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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV851-1 : 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 : n004.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 01:19:39 PM UTC 2026

% Result   : Unsatisfiable 11.52s 2.56s
% Output   : Refutation 11.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   65 (  58 unt;  17 def)
%            Number of atoms       :   72 (  52 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :   12 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   40 (  40 usr;  28 con; 0-5 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f126,axiom,
    c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_HOL_Ozero__class_Ozero(tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osize_I1_J_0) ).

fof(f127,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP),
    inference(reorient_equations,[],[f126]) ).

fof(f633,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ hBOOL(hAPP(hAPP(c_in(X3),X4),hAPP(c_Set_Oimage(X0,X2,X3),X1)))
      | hAPP(X0,hAPP(c_Hilbert__Choice_Oinv__into(X1,X0,X2,X3),X4)) = X4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_f__inv__into__f_0) ).

fof(f696,axiom,
    ! [X2,X3,X0,X1] : c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),X1),hAPP(c_Com_Ocom_OBODY,X2)),X3),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Body__triple__valid__0_0) ).

fof(f725,negated_conjecture,
    hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_x),hAPP(c_Set_Oimage(c_COMBS(c_COMBS(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),v_P),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),v_Q,tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a)),v_Procs))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f726,negated_conjecture,
    ~ c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),v_x,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f779,axiom,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),hAPP(X1,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).

fof(f781,axiom,
    ! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(c_COMBB(X0,X1,X2,X3),X4),X5) = hAPP(X0,hAPP(X4,X5)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).

fof(f784,definition,
    sF0 = tc_Hoare__Mirabelle_Otriple(t_a),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f785,plain,
    tc_Hoare__Mirabelle_Otriple(t_a) = sF0,
    inference(reorient_equations,[],[f784]) ).

fof(f786,definition,
    sF1 = c_in(sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f787,plain,
    c_in(sF0) = sF1,
    inference(reorient_equations,[],[f786]) ).

fof(f788,definition,
    sF2 = hAPP(sF1,v_x),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f789,plain,
    hAPP(sF1,v_x) = sF2,
    inference(reorient_equations,[],[f788]) ).

fof(f790,definition,
    sF3 = c_Hoare__Mirabelle_Otriple_Otriple(t_a),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f791,plain,
    c_Hoare__Mirabelle_Otriple_Otriple(t_a) = sF3,
    inference(reorient_equations,[],[f790]) ).

fof(f792,definition,
    sF4 = tc_fun(tc_Com_Ostate,tc_bool),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f793,plain,
    tc_fun(tc_Com_Ostate,tc_bool) = sF4,
    inference(reorient_equations,[],[f792]) ).

fof(f794,definition,
    sF5 = tc_fun(t_a,sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f795,plain,
    tc_fun(t_a,sF4) = sF5,
    inference(reorient_equations,[],[f794]) ).

fof(f796,definition,
    sF6 = tc_fun(sF5,sF0),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f797,plain,
    tc_fun(sF5,sF0) = sF6,
    inference(reorient_equations,[],[f796]) ).

fof(f798,definition,
    sF7 = tc_fun(tc_Com_Ocom,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f799,plain,
    tc_fun(tc_Com_Ocom,sF6) = sF7,
    inference(reorient_equations,[],[f798]) ).

fof(f800,definition,
    sF8 = c_COMBB(sF3,sF5,sF7,tc_Com_Opname),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f801,plain,
    c_COMBB(sF3,sF5,sF7,tc_Com_Opname) = sF8,
    inference(reorient_equations,[],[f800]) ).

fof(f802,definition,
    sF9 = hAPP(sF8,v_P),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f803,plain,
    hAPP(sF8,v_P) = sF9,
    inference(reorient_equations,[],[f802]) ).

fof(f804,definition,
    sF10 = c_COMBS(sF9,c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,sF6),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f805,plain,
    c_COMBS(sF9,c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,sF6) = sF10,
    inference(reorient_equations,[],[f804]) ).

fof(f806,definition,
    sF11 = c_COMBS(sF10,v_Q,tc_Com_Opname,sF5,sF0),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f807,plain,
    c_COMBS(sF10,v_Q,tc_Com_Opname,sF5,sF0) = sF11,
    inference(reorient_equations,[],[f806]) ).

fof(f808,definition,
    sF12 = c_Set_Oimage(sF11,tc_Com_Opname,sF0),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f809,plain,
    c_Set_Oimage(sF11,tc_Com_Opname,sF0) = sF12,
    inference(reorient_equations,[],[f808]) ).

fof(f810,definition,
    sF13 = hAPP(sF12,v_Procs),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f811,plain,
    hAPP(sF12,v_Procs) = sF13,
    inference(reorient_equations,[],[f810]) ).

fof(f812,definition,
    sF14 = hAPP(sF2,sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f813,plain,
    hAPP(sF2,sF13) = sF14,
    inference(reorient_equations,[],[f812]) ).

fof(f814,plain,
    hBOOL(sF14),
    inference(definition_folding,[],[f725,f813,f811,f809,f785,f807,f785,f795,f793,f805,f797,f785,f795,f793,f803,f801,f799,f797,f785,f795,f793,f795,f793,f791,f789,f787,f785]) ).

fof(f815,definition,
    sF15 = c_HOL_Ozero__class_Ozero(tc_nat),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f816,plain,
    c_HOL_Ozero__class_Ozero(tc_nat) = sF15,
    inference(reorient_equations,[],[f815]) ).

fof(f817,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(sF15,v_x,t_a),
    inference(definition_folding,[],[f726,f816]) ).

fof(f818,definition,
    ! [X0] : sF16(X0) = hAPP(sF1,X0),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f819,plain,
    ! [X0] : hAPP(sF1,X0) = sF16(X0),
    inference(reorient_equations,[],[f818]) ).

fof(f862,plain,
    c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = sF15,
    inference(forward_demodulation,[],[f816,f127]) ).

fof(f892,plain,
    sF2 = sF16(v_x),
    inference(superposition,[],[f789,f819]) ).

fof(f899,plain,
    ! [X0] : hAPP(hAPP(sF10,X0),hAPP(v_Q,X0)) = hAPP(sF11,X0),
    inference(superposition,[],[f779,f807]) ).

fof(f902,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_in(sF0),X0),hAPP(sF12,X1)))
      | hAPP(sF11,hAPP(c_Hilbert__Choice_Oinv__into(X1,sF11,tc_Com_Opname,sF0),X0)) = X0 ),
    inference(superposition,[],[f633,f809]) ).

fof(f906,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(sF1,X0),hAPP(sF12,X1)))
      | hAPP(sF11,hAPP(c_Hilbert__Choice_Oinv__into(X1,sF11,tc_Com_Opname,sF0),X0)) = X0 ),
    inference(forward_demodulation,[],[f902,f787]) ).

fof(f909,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(sF16(X0),hAPP(sF12,X1)))
      | hAPP(sF11,hAPP(c_Hilbert__Choice_Oinv__into(X1,sF11,tc_Com_Opname,sF0),X0)) = X0 ),
    inference(forward_demodulation,[],[f906,f819]) ).

fof(f911,plain,
    ! [X0] : hAPP(sF10,X0) = hAPP(hAPP(sF9,X0),hAPP(c_Com_Ocom_OBODY,X0)),
    inference(superposition,[],[f779,f805]) ).

fof(f1019,plain,
    ! [X2,X0,X1] : c_Hoare__Mirabelle_Otriple__valid(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(hAPP(sF3,X0),hAPP(c_Com_Ocom_OBODY,X1)),X2),t_a),
    inference(superposition,[],[f696,f791]) ).

fof(f1024,plain,
    ! [X2,X0,X1] : c_Hoare__Mirabelle_Otriple__valid(c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP),hAPP(hAPP(hAPP(sF3,X0),hAPP(c_Com_Ocom_OBODY,X1)),X2),t_a),
    inference(forward_demodulation,[],[f1019,f127]) ).

fof(f1027,plain,
    ! [X2,X0,X1] : c_Hoare__Mirabelle_Otriple__valid(sF15,hAPP(hAPP(hAPP(sF3,X0),hAPP(c_Com_Ocom_OBODY,X1)),X2),t_a),
    inference(forward_demodulation,[],[f1024,f862]) ).

fof(f1049,plain,
    ! [X0,X1] : hAPP(sF3,hAPP(X0,X1)) = hAPP(hAPP(sF8,X0),X1),
    inference(superposition,[],[f781,f801]) ).

fof(f1145,plain,
    ! [X0] : hAPP(sF9,X0) = hAPP(sF3,hAPP(v_P,X0)),
    inference(superposition,[],[f1049,f803]) ).

fof(f1158,plain,
    ! [X2,X0,X1] : c_Hoare__Mirabelle_Otriple__valid(sF15,hAPP(hAPP(hAPP(sF9,X0),hAPP(c_Com_Ocom_OBODY,X1)),X2),t_a),
    inference(superposition,[],[f1027,f1145]) ).

fof(f1295,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(sF2,hAPP(sF12,X0)))
      | v_x = hAPP(sF11,hAPP(c_Hilbert__Choice_Oinv__into(X0,sF11,tc_Com_Opname,sF0),v_x)) ),
    inference(superposition,[],[f909,f892]) ).

fof(f2350,plain,
    ! [X0,X1] : c_Hoare__Mirabelle_Otriple__valid(sF15,hAPP(hAPP(sF10,X0),X1),t_a),
    inference(superposition,[],[f1158,f911]) ).

fof(f2356,plain,
    ! [X0] : c_Hoare__Mirabelle_Otriple__valid(sF15,hAPP(sF11,X0),t_a),
    inference(superposition,[],[f2350,f899]) ).

fof(f2420,plain,
    ( ~ hBOOL(hAPP(sF2,sF13))
    | v_x = hAPP(sF11,hAPP(c_Hilbert__Choice_Oinv__into(v_Procs,sF11,tc_Com_Opname,sF0),v_x)) ),
    inference(superposition,[],[f1295,f811]) ).

fof(f2422,plain,
    ( ~ hBOOL(sF14)
    | v_x = hAPP(sF11,hAPP(c_Hilbert__Choice_Oinv__into(v_Procs,sF11,tc_Com_Opname,sF0),v_x)) ),
    inference(forward_demodulation,[],[f2420,f813]) ).

fof(f2423,plain,
    v_x = hAPP(sF11,hAPP(c_Hilbert__Choice_Oinv__into(v_Procs,sF11,tc_Com_Opname,sF0),v_x)),
    inference(forward_subsumption_resolution,[],[f2422,f814]) ).

fof(f2424,plain,
    c_Hoare__Mirabelle_Otriple__valid(sF15,v_x,t_a),
    inference(superposition,[],[f2356,f2423]) ).

fof(f2446,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2424,f817]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV851-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24  % Computer : n004.cluster.edu
% 0.10/0.24  % Model    : x86_64 x86_64
% 0.10/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24  % Memory   : 8046.5625MB
% 0.10/0.24  % 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 12:42:22 UTC 2026
% 0.10/0.25  % CPUTime  : 
% 0.10/0.25  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.30  Running first-order theorem proving
% 0.24/0.30  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
% 10.51/2.29  % (329417)Input is clausal, will run a generic CNF schedule.
% 10.51/2.29  % (329424)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=2803909837:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.51/2.29  % (329429)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1824993183:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.51/2.29  % (329426)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=614863652:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.51/2.29  % (329428)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3201779484:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.51/2.29  % (329425)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=616366448:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.51/2.29  % (329430)dis-21_1_sil=8000:lcm=predicate:random_seed=1427599868: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)
% 10.51/2.29  % (329427)lrs+10_1_sil=8000:sp=occurrence:random_seed=1660428455:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.51/2.29  % (329430)Instruction limit reached! 
% 10.51/2.29  % (329430)------------------------------
% 10.51/2.29  % (329430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329430)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329430)Termination reason: Instruction limit
% 10.51/2.29  % (329430)Termination phase: Saturation
% 10.51/2.29  % (329430)Time elapsed: 0.107 s
% 10.51/2.29  % (329430)Peak memory usage: 89 MB
% 10.51/2.29  % (329430)Instructions burned: 117 (million)
% 10.51/2.29  % (329427)Instruction limit reached! 
% 10.51/2.29  % (329427)------------------------------
% 10.51/2.29  % (329427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329427)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329427)Termination reason: Instruction limit
% 10.51/2.29  % (329427)Termination phase: Saturation
% 10.51/2.29  % (329427)Time elapsed: 0.113 s
% 10.51/2.29  % (329427)Peak memory usage: 90 MB
% 10.51/2.29  % (329427)Instructions burned: 108 (million)
% 10.51/2.29  % (329428)Instruction limit reached! 
% 10.51/2.29  % (329428)------------------------------
% 10.51/2.29  % (329428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329428)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329428)Termination reason: Instruction limit
% 10.51/2.29  % (329428)Termination phase: Saturation
% 10.51/2.29  % (329428)Time elapsed: 0.119 s
% 10.51/2.29  % (329428)Peak memory usage: 89 MB
% 10.51/2.29  % (329428)Instructions burned: 116 (million)
% 10.51/2.29  % (329429)Instruction limit reached! 
% 10.51/2.29  % (329429)------------------------------
% 10.51/2.29  % (329429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329429)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329429)Termination reason: Instruction limit
% 10.51/2.29  % (329429)Termination phase: Saturation
% 10.51/2.29  % (329429)Time elapsed: 0.183 s
% 10.51/2.29  % (329429)Peak memory usage: 90 MB
% 10.51/2.29  % (329429)Instructions burned: 180 (million)
% 10.51/2.29  % (329439)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2589462770:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 10.51/2.29  % (329438)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=552312626:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 10.51/2.29  % (329440)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=450112009:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 10.51/2.29  % (329441)lrs+10_64_to=lpo:sil=8000:random_seed=1784718036:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 10.51/2.29  % (329439)Instruction limit reached! 
% 10.51/2.29  % (329439)------------------------------
% 10.51/2.29  % (329439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329439)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329439)Termination reason: Instruction limit
% 10.51/2.29  % (329439)Termination phase: Saturation
% 10.51/2.29  % (329439)Time elapsed: 0.175 s
% 10.51/2.29  % (329439)Peak memory usage: 91 MB
% 10.51/2.29  % (329439)Instructions burned: 189 (million)
% 10.51/2.29  % (329438)Instruction limit reached! 
% 10.51/2.29  % (329438)------------------------------
% 10.51/2.29  % (329438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329438)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329438)Termination reason: Instruction limit
% 10.51/2.29  % (329438)Termination phase: Saturation
% 10.51/2.29  % (329438)Time elapsed: 0.144 s
% 10.51/2.29  % (329438)Peak memory usage: 90 MB
% 10.51/2.29  % (329438)Instructions burned: 146 (million)
% 10.51/2.29  % (329441)Instruction limit reached! 
% 10.51/2.29  % (329441)------------------------------
% 10.51/2.29  % (329441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329441)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329441)Termination reason: Instruction limit
% 10.51/2.29  % (329441)Termination phase: Saturation
% 10.51/2.29  % (329441)Time elapsed: 0.123 s
% 10.51/2.29  % (329441)Peak memory usage: 89 MB
% 10.51/2.29  % (329441)Instructions burned: 126 (million)
% 10.51/2.29  % (329440)Instruction limit reached! 
% 10.51/2.29  % (329440)------------------------------
% 10.51/2.29  % (329440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329440)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329440)Termination reason: Instruction limit
% 10.51/2.29  % (329440)Termination phase: Saturation
% 10.51/2.29  % (329440)Time elapsed: 0.211 s
% 10.51/2.29  % (329440)Peak memory usage: 91 MB
% 10.51/2.29  % (329440)Instructions burned: 220 (million)
% 10.51/2.29  % (329446)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1747582326:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 10.51/2.29  % (329447)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=503490604:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 10.51/2.29  % (329448)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2932054449:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 10.51/2.29  % (329450)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=2595038141:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 10.51/2.29  % (329447)Instruction limit reached! 
% 10.51/2.29  % (329447)------------------------------
% 10.51/2.29  % (329447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329447)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329447)Termination reason: Instruction limit
% 10.51/2.29  % (329447)Termination phase: Saturation
% 10.51/2.29  % (329447)Time elapsed: 0.153 s
% 10.51/2.29  % (329447)Peak memory usage: 90 MB
% 10.51/2.29  % (329447)Instructions burned: 158 (million)
% 10.51/2.29  % (329450)Instruction limit reached! 
% 10.51/2.29  % (329450)------------------------------
% 10.51/2.29  % (329450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329450)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329450)Termination reason: Instruction limit
% 10.51/2.29  % (329450)Termination phase: Saturation
% 10.51/2.29  % (329450)Time elapsed: 0.089 s
% 10.51/2.29  % (329450)Peak memory usage: 89 MB
% 10.51/2.29  % (329450)Instructions burned: 107 (million)
% 10.51/2.29  % (329446)Instruction limit reached! 
% 10.51/2.29  % (329446)------------------------------
% 10.51/2.29  % (329446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.29  % (329446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.29  % (329446)CaDiCaL version: 2.1.3
% 10.51/2.29  % (329446)Termination reason: Instruction limit
% 10.51/2.29  % (329446)Termination phase: Saturation
% 10.51/2.29  % (329446)Time elapsed: 0.202 s
% 11.52/2.56  % (329446)Peak memory usage: 90 MB
% 11.52/2.56  % (329446)Instructions burned: 194 (million)
% 11.52/2.56  % (329424)First to succeed.
% 11.52/2.56  % (329424)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-329417"
% 11.52/2.56  % (329455)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3803126300:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 11.52/2.56  % (329456)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=359382489:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 11.52/2.56  % (329424)Refutation found. Thanks to Tanya!
% 11.52/2.56  % SZS status Unsatisfiable for theBenchmark
% 11.52/2.56  % SZS output start Proof for theBenchmark
% See solution above
% 11.52/2.56  % (329424)------------------------------
% 11.52/2.56  % (329424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.52/2.56  % (329424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.52/2.56  % (329424)CaDiCaL version: 2.1.3
% 11.52/2.56  % (329424)Termination reason: Refutation
% 11.52/2.56  % (329424)Time elapsed: 1.113 s
% 11.52/2.56  % (329424)Peak memory usage: 138 MB
% 11.52/2.56  % (329424)Instructions burned: 1852 (million)
% 11.52/2.56  % (329424)------------------------------
% 11.52/2.56  % (329424)------------------------------
% 11.52/2.56  % (329417)Success in time 1.55 s
% 11.52/2.56  % Vampire exiting
%------------------------------------------------------------------------------