%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD030-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:22:21 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD030-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 15:38:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f22,axiom,(
% 0.13/0.39 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f23,axiom,(
% 0.13/0.39 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f25,axiom,(
% 0.13/0.39 (![X,Z,Y]: (( equalish(multiply(X,Z),multiply(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f29,hypothesis,(
% 0.13/0.39 defined(b) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f32,negated_conjecture,(
% 0.13/0.39 equalish(multiply(a,b),c) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f33,negated_conjecture,(
% 0.13/0.39 equalish(a,d) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f34,negated_conjecture,(
% 0.13/0.39 ~ equalish(multiply(d,b),c) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f23])).
% 0.13/0.39 fof(f69,plain,(
% 0.13/0.39 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 ![X,Y]: ((![Z]: (equalish(multiply(X,Z),multiply(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f25])).
% 0.13/0.39 fof(f73,plain,(
% 0.13/0.39 ![X0,X1,X2]: (equalish(multiply(X0,X1),multiply(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f72])).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 defined(b)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.39 fof(f81,plain,(
% 0.13/0.39 equalish(multiply(a,b),c)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.39 fof(f82,plain,(
% 0.13/0.39 equalish(a,d)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.39 fof(f83,plain,(
% 0.13/0.39 ~equalish(multiply(d,b),c)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f91,plain,(
% 0.13/0.39 ![X0]: (~equalish(multiply(d,b),X0)|~equalish(X0,c))),
% 0.13/0.39 inference(resolution,[status(thm)],[f69,f83])).
% 0.13/0.39 fof(f112,definition,(
% 0.13/0.39 sQ4_spl <=> (defined(b))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f114,plain,(
% 0.13/0.39 ~defined(b)|sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f112])).
% 0.13/0.39 fof(f123,plain,(
% 0.13/0.39 $false|sQ4_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f114,f78])).
% 0.13/0.39 fof(f124,plain,(
% 0.13/0.39 sQ4_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f123])).
% 0.13/0.39 fof(f180,plain,(
% 0.13/0.39 ![X0]: (~defined(b)|~equalish(d,X0)|~equalish(multiply(X0,b),c))),
% 0.13/0.39 inference(resolution,[status(thm)],[f73,f91])).
% 0.13/0.39 fof(f185,definition,(
% 0.13/0.39 ![X0]: (sQ16_spl <=> (~equalish(d,X0)|~equalish(multiply(X0,b),c)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f186,plain,(
% 0.13/0.39 ![X0]: (~equalish(d,X0)|~equalish(multiply(X0,b),c)|~sQ16_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f185])).
% 0.13/0.39 fof(f188,plain,(
% 0.13/0.39 ~sQ4_spl|sQ16_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f180,f112,f185])).
% 0.13/0.39 fof(f231,plain,(
% 0.13/0.39 ~equalish(d,a)|~sQ16_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f186,f81])).
% 0.13/0.39 fof(f235,plain,(
% 0.13/0.39 ~equalish(a,d)|~sQ16_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f231,f67])).
% 0.13/0.39 fof(f236,plain,(
% 0.13/0.39 $false|~sQ16_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f235,f82])).
% 0.13/0.39 fof(f237,plain,(
% 0.13/0.39 ~sQ16_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f236])).
% 0.13/0.39 fof(f238,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f124,f188,f237])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.037718 seconds
% 0.13/0.41 % CPU time: 0.101477 seconds
% 0.13/0.41 % Total memory used: 13.910 MB
% 0.13/0.41 % Net memory used: 13.766 MB
%------------------------------------------------------------------------------