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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : COL095-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 09:38:27 AM UTC 2026

% Result   : Unsatisfiable 8.86s 1.45s
% Output   : Refutation 8.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  101 (  17 unt;   7 def)
%            Number of atoms       :  222 (  27 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  239 ( 118   ~; 114   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   8 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :   65 (   0 sgn  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] : combK != comb_app(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_app) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( comb_app(X0,X1) != comb_app(X2,X3)
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app1) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( comb_app(X0,X1) != comb_app(X2,X3)
      | X1 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app2) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ member(comb_app(X0,X1),comb)
      | member(X0,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E1) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ member(comb_app(X0,X1),comb)
      | member(X1,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_E2) ).

fof(f37,axiom,
    ! [X0] :
      ( member(pair(X0,X0),parcontract)
      | ~ member(X0,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros1) ).

fof(f38,axiom,
    ! [X0,X1] :
      ( member(pair(comb_app(comb_app(combK,X0),X1),X0),parcontract)
      | ~ member(X1,comb)
      | ~ member(X0,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_intros2) ).

fof(f47,axiom,
    ! [X2,X0,X1] :
      ( ~ member(pair(comb_app(X0,X1),X2),parcontract)
      | ap_parcontractE_c1(X0,X1,X2)
      | ap_parcontractE_c2(X0,X1,X2)
      | ap_parcontractE_c3(X0,X1,X2)
      | ap_parcontractE_c4(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE1) ).

fof(f49,axiom,
    ! [X2,X0,X1] :
      ( ~ ap_parcontractE_c1(X0,X1,X2)
      | X2 = comb_app(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE3) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ ap_parcontractE_c1(X0,X1,X2)
      | comb_app(X0,X1) = X2 ),
    inference(reorient_equations,[],[f49]) ).

fof(f53,axiom,
    ! [X2,X0,X1] :
      ( ~ ap_parcontractE_c2(X0,X1,X2)
      | X0 = comb_app(combK,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE6) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( ~ ap_parcontractE_c2(X0,X1,X2)
      | comb_app(combK,X2) = X0 ),
    inference(reorient_equations,[],[f53]) ).

fof(f60,axiom,
    ! [X2,X0,X1] :
      ( ~ ap_parcontractE_c3(X0,X1,X2)
      | X0 = comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE11) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( ~ ap_parcontractE_c3(X0,X1,X2)
      | comb_app(comb_app(combS,ap_parcontractE_sk1p(X0,X1,X2)),ap_parcontractE_sk1q(X0,X1,X2)) = X0 ),
    inference(reorient_equations,[],[f60]) ).

fof(f62,axiom,
    ! [X2,X0,X1] :
      ( member(pair(X0,ap_parcontractE_sk2q(X0,X1,X2)),parcontract)
      | ~ ap_parcontractE_c4(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE12) ).

fof(f64,axiom,
    ! [X2,X0,X1] :
      ( ~ ap_parcontractE_c4(X0,X1,X2)
      | X2 = comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_parcontractE14) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ ap_parcontractE_c4(X0,X1,X2)
      | comb_app(ap_parcontractE_sk2q(X0,X1,X2),ap_parcontractE_sk2s(X0,X1,X2)) = X2 ),
    inference(reorient_equations,[],[f64]) ).

fof(f66,axiom,
    ! [X0,X1] :
      ( ~ member(pair(comb_app(combK,X0),X1),parcontract)
      | X1 = comb_app(combK,k1_parcontractD_sk1(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_parcontractD_1) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ member(pair(comb_app(combK,X0),X1),parcontract)
      | comb_app(combK,k1_parcontractD_sk1(X0,X1)) = X1 ),
    inference(reorient_equations,[],[f66]) ).

fof(f68,axiom,
    ! [X0,X1] :
      ( member(pair(X0,k1_parcontractD_sk1(X0,X1)),parcontract)
      | ~ member(pair(comb_app(combK,X0),X1),parcontract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',k1_parcontractD_2) ).

fof(f82,axiom,
    ! [X0,X1] :
      ( ~ member(pair(X0,X1),parcontract)
      | member(X1,comb) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',parcontract_combD2) ).

fof(f83,axiom,
    member(p,comb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2h1) ).

fof(f84,axiom,
    member(q,comb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2h2) ).

fof(f85,negated_conjecture,
    member(pair(comb_app(comb_app(combK,p),q),yp),parcontract),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2c1) ).

fof(f86,negated_conjecture,
    ! [X0] :
      ( ~ member(pair(yp,X0),parcontract)
      | ~ member(pair(p,X0),parcontract) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_parcontract_2c2) ).

fof(f109,plain,
    ( ~ member(yp,comb)
    | ~ member(pair(p,yp),parcontract) ),
    inference(resolution,[],[f37,f86]) ).

fof(f111,definition,
    ( spl0_1
  <=> member(pair(p,yp),parcontract) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f113,plain,
    ( ~ member(pair(p,yp),parcontract)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f115,definition,
    ( spl0_2
  <=> member(yp,comb) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f116,plain,
    ( member(yp,comb)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f118,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f109,f115,f111]) ).

fof(f121,plain,
    member(yp,comb),
    inference(resolution,[],[f82,f85]) ).

fof(f123,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f121,f115]) ).

fof(f163,plain,
    ! [X2,X0,X1] :
      ( ~ ap_parcontractE_c4(comb_app(combK,X0),X1,X2)
      | ap_parcontractE_sk2q(comb_app(combK,X0),X1,X2) = comb_app(combK,k1_parcontractD_sk1(X0,ap_parcontractE_sk2q(comb_app(combK,X0),X1,X2))) ),
    inference(resolution,[],[f67,f62]) ).

fof(f311,plain,
    ( ap_parcontractE_c1(comb_app(combK,p),q,yp)
    | ap_parcontractE_c2(comb_app(combK,p),q,yp)
    | ap_parcontractE_c3(comb_app(combK,p),q,yp)
    | ap_parcontractE_c4(comb_app(combK,p),q,yp) ),
    inference(resolution,[],[f47,f85]) ).

fof(f325,definition,
    ( spl0_7
  <=> ap_parcontractE_c4(comb_app(combK,p),q,yp) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f327,plain,
    ( ap_parcontractE_c4(comb_app(combK,p),q,yp)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f329,definition,
    ( spl0_8
  <=> ap_parcontractE_c3(comb_app(combK,p),q,yp) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f331,plain,
    ( ap_parcontractE_c3(comb_app(combK,p),q,yp)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f333,definition,
    ( spl0_9
  <=> ap_parcontractE_c2(comb_app(combK,p),q,yp) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f335,plain,
    ( ap_parcontractE_c2(comb_app(combK,p),q,yp)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f333]) ).

fof(f337,definition,
    ( spl0_10
  <=> ap_parcontractE_c1(comb_app(combK,p),q,yp) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f339,plain,
    ( ap_parcontractE_c1(comb_app(combK,p),q,yp)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f340,plain,
    ( spl0_7
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f311,f337,f333,f329,f325]) ).

fof(f666,plain,
    ( comb_app(combK,p) = comb_app(combK,yp)
    | ~ spl0_9 ),
    inference(resolution,[],[f335,f54]) ).

fof(f680,plain,
    ( ! [X0,X1] :
        ( comb_app(X0,X1) != comb_app(combK,p)
        | yp = X1 )
    | ~ spl0_9 ),
    inference(superposition,[],[f5,f666]) ).

fof(f774,plain,
    ( p = yp
    | ~ spl0_9 ),
    inference(equality_resolution,[],[f680]) ).

fof(f785,plain,
    ( ~ member(pair(p,p),parcontract)
    | spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f113,f774]) ).

fof(f859,plain,
    ( ~ member(p,comb)
    | spl0_1
    | ~ spl0_9 ),
    inference(resolution,[],[f785,f37]) ).

fof(f860,plain,
    ( $false
    | spl0_1
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f859,f83]) ).

fof(f861,plain,
    ( spl0_1
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f860]) ).

fof(f862,plain,
    ( comb_app(comb_app(combK,p),q) = yp
    | ~ spl0_10 ),
    inference(resolution,[],[f339,f50]) ).

fof(f864,plain,
    ( member(pair(yp,p),parcontract)
    | ~ member(q,comb)
    | ~ member(p,comb)
    | ~ spl0_10 ),
    inference(superposition,[],[f38,f862]) ).

fof(f896,plain,
    ( member(pair(yp,p),parcontract)
    | ~ member(p,comb)
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f864,f84]) ).

fof(f904,plain,
    ( member(pair(yp,p),parcontract)
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f896,f83]) ).

fof(f933,plain,
    ( ~ member(pair(p,p),parcontract)
    | ~ spl0_10 ),
    inference(resolution,[],[f904,f86]) ).

fof(f945,plain,
    ( ~ member(p,comb)
    | ~ spl0_10 ),
    inference(resolution,[],[f933,f37]) ).

fof(f946,plain,
    ( $false
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f945,f83]) ).

fof(f947,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f946]) ).

fof(f949,plain,
    ( comb_app(combK,p) = comb_app(comb_app(combS,ap_parcontractE_sk1p(comb_app(combK,p),q,yp)),ap_parcontractE_sk1q(comb_app(combK,p),q,yp))
    | ~ spl0_8 ),
    inference(resolution,[],[f331,f61]) ).

fof(f1697,plain,
    ( ! [X0,X1] :
        ( comb_app(X0,X1) != comb_app(combK,p)
        | comb_app(combS,ap_parcontractE_sk1p(comb_app(combK,p),q,yp)) = X0 )
    | ~ spl0_8 ),
    inference(superposition,[],[f4,f949]) ).

fof(f2738,plain,
    ( combK = comb_app(combS,ap_parcontractE_sk1p(comb_app(combK,p),q,yp))
    | ~ spl0_8 ),
    inference(equality_resolution,[],[f1697]) ).

fof(f2740,plain,
    ( $false
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f2738,f2]) ).

fof(f2741,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f2740]) ).

fof(f2749,plain,
    ( ap_parcontractE_sk2q(comb_app(combK,p),q,yp) = comb_app(combK,k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp)))
    | ~ spl0_7 ),
    inference(resolution,[],[f327,f163]) ).

fof(f2750,plain,
    ( yp = comb_app(ap_parcontractE_sk2q(comb_app(combK,p),q,yp),ap_parcontractE_sk2s(comb_app(combK,p),q,yp))
    | ~ spl0_7 ),
    inference(resolution,[],[f327,f65]) ).

fof(f2757,plain,
    ( ~ member(yp,comb)
    | member(ap_parcontractE_sk2q(comb_app(combK,p),q,yp),comb)
    | ~ spl0_7 ),
    inference(superposition,[],[f7,f2750]) ).

fof(f2758,plain,
    ( ~ member(yp,comb)
    | member(ap_parcontractE_sk2s(comb_app(combK,p),q,yp),comb)
    | ~ spl0_7 ),
    inference(superposition,[],[f8,f2750]) ).

fof(f2797,plain,
    ( member(ap_parcontractE_sk2s(comb_app(combK,p),q,yp),comb)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f2758,f116]) ).

fof(f2798,plain,
    ( member(ap_parcontractE_sk2q(comb_app(combK,p),q,yp),comb)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f2757,f116]) ).

fof(f2800,plain,
    ( ! [X0] :
        ( member(pair(comb_app(ap_parcontractE_sk2q(comb_app(combK,p),q,yp),X0),k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp))),parcontract)
        | ~ member(X0,comb)
        | ~ member(k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp)),comb) )
    | ~ spl0_7 ),
    inference(superposition,[],[f38,f2749]) ).

fof(f2819,plain,
    ( ~ member(ap_parcontractE_sk2q(comb_app(combK,p),q,yp),comb)
    | member(k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp)),comb)
    | ~ spl0_7 ),
    inference(superposition,[],[f8,f2749]) ).

fof(f4907,plain,
    ( member(k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp)),comb)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f2819,f2798]) ).

fof(f29532,definition,
    ( spl0_113
  <=> member(pair(yp,k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp))),parcontract) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f29533,plain,
    ( member(pair(yp,k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp))),parcontract)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f29532]) ).

fof(f29534,plain,
    ( ~ member(pair(yp,k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp))),parcontract)
    | spl0_113 ),
    inference(avatar_component_clause,[],[f29532]) ).

fof(f30390,plain,
    ( ! [X0] :
        ( member(pair(comb_app(ap_parcontractE_sk2q(comb_app(combK,p),q,yp),X0),k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp))),parcontract)
        | ~ member(X0,comb) )
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f2800,f4907]) ).

fof(f31285,plain,
    ( member(pair(yp,k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp))),parcontract)
    | ~ member(ap_parcontractE_sk2s(comb_app(combK,p),q,yp),comb)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f30390,f2750]) ).

fof(f31286,plain,
    ( ~ member(ap_parcontractE_sk2s(comb_app(combK,p),q,yp),comb)
    | ~ spl0_2
    | ~ spl0_7
    | spl0_113 ),
    inference(forward_subsumption_resolution,[],[f31285,f29534]) ).

fof(f31289,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | spl0_113 ),
    inference(forward_subsumption_resolution,[],[f31286,f2797]) ).

fof(f31290,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_113 ),
    inference(avatar_contradiction_clause,[],[f31289]) ).

fof(f31294,plain,
    ( ~ member(pair(p,k1_parcontractD_sk1(p,ap_parcontractE_sk2q(comb_app(combK,p),q,yp))),parcontract)
    | ~ spl0_113 ),
    inference(resolution,[],[f29533,f86]) ).

fof(f32688,plain,
    ( ~ member(pair(comb_app(combK,p),ap_parcontractE_sk2q(comb_app(combK,p),q,yp)),parcontract)
    | ~ spl0_113 ),
    inference(resolution,[],[f31294,f68]) ).

fof(f32690,plain,
    ( ~ ap_parcontractE_c4(comb_app(combK,p),q,yp)
    | ~ spl0_113 ),
    inference(resolution,[],[f32688,f62]) ).

fof(f32691,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_113 ),
    inference(forward_subsumption_resolution,[],[f32690,f327]) ).

fof(f32692,plain,
    ( ~ spl0_7
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f32691]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f118]) ).

cnf(s2,plain,
    spl0_2,
    inference(sat_conversion,[],[f123]) ).

cnf(s7,plain,
    ( spl0_7
    | spl0_8
    | spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f340]) ).

cnf(s10,plain,
    ( spl0_1
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f861]) ).

cnf(s11,plain,
    ~ spl0_10,
    inference(sat_conversion,[],[f947]) ).

cnf(s21,plain,
    ~ spl0_8,
    inference(sat_conversion,[],[f2741]) ).

cnf(s107,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | spl0_113 ),
    inference(sat_conversion,[],[f31290]) ).

cnf(s111,plain,
    ( ~ spl0_7
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f32692]) ).

cnf(s136,plain,
    ( spl0_7
    | spl0_9 ),
    inference(rat,[],[s7,s11,s21]) ).

cnf(s151,plain,
    ~ spl0_1,
    inference(rat,[],[s1,s2]) ).

cnf(s152,plain,
    ~ spl0_9,
    inference(rat,[],[s10,s151]) ).

cnf(s153,plain,
    spl0_7,
    inference(rat,[],[s136,s152]) ).

cnf(s154,plain,
    ~ spl0_113,
    inference(rat,[],[s111,s153]) ).

cnf(s155,plain,
    $false,
    inference(rat,[],[s107,s2,s154,s153]) ).

fof(f32693,plain,
    $false,
    inference(avatar_sat_refutation,[],[s155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : COL095-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Mon Sep 28 21:35:34 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12  Running first-order model finding
% 0.08/0.12  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.86/1.41  % (3808556)Will run a generic schedule for satisfiability detection.
% 8.86/1.41  % (3808562)% WARNING: option uhcvi not known.
% 8.86/1.41  % (3808562)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1616848863:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.86/1.41  % (3808563)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3512129193:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.86/1.41  % (3808561)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=345299940_2999 on theBenchmark for (2999ds/0Mi)
% 8.86/1.41  % (3808564)dis+10_1_sil=32000:sp=arity:random_seed=737731041:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.86/1.41  % (3808565)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2505417678:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.86/1.41  % (3808566)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=22329046:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.86/1.41  % (3808567)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2250326274:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.86/1.41  % TRYING [1]
% 8.86/1.41  % TRYING [2]
% 8.86/1.41  % TRYING [3]
% 8.86/1.41  % TRYING [4]
% 8.86/1.41  % (3808564)Instruction limit reached! 
% 8.86/1.41  % (3808564)------------------------------
% 8.86/1.41  % (3808564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.41  % (3808564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.41  % (3808564)CaDiCaL version: 2.1.3
% 8.86/1.41  % (3808564)Termination reason: Instruction limit
% 8.86/1.41  % (3808564)Termination phase: Saturation
% 8.86/1.41  % (3808564)Time elapsed: 0.034 s
% 8.86/1.41  % (3808564)Peak memory usage: 12 MB
% 8.86/1.41  % (3808564)Instructions burned: 104 (million)
% 8.86/1.41  % (3808565)Instruction limit reached! 
% 8.86/1.41  % (3808565)------------------------------
% 8.86/1.41  % (3808565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.41  % (3808565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.41  % (3808565)CaDiCaL version: 2.1.3
% 8.86/1.41  % (3808565)Termination reason: Instruction limit
% 8.86/1.41  % (3808565)Termination phase: Saturation
% 8.86/1.41  % (3808565)Time elapsed: 0.037 s
% 8.86/1.41  % (3808565)Peak memory usage: 13 MB
% 8.86/1.41  % (3808565)Instructions burned: 117 (million)
% 8.86/1.41  % (3808566)Instruction limit reached! 
% 8.86/1.41  % (3808566)------------------------------
% 8.86/1.41  % (3808566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.41  % (3808566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.41  % (3808566)CaDiCaL version: 2.1.3
% 8.86/1.41  % (3808566)Termination reason: Instruction limit
% 8.86/1.41  % (3808566)Termination phase: Saturation
% 8.86/1.41  % (3808566)Time elapsed: 0.037 s
% 8.86/1.41  % (3808566)Peak memory usage: 13 MB
% 8.86/1.41  % (3808566)Instructions burned: 133 (million)
% 8.86/1.41  % TRYING [5]
% 8.86/1.41  % (3808575)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=513025753:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.86/1.41  % (3808576)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3511340557:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.86/1.41  % (3808577)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2181928573:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 8.86/1.41  % TRYING [1]
% 8.86/1.41  % TRYING [2]
% 8.86/1.41  % TRYING [3]
% 8.86/1.41  % (3808567)Instruction limit reached! 
% 8.86/1.41  % (3808567)------------------------------
% 8.86/1.41  % (3808567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.41  % (3808567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.41  % (3808567)CaDiCaL version: 2.1.3
% 8.86/1.41  % (3808567)Termination reason: Instruction limit
% 8.86/1.41  % (3808567)Termination phase: Saturation
% 8.86/1.41  % (3808567)Time elapsed: 0.055 s
% 8.86/1.41  % (3808567)Peak memory usage: 15 MB
% 8.86/1.41  % (3808567)Instructions burned: 160 (million)
% 8.86/1.41  % TRYING [4]
% 8.86/1.41  % (3808581)ott-21_1_sil=16000:fs=off:random_seed=3230001128:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 8.86/1.41  % (3808576)Instruction limit reached! 
% 8.86/1.41  % (3808576)------------------------------
% 8.86/1.41  % (3808576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808576)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808576)Termination reason: Instruction limit
% 8.86/1.45  % (3808576)Termination phase: Saturation
% 8.86/1.45  % (3808576)Time elapsed: 0.038 s
% 8.86/1.45  % (3808576)Peak memory usage: 13 MB
% 8.86/1.45  % (3808576)Instructions burned: 132 (million)
% 8.86/1.45  % TRYING [5]
% 8.86/1.45  % (3808583)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3306351556:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.86/1.45  % TRYING [6]
% 8.86/1.45  % (3808581)Instruction limit reached! 
% 8.86/1.45  % (3808581)------------------------------
% 8.86/1.45  % (3808581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808581)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808581)Termination reason: Instruction limit
% 8.86/1.45  % (3808581)Termination phase: Saturation
% 8.86/1.45  % (3808581)Time elapsed: 0.053 s
% 8.86/1.45  % (3808581)Peak memory usage: 12 MB
% 8.86/1.45  % (3808581)Instructions burned: 184 (million)
% 8.86/1.45  % (3808585)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=498143119:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.86/1.45  % TRYING [1]
% 8.86/1.45  % TRYING [2]
% 8.86/1.45  % TRYING [3]
% 8.86/1.45  % TRYING [6]
% 8.86/1.45  % TRYING [4]
% 8.86/1.45  % (3808575)Instruction limit reached! 
% 8.86/1.45  % (3808575)------------------------------
% 8.86/1.45  % (3808575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808575)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808575)Termination reason: Instruction limit
% 8.86/1.45  % (3808575)Termination phase: Finite model building constraint generation
% 8.86/1.45  % (3808575)Time elapsed: 0.141 s
% 8.86/1.45  % (3808575)Peak memory usage: 31 MB
% 8.86/1.45  % (3808575)Instructions burned: 715 (million)
% 8.86/1.45  % (3808587)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1785234533:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.86/1.45  % TRYING [5]
% 8.86/1.45  % (3808577)Instruction limit reached! 
% 8.86/1.45  % (3808577)------------------------------
% 8.86/1.45  % (3808577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808577)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808577)Termination reason: Instruction limit
% 8.86/1.45  % (3808577)Termination phase: Saturation
% 8.86/1.45  % (3808577)Time elapsed: 0.192 s
% 8.86/1.45  % (3808577)Peak memory usage: 19 MB
% 8.86/1.45  % (3808577)Instructions burned: 687 (million)
% 8.86/1.45  % (3808589)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3311855051:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 8.86/1.45  % TRYING [7]
% 8.86/1.45  % (3808583)Instruction limit reached! 
% 8.86/1.45  % (3808583)------------------------------
% 8.86/1.45  % (3808583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808583)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808583)Termination reason: Instruction limit
% 8.86/1.45  % (3808583)Termination phase: Saturation
% 8.86/1.45  % (3808583)Time elapsed: 0.173 s
% 8.86/1.45  % (3808583)Peak memory usage: 14 MB
% 8.86/1.45  % (3808583)Instructions burned: 480 (million)
% 8.86/1.45  % (3808591)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=882145512:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 8.86/1.45  % (3808585)Instruction limit reached! 
% 8.86/1.45  % (3808585)------------------------------
% 8.86/1.45  % (3808585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808585)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808585)Termination reason: Instruction limit
% 8.86/1.45  % (3808585)Termination phase: Finite model building SAT solving
% 8.86/1.45  % (3808585)Time elapsed: 0.193 s
% 8.86/1.45  % (3808585)Peak memory usage: 27 MB
% 8.86/1.45  % (3808585)Instructions burned: 867 (million)
% 8.86/1.45  % (3808593)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=879285886:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 8.86/1.45  % TRYING [14]
% 8.86/1.45  % (3808589)Instruction limit reached! 
% 8.86/1.45  % (3808589)------------------------------
% 8.86/1.45  % (3808589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808589)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808589)Termination reason: Instruction limit
% 8.86/1.45  % (3808589)Termination phase: Finite model building constraint generation
% 8.86/1.45  % (3808589)Time elapsed: 0.238 s
% 8.86/1.45  % (3808589)Peak memory usage: 100 MB
% 8.86/1.45  % (3808589)Instructions burned: 893 (million)
% 8.86/1.45  % (3808591)Instruction limit reached! 
% 8.86/1.45  % (3808591)------------------------------
% 8.86/1.45  % (3808591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808591)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808591)Termination reason: Instruction limit
% 8.86/1.45  % (3808591)Termination phase: Saturation
% 8.86/1.45  % (3808591)Time elapsed: 0.219 s
% 8.86/1.45  % (3808591)Peak memory usage: 21 MB
% 8.86/1.45  % (3808591)Instructions burned: 693 (million)
% 8.86/1.45  % (3808595)fmb+10_1_sil=64000:random_seed=2241221881:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.86/1.45  % TRYING [1]
% 8.86/1.45  % TRYING [2]
% 8.86/1.45  % TRYING [3]
% 8.86/1.45  % (3808596)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4082557421:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 8.86/1.45  % TRYING [20]
% 8.86/1.45  % TRYING [4]
% 8.86/1.45  % (3808587)Instruction limit reached! 
% 8.86/1.45  % (3808587)------------------------------
% 8.86/1.45  % (3808587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808587)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808587)Termination reason: Instruction limit
% 8.86/1.45  % (3808587)Termination phase: Saturation
% 8.86/1.45  % (3808587)Time elapsed: 0.379 s
% 8.86/1.45  % (3808587)Peak memory usage: 34 MB
% 8.86/1.45  % (3808587)Instructions burned: 1180 (million)
% 8.86/1.45  % (3808599)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2112735138:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 8.86/1.45  % TRYING [8]
% 8.86/1.45  % (3808593)Instruction limit reached! 
% 8.86/1.45  % (3808593)------------------------------
% 8.86/1.45  % (3808593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808593)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808593)Termination reason: Instruction limit
% 8.86/1.45  % (3808593)Termination phase: Saturation
% 8.86/1.45  % (3808593)Time elapsed: 0.268 s
% 8.86/1.45  % (3808593)Peak memory usage: 20 MB
% 8.86/1.45  % (3808593)Instructions burned: 881 (million)
% 8.86/1.45  % TRYING [5]
% 8.86/1.45  % TRYING [8]
% 8.86/1.45  % (3808601)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3554805859:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 8.86/1.45  % TRYING [6]
% 8.86/1.45  % (3808599)Instruction limit reached! 
% 8.86/1.45  % (3808599)------------------------------
% 8.86/1.45  % (3808599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808599)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808599)Termination reason: Instruction limit
% 8.86/1.45  % (3808599)Termination phase: Finite model building constraint generation
% 8.86/1.45  % (3808599)Time elapsed: 0.206 s
% 8.86/1.45  % (3808599)Peak memory usage: 91 MB
% 8.86/1.45  % (3808599)Instructions burned: 922 (million)
% 8.86/1.45  % (3808603)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=239767278:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 8.86/1.45  % (3808603)Instruction limit reached! 
% 8.86/1.45  % (3808603)------------------------------
% 8.86/1.45  % (3808603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808603)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808603)Termination reason: Instruction limit
% 8.86/1.45  % (3808603)Termination phase: Saturation
% 8.86/1.45  % (3808603)Time elapsed: 0.416 s
% 8.86/1.45  % (3808603)Peak memory usage: 26 MB
% 8.86/1.45  % (3808603)Instructions burned: 1472 (million)
% 8.86/1.45  % TRYING [7]
% 8.86/1.45  % (3808605)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1744364751:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 8.86/1.45  % TRYING [77]
% 8.86/1.45  % (3808601) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3808556-3808601"...
% 8.86/1.45  % (3808601)...printing done.
% 8.86/1.45  % (3808601)Refutation found. Thanks to Tanya!
% 8.86/1.45  % SZS status Unsatisfiable for theBenchmark
% 8.86/1.45  % SZS output start Proof for theBenchmark
% See solution above
% 8.86/1.45  % (3808601)------------------------------
% 8.86/1.45  % (3808601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.86/1.45  % (3808601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.86/1.45  % (3808601)CaDiCaL version: 2.1.3
% 8.86/1.45  % (3808601)Termination reason: Refutation
% 8.86/1.45  % (3808601)Time elapsed: 0.649 s
% 8.86/1.45  % (3808601)Peak memory usage: 32 MB
% 8.86/1.45  % (3808601)Instructions burned: 2222 (million)
% 8.86/1.45  % (3808556)Success in time 1.323 s
% 8.86/1.45  % Vampire exiting
%------------------------------------------------------------------------------