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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO077-4 : 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 : 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 09:51:27 AM UTC 2026

% Result   : Unsatisfiable 5.64s 1.65s
% Output   : Refutation 6.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   87 (  22 unt;   5 def)
%            Number of atoms       :  382 (  98 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  520 ( 225   ~; 290   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   48 (   0 sgn  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ line(X3)
      | X0 = X2
      | ~ on(X2,X1)
      | X1 = X3
      | ~ on(X0,X3)
      | ~ on(X2,X3)
      | ~ point(X0)
      | ~ point(X2)
      | ~ line(X1)
      | ~ on(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G1D) ).

fof(f31,axiom,
    ! [X2,X0,X1] :
      ( on(X0,line_through_3_points(X0,X1,X2))
      | ~ point(X1)
      | ~ point(X2)
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ point(X0)
      | ~ collinear(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10A) ).

fof(f32,axiom,
    ! [X2,X0,X1] :
      ( on(X1,line_through_3_points(X0,X1,X2))
      | ~ point(X1)
      | ~ point(X2)
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ point(X0)
      | ~ collinear(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10B) ).

fof(f33,axiom,
    ! [X2,X0,X1] :
      ( on(X2,line_through_3_points(X0,X1,X2))
      | ~ point(X1)
      | ~ point(X2)
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ point(X0)
      | ~ collinear(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10C) ).

fof(f34,axiom,
    ! [X2,X0,X1] :
      ( line(line_through_3_points(X0,X1,X2))
      | ~ point(X1)
      | ~ point(X2)
      | X0 = X1
      | X0 = X2
      | X1 = X2
      | ~ point(X0)
      | ~ collinear(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_G10D) ).

fof(f36,axiom,
    point(point1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1) ).

fof(f37,axiom,
    point(point2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point2) ).

fof(f38,axiom,
    point(point3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point3) ).

fof(f39,axiom,
    line(a_line),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',line) ).

fof(f40,axiom,
    on(point1,a_line),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1_on_line) ).

fof(f41,axiom,
    on(point2,a_line),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point2_on_line) ).

fof(f42,axiom,
    ~ on(point3,a_line),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point3_not_on_line) ).

fof(f43,axiom,
    point1 != point2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1_not_point2) ).

fof(f44,axiom,
    point1 != point3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point1_not_point3) ).

fof(f45,axiom,
    point2 != point3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',point2_not_point3) ).

fof(f46,negated_conjecture,
    collinear(point1,point2,point3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_points_noncollinear) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ line(X2)
      | ~ on(X1,X2)
      | a_line = X2
      | ~ on(X0,a_line)
      | ~ on(X1,a_line)
      | ~ point(X0)
      | ~ point(X1)
      | X0 = X1
      | ~ on(X0,X2) ),
    inference(resolution,[],[f5,f39]) ).

fof(f56,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ collinear(X1,X2,X3)
      | a_line = line_through_3_points(X1,X2,X3)
      | ~ on(X4,a_line)
      | ~ on(X0,a_line)
      | ~ point(X4)
      | ~ point(X0)
      | X0 = X4
      | ~ on(X4,line_through_3_points(X1,X2,X3))
      | ~ point(X2)
      | ~ point(X3)
      | X1 = X2
      | X1 = X3
      | X2 = X3
      | ~ point(X1)
      | ~ on(X0,line_through_3_points(X1,X2,X3)) ),
    inference(resolution,[],[f50,f34]) ).

fof(f143,definition,
    ( spl0_12
  <=> ! [X0,X1] :
        ( ~ on(X0,line_through_3_points(point1,point2,point3))
        | X0 = X1
        | ~ on(X0,a_line)
        | ~ point(X0)
        | ~ on(X1,line_through_3_points(point1,point2,point3))
        | ~ on(X1,a_line)
        | ~ point(X1) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f144,plain,
    ( ! [X0,X1] :
        ( ~ on(X0,a_line)
        | X0 = X1
        | ~ on(X0,line_through_3_points(point1,point2,point3))
        | ~ point(X0)
        | ~ on(X1,line_through_3_points(point1,point2,point3))
        | ~ on(X1,a_line)
        | ~ point(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f146,definition,
    ( spl0_13
  <=> a_line = line_through_3_points(point1,point2,point3) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f147,plain,
    ( a_line != line_through_3_points(point1,point2,point3)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f148,plain,
    ( a_line = line_through_3_points(point1,point2,point3)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f161,plain,
    ( ! [X0] :
        ( point2 = X0
        | ~ on(point2,line_through_3_points(point1,point2,point3))
        | ~ point(point2)
        | ~ on(X0,line_through_3_points(point1,point2,point3))
        | ~ on(X0,a_line)
        | ~ point(X0) )
    | ~ spl0_12 ),
    inference(resolution,[],[f144,f41]) ).

fof(f174,plain,
    ( ! [X0] :
        ( point2 = X0
        | ~ on(point2,line_through_3_points(point1,point2,point3))
        | ~ on(X0,line_through_3_points(point1,point2,point3))
        | ~ on(X0,a_line)
        | ~ point(X0) )
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f161,f37]) ).

fof(f199,definition,
    ( spl0_21
  <=> on(point2,line_through_3_points(point1,point2,point3)) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f201,plain,
    ( ~ on(point2,line_through_3_points(point1,point2,point3))
    | spl0_21 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f203,definition,
    ( spl0_22
  <=> ! [X0] :
        ( point2 = X0
        | ~ point(X0)
        | ~ on(X0,a_line)
        | ~ on(X0,line_through_3_points(point1,point2,point3)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f204,plain,
    ( ! [X0] :
        ( ~ on(X0,a_line)
        | ~ point(X0)
        | point2 = X0
        | ~ on(X0,line_through_3_points(point1,point2,point3)) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f207,definition,
    ( spl0_23
  <=> on(point1,line_through_3_points(point1,point2,point3)) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f208,plain,
    ( on(point1,line_through_3_points(point1,point2,point3))
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f209,plain,
    ( ~ on(point1,line_through_3_points(point1,point2,point3))
    | spl0_23 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f238,plain,
    ( ~ point(point2)
    | ~ point(point3)
    | point1 = point2
    | point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_21 ),
    inference(resolution,[],[f201,f32]) ).

fof(f239,plain,
    ( ~ point(point3)
    | point1 = point2
    | point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f238,f37]) ).

fof(f240,plain,
    ( point1 = point2
    | point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f239,f38]) ).

fof(f241,plain,
    ( point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f240,f43]) ).

fof(f242,plain,
    ( point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f241,f44]) ).

fof(f243,plain,
    ( ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f242,f45]) ).

fof(f244,plain,
    ( ~ collinear(point1,point2,point3)
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f243,f36]) ).

fof(f245,plain,
    ( $false
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f244,f46]) ).

fof(f246,plain,
    spl0_21,
    inference(avatar_contradiction_clause,[],[f245]) ).

fof(f258,plain,
    ( on(point3,a_line)
    | ~ point(point2)
    | ~ point(point3)
    | point1 = point2
    | point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | ~ spl0_13 ),
    inference(superposition,[],[f33,f148]) ).

fof(f262,plain,
    ( ~ point(point2)
    | ~ point(point3)
    | point1 = point2
    | point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f258,f42]) ).

fof(f263,plain,
    ( ~ point(point3)
    | point1 = point2
    | point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f262,f37]) ).

fof(f264,plain,
    ( point1 = point2
    | point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f263,f38]) ).

fof(f265,plain,
    ( point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f264,f43]) ).

fof(f266,plain,
    ( point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f265,f44]) ).

fof(f267,plain,
    ( ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f266,f45]) ).

fof(f268,plain,
    ( ~ collinear(point1,point2,point3)
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f267,f36]) ).

fof(f269,plain,
    ( $false
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f268,f46]) ).

fof(f270,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f269]) ).

fof(f272,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f174,f143,f203,f199]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( a_line = line_through_3_points(point1,point2,point3)
      | ~ on(X0,a_line)
      | ~ on(X1,a_line)
      | ~ point(X0)
      | ~ point(X1)
      | X0 = X1
      | ~ on(X0,line_through_3_points(point1,point2,point3))
      | ~ point(point2)
      | ~ point(point3)
      | point1 = point2
      | point1 = point3
      | point2 = point3
      | ~ point(point1)
      | ~ on(X1,line_through_3_points(point1,point2,point3)) ),
    inference(resolution,[],[f56,f46]) ).

fof(f307,plain,
    ( ! [X0,X1] :
        ( ~ on(X0,a_line)
        | ~ on(X1,a_line)
        | ~ point(X0)
        | ~ point(X1)
        | X0 = X1
        | ~ on(X0,line_through_3_points(point1,point2,point3))
        | ~ point(point2)
        | ~ point(point3)
        | point1 = point2
        | point1 = point3
        | point2 = point3
        | ~ point(point1)
        | ~ on(X1,line_through_3_points(point1,point2,point3)) )
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f300,f147]) ).

fof(f308,plain,
    ( ! [X0,X1] :
        ( ~ on(X0,a_line)
        | ~ on(X1,a_line)
        | ~ point(X0)
        | ~ point(X1)
        | X0 = X1
        | ~ on(X0,line_through_3_points(point1,point2,point3))
        | ~ point(point3)
        | point1 = point2
        | point1 = point3
        | point2 = point3
        | ~ point(point1)
        | ~ on(X1,line_through_3_points(point1,point2,point3)) )
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f307,f37]) ).

fof(f309,plain,
    ( ! [X0,X1] :
        ( ~ on(X0,a_line)
        | ~ on(X1,a_line)
        | ~ point(X0)
        | ~ point(X1)
        | X0 = X1
        | ~ on(X0,line_through_3_points(point1,point2,point3))
        | point1 = point2
        | point1 = point3
        | point2 = point3
        | ~ point(point1)
        | ~ on(X1,line_through_3_points(point1,point2,point3)) )
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f308,f38]) ).

fof(f310,plain,
    ( ! [X0,X1] :
        ( ~ on(X0,a_line)
        | ~ on(X1,a_line)
        | ~ point(X0)
        | ~ point(X1)
        | X0 = X1
        | ~ on(X0,line_through_3_points(point1,point2,point3))
        | point1 = point3
        | point2 = point3
        | ~ point(point1)
        | ~ on(X1,line_through_3_points(point1,point2,point3)) )
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f309,f43]) ).

fof(f311,plain,
    ( ! [X0,X1] :
        ( ~ on(X0,a_line)
        | ~ on(X1,a_line)
        | ~ point(X0)
        | ~ point(X1)
        | X0 = X1
        | ~ on(X0,line_through_3_points(point1,point2,point3))
        | point2 = point3
        | ~ point(point1)
        | ~ on(X1,line_through_3_points(point1,point2,point3)) )
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f310,f44]) ).

fof(f312,plain,
    ( ! [X0,X1] :
        ( ~ on(X0,a_line)
        | ~ on(X1,a_line)
        | ~ point(X0)
        | ~ point(X1)
        | X0 = X1
        | ~ on(X0,line_through_3_points(point1,point2,point3))
        | ~ point(point1)
        | ~ on(X1,line_through_3_points(point1,point2,point3)) )
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f311,f45]) ).

fof(f313,plain,
    ( ! [X0,X1] :
        ( ~ on(X0,a_line)
        | ~ on(X1,a_line)
        | ~ point(X0)
        | ~ point(X1)
        | X0 = X1
        | ~ on(X0,line_through_3_points(point1,point2,point3))
        | ~ on(X1,line_through_3_points(point1,point2,point3)) )
    | spl0_13 ),
    inference(forward_subsumption_resolution,[],[f312,f36]) ).

fof(f314,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f313,f146,f143]) ).

fof(f315,plain,
    ( ~ point(point2)
    | ~ point(point3)
    | point1 = point2
    | point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_23 ),
    inference(resolution,[],[f209,f31]) ).

fof(f316,plain,
    ( ~ point(point3)
    | point1 = point2
    | point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_23 ),
    inference(forward_subsumption_resolution,[],[f315,f37]) ).

fof(f317,plain,
    ( point1 = point2
    | point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_23 ),
    inference(forward_subsumption_resolution,[],[f316,f38]) ).

fof(f318,plain,
    ( point1 = point3
    | point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_23 ),
    inference(forward_subsumption_resolution,[],[f317,f43]) ).

fof(f319,plain,
    ( point2 = point3
    | ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_23 ),
    inference(forward_subsumption_resolution,[],[f318,f44]) ).

fof(f320,plain,
    ( ~ point(point1)
    | ~ collinear(point1,point2,point3)
    | spl0_23 ),
    inference(forward_subsumption_resolution,[],[f319,f45]) ).

fof(f321,plain,
    ( ~ collinear(point1,point2,point3)
    | spl0_23 ),
    inference(forward_subsumption_resolution,[],[f320,f36]) ).

fof(f322,plain,
    ( $false
    | spl0_23 ),
    inference(forward_subsumption_resolution,[],[f321,f46]) ).

fof(f323,plain,
    spl0_23,
    inference(avatar_contradiction_clause,[],[f322]) ).

fof(f359,plain,
    ( ~ point(point1)
    | point1 = point2
    | ~ on(point1,line_through_3_points(point1,point2,point3))
    | ~ spl0_22 ),
    inference(resolution,[],[f204,f40]) ).

fof(f366,plain,
    ( point1 = point2
    | ~ on(point1,line_through_3_points(point1,point2,point3))
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f359,f36]) ).

fof(f367,plain,
    ( ~ on(point1,line_through_3_points(point1,point2,point3))
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[],[f366,f43]) ).

fof(f368,plain,
    ( $false
    | ~ spl0_22
    | ~ spl0_23 ),
    inference(forward_subsumption_resolution,[],[f367,f208]) ).

fof(f369,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(avatar_contradiction_clause,[],[f368]) ).

cnf(s17,plain,
    spl0_21,
    inference(sat_conversion,[],[f246]) ).

cnf(s18,plain,
    ~ spl0_13,
    inference(sat_conversion,[],[f270]) ).

cnf(s19,plain,
    ( ~ spl0_12
    | ~ spl0_21
    | spl0_22 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s23,plain,
    ( spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s24,plain,
    spl0_23,
    inference(sat_conversion,[],[f323]) ).

cnf(s26,plain,
    ( ~ spl0_22
    | ~ spl0_23 ),
    inference(sat_conversion,[],[f369]) ).

cnf(s27,plain,
    ~ spl0_22,
    inference(rat,[],[s26,s24]) ).

cnf(s29,plain,
    ( ~ spl0_12
    | ~ spl0_21 ),
    inference(rat,[],[s19,s27]) ).

cnf(s30,plain,
    spl0_12,
    inference(rat,[],[s23,s18]) ).

cnf(s32,plain,
    ~ spl0_21,
    inference(rat,[],[s29,s30]) ).

cnf(s33,plain,
    $false,
    inference(rat,[],[s17,s32]) ).

fof(f370,plain,
    $false,
    inference(avatar_sat_refutation,[],[s33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO077-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  % Computer : n010.cluster.edu
% 0.14/0.41  % Model    : x86_64 x86_64
% 0.14/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41  % Memory   : 8046.5625MB
% 0.14/0.41  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Sun Sep 27 06:52:16 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 0.14/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.46  Running first-order theorem proving
% 0.14/0.46  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
% 5.64/1.65  % (589132)Input is clausal, will run a generic CNF schedule.
% 5.64/1.65  % (589143)dis-21_1_sil=8000:lcm=predicate:random_seed=480120857: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)
% 5.64/1.65  % (589143)Instruction limit reached! 
% 5.64/1.65  % (589143)------------------------------
% 5.64/1.65  % (589143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.65  % (589143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.65  % (589143)CaDiCaL version: 2.1.3
% 5.64/1.65  % (589143)Termination reason: Instruction limit
% 5.64/1.65  % (589143)Termination phase: Saturation
% 5.64/1.65  % (589143)Time elapsed: 0.061 s
% 5.64/1.65  % (589143)Peak memory usage: 90 MB
% 5.64/1.65  % (589143)Instructions burned: 117 (million)
% 5.64/1.65  % (589137)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=2911915490:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.64/1.65  % (589141)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2293202585:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.64/1.65  % (589139)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2166488841:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.64/1.65  % (589140)lrs+10_1_sil=8000:sp=occurrence:random_seed=4250339058:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.64/1.65  % (589142)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3740891641:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.64/1.65  % (589138)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3350710743:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.64/1.65  % (589140)Refutation not found, incomplete strategy
% 5.64/1.65  % (589140)------------------------------
% 5.64/1.65  % (589140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.65  % (589140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.65  % (589140)CaDiCaL version: 2.1.3
% 5.64/1.65  % (589140)Termination reason: Refutation not found, incomplete strategy
% 5.64/1.65  % (589140)Time elapsed: 0.002 s
% 5.64/1.65  % (589140)Peak memory usage: 87 MB
% 5.64/1.65  % (589140)Instructions burned: 1 (million)
% 5.64/1.65  % (589141)Refutation not found, incomplete strategy
% 5.64/1.65  % (589141)------------------------------
% 5.64/1.65  % (589141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.64/1.65  % (589141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.64/1.65  % (589141)CaDiCaL version: 2.1.3
% 5.64/1.65  % (589141)Termination reason: Refutation not found, incomplete strategy
% 5.64/1.65  % (589141)Time elapsed: 0.003 s
% 5.64/1.65  % (589141)Peak memory usage: 87 MB
% 5.64/1.65  % (589141)Instructions burned: 1 (million)
% 5.64/1.65  % (589142)First to succeed.
% 5.64/1.65  % (589142)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-589132"
% 5.64/1.65  % (589145)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=779041454:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.64/1.65  % (589145)Also succeeded, but the first one will report.
% 5.64/1.65  % (589140)------------------------------
% 5.64/1.65  % (589140)------------------------------
% 5.64/1.65  % (589141)------------------------------
% 5.64/1.65  % (589141)------------------------------
% 5.64/1.65  % (589142)Refutation found. Thanks to Tanya!
% 5.64/1.65  % SZS status Unsatisfiable for theBenchmark
% 5.64/1.65  % SZS output start Proof for theBenchmark
% See solution above
% 6.62/1.92  % (589142)------------------------------
% 6.62/1.92  % (589142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.62/1.92  % (589142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.62/1.92  % (589142)CaDiCaL version: 2.1.3
% 6.62/1.92  % (589142)Termination reason: Refutation
% 6.62/1.92  % (589142)Time elapsed: 0.033 s
% 6.62/1.92  % (589142)Peak memory usage: 89 MB
% 6.62/1.92  % (589142)Instructions burned: 33 (million)
% 6.62/1.92  % (589142)------------------------------
% 6.62/1.92  % (589142)------------------------------
% 6.62/1.92  % (589132)Success in time 0.858 s
% 6.62/1.92  % Vampire exiting
%------------------------------------------------------------------------------