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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV849-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 : Tue Sep 29 01:26:32 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.29s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   99 (  17 unt;   7 def)
%            Number of atoms       :  248 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  277 ( 128   ~; 142   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   8 prp; 0-4 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f533,negated_conjecture,
    hBOOL(hAPP(v_ba,v_s0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f534,negated_conjecture,
    c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f536,negated_conjecture,
    v_ba = v_b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f537,negated_conjecture,
    v_ca = v_c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f538,negated_conjecture,
    hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f539,negated_conjecture,
    ! [X0] :
      ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G))
      | c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f540,negated_conjecture,
    ( hBOOL(hAPP(v_b,v_s2))
    | ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f545,negated_conjecture,
    ! [X0] :
      ( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
      | hBOOL(hAPP(hAPP(v_P,X0),v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).

fof(f546,negated_conjecture,
    ! [X0] :
      ( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
      | ~ hBOOL(hAPP(v_b,v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).

fof(f547,negated_conjecture,
    ! [X0] :
      ( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
      | hBOOL(hAPP(hAPP(v_P,X0),v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_14) ).

fof(f548,negated_conjecture,
    ! [X0] :
      ( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
      | ~ hBOOL(hAPP(v_b,v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_15) ).

fof(f549,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
      | ~ c_Natural_Oevaln(v_c,X2,X3,X1)
      | ~ hBOOL(hAPP(v_b,X2))
      | hBOOL(hAPP(hAPP(v_P,X0),X1))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X3)),v_G)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_16) ).

fof(f550,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
      | ~ c_Natural_Oevaln(v_c,X2,X3,X1)
      | ~ hBOOL(hAPP(v_b,X2))
      | hBOOL(hAPP(hAPP(v_P,X0),X1))
      | ~ c_Hoare__Mirabelle_Otriple__valid(X3,v_n(X3),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_17) ).

fof(f582,plain,
    hBOOL(hAPP(v_b,v_s0)),
    inference(definition_unfolding,[],[f533,f536]) ).

fof(f583,plain,
    c_Natural_Oevaln(v_c,v_s0,v_na,v_s1),
    inference(definition_unfolding,[],[f534,f537]) ).

fof(f589,plain,
    ! [X0] :
      ( c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
      | hBOOL(hAPP(hAPP(v_P,X0),v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    inference(definition_unfolding,[],[f545,f536,f537]) ).

fof(f590,plain,
    ! [X0] :
      ( c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
      | ~ hBOOL(hAPP(v_b,v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    inference(definition_unfolding,[],[f546,f536,f537]) ).

fof(f591,plain,
    ! [X0] :
      ( c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
      | hBOOL(hAPP(hAPP(v_P,X0),v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(definition_unfolding,[],[f547,f536,f537]) ).

fof(f592,plain,
    ! [X0] :
      ( c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
      | ~ hBOOL(hAPP(v_b,v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(definition_unfolding,[],[f548,f536,f537]) ).

fof(f593,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(v_b,v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(trivial_inequality_removal,[],[f592]) ).

fof(f594,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(v_P,X0),v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    inference(trivial_inequality_removal,[],[f591]) ).

fof(f595,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(v_b,v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    inference(trivial_inequality_removal,[],[f590]) ).

fof(f596,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(v_P,X0),v_s2))
      | ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    inference(trivial_inequality_removal,[],[f589]) ).

fof(f600,definition,
    ( spl0_1
  <=> c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f601,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f602,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f604,definition,
    ( spl0_2
  <=> ! [X0] : ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f605,plain,
    ( ! [X0] : ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f607,definition,
    ( spl0_3
  <=> hBOOL(hAPP(v_b,v_s2)) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f608,plain,
    ( hBOOL(hAPP(v_b,v_s2))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f607]) ).

fof(f610,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f593,f607,f604,f600]) ).

fof(f640,definition,
    ( spl0_12
  <=> hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f642,plain,
    ( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
    | spl0_12 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f643,plain,
    ( ~ spl0_12
    | spl0_3 ),
    inference(avatar_split_clause,[],[f540,f607,f640]) ).

fof(f668,plain,
    ! [X0,X1] :
      ( ~ c_Natural_Oevaln(v_c,v_s0,X0,X1)
      | ~ hBOOL(hAPP(v_b,v_s0))
      | hBOOL(hAPP(hAPP(v_P,v_xb),X1))
      | ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
    inference(resolution,[],[f550,f538]) ).

fof(f669,plain,
    ! [X0,X1] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
      | hBOOL(hAPP(hAPP(v_P,v_xb),X1))
      | ~ c_Natural_Oevaln(v_c,v_s0,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f668,f582]) ).

fof(f733,plain,
    ( ! [X0] :
        ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
        | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) )
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f595,f608]) ).

fof(f735,definition,
    ( spl0_24
  <=> hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f736,plain,
    ( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
    | spl0_24 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f737,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f735]) ).

fof(f738,plain,
    ( spl0_24
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f733,f607,f604,f735]) ).

fof(f739,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
    | ~ spl0_24 ),
    inference(resolution,[],[f737,f539]) ).

fof(f740,plain,
    ( $false
    | spl0_1
    | ~ spl0_24 ),
    inference(forward_subsumption_resolution,[],[f739,f602]) ).

fof(f741,plain,
    ( spl0_1
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f740]) ).

fof(f744,plain,
    ( ! [X0] :
        ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
        | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) )
    | spl0_24 ),
    inference(forward_subsumption_resolution,[],[f596,f736]) ).

fof(f748,plain,
    ! [X0,X1] :
      ( ~ c_Natural_Oevaln(v_c,v_s0,X0,X1)
      | ~ hBOOL(hAPP(v_b,v_s0))
      | hBOOL(hAPP(hAPP(v_P,v_xb),X1))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_G)) ),
    inference(resolution,[],[f549,f538]) ).

fof(f749,plain,
    ! [X0,X1] :
      ( ~ c_Natural_Oevaln(v_c,v_s0,X0,X1)
      | hBOOL(hAPP(hAPP(v_P,v_xb),X1))
      | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_G)) ),
    inference(forward_subsumption_resolution,[],[f748,f582]) ).

fof(f753,plain,
    ( hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
    | hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G)) ),
    inference(resolution,[],[f749,f583]) ).

fof(f754,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f753,f605]) ).

fof(f755,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
    | ~ spl0_2 ),
    inference(resolution,[],[f754,f539]) ).

fof(f759,plain,
    ( ! [X0] :
        ( hBOOL(hAPP(hAPP(v_P,v_xb),X0))
        | ~ c_Natural_Oevaln(v_c,v_s0,v_na,X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f669,f755]) ).

fof(f779,plain,
    ( ~ c_Natural_Oevaln(v_c,v_s0,v_na,v_s1)
    | ~ spl0_2 ),
    inference(resolution,[],[f759,f605]) ).

fof(f782,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f779,f583]) ).

fof(f783,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f782]) ).

fof(f787,definition,
    ( spl0_27
  <=> hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G)) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f789,plain,
    ( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G))
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f791,definition,
    ( spl0_28
  <=> hBOOL(hAPP(hAPP(v_P,v_xb),v_s1)) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f793,plain,
    ( hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f794,plain,
    ( spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f753,f791,f787]) ).

fof(f795,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
    | ~ spl0_27 ),
    inference(resolution,[],[f789,f539]) ).

fof(f796,plain,
    ( ! [X0] :
        ( hBOOL(hAPP(hAPP(v_P,v_xb),X0))
        | ~ c_Natural_Oevaln(v_c,v_s0,v_na,X0) )
    | ~ spl0_27 ),
    inference(resolution,[],[f795,f669]) ).

fof(f800,plain,
    ( ~ c_Natural_Oevaln(v_c,v_s0,v_na,v_s1)
    | hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
    | spl0_24
    | ~ spl0_27 ),
    inference(resolution,[],[f796,f744]) ).

fof(f801,plain,
    ( hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
    | spl0_24
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f800,f583]) ).

fof(f802,plain,
    ( $false
    | spl0_12
    | spl0_24
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f801,f642]) ).

fof(f803,plain,
    ( spl0_12
    | spl0_24
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f802]) ).

fof(f804,plain,
    ( hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
    | spl0_24
    | ~ spl0_28 ),
    inference(resolution,[],[f793,f744]) ).

fof(f807,plain,
    ( $false
    | spl0_12
    | spl0_24
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f804,f642]) ).

fof(f808,plain,
    ( spl0_12
    | spl0_24
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f807]) ).

fof(f810,plain,
    ( ! [X0] :
        ( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
        | hBOOL(hAPP(hAPP(v_P,X0),v_s2)) )
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f594,f601]) ).

fof(f811,plain,
    ( hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(resolution,[],[f810,f793]) ).

fof(f812,plain,
    ( $false
    | ~ spl0_1
    | spl0_12
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f811,f642]) ).

fof(f813,plain,
    ( ~ spl0_1
    | spl0_12
    | ~ spl0_28 ),
    inference(avatar_contradiction_clause,[],[f812]) ).

fof(f814,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
    | ~ spl0_27 ),
    inference(resolution,[],[f789,f539]) ).

fof(f815,plain,
    ( ! [X0] :
        ( hBOOL(hAPP(hAPP(v_P,v_xb),X0))
        | ~ c_Natural_Oevaln(v_c,v_s0,v_na,X0) )
    | ~ spl0_27 ),
    inference(resolution,[],[f814,f669]) ).

fof(f820,plain,
    ( ~ c_Natural_Oevaln(v_c,v_s0,v_na,v_s1)
    | hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(resolution,[],[f815,f810]) ).

fof(f821,plain,
    ( hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
    | ~ spl0_1
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f820,f583]) ).

fof(f824,plain,
    ( $false
    | ~ spl0_1
    | spl0_12
    | ~ spl0_27 ),
    inference(forward_subsumption_resolution,[],[f821,f642]) ).

fof(f825,plain,
    ( ~ spl0_1
    | spl0_12
    | ~ spl0_27 ),
    inference(avatar_contradiction_clause,[],[f824]) ).

cnf(s505,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f610]) ).

cnf(s558,plain,
    ( spl0_3
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s656,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_24 ),
    inference(sat_conversion,[],[f738]) ).

cnf(s659,plain,
    ( spl0_1
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f741]) ).

cnf(s704,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f783]) ).

cnf(s711,plain,
    ( spl0_27
    | spl0_28 ),
    inference(sat_conversion,[],[f794]) ).

cnf(s721,plain,
    ( spl0_12
    | spl0_24
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s726,plain,
    ( spl0_12
    | spl0_24
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f808]) ).

cnf(s735,plain,
    ( ~ spl0_1
    | spl0_12
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s748,plain,
    ( ~ spl0_1
    | spl0_12
    | ~ spl0_27 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s749,plain,
    ( ~ spl0_3
    | spl0_24 ),
    inference(rat,[],[s656,s704]) ).

cnf(s754,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(rat,[],[s505,s704]) ).

cnf(s755,plain,
    ( spl0_12
    | spl0_24 ),
    inference(rat,[],[s711,s721,s726]) ).

cnf(s756,plain,
    spl0_24,
    inference(rat,[],[s755,s558,s749]) ).

cnf(s757,plain,
    spl0_1,
    inference(rat,[],[s659,s756]) ).

cnf(s758,plain,
    ~ spl0_3,
    inference(rat,[],[s754,s757]) ).

cnf(s759,plain,
    ~ spl0_12,
    inference(rat,[],[s558,s758]) ).

cnf(s760,plain,
    ~ spl0_27,
    inference(rat,[],[s748,s757,s759]) ).

cnf(s761,plain,
    ~ spl0_28,
    inference(rat,[],[s735,s757,s759]) ).

cnf(s766,plain,
    $false,
    inference(rat,[],[s711,s761,s760]) ).

fof(f826,plain,
    $false,
    inference(avatar_sat_refutation,[],[s766]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV849-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n007.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 12:40:56 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.29  % (2365823)Will run a generic schedule for satisfiability detection.
% 0.17/0.29  % (2365830)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2757086290:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.29  % (2365829)% WARNING: option uhcvi not known.
% 0.17/0.29  % (2365828)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2865618672_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.29  % (2365829)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1108584811:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.29  % (2365831)dis+10_1_sil=32000:sp=arity:random_seed=1652081932:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.29  % (2365832)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=395472425:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.29  % (2365833)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3320013154:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.29  % (2365834)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=280065275:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.29  % (2365830) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2365823-2365830"...
% 0.17/0.29  % (2365830)...printing done.
% 0.17/0.29  % (2365830)Refutation found. Thanks to Tanya!
% 0.17/0.29  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.29  % (2365830)------------------------------
% 0.17/0.29  % (2365830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.29  % (2365830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.29  % (2365830)CaDiCaL version: 2.1.3
% 0.17/0.29  % (2365830)Termination reason: Refutation
% 0.17/0.29  % (2365830)Time elapsed: 0.011 s
% 0.17/0.29  % (2365830)Peak memory usage: 13 MB
% 0.17/0.29  % (2365830)Instructions burned: 33 (million)
% 0.17/0.29  % (2365823)Success in time 0.052 s
% 0.17/0.29  % Vampire exiting
%------------------------------------------------------------------------------