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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM980_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 12:17:44 PM UTC 2026

% Result   : Theorem 5.59s 1.89s
% Output   : Refutation 5.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   41 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :   69 (  20 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   52 (  24   ~;  18   |;   6   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-4 aty)
%            Number of variables   :   41 (  41   !;   0   ?;  41   :)

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

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

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

tff(type_def_8,type,
    fun: ( $tType * $tType ) > $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,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_3,type,
    if: 
      !>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).

tff(func_def_4,type,
    semiring_1_of_nat: 
      !>[X0: $tType] : ( nat > X0 ) ).

tff(func_def_5,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_6,type,
    fFalse: bool ).

tff(func_def_7,type,
    fTrue: bool ).

tff(func_def_8,type,
    n: nat ).

tff(func_def_9,type,
    t: int ).

tff(func_def_10,type,
    tn: nat ).

tff(func_def_11,type,
    sK0: ( nat * nat ) > nat ).

tff(func_def_12,type,
    sK1: int > nat ).

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

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

tff(pred_def_3,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

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

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

tff(pred_def_6,type,
    semiring_char_0: 
      !>[X0: $tType] : $o ).

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

tff(pred_def_8,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_10,type,
    linordered_semidom: 
      !>[X0: $tType] : $o ).

tff(pred_def_11,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_12,type,
    cancel146912293up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_13,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_14,type,
    ordere216010020id_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_15,type,
    ordere236663937imp_le: 
      !>[X0: $tType] : $o ).

tff(pred_def_16,type,
    ordere223160158up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_17,type,
    ord_less: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_18,type,
    pp: bool > $o ).

tff(f32,axiom,
    ! [X0: nat] : ( plus_plus(nat,zero_zero(nat),X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_plus__nat_Oadd__0) ).

tff(f34,axiom,
    ! [X0: nat,X1: nat] : ( plus_plus(nat,X1,X0) = plus_plus(nat,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_nat__add__commute) ).

tff(f43,axiom,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ord_less(nat,X2,X1)
     => ord_less(nat,X2,plus_plus(nat,X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_trans__less__add2) ).

tff(f64,axiom,
    ! [X0: nat] :
      ( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0))
    <=> ord_less(nat,zero_zero(nat),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_zero__less__int__conv) ).

tff(f81,axiom,
    ! [X0: int,X1: int] :
      ( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
    <=> ( ord_less(int,X1,X0)
        | ( X1 = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_zless__add1__eq) ).

tff(f87,axiom,
    one_one(int) = semiring_1_of_nat(int,one_one(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_transfer__int__nat__numerals_I2_J) ).

tff(f88,axiom,
    ! [X0: nat,X1: nat] : ( plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) = semiring_1_of_nat(int,plus_plus(nat,X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_Nat__Transfer_Otransfer__int__nat__functions_I1_J) ).

tff(f89,axiom,
    ! [X0: nat,X1: nat] :
      ( ord_less(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0))
    <=> ord_less(nat,X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_Nat__Transfer_Otransfer__int__nat__relations_I2_J) ).

tff(f90,axiom,
    zero_zero(int) = semiring_1_of_nat(int,zero_zero(nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_transfer__int__nat__numerals_I1_J) ).

tff(f134,conjecture,
    ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f135,negated_conjecture,
    ~ ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
    inference(negated_conjecture,[status(cth)],[f134]) ).

tff(f136,plain,
    ~ ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
    inference(flattening,[],[f135]) ).

tff(f143,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ord_less(nat,X2,plus_plus(nat,X0,X1))
      | ~ ord_less(nat,X2,X1) ),
    inference(ennf_transformation,[],[f43]) ).

tff(f154,plain,
    ! [X0: int,X1: int] :
      ( ( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
        | ( ~ ord_less(int,X1,X0)
          & ( X0 != X1 ) ) )
      & ( ord_less(int,X1,X0)
        | ( X1 = X0 )
        | ~ ord_less(int,X1,plus_plus(int,X0,one_one(int))) ) ),
    inference(nnf_transformation,[],[f81]) ).

tff(f155,plain,
    ! [X0: int,X1: int] :
      ( ( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
        | ( ~ ord_less(int,X1,X0)
          & ( X0 != X1 ) ) )
      & ( ord_less(int,X1,X0)
        | ( X1 = X0 )
        | ~ ord_less(int,X1,plus_plus(int,X0,one_one(int))) ) ),
    inference(flattening,[],[f154]) ).

tff(f167,plain,
    ! [X0: nat,X1: nat] :
      ( ( ord_less(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0))
        | ~ ord_less(nat,X1,X0) )
      & ( ord_less(nat,X1,X0)
        | ~ ord_less(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) ) ),
    inference(nnf_transformation,[],[f89]) ).

tff(f169,plain,
    ! [X0: nat] :
      ( ( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0))
        | ~ ord_less(nat,zero_zero(nat),X0) )
      & ( ord_less(nat,zero_zero(nat),X0)
        | ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0)) ) ),
    inference(nnf_transformation,[],[f64]) ).

tff(f175,plain,
    ~ ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),
    inference(cnf_transformation,[],[f136]) ).

tff(f176,plain,
    one_one(int) = semiring_1_of_nat(int,one_one(nat)),
    inference(cnf_transformation,[],[f87]) ).

tff(f178,plain,
    ! [X0: int,X1: int] :
      ( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
      | ( X0 != X1 ) ),
    inference(cnf_transformation,[],[f155]) ).

tff(f188,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( ord_less(nat,X2,plus_plus(nat,X0,X1))
      | ~ ord_less(nat,X2,X1) ),
    inference(cnf_transformation,[],[f143]) ).

tff(f192,plain,
    ! [X0: nat,X1: nat] : ( plus_plus(nat,X0,X1) = plus_plus(nat,X1,X0) ),
    inference(cnf_transformation,[],[f34]) ).

tff(f207,plain,
    ! [X0: nat] : ( plus_plus(nat,zero_zero(nat),X0) = X0 ),
    inference(cnf_transformation,[],[f32]) ).

tff(f221,plain,
    zero_zero(int) = semiring_1_of_nat(int,zero_zero(nat)),
    inference(cnf_transformation,[],[f90]) ).

tff(f222,plain,
    ! [X0: nat,X1: nat] :
      ( ~ ord_less(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0))
      | ord_less(nat,X1,X0) ),
    inference(cnf_transformation,[],[f167]) ).

tff(f224,plain,
    ! [X0: nat,X1: nat] : ( plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) = semiring_1_of_nat(int,plus_plus(nat,X1,X0)) ),
    inference(cnf_transformation,[],[f88]) ).

tff(f229,plain,
    ! [X0: nat] :
      ( ord_less(int,zero_zero(int),semiring_1_of_nat(int,X0))
      | ~ ord_less(nat,zero_zero(nat),X0) ),
    inference(cnf_transformation,[],[f169]) ).

tff(f248,plain,
    ! [X1: int] : ord_less(int,X1,plus_plus(int,X1,one_one(int))),
    inference(equality_resolution,[],[f178]) ).

tff(f431,plain,
    ! [X0: nat] :
      ( ~ ord_less(int,semiring_1_of_nat(int,X0),one_one(int))
      | ord_less(nat,X0,one_one(nat)) ),
    inference(superposition,[],[f222,f176]) ).

tff(f747,plain,
    ! [X0: nat] : ( semiring_1_of_nat(int,plus_plus(nat,one_one(nat),X0)) = plus_plus(int,one_one(int),semiring_1_of_nat(int,X0)) ),
    inference(superposition,[],[f224,f176]) ).

tff(f748,plain,
    ! [X0: nat] : ( semiring_1_of_nat(int,plus_plus(nat,zero_zero(nat),X0)) = plus_plus(int,zero_zero(int),semiring_1_of_nat(int,X0)) ),
    inference(superposition,[],[f224,f221]) ).

tff(f754,plain,
    ! [X0: nat] : ( semiring_1_of_nat(int,X0) = plus_plus(int,zero_zero(int),semiring_1_of_nat(int,X0)) ),
    inference(forward_demodulation,[],[f748,f207]) ).

tff(f763,plain,
    one_one(int) = plus_plus(int,zero_zero(int),one_one(int)),
    inference(superposition,[],[f754,f176]) ).

tff(f771,plain,
    ord_less(int,zero_zero(int),one_one(int)),
    inference(superposition,[],[f248,f763]) ).

tff(f920,plain,
    ( ~ ord_less(int,zero_zero(int),one_one(int))
    | ord_less(nat,zero_zero(nat),one_one(nat)) ),
    inference(superposition,[],[f431,f221]) ).

tff(f922,plain,
    ord_less(nat,zero_zero(nat),one_one(nat)),
    inference(forward_subsumption_resolution,[],[f920,f771]) ).

tff(f3332,plain,
    ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),
    inference(superposition,[],[f175,f747]) ).

tff(f3338,plain,
    ~ ord_less(int,zero_zero(int),semiring_1_of_nat(int,plus_plus(nat,n,one_one(nat)))),
    inference(forward_demodulation,[],[f3332,f192]) ).

tff(f3343,plain,
    ~ ord_less(nat,zero_zero(nat),plus_plus(nat,n,one_one(nat))),
    inference(resolution,[],[f3338,f229]) ).

tff(f3367,plain,
    ~ ord_less(nat,zero_zero(nat),one_one(nat)),
    inference(resolution,[],[f3343,f188]) ).

tff(f3373,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3367,f922]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM980_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n003.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 21:50:57 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.15/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.43  Running first-order theorem proving
% 0.15/0.43  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
% 4.45/1.65  % (947316)Detected formulas, will run a generic FOF schedule.
% 4.45/1.65  % (947344)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=205917261:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.45/1.65  % (947344)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.45/1.65  % (947348)dis-21_1_sil=8000:lcm=predicate:random_seed=4054861890: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)
% 4.45/1.65  % (947343)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=4222209213:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.45/1.65  % (947345)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=263439933:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.45/1.65  % (947346)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3485262526:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.45/1.65  % (947347)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1129369568:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.45/1.65  % (947345)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 4.45/1.65  % (947345)Refutation not found, incomplete strategy
% 4.45/1.65  % (947345)------------------------------
% 4.45/1.65  % (947345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.65  % (947345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.65  % (947345)CaDiCaL version: 2.1.3
% 4.45/1.65  % (947345)Termination reason: Refutation not found, incomplete strategy
% 4.45/1.65  % (947345)Time elapsed: 0.005 s
% 4.45/1.65  % (947345)Peak memory usage: 88 MB
% 4.45/1.65  % (947345)Instructions burned: 4 (million)
% 4.45/1.65  % (947348)Instruction limit reached! 
% 4.45/1.65  % (947348)------------------------------
% 4.45/1.65  % (947348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.65  % (947348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.65  % (947348)CaDiCaL version: 2.1.3
% 4.45/1.65  % (947348)Termination reason: Instruction limit
% 4.45/1.65  % (947348)Termination phase: Saturation
% 4.45/1.65  % (947348)Time elapsed: 0.092 s
% 4.45/1.65  % (947348)Peak memory usage: 89 MB
% 4.45/1.65  % (947348)Instructions burned: 130 (million)
% 4.45/1.65  % (947342)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=2282231384:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.45/1.65  % (947346)First to succeed.
% 4.45/1.65  % (947346)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-947316"
% 4.45/1.65  % (947347)Instruction limit reached! 
% 4.45/1.65  % (947347)------------------------------
% 4.45/1.65  % (947347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.65  % (947347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.65  % (947347)CaDiCaL version: 2.1.3
% 4.45/1.65  % (947347)Termination reason: Instruction limit
% 4.45/1.65  % (947347)Termination phase: Saturation
% 4.45/1.65  % (947347)Time elapsed: 0.141 s
% 4.45/1.65  % (947347)Peak memory usage: 89 MB
% 4.45/1.65  % (947347)Instructions burned: 139 (million)
% 4.45/1.65  % (947358)lrs+10_1_sil=8000:sp=occurrence:random_seed=2713242241:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.45/1.65  % Exception at run slice level
% 4.45/1.65  User error: GNN currently only supports monomorphic FOL.
% 4.45/1.65  % (947364)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3621316608:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.45/1.65  % (947369)lrs+1011_1_sil=32000:sp=occurrence:random_seed=554578891:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.45/1.65  % (947345)------------------------------
% 4.45/1.65  % (947345)------------------------------
% 4.45/1.65  % (947364)Instruction limit reached! 
% 4.45/1.65  % (947364)------------------------------
% 4.45/1.65  % (947364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.65  % (947364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.65  % (947364)CaDiCaL version: 2.1.3
% 5.59/1.89  % (947364)Termination reason: Instruction limit
% 5.59/1.89  % (947364)Termination phase: Saturation
% 5.59/1.89  % (947364)Time elapsed: 0.108 s
% 5.59/1.89  % (947364)Peak memory usage: 89 MB
% 5.59/1.89  % (947364)Instructions burned: 157 (million)
% 5.59/1.89  % (947369)Also succeeded, but the first one will report.
% 5.59/1.89  % (947358)Instruction limit reached! 
% 5.59/1.89  % (947358)------------------------------
% 5.59/1.89  % (947358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.89  % (947358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.89  % (947358)CaDiCaL version: 2.1.3
% 5.59/1.89  % (947358)Termination reason: Instruction limit
% 5.59/1.89  % (947358)Termination phase: Saturation
% 5.59/1.89  % (947358)Time elapsed: 0.268 s
% 5.59/1.89  % (947358)Peak memory usage: 90 MB
% 5.59/1.89  % (947358)Instructions burned: 285 (million)
% 5.59/1.89  % (947346)Refutation found. Thanks to Tanya!
% 5.59/1.89  % SZS status Theorem for theBenchmark
% 5.59/1.89  % SZS output start Proof for theBenchmark
% See solution above
% 5.59/1.90  % (947346)------------------------------
% 5.59/1.90  % (947346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.90  % (947346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.90  % (947346)CaDiCaL version: 2.1.3
% 5.59/1.90  % (947346)Termination reason: Refutation
% 5.59/1.90  % (947346)Time elapsed: 0.108 s
% 5.59/1.90  % (947346)Peak memory usage: 89 MB
% 5.59/1.90  % (947346)Instructions burned: 117 (million)
% 5.59/1.90  % (947346)------------------------------
% 5.59/1.90  % (947346)------------------------------
% 5.59/1.90  % (947316)Success in time 0.705 s
% 5.59/1.90  % Vampire exiting
%------------------------------------------------------------------------------