TSTP Solution File: SET995+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET995+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n005.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 18:22:58 EDT 2022
% Result : Theorem 1.28s 0.54s
% Output : Refutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 55 ( 17 unt; 0 def)
% Number of atoms : 301 ( 127 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 368 ( 122 ~; 114 |; 106 &)
% ( 8 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 119 ( 85 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f243,plain,
$false,
inference(subsumption_resolution,[],[f239,f187]) ).
fof(f187,plain,
in(apply(sK10,sK0(sK8,sK10)),singleton(sK9)),
inference(unit_resulting_resolution,[],[f151,f127]) ).
fof(f127,plain,
! [X1] :
( in(apply(sK10,X1),singleton(sK9))
| ~ in(X1,relation_dom(sK8)) ),
inference(forward_demodulation,[],[f126,f106]) ).
fof(f106,plain,
relation_dom(sK8) = relation_dom(sK10),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( relation(sK10)
& relation_dom(sK8) = relation_dom(sK10)
& singleton(sK9) = relation_rng(sK8)
& sK8 != sK10
& function(sK10)
& relation_rng(sK10) = singleton(sK9)
& relation(sK8)
& function(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f70,f72,f71]) ).
fof(f71,plain,
( ? [X0,X1] :
( ? [X2] :
( relation(X2)
& relation_dom(X0) = relation_dom(X2)
& relation_rng(X0) = singleton(X1)
& X0 != X2
& function(X2)
& relation_rng(X2) = singleton(X1) )
& relation(X0)
& function(X0) )
=> ( ? [X2] :
( relation(X2)
& relation_dom(X2) = relation_dom(sK8)
& singleton(sK9) = relation_rng(sK8)
& sK8 != X2
& function(X2)
& relation_rng(X2) = singleton(sK9) )
& relation(sK8)
& function(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X2] :
( relation(X2)
& relation_dom(X2) = relation_dom(sK8)
& singleton(sK9) = relation_rng(sK8)
& sK8 != X2
& function(X2)
& relation_rng(X2) = singleton(sK9) )
=> ( relation(sK10)
& relation_dom(sK8) = relation_dom(sK10)
& singleton(sK9) = relation_rng(sK8)
& sK8 != sK10
& function(sK10)
& relation_rng(sK10) = singleton(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
? [X0,X1] :
( ? [X2] :
( relation(X2)
& relation_dom(X0) = relation_dom(X2)
& relation_rng(X0) = singleton(X1)
& X0 != X2
& function(X2)
& relation_rng(X2) = singleton(X1) )
& relation(X0)
& function(X0) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
? [X1,X0] :
( ? [X2] :
( relation(X2)
& relation_dom(X1) = relation_dom(X2)
& singleton(X0) = relation_rng(X1)
& X1 != X2
& function(X2)
& singleton(X0) = relation_rng(X2) )
& relation(X1)
& function(X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X1,X0] :
( ? [X2] :
( X1 != X2
& singleton(X0) = relation_rng(X2)
& singleton(X0) = relation_rng(X1)
& relation_dom(X1) = relation_dom(X2)
& function(X2)
& relation(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,negated_conjecture,
~ ! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( singleton(X0) = relation_rng(X2)
& singleton(X0) = relation_rng(X1)
& relation_dom(X1) = relation_dom(X2) )
=> X1 = X2 ) ) ),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( singleton(X0) = relation_rng(X2)
& singleton(X0) = relation_rng(X1)
& relation_dom(X1) = relation_dom(X2) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_funct_1) ).
fof(f126,plain,
! [X1] :
( in(apply(sK10,X1),singleton(sK9))
| ~ in(X1,relation_dom(sK10)) ),
inference(subsumption_resolution,[],[f125,f107]) ).
fof(f107,plain,
relation(sK10),
inference(cnf_transformation,[],[f73]) ).
fof(f125,plain,
! [X1] :
( ~ in(X1,relation_dom(sK10))
| in(apply(sK10,X1),singleton(sK9))
| ~ relation(sK10) ),
inference(subsumption_resolution,[],[f122,f103]) ).
fof(f103,plain,
function(sK10),
inference(cnf_transformation,[],[f73]) ).
fof(f122,plain,
! [X1] :
( ~ function(sK10)
| ~ relation(sK10)
| in(apply(sK10,X1),singleton(sK9))
| ~ in(X1,relation_dom(sK10)) ),
inference(superposition,[],[f117,f102]) ).
fof(f102,plain,
relation_rng(sK10) = singleton(sK9),
inference(cnf_transformation,[],[f73]) ).
fof(f117,plain,
! [X0,X7] :
( in(apply(X0,X7),relation_rng(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ in(X7,relation_dom(X0)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X7] :
( in(apply(X0,X7),X1)
| ~ in(X7,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X7,X5] :
( in(X5,X1)
| apply(X0,X7) != X5
| ~ in(X7,relation_dom(X0))
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ~ in(sK5(X0,X1),X1)
| ! [X3] :
( apply(X0,X3) != sK5(X0,X1)
| ~ in(X3,relation_dom(X0)) ) )
& ( in(sK5(X0,X1),X1)
| ( apply(X0,sK6(X0,X1)) = sK5(X0,X1)
& in(sK6(X0,X1),relation_dom(X0)) ) ) ) )
& ( ! [X5] :
( ( ( apply(X0,sK7(X0,X5)) = X5
& in(sK7(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) )
& ( in(X5,X1)
| ! [X7] :
( apply(X0,X7) != X5
| ~ in(X7,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f65,f68,f67,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( in(X2,X1)
| ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) ) ) )
=> ( ( ~ in(sK5(X0,X1),X1)
| ! [X3] :
( apply(X0,X3) != sK5(X0,X1)
| ~ in(X3,relation_dom(X0)) ) )
& ( in(sK5(X0,X1),X1)
| ? [X4] :
( apply(X0,X4) = sK5(X0,X1)
& in(X4,relation_dom(X0)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X4] :
( apply(X0,X4) = sK5(X0,X1)
& in(X4,relation_dom(X0)) )
=> ( apply(X0,sK6(X0,X1)) = sK5(X0,X1)
& in(sK6(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X5] :
( ? [X6] :
( apply(X0,X6) = X5
& in(X6,relation_dom(X0)) )
=> ( apply(X0,sK7(X0,X5)) = X5
& in(sK7(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( in(X2,X1)
| ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) ) ) ) )
& ( ! [X5] :
( ( ? [X6] :
( apply(X0,X6) = X5
& in(X6,relation_dom(X0)) )
| ~ in(X5,X1) )
& ( in(X5,X1)
| ! [X7] :
( apply(X0,X7) != X5
| ~ in(X7,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( in(X2,X1)
| ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ) )
& ( ! [X2] :
( ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
<=> in(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f151,plain,
in(sK0(sK8,sK10),relation_dom(sK8)),
inference(unit_resulting_resolution,[],[f107,f103,f101,f100,f104,f106,f78]) ).
fof(f78,plain,
! [X0,X1] :
( relation_dom(X0) != relation_dom(X1)
| ~ function(X1)
| ~ relation(X0)
| ~ function(X0)
| X0 = X1
| in(sK0(X0,X1),relation_dom(X0))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( X0 = X1
| relation_dom(X0) != relation_dom(X1)
| ( in(sK0(X0,X1),relation_dom(X0))
& apply(X0,sK0(X0,X1)) != apply(X1,sK0(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f40,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
=> ( in(sK0(X0,X1),relation_dom(X0))
& apply(X0,sK0(X0,X1)) != apply(X1,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( X0 = X1
| relation_dom(X0) != relation_dom(X1)
| ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
| ~ function(X1)
| ~ relation(X1) )
| ~ function(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ? [X2] :
( in(X2,relation_dom(X0))
& apply(X0,X2) != apply(X1,X2) )
| relation_dom(X0) != relation_dom(X1)
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( ( ! [X2] :
( in(X2,relation_dom(X0))
=> apply(X0,X2) = apply(X1,X2) )
& relation_dom(X0) = relation_dom(X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
fof(f104,plain,
sK8 != sK10,
inference(cnf_transformation,[],[f73]) ).
fof(f100,plain,
function(sK8),
inference(cnf_transformation,[],[f73]) ).
fof(f101,plain,
relation(sK8),
inference(cnf_transformation,[],[f73]) ).
fof(f239,plain,
~ in(apply(sK10,sK0(sK8,sK10)),singleton(sK9)),
inference(backward_demodulation,[],[f194,f238]) ).
fof(f238,plain,
sK9 = apply(sK8,sK0(sK8,sK10)),
inference(unit_resulting_resolution,[],[f184,f111]) ).
fof(f111,plain,
! [X2,X1] :
( ~ in(X2,singleton(X1))
| X1 = X2 ),
inference(equality_resolution,[],[f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ in(X2,X0)
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ( ( ~ in(sK4(X0,X1),X0)
| sK4(X0,X1) != X1 )
& ( in(sK4(X0,X1),X0)
| sK4(X0,X1) = X1 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f61,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ in(X3,X0)
| X1 != X3 )
& ( in(X3,X0)
| X1 = X3 ) )
=> ( ( ~ in(sK4(X0,X1),X0)
| sK4(X0,X1) != X1 )
& ( in(sK4(X0,X1),X0)
| sK4(X0,X1) = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0,X1] :
( ( ! [X2] :
( ( X1 = X2
| ~ in(X2,X0) )
& ( in(X2,X0)
| X1 != X2 ) )
| singleton(X1) != X0 )
& ( singleton(X1) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| X1 != X3 )
& ( in(X3,X0)
| X1 = X3 ) ) ) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ( ! [X2] :
( ( X0 = X2
| ~ in(X2,X1) )
& ( in(X2,X1)
| X0 != X2 ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| X0 != X2 )
& ( in(X2,X1)
| X0 = X2 ) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ! [X2] :
( X0 = X2
<=> in(X2,X1) )
<=> singleton(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f184,plain,
in(apply(sK8,sK0(sK8,sK10)),singleton(sK9)),
inference(forward_demodulation,[],[f183,f105]) ).
fof(f105,plain,
singleton(sK9) = relation_rng(sK8),
inference(cnf_transformation,[],[f73]) ).
fof(f183,plain,
in(apply(sK8,sK0(sK8,sK10)),relation_rng(sK8)),
inference(unit_resulting_resolution,[],[f101,f100,f151,f117]) ).
fof(f194,plain,
~ in(apply(sK10,sK0(sK8,sK10)),singleton(apply(sK8,sK0(sK8,sK10)))),
inference(unit_resulting_resolution,[],[f152,f111]) ).
fof(f152,plain,
apply(sK8,sK0(sK8,sK10)) != apply(sK10,sK0(sK8,sK10)),
inference(unit_resulting_resolution,[],[f103,f107,f101,f100,f104,f106,f77]) ).
fof(f77,plain,
! [X0,X1] :
( apply(X0,sK0(X0,X1)) != apply(X1,sK0(X0,X1))
| ~ function(X1)
| ~ function(X0)
| X0 = X1
| ~ relation(X0)
| ~ relation(X1)
| relation_dom(X0) != relation_dom(X1) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET995+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:33:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (7320)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.51 % (7318)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (7329)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (7317)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (7338)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.53 % (7336)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.28/0.53 % (7321)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.28/0.53 % (7343)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.28/0.53 % (7319)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.28/0.53 % (7321)Refutation not found, incomplete strategy% (7321)------------------------------
% 1.28/0.53 % (7321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (7321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (7321)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.53
% 1.28/0.53 % (7321)Memory used [KB]: 6012
% 1.28/0.53 % (7321)Time elapsed: 0.134 s
% 1.28/0.53 % (7321)Instructions burned: 5 (million)
% 1.28/0.53 % (7321)------------------------------
% 1.28/0.53 % (7321)------------------------------
% 1.28/0.54 % (7316)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.28/0.54 % (7315)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.28/0.54 % (7318)First to succeed.
% 1.28/0.54 % (7318)Refutation found. Thanks to Tanya!
% 1.28/0.54 % SZS status Theorem for theBenchmark
% 1.28/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.28/0.54 % (7318)------------------------------
% 1.28/0.54 % (7318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54 % (7318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54 % (7318)Termination reason: Refutation
% 1.28/0.54
% 1.28/0.54 % (7318)Memory used [KB]: 6140
% 1.28/0.54 % (7318)Time elapsed: 0.112 s
% 1.28/0.54 % (7318)Instructions burned: 8 (million)
% 1.28/0.54 % (7318)------------------------------
% 1.28/0.54 % (7318)------------------------------
% 1.28/0.54 % (7313)Success in time 0.183 s
%------------------------------------------------------------------------------