%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD030-1 : 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 : n020.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 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD030-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.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 15:39:33 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f22,axiom,(
% 0.08/0.37 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f25,axiom,(
% 0.08/0.37 (![X,Z,Y]: (( equalish(multiply(X,Z),multiply(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f29,hypothesis,(
% 0.08/0.37 defined(b) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f31,negated_conjecture,(
% 0.08/0.37 equalish(a,d) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f32,negated_conjecture,(
% 0.08/0.37 ~ equalish(multiply(d,b),multiply(a,b)) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f65,plain,(
% 0.08/0.37 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/0.37 fof(f70,plain,(
% 0.08/0.37 ![X,Y]: ((![Z]: (equalish(multiply(X,Z),multiply(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f25])).
% 0.08/0.37 fof(f71,plain,(
% 0.08/0.37 ![X0,X1,X2]: (equalish(multiply(X0,X1),multiply(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f70])).
% 0.08/0.37 fof(f76,plain,(
% 0.08/0.37 defined(b)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f29])).
% 0.08/0.37 fof(f78,plain,(
% 0.08/0.37 equalish(a,d)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f31])).
% 0.08/0.37 fof(f79,plain,(
% 0.08/0.37 ~equalish(multiply(d,b),multiply(a,b))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f32])).
% 0.08/0.37 fof(f82,plain,(
% 0.08/0.37 ~defined(b)|~equalish(d,a)),
% 0.08/0.37 inference(resolution,[status(thm)],[f71,f79])).
% 0.08/0.37 fof(f83,definition,(
% 0.08/0.37 sQ0_spl <=> (defined(b))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f85,plain,(
% 0.08/0.37 ~defined(b)|sQ0_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f83])).
% 0.08/0.37 fof(f86,definition,(
% 0.08/0.37 sQ1_spl <=> (equalish(d,a))),
% 0.08/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.37 fof(f88,plain,(
% 0.08/0.37 ~equalish(d,a)|sQ1_spl),
% 0.08/0.37 inference(component_clause,[status(thm)],[f86])).
% 0.08/0.37 fof(f89,plain,(
% 0.08/0.37 ~sQ0_spl|~sQ1_spl),
% 0.08/0.37 inference(split_clause,[status(thm)],[f82,f83,f86])).
% 0.08/0.37 fof(f90,plain,(
% 0.08/0.37 $false|sQ0_spl),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f85,f76])).
% 0.08/0.37 fof(f91,plain,(
% 0.08/0.37 sQ0_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f90])).
% 0.08/0.37 fof(f95,plain,(
% 0.08/0.37 ~equalish(a,d)|sQ1_spl),
% 0.08/0.37 inference(resolution,[status(thm)],[f88,f65])).
% 0.08/0.37 fof(f96,plain,(
% 0.08/0.37 $false|sQ1_spl),
% 0.08/0.37 inference(forward_subsumption_resolution,[status(thm)],[f95,f78])).
% 0.08/0.37 fof(f97,plain,(
% 0.08/0.37 sQ1_spl),
% 0.08/0.37 inference(contradiction_clause,[status(thm)],[f96])).
% 0.08/0.37 fof(f98,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(sat_refutation,[status(thm)],[f89,f91,f97])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.034436 seconds
% 0.13/0.40 % CPU time: 0.092766 seconds
% 0.13/0.40 % Total memory used: 17.382 MB
% 0.13/0.40 % Net memory used: 17.168 MB
%------------------------------------------------------------------------------