TSTP Solution File: GEO618+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO618+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : Tue Apr 30 20:18:26 EDT 2024
% Result : Theorem 3.23s 0.77s
% Output : CNFRefutation 3.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO618+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n032.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Apr 30 01:41:36 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 3.23/0.77 % Refutation found
% 3.23/0.77 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.23/0.77 % SZS output start CNFRefutation for theBenchmark
% 3.23/0.77 fof(f1,axiom,(
% 3.23/0.77 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f2,axiom,(
% 3.23/0.77 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f3,axiom,(
% 3.23/0.77 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f4,axiom,(
% 3.23/0.77 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f7,axiom,(
% 3.23/0.77 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f8,axiom,(
% 3.23/0.77 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f9,axiom,(
% 3.23/0.77 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f14,axiom,(
% 3.23/0.77 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f15,axiom,(
% 3.23/0.77 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f16,axiom,(
% 3.23/0.77 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f17,axiom,(
% 3.23/0.77 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f19,axiom,(
% 3.23/0.77 (! [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) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f23,axiom,(
% 3.23/0.77 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f24,axiom,(
% 3.23/0.77 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f39,axiom,(
% 3.23/0.77 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f40,axiom,(
% 3.23/0.77 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f41,axiom,(
% 3.23/0.77 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f43,axiom,(
% 3.23/0.77 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f44,axiom,(
% 3.23/0.77 (! [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) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f53,axiom,(
% 3.23/0.77 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f58,axiom,(
% 3.23/0.77 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f67,axiom,(
% 3.23/0.77 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f68,axiom,(
% 3.23/0.77 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f95,conjecture,(
% 3.23/0.77 (! [A,B,C,U,O,T] :( ( eqangle(U,A,A,C,U,A,A,B)& coll(U,B,C)& circle(O,A,B,C)& perp(A,O,A,T)& coll(T,B,C) )=> cong(T,A,T,U) ) )),
% 3.23/0.77 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.23/0.77 fof(f96,negated_conjecture,(
% 3.23/0.77 ~((! [A,B,C,U,O,T] :( ( eqangle(U,A,A,C,U,A,A,B)& coll(U,B,C)& circle(O,A,B,C)& perp(A,O,A,T)& coll(T,B,C) )=> cong(T,A,T,U) ) ))),
% 3.23/0.77 inference(negated_conjecture,[status(cth)],[f95])).
% 3.23/0.77 fof(f97,plain,(
% 3.23/0.77 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 3.23/0.77 fof(f98,plain,(
% 3.23/0.77 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f97])).
% 3.23/0.77 fof(f99,plain,(
% 3.23/0.77 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 3.23/0.77 fof(f100,plain,(
% 3.23/0.77 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f99])).
% 3.23/0.77 fof(f101,plain,(
% 3.23/0.77 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 3.23/0.77 fof(f102,plain,(
% 3.23/0.77 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 3.23/0.77 inference(miniscoping,[status(esa)],[f101])).
% 3.23/0.77 fof(f103,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f102])).
% 3.23/0.77 fof(f104,plain,(
% 3.23/0.77 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 3.23/0.77 fof(f105,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f104])).
% 3.23/0.77 fof(f111,plain,(
% 3.23/0.77 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 3.23/0.77 fof(f112,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f111])).
% 3.23/0.77 fof(f113,plain,(
% 3.23/0.77 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.23/0.77 fof(f114,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f113])).
% 3.23/0.77 fof(f115,plain,(
% 3.23/0.77 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.23/0.77 fof(f116,plain,(
% 3.23/0.77 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.23/0.77 inference(miniscoping,[status(esa)],[f115])).
% 3.23/0.77 fof(f117,plain,(
% 3.23/0.77 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f116])).
% 3.23/0.77 fof(f128,plain,(
% 3.23/0.77 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 3.23/0.77 fof(f129,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f128])).
% 3.23/0.77 fof(f130,plain,(
% 3.23/0.77 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 3.23/0.77 fof(f131,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f130])).
% 3.23/0.77 fof(f132,plain,(
% 3.23/0.77 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 3.23/0.77 fof(f133,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f132])).
% 3.23/0.77 fof(f134,plain,(
% 3.23/0.77 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.23/0.77 fof(f135,plain,(
% 3.23/0.77 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.23/0.77 inference(miniscoping,[status(esa)],[f134])).
% 3.23/0.77 fof(f136,plain,(
% 3.23/0.77 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f135])).
% 3.23/0.77 fof(f139,plain,(
% 3.23/0.77 ![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))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 3.23/0.77 fof(f140,plain,(
% 3.23/0.77 ![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))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f139])).
% 3.23/0.77 fof(f148,plain,(
% 3.23/0.77 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 3.23/0.77 fof(f149,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f148])).
% 3.23/0.77 fof(f150,plain,(
% 3.23/0.77 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 3.23/0.77 fof(f151,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f150])).
% 3.23/0.77 fof(f184,plain,(
% 3.23/0.77 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 3.23/0.77 fof(f185,plain,(
% 3.23/0.77 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 3.23/0.77 inference(miniscoping,[status(esa)],[f184])).
% 3.23/0.77 fof(f186,plain,(
% 3.23/0.77 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f185])).
% 3.23/0.77 fof(f187,plain,(
% 3.23/0.77 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 3.23/0.77 fof(f188,plain,(
% 3.23/0.77 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.23/0.77 inference(miniscoping,[status(esa)],[f187])).
% 3.23/0.77 fof(f189,plain,(
% 3.23/0.77 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f188])).
% 3.23/0.77 fof(f190,plain,(
% 3.23/0.77 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 3.23/0.77 fof(f191,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f190])).
% 3.23/0.77 fof(f194,plain,(
% 3.23/0.77 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 3.23/0.77 fof(f195,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f194])).
% 3.23/0.77 fof(f196,plain,(
% 3.23/0.77 ![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))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 3.23/0.77 fof(f197,plain,(
% 3.23/0.77 ![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))),
% 3.23/0.77 inference(miniscoping,[status(esa)],[f196])).
% 3.23/0.77 fof(f198,plain,(
% 3.23/0.77 ![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))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f197])).
% 3.23/0.77 fof(f220,plain,(
% 3.23/0.77 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 3.23/0.77 fof(f221,plain,(
% 3.23/0.77 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 3.23/0.77 inference(miniscoping,[status(esa)],[f220])).
% 3.23/0.77 fof(f222,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f221])).
% 3.23/0.77 fof(f233,plain,(
% 3.23/0.77 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 3.23/0.77 fof(f234,plain,(
% 3.23/0.77 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 3.23/0.77 inference(miniscoping,[status(esa)],[f233])).
% 3.23/0.77 fof(f235,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f234])).
% 3.23/0.77 fof(f255,plain,(
% 3.23/0.77 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 3.23/0.77 fof(f256,plain,(
% 3.23/0.77 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f255])).
% 3.23/0.77 fof(f257,plain,(
% 3.23/0.77 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 3.23/0.77 fof(f258,plain,(
% 3.23/0.77 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f257])).
% 3.23/0.77 fof(f369,plain,(
% 3.23/0.77 (?[A,B,C,U,O,T]: (((((eqangle(U,A,A,C,U,A,A,B)&coll(U,B,C))&circle(O,A,B,C))&perp(A,O,A,T))&coll(T,B,C))&~cong(T,A,T,U)))),
% 3.23/0.77 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 3.23/0.77 fof(f370,plain,(
% 3.23/0.77 ?[A,U,T]: ((?[B,C]: ((?[O]: (((eqangle(U,A,A,C,U,A,A,B)&coll(U,B,C))&circle(O,A,B,C))&perp(A,O,A,T)))&coll(T,B,C)))&~cong(T,A,T,U))),
% 3.23/0.77 inference(miniscoping,[status(esa)],[f369])).
% 3.23/0.77 fof(f371,plain,(
% 3.23/0.77 (((((eqangle(sk0_21,sk0_20,sk0_20,sk0_24,sk0_21,sk0_20,sk0_20,sk0_23)&coll(sk0_21,sk0_23,sk0_24))&circle(sk0_25,sk0_20,sk0_23,sk0_24))&perp(sk0_20,sk0_25,sk0_20,sk0_22))&coll(sk0_22,sk0_23,sk0_24))&~cong(sk0_22,sk0_20,sk0_22,sk0_21))),
% 3.23/0.77 inference(skolemization,[status(esa)],[f370])).
% 3.23/0.77 fof(f375,plain,(
% 3.23/0.77 perp(sk0_20,sk0_25,sk0_20,sk0_22)),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f371])).
% 3.23/0.77 fof(f377,plain,(
% 3.23/0.77 ~cong(sk0_22,sk0_20,sk0_22,sk0_21)),
% 3.23/0.77 inference(cnf_transformation,[status(esa)],[f371])).
% 3.23/0.77 fof(f405,plain,(
% 3.23/0.77 perp(sk0_20,sk0_22,sk0_20,sk0_25)),
% 3.23/0.77 inference(resolution,[status(thm)],[f114,f375])).
% 3.23/0.77 fof(f409,plain,(
% 3.23/0.77 perp(sk0_20,sk0_22,sk0_25,sk0_20)),
% 3.23/0.77 inference(resolution,[status(thm)],[f405,f112])).
% 3.23/0.77 fof(f412,plain,(
% 3.23/0.77 perp(sk0_25,sk0_20,sk0_20,sk0_22)),
% 3.23/0.77 inference(resolution,[status(thm)],[f409,f114])).
% 3.23/0.77 fof(f840,plain,(
% 3.23/0.77 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_22)|para(X0,X1,sk0_20,sk0_25))),
% 3.23/0.77 inference(resolution,[status(thm)],[f117,f405])).
% 3.23/0.77 fof(f1036,plain,(
% 3.23/0.77 para(sk0_25,sk0_20,sk0_20,sk0_25)),
% 3.23/0.77 inference(resolution,[status(thm)],[f840,f412])).
% 3.23/0.77 fof(f1037,plain,(
% 3.23/0.77 para(sk0_20,sk0_25,sk0_20,sk0_25)),
% 3.23/0.77 inference(resolution,[status(thm)],[f840,f375])).
% 3.23/0.77 fof(f1126,plain,(
% 3.23/0.77 para(sk0_25,sk0_20,sk0_25,sk0_20)),
% 3.23/0.77 inference(resolution,[status(thm)],[f1036,f105])).
% 3.23/0.77 fof(f1130,plain,(
% 3.23/0.77 coll(sk0_20,sk0_25,sk0_25)),
% 3.23/0.77 inference(resolution,[status(thm)],[f1037,f256])).
% 3.23/0.77 fof(f1132,plain,(
% 3.23/0.77 coll(sk0_25,sk0_20,sk0_25)),
% 3.23/0.77 inference(resolution,[status(thm)],[f1130,f100])).
% 3.23/0.77 fof(f1136,plain,(
% 3.23/0.77 coll(sk0_25,sk0_25,sk0_20)),
% 3.23/0.77 inference(resolution,[status(thm)],[f1132,f98])).
% 3.23/0.77 fof(f1489,plain,(
% 3.23/0.77 ![X0,X1]: (eqangle(sk0_25,sk0_20,X0,X1,sk0_25,sk0_20,X0,X1))),
% 3.23/0.77 inference(resolution,[status(thm)],[f189,f1126])).
% 3.23/0.77 fof(f2150,plain,(
% 3.23/0.77 spl0_22 <=> coll(sk0_25,sk0_25,sk0_20)),
% 3.23/0.77 introduced(split_symbol_definition)).
% 3.23/0.77 fof(f2152,plain,(
% 3.23/0.77 ~coll(sk0_25,sk0_25,sk0_20)|spl0_22),
% 3.23/0.77 inference(component_clause,[status(thm)],[f2150])).
% 3.23/0.77 fof(f2162,plain,(
% 3.23/0.77 ![X0,X1]: (eqangle(X0,X1,sk0_25,sk0_20,X0,X1,sk0_25,sk0_20))),
% 3.23/0.77 inference(resolution,[status(thm)],[f1489,f140])).
% 3.23/0.77 fof(f3381,plain,(
% 3.23/0.77 spl0_131 <=> cyclic(X0,sk0_20,sk0_25,sk0_25)),
% 3.23/0.77 introduced(split_symbol_definition)).
% 3.23/0.77 fof(f3382,plain,(
% 3.23/0.77 ![X0]: (cyclic(X0,sk0_20,sk0_25,sk0_25)|~spl0_131)),
% 3.23/0.77 inference(component_clause,[status(thm)],[f3381])).
% 3.23/0.77 fof(f3384,plain,(
% 3.23/0.77 ![X0]: (~coll(sk0_25,sk0_25,sk0_20)|cyclic(X0,sk0_20,sk0_25,sk0_25))),
% 3.23/0.77 inference(resolution,[status(thm)],[f2162,f195])).
% 3.23/0.77 fof(f3385,plain,(
% 3.23/0.77 ~spl0_22|spl0_131),
% 3.23/0.77 inference(split_clause,[status(thm)],[f3384,f2150,f3381])).
% 3.23/0.77 fof(f3387,plain,(
% 3.23/0.77 ![X0,X1]: (para(X0,X1,X0,X1))),
% 3.23/0.77 inference(resolution,[status(thm)],[f2162,f186])).
% 3.23/0.77 fof(f3394,plain,(
% 3.23/0.77 $false|spl0_22),
% 3.23/0.77 inference(forward_subsumption_resolution,[status(thm)],[f2152,f1136])).
% 3.23/0.77 fof(f3395,plain,(
% 3.23/0.77 spl0_22),
% 3.23/0.77 inference(contradiction_clause,[status(thm)],[f3394])).
% 3.23/0.77 fof(f3408,plain,(
% 3.23/0.77 ![X0,X1]: (coll(X0,X1,X1))),
% 3.23/0.77 inference(resolution,[status(thm)],[f3387,f256])).
% 3.23/0.77 fof(f3590,plain,(
% 3.23/0.77 ![X0,X1]: (coll(X0,X1,X0))),
% 3.23/0.77 inference(resolution,[status(thm)],[f3408,f100])).
% 3.23/0.77 fof(f3774,plain,(
% 3.23/0.77 ![X0,X1]: (coll(X0,X0,X1))),
% 3.23/0.77 inference(resolution,[status(thm)],[f3590,f98])).
% 3.23/0.77 fof(f3805,plain,(
% 3.23/0.77 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 3.23/0.77 inference(resolution,[status(thm)],[f3774,f103])).
% 3.23/0.77 fof(f3806,plain,(
% 3.23/0.77 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 3.23/0.77 inference(forward_subsumption_resolution,[status(thm)],[f3805,f3774])).
% 3.23/0.77 fof(f3844,plain,(
% 3.23/0.77 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2))),
% 3.23/0.77 inference(forward_subsumption_resolution,[status(thm)],[f258,f3806])).
% 3.23/0.77 fof(f3943,plain,(
% 3.23/0.77 ![X0]: (cyclic(sk0_20,X0,sk0_25,sk0_25)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f3382,f133])).
% 3.23/0.77 fof(f3958,plain,(
% 3.23/0.77 ![X0]: (cyclic(sk0_20,sk0_25,X0,sk0_25)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f3943,f131])).
% 3.23/0.77 fof(f3981,plain,(
% 3.23/0.77 ![X0]: (cyclic(sk0_20,sk0_25,sk0_25,X0)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f3958,f129])).
% 3.23/0.77 fof(f4028,plain,(
% 3.23/0.77 ![X0,X1]: (~cyclic(sk0_20,sk0_25,sk0_25,X0)|cyclic(sk0_25,sk0_25,X0,X1)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f3981,f136])).
% 3.23/0.77 fof(f4029,plain,(
% 3.23/0.77 ![X0,X1]: (cyclic(sk0_25,sk0_25,X0,X1)|~spl0_131)),
% 3.23/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4028,f3981])).
% 3.23/0.77 fof(f4036,plain,(
% 3.23/0.77 ![X0,X1,X2]: (~cyclic(sk0_25,sk0_25,X0,X1)|cyclic(sk0_25,X0,X1,X2)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f4029,f136])).
% 3.23/0.77 fof(f4037,plain,(
% 3.23/0.77 ![X0,X1,X2]: (cyclic(sk0_25,X0,X1,X2)|~spl0_131)),
% 3.23/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4036,f4029])).
% 3.23/0.77 fof(f4044,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~cyclic(sk0_25,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f4037,f136])).
% 3.23/0.77 fof(f4045,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_131)),
% 3.23/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4044,f4037])).
% 3.23/0.77 fof(f4049,plain,(
% 3.23/0.77 ![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_131)),
% 3.23/0.77 inference(backward_subsumption_resolution,[status(thm)],[f198,f4045])).
% 3.23/0.77 fof(f4050,plain,(
% 3.23/0.77 ![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_131)),
% 3.23/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4049,f4045])).
% 3.23/0.77 fof(f4053,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_131)),
% 3.23/0.77 inference(backward_subsumption_resolution,[status(thm)],[f235,f4045])).
% 3.23/0.77 fof(f4055,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_131)),
% 3.23/0.77 inference(backward_subsumption_resolution,[status(thm)],[f191,f4045])).
% 3.23/0.77 fof(f4067,plain,(
% 3.23/0.77 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_131)),
% 3.23/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4050,f4045])).
% 3.23/0.77 fof(f4251,plain,(
% 3.23/0.77 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f4055,f4067])).
% 3.23/0.77 fof(f4293,plain,(
% 3.23/0.77 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f4251,f4053])).
% 3.23/0.77 fof(f4294,plain,(
% 3.23/0.77 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_131)),
% 3.23/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4293,f4251])).
% 3.23/0.77 fof(f4295,plain,(
% 3.23/0.77 ![X0,X1]: (midp(X0,X1,X1)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f4251,f3844])).
% 3.23/0.77 fof(f4310,plain,(
% 3.23/0.77 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|cong(X1,X0,X3,X0)|~spl0_131)),
% 3.23/0.77 inference(backward_subsumption_resolution,[status(thm)],[f222,f4294])).
% 3.23/0.77 fof(f4516,plain,(
% 3.23/0.77 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f4310,f4295])).
% 3.23/0.77 fof(f4572,plain,(
% 3.23/0.77 ![X0,X1,X2]: (cong(X0,X1,X1,X2)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f4516,f149])).
% 3.23/0.77 fof(f4594,plain,(
% 3.23/0.77 ![X0,X1,X2]: (cong(X0,X1,X2,X0)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f4572,f151])).
% 3.23/0.77 fof(f4624,plain,(
% 3.23/0.77 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~spl0_131)),
% 3.23/0.77 inference(resolution,[status(thm)],[f4594,f149])).
% 3.23/0.77 fof(f4627,plain,(
% 3.23/0.77 $false|~spl0_131),
% 3.23/0.77 inference(backward_subsumption_resolution,[status(thm)],[f377,f4624])).
% 3.23/0.77 fof(f4628,plain,(
% 3.23/0.77 ~spl0_131),
% 3.23/0.77 inference(contradiction_clause,[status(thm)],[f4627])).
% 3.23/0.77 fof(f4629,plain,(
% 3.23/0.77 $false),
% 3.23/0.77 inference(sat_refutation,[status(thm)],[f3385,f3395,f4628])).
% 3.23/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 3.23/0.79 % Elapsed time: 0.456203 seconds
% 3.23/0.79 % CPU time: 3.436842 seconds
% 3.23/0.79 % Total memory used: 93.577 MB
% 3.23/0.79 % Net memory used: 88.573 MB
%------------------------------------------------------------------------------