TSTP Solution File: DAT073_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : DAT073_1 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n010.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 : Wed Aug 31 16:04:49 EDT 2022

% Result   : Theorem 2.36s 0.67s
% Output   : Refutation 2.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   57 (  19 unt;  12 typ;   0 def)
%            Number of atoms       :  100 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  101 (  46   ~;  32   |;  11   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  228 (  75 atm;  21 fun;  57 num;  75 var)
%            Number of types       :    3 (   1 usr;   1 ari)
%            Number of type conns  :   25 (  11   >;  14   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   95 (  95   !;   0   ?;  95   :)

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

tff(func_def_0,type,
    read: ( array * $int ) > $int ).

tff(func_def_1,type,
    write: ( array * $int * $int ) > array ).

tff(func_def_2,type,
    init: $int > array ).

tff(func_def_3,type,
    max: ( array * $int ) > $int ).

tff(func_def_5,type,
    rev: ( array * $int ) > array ).

tff(func_def_10,type,
    sK0: ( array * $int * $int ) > $int ).

tff(func_def_11,type,
    sK1: ( array * array ) > $int ).

tff(func_def_12,type,
    sK2: ( array * array * $int ) > $int ).

tff(pred_def_4,type,
    sorted: ( array * $int ) > $o ).

tff(pred_def_6,type,
    inRange: ( array * $int * $int ) > $o ).

tff(pred_def_7,type,
    distinct: ( array * $int ) > $o ).

tff(f426,plain,
    $false,
    inference(resolution,[],[f414,f220]) ).

tff(f220,plain,
    ! [X2: $int] : ~ $less($sum(3,X2),X2),
    inference(evaluation,[],[f213]) ).

tff(f213,plain,
    ! [X2: $int] : ~ $less($sum(2,$sum(X2,1)),X2),
    inference(resolution,[],[f177,f118]) ).

tff(f118,plain,
    ! [X3: $int,X4: $int] :
      ( $less(X3,$sum(X4,1))
      | ~ $less(X3,X4) ),
    inference(resolution,[],[f24,f88]) ).

tff(f88,plain,
    ! [X0: $int] : $less(X0,$sum(X0,1)),
    inference(resolution,[],[f27,f23]) ).

tff(f23,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f27,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

tff(f24,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X1,X2)
      | ~ $less(X0,X1)
      | $less(X0,X2) ),
    introduced(theory_axiom_148,[]) ).

tff(f177,plain,
    ! [X2: $int] : ~ $less($sum(2,X2),X2),
    inference(evaluation,[],[f169]) ).

tff(f169,plain,
    ! [X2: $int] : ~ $less($sum($sum(X2,1),1),X2),
    inference(resolution,[],[f156,f118]) ).

tff(f156,plain,
    ! [X0: $int] : ~ $less($sum(X0,1),X0),
    inference(resolution,[],[f118,f23]) ).

tff(f414,plain,
    ! [X0: $int] : $less(X0,1),
    inference(evaluation,[],[f398]) ).

tff(f398,plain,
    ! [X0: $int] :
      ( $less(0,0)
      | $less(X0,1) ),
    inference(resolution,[],[f397,f91]) ).

tff(f91,plain,
    ! [X4: $int] :
      ( $less(0,X4)
      | $less(X4,1) ),
    inference(superposition,[],[f27,f81]) ).

tff(f81,plain,
    ! [X0: $int] : ( $sum(0,X0) = X0 ),
    inference(superposition,[],[f20,f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f20,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f397,plain,
    ! [X6: $int,X5: $int] :
      ( ~ $less(X5,X6)
      | $less(X5,0) ),
    inference(evaluation,[],[f393]) ).

tff(f393,plain,
    ! [X6: $int,X5: $int] :
      ( ~ $less(X5,X6)
      | $less(X5,0)
      | $less(0,0) ),
    inference(resolution,[],[f378,f111]) ).

tff(f111,plain,
    ! [X2: $int] :
      ( $less(X2,0)
      | $less(-1,X2) ),
    inference(evaluation,[],[f110]) ).

tff(f110,plain,
    ! [X2: $int] :
      ( $less($uminus(1),X2)
      | $less(X2,0) ),
    inference(superposition,[],[f27,f77]) ).

tff(f77,plain,
    ! [X0: $int] : ( 0 = $sum($uminus(X0),X0) ),
    inference(superposition,[],[f22,f28]) ).

tff(f28,plain,
    ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
    introduced(theory_axiom_153,[]) ).

tff(f22,plain,
    ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f378,plain,
    ! [X6: $int,X4: $int,X5: $int] :
      ( ~ $less(X5,0)
      | ~ $less(X4,X6)
      | $less(X4,0) ),
    inference(superposition,[],[f365,f68]) ).

tff(f68,plain,
    ! [X2: array,X0: $int,X1: $int] : ( read(write(X2,X1,X0),X1) = X0 ),
    inference(cnf_transformation,[],[f53]) ).

tff(f53,plain,
    ! [X0: $int,X1: $int,X2: array] : ( read(write(X2,X1,X0),X1) = X0 ),
    inference(rectify,[],[f38]) ).

tff(f38,plain,
    ! [X1: $int,X0: $int,X2: array] : ( read(write(X2,X0,X1),X0) = X1 ),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ! [X1: $int,X2: $int,X0: array] : ( read(write(X0,X1,X2),X1) = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

tff(f365,plain,
    ! [X2: $int,X0: array,X1: $int] :
      ( ~ $less(read(X0,X1),0)
      | ~ $less(X1,X2)
      | $less(X1,0) ),
    inference(subsumption_resolution,[],[f364,f24]) ).

tff(f364,plain,
    ! [X2: $int,X0: array,X1: $int] :
      ( ~ $less(X1,X2)
      | $less(X1,0)
      | $less(X2,0)
      | ~ $less(read(X0,X1),0) ),
    inference(resolution,[],[f61,f65]) ).

tff(f65,plain,
    ! [X0: $int,X1: array] :
      ( inRange(X1,max(X1,X0),X0)
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f41]) ).

tff(f41,plain,
    ! [X0: $int,X1: array] :
      ( inRange(X1,max(X1,X0),X0)
      | $less(X0,0) ),
    inference(ennf_transformation,[],[f31]) ).

tff(f31,plain,
    ! [X0: $int,X1: array] :
      ( ~ $less(X0,0)
     => inRange(X1,max(X1,X0),X0) ),
    inference(rectify,[],[f13]) ).

tff(f13,plain,
    ! [X5: $int,X0: array] :
      ( ~ $less(X5,0)
     => inRange(X0,max(X0,X5),X5) ),
    inference(theory_normalization,[],[f11]) ).

tff(f11,negated_conjecture,
    ~ ~ ! [X5: $int,X0: array] :
          ( $greatereq(X5,0)
         => inRange(X0,max(X0,X5),X5) ),
    inference(negated_conjecture,[],[f10]) ).

tff(f10,conjecture,
    ~ ! [X5: $int,X0: array] :
        ( $greatereq(X5,0)
       => inRange(X0,max(X0,X5),X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).

tff(f61,plain,
    ! [X2: $int,X3: $int,X0: array,X1: $int] :
      ( ~ inRange(X0,X2,X1)
      | ~ $less(read(X0,X3),0)
      | $less(X3,0)
      | ~ $less(X3,X1) ),
    inference(cnf_transformation,[],[f48]) ).

tff(f48,plain,
    ! [X0: array,X1: $int,X2: $int] :
      ( ~ inRange(X0,X2,X1)
      | ! [X3: $int] :
          ( ~ $less(X3,X1)
          | ( ~ $less(read(X0,X3),0)
            & ~ $less(X2,read(X0,X3)) )
          | $less(X3,0) ) ),
    inference(rectify,[],[f46]) ).

tff(f46,plain,
    ! [X2: array,X1: $int,X0: $int] :
      ( ~ inRange(X2,X0,X1)
      | ! [X3: $int] :
          ( ~ $less(X3,X1)
          | ( ~ $less(read(X2,X3),0)
            & ~ $less(X0,read(X2,X3)) )
          | $less(X3,0) ) ),
    inference(flattening,[],[f45]) ).

tff(f45,plain,
    ! [X1: $int,X2: array,X0: $int] :
      ( ! [X3: $int] :
          ( ( ~ $less(read(X2,X3),0)
            & ~ $less(X0,read(X2,X3)) )
          | $less(X3,0)
          | ~ $less(X3,X1) )
      | ~ inRange(X2,X0,X1) ),
    inference(ennf_transformation,[],[f40]) ).

tff(f40,plain,
    ! [X1: $int,X2: array,X0: $int] :
      ( inRange(X2,X0,X1)
     => ! [X3: $int] :
          ( ( ~ $less(X3,0)
            & $less(X3,X1) )
         => ( ~ $less(read(X2,X3),0)
            & ~ $less(X0,read(X2,X3)) ) ) ),
    inference(unused_predicate_definition_removal,[],[f30]) ).

tff(f30,plain,
    ! [X1: $int,X2: array,X0: $int] :
      ( inRange(X2,X0,X1)
    <=> ! [X3: $int] :
          ( ( ~ $less(X3,0)
            & $less(X3,X1) )
         => ( ~ $less(read(X2,X3),0)
            & ~ $less(X0,read(X2,X3)) ) ) ),
    inference(rectify,[],[f12]) ).

tff(f12,plain,
    ! [X7: $int,X5: $int,X0: array] :
      ( ! [X1: $int] :
          ( ( $less(X1,X5)
            & ~ $less(X1,0) )
         => ( ~ $less(read(X0,X1),0)
            & ~ $less(X7,read(X0,X1)) ) )
    <=> inRange(X0,X7,X5) ),
    inference(theory_normalization,[],[f7]) ).

tff(f7,axiom,
    ! [X7: $int,X5: $int,X0: array] :
      ( ! [X1: $int] :
          ( ( $greater(X5,X1)
            & $greatereq(X1,0) )
         => ( $greatereq(read(X0,X1),0)
            & $greatereq(X7,read(X0,X1)) ) )
    <=> inRange(X0,X7,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inRange) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : DAT073=1 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n010.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   : Mon Aug 29 20:13:14 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.55  % (23972)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56  % (23973)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  % (23965)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57  % (23968)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57  % (23968)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.57  % (23968)Terminated due to inappropriate strategy.
% 0.20/0.57  % (23968)------------------------------
% 0.20/0.57  % (23968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (23968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (23968)Termination reason: Inappropriate
% 0.20/0.57  
% 0.20/0.57  % (23968)Memory used [KB]: 895
% 0.20/0.57  % (23968)Time elapsed: 0.003 s
% 0.20/0.57  % (23968)Instructions burned: 2 (million)
% 0.20/0.57  % (23968)------------------------------
% 0.20/0.57  % (23968)------------------------------
% 0.20/0.57  % (23967)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.58  % (23974)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.68/0.58  % (23978)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.68/0.58  % (23983)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.68/0.58  % (23975)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.68/0.59  % (23964)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.97/0.60  % (23962)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.97/0.60  % (23977)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.97/0.60  % (23984)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.97/0.60  % (23962)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.97/0.60  % (23962)Terminated due to inappropriate strategy.
% 1.97/0.60  % (23962)------------------------------
% 1.97/0.60  % (23962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.60  % (23962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.60  % (23962)Termination reason: Inappropriate
% 1.97/0.60  
% 1.97/0.60  % (23962)Memory used [KB]: 895
% 1.97/0.60  % (23962)Time elapsed: 0.004 s
% 1.97/0.60  % (23962)Instructions burned: 2 (million)
% 1.97/0.60  % (23962)------------------------------
% 1.97/0.60  % (23962)------------------------------
% 1.97/0.60  % (23963)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.97/0.60  % (23966)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.97/0.61  % (23985)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.97/0.61  % (23976)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.97/0.61  % (23979)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.97/0.62  % (23987)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.97/0.62  % (23970)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.97/0.62  % (23970)Instruction limit reached!
% 1.97/0.62  % (23970)------------------------------
% 1.97/0.62  % (23970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.62  % (23970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.62  % (23970)Termination reason: Unknown
% 1.97/0.62  % (23970)Termination phase: Including theory axioms
% 1.97/0.62  
% 1.97/0.62  % (23970)Memory used [KB]: 895
% 1.97/0.62  % (23970)Time elapsed: 0.004 s
% 1.97/0.62  % (23970)Instructions burned: 2 (million)
% 1.97/0.62  % (23970)------------------------------
% 1.97/0.62  % (23970)------------------------------
% 1.97/0.62  % (23988)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.97/0.62  % (23979)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.97/0.62  % (23979)Terminated due to inappropriate strategy.
% 1.97/0.62  % (23979)------------------------------
% 1.97/0.62  % (23979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.62  % (23979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.62  % (23979)Termination reason: Inappropriate
% 1.97/0.62  
% 1.97/0.62  % (23979)Memory used [KB]: 895
% 1.97/0.62  % (23979)Time elapsed: 0.007 s
% 1.97/0.62  % (23979)Instructions burned: 3 (million)
% 1.97/0.62  % (23979)------------------------------
% 1.97/0.62  % (23979)------------------------------
% 1.97/0.62  % (23980)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.97/0.62  % (23969)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.97/0.62  % (23981)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.97/0.62  % (23982)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.97/0.63  % (23991)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.97/0.63  % (23990)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.97/0.64  % (23989)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.97/0.64  % (23986)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.97/0.64  % (23969)Instruction limit reached!
% 1.97/0.64  % (23969)------------------------------
% 1.97/0.64  % (23969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.65  % (23971)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.97/0.65  % (23969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.65  % (23969)Termination reason: Unknown
% 1.97/0.65  % (23969)Termination phase: Saturation
% 1.97/0.65  
% 1.97/0.65  % (23969)Memory used [KB]: 5500
% 1.97/0.65  % (23969)Time elapsed: 0.167 s
% 1.97/0.65  % (23969)Instructions burned: 7 (million)
% 1.97/0.65  % (23969)------------------------------
% 1.97/0.65  % (23969)------------------------------
% 2.36/0.65  % (23977)First to succeed.
% 2.36/0.65  % (23967)Instruction limit reached!
% 2.36/0.65  % (23967)------------------------------
% 2.36/0.65  % (23967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.66  % (23972)Instruction limit reached!
% 2.36/0.66  % (23972)------------------------------
% 2.36/0.66  % (23972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.66  % (23972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.66  % (23972)Termination reason: Unknown
% 2.36/0.66  % (23972)Termination phase: Saturation
% 2.36/0.66  
% 2.36/0.66  % (23972)Memory used [KB]: 6268
% 2.36/0.66  % (23972)Time elapsed: 0.238 s
% 2.36/0.66  % (23972)Instructions burned: 51 (million)
% 2.36/0.66  % (23972)------------------------------
% 2.36/0.66  % (23972)------------------------------
% 2.36/0.67  % (23977)Refutation found. Thanks to Tanya!
% 2.36/0.67  % SZS status Theorem for theBenchmark
% 2.36/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.36/0.67  % (23977)------------------------------
% 2.36/0.67  % (23977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.36/0.67  % (23977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.36/0.67  % (23977)Termination reason: Refutation
% 2.36/0.67  
% 2.36/0.67  % (23977)Memory used [KB]: 1279
% 2.36/0.67  % (23977)Time elapsed: 0.180 s
% 2.36/0.67  % (23977)Instructions burned: 21 (million)
% 2.36/0.67  % (23977)------------------------------
% 2.36/0.67  % (23977)------------------------------
% 2.36/0.67  % (23961)Success in time 0.319 s
%------------------------------------------------------------------------------