%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD071-3 : 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 : n007.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 12:22:30 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD071-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n007.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 15:42:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f20,axiom,(
% 0.14/0.38 (![X,Y]: (( product(X,Y,multiply(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f25,axiom,(
% 0.14/0.38 (![Z,X,Y]: (( less_or_equal(additive_identity,Z)| ~ less_or_equal(additive_identity,X)| ~ less_or_equal(additive_identity,Y)| ~ product(X,Y,Z) ) ))),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f27,hypothesis,(
% 0.14/0.38 defined(a) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f28,hypothesis,(
% 0.14/0.38 defined(b) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f29,negated_conjecture,(
% 0.14/0.38 less_or_equal(additive_identity,a) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f30,negated_conjecture,(
% 0.14/0.38 less_or_equal(additive_identity,b) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f31,negated_conjecture,(
% 0.14/0.38 ~ less_or_equal(additive_identity,multiply(a,b)) ),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f60,plain,(
% 0.14/0.38 ![Y]: ((![X]: (product(X,Y,multiply(X,Y))|~defined(X)))|~defined(Y))),
% 0.14/0.38 inference(miniscoping,[status(thm)],[f20])).
% 0.14/0.38 fof(f61,plain,(
% 0.14/0.38 ![X0,X1]: (product(X0,X1,multiply(X0,X1))|~defined(X0)|~defined(X1))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f60])).
% 0.14/0.38 fof(f69,plain,(
% 0.14/0.38 ![X0,X1,X2]: (less_or_equal(additive_identity,X0)|~less_or_equal(additive_identity,X1)|~less_or_equal(additive_identity,X2)|~product(X1,X2,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.38 fof(f71,plain,(
% 0.14/0.38 defined(a)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.38 fof(f72,plain,(
% 0.14/0.38 defined(b)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.38 fof(f73,plain,(
% 0.14/0.38 less_or_equal(additive_identity,a)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.38 fof(f74,plain,(
% 0.14/0.38 less_or_equal(additive_identity,b)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.38 fof(f75,plain,(
% 0.14/0.38 ~less_or_equal(additive_identity,multiply(a,b))),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.38 fof(f136,plain,(
% 0.14/0.38 ![X0,X1]: (less_or_equal(additive_identity,X0)|~less_or_equal(additive_identity,X1)|~product(X1,b,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f69,f74])).
% 0.14/0.38 fof(f184,plain,(
% 0.14/0.38 ![X0]: (less_or_equal(additive_identity,X0)|~product(a,b,X0))),
% 0.14/0.38 inference(resolution,[status(thm)],[f136,f73])).
% 0.14/0.38 fof(f210,definition,(
% 0.14/0.38 sQ13_spl <=> (defined(b))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f212,plain,(
% 0.14/0.38 ~defined(b)|sQ13_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f210])).
% 0.14/0.38 fof(f230,definition,(
% 0.14/0.38 sQ14_spl <=> (defined(a))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f232,plain,(
% 0.14/0.38 ~defined(a)|sQ14_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f230])).
% 0.14/0.38 fof(f241,plain,(
% 0.14/0.38 $false|sQ13_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f212,f72])).
% 0.14/0.38 fof(f242,plain,(
% 0.14/0.38 sQ13_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f241])).
% 0.14/0.38 fof(f243,plain,(
% 0.14/0.38 $false|sQ14_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f232,f71])).
% 0.14/0.38 fof(f244,plain,(
% 0.14/0.38 sQ14_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f243])).
% 0.14/0.38 fof(f296,plain,(
% 0.14/0.38 less_or_equal(additive_identity,multiply(a,b))|~defined(a)|~defined(b)),
% 0.14/0.38 inference(resolution,[status(thm)],[f184,f61])).
% 0.14/0.38 fof(f301,definition,(
% 0.14/0.38 sQ18_spl <=> (less_or_equal(additive_identity,multiply(a,b)))),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f302,plain,(
% 0.14/0.38 less_or_equal(additive_identity,multiply(a,b))|~sQ18_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f301])).
% 0.14/0.38 fof(f304,plain,(
% 0.14/0.38 sQ18_spl|~sQ14_spl|~sQ13_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f296,f301,f230,f210])).
% 0.14/0.38 fof(f305,plain,(
% 0.14/0.38 $false|~sQ18_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f302,f75])).
% 0.14/0.38 fof(f306,plain,(
% 0.14/0.38 ~sQ18_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f305])).
% 0.14/0.38 fof(f307,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f242,f244,f304,f306])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.045130 seconds
% 0.14/0.40 % CPU time: 0.135716 seconds
% 0.14/0.40 % Total memory used: 16.360 MB
% 0.14/0.40 % Net memory used: 16.120 MB
%------------------------------------------------------------------------------