%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD065-3 : 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 12:22:29 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD065-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 15:45:59 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 0.03/0.38 % Refutation found
% 0.03/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.38 fof(f3,axiom,(
% 0.03/0.38 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.03/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f4,axiom,(
% 0.03/0.38 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.03/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f24,axiom,(
% 0.03/0.38 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.03/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f27,hypothesis,(
% 0.03/0.38 defined(a) ),
% 0.03/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f28,negated_conjecture,(
% 0.03/0.38 less_or_equal(additive_inverse(a),additive_identity) ),
% 0.03/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f29,negated_conjecture,(
% 0.03/0.38 ~ less_or_equal(additive_identity,a) ),
% 0.03/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.38 fof(f34,plain,(
% 0.03/0.38 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.38 fof(f35,plain,(
% 0.03/0.38 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.03/0.38 fof(f65,plain,(
% 0.03/0.38 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.03/0.38 inference(miniscoping,[status(thm)],[f24])).
% 0.03/0.38 fof(f66,plain,(
% 0.03/0.38 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f65])).
% 0.03/0.38 fof(f69,plain,(
% 0.03/0.38 defined(a)),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.03/0.38 fof(f70,plain,(
% 0.03/0.38 less_or_equal(additive_inverse(a),additive_identity)),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.03/0.38 fof(f71,plain,(
% 0.03/0.38 ~less_or_equal(additive_identity,a)),
% 0.03/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.03/0.38 fof(f106,definition,(
% 0.03/0.38 sQ5_spl <=> (less_or_equal(additive_identity,a))),
% 0.03/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.03/0.38 fof(f107,plain,(
% 0.03/0.38 less_or_equal(additive_identity,a)|~sQ5_spl),
% 0.03/0.38 inference(component_clause,[status(thm)],[f106])).
% 0.03/0.38 fof(f113,plain,(
% 0.03/0.38 $false|~sQ5_spl),
% 0.03/0.38 inference(forward_subsumption_resolution,[status(thm)],[f107,f71])).
% 0.03/0.38 fof(f114,plain,(
% 0.03/0.38 ~sQ5_spl),
% 0.03/0.38 inference(contradiction_clause,[status(thm)],[f113])).
% 0.03/0.38 fof(f128,plain,(
% 0.03/0.38 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(additive_inverse(a),X2,X0)|~sum(additive_identity,X2,X1))),
% 0.03/0.38 inference(resolution,[status(thm)],[f66,f70])).
% 0.03/0.38 fof(f189,definition,(
% 0.03/0.38 sQ10_spl <=> (defined(a))),
% 0.03/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.03/0.38 fof(f191,plain,(
% 0.03/0.38 ~defined(a)|sQ10_spl),
% 0.03/0.38 inference(component_clause,[status(thm)],[f189])).
% 0.03/0.38 fof(f193,plain,(
% 0.03/0.38 $false|sQ10_spl),
% 0.03/0.38 inference(forward_subsumption_resolution,[status(thm)],[f191,f69])).
% 0.03/0.38 fof(f194,plain,(
% 0.03/0.38 sQ10_spl),
% 0.03/0.38 inference(contradiction_clause,[status(thm)],[f193])).
% 0.03/0.38 fof(f196,plain,(
% 0.03/0.38 ![X0]: (less_or_equal(additive_identity,X0)|~sum(additive_identity,a,X0)|~defined(a))),
% 0.03/0.38 inference(resolution,[status(thm)],[f128,f35])).
% 0.03/0.38 fof(f202,definition,(
% 0.03/0.38 ![X0]: (sQ11_spl <=> (less_or_equal(additive_identity,X0)|~sum(additive_identity,a,X0)))),
% 0.03/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.03/0.38 fof(f203,plain,(
% 0.03/0.38 ![X0]: (less_or_equal(additive_identity,X0)|~sum(additive_identity,a,X0)|~sQ11_spl)),
% 0.03/0.38 inference(component_clause,[status(thm)],[f202])).
% 0.03/0.38 fof(f205,plain,(
% 0.03/0.38 sQ11_spl|~sQ10_spl),
% 0.03/0.38 inference(split_clause,[status(thm)],[f196,f202,f189])).
% 0.03/0.38 fof(f215,plain,(
% 0.03/0.38 less_or_equal(additive_identity,a)|~defined(a)|~sQ11_spl),
% 0.03/0.38 inference(resolution,[status(thm)],[f203,f34])).
% 0.03/0.38 fof(f225,plain,(
% 0.03/0.38 sQ5_spl|~sQ10_spl|~sQ11_spl),
% 0.03/0.38 inference(split_clause,[status(thm)],[f215,f106,f189,f202])).
% 0.03/0.38 fof(f233,plain,(
% 0.03/0.38 $false),
% 0.03/0.38 inference(sat_refutation,[status(thm)],[f114,f194,f205,f225])).
% 0.03/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.40 % Elapsed time: 0.030517 seconds
% 0.03/0.40 % CPU time: 0.069350 seconds
% 0.03/0.40 % Total memory used: 4.347 MB
% 0.03/0.40 % Net memory used: 4.315 MB
%------------------------------------------------------------------------------