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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SCT131+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 12:36:59 PM UTC 2026

% Result   : Theorem 4.15s 1.54s
% Output   : Refutation 5.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  16 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  21   ~;  16   |;   1   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-3 aty)
%            Number of variables   :   44 (  43   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    c_Arrow__Order__Mirabelle_Ounanimity(v_F),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_u) ).

fof(f6,axiom,
    ! [X0] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096) ).

fof(f31,axiom,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
    <=> hBOOL(hAPP(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).

fof(f32,axiom,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096Q_A_058_AProf_096) ).

fof(f47,axiom,
    ! [X0] :
      ( c_Arrow__Order__Mirabelle_Ounanimity(X0)
    <=> ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf))
         => ! [X2,X3] :
              ( ! [X4] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,X4)))
             => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_unanimity__def) ).

fof(f535,conjecture,
    hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f536,negated_conjecture,
    ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
    inference(negated_conjecture,[status(cth)],[f535]) ).

fof(f537,plain,
    ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
    inference(flattening,[],[f536]) ).

fof(f540,plain,
    ! [X0] :
      ( c_Arrow__Order__Mirabelle_Ounanimity(X0)
     => ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf))
         => ! [X2,X3] :
              ( ! [X4] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,X4)))
             => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1))) ) ) ),
    inference(unused_predicate_definition_removal,[],[f47]) ).

fof(f546,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2,X3] :
              ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1)))
              | ? [X4] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,X4))) )
          | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf)) )
      | ~ c_Arrow__Order__Mirabelle_Ounanimity(X0) ),
    inference(ennf_transformation,[],[f540]) ).

fof(f581,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2,X3] :
              ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1)))
              | ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,sK6(X1,X2,X3)))) )
          | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf)) )
      | ~ c_Arrow__Order__Mirabelle_Ounanimity(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X4,sK6(X1,X2,X3))],[f546]) ).

fof(f598,plain,
    ! [X0,X1,X2] :
      ( ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
        | ~ hBOOL(hAPP(X0,X1)) )
      & ( hBOOL(hAPP(X0,X1))
        | ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f606,plain,
    ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
    inference(cnf_transformation,[],[f537]) ).

fof(f613,plain,
    c_Arrow__Order__Mirabelle_Ounanimity(v_F),
    inference(cnf_transformation,[],[f2]) ).

fof(f620,plain,
    ! [X0] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X0))),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Arrow__Order__Mirabelle_Ounanimity(X0)
      | ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X1,sK6(X1,X2,X3))))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf))
      | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),X3)),hAPP(X0,X1))) ),
    inference(cnf_transformation,[],[f581]) ).

fof(f668,plain,
    hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
    inference(cnf_transformation,[],[f32]) ).

fof(f690,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
      | hBOOL(hAPP(X0,X1)) ),
    inference(cnf_transformation,[],[f598]) ).

fof(f691,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(X0,X1))
      | hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ),
    inference(cnf_transformation,[],[f598]) ).

fof(f760,plain,
    hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)),
    inference(resolution,[],[f668,f690]) ).

fof(f762,plain,
    ! [X0] : hBOOL(hAPP(hAPP(c_member(X0),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
    inference(resolution,[],[f760,f691]) ).

fof(f782,plain,
    ! [X0] : hBOOL(hAPP(hAPP(v_Q____,X0),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____))),
    inference(resolution,[],[f620,f690]) ).

fof(f799,plain,
    ! [X0,X1] : hBOOL(hAPP(hAPP(c_member(X0),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X1))),
    inference(resolution,[],[f782,f691]) ).

fof(f998,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),hAPP(v_F,X2)))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X2),c_Arrow__Order__Mirabelle_OProf))
      | ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0),X1)),hAPP(X2,sK6(X2,X0,X1)))) ),
    inference(resolution,[],[f634,f613]) ).

fof(f1176,plain,
    ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf))
    | ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,sK6(v_Q____,v_b____,v_b_H____)))) ),
    inference(resolution,[],[f998,f606]) ).

fof(f1181,plain,
    ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,sK6(v_Q____,v_b____,v_b_H____)))),
    inference(forward_subsumption_resolution,[],[f1176,f762]) ).

fof(f1182,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1181,f799]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SCT131+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n014.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 23:46:17 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 4.15/1.54  % (1293561)Detected formulas, will run a generic FOF schedule.
% 4.15/1.54  % (1293569)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1340240967:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.15/1.54  % (1293569)Refutation not found, incomplete strategy
% 4.15/1.54  % (1293569)------------------------------
% 4.15/1.54  % (1293569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.54  % (1293569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.54  % (1293569)CaDiCaL version: 2.1.3
% 4.15/1.54  % (1293569)Termination reason: Refutation not found, incomplete strategy
% 4.15/1.54  % (1293569)Time elapsed: 0.003 s
% 4.15/1.54  % (1293569)Peak memory usage: 89 MB
% 4.15/1.54  % (1293569)Instructions burned: 5 (million)
% 4.15/1.54  % (1293567)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2752666666:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.15/1.54  % (1293566)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=721455395:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.15/1.54  % (1293568)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2737566062:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.15/1.54  % (1293572)dis-21_1_sil=8000:lcm=predicate:random_seed=3764120350:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.15/1.54  % (1293571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3603521064:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.15/1.54  % (1293570)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2993833549:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.15/1.54  % (1293572)Instruction limit reached! 
% 4.15/1.54  % (1293572)------------------------------
% 4.15/1.54  % (1293572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.54  % (1293572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.54  % (1293572)CaDiCaL version: 2.1.3
% 4.15/1.54  % (1293572)Termination reason: Instruction limit
% 4.15/1.54  % (1293572)Termination phase: Saturation
% 4.15/1.54  % (1293572)Time elapsed: 0.065 s
% 4.15/1.54  % (1293572)Peak memory usage: 90 MB
% 4.15/1.54  % (1293572)Instructions burned: 130 (million)
% 4.15/1.54  % (1293571)Instruction limit reached! 
% 4.15/1.54  % (1293571)------------------------------
% 4.15/1.54  % (1293571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.54  % (1293571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.54  % (1293571)CaDiCaL version: 2.1.3
% 4.15/1.54  % (1293571)Termination reason: Instruction limit
% 4.15/1.54  % (1293571)Termination phase: Saturation
% 4.15/1.54  % (1293571)Time elapsed: 0.077 s
% 4.15/1.54  % (1293571)Peak memory usage: 90 MB
% 4.15/1.54  % (1293571)Instructions burned: 139 (million)
% 4.15/1.54  % (1293570)Instruction limit reached! 
% 4.15/1.54  % (1293570)------------------------------
% 4.15/1.54  % (1293570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.54  % (1293570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.54  % (1293570)CaDiCaL version: 2.1.3
% 4.15/1.54  % (1293570)Termination reason: Instruction limit
% 4.15/1.54  % (1293570)Termination phase: Saturation
% 4.15/1.54  % (1293570)Time elapsed: 0.072 s
% 4.15/1.54  % (1293570)Peak memory usage: 89 MB
% 4.15/1.54  % (1293570)Instructions burned: 120 (million)
% 4.15/1.54  % (1293569)------------------------------
% 4.15/1.54  % (1293569)------------------------------
% 4.15/1.54  % (1293580)lrs+10_1_sil=8000:sp=occurrence:random_seed=229951924:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.15/1.54  % (1293582)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1776250632:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.15/1.54  % (1293581)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3949920772:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.15/1.54  % (1293583)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3444821941:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.15/1.54  % (1293582)First to succeed.
% 4.15/1.54  % (1293582)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1293561"
% 4.15/1.54  % (1293583)Instruction limit reached! 
% 4.15/1.54  % (1293583)------------------------------
% 4.15/1.54  % (1293583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.54  % (1293583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.54  % (1293583)CaDiCaL version: 2.1.3
% 4.15/1.54  % (1293583)Termination reason: Instruction limit
% 4.15/1.54  % (1293583)Termination phase: Saturation
% 4.15/1.54  % (1293583)Time elapsed: 0.068 s
% 4.15/1.54  % (1293583)Peak memory usage: 92 MB
% 4.15/1.54  % (1293583)Instructions burned: 251 (million)
% 4.15/1.54  % (1293581)Instruction limit reached! 
% 4.15/1.54  % (1293581)------------------------------
% 4.15/1.54  % (1293581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.54  % (1293581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.54  % (1293581)CaDiCaL version: 2.1.3
% 4.15/1.54  % (1293581)Termination reason: Instruction limit
% 4.15/1.54  % (1293581)Termination phase: Saturation
% 4.15/1.54  % (1293581)Time elapsed: 0.089 s
% 4.15/1.54  % (1293581)Peak memory usage: 90 MB
% 4.15/1.54  % (1293581)Instructions burned: 157 (million)
% 4.15/1.54  % (1293580)Instruction limit reached! 
% 4.15/1.54  % (1293580)------------------------------
% 4.15/1.54  % (1293580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.54  % (1293580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.54  % (1293580)CaDiCaL version: 2.1.3
% 4.15/1.54  % (1293580)Termination reason: Instruction limit
% 4.15/1.54  % (1293580)Termination phase: Saturation
% 4.15/1.54  % (1293580)Time elapsed: 0.174 s
% 4.15/1.54  % (1293580)Peak memory usage: 92 MB
% 4.15/1.54  % (1293580)Instructions burned: 285 (million)
% 4.15/1.54  % (1293588)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2052714105:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.15/1.54  % (1293589)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2669896084:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.15/1.54  % (1293588)Instruction limit reached! 
% 4.15/1.54  % (1293588)------------------------------
% 4.15/1.54  % (1293588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.54  % (1293588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.54  % (1293588)CaDiCaL version: 2.1.3
% 4.15/1.54  % (1293588)Termination reason: Instruction limit
% 4.15/1.54  % (1293588)Termination phase: Saturation
% 4.15/1.54  % (1293588)Time elapsed: 0.084 s
% 4.15/1.54  % (1293588)Peak memory usage: 90 MB
% 4.15/1.54  % (1293588)Instructions burned: 295 (million)
% 4.15/1.54  % (1293590)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=7527798:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.15/1.54  % (1293582)Refutation found. Thanks to Tanya!
% 4.15/1.54  % SZS status Theorem for theBenchmark
% 4.15/1.54  % SZS output start Proof for theBenchmark
% See solution above
% 5.29/1.74  % (1293582)------------------------------
% 5.29/1.74  % (1293582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.29/1.74  % (1293582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.29/1.74  % (1293582)CaDiCaL version: 2.1.3
% 5.29/1.74  % (1293582)Termination reason: Refutation
% 5.29/1.74  % (1293582)Time elapsed: 0.043 s
% 5.29/1.74  % (1293582)Peak memory usage: 90 MB
% 5.29/1.74  % (1293582)Instructions burned: 65 (million)
% 5.29/1.74  % (1293582)------------------------------
% 5.29/1.74  % (1293582)------------------------------
% 5.29/1.74  % (1293561)Success in time 0.69 s
% 5.29/1.74  % Vampire exiting
%------------------------------------------------------------------------------