TSTP Solution File: SYN586-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN586-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 : Tue Apr 30 20:52:35 EDT 2024
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN586-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:52:13 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f3,negated_conjecture,(
% 0.19/0.48 (![X24]: (p3(X24,X24) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f4,negated_conjecture,(
% 0.19/0.48 (![X13]: (p2(X13,X13) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f5,negated_conjecture,(
% 0.19/0.48 p3(c21,c19) ),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f6,negated_conjecture,(
% 0.19/0.48 ~ p12(f13(c20),f13(c18)) ),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f12,negated_conjecture,(
% 0.19/0.48 (![X27,X28]: (( p3(f11(X27),f11(X28))| ~ p3(X27,X28) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f15,negated_conjecture,(
% 0.19/0.48 (![X25,X26,X24]: (( p3(X25,X26)| ~ p3(X24,X25)| ~ p3(X24,X26) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f16,negated_conjecture,(
% 0.19/0.48 (![X14,X15,X13]: (( p2(X14,X15)| ~ p2(X13,X14)| ~ p2(X13,X15) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f17,negated_conjecture,(
% 0.19/0.48 (![X9,X10,X11,X12]: (( p15(X9,X10)| ~ p2(X11,X9)| ~ p2(X12,X10)| ~ p15(X11,X12) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f18,negated_conjecture,(
% 0.19/0.48 p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20) ),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f20,negated_conjecture,(
% 0.19/0.48 (![X16,X17,X18,X19]: (( p2(f4(X16,X17),f4(X18,X19))| ~ p2(X16,X18)| ~ p3(X17,X19) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f22,negated_conjecture,(
% 0.19/0.48 p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20) ),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f23,negated_conjecture,(
% 0.19/0.48 ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20) ),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f24,negated_conjecture,(
% 0.19/0.48 (![X5,X6]: (( p12(f13(X5),f13(c18))| p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f14(X5,X6)),X5) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f25,negated_conjecture,(
% 0.19/0.48 (![X5,X6]: (( p12(f13(X5),f13(c18))| ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(f14(X5,X6))),X5) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f26,negated_conjecture,(
% 0.19/0.48 (![X7,X8,X5,X6]: (( p3(X7,X8)| p12(f13(X5),f13(c18))| p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X8)),X5)| p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X7)),X5)| ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X7),X5)| ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X8),X5) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f29,plain,(
% 0.19/0.48 ![X0]: (p3(X0,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.48 fof(f30,plain,(
% 0.19/0.48 ![X0]: (p2(X0,X0))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.48 fof(f31,plain,(
% 0.19/0.48 p3(c21,c19)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.48 fof(f32,plain,(
% 0.19/0.48 ~p12(f13(c20),f13(c18))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.48 fof(f38,plain,(
% 0.19/0.48 ![X0,X1]: (p3(f11(X0),f11(X1))|~p3(X0,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.48 fof(f43,plain,(
% 0.19/0.48 ![X26,X24]: ((![X25]: (p3(X25,X26)|~p3(X24,X25)))|~p3(X24,X26))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f15])).
% 0.19/0.48 fof(f44,plain,(
% 0.19/0.48 ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f43])).
% 0.19/0.48 fof(f45,plain,(
% 0.19/0.48 ![X15,X13]: ((![X14]: (p2(X14,X15)|~p2(X13,X14)))|~p2(X13,X15))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f16])).
% 0.19/0.48 fof(f46,plain,(
% 0.19/0.48 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f45])).
% 0.19/0.48 fof(f47,plain,(
% 0.19/0.48 ![X11,X12]: ((![X10]: ((![X9]: (p15(X9,X10)|~p2(X11,X9)))|~p2(X12,X10)))|~p15(X11,X12))),
% 0.19/0.48 inference(miniscoping,[status(esa)],[f17])).
% 0.19/0.48 fof(f48,plain,(
% 0.19/0.48 ![X0,X1,X2,X3]: (p15(X0,X1)|~p2(X2,X0)|~p2(X3,X1)|~p15(X2,X3))),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f47])).
% 0.19/0.48 fof(f49,plain,(
% 0.19/0.48 p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)),
% 0.19/0.48 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.49 fof(f52,plain,(
% 0.19/0.49 ![X17,X19]: ((![X16,X18]: (p2(f4(X16,X17),f4(X18,X19))|~p2(X16,X18)))|~p3(X17,X19))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f20])).
% 0.19/0.49 fof(f53,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (p2(f4(X0,X1),f4(X2,X3))|~p2(X0,X2)|~p3(X1,X3))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f52])).
% 0.19/0.49 fof(f56,plain,(
% 0.19/0.49 p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.49 fof(f57,plain,(
% 0.19/0.49 ~p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20)),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.49 fof(f58,plain,(
% 0.19/0.49 ![X5]: (p12(f13(X5),f13(c18))|(![X6]: p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f14(X5,X6)),X5)))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f24])).
% 0.19/0.49 fof(f59,plain,(
% 0.19/0.49 ![X0,X1]: (p12(f13(X0),f13(c18))|p15(f4(f6(f10(X1),f6(f7(f8(f9(c17))),c18)),f14(X0,X1)),X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f58])).
% 0.19/0.49 fof(f60,plain,(
% 0.19/0.49 ![X5]: (p12(f13(X5),f13(c18))|(![X6]: ~p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(f14(X5,X6))),X5)))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f25])).
% 0.19/0.49 fof(f61,plain,(
% 0.19/0.49 ![X0,X1]: (p12(f13(X0),f13(c18))|~p15(f4(f6(f10(X1),f6(f7(f8(f9(c17))),c18)),f11(f14(X0,X1))),X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f60])).
% 0.19/0.49 fof(f62,plain,(
% 0.19/0.49 ![X8,X5,X6]: ((![X7]: ((((p3(X7,X8)|p12(f13(X5),f13(c18)))|p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X8)),X5))|p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X7)),X5))|~p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X7),X5)))|~p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X8),X5))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f26])).
% 0.19/0.49 fof(f63,plain,(
% 0.19/0.49 ![X0,X1,X2,X3]: (p3(X0,X1)|p12(f13(X2),f13(c18))|p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),f11(X1)),X2)|p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),f11(X0)),X2)|~p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),X0),X2)|~p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),X1),X2))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f62])).
% 0.19/0.49 fof(f67,plain,(
% 0.19/0.49 ![X0,X1]: (p2(X0,X1)|~p2(X1,X0))),
% 0.19/0.49 inference(resolution,[status(thm)],[f46,f30])).
% 0.19/0.49 fof(f76,plain,(
% 0.19/0.49 ![X0,X1,X2]: (p2(f4(X0,X1),f4(X0,X2))|~p3(X1,X2))),
% 0.19/0.49 inference(resolution,[status(thm)],[f53,f30])).
% 0.19/0.49 fof(f78,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~p3(X0,X1)|p2(f4(X2,X1),f4(X2,X0)))),
% 0.19/0.49 inference(resolution,[status(thm)],[f76,f67])).
% 0.19/0.49 fof(f107,plain,(
% 0.19/0.49 ![X0,X1]: (p15(X0,X1)|~p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X0)|~p2(c20,X1))),
% 0.19/0.49 inference(resolution,[status(thm)],[f56,f48])).
% 0.19/0.49 fof(f179,plain,(
% 0.19/0.49 spl0_1 <=> p12(f13(c20),f13(c18))),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f180,plain,(
% 0.19/0.49 p12(f13(c20),f13(c18))|~spl0_1),
% 0.19/0.49 inference(component_clause,[status(thm)],[f179])).
% 0.19/0.49 fof(f182,plain,(
% 0.19/0.49 spl0_2 <=> p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)),
% 0.19/0.49 introduced(split_symbol_definition)).
% 0.19/0.49 fof(f184,plain,(
% 0.19/0.49 ~p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)|spl0_2),
% 0.19/0.49 inference(component_clause,[status(thm)],[f182])).
% 0.19/0.49 fof(f187,plain,(
% 0.19/0.49 ![X0,X1,X2]: (p3(X0,f14(X1,X2))|p12(f13(X1),f13(c18))|p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(X0)),X1)|~p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),X0),X1)|~p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f14(X1,X2)),X1)|p12(f13(X1),f13(c18)))),
% 0.19/0.49 inference(resolution,[status(thm)],[f63,f61])).
% 0.19/0.49 fof(f188,plain,(
% 0.19/0.49 ![X0,X1,X2]: (p3(X0,f14(X1,X2))|p12(f13(X1),f13(c18))|p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(X0)),X1)|~p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),X0),X1)|~p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f14(X1,X2)),X1))),
% 0.19/0.49 inference(duplicate_literals_removal,[status(esa)],[f187])).
% 0.19/0.49 fof(f189,plain,(
% 0.19/0.49 ![X0,X1,X2]: (p3(X0,f14(X1,X2))|p12(f13(X1),f13(c18))|p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(X0)),X1)|~p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),X0),X1))),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f188,f59])).
% 0.19/0.49 fof(f191,plain,(
% 0.19/0.49 $false|spl0_2),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f184,f49])).
% 0.19/0.49 fof(f192,plain,(
% 0.19/0.49 spl0_2),
% 0.19/0.49 inference(contradiction_clause,[status(thm)],[f191])).
% 0.19/0.49 fof(f210,plain,(
% 0.19/0.49 $false|~spl0_1),
% 0.19/0.49 inference(forward_subsumption_resolution,[status(thm)],[f180,f32])).
% 0.19/0.49 fof(f211,plain,(
% 0.19/0.49 ~spl0_1),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f210])).
% 0.19/0.51 fof(f354,plain,(
% 0.19/0.51 ![X0]: (p15(X0,c20)|~p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X0))),
% 0.19/0.51 inference(resolution,[status(thm)],[f107,f30])).
% 0.19/0.51 fof(f392,plain,(
% 0.19/0.51 spl0_7 <=> p3(c19,f14(c20,c16))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f393,plain,(
% 0.19/0.51 p3(c19,f14(c20,c16))|~spl0_7),
% 0.19/0.51 inference(component_clause,[status(thm)],[f392])).
% 0.19/0.51 fof(f395,plain,(
% 0.19/0.51 p3(c19,f14(c20,c16))|p12(f13(c20),f13(c18))|~p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)),
% 0.19/0.51 inference(resolution,[status(thm)],[f189,f57])).
% 0.19/0.51 fof(f396,plain,(
% 0.19/0.51 spl0_7|spl0_1|~spl0_2),
% 0.19/0.51 inference(split_clause,[status(thm)],[f395,f392,f179,f182])).
% 0.19/0.51 fof(f676,plain,(
% 0.19/0.51 spl0_11 <=> ~p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(f6(f10(X0),f6(f7(f8(f9(c17))),c18)),f11(f14(c20,X0))))),
% 0.19/0.51 introduced(split_symbol_definition)).
% 0.19/0.51 fof(f677,plain,(
% 0.19/0.51 ![X0]: (~p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(f6(f10(X0),f6(f7(f8(f9(c17))),c18)),f11(f14(c20,X0))))|~spl0_11)),
% 0.19/0.51 inference(component_clause,[status(thm)],[f676])).
% 0.19/0.51 fof(f679,plain,(
% 0.19/0.51 ![X0]: (~p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(f6(f10(X0),f6(f7(f8(f9(c17))),c18)),f11(f14(c20,X0))))|p12(f13(c20),f13(c18)))),
% 0.19/0.51 inference(resolution,[status(thm)],[f354,f61])).
% 0.19/0.51 fof(f680,plain,(
% 0.19/0.51 spl0_11|spl0_1),
% 0.19/0.51 inference(split_clause,[status(thm)],[f679,f676,f179])).
% 0.19/0.51 fof(f876,plain,(
% 0.19/0.51 ~p3(f11(f14(c20,c16)),f11(c21))|~spl0_11),
% 0.19/0.51 inference(resolution,[status(thm)],[f677,f78])).
% 0.19/0.51 fof(f882,plain,(
% 0.19/0.51 ~p3(f14(c20,c16),c21)|~spl0_11),
% 0.19/0.51 inference(resolution,[status(thm)],[f876,f38])).
% 0.19/0.51 fof(f884,plain,(
% 0.19/0.51 ![X0]: (~p3(X0,f14(c20,c16))|~p3(X0,c21)|~spl0_11)),
% 0.19/0.51 inference(resolution,[status(thm)],[f882,f44])).
% 0.19/0.51 fof(f888,plain,(
% 0.19/0.51 ![X0,X1]: (~p3(X0,f14(c20,c16))|~p3(X1,X0)|~p3(X1,c21)|~spl0_11)),
% 0.19/0.51 inference(resolution,[status(thm)],[f884,f44])).
% 0.19/0.51 fof(f898,plain,(
% 0.19/0.51 ![X0]: (~p3(X0,f14(c20,c16))|~p3(c21,X0)|~spl0_11)),
% 0.19/0.51 inference(resolution,[status(thm)],[f888,f29])).
% 0.19/0.51 fof(f899,plain,(
% 0.19/0.51 ~p3(c19,f14(c20,c16))|~spl0_11),
% 0.19/0.51 inference(resolution,[status(thm)],[f898,f31])).
% 0.19/0.51 fof(f900,plain,(
% 0.19/0.51 $false|~spl0_7|~spl0_11),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f899,f393])).
% 0.19/0.51 fof(f901,plain,(
% 0.19/0.51 ~spl0_7|~spl0_11),
% 0.19/0.51 inference(contradiction_clause,[status(thm)],[f900])).
% 0.19/0.51 fof(f902,plain,(
% 0.19/0.51 $false),
% 0.19/0.51 inference(sat_refutation,[status(thm)],[f192,f211,f396,f680,f901])).
% 0.19/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.51 % Elapsed time: 0.143434 seconds
% 0.19/0.51 % CPU time: 1.045147 seconds
% 0.19/0.51 % Total memory used: 20.380 MB
% 0.19/0.51 % Net memory used: 19.803 MB
%------------------------------------------------------------------------------