%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO659+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 12:26:47 PM UTC 2026
% Result : Theorem 12.53s 12.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO659+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
% 0.10/10.38 % Computer : n008.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Sun Sep 20 18:16:19 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.39 % Drodi V4.1.1
% 12.53/12.08 % Refutation found
% 12.53/12.08 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.53/12.08 % SZS output start CNFRefutation for theBenchmark
% 12.53/12.08 fof(f4,axiom,(
% 12.53/12.08 (! [A,B,C,D] :( para(A,B,C,D)=> para(A,B,D,C) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f5,axiom,(
% 12.53/12.08 (! [A,B,C,D] :( para(A,B,C,D)=> para(C,D,A,B) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f8,axiom,(
% 12.53/12.08 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f9,axiom,(
% 12.53/12.08 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f19,axiom,(
% 12.53/12.08 (! [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) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f24,axiom,(
% 12.53/12.08 (! [A,B,C,D] :( cong(A,B,C,D)=> cong(C,D,A,B) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f25,axiom,(
% 12.53/12.08 (! [A,B,C,D,E,F] :( ( cong(A,B,C,D)& cong(C,D,E,F) )=> cong(A,B,E,F) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f39,axiom,(
% 12.53/12.08 (! [A,B,C,D,P,Q] :( eqangle(A,B,P,Q,C,D,P,Q)=> para(A,B,C,D) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f40,axiom,(
% 12.53/12.08 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f57,axiom,(
% 12.53/12.08 (! [A,B,P,Q] :( ( cong(A,P,B,P)& cong(A,Q,B,Q) )=> perp(A,B,P,Q) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f65,axiom,(
% 12.53/12.08 (! [A,B,C,D,M] :( ( midp(M,A,B)& para(A,C,B,D)& para(A,D,B,C) )=> midp(M,C,D) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f67,axiom,(
% 12.53/12.08 (! [A,B,C] :( para(A,B,A,C)=> coll(A,B,C) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f68,axiom,(
% 12.53/12.08 (! [A,B,C] :( ( cong(A,B,A,C)& coll(A,B,C) )=> midp(A,B,C) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f69,axiom,(
% 12.53/12.08 (! [A,B,C] :( midp(A,B,C)=> cong(A,B,A,C) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f87,axiom,(
% 12.53/12.08 (! [A,B,C,O] :(? [P] :( circle(O,A,B,C)=> perp(P,A,A,O) ) ))),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f95,conjecture,(
% 12.53/12.08 (! [A,B,C,D,E,F,G,H,MIDPNT1,MIDPNT2,MIDPNT3,NWPNT4,NWPNT5] :( ( perp(D,A,B,C)& coll(D,B,C)& perp(E,B,A,C)& coll(E,A,C)& midp(MIDPNT1,A,C)& perp(A,C,MIDPNT1,F)& midp(MIDPNT2,A,B)& perp(A,B,MIDPNT2,F)& midp(MIDPNT3,C,B)& perp(C,B,MIDPNT3,F)& coll(B,E,G)& circle(F,B,G,NWPNT4)& coll(A,D,H)& circle(F,A,H,NWPNT5) )=> para(D,E,G,H) ) )),
% 12.53/12.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.53/12.08 fof(f96,negated_conjecture,(
% 12.53/12.08 ~((! [A,B,C,D,E,F,G,H,MIDPNT1,MIDPNT2,MIDPNT3,NWPNT4,NWPNT5] :( ( perp(D,A,B,C)& coll(D,B,C)& perp(E,B,A,C)& coll(E,A,C)& midp(MIDPNT1,A,C)& perp(A,C,MIDPNT1,F)& midp(MIDPNT2,A,B)& perp(A,B,MIDPNT2,F)& midp(MIDPNT3,C,B)& perp(C,B,MIDPNT3,F)& coll(B,E,G)& circle(F,B,G,NWPNT4)& coll(A,D,H)& circle(F,A,H,NWPNT5) )=> para(D,E,G,H) ) ))),
% 12.53/12.08 inference(negated_conjecture,[status(cth)],[f95])).
% 12.53/12.08 fof(f104,plain,(
% 12.53/12.08 ![A,B,C,D]: (~para(A,B,C,D)|para(A,B,D,C))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 12.53/12.08 fof(f105,plain,(
% 12.53/12.08 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X0,X1,X3,X2))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f104])).
% 12.53/12.08 fof(f106,plain,(
% 12.53/12.08 ![A,B,C,D]: (~para(A,B,C,D)|para(C,D,A,B))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 12.53/12.08 fof(f107,plain,(
% 12.53/12.08 ![X0,X1,X2,X3]: (~para(X0,X1,X2,X3)|para(X2,X3,X0,X1))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f106])).
% 12.53/12.08 fof(f113,plain,(
% 12.53/12.08 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 12.53/12.08 fof(f114,plain,(
% 12.53/12.08 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f113])).
% 12.53/12.08 fof(f115,plain,(
% 12.53/12.08 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 12.53/12.08 fof(f116,plain,(
% 12.53/12.08 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 12.53/12.08 inference(miniscoping,[status(thm)],[f115])).
% 12.53/12.08 fof(f117,plain,(
% 12.53/12.08 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f116])).
% 12.53/12.08 fof(f139,plain,(
% 12.53/12.08 ![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))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 12.53/12.08 fof(f140,plain,(
% 12.53/12.08 ![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))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f139])).
% 12.53/12.08 fof(f150,plain,(
% 12.53/12.08 ![A,B,C,D]: (~cong(A,B,C,D)|cong(C,D,A,B))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 12.53/12.08 fof(f151,plain,(
% 12.53/12.08 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X3)|cong(X2,X3,X0,X1))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f150])).
% 12.53/12.08 fof(f152,plain,(
% 12.53/12.08 ![A,B,C,D,E,F]: ((~cong(A,B,C,D)|~cong(C,D,E,F))|cong(A,B,E,F))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 12.53/12.08 fof(f153,plain,(
% 12.53/12.08 ![A,B,E,F]: ((![C,D]: (~cong(A,B,C,D)|~cong(C,D,E,F)))|cong(A,B,E,F))),
% 12.53/12.08 inference(miniscoping,[status(thm)],[f152])).
% 12.53/12.08 fof(f154,plain,(
% 12.53/12.08 ![X0,X1,X2,X3,X4,X5]: (~cong(X0,X1,X2,X3)|~cong(X2,X3,X4,X5)|cong(X0,X1,X4,X5))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f153])).
% 12.53/12.08 fof(f184,plain,(
% 12.53/12.08 ![A,B,C,D,P,Q]: (~eqangle(A,B,P,Q,C,D,P,Q)|para(A,B,C,D))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 12.53/12.08 fof(f185,plain,(
% 12.53/12.08 ![A,B,C,D]: ((![P,Q]: ~eqangle(A,B,P,Q,C,D,P,Q))|para(A,B,C,D))),
% 12.53/12.08 inference(miniscoping,[status(thm)],[f184])).
% 12.53/12.08 fof(f186,plain,(
% 12.53/12.08 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X4,X5,X2,X3)|para(X0,X1,X4,X5))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f185])).
% 12.53/12.08 fof(f187,plain,(
% 12.53/12.08 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 12.53/12.08 fof(f188,plain,(
% 12.53/12.08 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 12.53/12.08 inference(miniscoping,[status(thm)],[f187])).
% 12.53/12.08 fof(f189,plain,(
% 12.53/12.08 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f188])).
% 12.53/12.08 fof(f231,plain,(
% 12.53/12.08 ![A,B,P,Q]: ((~cong(A,P,B,P)|~cong(A,Q,B,Q))|perp(A,B,P,Q))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 12.53/12.08 fof(f232,plain,(
% 12.53/12.08 ![X0,X1,X2,X3]: (~cong(X0,X1,X2,X1)|~cong(X0,X3,X2,X3)|perp(X0,X2,X1,X3))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f231])).
% 12.53/12.08 fof(f250,plain,(
% 12.53/12.08 ![A,B,C,D,M]: (((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C))|midp(M,C,D))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 12.53/12.08 fof(f251,plain,(
% 12.53/12.08 ![C,D,M]: ((![A,B]: ((~midp(M,A,B)|~para(A,C,B,D))|~para(A,D,B,C)))|midp(M,C,D))),
% 12.53/12.08 inference(miniscoping,[status(thm)],[f250])).
% 12.53/12.08 fof(f252,plain,(
% 12.53/12.08 ![X0,X1,X2,X3,X4]: (~midp(X0,X1,X2)|~para(X1,X3,X2,X4)|~para(X1,X4,X2,X3)|midp(X0,X3,X4))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f251])).
% 12.53/12.08 fof(f255,plain,(
% 12.53/12.08 ![A,B,C]: (~para(A,B,A,C)|coll(A,B,C))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f67])).
% 12.53/12.08 fof(f256,plain,(
% 12.53/12.08 ![X0,X1,X2]: (~para(X0,X1,X0,X2)|coll(X0,X1,X2))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f255])).
% 12.53/12.08 fof(f257,plain,(
% 12.53/12.08 ![A,B,C]: ((~cong(A,B,A,C)|~coll(A,B,C))|midp(A,B,C))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f68])).
% 12.53/12.08 fof(f258,plain,(
% 12.53/12.08 ![X0,X1,X2]: (~cong(X0,X1,X0,X2)|~coll(X0,X1,X2)|midp(X0,X1,X2))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f257])).
% 12.53/12.08 fof(f259,plain,(
% 12.53/12.08 ![A,B,C]: (~midp(A,B,C)|cong(A,B,A,C))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 12.53/12.08 fof(f260,plain,(
% 12.53/12.08 ![X0,X1,X2]: (~midp(X0,X1,X2)|cong(X0,X1,X0,X2))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f259])).
% 12.53/12.08 fof(f331,plain,(
% 12.53/12.08 ![A,B,C,O]: (?[P]: (~circle(O,A,B,C)|perp(P,A,A,O)))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f87])).
% 12.53/12.08 fof(f332,plain,(
% 12.53/12.08 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|(?[P]: perp(P,A,A,O)))),
% 12.53/12.08 inference(miniscoping,[status(thm)],[f331])).
% 12.53/12.08 fof(f333,plain,(
% 12.53/12.08 ![A,O]: ((![B,C]: ~circle(O,A,B,C))|perp(sK11_skl(O,A),A,A,O))),
% 12.53/12.08 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332])).
% 12.53/12.08 fof(f334,plain,(
% 12.53/12.08 ![X0,X1,X2,X3]: (~circle(X0,X1,X2,X3)|perp(sK11_skl(X0,X1),X1,X1,X0))),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f333])).
% 12.53/12.08 fof(f369,plain,(
% 12.53/12.08 (?[A,B,C,D,E,F,G,H,MIDPNT1,MIDPNT2,MIDPNT3,NWPNT4,NWPNT5]: ((((((((((((((perp(D,A,B,C)&coll(D,B,C))&perp(E,B,A,C))&coll(E,A,C))&midp(MIDPNT1,A,C))&perp(A,C,MIDPNT1,F))&midp(MIDPNT2,A,B))&perp(A,B,MIDPNT2,F))&midp(MIDPNT3,C,B))&perp(C,B,MIDPNT3,F))&coll(B,E,G))&circle(F,B,G,NWPNT4))&coll(A,D,H))&circle(F,A,H,NWPNT5))&~para(D,E,G,H)))),
% 12.53/12.08 inference(pre_NNF_transformation,[status(thm)],[f96])).
% 12.53/12.08 fof(f370,plain,(
% 12.53/12.08 ?[D,E,G,H]: ((?[A,F]: (((?[B]: (((?[C,MIDPNT3]: (((?[MIDPNT2]: (((?[MIDPNT1]: (((((perp(D,A,B,C)&coll(D,B,C))&perp(E,B,A,C))&coll(E,A,C))&midp(MIDPNT1,A,C))&perp(A,C,MIDPNT1,F)))&midp(MIDPNT2,A,B))&perp(A,B,MIDPNT2,F)))&midp(MIDPNT3,C,B))&perp(C,B,MIDPNT3,F)))&coll(B,E,G))&(?[NWPNT4]: circle(F,B,G,NWPNT4))))&coll(A,D,H))&(?[NWPNT5]: circle(F,A,H,NWPNT5))))&~para(D,E,G,H))),
% 12.53/12.08 inference(miniscoping,[status(thm)],[f369])).
% 12.53/12.08 fof(f371,plain,(
% 12.53/12.08 ((((((((((((((perp(sK20_skl,sK24_skl,sK26_skl,sK27_skl)&coll(sK20_skl,sK26_skl,sK27_skl))&perp(sK21_skl,sK26_skl,sK24_skl,sK27_skl))&coll(sK21_skl,sK24_skl,sK27_skl))&midp(sK30_skl,sK24_skl,sK27_skl))&perp(sK24_skl,sK27_skl,sK30_skl,sK25_skl))&midp(sK29_skl,sK24_skl,sK26_skl))&perp(sK24_skl,sK26_skl,sK29_skl,sK25_skl))&midp(sK28_skl,sK27_skl,sK26_skl))&perp(sK27_skl,sK26_skl,sK28_skl,sK25_skl))&coll(sK26_skl,sK21_skl,sK22_skl))&circle(sK25_skl,sK26_skl,sK22_skl,sK31_skl))&coll(sK24_skl,sK20_skl,sK23_skl))&circle(sK25_skl,sK24_skl,sK23_skl,sK32_skl))&~para(sK20_skl,sK21_skl,sK22_skl,sK23_skl))),
% 12.53/12.08 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]),skolemize(D,sK20_skl),skolemize(E,sK21_skl),skolemize(G,sK22_skl),skolemize(H,sK23_skl),skolemize(A,sK24_skl),skolemize(F,sK25_skl),skolemize(B,sK26_skl),skolemize(C,sK27_skl),skolemize(MIDPNT3,sK28_skl),skolemize(MIDPNT2,sK29_skl),skolemize(MIDPNT1,sK30_skl),skolemize(NWPNT4,sK31_skl),skolemize(NWPNT5,sK32_skl)],[f370])).
% 12.53/12.08 fof(f380,plain,(
% 12.53/12.08 midp(sK28_skl,sK27_skl,sK26_skl)),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f371])).
% 12.53/12.08 fof(f383,plain,(
% 12.53/12.08 circle(sK25_skl,sK26_skl,sK22_skl,sK31_skl)),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f371])).
% 12.53/12.08 fof(f386,plain,(
% 12.53/12.08 ~para(sK20_skl,sK21_skl,sK22_skl,sK23_skl)),
% 12.53/12.08 inference(cnf_transformation,[status(thm)],[f371])).
% 12.53/12.08 fof(f394,plain,(
% 12.53/12.08 ![X0,X1]: (~perp(sK20_skl,sK21_skl,X0,X1)|~perp(X0,X1,sK22_skl,sK23_skl))),
% 12.53/12.08 inference(resolution,[status(thm)],[f386,f117])).
% 12.53/12.08 fof(f406,plain,(
% 12.53/12.08 ![X0,X1,X2,X3,X4,X5]: (~eqangle(X0,X1,X2,X3,X0,X1,X4,X5)|para(X2,X3,X4,X5))),
% 12.53/12.08 inference(resolution,[status(thm)],[f140,f186])).
% 12.53/12.08 fof(f419,plain,(
% 12.53/12.08 ![X0,X1]: (~perp(X0,X1,sK22_skl,sK23_skl)|~perp(X0,X1,sK20_skl,sK21_skl))),
% 12.53/12.08 inference(resolution,[status(thm)],[f394,f114])).
% 12.53/12.08 fof(f475,plain,(
% 12.53/12.08 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X0,X1))),
% 12.53/12.08 inference(resolution,[status(thm)],[f256,f107])).
% 12.53/12.08 fof(f487,plain,(
% 12.53/12.08 cong(sK28_skl,sK27_skl,sK28_skl,sK26_skl)),
% 12.53/12.08 inference(resolution,[status(thm)],[f260,f380])).
% 12.53/12.08 fof(f490,plain,(
% 12.53/12.08 ![X0,X1,X2,X3,X4]: (cong(X0,X1,X0,X2)|~midp(X0,X3,X4)|~para(X3,X1,X4,X2)|~para(X3,X2,X4,X1))),
% 12.53/12.08 inference(resolution,[status(thm)],[f260,f252])).
% 12.53/12.08 fof(f494,plain,(
% 12.53/12.08 ![X0,X1]: (~cong(X0,X1,sK28_skl,sK27_skl)|cong(X0,X1,sK28_skl,sK26_skl))),
% 12.53/12.08 inference(resolution,[status(thm)],[f487,f154])).
% 12.53/12.08 fof(f495,plain,(
% 12.53/12.08 cong(sK28_skl,sK26_skl,sK28_skl,sK27_skl)),
% 12.53/12.08 inference(resolution,[status(thm)],[f487,f151])).
% 12.53/12.08 fof(f648,plain,(
% 12.53/12.08 ![X0,X1,X2,X3]: (para(X0,X1,X0,X1)|~para(X2,X3,X2,X3))),
% 12.53/12.08 inference(resolution,[status(thm)],[f406,f189])).
% 12.53/12.08 fof(f868,plain,(
% 12.53/12.08 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X0,X2,X1,X0))),
% 12.53/12.08 inference(resolution,[status(thm)],[f475,f105])).
% 12.53/12.08 fof(f923,plain,(
% 12.53/12.08 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X1,X0,X0,X2))),
% 12.53/12.08 inference(resolution,[status(thm)],[f868,f107])).
% 12.53/12.08 fof(f973,plain,(
% 12.53/12.08 ![X0,X1,X2]: (coll(X0,X1,X2)|~para(X1,X0,X2,X0))),
% 12.53/12.08 inference(resolution,[status(thm)],[f923,f105])).
% 12.53/12.08 fof(f1155,plain,(
% 12.53/12.08 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X0,X1)|~perp(X2,X3,X4,X5)|~perp(X4,X5,X2,X3))),
% 12.53/12.09 inference(resolution,[status(thm)],[f648,f117])).
% 12.53/12.09 fof(f1159,plain,(
% 12.53/12.09 ![X0,X1,X2,X3,X4,X5]: (para(X0,X1,X0,X1)|~perp(X2,X3,X4,X5))),
% 12.53/12.09 inference(forward_subsumption_resolution,[status(thm)],[f1155,f114])).
% 12.53/12.09 fof(f1200,plain,(
% 12.53/12.09 perp(sK11_skl(sK25_skl,sK26_skl),sK26_skl,sK26_skl,sK25_skl)),
% 12.53/12.09 inference(resolution,[status(thm)],[f334,f383])).
% 12.53/12.09 fof(f1359,plain,(
% 12.53/12.09 ![X0,X1]: (para(X0,X1,X0,X1))),
% 12.53/12.09 inference(resolution,[status(thm)],[f1159,f1200])).
% 12.53/12.09 fof(f1378,plain,(
% 12.53/12.09 ![X0,X1,X2]: (cong(X0,X1,X0,X1)|~midp(X0,X2,X2)|~para(X2,X1,X2,X1))),
% 12.53/12.09 inference(resolution,[status(thm)],[f1359,f490])).
% 12.53/12.09 fof(f1380,plain,(
% 12.53/12.09 ![X0,X1]: (coll(X0,X1,X1))),
% 12.53/12.09 inference(resolution,[status(thm)],[f1359,f973])).
% 12.53/12.09 fof(f1394,plain,(
% 12.53/12.09 ![X0,X1,X2]: (cong(X0,X1,X0,X1)|~midp(X0,X2,X2))),
% 12.53/12.09 inference(forward_subsumption_resolution,[status(thm)],[f1378,f1359])).
% 12.53/12.09 fof(f2697,plain,(
% 12.53/12.09 cong(sK28_skl,sK26_skl,sK28_skl,sK26_skl)),
% 12.53/12.09 inference(resolution,[status(thm)],[f494,f495])).
% 12.53/12.09 fof(f2746,plain,(
% 12.53/12.09 ~coll(sK28_skl,sK26_skl,sK26_skl)|midp(sK28_skl,sK26_skl,sK26_skl)),
% 12.53/12.09 inference(resolution,[status(thm)],[f2697,f258])).
% 12.53/12.09 fof(f2756,plain,(
% 12.53/12.09 midp(sK28_skl,sK26_skl,sK26_skl)),
% 12.53/12.09 inference(forward_subsumption_resolution,[status(thm)],[f2746,f1380])).
% 12.53/12.09 fof(f2807,plain,(
% 12.53/12.09 ![X0]: (cong(sK28_skl,X0,sK28_skl,X0))),
% 12.53/12.09 inference(resolution,[status(thm)],[f2756,f1394])).
% 12.53/12.09 fof(f2868,plain,(
% 12.53/12.09 ![X0,X1]: (~cong(sK28_skl,X0,sK28_skl,X0)|perp(sK28_skl,sK28_skl,X0,X1))),
% 12.53/12.09 inference(resolution,[status(thm)],[f2807,f232])).
% 12.53/12.09 fof(f2881,plain,(
% 12.53/12.09 ![X0,X1]: (perp(sK28_skl,sK28_skl,X0,X1))),
% 12.53/12.09 inference(forward_subsumption_resolution,[status(thm)],[f2868,f2807])).
% 12.53/12.09 fof(f3070,plain,(
% 12.53/12.09 ~perp(sK28_skl,sK28_skl,sK20_skl,sK21_skl)),
% 12.53/12.09 inference(resolution,[status(thm)],[f2881,f419])).
% 12.53/12.09 fof(f3086,plain,(
% 12.53/12.09 $false),
% 12.53/12.09 inference(forward_subsumption_resolution,[status(thm)],[f3070,f2881])).
% 12.53/12.09 % SZS output end CNFRefutation for theBenchmark.p
% 0.54/12.11 % Elapsed time: 1.717407 seconds
% 0.54/12.11 % CPU time: 13.333231 seconds
% 0.54/12.11 % Total memory used: 165.627 MB
% 0.54/12.11 % Net memory used: 154.562 MB
%------------------------------------------------------------------------------