TSTP Solution File: FLD034-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD034-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:16:26 EDT 2024
% Result : Unsatisfiable 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : FLD034-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n029.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Apr 29 23:39:04 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.36 fof(f6,axiom,(
% 0.11/0.36 (![X]: (( equalish(multiply(multiplicative_identity,X),X)| ~ defined(X) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f23,axiom,(
% 0.11/0.36 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f25,axiom,(
% 0.11/0.36 (![X,Z,Y]: (( equalish(multiply(X,Z),multiply(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f28,hypothesis,(
% 0.11/0.36 defined(a) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f30,negated_conjecture,(
% 0.11/0.36 equalish(m,multiplicative_identity) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f31,negated_conjecture,(
% 0.11/0.36 ~ equalish(multiply(m,a),a) ),
% 0.11/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.36 fof(f40,plain,(
% 0.11/0.36 ![X0]: (equalish(multiply(multiplicative_identity,X0),X0)|~defined(X0))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.11/0.36 fof(f65,plain,(
% 0.11/0.36 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.11/0.36 inference(miniscoping,[status(esa)],[f23])).
% 0.11/0.36 fof(f66,plain,(
% 0.11/0.36 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f65])).
% 0.11/0.36 fof(f69,plain,(
% 0.11/0.36 ![X,Y]: ((![Z]: (equalish(multiply(X,Z),multiply(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 0.11/0.36 inference(miniscoping,[status(esa)],[f25])).
% 0.11/0.36 fof(f70,plain,(
% 0.11/0.36 ![X0,X1,X2]: (equalish(multiply(X0,X1),multiply(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f69])).
% 0.11/0.36 fof(f74,plain,(
% 0.11/0.36 defined(a)),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f28])).
% 0.11/0.36 fof(f76,plain,(
% 0.11/0.36 equalish(m,multiplicative_identity)),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f30])).
% 0.11/0.36 fof(f77,plain,(
% 0.11/0.36 ~equalish(multiply(m,a),a)),
% 0.11/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.11/0.36 fof(f85,plain,(
% 0.11/0.36 ![X0]: (~equalish(multiply(m,a),X0)|~equalish(X0,a))),
% 0.11/0.36 inference(resolution,[status(thm)],[f66,f77])).
% 0.11/0.36 fof(f132,plain,(
% 0.11/0.36 spl0_7 <=> defined(a)),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f134,plain,(
% 0.11/0.36 ~defined(a)|spl0_7),
% 0.11/0.36 inference(component_clause,[status(thm)],[f132])).
% 0.11/0.36 fof(f318,plain,(
% 0.11/0.36 spl0_27 <=> ~equalish(multiply(X0,a),a)|~equalish(m,X0)),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f319,plain,(
% 0.11/0.36 ![X0]: (~equalish(multiply(X0,a),a)|~equalish(m,X0)|~spl0_27)),
% 0.11/0.36 inference(component_clause,[status(thm)],[f318])).
% 0.11/0.36 fof(f321,plain,(
% 0.11/0.36 ![X0]: (~equalish(multiply(X0,a),a)|~defined(a)|~equalish(m,X0))),
% 0.11/0.36 inference(resolution,[status(thm)],[f85,f70])).
% 0.11/0.36 fof(f322,plain,(
% 0.11/0.36 spl0_27|~spl0_7),
% 0.11/0.36 inference(split_clause,[status(thm)],[f321,f318,f132])).
% 0.11/0.36 fof(f341,plain,(
% 0.11/0.36 $false|spl0_7),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f134,f74])).
% 0.11/0.36 fof(f342,plain,(
% 0.11/0.36 spl0_7),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f341])).
% 0.11/0.36 fof(f624,plain,(
% 0.11/0.36 spl0_68 <=> equalish(m,multiplicative_identity)),
% 0.11/0.36 introduced(split_symbol_definition)).
% 0.11/0.36 fof(f626,plain,(
% 0.11/0.36 ~equalish(m,multiplicative_identity)|spl0_68),
% 0.11/0.36 inference(component_clause,[status(thm)],[f624])).
% 0.11/0.36 fof(f627,plain,(
% 0.11/0.36 ~equalish(m,multiplicative_identity)|~defined(a)|~spl0_27),
% 0.11/0.36 inference(resolution,[status(thm)],[f319,f40])).
% 0.11/0.36 fof(f628,plain,(
% 0.11/0.36 ~spl0_68|~spl0_7|~spl0_27),
% 0.11/0.36 inference(split_clause,[status(thm)],[f627,f624,f132,f318])).
% 0.11/0.36 fof(f631,plain,(
% 0.11/0.36 $false|spl0_68),
% 0.11/0.36 inference(forward_subsumption_resolution,[status(thm)],[f626,f76])).
% 0.11/0.36 fof(f632,plain,(
% 0.11/0.36 spl0_68),
% 0.11/0.36 inference(contradiction_clause,[status(thm)],[f631])).
% 0.11/0.36 fof(f633,plain,(
% 0.11/0.36 $false),
% 0.11/0.36 inference(sat_refutation,[status(thm)],[f322,f342,f628,f632])).
% 0.11/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.36 % Elapsed time: 0.033482 seconds
% 0.11/0.36 % CPU time: 0.172250 seconds
% 0.11/0.36 % Total memory used: 7.912 MB
% 0.11/0.36 % Net memory used: 7.718 MB
%------------------------------------------------------------------------------