%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD067-4 : 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 : n013.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 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD067-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.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 15:43:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f4,axiom,(
% 0.09/0.40 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,axiom,(
% 0.09/0.40 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f24,axiom,(
% 0.09/0.40 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f27,hypothesis,(
% 0.09/0.40 defined(a) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f30,negated_conjecture,(
% 0.09/0.40 less_or_equal(a,b) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f31,negated_conjecture,(
% 0.09/0.40 sum(b,additive_inverse(a),u) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f32,negated_conjecture,(
% 0.09/0.40 ~ less_or_equal(additive_identity,u) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f38,plain,(
% 0.09/0.40 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f39,plain,(
% 0.09/0.40 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f68,plain,(
% 0.09/0.40 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f24])).
% 0.09/0.40 fof(f69,plain,(
% 0.09/0.40 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f68])).
% 0.09/0.40 fof(f72,plain,(
% 0.09/0.40 defined(a)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.40 fof(f75,plain,(
% 0.09/0.40 less_or_equal(a,b)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.09/0.40 fof(f76,plain,(
% 0.09/0.40 sum(b,additive_inverse(a),u)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.09/0.40 fof(f77,plain,(
% 0.09/0.40 ~less_or_equal(additive_identity,u)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.40 fof(f213,plain,(
% 0.09/0.40 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(b,X2,X1))),
% 0.09/0.40 inference(resolution,[status(thm)],[f69,f75])).
% 0.09/0.40 fof(f217,plain,(
% 0.09/0.40 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(b,X2,X1)|~sum(X2,a,X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f213,f39])).
% 0.09/0.40 fof(f220,plain,(
% 0.09/0.40 ![X0]: (less_or_equal(X0,u)|~sum(additive_inverse(a),a,X0))),
% 0.09/0.40 inference(resolution,[status(thm)],[f217,f76])).
% 0.09/0.40 fof(f225,plain,(
% 0.09/0.40 less_or_equal(additive_identity,u)|~defined(a)),
% 0.09/0.40 inference(resolution,[status(thm)],[f220,f38])).
% 0.09/0.40 fof(f230,definition,(
% 0.09/0.40 sQ21_spl <=> (less_or_equal(additive_identity,u))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f231,plain,(
% 0.09/0.40 less_or_equal(additive_identity,u)|~sQ21_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f230])).
% 0.09/0.40 fof(f233,definition,(
% 0.09/0.40 sQ22_spl <=> (defined(a))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f235,plain,(
% 0.09/0.40 ~defined(a)|sQ22_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f233])).
% 0.09/0.40 fof(f236,plain,(
% 0.09/0.40 sQ21_spl|~sQ22_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f225,f230,f233])).
% 0.09/0.40 fof(f237,plain,(
% 0.09/0.40 $false|~sQ21_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f231,f77])).
% 0.09/0.40 fof(f238,plain,(
% 0.09/0.40 ~sQ21_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f237])).
% 0.09/0.40 fof(f239,plain,(
% 0.09/0.40 $false|sQ22_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f235,f72])).
% 0.09/0.40 fof(f240,plain,(
% 0.09/0.40 sQ22_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f239])).
% 0.09/0.40 fof(f241,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f236,f238,f240])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.046052 seconds
% 0.09/0.42 % CPU time: 0.129788 seconds
% 0.09/0.42 % Total memory used: 16.700 MB
% 0.09/0.42 % Net memory used: 16.514 MB
%------------------------------------------------------------------------------