%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT071_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:47:14 AM UTC 2026
% Result : Theorem 1.18s 0.98s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of formulae : 68 ( 23 unt; 0 typ; 15 def)
% Number of atoms : 223 ( 48 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 250 ( 95 ~; 62 |; 68 &)
% ( 13 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 208 ( 112 atm; 0 fun; 43 num; 53 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 16 usr; 14 prp; 0-3 aty)
% Number of functors : 17 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 60 ( 34 !; 26 ?; 60 :)
% 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: $int ).
tff(func_def_11,type,
sK1: $int ).
tff(func_def_12,type,
sK2: array ).
tff(func_def_13,type,
sK3: $int ).
tff(func_def_14,type,
sK4: $int ).
tff(func_def_15,type,
sK5: $int ).
tff(func_def_16,type,
sK6: ( $int * array * $int ) > $int ).
tff(func_def_17,type,
sK7: ( array * array ) > $int ).
tff(func_def_18,type,
sK8: ( array * $int * array ) > $int ).
tff(func_def_19,type,
sF9: $int ).
tff(func_def_20,type,
sF10: $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(f10,conjecture,
! [X1: $int,X0: array,X3: $int,X2: $int] :
( ( ! [X4: $int] :
( ( $greatereq(X4,0)
& $greater(X1,X4) )
=> $lesseq(read(X0,X4),X3) )
& ? [X4: $int] :
( $greater(X1,X4)
& $greatereq(X4,0)
& ( read(X0,X4) = X3 ) )
& ! [X4: $int] :
( ( $greatereq(X4,0)
& $greater(X1,X4) )
=> $lesseq(read(X0,X4),X2) )
& ? [X4: $int] :
( $greatereq(X4,0)
& ( read(X0,X4) = X2 )
& $greater(X1,X4) ) )
=> ( X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c) ).
tff(f11,negated_conjecture,
~ ! [X1: $int,X0: array,X3: $int,X2: $int] :
( ( ! [X4: $int] :
( ( $greatereq(X4,0)
& $greater(X1,X4) )
=> $lesseq(read(X0,X4),X3) )
& ? [X4: $int] :
( $greater(X1,X4)
& $greatereq(X4,0)
& ( read(X0,X4) = X3 ) )
& ! [X4: $int] :
( ( $greatereq(X4,0)
& $greater(X1,X4) )
=> $lesseq(read(X0,X4),X2) )
& ? [X4: $int] :
( $greatereq(X4,0)
& ( read(X0,X4) = X2 )
& $greater(X1,X4) ) )
=> ( X2 = X3 ) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
tff(f14,plain,
~ ! [X1: $int,X0: array,X3: $int,X2: $int] :
( ( ! [X4: $int] :
( ( ~ $less(X4,0)
& $less(X4,X1) )
=> ~ $less(X3,read(X0,X4)) )
& ? [X4: $int] :
( $less(X4,X1)
& ~ $less(X4,0)
& ( read(X0,X4) = X3 ) )
& ! [X4: $int] :
( ( ~ $less(X4,0)
& $less(X4,X1) )
=> ~ $less(X2,read(X0,X4)) )
& ? [X4: $int] :
( ~ $less(X4,0)
& ( read(X0,X4) = X2 )
& $less(X4,X1) ) )
=> ( X2 = X3 ) ),
inference(theory_normalization,[],[f11]) ).
tff(f21,plain,
~ ! [X0: $int,X3: $int,X2: $int,X1: array] :
( ( ! [X4: $int] :
( ( $less(X4,X0)
& ~ $less(X4,0) )
=> ~ $less(X2,read(X1,X4)) )
& ? [X5: $int] :
( $less(X5,X0)
& ( read(X1,X5) = X2 )
& ~ $less(X5,0) )
& ? [X7: $int] :
( ~ $less(X7,0)
& ( read(X1,X7) = X3 )
& $less(X7,X0) )
& ! [X6: $int] :
( ( $less(X6,X0)
& ~ $less(X6,0) )
=> ~ $less(X3,read(X1,X6)) ) )
=> ( X2 = X3 ) ),
inference(rectify,[],[f14]) ).
tff(f30,plain,
? [X0: $int,X3: $int,X2: $int,X1: array] :
( ( X2 != X3 )
& ! [X4: $int] :
( ~ $less(X2,read(X1,X4))
| ~ $less(X4,X0)
| $less(X4,0) )
& ? [X5: $int] :
( $less(X5,X0)
& ( read(X1,X5) = X2 )
& ~ $less(X5,0) )
& ? [X7: $int] :
( ~ $less(X7,0)
& ( read(X1,X7) = X3 )
& $less(X7,X0) )
& ! [X6: $int] :
( ~ $less(X3,read(X1,X6))
| ~ $less(X6,X0)
| $less(X6,0) ) ),
inference(ennf_transformation,[],[f21]) ).
tff(f31,plain,
? [X2: $int,X0: $int,X1: array,X3: $int] :
( ? [X5: $int] :
( $less(X5,X0)
& ( read(X1,X5) = X2 )
& ~ $less(X5,0) )
& ! [X6: $int] :
( ~ $less(X3,read(X1,X6))
| ~ $less(X6,X0)
| $less(X6,0) )
& ( X2 != X3 )
& ! [X4: $int] :
( ~ $less(X4,X0)
| $less(X4,0)
| ~ $less(X2,read(X1,X4)) )
& ? [X7: $int] :
( ~ $less(X7,0)
& ( read(X1,X7) = X3 )
& $less(X7,X0) ) ),
inference(flattening,[],[f30]) ).
tff(f33,plain,
? [X0: $int,X1: $int,X2: array,X3: $int] :
( ? [X4: $int] :
( $less(X4,X1)
& ( read(X2,X4) = X0 )
& ~ $less(X4,0) )
& ! [X5: $int] :
( ~ $less(X3,read(X2,X5))
| ~ $less(X5,X1)
| $less(X5,0) )
& ( X0 != X3 )
& ! [X6: $int] :
( ~ $less(X6,X1)
| $less(X6,0)
| ~ $less(X0,read(X2,X6)) )
& ? [X7: $int] :
( ~ $less(X7,0)
& ( read(X2,X7) = X3 )
& $less(X7,X1) ) ),
inference(rectify,[],[f31]) ).
tff(f34,plain,
( $less(sK4,sK1)
& ( read(sK2,sK4) = sK0 )
& ~ $less(sK4,0)
& ! [X5: $int] :
( ~ $less(sK3,read(sK2,X5))
| ~ $less(X5,sK1)
| $less(X5,0) )
& ( sK3 != sK0 )
& ! [X6: $int] :
( ~ $less(X6,sK1)
| $less(X6,0)
| ~ $less(sK0,read(sK2,X6)) )
& ~ $less(sK5,0)
& ( read(sK2,sK5) = sK3 )
& $less(sK5,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X7,sK5)],[f33]) ).
tff(f44,plain,
$less(sK5,sK1),
inference(cnf_transformation,[],[f34]) ).
tff(f45,plain,
read(sK2,sK5) = sK3,
inference(cnf_transformation,[],[f34]) ).
tff(f46,plain,
~ $less(sK5,0),
inference(cnf_transformation,[],[f34]) ).
tff(f47,plain,
! [X6: $int] :
( ~ $less(sK0,read(sK2,X6))
| ~ $less(X6,sK1)
| $less(X6,0) ),
inference(cnf_transformation,[],[f34]) ).
tff(f48,plain,
sK3 != sK0,
inference(cnf_transformation,[],[f34]) ).
tff(f49,plain,
! [X5: $int] :
( ~ $less(sK3,read(sK2,X5))
| $less(X5,0)
| ~ $less(X5,sK1) ),
inference(cnf_transformation,[],[f34]) ).
tff(f50,plain,
~ $less(sK4,0),
inference(cnf_transformation,[],[f34]) ).
tff(f51,plain,
read(sK2,sK4) = sK0,
inference(cnf_transformation,[],[f34]) ).
tff(f52,plain,
$less(sK4,sK1),
inference(cnf_transformation,[],[f34]) ).
tff(f64,definition,
sF9 = read(sK2,sK4),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
tff(f65,plain,
read(sK2,sK4) = sF9,
inference(reorient_equations,[],[f64]) ).
tff(f66,plain,
sK0 = sF9,
inference(definition_folding,[],[f51,f65]) ).
tff(f67,definition,
sF10 = read(sK2,sK5),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
tff(f68,plain,
read(sK2,sK5) = sF10,
inference(reorient_equations,[],[f67]) ).
tff(f69,plain,
sK3 = sF10,
inference(definition_folding,[],[f45,f68]) ).
tff(f71,definition,
( spl11_1
<=> ( read(sK2,sK4) = sF9 ) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
tff(f73,plain,
( ( read(sK2,sK4) = sF9 )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f74,plain,
spl11_1,
inference(avatar_split_clause,[],[f65,f71]) ).
tff(f76,definition,
( spl11_2
<=> ( sK0 = sF9 ) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
tff(f78,plain,
( ( sK0 = sF9 )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f76]) ).
tff(f79,plain,
spl11_2,
inference(avatar_split_clause,[],[f66,f76]) ).
tff(f81,definition,
( spl11_3
<=> $less(sK5,0) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
tff(f83,plain,
( ~ $less(sK5,0)
| spl11_3 ),
inference(avatar_component_clause,[],[f81]) ).
tff(f84,plain,
~ spl11_3,
inference(avatar_split_clause,[],[f46,f81]) ).
tff(f86,definition,
( spl11_4
<=> $less(sK5,sK1) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
tff(f88,plain,
( $less(sK5,sK1)
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f89,plain,
spl11_4,
inference(avatar_split_clause,[],[f44,f86]) ).
tff(f91,definition,
( spl11_5
<=> ( sK3 = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
tff(f94,plain,
~ spl11_5,
inference(avatar_split_clause,[],[f48,f91]) ).
tff(f96,definition,
( spl11_6
<=> ( read(sK2,sK5) = sF10 ) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
tff(f98,plain,
( ( read(sK2,sK5) = sF10 )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f96]) ).
tff(f99,plain,
spl11_6,
inference(avatar_split_clause,[],[f68,f96]) ).
tff(f101,definition,
( spl11_7
<=> $less(sK4,sK1) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
tff(f103,plain,
( $less(sK4,sK1)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f101]) ).
tff(f104,plain,
spl11_7,
inference(avatar_split_clause,[],[f52,f101]) ).
tff(f106,definition,
( spl11_8
<=> $less(sK4,0) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
tff(f108,plain,
( ~ $less(sK4,0)
| spl11_8 ),
inference(avatar_component_clause,[],[f106]) ).
tff(f109,plain,
~ spl11_8,
inference(avatar_split_clause,[],[f50,f106]) ).
tff(f111,definition,
( spl11_9
<=> ( sK3 = sF10 ) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
tff(f113,plain,
( ( sK3 = sF10 )
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f111]) ).
tff(f114,plain,
spl11_9,
inference(avatar_split_clause,[],[f69,f111]) ).
tff(f115,plain,
( ( read(sK2,sK4) = sK0 )
| ~ spl11_1
| ~ spl11_2 ),
inference(forward_demodulation,[],[f73,f78]) ).
tff(f117,definition,
( spl11_10
<=> ( read(sK2,sK4) = sK0 ) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
tff(f119,plain,
( ( read(sK2,sK4) = sK0 )
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f117]) ).
tff(f120,plain,
( spl11_10
| ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f115,f76,f71,f117]) ).
tff(f121,plain,
( ~ $less(sK4,sK1)
| ~ $less(sK3,sK0)
| $less(sK4,0)
| ~ spl11_10 ),
inference(superposition,[],[f49,f119]) ).
tff(f123,plain,
( $less(sK4,0)
| ~ $less(sK3,sK0)
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_subsumption_resolution,[],[f121,f103]) ).
tff(f125,plain,
( ~ $less(sK3,sK0)
| ~ spl11_7
| spl11_8
| ~ spl11_10 ),
inference(forward_subsumption_resolution,[],[f123,f108]) ).
tff(f128,definition,
( spl11_11
<=> $less(sK3,sK0) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
tff(f131,plain,
( ~ spl11_11
| ~ spl11_7
| spl11_8
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f125,f117,f106,f101,f128]) ).
tff(f137,plain,
( ( read(sK2,sK5) = sK3 )
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_demodulation,[],[f98,f113]) ).
tff(f139,definition,
( spl11_13
<=> ( read(sK2,sK5) = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
tff(f141,plain,
( ( read(sK2,sK5) = sK3 )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f139]) ).
tff(f142,plain,
( spl11_13
| ~ spl11_6
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f137,f111,f96,f139]) ).
tff(f144,plain,
( ~ $less(sK0,sK3)
| $less(sK5,0)
| ~ $less(sK5,sK1)
| ~ spl11_13 ),
inference(superposition,[],[f47,f141]) ).
tff(f145,plain,
( ~ $less(sK5,sK1)
| ~ $less(sK0,sK3)
| spl11_3
| ~ spl11_13 ),
inference(forward_subsumption_resolution,[],[f144,f83]) ).
tff(f147,plain,
( ~ $less(sK0,sK3)
| spl11_3
| ~ spl11_4
| ~ spl11_13 ),
inference(forward_subsumption_resolution,[],[f145,f88]) ).
tff(f150,definition,
( spl11_14
<=> $less(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
tff(f153,plain,
( ~ spl11_14
| spl11_3
| ~ spl11_4
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f147,f139,f86,f81,f150]) ).
tff(f159,plain,
$false,
inference(avatar_smt_refutation,[],[f153,f142,f131,f120,f114,f109,f104,f99,f94,f89,f84,f79,f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT071_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 00:08:34 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 1.18/0.98 % (699979)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 1.18/0.98 % (700037)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=344549597:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 1.18/0.98 % (700037)First to succeed.
% 1.18/0.98 % (700037)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-699979"
% 1.18/0.98 % (700038)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2596696837:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 1.18/0.98 % (700039)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3769852019:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 1.18/0.98 % (700036)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=282770222:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 1.18/0.98 % (700040)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1047323725:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 1.18/0.98 % (700042)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3431317720:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 1.18/0.98 % (700041)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3763185048:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 1.18/0.98 % (700040)Instruction limit reached!
% 1.18/0.98 % (700040)------------------------------
% 1.18/0.98 % (700040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.18/0.98 % (700040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.98 % (700040)CaDiCaL version: 2.1.3
% 1.18/0.98 % (700040)Termination reason: Instruction limit
% 1.18/0.98 % (700040)Termination phase: Saturation
% 1.18/0.98 % (700040)Time elapsed: 0.004 s
% 1.18/0.98 % (700040)Peak memory usage: 88 MB
% 1.18/0.98 % (700040)Instructions burned: 5 (million)
% 1.18/0.98 % (700039)Instruction limit reached!
% 1.18/0.98 % (700039)------------------------------
% 1.18/0.98 % (700039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.18/0.98 % (700039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.98 % (700039)CaDiCaL version: 2.1.3
% 1.18/0.98 % (700039)Termination reason: Instruction limit
% 1.18/0.98 % (700039)Termination phase: Saturation
% 1.18/0.98 % (700039)Time elapsed: 0.005 s
% 1.18/0.98 % (700039)Peak memory usage: 88 MB
% 1.18/0.98 % (700039)Instructions burned: 7 (million)
% 1.18/0.98 % (700036)Instruction limit reached!
% 1.18/0.98 % (700036)------------------------------
% 1.18/0.98 % (700036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.18/0.98 % (700036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.18/0.98 % (700036)CaDiCaL version: 2.1.3
% 1.18/0.98 % (700036)Termination reason: Instruction limit
% 1.18/0.98 % (700036)Termination phase: Saturation
% 1.18/0.98 % (700036)Time elapsed: 0.032 s
% 1.18/0.98 % (700036)Peak memory usage: 115 MB
% 1.18/0.98 % (700036)Instructions burned: 12 (million)
% 1.18/0.98 % (700042)Also succeeded, but the first one will report.
% 1.18/0.98 % (700041)Also succeeded, but the first one will report.
% 1.18/0.98 % (700038)Also succeeded, but the first one will report.
% 1.18/0.98 % (700037)Refutation found. Thanks to Tanya!
% 1.18/0.98 % SZS status Theorem for theBenchmark
% 1.18/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.85/1.17 % (700037)------------------------------
% 2.85/1.17 % (700037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/1.17 % (700037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/1.17 % (700037)CaDiCaL version: 2.1.3
% 2.85/1.17 % (700037)Termination reason: Refutation
% 2.85/1.17 % (700037)Time elapsed: 0.024 s
% 2.85/1.17 % (700037)Peak memory usage: 116 MB
% 2.85/1.17 % (700037)Instructions burned: 18 (million)
% 2.85/1.17 % (700037)------------------------------
% 2.85/1.17 % (700037)------------------------------
% 2.85/1.17 % (699979)Success in time 0.32 s
% 2.85/1.17 % Vampire exiting
%------------------------------------------------------------------------------