TSTP Solution File: FLD031-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:16:25 EDT 2024
% Result : Unsatisfiable 27.19s 3.78s
% Output : CNFRefutation 27.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:15:17 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 27.19/3.78 % Refutation found
% 27.19/3.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 27.19/3.78 % SZS output start CNFRefutation for theBenchmark
% 27.19/3.78 fof(f6,axiom,(
% 27.19/3.78 (![X]: (( equalish(multiply(multiplicative_identity,X),X)| ~ defined(X) ) ))),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f7,axiom,(
% 27.19/3.78 (![X]: (( equalish(multiply(X,multiplicative_inverse(X)),multiplicative_identity)| ~ defined(X)| equalish(X,additive_identity) ) ))),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f8,axiom,(
% 27.19/3.78 (![X,Y]: (( equalish(multiply(X,Y),multiply(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f14,axiom,(
% 27.19/3.78 defined(multiplicative_identity) ),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f15,axiom,(
% 27.19/3.78 (![X]: (( defined(multiplicative_inverse(X))| ~ defined(X)| equalish(X,additive_identity) ) ))),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f21,axiom,(
% 27.19/3.78 (![X]: (( equalish(X,X)| ~ defined(X) ) ))),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f22,axiom,(
% 27.19/3.78 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f23,axiom,(
% 27.19/3.78 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f25,axiom,(
% 27.19/3.78 (![X,Z,Y]: (( equalish(multiply(X,Z),multiply(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f28,hypothesis,(
% 27.19/3.78 defined(a) ),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f29,negated_conjecture,(
% 27.19/3.78 equalish(a,multiplicative_identity) ),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f30,negated_conjecture,(
% 27.19/3.78 ~ equalish(a,additive_identity) ),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f31,negated_conjecture,(
% 27.19/3.78 ~ equalish(multiplicative_inverse(a),multiplicative_identity) ),
% 27.19/3.78 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 27.19/3.78 fof(f40,plain,(
% 27.19/3.78 ![X0]: (equalish(multiply(multiplicative_identity,X0),X0)|~defined(X0))),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f6])).
% 27.19/3.78 fof(f41,plain,(
% 27.19/3.78 ![X0]: (equalish(multiply(X0,multiplicative_inverse(X0)),multiplicative_identity)|~defined(X0)|equalish(X0,additive_identity))),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f7])).
% 27.19/3.78 fof(f42,plain,(
% 27.19/3.78 ![Y]: ((![X]: (equalish(multiply(X,Y),multiply(Y,X))|~defined(X)))|~defined(Y))),
% 27.19/3.78 inference(miniscoping,[status(esa)],[f8])).
% 27.19/3.78 fof(f43,plain,(
% 27.19/3.78 ![X0,X1]: (equalish(multiply(X0,X1),multiply(X1,X0))|~defined(X0)|~defined(X1))),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f42])).
% 27.19/3.78 fof(f52,plain,(
% 27.19/3.78 defined(multiplicative_identity)),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f14])).
% 27.19/3.78 fof(f53,plain,(
% 27.19/3.78 ![X0]: (defined(multiplicative_inverse(X0))|~defined(X0)|equalish(X0,additive_identity))),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f15])).
% 27.19/3.78 fof(f63,plain,(
% 27.19/3.78 ![X0]: (equalish(X0,X0)|~defined(X0))),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f21])).
% 27.19/3.78 fof(f64,plain,(
% 27.19/3.78 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f22])).
% 27.19/3.78 fof(f65,plain,(
% 27.19/3.78 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 27.19/3.78 inference(miniscoping,[status(esa)],[f23])).
% 27.19/3.78 fof(f66,plain,(
% 27.19/3.78 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f65])).
% 27.19/3.78 fof(f69,plain,(
% 27.19/3.78 ![X,Y]: ((![Z]: (equalish(multiply(X,Z),multiply(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 27.19/3.78 inference(miniscoping,[status(esa)],[f25])).
% 27.19/3.78 fof(f70,plain,(
% 27.19/3.78 ![X0,X1,X2]: (equalish(multiply(X0,X1),multiply(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f69])).
% 27.19/3.78 fof(f74,plain,(
% 27.19/3.78 defined(a)),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f28])).
% 27.19/3.78 fof(f75,plain,(
% 27.19/3.78 equalish(a,multiplicative_identity)),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f29])).
% 27.19/3.78 fof(f76,plain,(
% 27.19/3.78 ~equalish(a,additive_identity)),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f30])).
% 27.19/3.78 fof(f77,plain,(
% 27.19/3.78 ~equalish(multiplicative_inverse(a),multiplicative_identity)),
% 27.19/3.78 inference(cnf_transformation,[status(esa)],[f31])).
% 27.19/3.78 fof(f79,plain,(
% 27.19/3.78 equalish(multiplicative_identity,a)),
% 27.19/3.78 inference(resolution,[status(thm)],[f64,f75])).
% 27.19/3.78 fof(f82,plain,(
% 27.19/3.78 ![X0]: (equalish(X0,a)|~equalish(X0,multiplicative_identity))),
% 27.19/3.78 inference(resolution,[status(thm)],[f66,f79])).
% 27.19/3.78 fof(f84,plain,(
% 27.19/3.78 ![X0]: (equalish(X0,multiplicative_identity)|~equalish(X0,a))),
% 27.19/3.78 inference(resolution,[status(thm)],[f66,f75])).
% 27.19/3.78 fof(f88,plain,(
% 27.19/3.78 spl0_1 <=> defined(multiplicative_identity)),
% 27.19/3.78 introduced(split_symbol_definition)).
% 27.19/3.78 fof(f90,plain,(
% 27.19/3.78 ~defined(multiplicative_identity)|spl0_1),
% 27.19/3.78 inference(component_clause,[status(thm)],[f88])).
% 27.19/3.78 fof(f94,plain,(
% 27.19/3.78 spl0_2 <=> equalish(multiplicative_identity,a)),
% 27.19/3.78 introduced(split_symbol_definition)).
% 27.19/3.78 fof(f97,plain,(
% 27.19/3.78 equalish(multiplicative_identity,a)|~defined(multiplicative_identity)),
% 27.19/3.78 inference(resolution,[status(thm)],[f82,f63])).
% 27.19/3.78 fof(f98,plain,(
% 27.19/3.78 spl0_2|~spl0_1),
% 27.19/3.78 inference(split_clause,[status(thm)],[f97,f94,f88])).
% 27.19/3.78 fof(f99,plain,(
% 27.19/3.78 $false|spl0_1),
% 27.19/3.78 inference(forward_subsumption_resolution,[status(thm)],[f90,f52])).
% 27.19/3.78 fof(f100,plain,(
% 27.19/3.78 spl0_1),
% 27.19/3.78 inference(contradiction_clause,[status(thm)],[f99])).
% 27.19/3.78 fof(f106,plain,(
% 27.19/3.78 spl0_4 <=> defined(a)),
% 27.19/3.78 introduced(split_symbol_definition)).
% 27.19/3.78 fof(f108,plain,(
% 27.19/3.78 ~defined(a)|spl0_4),
% 27.19/3.78 inference(component_clause,[status(thm)],[f106])).
% 27.19/3.78 fof(f117,plain,(
% 27.19/3.78 $false|spl0_4),
% 27.19/3.78 inference(forward_subsumption_resolution,[status(thm)],[f108,f74])).
% 27.19/3.78 fof(f118,plain,(
% 27.19/3.78 spl0_4),
% 27.19/3.78 inference(contradiction_clause,[status(thm)],[f117])).
% 27.19/3.78 fof(f131,plain,(
% 27.19/3.78 ![X0,X1]: (~defined(X0)|equalish(X1,X0)|~equalish(X1,multiply(multiplicative_identity,X0)))),
% 27.19/3.78 inference(resolution,[status(thm)],[f40,f66])).
% 27.19/3.78 fof(f133,plain,(
% 27.19/3.78 ![X0]: (~defined(X0)|equalish(X0,additive_identity)|equalish(multiply(X0,multiplicative_inverse(X0)),a))),
% 27.19/3.78 inference(resolution,[status(thm)],[f41,f82])).
% 27.19/3.78 fof(f143,plain,(
% 27.19/3.78 ![X0,X1]: (~defined(X0)|equalish(X0,additive_identity)|equalish(X1,a)|~equalish(X1,multiply(X0,multiplicative_inverse(X0))))),
% 27.19/3.78 inference(resolution,[status(thm)],[f133,f66])).
% 27.19/3.78 fof(f1500,plain,(
% 27.19/3.78 spl0_163 <=> ~defined(X0)|~defined(X0)|equalish(multiply(X0,multiplicative_identity),X0)),
% 27.19/3.78 introduced(split_symbol_definition)).
% 27.19/3.78 fof(f1501,plain,(
% 27.19/3.78 ![X0]: (~defined(X0)|~defined(X0)|equalish(multiply(X0,multiplicative_identity),X0)|~spl0_163)),
% 27.19/3.78 inference(component_clause,[status(thm)],[f1500])).
% 27.19/3.78 fof(f1503,plain,(
% 27.19/3.78 ![X0]: (~defined(X0)|~defined(multiplicative_identity)|~defined(X0)|equalish(multiply(X0,multiplicative_identity),X0))),
% 27.19/3.78 inference(resolution,[status(thm)],[f43,f131])).
% 27.19/3.78 fof(f1504,plain,(
% 27.19/3.78 spl0_163|~spl0_1),
% 27.19/3.78 inference(split_clause,[status(thm)],[f1503,f1500,f88])).
% 27.19/3.78 fof(f1524,plain,(
% 27.19/3.78 ![X0]: (~defined(X0)|equalish(multiply(X0,multiplicative_identity),X0)|~spl0_163)),
% 27.19/3.78 inference(duplicate_literals_removal,[status(esa)],[f1501])).
% 27.19/3.78 fof(f1753,plain,(
% 27.19/3.78 ![X0,X1]: (~defined(X0)|equalish(X1,X0)|~equalish(X1,multiply(X0,multiplicative_identity))|~spl0_163)),
% 27.19/3.78 inference(resolution,[status(thm)],[f1524,f66])).
% 27.19/3.78 fof(f2447,plain,(
% 27.19/3.78 ![X0,X1]: (~defined(X0)|equalish(X0,additive_identity)|equalish(multiply(X1,multiplicative_inverse(X0)),a)|~defined(multiplicative_inverse(X0))|~equalish(X1,X0))),
% 27.19/3.78 inference(resolution,[status(thm)],[f143,f70])).
% 27.19/3.78 fof(f2448,plain,(
% 27.19/3.78 ![X0,X1]: (~defined(X0)|equalish(X0,additive_identity)|equalish(multiply(X1,multiplicative_inverse(X0)),a)|~equalish(X1,X0))),
% 27.19/3.78 inference(forward_subsumption_resolution,[status(thm)],[f2447,f53])).
% 27.19/3.78 fof(f2480,plain,(
% 27.19/3.78 ![X0,X1,X2]: (~defined(X0)|equalish(X0,additive_identity)|~equalish(X1,X0)|equalish(X2,a)|~equalish(X2,multiply(X1,multiplicative_inverse(X0))))),
% 27.19/3.78 inference(resolution,[status(thm)],[f2448,f66])).
% 27.19/3.78 fof(f2551,plain,(
% 27.19/3.78 spl0_251 <=> equalish(a,additive_identity)),
% 27.19/3.78 introduced(split_symbol_definition)).
% 27.19/3.78 fof(f2552,plain,(
% 27.19/3.78 equalish(a,additive_identity)|~spl0_251),
% 27.19/3.78 inference(component_clause,[status(thm)],[f2551])).
% 27.19/3.78 fof(f3064,plain,(
% 27.19/3.78 ![X0,X1]: (~defined(multiplicative_inverse(X0))|~defined(X1)|~defined(X0)|equalish(X0,additive_identity)|~equalish(X1,X0)|equalish(multiply(multiplicative_inverse(X0),X1),a))),
% 27.19/3.79 inference(resolution,[status(thm)],[f43,f2480])).
% 27.19/3.79 fof(f3065,plain,(
% 27.19/3.79 ![X0,X1]: (~defined(X0)|~defined(X1)|equalish(X1,additive_identity)|~equalish(X0,X1)|equalish(multiply(multiplicative_inverse(X1),X0),a))),
% 27.19/3.79 inference(forward_subsumption_resolution,[status(thm)],[f3064,f53])).
% 27.19/3.79 fof(f3793,plain,(
% 27.19/3.79 ![X0,X1]: (~defined(X0)|~defined(X1)|equalish(X1,additive_identity)|~equalish(X0,X1)|equalish(multiply(multiplicative_inverse(X1),X0),multiplicative_identity))),
% 27.19/3.79 inference(resolution,[status(thm)],[f3065,f84])).
% 27.19/3.79 fof(f3833,plain,(
% 27.19/3.79 ![X0,X1]: (~defined(X0)|~defined(X1)|equalish(X1,additive_identity)|~equalish(X0,X1)|equalish(multiplicative_identity,multiply(multiplicative_inverse(X1),X0)))),
% 27.19/3.79 inference(resolution,[status(thm)],[f3793,f64])).
% 27.19/3.79 fof(f8273,plain,(
% 27.19/3.79 spl0_706 <=> ~defined(multiplicative_inverse(X0))|equalish(multiplicative_identity,multiplicative_inverse(X0))|~defined(X0)|equalish(X0,additive_identity)|~equalish(multiplicative_identity,X0)),
% 27.19/3.79 introduced(split_symbol_definition)).
% 27.19/3.79 fof(f8274,plain,(
% 27.19/3.79 ![X0]: (~defined(multiplicative_inverse(X0))|equalish(multiplicative_identity,multiplicative_inverse(X0))|~defined(X0)|equalish(X0,additive_identity)|~equalish(multiplicative_identity,X0)|~spl0_706)),
% 27.19/3.79 inference(component_clause,[status(thm)],[f8273])).
% 27.19/3.79 fof(f8276,plain,(
% 27.19/3.79 ![X0]: (~defined(multiplicative_inverse(X0))|equalish(multiplicative_identity,multiplicative_inverse(X0))|~defined(multiplicative_identity)|~defined(X0)|equalish(X0,additive_identity)|~equalish(multiplicative_identity,X0)|~spl0_163)),
% 27.19/3.79 inference(resolution,[status(thm)],[f1753,f3833])).
% 27.19/3.79 fof(f8277,plain,(
% 27.19/3.79 spl0_706|~spl0_1|~spl0_163),
% 27.19/3.79 inference(split_clause,[status(thm)],[f8276,f8273,f88,f1500])).
% 27.19/3.79 fof(f8381,plain,(
% 27.19/3.79 ![X0]: (equalish(multiplicative_identity,multiplicative_inverse(X0))|~defined(X0)|equalish(X0,additive_identity)|~equalish(multiplicative_identity,X0)|~spl0_706)),
% 27.19/3.79 inference(forward_subsumption_resolution,[status(thm)],[f8274,f53])).
% 27.19/3.79 fof(f10637,plain,(
% 27.19/3.79 ![X0]: (~defined(X0)|equalish(X0,additive_identity)|~equalish(multiplicative_identity,X0)|equalish(multiplicative_inverse(X0),multiplicative_identity)|~spl0_706)),
% 27.19/3.79 inference(resolution,[status(thm)],[f8381,f64])).
% 27.19/3.79 fof(f10925,plain,(
% 27.19/3.79 ~defined(a)|equalish(a,additive_identity)|~equalish(multiplicative_identity,a)|~spl0_706),
% 27.19/3.79 inference(resolution,[status(thm)],[f10637,f77])).
% 27.19/3.79 fof(f10926,plain,(
% 27.19/3.79 ~spl0_4|spl0_251|~spl0_2|~spl0_706),
% 27.19/3.79 inference(split_clause,[status(thm)],[f10925,f106,f2551,f94,f8273])).
% 27.19/3.79 fof(f10943,plain,(
% 27.19/3.79 $false|~spl0_251),
% 27.19/3.79 inference(forward_subsumption_resolution,[status(thm)],[f2552,f76])).
% 27.19/3.79 fof(f10944,plain,(
% 27.19/3.79 ~spl0_251),
% 27.19/3.79 inference(contradiction_clause,[status(thm)],[f10943])).
% 27.19/3.79 fof(f10945,plain,(
% 27.19/3.79 $false),
% 27.19/3.79 inference(sat_refutation,[status(thm)],[f98,f100,f118,f1504,f8277,f10926,f10944])).
% 27.19/3.79 % SZS output end CNFRefutation for theBenchmark.p
% 27.19/3.83 % Elapsed time: 3.504498 seconds
% 27.19/3.83 % CPU time: 27.505323 seconds
% 27.19/3.83 % Total memory used: 189.320 MB
% 27.19/3.83 % Net memory used: 174.345 MB
%------------------------------------------------------------------------------