ((~perp(A,C,C,B)|~coll(B,E,F))|(coll(P,E,F)&perp(P,A,E,F))))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 11.30/1.97 fof(f351,plain,(
% 11.30/1.97 ![A,E,F]: ((![B]: ((![C]: ~perp(A,C,C,B))|~coll(B,E,F)))|(?[P]: (coll(P,E,F)&perp(P,A,E,F))))),
% 11.30/1.97 inference(miniscoping,[status(esa)],[f350])).
% 11.30/1.97 fof(f352,plain,(
% 11.30/1.97 ![A,E,F]: ((![B]: ((![C]: ~perp(A,C,C,B))|~coll(B,E,F)))|(coll(sk0_16(F,E,A),E,F)&perp(sk0_16(F,E,A),A,E,F)))),
% 11.30/1.97 inference(skolemization,[status(esa)],[f351])).
% 11.30/1.97 fof(f354,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X1,X2)|~coll(X2,X3,X4)|perp(sk0_16(X4,X3,X0),X0,X3,X4))),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f352])).
% 11.30/1.97 fof(f369,plain,(
% 11.30/1.97 (?[A,B,C,O,A1,P,Q,S,D,G,NWPNT1,NWPNT2]: ((((((((((((circle(O,A,B,C)&midp(A1,C,B))&circle(O,A,P,NWPNT1))&coll(P,A,A1))&eqangle(Q,A,A,B,C,A,A,A1))&circle(O,A,Q,NWPNT2))&coll(S,B,C))&coll(S,A,Q))&perp(D,Q,B,C))&coll(D,B,C))&perp(G,Q,A,B))&coll(G,A,B))&~perp(D,G,P,A)))),
% 11.30/1.97 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 11.30/1.97 fof(f370,plain,(
% 11.30/1.97 ?[A,P,D,G]: ((?[B]: ((?[Q]: ((?[C]: (((?[S]: (((?[O]: ((?[A1]: ((((circle(O,A,B,C)&midp(A1,C,B))&(?[NWPNT1]: circle(O,A,P,NWPNT1)))&coll(P,A,A1))&eqangle(Q,A,A,B,C,A,A,A1)))&(?[NWPNT2]: circle(O,A,Q,NWPNT2))))&coll(S,B,C))&coll(S,A,Q)))&perp(D,Q,B,C))&coll(D,B,C)))&perp(G,Q,A,B)))&coll(G,A,B)))&~perp(D,G,P,A))),
% 11.30/1.97 inference(miniscoping,[status(esa)],[f369])).
% 11.30/1.97 fof(f371,plain,(
% 11.30/1.97 ((((((((((((circle(sk0_28,sk0_20,sk0_24,sk0_26)&midp(sk0_29,sk0_26,sk0_24))&circle(sk0_28,sk0_20,sk0_21,sk0_30))&coll(sk0_21,sk0_20,sk0_29))&eqangle(sk0_25,sk0_20,sk0_20,sk0_24,sk0_26,sk0_20,sk0_20,sk0_29))&circle(sk0_28,sk0_20,sk0_25,sk0_31))&coll(sk0_27,sk0_24,sk0_26))&coll(sk0_27,sk0_20,sk0_25))&perp(sk0_22,sk0_25,sk0_24,sk0_26))&coll(sk0_22,sk0_24,sk0_26))&perp(sk0_23,sk0_25,sk0_20,sk0_24))&coll(sk0_23,sk0_20,sk0_24))&~perp(sk0_22,sk0_23,sk0_21,sk0_20))),
% 11.30/1.97 inference(skolemization,[status(esa)],[f370])).
% 11.30/1.97 fof(f380,plain,(
% 11.30/1.97 perp(sk0_22,sk0_25,sk0_24,sk0_26)),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f371])).
% 11.30/1.97 fof(f384,plain,(
% 11.30/1.97 ~perp(sk0_22,sk0_23,sk0_21,sk0_20)),
% 11.30/1.97 inference(cnf_transformation,[status(esa)],[f371])).
% 11.30/1.97 fof(f578,plain,(
% 11.30/1.97 perp(sk0_24,sk0_26,sk0_22,sk0_25)),
% 11.30/1.97 inference(resolution,[status(thm)],[f114,f380])).
% 11.30/1.97 fof(f613,plain,(
% 11.30/1.97 ![X0,X1]: (~perp(X0,X1,sk0_24,sk0_26)|para(X0,X1,sk0_22,sk0_25))),
% 11.30/1.97 inference(resolution,[status(thm)],[f117,f578])).
% 11.30/1.97 fof(f927,plain,(
% 11.30/1.97 para(sk0_22,sk0_25,sk0_22,sk0_25)),
% 11.30/1.97 inference(resolution,[status(thm)],[f613,f380])).
% 11.30/1.97 fof(f2195,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 11.30/1.97 inference(resolution,[status(thm)],[f189,f144])).
% 11.30/1.97 fof(f2197,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 11.30/1.97 inference(resolution,[status(thm)],[f189,f140])).
% 11.30/1.97 fof(f10075,plain,(
% 11.30/1.97 spl0_592 <=> ~para(X4,X5,X4,X5)),
% 11.30/1.97 introduced(split_symbol_definition)).
% 11.30/1.97 fof(f10076,plain,(
% 11.30/1.97 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_592)),
% 11.30/1.97 inference(component_clause,[status(thm)],[f10075])).
% 11.30/1.97 fof(f10511,plain,(
% 11.30/1.97 $false|~spl0_592),
% 11.30/1.97 inference(backward_subsumption_resolution,[status(thm)],[f927,f10076])).
% 11.30/1.97 fof(f10512,plain,(
% 11.30/1.97 ~spl0_592),
% 11.30/1.97 inference(contradiction_clause,[status(thm)],[f10511])).
% 11.30/1.97 fof(f10870,plain,(
% 11.30/1.97 spl0_622 <=> para(X2,X3,X2,X3)),
% 11.30/1.97 introduced(split_symbol_definition)).
% 11.30/1.97 fof(f10871,plain,(
% 11.30/1.97 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_622)),
% 11.30/1.97 inference(component_clause,[status(thm)],[f10870])).
% 11.30/1.97 fof(f10873,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 11.30/1.97 inference(resolution,[status(thm)],[f2197,f186])).
% 11.30/1.97 fof(f10874,plain,(
% 11.30/1.97 spl0_592|spl0_622),
% 11.30/1.97 inference(split_clause,[status(thm)],[f10873,f10075,f10870])).
% 11.30/1.97 fof(f11354,plain,(
% 11.30/1.97 ![X0,X1]: (coll(X0,X1,X1)|~spl0_622)),
% 11.30/1.97 inference(resolution,[status(thm)],[f10871,f256])).
% 11.30/1.97 fof(f11540,plain,(
% 11.30/1.97 ![X0,X1]: (coll(X0,X1,X0)|~spl0_622)),
% 11.30/1.97 inference(resolution,[status(thm)],[f11354,f100])).
% 11.30/1.97 fof(f11725,plain,(
% 11.30/1.97 ![X0,X1]: (coll(X0,X0,X1)|~spl0_622)),
% 11.30/1.97 inference(resolution,[status(thm)],[f11540,f98])).
% 11.30/1.97 fof(f11759,plain,(
% 11.30/1.97 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_622)),
% 11.30/1.97 inference(resolution,[status(thm)],[f11725,f103])).
% 11.30/1.97 fof(f11760,plain,(
% 11.30/1.97 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_622)),
% 11.30/1.97 inference(forward_subsumption_resolution,[status(thm)],[f11759,f11725])).
% 11.30/1.97 fof(f11764,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,X1,X2)|perp(sk0_16(X3,X4,X0),X0,X4,X3)|~spl0_622)),
% 11.30/1.97 inference(backward_subsumption_resolution,[status(thm)],[f354,f11760])).
% 11.30/1.97 fof(f11771,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_622)),
% 11.30/1.97 inference(backward_subsumption_resolution,[status(thm)],[f195,f11760])).
% 11.30/1.97 fof(f11817,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4,X5,X6]: (~perp(X0,X1,X1,X2)|~para(X3,X4,sk0_16(X5,X6,X0),X0)|perp(X3,X4,X6,X5)|~spl0_622)),
% 11.30/1.97 inference(resolution,[status(thm)],[f11764,f120])).
% 11.30/1.97 fof(f11818,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4,X5,X6]: (~perp(X0,X1,X1,X2)|~perp(X3,X4,sk0_16(X5,X6,X0),X0)|para(X3,X4,X6,X5)|~spl0_622)),
% 11.30/1.97 inference(resolution,[status(thm)],[f11764,f117])).
% 11.30/1.97 fof(f12008,plain,(
% 11.30/1.97 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_622)),
% 11.30/1.97 inference(resolution,[status(thm)],[f11771,f2195])).
% 11.30/1.97 fof(f12009,plain,(
% 11.30/1.97 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_622)),
% 11.30/1.97 inference(forward_subsumption_resolution,[status(thm)],[f12008,f10871])).
% 11.30/1.97 fof(f12037,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_622)),
% 11.30/1.97 inference(resolution,[status(thm)],[f12009,f136])).
% 11.30/1.97 fof(f12038,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_622)),
% 11.30/1.97 inference(forward_subsumption_resolution,[status(thm)],[f12037,f12009])).
% 11.30/1.97 fof(f12052,plain,(
% 11.30/1.97 ![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_622)),
% 11.30/1.97 inference(backward_subsumption_resolution,[status(thm)],[f198,f12038])).
% 11.30/1.97 fof(f12053,plain,(
% 11.30/1.97 ![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_622)),
% 11.30/1.97 inference(forward_subsumption_resolution,[status(thm)],[f12052,f12038])).
% 11.30/1.97 fof(f12054,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_622)),
% 11.30/1.97 inference(backward_subsumption_resolution,[status(thm)],[f191,f12038])).
% 11.30/1.97 fof(f12064,plain,(
% 11.30/1.97 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_622)),
% 11.30/1.97 inference(backward_subsumption_resolution,[status(thm)],[f235,f12038])).
% 11.30/1.97 fof(f12465,plain,(
% 11.30/1.97 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_622)),
% 11.30/1.97 inference(forward_subsumption_resolution,[status(thm)],[f12053,f12038])).
% 11.30/1.97 fof(f12671,plain,(
% 11.30/1.97 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_622)),
% 11.30/1.97 inference(resolution,[status(thm)],[f12054,f12465])).
% 11.30/1.97 fof(f12697,plain,(
% 11.30/1.97 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_622)),
% 11.30/1.98 inference(resolution,[status(thm)],[f12671,f12064])).
% 11.30/1.98 fof(f12698,plain,(
% 11.30/1.98 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_622)),
% 11.30/1.98 inference(forward_subsumption_resolution,[status(thm)],[f12697,f12671])).
% 11.30/1.98 fof(f12756,plain,(
% 11.30/1.98 ![X0,X1,X2]: (perp(X0,X1,X2,X1)|~spl0_622)),
% 11.30/1.98 inference(resolution,[status(thm)],[f12698,f112])).
% 11.30/1.98 fof(f13217,plain,(
% 11.30/1.98 ![X0,X1,X2,X3,X4]: (~para(X0,X1,sk0_16(X2,X3,X4),X4)|perp(X0,X1,X3,X2)|~spl0_622)),
% 11.30/1.98 inference(forward_subsumption_resolution,[status(thm)],[f11817,f12698])).
% 11.30/1.98 fof(f13276,plain,(
% 11.30/1.98 ![X0,X1,X2,X3,X4]: (~perp(X0,X1,sk0_16(X2,X3,X4),X4)|para(X0,X1,X3,X2)|~spl0_622)),
% 11.30/1.98 inference(forward_subsumption_resolution,[status(thm)],[f11818,f12698])).
% 11.30/1.98 fof(f13281,plain,(
% 11.30/1.98 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_622)),
% 11.30/1.98 inference(resolution,[status(thm)],[f13276,f12756])).
% 11.30/1.98 fof(f13315,plain,(
% 11.30/1.98 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_622)),
% 11.30/1.98 inference(backward_subsumption_resolution,[status(thm)],[f13217,f13281])).
% 11.30/1.98 fof(f13386,plain,(
% 11.30/1.98 $false|~spl0_622),
% 11.30/1.98 inference(backward_subsumption_resolution,[status(thm)],[f384,f13315])).
% 11.30/1.98 fof(f13387,plain,(
% 11.30/1.98 ~spl0_622),
% 11.30/1.98 inference(contradiction_clause,[status(thm)],[f13386])).
% 11.30/1.98 fof(f13388,plain,(
% 11.30/1.98 $false),
% 11.30/1.98 inference(sat_refutation,[status(thm)],[f10512,f10874,f13387])).
% 11.30/1.98 % SZS output end CNFRefutation for theBenchmark.p
% 11.80/2.01 % Elapsed time: 1.686158 seconds
% 11.80/2.01 % CPU time: 11.883839 seconds
% 11.80/2.01 % Memory used: 129.143 MB
%------------------------------------------------------------------------------