%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU322+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 12:52:52 PM UTC 2026
% Result : Theorem 52.92s 7.99s
% Output : Refutation 52.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 143 ( 20 unt; 8 def)
% Number of atoms : 406 ( 9 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 466 ( 203 ~; 207 |; 20 &)
% ( 16 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 169 ( 0 sgn 165 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] :
( one_sorted_str(X0)
=> ( empty_carrier(X0)
<=> empty(the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_struct_0) ).
fof(f18,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/sandbox2/benchmark/theBenchmark.p',d1_tops_1) ).
fof(f19,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f20,axiom,
! [X0,X1] :
( ( top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> element(interior(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tops_1) ).
fof(f23,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f24,axiom,
! [X0,X1] :
( ( top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f25,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f34,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f35,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,subset_complement(the_carrier(X0),X1))
<=> ~ in(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l40_tops_1) ).
fof(f42,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f43,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(interior(X0,X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_tops_1) ).
fof(f44,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(interior(X0,X1),X1) ) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f45,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(X1,topstr_closure(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_pre_topc) ).
fof(f46,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f47,axiom,
! [X0,X1,X2] :
( element(X2,powerset(X0))
=> ~ ( in(X1,subset_complement(X0,X2))
& in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_subset_1) ).
fof(f48,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f79,plain,
! [X0] :
( ( empty_carrier(X0)
<=> empty(the_carrier(X0)) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1)))
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f81,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f82,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f20]) ).
fof(f83,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f85,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f24]) ).
fof(f86,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f90,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,subset_complement(the_carrier(X0),X1))
<=> ~ in(X2,X1) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,subset_complement(the_carrier(X0),X1))
<=> ~ in(X2,X1) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f91]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ~ subset(interior(X0,X1),X1)
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( subset(X1,topstr_closure(X0,X1))
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f100,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f101,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ in(X1,subset_complement(X0,X2))
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ in(X1,subset_complement(X0,X2))
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f48]) ).
fof(f108,plain,
! [X0] :
( ( ( empty_carrier(X0)
| ~ empty(the_carrier(X0)) )
& ( empty(the_carrier(X0))
| ~ empty_carrier(X0) ) )
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f79]) ).
fof(f109,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f110,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f110]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,subset_complement(the_carrier(X0),X1))
| in(X2,X1) )
& ( ~ in(X2,X1)
| ~ in(X2,subset_complement(the_carrier(X0),X1)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f119,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f120,plain,
( ~ subset(interior(sK7,sK8),sK8)
& element(sK8,powerset(the_carrier(sK7)))
& top_str(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f98]) ).
fof(f146,plain,
! [X0] :
( empty(the_carrier(X0))
| ~ empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f148,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,[],[f80]) ).
fof(f149,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f150,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f151,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f152,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f83]) ).
fof(f153,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f154,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f155,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f166,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset_complement(X0,subset_complement(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f90]) ).
fof(f168,plain,
! [X2,X0,X1] :
( in(X2,subset_complement(the_carrier(X0),X1))
| in(X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f182,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f183,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f184,plain,
top_str(sK7),
inference(cnf_transformation,[],[f120]) ).
fof(f185,plain,
element(sK8,powerset(the_carrier(sK7))),
inference(cnf_transformation,[],[f120]) ).
fof(f186,plain,
~ subset(interior(sK7,sK8),sK8),
inference(cnf_transformation,[],[f120]) ).
fof(f187,plain,
! [X0,X1] :
( subset(X1,topstr_closure(X0,X1))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ in(X1,subset_complement(X0,X2))
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| ~ empty(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f203,plain,
one_sorted_str(sK7),
inference(resolution,[],[f155,f184]) ).
fof(f391,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| element(X0,X2)
| ~ in(X0,X1) ),
inference(resolution,[],[f188,f183]) ).
fof(f403,plain,
sK8 = subset_complement(the_carrier(sK7),subset_complement(the_carrier(sK7),sK8)),
inference(resolution,[],[f166,f185]) ).
fof(f406,plain,
! [X2,X0,X1] :
( in(X2,topstr_closure(X1,X0))
| ~ top_str(X1)
| ~ in(X2,X0)
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(resolution,[],[f187,f149]) ).
fof(f407,plain,
! [X2,X0,X1] :
( ~ in(sK0(subset_complement(X0,X1),X2),X1)
| ~ element(X1,powerset(X0))
| subset(subset_complement(X0,X1),X2) ),
inference(resolution,[],[f189,f150]) ).
fof(f412,definition,
( spl9_11
<=> element(subset_complement(the_carrier(sK7),sK8),powerset(the_carrier(sK7))) ),
introduced(definition,[new_symbols(definition,[spl9_11])],[avatar_definition]) ).
fof(f413,plain,
( element(subset_complement(the_carrier(sK7),sK8),powerset(the_carrier(sK7)))
| ~ spl9_11 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f414,plain,
( ~ element(subset_complement(the_carrier(sK7),sK8),powerset(the_carrier(sK7)))
| spl9_11 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f435,plain,
! [X0,X1] :
( subset(interior(X0,X1),the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(resolution,[],[f152,f182]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ in(X2,interior(X0,X1))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ empty(the_carrier(X0)) ),
inference(resolution,[],[f152,f190]) ).
fof(f438,plain,
( ~ element(sK8,powerset(the_carrier(sK7)))
| spl9_11 ),
inference(resolution,[],[f414,f153]) ).
fof(f440,plain,
( $false
| spl9_11 ),
inference(forward_subsumption_resolution,[],[f438,f185]) ).
fof(f441,plain,
spl9_11,
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f487,plain,
( interior(sK7,sK8) = subset_complement(the_carrier(sK7),topstr_closure(sK7,subset_complement(the_carrier(sK7),sK8)))
| ~ top_str(sK7) ),
inference(resolution,[],[f148,f185]) ).
fof(f490,plain,
interior(sK7,sK8) = subset_complement(the_carrier(sK7),topstr_closure(sK7,subset_complement(the_carrier(sK7),sK8))),
inference(forward_subsumption_resolution,[],[f487,f184]) ).
fof(f559,definition,
( spl9_22
<=> empty(the_carrier(sK7)) ),
introduced(definition,[new_symbols(definition,[spl9_22])],[avatar_definition]) ).
fof(f561,plain,
( ~ empty(the_carrier(sK7))
| spl9_22 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f578,plain,
! [X2,X0,X1] :
( ~ element(sK0(X0,subset_complement(the_carrier(X1),X2)),the_carrier(X1))
| in(sK0(X0,subset_complement(the_carrier(X1),X2)),X2)
| ~ element(X2,powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ one_sorted_str(X1)
| subset(X0,subset_complement(the_carrier(X1),X2)) ),
inference(resolution,[],[f168,f151]) ).
fof(f584,definition,
( spl9_25
<=> empty_carrier(sK7) ),
introduced(definition,[new_symbols(definition,[spl9_25])],[avatar_definition]) ).
fof(f585,plain,
( ~ empty_carrier(sK7)
| spl9_25 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f609,definition,
( spl9_27
<=> element(topstr_closure(sK7,subset_complement(the_carrier(sK7),sK8)),powerset(the_carrier(sK7))) ),
introduced(definition,[new_symbols(definition,[spl9_27])],[avatar_definition]) ).
fof(f611,plain,
( ~ element(topstr_closure(sK7,subset_complement(the_carrier(sK7),sK8)),powerset(the_carrier(sK7)))
| spl9_27 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f1216,definition,
( spl9_35
<=> subset(interior(sK7,sK8),the_carrier(sK7)) ),
introduced(definition,[new_symbols(definition,[spl9_35])],[avatar_definition]) ).
fof(f1217,plain,
( ~ subset(interior(sK7,sK8),the_carrier(sK7))
| spl9_35 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1218,plain,
( subset(interior(sK7,sK8),the_carrier(sK7))
| ~ spl9_35 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f1300,plain,
( ~ empty_carrier(sK7)
| ~ one_sorted_str(sK7)
| spl9_22 ),
inference(resolution,[],[f561,f146]) ).
fof(f1377,plain,
( ~ empty_carrier(sK7)
| spl9_22 ),
inference(forward_subsumption_resolution,[],[f1300,f203]) ).
fof(f1404,plain,
( ~ spl9_25
| spl9_22 ),
inference(avatar_split_clause,[],[f1377,f559,f584]) ).
fof(f2187,plain,
! [X2,X0,X1] :
( subset(interior(X1,X0),X2)
| ~ top_str(X1)
| ~ empty(the_carrier(X1))
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(resolution,[],[f437,f150]) ).
fof(f2198,plain,
! [X0] :
( ~ in(sK0(interior(sK7,sK8),X0),topstr_closure(sK7,subset_complement(the_carrier(sK7),sK8)))
| ~ element(topstr_closure(sK7,subset_complement(the_carrier(sK7),sK8)),powerset(the_carrier(sK7)))
| subset(interior(sK7,sK8),X0) ),
inference(superposition,[],[f407,f490]) ).
fof(f2415,definition,
( spl9_52
<=> ! [X0] :
( ~ in(X0,interior(sK7,sK8))
| element(X0,the_carrier(sK7)) ) ),
introduced(definition,[new_symbols(definition,[spl9_52])],[avatar_definition]) ).
fof(f2416,plain,
( ! [X0] :
( ~ in(X0,interior(sK7,sK8))
| element(X0,the_carrier(sK7)) )
| ~ spl9_52 ),
inference(avatar_component_clause,[],[f2415]) ).
fof(f2419,definition,
( spl9_53
<=> ! [X0] :
( ~ in(sK0(interior(sK7,sK8),X0),topstr_closure(sK7,subset_complement(the_carrier(sK7),sK8)))
| subset(interior(sK7,sK8),X0) ) ),
introduced(definition,[new_symbols(definition,[spl9_53])],[avatar_definition]) ).
fof(f2420,plain,
( ! [X0] :
( ~ in(sK0(interior(sK7,sK8),X0),topstr_closure(sK7,subset_complement(the_carrier(sK7),sK8)))
| subset(interior(sK7,sK8),X0) )
| ~ spl9_53 ),
inference(avatar_component_clause,[],[f2419]) ).
fof(f2421,plain,
( ~ spl9_27
| spl9_53 ),
inference(avatar_split_clause,[],[f2198,f2419,f609]) ).
fof(f2581,plain,
! [X0] :
( ~ element(sK0(X0,sK8),the_carrier(sK7))
| in(sK0(X0,sK8),subset_complement(the_carrier(sK7),sK8))
| ~ element(subset_complement(the_carrier(sK7),sK8),powerset(the_carrier(sK7)))
| empty_carrier(sK7)
| ~ one_sorted_str(sK7)
| subset(X0,sK8) ),
inference(superposition,[],[f578,f403]) ).
fof(f2586,plain,
( ! [X0] :
( ~ element(sK0(X0,sK8),the_carrier(sK7))
| in(sK0(X0,sK8),subset_complement(the_carrier(sK7),sK8))
| empty_carrier(sK7)
| ~ one_sorted_str(sK7)
| subset(X0,sK8) )
| ~ spl9_11 ),
inference(forward_subsumption_resolution,[],[f2581,f413]) ).
fof(f2589,plain,
( ! [X0] :
( ~ element(sK0(X0,sK8),the_carrier(sK7))
| in(sK0(X0,sK8),subset_complement(the_carrier(sK7),sK8))
| ~ one_sorted_str(sK7)
| subset(X0,sK8) )
| ~ spl9_11
| spl9_25 ),
inference(forward_subsumption_resolution,[],[f2586,f585]) ).
fof(f2595,plain,
( ! [X0] :
( in(sK0(X0,sK8),subset_complement(the_carrier(sK7),sK8))
| ~ element(sK0(X0,sK8),the_carrier(sK7))
| subset(X0,sK8) )
| ~ spl9_11
| spl9_25 ),
inference(forward_subsumption_resolution,[],[f2589,f203]) ).
fof(f2607,plain,
( ~ element(sK8,powerset(the_carrier(sK7)))
| ~ top_str(sK7)
| spl9_35 ),
inference(resolution,[],[f1217,f435]) ).
fof(f2609,plain,
( ~ top_str(sK7)
| spl9_35 ),
inference(forward_subsumption_resolution,[],[f2607,f185]) ).
fof(f2610,plain,
( $false
| spl9_35 ),
inference(forward_subsumption_resolution,[],[f2609,f184]) ).
fof(f2611,plain,
spl9_35,
inference(avatar_contradiction_clause,[],[f2610]) ).
fof(f2630,plain,
( ! [X0] :
( element(X0,the_carrier(sK7))
| ~ in(X0,interior(sK7,sK8)) )
| ~ spl9_35 ),
inference(resolution,[],[f1218,f391]) ).
fof(f2632,plain,
( spl9_52
| ~ spl9_35 ),
inference(avatar_split_clause,[],[f2630,f1216,f2415]) ).
fof(f2697,plain,
( ! [X0] :
( element(sK0(interior(sK7,sK8),X0),the_carrier(sK7))
| subset(interior(sK7,sK8),X0) )
| ~ spl9_52 ),
inference(resolution,[],[f2416,f150]) ).
fof(f2710,plain,
( ~ top_str(sK7)
| ~ element(subset_complement(the_carrier(sK7),sK8),powerset(the_carrier(sK7)))
| spl9_27 ),
inference(resolution,[],[f611,f154]) ).
fof(f2712,plain,
( ~ element(subset_complement(the_carrier(sK7),sK8),powerset(the_carrier(sK7)))
| spl9_27 ),
inference(forward_subsumption_resolution,[],[f2710,f184]) ).
fof(f2713,plain,
( $false
| ~ spl9_11
| spl9_27 ),
inference(forward_subsumption_resolution,[],[f2712,f413]) ).
fof(f2714,plain,
( ~ spl9_11
| spl9_27 ),
inference(avatar_contradiction_clause,[],[f2713]) ).
fof(f4443,plain,
( ! [X0] :
( subset(interior(sK7,sK8),X0)
| ~ top_str(sK7)
| ~ in(sK0(interior(sK7,sK8),X0),subset_complement(the_carrier(sK7),sK8))
| ~ element(subset_complement(the_carrier(sK7),sK8),powerset(the_carrier(sK7))) )
| ~ spl9_53 ),
inference(resolution,[],[f2420,f406]) ).
fof(f4449,plain,
( ! [X0] :
( subset(interior(sK7,sK8),X0)
| ~ in(sK0(interior(sK7,sK8),X0),subset_complement(the_carrier(sK7),sK8))
| ~ element(subset_complement(the_carrier(sK7),sK8),powerset(the_carrier(sK7))) )
| ~ spl9_53 ),
inference(forward_subsumption_resolution,[],[f4443,f184]) ).
fof(f4450,plain,
( ! [X0] :
( ~ in(sK0(interior(sK7,sK8),X0),subset_complement(the_carrier(sK7),sK8))
| subset(interior(sK7,sK8),X0) )
| ~ spl9_11
| ~ spl9_53 ),
inference(forward_subsumption_resolution,[],[f4449,f413]) ).
fof(f8546,plain,
( ~ top_str(sK7)
| ~ empty(the_carrier(sK7))
| ~ element(sK8,powerset(the_carrier(sK7))) ),
inference(resolution,[],[f2187,f186]) ).
fof(f9016,definition,
( spl9_408
<=> ! [X0] :
( element(sK0(interior(sK7,sK8),X0),the_carrier(sK7))
| subset(interior(sK7,sK8),X0) ) ),
introduced(definition,[new_symbols(definition,[spl9_408])],[avatar_definition]) ).
fof(f9017,plain,
( ! [X0] :
( element(sK0(interior(sK7,sK8),X0),the_carrier(sK7))
| subset(interior(sK7,sK8),X0) )
| ~ spl9_408 ),
inference(avatar_component_clause,[],[f9016]) ).
fof(f16328,plain,
( spl9_408
| ~ spl9_52 ),
inference(avatar_split_clause,[],[f2697,f2415,f9016]) ).
fof(f17191,plain,
( subset(interior(sK7,sK8),sK8)
| ~ element(sK0(interior(sK7,sK8),sK8),the_carrier(sK7))
| subset(interior(sK7,sK8),sK8)
| ~ spl9_11
| spl9_25
| ~ spl9_53 ),
inference(resolution,[],[f4450,f2595]) ).
fof(f17197,plain,
( subset(interior(sK7,sK8),sK8)
| ~ element(sK0(interior(sK7,sK8),sK8),the_carrier(sK7))
| ~ spl9_11
| spl9_25
| ~ spl9_53 ),
inference(duplicate_literal_removal,[],[f17191]) ).
fof(f17203,plain,
( subset(interior(sK7,sK8),sK8)
| ~ spl9_11
| spl9_25
| ~ spl9_53
| ~ spl9_408 ),
inference(forward_subsumption_resolution,[],[f17197,f9017]) ).
fof(f17205,plain,
( $false
| ~ spl9_11
| spl9_25
| ~ spl9_53
| ~ spl9_408 ),
inference(forward_subsumption_resolution,[],[f17203,f186]) ).
fof(f17206,plain,
( ~ spl9_11
| spl9_25
| ~ spl9_53
| ~ spl9_408 ),
inference(avatar_contradiction_clause,[],[f17205]) ).
fof(f18148,plain,
( ~ empty(the_carrier(sK7))
| ~ element(sK8,powerset(the_carrier(sK7))) ),
inference(forward_subsumption_resolution,[],[f8546,f184]) ).
fof(f21319,plain,
~ empty(the_carrier(sK7)),
inference(forward_subsumption_resolution,[],[f18148,f185]) ).
fof(f23516,plain,
~ spl9_22,
inference(avatar_split_clause,[],[f21319,f559]) ).
cnf(s18,plain,
spl9_11,
inference(sat_conversion,[],[f441]) ).
cnf(s161,plain,
( spl9_22
| ~ spl9_25 ),
inference(sat_conversion,[],[f1404]) ).
cnf(s202,plain,
( ~ spl9_27
| spl9_53 ),
inference(sat_conversion,[],[f2421]) ).
cnf(s276,plain,
spl9_35,
inference(sat_conversion,[],[f2611]) ).
cnf(s277,plain,
( ~ spl9_35
| spl9_52 ),
inference(sat_conversion,[],[f2632]) ).
cnf(s280,plain,
( ~ spl9_11
| spl9_27 ),
inference(sat_conversion,[],[f2714]) ).
cnf(s1362,plain,
( ~ spl9_52
| spl9_408 ),
inference(sat_conversion,[],[f16328]) ).
cnf(s1408,plain,
( ~ spl9_11
| spl9_25
| ~ spl9_53
| ~ spl9_408 ),
inference(sat_conversion,[],[f17206]) ).
cnf(s3934,plain,
~ spl9_22,
inference(sat_conversion,[],[f23516]) ).
cnf(s4464,plain,
spl9_52,
inference(rat,[],[s277,s276]) ).
cnf(s4465,plain,
spl9_408,
inference(rat,[],[s1362,s4464]) ).
cnf(s4472,plain,
~ spl9_25,
inference(rat,[],[s161,s3934]) ).
cnf(s4576,plain,
~ spl9_53,
inference(rat,[],[s1408,s4465,s4472,s18]) ).
cnf(s4578,plain,
spl9_27,
inference(rat,[],[s280,s18]) ).
cnf(s4580,plain,
$false,
inference(rat,[],[s202,s4576,s4578]) ).
fof(f23977,plain,
$false,
inference(avatar_sat_refutation,[],[s4580]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU322+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:36:21 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 16.17/2.73 % (3207329)Will run a generic schedule for satisfiability detection.
% 16.17/2.73 % (3207340)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2337354720:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.17/2.73 % (3207335)% WARNING: option uhcvi not known.
% 16.17/2.73 % (3207338)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3079039441:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.17/2.73 % (3207334)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1905460772_2999 on theBenchmark for (2999ds/0Mi)
% 16.17/2.73 % (3207335)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2588730244:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.17/2.73 % (3207336)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=353479821:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.17/2.73 % (3207339)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3890597708:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.17/2.73 % (3207337)dis+10_1_sil=32000:sp=arity:random_seed=3902556325:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.17/2.73 % TRYING [1]
% 16.17/2.73 % TRYING [2]
% 16.17/2.73 % TRYING [3]
% 16.17/2.73 % TRYING [4]
% 16.17/2.73 % TRYING [5]
% 16.17/2.73 % (3207340)Instruction limit reached!
% 16.17/2.73 % (3207340)------------------------------
% 16.17/2.73 % (3207340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.73 % (3207340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.73 % (3207340)CaDiCaL version: 2.1.3
% 16.17/2.73 % (3207340)Termination reason: Instruction limit
% 16.17/2.73 % (3207340)Termination phase: Saturation
% 16.17/2.73 % (3207340)Time elapsed: 0.057 s
% 16.17/2.73 % (3207340)Peak memory usage: 13 MB
% 16.17/2.73 % (3207340)Instructions burned: 161 (million)
% 16.17/2.73 % TRYING [6]
% 16.17/2.73 % (3207348)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4228065118:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.17/2.73 % TRYING [1]
% 16.17/2.73 % TRYING [2]
% 16.17/2.73 % TRYING [3]
% 16.17/2.73 % TRYING [4]
% 16.17/2.73 % (3207337)Instruction limit reached!
% 16.17/2.73 % (3207337)------------------------------
% 16.17/2.73 % (3207337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.73 % (3207337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.73 % (3207337)CaDiCaL version: 2.1.3
% 16.17/2.73 % (3207337)Termination reason: Instruction limit
% 16.17/2.73 % (3207337)Termination phase: Saturation
% 16.17/2.73 % (3207337)Time elapsed: 0.069 s
% 16.17/2.73 % (3207337)Peak memory usage: 13 MB
% 16.17/2.73 % (3207337)Instructions burned: 104 (million)
% 16.17/2.73 % TRYING [5]
% 16.17/2.73 % (3207338)Instruction limit reached!
% 16.17/2.73 % (3207338)------------------------------
% 16.17/2.73 % (3207338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.73 % (3207338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.73 % (3207338)CaDiCaL version: 2.1.3
% 16.17/2.73 % (3207338)Termination reason: Instruction limit
% 16.17/2.73 % (3207338)Termination phase: Saturation
% 16.17/2.73 % (3207338)Time elapsed: 0.077 s
% 16.17/2.73 % (3207338)Peak memory usage: 13 MB
% 16.17/2.73 % (3207338)Instructions burned: 116 (million)
% 16.17/2.73 % (3207339)Instruction limit reached!
% 16.17/2.73 % (3207339)------------------------------
% 16.17/2.73 % (3207339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.73 % (3207339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.73 % (3207339)CaDiCaL version: 2.1.3
% 16.17/2.73 % (3207339)Termination reason: Instruction limit
% 16.17/2.73 % (3207339)Termination phase: Saturation
% 16.17/2.73 % (3207339)Time elapsed: 0.089 s
% 16.17/2.73 % (3207339)Peak memory usage: 13 MB
% 16.17/2.73 % (3207339)Instructions burned: 132 (million)
% 16.17/2.73 % (3207350)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=863364031:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.17/2.73 % (3207351)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=3095789362:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.17/2.73 % (3207353)ott-21_1_sil=16000:fs=off:random_seed=2953582892:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.17/2.73 % TRYING [6]
% 16.17/2.73 % (3207350)Instruction limit reached!
% 16.17/2.73 % (3207350)------------------------------
% 16.17/2.73 % (3207350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.63/7.75 % (3207350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.63/7.75 % (3207350)CaDiCaL version: 2.1.3
% 51.63/7.75 % (3207350)Termination reason: Instruction limit
% 51.63/7.75 % (3207350)Termination phase: Saturation
% 51.63/7.75 % (3207350)Time elapsed: 0.083 s
% 51.63/7.75 % (3207350)Peak memory usage: 13 MB
% 51.63/7.75 % (3207350)Instructions burned: 131 (million)
% 51.63/7.75 % (3207356)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=822441820:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 51.63/7.75 % (3207353)Instruction limit reached!
% 51.63/7.75 % (3207353)------------------------------
% 51.63/7.75 % (3207353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.63/7.75 % (3207353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.63/7.75 % (3207353)CaDiCaL version: 2.1.3
% 51.63/7.75 % (3207353)Termination reason: Instruction limit
% 51.63/7.75 % (3207353)Termination phase: Saturation
% 51.63/7.75 % (3207353)Time elapsed: 0.093 s
% 51.63/7.75 % (3207353)Peak memory usage: 13 MB
% 51.63/7.75 % (3207353)Instructions burned: 181 (million)
% 51.63/7.75 % TRYING [7]
% 51.63/7.75 % (3207358)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=472628611:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 51.63/7.75 % TRYING [1]
% 51.63/7.75 % TRYING [2]
% 51.63/7.75 % TRYING [3]
% 51.63/7.75 % TRYING [4]
% 51.63/7.75 % TRYING [5]
% 51.63/7.75 % (3207348)Instruction limit reached!
% 51.63/7.75 % (3207348)------------------------------
% 51.63/7.75 % (3207348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.63/7.75 % (3207348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.63/7.75 % (3207348)CaDiCaL version: 2.1.3
% 51.63/7.75 % (3207348)Termination reason: Instruction limit
% 51.63/7.75 % (3207348)Termination phase: Finite model building SAT solving
% 51.63/7.75 % (3207348)Time elapsed: 0.219 s
% 51.63/7.75 % (3207348)Peak memory usage: 20 MB
% 51.63/7.75 % (3207348)Instructions burned: 717 (million)
% 51.63/7.75 % (3207360)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1795126479:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 51.63/7.75 % TRYING [6]
% 51.63/7.75 % TRYING [7]
% 51.63/7.75 % (3207351)Instruction limit reached!
% 51.63/7.75 % (3207351)------------------------------
% 51.63/7.75 % (3207351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.63/7.75 % (3207351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.63/7.75 % (3207351)CaDiCaL version: 2.1.3
% 51.63/7.75 % (3207351)Termination reason: Instruction limit
% 51.63/7.75 % (3207351)Termination phase: Saturation
% 51.63/7.75 % (3207351)Time elapsed: 0.365 s
% 51.63/7.75 % (3207351)Peak memory usage: 17 MB
% 51.63/7.75 % (3207351)Instructions burned: 684 (million)
% 51.63/7.75 % (3207362)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=973282836:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 51.63/7.75 % TRYING [14]
% 51.63/7.75 % (3207356)Instruction limit reached!
% 51.63/7.75 % (3207356)------------------------------
% 51.63/7.75 % (3207356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.63/7.75 % (3207356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.63/7.75 % (3207356)CaDiCaL version: 2.1.3
% 51.63/7.75 % (3207356)Termination reason: Instruction limit
% 51.63/7.75 % (3207356)Termination phase: Saturation
% 51.63/7.75 % (3207356)Time elapsed: 0.336 s
% 51.63/7.75 % (3207356)Peak memory usage: 14 MB
% 51.63/7.75 % (3207356)Instructions burned: 477 (million)
% 51.63/7.75 % (3207364)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=4011610287: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)
% 51.63/7.75 % (3207358)Instruction limit reached!
% 51.63/7.75 % (3207358)------------------------------
% 51.63/7.75 % (3207358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.63/7.75 % (3207358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.63/7.75 % (3207358)CaDiCaL version: 2.1.3
% 51.63/7.75 % (3207358)Termination reason: Instruction limit
% 51.63/7.75 % (3207358)Termination phase: Finite model building SAT solving
% 51.63/7.75 % (3207358)Time elapsed: 0.358 s
% 51.63/7.75 % (3207358)Peak memory usage: 16 MB
% 51.63/7.75 % (3207358)Instructions burned: 866 (million)
% 51.63/7.75 % (3207366)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=357652246:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 52.92/7.99 % (3207360)Instruction limit reached!
% 52.92/7.99 % (3207360)------------------------------
% 52.92/7.99 % (3207360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207360)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207360)Termination reason: Instruction limit
% 52.92/7.99 % (3207360)Termination phase: Saturation
% 52.92/7.99 % (3207360)Time elapsed: 0.381 s
% 52.92/7.99 % (3207360)Peak memory usage: 23 MB
% 52.92/7.99 % (3207360)Instructions burned: 1181 (million)
% 52.92/7.99 % (3207368)fmb+10_1_sil=64000:random_seed=3333238216:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 52.92/7.99 % TRYING [1]
% 52.92/7.99 % TRYING [2]
% 52.92/7.99 % TRYING [3]
% 52.92/7.99 % TRYING [4]
% 52.92/7.99 % TRYING [5]
% 52.92/7.99 % TRYING [6]
% 52.92/7.99 % TRYING [7]
% 52.92/7.99 % (3207362)Instruction limit reached!
% 52.92/7.99 % (3207362)------------------------------
% 52.92/7.99 % (3207362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207362)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207362)Termination reason: Instruction limit
% 52.92/7.99 % (3207362)Termination phase: Finite model building SAT solving
% 52.92/7.99 % (3207362)Time elapsed: 0.338 s
% 52.92/7.99 % (3207362)Peak memory usage: 45 MB
% 52.92/7.99 % (3207362)Instructions burned: 891 (million)
% 52.92/7.99 % (3207370)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3531260868:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 52.92/7.99 % TRYING [20]
% 52.92/7.99 % (3207364)Instruction limit reached!
% 52.92/7.99 % (3207364)------------------------------
% 52.92/7.99 % (3207364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207364)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207364)Termination reason: Instruction limit
% 52.92/7.99 % (3207364)Termination phase: Saturation
% 52.92/7.99 % (3207364)Time elapsed: 0.435 s
% 52.92/7.99 % (3207364)Peak memory usage: 21 MB
% 52.92/7.99 % (3207364)Instructions burned: 692 (million)
% 52.92/7.99 % (3207372)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=192429656:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 52.92/7.99 % TRYING [8]
% 52.92/7.99 % (3207366)Instruction limit reached!
% 52.92/7.99 % (3207366)------------------------------
% 52.92/7.99 % (3207366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207366)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207366)Termination reason: Instruction limit
% 52.92/7.99 % (3207366)Termination phase: Saturation
% 52.92/7.99 % (3207366)Time elapsed: 0.524 s
% 52.92/7.99 % (3207366)Peak memory usage: 19 MB
% 52.92/7.99 % (3207366)Instructions burned: 880 (million)
% 52.92/7.99 % (3207374)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3333592299:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 52.92/7.99 % TRYING [8]
% 52.92/7.99 % (3207372)Instruction limit reached!
% 52.92/7.99 % (3207372)------------------------------
% 52.92/7.99 % (3207372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207372)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207372)Termination reason: Instruction limit
% 52.92/7.99 % (3207372)Termination phase: Finite model building SAT solving
% 52.92/7.99 % (3207372)Time elapsed: 0.511 s
% 52.92/7.99 % (3207372)Peak memory usage: 26 MB
% 52.92/7.99 % (3207372)Instructions burned: 920 (million)
% 52.92/7.99 % (3207376)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2779069219:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 52.92/7.99 % TRYING [8]
% 52.92/7.99 % (3207376)Instruction limit reached!
% 52.92/7.99 % (3207376)------------------------------
% 52.92/7.99 % (3207376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207376)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207376)Termination reason: Instruction limit
% 52.92/7.99 % (3207376)Termination phase: Saturation
% 52.92/7.99 % (3207376)Time elapsed: 0.715 s
% 52.92/7.99 % (3207376)Peak memory usage: 28 MB
% 52.92/7.99 % (3207376)Instructions burned: 1474 (million)
% 52.92/7.99 % (3207378)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1551218487:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 52.92/7.99 % TRYING [77]
% 52.92/7.99 % (3207374)Instruction limit reached!
% 52.92/7.99 % (3207374)------------------------------
% 52.92/7.99 % (3207374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207374)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207374)Termination reason: Instruction limit
% 52.92/7.99 % (3207374)Termination phase: Saturation
% 52.92/7.99 % (3207374)Time elapsed: 3.013 s
% 52.92/7.99 % (3207374)Peak memory usage: 29 MB
% 52.92/7.99 % (3207374)Instructions burned: 5132 (million)
% 52.92/7.99 % (3207380)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2504407569:fmbsr=2.30978:i=2174_2958 on theBenchmark for (2958ds/2174Mi)
% 52.92/7.99 % TRYING [16]
% 52.92/7.99 % (3207378)Instruction limit reached!
% 52.92/7.99 % (3207378)------------------------------
% 52.92/7.99 % (3207378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207378)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207378)Termination reason: Instruction limit
% 52.92/7.99 % (3207378)Termination phase: Finite model building constraint generation
% 52.92/7.99 % (3207378)Time elapsed: 2.185 s
% 52.92/7.99 % (3207378)Peak memory usage: 407 MB
% 52.92/7.99 % (3207378)Instructions burned: 6325 (million)
% 52.92/7.99 % (3207382)ott-2_1_sil=16000:newcnf=on:random_seed=3563265116:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 52.92/7.99 % (3207380)Instruction limit reached!
% 52.92/7.99 % (3207380)------------------------------
% 52.92/7.99 % (3207380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207380)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207380)Termination reason: Instruction limit
% 52.92/7.99 % (3207380)Termination phase: Finite model building constraint generation
% 52.92/7.99 % (3207380)Time elapsed: 0.809 s
% 52.92/7.99 % (3207380)Peak memory usage: 165 MB
% 52.92/7.99 % (3207380)Instructions burned: 2174 (million)
% 52.92/7.99 % (3207384)ott+10_1_sil=32000:tgt=ground:random_seed=864016072:i=5114:av=off_2949 on theBenchmark for (2949ds/5114Mi)
% 52.92/7.99 % (3207382)Instruction limit reached!
% 52.92/7.99 % (3207382)------------------------------
% 52.92/7.99 % (3207382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207382)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207382)Termination reason: Instruction limit
% 52.92/7.99 % (3207382)Termination phase: Saturation
% 52.92/7.99 % (3207382)Time elapsed: 0.566 s
% 52.92/7.99 % (3207382)Peak memory usage: 18 MB
% 52.92/7.99 % (3207382)Instructions burned: 869 (million)
% 52.92/7.99 % (3207386)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=492684884:i=54282_2948 on theBenchmark for (2948ds/54282Mi)
% 52.92/7.99 % TRYING [1]
% 52.92/7.99 % TRYING [2]
% 52.92/7.99 % TRYING [3]
% 52.92/7.99 % TRYING [4]
% 52.92/7.99 % TRYING [5]
% 52.92/7.99 % TRYING [6]
% 52.92/7.99 % TRYING [7]
% 52.92/7.99 % (3207370)Instruction limit reached!
% 52.92/7.99 % (3207370)------------------------------
% 52.92/7.99 % (3207370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207370)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207370)Termination reason: Instruction limit
% 52.92/7.99 % (3207370)Termination phase: Finite model building SAT solving
% 52.92/7.99 % (3207370)Time elapsed: 5.465 s
% 52.92/7.99 % (3207370)Peak memory usage: 202 MB
% 52.92/7.99 % (3207370)Instructions burned: 9515 (million)
% 52.92/7.99 % (3207388)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1854645683:i=3512:aac=none_2936 on theBenchmark for (2936ds/3512Mi)
% 52.92/7.99 % TRYING [8]
% 52.92/7.99 % (3207368)Instruction limit reached!
% 52.92/7.99 % (3207368)------------------------------
% 52.92/7.99 % (3207368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207368)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207368)Termination reason: Instruction limit
% 52.92/7.99 % (3207368)Termination phase: Finite model building SAT solving
% 52.92/7.99 % (3207368)Time elapsed: 6.604 s
% 52.92/7.99 % (3207368)Peak memory usage: 27 MB
% 52.92/7.99 % (3207368)Instructions burned: 22063 (million)
% 52.92/7.99 % (3207390)dis+21_1_sil=32000:sas=cadical:random_seed=2219446956:i=3773:amm=off_2926 on theBenchmark for (2926ds/3773Mi)
% 52.92/7.99 % (3207390) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3207329-3207390"...
% 52.92/7.99 % (3207390)...printing done.
% 52.92/7.99 % (3207390)Refutation found. Thanks to Tanya!
% 52.92/7.99 % SZS status Theorem for theBenchmark
% 52.92/7.99 % SZS output start Proof for theBenchmark
% See solution above
% 52.92/7.99 % (3207390)------------------------------
% 52.92/7.99 % (3207390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.92/7.99 % (3207390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.92/7.99 % (3207390)CaDiCaL version: 2.1.3
% 52.92/7.99 % (3207390)Termination reason: Refutation
% 52.92/7.99 % (3207390)Time elapsed: 0.223 s
% 52.92/7.99 % (3207390)Peak memory usage: 21 MB
% 52.92/7.99 % (3207390)Instructions burned: 715 (million)
% 52.92/7.99 % (3207329)Success in time 7.574 s
% 52.92/7.99 % Vampire exiting
%------------------------------------------------------------------------------