TSTP Solution File: FLD030-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD030-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:06:56 EDT 2023
% Result : Unsatisfiable 0.15s 0.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : FLD030-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:03:31 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.15/0.47 % Refutation found
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.47 fof(f7,axiom,(
% 0.15/0.47 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f8,axiom,(
% 0.15/0.47 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f10,axiom,(
% 0.15/0.47 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f20,axiom,(
% 0.15/0.47 (![X,Y]: (( product(X,Y,multiply(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f27,hypothesis,(
% 0.15/0.47 defined(a) ),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f28,hypothesis,(
% 0.15/0.47 defined(b) ),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f30,negated_conjecture,(
% 0.15/0.47 product(multiplicative_identity,a,d) ),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f31,negated_conjecture,(
% 0.15/0.47 ~ product(d,b,multiply(a,b)) ),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f41,plain,(
% 0.15/0.47 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.15/0.47 inference(miniscoping,[status(esa)],[f7])).
% 0.15/0.47 fof(f42,plain,(
% 0.15/0.47 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.15/0.47 inference(cnf_transformation,[status(esa)],[f41])).
% 0.15/0.47 fof(f43,plain,(
% 0.15/0.47 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.15/0.47 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.47 fof(f45,plain,(
% 0.15/0.47 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.15/0.47 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.47 fof(f60,plain,(
% 0.15/0.47 ![Y]: ((![X]: (product(X,Y,multiply(X,Y))|~defined(X)))|~defined(Y))),
% 0.15/0.47 inference(miniscoping,[status(esa)],[f20])).
% 0.15/0.47 fof(f61,plain,(
% 0.15/0.47 ![X0,X1]: (product(X0,X1,multiply(X0,X1))|~defined(X0)|~defined(X1))),
% 0.15/0.47 inference(cnf_transformation,[status(esa)],[f60])).
% 0.15/0.47 fof(f71,plain,(
% 0.15/0.47 defined(a)),
% 0.15/0.47 inference(cnf_transformation,[status(esa)],[f27])).
% 0.15/0.47 fof(f72,plain,(
% 0.15/0.47 defined(b)),
% 0.15/0.47 inference(cnf_transformation,[status(esa)],[f28])).
% 0.15/0.47 fof(f74,plain,(
% 0.15/0.47 product(multiplicative_identity,a,d)),
% 0.15/0.47 inference(cnf_transformation,[status(esa)],[f30])).
% 0.15/0.47 fof(f75,plain,(
% 0.15/0.47 ~product(d,b,multiply(a,b))),
% 0.15/0.47 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.47 fof(f97,plain,(
% 0.15/0.47 product(a,multiplicative_identity,d)),
% 0.15/0.47 inference(resolution,[status(thm)],[f45,f74])).
% 0.15/0.47 fof(f98,plain,(
% 0.15/0.47 ![X0]: (product(X0,multiplicative_identity,X0)|~defined(X0))),
% 0.15/0.47 inference(resolution,[status(thm)],[f45,f43])).
% 0.15/0.47 fof(f106,plain,(
% 0.15/0.47 product(b,multiplicative_identity,b)),
% 0.15/0.47 inference(resolution,[status(thm)],[f98,f72])).
% 0.15/0.47 fof(f115,plain,(
% 0.15/0.47 product(multiplicative_identity,b,b)),
% 0.15/0.47 inference(resolution,[status(thm)],[f106,f45])).
% 0.15/0.47 fof(f134,plain,(
% 0.15/0.47 ![X0,X1,X2]: (~product(X0,X1,d)|~product(X1,b,X2)|~product(X0,X2,multiply(a,b)))),
% 0.15/0.47 inference(resolution,[status(thm)],[f42,f75])).
% 0.15/0.47 fof(f368,plain,(
% 0.15/0.47 spl0_26 <=> defined(a)),
% 0.15/0.47 introduced(split_symbol_definition)).
% 0.15/0.47 fof(f370,plain,(
% 0.15/0.47 ~defined(a)|spl0_26),
% 0.15/0.47 inference(component_clause,[status(thm)],[f368])).
% 0.15/0.47 fof(f374,plain,(
% 0.15/0.47 $false|spl0_26),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f370,f71])).
% 0.15/0.47 fof(f375,plain,(
% 0.15/0.47 spl0_26),
% 0.15/0.47 inference(contradiction_clause,[status(thm)],[f374])).
% 0.15/0.47 fof(f431,plain,(
% 0.15/0.47 ![X0]: (product(X0,b,multiply(X0,b))|~defined(X0))),
% 0.15/0.47 inference(resolution,[status(thm)],[f61,f72])).
% 0.15/0.47 fof(f1126,plain,(
% 0.15/0.47 spl0_119 <=> ~product(a,X0,d)|~product(X0,b,b)),
% 0.15/0.47 introduced(split_symbol_definition)).
% 0.15/0.47 fof(f1127,plain,(
% 0.15/0.47 ![X0]: (~product(a,X0,d)|~product(X0,b,b)|~spl0_119)),
% 0.15/0.47 inference(component_clause,[status(thm)],[f1126])).
% 0.15/0.47 fof(f1129,plain,(
% 0.15/0.47 ![X0]: (~product(a,X0,d)|~product(X0,b,b)|~defined(a))),
% 0.15/0.47 inference(resolution,[status(thm)],[f134,f431])).
% 0.15/0.47 fof(f1130,plain,(
% 0.15/0.47 spl0_119|~spl0_26),
% 0.15/0.47 inference(split_clause,[status(thm)],[f1129,f1126,f368])).
% 0.15/0.47 fof(f1979,plain,(
% 0.15/0.47 ~product(multiplicative_identity,b,b)|~spl0_119),
% 0.15/0.48 inference(resolution,[status(thm)],[f1127,f97])).
% 0.15/0.48 fof(f1980,plain,(
% 0.15/0.48 $false|~spl0_119),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1979,f115])).
% 0.15/0.48 fof(f1981,plain,(
% 0.15/0.48 ~spl0_119),
% 0.15/0.48 inference(contradiction_clause,[status(thm)],[f1980])).
% 0.15/0.48 fof(f1982,plain,(
% 0.15/0.48 $false),
% 0.15/0.48 inference(sat_refutation,[status(thm)],[f375,f1130,f1981])).
% 0.15/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.49 % Elapsed time: 0.181560 seconds
% 0.15/0.49 % CPU time: 1.089658 seconds
% 0.15/0.49 % Memory used: 15.901 MB
%------------------------------------------------------------------------------