0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.12/0.34 % Computer : n017.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 02:33:30 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.36 % Drodi V3.3.3 4.41/0.95 % Refutation found 4.41/0.95 % SZS status Theorem for theBenchmark: Theorem is valid 4.41/0.95 % SZS output start CNFRefutation for theBenchmark 4.41/0.95 fof(f5,axiom,( 4.41/0.95 (! [A,B,C,D,P,Q,U,V] :( eqratio(B,A,C,D,P,Q,U,V)<= eqratio(A,B,C,D,P,Q,U,V) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f6,axiom,( 4.41/0.95 (! [A,B,P,Q] :( perp(A,B,P,Q)<= ( cong(A,Q,B,Q)& cong(A,P,B,P) ) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f9,axiom,( 4.41/0.95 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)<= para(A,B,C,D) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f13,axiom,( 4.41/0.95 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f15,axiom,( 4.41/0.95 (! [A,B,C,D,P,Q,U,V] :( cong(A,B,C,D)<= ( cong(P,Q,U,V)& eqratio(A,B,C,D,P,Q,U,V) ) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f16,axiom,( 4.41/0.95 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f26,axiom,( 4.41/0.95 (! [A,B,C] :( midp(A,B,C)=> coll(A,B,C) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f27,axiom,( 4.41/0.95 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f28,axiom,( 4.41/0.95 (! [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) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f32,axiom,( 4.41/0.95 (! [A,B,C,D,O] :( ( coll(O,B,D)& coll(O,A,C)& para(A,B,C,D) )=> eqratio(O,A,A,C,O,B,B,D) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f43,axiom,( 4.41/0.95 (! [A,B,C,P,Q,R] :( ( cyclic(A,B,C,P)& cyclic(A,B,C,Q)& eqangle(C,A,C,B,R,P,R,Q)& cyclic(A,B,C,R) )=> cong(A,B,P,Q) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f45,axiom,( 4.41/0.95 (! [A,B,C,D,M,N,Q] :(? [P] :( midp(P,A,Q)<= ( midp(M,A,B)& midp(N,C,D)& coll(D,A,B)& coll(C,A,B) ) ) ))), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f47,axiom,( 4.41/0.95 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f49,axiom,( 4.41/0.95 (! [A,B,C,D] :( ( coll(A,B,D)& coll(A,B,C) )=> coll(C,D,A) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f50,axiom,( 4.41/0.95 (! [A,B,C,D,P,Q,U,V] :( eqratio(C,D,A,B,U,V,P,Q)<= eqratio(A,B,C,D,P,Q,U,V) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f52,axiom,( 4.41/0.95 (! [A,B,C] :( coll(A,C,B)<= coll(A,B,C) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f55,axiom,( 4.41/0.95 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f58,axiom,( 4.41/0.95 (! [A,B,C,D,M] :( para(A,C,B,D)<= ( midp(M,C,D)& midp(M,A,B) ) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f62,axiom,( 4.41/0.95 (! [A,B,C,D,P,Q,U,V] :( eqratio(A,B,C,D,P,Q,U,V)=> eqratio(A,B,P,Q,C,D,U,V) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f77,axiom,( 4.41/0.95 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f79,axiom,( 4.41/0.95 (! [A,B,C,D,P,Q,U,V] :( eqangle(C,D,A,B,U,V,P,Q)<= eqangle(A,B,C,D,P,Q,U,V) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f89,axiom,( 4.41/0.95 (! [A,B,C,D,E] :( ( cyclic(A,B,C,E)& cyclic(A,B,C,D) )=> cyclic(B,C,D,E) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f91,axiom,( 4.41/0.95 (! [A,B,C,D,P,Q] :( para(A,B,C,D)<= eqangle(A,B,P,Q,C,D,P,Q) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f95,conjecture,( 4.41/0.95 (! [A,B,C,D,E,F,G] :( perp(F,G,D,E)<= ( coll(D,A,B)& midp(F,C,B)& midp(G,D,E)& coll(E,A,C)& perp(E,B,A,C)& perp(D,C,A,B) ) ) )), 4.41/0.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 4.41/0.95 fof(f96,negated_conjecture,( 4.41/0.95 ~((! [A,B,C,D,E,F,G] :( perp(F,G,D,E)<= ( coll(D,A,B)& midp(F,C,B)& midp(G,D,E)& coll(E,A,C)& perp(E,B,A,C)& perp(D,C,A,B) ) ) ))), 4.41/0.95 inference(negated_conjecture,[status(cth)],[f95])). 4.41/0.95 fof(f112,plain,( 4.41/0.95 ![A,B,C,D,P,Q,U,V]: (eqratio(B,A,C,D,P,Q,U,V)|~eqratio(A,B,C,D,P,Q,U,V))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f5])). 4.41/0.95 fof(f113,plain,( 4.41/0.95 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqratio(X0,X1,X2,X3,X4,X5,X6,X7)|~eqratio(X1,X0,X2,X3,X4,X5,X6,X7))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f112])). 4.41/0.95 fof(f114,plain,( 4.41/0.95 ![A,B,P,Q]: (perp(A,B,P,Q)|(~cong(A,Q,B,Q)|~cong(A,P,B,P)))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f6])). 4.41/0.95 fof(f115,plain,( 4.41/0.95 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~cong(X0,X3,X1,X3)|~cong(X0,X2,X1,X2))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f114])). 4.41/0.95 fof(f120,plain,( 4.41/0.95 ![A,B,C,D,P,Q]: (eqangle(A,B,P,Q,C,D,P,Q)|~para(A,B,C,D))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f9])). 4.41/0.95 fof(f121,plain,( 4.41/0.95 ![A,B,C,D]: ((![P,Q]: eqangle(A,B,P,Q,C,D,P,Q))|~para(A,B,C,D))), 4.41/0.95 inference(miniscoping,[status(esa)],[f120])). 4.41/0.95 fof(f122,plain,( 4.41/0.95 ![X0,X1,X2,X3,X4,X5]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|~para(X0,X1,X4,X5))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f121])). 4.41/0.95 fof(f132,plain,( 4.41/0.95 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f13])). 4.41/0.95 fof(f133,plain,( 4.41/0.95 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f132])). 4.41/0.95 fof(f137,plain,( 4.41/0.95 ![A,B,C,D,P,Q,U,V]: (cong(A,B,C,D)|(~cong(P,Q,U,V)|~eqratio(A,B,C,D,P,Q,U,V)))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f15])). 4.41/0.95 fof(f138,plain,( 4.41/0.95 ![A,B,C,D]: (cong(A,B,C,D)|(![P,Q,U,V]: (~cong(P,Q,U,V)|~eqratio(A,B,C,D,P,Q,U,V))))), 4.41/0.95 inference(miniscoping,[status(esa)],[f137])). 4.41/0.95 fof(f139,plain,( 4.41/0.95 ![X0,X1,X2,X3,X4,X5,X6,X7]: (cong(X0,X1,X2,X3)|~cong(X4,X5,X6,X7)|~eqratio(X0,X1,X2,X3,X4,X5,X6,X7))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f138])). 4.41/0.95 fof(f140,plain,( 4.41/0.95 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f16])). 4.41/0.95 fof(f141,plain,( 4.41/0.95 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f140])). 4.41/0.95 fof(f170,plain,( 4.41/0.95 ![A,B,C]: (~midp(A,B,C)|coll(A,B,C))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f26])). 4.41/0.95 fof(f171,plain,( 4.41/0.95 ![X0,X1,X2]: (~midp(X0,X1,X2)|coll(X0,X1,X2))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f170])). 4.41/0.95 fof(f172,plain,( 4.41/0.95 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f27])). 4.41/0.95 fof(f173,plain,( 4.41/0.95 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f172])). 4.41/0.95 fof(f174,plain,( 4.41/0.95 ![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))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f28])). 4.41/0.95 fof(f175,plain,( 4.41/0.95 ![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))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f174])). 4.41/0.95 fof(f184,plain,( 4.41/0.95 ![A,B,C,D,O]: (((~coll(O,B,D)|~coll(O,A,C))|~para(A,B,C,D))|eqratio(O,A,A,C,O,B,B,D))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f32])). 4.41/0.95 fof(f185,plain,( 4.41/0.95 ![X0,X1,X2,X3,X4]: (~coll(X0,X1,X2)|~coll(X0,X3,X4)|~para(X3,X1,X4,X2)|eqratio(X0,X3,X3,X4,X0,X1,X1,X2))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f184])). 4.41/0.95 fof(f218,plain,( 4.41/0.95 ![A,B,C,P,Q,R]: ((((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~eqangle(C,A,C,B,R,P,R,Q))|~cyclic(A,B,C,R))|cong(A,B,P,Q))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f43])). 4.41/0.95 fof(f219,plain,( 4.41/0.95 ![A,B,P,Q]: ((![C,R]: (((~cyclic(A,B,C,P)|~cyclic(A,B,C,Q))|~eqangle(C,A,C,B,R,P,R,Q))|~cyclic(A,B,C,R)))|cong(A,B,P,Q))), 4.41/0.95 inference(miniscoping,[status(esa)],[f218])). 4.41/0.95 fof(f220,plain,( 4.41/0.95 ![X0,X1,X2,X3,X4,X5]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|~eqangle(X2,X0,X2,X1,X5,X3,X5,X4)|~cyclic(X0,X1,X2,X5)|cong(X0,X1,X3,X4))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f219])). 4.41/0.95 fof(f224,plain,( 4.41/0.95 ![A,B,C,D,M,N,Q]: (?[P]: (midp(P,A,Q)|(((~midp(M,A,B)|~midp(N,C,D))|~coll(D,A,B))|~coll(C,A,B))))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f45])). 4.41/0.95 fof(f225,plain,( 4.41/0.95 ![A]: ((![Q]: ?[P]: midp(P,A,Q))|(![B,C]: ((![D]: (((![M]: ~midp(M,A,B))|(![N]: ~midp(N,C,D)))|~coll(D,A,B)))|~coll(C,A,B))))), 4.41/0.95 inference(miniscoping,[status(esa)],[f224])). 4.41/0.95 fof(f226,plain,( 4.41/0.95 ![A]: ((![Q]: midp(sk0_9(Q,A),A,Q))|(![B,C]: ((![D]: (((![M]: ~midp(M,A,B))|(![N]: ~midp(N,C,D)))|~coll(D,A,B)))|~coll(C,A,B))))), 4.41/0.95 inference(skolemization,[status(esa)],[f225])). 4.41/0.95 fof(f227,plain,( 4.41/0.95 ![X0,X1,X2,X3,X4,X5,X6]: (midp(sk0_9(X0,X1),X1,X0)|~midp(X2,X1,X3)|~midp(X4,X5,X6)|~coll(X6,X1,X3)|~coll(X5,X1,X3))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f226])). 4.41/0.95 fof(f232,plain,( 4.41/0.95 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f47])). 4.41/0.95 fof(f233,plain,( 4.41/0.95 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f232])). 4.41/0.95 fof(f236,plain,( 4.41/0.95 ![A,B,C,D]: ((~coll(A,B,D)|~coll(A,B,C))|coll(C,D,A))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f49])). 4.41/0.95 fof(f237,plain,( 4.41/0.95 ![A,C,D]: ((![B]: (~coll(A,B,D)|~coll(A,B,C)))|coll(C,D,A))), 4.41/0.95 inference(miniscoping,[status(esa)],[f236])). 4.41/0.95 fof(f238,plain,( 4.41/0.95 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X3,X2,X0))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f237])). 4.41/0.95 fof(f239,plain,( 4.41/0.95 ![A,B,C,D,P,Q,U,V]: (eqratio(C,D,A,B,U,V,P,Q)|~eqratio(A,B,C,D,P,Q,U,V))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f50])). 4.41/0.95 fof(f240,plain,( 4.41/0.95 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqratio(X0,X1,X2,X3,X4,X5,X6,X7)|~eqratio(X2,X3,X0,X1,X6,X7,X4,X5))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f239])). 4.41/0.95 fof(f244,plain,( 4.41/0.95 ![A,B,C]: (coll(A,C,B)|~coll(A,B,C))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f52])). 4.41/0.95 fof(f245,plain,( 4.41/0.95 ![X0,X1,X2]: (coll(X0,X1,X2)|~coll(X0,X2,X1))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f244])). 4.41/0.95 fof(f251,plain,( 4.41/0.95 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f55])). 4.41/0.95 fof(f252,plain,( 4.41/0.95 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))), 4.41/0.95 inference(cnf_transformation,[status(esa)],[f251])). 4.41/0.95 fof(f259,plain,( 4.41/0.95 ![A,B,C,D,M]: (para(A,C,B,D)|(~midp(M,C,D)|~midp(M,A,B)))), 4.41/0.95 inference(pre_NNF_transformation,[status(esa)],[f58])). 4.41/0.96 fof(f260,plain,( 4.41/0.96 ![A,B,C,D]: (para(A,C,B,D)|(![M]: (~midp(M,C,D)|~midp(M,A,B))))), 4.41/0.96 inference(miniscoping,[status(esa)],[f259])). 4.41/0.96 fof(f261,plain,( 4.41/0.96 ![X0,X1,X2,X3,X4]: (para(X0,X1,X2,X3)|~midp(X4,X1,X3)|~midp(X4,X0,X2))), 4.41/0.96 inference(cnf_transformation,[status(esa)],[f260])). 4.41/0.96 fof(f271,plain,( 4.41/0.96 ![A,B,C,D,P,Q,U,V]: (~eqratio(A,B,C,D,P,Q,U,V)|eqratio(A,B,P,Q,C,D,U,V))), 4.41/0.96 inference(pre_NNF_transformation,[status(esa)],[f62])). 4.41/0.96 fof(f272,plain,( 4.41/0.96 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~eqratio(X0,X1,X2,X3,X4,X5,X6,X7)|eqratio(X0,X1,X4,X5,X2,X3,X6,X7))), 4.41/0.96 inference(cnf_transformation,[status(esa)],[f271])). 4.41/0.96 fof(f318,plain,( 4.41/0.96 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))), 4.41/0.96 inference(pre_NNF_transformation,[status(esa)],[f77])). 4.41/0.96 fof(f319,plain,( 4.41/0.96 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))), 4.41/0.96 inference(cnf_transformation,[status(esa)],[f318])). 4.41/0.96 fof(f325,plain,( 4.41/0.96 ![A,B,C,D,P,Q,U,V]: (eqangle(C,D,A,B,U,V,P,Q)|~eqangle(A,B,C,D,P,Q,U,V))), 4.41/0.96 inference(pre_NNF_transformation,[status(esa)],[f79])). 4.41/0.96 fof(f326,plain,( 4.41/0.96 ![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))), 4.41/0.96 inference(cnf_transformation,[status(esa)],[f325])). 4.41/0.96 fof(f353,plain,( 4.41/0.96 ![A,B,C,D,E]: ((~cyclic(A,B,C,E)|~cyclic(A,B,C,D))|cyclic(B,C,D,E))), 4.41/0.96 inference(pre_NNF_transformation,[status(esa)],[f89])). 4.41/0.96 fof(f354,plain,( 4.41/0.96 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,E)|~cyclic(A,B,C,D)))|cyclic(B,C,D,E))), 4.41/0.96 inference(miniscoping,[status(esa)],[f353])). 4.41/0.96 fof(f355,plain,( 4.41/0.96 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X4,X3))), 4.41/0.96 inference(cnf_transformation,[status(esa)],[f354])). 4.41/0.96 fof(f360,plain,( 4.41/0.96 ![A,B,C,D,P,Q]: (para(A,B,C,D)|~eqangle(A,B,P,Q,C,D,P,Q))), 4.41/0.96 inference(pre_NNF_transformation,[status(esa)],[f91])). 4.41/0.96 fof(f361,plain,( 4.41/0.96 ![A,B,C,D]: (para(A,B,C,D)|(![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q)))), 4.41/0.96 inference(miniscoping,[status(esa)],[f360])). 4.41/0.96 fof(f362,plain,( 4.41/0.96 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X2,X3)|~eqangle(X0,X1,X4,X5,X2,X3,X4,X5))), 4.41/0.96 inference(cnf_transformation,[status(esa)],[f361])). 4.41/0.96 fof(f369,plain,( 4.41/0.96 (?[A,B,C,D,E,F,G]: (~perp(F,G,D,E)&(((((coll(D,A,B)&midp(F,C,B))&midp(G,D,E))&coll(E,A,C))&perp(E,B,A,C))&perp(D,C,A,B))))), 4.41/0.96 inference(pre_NNF_transformation,[status(esa)],[f96])). 4.41/0.96 fof(f370,plain,( 4.41/0.96 ?[D,E,F,G]: (~perp(F,G,D,E)&(?[A,B,C]: (((((coll(D,A,B)&midp(F,C,B))&midp(G,D,E))&coll(E,A,C))&perp(E,B,A,C))&perp(D,C,A,B))))), 4.41/0.96 inference(miniscoping,[status(esa)],[f369])). 4.41/0.96 fof(f371,plain,( 4.41/0.96 (~perp(sk0_22,sk0_23,sk0_20,sk0_21)&(((((coll(sk0_20,sk0_24,sk0_25)&midp(sk0_22,sk0_26,sk0_25))&midp(sk0_23,sk0_20,sk0_21))&coll(sk0_21,sk0_24,sk0_26))&perp(sk0_21,sk0_25,sk0_24,sk0_26))&perp(sk0_20,sk0_26,sk0_24,sk0_25)))), 4.41/0.96 inference(skolemization,[status(esa)],[f370])). 4.41/0.96 fof(f372,plain,( 4.41/0.96 ~perp(sk0_22,sk0_23,sk0_20,sk0_21)), 4.41/0.96 inference(cnf_transformation,[status(esa)],[f371])). 4.41/0.96 fof(f374,plain,( 4.41/0.96 midp(sk0_22,sk0_26,sk0_25)), 4.41/0.96 inference(cnf_transformation,[status(esa)],[f371])). 4.41/0.96 fof(f380,plain,( 4.41/0.96 coll(sk0_22,sk0_26,sk0_25)), 4.41/0.96 inference(resolution,[status(thm)],[f171,f374])). 4.41/0.96 fof(f388,plain,( 4.41/0.96 coll(sk0_26,sk0_22,sk0_25)), 4.41/0.96 inference(resolution,[status(thm)],[f380,f233])). 4.41/0.96 fof(f391,plain,( 4.41/0.96 coll(sk0_22,sk0_25,sk0_26)), 4.41/0.96 inference(resolution,[status(thm)],[f245,f380])). 4.41/0.96 fof(f412,plain,( 4.41/0.96 coll(sk0_25,sk0_22,sk0_26)), 4.41/0.96 inference(resolution,[status(thm)],[f391,f233])). 4.41/0.96 fof(f587,plain,( 4.41/0.96 spl0_30 <=> midp(sk0_9(X0,sk0_26),sk0_26,X0)), 4.41/0.96 introduced(split_symbol_definition)). 4.41/0.96 fof(f588,plain,( 4.41/0.96 ![X0]: (midp(sk0_9(X0,sk0_26),sk0_26,X0)|~spl0_30)), 4.41/0.96 inference(component_clause,[status(thm)],[f587])). 4.41/0.96 fof(f590,plain,( 4.41/0.96 spl0_31 <=> coll(sk0_25,sk0_26,sk0_25)), 4.41/0.96 introduced(split_symbol_definition)). 4.41/0.96 fof(f592,plain,( 4.41/0.96 ~coll(sk0_25,sk0_26,sk0_25)|spl0_31), 4.41/0.96 inference(component_clause,[status(thm)],[f590])). 4.41/0.96 fof(f593,plain,( 4.41/0.96 spl0_32 <=> coll(sk0_26,sk0_26,sk0_25)), 4.41/0.96 introduced(split_symbol_definition)). 4.41/0.96 fof(f595,plain,( 4.41/0.96 ~coll(sk0_26,sk0_26,sk0_25)|spl0_32), 4.41/0.96 inference(component_clause,[status(thm)],[f593])). 4.41/0.96 fof(f596,plain,( 4.41/0.96 ![X0]: (midp(sk0_9(X0,sk0_26),sk0_26,X0)|~coll(sk0_25,sk0_26,sk0_25)|~coll(sk0_26,sk0_26,sk0_25))), 4.41/0.96 inference(resolution,[status(thm)],[f227,f374])). 4.41/0.96 fof(f597,plain,( 4.41/0.96 spl0_30|~spl0_31|~spl0_32), 4.41/0.96 inference(split_clause,[status(thm)],[f596,f587,f590,f593])). 4.41/0.96 fof(f623,plain,( 4.41/0.96 coll(sk0_26,sk0_26,sk0_25)), 4.41/0.96 inference(resolution,[status(thm)],[f238,f412])). 4.41/0.96 fof(f633,plain,( 4.41/0.96 coll(sk0_25,sk0_25,sk0_26)), 4.41/0.96 inference(resolution,[status(thm)],[f238,f388])). 4.41/0.96 fof(f855,plain,( 4.41/0.96 coll(sk0_25,sk0_26,sk0_25)), 4.41/0.96 inference(resolution,[status(thm)],[f633,f245])). 4.41/0.96 fof(f1889,plain,( 4.41/0.96 ![X0]: (para(sk0_26,sk0_26,X0,X0)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f588,f261])). 4.41/0.96 fof(f1940,plain,( 4.41/0.96 ![X0,X1,X2]: (eqangle(sk0_26,sk0_26,X0,X1,X2,X2,X0,X1)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f1889,f122])). 4.41/0.96 fof(f1968,plain,( 4.41/0.96 ![X0,X1,X2]: (eqangle(X0,X1,sk0_26,sk0_26,X0,X1,X2,X2)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f1940,f326])). 4.41/0.96 fof(f1996,plain,( 4.41/0.96 ![X0]: (~coll(sk0_26,sk0_26,X0)|cyclic(sk0_26,X0,sk0_26,sk0_26)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f1940,f133])). 4.41/0.96 fof(f2029,plain,( 4.41/0.96 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f1968,f362])). 4.41/0.96 fof(f2063,plain,( 4.41/0.96 ![X0,X1]: (para(X0,X1,X1,X0)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2029,f252])). 4.41/0.96 fof(f2064,plain,( 4.41/0.96 ![X0,X1,X2]: (~coll(X0,X1,X1)|~coll(X0,X2,X2)|eqratio(X0,X2,X2,X2,X0,X1,X1,X1)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2029,f185])). 4.41/0.96 fof(f2065,plain,( 4.41/0.96 ![X0,X1]: (coll(X0,X1,X1)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2029,f141])). 4.41/0.96 fof(f2074,plain,( 4.41/0.96 ![X0,X1,X2]: (~coll(X0,X1,X1)|eqratio(X0,X1,X1,X1,X0,X2,X2,X2)|~spl0_30)), 4.41/0.96 inference(backward_subsumption_resolution,[status(thm)],[f2064,f2065])). 4.41/0.96 fof(f2075,plain,( 4.41/0.96 ![X0,X1,X2]: (eqratio(X0,X1,X1,X1,X0,X2,X2,X2)|~spl0_30)), 4.41/0.96 inference(forward_subsumption_resolution,[status(thm)],[f2074,f2065])). 4.41/0.96 fof(f2082,plain,( 4.41/0.96 ![X0,X1]: (coll(X0,X0,X1)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2065,f238])). 4.41/0.96 fof(f2112,plain,( 4.41/0.96 ![X0]: (cyclic(sk0_26,X0,sk0_26,sk0_26)|~spl0_30)), 4.41/0.96 inference(backward_subsumption_resolution,[status(thm)],[f1996,f2082])). 4.41/0.96 fof(f2196,plain,( 4.41/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X1,X0,X2,X3)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2063,f122])). 4.41/0.96 fof(f2212,plain,( 4.41/0.96 ![X0,X1,X2]: (eqratio(X0,X1,X0,X2,X1,X1,X2,X2)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2075,f272])). 4.41/0.96 fof(f2221,plain,( 4.41/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,X0,X1,X3,X2)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2196,f326])). 4.41/0.96 fof(f2251,plain,( 4.41/0.96 ![X0,X1,X2]: (eqratio(X0,X1,X1,X2,X0,X0,X2,X2)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2212,f113])). 4.41/0.96 fof(f2283,plain,( 4.41/0.96 ![X0,X1,X2,X3]: (eqangle(X0,X1,X0,X1,X2,X3,X3,X2)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2221,f175])). 4.41/0.96 fof(f2310,plain,( 4.41/0.96 ![X0,X1,X2]: (eqratio(X0,X1,X2,X0,X1,X1,X2,X2)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2251,f240])). 4.41/0.96 fof(f2354,plain,( 4.41/0.96 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X2)|~cyclic(X0,X0,X1,X2)|cong(X0,X0,X2,X2)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2283,f220])). 4.41/0.96 fof(f2355,plain,( 4.41/0.96 ![X0,X1,X2]: (~cyclic(X0,X0,X1,X2)|cong(X0,X0,X2,X2)|~spl0_30)), 4.41/0.96 inference(duplicate_literals_removal,[status(esa)],[f2354])). 4.41/0.96 fof(f2366,plain,( 4.41/0.96 ![X0,X1,X2]: (eqratio(X0,X1,X2,X1,X0,X0,X2,X2)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2310,f113])). 4.41/0.96 fof(f2422,plain,( 4.41/0.96 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~cong(X0,X0,X2,X2)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2366,f139])). 4.41/0.96 fof(f2581,plain,( 4.41/0.96 ![X0]: (cyclic(sk0_26,sk0_26,X0,sk0_26)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2112,f319])). 4.41/0.96 fof(f2675,plain,( 4.41/0.96 ![X0]: (cyclic(sk0_26,sk0_26,sk0_26,X0)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2581,f173])). 4.41/0.96 fof(f2774,plain,( 4.41/0.96 ![X0,X1]: (~cyclic(sk0_26,sk0_26,sk0_26,X0)|cyclic(sk0_26,sk0_26,X1,X0)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2675,f355])). 4.41/0.96 fof(f2775,plain,( 4.41/0.96 ![X0,X1]: (cyclic(sk0_26,sk0_26,X0,X1)|~spl0_30)), 4.41/0.96 inference(forward_subsumption_resolution,[status(thm)],[f2774,f2675])). 4.41/0.96 fof(f2787,plain,( 4.41/0.96 $false|spl0_31), 4.41/0.96 inference(forward_subsumption_resolution,[status(thm)],[f855,f592])). 4.41/0.96 fof(f2788,plain,( 4.41/0.96 spl0_31), 4.41/0.96 inference(contradiction_clause,[status(thm)],[f2787])). 4.41/0.96 fof(f2789,plain,( 4.41/0.96 $false|spl0_32), 4.41/0.96 inference(forward_subsumption_resolution,[status(thm)],[f595,f623])). 4.41/0.96 fof(f2790,plain,( 4.41/0.96 spl0_32), 4.41/0.96 inference(contradiction_clause,[status(thm)],[f2789])). 4.41/0.96 fof(f3110,plain,( 4.41/0.96 ![X0,X1,X2]: (~cyclic(sk0_26,sk0_26,X0,X1)|cyclic(sk0_26,X0,X2,X1)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f2775,f355])). 4.41/0.96 fof(f3111,plain,( 4.41/0.96 ![X0,X1,X2]: (cyclic(sk0_26,X0,X1,X2)|~spl0_30)), 4.41/0.96 inference(forward_subsumption_resolution,[status(thm)],[f3110,f2775])). 4.41/0.96 fof(f3473,plain,( 4.41/0.96 ![X0,X1,X2,X3]: (~cyclic(sk0_26,X0,X1,X2)|cyclic(X0,X1,X3,X2)|~spl0_30)), 4.41/0.96 inference(resolution,[status(thm)],[f3111,f355])). 4.41/0.96 fof(f3474,plain,( 4.41/0.96 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_30)), 4.41/0.96 inference(forward_subsumption_resolution,[status(thm)],[f3473,f3111])). 4.41/0.96 fof(f3495,plain,( 4.41/0.96 ![X0,X1]: (cong(X0,X0,X1,X1)|~spl0_30)), 4.41/0.96 inference(backward_subsumption_resolution,[status(thm)],[f2355,f3474])). 4.41/0.96 fof(f3496,plain,( 4.41/0.96 ![X0,X1,X2]: (cong(X0,X1,X2,X1)|~spl0_30)), 4.41/0.96 inference(backward_subsumption_resolution,[status(thm)],[f2422,f3495])). 4.41/0.96 fof(f3500,plain,( 4.41/0.96 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~cong(X0,X2,X1,X2)|~spl0_30)), 4.41/0.96 inference(backward_subsumption_resolution,[status(thm)],[f115,f3496])). 4.41/0.96 fof(f3501,plain,( 4.41/0.96 ![X0,X1,X2,X3]: (perp(X0,X1,X2,X3)|~spl0_30)), 4.41/0.96 inference(forward_subsumption_resolution,[status(thm)],[f3500,f3496])). 4.41/0.96 fof(f3512,plain,( 4.41/0.96 $false|~spl0_30), 4.41/0.96 inference(backward_subsumption_resolution,[status(thm)],[f372,f3501])). 4.41/0.96 fof(f3513,plain,( 4.41/0.96 ~spl0_30), 4.41/0.96 inference(contradiction_clause,[status(thm)],[f3512])). 4.41/0.96 fof(f3514,plain,( 4.41/0.96 $false), 4.41/0.96 inference(sat_refutation,[status(thm)],[f597,f2788,f2790,f3513])). 4.41/0.96 % SZS output end CNFRefutation for theBenchmark.p 4.41/0.97 % Elapsed time: 0.619300 seconds 4.41/0.97 % CPU time: 4.739639 seconds 4.41/0.97 % Memory used: 132.521 MB 4.41/0.97 EOF