%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD069-3 : 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 : n018.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 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD069-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.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 15:46:44 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f3,axiom,(
% 0.14/0.41 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f21,axiom,(
% 0.14/0.41 (![X,Y]: (( sum(additive_identity,X,Y)| ~ less_or_equal(X,Y)| ~ less_or_equal(Y,X) ) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f24,axiom,(
% 0.14/0.41 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f28,hypothesis,(
% 0.14/0.41 defined(b) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f29,negated_conjecture,(
% 0.14/0.41 less_or_equal(additive_identity,a) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f30,negated_conjecture,(
% 0.14/0.41 less_or_equal(additive_identity,b) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f31,negated_conjecture,(
% 0.14/0.41 ~ sum(additive_identity,b,additive_identity) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f32,negated_conjecture,(
% 0.14/0.41 sum(a,b,additive_identity) ),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f37,plain,(
% 0.14/0.41 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.41 fof(f63,plain,(
% 0.14/0.41 ![X0,X1]: (sum(additive_identity,X0,X1)|~less_or_equal(X0,X1)|~less_or_equal(X1,X0))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.41 fof(f68,plain,(
% 0.14/0.41 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f24])).
% 0.14/0.41 fof(f69,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.41 fof(f73,plain,(
% 0.14/0.41 defined(b)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 less_or_equal(additive_identity,a)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.41 fof(f75,plain,(
% 0.14/0.41 less_or_equal(additive_identity,b)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 ~sum(additive_identity,b,additive_identity)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/0.41 fof(f77,plain,(
% 0.14/0.41 sum(a,b,additive_identity)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.14/0.41 fof(f96,plain,(
% 0.14/0.41 sum(additive_identity,b,b)),
% 0.14/0.41 inference(resolution,[status(thm)],[f37,f73])).
% 0.14/0.41 fof(f228,definition,(
% 0.14/0.41 sQ27_spl <=> (less_or_equal(b,additive_identity))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f274,definition,(
% 0.14/0.41 sQ37_spl <=> (less_or_equal(additive_identity,a))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f276,plain,(
% 0.14/0.41 ~less_or_equal(additive_identity,a)|sQ37_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f274])).
% 0.14/0.41 fof(f482,definition,(
% 0.14/0.41 sQ75_spl <=> (sum(additive_identity,b,additive_identity))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f483,plain,(
% 0.14/0.41 sum(additive_identity,b,additive_identity)|~sQ75_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f482])).
% 0.14/0.41 fof(f540,plain,(
% 0.14/0.41 $false|~sQ75_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f483,f76])).
% 0.14/0.41 fof(f541,plain,(
% 0.14/0.41 ~sQ75_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f540])).
% 0.14/0.41 fof(f558,plain,(
% 0.14/0.41 sum(additive_identity,b,additive_identity)|~less_or_equal(b,additive_identity)),
% 0.14/0.41 inference(resolution,[status(thm)],[f63,f75])).
% 0.14/0.41 fof(f569,plain,(
% 0.14/0.41 sQ75_spl|~sQ27_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f558,f482,f228])).
% 0.14/0.41 fof(f577,plain,(
% 0.14/0.41 ![X0,X1]: (less_or_equal(X0,additive_identity)|~less_or_equal(X1,a)|~sum(X1,b,X0))),
% 0.14/0.41 inference(resolution,[status(thm)],[f69,f77])).
% 0.14/0.41 fof(f1090,plain,(
% 0.14/0.41 less_or_equal(b,additive_identity)|~less_or_equal(additive_identity,a)),
% 0.14/0.41 inference(resolution,[status(thm)],[f96,f577])).
% 0.14/0.41 fof(f1104,plain,(
% 0.14/0.41 sQ27_spl|~sQ37_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f1090,f228,f274])).
% 0.14/0.41 fof(f1105,plain,(
% 0.14/0.41 $false|sQ37_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f276,f74])).
% 0.14/0.41 fof(f1106,plain,(
% 0.14/0.41 sQ37_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f1105])).
% 0.14/0.41 fof(f1107,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f541,f569,f1104,f1106])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.059368 seconds
% 0.14/0.43 % CPU time: 0.172592 seconds
% 0.14/0.43 % Total memory used: 18.610 MB
% 0.14/0.43 % Net memory used: 18.393 MB
%------------------------------------------------------------------------------