%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD058-1 : 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 12:22:27 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD058-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.41 % Computer : n005.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 21 15:43:33 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Drodi V4.1.1
% 0.15/0.46 % Refutation found
% 0.15/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.46 fof(f16,axiom,(
% 0.15/0.46 (![X,Y]: (( equalish(X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 0.15/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f22,axiom,(
% 0.15/0.46 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 0.15/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f23,axiom,(
% 0.15/0.46 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 0.15/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f26,axiom,(
% 0.15/0.46 (![Y,Z,X]: (( less_or_equal(Y,Z)| ~ less_or_equal(X,Z)| ~ equalish(X,Y) ) ))),
% 0.15/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f30,negated_conjecture,(
% 0.15/0.46 less_or_equal(additive_identity,a) ),
% 0.15/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f31,negated_conjecture,(
% 0.15/0.46 less_or_equal(a,b) ),
% 0.15/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f32,negated_conjecture,(
% 0.15/0.46 ~ equalish(a,additive_identity) ),
% 0.15/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f33,negated_conjecture,(
% 0.15/0.46 equalish(b,additive_identity) ),
% 0.15/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.46 fof(f56,plain,(
% 0.15/0.46 ![X0,X1]: (equalish(X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.46 fof(f66,plain,(
% 0.15/0.46 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.46 fof(f67,plain,(
% 0.15/0.46 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 0.15/0.46 inference(miniscoping,[status(thm)],[f23])).
% 0.15/0.46 fof(f68,plain,(
% 0.15/0.46 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f67])).
% 0.15/0.46 fof(f73,plain,(
% 0.15/0.46 ![Y,X]: ((![Z]: (less_or_equal(Y,Z)|~less_or_equal(X,Z)))|~equalish(X,Y))),
% 0.15/0.46 inference(miniscoping,[status(thm)],[f26])).
% 0.15/0.46 fof(f74,plain,(
% 0.15/0.46 ![X0,X1,X2]: (less_or_equal(X0,X1)|~less_or_equal(X2,X1)|~equalish(X2,X0))),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f73])).
% 0.15/0.46 fof(f78,plain,(
% 0.15/0.46 less_or_equal(additive_identity,a)),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.46 fof(f79,plain,(
% 0.15/0.46 less_or_equal(a,b)),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/0.46 fof(f80,plain,(
% 0.15/0.46 ~equalish(a,additive_identity)),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/0.46 fof(f81,plain,(
% 0.15/0.46 equalish(b,additive_identity)),
% 0.15/0.46 inference(cnf_transformation,[status(thm)],[f33])).
% 0.15/0.46 fof(f82,plain,(
% 0.15/0.46 ~equalish(additive_identity,a)),
% 0.15/0.46 inference(resolution,[status(thm)],[f66,f80])).
% 0.15/0.46 fof(f84,plain,(
% 0.15/0.46 equalish(b,a)|~less_or_equal(b,a)),
% 0.15/0.46 inference(resolution,[status(thm)],[f56,f79])).
% 0.15/0.46 fof(f86,definition,(
% 0.15/0.46 sQ0_spl <=> (equalish(b,a))),
% 0.15/0.46 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.46 fof(f87,plain,(
% 0.15/0.46 equalish(b,a)|~sQ0_spl),
% 0.15/0.46 inference(component_clause,[status(thm)],[f86])).
% 0.15/0.46 fof(f89,definition,(
% 0.15/0.46 sQ1_spl <=> (less_or_equal(b,a))),
% 0.15/0.46 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.46 fof(f91,plain,(
% 0.15/0.46 ~less_or_equal(b,a)|sQ1_spl),
% 0.15/0.46 inference(component_clause,[status(thm)],[f89])).
% 0.15/0.46 fof(f92,plain,(
% 0.15/0.46 sQ0_spl|~sQ1_spl),
% 0.15/0.46 inference(split_clause,[status(thm)],[f84,f86,f89])).
% 0.15/0.46 fof(f122,plain,(
% 0.15/0.46 ![X0]: (~equalish(additive_identity,X0)|~equalish(X0,a))),
% 0.15/0.46 inference(resolution,[status(thm)],[f68,f82])).
% 0.15/0.46 fof(f154,plain,(
% 0.15/0.46 ![X0]: (~equalish(X0,a)|~equalish(X0,additive_identity))),
% 0.15/0.46 inference(resolution,[status(thm)],[f122,f66])).
% 0.15/0.46 fof(f187,plain,(
% 0.15/0.46 ~equalish(b,additive_identity)|~sQ0_spl),
% 0.15/0.46 inference(resolution,[status(thm)],[f154,f87])).
% 0.15/0.46 fof(f199,plain,(
% 0.15/0.46 $false|~sQ0_spl),
% 0.15/0.46 inference(forward_subsumption_resolution,[status(thm)],[f187,f81])).
% 0.15/0.46 fof(f200,plain,(
% 0.15/0.46 ~sQ0_spl),
% 0.15/0.46 inference(contradiction_clause,[status(thm)],[f199])).
% 0.15/0.46 fof(f238,plain,(
% 0.15/0.46 ![X0]: (less_or_equal(X0,a)|~equalish(additive_identity,X0))),
% 0.15/0.46 inference(resolution,[status(thm)],[f74,f78])).
% 0.15/0.46 fof(f334,plain,(
% 0.15/0.46 ![X0]: (less_or_equal(X0,a)|~equalish(X0,additive_identity))),
% 0.15/0.46 inference(resolution,[status(thm)],[f238,f66])).
% 0.15/0.46 fof(f458,plain,(
% 0.15/0.47 less_or_equal(b,a)),
% 0.15/0.47 inference(resolution,[status(thm)],[f334,f81])).
% 0.15/0.47 fof(f470,plain,(
% 0.15/0.47 $false|sQ1_spl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f458,f91])).
% 0.15/0.47 fof(f471,plain,(
% 0.15/0.47 sQ1_spl),
% 0.15/0.47 inference(contradiction_clause,[status(thm)],[f470])).
% 0.15/0.47 fof(f472,plain,(
% 0.15/0.47 $false),
% 0.15/0.47 inference(sat_refutation,[status(thm)],[f92,f200,f471])).
% 0.15/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.49 % Elapsed time: 0.061189 seconds
% 0.15/0.49 % CPU time: 0.209981 seconds
% 0.15/0.49 % Total memory used: 18.810 MB
% 0.15/0.49 % Net memory used: 18.614 MB
%------------------------------------------------------------------------------