%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET171+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:43:21 PM UTC 2026
% Result : Theorem 17.52s 3.23s
% Output : Refutation 17.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 100 ( 11 unt; 8 def)
% Number of atoms : 219 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 226 ( 107 ~; 101 |; 3 &)
% ( 13 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 92 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(f5,axiom,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X1)
| member(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',union) ).
fof(f12,conjecture,
! [X0,X1,X2] : equal_set(union(X0,intersection(X1,X2)),intersection(union(X0,X1),union(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI11) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2] : equal_set(union(X0,intersection(X1,X2)),intersection(union(X0,X1),union(X0,X2))),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f15,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f17,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f16]) ).
fof(f19,plain,
? [X0,X1,X2] : ~ equal_set(union(X0,intersection(X1,X2)),intersection(union(X0,X1),union(X0,X2))),
inference(ennf_transformation,[],[f13]) ).
fof(f21,plain,
! [X0,X1] :
( member(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f26,plain,
! [X2,X0,X1] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f4]) ).
fof(f27,plain,
! [X2,X0,X1] :
( member(X0,X1)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f4]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| ~ member(X0,X1)
| member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[],[f4]) ).
fof(f29,plain,
! [X2,X0,X1] :
( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ member(X0,X2)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ member(X0,X1)
| member(X0,union(X1,X2)) ),
inference(cnf_transformation,[],[f5]) ).
fof(f47,plain,
~ equal_set(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),
inference(cnf_transformation,[],[f19]) ).
fof(f51,plain,
! [X0,X1] :
( member(sK0(X0,X1),X1)
| ~ subset(X0,X1) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f52,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X0)
| ~ subset(X0,X1) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f54,plain,
! [X0,X1] :
( ~ equal_set(X0,X1)
| subset(X0,X1)
| subset(X1,X0) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f58,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f59,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X1) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f62,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f78,plain,
equal_set(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ subset(intersection(X0,X1),X2)
| ~ member(sK0(intersection(X0,X1),X2),X0) ),
inference(resolution,[],[f58,f52]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ subset(intersection(X0,X1),X2)
| ~ member(sK0(intersection(X0,X1),X2),X1) ),
inference(resolution,[],[f59,f52]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ subset(X0,union(X1,X2))
| member(sK0(X0,union(X1,X2)),X1) ),
inference(resolution,[],[f60,f51]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ subset(X0,union(X1,X2))
| member(sK0(X0,union(X1,X2)),X2) ),
inference(resolution,[],[f61,f51]) ).
fof(f101,plain,
( subset(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5)))
| subset(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))) ),
inference(resolution,[],[f54,f78]) ).
fof(f103,definition,
( spl6_1
<=> subset(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f105,plain,
( subset(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f107,definition,
( spl6_2
<=> subset(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f109,plain,
( subset(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5)))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f101,f107,f103]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ subset(X0,intersection(X1,X2))
| member(sK0(X0,intersection(X1,X2)),X2)
| member(sK0(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f57,f51]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ subset(union(X0,X1),X2)
| ~ member(sK0(union(X0,X1),X2),X1)
| ~ member(sK0(union(X0,X1),X2),X0) ),
inference(resolution,[],[f62,f52]) ).
fof(f861,plain,
( member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),union(sK3,sK5))
| member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),union(sK3,sK4))
| ~ spl6_2 ),
inference(resolution,[],[f132,f109]) ).
fof(f864,definition,
( spl6_3
<=> member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),union(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f865,plain,
( ~ member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),union(sK3,sK4))
| spl6_3 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f866,plain,
( member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),union(sK3,sK4))
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f868,definition,
( spl6_4
<=> member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),union(sK3,sK5)) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f870,plain,
( member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),union(sK3,sK5))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f881,definition,
( spl6_5
<=> member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f885,definition,
( spl6_6
<=> member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),intersection(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f887,plain,
( ~ member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),intersection(sK4,sK5))
| spl6_6 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f963,plain,
( member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),sK4)
| ~ spl6_3 ),
inference(resolution,[],[f866,f61]) ).
fof(f964,plain,
( member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),sK3)
| ~ spl6_3 ),
inference(resolution,[],[f866,f60]) ).
fof(f977,plain,
( spl6_5
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f964,f864,f881]) ).
fof(f998,plain,
( ~ member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),sK5)
| spl6_6 ),
inference(resolution,[],[f887,f59]) ).
fof(f999,plain,
( ~ member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),sK4)
| spl6_6 ),
inference(resolution,[],[f887,f58]) ).
fof(f1006,plain,
( $false
| ~ spl6_3
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f999,f963]) ).
fof(f1007,plain,
( ~ spl6_3
| spl6_6 ),
inference(avatar_contradiction_clause,[],[f1006]) ).
fof(f1008,plain,
( member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),intersection(sK4,sK5))
| ~ spl6_1 ),
inference(resolution,[],[f105,f90]) ).
fof(f1009,plain,
( member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK3)
| ~ spl6_1 ),
inference(resolution,[],[f105,f89]) ).
fof(f1014,plain,
( ~ member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),union(sK3,sK5))
| ~ spl6_1 ),
inference(resolution,[],[f105,f88]) ).
fof(f1015,plain,
( ~ member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),union(sK3,sK4))
| ~ spl6_1 ),
inference(resolution,[],[f105,f87]) ).
fof(f1057,definition,
( spl6_7
<=> member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK5) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f1061,definition,
( spl6_8
<=> member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f1065,plain,
( member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),union(sK3,sK5))
| ~ spl6_2
| spl6_3 ),
inference(forward_subsumption_resolution,[],[f861,f865]) ).
fof(f1066,plain,
( spl6_4
| ~ spl6_2
| spl6_3 ),
inference(avatar_split_clause,[],[f1065,f864,f107,f868]) ).
fof(f1113,plain,
( member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),sK5)
| ~ spl6_4 ),
inference(resolution,[],[f870,f61]) ).
fof(f1114,plain,
( member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),sK3)
| ~ spl6_4 ),
inference(resolution,[],[f870,f60]) ).
fof(f2623,plain,
( spl6_5
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f1114,f868,f881]) ).
fof(f2633,plain,
( ~ member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),intersection(sK4,sK5))
| ~ member(sK0(union(sK3,intersection(sK4,sK5)),intersection(union(sK3,sK4),union(sK3,sK5))),sK3)
| ~ spl6_2 ),
inference(resolution,[],[f109,f137]) ).
fof(f2634,plain,
( ~ spl6_5
| ~ spl6_6
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f2633,f107,f885,f881]) ).
fof(f2725,plain,
( member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK4)
| member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK5)
| ~ spl6_1 ),
inference(resolution,[],[f1008,f57]) ).
fof(f2736,plain,
( spl6_7
| spl6_8
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f2725,f103,f1061,f1057]) ).
fof(f2760,plain,
( ~ member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK3)
| ~ member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK5)
| ~ spl6_1 ),
inference(resolution,[],[f1014,f62]) ).
fof(f2787,plain,
( ~ member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK5)
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f2760,f1009]) ).
fof(f2788,plain,
( ~ spl6_7
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f2787,f103,f1057]) ).
fof(f2789,plain,
( ~ member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK3)
| ~ member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK4)
| ~ spl6_1 ),
inference(resolution,[],[f1015,f62]) ).
fof(f2809,plain,
( ~ member(sK0(intersection(union(sK3,sK4),union(sK3,sK5)),union(sK3,intersection(sK4,sK5))),sK4)
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f2789,f1009]) ).
fof(f2810,plain,
( ~ spl6_8
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f2809,f103,f1061]) ).
fof(f128015,plain,
( $false
| ~ spl6_4
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f1113,f998]) ).
fof(f128016,plain,
( ~ spl6_4
| spl6_6 ),
inference(avatar_contradiction_clause,[],[f128015]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f110]) ).
cnf(s5,plain,
( ~ spl6_3
| spl6_5 ),
inference(sat_conversion,[],[f977]) ).
cnf(s6,plain,
( ~ spl6_3
| spl6_6 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s8,plain,
( ~ spl6_2
| spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s25,plain,
( ~ spl6_4
| spl6_5 ),
inference(sat_conversion,[],[f2623]) ).
cnf(s29,plain,
( ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f2634]) ).
cnf(s34,plain,
( ~ spl6_1
| spl6_7
| spl6_8 ),
inference(sat_conversion,[],[f2736]) ).
cnf(s36,plain,
( ~ spl6_1
| ~ spl6_7 ),
inference(sat_conversion,[],[f2788]) ).
cnf(s38,plain,
( ~ spl6_1
| ~ spl6_8 ),
inference(sat_conversion,[],[f2810]) ).
cnf(s141,plain,
( ~ spl6_4
| spl6_6 ),
inference(sat_conversion,[],[f128016]) ).
cnf(s145,plain,
( ~ spl6_4
| ~ spl6_2 ),
inference(rat,[],[s29,s25,s141]) ).
cnf(s146,plain,
( spl6_4
| ~ spl6_2 ),
inference(rat,[],[s29,s5,s6,s8]) ).
cnf(s147,plain,
~ spl6_2,
inference(rat,[],[s146,s145]) ).
cnf(s148,plain,
spl6_1,
inference(rat,[],[s1,s147]) ).
cnf(s149,plain,
~ spl6_8,
inference(rat,[],[s38,s148]) ).
cnf(s150,plain,
~ spl6_7,
inference(rat,[],[s36,s148]) ).
cnf(s151,plain,
$false,
inference(rat,[],[s34,s149,s150,s148]) ).
fof(f128017,plain,
$false,
inference(avatar_sat_refutation,[],[s151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET171+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 01:03:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.24/2.72 % (2169186)Will run a generic schedule for satisfiability detection.
% 16.24/2.72 % (2169192)% WARNING: option uhcvi not known.
% 16.24/2.72 % (2169192)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1058773464:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.24/2.72 % (2169194)dis+10_1_sil=32000:sp=arity:random_seed=1233120588:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.24/2.72 % (2169191)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=609653168_2999 on theBenchmark for (2999ds/0Mi)
% 16.24/2.72 % (2169197)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1070913935:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.24/2.72 % (2169193)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2607780789:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.24/2.72 % (2169195)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1994855999:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.24/2.72 % (2169196)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=138879016:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.24/2.72 % TRYING [1]
% 16.24/2.72 % TRYING [2]
% 16.24/2.72 % TRYING [3]
% 16.24/2.72 % TRYING [4]
% 16.24/2.72 % TRYING [5]
% 16.24/2.72 % TRYING [6]
% 16.24/2.72 % TRYING [7]
% 16.24/2.72 % (2169194)Instruction limit reached!
% 16.24/2.72 % (2169194)------------------------------
% 16.24/2.72 % (2169194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.72 % (2169194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.72 % (2169194)CaDiCaL version: 2.1.3
% 16.24/2.72 % (2169194)Termination reason: Instruction limit
% 16.24/2.72 % (2169194)Termination phase: Saturation
% 16.24/2.72 % (2169194)Time elapsed: 0.063 s
% 16.24/2.72 % (2169194)Peak memory usage: 12 MB
% 16.24/2.72 % (2169194)Instructions burned: 104 (million)
% 16.24/2.72 % (2169195)Instruction limit reached!
% 16.24/2.72 % (2169195)------------------------------
% 16.24/2.72 % (2169195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.72 % (2169195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.72 % (2169195)CaDiCaL version: 2.1.3
% 16.24/2.72 % (2169195)Termination reason: Instruction limit
% 16.24/2.72 % (2169195)Termination phase: Saturation
% 16.24/2.72 % (2169195)Time elapsed: 0.069 s
% 16.24/2.72 % (2169195)Peak memory usage: 12 MB
% 16.24/2.72 % (2169195)Instructions burned: 117 (million)
% 16.24/2.72 % (2169196)Instruction limit reached!
% 16.24/2.72 % (2169196)------------------------------
% 16.24/2.72 % (2169196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.72 % (2169196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.72 % (2169196)CaDiCaL version: 2.1.3
% 16.24/2.72 % (2169196)Termination reason: Instruction limit
% 16.24/2.72 % (2169196)Termination phase: Saturation
% 16.24/2.72 % (2169196)Time elapsed: 0.081 s
% 16.24/2.72 % (2169196)Peak memory usage: 13 MB
% 16.24/2.72 % (2169196)Instructions burned: 131 (million)
% 16.24/2.72 % (2169205)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=564200542:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.24/2.72 % TRYING [1]
% 16.24/2.72 % TRYING [2]
% 16.24/2.72 % TRYING [3]
% 16.24/2.72 % TRYING [4]
% 16.24/2.72 % (2169206)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3025783320:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.24/2.72 % TRYING [5]
% 16.24/2.72 % (2169197)Instruction limit reached!
% 16.24/2.72 % (2169197)------------------------------
% 16.24/2.72 % (2169197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.24/2.72 % (2169197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.24/2.72 % (2169197)CaDiCaL version: 2.1.3
% 16.24/2.72 % (2169197)Termination reason: Instruction limit
% 16.24/2.72 % (2169197)Termination phase: Saturation
% 16.24/2.72 % (2169197)Time elapsed: 0.098 s
% 16.24/2.72 % (2169197)Peak memory usage: 13 MB
% 16.24/2.72 % (2169197)Instructions burned: 159 (million)
% 16.24/2.72 % (2169208)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1244701141:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.24/2.72 % TRYING [6]
% 16.24/2.72 % (2169210)ott-21_1_sil=16000:fs=off:random_seed=1607930451:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.24/2.72 % TRYING [8]
% 16.24/2.72 % (2169206)Instruction limit reached!
% 16.24/2.72 % (2169206)------------------------------
% 16.24/2.72 % (2169206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169206)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169206)Termination reason: Instruction limit
% 17.52/3.23 % (2169206)Termination phase: Saturation
% 17.52/3.23 % (2169206)Time elapsed: 0.082 s
% 17.52/3.23 % (2169206)Peak memory usage: 13 MB
% 17.52/3.23 % (2169206)Instructions burned: 131 (million)
% 17.52/3.23 % TRYING [7]
% 17.52/3.23 % (2169213)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1797052914:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 17.52/3.23 % (2169210)Instruction limit reached!
% 17.52/3.23 % (2169210)------------------------------
% 17.52/3.23 % (2169210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169210)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169210)Termination reason: Instruction limit
% 17.52/3.23 % (2169210)Termination phase: Saturation
% 17.52/3.23 % (2169210)Time elapsed: 0.097 s
% 17.52/3.23 % (2169210)Peak memory usage: 13 MB
% 17.52/3.23 % (2169210)Instructions burned: 181 (million)
% 17.52/3.23 % (2169215)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=434744345:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 17.52/3.23 % TRYING [1]
% 17.52/3.23 % TRYING [2]
% 17.52/3.23 % TRYING [3]
% 17.52/3.23 % TRYING [4]
% 17.52/3.23 % TRYING [5]
% 17.52/3.23 % TRYING [6]
% 17.52/3.23 % TRYING [7]
% 17.52/3.23 % TRYING [9]
% 17.52/3.23 % TRYING [8]
% 17.52/3.23 % TRYING [8]
% 17.52/3.23 % (2169205)Instruction limit reached!
% 17.52/3.23 % (2169205)------------------------------
% 17.52/3.23 % (2169205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169205)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169205)Termination reason: Instruction limit
% 17.52/3.23 % (2169205)Termination phase: Finite model building constraint generation
% 17.52/3.23 % (2169205)Time elapsed: 0.338 s
% 17.52/3.23 % (2169205)Peak memory usage: 19 MB
% 17.52/3.23 % (2169205)Instructions burned: 716 (million)
% 17.52/3.23 % (2169217)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2661760446:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 17.52/3.23 % (2169213)Instruction limit reached!
% 17.52/3.23 % (2169213)------------------------------
% 17.52/3.23 % (2169213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169213)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169213)Termination reason: Instruction limit
% 17.52/3.23 % (2169213)Termination phase: Saturation
% 17.52/3.23 % (2169213)Time elapsed: 0.294 s
% 17.52/3.23 % (2169213)Peak memory usage: 14 MB
% 17.52/3.23 % (2169213)Instructions burned: 478 (million)
% 17.52/3.23 % (2169208)Instruction limit reached!
% 17.52/3.23 % (2169208)------------------------------
% 17.52/3.23 % (2169208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169208)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169208)Termination reason: Instruction limit
% 17.52/3.23 % (2169208)Termination phase: Saturation
% 17.52/3.23 % (2169208)Time elapsed: 0.395 s
% 17.52/3.23 % (2169208)Peak memory usage: 18 MB
% 17.52/3.23 % (2169208)Instructions burned: 684 (million)
% 17.52/3.23 % (2169219)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2272137128:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 17.52/3.23 % (2169220)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1076715749:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 17.52/3.23 % TRYING [14]
% 17.52/3.23 % (2169215)Instruction limit reached!
% 17.52/3.23 % (2169215)------------------------------
% 17.52/3.23 % (2169215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169215)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169215)Termination reason: Instruction limit
% 17.52/3.23 % (2169215)Termination phase: Finite model building SAT solving
% 17.52/3.23 % (2169215)Time elapsed: 0.324 s
% 17.52/3.23 % (2169215)Peak memory usage: 18 MB
% 17.52/3.23 % (2169215)Instructions burned: 867 (million)
% 17.52/3.23 % (2169223)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3379294223:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 17.52/3.23 % (2169219)Instruction limit reached!
% 17.52/3.23 % (2169219)------------------------------
% 17.52/3.23 % (2169219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169219)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169219)Termination reason: Instruction limit
% 17.52/3.23 % (2169219)Termination phase: Finite model building SAT solving
% 17.52/3.23 % (2169219)Time elapsed: 0.353 s
% 17.52/3.23 % (2169219)Peak memory usage: 53 MB
% 17.52/3.23 % (2169219)Instructions burned: 891 (million)
% 17.52/3.23 % (2169225)fmb+10_1_sil=64000:random_seed=563529444:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 17.52/3.23 % TRYING [1]
% 17.52/3.23 % TRYING [2]
% 17.52/3.23 % TRYING [3]
% 17.52/3.23 % TRYING [4]
% 17.52/3.23 % TRYING [5]
% 17.52/3.23 % TRYING [6]
% 17.52/3.23 % (2169220)Instruction limit reached!
% 17.52/3.23 % (2169220)------------------------------
% 17.52/3.23 % (2169220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169220)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169220)Termination reason: Instruction limit
% 17.52/3.23 % (2169220)Termination phase: Saturation
% 17.52/3.23 % (2169220)Time elapsed: 0.436 s
% 17.52/3.23 % (2169220)Peak memory usage: 22 MB
% 17.52/3.23 % (2169220)Instructions burned: 693 (million)
% 17.52/3.23 % (2169227)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1855773965:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 17.52/3.23 % TRYING [20]
% 17.52/3.23 % TRYING [7]
% 17.52/3.23 % (2169223)Instruction limit reached!
% 17.52/3.23 % (2169223)------------------------------
% 17.52/3.23 % (2169223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169223)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169223)Termination reason: Instruction limit
% 17.52/3.23 % (2169223)Termination phase: Saturation
% 17.52/3.23 % (2169223)Time elapsed: 0.453 s
% 17.52/3.23 % (2169223)Peak memory usage: 21 MB
% 17.52/3.23 % (2169223)Instructions burned: 881 (million)
% 17.52/3.23 % (2169229)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3990603894:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 17.52/3.23 % TRYING [8]
% 17.52/3.23 % TRYING [8]
% 17.52/3.23 % TRYING [10]
% 17.52/3.23 % (2169217)Instruction limit reached!
% 17.52/3.23 % (2169217)------------------------------
% 17.52/3.23 % (2169217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169217)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169217)Termination reason: Instruction limit
% 17.52/3.23 % (2169217)Termination phase: Saturation
% 17.52/3.23 % (2169217)Time elapsed: 0.668 s
% 17.52/3.23 % (2169217)Peak memory usage: 24 MB
% 17.52/3.23 % (2169217)Instructions burned: 1179 (million)
% 17.52/3.23 % (2169231)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1761257377:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 17.52/3.23 % TRYING [9]
% 17.52/3.23 % TRYING [9]
% 17.52/3.23 % (2169229)Instruction limit reached!
% 17.52/3.23 % (2169229)------------------------------
% 17.52/3.23 % (2169229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169229)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169229)Termination reason: Instruction limit
% 17.52/3.23 % (2169229)Termination phase: Finite model building SAT solving
% 17.52/3.23 % (2169229)Time elapsed: 0.442 s
% 17.52/3.23 % (2169229)Peak memory usage: 24 MB
% 17.52/3.23 % (2169229)Instructions burned: 921 (million)
% 17.52/3.23 % (2169233)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2534499378:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 17.52/3.23 % TRYING [10]
% 17.52/3.23 % (2169233)Instruction limit reached!
% 17.52/3.23 % (2169233)------------------------------
% 17.52/3.23 % (2169233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169233)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169233)Termination reason: Instruction limit
% 17.52/3.23 % (2169233)Termination phase: Saturation
% 17.52/3.23 % (2169233)Time elapsed: 0.762 s
% 17.52/3.23 % (2169233)Peak memory usage: 23 MB
% 17.52/3.23 % (2169233)Instructions burned: 1473 (million)
% 17.52/3.23 % (2169235)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3571103222:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 17.52/3.23 % TRYING [77]
% 17.52/3.23 % (2169192) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2169186-2169192"...
% 17.52/3.23 % (2169192)...printing done.
% 17.52/3.23 % (2169192)Refutation found. Thanks to Tanya!
% 17.52/3.23 % SZS status Theorem for theBenchmark
% 17.52/3.23 % SZS output start Proof for theBenchmark
% See solution above
% 17.52/3.23 % (2169192)------------------------------
% 17.52/3.23 % (2169192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.52/3.23 % (2169192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.52/3.23 % (2169192)CaDiCaL version: 2.1.3
% 17.52/3.23 % (2169192)Termination reason: Refutation
% 17.52/3.23 % (2169192)Time elapsed: 2.748 s
% 17.52/3.23 % (2169192)Peak memory usage: 51 MB
% 17.52/3.23 % (2169192)Instructions burned: 10162 (million)
% 17.52/3.23 % (2169186)Success in time 2.819 s
% 17.52/3.23 % Vampire exiting
%------------------------------------------------------------------------------