%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD055-3 : 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 : n008.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 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD055-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n008.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 15:43:10 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f3,axiom,(
% 0.17/0.48 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f5,axiom,(
% 0.17/0.48 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f24,axiom,(
% 0.17/0.48 (![U,V,X,Y,Z]: (( less_or_equal(U,V)| ~ less_or_equal(X,Y)| ~ sum(X,Z,U)| ~ sum(Y,Z,V) ) ))),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f27,hypothesis,(
% 0.17/0.48 defined(a) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f30,negated_conjecture,(
% 0.17/0.48 less_or_equal(a,b) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f31,negated_conjecture,(
% 0.17/0.48 sum(additive_identity,b,c) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f32,negated_conjecture,(
% 0.17/0.48 ~ less_or_equal(a,c) ),
% 0.17/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f37,plain,(
% 0.17/0.48 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.17/0.48 fof(f39,plain,(
% 0.17/0.48 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.17/0.48 fof(f68,plain,(
% 0.17/0.48 ![V,Y,Z]: ((![U,X]: ((less_or_equal(U,V)|~less_or_equal(X,Y))|~sum(X,Z,U)))|~sum(Y,Z,V))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f24])).
% 0.17/0.48 fof(f69,plain,(
% 0.17/0.48 ![X0,X1,X2,X3,X4]: (less_or_equal(X0,X1)|~less_or_equal(X2,X3)|~sum(X2,X4,X0)|~sum(X3,X4,X1))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f68])).
% 0.17/0.48 fof(f72,plain,(
% 0.17/0.48 defined(a)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/0.48 fof(f75,plain,(
% 0.17/0.48 less_or_equal(a,b)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f30])).
% 0.17/0.48 fof(f76,plain,(
% 0.17/0.48 sum(additive_identity,b,c)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f31])).
% 0.17/0.48 fof(f77,plain,(
% 0.17/0.48 ~less_or_equal(a,c)),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f32])).
% 0.17/0.48 fof(f98,plain,(
% 0.17/0.48 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(b,X2,X1))),
% 0.17/0.48 inference(resolution,[status(thm)],[f69,f75])).
% 0.17/0.48 fof(f173,plain,(
% 0.17/0.48 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(a,X2,X0)|~sum(X2,b,X1))),
% 0.17/0.48 inference(resolution,[status(thm)],[f98,f39])).
% 0.17/0.48 fof(f177,plain,(
% 0.17/0.48 ![X0,X1,X2]: (less_or_equal(X0,X1)|~sum(X2,b,X1)|~sum(X2,a,X0))),
% 0.17/0.48 inference(resolution,[status(thm)],[f173,f39])).
% 0.17/0.48 fof(f182,plain,(
% 0.17/0.48 ![X0]: (less_or_equal(a,X0)|~sum(additive_identity,b,X0)|~defined(a))),
% 0.17/0.48 inference(resolution,[status(thm)],[f177,f37])).
% 0.17/0.48 fof(f190,definition,(
% 0.17/0.48 sQ12_spl <=> (defined(a))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f192,plain,(
% 0.17/0.48 ~defined(a)|sQ12_spl),
% 0.17/0.48 inference(component_clause,[status(thm)],[f190])).
% 0.17/0.48 fof(f201,definition,(
% 0.17/0.48 ![X0]: (sQ15_spl <=> (less_or_equal(a,X0)|~sum(additive_identity,b,X0)))),
% 0.17/0.48 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.17/0.48 fof(f202,plain,(
% 0.17/0.48 ![X0]: (less_or_equal(a,X0)|~sum(additive_identity,b,X0)|~sQ15_spl)),
% 0.17/0.48 inference(component_clause,[status(thm)],[f201])).
% 0.17/0.48 fof(f204,plain,(
% 0.17/0.48 sQ15_spl|~sQ12_spl),
% 0.17/0.48 inference(split_clause,[status(thm)],[f182,f201,f190])).
% 0.17/0.48 fof(f205,plain,(
% 0.17/0.48 $false|sQ12_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f192,f72])).
% 0.17/0.48 fof(f206,plain,(
% 0.17/0.48 sQ12_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f205])).
% 0.17/0.48 fof(f212,plain,(
% 0.17/0.48 less_or_equal(a,c)|~sQ15_spl),
% 0.17/0.48 inference(resolution,[status(thm)],[f202,f76])).
% 0.17/0.48 fof(f220,plain,(
% 0.17/0.48 $false|~sQ15_spl),
% 0.17/0.48 inference(forward_subsumption_resolution,[status(thm)],[f212,f77])).
% 0.17/0.48 fof(f221,plain,(
% 0.17/0.48 ~sQ15_spl),
% 0.17/0.48 inference(contradiction_clause,[status(thm)],[f220])).
% 0.17/0.48 fof(f222,plain,(
% 0.17/0.48 $false),
% 0.17/0.48 inference(sat_refutation,[status(thm)],[f204,f206,f221])).
% 0.17/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.55 % Elapsed time: 0.098617 seconds
% 0.23/0.55 % CPU time: 0.098009 seconds
% 0.23/0.55 % Total memory used: 2.988 MB
% 0.23/0.55 % Net memory used: 2.974 MB
%------------------------------------------------------------------------------