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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW498_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 : n006.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 01:30:41 PM UTC 2026

% Result   : Theorem 4.05s 1.33s
% Output   : Refutation 4.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   42 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :   57 (  23 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   30 (  15   ~;  10   |;   0   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :   38 (  38   !;   0   ?;  38   :)

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

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

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

tff(type_def_8,type,
    nat: $tType ).

tff(type_def_9,type,
    real: $tType ).

tff(func_def_0,type,
    fundam1563812824_csqrt: complex > complex ).

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

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

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

tff(func_def_4,type,
    times_times: 
      !>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).

tff(func_def_5,type,
    bit0: int > int ).

tff(func_def_6,type,
    bit1: int > int ).

tff(func_def_7,type,
    min: int ).

tff(func_def_8,type,
    pls: int ).

tff(func_def_9,type,
    number_number_of: 
      !>[X0: $tType] : ( int > X0 ) ).

tff(func_def_10,type,
    power_power: 
      !>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).

tff(func_def_11,type,
    fFalse: bool ).

tff(func_def_12,type,
    fTrue: bool ).

tff(func_def_13,type,
    x: real ).

tff(func_def_14,type,
    y: real ).

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

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

tff(pred_def_3,type,
    ring_char_0: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    semiring_1: 
      !>[X0: $tType] : $o ).

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

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

tff(pred_def_7,type,
    comm_semiring_1: 
      !>[X0: $tType] : $o ).

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

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

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

tff(f2,axiom,
    ord_less_eq(real,power_power(real,abs_abs(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x)),number_number_of(nat,bit0(bit1(pls)))),power_power(real,one_one(real),number_number_of(nat,bit0(bit1(pls))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096abs_A_I2_A_K_Ax_J_A_094_A2_A_060_061_A1_A_094_A2_096) ).

tff(f11,axiom,
    ! [X0: $tType] :
      ( number_ring(X0)
     => ( number_number_of(X0,bit1(pls)) = one_one(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_numeral__1__eq__1) ).

tff(f12,axiom,
    ! [X0: real] : ( times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,X0,number_number_of(nat,bit0(bit1(pls))))) = power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),X0),number_number_of(nat,bit0(bit1(pls)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_four__x__squared) ).

tff(f14,axiom,
    ! [X0: $tType] :
      ( comm_semiring_1(X0)
     => ! [X1: X0] : ( times_times(X0,X1,X1) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).

tff(f58,axiom,
    ! [X0: $tType] :
      ( linordered_idom(X0)
     => ! [X1: X0] : ( power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_power2__abs) ).

tff(f81,axiom,
    ! [X0: $tType] :
      ( comm_semiring_1(X0)
     => ! [X1: X0,X2: X0] : ( times_times(X0,X2,X1) = times_times(X0,X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).

tff(f88,axiom,
    ! [X0: $tType] :
      ( number_ring(X0)
     => ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_mult__numeral__1) ).

tff(f111,axiom,
    linordered_idom(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef_Oreal___Rings_Olinordered__idom) ).

tff(f112,axiom,
    comm_semiring_1(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef_Oreal___Rings_Ocomm__semiring__1) ).

tff(f117,axiom,
    number_ring(real),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef_Oreal___Int_Onumber__ring) ).

tff(f128,conjecture,
    ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f129,negated_conjecture,
    ~ ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
    inference(negated_conjecture,[status(cth)],[f128]) ).

tff(f130,plain,
    ~ ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
    inference(flattening,[],[f129]) ).

tff(f138,plain,
    ! [X0: $tType] :
      ( ( number_number_of(X0,bit1(pls)) = one_one(X0) )
      | ~ number_ring(X0) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f139,plain,
    ! [X0: $tType] :
      ( ! [X1: X0] : ( times_times(X0,X1,X1) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) )
      | ~ comm_semiring_1(X0) ),
    inference(ennf_transformation,[],[f14]) ).

tff(f153,plain,
    ! [X0: $tType] :
      ( ! [X1: X0] : ( power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) )
      | ~ linordered_idom(X0) ),
    inference(ennf_transformation,[],[f58]) ).

tff(f169,plain,
    ! [X0: $tType] :
      ( ! [X1: X0,X2: X0] : ( times_times(X0,X2,X1) = times_times(X0,X1,X2) )
      | ~ comm_semiring_1(X0) ),
    inference(ennf_transformation,[],[f81]) ).

tff(f176,plain,
    ! [X0: $tType] :
      ( ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
      | ~ number_ring(X0) ),
    inference(ennf_transformation,[],[f88]) ).

tff(f213,plain,
    ord_less_eq(real,power_power(real,abs_abs(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x)),number_number_of(nat,bit0(bit1(pls)))),power_power(real,one_one(real),number_number_of(nat,bit0(bit1(pls))))),
    inference(cnf_transformation,[],[f2]) ).

tff(f224,plain,
    ! [X0: $tType] :
      ( ~ number_ring(X0)
      | ( one_one(X0) = number_number_of(X0,bit1(pls)) ) ),
    inference(cnf_transformation,[],[f138]) ).

tff(f225,plain,
    ! [X0: real] : ( times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,X0,number_number_of(nat,bit0(bit1(pls))))) = power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),X0),number_number_of(nat,bit0(bit1(pls)))) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f227,plain,
    ! [X0: $tType,X1: X0] :
      ( ~ comm_semiring_1(X0)
      | ( times_times(X0,X1,X1) = power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) ) ),
    inference(cnf_transformation,[],[f139]) ).

tff(f290,plain,
    ! [X0: $tType,X1: X0] :
      ( ~ linordered_idom(X0)
      | ( power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))) = power_power(X0,abs_abs(X0,X1),number_number_of(nat,bit0(bit1(pls)))) ) ),
    inference(cnf_transformation,[],[f153]) ).

tff(f322,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( ~ comm_semiring_1(X0)
      | ( times_times(X0,X2,X1) = times_times(X0,X1,X2) ) ),
    inference(cnf_transformation,[],[f169]) ).

tff(f330,plain,
    ! [X0: $tType,X1: X0] :
      ( ~ number_ring(X0)
      | ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
    inference(cnf_transformation,[],[f176]) ).

tff(f353,plain,
    linordered_idom(real),
    inference(cnf_transformation,[],[f111]) ).

tff(f354,plain,
    comm_semiring_1(real),
    inference(cnf_transformation,[],[f112]) ).

tff(f359,plain,
    number_ring(real),
    inference(cnf_transformation,[],[f117]) ).

tff(f370,plain,
    ~ ord_less_eq(real,times_times(real,number_number_of(real,bit0(bit0(bit1(pls)))),power_power(real,x,number_number_of(nat,bit0(bit1(pls))))),one_one(real)),
    inference(cnf_transformation,[],[f130]) ).

tff(f393,plain,
    one_one(real) = number_number_of(real,bit1(pls)),
    inference(resolution,[],[f224,f359]) ).

tff(f475,plain,
    ! [X0: real,X1: real] : ( times_times(real,X0,X1) = times_times(real,X1,X0) ),
    inference(resolution,[],[f322,f354]) ).

tff(f480,plain,
    ! [X0: real] : ( times_times(real,number_number_of(real,bit1(pls)),X0) = X0 ),
    inference(resolution,[],[f330,f359]) ).

tff(f485,plain,
    ! [X0: real] : ( times_times(real,one_one(real),X0) = X0 ),
    inference(forward_demodulation,[],[f480,f393]) ).

tff(f635,plain,
    ! [X0: real] : ( power_power(real,X0,number_number_of(nat,bit0(bit1(pls)))) = times_times(real,X0,X0) ),
    inference(resolution,[],[f227,f354]) ).

tff(f941,plain,
    ! [X0: real] : ( power_power(real,X0,number_number_of(nat,bit0(bit1(pls)))) = power_power(real,abs_abs(real,X0),number_number_of(nat,bit0(bit1(pls)))) ),
    inference(resolution,[],[f290,f353]) ).

tff(f1063,plain,
    ord_less_eq(real,power_power(real,abs_abs(real,times_times(real,x,number_number_of(real,bit0(bit1(pls))))),number_number_of(nat,bit0(bit1(pls)))),power_power(real,one_one(real),number_number_of(nat,bit0(bit1(pls))))),
    inference(forward_demodulation,[],[f213,f475]) ).

tff(f1092,plain,
    ~ ord_less_eq(real,power_power(real,times_times(real,number_number_of(real,bit0(bit1(pls))),x),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
    inference(superposition,[],[f370,f225]) ).

tff(f1093,plain,
    ~ ord_less_eq(real,power_power(real,times_times(real,x,number_number_of(real,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
    inference(forward_demodulation,[],[f1092,f475]) ).

tff(f2841,plain,
    ord_less_eq(real,power_power(real,times_times(real,x,number_number_of(real,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls)))),power_power(real,one_one(real),number_number_of(nat,bit0(bit1(pls))))),
    inference(superposition,[],[f1063,f941]) ).

tff(f2851,plain,
    ord_less_eq(real,power_power(real,times_times(real,x,number_number_of(real,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls)))),times_times(real,one_one(real),one_one(real))),
    inference(forward_demodulation,[],[f2841,f635]) ).

tff(f2855,plain,
    ord_less_eq(real,power_power(real,times_times(real,x,number_number_of(real,bit0(bit1(pls)))),number_number_of(nat,bit0(bit1(pls)))),one_one(real)),
    inference(forward_demodulation,[],[f2851,f485]) ).

tff(f2859,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2855,f1093]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW498_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.17  % Computer : n006.cluster.edu
% 0.11/0.17  % Model    : x86_64 x86_64
% 0.11/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17  % Memory   : 8046.5625MB
% 0.11/0.17  % OS       : Linux 6.8.0-71-generic
% 0.11/0.17  % CPULimit : 300
% 0.11/0.17  % WCLimit  : 300
% 0.11/0.17  % DateTime : Mon Sep 28 14:14:55 UTC 2026
% 0.11/0.17  % CPUTime  : 
% 0.11/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21  Running first-order theorem proving
% 0.11/0.21  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
% 3.22/1.14  % (3990601)Detected formulas, will run a generic FOF schedule.
% 3.22/1.14  % (3990608)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=3382266282:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.22/1.14  % (3990608)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.22/1.14  % (3990607)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=1787246884:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.22/1.14  % (3990606)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=2982334681:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.22/1.14  % (3990609)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3352225024:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.22/1.14  % (3990612)dis-21_1_sil=8000:lcm=predicate:random_seed=3601097485: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)
% 3.22/1.14  % (3990611)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1736586307:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.22/1.14  % (3990610)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2138485082:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.22/1.14  % (3990609)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.22/1.14  % (3990612)Refutation not found, incomplete strategy
% 3.22/1.14  % (3990612)------------------------------
% 3.22/1.14  % (3990612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.14  % (3990612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.14  % (3990612)CaDiCaL version: 2.1.3
% 3.22/1.14  % (3990612)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.14  % (3990612)Time elapsed: 0.008 s
% 3.22/1.14  % (3990612)Peak memory usage: 88 MB
% 3.22/1.14  % (3990612)Instructions burned: 12 (million)
% 3.22/1.14  % (3990609)Refutation not found, incomplete strategy
% 3.22/1.14  % (3990609)------------------------------
% 3.22/1.14  % (3990609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.14  % (3990609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.14  % (3990609)CaDiCaL version: 2.1.3
% 3.22/1.14  % (3990609)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.14  % (3990609)Time elapsed: 0.015 s
% 3.22/1.14  % (3990609)Peak memory usage: 88 MB
% 3.22/1.14  % (3990609)Instructions burned: 24 (million)
% 3.22/1.14  % (3990610)Instruction limit reached! 
% 3.22/1.14  % (3990610)------------------------------
% 3.22/1.14  % (3990610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.14  % (3990610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.14  % (3990610)CaDiCaL version: 2.1.3
% 3.22/1.14  % (3990610)Termination reason: Instruction limit
% 3.22/1.14  % (3990610)Termination phase: Saturation
% 3.22/1.14  % (3990610)Time elapsed: 0.068 s
% 3.22/1.14  % (3990610)Peak memory usage: 88 MB
% 3.22/1.14  % (3990610)Instructions burned: 119 (million)
% 3.22/1.14  % (3990611)First to succeed.
% 3.22/1.14  % (3990611)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3990601"
% 3.22/1.14  % (3990608)Aborted by signal SIGSEGV on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.22/1.14  % (3990608)------------------------------
% 3.22/1.14  % (3990608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.14  % (3990608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.14  % (3990608)CaDiCaL version: 2.1.3
% 3.22/1.14  % (3990608)Termination reason: Unknown
% 3.22/1.14  % (3990608)Termination phase: Saturation
% 3.22/1.14  % (3990608)Time elapsed: 0.198 s
% 3.22/1.14  % (3990608)Peak memory usage: 113 MB
% 3.22/1.14  % (3990608)Instructions burned: 540 (million)
% 3.22/1.14  % (3990620)lrs+10_1_sil=8000:sp=occurrence:random_seed=537826008:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.22/1.14  % (3990620)Also succeeded, but the first one will report.
% 3.22/1.14  % (3990621)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3442349840:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 4.05/1.33  % (3990612)------------------------------
% 4.05/1.33  % (3990612)------------------------------
% 4.05/1.33  % (3990609)------------------------------
% 4.05/1.33  % (3990609)------------------------------
% 4.05/1.33  % (3990621)Instruction limit reached! 
% 4.05/1.33  % (3990621)------------------------------
% 4.05/1.33  % (3990621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.33  % (3990621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.33  % (3990621)CaDiCaL version: 2.1.3
% 4.05/1.33  % (3990621)Termination reason: Instruction limit
% 4.05/1.33  % (3990621)Termination phase: Saturation
% 4.05/1.33  % (3990621)Time elapsed: 0.047 s
% 4.05/1.33  % (3990621)Peak memory usage: 90 MB
% 4.05/1.33  % (3990621)Instructions burned: 160 (million)
% 4.05/1.33  % (3990611)Refutation found. Thanks to Tanya!
% 4.05/1.33  % SZS status Theorem for theBenchmark
% 4.05/1.33  % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.34  % (3990611)------------------------------
% 4.05/1.34  % (3990611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.05/1.34  % (3990611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.34  % (3990611)CaDiCaL version: 2.1.3
% 4.05/1.34  % (3990611)Termination reason: Refutation
% 4.05/1.34  % (3990611)Time elapsed: 0.071 s
% 4.05/1.34  % (3990611)Peak memory usage: 90 MB
% 4.05/1.34  % (3990611)Instructions burned: 114 (million)
% 4.05/1.34  % (3990611)------------------------------
% 4.05/1.34  % (3990611)------------------------------
% 4.05/1.34  % (3990601)Success in time 0.489 s
% 4.05/1.34  % Vampire exiting
%------------------------------------------------------------------------------