↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---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 THM

% Computer : n008.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 01:49:00 PM UTC 2026

% Result   : Unsatisfiable 3.03s 1.10s
% Output   : Refutation 3.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  125 (   6 unt;   9 def)
%            Number of atoms       :  388 ( 139 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  434 ( 171   ~; 254   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;  10 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   40 (   0 sgn  40   !;   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] :
      ( ~ element(X0,j)
      | k = X0
      | j = X0 ),
    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] :
      ( ~ element(X0,k)
      | m = X0
      | n = X0
      | k = X0 ),
    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(f71,definition,
    ( spl0_7
  <=> m = j ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f73,plain,
    ( m = j
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f83,plain,
    ( element(j,n)
    | n = j
    | k = g(j)
    | j = g(j) ),
    inference(resolution,[],[f24,f6]) ).

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

fof(f85,plain,
    ( n = g(j)
    | element(j,n)
    | n = j
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f84,f43]) ).

fof(f86,plain,
    ( element(j,n)
    | n = j
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f85,f18]) ).

fof(f88,definition,
    ( spl0_10
  <=> n = j ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f89,plain,
    ( n != j
    | spl0_10 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f90,plain,
    ( n = j
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f92,definition,
    ( spl0_11
  <=> element(j,n) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f94,plain,
    ( element(j,n)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f95,plain,
    ( spl0_10
    | spl0_11
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f86,f41,f92,f88]) ).

fof(f97,plain,
    ( ! [X0] :
        ( ~ element(X0,n)
        | k = X0
        | n = X0 )
    | ~ spl0_10 ),
    inference(superposition,[],[f6,f90]) ).

fof(f99,plain,
    ( ! [X0] :
        ( n = X0
        | ~ element(X0,n)
        | n = X0 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f97,f43]) ).

fof(f100,plain,
    ( ! [X0] :
        ( ~ element(X0,n)
        | n = X0 )
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f99]) ).

fof(f101,plain,
    ( m = f(k)
    | n = f(k)
    | k = f(k)
    | ~ element(k,m)
    | m = k ),
    inference(resolution,[],[f32,f14]) ).

fof(f106,plain,
    ( n = f(k)
    | k = f(k)
    | ~ element(k,m)
    | m = k ),
    inference(forward_subsumption_resolution,[],[f101,f8]) ).

fof(f108,plain,
    ( n = f(k)
    | ~ element(k,m)
    | m = k ),
    inference(forward_subsumption_resolution,[],[f106,f10]) ).

fof(f110,plain,
    ( n = f(n)
    | ~ element(k,m)
    | m = k
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f108,f43]) ).

fof(f111,plain,
    ( ~ element(n,m)
    | n = f(n)
    | m = k
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f110,f43]) ).

fof(f112,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(f120,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,[],[f112]) ).

fof(f123,plain,
    ! [X0] :
      ( element(f(X0),m)
      | m = X0
      | ~ element(f(X0),X0)
      | m = f(X0)
      | ~ element(X0,m) ),
    inference(forward_subsumption_resolution,[],[f120,f10]) ).

fof(f126,plain,
    ! [X0] :
      ( element(f(X0),m)
      | m = X0
      | m = f(X0)
      | ~ element(X0,m) ),
    inference(forward_subsumption_resolution,[],[f123,f14]) ).

fof(f129,plain,
    ! [X0] :
      ( element(f(X0),m)
      | m = X0
      | ~ element(X0,m) ),
    inference(forward_subsumption_resolution,[],[f126,f8]) ).

fof(f145,plain,
    ( m = n
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(resolution,[],[f100,f64]) ).

fof(f149,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f145,f1]) ).

fof(f150,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f149]) ).

fof(f151,plain,
    ( m = n
    | ~ element(n,m)
    | n = f(n)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f111,f43]) ).

fof(f156,plain,
    ( m = n
    | ~ element(n,m)
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f151,f10]) ).

fof(f159,plain,
    ( ~ element(n,m)
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f156,f1]) ).

fof(f162,plain,
    ( element(n,m)
    | m = j
    | n = j
    | ~ element(n,j)
    | m = n
    | ~ spl0_11 ),
    inference(resolution,[],[f94,f16]) ).

fof(f164,plain,
    ( m = j
    | n = j
    | ~ element(n,j)
    | m = n
    | ~ spl0_2
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f162,f159]) ).

fof(f165,plain,
    ( m = j
    | ~ element(n,j)
    | m = n
    | ~ spl0_2
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f164,f89]) ).

fof(f166,plain,
    ( m = j
    | m = n
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f165,f65]) ).

fof(f167,plain,
    ( m = j
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f166,f1]) ).

fof(f168,plain,
    ( spl0_7
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f167,f92,f88,f55,f41,f71]) ).

fof(f173,plain,
    ( element(n,m)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f65,f73]) ).

fof(f174,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f173,f159]) ).

fof(f175,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f174]) ).

fof(f178,plain,
    ( m = n
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f52,f43]) ).

fof(f184,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f178,f1]) ).

fof(f185,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f184]) ).

fof(f186,plain,
    ( element(n,m)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f39,f52]) ).

fof(f234,plain,
    ( n = j
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f61,f43]) ).

fof(f239,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f234,f89]) ).

fof(f240,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f239]) ).

fof(f265,plain,
    ( ! [X0] :
        ( ~ element(X0,m)
        | m = X0
        | n = X0
        | m = X0 )
    | ~ spl0_4 ),
    inference(superposition,[],[f32,f52]) ).

fof(f266,plain,
    ( ! [X0] :
        ( ~ element(X0,m)
        | m = X0
        | n = X0 )
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f298,plain,
    ( ! [X0] :
        ( m = X0
        | ~ element(X0,m)
        | m = f(X0)
        | n = f(X0) )
    | ~ spl0_4 ),
    inference(resolution,[],[f129,f266]) ).

fof(f312,plain,
    ( ! [X0] :
        ( ~ element(X0,m)
        | m = X0
        | n = f(X0) )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f298,f8]) ).

fof(f320,plain,
    ( m = n
    | n = f(n)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f312,f186]) ).

fof(f326,plain,
    ( n = f(n)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f320,f1]) ).

fof(f337,plain,
    ( n != n
    | ~ element(n,m)
    | m = n
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f10,f326]) ).

fof(f339,plain,
    ( ~ element(n,m)
    | m = n
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f337]) ).

fof(f340,plain,
    ( m = n
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f339,f186]) ).

fof(f343,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f340,f1]) ).

fof(f344,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f343]) ).

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,[],[f95]) ).

cnf(s7,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f150]) ).

cnf(s8,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_7
    | spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f168]) ).

cnf(s9,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(sat_conversion,[],[f175]) ).

cnf(s11,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f185]) ).

cnf(s16,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | spl0_10 ),
    inference(sat_conversion,[],[f240]) ).

cnf(s26,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s27,plain,
    ( spl0_10
    | ~ spl0_2 ),
    inference(rat,[],[s8,s9,s3,s16,s6]) ).

cnf(s28,plain,
    ( ~ spl0_3
    | ~ spl0_2 ),
    inference(rat,[],[s27,s7]) ).

cnf(s29,plain,
    ~ spl0_2,
    inference(rat,[],[s28,s2,s11]) ).

cnf(s30,plain,
    spl0_4,
    inference(rat,[],[s4,s29]) ).

cnf(s31,plain,
    spl0_1,
    inference(rat,[],[s1,s29]) ).

cnf(s32,plain,
    $false,
    inference(rat,[],[s26,s30,s31]) ).

fof(f347,plain,
    $false,
    inference(avatar_sat_refutation,[],[s32]) ).

%------------------------------------------------------------------------------
%----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 THM
% 0.09/0.19  % Computer : n008.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 15:20:54 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.03/1.10  % (2333804)Input is clausal, will run a generic CNF schedule.
% 3.03/1.10  % (2333810)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=711643970:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.03/1.10  % (2333814)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3136863486:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.03/1.10  % (2333809)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=412582196:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.03/1.10  % (2333813)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2273327219:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.03/1.10  % (2333811)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2508422939:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.03/1.10  % (2333815)dis-21_1_sil=8000:lcm=predicate:random_seed=1858428523:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.03/1.10  % (2333812)lrs+10_1_sil=8000:sp=occurrence:random_seed=575736666:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.03/1.10  % (2333812)First to succeed.
% 3.03/1.10  % (2333814)Also succeeded, but the first one will report.
% 3.03/1.10  % (2333812)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2333804"
% 3.03/1.10  % (2333813)Also succeeded, but the first one will report.
% 3.03/1.10  % (2333815)Instruction limit reached! 
% 3.03/1.10  % (2333815)------------------------------
% 3.03/1.10  % (2333815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.10  % (2333815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.10  % (2333815)CaDiCaL version: 2.1.3
% 3.03/1.10  % (2333815)Termination reason: Instruction limit
% 3.03/1.10  % (2333815)Termination phase: Saturation
% 3.03/1.10  % (2333815)Time elapsed: 0.053 s
% 3.03/1.10  % (2333815)Peak memory usage: 88 MB
% 3.03/1.10  % (2333815)Instructions burned: 119 (million)
% 3.03/1.10  % (2333823)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2997838411:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.03/1.10  % (2333823)Also succeeded, but the first one will report.
% 3.03/1.10  % (2333812)Refutation found. Thanks to Tanya!
% 3.03/1.10  % SZS status Unsatisfiable for theBenchmark
% 3.03/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.19  % (2333812)------------------------------
% 3.62/1.19  % (2333812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.19  % (2333812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.19  % (2333812)CaDiCaL version: 2.1.3
% 3.62/1.19  % (2333812)Termination reason: Refutation
% 3.62/1.19  % (2333812)Time elapsed: 0.009 s
% 3.62/1.19  % (2333812)Peak memory usage: 89 MB
% 3.62/1.19  % (2333812)Instructions burned: 11 (million)
% 3.62/1.19  % (2333812)------------------------------
% 3.62/1.19  % (2333812)------------------------------
% 3.62/1.19  % (2333804)Success in time 0.436 s
% 3.62/1.19  % Vampire exiting
%------------------------------------------------------------------------------