%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO569+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 : n013.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 0.09s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO569+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 17:31:50 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.45 % Refutation found
% 0.09/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.45 fof(f5,axiom,(
% 0.09/0.45 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f6,axiom,(
% 0.09/0.45 (! [A,B,C,D,E,F] :( ( para(A,B,C,D)& para(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f14,axiom,(
% 0.09/0.45 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f15,axiom,(
% 0.09/0.45 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f16,axiom,(
% 0.09/0.45 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f17,axiom,(
% 0.09/0.45 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f19,axiom,(
% 0.09/0.45 (! [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) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f40,axiom,(
% 0.09/0.45 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f43,axiom,(
% 0.09/0.45 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f45,axiom,(
% 0.09/0.45 (! [A,B,C,E,F] :( ( midp(E,A,B)& midp(F,A,C) )=> para(E,F,B,C) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f67,axiom,(
% 0.09/0.45 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f95,conjecture,(
% 0.09/0.45 (! [A,B,C,O,C1,B1,P,Q] :( ( circle(O,A,B,C)& midp(C1,B,A)& midp(B1,C,A)& coll(P,O,C1)& coll(P,A,C)& coll(Q,O,B1)& coll(Q,A,B) )=> cyclic(Q,B,C,P) ) )),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f96,negated_conjecture,(
% 0.09/0.45 ~((! [A,B,C,O,C1,B1,P,Q] :( ( circle(O,A,B,C)& midp(C1,B,A)& midp(B1,C,A)& coll(P,O,C1)& coll(P,A,C)& coll(Q,O,B1)& coll(Q,A,B) )=> cyclic(Q,B,C,P) ) ))),
% 0.09/0.45 inference(negated_conjecture,[status(cth)],[f95])).
% 0.09/0.45 fof(f106,plain,(
% 0.09/0.45 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.45 fof(f107,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f106])).
% 0.09/0.45 fof(f108,plain,(
% 0.09/0.45 ![A,B,C,D,E,F]: ((~para(A,B,C,D)|~para(C,D,E,F))|para(A,B,E,F))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.45 fof(f109,plain,(
% 0.09/0.45 ![A,B,E,F]: ((![C,D]: (~para(A,B,C,D)|~para(C,D,E,F)))|para(A,B,E,F))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f108])).
% 0.09/0.45 fof(f110,plain,(
% 0.09/0.45 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|~para(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f109])).
% 0.09/0.45 fof(f128,plain,(
% 0.09/0.45 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.09/0.45 fof(f129,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f128])).
% 0.09/0.45 fof(f130,plain,(
% 0.09/0.45 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.09/0.45 fof(f131,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f130])).
% 0.09/0.45 fof(f132,plain,(
% 0.09/0.45 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.09/0.45 fof(f133,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f132])).
% 0.09/0.45 fof(f134,plain,(
% 0.09/0.45 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.09/0.45 fof(f135,plain,(
% 0.09/0.45 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f134])).
% 0.09/0.45 fof(f136,plain,(
% 0.09/0.45 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f135])).
% 0.09/0.45 fof(f139,plain,(
% 0.09/0.45 ![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))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.09/0.45 fof(f140,plain,(
% 0.09/0.45 ![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))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f139])).
% 0.09/0.45 fof(f187,plain,(
% 0.09/0.45 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.09/0.45 fof(f188,plain,(
% 0.09/0.45 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f187])).
% 0.09/0.45 fof(f189,plain,(
% 0.09/0.45 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f188])).
% 0.09/0.45 fof(f194,plain,(
% 0.09/0.45 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.09/0.45 fof(f195,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f194])).
% 0.09/0.45 fof(f199,plain,(
% 0.09/0.45 ![A,B,C,E,F]: ((~midp(E,A,B)|~midp(F,A,C))|para(E,F,B,C))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.09/0.45 fof(f200,plain,(
% 0.09/0.45 ![B,C,E,F]: ((![A]: (~midp(E,A,B)|~midp(F,A,C)))|para(E,F,B,C))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f199])).
% 0.09/0.45 fof(f201,plain,(
% 0.09/0.45 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~midp(X3,X1,X4)|para(X0,X3,X2,X4))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f200])).
% 0.09/0.45 fof(f255,plain,(
% 0.09/0.45 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.09/0.45 fof(f256,plain,(
% 0.09/0.45 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f255])).
% 0.09/0.45 fof(f369,plain,(
% 0.09/0.45 (?[A,B,C,O,C1,B1,P,Q]: (((((((circle(O,A,B,C)&midp(C1,B,A))&midp(B1,C,A))&coll(P,O,C1))&coll(P,A,C))&coll(Q,O,B1))&coll(Q,A,B))&~cyclic(Q,B,C,P)))),
% 0.09/0.45 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.09/0.45 fof(f370,plain,(
% 0.09/0.45 ?[B,C,P,Q]: ((?[A]: ((?[O,B1]: (((?[C1]: (((circle(O,A,B,C)&midp(C1,B,A))&midp(B1,C,A))&coll(P,O,C1)))&coll(P,A,C))&coll(Q,O,B1)))&coll(Q,A,B)))&~cyclic(Q,B,C,P))),
% 0.09/0.45 inference(miniscoping,[status(thm)],[f369])).
% 0.09/0.45 fof(f371,plain,(
% 0.09/0.45 (((((((circle(sK25_skl,sK24_skl,sK20_skl,sK21_skl)&midp(sK27_skl,sK20_skl,sK24_skl))&midp(sK26_skl,sK21_skl,sK24_skl))&coll(sK22_skl,sK25_skl,sK27_skl))&coll(sK22_skl,sK24_skl,sK21_skl))&coll(sK23_skl,sK25_skl,sK26_skl))&coll(sK23_skl,sK24_skl,sK20_skl))&~cyclic(sK23_skl,sK20_skl,sK21_skl,sK22_skl))),
% 0.09/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(P,sK22_skl),skolemize(Q,sK23_skl),skolemize(A,sK24_skl),skolemize(O,sK25_skl),skolemize(B1,sK26_skl),skolemize(C1,sK27_skl)],[f370])).
% 0.09/0.45 fof(f374,plain,(
% 0.09/0.45 midp(sK26_skl,sK21_skl,sK24_skl)),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f371])).
% 0.09/0.45 fof(f379,plain,(
% 0.09/0.45 ~cyclic(sK23_skl,sK20_skl,sK21_skl,sK22_skl)),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f371])).
% 0.09/0.45 fof(f421,plain,(
% 0.09/0.45 ![X0,X1]: (~midp(X0,sK21_skl,X1)|para(X0,sK26_skl,X1,sK24_skl))),
% 0.09/0.45 inference(resolution,[status(thm)],[f201,f374])).
% 0.09/0.45 fof(f424,plain,(
% 0.09/0.45 para(sK26_skl,sK26_skl,sK24_skl,sK24_skl)),
% 0.09/0.45 inference(resolution,[status(thm)],[f421,f374])).
% 0.09/0.45 fof(f428,plain,(
% 0.09/0.45 ![X0,X1]: (~para(X0,X1,sK26_skl,sK26_skl)|para(X0,X1,sK24_skl,sK24_skl))),
% 0.09/0.45 inference(resolution,[status(thm)],[f424,f110])).
% 0.09/0.45 fof(f429,plain,(
% 0.09/0.45 para(sK24_skl,sK24_skl,sK26_skl,sK26_skl)),
% 0.09/0.45 inference(resolution,[status(thm)],[f424,f107])).
% 0.09/0.45 fof(f536,plain,(
% 0.09/0.45 para(sK24_skl,sK24_skl,sK24_skl,sK24_skl)),
% 0.09/0.45 inference(resolution,[status(thm)],[f428,f429])).
% 0.09/0.45 fof(f537,plain,(
% 0.09/0.45 ![X0,X1]: (eqangle(sK24_skl,sK24_skl,X0,X1,sK24_skl,sK24_skl,X0,X1))),
% 0.09/0.45 inference(resolution,[status(thm)],[f536,f189])).
% 0.09/0.45 fof(f542,plain,(
% 0.09/0.45 coll(sK24_skl,sK24_skl,sK24_skl)),
% 0.09/0.45 inference(resolution,[status(thm)],[f536,f256])).
% 0.09/0.45 fof(f548,plain,(
% 0.09/0.45 ![X0,X1]: (eqangle(X0,X1,sK24_skl,sK24_skl,X0,X1,sK24_skl,sK24_skl))),
% 0.09/0.45 inference(resolution,[status(thm)],[f537,f140])).
% 0.09/0.45 fof(f552,plain,(
% 0.09/0.45 ![X0]: (~coll(sK24_skl,sK24_skl,sK24_skl)|cyclic(X0,sK24_skl,sK24_skl,sK24_skl))),
% 0.09/0.45 inference(resolution,[status(thm)],[f548,f195])).
% 0.09/0.45 fof(f558,plain,(
% 0.09/0.45 ![X0]: (cyclic(X0,sK24_skl,sK24_skl,sK24_skl))),
% 0.09/0.45 inference(forward_subsumption_resolution,[status(thm)],[f552,f542])).
% 0.09/0.45 fof(f580,plain,(
% 0.09/0.45 ![X0]: (cyclic(sK24_skl,X0,sK24_skl,sK24_skl))),
% 0.09/0.45 inference(resolution,[status(thm)],[f558,f133])).
% 0.09/0.45 fof(f590,plain,(
% 0.09/0.45 ![X0]: (cyclic(sK24_skl,sK24_skl,X0,sK24_skl))),
% 0.09/0.45 inference(resolution,[status(thm)],[f580,f131])).
% 0.09/0.45 fof(f600,plain,(
% 0.09/0.45 ![X0]: (cyclic(sK24_skl,sK24_skl,sK24_skl,X0))),
% 0.09/0.45 inference(resolution,[status(thm)],[f590,f129])).
% 0.09/0.45 fof(f609,plain,(
% 0.09/0.45 ![X0,X1]: (~cyclic(sK24_skl,sK24_skl,sK24_skl,X0)|cyclic(sK24_skl,sK24_skl,X0,X1))),
% 0.09/0.45 inference(resolution,[status(thm)],[f600,f136])).
% 0.09/0.45 fof(f623,plain,(
% 0.09/0.45 ![X0,X1]: (cyclic(sK24_skl,sK24_skl,X0,X1))),
% 0.09/0.45 inference(forward_subsumption_resolution,[status(thm)],[f609,f600])).
% 0.09/0.45 fof(f630,plain,(
% 0.09/0.45 ![X0,X1,X2]: (~cyclic(sK24_skl,sK24_skl,X0,X1)|cyclic(sK24_skl,X0,X1,X2))),
% 0.09/0.45 inference(resolution,[status(thm)],[f623,f136])).
% 0.09/0.45 fof(f644,plain,(
% 0.09/0.45 ![X0,X1,X2]: (cyclic(sK24_skl,X0,X1,X2))),
% 0.09/0.45 inference(forward_subsumption_resolution,[status(thm)],[f630,f623])).
% 0.09/0.45 fof(f651,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (~cyclic(sK24_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.09/0.45 inference(resolution,[status(thm)],[f644,f136])).
% 0.09/0.45 fof(f661,plain,(
% 0.09/0.45 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.09/0.45 inference(forward_subsumption_resolution,[status(thm)],[f651,f644])).
% 0.09/0.45 fof(f662,plain,(
% 0.09/0.45 $false),
% 0.09/0.45 inference(backward_subsumption_resolution,[status(thm)],[f379,f661])).
% 0.09/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.093334 seconds
% 0.09/0.46 % CPU time: 0.509362 seconds
% 0.09/0.46 % Total memory used: 89.447 MB
% 0.09/0.46 % Net memory used: 89.189 MB
%------------------------------------------------------------------------------