TSTP Solution File: SWW581_2 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW581_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n024.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 18:53:44 EDT 2024
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 72 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 214 ( 53 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 232 ( 90 ~; 63 |; 44 &)
% ( 8 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 283 ( 94 atm; 55 fun; 78 num; 56 var)
% Number of types : 6 ( 4 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 27 ( 20 usr; 17 con; 0-4 aty)
% Number of variables : 56 ( 44 !; 12 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
fact: $int > $int ).
tff(func_def_15,type,
ref: ty > ty ).
tff(func_def_16,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_17,type,
contents: ( ty * uni ) > uni ).
tff(func_def_20,type,
sK0: $int ).
tff(func_def_21,type,
sK1: $int ).
tff(func_def_22,type,
sK2: $int ).
tff(func_def_23,type,
sK3: $int ).
tff(func_def_24,type,
sK4: $int ).
tff(func_def_25,type,
sK5: $int ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(f1188,plain,
$false,
inference(avatar_sat_refutation,[],[f96,f876,f921,f933,f935,f962,f1037,f1040,f1138]) ).
tff(f1138,plain,
( ~ spl6_3
| ~ spl6_8
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f1137]) ).
tff(f1137,plain,
( $false
| ~ spl6_3
| ~ spl6_8
| ~ spl6_10 ),
inference(evaluation,[],[f1127]) ).
tff(f1127,plain,
( $less(1,0)
| ~ spl6_3
| ~ spl6_8
| ~ spl6_10 ),
inference(backward_demodulation,[],[f95,f1048]) ).
tff(f1048,plain,
( ( 1 = sK5 )
| ~ spl6_8
| ~ spl6_10 ),
inference(backward_demodulation,[],[f212,f203]) ).
tff(f203,plain,
( ( 1 = sK3 )
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f201]) ).
tff(f201,plain,
( spl6_8
<=> ( 1 = sK3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
tff(f212,plain,
( ( sK3 = sK5 )
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f210]) ).
tff(f210,plain,
( spl6_10
<=> ( sK3 = sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
tff(f95,plain,
( $less(sK5,0)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f93]) ).
tff(f93,plain,
( spl6_3
<=> $less(sK5,0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
tff(f1040,plain,
( spl6_8
| spl6_9 ),
inference(avatar_split_clause,[],[f647,f205,f201]) ).
tff(f205,plain,
( spl6_9
<=> $less(1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
tff(f647,plain,
( $less(1,sK3)
| ( 1 = sK3 ) ),
inference(resolution,[],[f58,f27]) ).
tff(f27,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_152,[]) ).
tff(f58,plain,
~ $less(sK3,1),
inference(cnf_transformation,[],[f48]) ).
tff(f48,plain,
? [X0: $int] :
( ? [X1: $int,X2: $int] :
( ? [X3: $int,X4: $int] :
( ? [X5: $int] :
( ( ( fact(X5) != X4 )
| $less(X0,X5)
| $less(X5,0) )
& ( $sum(X2,1) = X5 ) )
& $less(X2,X3)
& ( $product(X3,fact(X2)) = X4 )
& ~ $less($sum(X2,1),X3)
& ~ $less(X3,1) )
& $less(X2,X0)
& ( fact(X2) = X1 )
& ~ $less(X0,X2)
& ~ $less(X2,0) )
& ~ $less(X0,0) ),
inference(flattening,[],[f47]) ).
tff(f47,plain,
? [X0: $int] :
( ? [X1: $int,X2: $int] :
( ? [X3: $int,X4: $int] :
( ? [X5: $int] :
( ( ( fact(X5) != X4 )
| $less(X0,X5)
| $less(X5,0) )
& ( $sum(X2,1) = X5 ) )
& $less(X2,X3)
& ( $product(X3,fact(X2)) = X4 )
& ~ $less($sum(X2,1),X3)
& ~ $less(X3,1) )
& $less(X2,X0)
& ( fact(X2) = X1 )
& ~ $less(X0,X2)
& ~ $less(X2,0) )
& ~ $less(X0,0) ),
inference(ennf_transformation,[],[f38]) ).
tff(f38,plain,
~ ! [X0: $int] :
( ~ $less(X0,0)
=> ! [X1: $int,X2: $int] :
( ( ( fact(X2) = X1 )
& ~ $less(X0,X2)
& ~ $less(X2,0) )
=> ( $less(X2,X0)
=> ! [X3: $int,X4: $int] :
( ( ( $product(X3,fact(X2)) = X4 )
& ~ $less($sum(X2,1),X3)
& ~ $less(X3,1) )
=> ( $less(X2,X3)
=> ! [X5: $int] :
( ( $sum(X2,1) = X5 )
=> ( ( fact(X5) = X4 )
& ~ $less(X0,X5)
& ~ $less(X5,0) ) ) ) ) ) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
~ ! [X8: $int] :
( ~ $less(X8,0)
=> ! [X6: $int,X9: $int] :
( ( ( fact(X9) = X6 )
& ~ $less(X8,X9)
& ~ $less(X9,0) )
=> ( $less(X9,X8)
=> ! [X10: $int,X11: $int] :
( ( ( $product(X10,fact(X9)) = X11 )
& ~ $less($sum(X9,1),X10)
& ~ $less(X10,1) )
=> ( $less(X9,X10)
=> ! [X12: $int] :
( ( $sum(X9,1) = X12 )
=> ( ( fact(X12) = X11 )
& ~ $less(X8,X12)
& ~ $less(X12,0) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f16]) ).
tff(f16,negated_conjecture,
~ ! [X8: $int] :
( $lesseq(0,X8)
=> ! [X6: $int,X9: $int] :
( ( ( fact(X9) = X6 )
& $lesseq(X9,X8)
& $lesseq(0,X9) )
=> ( $less(X9,X8)
=> ! [X10: $int,X11: $int] :
( ( ( $product(X10,fact(X9)) = X11 )
& $lesseq(X10,$sum(X9,1))
& $lesseq(1,X10) )
=> ( ~ $lesseq(X10,X9)
=> ! [X12: $int] :
( ( $sum(X9,1) = X12 )
=> ( ( fact(X12) = X11 )
& $lesseq(X12,X8)
& $lesseq(0,X12) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f15]) ).
tff(f15,conjecture,
! [X8: $int] :
( $lesseq(0,X8)
=> ! [X6: $int,X9: $int] :
( ( ( fact(X9) = X6 )
& $lesseq(X9,X8)
& $lesseq(0,X9) )
=> ( $less(X9,X8)
=> ! [X10: $int,X11: $int] :
( ( ( $product(X10,fact(X9)) = X11 )
& $lesseq(X10,$sum(X9,1))
& $lesseq(1,X10) )
=> ( ~ $lesseq(X10,X9)
=> ! [X12: $int] :
( ( $sum(X9,1) = X12 )
=> ( ( fact(X12) = X11 )
& $lesseq(X12,X8)
& $lesseq(0,X12) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f1037,plain,
( ~ spl6_3
| ~ spl6_34 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
tff(f1036,plain,
( $false
| ~ spl6_3
| ~ spl6_34 ),
inference(evaluation,[],[f1032]) ).
tff(f1032,plain,
( $less(1,0)
| ~ spl6_3
| ~ spl6_34 ),
inference(resolution,[],[f975,f930]) ).
tff(f930,plain,
( $less(1,sK5)
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f929]) ).
tff(f929,plain,
( spl6_34
<=> $less(1,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_34])]) ).
tff(f975,plain,
( ! [X0: $int] :
( ~ $less(X0,sK5)
| $less(X0,0) )
| ~ spl6_3 ),
inference(resolution,[],[f95,f26]) ).
tff(f26,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_151,[]) ).
tff(f962,plain,
( ~ spl6_9
| ~ spl6_10
| spl6_34 ),
inference(avatar_contradiction_clause,[],[f961]) ).
tff(f961,plain,
( $false
| ~ spl6_9
| ~ spl6_10
| spl6_34 ),
inference(subsumption_resolution,[],[f960,f207]) ).
tff(f207,plain,
( $less(1,sK3)
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f205]) ).
tff(f960,plain,
( ~ $less(1,sK3)
| ~ spl6_10
| spl6_34 ),
inference(backward_demodulation,[],[f931,f212]) ).
tff(f931,plain,
( ~ $less(1,sK5)
| spl6_34 ),
inference(avatar_component_clause,[],[f929]) ).
tff(f935,plain,
( spl6_10
| spl6_11 ),
inference(avatar_split_clause,[],[f878,f214,f210]) ).
tff(f214,plain,
( spl6_11
<=> $less(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
tff(f878,plain,
( $less(sK3,sK5)
| ( sK3 = sK5 ) ),
inference(resolution,[],[f83,f27]) ).
tff(f83,plain,
~ $less(sK5,sK3),
inference(backward_demodulation,[],[f59,f57]) ).
tff(f57,plain,
sK5 = $sum(sK2,1),
inference(cnf_transformation,[],[f48]) ).
tff(f59,plain,
~ $less($sum(sK2,1),sK3),
inference(cnf_transformation,[],[f48]) ).
tff(f933,plain,
~ spl6_11,
inference(avatar_split_clause,[],[f910,f214]) ).
tff(f910,plain,
~ $less(sK3,sK5),
inference(resolution,[],[f151,f61]) ).
tff(f61,plain,
$less(sK2,sK3),
inference(cnf_transformation,[],[f48]) ).
tff(f151,plain,
! [X0: $int] :
( ~ $less(sK2,X0)
| ~ $less(X0,sK5) ),
inference(superposition,[],[f37,f57]) ).
tff(f37,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,$sum(X0,1))
| ~ $less(X0,X1) ),
introduced(theory_axiom_169,[]) ).
tff(f921,plain,
~ spl6_2,
inference(avatar_split_clause,[],[f909,f89]) ).
tff(f89,plain,
( spl6_2
<=> $less(sK0,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f909,plain,
~ $less(sK0,sK5),
inference(resolution,[],[f151,f65]) ).
tff(f65,plain,
$less(sK2,sK0),
inference(cnf_transformation,[],[f48]) ).
tff(f876,plain,
( spl6_1
| ~ spl6_10 ),
inference(avatar_contradiction_clause,[],[f875]) ).
tff(f875,plain,
( $false
| spl6_1
| ~ spl6_10 ),
inference(subsumption_resolution,[],[f865,f224]) ).
tff(f224,plain,
( ( sK4 != fact(sK3) )
| spl6_1
| ~ spl6_10 ),
inference(backward_demodulation,[],[f87,f212]) ).
tff(f87,plain,
( ( sK4 != fact(sK5) )
| spl6_1 ),
inference(avatar_component_clause,[],[f85]) ).
tff(f85,plain,
( spl6_1
<=> ( sK4 = fact(sK5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
tff(f865,plain,
( ( sK4 = fact(sK3) )
| ~ spl6_10 ),
inference(superposition,[],[f60,f854]) ).
tff(f854,plain,
( ( $product(sK3,fact(sK2)) = fact(sK3) )
| ~ spl6_10 ),
inference(backward_demodulation,[],[f646,f846]) ).
tff(f846,plain,
( ( sK2 = $sum(sK3,-1) )
| ~ spl6_10 ),
inference(evaluation,[],[f842]) ).
tff(f842,plain,
( ( $sum(sK2,0) = $sum(sK3,$uminus(1)) )
| ~ spl6_10 ),
inference(superposition,[],[f656,f24]) ).
tff(f24,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_148,[]) ).
tff(f656,plain,
( ! [X0: $int] : ( $sum(sK2,$sum(1,X0)) = $sum(sK3,X0) )
| ~ spl6_10 ),
inference(superposition,[],[f21,f222]) ).
tff(f222,plain,
( ( sK3 = $sum(sK2,1) )
| ~ spl6_10 ),
inference(backward_demodulation,[],[f57,f212]) ).
tff(f21,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_144,[]) ).
tff(f646,plain,
fact(sK3) = $product(sK3,fact($sum(sK3,-1))),
inference(resolution,[],[f58,f82]) ).
tff(f82,plain,
! [X0: $int] :
( $less(X0,1)
| ( fact(X0) = $product(X0,fact($sum(X0,-1))) ) ),
inference(evaluation,[],[f72]) ).
tff(f72,plain,
! [X0: $int] :
( $less(X0,1)
| ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) ) ),
inference(cnf_transformation,[],[f49]) ).
tff(f49,plain,
! [X0: $int] :
( ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) )
| $less(X0,1) ),
inference(ennf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: $int] :
( ~ $less(X0,1)
=> ( fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
! [X8: $int] :
( ~ $less(X8,1)
=> ( fact(X8) = $product(X8,fact($sum(X8,$uminus(1)))) ) ),
inference(theory_normalization,[],[f10]) ).
tff(f10,axiom,
! [X8: $int] :
( $lesseq(1,X8)
=> ( fact(X8) = $product(X8,fact($difference(X8,1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f60,plain,
sK4 = $product(sK3,fact(sK2)),
inference(cnf_transformation,[],[f48]) ).
tff(f96,plain,
( ~ spl6_1
| spl6_2
| spl6_3 ),
inference(avatar_split_clause,[],[f56,f93,f89,f85]) ).
tff(f56,plain,
( $less(sK5,0)
| $less(sK0,sK5)
| ( sK4 != fact(sK5) ) ),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW581_2 : TPTP v8.2.0. Released v6.1.0.
% 0.07/0.13 % Command : run_vampire %s %d SAT
% 0.12/0.34 % Computer : n024.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 : Wed Jun 19 04:19:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.37 This is a TF0_THM_EQU_ARI problem
% 0.12/0.37 Running first-order model finding
% 0.12/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.44 % (19250)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (19257)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.44 % (19250)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (19251)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.44 % (19250)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (19255)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.44 % (19251)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.44 % (19251)Terminated due to inappropriate strategy.
% 0.22/0.44 % (19251)------------------------------
% 0.22/0.44 % (19251)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44 % (19251)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44 % (19251)Termination reason: Inappropriate
% 0.22/0.44
% 0.22/0.44 % (19251)Memory used [KB]: 753
% 0.22/0.44 % (19251)Time elapsed: 0.002 s
% 0.22/0.44 % (19251)Instructions burned: 3 (million)
% 0.22/0.44 % (19251)------------------------------
% 0.22/0.44 % (19251)------------------------------
% 0.22/0.44 % (19250)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (19254)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.22/0.44 % (19254)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.44 % (19254)Terminated due to inappropriate strategy.
% 0.22/0.44 % (19254)------------------------------
% 0.22/0.44 % (19254)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44 % (19254)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44 % (19254)Termination reason: Inappropriate
% 0.22/0.44
% 0.22/0.44 % (19254)Memory used [KB]: 751
% 0.22/0.44 % (19254)Time elapsed: 0.003 s
% 0.22/0.44 % (19254)Instructions burned: 3 (million)
% 0.22/0.44 % (19254)------------------------------
% 0.22/0.44 % (19254)------------------------------
% 0.22/0.44 % (19250)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (19256)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.22/0.44 % (19250)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (19253)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.44 % (19250)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (19252)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.22/0.45 % (19253)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/0.45 % (19253)Terminated due to inappropriate strategy.
% 0.22/0.45 % (19253)------------------------------
% 0.22/0.45 % (19253)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45 % (19253)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45 % (19253)Termination reason: Inappropriate
% 0.22/0.45
% 0.22/0.45 % (19253)Memory used [KB]: 752
% 0.22/0.45 % (19253)Time elapsed: 0.002 s
% 0.22/0.45 % (19253)Instructions burned: 3 (million)
% 0.22/0.45 % (19253)------------------------------
% 0.22/0.45 % (19253)------------------------------
% 0.22/0.47 % (19255)First to succeed.
% 0.22/0.47 % (19255)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19250"
% 0.22/0.48 % (19250)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (19255)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (19255)------------------------------
% 0.22/0.48 % (19255)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (19255)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (19255)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (19255)Memory used [KB]: 1234
% 0.22/0.48 % (19255)Time elapsed: 0.036 s
% 0.22/0.48 % (19255)Instructions burned: 52 (million)
% 0.22/0.48 % (19255)------------------------------
% 0.22/0.48 % (19255)------------------------------
% 0.22/0.48 % (19250)Success in time 0.098 s
%------------------------------------------------------------------------------