TSTP Solution File: SYN039-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN039-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed May 31 12:45:45 EDT 2023
% Result : Unsatisfiable 0.07s 0.30s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SYN039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.29 % Computer : n003.cluster.edu
% 0.07/0.29 % Model : x86_64 x86_64
% 0.07/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.29 % Memory : 8042.1875MB
% 0.07/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.29 % CPULimit : 300
% 0.07/0.29 % WCLimit : 300
% 0.07/0.29 % DateTime : Tue May 30 10:26:53 EDT 2023
% 0.07/0.29 % CPUTime :
% 0.07/0.29 % Drodi V3.5.1
% 0.07/0.30 % Refutation found
% 0.07/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.30 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.30 fof(f3,negated_conjecture,(
% 0.07/0.30 (![X,X1]: (( p(f1(X,X1),f1(X,X1))| ~ s(X,f1(X,X1))| ~ s(X1,X1) ) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f5,negated_conjecture,(
% 0.07/0.30 (![X,X1,Z,Z1]: (( p(f1(X,X1),f1(X,X1))| s(f1(X,X1),Z)| q(f1(X,X1),Z1) ) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f6,negated_conjecture,(
% 0.07/0.30 (![X,X1,Z]: (( p(f1(X,X1),f1(X,X1))| s(f1(X,X1),Z)| ~ s(X1,X1) ) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f12,negated_conjecture,(
% 0.07/0.30 (![X,X1]: (( ~ p(X,X)| ~ s(X,f1(X,X1))| ~ s(X1,X1) ) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f14,negated_conjecture,(
% 0.07/0.30 (![X,X1,Z,Z1]: (( ~ p(X,X)| s(f1(X,X1),Z)| q(f1(X,X1),Z1) ) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f15,negated_conjecture,(
% 0.07/0.30 (![X,X1,Z]: (( ~ p(X,X)| s(f1(X,X1),Z)| ~ s(X1,X1) ) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f18,negated_conjecture,(
% 0.07/0.30 (![X,Z1,X1]: (( ~ p(X,X)| ~ q(Z1,Z1)| ~ s(X1,X1) ) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f21,negated_conjecture,(
% 0.07/0.30 (![Z,X,X1]: (( s(Z,X)| ~ s(X,f1(X,X1))| ~ s(X1,X1) ) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f25,negated_conjecture,(
% 0.07/0.30 (![Z,X,Z1,X1]: (( s(Z,X)| ~ q(Z1,Z1)| ~ q(X1,f1(X,X1)) ) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f27,negated_conjecture,(
% 0.07/0.30 (![Z,X,Z1,X1]: (( s(Z,X)| ~ q(Z1,Z1)| ~ s(X1,X1) ) ))),
% 0.07/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/0.30 fof(f31,plain,(
% 0.07/0.30 ![X1]: ((![X]: (p(f1(X,X1),f1(X,X1))|~s(X,f1(X,X1))))|~s(X1,X1))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f3])).
% 0.07/0.30 fof(f32,plain,(
% 0.07/0.30 ![X0,X1]: (p(f1(X0,X1),f1(X0,X1))|~s(X0,f1(X0,X1))|~s(X1,X1))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f31])).
% 0.07/0.30 fof(f35,plain,(
% 0.07/0.30 ![X,X1]: ((p(f1(X,X1),f1(X,X1))|(![Z]: s(f1(X,X1),Z)))|(![Z1]: q(f1(X,X1),Z1)))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f5])).
% 0.07/0.30 fof(f36,plain,(
% 0.07/0.30 ![X0,X1,X2,X3]: (p(f1(X0,X1),f1(X0,X1))|s(f1(X0,X1),X2)|q(f1(X0,X1),X3))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f35])).
% 0.07/0.30 fof(f37,plain,(
% 0.07/0.30 ![X1]: ((![X]: (p(f1(X,X1),f1(X,X1))|(![Z]: s(f1(X,X1),Z))))|~s(X1,X1))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f6])).
% 0.07/0.30 fof(f38,plain,(
% 0.07/0.30 ![X0,X1,X2]: (p(f1(X0,X1),f1(X0,X1))|s(f1(X0,X1),X2)|~s(X1,X1))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f37])).
% 0.07/0.30 fof(f47,plain,(
% 0.07/0.30 ![X1]: ((![X]: (~p(X,X)|~s(X,f1(X,X1))))|~s(X1,X1))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f12])).
% 0.07/0.30 fof(f48,plain,(
% 0.07/0.30 ![X0,X1]: (~p(X0,X0)|~s(X0,f1(X0,X1))|~s(X1,X1))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f47])).
% 0.07/0.30 fof(f51,plain,(
% 0.07/0.30 ![X,X1]: ((~p(X,X)|(![Z]: s(f1(X,X1),Z)))|(![Z1]: q(f1(X,X1),Z1)))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f14])).
% 0.07/0.30 fof(f52,plain,(
% 0.07/0.30 ![X0,X1,X2,X3]: (~p(X0,X0)|s(f1(X0,X1),X2)|q(f1(X0,X1),X3))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f51])).
% 0.07/0.30 fof(f53,plain,(
% 0.07/0.30 ![X1]: ((![X]: (~p(X,X)|(![Z]: s(f1(X,X1),Z))))|~s(X1,X1))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f15])).
% 0.07/0.30 fof(f54,plain,(
% 0.07/0.30 ![X0,X1,X2]: (~p(X0,X0)|s(f1(X0,X1),X2)|~s(X1,X1))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f53])).
% 0.07/0.30 fof(f59,plain,(
% 0.07/0.30 ((![X]: ~p(X,X))|(![Z1]: ~q(Z1,Z1)))|(![X1]: ~s(X1,X1))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f18])).
% 0.07/0.30 fof(f60,plain,(
% 0.07/0.30 ![X0,X1,X2]: (~p(X0,X0)|~q(X1,X1)|~s(X2,X2))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f59])).
% 0.07/0.30 fof(f65,plain,(
% 0.07/0.30 ![X1]: ((![X]: ((![Z]: s(Z,X))|~s(X,f1(X,X1))))|~s(X1,X1))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f21])).
% 0.07/0.30 fof(f66,plain,(
% 0.07/0.30 ![X0,X1,X2]: (s(X0,X1)|~s(X1,f1(X1,X2))|~s(X2,X2))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f65])).
% 0.07/0.30 fof(f73,plain,(
% 0.07/0.30 ![X]: (((![Z]: s(Z,X))|(![Z1]: ~q(Z1,Z1)))|(![X1]: ~q(X1,f1(X,X1))))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f25])).
% 0.07/0.30 fof(f74,plain,(
% 0.07/0.30 ![X0,X1,X2,X3]: (s(X0,X1)|~q(X2,X2)|~q(X3,f1(X1,X3)))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f73])).
% 0.07/0.30 fof(f77,plain,(
% 0.07/0.30 ((![Z,X]: s(Z,X))|(![Z1]: ~q(Z1,Z1)))|(![X1]: ~s(X1,X1))),
% 0.07/0.30 inference(miniscoping,[status(esa)],[f27])).
% 0.07/0.30 fof(f78,plain,(
% 0.07/0.30 ![X0,X1,X2,X3]: (s(X0,X1)|~q(X2,X2)|~s(X3,X3))),
% 0.07/0.30 inference(cnf_transformation,[status(esa)],[f77])).
% 0.07/0.30 fof(f82,plain,(
% 0.07/0.30 spl0_1 <=> ~q(X2,X2)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f83,plain,(
% 0.07/0.30 ![X0]: (~q(X0,X0)|~spl0_1)),
% 0.07/0.30 inference(component_clause,[status(thm)],[f82])).
% 0.07/0.30 fof(f94,plain,(
% 0.07/0.30 spl0_4 <=> ~p(X0,X0)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f95,plain,(
% 0.07/0.30 ![X0]: (~p(X0,X0)|~spl0_4)),
% 0.07/0.30 inference(component_clause,[status(thm)],[f94])).
% 0.07/0.30 fof(f97,plain,(
% 0.07/0.30 spl0_5 <=> ~s(X2,X2)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f98,plain,(
% 0.07/0.30 ![X0]: (~s(X0,X0)|~spl0_5)),
% 0.07/0.30 inference(component_clause,[status(thm)],[f97])).
% 0.07/0.30 fof(f100,plain,(
% 0.07/0.30 spl0_4|spl0_1|spl0_5),
% 0.07/0.30 inference(split_clause,[status(thm)],[f60,f94,f82,f97])).
% 0.07/0.30 fof(f101,plain,(
% 0.07/0.30 spl0_6 <=> s(X0,X1)|~q(X3,f1(X1,X3))),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f102,plain,(
% 0.07/0.30 ![X0,X1,X2]: (s(X0,X1)|~q(X2,f1(X1,X2))|~spl0_6)),
% 0.07/0.30 inference(component_clause,[status(thm)],[f101])).
% 0.07/0.30 fof(f104,plain,(
% 0.07/0.30 spl0_6|spl0_1),
% 0.07/0.30 inference(split_clause,[status(thm)],[f74,f101,f82])).
% 0.07/0.30 fof(f105,plain,(
% 0.07/0.30 spl0_7 <=> s(X0,X1)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f106,plain,(
% 0.07/0.30 ![X0,X1]: (s(X0,X1)|~spl0_7)),
% 0.07/0.30 inference(component_clause,[status(thm)],[f105])).
% 0.07/0.30 fof(f108,plain,(
% 0.07/0.30 spl0_7|spl0_1|spl0_5),
% 0.07/0.30 inference(split_clause,[status(thm)],[f78,f105,f82,f97])).
% 0.07/0.30 fof(f118,plain,(
% 0.07/0.30 ![X0,X1,X2]: (~s(X0,f1(X0,X1))|~s(X1,X1)|~s(f1(X0,X1),f1(f1(X0,X1),X2))|~s(X2,X2))),
% 0.07/0.30 inference(resolution,[status(thm)],[f32,f48])).
% 0.07/0.30 fof(f119,plain,(
% 0.07/0.30 ![X0,X1,X2]: (~s(X0,X0)|~s(f1(X1,X0),f1(f1(X1,X0),X2))|~s(X2,X2))),
% 0.07/0.30 inference(forward_subsumption_resolution,[status(thm)],[f118,f66])).
% 0.07/0.30 fof(f120,plain,(
% 0.07/0.30 spl0_8 <=> ~s(X0,X0)|p(f1(X2,X0),f1(X2,X0))|~s(X0,X0)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f121,plain,(
% 0.07/0.30 ![X0,X1]: (~s(X0,X0)|p(f1(X1,X0),f1(X1,X0))|~s(X0,X0)|~spl0_8)),
% 0.07/0.30 inference(component_clause,[status(thm)],[f120])).
% 0.07/0.30 fof(f123,plain,(
% 0.07/0.30 ![X0,X1,X2]: (~s(X0,X0)|~s(X1,X1)|p(f1(X2,X0),f1(X2,X0))|~s(X0,X0))),
% 0.07/0.30 inference(resolution,[status(thm)],[f119,f38])).
% 0.07/0.30 fof(f124,plain,(
% 0.07/0.30 spl0_8|spl0_5),
% 0.07/0.30 inference(split_clause,[status(thm)],[f123,f120,f97])).
% 0.07/0.30 fof(f133,plain,(
% 0.07/0.30 spl0_10 <=> ~s(X0,X0)|~s(X0,X0)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f134,plain,(
% 0.07/0.30 ![X0]: (~s(X0,X0)|~s(X0,X0)|~spl0_10)),
% 0.07/0.30 inference(component_clause,[status(thm)],[f133])).
% 0.07/0.30 fof(f136,plain,(
% 0.07/0.30 ![X0,X1,X2]: (~s(X0,X0)|~s(X1,X1)|~p(X2,X2)|~s(X0,X0))),
% 0.07/0.30 inference(resolution,[status(thm)],[f119,f54])).
% 0.07/0.30 fof(f137,plain,(
% 0.07/0.30 spl0_10|spl0_5|spl0_4),
% 0.07/0.30 inference(split_clause,[status(thm)],[f136,f133,f97,f94])).
% 0.07/0.30 fof(f141,plain,(
% 0.07/0.30 ![X0,X1,X2]: (~p(X0,X0)|q(f1(X0,X1),X2)|~spl0_5)),
% 0.07/0.30 inference(resolution,[status(thm)],[f98,f52])).
% 0.07/0.30 fof(f146,plain,(
% 0.07/0.30 ![X0,X1,X2,X3,X4,X5]: (s(f1(X0,X1),X2)|q(f1(X0,X1),X3)|q(f1(f1(X0,X1),X4),X5)|~spl0_5)),
% 0.07/0.30 inference(resolution,[status(thm)],[f36,f141])).
% 0.07/0.30 fof(f148,plain,(
% 0.07/0.30 ![X0,X1,X2,X3,X4]: (q(f1(X0,X1),X2)|q(f1(f1(X0,X1),X3),X4)|~spl0_5)),
% 0.07/0.30 inference(resolution,[status(thm)],[f146,f98])).
% 0.07/0.30 fof(f155,plain,(
% 0.07/0.30 ![X0,X1,X2,X3]: (q(f1(f1(X0,X1),X2),X3)|~spl0_5|~spl0_1)),
% 0.07/0.30 inference(resolution,[status(thm)],[f148,f83])).
% 0.07/0.30 fof(f161,plain,(
% 0.07/0.30 $false|~spl0_5|~spl0_1),
% 0.07/0.30 inference(resolution,[status(thm)],[f155,f83])).
% 0.07/0.30 fof(f162,plain,(
% 0.07/0.30 ~spl0_5|~spl0_1),
% 0.07/0.30 inference(contradiction_clause,[status(thm)],[f161])).
% 0.07/0.30 fof(f164,plain,(
% 0.07/0.30 spl0_11 <=> q(f1(f1(X0,X1),X2),X3)),
% 0.07/0.30 introduced(split_symbol_definition)).
% 0.07/0.30 fof(f165,plain,(
% 0.07/0.30 ![X0,X1,X2,X3]: (q(f1(f1(X0,X1),X2),X3)|~spl0_11)),
% 0.07/0.30 inference(component_clause,[status(thm)],[f164])).
% 0.07/0.30 fof(f167,plain,(
% 0.07/0.30 ![X0,X1,X2,X3,X4,X5]: (q(f1(f1(X0,X1),X2),X3)|s(X4,X5)|~spl0_5|~spl0_6)),
% 0.07/0.30 inference(resolution,[status(thm)],[f148,f102])).
% 0.07/0.30 fof(f168,plain,(
% 0.07/0.30 spl0_11|spl0_7|~spl0_5|~spl0_6),
% 0.07/0.30 inference(split_clause,[status(thm)],[f167,f164,f105,f97,f101])).
% 0.07/0.30 fof(f172,plain,(
% 0.07/0.30 ![X0,X1]: (~s(X0,X0)|p(f1(X1,X0),f1(X1,X0))|~spl0_8)),
% 0.07/0.30 inference(duplicate_literals_removal,[status(esa)],[f121])).
% 0.07/0.30 fof(f173,plain,(
% 0.07/0.30 ![X0,X1,X2,X3]: (s(f1(X0,X1),X2)|q(f1(X0,X1),X3)|~spl0_4)),
% 0.07/0.30 inference(backward_subsumption_resolution,[status(thm)],[f36,f95])).
% 0.07/0.30 fof(f174,plain,(
% 0.07/0.30 ![X0]: (~s(X0,X0)|~spl0_4|~spl0_8)),
% 0.07/0.30 inference(forward_subsumption_resolution,[status(thm)],[f172,f95])).
% 0.07/0.30 fof(f174,plain,(
% 0.07/0.30 ![X0]: (~s(X0,X0)|~spl0_4|~spl0_8)),
% 0.07/0.30 inference(forward_subsumption_resolution,[status(thm)],[f172,f95])).
% 0.07/0.30 fof(f176,plain,(
% 0.07/0.30 ![X0,X1,X2]: (s(f1(X0,X1),X2)|~spl0_4|~spl0_1)),
% 0.07/0.30 inference(resolution,[status(thm)],[f173,f83])).
% 0.07/0.30 fof(f177,plain,(
% 0.07/0.30 $false|~spl0_1|~spl0_4|~spl0_8),
% 0.07/0.30 inference(resolution,[status(thm)],[f176,f174])).
% 0.07/0.30 fof(f178,plain,(
% 0.07/0.30 ~spl0_1|~spl0_4|~spl0_8),
% 0.07/0.30 inference(contradiction_clause,[status(thm)],[f177])).
% 0.07/0.30 fof(f179,plain,(
% 0.07/0.30 ![X0]: (~s(X0,X0)|~spl0_10)),
% 0.07/0.30 inference(duplicate_literals_removal,[status(esa)],[f134])).
% 0.07/0.30 fof(f180,plain,(
% 0.07/0.30 ![X0,X1,X2]: (~p(X0,X0)|s(f1(X0,X1),X2)|~spl0_1)),
% 0.07/0.30 inference(resolution,[status(thm)],[f52,f83])).
% 0.07/0.30 fof(f182,plain,(
% 0.07/0.30 ![X0]: (~p(X0,X0)|~spl0_1|~spl0_10)),
% 0.07/0.30 inference(resolution,[status(thm)],[f180,f179])).
% 0.07/0.30 fof(f183,plain,(
% 0.07/0.30 spl0_4|~spl0_1|~spl0_10),
% 0.07/0.30 inference(split_clause,[status(thm)],[f182,f94,f82,f133])).
% 0.07/0.30 fof(f186,plain,(
% 0.07/0.30 $false|~spl0_7|~spl0_5),
% 0.07/0.30 inference(forward_subsumption_resolution,[status(thm)],[f98,f106])).
% 0.07/0.30 fof(f187,plain,(
% 0.07/0.30 ~spl0_7|~spl0_5),
% 0.07/0.30 inference(contradiction_clause,[status(thm)],[f186])).
% 0.07/0.30 fof(f188,plain,(
% 0.07/0.30 ![X0,X1]: (~q(X0,f1(X1,X0))|~spl0_6|~spl0_5)),
% 0.07/0.30 inference(resolution,[status(thm)],[f102,f98])).
% 0.07/0.30 fof(f189,plain,(
% 0.07/0.30 $false|~spl0_6|~spl0_5|~spl0_11),
% 0.07/0.30 inference(resolution,[status(thm)],[f188,f165])).
% 0.07/0.30 fof(f190,plain,(
% 0.07/0.30 ~spl0_6|~spl0_5|~spl0_11),
% 0.07/0.30 inference(contradiction_clause,[status(thm)],[f189])).
% 0.07/0.30 fof(f191,plain,(
% 0.07/0.30 spl0_5|~spl0_4|~spl0_8),
% 0.07/0.30 inference(split_clause,[status(thm)],[f174,f97,f94,f120])).
% 0.07/0.30 fof(f192,plain,(
% 0.07/0.30 $false),
% 0.07/0.30 inference(sat_refutation,[status(thm)],[f100,f104,f108,f124,f137,f162,f168,f178,f183,f187,f190,f191])).
% 0.07/0.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.31 % Elapsed time: 0.016514 seconds
% 0.11/0.31 % CPU time: 0.057314 seconds
% 0.11/0.31 % Memory used: 2.353 MB
%------------------------------------------------------------------------------