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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COM011-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 09:39:22 AM UTC 2026

% Result   : Unsatisfiable 0.65s 1.02s
% Output   : Refutation 2.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   72 (  15 unt;   7 def)
%            Number of atoms       :  181 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  206 (  97   ~; 102   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   8 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   82 (   0 sgn  82   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,negated_conjecture,
    c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f3,negated_conjecture,
    ~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
      | c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiffE_1) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,X1,tc_set(X2))
      | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,X1,tc_set(X2))
      | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ c_lessequals(X4,X1,tc_set(X3))
      | ~ c_in(X0,c_UNITY_Oconstrains(X1,X2,X3),tc_UNITY_Oprogram(X3))
      | c_in(X0,c_UNITY_Oconstrains(X4,X2,X3),tc_UNITY_Oprogram(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__weaken__L_0) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_UNITY_Oconstrains(c_minus(X1,X2,tc_set(X3)),c_union(X1,X2,X3),X3),tc_UNITY_Oprogram(X3))
      | ~ c_in(X0,c_WFair_Otransient(c_minus(X1,X2,tc_set(X3)),X3),tc_UNITY_Oprogram(X3))
      | c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_OensuresI_0) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3))
      | c_in(X0,c_WFair_OleadsTo(X1,X2,X3),tc_UNITY_Oprogram(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_OleadsTo__Basis_0) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X3,X1,tc_set(X2))
      | ~ c_in(X0,c_WFair_Otransient(X1,X2),tc_UNITY_Oprogram(X2))
      | c_in(X0,c_WFair_Otransient(X3,X2),tc_UNITY_Oprogram(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_Otransient__strengthen_0) ).

fof(f11,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_WFair_Otransient(X3,X2),tc_UNITY_Oprogram(X2))
      | ~ c_in(X0,c_WFair_Otransient(X1,X2),tc_UNITY_Oprogram(X2))
      | ~ c_in(c_Main_OsubsetI__1(X3,X1,X2),X1,X2) ),
    inference(resolution,[],[f10,f6]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(X3,X1,X2),X3,X2)
      | c_in(X0,c_WFair_Otransient(X3,X2),tc_UNITY_Oprogram(X2))
      | ~ c_in(X0,c_WFair_Otransient(X1,X2),tc_UNITY_Oprogram(X2)) ),
    inference(resolution,[],[f10,f5]) ).

fof(f13,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_in(X0,c_UNITY_Oconstrains(X4,X2,X3),tc_UNITY_Oprogram(X3))
      | ~ c_in(X0,c_UNITY_Oconstrains(X1,X2,X3),tc_UNITY_Oprogram(X3))
      | ~ c_in(c_Main_OsubsetI__1(X4,X1,X3),X1,X3) ),
    inference(resolution,[],[f7,f6]) ).

fof(f14,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_in(X0,c_UNITY_Oconstrains(X4,X2,X3),tc_UNITY_Oprogram(X3))
      | ~ c_in(X0,c_UNITY_Oconstrains(X1,X2,X3),tc_UNITY_Oprogram(X3))
      | c_in(c_Main_OsubsetI__1(X4,X1,X3),X4,X3) ),
    inference(resolution,[],[f7,f5]) ).

fof(f15,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_in(c_Main_OsubsetI__1(c_minus(X1,X2,tc_set(X3)),X4,X3),X1,X3)
      | ~ c_in(X0,c_WFair_Otransient(X4,X3),tc_UNITY_Oprogram(X3))
      | c_in(X0,c_WFair_Otransient(c_minus(X1,X2,tc_set(X3)),X3),tc_UNITY_Oprogram(X3)) ),
    inference(resolution,[],[f12,f4]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_in(X0,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4))
      | ~ c_in(c_Main_OsubsetI__1(c_minus(X2,X3,tc_set(X4)),X1,X4),X1,X4)
      | ~ c_in(X0,c_WFair_Otransient(c_minus(X2,X3,tc_set(X4)),X4),tc_UNITY_Oprogram(X4))
      | ~ c_in(X0,c_UNITY_Oconstrains(X1,c_union(X2,X3,X4),X4),tc_UNITY_Oprogram(X4)) ),
    inference(resolution,[],[f13,f8]) ).

fof(f19,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_in(c_Main_OsubsetI__1(c_minus(X2,X3,tc_set(X4)),X1,X4),c_minus(X2,X3,tc_set(X4)),X4)
      | ~ c_in(X0,c_UNITY_Oconstrains(X1,c_union(X2,X3,X4),X4),tc_UNITY_Oprogram(X4))
      | ~ c_in(X0,c_WFair_Otransient(c_minus(X2,X3,tc_set(X4)),X4),tc_UNITY_Oprogram(X4))
      | c_in(X0,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4)) ),
    inference(resolution,[],[f14,f8]) ).

fof(f26,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_in(X4,c_WFair_OleadsTo(X0,X1,X2),tc_UNITY_Oprogram(X2))
      | ~ c_in(X4,c_WFair_Otransient(c_minus(X0,X1,tc_set(X2)),X2),tc_UNITY_Oprogram(X2))
      | ~ c_in(X4,c_UNITY_Oconstrains(X3,c_union(X0,X1,X2),X2),tc_UNITY_Oprogram(X2))
      | ~ c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X3,X2) ),
    inference(resolution,[],[f18,f9]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ c_in(v_F,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
      | ~ c_in(v_F,c_UNITY_Oconstrains(X0,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
      | ~ c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),X0,t_a),X0,t_a) ),
    inference(resolution,[],[f26,f3]) ).

fof(f29,definition,
    ( spl0_1
  <=> ! [X0] :
        ( ~ c_in(v_F,c_UNITY_Oconstrains(X0,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
        | ~ c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),X0,t_a),X0,t_a) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f30,plain,
    ( ! [X0] :
        ( ~ c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),X0,t_a),X0,t_a)
        | ~ c_in(v_F,c_UNITY_Oconstrains(X0,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f32,definition,
    ( spl0_2
  <=> c_in(v_F,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f33,plain,
    ( ~ c_in(v_F,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f34,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f27,f32,f29]) ).

fof(f35,plain,
    ( ! [X0] :
        ( ~ c_in(c_Main_OsubsetI__1(c_minus(v_A,v_B,tc_set(t_a)),X0,t_a),X0,t_a)
        | ~ c_in(v_F,c_WFair_Otransient(X0,t_a),tc_UNITY_Oprogram(t_a)) )
    | spl0_2 ),
    inference(resolution,[],[f33,f11]) ).

fof(f36,plain,
    ( ! [X0] :
        ( ~ c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))
        | ~ c_in(X0,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))
        | c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a)) )
    | spl0_2 ),
    inference(resolution,[],[f35,f15]) ).

fof(f39,definition,
    ( spl0_3
  <=> ! [X0] :
        ( ~ c_in(X0,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))
        | c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f40,plain,
    ( ! [X0] :
        ( c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
        | ~ c_in(X0,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f42,definition,
    ( spl0_4
  <=> c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f43,plain,
    ( ~ c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f44,plain,
    ( spl0_3
    | ~ spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f36,f32,f42,f39]) ).

fof(f45,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f43,f2]) ).

fof(f47,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f48,plain,
    ( ~ c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))
    | spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f40,f33]) ).

fof(f49,plain,
    ( ~ spl0_4
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f48,f39,f32,f42]) ).

fof(f50,plain,
    ( ! [X0] :
        ( ~ c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
        | ~ c_in(X0,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))
        | c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f30,f15]) ).

fof(f53,plain,
    ! [X2,X3,X0,X1,X4] :
      ( c_in(c_Main_OsubsetI__1(c_minus(X2,X3,tc_set(X4)),X1,X4),X2,X4)
      | ~ c_in(X0,c_WFair_Otransient(c_minus(X2,X3,tc_set(X4)),X4),tc_UNITY_Oprogram(X4))
      | c_in(X0,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4))
      | ~ c_in(X0,c_UNITY_Oconstrains(X1,c_union(X2,X3,X4),X4),tc_UNITY_Oprogram(X4)) ),
    inference(resolution,[],[f19,f4]) ).

fof(f54,plain,
    ( ! [X0] :
        ( ~ c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
        | c_in(X0,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))
        | ~ c_in(X0,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
        | ~ c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) )
    | ~ spl0_1 ),
    inference(resolution,[],[f53,f30]) ).

fof(f59,definition,
    ( spl0_5
  <=> c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f60,plain,
    ( ~ c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f62,definition,
    ( spl0_6
  <=> ! [X0] :
        ( ~ c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
        | ~ c_in(X0,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
        | c_in(X0,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f63,plain,
    ( ! [X0] :
        ( ~ c_in(X0,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
        | ~ c_in(X0,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
        | c_in(X0,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f64,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f54,f29,f62,f59]) ).

fof(f65,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f60,f1]) ).

fof(f68,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f65]) ).

fof(f69,plain,
    ( ! [X0] :
        ( ~ c_in(X0,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
        | c_in(X0,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))
        | ~ c_in(X0,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)) )
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(resolution,[],[f63,f40]) ).

fof(f76,plain,
    ( c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))
    | ~ c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a))
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(resolution,[],[f69,f1]) ).

fof(f84,definition,
    ( spl0_7
  <=> c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f85,plain,
    ( c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f87,plain,
    ( spl0_3
    | ~ spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f50,f29,f59,f39]) ).

fof(f88,plain,
    ( ~ spl0_4
    | spl0_7
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f76,f62,f39,f84,f42]) ).

fof(f90,plain,
    ( c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))
    | ~ spl0_7 ),
    inference(resolution,[],[f85,f9]) ).

fof(f92,plain,
    ( $false
    | ~ spl0_7 ),
    inference(resolution,[],[f90,f3]) ).

fof(f93,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f92]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f34]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f44]) ).

cnf(s3,plain,
    spl0_4,
    inference(sat_conversion,[],[f47]) ).

cnf(s4,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f49]) ).

cnf(s5,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f64]) ).

cnf(s6,plain,
    spl0_5,
    inference(sat_conversion,[],[f68]) ).

cnf(s8,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f87]) ).

cnf(s9,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f88]) ).

cnf(s10,plain,
    ~ spl0_7,
    inference(sat_conversion,[],[f93]) ).

cnf(s11,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(rat,[],[s9,s10]) ).

cnf(s13,plain,
    ( ~ spl0_1
    | spl0_6 ),
    inference(rat,[],[s5,s6]) ).

cnf(s14,plain,
    ( spl0_2
    | spl0_3 ),
    inference(rat,[],[s2,s3]) ).

cnf(s15,plain,
    spl0_2,
    inference(rat,[],[s14,s4,s3]) ).

cnf(s16,plain,
    spl0_1,
    inference(rat,[],[s1,s15]) ).

cnf(s17,plain,
    spl0_3,
    inference(rat,[],[s8,s6,s16]) ).

cnf(s18,plain,
    spl0_6,
    inference(rat,[],[s13,s16]) ).

cnf(s19,plain,
    $false,
    inference(rat,[],[s11,s3,s18,s17]) ).

fof(f94,plain,
    $false,
    inference(avatar_sat_refutation,[],[s19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : COM011-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23  % Computer : n009.cluster.edu
% 0.10/0.23  % Model    : x86_64 x86_64
% 0.10/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23  % Memory   : 8046.5625MB
% 0.10/0.23  % OS       : Linux 6.8.0-71-generic
% 0.10/0.24  % CPULimit : 300
% 0.10/0.24  % WCLimit  : 300
% 0.10/0.24  % DateTime : Mon Sep 28 21:44:46 UTC 2026
% 0.10/0.24  % CPUTime  : 
% 0.10/0.24  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.29  Running first-order theorem proving
% 0.22/0.29  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
% 0.65/1.02  % (3522785)Input is clausal, will run a generic CNF schedule.
% 0.65/1.02  % (3522805)dis-21_1_sil=8000:lcm=predicate:random_seed=1123616176:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 0.65/1.02  % (3522805)First to succeed.
% 0.65/1.02  % (3522805)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3522785"
% 0.65/1.02  % (3522802)lrs+10_1_sil=8000:sp=occurrence:random_seed=149623283:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 0.65/1.02  % (3522800)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1977437393:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 0.65/1.02  % (3522804)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=517141952:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 0.65/1.02  % (3522801)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=846614576:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 0.65/1.02  % (3522799)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=3766273330:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 0.65/1.02  % (3522803)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3040123524:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 0.65/1.02  % (3522803)Refutation not found, incomplete strategy
% 0.65/1.02  % (3522803)------------------------------
% 0.65/1.02  % (3522803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.65/1.02  % (3522803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/1.02  % (3522803)CaDiCaL version: 2.1.3
% 0.65/1.02  % (3522803)Termination reason: Refutation not found, incomplete strategy
% 0.65/1.02  % (3522803)Time elapsed: 0.001 s
% 0.65/1.02  % (3522803)Peak memory usage: 87 MB
% 0.65/1.02  % (3522804)Also succeeded, but the first one will report.
% 0.65/1.02  % (3522802)Also succeeded, but the first one will report.
% 0.65/1.02  % (3522805)Refutation found. Thanks to Tanya!
% 0.65/1.02  % SZS status Unsatisfiable for theBenchmark
% 0.65/1.02  % SZS output start Proof for theBenchmark
% See solution above
% 2.99/1.16  % (3522805)------------------------------
% 2.99/1.16  % (3522805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.16  % (3522805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.16  % (3522805)CaDiCaL version: 2.1.3
% 2.99/1.16  % (3522805)Termination reason: Refutation
% 2.99/1.16  % (3522805)Time elapsed: 0.003 s
% 2.99/1.16  % (3522805)Peak memory usage: 89 MB
% 2.99/1.16  % (3522805)Instructions burned: 6 (million)
% 2.99/1.16  % (3522805)------------------------------
% 2.99/1.16  % (3522805)------------------------------
% 2.99/1.16  % (3522785)Success in time 0.332 s
% 2.99/1.16  % Vampire exiting
%------------------------------------------------------------------------------