%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD034-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:22:22 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD034-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 15:39:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f6,axiom,(
% 0.12/0.37 (![X]: (( equalish(multiply(multiplicative_identity,X),X)| ~ defined(X) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f23,axiom,(
% 0.12/0.37 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f25,axiom,(
% 0.12/0.37 (![X,Z,Y]: (( equalish(multiply(X,Z),multiply(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f28,hypothesis,(
% 0.12/0.37 defined(a) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f30,negated_conjecture,(
% 0.12/0.37 equalish(m,multiplicative_identity) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f31,negated_conjecture,(
% 0.12/0.37 ~ equalish(multiply(m,a),a) ),
% 0.12/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f40,plain,(
% 0.12/0.37 ![X0]: (equalish(multiply(multiplicative_identity,X0),X0)|~defined(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f65,plain,(
% 0.12/0.37 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f23])).
% 0.12/0.37 fof(f66,plain,(
% 0.12/0.37 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f65])).
% 0.12/0.37 fof(f69,plain,(
% 0.12/0.37 ![X,Y]: ((![Z]: (equalish(multiply(X,Z),multiply(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f25])).
% 0.12/0.37 fof(f70,plain,(
% 0.12/0.37 ![X0,X1,X2]: (equalish(multiply(X0,X1),multiply(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f69])).
% 0.12/0.37 fof(f74,plain,(
% 0.12/0.37 defined(a)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.37 fof(f76,plain,(
% 0.12/0.37 equalish(m,multiplicative_identity)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.37 fof(f77,plain,(
% 0.12/0.37 ~equalish(multiply(m,a),a)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f31])).
% 0.12/0.37 fof(f85,plain,(
% 0.12/0.37 ![X0]: (~equalish(multiply(m,a),X0)|~equalish(X0,a))),
% 0.12/0.37 inference(resolution,[status(thm)],[f66,f77])).
% 0.12/0.37 fof(f92,definition,(
% 0.12/0.37 sQ1_spl <=> (defined(a))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f94,plain,(
% 0.12/0.37 ~defined(a)|sQ1_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f92])).
% 0.12/0.37 fof(f114,plain,(
% 0.12/0.37 $false|sQ1_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f94,f74])).
% 0.12/0.37 fof(f115,plain,(
% 0.12/0.37 sQ1_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f114])).
% 0.12/0.37 fof(f159,plain,(
% 0.12/0.37 ![X0]: (~defined(a)|~equalish(m,X0)|~equalish(multiply(X0,a),a))),
% 0.12/0.37 inference(resolution,[status(thm)],[f70,f85])).
% 0.12/0.37 fof(f164,definition,(
% 0.12/0.37 ![X0]: (sQ13_spl <=> (~equalish(m,X0)|~equalish(multiply(X0,a),a)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f165,plain,(
% 0.12/0.37 ![X0]: (~equalish(m,X0)|~equalish(multiply(X0,a),a)|~sQ13_spl)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f164])).
% 0.12/0.37 fof(f167,plain,(
% 0.12/0.37 ~sQ1_spl|sQ13_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f159,f92,f164])).
% 0.12/0.38 fof(f241,plain,(
% 0.12/0.38 ~equalish(m,multiplicative_identity)|~defined(a)|~sQ13_spl),
% 0.12/0.38 inference(resolution,[status(thm)],[f165,f40])).
% 0.12/0.38 fof(f244,definition,(
% 0.12/0.38 sQ22_spl <=> (equalish(m,multiplicative_identity))),
% 0.12/0.38 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.38 fof(f246,plain,(
% 0.12/0.38 ~equalish(m,multiplicative_identity)|sQ22_spl),
% 0.12/0.38 inference(component_clause,[status(thm)],[f244])).
% 0.12/0.38 fof(f247,plain,(
% 0.12/0.38 ~sQ22_spl|~sQ1_spl|~sQ13_spl),
% 0.12/0.38 inference(split_clause,[status(thm)],[f241,f244,f92,f164])).
% 0.12/0.38 fof(f248,plain,(
% 0.12/0.38 $false|sQ22_spl),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f246,f76])).
% 0.12/0.38 fof(f249,plain,(
% 0.12/0.38 sQ22_spl),
% 0.12/0.38 inference(contradiction_clause,[status(thm)],[f248])).
% 0.12/0.38 fof(f250,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(sat_refutation,[status(thm)],[f115,f167,f247,f249])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.030304 seconds
% 0.12/0.39 % CPU time: 0.053443 seconds
% 0.12/0.39 % Total memory used: 3.707 MB
% 0.12/0.39 % Net memory used: 3.676 MB
%------------------------------------------------------------------------------