↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV877-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 01:19:42 PM UTC 2026

% Result   : Unsatisfiable 4.81s 1.45s
% Output   : Refutation 6.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   73 (  39 unt;  10 def)
%            Number of atoms       :  131 (  28 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  116 (  58   ~;  57   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   2 prp; 0-3 aty)
%            Number of functors    :   26 (  26 usr;  18 con; 0-4 aty)
%            Number of variables   :   57 (   0 sgn  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f689,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( c_in(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4)
      | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageI_0) ).

fof(f823,axiom,
    ! [X0] : c_lessequals(X0,X0,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__imp__le_0) ).

fof(f844,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
      | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
      | ~ c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).

fof(f884,axiom,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X0,X2),tc_nat)
      | X0 = X1
      | ~ c_lessequals(X0,X1,tc_fun(X2,tc_bool))
      | ~ c_Finite__Set_Ofinite(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_card__seteq_0) ).

fof(f897,axiom,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
      | c_in(v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
      | ~ v_wt(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_0) ).

fof(f898,axiom,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
      | hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)))
      | ~ v_wt(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I3_J_1) ).

fof(f929,axiom,
    ! [X2,X3,X0,X1] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,X2,X3),X3)
      | ~ c_Finite__Set_Ofinite(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).

fof(f947,axiom,
    ! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).

fof(f960,axiom,
    ! [X0,X1] :
      ( ~ c_lessequals(X1,X0,tc_fun(t_a,tc_bool))
      | hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_assms_I1_J_0) ).

fof(f964,negated_conjecture,
    c_Finite__Set_Ofinite(v_U,tc_Com_Opname),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f965,negated_conjecture,
    c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f966,negated_conjecture,
    c_Finite__Set_Ocard(v_G,t_a) = c_Finite__Set_Ocard(c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f967,negated_conjecture,
    v_wt(v_c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f968,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(v_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1007,definition,
    sF0 = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f1008,plain,
    c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) = sF0,
    inference(reorient_equations,[],[f1007]) ).

fof(f1009,definition,
    sF1 = tc_fun(t_a,tc_bool),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f1010,plain,
    tc_fun(t_a,tc_bool) = sF1,
    inference(reorient_equations,[],[f1009]) ).

fof(f1011,plain,
    c_lessequals(v_G,sF0,sF1),
    inference(definition_folding,[],[f965,f1010,f1008]) ).

fof(f1012,definition,
    sF2 = c_Finite__Set_Ocard(v_G,t_a),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f1013,plain,
    c_Finite__Set_Ocard(v_G,t_a) = sF2,
    inference(reorient_equations,[],[f1012]) ).

fof(f1014,definition,
    sF3 = c_Finite__Set_Ocard(sF0,t_a),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f1015,plain,
    c_Finite__Set_Ocard(sF0,t_a) = sF3,
    inference(reorient_equations,[],[f1014]) ).

fof(f1016,plain,
    sF2 = sF3,
    inference(definition_folding,[],[f966,f1015,f1008,f1013]) ).

fof(f1017,definition,
    sF4 = hAPP(v_P,v_G),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f1018,plain,
    hAPP(v_P,v_G) = sF4,
    inference(reorient_equations,[],[f1017]) ).

fof(f1019,definition,
    sF5 = v_mgt(v_c),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f1020,plain,
    v_mgt(v_c) = sF5,
    inference(reorient_equations,[],[f1019]) ).

fof(f1021,definition,
    sF6 = c_Orderings_Obot__class_Obot(sF1),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f1022,plain,
    c_Orderings_Obot__class_Obot(sF1) = sF6,
    inference(reorient_equations,[],[f1021]) ).

fof(f1023,definition,
    sF7 = c_Set_Oinsert(sF5,sF6,t_a),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f1024,plain,
    c_Set_Oinsert(sF5,sF6,t_a) = sF7,
    inference(reorient_equations,[],[f1023]) ).

fof(f1025,definition,
    sF8 = hAPP(sF4,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f1026,plain,
    hAPP(sF4,sF7) = sF8,
    inference(reorient_equations,[],[f1025]) ).

fof(f1027,plain,
    ~ hBOOL(sF8),
    inference(definition_folding,[],[f968,f1026,f1024,f1022,f1010,f1020,f1018]) ).

fof(f1044,plain,
    sF2 = c_Finite__Set_Ocard(sF0,t_a),
    inference(forward_demodulation,[],[f1015,f1016]) ).

fof(f1050,plain,
    ! [X0] : c_lessequals(c_Orderings_Obot__class_Obot(sF1),X0,sF1),
    inference(superposition,[],[f947,f1010]) ).

fof(f1051,plain,
    ! [X0] : c_lessequals(sF6,X0,sF1),
    inference(forward_demodulation,[],[f1050,f1022]) ).

fof(f1053,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(sF1),t_a)))
      | hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(sF1),t_a)))
      | ~ v_wt(X1) ),
    inference(superposition,[],[f898,f1010]) ).

fof(f1054,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call)),sF6,t_a)))
      | hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(sF1),t_a)))
      | ~ v_wt(X1) ),
    inference(forward_demodulation,[],[f1053,f1022]) ).

fof(f1056,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call)),sF6,t_a)))
      | hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),sF6,t_a)))
      | ~ v_wt(X1) ),
    inference(forward_demodulation,[],[f1054,f1022]) ).

fof(f1065,definition,
    ( spl9_2
  <=> ! [X0] :
        ( hBOOL(hAPP(sF4,c_Set_Oinsert(v_mgt(X0),sF6,t_a)))
        | ~ v_wt(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).

fof(f1066,plain,
    ( ! [X0] :
        ( hBOOL(hAPP(sF4,c_Set_Oinsert(v_mgt(X0),sF6,t_a)))
        | ~ v_wt(X0) )
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f1065]) ).

fof(f1075,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),c_Orderings_Obot__class_Obot(sF1),t_a)))
      | c_in(v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
      | ~ v_wt(X1) ),
    inference(superposition,[],[f897,f1010]) ).

fof(f1076,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),sF6,t_a)))
      | c_in(v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
      | ~ v_wt(X1) ),
    inference(forward_demodulation,[],[f1075,f1022]) ).

fof(f1088,plain,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,X1,tc_fun(t_a,tc_bool))
      | ~ c_in(X2,X1,t_a)
      | hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(X2,X0,t_a))) ),
    inference(resolution,[],[f844,f960]) ).

fof(f1092,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(hAPP(v_P,X1),c_Set_Oinsert(X2,X0,t_a)))
      | ~ c_in(X2,X1,t_a)
      | ~ c_lessequals(X0,X1,sF1) ),
    inference(forward_demodulation,[],[f1088,f1010]) ).

fof(f1096,plain,
    ! [X0,X1] :
      ( ~ c_in(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call)),X0,t_a)
      | ~ c_lessequals(sF6,X0,sF1)
      | hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),sF6,t_a)))
      | ~ v_wt(X1) ),
    inference(resolution,[],[f1092,f1056]) ).

fof(f1100,plain,
    ! [X0,X1] :
      ( ~ c_in(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(X0,v_P,v_U,v_mgt__call)),X0,t_a)
      | hBOOL(hAPP(hAPP(v_P,X0),c_Set_Oinsert(v_mgt(X1),sF6,t_a)))
      | ~ v_wt(X1) ),
    inference(forward_subsumption_resolution,[],[f1096,f1051]) ).

fof(f1111,plain,
    ( c_Finite__Set_Ofinite(sF0,t_a)
    | ~ c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ),
    inference(superposition,[],[f929,f1008]) ).

fof(f1112,plain,
    c_Finite__Set_Ofinite(sF0,t_a),
    inference(forward_subsumption_resolution,[],[f1111,f964]) ).

fof(f1124,plain,
    ! [X0] :
      ( ~ c_lessequals(sF2,c_Finite__Set_Ocard(X0,t_a),tc_nat)
      | sF0 = X0
      | ~ c_lessequals(X0,sF0,tc_fun(t_a,tc_bool))
      | ~ c_Finite__Set_Ofinite(sF0,t_a) ),
    inference(superposition,[],[f884,f1044]) ).

fof(f1131,plain,
    ! [X0] :
      ( ~ c_lessequals(sF2,c_Finite__Set_Ocard(X0,t_a),tc_nat)
      | sF0 = X0
      | ~ c_lessequals(X0,sF0,tc_fun(t_a,tc_bool)) ),
    inference(forward_subsumption_resolution,[],[f1124,f1112]) ).

fof(f1140,plain,
    ! [X0] :
      ( ~ c_lessequals(sF2,c_Finite__Set_Ocard(X0,t_a),tc_nat)
      | ~ c_lessequals(X0,sF0,sF1)
      | sF0 = X0 ),
    inference(forward_demodulation,[],[f1131,f1010]) ).

fof(f1141,plain,
    ( ~ c_lessequals(sF2,sF2,tc_nat)
    | ~ c_lessequals(v_G,sF0,sF1)
    | v_G = sF0 ),
    inference(superposition,[],[f1140,f1013]) ).

fof(f1142,plain,
    ( ~ c_lessequals(v_G,sF0,sF1)
    | v_G = sF0 ),
    inference(forward_subsumption_resolution,[],[f1141,f823]) ).

fof(f1143,plain,
    v_G = sF0,
    inference(forward_subsumption_resolution,[],[f1142,f1011]) ).

fof(f1228,plain,
    ( hBOOL(hAPP(sF4,c_Set_Oinsert(sF5,sF6,t_a)))
    | ~ v_wt(v_c)
    | ~ spl9_2 ),
    inference(superposition,[],[f1066,f1020]) ).

fof(f1229,plain,
    ( hBOOL(hAPP(sF4,c_Set_Oinsert(sF5,sF6,t_a)))
    | ~ spl9_2 ),
    inference(forward_subsumption_resolution,[],[f1228,f967]) ).

fof(f1230,plain,
    ( hBOOL(hAPP(sF4,sF7))
    | ~ spl9_2 ),
    inference(forward_demodulation,[],[f1229,f1024]) ).

fof(f1231,plain,
    ( hBOOL(sF8)
    | ~ spl9_2 ),
    inference(forward_demodulation,[],[f1230,f1026]) ).

fof(f1232,plain,
    ( $false
    | ~ spl9_2 ),
    inference(forward_subsumption_resolution,[],[f1231,f1027]) ).

fof(f1233,plain,
    ~ spl9_2,
    inference(avatar_contradiction_clause,[],[f1232]) ).

fof(f1426,plain,
    ! [X0] :
      ( c_in(hAPP(v_mgt__call,X0),sF0,t_a)
      | ~ c_in(X0,v_U,tc_Com_Opname) ),
    inference(superposition,[],[f689,f1008]) ).

fof(f1427,plain,
    ! [X0] :
      ( c_in(hAPP(v_mgt__call,X0),v_G,t_a)
      | ~ c_in(X0,v_U,tc_Com_Opname) ),
    inference(forward_demodulation,[],[f1426,f1143]) ).

fof(f1429,plain,
    ! [X0] :
      ( ~ c_in(v_sko__local__Xassms__3__1(v_G,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)
      | hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(X0),sF6,t_a)))
      | ~ v_wt(X0) ),
    inference(resolution,[],[f1427,f1100]) ).

fof(f1430,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(v_P,v_G),c_Set_Oinsert(v_mgt(X0),sF6,t_a)))
      | ~ v_wt(X0) ),
    inference(forward_subsumption_resolution,[],[f1429,f1076]) ).

fof(f1433,plain,
    ! [X0] :
      ( hBOOL(hAPP(sF4,c_Set_Oinsert(v_mgt(X0),sF6,t_a)))
      | ~ v_wt(X0) ),
    inference(forward_demodulation,[],[f1430,f1018]) ).

fof(f1434,plain,
    spl9_2,
    inference(avatar_split_clause,[],[f1433,f1065]) ).

cnf(s10,plain,
    ~ spl9_2,
    inference(sat_conversion,[],[f1233]) ).

cnf(s21,plain,
    spl9_2,
    inference(sat_conversion,[],[f1434]) ).

cnf(s24,plain,
    $false,
    inference(rat,[],[s10,s21]) ).

fof(f1435,plain,
    $false,
    inference(avatar_sat_refutation,[],[s24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV877-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n009.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 12:47:15 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21  Running first-order theorem proving
% 0.09/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.81/1.45  % (3005838)Input is clausal, will run a generic CNF schedule.
% 4.81/1.45  % (3005843)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=1037806916:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.81/1.45  % (3005847)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=991374515:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.81/1.45  % (3005846)lrs+10_1_sil=8000:sp=occurrence:random_seed=1305057118:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.81/1.45  % (3005844)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=60087411:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.81/1.45  % (3005845)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1323913827:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.81/1.45  % (3005848)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2935278765:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.81/1.45  % (3005849)dis-21_1_sil=8000:lcm=predicate:random_seed=3311870598: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)
% 4.81/1.45  % (3005849)Instruction limit reached! 
% 4.81/1.45  % (3005849)------------------------------
% 4.81/1.45  % (3005849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.45  % (3005849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.45  % (3005849)CaDiCaL version: 2.1.3
% 4.81/1.45  % (3005849)Termination reason: Instruction limit
% 4.81/1.45  % (3005849)Termination phase: Saturation
% 4.81/1.45  % (3005849)Time elapsed: 0.070 s
% 4.81/1.45  % (3005849)Peak memory usage: 89 MB
% 4.81/1.45  % (3005849)Instructions burned: 117 (million)
% 4.81/1.45  % (3005846)Instruction limit reached! 
% 4.81/1.45  % (3005846)------------------------------
% 4.81/1.45  % (3005846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.45  % (3005846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.45  % (3005846)CaDiCaL version: 2.1.3
% 4.81/1.45  % (3005846)Termination reason: Instruction limit
% 4.81/1.45  % (3005846)Termination phase: Saturation
% 4.81/1.45  % (3005846)Time elapsed: 0.072 s
% 4.81/1.45  % (3005846)Peak memory usage: 89 MB
% 4.81/1.45  % (3005846)Instructions burned: 107 (million)
% 4.81/1.45  % (3005847)Instruction limit reached! 
% 4.81/1.45  % (3005847)------------------------------
% 4.81/1.45  % (3005847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.45  % (3005847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.45  % (3005847)CaDiCaL version: 2.1.3
% 4.81/1.45  % (3005847)Termination reason: Instruction limit
% 4.81/1.45  % (3005847)Termination phase: Saturation
% 4.81/1.45  % (3005847)Time elapsed: 0.076 s
% 4.81/1.45  % (3005847)Peak memory usage: 89 MB
% 4.81/1.45  % (3005847)Instructions burned: 114 (million)
% 4.81/1.45  % (3005848)Instruction limit reached! 
% 4.81/1.45  % (3005848)------------------------------
% 4.81/1.45  % (3005848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.45  % (3005848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.45  % (3005848)CaDiCaL version: 2.1.3
% 4.81/1.45  % (3005848)Termination reason: Instruction limit
% 4.81/1.45  % (3005848)Termination phase: Saturation
% 4.81/1.45  % (3005848)Time elapsed: 0.123 s
% 4.81/1.45  % (3005848)Peak memory usage: 90 MB
% 4.81/1.45  % (3005848)Instructions burned: 181 (million)
% 4.81/1.45  % (3005857)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=165437650:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.81/1.45  % (3005858)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=624620965:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.81/1.45  % (3005859)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4008070482:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.81/1.45  % (3005860)lrs+10_64_to=lpo:sil=8000:random_seed=1827574099:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.81/1.45  % (3005857)Instruction limit reached! 
% 4.81/1.45  % (3005857)------------------------------
% 4.81/1.45  % (3005857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.45  % (3005857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.45  % (3005857)CaDiCaL version: 2.1.3
% 4.81/1.45  % (3005857)Termination reason: Instruction limit
% 4.81/1.45  % (3005857)Termination phase: Saturation
% 4.81/1.45  % (3005857)Time elapsed: 0.090 s
% 4.81/1.45  % (3005857)Peak memory usage: 89 MB
% 4.81/1.45  % (3005857)Instructions burned: 143 (million)
% 4.81/1.45  % (3005858)Instruction limit reached! 
% 4.81/1.45  % (3005858)------------------------------
% 4.81/1.45  % (3005858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.45  % (3005858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.45  % (3005858)CaDiCaL version: 2.1.3
% 4.81/1.45  % (3005858)Termination reason: Instruction limit
% 4.81/1.45  % (3005858)Termination phase: Saturation
% 4.81/1.45  % (3005858)Time elapsed: 0.104 s
% 4.81/1.45  % (3005858)Peak memory usage: 90 MB
% 4.81/1.45  % (3005858)Instructions burned: 190 (million)
% 4.81/1.45  % (3005860)Instruction limit reached! 
% 4.81/1.45  % (3005860)------------------------------
% 4.81/1.45  % (3005860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.45  % (3005860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.45  % (3005860)CaDiCaL version: 2.1.3
% 4.81/1.45  % (3005860)Termination reason: Instruction limit
% 4.81/1.45  % (3005860)Termination phase: Saturation
% 4.81/1.45  % (3005860)Time elapsed: 0.080 s
% 4.81/1.45  % (3005860)Peak memory usage: 89 MB
% 4.81/1.45  % (3005860)Instructions burned: 127 (million)
% 4.81/1.45  % (3005859)Instruction limit reached! 
% 4.81/1.45  % (3005859)------------------------------
% 4.81/1.45  % (3005859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.45  % (3005859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.45  % (3005859)CaDiCaL version: 2.1.3
% 4.81/1.45  % (3005859)Termination reason: Instruction limit
% 4.81/1.45  % (3005859)Termination phase: Saturation
% 4.81/1.45  % (3005859)Time elapsed: 0.135 s
% 4.81/1.45  % (3005859)Peak memory usage: 90 MB
% 4.81/1.45  % (3005859)Instructions burned: 219 (million)
% 4.81/1.45  % (3005843)First to succeed.
% 4.81/1.45  % (3005843)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3005838"
% 4.81/1.45  % (3005865)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3216330296:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 4.81/1.45  % (3005866)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1854181318:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 4.81/1.45  % (3005867)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=714702910:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 4.81/1.45  % (3005868)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4149012700:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 4.81/1.45  % (3005866)Instruction limit reached! 
% 4.81/1.45  % (3005866)------------------------------
% 4.81/1.45  % (3005866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.81/1.45  % (3005866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.81/1.45  % (3005866)CaDiCaL version: 2.1.3
% 4.81/1.45  % (3005866)Termination reason: Instruction limit
% 4.81/1.45  % (3005866)Termination phase: Saturation
% 4.81/1.45  % (3005866)Time elapsed: 0.100 s
% 4.81/1.45  % (3005866)Peak memory usage: 90 MB
% 4.81/1.45  % (3005866)Instructions burned: 157 (million)
% 4.81/1.45  % (3005843)Refutation found. Thanks to Tanya!
% 4.81/1.45  % SZS status Unsatisfiable for theBenchmark
% 4.81/1.45  % SZS output start Proof for theBenchmark
% See solution above
% 6.07/1.65  % (3005843)------------------------------
% 6.07/1.65  % (3005843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.07/1.65  % (3005843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.07/1.65  % (3005843)CaDiCaL version: 2.1.3
% 6.07/1.65  % (3005843)Termination reason: Refutation
% 6.07/1.65  % (3005843)Time elapsed: 0.458 s
% 6.07/1.65  % (3005843)Peak memory usage: 135 MB
% 6.07/1.65  % (3005843)Instructions burned: 1274 (million)
% 6.07/1.65  % (3005843)------------------------------
% 6.07/1.65  % (3005843)------------------------------
% 6.07/1.65  % (3005838)Success in time 0.798 s
% 6.07/1.65  % Vampire exiting
%------------------------------------------------------------------------------