TSTP Solution File: GEO640+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO640+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:09:24 EDT 2023

% Result   : Theorem 24.03s 3.42s
% Output   : CNFRefutation 24.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO640+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n001.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 : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 12:28:30 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 24.03/3.42  % Refutation found
% 24.03/3.42  % SZS status Theorem for theBenchmark: Theorem is valid
% 24.03/3.42  % SZS output start CNFRefutation for theBenchmark
% 24.03/3.42  fof(f1,axiom,(
% 24.03/3.42    (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f2,axiom,(
% 24.03/3.42    (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f3,axiom,(
% 24.03/3.42    (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f8,axiom,(
% 24.03/3.42    (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f9,axiom,(
% 24.03/3.42    (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f17,axiom,(
% 24.03/3.42    (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f19,axiom,(
% 24.03/3.42    (! [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) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f21,axiom,(
% 24.03/3.42    (! [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) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f39,axiom,(
% 24.03/3.42    (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f40,axiom,(
% 24.03/3.42    (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f43,axiom,(
% 24.03/3.42    (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f67,axiom,(
% 24.03/3.42    (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f87,axiom,(
% 24.03/3.42    (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f95,conjecture,(
% 24.03/3.42    (! [Q4,Q1,Q3,Q0,Q2,P0,P1,P2,P3,P4,O0,O4,O3,O2,O1,M0,M4,M3,M2,M1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :( ( coll(P0,Q4,Q1)& coll(P0,Q0,Q2)& coll(P1,Q1,Q3)& coll(P1,Q0,Q2)& coll(P2,Q1,Q3)& coll(P2,Q4,Q2)& coll(P3,Q3,Q0)& coll(P3,Q4,Q2)& coll(P4,Q4,Q1)& coll(P4,Q3,Q0)& circle(O0,Q0,P0,P4)& circle(O4,P4,P3,Q4)& circle(O3,P3,P2,Q3)& circle(O2,P1,P2,Q2)& circle(O1,P1,Q1,P0)& circle(O0,Q0,M0,NWPNT1)& circle(O1,Q1,M0,NWPNT2)& circle(O0,Q0,M4,NWPNT3)& circle(O4,Q4,M4,NWPNT4)& circle(O4,Q4,M3,NWPNT5)& circle(O3,Q3,M3,NWPNT6)& circle(O3,Q3,M2,NWPNT7)& circle(O2,Q2,M2,NWPNT8)& circle(O2,Q2,M1,NWPNT9)& circle(O1,Q1,M1,NWPNT01) )=> cyclic(M4,M3,M2,M1) ) )),
% 24.03/3.42    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 24.03/3.42  fof(f96,negated_conjecture,(
% 24.03/3.42    ~((! [Q4,Q1,Q3,Q0,Q2,P0,P1,P2,P3,P4,O0,O4,O3,O2,O1,M0,M4,M3,M2,M1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :( ( coll(P0,Q4,Q1)& coll(P0,Q0,Q2)& coll(P1,Q1,Q3)& coll(P1,Q0,Q2)& coll(P2,Q1,Q3)& coll(P2,Q4,Q2)& coll(P3,Q3,Q0)& coll(P3,Q4,Q2)& coll(P4,Q4,Q1)& coll(P4,Q3,Q0)& circle(O0,Q0,P0,P4)& circle(O4,P4,P3,Q4)& circle(O3,P3,P2,Q3)& circle(O2,P1,P2,Q2)& circle(O1,P1,Q1,P0)& circle(O0,Q0,M0,NWPNT1)& circle(O1,Q1,M0,NWPNT2)& circle(O0,Q0,M4,NWPNT3)& circle(O4,Q4,M4,NWPNT4)& circle(O4,Q4,M3,NWPNT5)& circle(O3,Q3,M3,NWPNT6)& circle(O3,Q3,M2,NWPNT7)& circle(O2,Q2,M2,NWPNT8)& circle(O2,Q2,M1,NWPNT9)& circle(O1,Q1,M1,NWPNT01) )=> cyclic(M4,M3,M2,M1) ) ))),
% 24.03/3.42    inference(negated_conjecture,[status(cth)],[f95])).
% 24.03/3.42  fof(f97,plain,(
% 24.03/3.42    ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f1])).
% 24.03/3.42  fof(f98,plain,(
% 24.03/3.42    ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f97])).
% 24.03/3.42  fof(f99,plain,(
% 24.03/3.42    ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f2])).
% 24.03/3.42  fof(f100,plain,(
% 24.03/3.42    ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f99])).
% 24.03/3.42  fof(f101,plain,(
% 24.03/3.42    ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f3])).
% 24.03/3.42  fof(f102,plain,(
% 24.03/3.42    ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 24.03/3.42    inference(miniscoping,[status(esa)],[f101])).
% 24.03/3.42  fof(f103,plain,(
% 24.03/3.42    ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f102])).
% 24.03/3.42  fof(f113,plain,(
% 24.03/3.42    ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f8])).
% 24.03/3.42  fof(f114,plain,(
% 24.03/3.42    ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f113])).
% 24.03/3.42  fof(f115,plain,(
% 24.03/3.42    ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f9])).
% 24.03/3.42  fof(f116,plain,(
% 24.03/3.42    ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 24.03/3.42    inference(miniscoping,[status(esa)],[f115])).
% 24.03/3.42  fof(f117,plain,(
% 24.03/3.42    ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f116])).
% 24.03/3.42  fof(f134,plain,(
% 24.03/3.42    ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f17])).
% 24.03/3.42  fof(f135,plain,(
% 24.03/3.42    ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 24.03/3.42    inference(miniscoping,[status(esa)],[f134])).
% 24.03/3.42  fof(f136,plain,(
% 24.03/3.42    ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f135])).
% 24.03/3.42  fof(f139,plain,(
% 24.03/3.42    ![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))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f19])).
% 24.03/3.42  fof(f140,plain,(
% 24.03/3.42    ![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))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f139])).
% 24.03/3.42  fof(f143,plain,(
% 24.03/3.42    ![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))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f21])).
% 24.03/3.42  fof(f144,plain,(
% 24.03/3.42    ![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))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f143])).
% 24.03/3.42  fof(f184,plain,(
% 24.03/3.42    ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f39])).
% 24.03/3.42  fof(f185,plain,(
% 24.03/3.42    ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 24.03/3.42    inference(miniscoping,[status(esa)],[f184])).
% 24.03/3.42  fof(f186,plain,(
% 24.03/3.42    ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f185])).
% 24.03/3.42  fof(f187,plain,(
% 24.03/3.42    ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f40])).
% 24.03/3.42  fof(f188,plain,(
% 24.03/3.42    ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 24.03/3.42    inference(miniscoping,[status(esa)],[f187])).
% 24.03/3.42  fof(f189,plain,(
% 24.03/3.42    ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f188])).
% 24.03/3.42  fof(f194,plain,(
% 24.03/3.42    ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f43])).
% 24.03/3.42  fof(f195,plain,(
% 24.03/3.42    ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f194])).
% 24.03/3.42  fof(f255,plain,(
% 24.03/3.42    ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f67])).
% 24.03/3.42  fof(f256,plain,(
% 24.03/3.42    ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f255])).
% 24.03/3.42  fof(f331,plain,(
% 24.03/3.42    ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f87])).
% 24.03/3.42  fof(f332,plain,(
% 24.03/3.42    ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 24.03/3.42    inference(miniscoping,[status(esa)],[f331])).
% 24.03/3.42  fof(f333,plain,(
% 24.03/3.42    ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sk0_11(O,A),A,A,O))),
% 24.03/3.42    inference(skolemization,[status(esa)],[f332])).
% 24.03/3.42  fof(f334,plain,(
% 24.03/3.42    ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sk0_11(X0,X1),X1,X1,X0))),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f333])).
% 24.03/3.42  fof(f369,plain,(
% 24.03/3.42    (?[Q4,Q1,Q3,Q0,Q2,P0,P1,P2,P3,P4,O0,O4,O3,O2,O1,M0,M4,M3,M2,M1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01]: (((((((((((((((((((((((((coll(P0,Q4,Q1)&coll(P0,Q0,Q2))&coll(P1,Q1,Q3))&coll(P1,Q0,Q2))&coll(P2,Q1,Q3))&coll(P2,Q4,Q2))&coll(P3,Q3,Q0))&coll(P3,Q4,Q2))&coll(P4,Q4,Q1))&coll(P4,Q3,Q0))&circle(O0,Q0,P0,P4))&circle(O4,P4,P3,Q4))&circle(O3,P3,P2,Q3))&circle(O2,P1,P2,Q2))&circle(O1,P1,Q1,P0))&circle(O0,Q0,M0,NWPNT1))&circle(O1,Q1,M0,NWPNT2))&circle(O0,Q0,M4,NWPNT3))&circle(O4,Q4,M4,NWPNT4))&circle(O4,Q4,M3,NWPNT5))&circle(O3,Q3,M3,NWPNT6))&circle(O3,Q3,M2,NWPNT7))&circle(O2,Q2,M2,NWPNT8))&circle(O2,Q2,M1,NWPNT9))&circle(O1,Q1,M1,NWPNT01))&~cyclic(M4,M3,M2,M1)))),
% 24.03/3.42    inference(pre_NNF_transformation,[status(esa)],[f96])).
% 24.03/3.42  fof(f370,plain,(
% 24.03/3.42    ?[M4,M3,M2,M1]: ((?[Q1,O1]: ((?[Q2,O2]: (((?[Q3,O3]: (((?[Q4,O4]: (((?[Q0,O0]: ((?[M0]: (((?[P0,P1]: ((?[P2]: ((?[P3]: ((?[P4]: (((((((((((coll(P0,Q4,Q1)&coll(P0,Q0,Q2))&coll(P1,Q1,Q3))&coll(P1,Q0,Q2))&coll(P2,Q1,Q3))&coll(P2,Q4,Q2))&coll(P3,Q3,Q0))&coll(P3,Q4,Q2))&coll(P4,Q4,Q1))&coll(P4,Q3,Q0))&circle(O0,Q0,P0,P4))&circle(O4,P4,P3,Q4)))&circle(O3,P3,P2,Q3)))&circle(O2,P1,P2,Q2)))&circle(O1,P1,Q1,P0)))&(?[NWPNT1]: circle(O0,Q0,M0,NWPNT1)))&(?[NWPNT2]: circle(O1,Q1,M0,NWPNT2))))&(?[NWPNT3]: circle(O0,Q0,M4,NWPNT3))))&(?[NWPNT4]: circle(O4,Q4,M4,NWPNT4)))&(?[NWPNT5]: circle(O4,Q4,M3,NWPNT5))))&(?[NWPNT6]: circle(O3,Q3,M3,NWPNT6)))&(?[NWPNT7]: circle(O3,Q3,M2,NWPNT7))))&(?[NWPNT8]: circle(O2,Q2,M2,NWPNT8)))&(?[NWPNT9]: circle(O2,Q2,M1,NWPNT9))))&(?[NWPNT01]: circle(O1,Q1,M1,NWPNT01))))&~cyclic(M4,M3,M2,M1))),
% 24.03/3.42    inference(miniscoping,[status(esa)],[f369])).
% 24.03/3.42  fof(f371,plain,(
% 24.03/3.42    (((((((((((((((((((((((((coll(sk0_35,sk0_30,sk0_24)&coll(sk0_35,sk0_32,sk0_26))&coll(sk0_36,sk0_24,sk0_28))&coll(sk0_36,sk0_32,sk0_26))&coll(sk0_37,sk0_24,sk0_28))&coll(sk0_37,sk0_30,sk0_26))&coll(sk0_38,sk0_28,sk0_32))&coll(sk0_38,sk0_30,sk0_26))&coll(sk0_39,sk0_30,sk0_24))&coll(sk0_39,sk0_28,sk0_32))&circle(sk0_33,sk0_32,sk0_35,sk0_39))&circle(sk0_31,sk0_39,sk0_38,sk0_30))&circle(sk0_29,sk0_38,sk0_37,sk0_28))&circle(sk0_27,sk0_36,sk0_37,sk0_26))&circle(sk0_25,sk0_36,sk0_24,sk0_35))&circle(sk0_33,sk0_32,sk0_34,sk0_40))&circle(sk0_25,sk0_24,sk0_34,sk0_41))&circle(sk0_33,sk0_32,sk0_20,sk0_42))&circle(sk0_31,sk0_30,sk0_20,sk0_43))&circle(sk0_31,sk0_30,sk0_21,sk0_44))&circle(sk0_29,sk0_28,sk0_21,sk0_45))&circle(sk0_29,sk0_28,sk0_22,sk0_46))&circle(sk0_27,sk0_26,sk0_22,sk0_47))&circle(sk0_27,sk0_26,sk0_23,sk0_48))&circle(sk0_25,sk0_24,sk0_23,sk0_49))&~cyclic(sk0_20,sk0_21,sk0_22,sk0_23))),
% 24.03/3.42    inference(skolemization,[status(esa)],[f370])).
% 24.03/3.42  fof(f396,plain,(
% 24.03/3.42    circle(sk0_25,sk0_24,sk0_23,sk0_49)),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f371])).
% 24.03/3.42  fof(f397,plain,(
% 24.03/3.42    ~cyclic(sk0_20,sk0_21,sk0_22,sk0_23)),
% 24.03/3.42    inference(cnf_transformation,[status(esa)],[f371])).
% 24.03/3.42  fof(f2216,plain,(
% 24.03/3.42    ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X2,X3,X4,X5,X4,X5))),
% 24.03/3.42    inference(resolution,[status(thm)],[f189,f144])).
% 24.03/3.42  fof(f2220,plain,(
% 24.03/3.42    ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X4,X5,X0,X1,X4,X5,X2,X3))),
% 24.03/3.42    inference(resolution,[status(thm)],[f189,f140])).
% 24.03/3.42  fof(f7714,plain,(
% 24.03/3.42    ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|~perp(X4,X5,sk0_11(X0,X1),X1)|para(X4,X5,X1,X0))),
% 24.03/3.42    inference(resolution,[status(thm)],[f334,f117])).
% 24.03/3.42  fof(f7715,plain,(
% 24.03/3.42    ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(X1,X0,sk0_11(X0,X1),X1))),
% 24.03/3.42    inference(resolution,[status(thm)],[f334,f114])).
% 24.03/3.42  fof(f12162,plain,(
% 24.03/3.42    spl0_957 <=> ~para(X4,X5,X4,X5)),
% 24.03/3.42    introduced(split_symbol_definition)).
% 24.03/3.42  fof(f12163,plain,(
% 24.03/3.42    ![X0,X1]: (~para(X0,X1,X0,X1)|~spl0_957)),
% 24.03/3.42    inference(component_clause,[status(thm)],[f12162])).
% 24.03/3.42  fof(f12710,plain,(
% 24.03/3.42    spl0_980 <=> para(X2,X3,X2,X3)),
% 24.03/3.42    introduced(split_symbol_definition)).
% 24.03/3.42  fof(f12711,plain,(
% 24.03/3.42    ![X0,X1]: (para(X0,X1,X0,X1)|~spl0_980)),
% 24.03/3.42    inference(component_clause,[status(thm)],[f12710])).
% 24.03/3.42  fof(f12713,plain,(
% 24.03/3.42    ![X0,X1,X2,X3]: (~para(X0,X1,X0,X1)|para(X2,X3,X2,X3))),
% 24.03/3.42    inference(resolution,[status(thm)],[f2220,f186])).
% 24.03/3.42  fof(f12714,plain,(
% 24.03/3.42    spl0_957|spl0_980),
% 24.03/3.42    inference(split_clause,[status(thm)],[f12713,f12162,f12710])).
% 24.03/3.42  fof(f12803,plain,(
% 24.03/3.45    ![X0,X1]: (coll(X0,X1,X1)|~spl0_980)),
% 24.03/3.45    inference(resolution,[status(thm)],[f12711,f256])).
% 24.03/3.45  fof(f13004,plain,(
% 24.03/3.45    ![X0,X1]: (coll(X0,X1,X0)|~spl0_980)),
% 24.03/3.45    inference(resolution,[status(thm)],[f12803,f100])).
% 24.03/3.45  fof(f13238,plain,(
% 24.03/3.45    ![X0,X1]: (coll(X0,X0,X1)|~spl0_980)),
% 24.03/3.45    inference(resolution,[status(thm)],[f13004,f98])).
% 24.03/3.45  fof(f13682,plain,(
% 24.03/3.45    ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0)|~spl0_980)),
% 24.03/3.45    inference(resolution,[status(thm)],[f13238,f103])).
% 24.03/3.45  fof(f13683,plain,(
% 24.03/3.45    ![X0,X1,X2]: (coll(X0,X1,X2)|~spl0_980)),
% 24.03/3.45    inference(forward_subsumption_resolution,[status(thm)],[f13682,f13238])).
% 24.03/3.45  fof(f13691,plain,(
% 24.03/3.45    ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|cyclic(X1,X2,X0,X3)|~spl0_980)),
% 24.03/3.45    inference(backward_subsumption_resolution,[status(thm)],[f195,f13683])).
% 24.03/3.45  fof(f13904,plain,(
% 24.03/3.45    ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~para(X1,X0,X1,X0)|~spl0_980)),
% 24.03/3.45    inference(resolution,[status(thm)],[f13691,f2216])).
% 24.03/3.45  fof(f13905,plain,(
% 24.03/3.45    ![X0,X1,X2]: (cyclic(X0,X0,X1,X2)|~spl0_980)),
% 24.03/3.45    inference(forward_subsumption_resolution,[status(thm)],[f13904,f12711])).
% 24.03/3.45  fof(f13947,plain,(
% 24.03/3.45    ![X0,X1,X2,X3]: (~cyclic(X0,X0,X1,X2)|cyclic(X0,X1,X2,X3)|~spl0_980)),
% 24.03/3.45    inference(resolution,[status(thm)],[f13905,f136])).
% 24.03/3.45  fof(f13948,plain,(
% 24.03/3.45    ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_980)),
% 24.03/3.45    inference(forward_subsumption_resolution,[status(thm)],[f13947,f13905])).
% 24.03/3.45  fof(f13987,plain,(
% 24.03/3.45    $false|~spl0_980),
% 24.03/3.45    inference(backward_subsumption_resolution,[status(thm)],[f397,f13948])).
% 24.03/3.45  fof(f13988,plain,(
% 24.03/3.45    ~spl0_980),
% 24.03/3.45    inference(contradiction_clause,[status(thm)],[f13987])).
% 24.03/3.45  fof(f23879,plain,(
% 24.03/3.45    ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|~circle(X0,X1,X4,X5)|para(X1,X0,X1,X0))),
% 24.03/3.45    inference(resolution,[status(thm)],[f7715,f7714])).
% 24.03/3.45  fof(f23880,plain,(
% 24.03/3.45    ![X0,X1,X2,X3,X4,X5]: (~circle(X0,X1,X2,X3)|~circle(X0,X1,X4,X5)|~spl0_957)),
% 24.03/3.45    inference(forward_subsumption_resolution,[status(thm)],[f23879,f12163])).
% 24.03/3.45  fof(f24080,plain,(
% 24.03/3.45    ![X0,X1]: (~circle(sk0_25,sk0_24,X0,X1)|~spl0_957)),
% 24.03/3.45    inference(resolution,[status(thm)],[f23880,f396])).
% 24.03/3.45  fof(f24115,plain,(
% 24.03/3.45    $false|~spl0_957),
% 24.03/3.45    inference(backward_subsumption_resolution,[status(thm)],[f396,f24080])).
% 24.03/3.45  fof(f24116,plain,(
% 24.03/3.45    ~spl0_957),
% 24.03/3.45    inference(contradiction_clause,[status(thm)],[f24115])).
% 24.03/3.45  fof(f24117,plain,(
% 24.03/3.45    $false),
% 24.03/3.45    inference(sat_refutation,[status(thm)],[f12714,f13988,f24116])).
% 24.03/3.45  % SZS output end CNFRefutation for theBenchmark.p
% 24.03/3.46  % Elapsed time: 3.109002 seconds
% 24.03/3.46  % CPU time: 24.517020 seconds
% 24.03/3.46  % Memory used: 171.695 MB
%------------------------------------------------------------------------------