%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO603+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 12:26:42 PM UTC 2026
% Result : Theorem 0.08s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO603+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.37 % Computer : n008.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 20 17:47:09 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 0.08/0.47 % Refutation found
% 0.08/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.47 fof(f1,axiom,(
% 0.08/0.47 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.08/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.47 fof(f2,axiom,(
% 0.08/0.47 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.08/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.47 fof(f3,axiom,(
% 0.08/0.47 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.08/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.47 fof(f5,axiom,(
% 0.08/0.47 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.08/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.47 fof(f6,axiom,(
% 0.08/0.47 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.08/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.47 fof(f19,axiom,(
% 0.08/0.47 (! [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) ) )),
% 0.08/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.47 fof(f39,axiom,(
% 0.08/0.47 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.08/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.47 fof(f40,axiom,(
% 0.08/0.47 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.08/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.47 fof(f67,axiom,(
% 0.08/0.47 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.08/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.47 fof(f95,conjecture,(
% 0.08/0.47 (! [A,B,C,D,E,F,G] :( ( circle(D,A,B,C)& coll(E,A,B)& para(B,C,F,E)& coll(F,A,C)& circle(G,A,E,F) )=> coll(A,G,D) ) )),
% 0.08/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.47 fof(f96,negated_conjecture,(
% 0.08/0.47 ~((! [A,B,C,D,E,F,G] :( ( circle(D,A,B,C)& coll(E,A,B)& para(B,C,F,E)& coll(F,A,C)& circle(G,A,E,F) )=> coll(A,G,D) ) ))),
% 0.08/0.47 inference(negated_conjecture,[status(cth)],[f95])).
% 0.08/0.47 fof(f97,plain,(
% 0.08/0.47 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.08/0.47 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/0.47 fof(f98,plain,(
% 0.08/0.47 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f97])).
% 0.08/0.47 fof(f99,plain,(
% 0.08/0.47 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.08/0.47 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.08/0.47 fof(f100,plain,(
% 0.08/0.47 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f99])).
% 0.08/0.47 fof(f101,plain,(
% 0.08/0.47 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.08/0.47 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.08/0.47 fof(f102,plain,(
% 0.08/0.47 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.08/0.47 inference(miniscoping,[status(thm)],[f101])).
% 0.08/0.47 fof(f103,plain,(
% 0.08/0.47 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f102])).
% 0.08/0.47 fof(f106,plain,(
% 0.08/0.47 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.08/0.47 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.08/0.47 fof(f107,plain,(
% 0.08/0.47 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f106])).
% 0.08/0.47 fof(f108,plain,(
% 0.08/0.47 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 0.08/0.47 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.08/0.47 fof(f109,plain,(
% 0.08/0.47 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 0.08/0.47 inference(miniscoping,[status(thm)],[f108])).
% 0.08/0.47 fof(f110,plain,(
% 0.08/0.47 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f109])).
% 0.08/0.47 fof(f139,plain,(
% 0.08/0.47 ![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))),
% 0.08/0.47 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.08/0.47 fof(f140,plain,(
% 0.08/0.47 ![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))),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f139])).
% 0.08/0.47 fof(f184,plain,(
% 0.08/0.47 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.08/0.47 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.08/0.47 fof(f185,plain,(
% 0.08/0.47 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.08/0.47 inference(miniscoping,[status(thm)],[f184])).
% 0.08/0.47 fof(f186,plain,(
% 0.08/0.47 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f185])).
% 0.08/0.47 fof(f187,plain,(
% 0.08/0.47 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.08/0.47 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.08/0.47 fof(f188,plain,(
% 0.08/0.47 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.08/0.47 inference(miniscoping,[status(thm)],[f187])).
% 0.08/0.47 fof(f189,plain,(
% 0.08/0.47 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f188])).
% 0.08/0.47 fof(f255,plain,(
% 0.08/0.47 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.08/0.47 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.08/0.47 fof(f256,plain,(
% 0.08/0.47 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f255])).
% 0.08/0.47 fof(f369,plain,(
% 0.08/0.47 (?[A,B,C,D,E,F,G]: (((((circle(D,A,B,C)&coll(E,A,B))¶(B,C,F,E))&coll(F,A,C))&circle(G,A,E,F))&~coll(A,G,D)))),
% 0.08/0.47 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.08/0.47 fof(f370,plain,(
% 0.08/0.47 ?[A,D,G]: ((?[E,F]: ((?[C]: ((?[B]: ((circle(D,A,B,C)&coll(E,A,B))¶(B,C,F,E)))&coll(F,A,C)))&circle(G,A,E,F)))&~coll(A,G,D))),
% 0.08/0.47 inference(miniscoping,[status(thm)],[f369])).
% 0.08/0.47 fof(f371,plain,(
% 0.08/0.47 (((((circle(sK21_skl,sK20_skl,sK26_skl,sK25_skl)&coll(sK23_skl,sK20_skl,sK26_skl))¶(sK26_skl,sK25_skl,sK24_skl,sK23_skl))&coll(sK24_skl,sK20_skl,sK25_skl))&circle(sK22_skl,sK20_skl,sK23_skl,sK24_skl))&~coll(sK20_skl,sK22_skl,sK21_skl))),
% 0.08/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(A,sK20_skl),skolemize(D,sK21_skl),skolemize(G,sK22_skl),skolemize(E,sK23_skl),skolemize(F,sK24_skl),skolemize(C,sK25_skl),skolemize(B,sK26_skl)],[f370])).
% 0.08/0.47 fof(f374,plain,(
% 0.08/0.47 para(sK26_skl,sK25_skl,sK24_skl,sK23_skl)),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f371])).
% 0.08/0.47 fof(f377,plain,(
% 0.08/0.47 ~coll(sK20_skl,sK22_skl,sK21_skl)),
% 0.08/0.47 inference(cnf_transformation,[status(thm)],[f371])).
% 0.08/0.47 fof(f417,plain,(
% 0.08/0.47 para(sK24_skl,sK23_skl,sK26_skl,sK25_skl)),
% 0.08/0.47 inference(resolution,[status(thm)],[f107,f374])).
% 0.08/0.47 fof(f434,plain,(
% 0.08/0.47 ![X0,X1]: (~para(X0,X1,sK26_skl,sK25_skl)|para(X0,X1,sK24_skl,sK23_skl))),
% 0.08/0.47 inference(resolution,[status(thm)],[f110,f374])).
% 0.08/0.47 fof(f638,plain,(
% 0.08/0.47 para(sK24_skl,sK23_skl,sK24_skl,sK23_skl)),
% 0.08/0.47 inference(resolution,[status(thm)],[f434,f417])).
% 0.08/0.47 fof(f782,plain,(
% 0.08/0.47 ![X0,X1]: (eqangle(sK24_skl,sK23_skl,X0,X1,sK24_skl,sK23_skl,X0,X1))),
% 0.08/0.47 inference(resolution,[status(thm)],[f638,f189])).
% 0.08/0.47 fof(f1395,plain,(
% 0.08/0.47 ![X0,X1]: (eqangle(X0,X1,sK24_skl,sK23_skl,X0,X1,sK24_skl,sK23_skl))),
% 0.08/0.47 inference(resolution,[status(thm)],[f782,f140])).
% 0.08/0.47 fof(f1760,plain,(
% 0.08/0.47 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.08/0.47 inference(resolution,[status(thm)],[f1395,f186])).
% 0.08/0.47 fof(f1772,plain,(
% 0.08/0.47 ![X0,X1]: (coll(X0,X1,X1))),
% 0.08/0.47 inference(resolution,[status(thm)],[f1760,f256])).
% 0.08/0.47 fof(f1877,plain,(
% 0.08/0.47 ![X0,X1]: (coll(X0,X1,X0))),
% 0.08/0.47 inference(resolution,[status(thm)],[f1772,f100])).
% 0.08/0.47 fof(f1981,plain,(
% 0.08/0.47 ![X0,X1]: (coll(X0,X0,X1))),
% 0.08/0.47 inference(resolution,[status(thm)],[f1877,f98])).
% 0.08/0.47 fof(f2003,plain,(
% 0.08/0.47 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.08/0.47 inference(resolution,[status(thm)],[f1981,f103])).
% 0.08/0.47 fof(f2006,plain,(
% 0.08/0.47 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.08/0.47 inference(forward_subsumption_resolution,[status(thm)],[f2003,f1981])).
% 0.08/0.47 fof(f2015,plain,(
% 0.08/0.47 $false),
% 0.08/0.47 inference(backward_subsumption_resolution,[status(thm)],[f377,f2006])).
% 0.08/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.50 % Elapsed time: 0.109367 seconds
% 0.08/0.50 % CPU time: 0.533033 seconds
% 0.08/0.50 % Total memory used: 89.482 MB
% 0.08/0.50 % Net memory used: 88.999 MB
%------------------------------------------------------------------------------