TSTP Solution File: GEO588+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO588+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 12:09:15 EDT 2023
% Result : Theorem 2.13s 0.72s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO588+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31 % Computer : n026.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Tue May 30 12:15:28 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % Drodi V3.5.1
% 2.13/0.72 % Refutation found
% 2.13/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.13/0.72 % SZS output start CNFRefutation for theBenchmark
% 2.13/0.72 fof(f1,axiom,(
% 2.13/0.72 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f2,axiom,(
% 2.13/0.72 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f3,axiom,(
% 2.13/0.72 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f4,axiom,(
% 2.13/0.72 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f5,axiom,(
% 2.13/0.72 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f6,axiom,(
% 2.13/0.72 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f7,axiom,(
% 2.13/0.72 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f8,axiom,(
% 2.13/0.72 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f9,axiom,(
% 2.13/0.72 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f10,axiom,(
% 2.13/0.72 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f11,axiom,(
% 2.13/0.72 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f14,axiom,(
% 2.13/0.72 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f15,axiom,(
% 2.13/0.72 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f16,axiom,(
% 2.13/0.72 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f17,axiom,(
% 2.13/0.72 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f19,axiom,(
% 2.13/0.72 (! [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) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f24,axiom,(
% 2.13/0.72 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f39,axiom,(
% 2.13/0.72 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f40,axiom,(
% 2.13/0.72 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f41,axiom,(
% 2.13/0.72 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f43,axiom,(
% 2.13/0.72 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f44,axiom,(
% 2.13/0.72 (! [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) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f45,axiom,(
% 2.13/0.72 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f46,axiom,(
% 2.13/0.72 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f53,axiom,(
% 2.13/0.72 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f54,axiom,(
% 2.13/0.72 (! [A,B,C,O] :( ( circle(O,A,B,C)& coll(O,A,C) )=> perp(A,B,B,C) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f57,axiom,(
% 2.13/0.72 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f64,axiom,(
% 2.13/0.72 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f67,axiom,(
% 2.13/0.72 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f68,axiom,(
% 2.13/0.72 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f95,conjecture,(
% 2.13/0.72 (! [A,C,M,B,O,D,P,R,J,NWPNT1] :( ( coll(M,A,C)& perp(A,C,M,B)& circle(O,A,C,B)& circle(O,B,D,NWPNT1)& coll(D,B,M)& midp(P,B,A)& midp(R,D,C)& coll(J,M,O)& coll(J,P,R) )=> para(P,O,M,R) ) )),
% 2.13/0.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.13/0.72 fof(f96,negated_conjecture,(
% 2.13/0.72 ~((! [A,C,M,B,O,D,P,R,J,NWPNT1] :( ( coll(M,A,C)& perp(A,C,M,B)& circle(O,A,C,B)& circle(O,B,D,NWPNT1)& coll(D,B,M)& midp(P,B,A)& midp(R,D,C)& coll(J,M,O)& coll(J,P,R) )=> para(P,O,M,R) ) ))),
% 2.13/0.72 inference(negated_conjecture,[status(cth)],[f95])).
% 2.13/0.72 fof(f97,plain,(
% 2.13/0.72 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 2.13/0.72 fof(f98,plain,(
% 2.13/0.72 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f97])).
% 2.13/0.72 fof(f99,plain,(
% 2.13/0.72 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.13/0.72 fof(f100,plain,(
% 2.13/0.72 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f99])).
% 2.13/0.72 fof(f101,plain,(
% 2.13/0.72 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 2.13/0.72 fof(f102,plain,(
% 2.13/0.72 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f101])).
% 2.13/0.72 fof(f103,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f102])).
% 2.13/0.72 fof(f104,plain,(
% 2.13/0.72 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 2.13/0.72 fof(f105,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f104])).
% 2.13/0.72 fof(f106,plain,(
% 2.13/0.72 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 2.13/0.72 fof(f107,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f106])).
% 2.13/0.72 fof(f108,plain,(
% 2.13/0.72 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 2.13/0.72 fof(f109,plain,(
% 2.13/0.72 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f108])).
% 2.13/0.72 fof(f110,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f109])).
% 2.13/0.72 fof(f111,plain,(
% 2.13/0.72 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 2.13/0.72 fof(f112,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f111])).
% 2.13/0.72 fof(f113,plain,(
% 2.13/0.72 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 2.13/0.72 fof(f114,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f113])).
% 2.13/0.72 fof(f115,plain,(
% 2.13/0.72 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.13/0.72 fof(f116,plain,(
% 2.13/0.72 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f115])).
% 2.13/0.72 fof(f117,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f116])).
% 2.13/0.72 fof(f118,plain,(
% 2.13/0.72 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 2.13/0.72 fof(f119,plain,(
% 2.13/0.72 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f118])).
% 2.13/0.72 fof(f120,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f119])).
% 2.13/0.72 fof(f121,plain,(
% 2.13/0.72 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 2.13/0.72 fof(f122,plain,(
% 2.13/0.72 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f121])).
% 2.13/0.72 fof(f128,plain,(
% 2.13/0.72 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 2.13/0.72 fof(f129,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f128])).
% 2.13/0.72 fof(f130,plain,(
% 2.13/0.72 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 2.13/0.72 fof(f131,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f130])).
% 2.13/0.72 fof(f132,plain,(
% 2.13/0.72 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 2.13/0.72 fof(f133,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f132])).
% 2.13/0.72 fof(f134,plain,(
% 2.13/0.72 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 2.13/0.72 fof(f135,plain,(
% 2.13/0.72 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f134])).
% 2.13/0.72 fof(f136,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f135])).
% 2.13/0.72 fof(f139,plain,(
% 2.13/0.72 ![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))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 2.13/0.72 fof(f140,plain,(
% 2.13/0.72 ![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))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f139])).
% 2.13/0.72 fof(f150,plain,(
% 2.13/0.72 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 2.13/0.72 fof(f151,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f150])).
% 2.13/0.72 fof(f184,plain,(
% 2.13/0.72 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 2.13/0.72 fof(f185,plain,(
% 2.13/0.72 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f184])).
% 2.13/0.72 fof(f186,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f185])).
% 2.13/0.72 fof(f187,plain,(
% 2.13/0.72 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 2.13/0.72 fof(f188,plain,(
% 2.13/0.72 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f187])).
% 2.13/0.72 fof(f189,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f188])).
% 2.13/0.72 fof(f190,plain,(
% 2.13/0.72 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 2.13/0.72 fof(f191,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f190])).
% 2.13/0.72 fof(f194,plain,(
% 2.13/0.72 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 2.13/0.72 fof(f195,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f194])).
% 2.13/0.72 fof(f196,plain,(
% 2.13/0.72 ![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))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 2.13/0.72 fof(f197,plain,(
% 2.13/0.72 ![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))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f196])).
% 2.13/0.72 fof(f198,plain,(
% 2.13/0.72 ![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))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f197])).
% 2.13/0.72 fof(f199,plain,(
% 2.13/0.72 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 2.13/0.72 fof(f200,plain,(
% 2.13/0.72 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f199])).
% 2.13/0.72 fof(f201,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f200])).
% 2.13/0.72 fof(f202,plain,(
% 2.13/0.72 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 2.13/0.72 fof(f203,plain,(
% 2.13/0.72 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f202])).
% 2.13/0.72 fof(f204,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f203])).
% 2.13/0.72 fof(f220,plain,(
% 2.13/0.72 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 2.13/0.72 fof(f221,plain,(
% 2.13/0.72 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f220])).
% 2.13/0.72 fof(f222,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f221])).
% 2.13/0.72 fof(f223,plain,(
% 2.13/0.72 ![A,B,C,O]: ((~circle(O,A,B,C)|~coll(O,A,C))|perp(A,B,B,C))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 2.13/0.72 fof(f224,plain,(
% 2.13/0.72 ![A,B,C]: ((![O]: (~circle(O,A,B,C)|~coll(O,A,C)))|perp(A,B,B,C))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f223])).
% 2.13/0.72 fof(f225,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~coll(X0,X1,X3)|perp(X1,X2,X2,X3))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f224])).
% 2.13/0.72 fof(f231,plain,(
% 2.13/0.72 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 2.13/0.72 fof(f232,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f231])).
% 2.13/0.72 fof(f247,plain,(
% 2.13/0.72 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f64])).
% 2.13/0.72 fof(f248,plain,(
% 2.13/0.72 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f247])).
% 2.13/0.72 fof(f249,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f248])).
% 2.13/0.72 fof(f255,plain,(
% 2.13/0.72 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 2.13/0.72 fof(f256,plain,(
% 2.13/0.72 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f255])).
% 2.13/0.72 fof(f257,plain,(
% 2.13/0.72 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 2.13/0.72 fof(f258,plain,(
% 2.13/0.72 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f257])).
% 2.13/0.72 fof(f369,plain,(
% 2.13/0.72 (?[A,C,M,B,O,D,P,R,J,NWPNT1]: (((((((((coll(M,A,C)&perp(A,C,M,B))&circle(O,A,C,B))&circle(O,B,D,NWPNT1))&coll(D,B,M))&midp(P,B,A))&midp(R,D,C))&coll(J,M,O))&coll(J,P,R))&~para(P,O,M,R)))),
% 2.13/0.72 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 2.13/0.72 fof(f370,plain,(
% 2.13/0.72 ?[M,O,P,R]: ((?[J]: (((?[C,D]: ((?[A,B]: (((((coll(M,A,C)&perp(A,C,M,B))&circle(O,A,C,B))&(?[NWPNT1]: circle(O,B,D,NWPNT1)))&coll(D,B,M))&midp(P,B,A)))&midp(R,D,C)))&coll(J,M,O))&coll(J,P,R)))&~para(P,O,M,R))),
% 2.13/0.72 inference(miniscoping,[status(esa)],[f369])).
% 2.13/0.72 fof(f371,plain,(
% 2.13/0.72 (((((((((coll(sk0_20,sk0_27,sk0_25)&perp(sk0_27,sk0_25,sk0_20,sk0_28))&circle(sk0_21,sk0_27,sk0_25,sk0_28))&circle(sk0_21,sk0_28,sk0_26,sk0_29))&coll(sk0_26,sk0_28,sk0_20))&midp(sk0_22,sk0_28,sk0_27))&midp(sk0_23,sk0_26,sk0_25))&coll(sk0_24,sk0_20,sk0_21))&coll(sk0_24,sk0_22,sk0_23))&~para(sk0_22,sk0_21,sk0_20,sk0_23))),
% 2.13/0.72 inference(skolemization,[status(esa)],[f370])).
% 2.13/0.72 fof(f373,plain,(
% 2.13/0.72 perp(sk0_27,sk0_25,sk0_20,sk0_28)),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f371])).
% 2.13/0.72 fof(f374,plain,(
% 2.13/0.72 circle(sk0_21,sk0_27,sk0_25,sk0_28)),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f371])).
% 2.13/0.72 fof(f377,plain,(
% 2.13/0.72 midp(sk0_22,sk0_28,sk0_27)),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f371])).
% 2.13/0.72 fof(f378,plain,(
% 2.13/0.72 midp(sk0_23,sk0_26,sk0_25)),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f371])).
% 2.13/0.72 fof(f381,plain,(
% 2.13/0.72 ~para(sk0_22,sk0_21,sk0_20,sk0_23)),
% 2.13/0.72 inference(cnf_transformation,[status(esa)],[f371])).
% 2.13/0.72 fof(f454,plain,(
% 2.13/0.72 perp(sk0_27,sk0_25,sk0_28,sk0_20)),
% 2.13/0.72 inference(resolution,[status(thm)],[f112,f373])).
% 2.13/0.72 fof(f574,plain,(
% 2.13/0.72 midp(sk0_23,sk0_25,sk0_26)),
% 2.13/0.72 inference(resolution,[status(thm)],[f122,f378])).
% 2.13/0.72 fof(f578,plain,(
% 2.13/0.72 perp(sk0_28,sk0_20,sk0_27,sk0_25)),
% 2.13/0.72 inference(resolution,[status(thm)],[f114,f454])).
% 2.13/0.72 fof(f579,plain,(
% 2.13/0.72 perp(sk0_20,sk0_28,sk0_27,sk0_25)),
% 2.13/0.72 inference(resolution,[status(thm)],[f114,f373])).
% 2.13/0.72 fof(f581,plain,(
% 2.13/0.72 ![X0,X1]: (~perp(X0,X1,sk0_27,sk0_25)|para(X0,X1,sk0_20,sk0_28))),
% 2.13/0.72 inference(resolution,[status(thm)],[f117,f373])).
% 2.13/0.72 fof(f622,plain,(
% 2.13/0.72 ![X0,X1]: (~para(X0,X1,sk0_27,sk0_25)|perp(X0,X1,sk0_28,sk0_20))),
% 2.13/0.72 inference(resolution,[status(thm)],[f120,f454])).
% 2.13/0.72 fof(f623,plain,(
% 2.13/0.72 ![X0,X1]: (~para(X0,X1,sk0_27,sk0_25)|perp(X0,X1,sk0_20,sk0_28))),
% 2.13/0.72 inference(resolution,[status(thm)],[f120,f373])).
% 2.13/0.72 fof(f628,plain,(
% 2.13/0.72 perp(sk0_28,sk0_20,sk0_25,sk0_27)),
% 2.13/0.72 inference(resolution,[status(thm)],[f578,f112])).
% 2.13/0.72 fof(f629,plain,(
% 2.13/0.72 ![X0,X1]: (~para(X0,X1,sk0_20,sk0_28)|perp(X0,X1,sk0_27,sk0_25))),
% 2.13/0.72 inference(resolution,[status(thm)],[f579,f120])).
% 2.13/0.72 fof(f630,plain,(
% 2.13/0.72 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_28)|para(X0,X1,sk0_27,sk0_25))),
% 2.13/0.72 inference(resolution,[status(thm)],[f579,f117])).
% 2.13/0.72 fof(f634,plain,(
% 2.13/0.72 ![X0,X1]: (~perp(X0,X1,sk0_28,sk0_20)|para(X0,X1,sk0_25,sk0_27))),
% 2.13/0.72 inference(resolution,[status(thm)],[f628,f117])).
% 2.13/0.72 fof(f637,plain,(
% 2.13/0.72 para(sk0_20,sk0_28,sk0_20,sk0_28)),
% 2.13/0.72 inference(resolution,[status(thm)],[f581,f579])).
% 2.13/0.72 fof(f811,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~para(X2,X3,X4,X5))),
% 2.13/0.72 inference(resolution,[status(thm)],[f140,f189])).
% 2.13/0.72 fof(f868,plain,(
% 2.13/0.72 para(sk0_27,sk0_25,sk0_27,sk0_25)),
% 2.13/0.72 inference(resolution,[status(thm)],[f630,f373])).
% 2.13/0.72 fof(f983,plain,(
% 2.13/0.72 ![X0,X1,X2]: (~midp(X0,X1,sk0_20)|~midp(X2,X1,sk0_28)|perp(X0,X2,sk0_27,sk0_25))),
% 2.13/0.72 inference(resolution,[status(thm)],[f201,f629])).
% 2.13/0.72 fof(f997,plain,(
% 2.13/0.72 ![X0]: (~midp(sk0_20,X0,sk0_20)|~coll(sk0_28,X0,sk0_28)|midp(sk0_28,X0,sk0_28))),
% 2.13/0.72 inference(resolution,[status(thm)],[f204,f637])).
% 2.13/0.72 fof(f1346,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,sk0_20)|~midp(X2,X1,sk0_28)|~perp(X3,X4,X0,X2)|para(X3,X4,sk0_27,sk0_25))),
% 2.13/0.72 inference(resolution,[status(thm)],[f983,f117])).
% 2.13/0.72 fof(f1514,plain,(
% 2.13/0.72 spl0_11 <=> para(sk0_27,sk0_25,sk0_20,sk0_28)),
% 2.13/0.72 introduced(split_symbol_definition)).
% 2.13/0.72 fof(f1515,plain,(
% 2.13/0.72 para(sk0_27,sk0_25,sk0_20,sk0_28)|~spl0_11),
% 2.13/0.72 inference(component_clause,[status(thm)],[f1514])).
% 2.13/0.72 fof(f1561,plain,(
% 2.13/0.72 spl0_14 <=> para(sk0_20,sk0_28,sk0_27,sk0_25)),
% 2.13/0.72 introduced(split_symbol_definition)).
% 2.13/0.72 fof(f1562,plain,(
% 2.13/0.72 para(sk0_20,sk0_28,sk0_27,sk0_25)|~spl0_14),
% 2.13/0.72 inference(component_clause,[status(thm)],[f1561])).
% 2.13/0.72 fof(f1701,plain,(
% 2.13/0.72 spl0_20 <=> coll(sk0_21,sk0_27,sk0_28)),
% 2.13/0.72 introduced(split_symbol_definition)).
% 2.13/0.72 fof(f1703,plain,(
% 2.13/0.72 ~coll(sk0_21,sk0_27,sk0_28)|spl0_20),
% 2.13/0.72 inference(component_clause,[status(thm)],[f1701])).
% 2.13/0.72 fof(f1704,plain,(
% 2.13/0.72 spl0_21 <=> perp(sk0_27,sk0_25,sk0_25,sk0_28)),
% 2.13/0.72 introduced(split_symbol_definition)).
% 2.13/0.72 fof(f1705,plain,(
% 2.13/0.72 perp(sk0_27,sk0_25,sk0_25,sk0_28)|~spl0_21),
% 2.13/0.72 inference(component_clause,[status(thm)],[f1704])).
% 2.13/0.72 fof(f1707,plain,(
% 2.13/0.72 ~coll(sk0_21,sk0_27,sk0_28)|perp(sk0_27,sk0_25,sk0_25,sk0_28)),
% 2.13/0.72 inference(resolution,[status(thm)],[f225,f374])).
% 2.13/0.72 fof(f1708,plain,(
% 2.13/0.72 ~spl0_20|spl0_21),
% 2.13/0.72 inference(split_clause,[status(thm)],[f1707,f1701,f1704])).
% 2.13/0.72 fof(f2229,plain,(
% 2.13/0.72 ![X0,X1,X2]: (~midp(X0,X1,sk0_27)|~midp(X0,X2,sk0_25)|perp(X1,X2,sk0_20,sk0_28))),
% 2.13/0.72 inference(resolution,[status(thm)],[f249,f623])).
% 2.13/0.72 fof(f2391,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,sk0_27)|~midp(X0,X2,sk0_25)|~perp(X3,X4,X1,X2)|para(X3,X4,sk0_20,sk0_28))),
% 2.13/0.72 inference(resolution,[status(thm)],[f2229,f117])).
% 2.13/0.72 fof(f3242,plain,(
% 2.13/0.72 spl0_81 <=> ~midp(sk0_20,X0,sk0_20)|~midp(sk0_28,X0,sk0_28)),
% 2.13/0.72 introduced(split_symbol_definition)).
% 2.13/0.72 fof(f3243,plain,(
% 2.13/0.72 ![X0]: (~midp(sk0_20,X0,sk0_20)|~midp(sk0_28,X0,sk0_28)|~spl0_81)),
% 2.13/0.72 inference(component_clause,[status(thm)],[f3242])).
% 2.13/0.72 fof(f3266,plain,(
% 2.13/0.72 ![X0]: (~midp(sk0_20,X0,sk0_20)|~coll(sk0_28,X0,sk0_28)|~spl0_81)),
% 2.13/0.72 inference(backward_subsumption_resolution,[status(thm)],[f997,f3243])).
% 2.13/0.72 fof(f3343,plain,(
% 2.13/0.72 perp(sk0_20,sk0_28,sk0_28,sk0_20)|~spl0_14),
% 2.13/0.72 inference(resolution,[status(thm)],[f1562,f622])).
% 2.13/0.72 fof(f3378,plain,(
% 2.13/0.72 ![X0]: (~midp(X0,sk0_20,sk0_20)|cong(sk0_20,X0,sk0_28,X0)|~spl0_14)),
% 2.13/0.72 inference(resolution,[status(thm)],[f3343,f222])).
% 2.13/0.72 fof(f3419,plain,(
% 2.13/0.72 spl0_99 <=> para(sk0_27,sk0_25,sk0_28,sk0_20)),
% 2.13/0.72 introduced(split_symbol_definition)).
% 2.13/0.72 fof(f3420,plain,(
% 2.13/0.72 para(sk0_27,sk0_25,sk0_28,sk0_20)|~spl0_99),
% 2.13/0.72 inference(component_clause,[status(thm)],[f3419])).
% 2.13/0.72 fof(f3461,plain,(
% 2.13/0.72 para(sk0_27,sk0_25,sk0_28,sk0_20)|~spl0_11),
% 2.13/0.72 inference(resolution,[status(thm)],[f1515,f105])).
% 2.13/0.72 fof(f3740,plain,(
% 2.13/0.72 para(sk0_27,sk0_25,sk0_20,sk0_28)|~spl0_99),
% 2.13/0.72 inference(resolution,[status(thm)],[f3420,f105])).
% 2.13/0.72 fof(f3816,plain,(
% 2.13/0.72 para(sk0_20,sk0_28,sk0_27,sk0_25)|~spl0_99),
% 2.13/0.72 inference(resolution,[status(thm)],[f3740,f107])).
% 2.13/0.72 fof(f3912,plain,(
% 2.13/0.72 perp(sk0_20,sk0_28,sk0_20,sk0_28)|~spl0_99),
% 2.13/0.72 inference(resolution,[status(thm)],[f3816,f623])).
% 2.13/0.72 fof(f4209,plain,(
% 2.13/0.72 ![X0]: (~midp(sk0_20,X0,sk0_20)|~midp(sk0_28,X0,sk0_28)|para(sk0_20,sk0_28,sk0_27,sk0_25)|~spl0_99)),
% 2.13/0.72 inference(resolution,[status(thm)],[f3912,f1346])).
% 2.13/0.72 fof(f4210,plain,(
% 2.13/0.72 spl0_81|spl0_14|~spl0_99),
% 2.13/0.72 inference(split_clause,[status(thm)],[f4209,f3242,f1561,f3419])).
% 2.13/0.72 fof(f4258,plain,(
% 2.13/0.72 ![X0]: (~midp(X0,sk0_20,sk0_20)|cong(sk0_28,X0,sk0_20,X0)|~spl0_14)),
% 2.13/0.72 inference(resolution,[status(thm)],[f3378,f151])).
% 2.13/0.72 fof(f4352,plain,(
% 2.13/0.72 spl0_145 <=> ~para(X0,X1,X0,X1)),
% 2.13/0.72 introduced(split_symbol_definition)).
% 2.13/0.72 fof(f4353,plain,(
% 2.13/0.72 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_145)),
% 2.13/0.72 inference(component_clause,[status(thm)],[f4352])).
% 2.13/0.72 fof(f4355,plain,(
% 2.13/0.72 spl0_146 <=> para(X2,X3,X2,X3)),
% 2.13/0.72 introduced(split_symbol_definition)).
% 2.13/0.72 fof(f4356,plain,(
% 2.13/0.72 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_146)),
% 2.13/0.72 inference(component_clause,[status(thm)],[f4355])).
% 2.13/0.72 fof(f4358,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 2.13/0.72 inference(resolution,[status(thm)],[f811,f186])).
% 2.13/0.72 fof(f4359,plain,(
% 2.13/0.72 spl0_145|spl0_146),
% 2.13/0.72 inference(split_clause,[status(thm)],[f4358,f4352,f4355])).
% 2.13/0.72 fof(f4417,plain,(
% 2.13/0.72 $false|~spl0_145),
% 2.13/0.72 inference(backward_subsumption_resolution,[status(thm)],[f868,f4353])).
% 2.13/0.72 fof(f4418,plain,(
% 2.13/0.72 ~spl0_145),
% 2.13/0.72 inference(contradiction_clause,[status(thm)],[f4417])).
% 2.13/0.72 fof(f4435,plain,(
% 2.13/0.72 ![X0,X1]: (coll(X0,X1,X1)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f4356,f256])).
% 2.13/0.72 fof(f4490,plain,(
% 2.13/0.72 ![X0,X1]: (coll(X0,X1,X0)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f4435,f100])).
% 2.13/0.72 fof(f4492,plain,(
% 2.13/0.72 ![X0]: (~midp(sk0_20,X0,sk0_20)|~spl0_146|~spl0_81)),
% 2.13/0.72 inference(backward_subsumption_resolution,[status(thm)],[f3266,f4490])).
% 2.13/0.72 fof(f4547,plain,(
% 2.13/0.72 ![X0,X1]: (coll(X0,X0,X1)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f4490,f98])).
% 2.13/0.72 fof(f4560,plain,(
% 2.13/0.72 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f4547,f103])).
% 2.13/0.72 fof(f4561,plain,(
% 2.13/0.72 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_146)),
% 2.13/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4560,f4547])).
% 2.13/0.72 fof(f4572,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_146)),
% 2.13/0.72 inference(backward_subsumption_resolution,[status(thm)],[f195,f4561])).
% 2.13/0.72 fof(f4573,plain,(
% 2.13/0.72 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_146)),
% 2.13/0.72 inference(backward_subsumption_resolution,[status(thm)],[f258,f4561])).
% 2.13/0.72 fof(f4579,plain,(
% 2.13/0.72 $false|~spl0_146|spl0_20),
% 2.13/0.72 inference(backward_subsumption_resolution,[status(thm)],[f1703,f4561])).
% 2.13/0.72 fof(f4580,plain,(
% 2.13/0.72 ~spl0_146|spl0_20),
% 2.13/0.72 inference(contradiction_clause,[status(thm)],[f4579])).
% 2.13/0.72 fof(f4603,plain,(
% 2.13/0.72 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2)|~para(X2,X1,X2,X1)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f4572,f811])).
% 2.13/0.72 fof(f4604,plain,(
% 2.13/0.72 ![X0,X1,X2]: (cyclic(X0,X1,X2,X2)|~spl0_146)),
% 2.13/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4603,f4356])).
% 2.13/0.72 fof(f4619,plain,(
% 2.13/0.72 ![X0,X1,X2]: (cyclic(X0,X1,X2,X1)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f4604,f131])).
% 2.13/0.72 fof(f4623,plain,(
% 2.13/0.72 ![X0,X1,X2]: (cyclic(X0,X1,X2,X0)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f4619,f133])).
% 2.13/0.72 fof(f4630,plain,(
% 2.13/0.72 ![X0,X1,X2]: (cyclic(X0,X1,X0,X2)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f4623,f129])).
% 2.13/0.72 fof(f4638,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X0,X2)|cyclic(X1,X0,X2,X3)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f4630,f136])).
% 2.13/0.72 fof(f4639,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_146)),
% 2.13/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4638,f4630])).
% 2.13/0.72 fof(f4650,plain,(
% 2.13/0.72 ![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_146)),
% 2.13/0.72 inference(backward_subsumption_resolution,[status(thm)],[f198,f4639])).
% 2.13/0.72 fof(f4651,plain,(
% 2.13/0.72 ![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_146)),
% 2.13/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4650,f4639])).
% 2.13/0.72 fof(f4652,plain,(
% 2.13/0.72 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_146)),
% 2.13/0.72 inference(backward_subsumption_resolution,[status(thm)],[f191,f4639])).
% 2.13/0.72 fof(f5062,plain,(
% 2.13/0.72 perp(sk0_27,sk0_25,sk0_28,sk0_25)|~spl0_21),
% 2.13/0.72 inference(resolution,[status(thm)],[f1705,f112])).
% 2.13/0.72 fof(f5173,plain,(
% 2.13/0.72 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_146)),
% 2.13/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4651,f4639])).
% 2.13/0.72 fof(f5174,plain,(
% 2.13/0.72 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f5173,f4652])).
% 2.13/0.72 fof(f5276,plain,(
% 2.13/0.72 spl0_202 <=> ~midp(X0,sk0_28,sk0_27)|~midp(X0,sk0_25,sk0_25)),
% 2.13/0.72 introduced(split_symbol_definition)).
% 2.13/0.72 fof(f5277,plain,(
% 2.13/0.72 ![X0]: (~midp(X0,sk0_28,sk0_27)|~midp(X0,sk0_25,sk0_25)|~spl0_202)),
% 2.13/0.72 inference(component_clause,[status(thm)],[f5276])).
% 2.13/0.72 fof(f5279,plain,(
% 2.13/0.72 ![X0]: (~midp(X0,sk0_28,sk0_27)|~midp(X0,sk0_25,sk0_25)|para(sk0_27,sk0_25,sk0_20,sk0_28)|~spl0_21)),
% 2.13/0.72 inference(resolution,[status(thm)],[f5062,f2391])).
% 2.13/0.72 fof(f5280,plain,(
% 2.13/0.72 spl0_202|spl0_11|~spl0_21),
% 2.13/0.72 inference(split_clause,[status(thm)],[f5279,f5276,f1514,f1704])).
% 2.13/0.72 fof(f5340,plain,(
% 2.13/0.72 ![X0,X1]: (midp(X0,X1,X1)|~spl0_146)),
% 2.13/0.72 inference(resolution,[status(thm)],[f5174,f4573])).
% 2.13/0.72 fof(f5358,plain,(
% 2.13/0.72 $false|~spl0_146|~spl0_81),
% 2.13/0.72 inference(resolution,[status(thm)],[f5340,f4492])).
% 2.13/0.72 fof(f5359,plain,(
% 2.13/0.72 ~spl0_146|~spl0_81),
% 2.13/0.72 inference(contradiction_clause,[status(thm)],[f5358])).
% 2.13/0.72 fof(f5380,plain,(
% 2.13/0.72 ![X0]: (~midp(X0,sk0_28,sk0_27)|~spl0_146|~spl0_202)),
% 2.13/0.72 inference(forward_subsumption_resolution,[status(thm)],[f5277,f5340])).
% 2.13/0.72 fof(f5546,plain,(
% 2.13/0.72 $false|~spl0_146|~spl0_202),
% 2.13/0.72 inference(backward_subsumption_resolution,[status(thm)],[f377,f5380])).
% 2.13/0.72 fof(f5547,plain,(
% 2.13/0.72 ~spl0_146|~spl0_202),
% 2.13/0.72 inference(contradiction_clause,[status(thm)],[f5546])).
% 2.13/0.72 fof(f5552,plain,(
% 2.13/0.72 spl0_99|~spl0_11),
% 2.13/0.72 inference(split_clause,[status(thm)],[f3461,f3419,f1514])).
% 2.13/0.72 fof(f5565,plain,(
% 2.13/0.72 ![X0]: (cong(sk0_28,X0,sk0_20,X0)|~spl0_146|~spl0_14)),
% 2.13/0.72 inference(forward_subsumption_resolution,[status(thm)],[f4258,f5340])).
% 2.13/0.72 fof(f5674,plain,(
% 2.13/0.72 spl0_229 <=> ~midp(X0,sk0_25,X1)),
% 2.13/0.72 introduced(split_symbol_definition)).
% 2.13/0.72 fof(f5675,plain,(
% 2.13/0.72 ![X0,X1]: (~midp(X0,sk0_25,X1)|~spl0_229)),
% 2.13/0.72 inference(component_clause,[status(thm)],[f5674])).
% 2.13/0.72 fof(f5688,plain,(
% 2.13/0.72 $false|~spl0_229),
% 2.13/0.72 inference(backward_subsumption_resolution,[status(thm)],[f574,f5675])).
% 2.13/0.72 fof(f5689,plain,(
% 2.13/0.72 ~spl0_229),
% 2.13/0.72 inference(contradiction_clause,[status(thm)],[f5688])).
% 2.13/0.72 fof(f5767,plain,(
% 2.13/0.72 ![X0,X1]: (~cong(sk0_28,X0,sk0_20,X0)|perp(sk0_28,sk0_20,X0,X1)|~spl0_146|~spl0_14)),
% 2.13/0.72 inference(resolution,[status(thm)],[f5565,f232])).
% 2.13/0.72 fof(f5768,plain,(
% 2.13/0.72 ![X0,X1]: (perp(sk0_28,sk0_20,X0,X1)|~spl0_146|~spl0_14)),
% 2.13/0.72 inference(forward_subsumption_resolution,[status(thm)],[f5767,f5565])).
% 2.13/0.72 fof(f5986,plain,(
% 2.13/0.72 ![X0,X1]: (perp(X0,X1,sk0_28,sk0_20)|~spl0_146|~spl0_14)),
% 2.13/0.72 inference(resolution,[status(thm)],[f5768,f114])).
% 2.13/0.74 fof(f6051,plain,(
% 2.13/0.74 ![X0,X1]: (para(X0,X1,sk0_25,sk0_27)|~spl0_146|~spl0_14)),
% 2.13/0.74 inference(backward_subsumption_resolution,[status(thm)],[f634,f5986])).
% 2.13/0.74 fof(f6075,plain,(
% 2.13/0.74 spl0_250 <=> ~midp(X0,sk0_28,X1)),
% 2.13/0.74 introduced(split_symbol_definition)).
% 2.13/0.74 fof(f6076,plain,(
% 2.13/0.74 ![X0,X1]: (~midp(X0,sk0_28,X1)|~spl0_250)),
% 2.13/0.74 inference(component_clause,[status(thm)],[f6075])).
% 2.13/0.74 fof(f6094,plain,(
% 2.13/0.74 $false|~spl0_250),
% 2.13/0.74 inference(backward_subsumption_resolution,[status(thm)],[f377,f6076])).
% 2.13/0.74 fof(f6095,plain,(
% 2.13/0.74 ~spl0_250),
% 2.13/0.74 inference(contradiction_clause,[status(thm)],[f6094])).
% 2.13/0.74 fof(f6155,plain,(
% 2.13/0.74 ![X0,X1]: (para(sk0_25,sk0_27,X0,X1)|~spl0_146|~spl0_14)),
% 2.13/0.74 inference(resolution,[status(thm)],[f6051,f107])).
% 2.13/0.74 fof(f6294,plain,(
% 2.13/0.74 ![X0,X1,X2,X3]: (~para(X0,X1,sk0_25,sk0_27)|para(X0,X1,X2,X3)|~spl0_146|~spl0_14)),
% 2.13/0.74 inference(resolution,[status(thm)],[f6155,f110])).
% 2.13/0.74 fof(f6295,plain,(
% 2.13/0.74 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_146|~spl0_14)),
% 2.13/0.74 inference(forward_subsumption_resolution,[status(thm)],[f6294,f6051])).
% 2.13/0.74 fof(f6329,plain,(
% 2.13/0.74 $false|~spl0_146|~spl0_14),
% 2.13/0.74 inference(backward_subsumption_resolution,[status(thm)],[f381,f6295])).
% 2.13/0.74 fof(f6330,plain,(
% 2.13/0.74 ~spl0_146|~spl0_14),
% 2.13/0.74 inference(contradiction_clause,[status(thm)],[f6329])).
% 2.13/0.74 fof(f6331,plain,(
% 2.13/0.74 $false),
% 2.13/0.74 inference(sat_refutation,[status(thm)],[f1708,f4210,f4359,f4418,f4580,f5280,f5359,f5547,f5552,f5689,f6095,f6330])).
% 2.13/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 2.41/0.76 % Elapsed time: 0.425947 seconds
% 2.41/0.76 % CPU time: 2.394954 seconds
% 2.41/0.76 % Memory used: 75.722 MB
%------------------------------------------------------------------------------