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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM944_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 12:17:40 PM UTC 2026

% Result   : Theorem 1.56s 1.31s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   34 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :   42 (  23 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  15   ~;   7   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :    8 (   8   !;   0   ?;   8   :)

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

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

tff(type_def_7,type,
    nat: $tType ).

tff(func_def_0,type,
    one_one: 
      !>[X0: $tType] : X0 ).

tff(func_def_1,type,
    plus_plus: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_2,type,
    times_times: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_3,type,
    bit0: int > int ).

tff(func_def_4,type,
    bit1: int > int ).

tff(func_def_5,type,
    min: int ).

tff(func_def_6,type,
    pls: int ).

tff(func_def_7,type,
    number_number_of: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_8,type,
    legendre: ( int * int ) > int ).

tff(func_def_9,type,
    fFalse: bool ).

tff(func_def_10,type,
    fTrue: bool ).

tff(func_def_11,type,
    m: int ).

tff(pred_def_1,type,
    number: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    number_ring: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    number_semiring: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    semiri456707255roduct: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    zprime: int > $o ).

tff(pred_def_9,type,
    quadRes: ( int * int ) > $o ).

tff(pred_def_10,type,
    pp: bool > $o ).

tff(f1,axiom,
    legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) = one_one(int),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096Legendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_061_A1_096) ).

tff(f2,axiom,
    ( ~ quadRes(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),number_number_of(int,min))
   => ( legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != one_one(int) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__096_126_AQuadRes_A_I4_A_K_Am_A_L_A1_J_A_N1_A_061_061_062_ALegendre_A_N1_A_I4_A_K_Am_A_L_A1_J_A_126_061_A1_096) ).

tff(f38,axiom,
    ! [X0: int] : ( number_number_of(int,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_number__of__is__id) ).

tff(f39,axiom,
    ! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_add__Pls__right) ).

tff(f41,axiom,
    ! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_Bit0__def) ).

tff(f51,axiom,
    ! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_Bit1__def) ).

tff(f112,conjecture,
    quadRes(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),number_number_of(int,min)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f113,negated_conjecture,
    ~ quadRes(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),number_number_of(int,min)),
    inference(negated_conjecture,[status(cth)],[f112]) ).

tff(f114,plain,
    ~ quadRes(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),number_number_of(int,min)),
    inference(flattening,[],[f113]) ).

tff(f117,plain,
    ( ( legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) != one_one(int) )
    | quadRes(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),number_number_of(int,min)) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f127,plain,
    ~ quadRes(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),number_number_of(int,min)),
    inference(cnf_transformation,[],[f114]) ).

tff(f129,plain,
    ! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
    inference(cnf_transformation,[],[f51]) ).

tff(f130,plain,
    ! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
    inference(cnf_transformation,[],[f41]) ).

tff(f167,plain,
    ! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
    inference(cnf_transformation,[],[f39]) ).

tff(f173,plain,
    ! [X0: int] : ( number_number_of(int,X0) = X0 ),
    inference(cnf_transformation,[],[f38]) ).

tff(f174,plain,
    ( ( one_one(int) != legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))) )
    | quadRes(plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int)),number_number_of(int,min)) ),
    inference(cnf_transformation,[],[f117]) ).

tff(f176,plain,
    one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m),one_one(int))),
    inference(cnf_transformation,[],[f1]) ).

tff(f179,plain,
    ~ quadRes(plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),number_number_of(int,min)),
    inference(definition_unfolding,[],[f127,f130,f130,f129]) ).

tff(f206,plain,
    ( ( one_one(int) != legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))) )
    | quadRes(plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),number_number_of(int,min)) ),
    inference(definition_unfolding,[],[f174,f130,f130,f129,f130,f130,f129]) ).

tff(f208,plain,
    one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int))),
    inference(definition_unfolding,[],[f176,f130,f130,f129]) ).

tff(f221,plain,
    ~ quadRes(plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),min),
    inference(forward_demodulation,[],[f179,f173]) ).

tff(f222,plain,
    ~ quadRes(plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),one_one(int)),min),
    inference(forward_demodulation,[],[f221,f173]) ).

tff(f555,plain,
    one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),one_one(int))),
    inference(forward_demodulation,[],[f208,f173]) ).

tff(f556,plain,
    one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))),m),one_one(int))),
    inference(forward_demodulation,[],[f555,f167]) ).

tff(f557,plain,
    one_one(int) = legendre(number_number_of(int,min),plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int))),
    inference(forward_demodulation,[],[f556,f167]) ).

tff(f558,plain,
    one_one(int) = legendre(min,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int))),
    inference(forward_demodulation,[],[f557,f173]) ).

tff(f617,plain,
    ( ( one_one(int) != legendre(number_number_of(int,min),plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),one_one(int))) )
    | quadRes(plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),number_number_of(int,min)) ),
    inference(forward_demodulation,[],[f206,f173]) ).

tff(f618,plain,
    ( ( one_one(int) != legendre(number_number_of(int,min),plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls)),plus_plus(int,plus_plus(int,one_one(int),pls),plus_plus(int,one_one(int),pls))),m),one_one(int))) )
    | quadRes(plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),number_number_of(int,min)) ),
    inference(forward_demodulation,[],[f617,f167]) ).

tff(f619,plain,
    ( ( one_one(int) != legendre(number_number_of(int,min),plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int))) )
    | quadRes(plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),number_number_of(int,min)) ),
    inference(forward_demodulation,[],[f618,f167]) ).

tff(f620,plain,
    ( ( one_one(int) != legendre(min,plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,one_one(int),one_one(int)),plus_plus(int,one_one(int),one_one(int))),m),one_one(int))) )
    | quadRes(plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),number_number_of(int,min)) ),
    inference(forward_demodulation,[],[f619,f173]) ).

tff(f621,plain,
    quadRes(plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),number_number_of(int,min)),
    inference(forward_subsumption_resolution,[],[f620,f558]) ).

tff(f622,plain,
    quadRes(plus_plus(int,times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),m),one_one(int)),min),
    inference(forward_demodulation,[],[f621,f173]) ).

tff(f623,plain,
    quadRes(plus_plus(int,times_times(int,plus_plus(int,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)),plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),m),one_one(int)),min),
    inference(forward_demodulation,[],[f622,f173]) ).

tff(f624,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f623,f222]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NUM944_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38  % Computer : n015.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Sun Sep 27 21:50:31 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42  Running first-order theorem proving
% 0.10/0.42  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
% 1.56/1.31  % (2037399)Detected formulas, will run a generic FOF schedule.
% 1.56/1.31  % (2037406)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=1669473314:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.56/1.31  % (2037406)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.56/1.31  % (2037408)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=21874971:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.56/1.31  % (2037404)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=2988627251:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.56/1.31  % (2037407)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=88991467:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.56/1.31  % (2037405)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=2946587116:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.56/1.31  % (2037407)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 1.56/1.31  % (2037408)First to succeed.
% 1.56/1.31  % (2037408)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2037399"
% 1.56/1.31  % (2037410)dis-21_1_sil=8000:lcm=predicate:random_seed=4270220492: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)
% 1.56/1.31  % (2037409)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1999174073:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.56/1.31  % (2037410)Also succeeded, but the first one will report.
% 1.56/1.31  % (2037409)Also succeeded, but the first one will report.
% 1.56/1.31  % (2037407)Instruction limit reached! 
% 1.56/1.31  % (2037407)------------------------------
% 1.56/1.31  % (2037407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.56/1.31  % (2037407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/1.31  % (2037407)CaDiCaL version: 2.1.3
% 1.56/1.31  % (2037407)Termination reason: Instruction limit
% 1.56/1.31  % (2037407)Termination phase: Saturation
% 1.56/1.31  % (2037407)Time elapsed: 0.061 s
% 1.56/1.31  % (2037407)Peak memory usage: 88 MB
% 1.56/1.31  % (2037407)Instructions burned: 110 (million)
% 1.56/1.31  % (2037406)Aborted by signal SIGSEGV on /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.56/1.31  % (2037406)------------------------------
% 1.56/1.31  % (2037406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.56/1.31  % (2037406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/1.31  % (2037406)CaDiCaL version: 2.1.3
% 1.56/1.31  % (2037406)Termination reason: Unknown
% 1.56/1.31  % (2037406)Termination phase: Saturation
% 1.56/1.31  % (2037406)Time elapsed: 0.199 s
% 1.56/1.31  % (2037406)Peak memory usage: 113 MB
% 1.56/1.31  % (2037406)Instructions burned: 541 (million)
% 1.56/1.31  % (2037418)lrs+10_1_sil=8000:sp=occurrence:random_seed=3140450257:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.56/1.31  % (2037418)Also succeeded, but the first one will report.
% 1.56/1.31  % (2037408)Refutation found. Thanks to Tanya!
% 1.56/1.31  % SZS status Theorem for theBenchmark
% 1.56/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.51  % (2037408)------------------------------
% 0.16/1.51  % (2037408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.51  % (2037408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.51  % (2037408)CaDiCaL version: 2.1.3
% 0.16/1.51  % (2037408)Termination reason: Refutation
% 0.16/1.51  % (2037408)Time elapsed: 0.017 s
% 0.16/1.51  % (2037408)Peak memory usage: 88 MB
% 0.16/1.51  % (2037408)Instructions burned: 28 (million)
% 0.16/1.51  % (2037408)------------------------------
% 0.16/1.51  % (2037408)------------------------------
% 0.16/1.51  % (2037399)Success in time 0.446 s
% 0.16/1.51  % Vampire exiting
%------------------------------------------------------------------------------