%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD025-2 : 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 : n019.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 12:22:20 PM UTC 2026
% Result : Unsatisfiable 0.11s 5.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD025-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/5.35 % Computer : n019.cluster.edu
% 0.07/5.35 % Model : x86_64 x86_64
% 0.07/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.35 % Memory : 8046.5625MB
% 0.07/5.35 % OS : Linux 6.8.0-71-generic
% 0.07/5.35 % CPULimit : 300
% 0.07/5.35 % WCLimit : 300
% 0.07/5.35 % DateTime : Mon Sep 21 15:39:11 UTC 2026
% 0.07/5.35 % CPUTime :
% 0.07/5.36 % Drodi V4.1.1
% 0.11/5.56 % Refutation found
% 0.11/5.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/5.56 % SZS output start CNFRefutation for theBenchmark
% 0.11/5.56 fof(f8,axiom,(
% 0.11/5.56 (![X,Y]: (( equalish(multiply(X,Y),multiply(Y,X))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f22,axiom,(
% 0.11/5.56 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f23,axiom,(
% 0.11/5.56 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f25,axiom,(
% 0.11/5.56 (![X,Z,Y]: (( equalish(multiply(X,Z),multiply(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f29,hypothesis,(
% 0.11/5.56 defined(b) ),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f30,hypothesis,(
% 0.11/5.56 defined(c) ),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f34,negated_conjecture,(
% 0.11/5.56 equalish(a,b) ),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f35,negated_conjecture,(
% 0.11/5.56 equalish(c,d) ),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f36,negated_conjecture,(
% 0.11/5.56 equalish(multiply(a,c),u) ),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f37,negated_conjecture,(
% 0.11/5.56 equalish(multiply(d,b),v) ),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f38,negated_conjecture,(
% 0.11/5.56 ~ equalish(v,u) ),
% 0.11/5.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/5.56 fof(f49,plain,(
% 0.11/5.56 ![Y]: ((![X]: (equalish(multiply(X,Y),multiply(Y,X))|~defined(X)))|~defined(Y))),
% 0.11/5.56 inference(miniscoping,[status(thm)],[f8])).
% 0.11/5.56 fof(f50,plain,(
% 0.11/5.56 ![X0,X1]: (equalish(multiply(X0,X1),multiply(X1,X0))|~defined(X0)|~defined(X1))),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f49])).
% 0.11/5.56 fof(f71,plain,(
% 0.11/5.56 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/5.56 fof(f72,plain,(
% 0.11/5.56 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.11/5.56 inference(miniscoping,[status(thm)],[f23])).
% 0.11/5.56 fof(f73,plain,(
% 0.11/5.56 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f72])).
% 0.11/5.56 fof(f76,plain,(
% 0.11/5.56 ![X,Y]: ((![Z]: (equalish(multiply(X,Z),multiply(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 0.11/5.56 inference(miniscoping,[status(thm)],[f25])).
% 0.11/5.56 fof(f77,plain,(
% 0.11/5.56 ![X0,X1,X2]: (equalish(multiply(X0,X1),multiply(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f76])).
% 0.11/5.56 fof(f82,plain,(
% 0.11/5.56 defined(b)),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/5.56 fof(f83,plain,(
% 0.11/5.56 defined(c)),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f30])).
% 0.11/5.56 fof(f87,plain,(
% 0.11/5.56 equalish(a,b)),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f34])).
% 0.11/5.56 fof(f88,plain,(
% 0.11/5.56 equalish(c,d)),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f35])).
% 0.11/5.56 fof(f89,plain,(
% 0.11/5.56 equalish(multiply(a,c),u)),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f36])).
% 0.11/5.56 fof(f90,plain,(
% 0.11/5.56 equalish(multiply(d,b),v)),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f37])).
% 0.11/5.56 fof(f91,plain,(
% 0.11/5.56 ~equalish(v,u)),
% 0.11/5.56 inference(cnf_transformation,[status(thm)],[f38])).
% 0.11/5.56 fof(f92,plain,(
% 0.11/5.56 ~equalish(u,v)),
% 0.11/5.56 inference(resolution,[status(thm)],[f71,f91])).
% 0.11/5.56 fof(f94,plain,(
% 0.11/5.56 ![X0]: (~equalish(u,X0)|~equalish(X0,v))),
% 0.11/5.56 inference(resolution,[status(thm)],[f73,f92])).
% 0.11/5.56 fof(f97,plain,(
% 0.11/5.56 ![X0]: (~equalish(X0,v)|~equalish(X0,u))),
% 0.11/5.56 inference(resolution,[status(thm)],[f94,f71])).
% 0.11/5.56 fof(f101,plain,(
% 0.11/5.56 ![X0,X1]: (~equalish(X0,u)|~equalish(X0,X1)|~equalish(X1,v))),
% 0.11/5.56 inference(resolution,[status(thm)],[f97,f73])).
% 0.11/5.56 fof(f111,plain,(
% 0.11/5.56 ![X0]: (~equalish(X0,u)|~equalish(X0,multiply(d,b)))),
% 0.11/5.56 inference(resolution,[status(thm)],[f101,f90])).
% 0.11/5.56 fof(f122,plain,(
% 0.11/5.56 ~equalish(multiply(a,c),multiply(d,b))),
% 0.11/5.56 inference(resolution,[status(thm)],[f111,f89])).
% 0.11/5.56 fof(f131,plain,(
% 0.11/5.56 ![X0]: (~equalish(multiply(a,c),X0)|~equalish(X0,multiply(d,b)))),
% 0.11/5.56 inference(resolution,[status(thm)],[f122,f73])).
% 0.11/5.56 fof(f160,definition,(
% 0.11/5.56 sQ1_spl <=> (defined(c))),
% 0.11/5.56 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/5.56 fof(f162,plain,(
% 0.11/5.56 ~defined(c)|sQ1_spl),
% 0.11/5.56 inference(component_clause,[status(thm)],[f160])).
% 0.11/5.56 fof(f171,plain,(
% 0.11/5.56 $false|sQ1_spl),
% 0.11/5.56 inference(forward_subsumption_resolution,[status(thm)],[f162,f83])).
% 0.11/5.56 fof(f172,plain,(
% 0.11/5.56 sQ1_spl),
% 0.11/5.56 inference(contradiction_clause,[status(thm)],[f171])).
% 0.11/5.56 fof(f181,plain,(
% 0.11/5.56 ![X0]: (~equalish(multiply(a,c),multiply(X0,b))|~defined(b)|~equalish(X0,d))),
% 0.11/5.56 inference(resolution,[status(thm)],[f131,f77])).
% 0.11/5.56 fof(f185,definition,(
% 0.11/5.56 ![X0]: (sQ4_spl <=> (~equalish(multiply(a,c),multiply(X0,b))|~equalish(X0,d)))),
% 0.11/5.56 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/5.56 fof(f186,plain,(
% 0.11/5.56 ![X0]: (~equalish(multiply(a,c),multiply(X0,b))|~equalish(X0,d)|~sQ4_spl)),
% 0.11/5.56 inference(component_clause,[status(thm)],[f185])).
% 0.11/5.56 fof(f188,definition,(
% 0.11/5.56 sQ5_spl <=> (defined(b))),
% 0.11/5.56 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/5.56 fof(f190,plain,(
% 0.11/5.56 ~defined(b)|sQ5_spl),
% 0.11/5.56 inference(component_clause,[status(thm)],[f188])).
% 0.11/5.56 fof(f191,plain,(
% 0.11/5.56 sQ4_spl|~sQ5_spl),
% 0.11/5.56 inference(split_clause,[status(thm)],[f181,f185,f188])).
% 0.11/5.56 fof(f199,plain,(
% 0.11/5.56 $false|sQ5_spl),
% 0.11/5.56 inference(forward_subsumption_resolution,[status(thm)],[f190,f82])).
% 0.11/5.56 fof(f200,plain,(
% 0.11/5.56 sQ5_spl),
% 0.11/5.56 inference(contradiction_clause,[status(thm)],[f199])).
% 0.11/5.56 fof(f297,plain,(
% 0.11/5.56 ![X0,X1]: (~equalish(X0,d)|~equalish(multiply(a,c),X1)|~equalish(X1,multiply(X0,b))|~sQ4_spl)),
% 0.11/5.56 inference(resolution,[status(thm)],[f186,f73])).
% 0.11/5.56 fof(f675,plain,(
% 0.11/5.56 ![X0]: (~equalish(multiply(a,c),X0)|~equalish(X0,multiply(c,b))|~sQ4_spl)),
% 0.11/5.56 inference(resolution,[status(thm)],[f297,f88])).
% 0.11/5.56 fof(f679,plain,(
% 0.11/5.56 ~equalish(multiply(a,c),multiply(b,c))|~defined(b)|~defined(c)|~sQ4_spl),
% 0.11/5.56 inference(resolution,[status(thm)],[f675,f50])).
% 0.11/5.56 fof(f686,definition,(
% 0.11/5.56 sQ52_spl <=> (equalish(multiply(a,c),multiply(b,c)))),
% 0.11/5.56 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.11/5.56 fof(f688,plain,(
% 0.11/5.56 ~equalish(multiply(a,c),multiply(b,c))|sQ52_spl),
% 0.11/5.56 inference(component_clause,[status(thm)],[f686])).
% 0.11/5.56 fof(f689,plain,(
% 0.11/5.56 ~sQ52_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl),
% 0.11/5.56 inference(split_clause,[status(thm)],[f679,f686,f188,f160,f185])).
% 0.11/5.56 fof(f690,plain,(
% 0.11/5.56 ~defined(c)|~equalish(a,b)|sQ52_spl),
% 0.11/5.56 inference(resolution,[status(thm)],[f688,f77])).
% 0.11/5.56 fof(f693,definition,(
% 0.11/5.56 sQ53_spl <=> (equalish(a,b))),
% 0.11/5.56 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.11/5.56 fof(f695,plain,(
% 0.11/5.56 ~equalish(a,b)|sQ53_spl),
% 0.11/5.56 inference(component_clause,[status(thm)],[f693])).
% 0.11/5.56 fof(f696,plain,(
% 0.11/5.56 ~sQ1_spl|~sQ53_spl|sQ52_spl),
% 0.11/5.56 inference(split_clause,[status(thm)],[f690,f160,f693,f686])).
% 0.11/5.56 fof(f697,plain,(
% 0.11/5.56 $false|sQ53_spl),
% 0.11/5.56 inference(forward_subsumption_resolution,[status(thm)],[f695,f87])).
% 0.11/5.56 fof(f698,plain,(
% 0.11/5.56 sQ53_spl),
% 0.11/5.56 inference(contradiction_clause,[status(thm)],[f697])).
% 0.11/5.56 fof(f699,plain,(
% 0.11/5.56 $false),
% 0.11/5.56 inference(sat_refutation,[status(thm)],[f172,f191,f200,f689,f696,f698])).
% 0.11/5.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/5.59 % Elapsed time: 0.221418 seconds
% 0.11/5.59 % CPU time: 1.574597 seconds
% 0.11/5.59 % Total memory used: 56.654 MB
% 0.11/5.59 % Net memory used: 54.401 MB
%------------------------------------------------------------------------------