%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO565+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:26:39 PM UTC 2026
% Result : Theorem 8.01s 6.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO565+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n011.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Sun Sep 20 17:34:01 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 8.01/6.47 % Refutation found
% 8.01/6.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.01/6.47 % SZS output start CNFRefutation for theBenchmark
% 8.01/6.47 fof(f1,axiom,(
% 8.01/6.47 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f4,axiom,(
% 8.01/6.47 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f5,axiom,(
% 8.01/6.47 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f11,axiom,(
% 8.01/6.47 (! [A,B,M] :( midp(M,B,A)=> midp(M,A,B) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f18,axiom,(
% 8.01/6.47 (! [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) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f19,axiom,(
% 8.01/6.47 (! [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) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f23,axiom,(
% 8.01/6.47 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(A,B,D,C) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f24,axiom,(
% 8.01/6.47 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f25,axiom,(
% 8.01/6.47 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f39,axiom,(
% 8.01/6.47 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f40,axiom,(
% 8.01/6.47 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f45,axiom,(
% 8.01/6.47 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f46,axiom,(
% 8.01/6.47 (! [A,B,C,E,F] :( ( midp(E,A,B)& para(E,F,B,C)& coll(F,A,C) )=> midp(F,A,C) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f47,axiom,(
% 8.01/6.47 (! [A,B,O] :( cong(O,A,O,B)=> eqangle(O,A,A,B,A,B,O,B) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f64,axiom,(
% 8.01/6.47 (! [A,B,C,D,M] :( ( midp(M,A,B)& midp(M,C,D) )=> para(A,C,B,D) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f65,axiom,(
% 8.01/6.47 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f67,axiom,(
% 8.01/6.47 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f68,axiom,(
% 8.01/6.47 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f69,axiom,(
% 8.01/6.47 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f95,conjecture,(
% 8.01/6.47 (! [A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :( ( perp(A,B,C,H)& perp(A,C,B,H)& perp(B,C,A,H)& midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,O)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,O)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,O)& midp(MIDPNT4,A,H)& perp(A,H,MIDPNT4,OC)& midp(MIDPNT5,A,B)& perp(A,B,MIDPNT5,OC)& midp(MIDPNT6,H,B)& perp(H,B,MIDPNT6,OC)& midp(MIDPNT7,B,H)& perp(B,H,MIDPNT7,OA)& midp(MIDPNT8,B,C)& perp(B,C,MIDPNT8,OA)& midp(MIDPNT9,H,C)& perp(H,C,MIDPNT9,OA)& midp(MIDPNT01,C,H)& perp(C,H,MIDPNT01,OB)& midp(MIDPNT11,C,A)& perp(C,A,MIDPNT11,OB)& midp(MIDPNT21,H,A)& perp(H,A,MIDPNT21,OB) )=> cong(H,OA,H,OB) ) )),
% 8.01/6.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.01/6.47 fof(f96,negated_conjecture,(
% 8.01/6.47 ~((! [A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :( ( perp(A,B,C,H)& perp(A,C,B,H)& perp(B,C,A,H)& midp(MIDPNT1,A,B)& perp(A,B,MIDPNT1,O)& midp(MIDPNT2,A,C)& perp(A,C,MIDPNT2,O)& midp(MIDPNT3,B,C)& perp(B,C,MIDPNT3,O)& midp(MIDPNT4,A,H)& perp(A,H,MIDPNT4,OC)& midp(MIDPNT5,A,B)& perp(A,B,MIDPNT5,OC)& midp(MIDPNT6,H,B)& perp(H,B,MIDPNT6,OC)& midp(MIDPNT7,B,H)& perp(B,H,MIDPNT7,OA)& midp(MIDPNT8,B,C)& perp(B,C,MIDPNT8,OA)& midp(MIDPNT9,H,C)& perp(H,C,MIDPNT9,OA)& midp(MIDPNT01,C,H)& perp(C,H,MIDPNT01,OB)& midp(MIDPNT11,C,A)& perp(C,A,MIDPNT11,OB)& midp(MIDPNT21,H,A)& perp(H,A,MIDPNT21,OB) )=> cong(H,OA,H,OB) ) ))),
% 8.01/6.47 inference(negated_conjecture,[status(cth)],[f95])).
% 8.01/6.47 fof(f97,plain,(
% 8.01/6.47 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 8.01/6.47 fof(f98,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f97])).
% 8.01/6.47 fof(f104,plain,(
% 8.01/6.47 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 8.01/6.47 fof(f105,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f104])).
% 8.01/6.47 fof(f106,plain,(
% 8.01/6.47 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 8.01/6.47 fof(f107,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f106])).
% 8.01/6.47 fof(f121,plain,(
% 8.01/6.47 ![A,B,M]: (~midp(M,B,A)|midp(M,A,B))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 8.01/6.47 fof(f122,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~midp(X0,X1,X2)|midp(X0,X2,X1))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f121])).
% 8.01/6.47 fof(f137,plain,(
% 8.01/6.47 ![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))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 8.01/6.47 fof(f138,plain,(
% 8.01/6.47 ![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))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f137])).
% 8.01/6.47 fof(f139,plain,(
% 8.01/6.47 ![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))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 8.01/6.47 fof(f140,plain,(
% 8.01/6.47 ![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))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f139])).
% 8.01/6.47 fof(f148,plain,(
% 8.01/6.47 ![A,B,C,D]: (~cong(A,B,C,D)|cong(A,B,D,C))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 8.01/6.47 fof(f149,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X0,X1,X3,X2))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f148])).
% 8.01/6.47 fof(f150,plain,(
% 8.01/6.47 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 8.01/6.47 fof(f151,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f150])).
% 8.01/6.47 fof(f152,plain,(
% 8.01/6.47 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 8.01/6.47 fof(f153,plain,(
% 8.01/6.47 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 8.01/6.47 inference(miniscoping,[status(thm)],[f152])).
% 8.01/6.47 fof(f154,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f153])).
% 8.01/6.47 fof(f184,plain,(
% 8.01/6.47 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 8.01/6.47 fof(f185,plain,(
% 8.01/6.47 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 8.01/6.47 inference(miniscoping,[status(thm)],[f184])).
% 8.01/6.47 fof(f186,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f185])).
% 8.01/6.47 fof(f187,plain,(
% 8.01/6.47 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 8.01/6.47 fof(f188,plain,(
% 8.01/6.47 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 8.01/6.47 inference(miniscoping,[status(thm)],[f187])).
% 8.01/6.47 fof(f189,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f188])).
% 8.01/6.47 fof(f199,plain,(
% 8.01/6.47 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 8.01/6.47 fof(f200,plain,(
% 8.01/6.47 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 8.01/6.47 inference(miniscoping,[status(thm)],[f199])).
% 8.01/6.47 fof(f201,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f200])).
% 8.01/6.47 fof(f202,plain,(
% 8.01/6.47 ![A,B,C,E,F]: (((~midp(E,A,B)|~para(E,F,B,C))|~coll(F,A,C))|midp(F,A,C))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 8.01/6.47 fof(f203,plain,(
% 8.01/6.47 ![A,C,F]: (((![B,E]: (~midp(E,A,B)|~para(E,F,B,C)))|~coll(F,A,C))|midp(F,A,C))),
% 8.01/6.47 inference(miniscoping,[status(thm)],[f202])).
% 8.01/6.47 fof(f204,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X0,X3,X2,X4)|~coll(X3,X1,X4)|midp(X3,X1,X4))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f203])).
% 8.01/6.47 fof(f205,plain,(
% 8.01/6.47 ![A,B,O]: (~cong(O,A,O,B)|eqangle(O,A,A,B,A,B,O,B))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 8.01/6.47 fof(f206,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|eqangle(X0,X1,X1,X2,X1,X2,X0,X2))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f205])).
% 8.01/6.47 fof(f247,plain,(
% 8.01/6.47 ![A,B,C,D,M]: ((~midp(M,A,B)|~midp(M,C,D))|para(A,C,B,D))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f64])).
% 8.01/6.47 fof(f248,plain,(
% 8.01/6.47 ![A,B,C,D]: ((![M]: (~midp(M,A,B)|~midp(M,C,D)))|para(A,C,B,D))),
% 8.01/6.47 inference(miniscoping,[status(thm)],[f247])).
% 8.01/6.47 fof(f249,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X0,X3,X4)|para(X1,X3,X2,X4))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f248])).
% 8.01/6.47 fof(f250,plain,(
% 8.01/6.47 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 8.01/6.47 fof(f251,plain,(
% 8.01/6.47 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 8.01/6.47 inference(miniscoping,[status(thm)],[f250])).
% 8.01/6.47 fof(f252,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f251])).
% 8.01/6.47 fof(f255,plain,(
% 8.01/6.47 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 8.01/6.47 fof(f256,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f255])).
% 8.01/6.47 fof(f257,plain,(
% 8.01/6.47 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 8.01/6.47 fof(f258,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f257])).
% 8.01/6.47 fof(f259,plain,(
% 8.01/6.47 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 8.01/6.47 fof(f260,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f259])).
% 8.01/6.47 fof(f369,plain,(
% 8.01/6.47 (?[A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21]: (((((((((((((((((((((((((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,O))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O))&midp(MIDPNT4,A,H))&perp(A,H,MIDPNT4,OC))&midp(MIDPNT5,A,B))&perp(A,B,MIDPNT5,OC))&midp(MIDPNT6,H,B))&perp(H,B,MIDPNT6,OC))&midp(MIDPNT7,B,H))&perp(B,H,MIDPNT7,OA))&midp(MIDPNT8,B,C))&perp(B,C,MIDPNT8,OA))&midp(MIDPNT9,H,C))&perp(H,C,MIDPNT9,OA))&midp(MIDPNT01,C,H))&perp(C,H,MIDPNT01,OB))&midp(MIDPNT11,C,A))&perp(C,A,MIDPNT11,OB))&midp(MIDPNT21,H,A))&perp(H,A,MIDPNT21,OB))&~cong(H,OA,H,OB)))),
% 8.01/6.47 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 8.01/6.47 fof(f370,plain,(
% 8.01/6.47 ?[H,OA,OB]: ((?[A,MIDPNT21]: (((?[C,MIDPNT11]: (((?[MIDPNT01]: (((?[MIDPNT9]: (((?[B,MIDPNT8]: (((?[MIDPNT7]: (((?[OC,MIDPNT6]: (((?[MIDPNT5]: (((?[MIDPNT4]: (((?[O,MIDPNT3]: (((?[MIDPNT2]: (((?[MIDPNT1]: ((((perp(A,B,C,H)&perp(A,C,B,H))&perp(B,C,A,H))&midp(MIDPNT1,A,B))&perp(A,B,MIDPNT1,O)))&midp(MIDPNT2,A,C))&perp(A,C,MIDPNT2,O)))&midp(MIDPNT3,B,C))&perp(B,C,MIDPNT3,O)))&midp(MIDPNT4,A,H))&perp(A,H,MIDPNT4,OC)))&midp(MIDPNT5,A,B))&perp(A,B,MIDPNT5,OC)))&midp(MIDPNT6,H,B))&perp(H,B,MIDPNT6,OC)))&midp(MIDPNT7,B,H))&perp(B,H,MIDPNT7,OA)))&midp(MIDPNT8,B,C))&perp(B,C,MIDPNT8,OA)))&midp(MIDPNT9,H,C))&perp(H,C,MIDPNT9,OA)))&midp(MIDPNT01,C,H))&perp(C,H,MIDPNT01,OB)))&midp(MIDPNT11,C,A))&perp(C,A,MIDPNT11,OB)))&midp(MIDPNT21,H,A))&perp(H,A,MIDPNT21,OB)))&~cong(H,OA,H,OB))),
% 8.01/6.47 inference(miniscoping,[status(thm)],[f369])).
% 8.01/6.47 fof(f371,plain,(
% 8.01/6.47 (((((((((((((((((((((((((((perp(sK23_skl,sK29_skl,sK25_skl,sK20_skl)&perp(sK23_skl,sK25_skl,sK29_skl,sK20_skl))&perp(sK29_skl,sK25_skl,sK23_skl,sK20_skl))&midp(sK39_skl,sK23_skl,sK29_skl))&perp(sK23_skl,sK29_skl,sK39_skl,sK36_skl))&midp(sK38_skl,sK23_skl,sK25_skl))&perp(sK23_skl,sK25_skl,sK38_skl,sK36_skl))&midp(sK37_skl,sK29_skl,sK25_skl))&perp(sK29_skl,sK25_skl,sK37_skl,sK36_skl))&midp(sK35_skl,sK23_skl,sK20_skl))&perp(sK23_skl,sK20_skl,sK35_skl,sK32_skl))&midp(sK34_skl,sK23_skl,sK29_skl))&perp(sK23_skl,sK29_skl,sK34_skl,sK32_skl))&midp(sK33_skl,sK20_skl,sK29_skl))&perp(sK20_skl,sK29_skl,sK33_skl,sK32_skl))&midp(sK31_skl,sK29_skl,sK20_skl))&perp(sK29_skl,sK20_skl,sK31_skl,sK21_skl))&midp(sK30_skl,sK29_skl,sK25_skl))&perp(sK29_skl,sK25_skl,sK30_skl,sK21_skl))&midp(sK28_skl,sK20_skl,sK25_skl))&perp(sK20_skl,sK25_skl,sK28_skl,sK21_skl))&midp(sK27_skl,sK25_skl,sK20_skl))&perp(sK25_skl,sK20_skl,sK27_skl,sK22_skl))&midp(sK26_skl,sK25_skl,sK23_skl))&perp(sK25_skl,sK23_skl,sK26_skl,sK22_skl))&midp(sK24_skl,sK20_skl,sK23_skl))&perp(sK20_skl,sK23_skl,sK24_skl,sK22_skl))&~cong(sK20_skl,sK21_skl,sK20_skl,sK22_skl))),
% 8.01/6.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl,sK37_skl,sK38_skl,sK39_skl]),skolemize(H,sK20_skl),skolemize(OA,sK21_skl),skolemize(OB,sK22_skl),skolemize(A,sK23_skl),skolemize(MIDPNT21,sK24_skl),skolemize(C,sK25_skl),skolemize(MIDPNT11,sK26_skl),skolemize(MIDPNT01,sK27_skl),skolemize(MIDPNT9,sK28_skl),skolemize(B,sK29_skl),skolemize(MIDPNT8,sK30_skl),skolemize(MIDPNT7,sK31_skl),skolemize(OC,sK32_skl),skolemize(MIDPNT6,sK33_skl),skolemize(MIDPNT5,sK34_skl),skolemize(MIDPNT4,sK35_skl),skolemize(O,sK36_skl),skolemize(MIDPNT3,sK37_skl),skolemize(MIDPNT2,sK38_skl),skolemize(MIDPNT1,sK39_skl)],[f370])).
% 8.01/6.47 fof(f375,plain,(
% 8.01/6.47 midp(sK39_skl,sK23_skl,sK29_skl)),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f371])).
% 8.01/6.47 fof(f397,plain,(
% 8.01/6.47 midp(sK24_skl,sK20_skl,sK23_skl)),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f371])).
% 8.01/6.47 fof(f399,plain,(
% 8.01/6.47 ~cong(sK20_skl,sK21_skl,sK20_skl,sK22_skl)),
% 8.01/6.47 inference(cnf_transformation,[status(thm)],[f371])).
% 8.01/6.47 fof(f400,plain,(
% 8.01/6.47 ~midp(sK20_skl,sK21_skl,sK22_skl)),
% 8.01/6.47 inference(resolution,[status(thm)],[f260,f399])).
% 8.01/6.47 fof(f401,plain,(
% 8.01/6.47 ~midp(sK20_skl,sK22_skl,sK21_skl)),
% 8.01/6.47 inference(resolution,[status(thm)],[f400,f122])).
% 8.01/6.47 fof(f430,plain,(
% 8.01/6.47 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X0,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f256,f107])).
% 8.01/6.47 fof(f431,plain,(
% 8.01/6.47 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X1,X2,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f256,f105])).
% 8.01/6.47 fof(f433,plain,(
% 8.01/6.47 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X1,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f430,f105])).
% 8.01/6.47 fof(f434,plain,(
% 8.01/6.47 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X2,X0,X0,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f431,f107])).
% 8.01/6.47 fof(f436,plain,(
% 8.01/6.47 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X1,X0,X0,X2))),
% 8.01/6.47 inference(resolution,[status(thm)],[f433,f107])).
% 8.01/6.47 fof(f439,plain,(
% 8.01/6.47 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X2,X0,X1,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f434,f105])).
% 8.01/6.47 fof(f441,plain,(
% 8.01/6.47 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X1,X0,X2,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f436,f105])).
% 8.01/6.47 fof(f475,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|midp(X0,X1,X2)|~coll(X0,X2,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f258,f98])).
% 8.01/6.47 fof(f618,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X1,X0,X4,X5))),
% 8.01/6.47 inference(resolution,[status(thm)],[f138,f186])).
% 8.01/6.47 fof(f619,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|para(X2,X3,X4,X5))),
% 8.01/6.47 inference(resolution,[status(thm)],[f140,f186])).
% 8.01/6.47 fof(f692,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|~midp(X3,X1,X3)|coll(X3,X2,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f201,f439])).
% 8.01/6.47 fof(f701,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (~midp(X0,X1,X2)|coll(X3,X2,X0)|~midp(X3,X3,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f692,f122])).
% 8.01/6.47 fof(f764,plain,(
% 8.01/6.47 ![X0,X1]: (~cong(X0,X0,X0,X1)|para(X0,X0,X0,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f206,f186])).
% 8.01/6.47 fof(f770,plain,(
% 8.01/6.47 ![X0,X1]: (para(X0,X0,X0,X1)|~midp(X0,X0,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f764,f260])).
% 8.01/6.47 fof(f865,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~para(X1,X0,X2,X3))),
% 8.01/6.47 inference(resolution,[status(thm)],[f618,f189])).
% 8.01/6.47 fof(f877,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~para(X1,X0,X3,X2))),
% 8.01/6.47 inference(resolution,[status(thm)],[f865,f105])).
% 8.01/6.47 fof(f891,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~para(X3,X2,X1,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f877,f107])).
% 8.01/6.47 fof(f912,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~para(X3,X2,X0,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f891,f105])).
% 8.01/6.47 fof(f1013,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (para(X0,X1,X0,X1)|~para(X2,X3,X2,X3))),
% 8.01/6.47 inference(resolution,[status(thm)],[f619,f189])).
% 8.01/6.47 fof(f1018,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (para(X0,X1,X0,X1)|~para(X2,X3,X3,X2))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1013,f105])).
% 8.01/6.47 fof(f1045,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4]: (para(X0,X1,X0,X1)|~midp(X2,X3,X4)|~midp(X2,X4,X3))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1018,f249])).
% 8.01/6.47 fof(f1050,plain,(
% 8.01/6.47 ![X0,X1,X2,X3,X4]: (para(X0,X1,X0,X1)|~midp(X2,X3,X4))),
% 8.01/6.47 inference(forward_subsumption_resolution,[status(thm)],[f1045,f122])).
% 8.01/6.47 fof(f1108,plain,(
% 8.01/6.47 ![X0,X1]: (para(X0,X1,X0,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1050,f397])).
% 8.01/6.47 fof(f1123,plain,(
% 8.01/6.47 ![X0,X1]: (para(X0,X1,X1,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1108,f912])).
% 8.01/6.47 fof(f1128,plain,(
% 8.01/6.47 ![X0,X1]: (coll(X0,X1,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1108,f441])).
% 8.01/6.47 fof(f1142,plain,(
% 8.01/6.47 ![X0,X1]: (~cong(X0,X1,X0,X1)|midp(X0,X1,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1128,f475])).
% 8.01/6.47 fof(f1195,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (midp(X0,X1,X1)|~cong(X0,X1,X2,X3)|~cong(X2,X3,X0,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1142,f154])).
% 8.01/6.47 fof(f1199,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (midp(X0,X1,X1)|~cong(X2,X3,X0,X1))),
% 8.01/6.47 inference(forward_subsumption_resolution,[status(thm)],[f1195,f151])).
% 8.01/6.47 fof(f1222,plain,(
% 8.01/6.47 ![X0,X1,X2,X3]: (midp(X0,X1,X1)|~cong(X2,X3,X1,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1199,f149])).
% 8.01/6.47 fof(f1223,plain,(
% 8.01/6.47 ![X0,X1,X2]: (midp(X0,X1,X1)|~midp(X0,X2,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1199,f260])).
% 8.01/6.47 fof(f1235,plain,(
% 8.01/6.47 midp(sK39_skl,sK29_skl,sK29_skl)),
% 8.01/6.47 inference(resolution,[status(thm)],[f1223,f375])).
% 8.01/6.47 fof(f1255,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~midp(X0,X1,X2)|~coll(X2,X1,X0)|midp(X2,X1,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f204,f1123])).
% 8.01/6.47 fof(f1409,plain,(
% 8.01/6.47 ![X0,X1,X2]: (midp(X0,X1,X1)|~midp(X1,X2,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1222,f260])).
% 8.01/6.47 fof(f1443,plain,(
% 8.01/6.47 midp(sK29_skl,sK39_skl,sK39_skl)),
% 8.01/6.47 inference(resolution,[status(thm)],[f1409,f1235])).
% 8.01/6.47 fof(f1991,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X2)|midp(X0,X2,X2))),
% 8.01/6.47 inference(resolution,[status(thm)],[f252,f1108])).
% 8.01/6.47 fof(f1997,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~midp(X0,X1,X1)|midp(X0,X2,X2))),
% 8.01/6.47 inference(forward_subsumption_resolution,[status(thm)],[f1991,f1108])).
% 8.01/6.47 fof(f2006,plain,(
% 8.01/6.47 ![X0]: (midp(sK29_skl,X0,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1997,f1443])).
% 8.01/6.47 fof(f2063,plain,(
% 8.01/6.47 ![X0]: (midp(X0,sK29_skl,sK29_skl))),
% 8.01/6.47 inference(resolution,[status(thm)],[f2006,f1409])).
% 8.01/6.47 fof(f2411,plain,(
% 8.01/6.47 ![X0,X1]: (midp(X0,X1,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f2063,f1997])).
% 8.01/6.47 fof(f2483,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X1,X2,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f2411,f701])).
% 8.01/6.47 fof(f2596,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~coll(X0,X1,X2)|midp(X0,X1,X2)|~midp(X2,X0,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f1255,f122])).
% 8.01/6.47 fof(f2597,plain,(
% 8.01/6.47 ![X0,X1,X2]: (midp(X0,X1,X2)|~midp(X2,X0,X1))),
% 8.01/6.47 inference(forward_subsumption_resolution,[status(thm)],[f2596,f2483])).
% 8.01/6.47 fof(f2690,plain,(
% 8.01/6.47 ![X0,X1]: (midp(X0,X0,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f2597,f2411])).
% 8.01/6.47 fof(f2694,plain,(
% 8.01/6.47 ![X0,X1]: (para(X0,X0,X0,X1))),
% 8.01/6.47 inference(backward_subsumption_resolution,[status(thm)],[f770,f2690])).
% 8.01/6.47 fof(f2765,plain,(
% 8.01/6.47 ![X0,X1,X2]: (~midp(X0,X1,X1)|~para(X1,X2,X1,X1)|midp(X0,X2,X1))),
% 8.01/6.47 inference(resolution,[status(thm)],[f2694,f252])).
% 8.01/6.47 fof(f2767,plain,(
% 8.01/6.47 ![X0,X1]: (para(X0,X1,X0,X0))),
% 8.01/6.47 inference(resolution,[status(thm)],[f2694,f912])).
% 8.01/6.49 fof(f2781,plain,(
% 8.01/6.49 ![X0,X1,X2]: (~para(X0,X1,X0,X0)|midp(X2,X1,X0))),
% 8.01/6.49 inference(forward_subsumption_resolution,[status(thm)],[f2765,f2411])).
% 8.01/6.49 fof(f2783,plain,(
% 8.01/6.49 ![X0,X1,X2]: (midp(X0,X1,X2))),
% 8.01/6.49 inference(backward_subsumption_resolution,[status(thm)],[f2781,f2767])).
% 8.01/6.49 fof(f2860,plain,(
% 8.01/6.49 $false),
% 8.01/6.49 inference(backward_subsumption_resolution,[status(thm)],[f401,f2783])).
% 8.01/6.49 % SZS output end CNFRefutation for theBenchmark.p
% 4.08/6.51 % Elapsed time: 1.127405 seconds
% 4.08/6.51 % CPU time: 8.714768 seconds
% 4.08/6.51 % Total memory used: 155.572 MB
% 4.08/6.51 % Net memory used: 147.412 MB
%------------------------------------------------------------------------------