TSTP Solution File: GEO614+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO614+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 7.98s 1.40s
% Output : CNFRefutation 7.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO614+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 : n008.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 12:05:08 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 7.98/1.40 % Refutation found
% 7.98/1.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.98/1.40 % SZS output start CNFRefutation for theBenchmark
% 7.98/1.40 fof(f1,axiom,(
% 7.98/1.40 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f2,axiom,(
% 7.98/1.40 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f3,axiom,(
% 7.98/1.40 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f7,axiom,(
% 7.98/1.40 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f8,axiom,(
% 7.98/1.40 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f9,axiom,(
% 7.98/1.40 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f11,axiom,(
% 7.98/1.40 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f17,axiom,(
% 7.98/1.40 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f19,axiom,(
% 7.98/1.40 (! [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) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f21,axiom,(
% 7.98/1.40 (! [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) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f39,axiom,(
% 7.98/1.40 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f40,axiom,(
% 7.98/1.40 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f41,axiom,(
% 7.98/1.40 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f43,axiom,(
% 7.98/1.40 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f44,axiom,(
% 7.98/1.40 (! [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) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f54,axiom,(
% 7.98/1.40 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f58,axiom,(
% 7.98/1.40 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f67,axiom,(
% 7.98/1.40 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f70,axiom,(
% 7.98/1.40 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f95,conjecture,(
% 7.98/1.40 (! [A,B,C,O,G,E,K,H,N,NWPNT1] :( ( circle(O,A,B,C)& midp(G,C,B)& coll(E,O,G)& circle(O,A,E,NWPNT1)& perp(K,E,A,B)& coll(K,A,B)& perp(H,A,O,G)& coll(H,O,G)& circle(N,K,G,H) )=> perp(E,K,K,N) ) )),
% 7.98/1.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.98/1.40 fof(f96,negated_conjecture,(
% 7.98/1.40 ~((! [A,B,C,O,G,E,K,H,N,NWPNT1] :( ( circle(O,A,B,C)& midp(G,C,B)& coll(E,O,G)& circle(O,A,E,NWPNT1)& perp(K,E,A,B)& coll(K,A,B)& perp(H,A,O,G)& coll(H,O,G)& circle(N,K,G,H) )=> perp(E,K,K,N) ) ))),
% 7.98/1.40 inference(negated_conjecture,[status(cth)],[f95])).
% 7.98/1.40 fof(f97,plain,(
% 7.98/1.40 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 7.98/1.40 fof(f98,plain,(
% 7.98/1.40 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f97])).
% 7.98/1.40 fof(f99,plain,(
% 7.98/1.40 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 7.98/1.40 fof(f100,plain,(
% 7.98/1.40 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f99])).
% 7.98/1.40 fof(f101,plain,(
% 7.98/1.40 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 7.98/1.40 fof(f102,plain,(
% 7.98/1.40 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 7.98/1.40 inference(miniscoping,[status(esa)],[f101])).
% 7.98/1.40 fof(f103,plain,(
% 7.98/1.40 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f102])).
% 7.98/1.40 fof(f111,plain,(
% 7.98/1.40 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 7.98/1.40 fof(f112,plain,(
% 7.98/1.40 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f111])).
% 7.98/1.40 fof(f113,plain,(
% 7.98/1.40 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 7.98/1.40 fof(f114,plain,(
% 7.98/1.40 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f113])).
% 7.98/1.40 fof(f115,plain,(
% 7.98/1.40 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 7.98/1.40 fof(f116,plain,(
% 7.98/1.40 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 7.98/1.40 inference(miniscoping,[status(esa)],[f115])).
% 7.98/1.40 fof(f117,plain,(
% 7.98/1.40 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f116])).
% 7.98/1.40 fof(f121,plain,(
% 7.98/1.40 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 7.98/1.40 fof(f122,plain,(
% 7.98/1.40 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f121])).
% 7.98/1.40 fof(f134,plain,(
% 7.98/1.40 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 7.98/1.40 fof(f135,plain,(
% 7.98/1.40 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 7.98/1.40 inference(miniscoping,[status(esa)],[f134])).
% 7.98/1.40 fof(f136,plain,(
% 7.98/1.40 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f135])).
% 7.98/1.40 fof(f139,plain,(
% 7.98/1.40 ![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))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 7.98/1.40 fof(f140,plain,(
% 7.98/1.40 ![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))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f139])).
% 7.98/1.40 fof(f143,plain,(
% 7.98/1.40 ![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))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 7.98/1.40 fof(f144,plain,(
% 7.98/1.40 ![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))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f143])).
% 7.98/1.40 fof(f184,plain,(
% 7.98/1.40 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 7.98/1.40 fof(f185,plain,(
% 7.98/1.40 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 7.98/1.40 inference(miniscoping,[status(esa)],[f184])).
% 7.98/1.40 fof(f186,plain,(
% 7.98/1.40 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f185])).
% 7.98/1.40 fof(f187,plain,(
% 7.98/1.40 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 7.98/1.40 fof(f188,plain,(
% 7.98/1.40 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 7.98/1.40 inference(miniscoping,[status(esa)],[f187])).
% 7.98/1.40 fof(f189,plain,(
% 7.98/1.40 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f188])).
% 7.98/1.40 fof(f190,plain,(
% 7.98/1.40 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 7.98/1.40 fof(f191,plain,(
% 7.98/1.40 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f190])).
% 7.98/1.40 fof(f194,plain,(
% 7.98/1.40 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 7.98/1.40 fof(f195,plain,(
% 7.98/1.40 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f194])).
% 7.98/1.40 fof(f196,plain,(
% 7.98/1.40 ![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))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 7.98/1.40 fof(f197,plain,(
% 7.98/1.40 ![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))),
% 7.98/1.40 inference(miniscoping,[status(esa)],[f196])).
% 7.98/1.40 fof(f198,plain,(
% 7.98/1.40 ![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))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f197])).
% 7.98/1.40 fof(f223,plain,(
% 7.98/1.40 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 7.98/1.40 fof(f224,plain,(
% 7.98/1.40 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 7.98/1.40 inference(miniscoping,[status(esa)],[f223])).
% 7.98/1.40 fof(f225,plain,(
% 7.98/1.40 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f224])).
% 7.98/1.40 fof(f233,plain,(
% 7.98/1.40 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 7.98/1.40 fof(f234,plain,(
% 7.98/1.40 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 7.98/1.40 inference(miniscoping,[status(esa)],[f233])).
% 7.98/1.40 fof(f235,plain,(
% 7.98/1.40 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f234])).
% 7.98/1.40 fof(f255,plain,(
% 7.98/1.40 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 7.98/1.40 fof(f256,plain,(
% 7.98/1.40 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f255])).
% 7.98/1.40 fof(f261,plain,(
% 7.98/1.40 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f70])).
% 7.98/1.40 fof(f262,plain,(
% 7.98/1.40 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f261])).
% 7.98/1.40 fof(f369,plain,(
% 7.98/1.40 (?[A,B,C,O,G,E,K,H,N,NWPNT1]: (((((((((circle(O,A,B,C)&midp(G,C,B))&coll(E,O,G))&circle(O,A,E,NWPNT1))&perp(K,E,A,B))&coll(K,A,B))&perp(H,A,O,G))&coll(H,O,G))&circle(N,K,G,H))&~perp(E,K,K,N)))),
% 7.98/1.40 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 7.98/1.40 fof(f370,plain,(
% 7.98/1.40 ?[E,K,N]: ((?[G,H]: ((?[O]: ((?[A]: ((?[B]: (((((?[C]: (circle(O,A,B,C)&midp(G,C,B)))&coll(E,O,G))&(?[NWPNT1]: circle(O,A,E,NWPNT1)))&perp(K,E,A,B))&coll(K,A,B)))&perp(H,A,O,G)))&coll(H,O,G)))&circle(N,K,G,H)))&~perp(E,K,K,N))),
% 7.98/1.40 inference(miniscoping,[status(esa)],[f369])).
% 7.98/1.40 fof(f371,plain,(
% 7.98/1.40 (((((((((circle(sk0_25,sk0_26,sk0_27,sk0_28)&midp(sk0_23,sk0_28,sk0_27))&coll(sk0_20,sk0_25,sk0_23))&circle(sk0_25,sk0_26,sk0_20,sk0_29))&perp(sk0_21,sk0_20,sk0_26,sk0_27))&coll(sk0_21,sk0_26,sk0_27))&perp(sk0_24,sk0_26,sk0_25,sk0_23))&coll(sk0_24,sk0_25,sk0_23))&circle(sk0_22,sk0_21,sk0_23,sk0_24))&~perp(sk0_20,sk0_21,sk0_21,sk0_22))),
% 7.98/1.40 inference(skolemization,[status(esa)],[f370])).
% 7.98/1.40 fof(f372,plain,(
% 7.98/1.40 circle(sk0_25,sk0_26,sk0_27,sk0_28)),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f371])).
% 7.98/1.40 fof(f373,plain,(
% 7.98/1.40 midp(sk0_23,sk0_28,sk0_27)),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f371])).
% 7.98/1.40 fof(f374,plain,(
% 7.98/1.40 coll(sk0_20,sk0_25,sk0_23)),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f371])).
% 7.98/1.40 fof(f376,plain,(
% 7.98/1.40 perp(sk0_21,sk0_20,sk0_26,sk0_27)),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f371])).
% 7.98/1.40 fof(f377,plain,(
% 7.98/1.40 coll(sk0_21,sk0_26,sk0_27)),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f371])).
% 7.98/1.40 fof(f379,plain,(
% 7.98/1.40 coll(sk0_24,sk0_25,sk0_23)),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f371])).
% 7.98/1.40 fof(f381,plain,(
% 7.98/1.40 ~perp(sk0_20,sk0_21,sk0_21,sk0_22)),
% 7.98/1.40 inference(cnf_transformation,[status(esa)],[f371])).
% 7.98/1.40 fof(f382,plain,(
% 7.98/1.40 coll(sk0_24,sk0_23,sk0_25)),
% 7.98/1.40 inference(resolution,[status(thm)],[f98,f379])).
% 7.98/1.40 fof(f383,plain,(
% 7.98/1.40 coll(sk0_21,sk0_27,sk0_26)),
% 7.98/1.40 inference(resolution,[status(thm)],[f98,f377])).
% 7.98/1.40 fof(f388,plain,(
% 7.98/1.40 coll(sk0_23,sk0_24,sk0_25)),
% 7.98/1.40 inference(resolution,[status(thm)],[f100,f382])).
% 7.98/1.40 fof(f391,plain,(
% 7.98/1.40 coll(sk0_26,sk0_21,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f100,f377])).
% 7.98/1.40 fof(f393,plain,(
% 7.98/1.40 coll(sk0_25,sk0_20,sk0_23)),
% 7.98/1.40 inference(resolution,[status(thm)],[f100,f374])).
% 7.98/1.40 fof(f401,plain,(
% 7.98/1.40 coll(sk0_26,sk0_27,sk0_21)),
% 7.98/1.40 inference(resolution,[status(thm)],[f391,f98])).
% 7.98/1.40 fof(f404,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_26,sk0_21,X0)|coll(X0,sk0_27,sk0_26))),
% 7.98/1.40 inference(resolution,[status(thm)],[f103,f391])).
% 7.98/1.40 fof(f408,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_23,sk0_24,X0)|coll(X0,sk0_25,sk0_23))),
% 7.98/1.40 inference(resolution,[status(thm)],[f103,f388])).
% 7.98/1.40 fof(f410,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_24,sk0_25,X0)|coll(X0,sk0_23,sk0_24))),
% 7.98/1.40 inference(resolution,[status(thm)],[f103,f379])).
% 7.98/1.40 fof(f411,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_21,sk0_27,X0)|coll(X0,sk0_26,sk0_21))),
% 7.98/1.40 inference(resolution,[status(thm)],[f103,f383])).
% 7.98/1.40 fof(f412,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_21,sk0_26,X0)|coll(X0,sk0_27,sk0_21))),
% 7.98/1.40 inference(resolution,[status(thm)],[f103,f377])).
% 7.98/1.40 fof(f414,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_20,sk0_25,X0)|coll(X0,sk0_23,sk0_20))),
% 7.98/1.40 inference(resolution,[status(thm)],[f103,f374])).
% 7.98/1.40 fof(f417,plain,(
% 7.98/1.40 coll(sk0_25,sk0_23,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f393,f98])).
% 7.98/1.40 fof(f427,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_26,sk0_27,X0)|coll(X0,sk0_21,sk0_26))),
% 7.98/1.40 inference(resolution,[status(thm)],[f401,f103])).
% 7.98/1.40 fof(f433,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_25,sk0_23,X0)|coll(X0,sk0_20,sk0_25))),
% 7.98/1.40 inference(resolution,[status(thm)],[f417,f103])).
% 7.98/1.40 fof(f436,plain,(
% 7.98/1.40 midp(sk0_23,sk0_27,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f122,f373])).
% 7.98/1.40 fof(f438,plain,(
% 7.98/1.40 coll(sk0_23,sk0_27,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f262,f436])).
% 7.98/1.40 fof(f439,plain,(
% 7.98/1.40 coll(sk0_23,sk0_28,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f262,f373])).
% 7.98/1.40 fof(f440,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_23,sk0_27,X0)|coll(X0,sk0_28,sk0_23))),
% 7.98/1.40 inference(resolution,[status(thm)],[f438,f103])).
% 7.98/1.40 fof(f441,plain,(
% 7.98/1.40 coll(sk0_27,sk0_23,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f438,f100])).
% 7.98/1.40 fof(f443,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_23,sk0_28,X0)|coll(X0,sk0_27,sk0_23))),
% 7.98/1.40 inference(resolution,[status(thm)],[f439,f103])).
% 7.98/1.40 fof(f446,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_27,sk0_23,X0)|coll(X0,sk0_28,sk0_27))),
% 7.98/1.40 inference(resolution,[status(thm)],[f441,f103])).
% 7.98/1.40 fof(f448,plain,(
% 7.98/1.40 coll(sk0_27,sk0_28,sk0_23)),
% 7.98/1.40 inference(resolution,[status(thm)],[f441,f98])).
% 7.98/1.40 fof(f452,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_27,sk0_28,X0)|coll(X0,sk0_23,sk0_27))),
% 7.98/1.40 inference(resolution,[status(thm)],[f448,f103])).
% 7.98/1.40 fof(f462,plain,(
% 7.98/1.40 coll(sk0_27,sk0_27,sk0_26)),
% 7.98/1.40 inference(resolution,[status(thm)],[f404,f391])).
% 7.98/1.40 fof(f463,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_27,sk0_27,X0)|coll(X0,sk0_26,sk0_27))),
% 7.98/1.40 inference(resolution,[status(thm)],[f462,f103])).
% 7.98/1.40 fof(f472,plain,(
% 7.98/1.40 coll(sk0_23,sk0_23,sk0_24)),
% 7.98/1.40 inference(resolution,[status(thm)],[f410,f379])).
% 7.98/1.40 fof(f473,plain,(
% 7.98/1.40 coll(sk0_27,sk0_27,sk0_21)),
% 7.98/1.40 inference(resolution,[status(thm)],[f412,f377])).
% 7.98/1.40 fof(f474,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_23,sk0_23,X0)|coll(X0,sk0_24,sk0_23))),
% 7.98/1.40 inference(resolution,[status(thm)],[f472,f103])).
% 7.98/1.40 fof(f477,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_27,sk0_27,X0)|coll(X0,sk0_21,sk0_27))),
% 7.98/1.40 inference(resolution,[status(thm)],[f473,f103])).
% 7.98/1.40 fof(f514,plain,(
% 7.98/1.40 coll(sk0_23,sk0_23,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f414,f374])).
% 7.98/1.40 fof(f522,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_23,sk0_23,X0)|coll(X0,sk0_20,sk0_23))),
% 7.98/1.40 inference(resolution,[status(thm)],[f514,f103])).
% 7.98/1.40 fof(f575,plain,(
% 7.98/1.40 perp(sk0_26,sk0_27,sk0_21,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f114,f376])).
% 7.98/1.40 fof(f605,plain,(
% 7.98/1.40 ![X0,X1]: (~perp(X0,X1,sk0_26,sk0_27)|para(X0,X1,sk0_21,sk0_20))),
% 7.98/1.40 inference(resolution,[status(thm)],[f117,f575])).
% 7.98/1.40 fof(f726,plain,(
% 7.98/1.40 coll(sk0_27,sk0_27,sk0_23)),
% 7.98/1.40 inference(resolution,[status(thm)],[f443,f439])).
% 7.98/1.40 fof(f728,plain,(
% 7.98/1.40 para(sk0_21,sk0_20,sk0_21,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f605,f376])).
% 7.98/1.40 fof(f731,plain,(
% 7.98/1.40 coll(sk0_27,sk0_23,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f726,f98])).
% 7.98/1.40 fof(f732,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_27,sk0_23,X0)|coll(X0,sk0_27,sk0_27))),
% 7.98/1.40 inference(resolution,[status(thm)],[f731,f103])).
% 7.98/1.40 fof(f754,plain,(
% 7.98/1.40 coll(sk0_21,sk0_20,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f728,f256])).
% 7.98/1.40 fof(f758,plain,(
% 7.98/1.40 coll(sk0_20,sk0_21,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f754,f100])).
% 7.98/1.40 fof(f760,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_20,sk0_21,X0)|coll(X0,sk0_20,sk0_20))),
% 7.98/1.40 inference(resolution,[status(thm)],[f758,f103])).
% 7.98/1.40 fof(f762,plain,(
% 7.98/1.40 coll(sk0_20,sk0_20,sk0_21)),
% 7.98/1.40 inference(resolution,[status(thm)],[f758,f98])).
% 7.98/1.40 fof(f899,plain,(
% 7.98/1.40 coll(sk0_27,sk0_28,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f446,f731])).
% 7.98/1.40 fof(f903,plain,(
% 7.98/1.40 coll(sk0_27,sk0_27,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f899,f98])).
% 7.98/1.40 fof(f923,plain,(
% 7.98/1.40 coll(sk0_23,sk0_23,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f452,f448])).
% 7.98/1.40 fof(f932,plain,(
% 7.98/1.40 coll(sk0_23,sk0_27,sk0_23)),
% 7.98/1.40 inference(resolution,[status(thm)],[f923,f98])).
% 7.98/1.40 fof(f933,plain,(
% 7.98/1.40 coll(sk0_23,sk0_28,sk0_23)),
% 7.98/1.40 inference(resolution,[status(thm)],[f932,f440])).
% 7.98/1.40 fof(f940,plain,(
% 7.98/1.40 coll(sk0_23,sk0_23,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f933,f98])).
% 7.98/1.40 fof(f953,plain,(
% 7.98/1.40 coll(sk0_28,sk0_24,sk0_23)),
% 7.98/1.40 inference(resolution,[status(thm)],[f940,f474])).
% 7.98/1.40 fof(f961,plain,(
% 7.98/1.40 coll(sk0_24,sk0_28,sk0_23)),
% 7.98/1.40 inference(resolution,[status(thm)],[f953,f100])).
% 7.98/1.40 fof(f972,plain,(
% 7.98/1.40 coll(sk0_24,sk0_23,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f961,f98])).
% 7.98/1.40 fof(f992,plain,(
% 7.98/1.40 coll(sk0_23,sk0_24,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f972,f100])).
% 7.98/1.40 fof(f1014,plain,(
% 7.98/1.40 coll(sk0_28,sk0_25,sk0_23)),
% 7.98/1.40 inference(resolution,[status(thm)],[f992,f408])).
% 7.98/1.40 fof(f1044,plain,(
% 7.98/1.40 coll(sk0_25,sk0_28,sk0_23)),
% 7.98/1.40 inference(resolution,[status(thm)],[f1014,f100])).
% 7.98/1.40 fof(f1050,plain,(
% 7.98/1.40 coll(sk0_28,sk0_21,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f477,f903])).
% 7.98/1.40 fof(f1077,plain,(
% 7.98/1.40 coll(sk0_25,sk0_23,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f1044,f98])).
% 7.98/1.40 fof(f1083,plain,(
% 7.98/1.40 coll(sk0_21,sk0_28,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f1050,f100])).
% 7.98/1.40 fof(f1086,plain,(
% 7.98/1.40 coll(sk0_27,sk0_20,sk0_23)),
% 7.98/1.40 inference(resolution,[status(thm)],[f522,f923])).
% 7.98/1.40 fof(f1115,plain,(
% 7.98/1.40 coll(sk0_28,sk0_20,sk0_25)),
% 7.98/1.40 inference(resolution,[status(thm)],[f1077,f433])).
% 7.98/1.40 fof(f1129,plain,(
% 7.98/1.40 coll(sk0_21,sk0_27,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f1083,f98])).
% 7.98/1.40 fof(f1144,plain,(
% 7.98/1.40 coll(sk0_27,sk0_23,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f1086,f98])).
% 7.98/1.40 fof(f1176,plain,(
% 7.98/1.40 coll(sk0_28,sk0_26,sk0_21)),
% 7.98/1.40 inference(resolution,[status(thm)],[f1129,f411])).
% 7.98/1.40 fof(f1200,plain,(
% 7.98/1.40 spl0_4 <=> coll(sk0_25,sk0_26,sk0_28)),
% 7.98/1.40 introduced(split_symbol_definition)).
% 7.98/1.40 fof(f1202,plain,(
% 7.98/1.40 ~coll(sk0_25,sk0_26,sk0_28)|spl0_4),
% 7.98/1.40 inference(component_clause,[status(thm)],[f1200])).
% 7.98/1.40 fof(f1203,plain,(
% 7.98/1.40 spl0_5 <=> perp(sk0_26,sk0_27,sk0_27,sk0_28)),
% 7.98/1.40 introduced(split_symbol_definition)).
% 7.98/1.40 fof(f1204,plain,(
% 7.98/1.40 perp(sk0_26,sk0_27,sk0_27,sk0_28)|~spl0_5),
% 7.98/1.40 inference(component_clause,[status(thm)],[f1203])).
% 7.98/1.40 fof(f1206,plain,(
% 7.98/1.40 ~coll(sk0_25,sk0_26,sk0_28)|perp(sk0_26,sk0_27,sk0_27,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f225,f372])).
% 7.98/1.40 fof(f1207,plain,(
% 7.98/1.40 ~spl0_4|spl0_5),
% 7.98/1.40 inference(split_clause,[status(thm)],[f1206,f1200,f1203])).
% 7.98/1.40 fof(f1253,plain,(
% 7.98/1.40 coll(sk0_26,sk0_28,sk0_21)),
% 7.98/1.40 inference(resolution,[status(thm)],[f1176,f100])).
% 7.98/1.40 fof(f1322,plain,(
% 7.98/1.40 coll(sk0_26,sk0_21,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f1253,f98])).
% 7.98/1.40 fof(f1390,plain,(
% 7.98/1.40 coll(sk0_21,sk0_26,sk0_28)),
% 7.98/1.40 inference(resolution,[status(thm)],[f1322,f100])).
% 7.98/1.40 fof(f2364,plain,(
% 7.98/1.40 coll(sk0_20,sk0_27,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f732,f1144])).
% 7.98/1.40 fof(f2371,plain,(
% 7.98/1.40 coll(sk0_27,sk0_20,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f2364,f100])).
% 7.98/1.40 fof(f2387,plain,(
% 7.98/1.40 coll(sk0_27,sk0_27,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f2371,f98])).
% 7.98/1.40 fof(f2392,plain,(
% 7.98/1.40 coll(sk0_20,sk0_26,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f2387,f463])).
% 7.98/1.40 fof(f2404,plain,(
% 7.98/1.40 coll(sk0_26,sk0_20,sk0_27)),
% 7.98/1.40 inference(resolution,[status(thm)],[f2392,f100])).
% 7.98/1.40 fof(f2417,plain,(
% 7.98/1.40 coll(sk0_26,sk0_27,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f2404,f98])).
% 7.98/1.40 fof(f2455,plain,(
% 7.98/1.40 coll(sk0_20,sk0_21,sk0_26)),
% 7.98/1.40 inference(resolution,[status(thm)],[f2417,f427])).
% 7.98/1.40 fof(f2493,plain,(
% 7.98/1.40 coll(sk0_26,sk0_20,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f2455,f760])).
% 7.98/1.40 fof(f2538,plain,(
% 7.98/1.40 spl0_47 <=> coll(sk0_20,sk0_26,sk0_20)),
% 7.98/1.40 introduced(split_symbol_definition)).
% 7.98/1.40 fof(f2539,plain,(
% 7.98/1.40 coll(sk0_20,sk0_26,sk0_20)|~spl0_47),
% 7.98/1.40 inference(component_clause,[status(thm)],[f2538])).
% 7.98/1.40 fof(f2540,plain,(
% 7.98/1.40 ~coll(sk0_20,sk0_26,sk0_20)|spl0_47),
% 7.98/1.40 inference(component_clause,[status(thm)],[f2538])).
% 7.98/1.40 fof(f2588,plain,(
% 7.98/1.40 coll(sk0_20,sk0_26,sk0_20)),
% 7.98/1.40 inference(resolution,[status(thm)],[f2493,f100])).
% 7.98/1.40 fof(f2621,plain,(
% 7.98/1.40 $false|spl0_47),
% 7.98/1.40 inference(forward_subsumption_resolution,[status(thm)],[f2588,f2540])).
% 7.98/1.40 fof(f2622,plain,(
% 7.98/1.40 spl0_47),
% 7.98/1.40 inference(contradiction_clause,[status(thm)],[f2621])).
% 7.98/1.40 fof(f2625,plain,(
% 7.98/1.40 coll(sk0_20,sk0_20,sk0_26)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f2539,f98])).
% 7.98/1.40 fof(f2633,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_20,sk0_20,X0)|coll(X0,sk0_26,sk0_20)|~spl0_47)),
% 7.98/1.40 inference(resolution,[status(thm)],[f2625,f103])).
% 7.98/1.40 fof(f2641,plain,(
% 7.98/1.40 coll(sk0_21,sk0_26,sk0_20)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f2633,f762])).
% 7.98/1.40 fof(f2644,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_21,sk0_26,X0)|coll(X0,sk0_20,sk0_21)|~spl0_47)),
% 7.98/1.40 inference(resolution,[status(thm)],[f2641,f103])).
% 7.98/1.40 fof(f2655,plain,(
% 7.98/1.40 coll(sk0_28,sk0_20,sk0_21)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f2644,f1390])).
% 7.98/1.40 fof(f2671,plain,(
% 7.98/1.40 coll(sk0_20,sk0_28,sk0_21)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f2655,f100])).
% 7.98/1.40 fof(f2832,plain,(
% 7.98/1.40 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 7.98/1.40 inference(resolution,[status(thm)],[f189,f144])).
% 7.98/1.40 fof(f2834,plain,(
% 7.98/1.40 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 7.98/1.40 inference(resolution,[status(thm)],[f189,f140])).
% 7.98/1.40 fof(f2840,plain,(
% 7.98/1.40 coll(sk0_20,sk0_21,sk0_28)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f2671,f98])).
% 7.98/1.40 fof(f2872,plain,(
% 7.98/1.40 coll(sk0_28,sk0_20,sk0_20)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f2840,f760])).
% 7.98/1.40 fof(f2915,plain,(
% 7.98/1.40 coll(sk0_20,sk0_28,sk0_20)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f2872,f100])).
% 7.98/1.40 fof(f3100,plain,(
% 7.98/1.40 coll(sk0_20,sk0_20,sk0_28)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f2915,f98])).
% 7.98/1.40 fof(f3103,plain,(
% 7.98/1.40 coll(sk0_28,sk0_26,sk0_20)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f3100,f2633])).
% 7.98/1.40 fof(f3109,plain,(
% 7.98/1.40 coll(sk0_28,sk0_20,sk0_26)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f3103,f98])).
% 7.98/1.40 fof(f3113,plain,(
% 7.98/1.40 ![X0]: (~coll(sk0_28,sk0_20,X0)|coll(X0,sk0_26,sk0_28)|~spl0_47)),
% 7.98/1.40 inference(resolution,[status(thm)],[f3109,f103])).
% 7.98/1.40 fof(f3968,plain,(
% 7.98/1.40 coll(sk0_25,sk0_26,sk0_28)|~spl0_47),
% 7.98/1.40 inference(resolution,[status(thm)],[f3113,f1115])).
% 7.98/1.40 fof(f3969,plain,(
% 7.98/1.40 $false|spl0_4|~spl0_47),
% 7.98/1.40 inference(forward_subsumption_resolution,[status(thm)],[f3968,f1202])).
% 7.98/1.40 fof(f3970,plain,(
% 7.98/1.40 spl0_4|~spl0_47),
% 7.98/1.40 inference(contradiction_clause,[status(thm)],[f3969])).
% 7.98/1.40 fof(f3993,plain,(
% 7.98/1.40 perp(sk0_26,sk0_27,sk0_28,sk0_27)|~spl0_5),
% 7.98/1.40 inference(resolution,[status(thm)],[f1204,f112])).
% 7.98/1.40 fof(f4029,plain,(
% 7.98/1.40 ![X0,X1]: (~perp(X0,X1,sk0_26,sk0_27)|para(X0,X1,sk0_28,sk0_27)|~spl0_5)),
% 7.98/1.40 inference(resolution,[status(thm)],[f3993,f117])).
% 7.98/1.40 fof(f4030,plain,(
% 7.98/1.40 perp(sk0_28,sk0_27,sk0_26,sk0_27)|~spl0_5),
% 7.98/1.40 inference(resolution,[status(thm)],[f3993,f114])).
% 7.98/1.40 fof(f4612,plain,(
% 7.98/1.40 para(sk0_28,sk0_27,sk0_28,sk0_27)|~spl0_5),
% 7.98/1.40 inference(resolution,[status(thm)],[f4029,f4030])).
% 7.98/1.40 fof(f11426,plain,(
% 7.98/1.40 spl0_438 <=> ~para(X4,X5,X4,X5)),
% 7.98/1.40 introduced(split_symbol_definition)).
% 7.98/1.40 fof(f11427,plain,(
% 7.98/1.40 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_438)),
% 7.98/1.40 inference(component_clause,[status(thm)],[f11426])).
% 7.98/1.40 fof(f11487,plain,(
% 7.98/1.40 spl0_439 <=> para(X2,X3,X2,X3)),
% 7.98/1.40 introduced(split_symbol_definition)).
% 7.98/1.40 fof(f11488,plain,(
% 7.98/1.40 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_439)),
% 7.98/1.40 inference(component_clause,[status(thm)],[f11487])).
% 7.98/1.40 fof(f11490,plain,(
% 7.98/1.40 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 7.98/1.40 inference(resolution,[status(thm)],[f2834,f186])).
% 7.98/1.40 fof(f11491,plain,(
% 7.98/1.40 spl0_438|spl0_439),
% 7.98/1.40 inference(split_clause,[status(thm)],[f11490,f11426,f11487])).
% 7.98/1.40 fof(f11946,plain,(
% 7.98/1.40 $false|~spl0_438|~spl0_5),
% 7.98/1.40 inference(backward_subsumption_resolution,[status(thm)],[f4612,f11427])).
% 7.98/1.40 fof(f11947,plain,(
% 7.98/1.40 ~spl0_438|~spl0_5),
% 7.98/1.40 inference(contradiction_clause,[status(thm)],[f11946])).
% 7.98/1.40 fof(f11972,plain,(
% 7.98/1.40 ![X0,X1]: (coll(X0,X1,X1)|~spl0_439)),
% 7.98/1.42 inference(resolution,[status(thm)],[f11488,f256])).
% 7.98/1.42 fof(f12415,plain,(
% 7.98/1.42 ![X0,X1]: (coll(X0,X1,X0)|~spl0_439)),
% 7.98/1.42 inference(resolution,[status(thm)],[f11972,f100])).
% 7.98/1.42 fof(f12869,plain,(
% 7.98/1.42 ![X0,X1]: (coll(X0,X0,X1)|~spl0_439)),
% 7.98/1.42 inference(resolution,[status(thm)],[f12415,f98])).
% 7.98/1.42 fof(f12930,plain,(
% 7.98/1.42 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_439)),
% 7.98/1.42 inference(resolution,[status(thm)],[f12869,f103])).
% 7.98/1.42 fof(f12931,plain,(
% 7.98/1.42 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_439)),
% 7.98/1.42 inference(forward_subsumption_resolution,[status(thm)],[f12930,f12869])).
% 7.98/1.42 fof(f12942,plain,(
% 7.98/1.42 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_439)),
% 7.98/1.42 inference(backward_subsumption_resolution,[status(thm)],[f195,f12931])).
% 7.98/1.42 fof(f13519,plain,(
% 7.98/1.42 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_439)),
% 7.98/1.42 inference(resolution,[status(thm)],[f12942,f2832])).
% 7.98/1.42 fof(f13520,plain,(
% 7.98/1.42 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_439)),
% 7.98/1.42 inference(forward_subsumption_resolution,[status(thm)],[f13519,f11488])).
% 7.98/1.42 fof(f13542,plain,(
% 7.98/1.42 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_439)),
% 7.98/1.42 inference(resolution,[status(thm)],[f13520,f136])).
% 7.98/1.42 fof(f13543,plain,(
% 7.98/1.42 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_439)),
% 7.98/1.42 inference(forward_subsumption_resolution,[status(thm)],[f13542,f13520])).
% 7.98/1.42 fof(f13559,plain,(
% 7.98/1.42 ![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_439)),
% 7.98/1.42 inference(backward_subsumption_resolution,[status(thm)],[f198,f13543])).
% 7.98/1.42 fof(f13560,plain,(
% 7.98/1.42 ![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_439)),
% 7.98/1.42 inference(forward_subsumption_resolution,[status(thm)],[f13559,f13543])).
% 7.98/1.42 fof(f13561,plain,(
% 7.98/1.42 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_439)),
% 7.98/1.42 inference(backward_subsumption_resolution,[status(thm)],[f191,f13543])).
% 7.98/1.42 fof(f13565,plain,(
% 7.98/1.42 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_439)),
% 7.98/1.42 inference(backward_subsumption_resolution,[status(thm)],[f235,f13543])).
% 7.98/1.42 fof(f13939,plain,(
% 7.98/1.42 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_439)),
% 7.98/1.42 inference(forward_subsumption_resolution,[status(thm)],[f13560,f13543])).
% 7.98/1.42 fof(f13957,plain,(
% 7.98/1.42 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_439)),
% 7.98/1.42 inference(resolution,[status(thm)],[f13561,f13939])).
% 7.98/1.42 fof(f14602,plain,(
% 7.98/1.42 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_439)),
% 7.98/1.42 inference(resolution,[status(thm)],[f13565,f13957])).
% 7.98/1.42 fof(f14603,plain,(
% 7.98/1.42 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_439)),
% 7.98/1.42 inference(forward_subsumption_resolution,[status(thm)],[f14602,f13957])).
% 7.98/1.42 fof(f14629,plain,(
% 7.98/1.42 $false|~spl0_439),
% 7.98/1.42 inference(backward_subsumption_resolution,[status(thm)],[f381,f14603])).
% 7.98/1.42 fof(f14630,plain,(
% 7.98/1.42 ~spl0_439),
% 7.98/1.42 inference(contradiction_clause,[status(thm)],[f14629])).
% 7.98/1.42 fof(f14631,plain,(
% 7.98/1.42 $false),
% 7.98/1.42 inference(sat_refutation,[status(thm)],[f1207,f2622,f3970,f11491,f11947,f14630])).
% 7.98/1.42 % SZS output end CNFRefutation for theBenchmark.p
% 7.98/1.43 % Elapsed time: 1.122997 seconds
% 7.98/1.43 % CPU time: 8.540206 seconds
% 7.98/1.43 % Memory used: 113.301 MB
%------------------------------------------------------------------------------