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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : HWV008-2.001 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 : Tue Sep 29 10:58:54 AM UTC 2026

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  143 (  50 unt;   9 def)
%            Number of atoms       :  257 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  216 ( 102   ~; 105   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   21 (  20 usr;  10 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   1 con; 0-1 aty)
%            Number of variables   :   38 (   0 sgn  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ zero(X0)
      | ~ connection(X0,X1)
      | zero(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_zero1) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ one(X0)
      | ~ connection(X0,X1)
      | one(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_one1) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ one(X1)
      | ~ connection(X0,X1)
      | one(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ one(X0)
      | ~ zero(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',unique_value) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ and_ok(X0)
      | ~ one(out1(X0))
      | one(in1(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_1_1x) ).

fof(f13,axiom,
    ! [X0] :
      ( ~ logic_and(X0)
      | and_ok(X0)
      | abnormal(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_ok_or_abnormal) ).

fof(f17,axiom,
    ! [X0] :
      ( ~ or_ok(X0)
      | ~ one(out1(X0))
      | one(in1(X0))
      | one(in2(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_1_11) ).

fof(f21,axiom,
    ! [X0] :
      ( ~ logic_or(X0)
      | or_ok(X0)
      | abnormal(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_ok_or_abnormal) ).

fof(f29,axiom,
    ! [X0] :
      ( ~ halfadder(X0)
      | logic_and(and2(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_and2) ).

fof(f34,axiom,
    ! [X0] :
      ( ~ halfadder(X0)
      | connection(in1(X0),in1(and2(X0))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1and2) ).

fof(f37,axiom,
    ! [X0] :
      ( ~ halfadder(X0)
      | connection(outc(X0),out1(and2(X0))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outc_out1and2) ).

fof(f41,axiom,
    ! [X0] :
      ( ~ fulladder(X0)
      | halfadder(h1(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder1) ).

fof(f42,axiom,
    ! [X0] :
      ( ~ fulladder(X0)
      | halfadder(h2(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder2) ).

fof(f43,axiom,
    ! [X0] :
      ( ~ fulladder(X0)
      | logic_or(or1(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_or1) ).

fof(f45,axiom,
    ! [X0] :
      ( ~ fulladder(X0)
      | connection(outc(h1(X0)),in2(or1(X0))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch1_in2or1) ).

fof(f46,axiom,
    ! [X0] :
      ( ~ fulladder(X0)
      | connection(outc(h2(X0)),in1(or1(X0))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch2_in1or1) ).

fof(f47,axiom,
    ! [X0] :
      ( ~ fulladder(X0)
      | connection(in1(X0),in1(h2(X0))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in1_in1h2) ).

fof(f48,axiom,
    ! [X0] :
      ( ~ fulladder(X0)
      | connection(in2(X0),in1(h1(X0))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in2_in1h1) ).

fof(f51,axiom,
    ! [X0] :
      ( ~ fulladder(X0)
      | connection(outc(X0),out1(or1(X0))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outc_out1or1) ).

fof(f52,axiom,
    ! [X0] :
      ( ~ nbit_adder1(X0)
      | fulladder(f1(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_fulladder1) ).

fof(f54,axiom,
    ! [X0] :
      ( ~ nbit_adder1(X0)
      | connection(outc(X0),outc(f1(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcf1) ).

fof(f55,axiom,
    ! [X0] :
      ( ~ nbit_adder1(X0)
      | connection(ina1(X0),in1(f1(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_ina1_in1f1) ).

fof(f56,axiom,
    ! [X0] :
      ( ~ nbit_adder1(X0)
      | connection(inb1(X0),in2(f1(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_inb1_in2f1) ).

fof(f58,axiom,
    nbit_adder1(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_isa_1bit_adder) ).

fof(f59,axiom,
    zero(ina1(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ina1_0) ).

fof(f60,axiom,
    zero(inb1(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inb1_0) ).

fof(f63,axiom,
    one(outc(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).

fof(f64,negated_conjecture,
    ~ abnormal(or1(f1(a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1f1) ).

fof(f65,negated_conjecture,
    ~ abnormal(and2(h1(f1(a)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1f1) ).

fof(f66,negated_conjecture,
    ~ abnormal(and2(h2(f1(a)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h2f1) ).

fof(f68,plain,
    fulladder(f1(a)),
    inference(resolution,[],[f52,f58]) ).

fof(f69,plain,
    logic_or(or1(f1(a))),
    inference(resolution,[],[f68,f43]) ).

fof(f70,plain,
    halfadder(h2(f1(a))),
    inference(resolution,[],[f68,f42]) ).

fof(f71,plain,
    halfadder(h1(f1(a))),
    inference(resolution,[],[f68,f41]) ).

fof(f72,plain,
    ( or_ok(or1(f1(a)))
    | abnormal(or1(f1(a))) ),
    inference(resolution,[],[f21,f69]) ).

fof(f73,plain,
    or_ok(or1(f1(a))),
    inference(forward_subsumption_resolution,[],[f72,f64]) ).

fof(f77,plain,
    logic_and(and2(h2(f1(a)))),
    inference(resolution,[],[f70,f29]) ).

fof(f81,plain,
    ! [X0] :
      ( ~ connection(ina1(a),X0)
      | zero(X0) ),
    inference(resolution,[],[f1,f59]) ).

fof(f82,plain,
    ! [X0] :
      ( ~ connection(inb1(a),X0)
      | zero(X0) ),
    inference(resolution,[],[f1,f60]) ).

fof(f85,plain,
    logic_and(and2(h1(f1(a)))),
    inference(resolution,[],[f71,f29]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ connection(outc(a),X0)
      | one(X0) ),
    inference(resolution,[],[f2,f63]) ).

fof(f113,plain,
    ( and_ok(and2(h2(f1(a))))
    | abnormal(and2(h2(f1(a)))) ),
    inference(resolution,[],[f77,f13]) ).

fof(f114,plain,
    and_ok(and2(h2(f1(a)))),
    inference(forward_subsumption_resolution,[],[f113,f66]) ).

fof(f121,definition,
    ( spl0_6
  <=> zero(in1(and2(h2(f1(a))))) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f122,plain,
    ( zero(in1(and2(h2(f1(a)))))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f123,plain,
    ( ~ zero(in1(and2(h2(f1(a)))))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f121]) ).

fof(f131,plain,
    ( ~ one(out1(and2(h2(f1(a)))))
    | one(in1(and2(h2(f1(a))))) ),
    inference(resolution,[],[f10,f114]) ).

fof(f133,definition,
    ( spl0_8
  <=> one(in1(and2(h2(f1(a))))) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f135,plain,
    ( one(in1(and2(h2(f1(a)))))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f137,definition,
    ( spl0_9
  <=> one(out1(and2(h2(f1(a))))) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f139,plain,
    ( ~ one(out1(and2(h2(f1(a)))))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f140,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f131,f137,f133]) ).

fof(f144,definition,
    ( spl0_10
  <=> one(out1(or1(f1(a)))) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f145,plain,
    ( ~ one(out1(or1(f1(a))))
    | spl0_10 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f148,definition,
    ( spl0_11
  <=> one(in1(or1(f1(a)))) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f149,plain,
    ( one(in1(or1(f1(a))))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f150,plain,
    ( ~ one(in1(or1(f1(a))))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f154,definition,
    ( spl0_12
  <=> one(in2(or1(f1(a)))) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f155,plain,
    ( one(in2(or1(f1(a))))
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f156,plain,
    ( ~ one(in2(or1(f1(a))))
    | spl0_12 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f199,plain,
    ( and_ok(and2(h1(f1(a))))
    | abnormal(and2(h1(f1(a)))) ),
    inference(resolution,[],[f85,f13]) ).

fof(f200,plain,
    and_ok(and2(h1(f1(a)))),
    inference(forward_subsumption_resolution,[],[f199,f65]) ).

fof(f202,plain,
    ( ~ one(out1(and2(h1(f1(a)))))
    | one(in1(and2(h1(f1(a))))) ),
    inference(resolution,[],[f200,f10]) ).

fof(f210,definition,
    ( spl0_22
  <=> zero(in1(and2(h1(f1(a))))) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f211,plain,
    ( zero(in1(and2(h1(f1(a)))))
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f212,plain,
    ( ~ zero(in1(and2(h1(f1(a)))))
    | spl0_22 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f220,definition,
    ( spl0_24
  <=> one(in1(and2(h1(f1(a))))) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f222,plain,
    ( one(in1(and2(h1(f1(a)))))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f224,definition,
    ( spl0_25
  <=> one(out1(and2(h1(f1(a))))) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f226,plain,
    ( ~ one(out1(and2(h1(f1(a)))))
    | spl0_25 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f227,plain,
    ( spl0_24
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f202,f224,f220]) ).

fof(f237,plain,
    connection(in1(h2(f1(a))),in1(and2(h2(f1(a))))),
    inference(resolution,[],[f34,f70]) ).

fof(f238,plain,
    connection(in1(h1(f1(a))),in1(and2(h1(f1(a))))),
    inference(resolution,[],[f34,f71]) ).

fof(f287,plain,
    connection(outc(h2(f1(a))),out1(and2(h2(f1(a))))),
    inference(resolution,[],[f37,f70]) ).

fof(f288,plain,
    connection(outc(h1(f1(a))),out1(and2(h1(f1(a))))),
    inference(resolution,[],[f37,f71]) ).

fof(f289,plain,
    connection(in1(f1(a)),in1(h2(f1(a)))),
    inference(resolution,[],[f47,f68]) ).

fof(f291,plain,
    connection(in2(f1(a)),in1(h1(f1(a)))),
    inference(resolution,[],[f48,f68]) ).

fof(f297,plain,
    connection(outc(f1(a)),out1(or1(f1(a)))),
    inference(resolution,[],[f51,f68]) ).

fof(f302,plain,
    connection(outc(a),outc(f1(a))),
    inference(resolution,[],[f54,f58]) ).

fof(f303,plain,
    connection(ina1(a),in1(f1(a))),
    inference(resolution,[],[f55,f58]) ).

fof(f304,plain,
    connection(inb1(a),in2(f1(a))),
    inference(resolution,[],[f56,f58]) ).

fof(f313,plain,
    connection(outc(h1(f1(a))),in2(or1(f1(a)))),
    inference(resolution,[],[f45,f68]) ).

fof(f314,plain,
    connection(outc(h2(f1(a))),in1(or1(f1(a)))),
    inference(resolution,[],[f46,f68]) ).

fof(f343,plain,
    ( ~ one(out1(or1(f1(a))))
    | one(in1(or1(f1(a))))
    | one(in2(or1(f1(a)))) ),
    inference(resolution,[],[f17,f73]) ).

fof(f346,plain,
    ( ~ one(out1(or1(f1(a))))
    | one(in2(or1(f1(a))))
    | spl0_11 ),
    inference(forward_subsumption_resolution,[],[f343,f150]) ).

fof(f348,plain,
    ( ~ one(out1(or1(f1(a))))
    | spl0_11
    | spl0_12 ),
    inference(forward_subsumption_resolution,[],[f346,f156]) ).

fof(f350,plain,
    ( ~ spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f348,f154,f148,f144]) ).

fof(f354,plain,
    one(outc(f1(a))),
    inference(resolution,[],[f302,f87]) ).

fof(f356,plain,
    ! [X0] :
      ( ~ connection(outc(f1(a)),X0)
      | one(X0) ),
    inference(resolution,[],[f354,f2]) ).

fof(f358,plain,
    zero(in1(f1(a))),
    inference(resolution,[],[f303,f81]) ).

fof(f360,plain,
    ! [X0] :
      ( ~ connection(in1(f1(a)),X0)
      | zero(X0) ),
    inference(resolution,[],[f358,f1]) ).

fof(f361,plain,
    zero(in2(f1(a))),
    inference(resolution,[],[f304,f82]) ).

fof(f363,plain,
    ! [X0] :
      ( ~ connection(in2(f1(a)),X0)
      | zero(X0) ),
    inference(resolution,[],[f361,f1]) ).

fof(f372,plain,
    one(out1(or1(f1(a)))),
    inference(resolution,[],[f356,f297]) ).

fof(f373,plain,
    ( $false
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f372,f145]) ).

fof(f374,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f373]) ).

fof(f379,plain,
    ( ! [X0] :
        ( ~ connection(X0,in1(or1(f1(a))))
        | one(X0) )
    | ~ spl0_11 ),
    inference(resolution,[],[f149,f4]) ).

fof(f382,plain,
    zero(in1(h2(f1(a)))),
    inference(resolution,[],[f360,f289]) ).

fof(f385,plain,
    zero(in1(h1(f1(a)))),
    inference(resolution,[],[f363,f291]) ).

fof(f386,plain,
    ( one(outc(h2(f1(a))))
    | ~ spl0_11 ),
    inference(resolution,[],[f379,f314]) ).

fof(f389,plain,
    ( ! [X0] :
        ( ~ connection(outc(h2(f1(a))),X0)
        | one(X0) )
    | ~ spl0_11 ),
    inference(resolution,[],[f386,f2]) ).

fof(f394,plain,
    ! [X0] :
      ( ~ connection(in1(h2(f1(a))),X0)
      | zero(X0) ),
    inference(resolution,[],[f382,f1]) ).

fof(f396,plain,
    ! [X0] :
      ( ~ connection(in1(h1(f1(a))),X0)
      | zero(X0) ),
    inference(resolution,[],[f385,f1]) ).

fof(f404,plain,
    ( one(out1(and2(h2(f1(a)))))
    | ~ spl0_11 ),
    inference(resolution,[],[f287,f389]) ).

fof(f405,plain,
    ( $false
    | spl0_9
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f404,f139]) ).

fof(f406,plain,
    ( spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f405]) ).

fof(f409,plain,
    ( ! [X0] :
        ( ~ connection(X0,in2(or1(f1(a))))
        | one(X0) )
    | ~ spl0_12 ),
    inference(resolution,[],[f155,f4]) ).

fof(f415,plain,
    ( ~ zero(in1(and2(h2(f1(a)))))
    | ~ spl0_8 ),
    inference(resolution,[],[f135,f5]) ).

fof(f416,plain,
    ( one(outc(h1(f1(a))))
    | ~ spl0_12 ),
    inference(resolution,[],[f409,f313]) ).

fof(f418,plain,
    ( ! [X0] :
        ( ~ connection(outc(h1(f1(a))),X0)
        | one(X0) )
    | ~ spl0_12 ),
    inference(resolution,[],[f416,f2]) ).

fof(f421,plain,
    zero(in1(and2(h2(f1(a))))),
    inference(resolution,[],[f394,f237]) ).

fof(f422,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[],[f421,f123]) ).

fof(f423,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f422]) ).

fof(f426,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f415,f122]) ).

fof(f427,plain,
    ( ~ spl0_6
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f426]) ).

fof(f434,plain,
    ( one(out1(and2(h1(f1(a)))))
    | ~ spl0_12 ),
    inference(resolution,[],[f418,f288]) ).

fof(f436,plain,
    ( $false
    | ~ spl0_12
    | spl0_25 ),
    inference(forward_subsumption_resolution,[],[f434,f226]) ).

fof(f437,plain,
    ( ~ spl0_12
    | spl0_25 ),
    inference(avatar_contradiction_clause,[],[f436]) ).

fof(f440,plain,
    ( ~ zero(in1(and2(h1(f1(a)))))
    | ~ spl0_24 ),
    inference(resolution,[],[f222,f5]) ).

fof(f452,plain,
    zero(in1(and2(h1(f1(a))))),
    inference(resolution,[],[f396,f238]) ).

fof(f453,plain,
    ( $false
    | spl0_22 ),
    inference(forward_subsumption_resolution,[],[f452,f212]) ).

fof(f454,plain,
    spl0_22,
    inference(avatar_contradiction_clause,[],[f453]) ).

fof(f455,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f440,f211]) ).

fof(f456,plain,
    ( ~ spl0_22
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f455]) ).

cnf(s5,plain,
    ( spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f140]) ).

cnf(s14,plain,
    ( spl0_24
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f227]) ).

cnf(s31,plain,
    ( ~ spl0_10
    | spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f350]) ).

cnf(s32,plain,
    spl0_10,
    inference(sat_conversion,[],[f374]) ).

cnf(s33,plain,
    ( spl0_9
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f406]) ).

cnf(s36,plain,
    spl0_6,
    inference(sat_conversion,[],[f423]) ).

cnf(s38,plain,
    ( ~ spl0_6
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f427]) ).

cnf(s39,plain,
    ( ~ spl0_12
    | spl0_25 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s40,plain,
    spl0_22,
    inference(sat_conversion,[],[f454]) ).

cnf(s41,plain,
    ( ~ spl0_22
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s43,plain,
    ~ spl0_24,
    inference(rat,[],[s41,s40]) ).

cnf(s44,plain,
    ~ spl0_8,
    inference(rat,[],[s38,s36]) ).

cnf(s45,plain,
    ( spl0_11
    | spl0_12 ),
    inference(rat,[],[s31,s32]) ).

cnf(s47,plain,
    ~ spl0_25,
    inference(rat,[],[s14,s43]) ).

cnf(s48,plain,
    ~ spl0_12,
    inference(rat,[],[s39,s47]) ).

cnf(s49,plain,
    spl0_11,
    inference(rat,[],[s45,s48]) ).

cnf(s50,plain,
    spl0_9,
    inference(rat,[],[s33,s49]) ).

cnf(s53,plain,
    $false,
    inference(rat,[],[s5,s50,s44]) ).

fof(f459,plain,
    $false,
    inference(avatar_sat_refutation,[],[s53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV008-2.001 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n009.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 10:52:46 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43  Running first-order model finding
% 0.11/0.43  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.46  % (1860752)Will run a generic schedule for satisfiability detection.
% 0.17/0.46  % (1860765)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4059199991:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46  % (1860760)% WARNING: option uhcvi not known.
% 0.17/0.46  % (1860765) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1860752-1860765"...
% 0.17/0.46  % (1860765)...printing done.
% 0.17/0.46  % (1860765)Refutation found. Thanks to Tanya!
% 0.17/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46  % (1860765)------------------------------
% 0.17/0.46  % (1860765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46  % (1860765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46  % (1860765)CaDiCaL version: 2.1.3
% 0.17/0.46  % (1860765)Termination reason: Refutation
% 0.17/0.46  % (1860765)Time elapsed: 0.004 s
% 0.17/0.46  % (1860765)Peak memory usage: 12 MB
% 0.17/0.46  % (1860765)Instructions burned: 10 (million)
% 0.17/0.46  % (1860752)Success in time 0.021 s
% 0.17/0.46  % Vampire exiting
%------------------------------------------------------------------------------