%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : FLD017-3 : 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 : n007.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 12:22:19 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD017-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 15:36:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f29,hypothesis,(
% 0.13/0.40 defined(c) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f31,negated_conjecture,(
% 0.13/0.40 sum(additive_identity,a,x) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f32,negated_conjecture,(
% 0.13/0.40 sum(a,b,c) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f33,negated_conjecture,(
% 0.13/0.40 ~ sum(x,b,c) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f36,plain,(
% 0.13/0.40 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f2])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f36])).
% 0.13/0.40 fof(f38,plain,(
% 0.13/0.40 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 defined(c)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.40 fof(f77,plain,(
% 0.13/0.40 sum(additive_identity,a,x)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 sum(a,b,c)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.40 fof(f79,plain,(
% 0.13/0.40 ~sum(x,b,c)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.40 fof(f81,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~sum(X0,X1,x)|~sum(X1,b,X2)|~sum(X0,X2,c))),
% 0.13/0.40 inference(resolution,[status(thm)],[f37,f79])).
% 0.13/0.40 fof(f93,plain,(
% 0.13/0.40 ![X0]: (~sum(additive_identity,X0,x)|~sum(X0,b,c)|~defined(c))),
% 0.13/0.40 inference(resolution,[status(thm)],[f81,f38])).
% 0.13/0.40 fof(f97,definition,(
% 0.13/0.40 ![X0]: (sQ0_spl <=> (~sum(additive_identity,X0,x)|~sum(X0,b,c)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 ![X0]: (~sum(additive_identity,X0,x)|~sum(X0,b,c)|~sQ0_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.40 fof(f100,definition,(
% 0.13/0.40 sQ1_spl <=> (defined(c))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f102,plain,(
% 0.13/0.40 ~defined(c)|sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f100])).
% 0.13/0.40 fof(f103,plain,(
% 0.13/0.40 sQ0_spl|~sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f93,f97,f100])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 ~sum(additive_identity,a,x)|~sQ0_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f98,f78])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 $false|~sQ0_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f118,f77])).
% 0.13/0.40 fof(f123,plain,(
% 0.13/0.40 ~sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f122])).
% 0.13/0.40 fof(f124,plain,(
% 0.13/0.40 $false|sQ1_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f102,f75])).
% 0.13/0.40 fof(f125,plain,(
% 0.13/0.40 sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f124])).
% 0.13/0.40 fof(f126,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f103,f123,f125])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.052874 seconds
% 0.13/0.43 % CPU time: 0.120966 seconds
% 0.13/0.43 % Total memory used: 17.843 MB
% 0.13/0.43 % Net memory used: 17.656 MB
%------------------------------------------------------------------------------