TSTP Solution File: SYN644-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN644-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:52:44 EDT 2024
% Result : Unsatisfiable 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN644-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:01:18 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.21/0.51 % Refutation found
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.51 fof(f1,negated_conjecture,(
% 0.21/0.51 (![X0]: (p12(X0,X0) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f7,negated_conjecture,(
% 0.21/0.51 p22(f3(f4(f5(c26))),c27) ),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f9,negated_conjecture,(
% 0.21/0.51 p24(f17(f10(c29,f11(c27,c30)),c28)) ),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f10,negated_conjecture,(
% 0.21/0.51 p23(c28,f8(f10(c29,f11(c27,c30)))) ),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f17,negated_conjecture,(
% 0.21/0.51 (![X1,X2,X0]: (( p12(X1,X2)| ~ p12(X0,X1)| ~ p12(X0,X2) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f23,negated_conjecture,(
% 0.21/0.51 ~ p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31)) ),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f25,negated_conjecture,(
% 0.21/0.51 (![X66,X67,X69,X68]: (( p25(X66,X67)| ~ p12(X69,X67)| ~ p25(X68,X69)| ~ p12(X68,X66) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f33,negated_conjecture,(
% 0.21/0.51 p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31)))) ),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f37,negated_conjecture,(
% 0.21/0.51 (![X7,X4,X5,X6,X3]: (( p25(f13(f14(X7,f16(f10(X4,f11(X5,X6)),c32,X7))),f13(f14(X7,X3)))| ~ p22(f3(f4(f5(c26))),X5)| ~ p23(X3,f8(f10(X4,f11(X5,X6)))) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f39,negated_conjecture,(
% 0.21/0.51 (![X3,X4,X5,X6,X7]: (( p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7))| p23(f21(X4,X5,X6,X7,X3),f8(f10(X4,f11(X5,X6))))| ~ p22(f3(f4(f5(c26))),X5)| ~ p24(f17(f10(X4,f11(X5,X6)),X3))| ~ p23(X3,f8(f10(X4,f11(X5,X6)))) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f40,negated_conjecture,(
% 0.21/0.51 (![X3,X4,X5,X6,X7]: (( p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7))| ~ p22(f3(f4(f5(c26))),X5)| ~ p24(f17(f10(X4,f11(X5,X6)),X3))| ~ p23(X3,f8(f10(X4,f11(X5,X6))))| ~ p25(f13(f14(X7,X3)),f13(f14(X7,f21(X4,X5,X6,X7,X3)))) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f43,plain,(
% 0.21/0.51 ![X0]: (p12(X0,X0))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f1])).
% 0.21/0.51 fof(f49,plain,(
% 0.21/0.51 p22(f3(f4(f5(c26))),c27)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f7])).
% 0.21/0.51 fof(f51,plain,(
% 0.21/0.51 p24(f17(f10(c29,f11(c27,c30)),c28))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.51 fof(f52,plain,(
% 0.21/0.51 p23(c28,f8(f10(c29,f11(c27,c30))))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f10])).
% 0.21/0.51 fof(f59,plain,(
% 0.21/0.51 ![X2,X0]: ((![X1]: (p12(X1,X2)|~p12(X0,X1)))|~p12(X0,X2))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f17])).
% 0.21/0.51 fof(f60,plain,(
% 0.21/0.51 ![X0,X1,X2]: (p12(X0,X1)|~p12(X2,X0)|~p12(X2,X1))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f59])).
% 0.21/0.51 fof(f71,plain,(
% 0.21/0.51 ~p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f23])).
% 0.21/0.51 fof(f74,plain,(
% 0.21/0.51 ![X66,X68]: ((![X69]: ((![X67]: (p25(X66,X67)|~p12(X69,X67)))|~p25(X68,X69)))|~p12(X68,X66))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f25])).
% 0.21/0.51 fof(f75,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (p25(X0,X1)|~p12(X2,X1)|~p25(X3,X2)|~p12(X3,X0))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f74])).
% 0.21/0.51 fof(f90,plain,(
% 0.21/0.51 p12(f13(f14(c31,c28)),f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f33])).
% 0.21/0.51 fof(f97,plain,(
% 0.21/0.51 ![X4,X5,X6,X3]: (((![X7]: p25(f13(f14(X7,f16(f10(X4,f11(X5,X6)),c32,X7))),f13(f14(X7,X3))))|~p22(f3(f4(f5(c26))),X5))|~p23(X3,f8(f10(X4,f11(X5,X6)))))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f37])).
% 0.21/0.51 fof(f98,plain,(
% 0.21/0.51 ![X0,X1,X2,X3,X4]: (p25(f13(f14(X0,f16(f10(X1,f11(X2,X3)),c32,X0))),f13(f14(X0,X4)))|~p22(f3(f4(f5(c26))),X2)|~p23(X4,f8(f10(X1,f11(X2,X3)))))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f97])).
% 0.21/0.51 fof(f101,plain,(
% 0.21/0.51 ![X3,X4,X5,X6]: ((((![X7]: (p12(X3,f16(f10(X4,f11(X5,X6)),c32,X7))|p23(f21(X4,X5,X6,X7,X3),f8(f10(X4,f11(X5,X6))))))|~p22(f3(f4(f5(c26))),X5))|~p24(f17(f10(X4,f11(X5,X6)),X3)))|~p23(X3,f8(f10(X4,f11(X5,X6)))))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f39])).
% 0.21/0.51 fof(f102,plain,(
% 0.21/0.52 ![X0,X1,X2,X3,X4]: (p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4))|p23(f21(X1,X2,X3,X4,X0),f8(f10(X1,f11(X2,X3))))|~p22(f3(f4(f5(c26))),X2)|~p24(f17(f10(X1,f11(X2,X3)),X0))|~p23(X0,f8(f10(X1,f11(X2,X3)))))),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f101])).
% 0.21/0.52 fof(f103,plain,(
% 0.21/0.52 ![X0,X1,X2,X3,X4]: (p12(X0,f16(f10(X1,f11(X2,X3)),c32,X4))|~p22(f3(f4(f5(c26))),X2)|~p24(f17(f10(X1,f11(X2,X3)),X0))|~p23(X0,f8(f10(X1,f11(X2,X3))))|~p25(f13(f14(X4,X0)),f13(f14(X4,f21(X1,X2,X3,X4,X0)))))),
% 0.21/0.52 inference(cnf_transformation,[status(esa)],[f40])).
% 0.21/0.52 fof(f115,plain,(
% 0.21/0.52 ![X0,X1,X2]: (p25(X0,X1)|~p25(X2,X1)|~p12(X2,X0))),
% 0.21/0.52 inference(resolution,[status(thm)],[f75,f43])).
% 0.21/0.52 fof(f137,plain,(
% 0.21/0.52 ![X0]: (p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),X0)|~p12(f13(f14(c31,c28)),X0))),
% 0.21/0.52 inference(resolution,[status(thm)],[f90,f60])).
% 0.21/0.52 fof(f153,plain,(
% 0.21/0.52 spl0_1 <=> p22(f3(f4(f5(c26))),c27)),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f155,plain,(
% 0.21/0.52 ~p22(f3(f4(f5(c26))),c27)|spl0_1),
% 0.21/0.52 inference(component_clause,[status(thm)],[f153])).
% 0.21/0.52 fof(f163,plain,(
% 0.21/0.52 $false|spl0_1),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f155,f49])).
% 0.21/0.52 fof(f164,plain,(
% 0.21/0.52 spl0_1),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f163])).
% 0.21/0.52 fof(f176,plain,(
% 0.21/0.52 p12(f13(f14(c31,f16(f10(c29,f11(c27,c30)),c32,c31))),f13(f14(c31,c28)))),
% 0.21/0.52 inference(resolution,[status(thm)],[f137,f43])).
% 0.21/0.52 fof(f217,plain,(
% 0.21/0.52 spl0_4 <=> p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f218,plain,(
% 0.21/0.52 ![X0]: (p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))|~spl0_4)),
% 0.21/0.52 inference(component_clause,[status(thm)],[f217])).
% 0.21/0.52 fof(f220,plain,(
% 0.21/0.52 spl0_5 <=> p24(f17(f10(c29,f11(c27,c30)),c28))),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f222,plain,(
% 0.21/0.52 ~p24(f17(f10(c29,f11(c27,c30)),c28))|spl0_5),
% 0.21/0.52 inference(component_clause,[status(thm)],[f220])).
% 0.21/0.52 fof(f223,plain,(
% 0.21/0.52 ![X0]: (p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p23(f21(c29,c27,c30,X0,c28),f8(f10(c29,f11(c27,c30))))|~p22(f3(f4(f5(c26))),c27)|~p24(f17(f10(c29,f11(c27,c30)),c28)))),
% 0.21/0.52 inference(resolution,[status(thm)],[f102,f52])).
% 0.21/0.52 fof(f224,plain,(
% 0.21/0.52 spl0_4|~spl0_1|~spl0_5),
% 0.21/0.52 inference(split_clause,[status(thm)],[f223,f217,f153,f220])).
% 0.21/0.52 fof(f225,plain,(
% 0.21/0.52 $false|spl0_5),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f222,f51])).
% 0.21/0.52 fof(f226,plain,(
% 0.21/0.52 spl0_5),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f225])).
% 0.21/0.52 fof(f232,plain,(
% 0.21/0.52 spl0_7 <=> p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p25(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),f13(f14(X1,f21(c29,c27,c30,X0,c28))))),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f233,plain,(
% 0.21/0.52 ![X0,X1]: (p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p25(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),f13(f14(X1,f21(c29,c27,c30,X0,c28))))|~spl0_7)),
% 0.21/0.52 inference(component_clause,[status(thm)],[f232])).
% 0.21/0.52 fof(f235,plain,(
% 0.21/0.52 ![X0,X1]: (p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p25(f13(f14(X1,f16(f10(c29,f11(c27,c30)),c32,X1))),f13(f14(X1,f21(c29,c27,c30,X0,c28))))|~p22(f3(f4(f5(c26))),c27)|~spl0_4)),
% 0.21/0.52 inference(resolution,[status(thm)],[f218,f98])).
% 0.21/0.52 fof(f236,plain,(
% 0.21/0.52 spl0_7|~spl0_1|~spl0_4),
% 0.21/0.52 inference(split_clause,[status(thm)],[f235,f232,f153,f217])).
% 0.21/0.52 fof(f549,plain,(
% 0.21/0.52 ![X0,X1,X2]: (p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p25(X1,f13(f14(X2,f21(c29,c27,c30,X0,c28))))|~p12(f13(f14(X2,f16(f10(c29,f11(c27,c30)),c32,X2))),X1)|~spl0_7)),
% 0.21/0.52 inference(resolution,[status(thm)],[f233,f115])).
% 0.21/0.52 fof(f550,plain,(
% 0.21/0.52 ![X0]: (p12(c28,f16(f10(c29,f11(c27,c30)),c32,X0))|p25(f13(f14(c31,c28)),f13(f14(c31,f21(c29,c27,c30,X0,c28))))|~spl0_7)),
% 0.21/0.52 inference(resolution,[status(thm)],[f549,f176])).
% 0.21/0.52 fof(f552,plain,(
% 0.21/0.52 spl0_11 <=> p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f553,plain,(
% 0.21/0.52 p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))|~spl0_11),
% 0.21/0.52 inference(component_clause,[status(thm)],[f552])).
% 0.21/0.52 fof(f558,plain,(
% 0.21/0.52 spl0_13 <=> p23(c28,f8(f10(c29,f11(c27,c30))))),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f560,plain,(
% 0.21/0.52 ~p23(c28,f8(f10(c29,f11(c27,c30))))|spl0_13),
% 0.21/0.53 inference(component_clause,[status(thm)],[f558])).
% 0.21/0.53 fof(f563,plain,(
% 0.21/0.53 p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))|p12(c28,f16(f10(c29,f11(c27,c30)),c32,c31))|~p22(f3(f4(f5(c26))),c27)|~p24(f17(f10(c29,f11(c27,c30)),c28))|~p23(c28,f8(f10(c29,f11(c27,c30))))|~spl0_7),
% 0.21/0.53 inference(resolution,[status(thm)],[f550,f103])).
% 0.21/0.53 fof(f564,plain,(
% 0.21/0.53 spl0_11|~spl0_1|~spl0_5|~spl0_13|~spl0_7),
% 0.21/0.53 inference(split_clause,[status(thm)],[f563,f552,f153,f220,f558,f232])).
% 0.21/0.53 fof(f566,plain,(
% 0.21/0.53 $false|spl0_13),
% 0.21/0.53 inference(forward_subsumption_resolution,[status(thm)],[f560,f52])).
% 0.21/0.53 fof(f567,plain,(
% 0.21/0.53 spl0_13),
% 0.21/0.53 inference(contradiction_clause,[status(thm)],[f566])).
% 0.21/0.53 fof(f568,plain,(
% 0.21/0.53 $false|~spl0_11),
% 0.21/0.53 inference(forward_subsumption_resolution,[status(thm)],[f553,f71])).
% 0.21/0.53 fof(f569,plain,(
% 0.21/0.53 ~spl0_11),
% 0.21/0.53 inference(contradiction_clause,[status(thm)],[f568])).
% 0.21/0.53 fof(f570,plain,(
% 0.21/0.53 $false),
% 0.21/0.53 inference(sat_refutation,[status(thm)],[f164,f224,f226,f236,f564,f567,f569])).
% 0.21/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.53 % Elapsed time: 0.178219 seconds
% 0.21/0.53 % CPU time: 1.279338 seconds
% 0.21/0.53 % Total memory used: 22.948 MB
% 0.21/0.53 % Net memory used: 22.524 MB
%------------------------------------------------------------------------------