TSTP Solution File: FLD009-3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD009-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:06:49 EDT 2023
% Result : Unsatisfiable 25.49s 3.72s
% Output : CNFRefutation 26.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : FLD009-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n026.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 11:17:28 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 25.49/3.72 % Refutation found
% 25.49/3.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 25.49/3.72 % SZS output start CNFRefutation for theBenchmark
% 25.49/3.72 fof(f6,axiom,(
% 25.49/3.72 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 25.49/3.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.49/3.72 fof(f8,axiom,(
% 25.49/3.72 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 25.49/3.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.49/3.72 fof(f9,axiom,(
% 25.49/3.72 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 25.49/3.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.49/3.72 fof(f10,axiom,(
% 25.49/3.72 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 25.49/3.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.49/3.72 fof(f18,axiom,(
% 25.49/3.72 (![X]: (( defined(multiplicative_inverse(X))| ~ defined(X)| sum(additive_identity,X,additive_identity) ) ))),
% 25.49/3.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.49/3.72 fof(f20,axiom,(
% 25.49/3.72 (![X,Y]: (( product(X,Y,multiply(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 25.49/3.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.49/3.72 fof(f27,hypothesis,(
% 25.49/3.72 defined(a) ),
% 25.49/3.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.49/3.72 fof(f28,hypothesis,(
% 25.49/3.72 defined(b) ),
% 25.49/3.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.49/3.72 fof(f29,negated_conjecture,(
% 25.49/3.72 ~ sum(additive_identity,a,additive_identity) ),
% 25.49/3.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.49/3.72 fof(f30,negated_conjecture,(
% 25.49/3.72 (![X]: (~ product(a,X,b) ))),
% 25.49/3.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 25.49/3.72 fof(f38,plain,(
% 25.49/3.72 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 25.49/3.72 inference(miniscoping,[status(esa)],[f6])).
% 25.49/3.72 fof(f39,plain,(
% 25.49/3.72 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 25.49/3.72 inference(cnf_transformation,[status(esa)],[f38])).
% 25.49/3.72 fof(f42,plain,(
% 25.49/3.72 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 25.49/3.72 inference(cnf_transformation,[status(esa)],[f8])).
% 25.49/3.72 fof(f43,plain,(
% 25.49/3.72 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 25.49/3.72 inference(cnf_transformation,[status(esa)],[f9])).
% 25.49/3.72 fof(f44,plain,(
% 25.49/3.72 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 25.49/3.72 inference(cnf_transformation,[status(esa)],[f10])).
% 25.49/3.72 fof(f56,plain,(
% 25.49/3.72 ![X0]: (defined(multiplicative_inverse(X0))|~defined(X0)|sum(additive_identity,X0,additive_identity))),
% 25.49/3.72 inference(cnf_transformation,[status(esa)],[f18])).
% 25.49/3.72 fof(f59,plain,(
% 25.49/3.72 ![Y]: ((![X]: (product(X,Y,multiply(X,Y))|~defined(X)))|~defined(Y))),
% 25.49/3.72 inference(miniscoping,[status(esa)],[f20])).
% 25.49/3.72 fof(f60,plain,(
% 25.49/3.72 ![X0,X1]: (product(X0,X1,multiply(X0,X1))|~defined(X0)|~defined(X1))),
% 25.49/3.72 inference(cnf_transformation,[status(esa)],[f59])).
% 25.49/3.72 fof(f70,plain,(
% 25.49/3.72 defined(a)),
% 25.49/3.72 inference(cnf_transformation,[status(esa)],[f27])).
% 25.49/3.72 fof(f71,plain,(
% 25.49/3.72 defined(b)),
% 25.49/3.72 inference(cnf_transformation,[status(esa)],[f28])).
% 25.49/3.72 fof(f72,plain,(
% 25.49/3.72 ~sum(additive_identity,a,additive_identity)),
% 25.49/3.72 inference(cnf_transformation,[status(esa)],[f29])).
% 25.49/3.72 fof(f73,plain,(
% 25.49/3.72 ![X0]: (~product(a,X0,b))),
% 25.49/3.72 inference(cnf_transformation,[status(esa)],[f30])).
% 25.49/3.72 fof(f299,plain,(
% 25.49/3.72 ![X0]: (~defined(X0)|product(X0,multiplicative_identity,X0))),
% 25.49/3.72 inference(resolution,[status(thm)],[f42,f44])).
% 25.49/3.72 fof(f2483,plain,(
% 25.49/3.72 ![X0]: (sum(additive_identity,X0,additive_identity)|~defined(X0)|product(X0,multiplicative_inverse(X0),multiplicative_identity))),
% 25.49/3.72 inference(resolution,[status(thm)],[f43,f44])).
% 25.49/3.72 fof(f2495,plain,(
% 25.49/3.72 spl0_274 <=> defined(multiplicative_inverse(a))),
% 25.49/3.72 introduced(split_symbol_definition)).
% 25.49/3.72 fof(f2498,plain,(
% 25.49/3.72 spl0_275 <=> defined(a)),
% 25.49/3.72 introduced(split_symbol_definition)).
% 25.49/3.72 fof(f2500,plain,(
% 25.49/3.72 ~defined(a)|spl0_275),
% 25.49/3.72 inference(component_clause,[status(thm)],[f2498])).
% 25.49/3.72 fof(f2501,plain,(
% 25.49/3.72 defined(multiplicative_inverse(a))|~defined(a)),
% 25.49/3.72 inference(resolution,[status(thm)],[f56,f72])).
% 25.49/3.72 fof(f2502,plain,(
% 25.49/3.72 spl0_274|~spl0_275),
% 25.49/3.72 inference(split_clause,[status(thm)],[f2501,f2495,f2498])).
% 26.40/3.75 fof(f2567,plain,(
% 26.40/3.75 $false|spl0_275),
% 26.40/3.75 inference(forward_subsumption_resolution,[status(thm)],[f2500,f70])).
% 26.40/3.75 fof(f2568,plain,(
% 26.40/3.75 spl0_275),
% 26.40/3.75 inference(contradiction_clause,[status(thm)],[f2567])).
% 26.40/3.75 fof(f2748,plain,(
% 26.40/3.75 ![X0,X1,X2,X3,X4]: (~defined(X0)|~defined(X1)|product(X2,multiply(X0,X1),X3)|~product(X2,X0,X4)|~product(X4,X1,X3))),
% 26.40/3.75 inference(resolution,[status(thm)],[f60,f39])).
% 26.40/3.75 fof(f3781,plain,(
% 26.40/3.75 ![X0]: (~defined(X0)|product(multiplicative_identity,X0,X0))),
% 26.40/3.75 inference(resolution,[status(thm)],[f299,f44])).
% 26.40/3.75 fof(f9188,plain,(
% 26.40/3.75 ![X0,X1,X2]: (~defined(X0)|~defined(X1)|~product(a,X0,X2)|~product(X2,X1,b))),
% 26.40/3.75 inference(resolution,[status(thm)],[f2748,f73])).
% 26.40/3.75 fof(f10507,plain,(
% 26.40/3.75 spl0_737 <=> ~defined(X0)|~product(multiplicative_identity,X0,b)),
% 26.40/3.75 introduced(split_symbol_definition)).
% 26.40/3.75 fof(f10508,plain,(
% 26.40/3.75 ![X0]: (~defined(X0)|~product(multiplicative_identity,X0,b)|~spl0_737)),
% 26.40/3.75 inference(component_clause,[status(thm)],[f10507])).
% 26.40/3.75 fof(f10510,plain,(
% 26.40/3.75 spl0_738 <=> sum(additive_identity,a,additive_identity)),
% 26.40/3.75 introduced(split_symbol_definition)).
% 26.40/3.75 fof(f10511,plain,(
% 26.40/3.75 sum(additive_identity,a,additive_identity)|~spl0_738),
% 26.40/3.75 inference(component_clause,[status(thm)],[f10510])).
% 26.40/3.75 fof(f10513,plain,(
% 26.40/3.75 ![X0]: (~defined(multiplicative_inverse(a))|~defined(X0)|~product(multiplicative_identity,X0,b)|sum(additive_identity,a,additive_identity)|~defined(a))),
% 26.40/3.75 inference(resolution,[status(thm)],[f9188,f2483])).
% 26.40/3.75 fof(f10514,plain,(
% 26.40/3.75 ~spl0_274|spl0_737|spl0_738|~spl0_275),
% 26.40/3.75 inference(split_clause,[status(thm)],[f10513,f2495,f10507,f10510,f2498])).
% 26.40/3.75 fof(f10534,plain,(
% 26.40/3.75 spl0_742 <=> defined(b)),
% 26.40/3.75 introduced(split_symbol_definition)).
% 26.40/3.75 fof(f10536,plain,(
% 26.40/3.75 ~defined(b)|spl0_742),
% 26.40/3.75 inference(component_clause,[status(thm)],[f10534])).
% 26.40/3.75 fof(f10544,plain,(
% 26.40/3.75 ~defined(b)|~defined(b)|~spl0_737),
% 26.40/3.75 inference(resolution,[status(thm)],[f10508,f3781])).
% 26.40/3.75 fof(f10545,plain,(
% 26.40/3.75 ~spl0_742|~spl0_737),
% 26.40/3.75 inference(split_clause,[status(thm)],[f10544,f10534,f10507])).
% 26.40/3.75 fof(f10548,plain,(
% 26.40/3.75 $false|spl0_742),
% 26.40/3.75 inference(forward_subsumption_resolution,[status(thm)],[f10536,f71])).
% 26.40/3.75 fof(f10549,plain,(
% 26.40/3.75 spl0_742),
% 26.40/3.75 inference(contradiction_clause,[status(thm)],[f10548])).
% 26.40/3.75 fof(f10550,plain,(
% 26.40/3.75 $false|~spl0_738),
% 26.40/3.75 inference(forward_subsumption_resolution,[status(thm)],[f10511,f72])).
% 26.40/3.75 fof(f10551,plain,(
% 26.40/3.75 ~spl0_738),
% 26.40/3.75 inference(contradiction_clause,[status(thm)],[f10550])).
% 26.40/3.75 fof(f10552,plain,(
% 26.40/3.75 $false),
% 26.40/3.75 inference(sat_refutation,[status(thm)],[f2502,f2568,f10514,f10545,f10549,f10551])).
% 26.40/3.75 % SZS output end CNFRefutation for theBenchmark.p
% 26.40/3.77 % Elapsed time: 3.465643 seconds
% 26.40/3.77 % CPU time: 26.683574 seconds
% 26.40/3.77 % Memory used: 99.681 MB
%------------------------------------------------------------------------------