TSTP Solution File: GEO586+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO586+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:09:14 EDT 2023
% Result : Theorem 7.57s 1.39s
% Output : CNFRefutation 7.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO586+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n010.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 11:52:37 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.5.1
% 7.57/1.39 % Refutation found
% 7.57/1.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.57/1.39 % SZS output start CNFRefutation for theBenchmark
% 7.57/1.39 fof(f1,axiom,(
% 7.57/1.39 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f2,axiom,(
% 7.57/1.39 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f3,axiom,(
% 7.57/1.39 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f5,axiom,(
% 7.57/1.39 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f6,axiom,(
% 7.57/1.39 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f7,axiom,(
% 7.57/1.39 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f8,axiom,(
% 7.57/1.39 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f9,axiom,(
% 7.57/1.39 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f17,axiom,(
% 7.57/1.39 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f20,axiom,(
% 7.57/1.39 (! [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) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f21,axiom,(
% 7.57/1.39 (! [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) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f40,axiom,(
% 7.57/1.39 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f41,axiom,(
% 7.57/1.39 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f43,axiom,(
% 7.57/1.39 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f44,axiom,(
% 7.57/1.39 (! [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) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f57,axiom,(
% 7.57/1.39 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f58,axiom,(
% 7.57/1.39 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f67,axiom,(
% 7.57/1.39 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f74,axiom,(
% 7.57/1.39 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& para(P,Q,U,V) )=> para(A,B,C,D) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f75,axiom,(
% 7.57/1.39 (! [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) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f87,axiom,(
% 7.57/1.39 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f95,conjecture,(
% 7.57/1.39 (! [A,B,C,O,D,E,I,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& coll(E,A,C)& coll(E,B,D)& circle(I,A,B,E) )=> perp(I,E,C,D) ) )),
% 7.57/1.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 7.57/1.39 fof(f96,negated_conjecture,(
% 7.57/1.39 ~((! [A,B,C,O,D,E,I,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& coll(E,A,C)& coll(E,B,D)& circle(I,A,B,E) )=> perp(I,E,C,D) ) ))),
% 7.57/1.39 inference(negated_conjecture,[status(cth)],[f95])).
% 7.57/1.39 fof(f97,plain,(
% 7.57/1.39 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 7.57/1.39 fof(f98,plain,(
% 7.57/1.39 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f97])).
% 7.57/1.39 fof(f99,plain,(
% 7.57/1.39 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 7.57/1.39 fof(f100,plain,(
% 7.57/1.39 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f99])).
% 7.57/1.39 fof(f101,plain,(
% 7.57/1.39 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 7.57/1.39 fof(f102,plain,(
% 7.57/1.39 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f101])).
% 7.57/1.39 fof(f103,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f102])).
% 7.57/1.39 fof(f106,plain,(
% 7.57/1.39 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 7.57/1.39 fof(f107,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f106])).
% 7.57/1.39 fof(f108,plain,(
% 7.57/1.39 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 7.57/1.39 fof(f109,plain,(
% 7.57/1.39 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f108])).
% 7.57/1.39 fof(f110,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f109])).
% 7.57/1.39 fof(f111,plain,(
% 7.57/1.39 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 7.57/1.39 fof(f112,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f111])).
% 7.57/1.39 fof(f113,plain,(
% 7.57/1.39 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 7.57/1.39 fof(f114,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f113])).
% 7.57/1.39 fof(f115,plain,(
% 7.57/1.39 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 7.57/1.39 fof(f116,plain,(
% 7.57/1.39 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f115])).
% 7.57/1.39 fof(f117,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f116])).
% 7.57/1.39 fof(f134,plain,(
% 7.57/1.39 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 7.57/1.39 fof(f135,plain,(
% 7.57/1.39 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f134])).
% 7.57/1.39 fof(f136,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f135])).
% 7.57/1.39 fof(f141,plain,(
% 7.57/1.39 ![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))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 7.57/1.39 fof(f142,plain,(
% 7.57/1.39 ![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))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f141])).
% 7.57/1.39 fof(f143,plain,(
% 7.57/1.39 ![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))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 7.57/1.39 fof(f144,plain,(
% 7.57/1.39 ![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))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f143])).
% 7.57/1.39 fof(f187,plain,(
% 7.57/1.39 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 7.57/1.39 fof(f188,plain,(
% 7.57/1.39 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f187])).
% 7.57/1.39 fof(f189,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f188])).
% 7.57/1.39 fof(f190,plain,(
% 7.57/1.39 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 7.57/1.39 fof(f191,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f190])).
% 7.57/1.39 fof(f194,plain,(
% 7.57/1.39 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 7.57/1.39 fof(f195,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f194])).
% 7.57/1.39 fof(f196,plain,(
% 7.57/1.39 ![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))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 7.57/1.39 fof(f197,plain,(
% 7.57/1.39 ![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))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f196])).
% 7.57/1.39 fof(f198,plain,(
% 7.57/1.39 ![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))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f197])).
% 7.57/1.39 fof(f231,plain,(
% 7.57/1.39 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 7.57/1.39 fof(f232,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f231])).
% 7.57/1.39 fof(f233,plain,(
% 7.57/1.39 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 7.57/1.39 fof(f234,plain,(
% 7.57/1.39 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f233])).
% 7.57/1.39 fof(f235,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f234])).
% 7.57/1.39 fof(f255,plain,(
% 7.57/1.39 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 7.57/1.39 fof(f256,plain,(
% 7.57/1.39 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f255])).
% 7.57/1.39 fof(f269,plain,(
% 7.57/1.39 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f74])).
% 7.57/1.39 fof(f270,plain,(
% 7.57/1.39 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V)))|para(A,B,C,D))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f269])).
% 7.57/1.39 fof(f271,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~para(X4,X5,X6,X7)|para(X0,X1,X2,X3))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f270])).
% 7.57/1.39 fof(f272,plain,(
% 7.57/1.39 ![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))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 7.57/1.39 fof(f273,plain,(
% 7.57/1.39 ![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))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f272])).
% 7.57/1.39 fof(f274,plain,(
% 7.57/1.39 ![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))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f273])).
% 7.57/1.39 fof(f331,plain,(
% 7.57/1.39 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 7.57/1.39 fof(f332,plain,(
% 7.57/1.39 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f331])).
% 7.57/1.39 fof(f333,plain,(
% 7.57/1.39 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sk0_11(O,A),A,A,O))),
% 7.57/1.39 inference(skolemization,[status(esa)],[f332])).
% 7.57/1.39 fof(f334,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sk0_11(X0,X1),X1,X1,X0))),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f333])).
% 7.57/1.39 fof(f369,plain,(
% 7.57/1.39 (?[A,B,C,O,D,E,I,NWPNT1]: (((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&coll(E,A,C))&coll(E,B,D))&circle(I,A,B,E))&~perp(I,E,C,D)))),
% 7.57/1.39 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 7.57/1.39 fof(f370,plain,(
% 7.57/1.39 ?[C,D,E,I]: ((?[A,B]: ((((?[O]: (circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,D,NWPNT1))))&coll(E,A,C))&coll(E,B,D))&circle(I,A,B,E)))&~perp(I,E,C,D))),
% 7.57/1.39 inference(miniscoping,[status(esa)],[f369])).
% 7.57/1.39 fof(f371,plain,(
% 7.57/1.39 (((((circle(sk0_26,sk0_24,sk0_25,sk0_20)&circle(sk0_26,sk0_24,sk0_21,sk0_27))&coll(sk0_22,sk0_24,sk0_20))&coll(sk0_22,sk0_25,sk0_21))&circle(sk0_23,sk0_24,sk0_25,sk0_22))&~perp(sk0_23,sk0_22,sk0_20,sk0_21))),
% 7.57/1.39 inference(skolemization,[status(esa)],[f370])).
% 7.57/1.39 fof(f372,plain,(
% 7.57/1.39 circle(sk0_26,sk0_24,sk0_25,sk0_20)),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f371])).
% 7.57/1.39 fof(f377,plain,(
% 7.57/1.39 ~perp(sk0_23,sk0_22,sk0_20,sk0_21)),
% 7.57/1.39 inference(cnf_transformation,[status(esa)],[f371])).
% 7.57/1.39 fof(f1491,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sk0_11(X0,X1),X1,X0,X1))),
% 7.57/1.39 inference(resolution,[status(thm)],[f334,f112])).
% 7.57/1.39 fof(f1998,plain,(
% 7.57/1.39 spl0_78 <=> perp(sk0_26,sk0_24,sk0_24,sk0_24)),
% 7.57/1.39 introduced(split_symbol_definition)).
% 7.57/1.39 fof(f1999,plain,(
% 7.57/1.39 perp(sk0_26,sk0_24,sk0_24,sk0_24)|~spl0_78),
% 7.57/1.39 inference(component_clause,[status(thm)],[f1998])).
% 7.57/1.39 fof(f2000,plain,(
% 7.57/1.39 ~perp(sk0_26,sk0_24,sk0_24,sk0_24)|spl0_78),
% 7.57/1.39 inference(component_clause,[status(thm)],[f1998])).
% 7.57/1.39 fof(f2023,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 7.57/1.39 inference(resolution,[status(thm)],[f189,f144])).
% 7.57/1.39 fof(f3099,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X4,X5,X0,X1,X2,X3))),
% 7.57/1.39 inference(resolution,[status(thm)],[f2023,f142])).
% 7.57/1.39 fof(f3120,plain,(
% 7.57/1.39 spl0_169 <=> para(X2,X3,X2,X3)),
% 7.57/1.39 introduced(split_symbol_definition)).
% 7.57/1.39 fof(f3121,plain,(
% 7.57/1.39 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_169)),
% 7.57/1.39 inference(component_clause,[status(thm)],[f3120])).
% 7.57/1.39 fof(f3395,plain,(
% 7.57/1.39 ![X0,X1]: (coll(X0,X1,X1)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f3121,f256])).
% 7.57/1.39 fof(f3498,plain,(
% 7.57/1.39 ![X0,X1]: (coll(X0,X1,X0)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f3395,f100])).
% 7.57/1.39 fof(f3602,plain,(
% 7.57/1.39 ![X0,X1]: (coll(X0,X0,X1)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f3498,f98])).
% 7.57/1.39 fof(f3623,plain,(
% 7.57/1.39 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f3602,f103])).
% 7.57/1.39 fof(f3624,plain,(
% 7.57/1.39 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_169)),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f3623,f3602])).
% 7.57/1.39 fof(f3629,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_169)),
% 7.57/1.39 inference(backward_subsumption_resolution,[status(thm)],[f195,f3624])).
% 7.57/1.39 fof(f4854,plain,(
% 7.57/1.39 spl0_229 <=> ~perp(X0,X1,X0,X1)),
% 7.57/1.39 introduced(split_symbol_definition)).
% 7.57/1.39 fof(f4855,plain,(
% 7.57/1.39 ![X0,X1]: (~perp(X0,X1,X0,X1)|~spl0_229)),
% 7.57/1.39 inference(component_clause,[status(thm)],[f4854])).
% 7.57/1.39 fof(f4857,plain,(
% 7.57/1.39 spl0_230 <=> perp(X2,X3,X4,X5)|~para(X2,X3,X4,X5)),
% 7.57/1.39 introduced(split_symbol_definition)).
% 7.57/1.39 fof(f4858,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~para(X0,X1,X2,X3)|~spl0_230)),
% 7.57/1.39 inference(component_clause,[status(thm)],[f4857])).
% 7.57/1.39 fof(f4860,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X0,X1)|perp(X2,X3,X4,X5)|~para(X2,X3,X4,X5))),
% 7.57/1.39 inference(resolution,[status(thm)],[f274,f2023])).
% 7.57/1.39 fof(f4861,plain,(
% 7.57/1.39 spl0_229|spl0_230),
% 7.57/1.39 inference(split_clause,[status(thm)],[f4860,f4854,f4857])).
% 7.57/1.39 fof(f4964,plain,(
% 7.57/1.39 perp(sk0_24,sk0_24,sk0_26,sk0_24)|~spl0_78),
% 7.57/1.39 inference(resolution,[status(thm)],[f1999,f114])).
% 7.57/1.39 fof(f5461,plain,(
% 7.57/1.39 ![X0,X1]: (~perp(X0,X1,sk0_24,sk0_24)|para(X0,X1,sk0_26,sk0_24)|~spl0_78)),
% 7.57/1.39 inference(resolution,[status(thm)],[f4964,f117])).
% 7.57/1.39 fof(f6101,plain,(
% 7.57/1.39 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f3629,f2023])).
% 7.57/1.39 fof(f6102,plain,(
% 7.57/1.39 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_169)),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f6101,f3121])).
% 7.57/1.39 fof(f6115,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f6102,f136])).
% 7.57/1.39 fof(f6116,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_169)),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f6115,f6102])).
% 7.57/1.39 fof(f6129,plain,(
% 7.57/1.39 ![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_169)),
% 7.57/1.39 inference(backward_subsumption_resolution,[status(thm)],[f198,f6116])).
% 7.57/1.39 fof(f6130,plain,(
% 7.57/1.39 ![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_169)),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f6129,f6116])).
% 7.57/1.39 fof(f6131,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_169)),
% 7.57/1.39 inference(backward_subsumption_resolution,[status(thm)],[f191,f6116])).
% 7.57/1.39 fof(f6132,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_169)),
% 7.57/1.39 inference(backward_subsumption_resolution,[status(thm)],[f235,f6116])).
% 7.57/1.39 fof(f7317,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_169)),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f6130,f6116])).
% 7.57/1.39 fof(f7355,plain,(
% 7.57/1.39 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f6131,f7317])).
% 7.57/1.39 fof(f7375,plain,(
% 7.57/1.39 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f7355,f6132])).
% 7.57/1.39 fof(f7376,plain,(
% 7.57/1.39 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_169)),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f7375,f7355])).
% 7.57/1.39 fof(f7378,plain,(
% 7.57/1.39 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X0,X0,X1,X2)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f7355,f232])).
% 7.57/1.39 fof(f7379,plain,(
% 7.57/1.39 ![X0,X1,X2]: (perp(X0,X0,X1,X2)|~spl0_169)),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f7378,f7355])).
% 7.57/1.39 fof(f7405,plain,(
% 7.57/1.39 ![X0,X1,X2]: (perp(X0,X1,X2,X0)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f7376,f114])).
% 7.57/1.39 fof(f7409,plain,(
% 7.57/1.39 ![X0,X1,X2]: (perp(X0,X1,X2,X2)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f7379,f114])).
% 7.57/1.39 fof(f7419,plain,(
% 7.57/1.39 ![X0,X1,X2]: (perp(X0,X1,X0,X2)|~spl0_169)),
% 7.57/1.39 inference(resolution,[status(thm)],[f7405,f112])).
% 7.57/1.39 fof(f7464,plain,(
% 7.57/1.39 $false|~spl0_169|spl0_78),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f2000,f7409])).
% 7.57/1.39 fof(f7465,plain,(
% 7.57/1.39 ~spl0_169|spl0_78),
% 7.57/1.39 inference(contradiction_clause,[status(thm)],[f7464])).
% 7.57/1.39 fof(f7468,plain,(
% 7.57/1.39 ![X0,X1]: (para(X0,X1,sk0_26,sk0_24)|~spl0_169|~spl0_78)),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f5461,f7409])).
% 7.57/1.39 fof(f7497,plain,(
% 7.57/1.39 ![X0,X1]: (para(sk0_26,sk0_24,X0,X1)|~spl0_169|~spl0_78)),
% 7.57/1.39 inference(resolution,[status(thm)],[f7468,f107])).
% 7.57/1.39 fof(f7529,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~para(X0,X1,sk0_26,sk0_24)|para(X0,X1,X2,X3)|~spl0_169|~spl0_78)),
% 7.57/1.39 inference(resolution,[status(thm)],[f7497,f110])).
% 7.57/1.39 fof(f7530,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_169|~spl0_78)),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f7529,f7468])).
% 7.57/1.39 fof(f7545,plain,(
% 7.57/1.39 $false|~spl0_169|~spl0_229),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f4855,f7419])).
% 7.57/1.39 fof(f7546,plain,(
% 7.57/1.39 ~spl0_169|~spl0_229),
% 7.57/1.39 inference(contradiction_clause,[status(thm)],[f7545])).
% 7.57/1.39 fof(f7547,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_169|~spl0_78|~spl0_230)),
% 7.57/1.39 inference(forward_subsumption_resolution,[status(thm)],[f4858,f7530])).
% 7.57/1.39 fof(f7556,plain,(
% 7.57/1.39 $false|~spl0_169|~spl0_78|~spl0_230),
% 7.57/1.39 inference(backward_subsumption_resolution,[status(thm)],[f377,f7547])).
% 7.57/1.39 fof(f7557,plain,(
% 7.57/1.39 ~spl0_169|~spl0_78|~spl0_230),
% 7.57/1.39 inference(contradiction_clause,[status(thm)],[f7556])).
% 7.57/1.39 fof(f12734,plain,(
% 7.57/1.39 spl0_416 <=> ~para(X0,X1,X2,X3)|~para(X0,X1,X2,X3)),
% 7.57/1.39 introduced(split_symbol_definition)).
% 7.57/1.39 fof(f12735,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|~para(X0,X1,X2,X3)|~spl0_416)),
% 7.57/1.39 inference(component_clause,[status(thm)],[f12734])).
% 7.57/1.39 fof(f12737,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X0,X1,X2,X3)|para(X4,X5,X4,X5))),
% 7.57/1.39 inference(resolution,[status(thm)],[f3099,f271])).
% 7.57/1.39 fof(f12738,plain,(
% 7.57/1.39 spl0_416|spl0_169),
% 7.57/1.39 inference(split_clause,[status(thm)],[f12737,f12734,f3120])).
% 7.57/1.39 fof(f12755,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|~spl0_416)),
% 7.57/1.39 inference(duplicate_literals_removal,[status(esa)],[f12735])).
% 7.57/1.39 fof(f12780,plain,(
% 7.57/1.39 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|~spl0_416)),
% 7.57/1.39 inference(backward_subsumption_resolution,[status(thm)],[f117,f12755])).
% 7.57/1.39 fof(f12796,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|~spl0_416)),
% 7.57/1.39 inference(backward_subsumption_resolution,[status(thm)],[f114,f12780])).
% 7.57/1.39 fof(f12893,plain,(
% 7.57/1.39 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~spl0_416)),
% 7.57/1.39 inference(backward_subsumption_resolution,[status(thm)],[f1491,f12796])).
% 7.57/1.39 fof(f12901,plain,(
% 7.57/1.39 $false|~spl0_416),
% 7.57/1.39 inference(backward_subsumption_resolution,[status(thm)],[f372,f12893])).
% 7.57/1.39 fof(f12902,plain,(
% 7.57/1.39 ~spl0_416),
% 7.57/1.39 inference(contradiction_clause,[status(thm)],[f12901])).
% 7.57/1.40 fof(f12903,plain,(
% 7.57/1.40 $false),
% 7.57/1.40 inference(sat_refutation,[status(thm)],[f4861,f7465,f7546,f7557,f12738,f12902])).
% 7.57/1.40 % SZS output end CNFRefutation for theBenchmark.p
% 7.57/1.43 % Elapsed time: 1.102126 seconds
% 7.57/1.43 % CPU time: 7.913561 seconds
% 7.57/1.43 % Memory used: 99.061 MB
%------------------------------------------------------------------------------