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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV075+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 : n006.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 0.16s 0.49s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWV075+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43  % Computer : n006.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Mon Sep 21 08:29:42 UTC 2026
% 0.16/0.44  % CPUTime  : 
% 0.16/0.47  % Drodi V4.1.1
% 0.16/0.49  % Refutation found
% 0.16/0.49  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.49  % SZS output start CNFRefutation for theBenchmark
% 0.16/0.49  fof(f53,conjecture,(
% 0.16/0.49    ( ( leq(n0,pv31)& leq(n0,pv37)& leq(pv31,minus(n5,n1))& leq(pv37,minus(n135300,n1)) )=> ( leq(n0,pv31)& leq(n0,pv37)& leq(pv31,minus(n5,n1))& leq(pv37,minus(n135300,n1)) ) ) ),
% 0.16/0.49    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49  fof(f54,negated_conjecture,(
% 0.16/0.49    ~(( ( leq(n0,pv31)& leq(n0,pv37)& leq(pv31,minus(n5,n1))& leq(pv37,minus(n135300,n1)) )=> ( leq(n0,pv31)& leq(n0,pv37)& leq(pv31,minus(n5,n1))& leq(pv37,minus(n135300,n1)) ) ) )),
% 0.16/0.49    inference(negated_conjecture,[status(cth)],[f53])).
% 0.16/0.49  fof(f251,plain,(
% 0.16/0.49    ((((leq(n0,pv31)&leq(n0,pv37))&leq(pv31,minus(n5,n1)))&leq(pv37,minus(n135300,n1)))&(((~leq(n0,pv31)|~leq(n0,pv37))|~leq(pv31,minus(n5,n1)))|~leq(pv37,minus(n135300,n1))))),
% 0.16/0.49    inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.16/0.49  fof(f252,plain,(
% 0.16/0.49    leq(n0,pv31)),
% 0.16/0.49    inference(cnf_transformation,[status(thm)],[f251])).
% 0.16/0.49  fof(f253,plain,(
% 0.16/0.49    leq(n0,pv37)),
% 0.16/0.49    inference(cnf_transformation,[status(thm)],[f251])).
% 0.16/0.49  fof(f254,plain,(
% 0.16/0.49    leq(pv31,minus(n5,n1))),
% 0.16/0.49    inference(cnf_transformation,[status(thm)],[f251])).
% 0.16/0.49  fof(f255,plain,(
% 0.16/0.49    leq(pv37,minus(n135300,n1))),
% 0.16/0.49    inference(cnf_transformation,[status(thm)],[f251])).
% 0.16/0.49  fof(f256,plain,(
% 0.16/0.49    ~leq(n0,pv31)|~leq(n0,pv37)|~leq(pv31,minus(n5,n1))|~leq(pv37,minus(n135300,n1))),
% 0.16/0.49    inference(cnf_transformation,[status(thm)],[f251])).
% 0.16/0.49  fof(f338,definition,(
% 0.16/0.49    sQ0_spl <=> (leq(n0,pv31))),
% 0.16/0.49    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.49  fof(f340,plain,(
% 0.16/0.49    ~leq(n0,pv31)|sQ0_spl),
% 0.16/0.49    inference(component_clause,[status(thm)],[f338])).
% 0.16/0.49  fof(f341,definition,(
% 0.16/0.49    sQ1_spl <=> (leq(n0,pv37))),
% 0.16/0.49    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.49  fof(f343,plain,(
% 0.16/0.49    ~leq(n0,pv37)|sQ1_spl),
% 0.16/0.49    inference(component_clause,[status(thm)],[f341])).
% 0.16/0.49  fof(f344,definition,(
% 0.16/0.49    sQ2_spl <=> (leq(pv31,minus(n5,n1)))),
% 0.16/0.49    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/0.49  fof(f346,plain,(
% 0.16/0.49    ~leq(pv31,minus(n5,n1))|sQ2_spl),
% 0.16/0.49    inference(component_clause,[status(thm)],[f344])).
% 0.16/0.49  fof(f347,definition,(
% 0.16/0.49    sQ3_spl <=> (leq(pv37,minus(n135300,n1)))),
% 0.16/0.49    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/0.49  fof(f349,plain,(
% 0.16/0.49    ~leq(pv37,minus(n135300,n1))|sQ3_spl),
% 0.16/0.49    inference(component_clause,[status(thm)],[f347])).
% 0.16/0.49  fof(f350,plain,(
% 0.16/0.49    ~sQ0_spl|~sQ1_spl|~sQ2_spl|~sQ3_spl),
% 0.16/0.49    inference(split_clause,[status(thm)],[f256,f338,f341,f344,f347])).
% 0.16/0.49  fof(f353,plain,(
% 0.16/0.49    $false|sQ3_spl),
% 0.16/0.49    inference(forward_subsumption_resolution,[status(thm)],[f349,f255])).
% 0.16/0.49  fof(f354,plain,(
% 0.16/0.49    sQ3_spl),
% 0.16/0.49    inference(contradiction_clause,[status(thm)],[f353])).
% 0.16/0.49  fof(f355,plain,(
% 0.16/0.49    $false|sQ2_spl),
% 0.16/0.49    inference(forward_subsumption_resolution,[status(thm)],[f346,f254])).
% 0.16/0.49  fof(f356,plain,(
% 0.16/0.49    sQ2_spl),
% 0.16/0.49    inference(contradiction_clause,[status(thm)],[f355])).
% 0.16/0.49  fof(f357,plain,(
% 0.16/0.49    $false|sQ0_spl),
% 0.16/0.49    inference(forward_subsumption_resolution,[status(thm)],[f340,f252])).
% 0.16/0.49  fof(f358,plain,(
% 0.16/0.49    sQ0_spl),
% 0.16/0.49    inference(contradiction_clause,[status(thm)],[f357])).
% 0.16/0.49  fof(f359,plain,(
% 0.16/0.49    $false|sQ1_spl),
% 0.16/0.49    inference(forward_subsumption_resolution,[status(thm)],[f343,f253])).
% 0.16/0.49  fof(f360,plain,(
% 0.16/0.49    sQ1_spl),
% 0.16/0.49    inference(contradiction_clause,[status(thm)],[f359])).
% 0.16/0.49  fof(f361,plain,(
% 0.16/0.49    $false),
% 0.16/0.49    inference(sat_refutation,[status(thm)],[f350,f354,f356,f358,f360])).
% 0.16/0.49  % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.54  % Elapsed time: 0.095170 seconds
% 0.16/0.54  % CPU time: 0.102461 seconds
% 0.16/0.54  % Total memory used: 3.411 MB
% 0.16/0.54  % Net memory used: 3.407 MB
%------------------------------------------------------------------------------