TSTP Solution File: ARI682_1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : ARI682_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 04:32:23 EDT 2024

% Result   : Theorem 1.29s 0.54s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   58 (  23 unt;   5 typ;   0 def)
%            Number of atoms       :   99 (  20 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   85 (  39   ~;  36   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   96 (  34 atm;  32 fun;  17 num;  13 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  10 usr;  11 prp; 0-2 aty)
%            Number of functors    :    9 (   5 usr;   7 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    b: $int ).

tff(func_def_1,type,
    a: $int ).

tff(func_def_7,type,
    sF0: $int ).

tff(func_def_8,type,
    sF1: $int ).

tff(func_def_9,type,
    sF2: $int ).

tff(f252,plain,
    $false,
    inference(avatar_smt_refutation,[],[f36,f40,f44,f48,f52,f56,f73,f93,f243,f251]) ).

tff(f251,plain,
    ( ~ spl3_1
    | ~ spl3_9 ),
    inference(avatar_contradiction_clause,[],[f250]) ).

tff(f250,plain,
    ( $false
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(subsumption_resolution,[],[f249,f12]) ).

tff(f12,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_150,[]) ).

tff(f249,plain,
    ( $less(sF1,sF1)
    | ~ spl3_1
    | ~ spl3_9 ),
    inference(backward_demodulation,[],[f35,f239]) ).

tff(f239,plain,
    ( ( sF1 = sF2 )
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f238]) ).

tff(f238,plain,
    ( spl3_9
  <=> ( sF1 = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

tff(f35,plain,
    ( $less(sF1,sF2)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f34]) ).

tff(f34,plain,
    ( spl3_1
  <=> $less(sF1,sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

tff(f243,plain,
    ( spl3_9
    | ~ spl3_10
    | ~ spl3_1
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f236,f54,f34,f241,f238]) ).

tff(f241,plain,
    ( spl3_10
  <=> $less(a,sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

tff(f54,plain,
    ( spl3_6
  <=> ( $sum(a,1) = sF2 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

tff(f236,plain,
    ( ( sF1 = sF2 )
    | ~ $less(a,sF1)
    | ~ spl3_1
    | ~ spl3_6 ),
    inference(subsumption_resolution,[],[f234,f12]) ).

tff(f234,plain,
    ( ~ $less(a,sF1)
    | ( sF1 = sF2 )
    | $less(sF2,sF2)
    | ~ spl3_1
    | ~ spl3_6 ),
    inference(superposition,[],[f226,f55]) ).

tff(f55,plain,
    ( ( $sum(a,1) = sF2 )
    | ~ spl3_6 ),
    inference(avatar_component_clause,[],[f54]) ).

tff(f226,plain,
    ( ! [X0: $int] :
        ( $less($sum(X0,1),sF2)
        | ( $sum(X0,1) = sF1 )
        | ~ $less(X0,sF1) )
    | ~ spl3_1 ),
    inference(resolution,[],[f160,f24]) ).

tff(f24,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,1))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_169,[]) ).

tff(f160,plain,
    ( ! [X0: $int] :
        ( $less(sF1,X0)
        | $less(X0,sF2)
        | ( sF1 = X0 ) )
    | ~ spl3_1 ),
    inference(resolution,[],[f98,f14]) ).

tff(f14,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_152,[]) ).

tff(f98,plain,
    ( ! [X0: $int] :
        ( ~ $less(X0,sF1)
        | $less(X0,sF2) )
    | ~ spl3_1 ),
    inference(resolution,[],[f13,f35]) ).

tff(f13,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | $less(X0,X2)
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_151,[]) ).

tff(f93,plain,
    ( spl3_8
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f60,f54,f91]) ).

tff(f91,plain,
    ( spl3_8
  <=> ( sF2 = $sum(1,a) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

tff(f60,plain,
    ( ( sF2 = $sum(1,a) )
    | ~ spl3_6 ),
    inference(superposition,[],[f7,f55]) ).

tff(f7,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_143,[]) ).

tff(f73,plain,
    ( spl3_7
    | ~ spl3_5 ),
    inference(avatar_split_clause,[],[f59,f50,f71]) ).

tff(f71,plain,
    ( spl3_7
  <=> ( sF1 = $sum(b,sF0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

tff(f50,plain,
    ( spl3_5
  <=> ( $sum(sF0,b) = sF1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

tff(f59,plain,
    ( ( sF1 = $sum(b,sF0) )
    | ~ spl3_5 ),
    inference(superposition,[],[f7,f51]) ).

tff(f51,plain,
    ( ( $sum(sF0,b) = sF1 )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f50]) ).

tff(f56,plain,
    spl3_6,
    inference(avatar_split_clause,[],[f31,f54]) ).

tff(f31,plain,
    $sum(a,1) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

tff(f52,plain,
    spl3_5,
    inference(avatar_split_clause,[],[f30,f50]) ).

tff(f30,plain,
    $sum(sF0,b) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

tff(f48,plain,
    spl3_4,
    inference(avatar_split_clause,[],[f29,f46]) ).

tff(f46,plain,
    ( spl3_4
  <=> ( $product(a,b) = sF0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

tff(f29,plain,
    $product(a,b) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

tff(f44,plain,
    ~ spl3_3,
    inference(avatar_split_clause,[],[f28,f42]) ).

tff(f42,plain,
    ( spl3_3
  <=> $less(a,0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

tff(f28,plain,
    ~ $less(a,0),
    inference(cnf_transformation,[],[f6]) ).

tff(f6,plain,
    ~ $less(a,0),
    inference(theory_normalization,[],[f2]) ).

tff(f2,axiom,
    $lesseq(0,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f40,plain,
    spl3_2,
    inference(avatar_split_clause,[],[f27,f38]) ).

tff(f38,plain,
    ( spl3_2
  <=> $less(a,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

tff(f27,plain,
    $less(a,b),
    inference(cnf_transformation,[],[f1]) ).

tff(f1,axiom,
    $less(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f36,plain,
    spl3_1,
    inference(avatar_split_clause,[],[f32,f34]) ).

tff(f32,plain,
    $less(sF1,sF2),
    inference(definition_folding,[],[f26,f31,f30,f29]) ).

tff(f26,plain,
    $less($sum($product(a,b),b),$sum(a,1)),
    inference(cnf_transformation,[],[f25]) ).

tff(f25,plain,
    $less($sum($product(a,b),b),$sum(a,1)),
    inference(flattening,[],[f5]) ).

tff(f5,plain,
    ~ ~ $less($sum($product(a,b),b),$sum(a,1)),
    inference(theory_normalization,[],[f4]) ).

tff(f4,negated_conjecture,
    ~ $lesseq($sum(a,1),$sum($product(a,b),b)),
    inference(negated_conjecture,[],[f3]) ).

tff(f3,conjecture,
    $lesseq($sum(a,1),$sum($product(a,b),b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : ARI682_1 : TPTP v8.2.0. Released v6.3.0.
% 0.08/0.13  % Command    : run_vampire %s %d THM
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri Jun 21 05:16:39 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.36  This is a TF0_THM_NEQ_ARI problem
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42  % (21098)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (21102)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.42  % (21098)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (21104)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.42  % (21098)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (21101)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.42  % (21098)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (21100)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.42  % (21098)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (21099)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.21/0.42  % (21098)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (21103)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.43  % (21098)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (21105)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.21/0.43  % (21102)Instruction limit reached!
% 0.21/0.43  % (21102)------------------------------
% 0.21/0.43  % (21102)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43  % (21102)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43  % (21102)Termination reason: Time limit
% 0.21/0.43  % (21102)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (21102)Memory used [KB]: 747
% 0.21/0.43  % (21102)Time elapsed: 0.003 s
% 0.21/0.43  % (21102)Instructions burned: 2 (million)
% 0.21/0.43  % (21101)Instruction limit reached!
% 0.21/0.43  % (21101)------------------------------
% 0.21/0.43  % (21101)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43  % (21101)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43  % (21101)Termination reason: Time limit
% 0.21/0.43  % (21101)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (21101)Memory used [KB]: 882
% 0.21/0.43  % (21101)Time elapsed: 0.009 s
% 0.21/0.43  % (21101)Instructions burned: 9 (million)
% 0.21/0.44  % (21104)Instruction limit reached!
% 0.21/0.44  % (21104)------------------------------
% 0.21/0.44  % (21104)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.44  % (21104)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.44  % (21104)Termination reason: Time limit
% 0.21/0.44  % (21104)Termination phase: Saturation
% 0.21/0.44  
% 0.21/0.44  % (21104)Memory used [KB]: 912
% 0.21/0.44  % (21104)Time elapsed: 0.013 s
% 0.21/0.44  % (21104)Instructions burned: 15 (million)
% 0.21/0.45  % (21105)Instruction limit reached!
% 0.21/0.45  % (21105)------------------------------
% 0.21/0.45  % (21105)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (21105)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (21105)Termination reason: Time limit
% 0.21/0.45  % (21105)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (21105)Memory used [KB]: 1087
% 0.21/0.45  % (21105)Time elapsed: 0.022 s
% 0.21/0.45  % (21105)Instructions burned: 32 (million)
% 0.21/0.45  % (21100)Instruction limit reached!
% 0.21/0.45  % (21100)------------------------------
% 0.21/0.45  % (21100)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (21100)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (21100)Termination reason: Time limit
% 0.21/0.45  % (21100)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (21100)Memory used [KB]: 1015
% 0.21/0.45  % (21100)Time elapsed: 0.025 s
% 0.21/0.45  % (21100)Instructions burned: 34 (million)
% 0.21/0.45  % (21103)Instruction limit reached!
% 0.21/0.45  % (21103)------------------------------
% 0.21/0.45  % (21103)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.45  % (21103)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.45  % (21103)Termination reason: Time limit
% 0.21/0.45  % (21103)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (21103)Memory used [KB]: 1132
% 0.21/0.45  % (21103)Time elapsed: 0.027 s
% 0.21/0.45  % (21103)Instructions burned: 37 (million)
% 0.21/0.51  % (21098)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51  % (21109)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.21/0.51  % (21098)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51  % (21116)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51  % (21116)Instruction limit reached!
% 0.21/0.51  % (21116)------------------------------
% 0.21/0.51  % (21116)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.51  % (21116)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.51  % (21116)Termination reason: Time limit
% 0.21/0.51  % (21116)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (21116)Memory used [KB]: 776
% 0.21/0.51  % (21116)Time elapsed: 0.003 s
% 0.21/0.51  % (21116)Instructions burned: 3 (million)
% 1.14/0.52  % (21098)Running in auto input_syntax mode. Trying TPTP
% 1.14/0.52  % (21123)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.14/0.52  % (21123)Instruction limit reached!
% 1.14/0.52  % (21123)------------------------------
% 1.14/0.52  % (21123)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.14/0.52  % (21123)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.14/0.52  % (21123)Termination reason: Time limit
% 1.14/0.52  % (21123)Termination phase: Saturation
% 1.14/0.52  
% 1.14/0.52  % (21123)Memory used [KB]: 841
% 1.14/0.52  % (21123)Time elapsed: 0.003 s
% 1.14/0.52  % (21123)Instructions burned: 4 (million)
% 1.14/0.53  % (21098)Running in auto input_syntax mode. Trying TPTP
% 1.14/0.53  % (21122)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 1.14/0.53  % (21098)Running in auto input_syntax mode. Trying TPTP
% 1.14/0.53  % (21113)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 1.14/0.53  % (21109)Instruction limit reached!
% 1.14/0.53  % (21109)------------------------------
% 1.14/0.53  % (21109)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.14/0.53  % (21109)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.14/0.53  % (21109)Termination reason: Time limit
% 1.14/0.53  % (21109)Termination phase: Saturation
% 1.14/0.53  
% 1.14/0.53  % (21109)Memory used [KB]: 1050
% 1.14/0.53  % (21109)Time elapsed: 0.022 s
% 1.14/0.53  % (21109)Instructions burned: 37 (million)
% 1.29/0.54  % (21099)First to succeed.
% 1.29/0.54  % (21099)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21098"
% 1.29/0.54  % (21122)Instruction limit reached!
% 1.29/0.54  % (21122)------------------------------
% 1.29/0.54  % (21122)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.54  % (21122)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.54  % (21122)Termination reason: Time limit
% 1.29/0.54  % (21122)Termination phase: Saturation
% 1.29/0.54  
% 1.29/0.54  % (21122)Memory used [KB]: 932
% 1.29/0.54  % (21122)Time elapsed: 0.015 s
% 1.29/0.54  % (21122)Instructions burned: 38 (million)
% 1.29/0.54  % (21098)Running in auto input_syntax mode. Trying TPTP
% 1.29/0.54  % (21099)Refutation found. Thanks to Tanya!
% 1.29/0.54  % SZS status Theorem for theBenchmark
% 1.29/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.54  % (21099)------------------------------
% 1.29/0.54  % (21099)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.29/0.54  % (21099)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.29/0.54  % (21099)Termination reason: Refutation
% 1.29/0.54  
% 1.29/0.54  % (21099)Memory used [KB]: 903
% 1.29/0.54  % (21099)Time elapsed: 0.114 s
% 1.29/0.54  % (21099)Instructions burned: 161 (million)
% 1.29/0.54  % (21099)------------------------------
% 1.29/0.54  % (21099)------------------------------
% 1.29/0.54  % (21098)Success in time 0.169 s
%------------------------------------------------------------------------------