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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV077+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n026.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 02:50:02 PM UTC 2026

% Result   : Theorem 0.09s 0.41s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV077+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n026.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 08:32:22 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.09/0.41  % Refutation found
% 0.09/0.41  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41  fof(f51,axiom,(
% 0.09/0.41    true ),
% 0.09/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f53,conjecture,(
% 0.09/0.41    ( ( leq(n0,pv31)& leq(pv31,minus(n5,n1)) )=> ( leq(n0,pv31)& leq(pv31,minus(n5,n1))& ( n0 != pv40=> ( leq(n0,pv31)& leq(pv31,minus(n5,n1)) ) )& ( n0 = pv40=> true ) ) ) ),
% 0.09/0.41    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41  fof(f54,negated_conjecture,(
% 0.09/0.41    ~(( ( leq(n0,pv31)& leq(pv31,minus(n5,n1)) )=> ( leq(n0,pv31)& leq(pv31,minus(n5,n1))& ( n0 != pv40=> ( leq(n0,pv31)& leq(pv31,minus(n5,n1)) ) )& ( n0 = pv40=> true ) ) ) )),
% 0.09/0.41    inference(negated_conjecture,[status(cth)],[f53])).
% 0.09/0.41  fof(f242,plain,(
% 0.09/0.41    true),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f51])).
% 0.09/0.41  fof(f244,plain,(
% 0.09/0.41    ((leq(n0,pv31)&leq(pv31,minus(n5,n1)))&(((~leq(n0,pv31)|~leq(pv31,minus(n5,n1)))|(~n0=pv40&(~leq(n0,pv31)|~leq(pv31,minus(n5,n1)))))|(n0=pv40&~true)))),
% 0.09/0.41    inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.09/0.41  fof(f245,definition,(
% 0.09/0.41    sP3_prd<=>(~n0=pv40&(~leq(n0,pv31)|~leq(pv31,minus(n5,n1))))),
% 0.09/0.41    introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.09/0.41  fof(f246,plain,(
% 0.09/0.41    (leq(n0,pv31)&leq(pv31,minus(n5,n1)))&(((~leq(n0,pv31)|~leq(pv31,minus(n5,n1)))|sP3_prd)|(n0=pv40&~true))),
% 0.09/0.41    inference(formula_renaming,[status(thm)],[f244,f245])).
% 0.09/0.41  fof(f247,plain,(
% 0.09/0.41    leq(n0,pv31)),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f246])).
% 0.09/0.41  fof(f248,plain,(
% 0.09/0.41    leq(pv31,minus(n5,n1))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f246])).
% 0.09/0.41  fof(f250,plain,(
% 0.09/0.41    ~leq(n0,pv31)|~leq(pv31,minus(n5,n1))|sP3_prd|~true),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f246])).
% 0.09/0.41  fof(f317,plain,(
% 0.09/0.41    (~sP3_prd|(~n0=pv40&(~leq(n0,pv31)|~leq(pv31,minus(n5,n1)))))&(sP3_prd|(n0=pv40|(leq(n0,pv31)&leq(pv31,minus(n5,n1)))))),
% 0.09/0.41    inference(NNF_transformation,[status(thm)],[f245])).
% 0.09/0.41  fof(f319,plain,(
% 0.09/0.41    ~sP3_prd|~leq(n0,pv31)|~leq(pv31,minus(n5,n1))),
% 0.09/0.41    inference(cnf_transformation,[status(thm)],[f317])).
% 0.09/0.41  fof(f330,definition,(
% 0.09/0.41    sQ0_spl <=> (leq(n0,pv31))),
% 0.09/0.41    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.41  fof(f332,plain,(
% 0.09/0.41    ~leq(n0,pv31)|sQ0_spl),
% 0.09/0.41    inference(component_clause,[status(thm)],[f330])).
% 0.09/0.41  fof(f333,definition,(
% 0.09/0.41    sQ1_spl <=> (leq(pv31,minus(n5,n1)))),
% 0.09/0.41    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.41  fof(f335,plain,(
% 0.09/0.41    ~leq(pv31,minus(n5,n1))|sQ1_spl),
% 0.09/0.41    inference(component_clause,[status(thm)],[f333])).
% 0.09/0.41  fof(f336,definition,(
% 0.09/0.41    sQ2_spl <=> (sP3_prd)),
% 0.09/0.41    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.41  fof(f343,definition,(
% 0.09/0.41    sQ4_spl <=> (true)),
% 0.09/0.41    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.41  fof(f345,plain,(
% 0.09/0.41    ~true|sQ4_spl),
% 0.09/0.41    inference(component_clause,[status(thm)],[f343])).
% 0.09/0.41  fof(f346,plain,(
% 0.09/0.41    ~sQ0_spl|~sQ1_spl|sQ2_spl|~sQ4_spl),
% 0.09/0.41    inference(split_clause,[status(thm)],[f250,f330,f333,f336,f343])).
% 0.09/0.41  fof(f348,plain,(
% 0.09/0.41    ~sQ2_spl|~sQ0_spl|~sQ1_spl),
% 0.09/0.41    inference(split_clause,[status(thm)],[f319,f336,f330,f333])).
% 0.09/0.41  fof(f353,plain,(
% 0.09/0.41    $false|sQ4_spl),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f242,f345])).
% 0.09/0.41  fof(f354,plain,(
% 0.09/0.41    sQ4_spl),
% 0.09/0.41    inference(contradiction_clause,[status(thm)],[f353])).
% 0.09/0.41  fof(f355,plain,(
% 0.09/0.41    $false|sQ0_spl),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f332,f247])).
% 0.09/0.41  fof(f356,plain,(
% 0.09/0.41    sQ0_spl),
% 0.09/0.41    inference(contradiction_clause,[status(thm)],[f355])).
% 0.09/0.41  fof(f357,plain,(
% 0.09/0.41    $false|sQ1_spl),
% 0.09/0.41    inference(forward_subsumption_resolution,[status(thm)],[f335,f248])).
% 0.09/0.41  fof(f358,plain,(
% 0.09/0.41    sQ1_spl),
% 0.09/0.41    inference(contradiction_clause,[status(thm)],[f357])).
% 0.09/0.41  fof(f359,plain,(
% 0.09/0.41    $false),
% 0.09/0.41    inference(sat_refutation,[status(thm)],[f346,f348,f354,f356,f358])).
% 0.09/0.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43  % Elapsed time: 0.062385 seconds
% 0.09/0.43  % CPU time: 0.165855 seconds
% 0.09/0.43  % Total memory used: 105.144 MB
% 0.09/0.43  % Net memory used: 104.953 MB
%------------------------------------------------------------------------------