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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN014-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 02:06:26 PM UTC 2026

% Result   : Unsatisfiable 0.25s 0.37s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  125 (   7 unt;  10 def)
%            Number of atoms       :  372 ( 128 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  413 ( 166   ~; 237   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;  11 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   44 (   0 sgn  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    m != n,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_1) ).

fof(f2,negated_conjecture,
    ( n = k
    | m = k ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_2) ).

fof(f3,negated_conjecture,
    ! [X0] :
      ( X0 = j
      | X0 != k
      | element(X0,j) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_3) ).

fof(f4,plain,
    ! [X0] :
      ( j = X0
      | k != X0
      | element(X0,j) ),
    inference(reorient_equations,[],[f3]) ).

fof(f5,negated_conjecture,
    ! [X0] :
      ( X0 = j
      | X0 = k
      | ~ element(X0,j) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_4) ).

fof(f6,plain,
    ! [X0] :
      ( j = X0
      | k = X0
      | ~ element(X0,j) ),
    inference(reorient_equations,[],[f5]) ).

fof(f7,negated_conjecture,
    ! [X0] :
      ( X0 = m
      | ~ element(X0,m)
      | f(X0) != m ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_5) ).

fof(f8,plain,
    ! [X0] :
      ( m != f(X0)
      | ~ element(X0,m)
      | m = X0 ),
    inference(reorient_equations,[],[f7]) ).

fof(f9,negated_conjecture,
    ! [X0] :
      ( X0 = m
      | ~ element(X0,m)
      | f(X0) != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_6) ).

fof(f10,plain,
    ! [X0] :
      ( f(X0) != X0
      | ~ element(X0,m)
      | m = X0 ),
    inference(reorient_equations,[],[f9]) ).

fof(f11,negated_conjecture,
    ! [X0] :
      ( X0 = m
      | ~ element(X0,m)
      | element(X0,f(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_7) ).

fof(f12,plain,
    ! [X0] :
      ( element(X0,f(X0))
      | ~ element(X0,m)
      | m = X0 ),
    inference(reorient_equations,[],[f11]) ).

fof(f13,negated_conjecture,
    ! [X0] :
      ( X0 = m
      | ~ element(X0,m)
      | element(f(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_8) ).

fof(f14,plain,
    ! [X0] :
      ( element(f(X0),X0)
      | ~ element(X0,m)
      | m = X0 ),
    inference(reorient_equations,[],[f13]) ).

fof(f15,negated_conjecture,
    ! [X0,X1] :
      ( X0 = m
      | element(X0,m)
      | X1 = m
      | X1 = X0
      | ~ element(X0,X1)
      | ~ element(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_9) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ element(X1,X0)
      | element(X0,m)
      | m = X1
      | X0 = X1
      | ~ element(X0,X1)
      | m = X0 ),
    inference(reorient_equations,[],[f15]) ).

fof(f17,negated_conjecture,
    ! [X0] :
      ( X0 = n
      | element(X0,n)
      | g(X0) != n ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_10) ).

fof(f18,plain,
    ! [X0] :
      ( n != g(X0)
      | element(X0,n)
      | n = X0 ),
    inference(reorient_equations,[],[f17]) ).

fof(f19,negated_conjecture,
    ! [X0] :
      ( X0 = n
      | element(X0,n)
      | g(X0) != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_11) ).

fof(f20,plain,
    ! [X0] :
      ( g(X0) != X0
      | element(X0,n)
      | n = X0 ),
    inference(reorient_equations,[],[f19]) ).

fof(f23,negated_conjecture,
    ! [X0] :
      ( X0 = n
      | element(X0,n)
      | element(g(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_13) ).

fof(f24,plain,
    ! [X0] :
      ( element(g(X0),X0)
      | element(X0,n)
      | n = X0 ),
    inference(reorient_equations,[],[f23]) ).

fof(f27,negated_conjecture,
    ! [X0] :
      ( X0 = k
      | X0 != m
      | element(X0,k) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_15) ).

fof(f28,plain,
    ! [X0] :
      ( k = X0
      | m != X0
      | element(X0,k) ),
    inference(reorient_equations,[],[f27]) ).

fof(f29,negated_conjecture,
    ! [X0] :
      ( X0 = k
      | X0 != n
      | element(X0,k) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_16) ).

fof(f30,plain,
    ! [X0] :
      ( k = X0
      | n != X0
      | element(X0,k) ),
    inference(reorient_equations,[],[f29]) ).

fof(f31,negated_conjecture,
    ! [X0] :
      ( X0 = k
      | X0 = m
      | X0 = n
      | ~ element(X0,k) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_17) ).

fof(f32,plain,
    ! [X0] :
      ( k = X0
      | m = X0
      | n = X0
      | ~ element(X0,k) ),
    inference(reorient_equations,[],[f31]) ).

fof(f33,plain,
    ( k = j
    | element(k,j) ),
    inference(equality_resolution,[],[f4]) ).

fof(f34,plain,
    ( m = k
    | element(m,k) ),
    inference(equality_resolution,[],[f28]) ).

fof(f35,plain,
    ( n = k
    | element(n,k) ),
    inference(equality_resolution,[],[f30]) ).

fof(f37,definition,
    ( spl0_1
  <=> element(n,k) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f39,plain,
    ( element(n,k)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f41,definition,
    ( spl0_2
  <=> n = k ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f43,plain,
    ( n = k
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f35,f41,f37]) ).

fof(f46,definition,
    ( spl0_3
  <=> element(m,k) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f48,plain,
    ( element(m,k)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f50,definition,
    ( spl0_4
  <=> m = k ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f52,plain,
    ( m = k
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f53,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f34,f50,f46]) ).

fof(f55,definition,
    ( spl0_5
  <=> element(k,j) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f57,plain,
    ( element(k,j)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f59,definition,
    ( spl0_6
  <=> k = j ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f61,plain,
    ( k = j
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f62,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f59,f55]) ).

fof(f63,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f2,f41,f50]) ).

fof(f64,plain,
    ( element(m,n)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f48,f43]) ).

fof(f65,plain,
    ( element(n,j)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f57,f43]) ).

fof(f66,plain,
    ( ! [X0] :
        ( ~ element(X0,j)
        | j = X0
        | n = X0 )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f6,f43]) ).

fof(f75,definition,
    ( spl0_8
  <=> m = j ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f77,plain,
    ( m = j
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f83,plain,
    ( element(j,n)
    | n = j
    | j = g(j)
    | n = g(j)
    | ~ spl0_2 ),
    inference(resolution,[],[f24,f66]) ).

fof(f84,plain,
    ( element(j,n)
    | n = j
    | n = g(j)
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f83,f20]) ).

fof(f85,plain,
    ( element(j,n)
    | n = j
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f84,f18]) ).

fof(f87,definition,
    ( spl0_10
  <=> n = j ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f88,plain,
    ( n != j
    | spl0_10 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f89,plain,
    ( n = j
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f87]) ).

fof(f91,definition,
    ( spl0_11
  <=> element(j,n) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f93,plain,
    ( element(j,n)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f94,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f85,f41,f91,f87]) ).

fof(f95,plain,
    ( ! [X0] :
        ( n = X0
        | m = X0
        | n = X0
        | ~ element(X0,k) )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f32,f43]) ).

fof(f96,plain,
    ( ! [X0] :
        ( n = X0
        | m = X0
        | ~ element(X0,k) )
    | ~ spl0_2 ),
    inference(duplicate_literal_removal,[],[f95]) ).

fof(f97,plain,
    ( ! [X0] :
        ( ~ element(X0,n)
        | n = X0
        | m = X0 )
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f96,f43]) ).

fof(f99,plain,
    ( ! [X0] :
        ( ~ element(X0,n)
        | n = X0
        | n = X0 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f66,f89]) ).

fof(f101,plain,
    ( ! [X0] :
        ( ~ element(X0,n)
        | n = X0 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f99]) ).

fof(f103,plain,
    ( n = f(n)
    | m = f(n)
    | ~ element(n,m)
    | m = n
    | ~ spl0_2 ),
    inference(resolution,[],[f97,f14]) ).

fof(f105,plain,
    ( m = f(n)
    | ~ element(n,m)
    | m = n
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f103,f10]) ).

fof(f106,plain,
    ( ~ element(n,m)
    | m = n
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f105,f8]) ).

fof(f107,plain,
    ( ~ element(n,m)
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f106,f1]) ).

fof(f108,plain,
    ! [X0] :
      ( element(f(X0),m)
      | m = X0
      | f(X0) = X0
      | ~ element(f(X0),X0)
      | m = f(X0)
      | ~ element(X0,m)
      | m = X0 ),
    inference(resolution,[],[f16,f12]) ).

fof(f116,plain,
    ! [X0] :
      ( element(f(X0),m)
      | m = X0
      | f(X0) = X0
      | ~ element(f(X0),X0)
      | m = f(X0)
      | ~ element(X0,m) ),
    inference(duplicate_literal_removal,[],[f108]) ).

fof(f119,plain,
    ! [X0] :
      ( element(f(X0),m)
      | m = X0
      | f(X0) = X0
      | m = f(X0)
      | ~ element(X0,m) ),
    inference(forward_subsumption_resolution,[],[f116,f14]) ).

fof(f120,plain,
    ! [X0] :
      ( element(f(X0),m)
      | m = X0
      | m = f(X0)
      | ~ element(X0,m) ),
    inference(forward_subsumption_resolution,[],[f119,f10]) ).

fof(f121,plain,
    ! [X0] :
      ( element(f(X0),m)
      | m = X0
      | ~ element(X0,m) ),
    inference(forward_subsumption_resolution,[],[f120,f8]) ).

fof(f148,plain,
    ( m = n
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(resolution,[],[f101,f64]) ).

fof(f152,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f148,f1]) ).

fof(f153,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f152]) ).

fof(f154,plain,
    ( n = j
    | m = j
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(resolution,[],[f93,f97]) ).

fof(f169,plain,
    ( element(n,m)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f65,f77]) ).

fof(f170,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f169,f107]) ).

fof(f171,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f170]) ).

fof(f173,plain,
    ( spl0_8
    | spl0_10
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f154,f91,f41,f87,f75]) ).

fof(f187,plain,
    ( m = n
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f52,f43]) ).

fof(f191,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f187,f1]) ).

fof(f192,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f191]) ).

fof(f193,plain,
    ( element(n,m)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f39,f52]) ).

fof(f197,plain,
    ( ! [X0] :
        ( m = X0
        | m = X0
        | n = X0
        | ~ element(X0,k) )
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f32,f52]) ).

fof(f198,plain,
    ( ! [X0] :
        ( m = X0
        | n = X0
        | ~ element(X0,k) )
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f204,plain,
    ( ! [X0] :
        ( ~ element(X0,m)
        | m = X0
        | n = X0 )
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f198,f52]) ).

fof(f213,definition,
    ( spl0_15
  <=> element(n,m) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f215,plain,
    ( element(n,m)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f217,plain,
    ( spl0_15
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f193,f50,f37,f213]) ).

fof(f268,plain,
    ( ! [X0] :
        ( m = f(X0)
        | n = f(X0)
        | m = X0
        | ~ element(X0,m) )
    | ~ spl0_4 ),
    inference(resolution,[],[f204,f121]) ).

fof(f272,plain,
    ( ! [X0] :
        ( ~ element(X0,m)
        | m = X0
        | n = f(X0) )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f268,f8]) ).

fof(f320,plain,
    ( m = n
    | n = f(n)
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(resolution,[],[f272,f215]) ).

fof(f326,plain,
    ( n = f(n)
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f320,f1]) ).

fof(f330,plain,
    ( n != n
    | ~ element(n,m)
    | m = n
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(superposition,[],[f10,f326]) ).

fof(f332,plain,
    ( ~ element(n,m)
    | m = n
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f330]) ).

fof(f333,plain,
    ( m = n
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f332,f215]) ).

fof(f336,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f333,f1]) ).

fof(f337,plain,
    ( ~ spl0_4
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f361,plain,
    ( n = j
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f61,f43]) ).

fof(f362,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f361,f88]) ).

fof(f363,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f362]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f44]) ).

cnf(s2,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f53]) ).

cnf(s3,plain,
    ( spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f62]) ).

cnf(s4,plain,
    ( spl0_2
    | spl0_4 ),
    inference(sat_conversion,[],[f63]) ).

cnf(s6,plain,
    ( ~ spl0_2
    | spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f94]) ).

cnf(s7,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f153]) ).

cnf(s10,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f171]) ).

cnf(s11,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f173]) ).

cnf(s15,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f192]) ).

cnf(s17,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_15 ),
    inference(sat_conversion,[],[f217]) ).

cnf(s41,plain,
    ( ~ spl0_4
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f337]) ).

cnf(s47,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s48,plain,
    ( spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s10,s3,s11,s47,s6]) ).

cnf(s49,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s48,s7]) ).

cnf(s50,plain,
    ~ spl0_2,
    inference(rat,[],[s49,s2,s15]) ).

cnf(s51,plain,
    spl0_4,
    inference(rat,[],[s4,s50]) ).

cnf(s52,plain,
    spl0_1,
    inference(rat,[],[s1,s50]) ).

cnf(s53,plain,
    ~ spl0_15,
    inference(rat,[],[s41,s51]) ).

cnf(s55,plain,
    $false,
    inference(rat,[],[s17,s53,s52,s51]) ).

fof(f364,plain,
    $false,
    inference(avatar_sat_refutation,[],[s55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25  % Computer : n013.cluster.edu
% 0.11/0.25  % Model    : x86_64 x86_64
% 0.11/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25  % Memory   : 8046.5625MB
% 0.11/0.25  % OS       : Linux 6.8.0-71-generic
% 0.11/0.25  % CPULimit : 300
% 0.11/0.25  % WCLimit  : 300
% 0.11/0.25  % DateTime : Mon Sep 28 15:19:36 UTC 2026
% 0.11/0.26  % CPUTime  : 
% 0.11/0.26  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.31  Running first-order model finding
% 0.25/0.31  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
% 0.25/0.37  % (1265612)Will run a generic schedule for satisfiability detection.
% 0.25/0.37  % (1265617)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3089594152_3000 on theBenchmark for (3000ds/0Mi)
% 0.25/0.37  % TRYING [1]
% 0.25/0.37  % TRYING [2]
% 0.25/0.37  % TRYING [3]
% 0.25/0.37  % TRYING [4]
% 0.25/0.37  % TRYING [5]
% 0.25/0.37  % (1265622)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3840892313:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.25/0.37  % TRYING [6]
% 0.25/0.37  % TRYING [7]
% 0.25/0.37  % TRYING [8]
% 0.25/0.37  % (1265618)% WARNING: option uhcvi not known.
% 0.25/0.37  % TRYING [9]
% 0.25/0.37  % TRYING [10]
% 0.25/0.37  % (1265618)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=602492384:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.25/0.37  % (1265620)dis+10_1_sil=32000:sp=arity:random_seed=2273196381:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.25/0.37  % (1265619)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3663825819:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.25/0.37  % (1265621)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=904676343:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.25/0.37  % (1265623)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3727497145:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.25/0.37  % TRYING [11]
% 0.25/0.37  % TRYING [12]
% 0.25/0.37  % (1265620) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1265612-1265620"...
% 0.25/0.37  % TRYING [13]
% 0.25/0.37  % (1265622) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1265612-1265622"...
% 0.25/0.37  % (1265620)...printing done.
% 0.25/0.37  % (1265618) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1265612-1265618"...
% 0.25/0.37  % (1265621) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1265612-1265621"...
% 0.25/0.37  % TRYING [14]
% 0.25/0.37  % (1265620)Refutation found. Thanks to Tanya!
% 0.25/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.25/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.38  % (1265620)------------------------------
% 0.25/0.38  % (1265620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.38  % (1265620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.38  % (1265620)CaDiCaL version: 2.1.3
% 0.25/0.38  % (1265620)Termination reason: Refutation
% 0.25/0.38  % (1265620)Time elapsed: 0.013 s
% 0.25/0.38  % (1265620)Peak memory usage: 12 MB
% 0.25/0.38  % (1265620)Instructions burned: 11 (million)
% 0.25/0.38  % (1265612)Success in time 0.052 s
% 0.25/0.38  % Vampire exiting
%------------------------------------------------------------------------------