TSTP Solution File: SEU323+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n022.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 18:28:45 EDT 2022
% Result : Theorem 1.70s 0.59s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 7 unt; 0 def)
% Number of atoms : 176 ( 5 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 199 ( 83 ~; 73 |; 26 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 52 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f171,plain,
$false,
inference(avatar_sat_refutation,[],[f117,f148,f166,f170]) ).
fof(f170,plain,
( ~ spl6_1
| spl6_6 ),
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f169,plain,
( $false
| ~ spl6_1
| spl6_6 ),
inference(subsumption_resolution,[],[f168,f93]) ).
fof(f93,plain,
( element(subset_complement(the_carrier(sK3),sK4),powerset(the_carrier(sK3)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl6_1
<=> element(subset_complement(the_carrier(sK3),sK4),powerset(the_carrier(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f168,plain,
( ~ element(subset_complement(the_carrier(sK3),sK4),powerset(the_carrier(sK3)))
| spl6_6 ),
inference(subsumption_resolution,[],[f167,f72]) ).
fof(f72,plain,
top_str(sK3),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( topological_space(sK3)
& ~ open_subset(interior(sK3,sK4),sK3)
& element(sK4,powerset(the_carrier(sK3)))
& top_str(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f28,f56,f55]) ).
fof(f55,plain,
( ? [X0] :
( topological_space(X0)
& ? [X1] :
( ~ open_subset(interior(X0,X1),X0)
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) )
=> ( topological_space(sK3)
& ? [X1] :
( ~ open_subset(interior(sK3,X1),sK3)
& element(X1,powerset(the_carrier(sK3))) )
& top_str(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X1] :
( ~ open_subset(interior(sK3,X1),sK3)
& element(X1,powerset(the_carrier(sK3))) )
=> ( ~ open_subset(interior(sK3,sK4),sK3)
& element(sK4,powerset(the_carrier(sK3))) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0] :
( topological_space(X0)
& ? [X1] :
( ~ open_subset(interior(X0,X1),X0)
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X0] :
( ? [X1] :
( ~ open_subset(interior(X0,X1),X0)
& element(X1,powerset(the_carrier(X0))) )
& topological_space(X0)
& top_str(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> open_subset(interior(X0,X1),X0) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> open_subset(interior(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_1) ).
fof(f167,plain,
( ~ top_str(sK3)
| ~ element(subset_complement(the_carrier(sK3),sK4),powerset(the_carrier(sK3)))
| spl6_6 ),
inference(resolution,[],[f124,f71]) ).
fof(f71,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ top_str(X0)
| element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ~ top_str(X1)
| element(topstr_closure(X1,X0),powerset(the_carrier(X1)))
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( element(topstr_closure(X1,X0),powerset(the_carrier(X1)))
| ~ element(X0,powerset(the_carrier(X1)))
| ~ top_str(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( element(X0,powerset(the_carrier(X1)))
& top_str(X1) )
=> element(topstr_closure(X1,X0),powerset(the_carrier(X1))) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0) )
=> element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f124,plain,
( ~ element(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),powerset(the_carrier(sK3)))
| spl6_6 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl6_6
<=> element(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),powerset(the_carrier(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f166,plain,
( spl6_10
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f165,f92,f145]) ).
fof(f145,plain,
( spl6_10
<=> closed_subset(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f165,plain,
( closed_subset(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),sK3)
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f164,f72]) ).
fof(f164,plain,
( closed_subset(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),sK3)
| ~ top_str(sK3)
| ~ spl6_1 ),
inference(subsumption_resolution,[],[f159,f75]) ).
fof(f75,plain,
topological_space(sK3),
inference(cnf_transformation,[],[f57]) ).
fof(f159,plain,
( ~ topological_space(sK3)
| closed_subset(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),sK3)
| ~ top_str(sK3)
| ~ spl6_1 ),
inference(resolution,[],[f93,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| closed_subset(topstr_closure(X1,X0),X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ topological_space(X1)
| ~ element(X0,powerset(the_carrier(X1)))
| closed_subset(topstr_closure(X1,X0),X1)
| ~ top_str(X1) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| closed_subset(topstr_closure(X0,X1),X0)
| ~ top_str(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( closed_subset(topstr_closure(X0,X1),X0)
| ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( topological_space(X0)
& element(X1,powerset(the_carrier(X0)))
& top_str(X0) )
=> closed_subset(topstr_closure(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
fof(f148,plain,
( ~ spl6_6
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f143,f145,f122]) ).
fof(f143,plain,
( ~ closed_subset(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),sK3)
| ~ element(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),powerset(the_carrier(sK3))) ),
inference(subsumption_resolution,[],[f142,f75]) ).
fof(f142,plain,
( ~ closed_subset(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),sK3)
| ~ element(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),powerset(the_carrier(sK3)))
| ~ topological_space(sK3) ),
inference(subsumption_resolution,[],[f141,f74]) ).
fof(f74,plain,
~ open_subset(interior(sK3,sK4),sK3),
inference(cnf_transformation,[],[f57]) ).
fof(f141,plain,
( open_subset(interior(sK3,sK4),sK3)
| ~ topological_space(sK3)
| ~ element(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),powerset(the_carrier(sK3)))
| ~ closed_subset(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),sK3) ),
inference(subsumption_resolution,[],[f119,f72]) ).
fof(f119,plain,
( ~ top_str(sK3)
| ~ topological_space(sK3)
| ~ closed_subset(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),sK3)
| open_subset(interior(sK3,sK4),sK3)
| ~ element(topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4)),powerset(the_carrier(sK3))) ),
inference(superposition,[],[f70,f85]) ).
fof(f85,plain,
subset_complement(the_carrier(sK3),topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4))) = interior(sK3,sK4),
inference(subsumption_resolution,[],[f81,f72]) ).
fof(f81,plain,
( ~ top_str(sK3)
| subset_complement(the_carrier(sK3),topstr_closure(sK3,subset_complement(the_carrier(sK3),sK4))) = interior(sK3,sK4) ),
inference(resolution,[],[f73,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ~ top_str(X0)
| ! [X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tops_1) ).
fof(f73,plain,
element(sK4,powerset(the_carrier(sK3))),
inference(cnf_transformation,[],[f57]) ).
fof(f70,plain,
! [X0,X1] :
( open_subset(subset_complement(the_carrier(X1),X0),X1)
| ~ closed_subset(X0,X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ element(X0,powerset(the_carrier(X1)))
| ~ closed_subset(X0,X1)
| open_subset(subset_complement(the_carrier(X1),X0),X1)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ closed_subset(X1,X0)
| open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| ~ closed_subset(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0)
& closed_subset(X1,X0) )
=> open_subset(subset_complement(the_carrier(X0),X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_tops_1) ).
fof(f117,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| spl6_1 ),
inference(subsumption_resolution,[],[f115,f73]) ).
fof(f115,plain,
( ~ element(sK4,powerset(the_carrier(sK3)))
| spl6_1 ),
inference(resolution,[],[f94,f69]) ).
fof(f69,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( element(subset_complement(X1,X0),powerset(X1))
| ~ element(X0,powerset(X1)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( element(X0,powerset(X1))
=> element(subset_complement(X1,X0),powerset(X1)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f94,plain,
( ~ element(subset_complement(the_carrier(sK3),sK4),powerset(the_carrier(sK3)))
| spl6_1 ),
inference(avatar_component_clause,[],[f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n022.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 : Tue Aug 30 15:11:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 % (8855)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)
% 1.46/0.55 % (8855)Refutation not found, incomplete strategy% (8855)------------------------------
% 1.46/0.55 % (8855)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.56 % (8870)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.46/0.56 % (8855)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.56 % (8855)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.56
% 1.46/0.56 % (8855)Memory used [KB]: 5884
% 1.46/0.56 % (8855)Time elapsed: 0.130 s
% 1.46/0.56 % (8855)Instructions burned: 2 (million)
% 1.46/0.56 % (8855)------------------------------
% 1.46/0.56 % (8855)------------------------------
% 1.46/0.56 % (8878)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)
% 1.70/0.57 % (8875)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)
% 1.70/0.57 % (8865)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.70/0.58 % (8864)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)
% 1.70/0.58 % (8853)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.70/0.58 % (8854)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)
% 1.70/0.58 % (8859)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)
% 1.70/0.58 % (8857)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)
% 1.70/0.58 % (8870)Instruction limit reached!
% 1.70/0.58 % (8870)------------------------------
% 1.70/0.58 % (8870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (8870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (8870)Termination reason: Unknown
% 1.70/0.58 % (8870)Termination phase: Finite model building preprocessing
% 1.70/0.58
% 1.70/0.58 % (8870)Memory used [KB]: 6012
% 1.70/0.58 % (8859)Refutation not found, incomplete strategy% (8859)------------------------------
% 1.70/0.58 % (8859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (8859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (8859)Termination reason: Refutation not found, incomplete strategy
% 1.70/0.58
% 1.70/0.58 % (8859)Memory used [KB]: 5884
% 1.70/0.58 % (8859)Time elapsed: 0.169 s
% 1.70/0.58 % (8859)Instructions burned: 2 (million)
% 1.70/0.58 % (8859)------------------------------
% 1.70/0.58 % (8859)------------------------------
% 1.70/0.58 % (8870)Time elapsed: 0.006 s
% 1.70/0.58 % (8870)Instructions burned: 4 (million)
% 1.70/0.58 % (8870)------------------------------
% 1.70/0.58 % (8870)------------------------------
% 1.70/0.58 % (8856)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)
% 1.70/0.58 % (8854)First to succeed.
% 1.70/0.58 % (8857)Refutation not found, incomplete strategy% (8857)------------------------------
% 1.70/0.58 % (8857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (8864)Instruction limit reached!
% 1.70/0.58 % (8864)------------------------------
% 1.70/0.58 % (8864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (8876)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)
% 1.70/0.58 % (8864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (8864)Termination reason: Unknown
% 1.70/0.58 % (8864)Termination phase: Saturation
% 1.70/0.58
% 1.70/0.58 % (8858)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)
% 1.70/0.58 % (8864)Memory used [KB]: 6012
% 1.70/0.58 % (8864)Time elapsed: 0.165 s
% 1.70/0.58 % (8864)Instructions burned: 8 (million)
% 1.70/0.58 % (8864)------------------------------
% 1.70/0.58 % (8864)------------------------------
% 1.70/0.59 % (8858)Also succeeded, but the first one will report.
% 1.70/0.59 % (8854)Refutation found. Thanks to Tanya!
% 1.70/0.59 % SZS status Theorem for theBenchmark
% 1.70/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.59 % (8854)------------------------------
% 1.70/0.59 % (8854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59 % (8854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59 % (8854)Termination reason: Refutation
% 1.70/0.59
% 1.70/0.59 % (8854)Memory used [KB]: 6012
% 1.70/0.59 % (8854)Time elapsed: 0.161 s
% 1.70/0.59 % (8854)Instructions burned: 3 (million)
% 1.70/0.59 % (8854)------------------------------
% 1.70/0.59 % (8854)------------------------------
% 1.70/0.59 % (8852)Success in time 0.238 s
%------------------------------------------------------------------------------