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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : HWV005-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n012.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 12:45:54 PM UTC 2026

% Result   : Unsatisfiable 0.05s 0.95s
% Output   : CNFRefutation 0.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  131 (  19 unt;  17 def)
%            Number of atoms       :  285 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  286 ( 132   ~; 137   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   29 (  28 usr;  18 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   1 con; 0-1 aty)
%            Number of variables   :   53 (  53   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [P1,P2] :
      ( zero(P2)
      | ~ zero(P1)
      | ~ connection(P1,P2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [P1,P2] :
      ( one(P2)
      | ~ one(P1)
      | ~ connection(P1,P2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [P] :
      ( ~ one(P)
      | ~ zero(P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [K] :
      ( zero(in2(K))
      | zero(in1(K))
      | ~ zero(out1(K))
      | ~ and_ok(K) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [K] :
      ( abnormal(K)
      | and_ok(K)
      | ~ logic_and(K) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [K] :
      ( one(out1(K))
      | ~ one(in1(K))
      | ~ or_ok(K) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [K] :
      ( abnormal(K)
      | or_ok(K)
      | ~ logic_or(K) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,axiom,
    ! [K] :
      ( one(out1(K))
      | ~ zero(in1(K))
      | ~ not_ok(K) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [K] :
      ( abnormal(K)
      | not_ok(K)
      | ~ logic_not(K) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [X] :
      ( logic_and(and1(X))
      | ~ halfadder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [X] :
      ( logic_not(not1(X))
      | ~ halfadder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ! [X] :
      ( logic_or(or1(X))
      | ~ halfadder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    ! [X] :
      ( connection(in1(X),in1(or1(X)))
      | ~ halfadder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    ! [X] :
      ( connection(outs(X),out1(and1(X)))
      | ~ halfadder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    ! [X] :
      ( connection(outc(X),out1(and2(X)))
      | ~ halfadder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    ! [X] :
      ( connection(out1(or1(X)),in1(and1(X)))
      | ~ halfadder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,axiom,
    ! [X] :
      ( connection(out1(and2(X)),in1(not1(X)))
      | ~ halfadder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [X] :
      ( connection(out1(not1(X)),in2(and1(X)))
      | ~ halfadder(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,hypothesis,
    halfadder(h),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,hypothesis,
    one(in1(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,hypothesis,
    zero(outs(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,hypothesis,
    zero(outc(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,negated_conjecture,
    ~ abnormal(and1(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,negated_conjecture,
    ~ abnormal(not1(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,negated_conjecture,
    ~ abnormal(or1(h)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,plain,
    ! [P2] :
      ( zero(P2)
      | ! [P1] :
          ( ~ zero(P1)
          | ~ connection(P1,P2) ) ),
    inference(miniscoping,[status(thm)],[f1]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( zero(X1)
      | ~ zero(X0)
      | ~ connection(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f51,plain,
    ! [P2] :
      ( one(P2)
      | ! [P1] :
          ( ~ one(P1)
          | ~ connection(P1,P2) ) ),
    inference(miniscoping,[status(thm)],[f2]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( one(X1)
      | ~ one(X0)
      | ~ connection(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f51]) ).

fof(f57,plain,
    ! [X0] :
      ( ~ one(X0)
      | ~ zero(X0) ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f61,plain,
    ! [X0] :
      ( zero(in2(X0))
      | zero(in1(X0))
      | ~ zero(out1(X0))
      | ~ and_ok(X0) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f65,plain,
    ! [X0] :
      ( abnormal(X0)
      | and_ok(X0)
      | ~ logic_and(X0) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f66,plain,
    ! [X0] :
      ( one(out1(X0))
      | ~ one(in1(X0))
      | ~ or_ok(X0) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f73,plain,
    ! [X0] :
      ( abnormal(X0)
      | or_ok(X0)
      | ~ logic_or(X0) ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f74,plain,
    ! [X0] :
      ( one(out1(X0))
      | ~ zero(in1(X0))
      | ~ not_ok(X0) ),
    inference(cnf_transformation,[status(thm)],[f22]) ).

fof(f79,plain,
    ! [X0] :
      ( abnormal(X0)
      | not_ok(X0)
      | ~ logic_not(X0) ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f80,plain,
    ! [X0] :
      ( logic_and(and1(X0))
      | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f82,plain,
    ! [X0] :
      ( logic_not(not1(X0))
      | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f83,plain,
    ! [X0] :
      ( logic_or(or1(X0))
      | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f84,plain,
    ! [X0] :
      ( connection(in1(X0),in1(or1(X0)))
      | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f88,plain,
    ! [X0] :
      ( connection(outs(X0),out1(and1(X0)))
      | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f89,plain,
    ! [X0] :
      ( connection(outc(X0),out1(and2(X0)))
      | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f90,plain,
    ! [X0] :
      ( connection(out1(or1(X0)),in1(and1(X0)))
      | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f91,plain,
    ! [X0] :
      ( connection(out1(and2(X0)),in1(not1(X0)))
      | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(thm)],[f39]) ).

fof(f92,plain,
    ! [X0] :
      ( connection(out1(not1(X0)),in2(and1(X0)))
      | ~ halfadder(X0) ),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f93,plain,
    halfadder(h),
    inference(cnf_transformation,[status(thm)],[f41]) ).

fof(f94,plain,
    one(in1(h)),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f96,plain,
    zero(outs(h)),
    inference(cnf_transformation,[status(thm)],[f44]) ).

fof(f97,plain,
    zero(outc(h)),
    inference(cnf_transformation,[status(thm)],[f45]) ).

fof(f98,plain,
    ~ abnormal(and1(h)),
    inference(cnf_transformation,[status(thm)],[f46]) ).

fof(f99,plain,
    ~ abnormal(not1(h)),
    inference(cnf_transformation,[status(thm)],[f47]) ).

fof(f100,plain,
    ~ abnormal(or1(h)),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f103,plain,
    ! [X0] :
      ( zero(X0)
      | ~ connection(outs(h),X0) ),
    inference(resolution,[status(thm)],[f96,f50]) ).

fof(f104,plain,
    ! [X0] :
      ( zero(X0)
      | ~ connection(outc(h),X0) ),
    inference(resolution,[status(thm)],[f97,f50]) ).

fof(f105,plain,
    ! [X0] :
      ( one(X0)
      | ~ connection(in1(h),X0) ),
    inference(resolution,[status(thm)],[f52,f94]) ).

fof(f114,definition,
    ( sQ1_spl
  <=> halfadder(h) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f116,plain,
    ( sQ1_spl
    | ~ halfadder(h) ),
    inference(component_clause,[status(thm)],[f114]) ).

fof(f120,plain,
    ( ~ halfadder(h)
    | one(in1(or1(h))) ),
    inference(resolution,[status(thm)],[f105,f84]) ).

fof(f121,definition,
    ( sQ2_spl
  <=> one(in1(or1(h))) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f124,plain,
    ( ~ sQ1_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f120,f121,f114]) ).

fof(f125,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f116,f93]) ).

fof(f126,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f125]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ halfadder(X0)
      | abnormal(and1(X0))
      | and_ok(and1(X0)) ),
    inference(resolution,[status(thm)],[f65,f80]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ halfadder(X0)
      | abnormal(or1(X0))
      | or_ok(or1(X0)) ),
    inference(resolution,[status(thm)],[f73,f83]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ halfadder(X0)
      | abnormal(not1(X0))
      | not_ok(not1(X0)) ),
    inference(resolution,[status(thm)],[f79,f82]) ).

fof(f168,plain,
    ( zero(out1(and1(h)))
    | ~ halfadder(h) ),
    inference(resolution,[status(thm)],[f88,f103]) ).

fof(f169,definition,
    ( sQ8_spl
  <=> zero(out1(and1(h))) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f170,plain,
    ( ~ sQ8_spl
    | zero(out1(and1(h))) ),
    inference(component_clause,[status(thm)],[f169]) ).

fof(f172,plain,
    ( sQ8_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f168,f114,f169]) ).

fof(f194,plain,
    ( ~ sQ8_spl
    | zero(in2(and1(h)))
    | zero(in1(and1(h)))
    | ~ and_ok(and1(h)) ),
    inference(resolution,[status(thm)],[f170,f61]) ).

fof(f202,definition,
    ( sQ13_spl
  <=> one(in1(and1(h))) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f203,plain,
    ( ~ sQ13_spl
    | one(in1(and1(h))) ),
    inference(component_clause,[status(thm)],[f202]) ).

fof(f206,definition,
    ( sQ14_spl
  <=> and_ok(and1(h)) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f209,definition,
    ( sQ15_spl
  <=> zero(in1(and1(h))) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f210,plain,
    ( ~ sQ15_spl
    | zero(in1(and1(h))) ),
    inference(component_clause,[status(thm)],[f209]) ).

fof(f212,definition,
    ( sQ16_spl
  <=> zero(in2(and1(h))) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f213,plain,
    ( ~ sQ16_spl
    | zero(in2(and1(h))) ),
    inference(component_clause,[status(thm)],[f212]) ).

fof(f215,plain,
    ( ~ sQ8_spl
    | sQ16_spl
    | sQ15_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f194,f206,f209,f212,f169]) ).

fof(f221,plain,
    ( zero(out1(and2(h)))
    | ~ halfadder(h) ),
    inference(resolution,[status(thm)],[f89,f104]) ).

fof(f222,definition,
    ( sQ18_spl
  <=> zero(out1(and2(h))) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f223,plain,
    ( ~ sQ18_spl
    | zero(out1(and2(h))) ),
    inference(component_clause,[status(thm)],[f222]) ).

fof(f225,plain,
    ( sQ18_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f221,f114,f222]) ).

fof(f243,plain,
    ! [X0] :
      ( ~ sQ18_spl
      | zero(X0)
      | ~ connection(out1(and2(h)),X0) ),
    inference(resolution,[status(thm)],[f223,f50]) ).

fof(f278,plain,
    ( abnormal(and1(h))
    | and_ok(and1(h)) ),
    inference(resolution,[status(thm)],[f146,f93]) ).

fof(f279,definition,
    ( sQ28_spl
  <=> abnormal(and1(h)) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f280,plain,
    ( ~ sQ28_spl
    | abnormal(and1(h)) ),
    inference(component_clause,[status(thm)],[f279]) ).

fof(f282,plain,
    ( sQ28_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f278,f206,f279]) ).

fof(f283,plain,
    ( abnormal(or1(h))
    | or_ok(or1(h)) ),
    inference(resolution,[status(thm)],[f147,f93]) ).

fof(f284,definition,
    ( sQ29_spl
  <=> or_ok(or1(h)) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f285,plain,
    ( ~ sQ29_spl
    | or_ok(or1(h)) ),
    inference(component_clause,[status(thm)],[f284]) ).

fof(f287,definition,
    ( sQ30_spl
  <=> abnormal(or1(h)) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f288,plain,
    ( ~ sQ30_spl
    | abnormal(or1(h)) ),
    inference(component_clause,[status(thm)],[f287]) ).

fof(f290,plain,
    ( sQ30_spl
    | sQ29_spl ),
    inference(split_clause,[status(thm)],[f283,f284,f287]) ).

fof(f291,plain,
    ( abnormal(not1(h))
    | not_ok(not1(h)) ),
    inference(resolution,[status(thm)],[f148,f93]) ).

fof(f292,definition,
    ( sQ31_spl
  <=> not_ok(not1(h)) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f295,definition,
    ( sQ32_spl
  <=> abnormal(not1(h)) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f296,plain,
    ( ~ sQ32_spl
    | abnormal(not1(h)) ),
    inference(component_clause,[status(thm)],[f295]) ).

fof(f298,plain,
    ( sQ32_spl
    | sQ31_spl ),
    inference(split_clause,[status(thm)],[f291,f292,f295]) ).

fof(f299,plain,
    ( ~ sQ29_spl
    | one(out1(or1(h)))
    | ~ one(in1(or1(h))) ),
    inference(resolution,[status(thm)],[f285,f66]) ).

fof(f301,definition,
    ( sQ33_spl
  <=> one(out1(or1(h))) ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f302,plain,
    ( ~ sQ33_spl
    | one(out1(or1(h))) ),
    inference(component_clause,[status(thm)],[f301]) ).

fof(f304,plain,
    ( ~ sQ29_spl
    | sQ33_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f299,f121,f301,f284]) ).

fof(f305,plain,
    ( ~ sQ30_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f288,f100]) ).

fof(f306,plain,
    ~ sQ30_spl,
    inference(contradiction_clause,[status(thm)],[f305]) ).

fof(f316,plain,
    ( ~ sQ32_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f296,f99]) ).

fof(f317,plain,
    ~ sQ32_spl,
    inference(contradiction_clause,[status(thm)],[f316]) ).

fof(f329,plain,
    ! [X0] :
      ( ~ sQ33_spl
      | one(X0)
      | ~ connection(out1(or1(h)),X0) ),
    inference(resolution,[status(thm)],[f302,f52]) ).

fof(f347,plain,
    ( ~ sQ33_spl
    | ~ halfadder(h)
    | one(in1(and1(h))) ),
    inference(resolution,[status(thm)],[f329,f90]) ).

fof(f348,plain,
    ( ~ sQ33_spl
    | ~ sQ1_spl
    | sQ13_spl ),
    inference(split_clause,[status(thm)],[f347,f202,f114,f301]) ).

fof(f349,plain,
    ( ~ sQ18_spl
    | ~ halfadder(h)
    | zero(in1(not1(h))) ),
    inference(resolution,[status(thm)],[f243,f91]) ).

fof(f350,definition,
    ( sQ40_spl
  <=> zero(in1(not1(h))) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f351,plain,
    ( ~ sQ40_spl
    | zero(in1(not1(h))) ),
    inference(component_clause,[status(thm)],[f350]) ).

fof(f353,plain,
    ( ~ sQ18_spl
    | ~ sQ1_spl
    | sQ40_spl ),
    inference(split_clause,[status(thm)],[f349,f350,f114,f222]) ).

fof(f366,plain,
    ( ~ sQ13_spl
    | ~ zero(in1(and1(h))) ),
    inference(resolution,[status(thm)],[f203,f57]) ).

fof(f367,plain,
    ( ~ sQ13_spl
    | ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f366,f210]) ).

fof(f368,plain,
    ( ~ sQ13_spl
    | ~ sQ15_spl ),
    inference(contradiction_clause,[status(thm)],[f367]) ).

fof(f369,plain,
    ( ~ sQ28_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f280,f98]) ).

fof(f370,plain,
    ~ sQ28_spl,
    inference(contradiction_clause,[status(thm)],[f369]) ).

fof(f373,plain,
    ( ~ sQ40_spl
    | one(out1(not1(h)))
    | ~ not_ok(not1(h)) ),
    inference(resolution,[status(thm)],[f351,f74]) ).

fof(f378,definition,
    ( sQ41_spl
  <=> one(out1(not1(h))) ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f379,plain,
    ( ~ sQ41_spl
    | one(out1(not1(h))) ),
    inference(component_clause,[status(thm)],[f378]) ).

fof(f381,plain,
    ( ~ sQ40_spl
    | sQ41_spl
    | ~ sQ31_spl ),
    inference(split_clause,[status(thm)],[f373,f292,f378,f350]) ).

fof(f415,plain,
    ! [X0] :
      ( ~ sQ41_spl
      | one(X0)
      | ~ connection(out1(not1(h)),X0) ),
    inference(resolution,[status(thm)],[f379,f52]) ).

fof(f473,plain,
    ( ~ sQ41_spl
    | ~ halfadder(h)
    | one(in2(and1(h))) ),
    inference(resolution,[status(thm)],[f415,f92]) ).

fof(f474,definition,
    ( sQ55_spl
  <=> one(in2(and1(h))) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f475,plain,
    ( ~ sQ55_spl
    | one(in2(and1(h))) ),
    inference(component_clause,[status(thm)],[f474]) ).

fof(f477,plain,
    ( ~ sQ41_spl
    | ~ sQ1_spl
    | sQ55_spl ),
    inference(split_clause,[status(thm)],[f473,f474,f114,f378]) ).

fof(f482,plain,
    ( ~ sQ55_spl
    | ~ zero(in2(and1(h))) ),
    inference(resolution,[status(thm)],[f475,f57]) ).

fof(f485,plain,
    ( ~ sQ55_spl
    | ~ sQ16_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f482,f213]) ).

fof(f486,plain,
    ( ~ sQ55_spl
    | ~ sQ16_spl ),
    inference(contradiction_clause,[status(thm)],[f485]) ).

fof(f487,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f124,f126,f172,f215,f225,f282,f290,f298,f304,f306,f317,f348,f353,f368,f370,f381,f477,f486]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : HWV005-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.92  % Computer : n012.cluster.edu
% 0.05/0.92  % Model    : x86_64 x86_64
% 0.05/0.92  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.92  % Memory   : 8046.5625MB
% 0.05/0.92  % OS       : Linux 6.8.0-71-generic
% 0.05/0.92  % CPULimit : 300
% 0.05/0.92  % WCLimit  : 300
% 0.05/0.92  % DateTime : Sun Sep 20 20:46:54 UTC 2026
% 0.05/0.92  % CPUTime  : 
% 0.05/0.93  % Drodi V4.1.1
% 0.05/0.95  % Refutation found
% 0.05/0.95  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.05/0.95  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.05/0.97  % Elapsed time: 0.044764 seconds
% 0.05/0.97  % CPU time: 0.115599 seconds
% 0.05/0.97  % Total memory used: 17.931 MB
% 0.05/0.97  % Net memory used: 17.883 MB
%------------------------------------------------------------------------------