TSTP Solution File: FLD025-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD025-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:06:54 EDT 2023
% Result : Unsatisfiable 0.82s 0.63s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : FLD025-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:51:37 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Drodi V3.5.1
% 0.82/0.63 % Refutation found
% 0.82/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.82/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.82/0.63 fof(f8,axiom,(
% 0.82/0.63 (![X,Y]: (( equalish(multiply(X,Y),multiply(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f21,axiom,(
% 0.82/0.63 (![X]: (( equalish(X,X)| ~ defined(X) ) ))),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f22,axiom,(
% 0.82/0.63 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f23,axiom,(
% 0.82/0.63 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f25,axiom,(
% 0.82/0.63 (![X,Z,Y]: (( equalish(multiply(X,Z),multiply(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f29,hypothesis,(
% 0.82/0.63 defined(b) ),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f30,hypothesis,(
% 0.82/0.63 defined(c) ),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f32,hypothesis,(
% 0.82/0.63 defined(u) ),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f33,hypothesis,(
% 0.82/0.63 defined(v) ),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f34,negated_conjecture,(
% 0.82/0.63 equalish(a,b) ),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f35,negated_conjecture,(
% 0.82/0.63 equalish(c,d) ),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f36,negated_conjecture,(
% 0.82/0.63 equalish(multiply(a,c),u) ),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f37,negated_conjecture,(
% 0.82/0.63 equalish(multiply(d,b),v) ),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f38,negated_conjecture,(
% 0.82/0.63 ~ equalish(v,u) ),
% 0.82/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.82/0.63 fof(f49,plain,(
% 0.82/0.63 ![Y]: ((![X]: (equalish(multiply(X,Y),multiply(Y,X))|~defined(X)))|~defined(Y))),
% 0.82/0.63 inference(miniscoping,[status(esa)],[f8])).
% 0.82/0.63 fof(f50,plain,(
% 0.82/0.63 ![X0,X1]: (equalish(multiply(X0,X1),multiply(X1,X0))|~defined(X0)|~defined(X1))),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f49])).
% 0.82/0.63 fof(f70,plain,(
% 0.82/0.63 ![X0]: (equalish(X0,X0)|~defined(X0))),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f21])).
% 0.82/0.63 fof(f71,plain,(
% 0.82/0.63 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f22])).
% 0.82/0.63 fof(f72,plain,(
% 0.82/0.63 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.82/0.63 inference(miniscoping,[status(esa)],[f23])).
% 0.82/0.63 fof(f73,plain,(
% 0.82/0.63 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f72])).
% 0.82/0.63 fof(f76,plain,(
% 0.82/0.63 ![X,Y]: ((![Z]: (equalish(multiply(X,Z),multiply(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 0.82/0.63 inference(miniscoping,[status(esa)],[f25])).
% 0.82/0.63 fof(f77,plain,(
% 0.82/0.63 ![X0,X1,X2]: (equalish(multiply(X0,X1),multiply(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f76])).
% 0.82/0.63 fof(f82,plain,(
% 0.82/0.63 defined(b)),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f29])).
% 0.82/0.63 fof(f83,plain,(
% 0.82/0.63 defined(c)),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f30])).
% 0.82/0.63 fof(f85,plain,(
% 0.82/0.63 defined(u)),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f32])).
% 0.82/0.63 fof(f86,plain,(
% 0.82/0.63 defined(v)),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f33])).
% 0.82/0.63 fof(f87,plain,(
% 0.82/0.63 equalish(a,b)),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f34])).
% 0.82/0.63 fof(f88,plain,(
% 0.82/0.63 equalish(c,d)),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f35])).
% 0.82/0.63 fof(f89,plain,(
% 0.82/0.63 equalish(multiply(a,c),u)),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f36])).
% 0.82/0.63 fof(f90,plain,(
% 0.82/0.63 equalish(multiply(d,b),v)),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f37])).
% 0.82/0.63 fof(f91,plain,(
% 0.82/0.63 ~equalish(v,u)),
% 0.82/0.63 inference(cnf_transformation,[status(esa)],[f38])).
% 0.82/0.63 fof(f92,plain,(
% 0.82/0.63 equalish(v,multiply(d,b))),
% 0.82/0.63 inference(resolution,[status(thm)],[f71,f90])).
% 0.82/0.63 fof(f93,plain,(
% 0.82/0.63 equalish(u,multiply(a,c))),
% 0.82/0.63 inference(resolution,[status(thm)],[f71,f89])).
% 0.82/0.63 fof(f95,plain,(
% 0.82/0.63 equalish(d,c)),
% 0.82/0.63 inference(resolution,[status(thm)],[f71,f88])).
% 0.82/0.63 fof(f96,plain,(
% 0.82/0.63 equalish(b,a)),
% 0.82/0.63 inference(resolution,[status(thm)],[f71,f87])).
% 0.82/0.64 fof(f102,plain,(
% 0.82/0.64 ![X0]: (equalish(X0,multiply(a,c))|~equalish(X0,u))),
% 0.82/0.64 inference(resolution,[status(thm)],[f73,f93])).
% 0.82/0.64 fof(f103,plain,(
% 0.82/0.64 ![X0]: (equalish(X0,multiply(d,b))|~equalish(X0,v))),
% 0.82/0.64 inference(resolution,[status(thm)],[f73,f92])).
% 0.82/0.64 fof(f104,plain,(
% 0.82/0.64 ![X0]: (equalish(X0,a)|~equalish(X0,b))),
% 0.82/0.64 inference(resolution,[status(thm)],[f73,f96])).
% 0.82/0.64 fof(f106,plain,(
% 0.82/0.64 ![X0]: (equalish(X0,v)|~equalish(X0,multiply(d,b)))),
% 0.82/0.64 inference(resolution,[status(thm)],[f73,f90])).
% 0.82/0.64 fof(f107,plain,(
% 0.82/0.64 ![X0]: (equalish(X0,u)|~equalish(X0,multiply(a,c)))),
% 0.82/0.64 inference(resolution,[status(thm)],[f73,f89])).
% 0.82/0.64 fof(f109,plain,(
% 0.82/0.64 ![X0]: (equalish(X0,d)|~equalish(X0,c))),
% 0.82/0.64 inference(resolution,[status(thm)],[f73,f88])).
% 0.82/0.64 fof(f112,plain,(
% 0.82/0.64 spl0_0 <=> equalish(b,a)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f115,plain,(
% 0.82/0.64 spl0_1 <=> defined(b)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f117,plain,(
% 0.82/0.64 ~defined(b)|spl0_1),
% 0.82/0.64 inference(component_clause,[status(thm)],[f115])).
% 0.82/0.64 fof(f118,plain,(
% 0.82/0.64 equalish(b,a)|~defined(b)),
% 0.82/0.64 inference(resolution,[status(thm)],[f104,f70])).
% 0.82/0.64 fof(f119,plain,(
% 0.82/0.64 spl0_0|~spl0_1),
% 0.82/0.64 inference(split_clause,[status(thm)],[f118,f112,f115])).
% 0.82/0.64 fof(f120,plain,(
% 0.82/0.64 $false|spl0_1),
% 0.82/0.64 inference(forward_subsumption_resolution,[status(thm)],[f117,f82])).
% 0.82/0.64 fof(f121,plain,(
% 0.82/0.64 spl0_1),
% 0.82/0.64 inference(contradiction_clause,[status(thm)],[f120])).
% 0.82/0.64 fof(f135,plain,(
% 0.82/0.64 equalish(d,d)),
% 0.82/0.64 inference(resolution,[status(thm)],[f109,f95])).
% 0.82/0.64 fof(f137,plain,(
% 0.82/0.64 spl0_4 <=> equalish(c,d)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f140,plain,(
% 0.82/0.64 spl0_5 <=> defined(c)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f142,plain,(
% 0.82/0.64 ~defined(c)|spl0_5),
% 0.82/0.64 inference(component_clause,[status(thm)],[f140])).
% 0.82/0.64 fof(f143,plain,(
% 0.82/0.64 equalish(c,d)|~defined(c)),
% 0.82/0.64 inference(resolution,[status(thm)],[f109,f70])).
% 0.82/0.64 fof(f144,plain,(
% 0.82/0.64 spl0_4|~spl0_5),
% 0.82/0.64 inference(split_clause,[status(thm)],[f143,f137,f140])).
% 0.82/0.64 fof(f145,plain,(
% 0.82/0.64 $false|spl0_5),
% 0.82/0.64 inference(forward_subsumption_resolution,[status(thm)],[f142,f83])).
% 0.82/0.64 fof(f146,plain,(
% 0.82/0.64 spl0_5),
% 0.82/0.64 inference(contradiction_clause,[status(thm)],[f145])).
% 0.82/0.64 fof(f163,plain,(
% 0.82/0.64 ![X0,X1]: (~equalish(X0,u)|equalish(X1,multiply(a,c))|~equalish(X1,X0))),
% 0.82/0.64 inference(resolution,[status(thm)],[f102,f73])).
% 0.82/0.64 fof(f165,plain,(
% 0.82/0.64 ![X0,X1]: (~equalish(X0,v)|equalish(X1,multiply(d,b))|~equalish(X1,X0))),
% 0.82/0.64 inference(resolution,[status(thm)],[f103,f73])).
% 0.82/0.64 fof(f166,plain,(
% 0.82/0.64 ![X0]: (~equalish(X0,v)|equalish(multiply(d,b),X0))),
% 0.82/0.64 inference(resolution,[status(thm)],[f103,f71])).
% 0.82/0.64 fof(f201,plain,(
% 0.82/0.64 equalish(v,v)),
% 0.82/0.64 inference(resolution,[status(thm)],[f106,f92])).
% 0.82/0.64 fof(f202,plain,(
% 0.82/0.64 spl0_16 <=> equalish(multiply(a,c),v)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f205,plain,(
% 0.82/0.64 spl0_17 <=> equalish(multiply(d,b),u)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f206,plain,(
% 0.82/0.64 equalish(multiply(d,b),u)|~spl0_17),
% 0.82/0.64 inference(component_clause,[status(thm)],[f205])).
% 0.82/0.64 fof(f218,plain,(
% 0.82/0.64 equalish(u,u)),
% 0.82/0.64 inference(resolution,[status(thm)],[f107,f93])).
% 0.82/0.64 fof(f232,plain,(
% 0.82/0.64 ~equalish(multiply(a,c),v)|equalish(multiply(d,b),u)),
% 0.82/0.64 inference(resolution,[status(thm)],[f166,f107])).
% 0.82/0.64 fof(f233,plain,(
% 0.82/0.64 ~spl0_16|spl0_17),
% 0.82/0.64 inference(split_clause,[status(thm)],[f232,f202,f205])).
% 0.82/0.64 fof(f273,plain,(
% 0.82/0.64 ![X0,X1]: (~equalish(X0,u)|~equalish(X1,X0)|equalish(multiply(a,c),X1))),
% 0.82/0.64 inference(resolution,[status(thm)],[f163,f71])).
% 0.82/0.64 fof(f276,plain,(
% 0.82/0.64 ![X0,X1]: (~equalish(X0,v)|~equalish(X1,X0)|equalish(multiply(d,b),X1))),
% 0.82/0.64 inference(resolution,[status(thm)],[f165,f71])).
% 0.82/0.64 fof(f283,plain,(
% 0.82/0.64 spl0_31 <=> ~equalish(X0,u)|~equalish(multiply(d,b),X0)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f284,plain,(
% 0.82/0.64 ![X0]: (~equalish(X0,u)|~equalish(multiply(d,b),X0)|~spl0_31)),
% 0.82/0.64 inference(component_clause,[status(thm)],[f283])).
% 0.82/0.64 fof(f286,plain,(
% 0.82/0.64 ![X0]: (~equalish(X0,u)|~equalish(multiply(d,b),X0)|equalish(multiply(a,c),v))),
% 0.82/0.64 inference(resolution,[status(thm)],[f273,f106])).
% 0.82/0.64 fof(f287,plain,(
% 0.82/0.64 spl0_31|spl0_16),
% 0.82/0.64 inference(split_clause,[status(thm)],[f286,f283,f202])).
% 0.82/0.64 fof(f360,plain,(
% 0.82/0.64 equalish(u,multiply(d,b))|~spl0_17),
% 0.82/0.64 inference(resolution,[status(thm)],[f206,f71])).
% 0.82/0.64 fof(f361,plain,(
% 0.82/0.64 equalish(u,v)|~spl0_17),
% 0.82/0.64 inference(resolution,[status(thm)],[f360,f106])).
% 0.82/0.64 fof(f365,plain,(
% 0.82/0.64 equalish(v,u)|~spl0_17),
% 0.82/0.64 inference(resolution,[status(thm)],[f361,f71])).
% 0.82/0.64 fof(f366,plain,(
% 0.82/0.64 $false|~spl0_17),
% 0.82/0.64 inference(forward_subsumption_resolution,[status(thm)],[f365,f91])).
% 0.82/0.64 fof(f367,plain,(
% 0.82/0.64 ~spl0_17),
% 0.82/0.64 inference(contradiction_clause,[status(thm)],[f366])).
% 0.82/0.64 fof(f375,plain,(
% 0.82/0.64 spl0_39 <=> equalish(v,v)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f377,plain,(
% 0.82/0.64 ~equalish(v,v)|spl0_39),
% 0.82/0.64 inference(component_clause,[status(thm)],[f375])).
% 0.82/0.64 fof(f383,plain,(
% 0.82/0.64 spl0_41 <=> defined(v)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f385,plain,(
% 0.82/0.64 ~defined(v)|spl0_41),
% 0.82/0.64 inference(component_clause,[status(thm)],[f383])).
% 0.82/0.64 fof(f398,plain,(
% 0.82/0.64 spl0_44 <=> defined(u)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f400,plain,(
% 0.82/0.64 ~defined(u)|spl0_44),
% 0.82/0.64 inference(component_clause,[status(thm)],[f398])).
% 0.82/0.64 fof(f403,plain,(
% 0.82/0.64 $false|spl0_44),
% 0.82/0.64 inference(forward_subsumption_resolution,[status(thm)],[f400,f85])).
% 0.82/0.64 fof(f404,plain,(
% 0.82/0.64 spl0_44),
% 0.82/0.64 inference(contradiction_clause,[status(thm)],[f403])).
% 0.82/0.64 fof(f410,plain,(
% 0.82/0.64 spl0_45 <=> equalish(u,u)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f412,plain,(
% 0.82/0.64 ~equalish(u,u)|spl0_45),
% 0.82/0.64 inference(component_clause,[status(thm)],[f410])).
% 0.82/0.64 fof(f525,plain,(
% 0.82/0.64 spl0_53 <=> ~equalish(X0,d)|equalish(multiply(X0,b),v)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f526,plain,(
% 0.82/0.64 ![X0]: (~equalish(X0,d)|equalish(multiply(X0,b),v)|~spl0_53)),
% 0.82/0.64 inference(component_clause,[status(thm)],[f525])).
% 0.82/0.64 fof(f528,plain,(
% 0.82/0.64 ![X0]: (~defined(b)|~equalish(X0,d)|equalish(multiply(X0,b),v))),
% 0.82/0.64 inference(resolution,[status(thm)],[f77,f106])).
% 0.82/0.64 fof(f529,plain,(
% 0.82/0.64 ~spl0_1|spl0_53),
% 0.82/0.64 inference(split_clause,[status(thm)],[f528,f115,f525])).
% 0.82/0.64 fof(f554,plain,(
% 0.82/0.64 spl0_54 <=> equalish(multiply(X0,c),u)|~equalish(X0,a)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f555,plain,(
% 0.82/0.64 ![X0]: (equalish(multiply(X0,c),u)|~equalish(X0,a)|~spl0_54)),
% 0.82/0.64 inference(component_clause,[status(thm)],[f554])).
% 0.82/0.64 fof(f557,plain,(
% 0.82/0.64 ![X0]: (equalish(multiply(X0,c),u)|~defined(c)|~equalish(X0,a))),
% 0.82/0.64 inference(resolution,[status(thm)],[f107,f77])).
% 0.82/0.64 fof(f558,plain,(
% 0.82/0.64 spl0_54|~spl0_5),
% 0.82/0.64 inference(split_clause,[status(thm)],[f557,f554,f140])).
% 0.82/0.64 fof(f937,plain,(
% 0.82/0.64 $false|spl0_45),
% 0.82/0.64 inference(forward_subsumption_resolution,[status(thm)],[f412,f218])).
% 0.82/0.64 fof(f938,plain,(
% 0.82/0.64 spl0_45),
% 0.82/0.64 inference(contradiction_clause,[status(thm)],[f937])).
% 0.82/0.64 fof(f980,plain,(
% 0.82/0.64 ![X0,X1]: (~equalish(X0,v)|~equalish(X1,X0)|~equalish(X1,u)|~spl0_31)),
% 0.82/0.64 inference(resolution,[status(thm)],[f276,f284])).
% 0.82/0.64 fof(f1252,plain,(
% 0.82/0.64 $false|spl0_39),
% 0.82/0.64 inference(forward_subsumption_resolution,[status(thm)],[f377,f201])).
% 0.82/0.64 fof(f1253,plain,(
% 0.82/0.64 spl0_39),
% 0.82/0.64 inference(contradiction_clause,[status(thm)],[f1252])).
% 0.82/0.64 fof(f1254,plain,(
% 0.82/0.64 $false|spl0_41),
% 0.82/0.64 inference(forward_subsumption_resolution,[status(thm)],[f385,f86])).
% 0.82/0.64 fof(f1255,plain,(
% 0.82/0.64 spl0_41),
% 0.82/0.64 inference(contradiction_clause,[status(thm)],[f1254])).
% 0.82/0.64 fof(f1256,plain,(
% 0.82/0.64 spl0_127 <=> equalish(d,d)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f1258,plain,(
% 0.82/0.64 ~equalish(d,d)|spl0_127),
% 0.82/0.64 inference(component_clause,[status(thm)],[f1256])).
% 0.82/0.64 fof(f1261,plain,(
% 0.82/0.64 ![X0,X1]: (~equalish(X0,d)|~equalish(X1,multiply(X0,b))|~equalish(X1,u)|~spl0_53|~spl0_31)),
% 0.82/0.64 inference(resolution,[status(thm)],[f526,f980])).
% 0.82/0.64 fof(f1752,plain,(
% 0.82/0.64 spl0_177 <=> ~equalish(X0,d)|~equalish(multiply(b,X0),u)|~defined(X0)),
% 0.82/0.64 introduced(split_symbol_definition)).
% 0.82/0.64 fof(f1753,plain,(
% 0.82/0.64 ![X0]: (~equalish(X0,d)|~equalish(multiply(b,X0),u)|~defined(X0)|~spl0_177)),
% 0.82/0.64 inference(component_clause,[status(thm)],[f1752])).
% 0.82/0.64 fof(f1755,plain,(
% 0.82/0.64 ![X0]: (~equalish(X0,d)|~equalish(multiply(b,X0),u)|~defined(b)|~defined(X0)|~spl0_53|~spl0_31)),
% 0.82/0.64 inference(resolution,[status(thm)],[f1261,f50])).
% 0.82/0.64 fof(f1756,plain,(
% 0.82/0.64 spl0_177|~spl0_1|~spl0_53|~spl0_31),
% 0.82/0.64 inference(split_clause,[status(thm)],[f1755,f1752,f115,f525,f283])).
% 0.82/0.64 fof(f1765,plain,(
% 0.82/0.64 $false|spl0_127),
% 0.82/0.64 inference(forward_subsumption_resolution,[status(thm)],[f1258,f135])).
% 0.82/0.64 fof(f1766,plain,(
% 1.49/0.64 spl0_127),
% 1.49/0.64 inference(contradiction_clause,[status(thm)],[f1765])).
% 1.49/0.64 fof(f1769,plain,(
% 1.49/0.64 ~equalish(c,d)|~defined(c)|~equalish(b,a)|~spl0_177|~spl0_54),
% 1.49/0.64 inference(resolution,[status(thm)],[f1753,f555])).
% 1.49/0.64 fof(f1770,plain,(
% 1.49/0.64 ~spl0_4|~spl0_5|~spl0_0|~spl0_177|~spl0_54),
% 1.49/0.64 inference(split_clause,[status(thm)],[f1769,f137,f140,f112,f1752,f554])).
% 1.49/0.64 fof(f1771,plain,(
% 1.49/0.64 $false),
% 1.49/0.64 inference(sat_refutation,[status(thm)],[f119,f121,f144,f146,f233,f287,f367,f404,f529,f558,f938,f1253,f1255,f1756,f1766,f1770])).
% 1.49/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 1.49/0.64 % Elapsed time: 0.341744 seconds
% 1.49/0.64 % CPU time: 1.546103 seconds
% 1.49/0.64 % Memory used: 20.606 MB
%------------------------------------------------------------------------------