TSTP Solution File: GEO554+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO554+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:09:09 EDT 2023
% Result : Theorem 1.61s 0.62s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO554+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n009.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 May 30 11:55:46 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 1.61/0.62 % Refutation found
% 1.61/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.61/0.62 % SZS output start CNFRefutation for theBenchmark
% 1.61/0.62 fof(f1,axiom,(
% 1.61/0.62 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f2,axiom,(
% 1.61/0.62 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f3,axiom,(
% 1.61/0.62 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f4,axiom,(
% 1.61/0.62 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f5,axiom,(
% 1.61/0.62 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f7,axiom,(
% 1.61/0.62 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(A,B,D,C) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f8,axiom,(
% 1.61/0.62 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f9,axiom,(
% 1.61/0.62 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f10,axiom,(
% 1.61/0.62 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& perp(C,D,E,F) )=> perp(A,B,E,F) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f18,axiom,(
% 1.61/0.62 (! [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) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f19,axiom,(
% 1.61/0.62 (! [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) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f39,axiom,(
% 1.61/0.62 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f40,axiom,(
% 1.61/0.62 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f67,axiom,(
% 1.61/0.62 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f95,conjecture,(
% 1.61/0.62 (! [A,B,C,D,E,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9] :( ( perp(C,A,C,B)& circle(A,C,NWPNT1,NWPNT2)& circle(B,C,NWPNT3,NWPNT4)& circle(A,C,D,NWPNT5)& coll(C,D,E)& circle(B,C,E,NWPNT6)& coll(B,E,F)& circle(B,C,F,NWPNT7)& circle(A,C,G,NWPNT8)& circle(B,C,G,NWPNT9) )=> coll(D,F,G) ) )),
% 1.61/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.61/0.62 fof(f96,negated_conjecture,(
% 1.61/0.62 ~((! [A,B,C,D,E,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9] :( ( perp(C,A,C,B)& circle(A,C,NWPNT1,NWPNT2)& circle(B,C,NWPNT3,NWPNT4)& circle(A,C,D,NWPNT5)& coll(C,D,E)& circle(B,C,E,NWPNT6)& coll(B,E,F)& circle(B,C,F,NWPNT7)& circle(A,C,G,NWPNT8)& circle(B,C,G,NWPNT9) )=> coll(D,F,G) ) ))),
% 1.61/0.62 inference(negated_conjecture,[status(cth)],[f95])).
% 1.61/0.62 fof(f97,plain,(
% 1.61/0.62 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 1.61/0.62 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 1.61/0.62 fof(f98,plain,(
% 1.61/0.62 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 1.61/0.62 inference(cnf_transformation,[status(esa)],[f97])).
% 1.61/0.62 fof(f99,plain,(
% 1.61/0.62 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 1.61/0.62 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 1.61/0.62 fof(f100,plain,(
% 1.61/0.62 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 1.61/0.62 inference(cnf_transformation,[status(esa)],[f99])).
% 1.61/0.62 fof(f101,plain,(
% 1.61/0.62 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 1.61/0.62 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 1.61/0.62 fof(f102,plain,(
% 1.61/0.62 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 1.61/0.62 inference(miniscoping,[status(esa)],[f101])).
% 1.61/0.62 fof(f103,plain,(
% 1.61/0.62 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 1.61/0.62 inference(cnf_transformation,[status(esa)],[f102])).
% 1.61/0.62 fof(f104,plain,(
% 1.61/0.62 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 1.61/0.62 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 1.61/0.62 fof(f105,plain,(
% 1.61/0.62 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 1.61/0.62 inference(cnf_transformation,[status(esa)],[f104])).
% 1.61/0.62 fof(f106,plain,(
% 1.61/0.62 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 1.61/0.62 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 1.61/0.63 fof(f107,plain,(
% 1.61/0.63 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f106])).
% 1.61/0.63 fof(f111,plain,(
% 1.61/0.63 ![A,B,C,D]: (~perp(A,B,C,D)|perp(A,B,D,C))),
% 1.61/0.63 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 1.61/0.63 fof(f112,plain,(
% 1.61/0.63 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X0,X1,X3,X2))),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f111])).
% 1.61/0.63 fof(f113,plain,(
% 1.61/0.63 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 1.61/0.63 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 1.61/0.63 fof(f114,plain,(
% 1.61/0.63 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f113])).
% 1.61/0.63 fof(f115,plain,(
% 1.61/0.63 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 1.61/0.63 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 1.61/0.63 fof(f116,plain,(
% 1.61/0.63 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 1.61/0.63 inference(miniscoping,[status(esa)],[f115])).
% 1.61/0.63 fof(f117,plain,(
% 1.61/0.63 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f116])).
% 1.61/0.63 fof(f118,plain,(
% 1.61/0.63 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~perp(C,D,E,F))|perp(A,B,E,F))),
% 1.61/0.63 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 1.61/0.63 fof(f119,plain,(
% 1.61/0.63 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~perp(C,D,E,F)))|perp(A,B,E,F))),
% 1.61/0.63 inference(miniscoping,[status(esa)],[f118])).
% 1.61/0.63 fof(f120,plain,(
% 1.61/0.63 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|perp(X0,X1,X4,X5))),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f119])).
% 1.61/0.63 fof(f137,plain,(
% 1.61/0.63 ![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))),
% 1.61/0.63 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 1.61/0.63 fof(f138,plain,(
% 1.61/0.63 ![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))),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f137])).
% 1.61/0.63 fof(f139,plain,(
% 1.61/0.63 ![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))),
% 1.61/0.63 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 1.61/0.63 fof(f140,plain,(
% 1.61/0.63 ![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))),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f139])).
% 1.61/0.63 fof(f184,plain,(
% 1.61/0.63 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 1.61/0.63 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 1.61/0.63 fof(f185,plain,(
% 1.61/0.63 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 1.61/0.63 inference(miniscoping,[status(esa)],[f184])).
% 1.61/0.63 fof(f186,plain,(
% 1.61/0.63 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f185])).
% 1.61/0.63 fof(f187,plain,(
% 1.61/0.63 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 1.61/0.63 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 1.61/0.63 fof(f188,plain,(
% 1.61/0.63 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 1.61/0.63 inference(miniscoping,[status(esa)],[f187])).
% 1.61/0.63 fof(f189,plain,(
% 1.61/0.63 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f188])).
% 1.61/0.63 fof(f255,plain,(
% 1.61/0.63 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 1.61/0.63 inference(pre_NNF_transformation,[status(esa)],[f67])).
% 1.61/0.63 fof(f256,plain,(
% 1.61/0.63 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f255])).
% 1.61/0.63 fof(f369,plain,(
% 1.61/0.63 (?[A,B,C,D,E,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9]: ((((((((((perp(C,A,C,B)&circle(A,C,NWPNT1,NWPNT2))&circle(B,C,NWPNT3,NWPNT4))&circle(A,C,D,NWPNT5))&coll(C,D,E))&circle(B,C,E,NWPNT6))&coll(B,E,F))&circle(B,C,F,NWPNT7))&circle(A,C,G,NWPNT8))&circle(B,C,G,NWPNT9))&~coll(D,F,G)))),
% 1.61/0.63 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 1.61/0.63 fof(f370,plain,(
% 1.61/0.63 ?[D,F,G]: ((?[B,C]: ((?[A]: (((?[E]: ((((((perp(C,A,C,B)&(?[NWPNT1,NWPNT2]: circle(A,C,NWPNT1,NWPNT2)))&(?[NWPNT3,NWPNT4]: circle(B,C,NWPNT3,NWPNT4)))&(?[NWPNT5]: circle(A,C,D,NWPNT5)))&coll(C,D,E))&(?[NWPNT6]: circle(B,C,E,NWPNT6)))&coll(B,E,F)))&(?[NWPNT7]: circle(B,C,F,NWPNT7)))&(?[NWPNT8]: circle(A,C,G,NWPNT8))))&(?[NWPNT9]: circle(B,C,G,NWPNT9))))&~coll(D,F,G))),
% 1.61/0.63 inference(miniscoping,[status(esa)],[f369])).
% 1.61/0.63 fof(f371,plain,(
% 1.61/0.63 ((((((((((perp(sk0_24,sk0_25,sk0_24,sk0_23)&circle(sk0_25,sk0_24,sk0_27,sk0_28))&circle(sk0_23,sk0_24,sk0_29,sk0_30))&circle(sk0_25,sk0_24,sk0_20,sk0_31))&coll(sk0_24,sk0_20,sk0_26))&circle(sk0_23,sk0_24,sk0_26,sk0_32))&coll(sk0_23,sk0_26,sk0_21))&circle(sk0_23,sk0_24,sk0_21,sk0_33))&circle(sk0_25,sk0_24,sk0_22,sk0_34))&circle(sk0_23,sk0_24,sk0_22,sk0_35))&~coll(sk0_20,sk0_21,sk0_22))),
% 1.61/0.63 inference(skolemization,[status(esa)],[f370])).
% 1.61/0.63 fof(f372,plain,(
% 1.61/0.63 perp(sk0_24,sk0_25,sk0_24,sk0_23)),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f371])).
% 1.61/0.63 fof(f376,plain,(
% 1.61/0.63 coll(sk0_24,sk0_20,sk0_26)),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f371])).
% 1.61/0.63 fof(f378,plain,(
% 1.61/0.63 coll(sk0_23,sk0_26,sk0_21)),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f371])).
% 1.61/0.63 fof(f382,plain,(
% 1.61/0.63 ~coll(sk0_20,sk0_21,sk0_22)),
% 1.61/0.63 inference(cnf_transformation,[status(esa)],[f371])).
% 1.61/0.63 fof(f383,plain,(
% 1.61/0.63 ~coll(sk0_20,sk0_22,sk0_21)),
% 1.61/0.63 inference(resolution,[status(thm)],[f98,f382])).
% 1.61/0.63 fof(f385,plain,(
% 1.61/0.63 ~coll(sk0_22,sk0_20,sk0_21)),
% 1.61/0.63 inference(resolution,[status(thm)],[f100,f383])).
% 1.61/0.63 fof(f395,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_23,sk0_26,X0)|coll(X0,sk0_21,sk0_23))),
% 1.61/0.63 inference(resolution,[status(thm)],[f103,f378])).
% 1.61/0.63 fof(f397,plain,(
% 1.61/0.63 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|coll(X2,X3,X0)|~coll(X1,X0,X3))),
% 1.61/0.63 inference(resolution,[status(thm)],[f103,f100])).
% 1.61/0.63 fof(f398,plain,(
% 1.61/0.63 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|coll(X2,X3,X0)|~coll(X0,X3,X1))),
% 1.61/0.63 inference(resolution,[status(thm)],[f103,f98])).
% 1.61/0.63 fof(f401,plain,(
% 1.61/0.63 ![X0,X1]: (~perp(X0,X1,sk0_24,sk0_25)|para(X0,X1,sk0_24,sk0_23))),
% 1.61/0.63 inference(resolution,[status(thm)],[f117,f372])).
% 1.61/0.63 fof(f404,plain,(
% 1.61/0.63 ![X0,X1]: (~coll(sk0_23,sk0_26,X0)|~coll(X0,sk0_21,X1)|coll(X1,sk0_23,X0))),
% 1.61/0.63 inference(resolution,[status(thm)],[f395,f103])).
% 1.61/0.63 fof(f406,plain,(
% 1.61/0.63 ![X0,X1]: (para(X0,X1,sk0_24,sk0_23)|~perp(sk0_24,sk0_25,X0,X1))),
% 1.61/0.63 inference(resolution,[status(thm)],[f401,f114])).
% 1.61/0.63 fof(f408,plain,(
% 1.61/0.63 para(sk0_24,sk0_23,sk0_24,sk0_23)),
% 1.61/0.63 inference(resolution,[status(thm)],[f406,f372])).
% 1.61/0.63 fof(f412,plain,(
% 1.61/0.63 para(sk0_24,sk0_23,sk0_23,sk0_24)),
% 1.61/0.63 inference(resolution,[status(thm)],[f408,f105])).
% 1.61/0.63 fof(f413,plain,(
% 1.61/0.63 coll(sk0_24,sk0_23,sk0_23)),
% 1.61/0.63 inference(resolution,[status(thm)],[f408,f256])).
% 1.61/0.63 fof(f414,plain,(
% 1.61/0.63 ![X0,X1,X2]: (~coll(sk0_23,sk0_26,X0)|~coll(X0,sk0_21,X1)|~coll(X1,sk0_23,X2)|coll(X2,X0,X1))),
% 1.61/0.63 inference(resolution,[status(thm)],[f404,f103])).
% 1.61/0.63 fof(f415,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_24,sk0_23,X0)|coll(X0,sk0_23,sk0_24))),
% 1.61/0.63 inference(resolution,[status(thm)],[f413,f103])).
% 1.61/0.63 fof(f416,plain,(
% 1.61/0.63 ![X0,X1]: (~perp(sk0_23,sk0_24,X0,X1)|perp(sk0_24,sk0_23,X0,X1))),
% 1.61/0.63 inference(resolution,[status(thm)],[f412,f120])).
% 1.61/0.63 fof(f418,plain,(
% 1.61/0.63 para(sk0_23,sk0_24,sk0_24,sk0_23)),
% 1.61/0.63 inference(resolution,[status(thm)],[f412,f107])).
% 1.61/0.63 fof(f420,plain,(
% 1.61/0.63 ![X0,X1]: (~perp(sk0_24,sk0_23,X0,X1)|perp(sk0_23,sk0_24,X0,X1))),
% 1.61/0.63 inference(resolution,[status(thm)],[f418,f120])).
% 1.61/0.63 fof(f436,plain,(
% 1.61/0.63 ![X0,X1]: (perp(sk0_24,sk0_23,X0,X1)|~perp(sk0_23,sk0_24,X1,X0))),
% 1.61/0.63 inference(resolution,[status(thm)],[f416,f112])).
% 1.61/0.63 fof(f438,plain,(
% 1.61/0.63 ![X0,X1]: (~coll(sk0_23,sk0_26,X0)|~coll(sk0_23,sk0_23,X1)|coll(X1,X0,sk0_23)|~coll(sk0_23,sk0_26,X0))),
% 1.61/0.63 inference(resolution,[status(thm)],[f414,f395])).
% 1.61/0.63 fof(f439,plain,(
% 1.61/0.63 ![X0,X1]: (~coll(sk0_23,sk0_26,X0)|~coll(sk0_23,sk0_23,X1)|coll(X1,X0,sk0_23))),
% 1.61/0.63 inference(duplicate_literals_removal,[status(esa)],[f438])).
% 1.61/0.63 fof(f442,plain,(
% 1.61/0.63 ![X0,X1]: (perp(sk0_23,sk0_24,X0,X1)|~perp(X0,X1,sk0_24,sk0_23))),
% 1.61/0.63 inference(resolution,[status(thm)],[f420,f114])).
% 1.61/0.63 fof(f452,plain,(
% 1.61/0.63 perp(sk0_23,sk0_24,sk0_24,sk0_25)),
% 1.61/0.63 inference(resolution,[status(thm)],[f442,f372])).
% 1.61/0.63 fof(f455,plain,(
% 1.61/0.63 perp(sk0_24,sk0_23,sk0_25,sk0_24)),
% 1.61/0.63 inference(resolution,[status(thm)],[f452,f436])).
% 1.61/0.63 fof(f462,plain,(
% 1.61/0.63 ![X0,X1]: (~perp(X0,X1,sk0_24,sk0_23)|para(X0,X1,sk0_25,sk0_24))),
% 1.61/0.63 inference(resolution,[status(thm)],[f455,f117])).
% 1.61/0.63 fof(f491,plain,(
% 1.61/0.63 spl0_1 <=> coll(sk0_23,sk0_23,sk0_24)),
% 1.61/0.63 introduced(split_symbol_definition)).
% 1.61/0.63 fof(f493,plain,(
% 1.61/0.63 ~coll(sk0_23,sk0_23,sk0_24)|spl0_1),
% 1.61/0.63 inference(component_clause,[status(thm)],[f491])).
% 1.61/0.63 fof(f499,plain,(
% 1.61/0.63 spl0_3 <=> coll(sk0_23,sk0_26,sk0_21)),
% 1.61/0.63 introduced(split_symbol_definition)).
% 1.61/0.63 fof(f501,plain,(
% 1.61/0.63 ~coll(sk0_23,sk0_26,sk0_21)|spl0_3),
% 1.61/0.63 inference(component_clause,[status(thm)],[f499])).
% 1.61/0.63 fof(f508,plain,(
% 1.61/0.63 $false|spl0_3),
% 1.61/0.63 inference(forward_subsumption_resolution,[status(thm)],[f501,f378])).
% 1.61/0.63 fof(f509,plain,(
% 1.61/0.63 spl0_3),
% 1.61/0.63 inference(contradiction_clause,[status(thm)],[f508])).
% 1.61/0.63 fof(f510,plain,(
% 1.61/0.63 ~coll(sk0_24,sk0_23,sk0_23)|spl0_1),
% 1.61/0.63 inference(resolution,[status(thm)],[f493,f415])).
% 1.61/0.63 fof(f511,plain,(
% 1.61/0.63 $false|spl0_1),
% 1.61/0.63 inference(forward_subsumption_resolution,[status(thm)],[f510,f413])).
% 1.61/0.63 fof(f512,plain,(
% 1.61/0.63 spl0_1),
% 1.61/0.63 inference(contradiction_clause,[status(thm)],[f511])).
% 1.61/0.63 fof(f513,plain,(
% 1.61/0.63 para(sk0_24,sk0_25,sk0_25,sk0_24)),
% 1.61/0.63 inference(resolution,[status(thm)],[f462,f372])).
% 1.61/0.63 fof(f518,plain,(
% 1.61/0.63 para(sk0_25,sk0_24,sk0_24,sk0_25)),
% 1.61/0.63 inference(resolution,[status(thm)],[f513,f107])).
% 1.61/0.63 fof(f561,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_21,X0,sk0_22)|~coll(X0,sk0_21,sk0_20))),
% 1.61/0.63 inference(resolution,[status(thm)],[f397,f385])).
% 1.61/0.63 fof(f577,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_21,X0,sk0_22)|~coll(X0,sk0_20,sk0_21))),
% 1.61/0.63 inference(resolution,[status(thm)],[f561,f98])).
% 1.61/0.63 fof(f626,plain,(
% 1.61/0.63 spl0_20 <=> coll(sk0_21,sk0_21,sk0_22)),
% 1.61/0.63 introduced(split_symbol_definition)).
% 1.61/0.63 fof(f627,plain,(
% 1.61/0.63 coll(sk0_21,sk0_21,sk0_22)|~spl0_20),
% 1.61/0.63 inference(component_clause,[status(thm)],[f626])).
% 1.61/0.63 fof(f628,plain,(
% 1.61/0.63 ~coll(sk0_21,sk0_21,sk0_22)|spl0_20),
% 1.61/0.63 inference(component_clause,[status(thm)],[f626])).
% 1.61/0.63 fof(f660,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_21,X0,sk0_22)|~coll(sk0_20,X0,sk0_21))),
% 1.61/0.63 inference(resolution,[status(thm)],[f577,f100])).
% 1.61/0.63 fof(f691,plain,(
% 1.61/0.63 spl0_27 <=> coll(sk0_21,sk0_21,sk0_20)),
% 1.61/0.63 introduced(split_symbol_definition)).
% 1.61/0.63 fof(f693,plain,(
% 1.61/0.63 ~coll(sk0_21,sk0_21,sk0_20)|spl0_27),
% 1.61/0.63 inference(component_clause,[status(thm)],[f691])).
% 1.61/0.63 fof(f718,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_22,X0,sk0_21)|~coll(X0,sk0_22,sk0_21)|spl0_20)),
% 1.61/0.63 inference(resolution,[status(thm)],[f628,f397])).
% 1.61/0.63 fof(f719,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_22,X0,sk0_21)|spl0_20)),
% 1.61/0.63 inference(forward_subsumption_resolution,[status(thm)],[f718,f100])).
% 1.61/0.63 fof(f728,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_22,sk0_21,X0)|spl0_20)),
% 1.61/0.63 inference(resolution,[status(thm)],[f719,f98])).
% 1.61/0.63 fof(f746,plain,(
% 1.61/0.63 spl0_32 <=> coll(sk0_20,sk0_21,sk0_21)),
% 1.61/0.63 introduced(split_symbol_definition)).
% 1.61/0.63 fof(f748,plain,(
% 1.61/0.63 ~coll(sk0_20,sk0_21,sk0_21)|spl0_32),
% 1.61/0.63 inference(component_clause,[status(thm)],[f746])).
% 1.61/0.63 fof(f827,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_20,X0,sk0_21)|~coll(X0,sk0_20,sk0_21)|spl0_27)),
% 1.61/0.63 inference(resolution,[status(thm)],[f693,f397])).
% 1.61/0.63 fof(f828,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_20,X0,sk0_21)|spl0_27)),
% 1.61/0.63 inference(forward_subsumption_resolution,[status(thm)],[f827,f100])).
% 1.61/0.63 fof(f842,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_20,sk0_21,X0)|spl0_27)),
% 1.61/0.63 inference(resolution,[status(thm)],[f828,f98])).
% 1.61/0.63 fof(f846,plain,(
% 1.61/0.63 spl0_40 <=> coll(sk0_23,sk0_23,sk0_20)),
% 1.61/0.63 introduced(split_symbol_definition)).
% 1.61/0.63 fof(f848,plain,(
% 1.61/0.63 ~coll(sk0_23,sk0_23,sk0_20)|spl0_40),
% 1.61/0.63 inference(component_clause,[status(thm)],[f846])).
% 1.61/0.63 fof(f849,plain,(
% 1.61/0.63 ~coll(sk0_23,sk0_26,sk0_21)|~coll(sk0_23,sk0_23,sk0_20)|spl0_27),
% 1.61/0.63 inference(resolution,[status(thm)],[f842,f439])).
% 1.61/0.63 fof(f850,plain,(
% 1.61/0.63 ~spl0_3|~spl0_40|spl0_27),
% 1.61/0.63 inference(split_clause,[status(thm)],[f849,f499,f846,f691])).
% 1.61/0.63 fof(f1009,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_21,sk0_22,X0)|spl0_20)),
% 1.61/0.63 inference(resolution,[status(thm)],[f728,f100])).
% 1.61/0.63 fof(f1275,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_20,X0,sk0_23)|~coll(X0,sk0_20,sk0_23)|spl0_40)),
% 1.61/0.63 inference(resolution,[status(thm)],[f848,f397])).
% 1.61/0.63 fof(f1276,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_20,X0,sk0_23)|spl0_40)),
% 1.61/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1275,f100])).
% 1.61/0.63 fof(f1291,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_20,sk0_23,X0)|spl0_40)),
% 1.61/0.63 inference(resolution,[status(thm)],[f1276,f98])).
% 1.61/0.63 fof(f1304,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_23,sk0_20,X0)|spl0_40)),
% 1.61/0.63 inference(resolution,[status(thm)],[f1291,f100])).
% 1.61/0.63 fof(f1521,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_23,sk0_21,X0)|coll(X0,sk0_26,sk0_23))),
% 1.61/0.63 inference(resolution,[status(thm)],[f398,f378])).
% 1.61/0.63 fof(f1527,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_24,sk0_26,X0)|coll(X0,sk0_20,sk0_24))),
% 1.61/0.63 inference(resolution,[status(thm)],[f398,f376])).
% 1.61/0.63 fof(f1706,plain,(
% 1.61/0.63 coll(sk0_21,sk0_21,sk0_23)),
% 1.61/0.63 inference(resolution,[status(thm)],[f395,f378])).
% 1.61/0.63 fof(f1715,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_21,sk0_23,X0)|coll(X0,sk0_21,sk0_21))),
% 1.61/0.63 inference(resolution,[status(thm)],[f1706,f398])).
% 1.61/0.63 fof(f1716,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_21,sk0_21,X0)|coll(X0,sk0_23,sk0_21))),
% 1.61/0.63 inference(resolution,[status(thm)],[f1706,f103])).
% 1.61/0.63 fof(f1720,plain,(
% 1.61/0.63 ![X0]: (coll(X0,sk0_26,sk0_23)|~coll(sk0_23,X0,sk0_21))),
% 1.61/0.63 inference(resolution,[status(thm)],[f1521,f98])).
% 1.61/0.63 fof(f1763,plain,(
% 1.61/0.63 coll(sk0_23,sk0_23,sk0_21)),
% 1.61/0.63 inference(resolution,[status(thm)],[f1716,f1706])).
% 1.61/0.63 fof(f1764,plain,(
% 1.61/0.63 ![X0,X1]: (coll(X0,sk0_23,sk0_21)|~coll(X0,X1,sk0_21)|~coll(X1,X0,sk0_21))),
% 1.61/0.63 inference(resolution,[status(thm)],[f1716,f397])).
% 1.61/0.63 fof(f1765,plain,(
% 1.61/0.63 ![X0,X1]: (coll(X0,sk0_23,sk0_21)|~coll(X0,X1,sk0_21))),
% 1.61/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1764,f100])).
% 1.61/0.63 fof(f1779,plain,(
% 1.61/0.63 ![X0,X1]: (coll(X0,sk0_23,sk0_21)|~coll(X0,sk0_21,X1))),
% 1.61/0.63 inference(resolution,[status(thm)],[f1765,f98])).
% 1.61/0.63 fof(f1871,plain,(
% 1.61/0.63 coll(sk0_21,sk0_23,sk0_21)),
% 1.61/0.63 inference(resolution,[status(thm)],[f1779,f1706])).
% 1.61/0.63 fof(f1876,plain,(
% 1.61/0.63 coll(sk0_21,sk0_21,sk0_21)),
% 1.61/0.63 inference(resolution,[status(thm)],[f1871,f1715])).
% 1.61/0.63 fof(f1885,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_21,sk0_21,X0)|coll(X0,sk0_21,sk0_21))),
% 1.61/0.63 inference(resolution,[status(thm)],[f1876,f398])).
% 1.61/0.63 fof(f1962,plain,(
% 1.61/0.63 coll(sk0_23,sk0_26,sk0_23)),
% 1.61/0.63 inference(resolution,[status(thm)],[f1720,f1763])).
% 1.61/0.63 fof(f1979,plain,(
% 1.61/0.63 ![X0]: (~coll(sk0_23,sk0_23,X0)|coll(X0,sk0_26,sk0_23))),
% 1.61/0.63 inference(resolution,[status(thm)],[f1962,f398])).
% 1.61/0.63 fof(f1991,plain,(
% 1.61/0.63 spl0_116 <=> coll(sk0_23,sk0_20,sk0_24)),
% 1.61/0.63 introduced(split_symbol_definition)).
% 1.61/0.63 fof(f1992,plain,(
% 1.61/0.63 coll(sk0_23,sk0_20,sk0_24)|~spl0_116),
% 1.61/0.63 inference(component_clause,[status(thm)],[f1991])).
% 1.61/0.63 fof(f2060,plain,(
% 1.61/0.63 $false|spl0_40|~spl0_116),
% 1.61/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1992,f1304])).
% 1.61/0.63 fof(f2061,plain,(
% 1.61/0.63 spl0_40|~spl0_116),
% 1.61/0.63 inference(contradiction_clause,[status(thm)],[f2060])).
% 1.61/0.63 fof(f2386,plain,(
% 1.61/0.63 ~coll(sk0_23,sk0_23,sk0_24)|coll(sk0_23,sk0_20,sk0_24)),
% 1.61/0.63 inference(resolution,[status(thm)],[f1979,f1527])).
% 1.61/0.63 fof(f2387,plain,(
% 1.61/0.63 ~spl0_1|spl0_116),
% 1.61/0.63 inference(split_clause,[status(thm)],[f2386,f491,f1991])).
% 1.61/0.63 fof(f2638,plain,(
% 1.61/0.63 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X2,X3)|~eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 1.61/0.63 inference(resolution,[status(thm)],[f186,f140])).
% 1.61/0.63 fof(f2639,plain,(
% 1.61/0.63 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X2,X3)|~eqangle(X1,X0,X4,X5,X2,X3,X4,X5))),
% 1.61/0.63 inference(resolution,[status(thm)],[f186,f138])).
% 1.61/0.63 fof(f3124,plain,(
% 1.61/0.63 ~coll(sk0_21,sk0_21,sk0_20)|spl0_32),
% 1.61/0.63 inference(resolution,[status(thm)],[f748,f1885])).
% 1.61/0.63 fof(f3125,plain,(
% 1.61/0.63 ~spl0_27|spl0_32),
% 1.61/0.63 inference(split_clause,[status(thm)],[f3124,f691,f746])).
% 1.61/0.63 fof(f3199,plain,(
% 1.61/0.63 ~coll(sk0_20,sk0_21,sk0_21)|~spl0_20),
% 1.61/0.63 inference(resolution,[status(thm)],[f660,f627])).
% 1.61/0.63 fof(f3200,plain,(
% 1.61/0.63 ~spl0_32|~spl0_20),
% 1.61/0.63 inference(split_clause,[status(thm)],[f3199,f746,f626])).
% 1.61/0.63 fof(f4380,plain,(
% 1.61/0.63 spl0_194 <=> para(X0,X1,X0,X1)),
% 1.61/0.63 introduced(split_symbol_definition)).
% 1.61/0.63 fof(f4381,plain,(
% 1.61/0.63 ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_194)),
% 1.61/0.63 inference(component_clause,[status(thm)],[f4380])).
% 1.61/0.63 fof(f4383,plain,(
% 1.61/0.63 spl0_195 <=> ~para(X2,X3,X2,X3)),
% 1.61/0.63 introduced(split_symbol_definition)).
% 1.61/0.63 fof(f4384,plain,(
% 1.61/0.63 ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_195)),
% 1.61/0.63 inference(component_clause,[status(thm)],[f4383])).
% 1.61/0.63 fof(f4386,plain,(
% 1.61/0.63 ![X0,X1,X2,X3]: (para(X0,X1,X0,X1)|~para(X2,X3,X2,X3))),
% 1.61/0.63 inference(resolution,[status(thm)],[f2638,f189])).
% 1.61/0.63 fof(f4387,plain,(
% 1.61/0.63 spl0_194|spl0_195),
% 1.61/0.63 inference(split_clause,[status(thm)],[f4386,f4380,f4383])).
% 1.61/0.63 fof(f4394,plain,(
% 1.61/0.63 ![X0,X1,X2,X3]: (para(X0,X1,X2,X3)|~para(X1,X0,X2,X3))),
% 1.61/0.63 inference(resolution,[status(thm)],[f2639,f189])).
% 1.61/0.63 fof(f4403,plain,(
% 1.61/0.63 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X1,X0))),
% 1.61/0.63 inference(resolution,[status(thm)],[f4394,f107])).
% 1.61/0.63 fof(f4422,plain,(
% 1.61/0.63 ![X0,X1,X2]: (~para(X0,X1,X1,X2)|coll(X1,X2,X0))),
% 1.61/0.63 inference(resolution,[status(thm)],[f4403,f256])).
% 1.61/0.63 fof(f4445,plain,(
% 1.61/0.63 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X0,X1))),
% 1.61/0.64 inference(resolution,[status(thm)],[f4422,f4394])).
% 1.61/0.64 fof(f4559,plain,(
% 1.61/0.64 ![X0,X1]: (coll(X0,X1,X1)|~spl0_194)),
% 1.61/0.64 inference(resolution,[status(thm)],[f4381,f4445])).
% 1.61/0.64 fof(f4574,plain,(
% 1.61/0.64 ![X0,X1]: (~para(X0,X1,X1,X0)|~spl0_195)),
% 1.61/0.64 inference(resolution,[status(thm)],[f4384,f4403])).
% 1.61/0.64 fof(f4579,plain,(
% 1.61/0.64 $false|~spl0_195),
% 1.61/0.64 inference(backward_subsumption_resolution,[status(thm)],[f518,f4574])).
% 1.61/0.64 fof(f4580,plain,(
% 1.61/0.64 ~spl0_195),
% 1.61/0.64 inference(contradiction_clause,[status(thm)],[f4579])).
% 1.61/0.64 fof(f4581,plain,(
% 1.61/0.64 $false|~spl0_194|spl0_20),
% 1.61/0.64 inference(resolution,[status(thm)],[f4559,f1009])).
% 1.61/0.64 fof(f4582,plain,(
% 1.61/0.64 ~spl0_194|spl0_20),
% 1.61/0.64 inference(contradiction_clause,[status(thm)],[f4581])).
% 1.61/0.64 fof(f4583,plain,(
% 1.61/0.64 $false),
% 1.61/0.64 inference(sat_refutation,[status(thm)],[f509,f512,f850,f2061,f2387,f3125,f3200,f4387,f4580,f4582])).
% 1.61/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 1.61/0.64 % Elapsed time: 0.343950 seconds
% 1.61/0.64 % CPU time: 2.136260 seconds
% 1.61/0.64 % Memory used: 71.321 MB
%------------------------------------------------------------------------------