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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV926-1 : 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 : n010.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 01:26:40 PM UTC 2026

% Result   : Unsatisfiable 1.19s 0.49s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   56 (  21 unt;   3 def)
%            Number of atoms       :   95 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   75 (  36   ~;  36   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-3 aty)
%            Number of variables   :   35 (   0 sgn  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f446,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X0,X3,tc_fun(X2,tc_bool))
      | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
      | c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).

fof(f455,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X3,X0,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool))
      | c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).

fof(f456,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X0,X3,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool))
      | c_lessequals(X0,X1,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).

fof(f466,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,X1,tc_fun(X2,tc_bool))
      | c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).

fof(f468,axiom,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool))
      | c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).

fof(f489,axiom,
    ! [X2,X3,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X0,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).

fof(f496,axiom,
    ! [X2,X0,X1] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).

fof(f497,axiom,
    ! [X2,X0,X1] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).

fof(f506,axiom,
    ! [X2,X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).

fof(f516,negated_conjecture,
    c_lessequals(v_ad,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f519,negated_conjecture,
    c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ab,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f520,plain,
    v_ab = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ac,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(reorient_equations,[],[f519]) ).

fof(f522,negated_conjecture,
    c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) = v_ad,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f523,plain,
    v_ad = c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_ae,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(reorient_equations,[],[f522]) ).

fof(f525,negated_conjecture,
    ( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f712,definition,
    ( spl0_1
  <=> c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f714,plain,
    ( ~ c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f712]) ).

fof(f716,definition,
    ( spl0_2
  <=> c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f718,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f720,definition,
    ( spl0_3
  <=> c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f722,plain,
    ( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f723,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f525,f720,f716,f712]) ).

fof(f941,plain,
    v_ab = c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(superposition,[],[f506,f520]) ).

fof(f1657,plain,
    ! [X0] :
      ( ~ c_lessequals(v_ad,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | c_lessequals(v_ae,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(superposition,[],[f455,f523]) ).

fof(f1688,plain,
    ! [X0] :
      ( c_lessequals(c_Map_Odom(v_b,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | ~ c_lessequals(v_ad,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(superposition,[],[f456,f523]) ).

fof(f1774,plain,
    ! [X0] :
      ( ~ c_lessequals(v_ab,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
      | c_lessequals(v_ad,X0,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) ),
    inference(resolution,[],[f446,f516]) ).

fof(f2766,plain,
    c_lessequals(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(resolution,[],[f1657,f516]) ).

fof(f2784,plain,
    v_ab = c_Lattices_Oupper__semilattice__class_Osup(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(resolution,[],[f2766,f468]) ).

fof(f2997,plain,
    ! [X0] : c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(X0,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),
    inference(resolution,[],[f1774,f496]) ).

fof(f3193,plain,
    ( ~ c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),c_Lattices_Oupper__semilattice__class_Osup(v_ac,v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_1 ),
    inference(resolution,[],[f1688,f714]) ).

fof(f3212,plain,
    ( ~ c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_1 ),
    inference(forward_demodulation,[],[f3193,f489]) ).

fof(f3213,plain,
    ( ~ c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_1 ),
    inference(forward_demodulation,[],[f3212,f506]) ).

fof(f3214,plain,
    ( ~ c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_1 ),
    inference(forward_demodulation,[],[f3213,f489]) ).

fof(f3215,plain,
    ( ~ c_lessequals(v_ad,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_1 ),
    inference(forward_demodulation,[],[f3214,f941]) ).

fof(f3216,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f3215,f2997]) ).

fof(f3217,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f3216]) ).

fof(f3219,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(forward_demodulation,[],[f718,f489]) ).

fof(f3221,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(forward_demodulation,[],[f3219,f506]) ).

fof(f3223,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(forward_demodulation,[],[f3221,f489]) ).

fof(f3225,plain,
    ( ~ c_lessequals(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(forward_demodulation,[],[f3223,f941]) ).

fof(f3248,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(v_ae,c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(resolution,[],[f3225,f466]) ).

fof(f3367,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ae,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(superposition,[],[f3248,f489]) ).

fof(f3372,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)) != c_Lattices_Oupper__semilattice__class_Osup(v_x,v_ab,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_2 ),
    inference(forward_demodulation,[],[f3367,f2784]) ).

fof(f3373,plain,
    ( $false
    | spl0_2 ),
    inference(trivial_inequality_removal,[],[f3372]) ).

fof(f3374,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f3373]) ).

fof(f3376,plain,
    ( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),v_x,tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_3 ),
    inference(forward_demodulation,[],[f722,f489]) ).

fof(f3378,plain,
    ( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_3 ),
    inference(forward_demodulation,[],[f3376,f506]) ).

fof(f3380,plain,
    ( ~ c_lessequals(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_x,c_Lattices_Oupper__semilattice__class_Osup(v_ac,c_Map_Odom(v_ba,tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool))
    | spl0_3 ),
    inference(forward_demodulation,[],[f3378,f489]) ).

fof(f3382,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f3380,f497]) ).

fof(f3383,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f3382]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s60,plain,
    spl0_1,
    inference(sat_conversion,[],[f3217]) ).

cnf(s70,plain,
    spl0_2,
    inference(sat_conversion,[],[f3374]) ).

cnf(s71,plain,
    spl0_3,
    inference(sat_conversion,[],[f3383]) ).

cnf(s77,plain,
    $false,
    inference(rat,[],[s1,s71,s70,s60]) ).

fof(f3384,plain,
    $false,
    inference(avatar_sat_refutation,[],[s77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV926-1 : 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 : n010.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 12:55:47 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24  Running first-order model finding
% 0.09/0.24  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
% 1.19/0.49  % (1903721)Will run a generic schedule for satisfiability detection.
% 1.19/0.49  % (1903731)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1487256433:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.19/0.49  % (1903727)% WARNING: option uhcvi not known.
% 1.19/0.49  % (1903726)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3504135458_2999 on theBenchmark for (2999ds/0Mi)
% 1.19/0.49  % (1903727)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2677446156:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.19/0.49  % (1903729)dis+10_1_sil=32000:sp=arity:random_seed=2753169608:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.19/0.49  % (1903730)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1301235269:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.19/0.49  % (1903732)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=93469792:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.19/0.49  % (1903728)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=988716675:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.19/0.49  % (1903731)Instruction limit reached! 
% 1.19/0.49  % (1903731)------------------------------
% 1.19/0.49  % (1903731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.49  % (1903731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.49  % (1903731)CaDiCaL version: 2.1.3
% 1.19/0.49  % (1903731)Termination reason: Instruction limit
% 1.19/0.49  % (1903731)Termination phase: Saturation
% 1.19/0.49  % (1903731)Time elapsed: 0.044 s
% 1.19/0.49  % (1903731)Peak memory usage: 13 MB
% 1.19/0.49  % (1903731)Instructions burned: 132 (million)
% 1.19/0.49  % (1903740)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2656800459:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.19/0.49  % (1903729)Instruction limit reached! 
% 1.19/0.49  % (1903729)------------------------------
% 1.19/0.49  % (1903729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.49  % (1903729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.49  % (1903729)CaDiCaL version: 2.1.3
% 1.19/0.49  % (1903729)Termination reason: Instruction limit
% 1.19/0.49  % (1903729)Termination phase: Saturation
% 1.19/0.49  % (1903729)Time elapsed: 0.065 s
% 1.19/0.49  % (1903729)Peak memory usage: 12 MB
% 1.19/0.49  % (1903729)Instructions burned: 103 (million)
% 1.19/0.49  % (1903730)Instruction limit reached! 
% 1.19/0.49  % (1903730)------------------------------
% 1.19/0.49  % (1903730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.49  % (1903730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.49  % (1903730)CaDiCaL version: 2.1.3
% 1.19/0.49  % (1903730)Termination reason: Instruction limit
% 1.19/0.49  % (1903730)Termination phase: Saturation
% 1.19/0.49  % (1903730)Time elapsed: 0.066 s
% 1.19/0.49  % (1903730)Peak memory usage: 13 MB
% 1.19/0.49  % (1903730)Instructions burned: 116 (million)
% 1.19/0.49  % (1903742)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1077478146:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.19/0.49  % (1903743)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1002011616:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.19/0.49  % (1903732)Instruction limit reached! 
% 1.19/0.49  % (1903732)------------------------------
% 1.19/0.49  % (1903732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.49  % (1903732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.49  % (1903732)CaDiCaL version: 2.1.3
% 1.19/0.49  % (1903732)Termination reason: Instruction limit
% 1.19/0.49  % (1903732)Termination phase: Saturation
% 1.19/0.49  % (1903732)Time elapsed: 0.088 s
% 1.19/0.49  % (1903732)Peak memory usage: 13 MB
% 1.19/0.49  % (1903732)Instructions burned: 161 (million)
% 1.19/0.49  % (1903746)ott-21_1_sil=16000:fs=off:random_seed=810592992:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.19/0.49  % (1903742)Instruction limit reached! 
% 1.19/0.49  % (1903742)------------------------------
% 1.19/0.49  % (1903742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.49  % (1903742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.49  % (1903742)CaDiCaL version: 2.1.3
% 1.19/0.49  % (1903742)Termination reason: Instruction limit
% 1.19/0.49  % (1903742)Termination phase: Saturation
% 1.19/0.49  % (1903742)Time elapsed: 0.039 s
% 1.19/0.49  % (1903742)Peak memory usage: 13 MB
% 1.19/0.49  % (1903742)Instructions burned: 133 (million)
% 1.19/0.49  % (1903748)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2096379675:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.19/0.49  % (1903727) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1903721-1903727"...
% 1.19/0.49  % (1903727)...printing done.
% 1.19/0.49  % (1903727)Refutation found. Thanks to Tanya!
% 1.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 1.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.49  % (1903727)------------------------------
% 1.19/0.49  % (1903727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.49  % (1903727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.49  % (1903727)CaDiCaL version: 2.1.3
% 1.19/0.49  % (1903727)Termination reason: Refutation
% 1.19/0.49  % (1903727)Time elapsed: 0.138 s
% 1.19/0.49  % (1903727)Peak memory usage: 15 MB
% 1.19/0.49  % (1903727)Instructions burned: 221 (million)
% 1.19/0.49  % (1903721)Success in time 0.243 s
% 1.19/0.49  % Vampire exiting
%------------------------------------------------------------------------------