TSTP Solution File: GEO562+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO562+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 3.81s 0.91s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : GEO562+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n026.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 12:18:58 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.14/0.33 % Drodi V3.5.1
% 3.81/0.91 % Refutation found
% 3.81/0.91 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.81/0.91 % SZS output start CNFRefutation for theBenchmark
% 3.81/0.91 fof(f1,axiom,(
% 3.81/0.91 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f2,axiom,(
% 3.81/0.91 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f3,axiom,(
% 3.81/0.91 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f8,axiom,(
% 3.81/0.91 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f9,axiom,(
% 3.81/0.91 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f14,axiom,(
% 3.81/0.91 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f15,axiom,(
% 3.81/0.91 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f16,axiom,(
% 3.81/0.91 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f17,axiom,(
% 3.81/0.91 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f19,axiom,(
% 3.81/0.91 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(C,D,A,B,U,V,P,Q) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f20,axiom,(
% 3.81/0.91 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(P,Q,U,V,A,B,C,D) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f21,axiom,(
% 3.81/0.91 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(A,B,P,Q,C,D,U,V) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f22,axiom,(
% 3.81/0.91 (! [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) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f40,axiom,(
% 3.81/0.91 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f43,axiom,(
% 3.81/0.91 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f44,axiom,(
% 3.81/0.91 (! [A,B,C,P,Q,R] :( ( cyclic(A,B,C,P)& cyclic(A,B,C,Q)& cyclic(A,B,C,R)& eqangle(C,A,C,B,R,P,R,Q) )=> cong(A,B,P,Q) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f57,axiom,(
% 3.81/0.91 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f95,conjecture,(
% 3.81/0.91 (! [A,C,D,O,B,M,E,F,G,NWPNT1,NWPNT2] :( ( circle(O,A,C,D)& perp(C,O,A,B)& circle(O,A,B,NWPNT1)& coll(M,C,O)& coll(M,A,B)& circle(O,A,E,NWPNT2)& coll(F,A,B)& coll(F,C,D)& coll(G,A,B)& coll(G,C,E) )=> eqangle(A,G,G,C,C,D,D,E) ) )),
% 3.81/0.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.81/0.91 fof(f96,negated_conjecture,(
% 3.81/0.91 ~((! [A,C,D,O,B,M,E,F,G,NWPNT1,NWPNT2] :( ( circle(O,A,C,D)& perp(C,O,A,B)& circle(O,A,B,NWPNT1)& coll(M,C,O)& coll(M,A,B)& circle(O,A,E,NWPNT2)& coll(F,A,B)& coll(F,C,D)& coll(G,A,B)& coll(G,C,E) )=> eqangle(A,G,G,C,C,D,D,E) ) ))),
% 3.81/0.91 inference(negated_conjecture,[status(cth)],[f95])).
% 3.81/0.91 fof(f97,plain,(
% 3.81/0.91 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 3.81/0.91 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 3.81/0.91 fof(f98,plain,(
% 3.81/0.91 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 3.81/0.91 inference(cnf_transformation,[status(esa)],[f97])).
% 3.81/0.91 fof(f99,plain,(
% 3.81/0.91 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 3.81/0.91 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 3.81/0.91 fof(f100,plain,(
% 3.81/0.91 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 3.81/0.91 inference(cnf_transformation,[status(esa)],[f99])).
% 3.81/0.91 fof(f101,plain,(
% 3.81/0.91 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 3.81/0.91 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 3.81/0.91 fof(f102,plain,(
% 3.81/0.91 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 3.81/0.91 inference(miniscoping,[status(esa)],[f101])).
% 3.81/0.91 fof(f103,plain,(
% 3.81/0.92 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f102])).
% 3.81/0.92 fof(f113,plain,(
% 3.81/0.92 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.81/0.92 fof(f114,plain,(
% 3.81/0.92 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f113])).
% 3.81/0.92 fof(f115,plain,(
% 3.81/0.92 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.81/0.92 fof(f116,plain,(
% 3.81/0.92 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.81/0.92 inference(miniscoping,[status(esa)],[f115])).
% 3.81/0.92 fof(f117,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f116])).
% 3.81/0.92 fof(f128,plain,(
% 3.81/0.92 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 3.81/0.92 fof(f129,plain,(
% 3.81/0.92 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f128])).
% 3.81/0.92 fof(f130,plain,(
% 3.81/0.92 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 3.81/0.92 fof(f131,plain,(
% 3.81/0.92 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f130])).
% 3.81/0.92 fof(f132,plain,(
% 3.81/0.92 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 3.81/0.92 fof(f133,plain,(
% 3.81/0.92 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f132])).
% 3.81/0.92 fof(f134,plain,(
% 3.81/0.92 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.81/0.92 fof(f135,plain,(
% 3.81/0.92 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.81/0.92 inference(miniscoping,[status(esa)],[f134])).
% 3.81/0.92 fof(f136,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f135])).
% 3.81/0.92 fof(f139,plain,(
% 3.81/0.92 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(C,D,A,B,U,V,P,Q))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 3.81/0.92 fof(f140,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X2,X3,X0,X1,X6,X7,X4,X5))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f139])).
% 3.81/0.92 fof(f141,plain,(
% 3.81/0.92 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(P,Q,U,V,A,B,C,D))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 3.81/0.92 fof(f142,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X4,X5,X6,X7,X0,X1,X2,X3))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f141])).
% 3.81/0.92 fof(f143,plain,(
% 3.81/0.92 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(A,B,P,Q,C,D,U,V))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 3.81/0.92 fof(f144,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X0,X1,X4,X5,X2,X3,X6,X7))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f143])).
% 3.81/0.92 fof(f145,plain,(
% 3.81/0.92 ![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))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 3.81/0.92 fof(f146,plain,(
% 3.81/0.92 ![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))),
% 3.81/0.92 inference(miniscoping,[status(esa)],[f145])).
% 3.81/0.92 fof(f147,plain,(
% 3.81/0.92 ![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))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f146])).
% 3.81/0.92 fof(f187,plain,(
% 3.81/0.92 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 3.81/0.92 fof(f188,plain,(
% 3.81/0.92 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.81/0.92 inference(miniscoping,[status(esa)],[f187])).
% 3.81/0.92 fof(f189,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f188])).
% 3.81/0.92 fof(f194,plain,(
% 3.81/0.92 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 3.81/0.92 fof(f195,plain,(
% 3.81/0.92 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f194])).
% 3.81/0.92 fof(f196,plain,(
% 3.81/0.92 ![A,B,C,P,Q,R]: ((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q))|cong(A,B,P,Q))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 3.81/0.92 fof(f197,plain,(
% 3.81/0.92 ![A,B,P,Q]: ((![C,R]: (((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~cyclic(A,B,C,R))|~eqangle(C,A,C,B,R,P,R,Q)))|cong(A,B,P,Q))),
% 3.81/0.92 inference(miniscoping,[status(esa)],[f196])).
% 3.81/0.92 fof(f198,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~cyclic(X0,X1,X2,X5)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|cong(X0,X1,X3,X4))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f197])).
% 3.81/0.92 fof(f231,plain,(
% 3.81/0.92 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 3.81/0.92 fof(f232,plain,(
% 3.81/0.92 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f231])).
% 3.81/0.92 fof(f369,plain,(
% 3.81/0.92 (?[A,C,D,O,B,M,E,F,G,NWPNT1,NWPNT2]: ((((((((((circle(O,A,C,D)&perp(C,O,A,B))&circle(O,A,B,NWPNT1))&coll(M,C,O))&coll(M,A,B))&circle(O,A,E,NWPNT2))&coll(F,A,B))&coll(F,C,D))&coll(G,A,B))&coll(G,C,E))&~eqangle(A,G,G,C,C,D,D,E)))),
% 3.81/0.92 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 3.81/0.92 fof(f370,plain,(
% 3.81/0.92 ?[A,C,D,E,G]: (((?[B]: ((?[F]: (((?[O]: ((?[M]: ((((circle(O,A,C,D)&perp(C,O,A,B))&(?[NWPNT1]: circle(O,A,B,NWPNT1)))&coll(M,C,O))&coll(M,A,B)))&(?[NWPNT2]: circle(O,A,E,NWPNT2))))&coll(F,A,B))&coll(F,C,D)))&coll(G,A,B)))&coll(G,C,E))&~eqangle(A,G,G,C,C,D,D,E))),
% 3.81/0.92 inference(miniscoping,[status(esa)],[f369])).
% 3.81/0.92 fof(f371,plain,(
% 3.81/0.92 ((((((((((circle(sk0_27,sk0_20,sk0_21,sk0_22)&perp(sk0_21,sk0_27,sk0_20,sk0_25))&circle(sk0_27,sk0_20,sk0_25,sk0_29))&coll(sk0_28,sk0_21,sk0_27))&coll(sk0_28,sk0_20,sk0_25))&circle(sk0_27,sk0_20,sk0_23,sk0_30))&coll(sk0_26,sk0_20,sk0_25))&coll(sk0_26,sk0_21,sk0_22))&coll(sk0_24,sk0_20,sk0_25))&coll(sk0_24,sk0_21,sk0_23))&~eqangle(sk0_20,sk0_24,sk0_24,sk0_21,sk0_21,sk0_22,sk0_22,sk0_23))),
% 3.81/0.92 inference(skolemization,[status(esa)],[f370])).
% 3.81/0.92 fof(f373,plain,(
% 3.81/0.92 perp(sk0_21,sk0_27,sk0_20,sk0_25)),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f371])).
% 3.81/0.92 fof(f375,plain,(
% 3.81/0.92 coll(sk0_28,sk0_21,sk0_27)),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f371])).
% 3.81/0.92 fof(f382,plain,(
% 3.81/0.92 ~eqangle(sk0_20,sk0_24,sk0_24,sk0_21,sk0_21,sk0_22,sk0_22,sk0_23)),
% 3.81/0.92 inference(cnf_transformation,[status(esa)],[f371])).
% 3.81/0.92 fof(f388,plain,(
% 3.81/0.92 coll(sk0_28,sk0_27,sk0_21)),
% 3.81/0.92 inference(resolution,[status(thm)],[f98,f375])).
% 3.81/0.92 fof(f403,plain,(
% 3.81/0.92 coll(sk0_27,sk0_28,sk0_21)),
% 3.81/0.92 inference(resolution,[status(thm)],[f100,f388])).
% 3.81/0.92 fof(f443,plain,(
% 3.81/0.92 ![X0]: (~coll(sk0_27,sk0_28,X0)|coll(sk0_21,X0,sk0_27))),
% 3.81/0.92 inference(resolution,[status(thm)],[f403,f103])).
% 3.81/0.92 fof(f586,plain,(
% 3.81/0.92 perp(sk0_20,sk0_25,sk0_21,sk0_27)),
% 3.81/0.92 inference(resolution,[status(thm)],[f114,f373])).
% 3.81/0.92 fof(f633,plain,(
% 3.81/0.92 ![X0,X1]: (~perp(sk0_20,sk0_25,X0,X1)|para(sk0_21,sk0_27,X0,X1))),
% 3.81/0.92 inference(resolution,[status(thm)],[f117,f373])).
% 3.81/0.92 fof(f680,plain,(
% 3.81/0.92 para(sk0_21,sk0_27,sk0_21,sk0_27)),
% 3.81/0.92 inference(resolution,[status(thm)],[f633,f586])).
% 3.81/0.92 fof(f704,plain,(
% 3.81/0.92 coll(sk0_21,sk0_21,sk0_27)),
% 3.81/0.92 inference(resolution,[status(thm)],[f443,f403])).
% 3.81/0.92 fof(f2708,plain,(
% 3.81/0.92 ![X0,X1]: (eqangle(sk0_21,sk0_27,X0,X1,sk0_21,sk0_27,X0,X1))),
% 3.81/0.92 inference(resolution,[status(thm)],[f189,f680])).
% 3.81/0.92 fof(f2732,plain,(
% 3.81/0.92 spl0_6 <=> coll(sk0_21,sk0_21,sk0_27)),
% 3.81/0.92 introduced(split_symbol_definition)).
% 3.81/0.92 fof(f2734,plain,(
% 3.81/0.92 ~coll(sk0_21,sk0_21,sk0_27)|spl0_6),
% 3.81/0.92 inference(component_clause,[status(thm)],[f2732])).
% 3.81/0.92 fof(f2735,plain,(
% 3.81/0.92 spl0_7 <=> cyclic(sk0_27,X0,sk0_21,sk0_21)),
% 3.81/0.92 introduced(split_symbol_definition)).
% 3.81/0.92 fof(f2736,plain,(
% 3.81/0.92 ![X0]: (cyclic(sk0_27,X0,sk0_21,sk0_21)|~spl0_7)),
% 3.81/0.92 inference(component_clause,[status(thm)],[f2735])).
% 3.81/0.92 fof(f2744,plain,(
% 3.81/0.92 ![X0,X1]: (eqangle(X0,X1,sk0_21,sk0_27,X0,X1,sk0_21,sk0_27))),
% 3.81/0.92 inference(resolution,[status(thm)],[f2708,f140])).
% 3.81/0.92 fof(f3036,plain,(
% 3.81/0.92 spl0_15 <=> cyclic(X0,sk0_27,sk0_21,sk0_21)),
% 3.81/0.92 introduced(split_symbol_definition)).
% 3.81/0.92 fof(f3037,plain,(
% 3.81/0.92 ![X0]: (cyclic(X0,sk0_27,sk0_21,sk0_21)|~spl0_15)),
% 3.81/0.92 inference(component_clause,[status(thm)],[f3036])).
% 3.81/0.92 fof(f3039,plain,(
% 3.81/0.92 ![X0]: (~coll(sk0_21,sk0_21,sk0_27)|cyclic(X0,sk0_27,sk0_21,sk0_21))),
% 3.81/0.92 inference(resolution,[status(thm)],[f195,f2744])).
% 3.81/0.92 fof(f3040,plain,(
% 3.81/0.92 ~spl0_6|spl0_15),
% 3.81/0.92 inference(split_clause,[status(thm)],[f3039,f2732,f3036])).
% 3.81/0.92 fof(f3050,plain,(
% 3.81/0.92 ![X0]: (~cyclic(sk0_27,X0,sk0_21,sk0_27)|~cyclic(sk0_27,X0,sk0_21,X0)|~cyclic(sk0_27,X0,sk0_21,sk0_21)|cong(sk0_27,X0,sk0_27,X0))),
% 3.81/0.92 inference(resolution,[status(thm)],[f198,f2708])).
% 3.81/0.92 fof(f3051,plain,(
% 3.81/0.92 ![X0]: (~cyclic(sk0_27,X0,sk0_21,sk0_27)|~cyclic(sk0_27,X0,sk0_21,X0)|cong(sk0_27,X0,sk0_27,X0)|~spl0_7)),
% 3.81/0.92 inference(forward_subsumption_resolution,[status(thm)],[f3050,f2736])).
% 3.81/0.92 fof(f3074,plain,(
% 3.81/0.92 ![X0]: (cyclic(sk0_27,sk0_21,X0,sk0_21)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f2736,f131])).
% 3.81/0.92 fof(f3082,plain,(
% 3.81/0.92 ![X0]: (cyclic(sk0_21,sk0_27,X0,sk0_21)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3074,f133])).
% 3.81/0.92 fof(f3084,plain,(
% 3.81/0.92 ![X0]: (cyclic(sk0_27,sk0_21,sk0_21,X0)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3074,f129])).
% 3.81/0.92 fof(f3091,plain,(
% 3.81/0.92 ![X0,X1]: (~cyclic(sk0_21,sk0_27,X0,X1)|cyclic(sk0_27,X0,sk0_21,X1)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3082,f136])).
% 3.81/0.92 fof(f3095,plain,(
% 3.81/0.92 ![X0,X1]: (~cyclic(sk0_27,sk0_21,sk0_21,X0)|cyclic(sk0_21,sk0_21,X1,X0)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3084,f136])).
% 3.81/0.92 fof(f3096,plain,(
% 3.81/0.92 ![X0,X1]: (cyclic(sk0_21,sk0_21,X0,X1)|~spl0_7)),
% 3.81/0.92 inference(forward_subsumption_resolution,[status(thm)],[f3095,f3084])).
% 3.81/0.92 fof(f3101,plain,(
% 3.81/0.92 ![X0,X1,X2]: (~cyclic(sk0_21,sk0_21,X0,X1)|cyclic(sk0_21,X0,X2,X1)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3096,f136])).
% 3.81/0.92 fof(f3102,plain,(
% 3.81/0.92 ![X0,X1,X2]: (cyclic(sk0_21,X0,X1,X2)|~spl0_7)),
% 3.81/0.92 inference(forward_subsumption_resolution,[status(thm)],[f3101,f3096])).
% 3.81/0.92 fof(f3106,plain,(
% 3.81/0.92 ![X0,X1]: (cyclic(sk0_27,X0,sk0_21,X1)|~spl0_7)),
% 3.81/0.92 inference(backward_subsumption_resolution,[status(thm)],[f3091,f3102])).
% 3.81/0.92 fof(f3107,plain,(
% 3.81/0.92 ![X0]: (~cyclic(sk0_27,X0,sk0_21,X0)|cong(sk0_27,X0,sk0_27,X0)|~spl0_7)),
% 3.81/0.92 inference(backward_subsumption_resolution,[status(thm)],[f3051,f3106])).
% 3.81/0.92 fof(f3108,plain,(
% 3.81/0.92 ![X0]: (cong(sk0_27,X0,sk0_27,X0)|~spl0_7)),
% 3.81/0.92 inference(forward_subsumption_resolution,[status(thm)],[f3107,f3106])).
% 3.81/0.92 fof(f3112,plain,(
% 3.81/0.92 ![X0,X1]: (~cong(sk0_27,X0,sk0_27,X0)|perp(sk0_27,sk0_27,X1,X0)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3108,f232])).
% 3.81/0.92 fof(f3113,plain,(
% 3.81/0.92 ![X0,X1]: (perp(sk0_27,sk0_27,X0,X1)|~spl0_7)),
% 3.81/0.92 inference(forward_subsumption_resolution,[status(thm)],[f3112,f3108])).
% 3.81/0.92 fof(f3121,plain,(
% 3.81/0.92 ![X0]: (cyclic(sk0_27,X0,sk0_21,sk0_21)|~spl0_15)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3037,f133])).
% 3.81/0.92 fof(f3122,plain,(
% 3.81/0.92 spl0_7|~spl0_15),
% 3.81/0.92 inference(split_clause,[status(thm)],[f3121,f2735,f3036])).
% 3.81/0.92 fof(f3124,plain,(
% 3.81/0.92 ![X0,X1]: (perp(X0,X1,sk0_27,sk0_27)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3113,f114])).
% 3.81/0.92 fof(f3126,plain,(
% 3.81/0.92 $false|spl0_6),
% 3.81/0.92 inference(forward_subsumption_resolution,[status(thm)],[f2734,f704])).
% 3.81/0.92 fof(f3127,plain,(
% 3.81/0.92 spl0_6),
% 3.81/0.92 inference(contradiction_clause,[status(thm)],[f3126])).
% 3.81/0.92 fof(f3174,plain,(
% 3.81/0.92 ![X0,X1,X2,X3]: (~perp(sk0_27,sk0_27,X0,X1)|para(X2,X3,X0,X1)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3124,f117])).
% 3.81/0.92 fof(f3175,plain,(
% 3.81/0.92 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_7)),
% 3.81/0.92 inference(forward_subsumption_resolution,[status(thm)],[f3174,f3113])).
% 3.81/0.92 fof(f3178,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|~spl0_7)),
% 3.81/0.92 inference(backward_subsumption_resolution,[status(thm)],[f189,f3175])).
% 3.81/0.92 fof(f3230,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3178,f144])).
% 3.81/0.92 fof(f3241,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~eqangle(X0,X1,X0,X1,X2,X3,X4,X5)|eqangle(X6,X7,X8,X9,X2,X3,X4,X5)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3230,f147])).
% 3.81/0.92 fof(f3243,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X0,X1,X2,X3,X4,X5)|~spl0_7)),
% 3.81/0.92 inference(resolution,[status(thm)],[f3230,f142])).
% 3.81/0.92 fof(f3245,plain,(
% 3.81/0.92 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~spl0_7)),
% 3.81/0.92 inference(backward_subsumption_resolution,[status(thm)],[f3241,f3243])).
% 3.81/0.92 fof(f3247,plain,(
% 3.81/0.92 $false|~spl0_7),
% 3.81/0.92 inference(backward_subsumption_resolution,[status(thm)],[f382,f3245])).
% 3.81/0.92 fof(f3248,plain,(
% 3.81/0.92 ~spl0_7),
% 3.81/0.92 inference(contradiction_clause,[status(thm)],[f3247])).
% 3.81/0.92 fof(f3249,plain,(
% 3.81/0.92 $false),
% 3.81/0.92 inference(sat_refutation,[status(thm)],[f3040,f3122,f3127,f3248])).
% 3.81/0.92 % SZS output end CNFRefutation for theBenchmark.p
% 3.81/0.94 % Elapsed time: 0.616763 seconds
% 3.81/0.94 % CPU time: 4.307553 seconds
% 3.81/0.94 % Memory used: 87.718 MB
%------------------------------------------------------------------------------