TSTP Solution File: GEO585+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO585+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:09:14 EDT 2023
% Result : Theorem 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO585+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.32 % Computer : n026.cluster.edu
% 0.08/0.32 % Model : x86_64 x86_64
% 0.08/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.32 % Memory : 8042.1875MB
% 0.08/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.32 % CPULimit : 300
% 0.08/0.32 % WCLimit : 300
% 0.08/0.32 % DateTime : Tue May 30 12:15:13 EDT 2023
% 0.08/0.32 % CPUTime :
% 0.08/0.33 % Drodi V3.5.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.42 fof(f8,axiom,(
% 0.14/0.42 (! [A,B,C,D] :( perp(A,B,C,D)=> perp(C,D,A,B) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f9,axiom,(
% 0.14/0.42 (! [A,B,C,D,E,F] :( ( perp(A,B,C,D)& perp(C,D,E,F) )=> para(A,B,E,F) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f14,axiom,(
% 0.14/0.42 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,B,D,C) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f15,axiom,(
% 0.14/0.42 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(A,C,B,D) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f16,axiom,(
% 0.14/0.42 (! [A,B,C,D] :( cyclic(A,B,C,D)=> cyclic(B,A,C,D) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f17,axiom,(
% 0.14/0.42 (! [A,B,C,D,E] :( ( cyclic(A,B,C,D)& cyclic(A,B,C,E) )=> cyclic(B,C,D,E) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f19,axiom,(
% 0.14/0.42 (! [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) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f40,axiom,(
% 0.14/0.42 (! [A,B,C,D,P,Q] :( para(A,B,C,D)=> eqangle(A,B,P,Q,C,D,P,Q) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f42,axiom,(
% 0.14/0.42 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& ~ coll(P,Q,A) )=> cyclic(A,B,P,Q) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f43,axiom,(
% 0.14/0.42 (! [A,B,P,Q] :( ( eqangle(P,A,P,B,Q,A,Q,B)& coll(P,Q,B) )=> cyclic(A,B,P,Q) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f95,conjecture,(
% 0.14/0.42 (! [A,B,C,O,D,U,V,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& perp(A,B,D,U)& perp(A,D,B,U)& perp(B,D,A,U)& perp(A,C,D,V)& perp(A,D,C,V)& perp(C,D,A,V) )=> cyclic(A,U,D,V) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f96,negated_conjecture,(
% 0.14/0.42 ~((! [A,B,C,O,D,U,V,NWPNT1] :( ( circle(O,A,B,C)& circle(O,A,D,NWPNT1)& perp(A,B,D,U)& perp(A,D,B,U)& perp(B,D,A,U)& perp(A,C,D,V)& perp(A,D,C,V)& perp(C,D,A,V) )=> cyclic(A,U,D,V) ) ))),
% 0.14/0.42 inference(negated_conjecture,[status(cth)],[f95])).
% 0.14/0.42 fof(f113,plain,(
% 0.14/0.42 ![A,B,C,D]: (~perp(A,B,C,D)|perp(C,D,A,B))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.14/0.42 fof(f114,plain,(
% 0.14/0.42 ![X0,X1,X2,X3]: (~perp(X0,X1,X2,X3)|perp(X2,X3,X0,X1))),
% 0.14/0.42 inference(cnf_transformation,[status(esa)],[f113])).
% 0.14/0.42 fof(f115,plain,(
% 0.14/0.42 ![A,B,C,D,E,F]: ((~perp(A,B,C,D)|~perp(C,D,E,F))|para(A,B,E,F))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.14/0.42 fof(f116,plain,(
% 0.14/0.42 ![A,B,E,F]: ((![C,D]: (~perp(A,B,C,D)|~perp(C,D,E,F)))|para(A,B,E,F))),
% 0.14/0.42 inference(miniscoping,[status(esa)],[f115])).
% 0.14/0.42 fof(f117,plain,(
% 0.14/0.42 ![X0,X1,X2,X3,X4,X5]: (~perp(X0,X1,X2,X3)|~perp(X2,X3,X4,X5)|para(X0,X1,X4,X5))),
% 0.14/0.42 inference(cnf_transformation,[status(esa)],[f116])).
% 0.14/0.42 fof(f128,plain,(
% 0.14/0.42 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,B,D,C))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.14/0.42 fof(f129,plain,(
% 0.14/0.42 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X1,X3,X2))),
% 0.14/0.42 inference(cnf_transformation,[status(esa)],[f128])).
% 0.14/0.42 fof(f130,plain,(
% 0.14/0.42 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(A,C,B,D))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.14/0.42 fof(f131,plain,(
% 0.14/0.42 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X0,X2,X1,X3))),
% 0.14/0.42 inference(cnf_transformation,[status(esa)],[f130])).
% 0.14/0.42 fof(f132,plain,(
% 0.14/0.42 ![A,B,C,D]: (~cyclic(A,B,C,D)|cyclic(B,A,C,D))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.14/0.42 fof(f133,plain,(
% 0.14/0.42 ![X0,X1,X2,X3]: (~cyclic(X0,X1,X2,X3)|cyclic(X1,X0,X2,X3))),
% 0.14/0.42 inference(cnf_transformation,[status(esa)],[f132])).
% 0.14/0.42 fof(f134,plain,(
% 0.14/0.42 ![A,B,C,D,E]: ((~cyclic(A,B,C,D)|~cyclic(A,B,C,E))|cyclic(B,C,D,E))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.14/0.42 fof(f135,plain,(
% 0.14/0.42 ![B,C,D,E]: ((![A]: (~cyclic(A,B,C,D)|~cyclic(A,B,C,E)))|cyclic(B,C,D,E))),
% 0.14/0.42 inference(miniscoping,[status(esa)],[f134])).
% 0.14/0.42 fof(f136,plain,(
% 0.14/0.42 ![X0,X1,X2,X3,X4]: (~cyclic(X0,X1,X2,X3)|~cyclic(X0,X1,X2,X4)|cyclic(X1,X2,X3,X4))),
% 0.14/0.42 inference(cnf_transformation,[status(esa)],[f135])).
% 0.14/0.42 fof(f139,plain,(
% 0.14/0.43 ![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))),
% 0.14/0.43 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.14/0.43 fof(f140,plain,(
% 0.14/0.43 ![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))),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f139])).
% 0.14/0.43 fof(f187,plain,(
% 0.14/0.43 ![A,B,C,D,P,Q]: (~para(A,B,C,D)|eqangle(A,B,P,Q,C,D,P,Q))),
% 0.14/0.43 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 0.14/0.43 fof(f188,plain,(
% 0.14/0.43 ![A,B,C,D]: (~para(A,B,C,D)|(![P,Q]: eqangle(A,B,P,Q,C,D,P,Q)))),
% 0.14/0.43 inference(miniscoping,[status(esa)],[f187])).
% 0.14/0.43 fof(f189,plain,(
% 0.14/0.43 ![X0,X1,X2,X3,X4,X5]: (~para(X0,X1,X2,X3)|eqangle(X0,X1,X4,X5,X2,X3,X4,X5))),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f188])).
% 0.14/0.43 fof(f192,plain,(
% 0.14/0.43 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|coll(P,Q,A))|cyclic(A,B,P,Q))),
% 0.14/0.43 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.14/0.43 fof(f193,plain,(
% 0.14/0.43 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|coll(X0,X3,X1)|cyclic(X1,X2,X0,X3))),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f192])).
% 0.14/0.43 fof(f194,plain,(
% 0.14/0.43 ![A,B,P,Q]: ((~eqangle(P,A,P,B,Q,A,Q,B)|~coll(P,Q,B))|cyclic(A,B,P,Q))),
% 0.14/0.43 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.14/0.43 fof(f195,plain,(
% 0.14/0.43 ![X0,X1,X2,X3]: (~eqangle(X0,X1,X0,X2,X3,X1,X3,X2)|~coll(X0,X3,X2)|cyclic(X1,X2,X0,X3))),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f194])).
% 0.14/0.43 fof(f369,plain,(
% 0.14/0.43 (?[A,B,C,O,D,U,V,NWPNT1]: ((((((((circle(O,A,B,C)&circle(O,A,D,NWPNT1))&perp(A,B,D,U))&perp(A,D,B,U))&perp(B,D,A,U))&perp(A,C,D,V))&perp(A,D,C,V))&perp(C,D,A,V))&~cyclic(A,U,D,V)))),
% 0.14/0.43 inference(pre_NNF_transformation,[status(esa)],[f96])).
% 0.14/0.43 fof(f370,plain,(
% 0.14/0.43 ?[A,D,U,V]: ((?[C]: ((((?[B]: ((((?[O]: (circle(O,A,B,C)&(?[NWPNT1]: circle(O,A,D,NWPNT1))))&perp(A,B,D,U))&perp(A,D,B,U))&perp(B,D,A,U)))&perp(A,C,D,V))&perp(A,D,C,V))&perp(C,D,A,V)))&~cyclic(A,U,D,V))),
% 0.14/0.43 inference(miniscoping,[status(esa)],[f369])).
% 0.14/0.43 fof(f371,plain,(
% 0.14/0.43 ((((((((circle(sk0_26,sk0_20,sk0_25,sk0_24)&circle(sk0_26,sk0_20,sk0_21,sk0_27))&perp(sk0_20,sk0_25,sk0_21,sk0_22))&perp(sk0_20,sk0_21,sk0_25,sk0_22))&perp(sk0_25,sk0_21,sk0_20,sk0_22))&perp(sk0_20,sk0_24,sk0_21,sk0_23))&perp(sk0_20,sk0_21,sk0_24,sk0_23))&perp(sk0_24,sk0_21,sk0_20,sk0_23))&~cyclic(sk0_20,sk0_22,sk0_21,sk0_23))),
% 0.14/0.43 inference(skolemization,[status(esa)],[f370])).
% 0.14/0.43 fof(f379,plain,(
% 0.14/0.43 perp(sk0_24,sk0_21,sk0_20,sk0_23)),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f371])).
% 0.14/0.43 fof(f380,plain,(
% 0.14/0.43 ~cyclic(sk0_20,sk0_22,sk0_21,sk0_23)),
% 0.14/0.43 inference(cnf_transformation,[status(esa)],[f371])).
% 0.14/0.43 fof(f394,plain,(
% 0.14/0.43 perp(sk0_20,sk0_23,sk0_24,sk0_21)),
% 0.14/0.43 inference(resolution,[status(thm)],[f114,f379])).
% 0.14/0.43 fof(f528,plain,(
% 0.14/0.43 ![X0,X1]: (~perp(sk0_20,sk0_23,X0,X1)|para(sk0_24,sk0_21,X0,X1))),
% 0.14/0.43 inference(resolution,[status(thm)],[f117,f379])).
% 0.14/0.43 fof(f548,plain,(
% 0.14/0.43 para(sk0_24,sk0_21,sk0_24,sk0_21)),
% 0.14/0.43 inference(resolution,[status(thm)],[f528,f394])).
% 0.14/0.43 fof(f563,plain,(
% 0.14/0.43 ![X0,X1]: (eqangle(sk0_24,sk0_21,X0,X1,sk0_24,sk0_21,X0,X1))),
% 0.14/0.43 inference(resolution,[status(thm)],[f548,f189])).
% 0.14/0.43 fof(f734,plain,(
% 0.14/0.43 spl0_4 <=> coll(sk0_24,sk0_24,sk0_21)),
% 0.14/0.43 introduced(split_symbol_definition)).
% 0.14/0.43 fof(f737,plain,(
% 0.14/0.43 spl0_5 <=> cyclic(sk0_21,X0,sk0_24,sk0_24)),
% 0.14/0.43 introduced(split_symbol_definition)).
% 0.14/0.43 fof(f738,plain,(
% 0.14/0.43 ![X0]: (cyclic(sk0_21,X0,sk0_24,sk0_24)|~spl0_5)),
% 0.14/0.43 inference(component_clause,[status(thm)],[f737])).
% 0.14/0.43 fof(f740,plain,(
% 0.14/0.43 ![X0]: (coll(sk0_24,sk0_24,sk0_21)|cyclic(sk0_21,X0,sk0_24,sk0_24))),
% 0.14/0.43 inference(resolution,[status(thm)],[f563,f193])).
% 0.14/0.43 fof(f741,plain,(
% 0.14/0.43 spl0_4|spl0_5),
% 0.14/0.43 inference(split_clause,[status(thm)],[f740,f734,f737])).
% 0.14/0.43 fof(f757,plain,(
% 0.14/0.43 ![X0,X1]: (eqangle(X0,X1,sk0_24,sk0_21,X0,X1,sk0_24,sk0_21))),
% 0.14/0.43 inference(resolution,[status(thm)],[f140,f563])).
% 0.14/0.43 fof(f1271,plain,(
% 0.14/0.43 spl0_24 <=> cyclic(X0,sk0_21,sk0_24,sk0_24)),
% 0.14/0.43 introduced(split_symbol_definition)).
% 0.14/0.43 fof(f1272,plain,(
% 0.14/0.43 ![X0]: (cyclic(X0,sk0_21,sk0_24,sk0_24)|~spl0_24)),
% 0.14/0.43 inference(component_clause,[status(thm)],[f1271])).
% 0.14/0.43 fof(f1274,plain,(
% 0.14/0.43 ![X0]: (~coll(sk0_24,sk0_24,sk0_21)|cyclic(X0,sk0_21,sk0_24,sk0_24))),
% 0.14/0.43 inference(resolution,[status(thm)],[f757,f195])).
% 0.14/0.43 fof(f1275,plain,(
% 0.14/0.43 ~spl0_4|spl0_24),
% 0.14/0.43 inference(split_clause,[status(thm)],[f1274,f734,f1271])).
% 0.14/0.43 fof(f1306,plain,(
% 0.14/0.43 ![X0]: (cyclic(sk0_21,X0,sk0_24,sk0_24)|~spl0_24)),
% 0.14/0.43 inference(resolution,[status(thm)],[f1272,f133])).
% 0.14/0.43 fof(f1312,plain,(
% 0.14/0.43 ![X0]: (cyclic(sk0_21,sk0_24,X0,sk0_24)|~spl0_5)),
% 0.14/0.43 inference(resolution,[status(thm)],[f738,f131])).
% 0.14/0.43 fof(f1325,plain,(
% 0.14/0.43 ![X0]: (cyclic(sk0_21,sk0_24,sk0_24,X0)|~spl0_5)),
% 0.14/0.43 inference(resolution,[status(thm)],[f1312,f129])).
% 0.14/0.43 fof(f1344,plain,(
% 0.14/0.43 ![X0,X1]: (~cyclic(sk0_21,sk0_24,sk0_24,X0)|cyclic(sk0_24,sk0_24,X1,X0)|~spl0_5)),
% 0.14/0.43 inference(resolution,[status(thm)],[f1325,f136])).
% 0.14/0.43 fof(f1345,plain,(
% 0.14/0.43 ![X0,X1]: (cyclic(sk0_24,sk0_24,X0,X1)|~spl0_5)),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1344,f1325])).
% 0.14/0.43 fof(f1351,plain,(
% 0.14/0.43 ![X0,X1,X2]: (~cyclic(sk0_24,sk0_24,X0,X1)|cyclic(sk0_24,X0,X2,X1)|~spl0_5)),
% 0.14/0.43 inference(resolution,[status(thm)],[f1345,f136])).
% 0.14/0.43 fof(f1352,plain,(
% 0.14/0.43 ![X0,X1,X2]: (cyclic(sk0_24,X0,X1,X2)|~spl0_5)),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1351,f1345])).
% 0.14/0.43 fof(f1358,plain,(
% 0.14/0.43 ![X0,X1,X2,X3]: (~cyclic(sk0_24,X0,X1,X2)|cyclic(X0,X1,X3,X2)|~spl0_5)),
% 0.14/0.43 inference(resolution,[status(thm)],[f1352,f136])).
% 0.14/0.43 fof(f1359,plain,(
% 0.14/0.43 ![X0,X1,X2,X3]: (cyclic(X0,X1,X2,X3)|~spl0_5)),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1358,f1352])).
% 0.14/0.43 fof(f1367,plain,(
% 0.14/0.43 $false|~spl0_5),
% 0.14/0.43 inference(backward_subsumption_resolution,[status(thm)],[f380,f1359])).
% 0.14/0.43 fof(f1368,plain,(
% 0.14/0.43 ~spl0_5),
% 0.14/0.43 inference(contradiction_clause,[status(thm)],[f1367])).
% 0.14/0.43 fof(f1369,plain,(
% 0.14/0.43 spl0_5|~spl0_24),
% 0.14/0.43 inference(split_clause,[status(thm)],[f1306,f737,f1271])).
% 0.14/0.43 fof(f1370,plain,(
% 0.14/0.43 $false),
% 0.14/0.43 inference(sat_refutation,[status(thm)],[f741,f1275,f1368,f1369])).
% 0.14/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.112935 seconds
% 0.14/0.44 % CPU time: 0.466585 seconds
% 0.14/0.44 % Memory used: 49.323 MB
%------------------------------------------------------------------------------