TSTP Solution File: SYN690-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN690-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:52:50 EDT 2024
% Result : Unsatisfiable 0.07s 0.36s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : SYN690-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.35 % Computer : n002.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8042.1875MB
% 0.07/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Apr 29 22:24:39 EDT 2024
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V3.6.0
% 0.07/0.36 % Refutation found
% 0.07/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.36 fof(f19,negated_conjecture,(
% 0.07/0.36 p34(c36,c37) ),
% 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.36 fof(f20,negated_conjecture,(
% 0.07/0.36 ~ p2(c38,c40) ),
% 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.36 fof(f21,negated_conjecture,(
% 0.07/0.36 (![X114]: (p4(f5(c40,X114),f5(f7(c39,c40),X114)) ))),
% 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.36 fof(f22,negated_conjecture,(
% 0.07/0.36 (![X113]: (p4(f5(c38,X113),f5(f7(c39,c38),X113)) ))),
% 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.36 fof(f57,negated_conjecture,(
% 0.07/0.36 (![X103,X105,X104]: (( p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105))| p35(f10(c37,f12(f14(f16(c41,X103),X104),X105)),X105) ) ))),
% 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.36 fof(f58,negated_conjecture,(
% 0.07/0.36 (![X103,X105,X104]: (( p4(f5(f7(c39,X103),X105),f5(f7(c39,X104),X105))| ~ p4(f5(X103,f12(f14(f16(c41,X103),X104),X105)),f5(X104,f12(f14(f16(c41,X103),X104),X105))) ) ))),
% 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.36 fof(f61,negated_conjecture,(
% 0.07/0.36 (![X31,X32,X33,X34,X35]: (( p2(X31,X32)| p4(f5(f26(f28(c43,X33),X34),X35),f5(f26(f28(c44,X33),X34),X35))| ~ p34(c36,X33)| ~ p35(f10(X33,X35),f30(f32(c42,X33),X34))| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))| ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32))) ) ))),
% 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.36 fof(f62,negated_conjecture,(
% 0.07/0.36 (![X31,X32,X33,X34]: (( p2(X31,X32)| ~ p34(c36,X33)| ~ p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32)))| ~ p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))| ~ p4(f5(f7(X34,f26(f28(c43,X33),X34)),f30(f32(c42,X33),X34)),f5(f7(X34,f26(f28(c44,X33),X34)),f30(f32(c42,X33),X34))) ) ))),
% 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.36 fof(f81,plain,(
% 0.07/0.36 p34(c36,c37)),
% 0.07/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.07/0.36 fof(f82,plain,(
% 0.07/0.36 ~p2(c38,c40)),
% 0.07/0.36 inference(cnf_transformation,[status(esa)],[f20])).
% 0.07/0.36 fof(f83,plain,(
% 0.07/0.36 ![X0]: (p4(f5(c40,X0),f5(f7(c39,c40),X0)))),
% 0.07/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.07/0.36 fof(f84,plain,(
% 0.07/0.36 ![X0]: (p4(f5(c38,X0),f5(f7(c39,c38),X0)))),
% 0.07/0.36 inference(cnf_transformation,[status(esa)],[f22])).
% 0.07/0.36 fof(f153,plain,(
% 0.07/0.36 ![X0,X1,X2]: (p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1))|p35(f10(c37,f12(f14(f16(c41,X0),X2),X1)),X1))),
% 0.07/0.36 inference(cnf_transformation,[status(esa)],[f57])).
% 0.07/0.36 fof(f154,plain,(
% 0.07/0.36 ![X0,X1,X2]: (p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1))|~p4(f5(X0,f12(f14(f16(c41,X0),X2),X1)),f5(X2,f12(f14(f16(c41,X0),X2),X1))))),
% 0.07/0.36 inference(cnf_transformation,[status(esa)],[f58])).
% 0.07/0.36 fof(f159,plain,(
% 0.07/0.36 ![X31,X32,X33,X34]: (((![X35]: (((p2(X31,X32)|p4(f5(f26(f28(c43,X33),X34),X35),f5(f26(f28(c44,X33),X34),X35)))|~p34(c36,X33))|~p35(f10(X33,X35),f30(f32(c42,X33),X34))))|~p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32))))|~p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32))))),
% 0.07/0.36 inference(miniscoping,[status(esa)],[f61])).
% 0.07/0.36 fof(f160,plain,(
% 0.07/0.36 ![X0,X1,X2,X3,X4]: (p2(X0,X1)|p4(f5(f26(f28(c43,X2),X3),X4),f5(f26(f28(c44,X2),X3),X4))|~p34(c36,X2)|~p35(f10(X2,X4),f30(f32(c42,X2),X3))|~p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))|~p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1))))),
% 0.07/0.36 inference(cnf_transformation,[status(esa)],[f159])).
% 0.07/0.36 fof(f161,plain,(
% 0.07/0.36 ![X33,X34]: ((![X31,X32]: (((p2(X31,X32)|~p34(c36,X33))|~p4(f5(X31,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X31),f18(f20(f22(f24(c45,X33),X34),X31),X32))))|~p4(f5(X32,f18(f20(f22(f24(c45,X33),X34),X31),X32)),f5(f7(X34,X32),f18(f20(f22(f24(c45,X33),X34),X31),X32)))))|~p4(f5(f7(X34,f26(f28(c43,X33),X34)),f30(f32(c42,X33),X34)),f5(f7(X34,f26(f28(c44,X33),X34)),f30(f32(c42,X33),X34))))),
% 0.07/0.36 inference(miniscoping,[status(esa)],[f62])).
% 0.07/0.36 fof(f162,plain,(
% 0.07/0.36 ![X0,X1,X2,X3]: (p2(X0,X1)|~p34(c36,X2)|~p4(f5(X0,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X0),f18(f20(f22(f24(c45,X2),X3),X0),X1)))|~p4(f5(X1,f18(f20(f22(f24(c45,X2),X3),X0),X1)),f5(f7(X3,X1),f18(f20(f22(f24(c45,X2),X3),X0),X1)))|~p4(f5(f7(X3,f26(f28(c43,X2),X3)),f30(f32(c42,X2),X3)),f5(f7(X3,f26(f28(c44,X2),X3)),f30(f32(c42,X2),X3))))),
% 0.07/0.36 inference(cnf_transformation,[status(esa)],[f161])).
% 0.07/0.36 fof(f284,plain,(
% 0.07/0.36 ![X0,X1,X2]: (p2(X0,X1)|~p4(f5(X0,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X0),f18(f20(f22(f24(c45,c37),X2),X0),X1)))|~p4(f5(X1,f18(f20(f22(f24(c45,c37),X2),X0),X1)),f5(f7(X2,X1),f18(f20(f22(f24(c45,c37),X2),X0),X1)))|~p4(f5(f7(X2,f26(f28(c43,c37),X2)),f30(f32(c42,c37),X2)),f5(f7(X2,f26(f28(c44,c37),X2)),f30(f32(c42,c37),X2))))),
% 0.07/0.36 inference(resolution,[status(thm)],[f162,f81])).
% 0.07/0.36 fof(f359,plain,(
% 0.07/0.36 spl0_0 <=> p2(X0,X1)|~p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))|~p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))),
% 0.07/0.36 introduced(split_symbol_definition)).
% 0.07/0.36 fof(f360,plain,(
% 0.07/0.36 ![X0,X1]: (p2(X0,X1)|~p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))|~p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))|~spl0_0)),
% 0.07/0.36 inference(component_clause,[status(thm)],[f359])).
% 0.07/0.36 fof(f362,plain,(
% 0.07/0.36 spl0_1 <=> p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))),
% 0.07/0.36 introduced(split_symbol_definition)).
% 0.07/0.36 fof(f365,plain,(
% 0.07/0.36 ![X0,X1]: (p2(X0,X1)|~p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))|~p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))|~p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))))),
% 0.07/0.36 inference(resolution,[status(thm)],[f284,f154])).
% 0.07/0.36 fof(f366,plain,(
% 0.07/0.36 spl0_0|~spl0_1),
% 0.07/0.36 inference(split_clause,[status(thm)],[f365,f359,f362])).
% 0.07/0.36 fof(f367,plain,(
% 0.07/0.36 spl0_2 <=> p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))),
% 0.07/0.36 introduced(split_symbol_definition)).
% 0.07/0.36 fof(f368,plain,(
% 0.07/0.36 p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))|~spl0_2),
% 0.07/0.36 inference(component_clause,[status(thm)],[f367])).
% 0.07/0.36 fof(f370,plain,(
% 0.07/0.36 ![X0,X1]: (p2(X0,X1)|~p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))|~p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))|p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)))),
% 0.07/0.36 inference(resolution,[status(thm)],[f284,f153])).
% 0.07/0.36 fof(f371,plain,(
% 0.07/0.36 spl0_0|spl0_2),
% 0.07/0.36 inference(split_clause,[status(thm)],[f370,f359,f367])).
% 0.07/0.36 fof(f377,plain,(
% 0.07/0.36 spl0_3 <=> p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))),
% 0.07/0.36 introduced(split_symbol_definition)).
% 0.07/0.36 fof(f379,plain,(
% 0.07/0.36 ~p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))|spl0_3),
% 0.07/0.36 inference(component_clause,[status(thm)],[f377])).
% 0.07/0.36 fof(f380,plain,(
% 0.07/0.36 spl0_4 <=> p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))),
% 0.07/0.36 introduced(split_symbol_definition)).
% 0.07/0.36 fof(f382,plain,(
% 0.07/0.36 ~p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))|spl0_4),
% 0.07/0.36 inference(component_clause,[status(thm)],[f380])).
% 0.07/0.37 fof(f383,plain,(
% 0.07/0.37 ~p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))|~p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))|~spl0_0),
% 0.07/0.37 inference(resolution,[status(thm)],[f360,f82])).
% 0.07/0.37 fof(f384,plain,(
% 0.07/0.37 ~spl0_3|~spl0_4|~spl0_0),
% 0.07/0.37 inference(split_clause,[status(thm)],[f383,f377,f380,f359])).
% 0.07/0.37 fof(f391,plain,(
% 0.07/0.37 $false|spl0_3),
% 0.07/0.37 inference(forward_subsumption_resolution,[status(thm)],[f379,f84])).
% 0.07/0.37 fof(f392,plain,(
% 0.07/0.37 spl0_3),
% 0.07/0.37 inference(contradiction_clause,[status(thm)],[f391])).
% 0.07/0.37 fof(f393,plain,(
% 0.07/0.37 $false|spl0_4),
% 0.07/0.37 inference(forward_subsumption_resolution,[status(thm)],[f382,f83])).
% 0.07/0.37 fof(f394,plain,(
% 0.07/0.37 spl0_4),
% 0.07/0.37 inference(contradiction_clause,[status(thm)],[f393])).
% 0.07/0.37 fof(f395,plain,(
% 0.07/0.37 spl0_5 <=> p34(c36,c37)),
% 0.07/0.37 introduced(split_symbol_definition)).
% 0.07/0.37 fof(f397,plain,(
% 0.07/0.37 ~p34(c36,c37)|spl0_5),
% 0.07/0.37 inference(component_clause,[status(thm)],[f395])).
% 0.07/0.37 fof(f398,plain,(
% 0.07/0.37 ![X0,X1]: (p2(X0,X1)|p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))|~p34(c36,c37)|~p4(f5(X0,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X0),f18(f20(f22(f24(c45,c37),c39),X0),X1)))|~p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X0),X1)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X0),X1)))|~spl0_2)),
% 0.07/0.37 inference(resolution,[status(thm)],[f368,f160])).
% 0.07/0.37 fof(f399,plain,(
% 0.07/0.37 spl0_0|spl0_1|~spl0_5|~spl0_2),
% 0.07/0.37 inference(split_clause,[status(thm)],[f398,f359,f362,f395,f367])).
% 0.07/0.37 fof(f401,plain,(
% 0.07/0.37 $false|spl0_5),
% 0.07/0.37 inference(forward_subsumption_resolution,[status(thm)],[f397,f81])).
% 0.07/0.37 fof(f402,plain,(
% 0.07/0.37 spl0_5),
% 0.07/0.37 inference(contradiction_clause,[status(thm)],[f401])).
% 0.07/0.37 fof(f403,plain,(
% 0.07/0.37 $false),
% 0.07/0.37 inference(sat_refutation,[status(thm)],[f366,f371,f384,f392,f394,f399,f402])).
% 0.07/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.37 % Elapsed time: 0.018264 seconds
% 0.07/0.37 % CPU time: 0.078188 seconds
% 0.07/0.37 % Total memory used: 5.440 MB
% 0.07/0.37 % Net memory used: 5.377 MB
%------------------------------------------------------------------------------