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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP012_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 11:28:06 AM UTC 2026

% Result   : Theorem 1.93s 1.84s
% Output   : Refutation 5.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (  11   ~;   3   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   32 (  32 usr;  13 con; 0-4 aty)
%            Number of variables   :   26 (  23   !;   3   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    tyop_2Einteger_2Eint: $tType ).

tff(type_def_6,type,
    tyop_2Emin_2Ebool: $tType ).

tff(type_def_7,type,
    tyop_2Emin_2Efun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    app_2E2: 
      !>[X0: $tType,X1: $tType] : ( ( tyop_2Emin_2Efun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_1,type,
    combin_i_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(X0,X0) ).

tff(func_def_2,type,
    combin_k_2E0: 
      !>[X0: $tType,X1: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)) ).

tff(func_def_3,type,
    combin_s_2E0: 
      !>[X0: $tType,X1: $tType,X2: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X2)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,X1),tyop_2Emin_2Efun(X0,X2))) ).

tff(func_def_4,type,
    c_2Ebool_2E_21_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).

tff(func_def_5,type,
    c_2Ebool_2E_21_2E1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).

tff(func_def_6,type,
    c_2Ebool_2E_2F_5C_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).

tff(func_def_7,type,
    c_2Ebool_2E_2F_5C_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_8,type,
    c_2Emin_2E_3D_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool)) ).

tff(func_def_9,type,
    c_2Emin_2E_3D_2E2: 
      !>[X0: $tType] : ( ( X0 * X0 ) > tyop_2Emin_2Ebool ) ).

tff(func_def_10,type,
    c_2Emin_2E_3D_3D_3E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).

tff(func_def_11,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_12,type,
    c_2Ebool_2E_3F_2E0: 
      !>[X0: $tType] : tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool) ).

tff(func_def_13,type,
    c_2Ebool_2E_3F_2E1: 
      !>[X0: $tType] : ( tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool) > tyop_2Emin_2Ebool ) ).

tff(func_def_14,type,
    c_2Ebool_2EF_2E0: tyop_2Emin_2Ebool ).

tff(func_def_15,type,
    c_2Ebool_2ET_2E0: tyop_2Emin_2Ebool ).

tff(func_def_16,type,
    c_2Ebool_2E_5C_2F_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)) ).

tff(func_def_17,type,
    c_2Ebool_2E_5C_2F_2E2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > tyop_2Emin_2Ebool ).

tff(func_def_18,type,
    c_2Einteger_2Eint__add_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)) ).

tff(func_def_19,type,
    c_2Einteger_2Eint__add_2E2: ( tyop_2Einteger_2Eint * tyop_2Einteger_2Eint ) > tyop_2Einteger_2Eint ).

tff(func_def_20,type,
    c_2Einteger_2Eint__divides_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Ebool)) ).

tff(func_def_21,type,
    c_2Einteger_2Eint__divides_2E2: ( tyop_2Einteger_2Eint * tyop_2Einteger_2Eint ) > tyop_2Emin_2Ebool ).

tff(func_def_22,type,
    c_2Einteger_2Eint__neg_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint) ).

tff(func_def_23,type,
    c_2Einteger_2Eint__neg_2E1: tyop_2Einteger_2Eint > tyop_2Einteger_2Eint ).

tff(func_def_24,type,
    c_2Einteger_2Eint__sub_2E0: tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Emin_2Efun(tyop_2Einteger_2Eint,tyop_2Einteger_2Eint)) ).

tff(func_def_25,type,
    c_2Einteger_2Eint__sub_2E2: ( tyop_2Einteger_2Eint * tyop_2Einteger_2Eint ) > tyop_2Einteger_2Eint ).

tff(func_def_26,type,
    c_2Ebool_2E_7E_2E0: tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool) ).

tff(func_def_27,type,
    c_2Ebool_2E_7E_2E1: tyop_2Emin_2Ebool > tyop_2Emin_2Ebool ).

tff(func_def_28,type,
    sK11: tyop_2Einteger_2Eint ).

tff(func_def_29,type,
    sK12: tyop_2Einteger_2Eint ).

tff(func_def_30,type,
    sK13: tyop_2Einteger_2Eint ).

tff(pred_def_1,type,
    p: tyop_2Emin_2Ebool > $o ).

tff(pred_def_2,type,
    sP0: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(pred_def_3,type,
    sP1: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(pred_def_4,type,
    sP2: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(pred_def_5,type,
    sP3: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(pred_def_6,type,
    sP4: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(pred_def_7,type,
    sP5: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(pred_def_8,type,
    sP6: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(pred_def_9,type,
    sP7: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(pred_def_10,type,
    sP8: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(pred_def_11,type,
    sP9: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(pred_def_12,type,
    sP10: ( tyop_2Emin_2Ebool * tyop_2Emin_2Ebool * tyop_2Emin_2Ebool ) > $o ).

tff(f39,axiom,
    ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__sub_2E2(X0,X1) = c_2Einteger_2Eint__add_2E2(X0,c_2Einteger_2Eint__neg_2E1(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2Eint__sub) ).

tff(f40,axiom,
    ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
      ( p(c_2Einteger_2Eint__divides_2E2(X0,X1))
     => ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__add_2E2(X2,X1)) = c_2Einteger_2Eint__divides_2E2(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RADD) ).

tff(f41,axiom,
    ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
      ( ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__neg_2E1(X1)) = c_2Einteger_2Eint__divides_2E2(X0,X1) )
      & ( c_2Einteger_2Eint__divides_2E2(c_2Einteger_2Eint__neg_2E1(X0),X1) = c_2Einteger_2Eint__divides_2E2(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__NEG) ).

tff(f52,conjecture,
    ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
      ( p(c_2Einteger_2Eint__divides_2E2(X0,X1))
     => ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__sub_2E2(X2,X1)) = c_2Einteger_2Eint__divides_2E2(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__DIVIDES__RSUB) ).

tff(f53,negated_conjecture,
    ~ ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
        ( p(c_2Einteger_2Eint__divides_2E2(X0,X1))
       => ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__sub_2E2(X2,X1)) = c_2Einteger_2Eint__divides_2E2(X0,X2) ) ),
    inference(negated_conjecture,[status(cth)],[f52]) ).

tff(f54,plain,
    ? [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
      ( ( c_2Einteger_2Eint__divides_2E2(X0,X2) != c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__sub_2E2(X2,X1)) )
      & p(c_2Einteger_2Eint__divides_2E2(X0,X1)) ),
    inference(ennf_transformation,[],[f53]) ).

tff(f60,plain,
    ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint,X2: tyop_2Einteger_2Eint] :
      ( ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__add_2E2(X2,X1)) = c_2Einteger_2Eint__divides_2E2(X0,X2) )
      | ~ p(c_2Einteger_2Eint__divides_2E2(X0,X1)) ),
    inference(ennf_transformation,[],[f40]) ).

tff(f77,plain,
    ( ( c_2Einteger_2Eint__divides_2E2(sK11,sK13) != c_2Einteger_2Eint__divides_2E2(sK11,c_2Einteger_2Eint__sub_2E2(sK13,sK12)) )
    & p(c_2Einteger_2Eint__divides_2E2(sK11,sK12)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f54]) ).

tff(f125,plain,
    p(c_2Einteger_2Eint__divides_2E2(sK11,sK12)),
    inference(cnf_transformation,[],[f77]) ).

tff(f126,plain,
    c_2Einteger_2Eint__divides_2E2(sK11,sK13) != c_2Einteger_2Eint__divides_2E2(sK11,c_2Einteger_2Eint__sub_2E2(sK13,sK12)),
    inference(cnf_transformation,[],[f77]) ).

tff(f237,plain,
    ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__sub_2E2(X0,X1) = c_2Einteger_2Eint__add_2E2(X0,c_2Einteger_2Eint__neg_2E1(X1)) ),
    inference(cnf_transformation,[],[f39]) ).

tff(f238,plain,
    ! [X2: tyop_2Einteger_2Eint,X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] :
      ( ( c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__add_2E2(X2,X1)) = c_2Einteger_2Eint__divides_2E2(X0,X2) )
      | ~ p(c_2Einteger_2Eint__divides_2E2(X0,X1)) ),
    inference(cnf_transformation,[],[f60]) ).

tff(f240,plain,
    ! [X0: tyop_2Einteger_2Eint,X1: tyop_2Einteger_2Eint] : ( c_2Einteger_2Eint__divides_2E2(X0,X1) = c_2Einteger_2Eint__divides_2E2(X0,c_2Einteger_2Eint__neg_2E1(X1)) ),
    inference(cnf_transformation,[],[f41]) ).

tff(f241,plain,
    c_2Einteger_2Eint__divides_2E2(sK11,sK13) != c_2Einteger_2Eint__divides_2E2(sK11,c_2Einteger_2Eint__add_2E2(sK13,c_2Einteger_2Eint__neg_2E1(sK12))),
    inference(definition_unfolding,[],[f126,f237]) ).

tff(f380,plain,
    ( ( c_2Einteger_2Eint__divides_2E2(sK11,sK13) != c_2Einteger_2Eint__divides_2E2(sK11,sK13) )
    | ~ p(c_2Einteger_2Eint__divides_2E2(sK11,c_2Einteger_2Eint__neg_2E1(sK12))) ),
    inference(superposition,[],[f241,f238]) ).

tff(f382,plain,
    ~ p(c_2Einteger_2Eint__divides_2E2(sK11,c_2Einteger_2Eint__neg_2E1(sK12))),
    inference(trivial_inequality_removal,[],[f380]) ).

tff(f384,plain,
    ~ p(c_2Einteger_2Eint__divides_2E2(sK11,sK12)),
    inference(forward_demodulation,[],[f382,f240]) ).

tff(f387,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f384,f125]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ITP012_3 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.47  % Computer : n013.cluster.edu
% 0.18/0.47  % Model    : x86_64 x86_64
% 0.18/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.47  % Memory   : 8046.5625MB
% 0.18/0.47  % OS       : Linux 6.8.0-71-generic
% 0.18/0.47  % CPULimit : 300
% 0.18/0.47  % WCLimit  : 300
% 0.18/0.47  % DateTime : Sun Sep 27 11:57:51 UTC 2026
% 0.18/0.47  % CPUTime  : 
% 0.18/0.47  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.53  Running first-order theorem proving
% 0.22/0.53  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
% 1.93/1.84  % (100163)Detected formulas, will run a generic FOF schedule.
% 1.93/1.84  % (100176)dis-21_1_sil=8000:lcm=predicate:random_seed=2571560441: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)
% 1.93/1.84  % (100175)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=801834429:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.93/1.84  % (100176)Instruction limit reached! 
% 1.93/1.84  % (100176)------------------------------
% 1.93/1.84  % (100176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.93/1.84  % (100176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/1.84  % (100176)CaDiCaL version: 2.1.3
% 1.93/1.84  % (100176)Termination reason: Instruction limit
% 1.93/1.84  % (100176)Termination phase: Saturation
% 1.93/1.84  % (100176)Time elapsed: 0.061 s
% 1.93/1.84  % (100176)Peak memory usage: 90 MB
% 1.93/1.84  % (100176)Instructions burned: 131 (million)
% 1.93/1.84  % (100173)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3792607996:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.93/1.84  % (100174)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3235779241:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.93/1.84  % (100170)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=2405760405:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.93/1.84  % (100171)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=4258217042:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.93/1.84  % (100172)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=1016105474:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.93/1.84  % (100173)Refutation not found, incomplete strategy
% 1.93/1.84  % (100173)------------------------------
% 1.93/1.84  % (100173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.93/1.84  % (100173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/1.84  % (100173)CaDiCaL version: 2.1.3
% 1.93/1.84  % (100173)Termination reason: Refutation not found, incomplete strategy
% 1.93/1.84  % (100173)Time elapsed: 0.005 s
% 1.93/1.84  % (100173)Peak memory usage: 88 MB
% 1.93/1.84  % (100173)Instructions burned: 7 (million)
% 1.93/1.84  % (100172)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.93/1.84  % (100174)First to succeed.
% 1.93/1.84  % (100174)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-100163"
% 1.93/1.84  % (100175)Also succeeded, but the first one will report.
% 1.93/1.84  % (100184)lrs+10_1_sil=8000:sp=occurrence:random_seed=2058462305:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.93/1.84  % (100173)------------------------------
% 1.93/1.84  % (100173)------------------------------
% 1.93/1.84  % (100184)Instruction limit reached! 
% 1.93/1.84  % (100184)------------------------------
% 1.93/1.84  % (100184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.93/1.84  % (100184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/1.84  % (100184)CaDiCaL version: 2.1.3
% 1.93/1.84  % (100184)Termination reason: Instruction limit
% 1.93/1.84  % (100184)Termination phase: Saturation
% 1.93/1.84  % (100184)Time elapsed: 0.125 s
% 1.93/1.84  % (100184)Peak memory usage: 88 MB
% 1.93/1.84  % (100184)Instructions burned: 286 (million)
% 1.93/1.84  % (100174)Refutation found. Thanks to Tanya!
% 1.93/1.84  % SZS status Theorem for theBenchmark
% 1.93/1.84  % SZS output start Proof for theBenchmark
% See solution above
% 5.60/2.09  % (100174)------------------------------
% 5.60/2.09  % (100174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.60/2.09  % (100174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/2.09  % (100174)CaDiCaL version: 2.1.3
% 5.60/2.09  % (100174)Termination reason: Refutation
% 5.60/2.09  % (100174)Time elapsed: 0.008 s
% 5.60/2.09  % (100174)Peak memory usage: 88 MB
% 5.60/2.09  % (100174)Instructions burned: 7 (million)
% 5.60/2.09  % (100174)------------------------------
% 5.60/2.09  % (100174)------------------------------
% 5.60/2.09  % (100163)Success in time 0.658 s
% 5.60/2.09  % Vampire exiting
%------------------------------------------------------------------------------