TSTP Solution File: SET662+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET662+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n011.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 18:21:47 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 59 ( 10 unt; 0 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 273 ( 107 ~; 93 |; 38 &)
% ( 12 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 73 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f182,plain,
$false,
inference(avatar_sat_refutation,[],[f138,f171,f181]) ).
fof(f181,plain,
~ spl11_1,
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f180,plain,
( $false
| ~ spl11_1 ),
inference(subsumption_resolution,[],[f172,f97]) ).
fof(f97,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(f172,plain,
( ~ ilf_type(cross_product(sK6,sK7),set_type)
| ~ spl11_1 ),
inference(unit_resulting_resolution,[],[f133,f87]) ).
fof(f87,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
fof(f133,plain,
( empty(power_set(cross_product(sK6,sK7)))
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl11_1
<=> empty(power_set(cross_product(sK6,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f171,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f170,plain,
( $false
| spl11_2 ),
inference(subsumption_resolution,[],[f152,f94]) ).
fof(f94,plain,
empty(empty_set),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5a) ).
fof(f152,plain,
( ~ empty(empty_set)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f97,f97,f140,f108]) ).
fof(f108,plain,
! [X2,X0] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ( member(sK8(X0),X0)
& ilf_type(sK8(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f70,f71]) ).
fof(f71,plain,
! [X0] :
( ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) )
=> ( member(sK8(X0),X0)
& ilf_type(sK8(X0),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) ) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) )
<=> empty(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
fof(f140,plain,
( member(sK9(empty_set,cross_product(sK6,sK7)),empty_set)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f97,f97,f137,f116]) ).
fof(f116,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK9(X0,X1),X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ( member(sK9(X0,X1),X0)
& ~ member(sK9(X0,X1),X1)
& ilf_type(sK9(X0,X1),set_type) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f74,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1)
& ilf_type(X3,set_type) )
=> ( member(sK9(X0,X1),X0)
& ~ member(sK9(X0,X1),X1)
& ilf_type(sK9(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1)
& ilf_type(X3,set_type) ) ) ) ) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) )
& ( member(X0,power_set(X1))
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1)
& ilf_type(X2,set_type) ) ) ) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X2,set_type) )
<=> member(X0,power_set(X1)) ) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> member(X0,power_set(X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) )
<=> member(X0,power_set(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f137,plain,
( ~ member(empty_set,power_set(cross_product(sK6,sK7)))
| spl11_2 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl11_2
<=> member(empty_set,power_set(cross_product(sK6,sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f138,plain,
( spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f129,f135,f131]) ).
fof(f129,plain,
( ~ member(empty_set,power_set(cross_product(sK6,sK7)))
| empty(power_set(cross_product(sK6,sK7))) ),
inference(subsumption_resolution,[],[f128,f97]) ).
fof(f128,plain,
( ~ ilf_type(power_set(cross_product(sK6,sK7)),set_type)
| empty(power_set(cross_product(sK6,sK7)))
| ~ member(empty_set,power_set(cross_product(sK6,sK7))) ),
inference(subsumption_resolution,[],[f127,f97]) ).
fof(f127,plain,
( ~ ilf_type(empty_set,set_type)
| empty(power_set(cross_product(sK6,sK7)))
| ~ ilf_type(power_set(cross_product(sK6,sK7)),set_type)
| ~ member(empty_set,power_set(cross_product(sK6,sK7))) ),
inference(resolution,[],[f122,f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ilf_type(X0,member_type(X1))
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) )
& ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ) )
| ~ ilf_type(X1,set_type)
| empty(X1) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| ~ ilf_type(X1,set_type)
| empty(X1) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f122,plain,
~ ilf_type(empty_set,member_type(power_set(cross_product(sK6,sK7)))),
inference(unit_resulting_resolution,[],[f97,f97,f119,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) )
& ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,member_type(power_set(X0)))
<=> ilf_type(X1,subset_type(X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,member_type(power_set(X0)))
<=> ilf_type(X1,subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f119,plain,
~ ilf_type(empty_set,subset_type(cross_product(sK6,sK7))),
inference(unit_resulting_resolution,[],[f97,f97,f103,f112]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f103,plain,
~ ilf_type(empty_set,relation_type(sK6,sK7)),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ilf_type(sK7,set_type)
& ~ ilf_type(empty_set,relation_type(sK6,sK7))
& ilf_type(sK6,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f29,f66,f65]) ).
fof(f65,plain,
( ? [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& ~ ilf_type(empty_set,relation_type(X0,X1)) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ilf_type(X1,set_type)
& ~ ilf_type(empty_set,relation_type(sK6,X1)) )
& ilf_type(sK6,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
( ? [X1] :
( ilf_type(X1,set_type)
& ~ ilf_type(empty_set,relation_type(sK6,X1)) )
=> ( ilf_type(sK7,set_type)
& ~ ilf_type(empty_set,relation_type(sK6,sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& ~ ilf_type(empty_set,relation_type(X0,X1)) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(empty_set,relation_type(X0,X1)) ) ),
inference(negated_conjecture,[],[f22]) ).
fof(f22,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ilf_type(empty_set,relation_type(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_25) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET662+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:07:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (2773)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)
% 0.21/0.51 % (2791)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)
% 0.21/0.51 % (2773)Refutation not found, incomplete strategy% (2773)------------------------------
% 0.21/0.51 % (2773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (2773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (2773)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (2773)Memory used [KB]: 5884
% 0.21/0.51 % (2773)Time elapsed: 0.101 s
% 0.21/0.51 % (2773)Instructions burned: 2 (million)
% 0.21/0.51 % (2773)------------------------------
% 0.21/0.51 % (2773)------------------------------
% 0.21/0.51 % (2783)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (2792)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.51 % (2792)Refutation not found, incomplete strategy% (2792)------------------------------
% 0.21/0.51 % (2792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (2782)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)
% 0.21/0.52 % (2774)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)
% 0.21/0.52 % (2782)Instruction limit reached!
% 0.21/0.52 % (2782)------------------------------
% 0.21/0.52 % (2782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (2782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (2782)Termination reason: Unknown
% 0.21/0.52 % (2782)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (2782)Memory used [KB]: 5884
% 0.21/0.52 % (2782)Time elapsed: 0.002 s
% 0.21/0.52 % (2782)Instructions burned: 3 (million)
% 0.21/0.52 % (2782)------------------------------
% 0.21/0.52 % (2782)------------------------------
% 0.21/0.52 % (2779)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (2783)Instruction limit reached!
% 0.21/0.52 % (2783)------------------------------
% 0.21/0.52 % (2783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (2792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (2792)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (2792)Memory used [KB]: 1535
% 0.21/0.52 % (2792)Time elapsed: 0.057 s
% 0.21/0.52 % (2792)Instructions burned: 3 (million)
% 0.21/0.52 % (2792)------------------------------
% 0.21/0.52 % (2792)------------------------------
% 0.21/0.52 % (2783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (2783)Termination reason: Unknown
% 0.21/0.52 % (2783)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (2783)Memory used [KB]: 6012
% 0.21/0.52 % (2783)Time elapsed: 0.058 s
% 0.21/0.52 % (2783)Instructions burned: 7 (million)
% 0.21/0.52 % (2783)------------------------------
% 0.21/0.52 % (2783)------------------------------
% 0.21/0.52 % (2774)First to succeed.
% 0.21/0.53 % (2774)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (2774)------------------------------
% 0.21/0.53 % (2774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (2774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (2774)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (2774)Memory used [KB]: 6012
% 0.21/0.53 % (2774)Time elapsed: 0.072 s
% 0.21/0.53 % (2774)Instructions burned: 5 (million)
% 0.21/0.53 % (2774)------------------------------
% 0.21/0.53 % (2774)------------------------------
% 0.21/0.53 % (2762)Success in time 0.167 s
%------------------------------------------------------------------------------