TSTP Solution File: GEO609+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO609+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:18:24 EDT 2024
% Result : Theorem 3.20s 0.79s
% Output : CNFRefutation 3.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO609+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 01:53:29 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 3.20/0.79 % Refutation found
% 3.20/0.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.20/0.79 % SZS output start CNFRefutation for theBenchmark
% 3.20/0.79 fof(f1,axiom,(
% 3.20/0.79 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f2,axiom,(
% 3.20/0.79 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f3,axiom,(
% 3.20/0.79 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f7,axiom,(
% 3.20/0.79 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f8,axiom,(
% 3.20/0.79 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f9,axiom,(
% 3.20/0.79 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f14,axiom,(
% 3.20/0.79 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f15,axiom,(
% 3.20/0.79 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f17,axiom,(
% 3.20/0.79 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f20,axiom,(
% 3.20/0.79 (! [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) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f21,axiom,(
% 3.20/0.79 (! [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) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f40,axiom,(
% 3.20/0.79 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f41,axiom,(
% 3.20/0.79 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f43,axiom,(
% 3.20/0.79 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f44,axiom,(
% 3.20/0.79 (! [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) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f53,axiom,(
% 3.20/0.79 (! [A,B,C,M] :( ( perp(A,B,B,C)& midp(M,A,C) )=> cong(A,M,B,M) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f57,axiom,(
% 3.20/0.79 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f58,axiom,(
% 3.20/0.79 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q)& cyclic(A,B,P,Q) )=> perp(P,A,A,Q) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f67,axiom,(
% 3.20/0.79 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f68,axiom,(
% 3.20/0.79 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f74,axiom,(
% 3.20/0.79 (! [A,B,C,D,P,Q,U,V] :( ( eqangle(A,B,C,D,P,Q,U,V)& para(P,Q,U,V) )=> para(A,B,C,D) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f75,axiom,(
% 3.20/0.79 (! [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) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f95,conjecture,(
% 3.20/0.79 (! [A,B,C,O,E,F,G,NWPNT1] :( ( circle(O,A,B,C)& para(B,C,E,A)& circle(O,A,E,NWPNT1)& perp(F,E,A,B)& coll(F,A,B)& perp(G,E,A,C)& coll(G,A,C) )=> para(F,G,A,O) ) )),
% 3.20/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.20/0.79 fof(f96,negated_conjecture,(
% 3.20/0.79 ~((! [A,B,C,O,E,F,G,NWPNT1] :( ( circle(O,A,B,C)& para(B,C,E,A)& circle(O,A,E,NWPNT1)& perp(F,E,A,B)& coll(F,A,B)& perp(G,E,A,C)& coll(G,A,C) )=> para(F,G,A,O) ) ))),
% 3.20/0.79 inference(negated_conjecture,[status(cth)],[f95])).
% 3.20/0.79 fof(f97,plain,(
% 3.20/0.79 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 3.20/0.79 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 3.20/0.79 fof(f98,plain,(
% 3.20/0.79 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f97])).
% 3.20/0.80 fof(f99,plain,(
% 3.20/0.80 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 3.20/0.80 fof(f100,plain,(
% 3.20/0.80 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f99])).
% 3.20/0.80 fof(f101,plain,(
% 3.20/0.80 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 3.20/0.80 fof(f102,plain,(
% 3.20/0.80 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 3.20/0.80 inference(miniscoping,[status(esa)],[f101])).
% 3.20/0.80 fof(f103,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f102])).
% 3.20/0.80 fof(f111,plain,(
% 3.20/0.80 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 3.20/0.80 fof(f112,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f111])).
% 3.20/0.80 fof(f113,plain,(
% 3.20/0.80 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 3.20/0.80 fof(f114,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f113])).
% 3.20/0.80 fof(f115,plain,(
% 3.20/0.80 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 3.20/0.80 fof(f116,plain,(
% 3.20/0.80 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 3.20/0.80 inference(miniscoping,[status(esa)],[f115])).
% 3.20/0.80 fof(f117,plain,(
% 3.20/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f116])).
% 3.20/0.80 fof(f128,plain,(
% 3.20/0.80 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 3.20/0.80 fof(f129,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f128])).
% 3.20/0.80 fof(f130,plain,(
% 3.20/0.80 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 3.20/0.80 fof(f131,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f130])).
% 3.20/0.80 fof(f134,plain,(
% 3.20/0.80 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.20/0.80 fof(f135,plain,(
% 3.20/0.80 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 3.20/0.80 inference(miniscoping,[status(esa)],[f134])).
% 3.20/0.80 fof(f136,plain,(
% 3.20/0.80 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f135])).
% 3.20/0.80 fof(f141,plain,(
% 3.20/0.80 ![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))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 3.20/0.80 fof(f142,plain,(
% 3.20/0.80 ![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))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f141])).
% 3.20/0.80 fof(f143,plain,(
% 3.20/0.80 ![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))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 3.20/0.80 fof(f144,plain,(
% 3.20/0.80 ![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))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f143])).
% 3.20/0.80 fof(f187,plain,(
% 3.20/0.80 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 3.20/0.80 fof(f188,plain,(
% 3.20/0.80 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 3.20/0.80 inference(miniscoping,[status(esa)],[f187])).
% 3.20/0.80 fof(f189,plain,(
% 3.20/0.80 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f188])).
% 3.20/0.80 fof(f190,plain,(
% 3.20/0.80 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 3.20/0.80 fof(f191,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f190])).
% 3.20/0.80 fof(f194,plain,(
% 3.20/0.80 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 3.20/0.80 fof(f195,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f194])).
% 3.20/0.80 fof(f196,plain,(
% 3.20/0.80 ![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))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 3.20/0.80 fof(f197,plain,(
% 3.20/0.80 ![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))),
% 3.20/0.80 inference(miniscoping,[status(esa)],[f196])).
% 3.20/0.80 fof(f198,plain,(
% 3.20/0.80 ![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))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f197])).
% 3.20/0.80 fof(f220,plain,(
% 3.20/0.80 ![A,B,C,M]: ((~perp(A,B,B,C)|~midp(M,A,C))|cong(A,M,B,M))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f53])).
% 3.20/0.80 fof(f221,plain,(
% 3.20/0.80 ![A,B,M]: ((![C]: (~perp(A,B,B,C)|~midp(M,A,C)))|cong(A,M,B,M))),
% 3.20/0.80 inference(miniscoping,[status(esa)],[f220])).
% 3.20/0.80 fof(f222,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~perp(X0,X1,X1,X2)|~midp(X3,X0,X2)|cong(X0,X3,X1,X3))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f221])).
% 3.20/0.80 fof(f231,plain,(
% 3.20/0.80 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 3.20/0.80 fof(f232,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f231])).
% 3.20/0.80 fof(f233,plain,(
% 3.20/0.80 ![A,B,P,Q]: (((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q))|perp(P,A,A,Q))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 3.20/0.80 fof(f234,plain,(
% 3.20/0.80 ![A,P,Q]: ((![B]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|~cyclic(A,B,P,Q)))|perp(P,A,A,Q))),
% 3.20/0.80 inference(miniscoping,[status(esa)],[f233])).
% 3.20/0.80 fof(f235,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|~cyclic(X0,X2,X1,X3)|perp(X1,X0,X0,X3))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f234])).
% 3.20/0.80 fof(f255,plain,(
% 3.20/0.80 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 3.20/0.80 fof(f256,plain,(
% 3.20/0.80 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f255])).
% 3.20/0.80 fof(f257,plain,(
% 3.20/0.80 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 3.20/0.80 fof(f258,plain,(
% 3.20/0.80 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f257])).
% 3.20/0.80 fof(f269,plain,(
% 3.20/0.80 ![A,B,C,D,P,Q,U,V]: ((~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V))|para(A,B,C,D))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f74])).
% 3.20/0.80 fof(f270,plain,(
% 3.20/0.80 ![A,B,C,D]: ((![P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|~para(P,Q,U,V)))|para(A,B,C,D))),
% 3.20/0.80 inference(miniscoping,[status(esa)],[f269])).
% 3.20/0.80 fof(f271,plain,(
% 3.20/0.80 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|~para(X4,X5,X6,X7)|para(X0,X1,X2,X3))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f270])).
% 3.20/0.80 fof(f272,plain,(
% 3.20/0.80 ![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))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f75])).
% 3.20/0.80 fof(f273,plain,(
% 3.20/0.80 ![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))),
% 3.20/0.80 inference(miniscoping,[status(esa)],[f272])).
% 3.20/0.80 fof(f274,plain,(
% 3.20/0.80 ![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))),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f273])).
% 3.20/0.80 fof(f369,plain,(
% 3.20/0.80 (?[A,B,C,O,E,F,G,NWPNT1]: (((((((circle(O,A,B,C)¶(B,C,E,A))&circle(O,A,E,NWPNT1))&perp(F,E,A,B))&coll(F,A,B))&perp(G,E,A,C))&coll(G,A,C))&~para(F,G,A,O)))),
% 3.20/0.80 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 3.20/0.80 fof(f370,plain,(
% 3.20/0.80 ?[A,O,F,G]: ((?[C]: ((?[E]: ((?[B]: ((((circle(O,A,B,C)¶(B,C,E,A))&(?[NWPNT1]: circle(O,A,E,NWPNT1)))&perp(F,E,A,B))&coll(F,A,B)))&perp(G,E,A,C)))&coll(G,A,C)))&~para(F,G,A,O))),
% 3.20/0.80 inference(miniscoping,[status(esa)],[f369])).
% 3.20/0.80 fof(f371,plain,(
% 3.20/0.80 (((((((circle(sk0_21,sk0_20,sk0_26,sk0_24)¶(sk0_26,sk0_24,sk0_25,sk0_20))&circle(sk0_21,sk0_20,sk0_25,sk0_27))&perp(sk0_22,sk0_25,sk0_20,sk0_26))&coll(sk0_22,sk0_20,sk0_26))&perp(sk0_23,sk0_25,sk0_20,sk0_24))&coll(sk0_23,sk0_20,sk0_24))&~para(sk0_22,sk0_23,sk0_20,sk0_21))),
% 3.20/0.80 inference(skolemization,[status(esa)],[f370])).
% 3.20/0.80 fof(f373,plain,(
% 3.20/0.80 para(sk0_26,sk0_24,sk0_25,sk0_20)),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f371])).
% 3.20/0.80 fof(f377,plain,(
% 3.20/0.80 perp(sk0_23,sk0_25,sk0_20,sk0_24)),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f371])).
% 3.20/0.80 fof(f379,plain,(
% 3.20/0.80 ~para(sk0_22,sk0_23,sk0_20,sk0_21)),
% 3.20/0.80 inference(cnf_transformation,[status(esa)],[f371])).
% 3.20/0.80 fof(f551,plain,(
% 3.20/0.80 perp(sk0_20,sk0_24,sk0_23,sk0_25)),
% 3.20/0.80 inference(resolution,[status(thm)],[f114,f377])).
% 3.20/0.80 fof(f619,plain,(
% 3.20/0.80 ![X0,X1]: (~perp(X0,X1,sk0_20,sk0_24)|para(X0,X1,sk0_23,sk0_25))),
% 3.20/0.80 inference(resolution,[status(thm)],[f117,f551])).
% 3.20/0.80 fof(f649,plain,(
% 3.20/0.80 ![X0,X1]: (eqangle(sk0_26,sk0_24,X0,X1,sk0_25,sk0_20,X0,X1))),
% 3.20/0.80 inference(resolution,[status(thm)],[f189,f373])).
% 3.20/0.80 fof(f908,plain,(
% 3.20/0.80 ![X0,X1]: (eqangle(sk0_26,sk0_24,sk0_25,sk0_20,X0,X1,X0,X1))),
% 3.20/0.80 inference(resolution,[status(thm)],[f649,f144])).
% 3.20/0.80 fof(f1432,plain,(
% 3.20/0.80 para(sk0_23,sk0_25,sk0_23,sk0_25)),
% 3.20/0.80 inference(resolution,[status(thm)],[f619,f377])).
% 3.20/0.80 fof(f1458,plain,(
% 3.20/0.80 ![X0,X1]: (eqangle(sk0_23,sk0_25,X0,X1,sk0_23,sk0_25,X0,X1))),
% 3.20/0.80 inference(resolution,[status(thm)],[f1432,f189])).
% 3.20/0.80 fof(f1777,plain,(
% 3.20/0.80 spl0_4 <=> ~para(X0,X1,X0,X1)),
% 3.20/0.80 introduced(split_symbol_definition)).
% 3.20/0.80 fof(f1778,plain,(
% 3.20/0.80 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_4)),
% 3.20/0.80 inference(component_clause,[status(thm)],[f1777])).
% 3.20/0.80 fof(f1780,plain,(
% 3.20/0.80 spl0_5 <=> para(sk0_26,sk0_24,sk0_25,sk0_20)),
% 3.20/0.80 introduced(split_symbol_definition)).
% 3.20/0.80 fof(f1783,plain,(
% 3.20/0.80 ![X0,X1]: (~para(X0,X1,X0,X1)|para(sk0_26,sk0_24,sk0_25,sk0_20))),
% 3.20/0.80 inference(resolution,[status(thm)],[f908,f271])).
% 3.20/0.80 fof(f1784,plain,(
% 3.20/0.80 spl0_4|spl0_5),
% 3.20/0.80 inference(split_clause,[status(thm)],[f1783,f1777,f1780])).
% 3.20/0.80 fof(f1787,plain,(
% 3.20/0.80 ![X0,X1]: (eqangle(X0,X1,X0,X1,sk0_26,sk0_24,sk0_25,sk0_20))),
% 3.20/0.80 inference(resolution,[status(thm)],[f908,f142])).
% 3.20/0.80 fof(f1812,plain,(
% 3.20/0.80 $false|~spl0_4),
% 3.20/0.80 inference(backward_subsumption_resolution,[status(thm)],[f1432,f1778])).
% 3.20/0.80 fof(f1813,plain,(
% 3.20/0.80 ~spl0_4),
% 3.20/0.80 inference(contradiction_clause,[status(thm)],[f1812])).
% 3.20/0.80 fof(f3386,plain,(
% 3.20/0.80 spl0_93 <=> para(X0,X1,X0,X1)),
% 3.20/0.80 introduced(split_symbol_definition)).
% 3.20/0.80 fof(f3387,plain,(
% 3.20/0.80 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_93)),
% 3.20/0.80 inference(component_clause,[status(thm)],[f3386])).
% 3.20/0.80 fof(f3389,plain,(
% 3.20/0.80 ![X0,X1]: (~para(sk0_26,sk0_24,sk0_25,sk0_20)|para(X0,X1,X0,X1))),
% 3.20/0.80 inference(resolution,[status(thm)],[f1787,f271])).
% 3.20/0.80 fof(f3390,plain,(
% 3.20/0.80 ~spl0_5|spl0_93),
% 3.20/0.80 inference(split_clause,[status(thm)],[f3389,f1780,f3386])).
% 3.20/0.80 fof(f3418,plain,(
% 3.20/0.80 ![X0,X1]: (coll(X0,X1,X1)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f3387,f256])).
% 3.20/0.80 fof(f3593,plain,(
% 3.20/0.80 ![X0,X1]: (coll(X0,X1,X0)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f3418,f100])).
% 3.20/0.80 fof(f3770,plain,(
% 3.20/0.80 ![X0,X1]: (coll(X0,X0,X1)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f3593,f98])).
% 3.20/0.80 fof(f3799,plain,(
% 3.20/0.80 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f3770,f103])).
% 3.20/0.80 fof(f3800,plain,(
% 3.20/0.80 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_93)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f3799,f3770])).
% 3.20/0.80 fof(f3807,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_93)),
% 3.20/0.80 inference(backward_subsumption_resolution,[status(thm)],[f195,f3800])).
% 3.20/0.80 fof(f3922,plain,(
% 3.20/0.80 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_93)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f258,f3800])).
% 3.20/0.80 fof(f3927,plain,(
% 3.20/0.80 spl0_110 <=> ~perp(X0,X1,X0,X1)),
% 3.20/0.80 introduced(split_symbol_definition)).
% 3.20/0.80 fof(f3928,plain,(
% 3.20/0.80 ![X0,X1]: (~perp(X0,X1,X0,X1)|~spl0_110)),
% 3.20/0.80 inference(component_clause,[status(thm)],[f3927])).
% 3.20/0.80 fof(f3978,plain,(
% 3.20/0.80 spl0_118 <=> perp(sk0_26,sk0_24,sk0_25,sk0_20)),
% 3.20/0.80 introduced(split_symbol_definition)).
% 3.20/0.80 fof(f3981,plain,(
% 3.20/0.80 ![X0,X1]: (~perp(X0,X1,X0,X1)|perp(sk0_26,sk0_24,sk0_25,sk0_20))),
% 3.20/0.80 inference(resolution,[status(thm)],[f274,f908])).
% 3.20/0.80 fof(f3982,plain,(
% 3.20/0.80 spl0_110|spl0_118),
% 3.20/0.80 inference(split_clause,[status(thm)],[f3981,f3927,f3978])).
% 3.20/0.80 fof(f3994,plain,(
% 3.20/0.80 spl0_119 <=> perp(X0,X1,X0,X1)),
% 3.20/0.80 introduced(split_symbol_definition)).
% 3.20/0.80 fof(f3995,plain,(
% 3.20/0.80 ![X0,X1]: (perp(X0,X1,X0,X1)|~spl0_119)),
% 3.20/0.80 inference(component_clause,[status(thm)],[f3994])).
% 3.20/0.80 fof(f3997,plain,(
% 3.20/0.80 ![X0,X1]: (~perp(sk0_26,sk0_24,sk0_25,sk0_20)|perp(X0,X1,X0,X1))),
% 3.20/0.80 inference(resolution,[status(thm)],[f274,f1787])).
% 3.20/0.80 fof(f3998,plain,(
% 3.20/0.80 ~spl0_118|spl0_119),
% 3.20/0.80 inference(split_clause,[status(thm)],[f3997,f3978,f3994])).
% 3.20/0.80 fof(f4016,plain,(
% 3.20/0.80 ![X0,X1]: (perp(X0,X1,X1,X0)|~spl0_119)),
% 3.20/0.80 inference(resolution,[status(thm)],[f3995,f112])).
% 3.20/0.80 fof(f4030,plain,(
% 3.20/0.80 ![X0,X1,X2]: (~midp(X0,X1,X1)|cong(X1,X0,X2,X0)|~spl0_119)),
% 3.20/0.80 inference(resolution,[status(thm)],[f4016,f222])).
% 3.20/0.80 fof(f4045,plain,(
% 3.20/0.80 ![X0]: (cyclic(sk0_25,X0,sk0_23,sk0_23)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f3807,f1458])).
% 3.20/0.80 fof(f4071,plain,(
% 3.20/0.80 ![X0]: (cyclic(sk0_25,sk0_23,X0,sk0_23)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f4045,f131])).
% 3.20/0.80 fof(f4285,plain,(
% 3.20/0.80 ![X0]: (cyclic(sk0_25,sk0_23,sk0_23,X0)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f4071,f129])).
% 3.20/0.80 fof(f4575,plain,(
% 3.20/0.80 ![X0,X1]: (~cyclic(sk0_25,sk0_23,sk0_23,X0)|cyclic(sk0_23,sk0_23,X0,X1)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f4285,f136])).
% 3.20/0.80 fof(f4576,plain,(
% 3.20/0.80 ![X0,X1]: (cyclic(sk0_23,sk0_23,X0,X1)|~spl0_93)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4575,f4285])).
% 3.20/0.80 fof(f4583,plain,(
% 3.20/0.80 ![X0,X1,X2]: (~cyclic(sk0_23,sk0_23,X0,X1)|cyclic(sk0_23,X0,X1,X2)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f4576,f136])).
% 3.20/0.80 fof(f4584,plain,(
% 3.20/0.80 ![X0,X1,X2]: (cyclic(sk0_23,X0,X1,X2)|~spl0_93)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4583,f4576])).
% 3.20/0.80 fof(f4591,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~cyclic(sk0_23,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f4584,f136])).
% 3.20/0.80 fof(f4592,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_93)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4591,f4584])).
% 3.20/0.80 fof(f4596,plain,(
% 3.20/0.80 ![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_93)),
% 3.20/0.80 inference(backward_subsumption_resolution,[status(thm)],[f198,f4592])).
% 3.20/0.80 fof(f4597,plain,(
% 3.20/0.80 ![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_93)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4596,f4592])).
% 3.20/0.80 fof(f4598,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X1,X0,X0,X3)|~spl0_93)),
% 3.20/0.80 inference(backward_subsumption_resolution,[status(thm)],[f235,f4592])).
% 3.20/0.80 fof(f4600,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~spl0_93)),
% 3.20/0.80 inference(backward_subsumption_resolution,[status(thm)],[f191,f4592])).
% 3.20/0.80 fof(f4601,plain,(
% 3.20/0.80 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X0,X2,X3,X4,X3,X5)|cong(X1,X2,X4,X5)|~spl0_93)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4597,f4592])).
% 3.20/0.80 fof(f4626,plain,(
% 3.20/0.80 ![X0,X1]: (cong(X0,X1,X0,X1)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f4600,f4601])).
% 3.20/0.80 fof(f4660,plain,(
% 3.20/0.80 ![X0,X1,X2]: (~cong(X0,X1,X0,X1)|perp(X1,X0,X0,X2)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f4626,f4598])).
% 3.20/0.80 fof(f4661,plain,(
% 3.20/0.80 ![X0,X1,X2]: (perp(X0,X1,X1,X2)|~spl0_93)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4660,f4626])).
% 3.20/0.80 fof(f4662,plain,(
% 3.20/0.80 ![X0,X1]: (midp(X0,X1,X1)|~spl0_93)),
% 3.20/0.80 inference(resolution,[status(thm)],[f4626,f3922])).
% 3.20/0.80 fof(f4689,plain,(
% 3.20/0.80 $false|~spl0_93|~spl0_110),
% 3.20/0.80 inference(resolution,[status(thm)],[f4661,f3928])).
% 3.20/0.80 fof(f4690,plain,(
% 3.20/0.80 ~spl0_93|~spl0_110),
% 3.20/0.80 inference(contradiction_clause,[status(thm)],[f4689])).
% 3.20/0.80 fof(f4696,plain,(
% 3.20/0.80 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_93|~spl0_119)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4030,f4662])).
% 3.20/0.80 fof(f4749,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|perp(X0,X2,X3,X1)|~spl0_93|~spl0_119)),
% 3.20/0.80 inference(backward_subsumption_resolution,[status(thm)],[f232,f4696])).
% 3.20/0.80 fof(f4750,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_93|~spl0_119)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4749,f4696])).
% 3.20/0.80 fof(f4776,plain,(
% 3.20/0.80 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|para(X4,X5,X2,X3)|~spl0_93|~spl0_119)),
% 3.20/0.80 inference(backward_subsumption_resolution,[status(thm)],[f117,f4750])).
% 3.20/0.80 fof(f4777,plain,(
% 3.20/0.80 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~spl0_93|~spl0_119)),
% 3.20/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4776,f4750])).
% 3.20/0.80 fof(f4815,plain,(
% 3.20/0.80 $false|~spl0_93|~spl0_119),
% 3.20/0.80 inference(backward_subsumption_resolution,[status(thm)],[f379,f4777])).
% 3.20/0.80 fof(f4816,plain,(
% 3.20/0.80 ~spl0_93|~spl0_119),
% 3.20/0.80 inference(contradiction_clause,[status(thm)],[f4815])).
% 3.20/0.80 fof(f4817,plain,(
% 3.20/0.80 $false),
% 3.20/0.80 inference(sat_refutation,[status(thm)],[f1784,f1813,f3390,f3982,f3998,f4690,f4816])).
% 3.20/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 3.20/0.80 % Elapsed time: 0.452842 seconds
% 3.20/0.80 % CPU time: 3.472062 seconds
% 3.20/0.80 % Total memory used: 87.646 MB
% 3.20/0.80 % Net memory used: 82.674 MB
%------------------------------------------------------------------------------