TSTP Solution File: GEO652+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO652+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:18:31 EDT 2024
% Result : Theorem 34.22s 4.65s
% Output : CNFRefutation 34.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO652+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n024.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 01:30:21 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 34.22/4.65 % Refutation found
% 34.22/4.65 % SZS status Theorem for theBenchmark: Theorem is valid
% 34.22/4.65 % SZS output start CNFRefutation for theBenchmark
% 34.22/4.65 fof(f1,axiom,(
% 34.22/4.65 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f2,axiom,(
% 34.22/4.65 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f3,axiom,(
% 34.22/4.65 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f5,axiom,(
% 34.22/4.65 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f7,axiom,(
% 34.22/4.65 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f8,axiom,(
% 34.22/4.65 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f9,axiom,(
% 34.22/4.65 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f17,axiom,(
% 34.22/4.65 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f18,axiom,(
% 34.22/4.65 (! [A,B,C,D,P,Q,U,V] :( eqangle(A,B,C,D,P,Q,U,V)=> eqangle(B,A,C,D,P,Q,U,V) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f19,axiom,(
% 34.22/4.65 (! [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) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f21,axiom,(
% 34.22/4.65 (! [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) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f24,axiom,(
% 34.22/4.65 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f39,axiom,(
% 34.22/4.65 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f40,axiom,(
% 34.22/4.65 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f41,axiom,(
% 34.22/4.65 (! [A,B,P,Q] :( cyclic(A,B,P,Q)=> eqangle(P,A,P,B,Q,A,Q,B) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f42,axiom,(
% 34.22/4.65 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f43,axiom,(
% 34.22/4.65 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f44,axiom,(
% 34.22/4.65 (! [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) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f45,axiom,(
% 34.22/4.65 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f46,axiom,(
% 34.22/4.65 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f47,axiom,(
% 34.22/4.65 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f67,axiom,(
% 34.22/4.65 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f68,axiom,(
% 34.22/4.65 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f69,axiom,(
% 34.22/4.65 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f74,axiom,(
% 34.22/4.65 (! [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) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f87,axiom,(
% 34.22/4.65 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f95,conjecture,(
% 34.22/4.65 (! [A,B,C,D,E,F,G,H,I,J,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01,NWPNT11,NWPNT21] :( ( circle(A,B,NWPNT1,NWPNT2)& circle(C,B,NWPNT3,NWPNT4)& circle(A,B,D,NWPNT5)& circle(C,B,D,NWPNT6)& circle(C,B,E,NWPNT7)& circle(C,B,F,NWPNT8)& coll(D,E,G)& circle(A,D,G,NWPNT9)& coll(B,F,H)& circle(A,B,H,NWPNT01)& coll(D,H,I)& circle(C,D,I,NWPNT11)& coll(B,G,J)& circle(C,B,J,NWPNT21) )=> para(E,F,I,J) ) )),
% 34.22/4.65 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 34.22/4.65 fof(f96,negated_conjecture,(
% 34.22/4.65 ~((! [A,B,C,D,E,F,G,H,I,J,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01,NWPNT11,NWPNT21] :( ( circle(A,B,NWPNT1,NWPNT2)& circle(C,B,NWPNT3,NWPNT4)& circle(A,B,D,NWPNT5)& circle(C,B,D,NWPNT6)& circle(C,B,E,NWPNT7)& circle(C,B,F,NWPNT8)& coll(D,E,G)& circle(A,D,G,NWPNT9)& coll(B,F,H)& circle(A,B,H,NWPNT01)& coll(D,H,I)& circle(C,D,I,NWPNT11)& coll(B,G,J)& circle(C,B,J,NWPNT21) )=> para(E,F,I,J) ) ))),
% 34.22/4.65 inference(negated_conjecture,[status(cth)],[f95])).
% 34.22/4.65 fof(f97,plain,(
% 34.22/4.65 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 34.22/4.65 fof(f98,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f97])).
% 34.22/4.65 fof(f99,plain,(
% 34.22/4.65 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 34.22/4.65 fof(f100,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f99])).
% 34.22/4.65 fof(f101,plain,(
% 34.22/4.65 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 34.22/4.65 fof(f102,plain,(
% 34.22/4.65 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f101])).
% 34.22/4.65 fof(f103,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f102])).
% 34.22/4.65 fof(f106,plain,(
% 34.22/4.65 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 34.22/4.65 fof(f107,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f106])).
% 34.22/4.65 fof(f111,plain,(
% 34.22/4.65 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 34.22/4.65 fof(f112,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f111])).
% 34.22/4.65 fof(f113,plain,(
% 34.22/4.65 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 34.22/4.65 fof(f114,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f113])).
% 34.22/4.65 fof(f115,plain,(
% 34.22/4.65 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 34.22/4.65 fof(f116,plain,(
% 34.22/4.65 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f115])).
% 34.22/4.65 fof(f117,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f116])).
% 34.22/4.65 fof(f134,plain,(
% 34.22/4.65 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 34.22/4.65 fof(f135,plain,(
% 34.22/4.65 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f134])).
% 34.22/4.65 fof(f136,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f135])).
% 34.22/4.65 fof(f137,plain,(
% 34.22/4.65 ![A,B,C,D,P,Q,U,V]: (~eqangle(A,B,C,D,P,Q,U,V)|eqangle(B,A,C,D,P,Q,U,V))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 34.22/4.65 fof(f138,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqangle(X0,X1,X2,X3,X4,X5,X6,X7)|eqangle(X1,X0,X2,X3,X4,X5,X6,X7))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f137])).
% 34.22/4.65 fof(f139,plain,(
% 34.22/4.65 ![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))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 34.22/4.65 fof(f140,plain,(
% 34.22/4.65 ![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))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f139])).
% 34.22/4.65 fof(f143,plain,(
% 34.22/4.65 ![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))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 34.22/4.65 fof(f144,plain,(
% 34.22/4.65 ![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))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f143])).
% 34.22/4.65 fof(f150,plain,(
% 34.22/4.65 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 34.22/4.65 fof(f151,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f150])).
% 34.22/4.65 fof(f184,plain,(
% 34.22/4.65 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 34.22/4.65 fof(f185,plain,(
% 34.22/4.65 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f184])).
% 34.22/4.65 fof(f186,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f185])).
% 34.22/4.65 fof(f187,plain,(
% 34.22/4.65 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 34.22/4.65 fof(f188,plain,(
% 34.22/4.65 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f187])).
% 34.22/4.65 fof(f189,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f188])).
% 34.22/4.65 fof(f190,plain,(
% 34.22/4.65 ![A,B,P,Q]: (~cyclic(A,B,P,Q)|eqangle(P,A,P,B,Q,A,Q,B))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 34.22/4.65 fof(f191,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X2,X0,X2,X1,X3,X0,X3,X1))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f190])).
% 34.22/4.65 fof(f192,plain,(
% 34.22/4.65 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 34.22/4.65 fof(f193,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f192])).
% 34.22/4.65 fof(f194,plain,(
% 34.22/4.65 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 34.22/4.65 fof(f195,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f194])).
% 34.22/4.65 fof(f196,plain,(
% 34.22/4.65 ![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))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 34.22/4.65 fof(f197,plain,(
% 34.22/4.65 ![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))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f196])).
% 34.22/4.65 fof(f198,plain,(
% 34.22/4.65 ![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))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f197])).
% 34.22/4.65 fof(f199,plain,(
% 34.22/4.65 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 34.22/4.65 fof(f200,plain,(
% 34.22/4.65 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f199])).
% 34.22/4.65 fof(f201,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f200])).
% 34.22/4.65 fof(f202,plain,(
% 34.22/4.65 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 34.22/4.65 fof(f203,plain,(
% 34.22/4.65 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f202])).
% 34.22/4.65 fof(f204,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f203])).
% 34.22/4.65 fof(f205,plain,(
% 34.22/4.65 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 34.22/4.65 fof(f206,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f205])).
% 34.22/4.65 fof(f255,plain,(
% 34.22/4.65 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 34.22/4.65 fof(f256,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f255])).
% 34.22/4.65 fof(f257,plain,(
% 34.22/4.65 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f68])).
% 34.22/4.65 fof(f258,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f257])).
% 34.22/4.65 fof(f259,plain,(
% 34.22/4.65 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f69])).
% 34.22/4.65 fof(f260,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f259])).
% 34.22/4.65 fof(f269,plain,(
% 34.22/4.65 ![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))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f74])).
% 34.22/4.65 fof(f270,plain,(
% 34.22/4.65 ![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))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f269])).
% 34.22/4.65 fof(f271,plain,(
% 34.22/4.65 ![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))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f270])).
% 34.22/4.65 fof(f331,plain,(
% 34.22/4.65 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f87])).
% 34.22/4.65 fof(f332,plain,(
% 34.22/4.65 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f331])).
% 34.22/4.65 fof(f333,plain,(
% 34.22/4.65 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sk0_11(O,A),A,A,O))),
% 34.22/4.65 inference(skolemization,[status(esa)],[f332])).
% 34.22/4.65 fof(f334,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sk0_11(X0,X1),X1,X1,X0))),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f333])).
% 34.22/4.65 fof(f369,plain,(
% 34.22/4.65 (?[A,B,C,D,E,F,G,H,I,J,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01,NWPNT11,NWPNT21]: ((((((((((((((circle(A,B,NWPNT1,NWPNT2)&circle(C,B,NWPNT3,NWPNT4))&circle(A,B,D,NWPNT5))&circle(C,B,D,NWPNT6))&circle(C,B,E,NWPNT7))&circle(C,B,F,NWPNT8))&coll(D,E,G))&circle(A,D,G,NWPNT9))&coll(B,F,H))&circle(A,B,H,NWPNT01))&coll(D,H,I))&circle(C,D,I,NWPNT11))&coll(B,G,J))&circle(C,B,J,NWPNT21))&~para(E,F,I,J)))),
% 34.22/4.65 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 34.22/4.65 fof(f370,plain,(
% 34.22/4.65 ?[E,F,I,J]: ((?[B,C]: ((?[G]: ((?[D]: ((?[H]: ((?[A]: ((((((((((?[NWPNT1,NWPNT2]: circle(A,B,NWPNT1,NWPNT2))&(?[NWPNT3,NWPNT4]: circle(C,B,NWPNT3,NWPNT4)))&(?[NWPNT5]: circle(A,B,D,NWPNT5)))&(?[NWPNT6]: circle(C,B,D,NWPNT6)))&(?[NWPNT7]: circle(C,B,E,NWPNT7)))&(?[NWPNT8]: circle(C,B,F,NWPNT8)))&coll(D,E,G))&(?[NWPNT9]: circle(A,D,G,NWPNT9)))&coll(B,F,H))&(?[NWPNT01]: circle(A,B,H,NWPNT01))))&coll(D,H,I)))&(?[NWPNT11]: circle(C,D,I,NWPNT11))))&coll(B,G,J)))&(?[NWPNT21]: circle(C,B,J,NWPNT21))))&~para(E,F,I,J))),
% 34.22/4.65 inference(miniscoping,[status(esa)],[f369])).
% 34.22/4.65 fof(f371,plain,(
% 34.22/4.65 ((((((((((((((circle(sk0_29,sk0_24,sk0_30,sk0_31)&circle(sk0_25,sk0_24,sk0_32,sk0_33))&circle(sk0_29,sk0_24,sk0_27,sk0_34))&circle(sk0_25,sk0_24,sk0_27,sk0_35))&circle(sk0_25,sk0_24,sk0_20,sk0_36))&circle(sk0_25,sk0_24,sk0_21,sk0_37))&coll(sk0_27,sk0_20,sk0_26))&circle(sk0_29,sk0_27,sk0_26,sk0_38))&coll(sk0_24,sk0_21,sk0_28))&circle(sk0_29,sk0_24,sk0_28,sk0_39))&coll(sk0_27,sk0_28,sk0_22))&circle(sk0_25,sk0_27,sk0_22,sk0_40))&coll(sk0_24,sk0_26,sk0_23))&circle(sk0_25,sk0_24,sk0_23,sk0_41))&~para(sk0_20,sk0_21,sk0_22,sk0_23))),
% 34.22/4.65 inference(skolemization,[status(esa)],[f370])).
% 34.22/4.65 fof(f383,plain,(
% 34.22/4.65 circle(sk0_25,sk0_27,sk0_22,sk0_40)),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f371])).
% 34.22/4.65 fof(f386,plain,(
% 34.22/4.65 ~para(sk0_20,sk0_21,sk0_22,sk0_23)),
% 34.22/4.65 inference(cnf_transformation,[status(esa)],[f371])).
% 34.22/4.65 fof(f582,plain,(
% 34.22/4.65 ![X0,X1,X2]: (cong(X0,X1,X0,X2)|~midp(X0,X2,X1))),
% 34.22/4.65 inference(resolution,[status(thm)],[f151,f260])).
% 34.22/4.65 fof(f1041,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X2,X4,X0,X3))),
% 34.22/4.65 inference(resolution,[status(thm)],[f201,f107])).
% 34.22/4.65 fof(f1095,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|~para(X2,X3,X4,X5))),
% 34.22/4.65 inference(resolution,[status(thm)],[f140,f189])).
% 34.22/4.65 fof(f1373,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X4,X5)|~para(X0,X1,X2,X3))),
% 34.22/4.65 inference(resolution,[status(thm)],[f144,f189])).
% 34.22/4.65 fof(f2959,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|eqangle(X0,X2,X2,X1,X3,X0,X3,X1))),
% 34.22/4.65 inference(resolution,[status(thm)],[f191,f138])).
% 34.22/4.65 fof(f3291,plain,(
% 34.22/4.65 ![X0]: (~midp(sk0_22,X0,sk0_20)|~midp(sk0_23,X0,sk0_21))),
% 34.22/4.65 inference(resolution,[status(thm)],[f1041,f386])).
% 34.22/4.65 fof(f3446,plain,(
% 34.22/4.65 ![X0,X1]: (~cong(X0,X0,X0,X1)|para(X0,X0,X0,X1))),
% 34.22/4.65 inference(resolution,[status(thm)],[f206,f186])).
% 34.22/4.65 fof(f3686,plain,(
% 34.22/4.65 ![X0,X1]: (para(X0,X0,X0,X1)|~midp(X0,X1,X0))),
% 34.22/4.65 inference(resolution,[status(thm)],[f3446,f582])).
% 34.22/4.65 fof(f3700,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~midp(X0,X1,X0)|~midp(X0,X2,X0)|~coll(X0,X2,X1)|midp(X0,X2,X1))),
% 34.22/4.65 inference(resolution,[status(thm)],[f3686,f204])).
% 34.22/4.65 fof(f4323,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X4,X5,X0,X1,X2,X3))),
% 34.22/4.65 inference(resolution,[status(thm)],[f1095,f144])).
% 34.22/4.65 fof(f4331,plain,(
% 34.22/4.65 spl0_21 <=> para(X2,X3,X2,X3)),
% 34.22/4.65 introduced(split_symbol_definition)).
% 34.22/4.65 fof(f4332,plain,(
% 34.22/4.65 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_21)),
% 34.22/4.65 inference(component_clause,[status(thm)],[f4331])).
% 34.22/4.65 fof(f12062,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sk0_11(X0,X1),X1,X0,X1))),
% 34.22/4.65 inference(resolution,[status(thm)],[f334,f112])).
% 34.22/4.65 fof(f12067,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(X0,X1,sk0_11(X0,X1),X1))),
% 34.22/4.65 inference(resolution,[status(thm)],[f12062,f114])).
% 34.22/4.65 fof(f12077,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|~perp(X4,X5,X0,X1)|para(X4,X5,sk0_11(X0,X1),X1))),
% 34.22/4.65 inference(resolution,[status(thm)],[f12067,f117])).
% 34.22/4.65 fof(f12759,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~para(X0,X1,X0,X1)|coll(X0,X2,X1)|cyclic(X1,X1,X0,X2))),
% 34.22/4.65 inference(resolution,[status(thm)],[f1373,f193])).
% 34.22/4.65 fof(f12760,plain,(
% 34.22/4.65 ![X0,X1,X2]: (coll(X0,X1,X2)|cyclic(X2,X2,X0,X1)|~spl0_21)),
% 34.22/4.65 inference(forward_subsumption_resolution,[status(thm)],[f12759,f4332])).
% 34.22/4.65 fof(f12761,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~para(X0,X1,X0,X1)|~coll(X0,X2,X1)|cyclic(X1,X1,X0,X2))),
% 34.22/4.65 inference(resolution,[status(thm)],[f1373,f195])).
% 34.22/4.65 fof(f12762,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~coll(X0,X1,X2)|cyclic(X2,X2,X0,X1)|~spl0_21)),
% 34.22/4.65 inference(forward_subsumption_resolution,[status(thm)],[f12761,f4332])).
% 34.22/4.65 fof(f12775,plain,(
% 34.22/4.65 ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_21)),
% 34.22/4.65 inference(backward_subsumption_resolution,[status(thm)],[f12760,f12762])).
% 34.22/4.65 fof(f12809,plain,(
% 34.22/4.65 spl0_1117 <=> ~para(X0,X1,X2,X3)|~para(X0,X1,X2,X3)),
% 34.22/4.65 introduced(split_symbol_definition)).
% 34.22/4.65 fof(f12810,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|~para(X0,X1,X2,X3)|~spl0_1117)),
% 34.22/4.65 inference(component_clause,[status(thm)],[f12809])).
% 34.22/4.65 fof(f12812,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X0,X1,X2,X3)|para(X4,X5,X4,X5))),
% 34.22/4.65 inference(resolution,[status(thm)],[f4323,f271])).
% 34.22/4.65 fof(f12813,plain,(
% 34.22/4.65 spl0_1117|spl0_21),
% 34.22/4.65 inference(split_clause,[status(thm)],[f12812,f12809,f4331])).
% 34.22/4.65 fof(f12821,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|~spl0_1117)),
% 34.22/4.65 inference(duplicate_literals_removal,[status(esa)],[f12810])).
% 34.22/4.65 fof(f12827,plain,(
% 34.22/4.65 ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|~perp(X4,X5,X0,X1)|~spl0_1117)),
% 34.22/4.65 inference(backward_subsumption_resolution,[status(thm)],[f12077,f12821])).
% 34.22/4.65 fof(f12840,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|~spl0_1117)),
% 34.22/4.65 inference(backward_subsumption_resolution,[status(thm)],[f12062,f12827])).
% 34.22/4.65 fof(f12856,plain,(
% 34.22/4.65 $false|~spl0_1117),
% 34.22/4.65 inference(backward_subsumption_resolution,[status(thm)],[f383,f12840])).
% 34.22/4.65 fof(f12857,plain,(
% 34.22/4.65 ~spl0_1117),
% 34.22/4.65 inference(contradiction_clause,[status(thm)],[f12856])).
% 34.22/4.65 fof(f12934,plain,(
% 34.22/4.65 ![X0,X1,X2]: (~midp(X0,X1,X0)|~coll(X2,X1,X2)|midp(X2,X1,X2)|~spl0_21)),
% 34.22/4.65 inference(resolution,[status(thm)],[f4332,f204])).
% 34.22/4.65 fof(f12937,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_21)),
% 34.22/4.65 inference(resolution,[status(thm)],[f12775,f136])).
% 34.22/4.65 fof(f12938,plain,(
% 34.22/4.65 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_21)),
% 34.22/4.65 inference(forward_subsumption_resolution,[status(thm)],[f12937,f12775])).
% 34.22/4.65 fof(f12942,plain,(
% 34.22/4.65 ![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_21)),
% 34.22/4.68 inference(backward_subsumption_resolution,[status(thm)],[f198,f12938])).
% 34.22/4.68 fof(f12943,plain,(
% 34.22/4.68 ![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_21)),
% 34.22/4.68 inference(forward_subsumption_resolution,[status(thm)],[f12942,f12938])).
% 34.22/4.68 fof(f13005,plain,(
% 34.22/4.68 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X3,X0,X3,X2)|~spl0_21)),
% 34.22/4.68 inference(backward_subsumption_resolution,[status(thm)],[f2959,f12938])).
% 34.22/4.68 fof(f13027,plain,(
% 34.22/4.68 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X0,X1,X3,X2,X3)|~spl0_21)),
% 34.22/4.68 inference(resolution,[status(thm)],[f13005,f144])).
% 34.22/4.68 fof(f13047,plain,(
% 34.22/4.68 ![X0,X1,X2,X3]: (eqangle(X0,X1,X1,X2,X0,X3,X2,X3)|~spl0_21)),
% 34.22/4.68 inference(resolution,[status(thm)],[f13027,f140])).
% 34.22/4.68 fof(f13087,plain,(
% 34.22/4.68 ![X0,X1]: (~cyclic(X0,X0,X0,X0)|cong(X0,X0,X1,X1)|~spl0_21)),
% 34.22/4.68 inference(resolution,[status(thm)],[f12943,f13047])).
% 34.22/4.68 fof(f13088,plain,(
% 34.22/4.68 ![X0,X1]: (cong(X0,X0,X1,X1)|~spl0_21)),
% 34.22/4.68 inference(forward_subsumption_resolution,[status(thm)],[f13087,f12938])).
% 34.22/4.68 fof(f13388,plain,(
% 34.22/4.68 ![X0,X1]: (coll(X0,X1,X1)|~spl0_21)),
% 34.22/4.68 inference(resolution,[status(thm)],[f256,f4332])).
% 34.22/4.68 fof(f13963,plain,(
% 34.22/4.68 ![X0,X1]: (coll(X0,X1,X0)|~spl0_21)),
% 34.22/4.68 inference(resolution,[status(thm)],[f13388,f100])).
% 34.22/4.68 fof(f13977,plain,(
% 34.22/4.68 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X2,X1,X2)|~spl0_21)),
% 34.22/4.68 inference(forward_subsumption_resolution,[status(thm)],[f12934,f13963])).
% 34.22/4.68 fof(f14378,plain,(
% 34.22/4.68 ![X0,X1]: (coll(X0,X0,X1)|~spl0_21)),
% 34.22/4.68 inference(resolution,[status(thm)],[f13963,f98])).
% 34.22/4.68 fof(f14455,plain,(
% 34.22/4.68 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_21)),
% 34.22/4.68 inference(resolution,[status(thm)],[f14378,f103])).
% 34.22/4.68 fof(f14456,plain,(
% 34.22/4.68 ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_21)),
% 34.22/4.68 inference(forward_subsumption_resolution,[status(thm)],[f14455,f14378])).
% 34.22/4.68 fof(f14503,plain,(
% 34.22/4.68 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~spl0_21)),
% 34.22/4.68 inference(backward_subsumption_resolution,[status(thm)],[f258,f14456])).
% 34.22/4.68 fof(f14510,plain,(
% 34.22/4.68 ![X0,X1,X2]: (~midp(X0,X1,X0)|~midp(X0,X2,X0)|midp(X0,X2,X1)|~spl0_21)),
% 34.22/4.68 inference(backward_subsumption_resolution,[status(thm)],[f3700,f14456])).
% 34.22/4.68 fof(f14835,plain,(
% 34.22/4.68 ![X0]: (midp(X0,X0,X0)|~spl0_21)),
% 34.22/4.68 inference(resolution,[status(thm)],[f14503,f13088])).
% 34.22/4.68 fof(f14975,plain,(
% 34.22/4.68 ![X0,X1]: (midp(X0,X1,X0)|~spl0_21)),
% 34.22/4.68 inference(resolution,[status(thm)],[f13977,f14835])).
% 34.22/4.68 fof(f14993,plain,(
% 34.22/4.68 ![X0,X1,X2]: (~midp(X0,X1,X0)|midp(X0,X1,X2)|~spl0_21)),
% 34.22/4.68 inference(backward_subsumption_resolution,[status(thm)],[f14510,f14975])).
% 34.22/4.68 fof(f14994,plain,(
% 34.22/4.68 ![X0,X1,X2]: (midp(X0,X1,X2)|~spl0_21)),
% 34.22/4.68 inference(forward_subsumption_resolution,[status(thm)],[f14993,f14975])).
% 34.22/4.68 fof(f15112,plain,(
% 34.22/4.68 ![X0]: (~midp(sk0_23,X0,sk0_21)|~spl0_21)),
% 34.22/4.68 inference(backward_subsumption_resolution,[status(thm)],[f3291,f14994])).
% 34.22/4.68 fof(f15113,plain,(
% 34.22/4.68 $false|~spl0_21),
% 34.22/4.68 inference(forward_subsumption_resolution,[status(thm)],[f15112,f14994])).
% 34.22/4.68 fof(f15114,plain,(
% 34.22/4.68 ~spl0_21),
% 34.22/4.68 inference(contradiction_clause,[status(thm)],[f15113])).
% 34.22/4.68 fof(f15115,plain,(
% 34.22/4.68 $false),
% 34.22/4.68 inference(sat_refutation,[status(thm)],[f12813,f12857,f15114])).
% 34.22/4.68 % SZS output end CNFRefutation for theBenchmark.p
% 34.67/4.74 % Elapsed time: 4.427823 seconds
% 34.67/4.74 % CPU time: 34.867540 seconds
% 34.67/4.74 % Total memory used: 280.359 MB
% 34.67/4.74 % Net memory used: 253.921 MB
%------------------------------------------------------------------------------