%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO567+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 : n010.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 0.12s 5.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO567+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n010.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sun Sep 20 17:36:16 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.12/5.43 % Refutation found
% 0.12/5.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/5.43 % SZS output start CNFRefutation for theBenchmark
% 0.12/5.43 fof(f8,axiom,(
% 0.12/5.43 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.12/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.43 fof(f9,axiom,(
% 0.12/5.43 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.12/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.43 fof(f17,axiom,(
% 0.12/5.43 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.12/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.43 fof(f21,axiom,(
% 0.12/5.43 (! [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) ) )),
% 0.12/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.43 fof(f40,axiom,(
% 0.12/5.43 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.12/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.43 fof(f42,axiom,(
% 0.12/5.43 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 0.12/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.43 fof(f43,axiom,(
% 0.12/5.43 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.12/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.43 fof(f95,conjecture,(
% 0.12/5.43 (! [A,B,C,D,Q,P] :( ( perp(D,A,B,C)& coll(D,B,C)& perp(Q,D,A,B)& coll(Q,A,B)& perp(P,D,A,C)& coll(P,A,C) )=> cyclic(B,Q,P,C) ) )),
% 0.12/5.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/5.43 fof(f96,negated_conjecture,(
% 0.12/5.43 ~((! [A,B,C,D,Q,P] :( ( perp(D,A,B,C)& coll(D,B,C)& perp(Q,D,A,B)& coll(Q,A,B)& perp(P,D,A,C)& coll(P,A,C) )=> cyclic(B,Q,P,C) ) ))),
% 0.12/5.43 inference(negated_conjecture,[status(cth)],[f95])).
% 0.12/5.43 fof(f113,plain,(
% 0.12/5.43 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.12/5.43 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/5.43 fof(f114,plain,(
% 0.12/5.43 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.12/5.43 inference(cnf_transformation,[status(thm)],[f113])).
% 0.12/5.43 fof(f115,plain,(
% 0.12/5.43 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.12/5.43 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.12/5.43 fof(f116,plain,(
% 0.12/5.43 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.12/5.43 inference(miniscoping,[status(thm)],[f115])).
% 0.12/5.43 fof(f117,plain,(
% 0.12/5.43 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.12/5.43 inference(cnf_transformation,[status(thm)],[f116])).
% 0.12/5.43 fof(f134,plain,(
% 0.12/5.43 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.12/5.43 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.12/5.43 fof(f135,plain,(
% 0.12/5.43 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.12/5.43 inference(miniscoping,[status(thm)],[f134])).
% 0.12/5.43 fof(f136,plain,(
% 0.12/5.43 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.12/5.43 inference(cnf_transformation,[status(thm)],[f135])).
% 0.12/5.43 fof(f143,plain,(
% 0.12/5.43 ![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))),
% 0.12/5.43 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.12/5.43 fof(f144,plain,(
% 0.12/5.43 ![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))),
% 0.12/5.43 inference(cnf_transformation,[status(thm)],[f143])).
% 0.12/5.43 fof(f187,plain,(
% 0.12/5.43 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.12/5.43 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.12/5.43 fof(f188,plain,(
% 0.12/5.43 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.12/5.43 inference(miniscoping,[status(thm)],[f187])).
% 0.12/5.43 fof(f189,plain,(
% 0.12/5.43 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.12/5.43 inference(cnf_transformation,[status(thm)],[f188])).
% 0.12/5.43 fof(f192,plain,(
% 0.12/5.43 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 0.12/5.43 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.12/5.43 fof(f193,plain,(
% 0.12/5.43 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 0.12/5.43 inference(cnf_transformation,[status(thm)],[f192])).
% 0.12/5.43 fof(f194,plain,(
% 0.12/5.43 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.12/5.43 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.12/5.43 fof(f195,plain,(
% 0.12/5.43 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.12/5.43 inference(cnf_transformation,[status(thm)],[f194])).
% 0.12/5.44 fof(f369,plain,(
% 0.12/5.44 (?[A,B,C,D,Q,P]: ((((((perp(D,A,B,C)&coll(D,B,C))&perp(Q,D,A,B))&coll(Q,A,B))&perp(P,D,A,C))&coll(P,A,C))&~cyclic(B,Q,P,C)))),
% 0.12/5.44 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.12/5.44 fof(f370,plain,(
% 0.12/5.44 ?[B,C,Q,P]: ((?[A]: ((?[D]: ((((perp(D,A,B,C)&coll(D,B,C))&perp(Q,D,A,B))&coll(Q,A,B))&perp(P,D,A,C)))&coll(P,A,C)))&~cyclic(B,Q,P,C))),
% 0.12/5.44 inference(miniscoping,[status(thm)],[f369])).
% 0.12/5.44 fof(f371,plain,(
% 0.12/5.44 ((((((perp(sK25_skl,sK24_skl,sK20_skl,sK21_skl)&coll(sK25_skl,sK20_skl,sK21_skl))&perp(sK22_skl,sK25_skl,sK24_skl,sK20_skl))&coll(sK22_skl,sK24_skl,sK20_skl))&perp(sK23_skl,sK25_skl,sK24_skl,sK21_skl))&coll(sK23_skl,sK24_skl,sK21_skl))&~cyclic(sK20_skl,sK22_skl,sK23_skl,sK21_skl))),
% 0.12/5.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(Q,sK22_skl),skolemize(P,sK23_skl),skolemize(A,sK24_skl),skolemize(D,sK25_skl)],[f370])).
% 0.12/5.44 fof(f376,plain,(
% 0.12/5.44 perp(sK23_skl,sK25_skl,sK24_skl,sK21_skl)),
% 0.12/5.44 inference(cnf_transformation,[status(thm)],[f371])).
% 0.12/5.44 fof(f378,plain,(
% 0.12/5.44 ~cyclic(sK20_skl,sK22_skl,sK23_skl,sK21_skl)),
% 0.12/5.44 inference(cnf_transformation,[status(thm)],[f371])).
% 0.12/5.44 fof(f385,plain,(
% 0.12/5.44 ![X0,X1,X2,X3,X4,X5,X6,X7]: (eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|~perp(X0,X1,X6,X7)|~perp(X6,X7,X4,X5))),
% 0.12/5.44 inference(resolution,[status(thm)],[f189,f117])).
% 0.12/5.44 fof(f474,plain,(
% 0.12/5.44 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,sK24_skl,sK21_skl,X2,X3)|~perp(X0,X1,sK23_skl,sK25_skl))),
% 0.12/5.44 inference(resolution,[status(thm)],[f385,f376])).
% 0.12/5.44 fof(f493,plain,(
% 0.12/5.44 ![X0,X1,X2,X3]: (eqangle(X0,X1,X2,X3,sK24_skl,sK21_skl,X2,X3)|~perp(sK23_skl,sK25_skl,X0,X1))),
% 0.12/5.44 inference(resolution,[status(thm)],[f474,f114])).
% 0.12/5.44 fof(f515,plain,(
% 0.12/5.44 ![X0,X1]: (eqangle(sK24_skl,sK21_skl,X0,X1,sK24_skl,sK21_skl,X0,X1))),
% 0.12/5.44 inference(resolution,[status(thm)],[f493,f376])).
% 0.12/5.44 fof(f540,plain,(
% 0.12/5.44 ![X0,X1]: (eqangle(sK24_skl,sK21_skl,sK24_skl,sK21_skl,X0,X1,X0,X1))),
% 0.12/5.44 inference(resolution,[status(thm)],[f515,f144])).
% 0.12/5.44 fof(f575,plain,(
% 0.12/5.44 ![X0]: (~coll(sK24_skl,X0,sK21_skl)|cyclic(sK21_skl,sK21_skl,sK24_skl,X0))),
% 0.12/5.44 inference(resolution,[status(thm)],[f540,f195])).
% 0.12/5.44 fof(f576,plain,(
% 0.12/5.44 ![X0]: (coll(sK24_skl,X0,sK21_skl)|cyclic(sK21_skl,sK21_skl,sK24_skl,X0))),
% 0.12/5.44 inference(resolution,[status(thm)],[f540,f193])).
% 0.12/5.44 fof(f577,plain,(
% 0.12/5.44 ![X0]: (cyclic(sK21_skl,sK21_skl,sK24_skl,X0))),
% 0.12/5.44 inference(forward_subsumption_resolution,[status(thm)],[f576,f575])).
% 0.12/5.44 fof(f584,plain,(
% 0.12/5.44 ![X0,X1]: (~cyclic(sK21_skl,sK21_skl,sK24_skl,X0)|cyclic(sK21_skl,sK24_skl,X0,X1))),
% 0.12/5.44 inference(resolution,[status(thm)],[f577,f136])).
% 0.12/5.44 fof(f592,plain,(
% 0.12/5.44 ![X0,X1]: (cyclic(sK21_skl,sK24_skl,X0,X1))),
% 0.12/5.44 inference(forward_subsumption_resolution,[status(thm)],[f584,f577])).
% 0.12/5.44 fof(f599,plain,(
% 0.12/5.44 ![X0,X1,X2]: (~cyclic(sK21_skl,sK24_skl,X0,X1)|cyclic(sK24_skl,X0,X1,X2))),
% 0.12/5.44 inference(resolution,[status(thm)],[f592,f136])).
% 0.12/5.44 fof(f607,plain,(
% 0.12/5.44 ![X0,X1,X2]: (cyclic(sK24_skl,X0,X1,X2))),
% 0.12/5.44 inference(forward_subsumption_resolution,[status(thm)],[f599,f592])).
% 0.12/5.44 fof(f616,plain,(
% 0.12/5.44 ![X0,X1,X2,X3]: (~cyclic(sK24_skl,X0,X1,X2)|cyclic(X0,X1,X2,X3))),
% 0.12/5.44 inference(resolution,[status(thm)],[f607,f136])).
% 0.12/5.44 fof(f628,plain,(
% 0.12/5.44 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3))),
% 0.12/5.44 inference(forward_subsumption_resolution,[status(thm)],[f616,f607])).
% 0.12/5.44 fof(f629,plain,(
% 0.12/5.44 $false),
% 0.12/5.44 inference(backward_subsumption_resolution,[status(thm)],[f378,f628])).
% 0.12/5.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/5.45 % Elapsed time: 0.078228 seconds
% 0.12/5.45 % CPU time: 0.337265 seconds
% 0.12/5.45 % Total memory used: 87.110 MB
% 0.12/5.45 % Net memory used: 86.899 MB
%------------------------------------------------------------------------------