%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO554+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 : n007.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 12:26:38 PM UTC 2026
% Result : Theorem 0.12s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO554+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
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 17:20:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.52 % Refutation found
% 0.12/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.52 fof(f1,axiom,(
% 0.12/0.52 (! [A,B,C] :( coll(A,B,C)=> coll(A,C,B) ) )),
% 0.12/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.52 fof(f2,axiom,(
% 0.12/0.52 (! [A,B,C] :( coll(A,B,C)=> coll(B,A,C) ) )),
% 0.12/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.52 fof(f3,axiom,(
% 0.12/0.52 (! [A,B,C,D] :( ( coll(A,B,C)& coll(A,B,D) )=> coll(C,D,A) ) )),
% 0.12/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.52 fof(f8,axiom,(
% 0.12/0.52 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.12/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.52 fof(f9,axiom,(
% 0.12/0.52 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.12/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.52 fof(f19,axiom,(
% 0.12/0.52 (! [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) ) )),
% 0.12/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.52 fof(f39,axiom,(
% 0.12/0.52 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 0.12/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.52 fof(f40,axiom,(
% 0.12/0.52 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.12/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.52 fof(f67,axiom,(
% 0.12/0.52 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 0.12/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.52 fof(f95,conjecture,(
% 0.12/0.52 (! [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) ) )),
% 0.12/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.52 fof(f96,negated_conjecture,(
% 0.12/0.52 ~((! [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) ) ))),
% 0.12/0.52 inference(negated_conjecture,[status(cth)],[f95])).
% 0.12/0.52 fof(f97,plain,(
% 0.12/0.52 ![A,B,C]: (~coll(A,B,C)|coll(A,C,B))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.52 fof(f98,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X0,X2,X1))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f97])).
% 0.12/0.52 fof(f99,plain,(
% 0.12/0.52 ![A,B,C]: (~coll(A,B,C)|coll(B,A,C))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.52 fof(f100,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~coll(X0,X1,X2)|coll(X1,X0,X2))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f99])).
% 0.12/0.52 fof(f101,plain,(
% 0.12/0.52 ![A,B,C,D]: ((~coll(A,B,C)|~coll(A,B,D))|coll(C,D,A))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.12/0.52 fof(f102,plain,(
% 0.12/0.52 ![A,C,D]: ((![B]: (~coll(A,B,C)|~coll(A,B,D)))|coll(C,D,A))),
% 0.12/0.52 inference(miniscoping,[status(thm)],[f101])).
% 0.12/0.52 fof(f103,plain,(
% 0.12/0.52 ![X0,X1,X2,X3]: (~coll(X0,X1,X2)|~coll(X0,X1,X3)|coll(X2,X3,X0))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f102])).
% 0.12/0.52 fof(f113,plain,(
% 0.12/0.52 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.52 fof(f114,plain,(
% 0.12/0.52 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f113])).
% 0.12/0.52 fof(f115,plain,(
% 0.12/0.52 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.12/0.52 fof(f116,plain,(
% 0.12/0.52 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.12/0.52 inference(miniscoping,[status(thm)],[f115])).
% 0.12/0.52 fof(f117,plain,(
% 0.12/0.52 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f116])).
% 0.12/0.52 fof(f139,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.12/0.52 fof(f140,plain,(
% 0.12/0.52 ![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))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f139])).
% 0.12/0.52 fof(f184,plain,(
% 0.12/0.52 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.12/0.52 fof(f185,plain,(
% 0.12/0.52 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 0.12/0.52 inference(miniscoping,[status(thm)],[f184])).
% 0.12/0.52 fof(f186,plain,(
% 0.12/0.52 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f185])).
% 0.12/0.52 fof(f187,plain,(
% 0.12/0.52 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.12/0.52 fof(f188,plain,(
% 0.12/0.52 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.12/0.52 inference(miniscoping,[status(thm)],[f187])).
% 0.12/0.52 fof(f189,plain,(
% 0.12/0.52 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f188])).
% 0.12/0.52 fof(f255,plain,(
% 0.12/0.52 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 0.12/0.52 fof(f256,plain,(
% 0.12/0.52 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f255])).
% 0.12/0.52 fof(f369,plain,(
% 0.12/0.52 (?[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)))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 0.12/0.52 fof(f370,plain,(
% 0.12/0.52 ?[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))),
% 0.12/0.52 inference(miniscoping,[status(thm)],[f369])).
% 0.12/0.52 fof(f371,plain,(
% 0.12/0.52 ((((((((((perp(sK24_skl,sK25_skl,sK24_skl,sK23_skl)&circle(sK25_skl,sK24_skl,sK27_skl,sK28_skl))&circle(sK23_skl,sK24_skl,sK29_skl,sK30_skl))&circle(sK25_skl,sK24_skl,sK20_skl,sK31_skl))&coll(sK24_skl,sK20_skl,sK26_skl))&circle(sK23_skl,sK24_skl,sK26_skl,sK32_skl))&coll(sK23_skl,sK26_skl,sK21_skl))&circle(sK23_skl,sK24_skl,sK21_skl,sK33_skl))&circle(sK25_skl,sK24_skl,sK22_skl,sK34_skl))&circle(sK23_skl,sK24_skl,sK22_skl,sK35_skl))&~coll(sK20_skl,sK21_skl,sK22_skl))),
% 0.12/0.52 inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl]),skolemize(D,sK20_skl),skolemize(F,sK21_skl),skolemize(G,sK22_skl),skolemize(B,sK23_skl),skolemize(C,sK24_skl),skolemize(A,sK25_skl),skolemize(E,sK26_skl),skolemize(NWPNT1,sK27_skl),skolemize(NWPNT2,sK28_skl),skolemize(NWPNT3,sK29_skl),skolemize(NWPNT4,sK30_skl),skolemize(NWPNT5,sK31_skl),skolemize(NWPNT6,sK32_skl),skolemize(NWPNT7,sK33_skl),skolemize(NWPNT8,sK34_skl),skolemize(NWPNT9,sK35_skl)],[f370])).
% 0.12/0.52 fof(f372,plain,(
% 0.12/0.52 perp(sK24_skl,sK25_skl,sK24_skl,sK23_skl)),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f371])).
% 0.12/0.52 fof(f382,plain,(
% 0.12/0.52 ~coll(sK20_skl,sK21_skl,sK22_skl)),
% 0.12/0.52 inference(cnf_transformation,[status(thm)],[f371])).
% 0.12/0.52 fof(f422,plain,(
% 0.12/0.52 perp(sK24_skl,sK23_skl,sK24_skl,sK25_skl)),
% 0.12/0.52 inference(resolution,[status(thm)],[f114,f372])).
% 0.12/0.52 fof(f491,plain,(
% 0.12/0.52 ![X0,X1]: (~perp(X0,X1,sK24_skl,sK25_skl)|para(X0,X1,sK24_skl,sK23_skl))),
% 0.12/0.52 inference(resolution,[status(thm)],[f117,f372])).
% 0.12/0.52 fof(f617,plain,(
% 0.12/0.52 para(sK24_skl,sK23_skl,sK24_skl,sK23_skl)),
% 0.12/0.52 inference(resolution,[status(thm)],[f491,f422])).
% 0.12/0.52 fof(f1450,plain,(
% 0.12/0.52 ![X0,X1]: (eqangle(sK24_skl,sK23_skl,X0,X1,sK24_skl,sK23_skl,X0,X1))),
% 0.12/0.52 inference(resolution,[status(thm)],[f189,f617])).
% 0.12/0.52 fof(f1504,plain,(
% 0.12/0.52 ![X0,X1]: (eqangle(X0,X1,sK24_skl,sK23_skl,X0,X1,sK24_skl,sK23_skl))),
% 0.12/0.52 inference(resolution,[status(thm)],[f1450,f140])).
% 0.12/0.52 fof(f2204,plain,(
% 0.12/0.52 ![X0,X1]: (para(X0,X1,X0,X1))),
% 0.12/0.52 inference(resolution,[status(thm)],[f1504,f186])).
% 0.12/0.52 fof(f2221,plain,(
% 0.12/0.52 ![X0,X1]: (coll(X0,X1,X1))),
% 0.12/0.52 inference(resolution,[status(thm)],[f2204,f256])).
% 0.12/0.52 fof(f2354,plain,(
% 0.12/0.53 ![X0,X1]: (coll(X0,X1,X0))),
% 0.12/0.53 inference(resolution,[status(thm)],[f2221,f100])).
% 0.12/0.53 fof(f2489,plain,(
% 0.12/0.53 ![X0,X1]: (coll(X0,X0,X1))),
% 0.12/0.53 inference(resolution,[status(thm)],[f2354,f98])).
% 0.12/0.53 fof(f2512,plain,(
% 0.12/0.53 ![X0,X1,X2]: (~coll(X0,X0,X1)|coll(X1,X2,X0))),
% 0.12/0.53 inference(resolution,[status(thm)],[f2489,f103])).
% 0.12/0.53 fof(f2515,plain,(
% 0.12/0.53 ![X0,X1,X2]: (coll(X0,X1,X2))),
% 0.12/0.53 inference(forward_subsumption_resolution,[status(thm)],[f2512,f2489])).
% 0.12/0.53 fof(f2528,plain,(
% 0.12/0.53 $false),
% 0.12/0.53 inference(backward_subsumption_resolution,[status(thm)],[f382,f2515])).
% 0.12/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.54 % Elapsed time: 0.179676 seconds
% 0.27/0.54 % CPU time: 1.138173 seconds
% 0.27/0.54 % Total memory used: 96.625 MB
% 0.27/0.54 % Net memory used: 95.429 MB
%------------------------------------------------------------------------------