TSTP Solution File: ARI710_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ARI710_1 : TPTP v8.2.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 May 20 18:51:01 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 50
% Syntax : Number of formulae : 102 ( 41 unt; 4 typ; 0 def)
% Number of atoms : 187 ( 60 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 152 ( 63 ~; 63 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 288 ( 32 atm; 131 fun; 31 num; 94 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 29 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 9 ( 4 usr; 6 con; 0-2 aty)
% Number of variables : 94 ( 94 !; 0 ?; 94 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
b: $int ).
tff(func_def_1,type,
a: $int ).
tff(func_def_2,type,
c: $int ).
tff(func_def_3,type,
d: $int ).
tff(f276,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f36,f40,f44,f48,f52,f56,f60,f64,f69,f83,f87,f97,f101,f106,f118,f122,f147,f151,f193,f197,f238,f242,f246,f269,f274,f275]) ).
tff(f275,plain,
( spl0_22
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f175,f149,f66,f235]) ).
tff(f235,plain,
( spl0_22
<=> ( b = $product(a,$product(c,d)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
tff(f66,plain,
( spl0_10
<=> ( b = $product($product(a,c),d) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
tff(f149,plain,
( spl0_19
<=> ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
tff(f175,plain,
( ( b = $product(a,$product(c,d)) )
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f150,f68]) ).
tff(f68,plain,
( ( b = $product($product(a,c),d) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f66]) ).
tff(f150,plain,
( ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f149]) ).
tff(f274,plain,
( spl0_26
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f76,f66,f62,f271]) ).
tff(f271,plain,
( spl0_26
<=> ( b = $product(d,$product(a,c)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
tff(f62,plain,
( spl0_9
<=> ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
tff(f76,plain,
( ( b = $product(d,$product(a,c)) )
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f68,f63]) ).
tff(f63,plain,
( ! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f62]) ).
tff(f269,plain,
( spl0_25
| ~ spl0_8
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f263,f244,f58,f267]) ).
tff(f267,plain,
( spl0_25
<=> ! [X0: $int] : $less(X0,$sum(1,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
tff(f58,plain,
( spl0_8
<=> ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
tff(f244,plain,
( spl0_24
<=> ! [X0: $int] : $less(X0,$sum(X0,1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
tff(f263,plain,
( ! [X0: $int] : $less(X0,$sum(1,X0))
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f245,f59]) ).
tff(f59,plain,
( ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f58]) ).
tff(f245,plain,
( ! [X0: $int] : $less(X0,$sum(X0,1))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f244]) ).
tff(f246,plain,
( spl0_24
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f88,f81,f34,f244]) ).
tff(f34,plain,
( spl0_2
<=> ! [X0: $int] : ~ $less(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f81,plain,
( spl0_11
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
tff(f88,plain,
( ! [X0: $int] : $less(X0,$sum(X0,1))
| ~ spl0_2
| ~ spl0_11 ),
inference(resolution,[],[f82,f35]) ).
tff(f35,plain,
( ! [X0: $int] : ~ $less(X0,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
tff(f82,plain,
( ! [X0: $int,X1: $int] :
( $less(X1,$sum(X0,1))
| $less(X0,X1) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f81]) ).
tff(f242,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f70,f62,f50,f240]) ).
tff(f240,plain,
( spl0_23
<=> ! [X0: $int] : ( 0 = $product(0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
tff(f50,plain,
( spl0_6
<=> ! [X0: $int] : ( 0 = $product(X0,0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f70,plain,
( ! [X0: $int] : ( 0 = $product(0,X0) )
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f63,f51]) ).
tff(f51,plain,
( ! [X0: $int] : ( 0 = $product(X0,0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f238,plain,
( ~ spl0_22
| spl0_1
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f188,f149,f62,f29,f235]) ).
tff(f29,plain,
( spl0_1
<=> ( b = $product($product(a,d),c) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f188,plain,
( ( b != $product(a,$product(c,d)) )
| spl0_1
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f179,f63]) ).
tff(f179,plain,
( ( b != $product(a,$product(d,c)) )
| spl0_1
| ~ spl0_19 ),
inference(superposition,[],[f31,f150]) ).
tff(f31,plain,
( ( b != $product($product(a,d),c) )
| spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f197,plain,
spl0_21,
inference(avatar_split_clause,[],[f25,f195]) ).
tff(f195,plain,
( spl0_21
<=> ! [X2: $int,X0: $int,X3: $int] :
( ( 0 = X0 )
| ( $product(X0,X2) != $product(X0,X3) )
| ( X2 = X3 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
tff(f25,plain,
! [X2: $int,X3: $int,X0: $int] :
( ( 0 = X0 )
| ( $product(X0,X2) != $product(X0,X3) )
| ( X2 = X3 ) ),
inference(equality_resolution,[],[f20]) ).
tff(f20,plain,
! [X2: $int,X3: $int,X0: $int,X1: $int] :
( ( 0 = X0 )
| ( $product(X0,X2) != X1 )
| ( $product(X0,X3) != X1 )
| ( X2 = X3 ) ),
introduced(theory_axiom_151,[]) ).
tff(f193,plain,
spl0_20,
inference(avatar_split_clause,[],[f19,f191]) ).
tff(f191,plain,
( spl0_20
<=> ! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
tff(f19,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(theory_axiom_150,[]) ).
tff(f151,plain,
spl0_19,
inference(avatar_split_clause,[],[f16,f149]) ).
tff(f16,plain,
! [X2: $int,X0: $int,X1: $int] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f147,plain,
spl0_18,
inference(avatar_split_clause,[],[f5,f145]) ).
tff(f145,plain,
( spl0_18
<=> ! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
tff(f5,plain,
! [X2: $int,X0: $int,X1: $int] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(theory_axiom_136,[]) ).
tff(f122,plain,
spl0_17,
inference(avatar_split_clause,[],[f12,f120]) ).
tff(f120,plain,
( spl0_17
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
tff(f12,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| $less($sum(X0,X2),$sum(X1,X2)) ),
introduced(theory_axiom_145,[]) ).
tff(f118,plain,
spl0_16,
inference(avatar_split_clause,[],[f7,f116]) ).
tff(f116,plain,
( spl0_16
<=> ! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
tff(f7,plain,
! [X0: $int,X1: $int] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(theory_axiom_139,[]) ).
tff(f106,plain,
( ~ spl0_15
| spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f72,f62,f29,f103]) ).
tff(f103,plain,
( spl0_15
<=> ( b = $product(c,$product(a,d)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
tff(f72,plain,
( ( b != $product(c,$product(a,d)) )
| spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f31,f63]) ).
tff(f101,plain,
spl0_14,
inference(avatar_split_clause,[],[f11,f99]) ).
tff(f99,plain,
( spl0_14
<=> ! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,X0)
| ( X0 = X1 ) ),
introduced(theory_axiom_144,[]) ).
tff(f97,plain,
spl0_13,
inference(avatar_split_clause,[],[f10,f95]) ).
tff(f95,plain,
( spl0_13
<=> ! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,X2)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f87,plain,
spl0_12,
inference(avatar_split_clause,[],[f21,f85]) ).
tff(f85,plain,
( spl0_12
<=> ! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
tff(f21,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
| ~ $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_161,[]) ).
tff(f83,plain,
spl0_11,
inference(avatar_split_clause,[],[f13,f81]) ).
tff(f13,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| $less(X1,$sum(X0,1)) ),
introduced(theory_axiom_147,[]) ).
tff(f69,plain,
spl0_10,
inference(avatar_split_clause,[],[f26,f66]) ).
tff(f26,plain,
b = $product($product(a,c),d),
inference(evaluation,[],[f24]) ).
tff(f24,plain,
$product(b,1) = $product($product(a,c),d),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(b,1) = $product($product(a,c),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).
tff(f64,plain,
spl0_9,
inference(avatar_split_clause,[],[f15,f62]) ).
tff(f15,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f60,plain,
spl0_8,
inference(avatar_split_clause,[],[f4,f58]) ).
tff(f4,plain,
! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(theory_axiom_135,[]) ).
tff(f56,plain,
spl0_7,
inference(avatar_split_clause,[],[f8,f54]) ).
tff(f54,plain,
( spl0_7
<=> ! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f8,plain,
! [X0: $int] : ( 0 = $sum(X0,$uminus(X0)) ),
introduced(theory_axiom_140,[]) ).
tff(f52,plain,
spl0_6,
inference(avatar_split_clause,[],[f18,f50]) ).
tff(f18,plain,
! [X0: $int] : ( 0 = $product(X0,0) ),
introduced(theory_axiom_149,[]) ).
tff(f48,plain,
spl0_5,
inference(avatar_split_clause,[],[f17,f46]) ).
tff(f46,plain,
( spl0_5
<=> ! [X0: $int] : ( $product(X0,1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f17,plain,
! [X0: $int] : ( $product(X0,1) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f44,plain,
spl0_4,
inference(avatar_split_clause,[],[f14,f42]) ).
tff(f42,plain,
( spl0_4
<=> ! [X0: $int] : ( $uminus($uminus(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f14,plain,
! [X0: $int] : ( $uminus($uminus(X0)) = X0 ),
introduced(theory_axiom_148,[]) ).
tff(f40,plain,
spl0_3,
inference(avatar_split_clause,[],[f6,f38]) ).
tff(f38,plain,
( spl0_3
<=> ! [X0: $int] : ( $sum(X0,0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f6,plain,
! [X0: $int] : ( $sum(X0,0) = X0 ),
introduced(theory_axiom_137,[]) ).
tff(f36,plain,
spl0_2,
inference(avatar_split_clause,[],[f9,f34]) ).
tff(f9,plain,
! [X0: $int] : ~ $less(X0,X0),
introduced(theory_axiom_142,[]) ).
tff(f32,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f27,f29]) ).
tff(f27,plain,
b != $product($product(a,d),c),
inference(forward_demodulation,[],[f23,f15]) ).
tff(f23,plain,
b != $product($product(d,a),c),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
b != $product($product(d,a),c),
inference(flattening,[],[f3]) ).
tff(f3,negated_conjecture,
( ~ b = $product($product(d,a),c) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
b = $product($product(d,a),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ARI710_1 : TPTP v8.2.0. Released v6.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 13:15:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (10137)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (10143)WARNING: value z3 for option sas not known
% 0.15/0.38 % (10144)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (10141)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (10143)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (10140)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (10145)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_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (10146)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (10147)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (10144)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (10141)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (10144)Terminated due to inappropriate strategy.
% 0.15/0.38 % (10144)------------------------------
% 0.15/0.38 % (10144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (10141)Terminated due to inappropriate strategy.
% 0.15/0.38 % (10141)------------------------------
% 0.15/0.38 % (10141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (10144)Termination reason: Inappropriate
% 0.15/0.38 % (10141)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (10144)Memory used [KB]: 723
% 0.15/0.38 % (10141)Memory used [KB]: 724
% 0.15/0.38 % (10144)Time elapsed: 0.002 s
% 0.15/0.38 % (10141)Time elapsed: 0.002 s
% 0.15/0.38 % (10144)Instructions burned: 2 (million)
% 0.15/0.38 % (10141)Instructions burned: 2 (million)
% 0.15/0.38 % (10140)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.15/0.38 % (10140)Terminated due to inappropriate strategy.
% 0.15/0.38 % (10140)------------------------------
% 0.15/0.38 % (10140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (10140)Termination reason: Inappropriate
% 0.15/0.38
% 0.15/0.38 % (10140)Memory used [KB]: 723
% 0.15/0.38 % (10140)Time elapsed: 0.003 s
% 0.15/0.38 % (10140)Instructions burned: 2 (million)
% 0.15/0.38 % (10144)------------------------------
% 0.15/0.38 % (10144)------------------------------
% 0.15/0.38 % (10141)------------------------------
% 0.15/0.38 % (10141)------------------------------
% 0.15/0.38 % (10140)------------------------------
% 0.15/0.38 % (10140)------------------------------
% 0.15/0.38 % (10145)First to succeed.
% 0.15/0.39 % (10145)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10137"
% 0.15/0.39 % (10145)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (10145)------------------------------
% 0.15/0.39 % (10145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (10145)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (10145)Memory used [KB]: 891
% 0.15/0.39 % (10145)Time elapsed: 0.012 s
% 0.15/0.39 % (10145)Instructions burned: 15 (million)
% 0.15/0.39 % (10137)Success in time 0.026 s
%------------------------------------------------------------------------------