TSTP Solution File: SYN013-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:01:48 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  125 (   9 unt;   0 def)
%            Number of atoms       :  422 ( 175 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  442 ( 145   ~; 289   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   9 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   37 (  37   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f209,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f60,f82,f106,f110,f115,f144,f153,f163,f174,f177,f191,f208]) ).

fof(f208,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f207]) ).

fof(f207,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f206,f29]) ).

fof(f29,plain,
    ( element(k,m)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl0_1
  <=> element(k,m) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f206,plain,
    ( ~ element(k,m)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f205,f3]) ).

fof(f3,axiom,
    m != k,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_3) ).

fof(f205,plain,
    ( m = k
    | ~ element(k,m)
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f204]) ).

fof(f204,plain,
    ( m != m
    | m = k
    | ~ element(k,m)
    | ~ spl0_2 ),
    inference(superposition,[],[f4,f34]) ).

fof(f34,plain,
    ( m = f(k)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl0_2
  <=> m = f(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f4,axiom,
    ! [X0] :
      ( m != f(X0)
      | m = X0
      | ~ element(X0,m) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_4) ).

fof(f191,plain,
    ( spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f190]) ).

fof(f190,plain,
    ( $false
    | spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f189,f2]) ).

fof(f2,axiom,
    n != k,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_2) ).

fof(f189,plain,
    ( n = k
    | spl0_5
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f184,f46]) ).

fof(f46,plain,
    ( ~ element(k,n)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f45,plain,
    ( spl0_5
  <=> element(k,n) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f184,plain,
    ( element(k,n)
    | n = k
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f182]) ).

fof(f182,plain,
    ( k != k
    | element(k,n)
    | n = k
    | ~ spl0_8 ),
    inference(superposition,[],[f10,f59]) ).

fof(f59,plain,
    ( k = g(k)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl0_8
  <=> k = g(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f10,axiom,
    ! [X0] :
      ( g(X0) != X0
      | element(X0,n)
      | n = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_10) ).

fof(f177,plain,
    ( spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f176]) ).

fof(f176,plain,
    ( $false
    | spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f175,f2]) ).

fof(f175,plain,
    ( n = k
    | spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f170,f46]) ).

fof(f170,plain,
    ( element(k,n)
    | n = k
    | ~ spl0_7 ),
    inference(trivial_inequality_removal,[],[f169]) ).

fof(f169,plain,
    ( n != n
    | element(k,n)
    | n = k
    | ~ spl0_7 ),
    inference(superposition,[],[f9,f55]) ).

fof(f55,plain,
    ( n = g(k)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f53,plain,
    ( spl0_7
  <=> n = g(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f9,axiom,
    ! [X0] :
      ( n != g(X0)
      | element(X0,n)
      | n = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_9) ).

fof(f174,plain,
    ( spl0_5
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f173]) ).

fof(f173,plain,
    ( $false
    | spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f172,f2]) ).

fof(f172,plain,
    ( n = k
    | spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f171,f46]) ).

fof(f171,plain,
    ( element(k,n)
    | n = k
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ( element(k,n)
    | element(k,n)
    | n = k
    | ~ spl0_7 ),
    inference(superposition,[],[f11,f55]) ).

fof(f11,axiom,
    ! [X0] :
      ( element(X0,g(X0))
      | element(X0,n)
      | n = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_11) ).

fof(f163,plain,
    ( spl0_1
    | spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f162]) ).

fof(f162,plain,
    ( $false
    | spl0_1
    | spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f161,f2]) ).

fof(f161,plain,
    ( n = k
    | spl0_1
    | spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f160,f46]) ).

fof(f160,plain,
    ( element(k,n)
    | n = k
    | spl0_1
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f157,f30]) ).

fof(f30,plain,
    ( ~ element(k,m)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f157,plain,
    ( element(k,m)
    | element(k,n)
    | n = k
    | ~ spl0_6 ),
    inference(superposition,[],[f11,f51]) ).

fof(f51,plain,
    ( m = g(k)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl0_6
  <=> m = g(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f153,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f152]) ).

fof(f152,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_5 ),
    inference(subsumption_resolution,[],[f151,f29]) ).

fof(f151,plain,
    ( ~ element(k,m)
    | ~ spl0_3
    | spl0_5 ),
    inference(subsumption_resolution,[],[f150,f3]) ).

fof(f150,plain,
    ( m = k
    | ~ element(k,m)
    | ~ spl0_3
    | spl0_5 ),
    inference(subsumption_resolution,[],[f147,f46]) ).

fof(f147,plain,
    ( element(k,n)
    | m = k
    | ~ element(k,m)
    | ~ spl0_3 ),
    inference(superposition,[],[f6,f38]) ).

fof(f38,plain,
    ( n = f(k)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_3
  <=> n = f(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f6,axiom,
    ! [X0] :
      ( element(X0,f(X0))
      | m = X0
      | ~ element(X0,m) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_6) ).

fof(f144,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f143]) ).

fof(f143,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f142,f29]) ).

fof(f142,plain,
    ( ~ element(k,m)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f137,f3]) ).

fof(f137,plain,
    ( m = k
    | ~ element(k,m)
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f135]) ).

fof(f135,plain,
    ( k != k
    | m = k
    | ~ element(k,m)
    | ~ spl0_4 ),
    inference(superposition,[],[f5,f42]) ).

fof(f42,plain,
    ( k = f(k)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_4
  <=> k = f(k) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f5,axiom,
    ! [X0] :
      ( f(X0) != X0
      | m = X0
      | ~ element(X0,m) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_5) ).

fof(f115,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f114]) ).

fof(f114,plain,
    ( $false
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f17,f18,f1,f2,f3,f19,f20,f4,f5,f6,f7,f9,f10,f11,f12,f16,f25,f26,f47,f8,f72,f76,f85,f87,f80,f13,f100,f104,f108,f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ element(g(X0),n)
      | n = X0
      | element(X0,n) ),
    inference(subsumption_resolution,[],[f112,f9]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ element(g(X0),n)
      | n = X0
      | n = g(X0)
      | element(X0,n) ),
    inference(subsumption_resolution,[],[f111,f10]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ element(g(X0),n)
      | g(X0) = X0
      | n = X0
      | n = g(X0)
      | element(X0,n) ),
    inference(subsumption_resolution,[],[f95,f12]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ element(g(X0),X0)
      | ~ element(g(X0),n)
      | g(X0) = X0
      | n = X0
      | n = g(X0)
      | element(X0,n) ),
    inference(duplicate_literal_removal,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ element(g(X0),X0)
      | ~ element(g(X0),n)
      | g(X0) = X0
      | n = X0
      | n = g(X0)
      | element(X0,n)
      | n = X0 ),
    inference(resolution,[],[f13,f11]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ element(f(X0),n)
      | n = X0
      | n = f(X0)
      | m = X0
      | ~ element(X0,m) ),
    inference(subsumption_resolution,[],[f107,f5]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ element(f(X0),n)
      | f(X0) = X0
      | n = X0
      | n = f(X0)
      | m = X0
      | ~ element(X0,m) ),
    inference(subsumption_resolution,[],[f93,f7]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ element(f(X0),X0)
      | ~ element(f(X0),n)
      | f(X0) = X0
      | n = X0
      | n = f(X0)
      | m = X0
      | ~ element(X0,m) ),
    inference(resolution,[],[f13,f6]) ).

fof(f104,plain,
    ( ~ element(k,m)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f103,f2]) ).

fof(f103,plain,
    ( ~ element(k,m)
    | n = k
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f102,f1]) ).

fof(f102,plain,
    ( ~ element(k,m)
    | m = n
    | n = k
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f101,f3]) ).

fof(f101,plain,
    ( ~ element(k,m)
    | m = k
    | m = n
    | n = k
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f92,f47]) ).

fof(f92,plain,
    ( ~ element(k,m)
    | ~ element(k,n)
    | m = k
    | m = n
    | n = k ),
    inference(resolution,[],[f13,f20]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ element(X0,n)
      | n = f(X0)
      | n = X0
      | m = X0
      | ~ element(X0,m) ),
    inference(subsumption_resolution,[],[f99,f5]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ element(X0,n)
      | f(X0) = X0
      | n = f(X0)
      | n = X0
      | m = X0
      | ~ element(X0,m) ),
    inference(subsumption_resolution,[],[f88,f6]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ element(X0,f(X0))
      | ~ element(X0,n)
      | f(X0) = X0
      | n = f(X0)
      | n = X0
      | m = X0
      | ~ element(X0,m) ),
    inference(resolution,[],[f13,f7]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ element(X1,X0)
      | ~ element(X0,X1)
      | ~ element(X0,n)
      | X0 = X1
      | n = X1
      | n = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_13) ).

fof(f80,plain,
    ( element(k,m)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f79,f3]) ).

fof(f79,plain,
    ( m = k
    | element(k,m)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f78,f1]) ).

fof(f78,plain,
    ( m = n
    | m = k
    | element(k,m)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f77,f2]) ).

fof(f77,plain,
    ( n = k
    | m = n
    | m = k
    | element(k,m)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f64,f47]) ).

fof(f64,plain,
    ( ~ element(k,n)
    | n = k
    | m = n
    | m = k
    | element(k,m) ),
    inference(resolution,[],[f8,f19]) ).

fof(f87,plain,
    ! [X0] :
      ( m = X0
      | m = g(X0)
      | element(g(X0),m)
      | element(X0,n)
      | n = X0 ),
    inference(subsumption_resolution,[],[f86,f10]) ).

fof(f86,plain,
    ! [X0] :
      ( g(X0) = X0
      | m = X0
      | m = g(X0)
      | element(g(X0),m)
      | element(X0,n)
      | n = X0 ),
    inference(subsumption_resolution,[],[f67,f12]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ element(g(X0),X0)
      | g(X0) = X0
      | m = X0
      | m = g(X0)
      | element(g(X0),m)
      | element(X0,n)
      | n = X0 ),
    inference(resolution,[],[f8,f11]) ).

fof(f85,plain,
    ! [X0] :
      ( m = X0
      | element(f(X0),m)
      | ~ element(X0,m) ),
    inference(subsumption_resolution,[],[f84,f4]) ).

fof(f84,plain,
    ! [X0] :
      ( m = X0
      | m = f(X0)
      | element(f(X0),m)
      | ~ element(X0,m) ),
    inference(subsumption_resolution,[],[f83,f5]) ).

fof(f83,plain,
    ! [X0] :
      ( f(X0) = X0
      | m = X0
      | m = f(X0)
      | element(f(X0),m)
      | ~ element(X0,m) ),
    inference(subsumption_resolution,[],[f68,f7]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ element(f(X0),X0)
      | f(X0) = X0
      | m = X0
      | m = f(X0)
      | element(f(X0),m)
      | ~ element(X0,m) ),
    inference(duplicate_literal_removal,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ element(f(X0),X0)
      | f(X0) = X0
      | m = X0
      | m = f(X0)
      | element(f(X0),m)
      | m = X0
      | ~ element(X0,m) ),
    inference(resolution,[],[f8,f6]) ).

fof(f76,plain,
    ( element(n,m)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f75,f1]) ).

fof(f75,plain,
    ( m = n
    | element(n,m)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f74,f3]) ).

fof(f74,plain,
    ( m = k
    | m = n
    | element(n,m)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f73,f2]) ).

fof(f73,plain,
    ( n = k
    | m = k
    | m = n
    | element(n,m)
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f63,f19]) ).

fof(f63,plain,
    ( ~ element(n,k)
    | n = k
    | m = k
    | m = n
    | element(n,m)
    | ~ spl0_5 ),
    inference(resolution,[],[f8,f47]) ).

fof(f72,plain,
    ! [X0] :
      ( m = g(X0)
      | m = X0
      | element(X0,m)
      | element(X0,n)
      | n = X0 ),
    inference(subsumption_resolution,[],[f71,f10]) ).

fof(f71,plain,
    ! [X0] :
      ( g(X0) = X0
      | m = g(X0)
      | m = X0
      | element(X0,m)
      | element(X0,n)
      | n = X0 ),
    inference(subsumption_resolution,[],[f62,f11]) ).

fof(f62,plain,
    ! [X0] :
      ( ~ element(X0,g(X0))
      | g(X0) = X0
      | m = g(X0)
      | m = X0
      | element(X0,m)
      | element(X0,n)
      | n = X0 ),
    inference(resolution,[],[f8,f12]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ element(X1,X0)
      | ~ element(X0,X1)
      | X0 = X1
      | m = X1
      | m = X0
      | element(X0,m) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_8) ).

fof(f47,plain,
    ( element(k,n)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f26,plain,
    ( k = g(k)
    | n = g(k)
    | m = g(k)
    | element(k,n) ),
    inference(subsumption_resolution,[],[f24,f2]) ).

fof(f24,plain,
    ( k = g(k)
    | n = g(k)
    | m = g(k)
    | element(k,n)
    | n = k ),
    inference(resolution,[],[f16,f12]) ).

fof(f25,plain,
    ( k = f(k)
    | n = f(k)
    | m = f(k)
    | ~ element(k,m) ),
    inference(subsumption_resolution,[],[f23,f3]) ).

fof(f23,plain,
    ( k = f(k)
    | n = f(k)
    | m = f(k)
    | m = k
    | ~ element(k,m) ),
    inference(resolution,[],[f16,f7]) ).

fof(f16,axiom,
    ! [X0] :
      ( ~ element(X0,k)
      | k = X0
      | n = X0
      | m = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_16) ).

fof(f12,axiom,
    ! [X0] :
      ( element(g(X0),X0)
      | element(X0,n)
      | n = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).

fof(f7,axiom,
    ! [X0] :
      ( element(f(X0),X0)
      | m = X0
      | ~ element(X0,m) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_7) ).

fof(f20,plain,
    element(m,k),
    inference(global_subsumption,[],[f2,f3,f1,f17,f19,f18]) ).

fof(f19,plain,
    element(n,k),
    inference(global_subsumption,[],[f2,f3,f1,f17]) ).

fof(f1,axiom,
    m != n,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_1) ).

fof(f18,plain,
    ( m = k
    | element(m,k) ),
    inference(equality_resolution,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( m != X0
      | k = X0
      | element(X0,k) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).

fof(f17,plain,
    ( n = k
    | element(n,k) ),
    inference(equality_resolution,[],[f15]) ).

fof(f15,axiom,
    ! [X0] :
      ( n != X0
      | k = X0
      | element(X0,k) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_15) ).

fof(f110,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f109]) ).

fof(f109,plain,
    ( $false
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f17,f18,f1,f2,f3,f19,f20,f4,f5,f6,f7,f9,f10,f11,f12,f16,f25,f26,f47,f8,f72,f76,f85,f87,f80,f13,f100,f104,f108]) ).

fof(f106,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f105]) ).

fof(f105,plain,
    ( $false
    | ~ spl0_5 ),
    inference(global_subsumption,[],[f17,f18,f1,f2,f3,f19,f20,f4,f5,f6,f7,f9,f10,f11,f12,f16,f25,f26,f47,f8,f72,f76,f85,f87,f80,f13,f100,f104]) ).

fof(f82,plain,
    ( spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f81]) ).

fof(f81,plain,
    ( $false
    | spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f80,f30]) ).

fof(f60,plain,
    ( spl0_5
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f26,f57,f53,f49,f45]) ).

fof(f43,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f25,f40,f36,f32,f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 01:46:51 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (20230)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (20233)WARNING: value z3 for option sas not known
% 0.21/0.37  % (20232)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37  % (20231)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37  % (20234)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37  % (20233)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  % (20236)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.37  % (20237)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.37  % (20235)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.37  Detected minimum model sizes of [3]
% 0.21/0.37  Detected maximum model sizes of [max]
% 0.21/0.37  TRYING [3]
% 0.21/0.38  TRYING [4]
% 0.21/0.38  TRYING [5]
% 0.21/0.38  Detected minimum model sizes of [3]
% 0.21/0.38  Detected maximum model sizes of [max]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [6]
% 0.21/0.38  TRYING [7]
% 0.21/0.38  TRYING [4]
% 0.21/0.38  % (20233)First to succeed.
% 0.21/0.38  Detected minimum model sizes of [3]
% 0.21/0.38  Detected maximum model sizes of [max]
% 0.21/0.38  TRYING [3]
% 0.21/0.38  TRYING [4]
% 0.21/0.38  % (20235)Also succeeded, but the first one will report.
% 0.21/0.38  TRYING [8]
% 0.21/0.38  TRYING [5]
% 0.21/0.38  % (20233)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (20233)------------------------------
% 0.21/0.38  % (20233)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38  % (20233)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (20233)Memory used [KB]: 805
% 0.21/0.38  % (20233)Time elapsed: 0.010 s
% 0.21/0.38  % (20233)Instructions burned: 12 (million)
% 0.21/0.38  % (20233)------------------------------
% 0.21/0.38  % (20233)------------------------------
% 0.21/0.38  % (20230)Success in time 0.026 s
%------------------------------------------------------------------------------