TSTP Solution File: GEO222+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : n002.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 16:09:21 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 20 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 121 ( 54 ~; 47 |; 10 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 107 ( 103 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f251,plain,
$false,
inference(unit_resulting_resolution,[],[f115,f112,f180,f164,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X0)
| ~ convergent_lines(X2,X0)
| unorthogonal_lines(X1,X2)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( unorthogonal_lines(X1,X2)
& convergent_lines(X1,X2) )
| ~ convergent_lines(X2,X0)
| ~ unorthogonal_lines(X2,X0)
| ( unorthogonal_lines(X1,X0)
& convergent_lines(X1,X0) ) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X1,X0,X2] :
( ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ~ convergent_lines(X2,X1)
| ~ unorthogonal_lines(X2,X1)
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) ) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X1)
| ~ convergent_lines(X2,X1)
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) )
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ( ( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) )
& ( ~ convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X2) ) )
=> ( ~ unorthogonal_lines(X2,X1)
| ~ convergent_lines(X2,X1) ) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X5,X7,X6] :
( ( ( ~ unorthogonal_lines(X5,X7)
| ~ convergent_lines(X5,X7) )
& ( ~ convergent_lines(X5,X6)
| ~ unorthogonal_lines(X5,X6) ) )
=> ( ~ convergent_lines(X6,X7)
| ~ unorthogonal_lines(X6,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cotno1) ).
fof(f164,plain,
! [X0] : unorthogonal_lines(orthogonal_through_point(sK0,X0),orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(unit_resulting_resolution,[],[f115,f148,f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( unorthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X2)
| ~ convergent_lines(X1,X2) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0,X2,X1] :
( unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1)
| ~ convergent_lines(X2,X1) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X2,X1)
| unorthogonal_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ( ~ unorthogonal_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ~ convergent_lines(X2,X1) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X5,X7,X6] :
( ( ~ unorthogonal_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ convergent_lines(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',couo1) ).
fof(f148,plain,
convergent_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),sK0),
inference(unit_resulting_resolution,[],[f142,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( convergent_lines(X1,X0)
| ~ distinct_lines(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( distinct_lines(X1,X0)
=> convergent_lines(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X0] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f142,plain,
distinct_lines(orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1),sK0),
inference(unit_resulting_resolution,[],[f112,f138,f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| convergent_lines(X1,X0)
| distinct_lines(X2,X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X0)
| ~ convergent_lines(X1,X2)
| distinct_lines(X2,X0) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1)
| distinct_lines(X1,X2) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f138,plain,
convergent_lines(sK0,orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(unit_resulting_resolution,[],[f114,f122]) ).
fof(f122,plain,
! [X0,X1] :
( parallel_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( parallel_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
=> parallel_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f114,plain,
~ parallel_lines(sK0,orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
~ parallel_lines(sK0,orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f80,f94]) ).
fof(f94,plain,
( ? [X0,X1] : ~ parallel_lines(X0,orthogonal_through_point(orthogonal_through_point(X0,X1),X1))
=> ~ parallel_lines(sK0,orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0,X1] : ~ parallel_lines(X0,orthogonal_through_point(orthogonal_through_point(X0,X1),X1)),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X1,X0] : parallel_lines(X0,orthogonal_through_point(orthogonal_through_point(X0,X1),X1)),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X5,X8] : parallel_lines(X5,orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X5,X8] : parallel_lines(X5,orthogonal_through_point(orthogonal_through_point(X5,X8),X8)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f180,plain,
! [X0] : convergent_lines(orthogonal_through_point(sK0,X0),orthogonal_through_point(orthogonal_through_point(sK0,sK1),sK1)),
inference(unit_resulting_resolution,[],[f115,f148,f163,f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,X0)
| unorthogonal_lines(X1,X0)
| convergent_lines(X1,X2)
| ~ convergent_lines(X2,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f163,plain,
! [X2,X0,X1] : unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(X0,X1),X2),X0),
inference(unit_resulting_resolution,[],[f115,f137,f113]) ).
fof(f137,plain,
! [X0,X1] : convergent_lines(orthogonal_through_point(X0,X1),X0),
inference(unit_resulting_resolution,[],[f115,f123]) ).
fof(f123,plain,
! [X0,X1] :
( unorthogonal_lines(X1,X0)
| convergent_lines(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( convergent_lines(X1,X0)
| unorthogonal_lines(X1,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X6,X5] :
( convergent_lines(X5,X6)
| unorthogonal_lines(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',occu1) ).
fof(f112,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f115,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X0,X1),X0),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X0] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ooc1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO222+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 21:43:13 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (31130)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.50 % (31122)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (31114)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)
% 0.19/0.50 % (31122)Refutation not found, incomplete strategy% (31122)------------------------------
% 0.19/0.50 % (31122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (31122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (31122)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (31122)Memory used [KB]: 5884
% 0.19/0.50 % (31122)Time elapsed: 0.003 s
% 0.19/0.50 % (31122)Instructions burned: 2 (million)
% 0.19/0.50 % (31122)------------------------------
% 0.19/0.50 % (31122)------------------------------
% 0.19/0.51 % (31115)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (31126)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.51 % (31103)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)
% 0.19/0.51 % (31102)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)
% 0.19/0.51 % (31102)Refutation not found, incomplete strategy% (31102)------------------------------
% 0.19/0.51 % (31102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31102)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (31102)Memory used [KB]: 5884
% 0.19/0.51 % (31102)Time elapsed: 0.001 s
% 0.19/0.51 % (31102)------------------------------
% 0.19/0.51 % (31102)------------------------------
% 0.19/0.51 % (31103)Refutation not found, incomplete strategy% (31103)------------------------------
% 0.19/0.51 % (31103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31103)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (31103)Memory used [KB]: 6012
% 0.19/0.51 % (31103)Time elapsed: 0.112 s
% 0.19/0.51 % (31103)Instructions burned: 1 (million)
% 0.19/0.51 % (31103)------------------------------
% 0.19/0.51 % (31103)------------------------------
% 0.19/0.51 % (31110)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52 % (31120)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.52 % (31106)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)
% 0.19/0.52 % (31120)Refutation not found, incomplete strategy% (31120)------------------------------
% 0.19/0.52 % (31120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31120)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (31120)Memory used [KB]: 6012
% 0.19/0.52 % (31120)Time elapsed: 0.129 s
% 0.19/0.52 % (31120)Instructions burned: 2 (million)
% 0.19/0.52 % (31120)------------------------------
% 0.19/0.52 % (31120)------------------------------
% 0.19/0.52 % (31101)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (31123)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)
% 0.19/0.52 % (31105)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)
% 0.19/0.52 % (31118)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (31130)Instruction limit reached!
% 0.19/0.52 % (31130)------------------------------
% 0.19/0.52 % (31130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31130)Termination reason: Unknown
% 0.19/0.52 % (31130)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (31130)Memory used [KB]: 6268
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (31130)Time elapsed: 0.118 s
% 0.19/0.52 % (31130)Instructions burned: 24 (million)
% 0.19/0.52 % (31130)------------------------------
% 0.19/0.52 % (31130)------------------------------
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (31118)Instruction limit reached!
% 0.19/0.52 % (31118)------------------------------
% 0.19/0.52 % (31118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31118)Termination reason: Unknown
% 0.19/0.52 % (31118)Termination phase: Finite model building constraint generation
% 0.19/0.52
% 0.19/0.52 % (31118)Memory used [KB]: 6012
% 0.19/0.52 % (31118)Time elapsed: 0.124 s
% 0.19/0.52 % (31118)Instructions burned: 5 (million)
% 0.19/0.52 % (31118)------------------------------
% 0.19/0.52 % (31118)------------------------------
% 0.19/0.52 % (31104)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)
% 0.19/0.52 % (31104)Refutation not found, incomplete strategy% (31104)------------------------------
% 0.19/0.52 % (31104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (31104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31104)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (31104)Memory used [KB]: 5884
% 0.19/0.52 % (31104)Time elapsed: 0.003 s
% 0.19/0.52 % (31104)------------------------------
% 0.19/0.52 % (31104)------------------------------
% 0.19/0.52 % (31129)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (31108)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (31114)First to succeed.
% 0.19/0.53 % (31114)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (31114)------------------------------
% 0.19/0.53 % (31114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31114)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (31114)Memory used [KB]: 6012
% 0.19/0.53 % (31114)Time elapsed: 0.105 s
% 0.19/0.53 % (31114)Instructions burned: 9 (million)
% 0.19/0.53 % (31114)------------------------------
% 0.19/0.53 % (31114)------------------------------
% 0.19/0.53 % (31100)Success in time 0.181 s
%------------------------------------------------------------------------------