TSTP Solution File: FLD030-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n009.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 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD030-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:16:41 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f7,axiom,(
% 0.13/0.39 (![U,Z,W,X,Y,V]: (( product(U,Z,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(X,V,W) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f8,axiom,(
% 0.13/0.39 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,axiom,(
% 0.13/0.39 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f20,axiom,(
% 0.13/0.39 (![X,Y]: (( product(X,Y,multiply(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,hypothesis,(
% 0.13/0.39 defined(a) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,hypothesis,(
% 0.13/0.39 defined(b) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f30,negated_conjecture,(
% 0.13/0.39 product(multiplicative_identity,a,d) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f31,negated_conjecture,(
% 0.13/0.39 ~ product(d,b,multiply(a,b)) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 ![W,X,V]: ((![Z,Y]: ((![U]: (product(U,Z,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(X,V,W))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f7])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X3,X4,X0)|~product(X4,X1,X5)|~product(X3,X5,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 ![Y]: ((![X]: (product(X,Y,multiply(X,Y))|~defined(X)))|~defined(Y))),
% 0.13/0.39 inference(miniscoping,[status(esa)],[f20])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 ![X0,X1]: (product(X0,X1,multiply(X0,X1))|~defined(X0)|~defined(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f60])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 defined(a)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 defined(b)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.39 fof(f74,plain,(
% 0.13/0.39 product(multiplicative_identity,a,d)),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.39 fof(f75,plain,(
% 0.13/0.39 ~product(d,b,multiply(a,b))),
% 0.13/0.39 inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.39 fof(f97,plain,(
% 0.13/0.39 product(a,multiplicative_identity,d)),
% 0.13/0.39 inference(resolution,[status(thm)],[f45,f74])).
% 0.13/0.39 fof(f98,plain,(
% 0.13/0.39 ![X0]: (product(X0,multiplicative_identity,X0)|~defined(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f45,f43])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 product(b,multiplicative_identity,b)),
% 0.13/0.39 inference(resolution,[status(thm)],[f98,f72])).
% 0.13/0.39 fof(f115,plain,(
% 0.13/0.39 product(multiplicative_identity,b,b)),
% 0.13/0.39 inference(resolution,[status(thm)],[f106,f45])).
% 0.13/0.39 fof(f134,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~product(X0,X1,d)|~product(X1,b,X2)|~product(X0,X2,multiply(a,b)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f42,f75])).
% 0.13/0.39 fof(f200,plain,(
% 0.13/0.39 spl0_3 <=> defined(a)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f202,plain,(
% 0.13/0.39 ~defined(a)|spl0_3),
% 0.13/0.39 inference(component_clause,[status(thm)],[f200])).
% 0.13/0.39 fof(f216,plain,(
% 0.13/0.39 $false|spl0_3),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f202,f71])).
% 0.13/0.39 fof(f217,plain,(
% 0.13/0.39 spl0_3),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f216])).
% 0.13/0.39 fof(f403,plain,(
% 0.13/0.39 ![X0]: (product(X0,b,multiply(X0,b))|~defined(X0))),
% 0.13/0.39 inference(resolution,[status(thm)],[f61,f72])).
% 0.13/0.39 fof(f555,plain,(
% 0.13/0.39 spl0_31 <=> ~product(a,X0,d)|~product(X0,b,b)),
% 0.13/0.39 introduced(split_symbol_definition)).
% 0.13/0.39 fof(f556,plain,(
% 0.13/0.39 ![X0]: (~product(a,X0,d)|~product(X0,b,b)|~spl0_31)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f555])).
% 0.13/0.39 fof(f558,plain,(
% 0.13/0.39 ![X0]: (~defined(a)|~product(a,X0,d)|~product(X0,b,b))),
% 0.13/0.39 inference(resolution,[status(thm)],[f403,f134])).
% 0.13/0.39 fof(f559,plain,(
% 0.13/0.39 ~spl0_3|spl0_31),
% 0.13/0.39 inference(split_clause,[status(thm)],[f558,f200,f555])).
% 0.13/0.39 fof(f728,plain,(
% 0.13/0.39 ~product(multiplicative_identity,b,b)|~spl0_31),
% 0.13/0.39 inference(resolution,[status(thm)],[f556,f97])).
% 0.13/0.41 fof(f729,plain,(
% 0.13/0.41 $false|~spl0_31),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f728,f115])).
% 0.13/0.41 fof(f730,plain,(
% 0.13/0.41 ~spl0_31),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f729])).
% 0.13/0.41 fof(f731,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f217,f559,f730])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.060232 seconds
% 0.13/0.41 % CPU time: 0.389122 seconds
% 0.13/0.41 % Total memory used: 12.895 MB
% 0.13/0.41 % Net memory used: 12.627 MB
%------------------------------------------------------------------------------