TSTP Solution File: BOO004-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : BOO004-1 : TPTP v8.1.2. Released v1.0.0.
% 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 20:12:50 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 22:29:41 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f1,axiom,(
% 0.14/0.38 (![X,Y]: (sum(X,Y,add(X,Y)) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f3,axiom,(
% 0.14/0.38 (![X,Y,Z]: (( ~ sum(X,Y,Z)| sum(Y,X,Z) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f5,axiom,(
% 0.14/0.38 (![X]: (sum(additive_identity,X,X) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f8,axiom,(
% 0.14/0.38 (![X]: (product(X,multiplicative_identity,X) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f9,axiom,(
% 0.14/0.38 (![X,Y,V1,Z,V2,V3,V4]: (( ~ product(X,Y,V1)| ~ product(X,Z,V2)| ~ sum(Y,Z,V3)| ~ product(X,V3,V4)| sum(V1,V2,V4) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f13,axiom,(
% 0.14/0.38 (![X,Y,V1,Z,V2,V3,V4]: (( ~ sum(X,Y,V1)| ~ sum(X,Z,V2)| ~ product(Y,Z,V3)| ~ sum(X,V3,V4)| product(V1,V2,V4) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f17,axiom,(
% 0.14/0.38 (![X]: (sum(inverse(X),X,multiplicative_identity) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f19,axiom,(
% 0.14/0.38 (![X]: (product(inverse(X),X,additive_identity) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f21,axiom,(
% 0.14/0.38 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| U = V ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f22,axiom,(
% 0.14/0.38 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| U = V ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f23,negated_conjecture,(
% 0.14/0.38 ~ sum(x,x,x) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f24,plain,(
% 0.14/0.38 ![X0,X1]: (sum(X0,X1,add(X0,X1)))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.38 fof(f26,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~sum(X0,X1,X2)|sum(X1,X0,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.38 fof(f28,plain,(
% 0.14/0.38 ![X0]: (sum(additive_identity,X0,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.38 fof(f31,plain,(
% 0.14/0.38 ![X0]: (product(X0,multiplicative_identity,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.38 fof(f32,plain,(
% 0.14/0.38 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~product(X,Y,V1)|~product(X,Z,V2))|~sum(Y,Z,V3)))|~product(X,V3,V4)))|sum(V1,V2,V4))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f9])).
% 0.14/0.38 fof(f33,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4,X5,X6]: (~product(X0,X1,X2)|~product(X0,X3,X4)|~sum(X1,X3,X5)|~product(X0,X5,X6)|sum(X2,X4,X6))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f32])).
% 0.14/0.38 fof(f40,plain,(
% 0.14/0.38 ![V1,V2,V4]: ((![X,V3]: ((![Y,Z]: ((~sum(X,Y,V1)|~sum(X,Z,V2))|~product(Y,Z,V3)))|~sum(X,V3,V4)))|product(V1,V2,V4))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f13])).
% 0.14/0.38 fof(f41,plain,(
% 0.14/0.38 ![X0,X1,X2,X3,X4,X5,X6]: (~sum(X0,X1,X2)|~sum(X0,X3,X4)|~product(X1,X3,X5)|~sum(X0,X5,X6)|product(X2,X4,X6))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f40])).
% 0.14/0.38 fof(f48,plain,(
% 0.14/0.38 ![X0]: (sum(inverse(X0),X0,multiplicative_identity))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.38 fof(f50,plain,(
% 0.14/0.38 ![X0]: (product(inverse(X0),X0,additive_identity))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.38 fof(f52,plain,(
% 0.14/0.38 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|U=V)),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f21])).
% 0.14/0.38 fof(f53,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|X2=X3)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f52])).
% 0.14/0.38 fof(f54,plain,(
% 0.14/0.38 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|U=V)),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f22])).
% 0.14/0.38 fof(f55,plain,(
% 0.14/0.38 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f54])).
% 0.14/0.38 fof(f56,plain,(
% 0.14/0.38 ~sum(x,x,x)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.38 fof(f58,plain,(
% 0.14/0.38 ![X0]: (sum(X0,additive_identity,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f28,f26])).
% 0.14/0.38 fof(f59,plain,(
% 0.14/0.38 ![X0,X1]: (~sum(X0,additive_identity,X1)|X1=X0)),
% 0.14/0.38 inference(resolution,[status(thm)],[f58,f53])).
% 0.14/0.38 fof(f64,plain,(
% 0.14/0.38 ![X0,X1]: (sum(X0,X1,add(X1,X0)))),
% 0.14/0.38 inference(resolution,[status(thm)],[f24,f26])).
% 0.14/0.38 fof(f91,plain,(
% 0.14/0.38 multiplicative_identity=inverse(additive_identity)),
% 0.14/0.38 inference(resolution,[status(thm)],[f48,f59])).
% 0.14/0.38 fof(f131,plain,(
% 0.14/0.38 ![X0,X1]: (~product(X0,multiplicative_identity,X1)|X1=X0)),
% 0.14/0.38 inference(resolution,[status(thm)],[f55,f31])).
% 0.14/0.38 fof(f140,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~product(X0,X1,X2)|~sum(X1,multiplicative_identity,multiplicative_identity)|sum(X2,X0,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f33,f31])).
% 0.14/0.38 fof(f255,plain,(
% 0.14/0.38 spl0_0 <=> sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f257,plain,(
% 0.14/0.38 ~sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)|spl0_0),
% 0.14/0.38 inference(component_clause,[status(thm)],[f255])).
% 0.14/0.38 fof(f258,plain,(
% 0.14/0.38 spl0_1 <=> sum(X0,X0,X0)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f259,plain,(
% 0.14/0.38 ![X0]: (sum(X0,X0,X0)|~spl0_1)),
% 0.14/0.38 inference(component_clause,[status(thm)],[f258])).
% 0.14/0.38 fof(f261,plain,(
% 0.14/0.38 ![X0]: (~sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)|sum(X0,X0,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f140,f31])).
% 0.14/0.38 fof(f262,plain,(
% 0.14/0.38 ~spl0_0|spl0_1),
% 0.14/0.38 inference(split_clause,[status(thm)],[f261,f255,f258])).
% 0.14/0.38 fof(f271,plain,(
% 0.14/0.38 ![X0,X1,X2]: (~sum(X0,X1,X2)|~product(X1,additive_identity,additive_identity)|product(X2,X0,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f41,f58])).
% 0.14/0.38 fof(f289,plain,(
% 0.14/0.38 ![X0,X1]: (~sum(X0,inverse(additive_identity),X1)|product(X1,X0,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f271,f50])).
% 0.14/0.38 fof(f290,plain,(
% 0.14/0.38 ![X0,X1]: (~sum(X0,multiplicative_identity,X1)|product(X1,X0,X0))),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f91,f289])).
% 0.14/0.38 fof(f296,plain,(
% 0.14/0.38 ![X0]: (product(add(multiplicative_identity,X0),X0,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f290,f64])).
% 0.14/0.38 fof(f301,plain,(
% 0.14/0.38 multiplicative_identity=add(multiplicative_identity,multiplicative_identity)),
% 0.14/0.38 inference(resolution,[status(thm)],[f296,f131])).
% 0.14/0.38 fof(f326,plain,(
% 0.14/0.38 sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)),
% 0.14/0.38 inference(paramodulation,[status(thm)],[f301,f64])).
% 0.14/0.38 fof(f327,plain,(
% 0.14/0.38 $false|spl0_0),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f326,f257])).
% 0.14/0.38 fof(f328,plain,(
% 0.14/0.38 spl0_0),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f327])).
% 0.14/0.38 fof(f330,plain,(
% 0.14/0.38 $false|~spl0_1),
% 0.14/0.38 inference(backward_subsumption_resolution,[status(thm)],[f56,f259])).
% 0.14/0.38 fof(f331,plain,(
% 0.14/0.38 ~spl0_1),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f330])).
% 0.14/0.38 fof(f332,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f262,f328,f331])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.041484 seconds
% 0.14/0.39 % CPU time: 0.238285 seconds
% 0.14/0.39 % Total memory used: 17.641 MB
% 0.14/0.39 % Net memory used: 17.073 MB
%------------------------------------------------------------------------------