TSTP Solution File: SYN615-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN615-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:47:14 EDT 2023
% Result : Unsatisfiable 1.58s 0.63s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYN615-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n031.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 10:47:07 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 1.58/0.63 % Refutation found
% 1.58/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.58/0.63 % SZS output start CNFRefutation for theBenchmark
% 1.58/0.63 fof(f2,negated_conjecture,(
% 1.58/0.63 (![X43]: (p7(X43,X43) ))),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f5,negated_conjecture,(
% 1.58/0.63 p2(c26,f3(c22)) ),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f7,negated_conjecture,(
% 1.58/0.63 p19(c23,f3(f4(f5(c22)))) ),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f8,negated_conjecture,(
% 1.58/0.63 p20(c24,f6(f3(f4(f5(c22))),c21)) ),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f14,negated_conjecture,(
% 1.58/0.63 p2(c26,f14(f16(c28,f17(c21,c27)),c25)) ),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f16,negated_conjecture,(
% 1.58/0.63 (![X44,X45,X43]: (( p7(X44,X45)| ~ p7(X43,X44)| ~ p7(X43,X45) ) ))),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f17,negated_conjecture,(
% 1.58/0.63 (![X19,X20,X18]: (( p2(X19,X20)| ~ p2(X18,X19)| ~ p2(X18,X20) ) ))),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f23,negated_conjecture,(
% 1.58/0.63 (![X54,X55,X56,X57]: (( p7(f8(X54,X55),f8(X56,X57))| ~ p7(X54,X56)| ~ p7(X55,X57) ) ))),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f24,negated_conjecture,(
% 1.58/0.63 (![X46,X47,X48,X49]: (( p7(f10(X46,X47),f10(X48,X49))| ~ p2(X47,X49)| ~ p7(X46,X48) ) ))),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f29,negated_conjecture,(
% 1.58/0.63 p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))) ),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f30,negated_conjecture,(
% 1.58/0.63 (![X62,X63]: (( ~ p19(X62,f3(f4(f5(c22))))| ~ p20(X63,f6(f3(f4(f5(c22))),c21))| ~ p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))| ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X62),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X63),f10(f11(f3(f4(f5(c22)))),c27))))) ) ))),
% 1.58/0.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 1.58/0.63 fof(f33,plain,(
% 1.58/0.63 ![X0]: (p7(X0,X0))),
% 1.58/0.63 inference(cnf_transformation,[status(esa)],[f2])).
% 1.58/0.63 fof(f36,plain,(
% 1.58/0.63 p2(c26,f3(c22))),
% 1.58/0.63 inference(cnf_transformation,[status(esa)],[f5])).
% 1.58/0.63 fof(f38,plain,(
% 1.58/0.63 p19(c23,f3(f4(f5(c22))))),
% 1.58/0.63 inference(cnf_transformation,[status(esa)],[f7])).
% 1.58/0.63 fof(f39,plain,(
% 1.58/0.63 p20(c24,f6(f3(f4(f5(c22))),c21))),
% 1.58/0.63 inference(cnf_transformation,[status(esa)],[f8])).
% 1.58/0.63 fof(f45,plain,(
% 1.58/0.63 p2(c26,f14(f16(c28,f17(c21,c27)),c25))),
% 1.58/0.63 inference(cnf_transformation,[status(esa)],[f14])).
% 1.58/0.63 fof(f48,plain,(
% 1.58/0.63 ![X45,X43]: ((![X44]: (p7(X44,X45)|~p7(X43,X44)))|~p7(X43,X45))),
% 1.58/0.63 inference(miniscoping,[status(esa)],[f16])).
% 1.58/0.63 fof(f49,plain,(
% 1.58/0.63 ![X0,X1,X2]: (p7(X0,X1)|~p7(X2,X0)|~p7(X2,X1))),
% 1.58/0.63 inference(cnf_transformation,[status(esa)],[f48])).
% 1.58/0.63 fof(f50,plain,(
% 1.58/0.63 ![X20,X18]: ((![X19]: (p2(X19,X20)|~p2(X18,X19)))|~p2(X18,X20))),
% 1.58/0.63 inference(miniscoping,[status(esa)],[f17])).
% 1.58/0.63 fof(f51,plain,(
% 1.58/0.63 ![X0,X1,X2]: (p2(X0,X1)|~p2(X2,X0)|~p2(X2,X1))),
% 1.58/0.63 inference(cnf_transformation,[status(esa)],[f50])).
% 1.58/0.63 fof(f62,plain,(
% 1.58/0.63 ![X55,X57]: ((![X54,X56]: (p7(f8(X54,X55),f8(X56,X57))|~p7(X54,X56)))|~p7(X55,X57))),
% 1.58/0.63 inference(miniscoping,[status(esa)],[f23])).
% 1.58/0.63 fof(f63,plain,(
% 1.58/0.63 ![X0,X1,X2,X3]: (p7(f8(X0,X1),f8(X2,X3))|~p7(X0,X2)|~p7(X1,X3))),
% 1.58/0.63 inference(cnf_transformation,[status(esa)],[f62])).
% 1.58/0.63 fof(f64,plain,(
% 1.58/0.63 ![X46,X48]: ((![X47,X49]: (p7(f10(X46,X47),f10(X48,X49))|~p2(X47,X49)))|~p7(X46,X48))),
% 1.58/0.63 inference(miniscoping,[status(esa)],[f24])).
% 1.58/0.63 fof(f65,plain,(
% 1.58/0.63 ![X0,X1,X2,X3]: (p7(f10(X0,X1),f10(X2,X3))|~p2(X1,X3)|~p7(X0,X2))),
% 1.58/0.63 inference(cnf_transformation,[status(esa)],[f64])).
% 1.58/0.63 fof(f74,plain,(
% 1.58/0.63 p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))),
% 1.58/0.63 inference(cnf_transformation,[status(esa)],[f29])).
% 1.58/0.63 fof(f75,plain,(
% 1.58/0.63 ![X0,X1]: (~p19(X0,f3(f4(f5(c22))))|~p20(X1,f6(f3(f4(f5(c22))),c21))|~p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))|~p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27))))))),
% 2.06/0.64 inference(cnf_transformation,[status(esa)],[f30])).
% 2.06/0.64 fof(f77,plain,(
% 2.06/0.64 spl0_0 <=> ~p19(X0,f3(f4(f5(c22))))|~p20(X1,f6(f3(f4(f5(c22))),c21))|~p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))),
% 2.06/0.64 introduced(split_symbol_definition)).
% 2.06/0.64 fof(f78,plain,(
% 2.06/0.64 ![X0,X1]: (~p19(X0,f3(f4(f5(c22))))|~p20(X1,f6(f3(f4(f5(c22))),c21))|~p7(c25,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))|~spl0_0)),
% 2.06/0.64 inference(component_clause,[status(thm)],[f77])).
% 2.06/0.64 fof(f80,plain,(
% 2.06/0.64 spl0_1 <=> p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))),
% 2.06/0.64 introduced(split_symbol_definition)).
% 2.06/0.64 fof(f82,plain,(
% 2.06/0.64 ~p2(f14(f16(c28,f17(c21,c27)),c25),f3(c22))|spl0_1),
% 2.06/0.64 inference(component_clause,[status(thm)],[f80])).
% 2.06/0.64 fof(f83,plain,(
% 2.06/0.64 spl0_0|~spl0_1),
% 2.06/0.64 inference(split_clause,[status(thm)],[f75,f77,f80])).
% 2.06/0.64 fof(f91,plain,(
% 2.06/0.64 ![X0]: (~p2(X0,f14(f16(c28,f17(c21,c27)),c25))|~p2(X0,f3(c22))|spl0_1)),
% 2.06/0.64 inference(resolution,[status(thm)],[f82,f51])).
% 2.06/0.64 fof(f96,plain,(
% 2.06/0.64 ~p2(c26,f3(c22))|spl0_1),
% 2.06/0.64 inference(resolution,[status(thm)],[f91,f45])).
% 2.06/0.64 fof(f97,plain,(
% 2.06/0.64 $false|spl0_1),
% 2.06/0.64 inference(forward_subsumption_resolution,[status(thm)],[f96,f36])).
% 2.06/0.64 fof(f98,plain,(
% 2.06/0.64 spl0_1),
% 2.06/0.64 inference(contradiction_clause,[status(thm)],[f97])).
% 2.06/0.64 fof(f107,plain,(
% 2.06/0.64 ![X0,X1,X2]: (~p19(X0,f3(f4(f5(c22))))|~p20(X1,f6(f3(f4(f5(c22))),c21))|~p7(X2,c25)|~p7(X2,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(X1),f10(f11(f3(f4(f5(c22)))),c27)))))|~spl0_0)),
% 2.06/0.64 inference(resolution,[status(thm)],[f78,f49])).
% 2.06/0.64 fof(f128,plain,(
% 2.06/0.64 ![X0,X1]: (~p19(X0,f3(f4(f5(c22))))|~p7(X1,c25)|~p7(X1,f8(f10(f12(f11(f3(f5(c22)))),X0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~spl0_0)),
% 2.06/0.64 inference(resolution,[status(thm)],[f107,f39])).
% 2.06/0.64 fof(f130,plain,(
% 2.06/0.64 ![X0]: (~p7(X0,c25)|~p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~spl0_0)),
% 2.06/0.64 inference(resolution,[status(thm)],[f128,f38])).
% 2.06/0.64 fof(f154,plain,(
% 2.06/0.64 ![X0,X1]: (~p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~p7(X1,X0)|~p7(X1,c25)|~spl0_0)),
% 2.06/0.64 inference(resolution,[status(thm)],[f130,f49])).
% 2.06/0.64 fof(f168,plain,(
% 2.06/0.64 ![X0]: (~p7(X0,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~p7(c25,X0)|~spl0_0)),
% 2.06/0.64 inference(resolution,[status(thm)],[f154,f33])).
% 2.06/0.64 fof(f169,plain,(
% 2.06/0.64 ~p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))|~spl0_0),
% 2.06/0.64 inference(resolution,[status(thm)],[f168,f74])).
% 2.06/0.64 fof(f341,plain,(
% 2.06/0.64 spl0_11 <=> p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))),
% 2.06/0.64 introduced(split_symbol_definition)).
% 2.06/0.64 fof(f343,plain,(
% 2.06/0.64 ~p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))|spl0_11),
% 2.06/0.64 inference(component_clause,[status(thm)],[f341])).
% 2.06/0.64 fof(f344,plain,(
% 2.06/0.64 spl0_12 <=> p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
% 2.06/0.64 introduced(split_symbol_definition)).
% 2.06/0.64 fof(f346,plain,(
% 2.06/0.64 ~p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))|spl0_12),
% 2.06/0.64 inference(component_clause,[status(thm)],[f344])).
% 2.06/0.64 fof(f347,plain,(
% 2.06/0.64 ~p7(f10(f12(f11(f3(f5(c22)))),c23),f10(f12(f11(f3(f5(c22)))),c23))|~p7(f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))|~spl0_0),
% 2.06/0.64 inference(resolution,[status(thm)],[f169,f63])).
% 2.06/0.64 fof(f348,plain,(
% 2.06/0.64 ~spl0_11|~spl0_12|~spl0_0),
% 2.06/0.64 inference(split_clause,[status(thm)],[f347,f341,f344,f77])).
% 2.06/0.64 fof(f350,plain,(
% 2.06/0.64 $false|spl0_11),
% 2.06/0.64 inference(forward_subsumption_resolution,[status(thm)],[f343,f33])).
% 2.06/0.64 fof(f351,plain,(
% 2.06/0.64 spl0_11),
% 2.06/0.64 inference(contradiction_clause,[status(thm)],[f350])).
% 2.06/0.64 fof(f366,plain,(
% 2.06/0.64 spl0_15 <=> p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))),
% 2.06/0.64 introduced(split_symbol_definition)).
% 2.06/0.64 fof(f368,plain,(
% 2.06/0.64 ~p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))|spl0_15),
% 2.06/0.64 inference(component_clause,[status(thm)],[f366])).
% 2.06/0.64 fof(f369,plain,(
% 2.06/0.64 spl0_16 <=> p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),
% 2.06/0.64 introduced(split_symbol_definition)).
% 2.06/0.64 fof(f371,plain,(
% 2.06/0.64 ~p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))|spl0_16),
% 2.06/0.64 inference(component_clause,[status(thm)],[f369])).
% 2.06/0.64 fof(f372,plain,(
% 2.06/0.64 ~p7(f10(f11(f3(f4(f5(c22)))),c26),f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)))|~p7(f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))|spl0_12),
% 2.06/0.64 inference(resolution,[status(thm)],[f346,f63])).
% 2.06/0.64 fof(f373,plain,(
% 2.06/0.64 ~spl0_15|~spl0_16|spl0_12),
% 2.06/0.64 inference(split_clause,[status(thm)],[f372,f366,f369,f344])).
% 2.06/0.64 fof(f375,plain,(
% 2.06/0.64 spl0_17 <=> p2(c26,f14(f16(c28,f17(c21,c27)),c25))),
% 2.06/0.64 introduced(split_symbol_definition)).
% 2.06/0.64 fof(f377,plain,(
% 2.06/0.64 ~p2(c26,f14(f16(c28,f17(c21,c27)),c25))|spl0_17),
% 2.06/0.64 inference(component_clause,[status(thm)],[f375])).
% 2.06/0.64 fof(f378,plain,(
% 2.06/0.64 spl0_18 <=> p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))),
% 2.06/0.64 introduced(split_symbol_definition)).
% 2.06/0.64 fof(f380,plain,(
% 2.06/0.64 ~p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))|spl0_18),
% 2.06/0.64 inference(component_clause,[status(thm)],[f378])).
% 2.06/0.64 fof(f381,plain,(
% 2.06/0.64 ~p2(c26,f14(f16(c28,f17(c21,c27)),c25))|~p7(f11(f3(f4(f5(c22)))),f11(f3(f4(f5(c22)))))|spl0_15),
% 2.06/0.64 inference(resolution,[status(thm)],[f368,f65])).
% 2.06/0.64 fof(f382,plain,(
% 2.06/0.64 ~spl0_17|~spl0_18|spl0_15),
% 2.06/0.64 inference(split_clause,[status(thm)],[f381,f375,f378,f366])).
% 2.06/0.64 fof(f384,plain,(
% 2.06/0.64 $false|spl0_16),
% 2.06/0.64 inference(forward_subsumption_resolution,[status(thm)],[f371,f33])).
% 2.06/0.64 fof(f385,plain,(
% 2.06/0.64 spl0_16),
% 2.06/0.64 inference(contradiction_clause,[status(thm)],[f384])).
% 2.06/0.64 fof(f386,plain,(
% 2.06/0.64 $false|spl0_17),
% 2.06/0.64 inference(forward_subsumption_resolution,[status(thm)],[f377,f45])).
% 2.06/0.64 fof(f387,plain,(
% 2.06/0.64 spl0_17),
% 2.06/0.64 inference(contradiction_clause,[status(thm)],[f386])).
% 2.06/0.64 fof(f388,plain,(
% 2.06/0.64 $false|spl0_18),
% 2.06/0.64 inference(forward_subsumption_resolution,[status(thm)],[f380,f33])).
% 2.06/0.64 fof(f389,plain,(
% 2.06/0.64 spl0_18),
% 2.06/0.64 inference(contradiction_clause,[status(thm)],[f388])).
% 2.06/0.64 fof(f390,plain,(
% 2.06/0.64 $false),
% 2.06/0.64 inference(sat_refutation,[status(thm)],[f83,f98,f348,f351,f373,f382,f385,f387,f389])).
% 2.06/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 2.06/0.65 % Elapsed time: 0.357461 seconds
% 2.06/0.65 % CPU time: 2.183085 seconds
% 2.06/0.65 % Memory used: 57.454 MB
%------------------------------------------------------------------------------