TSTP Solution File: RNG038-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG038-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:37:47 EDT 2024
% Result : Unsatisfiable 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : RNG038-2 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n017.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 : Mon Apr 29 21:52:18 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.15/0.34 % Refutation found
% 0.15/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.34 fof(f10,axiom,(
% 0.15/0.34 (![X]: (sum(X,additive_identity,X) ))),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f23,axiom,(
% 0.15/0.34 (![X,Y,U,V]: (( ~ sum(X,Y,U)| ~ sum(X,Y,V)| equalish(U,V) ) ))),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f24,axiom,(
% 0.15/0.34 (![X,Y,U,V]: (( ~ product(X,Y,U)| ~ product(X,Y,V)| equalish(U,V) ) ))),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f25,axiom,(
% 0.15/0.34 (![X]: (product(additive_identity,X,additive_identity) ))),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f27,hypothesis,(
% 0.15/0.34 (![X,Y]: (( ~ equalish(X,additive_identity)| product(X,h(X,Y),Y) ) ))),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f30,negated_conjecture,(
% 0.15/0.34 ~ equalish(b,additive_identity) ),
% 0.15/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.34 fof(f48,plain,(
% 0.15/0.34 ![X0]: (sum(X0,additive_identity,X0))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.34 fof(f69,plain,(
% 0.15/0.34 ![U,V]: ((![X,Y]: (~sum(X,Y,U)|~sum(X,Y,V)))|equalish(U,V))),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f23])).
% 0.15/0.34 fof(f70,plain,(
% 0.15/0.34 ![X0,X1,X2,X3]: (~sum(X0,X1,X2)|~sum(X0,X1,X3)|equalish(X2,X3))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f69])).
% 0.15/0.34 fof(f71,plain,(
% 0.15/0.34 ![U,V]: ((![X,Y]: (~product(X,Y,U)|~product(X,Y,V)))|equalish(U,V))),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f24])).
% 0.15/0.34 fof(f72,plain,(
% 0.15/0.34 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f71])).
% 0.15/0.34 fof(f73,plain,(
% 0.15/0.34 ![X0]: (product(additive_identity,X0,additive_identity))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.34 fof(f75,plain,(
% 0.15/0.34 ![X]: (~equalish(X,additive_identity)|(![Y]: product(X,h(X,Y),Y)))),
% 0.15/0.34 inference(miniscoping,[status(esa)],[f27])).
% 0.15/0.34 fof(f76,plain,(
% 0.15/0.34 ![X0,X1]: (~equalish(X0,additive_identity)|product(X0,h(X0,X1),X1))),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f75])).
% 0.15/0.34 fof(f79,plain,(
% 0.15/0.34 ~equalish(b,additive_identity)),
% 0.15/0.34 inference(cnf_transformation,[status(esa)],[f30])).
% 0.15/0.34 fof(f80,plain,(
% 0.15/0.34 ![X0,X1]: (~sum(X0,additive_identity,X1)|equalish(X1,X0))),
% 0.15/0.34 inference(resolution,[status(thm)],[f70,f48])).
% 0.15/0.34 fof(f81,plain,(
% 0.15/0.34 ![X0]: (equalish(X0,X0))),
% 0.15/0.34 inference(resolution,[status(thm)],[f80,f48])).
% 0.15/0.34 fof(f83,plain,(
% 0.15/0.34 ![X0,X1]: (~product(additive_identity,X0,X1)|equalish(X1,additive_identity))),
% 0.15/0.34 inference(resolution,[status(thm)],[f72,f73])).
% 0.15/0.34 fof(f288,plain,(
% 0.15/0.34 spl0_0 <=> equalish(additive_identity,additive_identity)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f290,plain,(
% 0.15/0.34 ~equalish(additive_identity,additive_identity)|spl0_0),
% 0.15/0.34 inference(component_clause,[status(thm)],[f288])).
% 0.15/0.34 fof(f291,plain,(
% 0.15/0.34 spl0_1 <=> equalish(X0,additive_identity)),
% 0.15/0.34 introduced(split_symbol_definition)).
% 0.15/0.34 fof(f292,plain,(
% 0.15/0.34 ![X0]: (equalish(X0,additive_identity)|~spl0_1)),
% 0.15/0.34 inference(component_clause,[status(thm)],[f291])).
% 0.15/0.34 fof(f294,plain,(
% 0.15/0.34 ![X0]: (~equalish(additive_identity,additive_identity)|equalish(X0,additive_identity))),
% 0.15/0.34 inference(resolution,[status(thm)],[f76,f83])).
% 0.15/0.34 fof(f295,plain,(
% 0.15/0.34 ~spl0_0|spl0_1),
% 0.15/0.34 inference(split_clause,[status(thm)],[f294,f288,f291])).
% 0.15/0.34 fof(f300,plain,(
% 0.15/0.34 $false|spl0_0),
% 0.15/0.34 inference(forward_subsumption_resolution,[status(thm)],[f290,f81])).
% 0.15/0.34 fof(f301,plain,(
% 0.15/0.34 spl0_0),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f300])).
% 0.15/0.34 fof(f303,plain,(
% 0.15/0.34 $false|~spl0_1),
% 0.15/0.34 inference(backward_subsumption_resolution,[status(thm)],[f79,f292])).
% 0.15/0.34 fof(f304,plain,(
% 0.15/0.34 ~spl0_1),
% 0.15/0.34 inference(contradiction_clause,[status(thm)],[f303])).
% 0.15/0.34 fof(f305,plain,(
% 0.15/0.34 $false),
% 0.15/0.34 inference(sat_refutation,[status(thm)],[f295,f301,f304])).
% 0.15/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.34 % Elapsed time: 0.033144 seconds
% 0.15/0.34 % CPU time: 0.172087 seconds
% 0.15/0.34 % Total memory used: 23.225 MB
% 0.15/0.34 % Net memory used: 22.052 MB
%------------------------------------------------------------------------------