TSTP Solution File: GEO564+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO564+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:09:10 EDT 2023
% Result : Theorem 16.38s 2.45s
% Output : CNFRefutation 16.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO564+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:47:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 16.38/2.45 % Refutation found
% 16.38/2.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.38/2.45 % SZS output start CNFRefutation for theBenchmark
% 16.38/2.45 fof(f1,axiom,(
% 16.38/2.45 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f2,axiom,(
% 16.38/2.45 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f3,axiom,(
% 16.38/2.45 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f7,axiom,(
% 16.38/2.45 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f8,axiom,(
% 16.38/2.45 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f9,axiom,(
% 16.38/2.45 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f17,axiom,(
% 16.38/2.45 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f19,axiom,(
% 16.38/2.45 (! [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) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f21,axiom,(
% 16.38/2.45 (! [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) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f22,axiom,(
% 16.38/2.45 (! [A,B,C,D,P,Q,U,V,E,F,G,H] :( ( eqangle(A,B,C,D,P,Q,U,V)& eqangle(P,Q,U,V,E,F,G,H) )=> eqangle(A,B,C,D,E,F,G,H) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f39,axiom,(
% 16.38/2.45 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f40,axiom,(
% 16.38/2.45 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f41,axiom,(
% 16.38/2.45 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f43,axiom,(
% 16.38/2.45 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f44,axiom,(
% 16.38/2.45 (! [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) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f53,axiom,(
% 16.38/2.45 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f57,axiom,(
% 16.38/2.45 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f58,axiom,(
% 16.38/2.45 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f67,axiom,(
% 16.38/2.45 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f68,axiom,(
% 16.38/2.45 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f75,axiom,(
% 16.38/2.45 (! [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) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f95,conjecture,(
% 16.38/2.45 (! [A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :( ( perp(A,B,C,H)& perp(A,C,B,H)& perp(B,C,A,H)& midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,O)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,O)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,O)& midp(MIDPNT4,A,H)& perp(A,H,MIDPNT4,OC)& midp(MIDPNT5,A,B)& perp(A,B,MIDPNT5,OC)& midp(MIDPNT6,H,B)& perp(H,B,MIDPNT6,OC)& midp(MIDPNT7,B,H)& perp(B,H,MIDPNT7,OA)& midp(MIDPNT8,B,C)& perp(B,C,MIDPNT8,OA)& midp(MIDPNT9,H,C)& perp(H,C,MIDPNT9,OA)& midp(MIDPNT01,C,H)& perp(C,H,MIDPNT01,OB)& midp(MIDPNT11,C,A)& perp(C,A,MIDPNT11,OB)& midp(MIDPNT21,H,A)& perp(H,A,MIDPNT21,OB) )=> ( eqangle(B,A,A,C,OB,OA,OA,OC)& ( eqangle(A,B,B,C,OA,OB,OB,OC)| eqangle(B,A,A,C,OB,OA,OA,OC) )& ( eqangle(A,B,B,C,OA,OC,OC,OB)| eqangle(B,A,A,C,OA,OB,OB,OC) )& ( eqangle(A,B,B,C,OB,OA,OA,OC)| eqangle(B,A,A,C,OA,OB,OB,OC) )& ( eqangle(A,B,B,C,OA,OC,OC,OB)| eqangle(B,A,A,C,OA,OC,OC,OB) )& ( eqangle(A,B,B,C,OB,OA,OA,OC)| eqangle(B,A,A,C,OA,OC,OC,OB) )& eqangle(A,B,B,C,OA,OB,OB,OC) ) ) )),
% 16.38/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.38/2.45 fof(f96,negated_conjecture,(
% 16.38/2.45 ~((! [A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :( ( perp(A,B,C,H)& perp(A,C,B,H)& perp(B,C,A,H)& midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,O)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,O)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,O)& midp(MIDPNT4,A,H)& perp(A,H,MIDPNT4,OC)& midp(MIDPNT5,A,B)& perp(A,B,MIDPNT5,OC)& midp(MIDPNT6,H,B)& perp(H,B,MIDPNT6,OC)& midp(MIDPNT7,B,H)& perp(B,H,MIDPNT7,OA)& midp(MIDPNT8,B,C)& perp(B,C,MIDPNT8,OA)& midp(MIDPNT9,H,C)& perp(H,C,MIDPNT9,OA)& midp(MIDPNT01,C,H)& perp(C,H,MIDPNT01,OB)& midp(MIDPNT11,C,A)& perp(C,A,MIDPNT11,OB)& midp(MIDPNT21,H,A)& perp(H,A,MIDPNT21,OB) )=> ( eqangle(B,A,A,C,OB,OA,OA,OC)& ( eqangle(A,B,B,C,OA,OB,OB,OC)| eqangle(B,A,A,C,OB,OA,OA,OC) )& ( eqangle(A,B,B,C,OA,OC,OC,OB)| eqangle(B,A,A,C,OA,OB,OB,OC) )& ( eqangle(A,B,B,C,OB,OA,OA,OC)| eqangle(B,A,A,C,OA,OB,OB,OC) )& ( eqangle(A,B,B,C,OA,OC,OC,OB)| eqangle(B,A,A,C,OA,OC,OC,OB) )& ( eqangle(A,B,B,C,OB,OA,OA,OC)| eqangle(B,A,A,C,OA,OC,OC,OB) )& eqangle(A,B,B,C,OA,OB,OB,OC) ) ) ))),
% 16.38/2.45 inference(negated_conjecture,[status(cth)],[f95])).
% 16.38/2.45 fof(f97,plain,(
% 16.38/2.45 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 16.38/2.45 fof(f98,plain,(
% 16.38/2.45 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f97])).
% 16.38/2.45 fof(f99,plain,(
% 16.38/2.45 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 16.38/2.45 fof(f100,plain,(
% 16.38/2.45 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f99])).
% 16.38/2.45 fof(f101,plain,(
% 16.38/2.45 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 16.38/2.45 fof(f102,plain,(
% 16.38/2.45 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f101])).
% 16.38/2.45 fof(f103,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f102])).
% 16.38/2.45 fof(f111,plain,(
% 16.38/2.45 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 16.38/2.45 fof(f112,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f111])).
% 16.38/2.45 fof(f113,plain,(
% 16.38/2.45 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 16.38/2.45 fof(f114,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f113])).
% 16.38/2.45 fof(f115,plain,(
% 16.38/2.45 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 16.38/2.45 fof(f116,plain,(
% 16.38/2.45 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f115])).
% 16.38/2.45 fof(f117,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f116])).
% 16.38/2.45 fof(f134,plain,(
% 16.38/2.45 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 16.38/2.45 fof(f135,plain,(
% 16.38/2.45 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f134])).
% 16.38/2.45 fof(f136,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f135])).
% 16.38/2.45 fof(f139,plain,(
% 16.38/2.45 ![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))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 16.38/2.45 fof(f140,plain,(
% 16.38/2.45 ![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))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f139])).
% 16.38/2.45 fof(f143,plain,(
% 16.38/2.45 ![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))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 16.38/2.45 fof(f144,plain,(
% 16.38/2.45 ![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))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f143])).
% 16.38/2.45 fof(f145,plain,(
% 16.38/2.45 ![A,B,C,D,P,Q,U,V,E,F,G,H]: ((~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H))|eqangle(A,B,C,D,E,F,G,H))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 16.38/2.45 fof(f146,plain,(
% 16.38/2.45 ![A,B,C,D,E,F,G,H]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~eqangle(P,Q,U,V,E,F,G,H)))|eqangle(A,B,C,D,E,F,G,H))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f145])).
% 16.38/2.45 fof(f147,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~eqangle(X4,X5,X6,X7,X8,X9,X10,X11)|eqangle(X0,X1,X2,X3,X8,X9,X10,X11))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f146])).
% 16.38/2.45 fof(f184,plain,(
% 16.38/2.45 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 16.38/2.45 fof(f185,plain,(
% 16.38/2.45 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f184])).
% 16.38/2.45 fof(f186,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f185])).
% 16.38/2.45 fof(f187,plain,(
% 16.38/2.45 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 16.38/2.45 fof(f188,plain,(
% 16.38/2.45 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f187])).
% 16.38/2.45 fof(f189,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f188])).
% 16.38/2.45 fof(f190,plain,(
% 16.38/2.45 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 16.38/2.45 fof(f191,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f190])).
% 16.38/2.45 fof(f194,plain,(
% 16.38/2.45 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 16.38/2.45 fof(f195,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f194])).
% 16.38/2.45 fof(f196,plain,(
% 16.38/2.45 ![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))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 16.38/2.45 fof(f197,plain,(
% 16.38/2.45 ![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))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f196])).
% 16.38/2.45 fof(f198,plain,(
% 16.38/2.45 ![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))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f197])).
% 16.38/2.45 fof(f220,plain,(
% 16.38/2.45 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 16.38/2.45 fof(f221,plain,(
% 16.38/2.45 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f220])).
% 16.38/2.45 fof(f222,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f221])).
% 16.38/2.45 fof(f231,plain,(
% 16.38/2.45 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 16.38/2.45 fof(f232,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f231])).
% 16.38/2.45 fof(f233,plain,(
% 16.38/2.45 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 16.38/2.45 fof(f234,plain,(
% 16.38/2.45 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f233])).
% 16.38/2.45 fof(f235,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f234])).
% 16.38/2.45 fof(f255,plain,(
% 16.38/2.45 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 16.38/2.45 fof(f256,plain,(
% 16.38/2.45 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f255])).
% 16.38/2.45 fof(f257,plain,(
% 16.38/2.45 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 16.38/2.45 fof(f258,plain,(
% 16.38/2.45 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f257])).
% 16.38/2.45 fof(f272,plain,(
% 16.38/2.45 ![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))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 16.38/2.45 fof(f273,plain,(
% 16.38/2.45 ![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))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f272])).
% 16.38/2.45 fof(f274,plain,(
% 16.38/2.45 ![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))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f273])).
% 16.38/2.45 fof(f369,plain,(
% 16.38/2.45 (?[A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21]: (((((((((((((((((((((((((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,O))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O))&midp(MIDPNT4,A,H))&perp(A,H,MIDPNT4,OC))&midp(MIDPNT5,A,B))&perp(A,B,MIDPNT5,OC))&midp(MIDPNT6,H,B))&perp(H,B,MIDPNT6,OC))&midp(MIDPNT7,B,H))&perp(B,H,MIDPNT7,OA))&midp(MIDPNT8,B,C))&perp(B,C,MIDPNT8,OA))&midp(MIDPNT9,H,C))&perp(H,C,MIDPNT9,OA))&midp(MIDPNT01,C,H))&perp(C,H,MIDPNT01,OB))&midp(MIDPNT11,C,A))&perp(C,A,MIDPNT11,OB))&midp(MIDPNT21,H,A))&perp(H,A,MIDPNT21,OB))&((((((~eqangle(B,A,A,C,OB,OA,OA,OC)|(~eqangle(A,B,B,C,OA,OB,OB,OC)&~eqangle(B,A,A,C,OB,OA,OA,OC)))|(~eqangle(A,B,B,C,OA,OC,OC,OB)&~eqangle(B,A,A,C,OA,OB,OB,OC)))|(~eqangle(A,B,B,C,OB,OA,OA,OC)&~eqangle(B,A,A,C,OA,OB,OB,OC)))|(~eqangle(A,B,B,C,OA,OC,OC,OB)&~eqangle(B,A,A,C,OA,OC,OC,OB)))|(~eqangle(A,B,B,C,OB,OA,OA,OC)&~eqangle(B,A,A,C,OA,OC,OC,OB)))|~eqangle(A,B,B,C,OA,OB,OB,OC))))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 16.38/2.45 fof(f370,plain,(
% 16.38/2.45 ![A,B,C,OC,OA,OB]: (pd0_0(OB,OA,OC,C,B,A)=>(~eqangle(A,B,B,C,OA,OB,OB,OC)&~eqangle(B,A,A,C,OB,OA,OA,OC)))),
% 16.38/2.45 introduced(predicate_definition,[f369])).
% 16.38/2.45 fof(f371,plain,(
% 16.38/2.45 ![A,B,C,OC,OA,OB]: (pd0_1(OB,OA,OC,C,B,A)=>(~eqangle(A,B,B,C,OA,OC,OC,OB)&~eqangle(B,A,A,C,OA,OB,OB,OC)))),
% 16.38/2.45 introduced(predicate_definition,[f369])).
% 16.38/2.45 fof(f372,plain,(
% 16.38/2.45 ![A,B,C,OC,OA,OB]: (pd0_2(OB,OA,OC,C,B,A)=>(~eqangle(A,B,B,C,OB,OA,OA,OC)&~eqangle(B,A,A,C,OA,OB,OB,OC)))),
% 16.38/2.45 introduced(predicate_definition,[f369])).
% 16.38/2.45 fof(f373,plain,(
% 16.38/2.45 ![A,B,C,OC,OA,OB]: (pd0_3(OB,OA,OC,C,B,A)=>(~eqangle(A,B,B,C,OA,OC,OC,OB)&~eqangle(B,A,A,C,OA,OC,OC,OB)))),
% 16.38/2.45 introduced(predicate_definition,[f369])).
% 16.38/2.45 fof(f374,plain,(
% 16.38/2.45 ?[A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21]: (((((((((((((((((((((((((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,O))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O))&midp(MIDPNT4,A,H))&perp(A,H,MIDPNT4,OC))&midp(MIDPNT5,A,B))&perp(A,B,MIDPNT5,OC))&midp(MIDPNT6,H,B))&perp(H,B,MIDPNT6,OC))&midp(MIDPNT7,B,H))&perp(B,H,MIDPNT7,OA))&midp(MIDPNT8,B,C))&perp(B,C,MIDPNT8,OA))&midp(MIDPNT9,H,C))&perp(H,C,MIDPNT9,OA))&midp(MIDPNT01,C,H))&perp(C,H,MIDPNT01,OB))&midp(MIDPNT11,C,A))&perp(C,A,MIDPNT11,OB))&midp(MIDPNT21,H,A))&perp(H,A,MIDPNT21,OB))&((((((~eqangle(B,A,A,C,OB,OA,OA,OC)|pd0_0(OB,OA,OC,C,B,A))|pd0_1(OB,OA,OC,C,B,A))|pd0_2(OB,OA,OC,C,B,A))|pd0_3(OB,OA,OC,C,B,A))|(~eqangle(A,B,B,C,OB,OA,OA,OC)&~eqangle(B,A,A,C,OA,OC,OC,OB)))|~eqangle(A,B,B,C,OA,OB,OB,OC)))),
% 16.38/2.45 inference(formula_renaming,[status(thm)],[f369,f373,f372,f371,f370])).
% 16.38/2.45 fof(f375,plain,(
% 16.38/2.45 ?[A,B,C,OC,OA,OB]: ((?[H,MIDPNT21]: (((?[MIDPNT11]: (((?[MIDPNT01]: (((?[MIDPNT9]: (((?[MIDPNT8]: (((?[MIDPNT7]: (((?[MIDPNT6]: (((?[MIDPNT5]: (((?[MIDPNT4]: (((?[O,MIDPNT3]: (((?[MIDPNT2]: (((?[MIDPNT1]: ((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,O)))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O)))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O)))&midp(MIDPNT4,A,H))&perp(A,H,MIDPNT4,OC)))&midp(MIDPNT5,A,B))&perp(A,B,MIDPNT5,OC)))&midp(MIDPNT6,H,B))&perp(H,B,MIDPNT6,OC)))&midp(MIDPNT7,B,H))&perp(B,H,MIDPNT7,OA)))&midp(MIDPNT8,B,C))&perp(B,C,MIDPNT8,OA)))&midp(MIDPNT9,H,C))&perp(H,C,MIDPNT9,OA)))&midp(MIDPNT01,C,H))&perp(C,H,MIDPNT01,OB)))&midp(MIDPNT11,C,A))&perp(C,A,MIDPNT11,OB)))&midp(MIDPNT21,H,A))&perp(H,A,MIDPNT21,OB)))&((((((~eqangle(B,A,A,C,OB,OA,OA,OC)|pd0_0(OB,OA,OC,C,B,A))|pd0_1(OB,OA,OC,C,B,A))|pd0_2(OB,OA,OC,C,B,A))|pd0_3(OB,OA,OC,C,B,A))|(~eqangle(A,B,B,C,OB,OA,OA,OC)&~eqangle(B,A,A,C,OA,OC,OC,OB)))|~eqangle(A,B,B,C,OA,OB,OB,OC)))),
% 16.38/2.45 inference(miniscoping,[status(esa)],[f374])).
% 16.38/2.45 fof(f376,plain,(
% 16.38/2.45 (((((((((((((((((((((((((((perp(sk0_20,sk0_21,sk0_22,sk0_26)&perp(sk0_20,sk0_22,sk0_21,sk0_26))&perp(sk0_21,sk0_22,sk0_20,sk0_26))&midp(sk0_39,sk0_20,sk0_21))&perp(sk0_20,sk0_21,sk0_39,sk0_36))&midp(sk0_38,sk0_20,sk0_22))&perp(sk0_20,sk0_22,sk0_38,sk0_36))&midp(sk0_37,sk0_21,sk0_22))&perp(sk0_21,sk0_22,sk0_37,sk0_36))&midp(sk0_35,sk0_20,sk0_26))&perp(sk0_20,sk0_26,sk0_35,sk0_23))&midp(sk0_34,sk0_20,sk0_21))&perp(sk0_20,sk0_21,sk0_34,sk0_23))&midp(sk0_33,sk0_26,sk0_21))&perp(sk0_26,sk0_21,sk0_33,sk0_23))&midp(sk0_32,sk0_21,sk0_26))&perp(sk0_21,sk0_26,sk0_32,sk0_24))&midp(sk0_31,sk0_21,sk0_22))&perp(sk0_21,sk0_22,sk0_31,sk0_24))&midp(sk0_30,sk0_26,sk0_22))&perp(sk0_26,sk0_22,sk0_30,sk0_24))&midp(sk0_29,sk0_22,sk0_26))&perp(sk0_22,sk0_26,sk0_29,sk0_25))&midp(sk0_28,sk0_22,sk0_20))&perp(sk0_22,sk0_20,sk0_28,sk0_25))&midp(sk0_27,sk0_26,sk0_20))&perp(sk0_26,sk0_20,sk0_27,sk0_25))&((((((~eqangle(sk0_21,sk0_20,sk0_20,sk0_22,sk0_25,sk0_24,sk0_24,sk0_23)|pd0_0(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20))|pd0_1(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20))|pd0_2(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20))|pd0_3(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20))|(~eqangle(sk0_20,sk0_21,sk0_21,sk0_22,sk0_25,sk0_24,sk0_24,sk0_23)&~eqangle(sk0_21,sk0_20,sk0_20,sk0_22,sk0_24,sk0_23,sk0_23,sk0_25)))|~eqangle(sk0_20,sk0_21,sk0_21,sk0_22,sk0_24,sk0_25,sk0_25,sk0_23)))),
% 16.38/2.45 inference(skolemization,[status(esa)],[f375])).
% 16.38/2.45 fof(f397,plain,(
% 16.38/2.45 perp(sk0_26,sk0_22,sk0_30,sk0_24)),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f376])).
% 16.38/2.45 fof(f404,plain,(
% 16.38/2.45 ~eqangle(sk0_21,sk0_20,sk0_20,sk0_22,sk0_25,sk0_24,sk0_24,sk0_23)|pd0_0(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|pd0_1(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|pd0_2(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|pd0_3(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|~eqangle(sk0_20,sk0_21,sk0_21,sk0_22,sk0_25,sk0_24,sk0_24,sk0_23)|~eqangle(sk0_20,sk0_21,sk0_21,sk0_22,sk0_24,sk0_25,sk0_25,sk0_23)),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f376])).
% 16.38/2.45 fof(f406,plain,(
% 16.38/2.45 ![A,B,C,OC,OA,OB]: (~pd0_0(OB,OA,OC,C,B,A)|(~eqangle(A,B,B,C,OA,OB,OB,OC)&~eqangle(B,A,A,C,OB,OA,OA,OC)))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f370])).
% 16.38/2.45 fof(f408,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3,X4,X5)|~eqangle(X4,X5,X5,X3,X0,X1,X1,X2))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f406])).
% 16.38/2.45 fof(f409,plain,(
% 16.38/2.45 ![A,B,C,OC,OA,OB]: (~pd0_1(OB,OA,OC,C,B,A)|(~eqangle(A,B,B,C,OA,OC,OC,OB)&~eqangle(B,A,A,C,OA,OB,OB,OC)))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f371])).
% 16.38/2.45 fof(f411,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~pd0_1(X0,X1,X2,X3,X4,X5)|~eqangle(X4,X5,X5,X3,X1,X0,X0,X2))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f409])).
% 16.38/2.45 fof(f412,plain,(
% 16.38/2.45 ![A,B,C,OC,OA,OB]: (~pd0_2(OB,OA,OC,C,B,A)|(~eqangle(A,B,B,C,OB,OA,OA,OC)&~eqangle(B,A,A,C,OA,OB,OB,OC)))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f372])).
% 16.38/2.45 fof(f414,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~pd0_2(X0,X1,X2,X3,X4,X5)|~eqangle(X4,X5,X5,X3,X1,X0,X0,X2))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f412])).
% 16.38/2.45 fof(f415,plain,(
% 16.38/2.45 ![A,B,C,OC,OA,OB]: (~pd0_3(OB,OA,OC,C,B,A)|(~eqangle(A,B,B,C,OA,OC,OC,OB)&~eqangle(B,A,A,C,OA,OC,OC,OB)))),
% 16.38/2.45 inference(pre_NNF_transformation,[status(esa)],[f373])).
% 16.38/2.45 fof(f417,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~pd0_3(X0,X1,X2,X3,X4,X5)|~eqangle(X4,X5,X5,X3,X1,X2,X2,X0))),
% 16.38/2.45 inference(cnf_transformation,[status(esa)],[f415])).
% 16.38/2.45 fof(f418,plain,(
% 16.38/2.45 spl0_0 <=> eqangle(sk0_21,sk0_20,sk0_20,sk0_22,sk0_25,sk0_24,sk0_24,sk0_23)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f420,plain,(
% 16.38/2.45 ~eqangle(sk0_21,sk0_20,sk0_20,sk0_22,sk0_25,sk0_24,sk0_24,sk0_23)|spl0_0),
% 16.38/2.45 inference(component_clause,[status(thm)],[f418])).
% 16.38/2.45 fof(f421,plain,(
% 16.38/2.45 spl0_1 <=> pd0_0(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f422,plain,(
% 16.38/2.45 pd0_0(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|~spl0_1),
% 16.38/2.45 inference(component_clause,[status(thm)],[f421])).
% 16.38/2.45 fof(f424,plain,(
% 16.38/2.45 spl0_2 <=> pd0_1(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f425,plain,(
% 16.38/2.45 pd0_1(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|~spl0_2),
% 16.38/2.45 inference(component_clause,[status(thm)],[f424])).
% 16.38/2.45 fof(f427,plain,(
% 16.38/2.45 spl0_3 <=> pd0_2(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f428,plain,(
% 16.38/2.45 pd0_2(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|~spl0_3),
% 16.38/2.45 inference(component_clause,[status(thm)],[f427])).
% 16.38/2.45 fof(f430,plain,(
% 16.38/2.45 spl0_4 <=> pd0_3(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f431,plain,(
% 16.38/2.45 pd0_3(sk0_25,sk0_24,sk0_23,sk0_22,sk0_21,sk0_20)|~spl0_4),
% 16.38/2.45 inference(component_clause,[status(thm)],[f430])).
% 16.38/2.45 fof(f433,plain,(
% 16.38/2.45 spl0_5 <=> eqangle(sk0_20,sk0_21,sk0_21,sk0_22,sk0_25,sk0_24,sk0_24,sk0_23)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f435,plain,(
% 16.38/2.45 ~eqangle(sk0_20,sk0_21,sk0_21,sk0_22,sk0_25,sk0_24,sk0_24,sk0_23)|spl0_5),
% 16.38/2.45 inference(component_clause,[status(thm)],[f433])).
% 16.38/2.45 fof(f436,plain,(
% 16.38/2.45 spl0_6 <=> eqangle(sk0_20,sk0_21,sk0_21,sk0_22,sk0_24,sk0_25,sk0_25,sk0_23)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f438,plain,(
% 16.38/2.45 ~eqangle(sk0_20,sk0_21,sk0_21,sk0_22,sk0_24,sk0_25,sk0_25,sk0_23)|spl0_6),
% 16.38/2.45 inference(component_clause,[status(thm)],[f436])).
% 16.38/2.45 fof(f439,plain,(
% 16.38/2.45 ~spl0_0|spl0_1|spl0_2|spl0_3|spl0_4|~spl0_5|~spl0_6),
% 16.38/2.45 inference(split_clause,[status(thm)],[f404,f418,f421,f424,f427,f430,f433,f436])).
% 16.38/2.45 fof(f753,plain,(
% 16.38/2.45 ![X0,X1]: (~perp(X0,X1,sk0_26,sk0_22)|para(X0,X1,sk0_30,sk0_24))),
% 16.38/2.45 inference(resolution,[status(thm)],[f397,f117])).
% 16.38/2.45 fof(f754,plain,(
% 16.38/2.45 perp(sk0_30,sk0_24,sk0_26,sk0_22)),
% 16.38/2.45 inference(resolution,[status(thm)],[f397,f114])).
% 16.38/2.45 fof(f3299,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~para(X0,X1,X2,X3)|~eqangle(X4,X5,X6,X7,X0,X1,X8,X9)|eqangle(X4,X5,X6,X7,X2,X3,X8,X9))),
% 16.38/2.45 inference(resolution,[status(thm)],[f189,f147])).
% 16.38/2.45 fof(f3307,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 16.38/2.45 inference(resolution,[status(thm)],[f189,f144])).
% 16.38/2.45 fof(f3309,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 16.38/2.45 inference(resolution,[status(thm)],[f189,f140])).
% 16.38/2.45 fof(f3838,plain,(
% 16.38/2.45 para(sk0_30,sk0_24,sk0_30,sk0_24)),
% 16.38/2.45 inference(resolution,[status(thm)],[f753,f754])).
% 16.38/2.45 fof(f8729,plain,(
% 16.38/2.45 spl0_1011 <=> ~para(X0,X1,X2,X3)|perp(X0,X1,X2,X3)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f8730,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|perp(X0,X1,X2,X3)|~spl0_1011)),
% 16.38/2.45 inference(component_clause,[status(thm)],[f8729])).
% 16.38/2.45 fof(f8732,plain,(
% 16.38/2.45 spl0_1012 <=> ~perp(X4,X5,X4,X5)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f8733,plain,(
% 16.38/2.45 ![X0,X1]: (~perp(X0,X1,X0,X1)|~spl0_1012)),
% 16.38/2.45 inference(component_clause,[status(thm)],[f8732])).
% 16.38/2.45 fof(f8735,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X4,X5,X4,X5)|perp(X0,X1,X2,X3))),
% 16.38/2.45 inference(resolution,[status(thm)],[f3307,f274])).
% 16.38/2.45 fof(f8736,plain,(
% 16.38/2.45 spl0_1011|spl0_1012),
% 16.38/2.45 inference(split_clause,[status(thm)],[f8735,f8729,f8732])).
% 16.38/2.45 fof(f8819,plain,(
% 16.38/2.45 spl0_1013 <=> ~para(X0,X1,X0,X1)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f8820,plain,(
% 16.38/2.45 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_1013)),
% 16.38/2.45 inference(component_clause,[status(thm)],[f8819])).
% 16.38/2.45 fof(f8885,plain,(
% 16.38/2.45 $false|~spl0_1013),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f3838,f8820])).
% 16.38/2.45 fof(f8886,plain,(
% 16.38/2.45 ~spl0_1013),
% 16.38/2.45 inference(contradiction_clause,[status(thm)],[f8885])).
% 16.38/2.45 fof(f9255,plain,(
% 16.38/2.45 spl0_1029 <=> para(X2,X3,X2,X3)),
% 16.38/2.45 introduced(split_symbol_definition)).
% 16.38/2.45 fof(f9256,plain,(
% 16.38/2.45 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_1029)),
% 16.38/2.45 inference(component_clause,[status(thm)],[f9255])).
% 16.38/2.45 fof(f9258,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 16.38/2.45 inference(resolution,[status(thm)],[f3309,f186])).
% 16.38/2.45 fof(f9259,plain,(
% 16.38/2.45 spl0_1013|spl0_1029),
% 16.38/2.45 inference(split_clause,[status(thm)],[f9258,f8819,f9255])).
% 16.38/2.45 fof(f9443,plain,(
% 16.38/2.45 ![X0,X1]: (perp(X0,X1,X0,X1)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(resolution,[status(thm)],[f9256,f8730])).
% 16.38/2.45 fof(f9446,plain,(
% 16.38/2.45 ![X0,X1]: (coll(X0,X1,X1)|~spl0_1029)),
% 16.38/2.45 inference(resolution,[status(thm)],[f9256,f256])).
% 16.38/2.45 fof(f9468,plain,(
% 16.38/2.45 ![X0,X1]: (coll(X0,X1,X0)|~spl0_1029)),
% 16.38/2.45 inference(resolution,[status(thm)],[f9446,f100])).
% 16.38/2.45 fof(f9473,plain,(
% 16.38/2.45 ![X0,X1]: (coll(X0,X0,X1)|~spl0_1029)),
% 16.38/2.45 inference(resolution,[status(thm)],[f9468,f98])).
% 16.38/2.45 fof(f9474,plain,(
% 16.38/2.45 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_1029)),
% 16.38/2.45 inference(resolution,[status(thm)],[f9473,f103])).
% 16.38/2.45 fof(f9475,plain,(
% 16.38/2.45 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_1029)),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f9474,f9473])).
% 16.38/2.45 fof(f9483,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_1029)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f195,f9475])).
% 16.38/2.45 fof(f9484,plain,(
% 16.38/2.45 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_1029)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f258,f9475])).
% 16.38/2.45 fof(f9553,plain,(
% 16.38/2.45 ![X0,X1]: (perp(X0,X1,X1,X0)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(resolution,[status(thm)],[f9443,f112])).
% 16.38/2.45 fof(f9588,plain,(
% 16.38/2.45 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(resolution,[status(thm)],[f9553,f222])).
% 16.38/2.45 fof(f9782,plain,(
% 16.38/2.45 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_1029)),
% 16.38/2.45 inference(resolution,[status(thm)],[f9483,f3307])).
% 16.38/2.45 fof(f9783,plain,(
% 16.38/2.45 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_1029)),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f9782,f9256])).
% 16.38/2.45 fof(f10318,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_1029)),
% 16.38/2.45 inference(resolution,[status(thm)],[f9783,f136])).
% 16.38/2.45 fof(f10319,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_1029)),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f10318,f9783])).
% 16.38/2.45 fof(f10331,plain,(
% 16.38/2.45 ![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_1029)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f198,f10319])).
% 16.38/2.45 fof(f10332,plain,(
% 16.38/2.45 ![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_1029)),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f10331,f10319])).
% 16.38/2.45 fof(f10333,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_1029)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f191,f10319])).
% 16.38/2.45 fof(f10335,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_1029)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f235,f10319])).
% 16.38/2.45 fof(f10399,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_1029)),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f10332,f10319])).
% 16.38/2.45 fof(f10410,plain,(
% 16.38/2.45 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_1029)),
% 16.38/2.45 inference(resolution,[status(thm)],[f10333,f10399])).
% 16.38/2.45 fof(f10485,plain,(
% 16.38/2.45 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_1029)),
% 16.38/2.45 inference(resolution,[status(thm)],[f10410,f10335])).
% 16.38/2.45 fof(f10486,plain,(
% 16.38/2.45 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_1029)),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f10485,f10410])).
% 16.38/2.45 fof(f10487,plain,(
% 16.38/2.45 ![X0,X1]: (midp(X0,X1,X1)|~spl0_1029)),
% 16.38/2.45 inference(resolution,[status(thm)],[f10410,f9484])).
% 16.38/2.45 fof(f10525,plain,(
% 16.38/2.45 $false|~spl0_1029|~spl0_1012),
% 16.38/2.45 inference(resolution,[status(thm)],[f10486,f8733])).
% 16.38/2.45 fof(f10526,plain,(
% 16.38/2.45 ~spl0_1029|~spl0_1012),
% 16.38/2.45 inference(contradiction_clause,[status(thm)],[f10525])).
% 16.38/2.45 fof(f10534,plain,(
% 16.38/2.45 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f9588,f10487])).
% 16.38/2.45 fof(f10675,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f232,f10534])).
% 16.38/2.45 fof(f10676,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f10675,f10534])).
% 16.38/2.45 fof(f10738,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f117,f10676])).
% 16.38/2.45 fof(f10739,plain,(
% 16.38/2.45 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f10738,f10676])).
% 16.38/2.45 fof(f10791,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f3307,f10739])).
% 16.38/2.45 fof(f10798,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X2,X3,X8,X9,X6,X7)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f3299,f10739])).
% 16.38/2.45 fof(f12273,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(resolution,[status(thm)],[f10798,f10791])).
% 16.38/2.45 fof(f14843,plain,(
% 16.38/2.45 $false|~spl0_1029|~spl0_1011|spl0_5),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f435,f12273])).
% 16.38/2.45 fof(f14844,plain,(
% 16.38/2.45 ~spl0_1029|~spl0_1011|spl0_5),
% 16.38/2.45 inference(contradiction_clause,[status(thm)],[f14843])).
% 16.38/2.45 fof(f14847,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~pd0_3(X0,X1,X2,X3,X4,X5)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f417,f12273])).
% 16.38/2.45 fof(f14849,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~pd0_2(X0,X1,X2,X3,X4,X5)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f414,f12273])).
% 16.38/2.45 fof(f14851,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~pd0_1(X0,X1,X2,X3,X4,X5)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f411,f12273])).
% 16.38/2.45 fof(f14853,plain,(
% 16.38/2.45 ![X0,X1,X2,X3,X4,X5]: (~pd0_0(X0,X1,X2,X3,X4,X5)|~spl0_1029|~spl0_1011)),
% 16.38/2.45 inference(backward_subsumption_resolution,[status(thm)],[f408,f12273])).
% 16.38/2.45 fof(f14863,plain,(
% 16.38/2.45 $false|~spl0_1029|~spl0_1011|spl0_6),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f438,f12273])).
% 16.38/2.45 fof(f14864,plain,(
% 16.38/2.45 ~spl0_1029|~spl0_1011|spl0_6),
% 16.38/2.45 inference(contradiction_clause,[status(thm)],[f14863])).
% 16.38/2.45 fof(f14865,plain,(
% 16.38/2.45 $false|~spl0_1029|~spl0_1011|spl0_0),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f420,f12273])).
% 16.38/2.45 fof(f14866,plain,(
% 16.38/2.45 ~spl0_1029|~spl0_1011|spl0_0),
% 16.38/2.45 inference(contradiction_clause,[status(thm)],[f14865])).
% 16.38/2.45 fof(f14886,plain,(
% 16.38/2.45 $false|~spl0_1029|~spl0_1011|~spl0_4),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f431,f14847])).
% 16.38/2.45 fof(f14887,plain,(
% 16.38/2.45 ~spl0_1029|~spl0_1011|~spl0_4),
% 16.38/2.45 inference(contradiction_clause,[status(thm)],[f14886])).
% 16.38/2.45 fof(f14888,plain,(
% 16.38/2.45 $false|~spl0_1029|~spl0_1011|~spl0_3),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f428,f14849])).
% 16.38/2.45 fof(f14889,plain,(
% 16.38/2.45 ~spl0_1029|~spl0_1011|~spl0_3),
% 16.38/2.45 inference(contradiction_clause,[status(thm)],[f14888])).
% 16.38/2.45 fof(f14890,plain,(
% 16.38/2.45 $false|~spl0_1029|~spl0_1011|~spl0_1),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f422,f14853])).
% 16.38/2.45 fof(f14891,plain,(
% 16.38/2.45 ~spl0_1029|~spl0_1011|~spl0_1),
% 16.38/2.45 inference(contradiction_clause,[status(thm)],[f14890])).
% 16.38/2.45 fof(f14892,plain,(
% 16.38/2.45 $false|~spl0_1029|~spl0_1011|~spl0_2),
% 16.38/2.45 inference(forward_subsumption_resolution,[status(thm)],[f425,f14851])).
% 16.38/2.45 fof(f14893,plain,(
% 16.38/2.45 ~spl0_1029|~spl0_1011|~spl0_2),
% 16.38/2.45 inference(contradiction_clause,[status(thm)],[f14892])).
% 16.38/2.45 fof(f14894,plain,(
% 16.38/2.45 $false),
% 16.38/2.45 inference(sat_refutation,[status(thm)],[f439,f8736,f8886,f9259,f10526,f14844,f14864,f14866,f14887,f14889,f14891,f14893])).
% 16.38/2.45 % SZS output end CNFRefutation for theBenchmark.p
% 16.70/2.48 % Elapsed time: 2.120075 seconds
% 16.70/2.48 % CPU time: 16.680305 seconds
% 16.70/2.48 % Memory used: 162.846 MB
%------------------------------------------------------------------------------