%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU313+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:48:17 PM UTC 2026
% Result : Theorem 87.18s 15.20s
% Output : Refutation 101.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 28
% Syntax : Number of formulae : 241 ( 18 unt; 10 def)
% Number of atoms : 987 ( 62 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 1289 ( 543 ~; 594 |; 89 &)
% ( 23 <=>; 38 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 11 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 333 ( 0 sgn 303 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( X2 = topstr_closure(X0,X1)
<=> ! [X3] :
( in(X3,the_carrier(X0))
=> ( in(X3,X2)
<=> ! [X4] :
( element(X4,powerset(the_carrier(X0)))
=> ~ ( open_subset(X4,X0)
& in(X3,X4)
& disjoint(X1,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_pre_topc) ).
fof(f66,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f98,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,X1) = set_difference(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
fof(f102,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( closed_subset(X1,X0)
<=> open_subset(subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_pre_topc) ).
fof(f145,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(f158,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(f167,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f247,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(f261,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_subset_1) ).
fof(f268,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f304,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X0))
& element(X2,powerset(X0)) )
=> subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
fof(f353,axiom,
! [X0] :
( one_sorted_str(X0)
=> cast_as_carrier_subset(X0) = the_carrier(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f377,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset_complement(the_carrier(X0),X1) = subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_pre_topc) ).
fof(f447,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( element(X2,powerset(X0))
=> ( disjoint(X1,X2)
<=> subset(X1,subset_complement(X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_subset_1) ).
fof(f450,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( in(X2,the_carrier(X0))
=> ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( ( closed_subset(X3,X0)
& subset(X1,X3) )
=> in(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_pre_topc) ).
fof(f451,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( in(X2,the_carrier(X0))
=> ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( ( closed_subset(X3,X0)
& subset(X1,X3) )
=> in(X2,X3) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f450]) ).
fof(f464,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f467,axiom,
! [X0] :
( X0 != empty_set
=> ! [X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( element(X2,X0)
=> ( ~ in(X2,X1)
=> in(X2,subset_complement(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_subset_1) ).
fof(f470,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(f599,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = topstr_closure(X0,X1)
<=> ! [X3] :
( ( in(X3,X2)
<=> ! [X4] :
( ~ open_subset(X4,X0)
| ~ in(X3,X4)
| ~ disjoint(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) ) )
| ~ in(X3,the_carrier(X0)) ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f600,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = topstr_closure(X0,X1)
<=> ! [X3] :
( ( in(X3,X2)
<=> ! [X4] :
( ~ open_subset(X4,X0)
| ~ in(X3,X4)
| ~ disjoint(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) ) )
| ~ in(X3,the_carrier(X0)) ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(flattening,[],[f599]) ).
fof(f648,plain,
! [X0,X1] :
( subset_complement(X0,X1) = set_difference(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f98]) ).
fof(f650,plain,
! [X0] :
( ! [X1] :
( ( closed_subset(X1,X0)
<=> open_subset(subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1),X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f681,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f145]) ).
fof(f692,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f158]) ).
fof(f693,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f692]) ).
fof(f701,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f167]) ).
fof(f772,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f247]) ).
fof(f784,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f261]) ).
fof(f791,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ),
inference(ennf_transformation,[],[f268]) ).
fof(f812,plain,
! [X0,X1,X2] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f304]) ).
fof(f813,plain,
! [X0,X1,X2] :
( subset_difference(X0,X1,X2) = set_difference(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f812]) ).
fof(f883,plain,
! [X0] :
( cast_as_carrier_subset(X0) = the_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f353]) ).
fof(f917,plain,
! [X0] :
( ! [X1] :
( subset_complement(the_carrier(X0),X1) = subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f377]) ).
fof(f1000,plain,
! [X0,X1] :
( ! [X2] :
( ( disjoint(X1,X2)
<=> subset(X1,subset_complement(X0,X2)) )
| ~ element(X2,powerset(X0)) )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f447]) ).
fof(f1004,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,topstr_closure(X0,X1))
<~> ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) ) )
& in(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f451]) ).
fof(f1005,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,topstr_closure(X0,X1))
<~> ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) ) )
& in(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(flattening,[],[f1004]) ).
fof(f1023,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f464]) ).
fof(f1024,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f1023]) ).
fof(f1027,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0) )
| ~ element(X1,powerset(X0)) )
| empty_set = X0 ),
inference(ennf_transformation,[],[f467]) ).
fof(f1028,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0) )
| ~ element(X1,powerset(X0)) )
| empty_set = X0 ),
inference(flattening,[],[f1027]) ).
fof(f1033,plain,
! [X0,X1,X2] :
( ~ in(X1,subset_complement(X0,X2))
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f470]) ).
fof(f1034,plain,
! [X0,X1,X2] :
( ~ in(X1,subset_complement(X0,X2))
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f1033]) ).
fof(f1147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = topstr_closure(X0,X1)
| ? [X3] :
( ( ? [X4] :
( open_subset(X4,X0)
& in(X3,X4)
& disjoint(X1,X4)
& element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,X2) )
& ( ! [X4] :
( ~ open_subset(X4,X0)
| ~ in(X3,X4)
| ~ disjoint(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| in(X3,X2) )
& in(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ? [X4] :
( open_subset(X4,X0)
& in(X3,X4)
& disjoint(X1,X4)
& element(X4,powerset(the_carrier(X0))) ) )
& ( ! [X4] :
( ~ open_subset(X4,X0)
| ~ in(X3,X4)
| ~ disjoint(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| ~ in(X3,the_carrier(X0)) )
| topstr_closure(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f600]) ).
fof(f1148,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = topstr_closure(X0,X1)
| ? [X3] :
( ( ? [X4] :
( open_subset(X4,X0)
& in(X3,X4)
& disjoint(X1,X4)
& element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,X2) )
& ( ! [X4] :
( ~ open_subset(X4,X0)
| ~ in(X3,X4)
| ~ disjoint(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| in(X3,X2) )
& in(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ? [X4] :
( open_subset(X4,X0)
& in(X3,X4)
& disjoint(X1,X4)
& element(X4,powerset(the_carrier(X0))) ) )
& ( ! [X4] :
( ~ open_subset(X4,X0)
| ~ in(X3,X4)
| ~ disjoint(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,X2) ) )
| ~ in(X3,the_carrier(X0)) )
| topstr_closure(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(flattening,[],[f1147]) ).
fof(f1149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = topstr_closure(X0,X1)
| ? [X3] :
( ( ? [X4] :
( open_subset(X4,X0)
& in(X3,X4)
& disjoint(X1,X4)
& element(X4,powerset(the_carrier(X0))) )
| ~ in(X3,X2) )
& ( ! [X5] :
( ~ open_subset(X5,X0)
| ~ in(X3,X5)
| ~ disjoint(X1,X5)
| ~ element(X5,powerset(the_carrier(X0))) )
| in(X3,X2) )
& in(X3,the_carrier(X0)) ) )
& ( ! [X6] :
( ( ( in(X6,X2)
| ? [X7] :
( open_subset(X7,X0)
& in(X6,X7)
& disjoint(X1,X7)
& element(X7,powerset(the_carrier(X0))) ) )
& ( ! [X8] :
( ~ open_subset(X8,X0)
| ~ in(X6,X8)
| ~ disjoint(X1,X8)
| ~ element(X8,powerset(the_carrier(X0))) )
| ~ in(X6,X2) ) )
| ~ in(X6,the_carrier(X0)) )
| topstr_closure(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(rectify,[],[f1148]) ).
fof(f1150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = topstr_closure(X0,X1)
| ( ( ( open_subset(sK32(X0,X1,X2),X0)
& in(sK31(X0,X1,X2),sK32(X0,X1,X2))
& disjoint(X1,sK32(X0,X1,X2))
& element(sK32(X0,X1,X2),powerset(the_carrier(X0))) )
| ~ in(sK31(X0,X1,X2),X2) )
& ( ! [X5] :
( ~ open_subset(X5,X0)
| ~ in(sK31(X0,X1,X2),X5)
| ~ disjoint(X1,X5)
| ~ element(X5,powerset(the_carrier(X0))) )
| in(sK31(X0,X1,X2),X2) )
& in(sK31(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X6] :
( ( ( in(X6,X2)
| ( open_subset(sK33(X0,X1,X6),X0)
& in(X6,sK33(X0,X1,X6))
& disjoint(X1,sK33(X0,X1,X6))
& element(sK33(X0,X1,X6),powerset(the_carrier(X0))) ) )
& ( ! [X8] :
( ~ open_subset(X8,X0)
| ~ in(X6,X8)
| ~ disjoint(X1,X8)
| ~ element(X8,powerset(the_carrier(X0))) )
| ~ in(X6,X2) ) )
| ~ in(X6,the_carrier(X0)) )
| topstr_closure(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32,sK33]),skolemize(X3,sK31(X0,X1,X2)),skolemize(X4,sK32(X0,X1,X2)),skolemize(X7,sK33(X0,X1,X6))],[f1149]) ).
fof(f1199,plain,
! [X0] :
( ( X0 = empty_set
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f1200,plain,
! [X0] :
( ( X0 = empty_set
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f1199]) ).
fof(f1201,plain,
! [X0] :
( ( X0 = empty_set
| in(sK61(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(X1,sK61(X0))],[f1200]) ).
fof(f1281,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subset(X1,X0)
| ~ open_subset(subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1),X0) )
& ( open_subset(subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1),X0)
| ~ closed_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f650]) ).
fof(f1339,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ( ~ in(sK137(X0,X1),X1)
& in(sK137(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK137]),skolemize(X2,sK137(X0,X1))],[f791]) ).
fof(f1554,plain,
! [X0,X1] :
( ! [X2] :
( ( ( disjoint(X1,X2)
| ~ subset(X1,subset_complement(X0,X2)) )
& ( subset(X1,subset_complement(X0,X2))
| ~ disjoint(X1,X2) ) )
| ~ element(X2,powerset(X0)) )
| ~ element(X1,powerset(X0)) ),
inference(nnf_transformation,[],[f1000]) ).
fof(f1556,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ? [X3] :
( ~ in(X2,X3)
& closed_subset(X3,X0)
& subset(X1,X3)
& element(X3,powerset(the_carrier(X0))) )
| ~ in(X2,topstr_closure(X0,X1)) )
& ( ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) )
| in(X2,topstr_closure(X0,X1)) )
& in(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(nnf_transformation,[],[f1005]) ).
fof(f1557,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ? [X3] :
( ~ in(X2,X3)
& closed_subset(X3,X0)
& subset(X1,X3)
& element(X3,powerset(the_carrier(X0))) )
| ~ in(X2,topstr_closure(X0,X1)) )
& ( ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) )
| in(X2,topstr_closure(X0,X1)) )
& in(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(flattening,[],[f1556]) ).
fof(f1558,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ? [X3] :
( ~ in(X2,X3)
& closed_subset(X3,X0)
& subset(X1,X3)
& element(X3,powerset(the_carrier(X0))) )
| ~ in(X2,topstr_closure(X0,X1)) )
& ( ! [X4] :
( in(X2,X4)
| ~ closed_subset(X4,X0)
| ~ subset(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| in(X2,topstr_closure(X0,X1)) )
& in(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(rectify,[],[f1557]) ).
fof(f1559,plain,
( ( ( ~ in(sK349,sK350)
& closed_subset(sK350,sK347)
& subset(sK348,sK350)
& element(sK350,powerset(the_carrier(sK347))) )
| ~ in(sK349,topstr_closure(sK347,sK348)) )
& ( ! [X4] :
( in(sK349,X4)
| ~ closed_subset(X4,sK347)
| ~ subset(sK348,X4)
| ~ element(X4,powerset(the_carrier(sK347))) )
| in(sK349,topstr_closure(sK347,sK348)) )
& in(sK349,the_carrier(sK347))
& element(sK348,powerset(the_carrier(sK347)))
& top_str(sK347) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK347,sK348,sK349,sK350]),skolemize(X0,sK347),skolemize(X1,sK348),skolemize(X2,sK349),skolemize(X3,sK350)],[f1558]) ).
fof(f1698,plain,
! [X2,X0,X1,X8,X6] :
( ~ open_subset(X8,X0)
| ~ in(X6,X8)
| ~ disjoint(X1,X8)
| ~ element(X8,powerset(the_carrier(X0)))
| ~ in(X6,X2)
| ~ in(X6,the_carrier(X0))
| topstr_closure(X0,X1) != X2
| ~ element(X2,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1150]) ).
fof(f1699,plain,
! [X2,X0,X1,X6] :
( in(X6,X2)
| element(sK33(X0,X1,X6),powerset(the_carrier(X0)))
| ~ in(X6,the_carrier(X0))
| topstr_closure(X0,X1) != X2
| ~ element(X2,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1150]) ).
fof(f1700,plain,
! [X2,X0,X1,X6] :
( in(X6,X2)
| disjoint(X1,sK33(X0,X1,X6))
| ~ in(X6,the_carrier(X0))
| topstr_closure(X0,X1) != X2
| ~ element(X2,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1150]) ).
fof(f1701,plain,
! [X2,X0,X1,X6] :
( in(X6,X2)
| in(X6,sK33(X0,X1,X6))
| ~ in(X6,the_carrier(X0))
| topstr_closure(X0,X1) != X2
| ~ element(X2,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1150]) ).
fof(f1702,plain,
! [X2,X0,X1,X6] :
( in(X6,X2)
| open_subset(sK33(X0,X1,X6),X0)
| ~ in(X6,the_carrier(X0))
| topstr_closure(X0,X1) != X2
| ~ element(X2,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1150]) ).
fof(f1807,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f1201]) ).
fof(f1942,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| set_difference(X0,X1) = subset_complement(X0,X1) ),
inference(cnf_transformation,[],[f648]) ).
fof(f1952,plain,
! [X0,X1] :
( open_subset(subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1),X0)
| ~ closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1281]) ).
fof(f1953,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ open_subset(subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| closed_subset(X1,X0) ),
inference(cnf_transformation,[],[f1281]) ).
fof(f2023,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| element(subset_complement(X0,X1),powerset(X0)) ),
inference(cnf_transformation,[],[f681]) ).
fof(f2031,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f693]) ).
fof(f2039,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f701]) ).
fof(f2197,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset_complement(X0,subset_complement(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f772]) ).
fof(f2219,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f784]) ).
fof(f2238,plain,
! [X0,X1] :
( in(sK137(X0,X1),X0)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f1339]) ).
fof(f2239,plain,
! [X0,X1] :
( ~ in(sK137(X0,X1),X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f1339]) ).
fof(f2335,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(X0))
| ~ element(X1,powerset(X0))
| subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
inference(cnf_transformation,[],[f813]) ).
fof(f2675,plain,
! [X0] :
( ~ one_sorted_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(cnf_transformation,[],[f883]) ).
fof(f2711,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| subset_difference(the_carrier(X0),cast_as_carrier_subset(X0),X1) = subset_complement(the_carrier(X0),X1) ),
inference(cnf_transformation,[],[f917]) ).
fof(f2826,plain,
! [X2,X0,X1] :
( ~ disjoint(X1,X2)
| subset(X1,subset_complement(X0,X2))
| ~ element(X2,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f1554]) ).
fof(f2827,plain,
! [X2,X0,X1] :
( ~ subset(X1,subset_complement(X0,X2))
| disjoint(X1,X2)
| ~ element(X2,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f1554]) ).
fof(f2832,plain,
top_str(sK347),
inference(cnf_transformation,[],[f1559]) ).
fof(f2833,plain,
element(sK348,powerset(the_carrier(sK347))),
inference(cnf_transformation,[],[f1559]) ).
fof(f2834,plain,
in(sK349,the_carrier(sK347)),
inference(cnf_transformation,[],[f1559]) ).
fof(f2835,plain,
! [X4] :
( in(sK349,X4)
| ~ closed_subset(X4,sK347)
| ~ subset(sK348,X4)
| ~ element(X4,powerset(the_carrier(sK347)))
| in(sK349,topstr_closure(sK347,sK348)) ),
inference(cnf_transformation,[],[f1559]) ).
fof(f2836,plain,
( element(sK350,powerset(the_carrier(sK347)))
| ~ in(sK349,topstr_closure(sK347,sK348)) ),
inference(cnf_transformation,[],[f1559]) ).
fof(f2837,plain,
( subset(sK348,sK350)
| ~ in(sK349,topstr_closure(sK347,sK348)) ),
inference(cnf_transformation,[],[f1559]) ).
fof(f2838,plain,
( closed_subset(sK350,sK347)
| ~ in(sK349,topstr_closure(sK347,sK348)) ),
inference(cnf_transformation,[],[f1559]) ).
fof(f2839,plain,
( ~ in(sK349,sK350)
| ~ in(sK349,topstr_closure(sK347,sK348)) ),
inference(cnf_transformation,[],[f1559]) ).
fof(f2854,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f1024]) ).
fof(f2858,plain,
! [X2,X0,X1] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0)
| ~ element(X1,powerset(X0))
| empty_set = X0 ),
inference(cnf_transformation,[],[f1028]) ).
fof(f2878,plain,
! [X2,X0,X1] :
( ~ in(X1,subset_complement(X0,X2))
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(cnf_transformation,[],[f1034]) ).
fof(f3321,plain,
! [X0,X1,X6] :
( in(X6,topstr_closure(X0,X1))
| open_subset(sK33(X0,X1,X6),X0)
| ~ in(X6,the_carrier(X0))
| ~ element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(equality_resolution,[],[f1702]) ).
fof(f3322,plain,
! [X0,X1,X6] :
( in(X6,topstr_closure(X0,X1))
| in(X6,sK33(X0,X1,X6))
| ~ in(X6,the_carrier(X0))
| ~ element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(equality_resolution,[],[f1701]) ).
fof(f3323,plain,
! [X0,X1,X6] :
( in(X6,topstr_closure(X0,X1))
| disjoint(X1,sK33(X0,X1,X6))
| ~ in(X6,the_carrier(X0))
| ~ element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(equality_resolution,[],[f1700]) ).
fof(f3324,plain,
! [X0,X1,X6] :
( in(X6,topstr_closure(X0,X1))
| element(sK33(X0,X1,X6),powerset(the_carrier(X0)))
| ~ in(X6,the_carrier(X0))
| ~ element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(equality_resolution,[],[f1699]) ).
fof(f3325,plain,
! [X0,X1,X8,X6] :
( ~ open_subset(X8,X0)
| ~ in(X6,X8)
| ~ disjoint(X1,X8)
| ~ element(X8,powerset(the_carrier(X0)))
| ~ in(X6,topstr_closure(X0,X1))
| ~ in(X6,the_carrier(X0))
| ~ element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(equality_resolution,[],[f1698]) ).
fof(f3370,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f1807]) ).
fof(f3514,definition,
( spl360_1
<=> in(sK349,topstr_closure(sK347,sK348)) ),
introduced(definition,[new_symbols(definition,[spl360_1])],[avatar_definition]) ).
fof(f3515,plain,
( in(sK349,topstr_closure(sK347,sK348))
| ~ spl360_1 ),
inference(avatar_component_clause,[],[f3514]) ).
fof(f3517,definition,
( spl360_2
<=> ! [X4] :
( in(sK349,X4)
| ~ element(X4,powerset(the_carrier(sK347)))
| ~ subset(sK348,X4)
| ~ closed_subset(X4,sK347) ) ),
introduced(definition,[new_symbols(definition,[spl360_2])],[avatar_definition]) ).
fof(f3518,plain,
( ! [X4] :
( ~ closed_subset(X4,sK347)
| ~ element(X4,powerset(the_carrier(sK347)))
| ~ subset(sK348,X4)
| in(sK349,X4) )
| ~ spl360_2 ),
inference(avatar_component_clause,[],[f3517]) ).
fof(f3519,plain,
( spl360_1
| spl360_2 ),
inference(avatar_split_clause,[],[f2835,f3517,f3514]) ).
fof(f3520,plain,
( ~ in(sK349,topstr_closure(sK347,sK348))
| spl360_1 ),
inference(avatar_component_clause,[],[f3514]) ).
fof(f3522,definition,
( spl360_3
<=> element(sK350,powerset(the_carrier(sK347))) ),
introduced(definition,[new_symbols(definition,[spl360_3])],[avatar_definition]) ).
fof(f3523,plain,
( element(sK350,powerset(the_carrier(sK347)))
| ~ spl360_3 ),
inference(avatar_component_clause,[],[f3522]) ).
fof(f3524,plain,
( ~ spl360_1
| spl360_3 ),
inference(avatar_split_clause,[],[f2836,f3522,f3514]) ).
fof(f3526,definition,
( spl360_4
<=> subset(sK348,sK350) ),
introduced(definition,[new_symbols(definition,[spl360_4])],[avatar_definition]) ).
fof(f3527,plain,
( subset(sK348,sK350)
| ~ spl360_4 ),
inference(avatar_component_clause,[],[f3526]) ).
fof(f3528,plain,
( ~ spl360_1
| spl360_4 ),
inference(avatar_split_clause,[],[f2837,f3526,f3514]) ).
fof(f3530,definition,
( spl360_5
<=> closed_subset(sK350,sK347) ),
introduced(definition,[new_symbols(definition,[spl360_5])],[avatar_definition]) ).
fof(f3531,plain,
( closed_subset(sK350,sK347)
| ~ spl360_5 ),
inference(avatar_component_clause,[],[f3530]) ).
fof(f3532,plain,
( ~ spl360_1
| spl360_5 ),
inference(avatar_split_clause,[],[f2838,f3530,f3514]) ).
fof(f3534,definition,
( spl360_6
<=> in(sK349,sK350) ),
introduced(definition,[new_symbols(definition,[spl360_6])],[avatar_definition]) ).
fof(f3535,plain,
( ~ in(sK349,sK350)
| spl360_6 ),
inference(avatar_component_clause,[],[f3534]) ).
fof(f3536,plain,
( ~ spl360_1
| ~ spl360_6 ),
inference(avatar_split_clause,[],[f2839,f3534,f3514]) ).
fof(f3845,plain,
! [X0,X1,X8,X6] :
( ~ open_subset(X8,X0)
| ~ in(X6,X8)
| ~ disjoint(X1,X8)
| ~ element(X8,powerset(the_carrier(X0)))
| ~ in(X6,topstr_closure(X0,X1))
| ~ element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f3325,f2219]) ).
fof(f3846,plain,
! [X0,X1,X6] :
( element(sK33(X0,X1,X6),powerset(the_carrier(X0)))
| in(X6,topstr_closure(X0,X1))
| ~ in(X6,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f3324,f2031]) ).
fof(f3847,plain,
! [X0,X1,X6] :
( disjoint(X1,sK33(X0,X1,X6))
| in(X6,topstr_closure(X0,X1))
| ~ in(X6,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f3323,f2031]) ).
fof(f3848,plain,
! [X0,X1,X6] :
( in(X6,sK33(X0,X1,X6))
| in(X6,topstr_closure(X0,X1))
| ~ in(X6,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f3322,f2031]) ).
fof(f3849,plain,
! [X0,X1,X6] :
( open_subset(sK33(X0,X1,X6),X0)
| in(X6,topstr_closure(X0,X1))
| ~ in(X6,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f3321,f2031]) ).
fof(f3872,plain,
! [X0,X1,X8,X6] :
( ~ in(X6,topstr_closure(X0,X1))
| ~ in(X6,X8)
| ~ disjoint(X1,X8)
| ~ element(X8,powerset(the_carrier(X0)))
| ~ open_subset(X8,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f3845,f2031]) ).
fof(f3906,plain,
! [X0] :
( ~ top_str(X0)
| the_carrier(X0) = cast_as_carrier_subset(X0) ),
inference(resolution,[],[f2039,f2675]) ).
fof(f3907,plain,
the_carrier(sK347) = cast_as_carrier_subset(sK347),
inference(resolution,[],[f3906,f2832]) ).
fof(f3911,plain,
element(sK348,powerset(cast_as_carrier_subset(sK347))),
inference(superposition,[],[f2833,f3907]) ).
fof(f3912,plain,
in(sK349,cast_as_carrier_subset(sK347)),
inference(superposition,[],[f2834,f3907]) ).
fof(f3915,plain,
! [X0] :
( open_subset(subset_difference(cast_as_carrier_subset(sK347),cast_as_carrier_subset(sK347),X0),sK347)
| ~ closed_subset(X0,sK347)
| ~ element(X0,powerset(cast_as_carrier_subset(sK347)))
| ~ top_str(sK347) ),
inference(superposition,[],[f1952,f3907]) ).
fof(f3916,plain,
! [X0,X1] :
( element(sK33(sK347,X0,X1),powerset(cast_as_carrier_subset(sK347)))
| in(X1,topstr_closure(sK347,X0))
| ~ in(X1,cast_as_carrier_subset(sK347))
| ~ element(X0,powerset(cast_as_carrier_subset(sK347)))
| ~ top_str(sK347) ),
inference(superposition,[],[f3846,f3907]) ).
fof(f3919,plain,
! [X0,X1] :
( ~ in(X1,cast_as_carrier_subset(sK347))
| in(X1,topstr_closure(sK347,X0))
| element(sK33(sK347,X0,X1),powerset(cast_as_carrier_subset(sK347)))
| ~ element(X0,powerset(cast_as_carrier_subset(sK347))) ),
inference(forward_subsumption_resolution,[],[f3916,f2832]) ).
fof(f3920,plain,
! [X0] :
( open_subset(subset_difference(cast_as_carrier_subset(sK347),cast_as_carrier_subset(sK347),X0),sK347)
| ~ closed_subset(X0,sK347)
| ~ element(X0,powerset(cast_as_carrier_subset(sK347))) ),
inference(forward_subsumption_resolution,[],[f3915,f2832]) ).
fof(f3934,plain,
! [X2,X0,X1] :
( ~ in(X0,topstr_closure(X1,X2))
| element(X0,the_carrier(X1))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(resolution,[],[f2854,f2031]) ).
fof(f4008,plain,
! [X0] :
( element(X0,powerset(X0))
| element(X0,powerset(X0)) ),
inference(resolution,[],[f2239,f2238]) ).
fof(f4011,plain,
! [X0] : element(X0,powerset(X0)),
inference(duplicate_literal_removal,[],[f4008]) ).
fof(f4093,definition,
( spl360_83
<=> empty_set = cast_as_carrier_subset(sK347) ),
introduced(definition,[new_symbols(definition,[spl360_83])],[avatar_definition]) ).
fof(f4094,plain,
( empty_set = cast_as_carrier_subset(sK347)
| ~ spl360_83 ),
inference(avatar_component_clause,[],[f4093]) ).
fof(f4101,plain,
( in(sK349,empty_set)
| ~ spl360_83 ),
inference(superposition,[],[f3912,f4094]) ).
fof(f4115,plain,
( $false
| ~ spl360_83 ),
inference(forward_subsumption_resolution,[],[f4101,f3370]) ).
fof(f4116,plain,
~ spl360_83,
inference(avatar_contradiction_clause,[],[f4115]) ).
fof(f4294,plain,
! [X0] :
( ~ element(X0,powerset(cast_as_carrier_subset(sK347)))
| element(sK33(sK347,X0,sK349),powerset(cast_as_carrier_subset(sK347)))
| in(sK349,topstr_closure(sK347,X0)) ),
inference(resolution,[],[f3919,f3912]) ).
fof(f4295,plain,
( element(sK33(sK347,sK348,sK349),powerset(cast_as_carrier_subset(sK347)))
| in(sK349,topstr_closure(sK347,sK348)) ),
inference(resolution,[],[f4294,f3911]) ).
fof(f4423,plain,
( element(sK350,powerset(cast_as_carrier_subset(sK347)))
| ~ spl360_3 ),
inference(forward_demodulation,[],[f3523,f3907]) ).
fof(f4450,plain,
( set_difference(cast_as_carrier_subset(sK347),sK350) = subset_complement(cast_as_carrier_subset(sK347),sK350)
| ~ spl360_3 ),
inference(resolution,[],[f4423,f1942]) ).
fof(f4451,plain,
( element(subset_complement(cast_as_carrier_subset(sK347),sK350),powerset(cast_as_carrier_subset(sK347)))
| ~ spl360_3 ),
inference(resolution,[],[f4423,f2023]) ).
fof(f4452,plain,
( sK350 = subset_complement(cast_as_carrier_subset(sK347),subset_complement(cast_as_carrier_subset(sK347),sK350))
| ~ spl360_3 ),
inference(resolution,[],[f4423,f2197]) ).
fof(f4454,plain,
( ! [X0] :
( ~ element(X0,powerset(cast_as_carrier_subset(sK347)))
| subset_difference(cast_as_carrier_subset(sK347),X0,sK350) = set_difference(X0,sK350) )
| ~ spl360_3 ),
inference(resolution,[],[f4423,f2335]) ).
fof(f4467,plain,
( element(sK349,the_carrier(sK347))
| ~ top_str(sK347)
| ~ element(sK348,powerset(the_carrier(sK347)))
| ~ spl360_1 ),
inference(resolution,[],[f3515,f3934]) ).
fof(f4469,plain,
( ! [X0] :
( ~ in(sK349,X0)
| ~ disjoint(sK348,X0)
| ~ element(X0,powerset(the_carrier(sK347)))
| ~ open_subset(X0,sK347)
| ~ element(sK348,powerset(the_carrier(sK347)))
| ~ top_str(sK347) )
| ~ spl360_1 ),
inference(resolution,[],[f3515,f3872]) ).
fof(f4470,plain,
( ! [X0] :
( ~ in(sK349,X0)
| ~ disjoint(sK348,X0)
| ~ element(X0,powerset(the_carrier(sK347)))
| ~ open_subset(X0,sK347)
| ~ top_str(sK347) )
| ~ spl360_1 ),
inference(forward_subsumption_resolution,[],[f4469,f2833]) ).
fof(f4471,plain,
( element(sK349,the_carrier(sK347))
| ~ element(sK348,powerset(the_carrier(sK347)))
| ~ spl360_1 ),
inference(forward_subsumption_resolution,[],[f4467,f2832]) ).
fof(f4472,plain,
( ! [X0] :
( ~ in(sK349,X0)
| ~ disjoint(sK348,X0)
| ~ element(X0,powerset(the_carrier(sK347)))
| ~ open_subset(X0,sK347) )
| ~ spl360_1 ),
inference(forward_subsumption_resolution,[],[f4470,f2832]) ).
fof(f4473,plain,
( element(sK349,the_carrier(sK347))
| ~ spl360_1 ),
inference(forward_subsumption_resolution,[],[f4471,f2833]) ).
fof(f4474,plain,
( ! [X0] :
( ~ disjoint(sK348,X0)
| ~ in(sK349,X0)
| ~ element(X0,powerset(cast_as_carrier_subset(sK347)))
| ~ open_subset(X0,sK347) )
| ~ spl360_1 ),
inference(forward_demodulation,[],[f4472,f3907]) ).
fof(f4475,plain,
( element(sK349,cast_as_carrier_subset(sK347))
| ~ spl360_1 ),
inference(forward_demodulation,[],[f4473,f3907]) ).
fof(f4599,plain,
( ! [X0] :
( ~ subset(X0,sK350)
| disjoint(X0,subset_complement(cast_as_carrier_subset(sK347),sK350))
| ~ element(subset_complement(cast_as_carrier_subset(sK347),sK350),powerset(cast_as_carrier_subset(sK347)))
| ~ element(X0,powerset(cast_as_carrier_subset(sK347))) )
| ~ spl360_3 ),
inference(superposition,[],[f2827,f4452]) ).
fof(f4601,plain,
( ! [X0] :
( in(X0,sK350)
| in(X0,subset_complement(cast_as_carrier_subset(sK347),sK350))
| ~ element(X0,cast_as_carrier_subset(sK347))
| ~ element(subset_complement(cast_as_carrier_subset(sK347),sK350),powerset(cast_as_carrier_subset(sK347)))
| empty_set = cast_as_carrier_subset(sK347) )
| ~ spl360_3 ),
inference(superposition,[],[f2858,f4452]) ).
fof(f4602,plain,
( ! [X0] :
( in(X0,sK350)
| in(X0,subset_complement(cast_as_carrier_subset(sK347),sK350))
| ~ element(X0,cast_as_carrier_subset(sK347))
| empty_set = cast_as_carrier_subset(sK347) )
| ~ spl360_3 ),
inference(forward_subsumption_resolution,[],[f4601,f4451]) ).
fof(f4604,plain,
( ! [X0] :
( disjoint(X0,subset_complement(cast_as_carrier_subset(sK347),sK350))
| ~ subset(X0,sK350)
| ~ element(X0,powerset(cast_as_carrier_subset(sK347))) )
| ~ spl360_3 ),
inference(forward_subsumption_resolution,[],[f4599,f4451]) ).
fof(f4606,definition,
( spl360_115
<=> ! [X0] :
( in(X0,sK350)
| ~ element(X0,cast_as_carrier_subset(sK347))
| in(X0,subset_complement(cast_as_carrier_subset(sK347),sK350)) ) ),
introduced(definition,[new_symbols(definition,[spl360_115])],[avatar_definition]) ).
fof(f4607,plain,
( ! [X0] :
( ~ element(X0,cast_as_carrier_subset(sK347))
| in(X0,sK350)
| in(X0,subset_complement(cast_as_carrier_subset(sK347),sK350)) )
| ~ spl360_115 ),
inference(avatar_component_clause,[],[f4606]) ).
fof(f4608,plain,
( spl360_83
| spl360_115
| ~ spl360_3 ),
inference(avatar_split_clause,[],[f4602,f3522,f4606,f4093]) ).
fof(f4612,plain,
( in(sK349,sK350)
| in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK350))
| ~ spl360_1
| ~ spl360_115 ),
inference(resolution,[],[f4607,f4475]) ).
fof(f4614,plain,
( in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK350))
| ~ spl360_1
| spl360_6
| ~ spl360_115 ),
inference(forward_subsumption_resolution,[],[f4612,f3535]) ).
fof(f4648,plain,
( ~ subset(sK348,sK350)
| ~ element(sK348,powerset(cast_as_carrier_subset(sK347)))
| ~ in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK350))
| ~ element(subset_complement(cast_as_carrier_subset(sK347),sK350),powerset(cast_as_carrier_subset(sK347)))
| ~ open_subset(subset_complement(cast_as_carrier_subset(sK347),sK350),sK347)
| ~ spl360_1
| ~ spl360_3 ),
inference(resolution,[],[f4604,f4474]) ).
fof(f4649,plain,
( ~ element(sK348,powerset(cast_as_carrier_subset(sK347)))
| ~ in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK350))
| ~ element(subset_complement(cast_as_carrier_subset(sK347),sK350),powerset(cast_as_carrier_subset(sK347)))
| ~ open_subset(subset_complement(cast_as_carrier_subset(sK347),sK350),sK347)
| ~ spl360_1
| ~ spl360_3
| ~ spl360_4 ),
inference(forward_subsumption_resolution,[],[f4648,f3527]) ).
fof(f4650,plain,
( ~ in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK350))
| ~ element(subset_complement(cast_as_carrier_subset(sK347),sK350),powerset(cast_as_carrier_subset(sK347)))
| ~ open_subset(subset_complement(cast_as_carrier_subset(sK347),sK350),sK347)
| ~ spl360_1
| ~ spl360_3
| ~ spl360_4 ),
inference(forward_subsumption_resolution,[],[f4649,f3911]) ).
fof(f4651,plain,
( ~ element(subset_complement(cast_as_carrier_subset(sK347),sK350),powerset(cast_as_carrier_subset(sK347)))
| ~ open_subset(subset_complement(cast_as_carrier_subset(sK347),sK350),sK347)
| ~ spl360_1
| ~ spl360_3
| ~ spl360_4
| spl360_6
| ~ spl360_115 ),
inference(forward_subsumption_resolution,[],[f4650,f4614]) ).
fof(f4652,plain,
( ~ open_subset(subset_complement(cast_as_carrier_subset(sK347),sK350),sK347)
| ~ spl360_1
| ~ spl360_3
| ~ spl360_4
| spl360_6
| ~ spl360_115 ),
inference(forward_subsumption_resolution,[],[f4651,f4451]) ).
fof(f4759,plain,
( subset_difference(cast_as_carrier_subset(sK347),cast_as_carrier_subset(sK347),sK350) = set_difference(cast_as_carrier_subset(sK347),sK350)
| ~ spl360_3 ),
inference(resolution,[],[f4454,f4011]) ).
fof(f4761,plain,
( subset_difference(cast_as_carrier_subset(sK347),cast_as_carrier_subset(sK347),sK350) = subset_complement(cast_as_carrier_subset(sK347),sK350)
| ~ spl360_3 ),
inference(forward_demodulation,[],[f4759,f4450]) ).
fof(f4841,plain,
( open_subset(subset_complement(cast_as_carrier_subset(sK347),sK350),sK347)
| ~ closed_subset(sK350,sK347)
| ~ element(sK350,powerset(cast_as_carrier_subset(sK347)))
| ~ spl360_3 ),
inference(superposition,[],[f3920,f4761]) ).
fof(f4842,plain,
( ~ closed_subset(sK350,sK347)
| ~ element(sK350,powerset(cast_as_carrier_subset(sK347)))
| ~ spl360_1
| ~ spl360_3
| ~ spl360_4
| spl360_6
| ~ spl360_115 ),
inference(forward_subsumption_resolution,[],[f4841,f4652]) ).
fof(f4843,plain,
( ~ element(sK350,powerset(cast_as_carrier_subset(sK347)))
| ~ spl360_1
| ~ spl360_3
| ~ spl360_4
| ~ spl360_5
| spl360_6
| ~ spl360_115 ),
inference(forward_subsumption_resolution,[],[f4842,f3531]) ).
fof(f4844,plain,
( $false
| ~ spl360_1
| ~ spl360_3
| ~ spl360_4
| ~ spl360_5
| spl360_6
| ~ spl360_115 ),
inference(forward_subsumption_resolution,[],[f4843,f4423]) ).
fof(f4845,plain,
( ~ spl360_1
| ~ spl360_3
| ~ spl360_4
| ~ spl360_5
| spl360_6
| ~ spl360_115 ),
inference(avatar_contradiction_clause,[],[f4844]) ).
fof(f4846,plain,
( ! [X4] :
( ~ closed_subset(X4,sK347)
| ~ element(X4,powerset(cast_as_carrier_subset(sK347)))
| ~ subset(sK348,X4)
| in(sK349,X4) )
| ~ spl360_2 ),
inference(forward_demodulation,[],[f3518,f3907]) ).
fof(f4847,plain,
( element(sK33(sK347,sK348,sK349),powerset(cast_as_carrier_subset(sK347)))
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f4295,f3520]) ).
fof(f4890,plain,
( element(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),powerset(cast_as_carrier_subset(sK347)))
| spl360_1 ),
inference(resolution,[],[f4847,f2023]) ).
fof(f4891,plain,
( sK33(sK347,sK348,sK349) = subset_complement(cast_as_carrier_subset(sK347),subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1 ),
inference(resolution,[],[f4847,f2197]) ).
fof(f4928,plain,
( ! [X0] :
( ~ in(X0,sK33(sK347,sK348,sK349))
| ~ in(X0,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| ~ element(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),powerset(cast_as_carrier_subset(sK347))) )
| spl360_1 ),
inference(superposition,[],[f2878,f4891]) ).
fof(f4931,plain,
( ! [X0] :
( ~ in(X0,sK33(sK347,sK348,sK349))
| ~ in(X0,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349))) )
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f4928,f4890]) ).
fof(f5258,plain,
! [X0,X1] :
( ~ top_str(X1)
| subset_difference(the_carrier(X1),cast_as_carrier_subset(X1),X0) = subset_complement(the_carrier(X1),X0)
| ~ element(X0,powerset(the_carrier(X1))) ),
inference(resolution,[],[f2711,f2039]) ).
fof(f5259,plain,
! [X0] :
( subset_difference(the_carrier(sK347),cast_as_carrier_subset(sK347),X0) = subset_complement(the_carrier(sK347),X0)
| ~ element(X0,powerset(the_carrier(sK347))) ),
inference(resolution,[],[f5258,f2832]) ).
fof(f5260,plain,
! [X0] :
( subset_difference(cast_as_carrier_subset(sK347),cast_as_carrier_subset(sK347),X0) = subset_complement(cast_as_carrier_subset(sK347),X0)
| ~ element(X0,powerset(the_carrier(sK347))) ),
inference(forward_demodulation,[],[f5259,f3907]) ).
fof(f5261,plain,
! [X0] :
( ~ element(X0,powerset(cast_as_carrier_subset(sK347)))
| subset_difference(cast_as_carrier_subset(sK347),cast_as_carrier_subset(sK347),X0) = subset_complement(cast_as_carrier_subset(sK347),X0) ),
inference(forward_demodulation,[],[f5260,f3907]) ).
fof(f5416,plain,
! [X2,X3,X0,X1] :
( ~ top_str(X2)
| ~ element(sK33(X2,X0,X3),powerset(X1))
| ~ element(X0,powerset(X1))
| in(X3,topstr_closure(X2,X0))
| ~ in(X3,the_carrier(X2))
| ~ element(X0,powerset(the_carrier(X2)))
| subset(X0,subset_complement(X1,sK33(X2,X0,X3))) ),
inference(resolution,[],[f2826,f3847]) ).
fof(f5420,plain,
! [X2,X0,X1] :
( ~ element(sK33(sK347,X0,X1),powerset(X2))
| ~ element(X0,powerset(X2))
| in(X1,topstr_closure(sK347,X0))
| ~ in(X1,the_carrier(sK347))
| ~ element(X0,powerset(the_carrier(sK347)))
| subset(X0,subset_complement(X2,sK33(sK347,X0,X1))) ),
inference(resolution,[],[f5416,f2832]) ).
fof(f5421,plain,
! [X2,X0,X1] :
( ~ in(X1,cast_as_carrier_subset(sK347))
| ~ element(sK33(sK347,X0,X1),powerset(X2))
| ~ element(X0,powerset(X2))
| in(X1,topstr_closure(sK347,X0))
| ~ element(X0,powerset(the_carrier(sK347)))
| subset(X0,subset_complement(X2,sK33(sK347,X0,X1))) ),
inference(forward_demodulation,[],[f5420,f3907]) ).
fof(f5422,plain,
! [X2,X0,X1] :
( ~ element(sK33(sK347,X0,X1),powerset(X2))
| ~ in(X1,cast_as_carrier_subset(sK347))
| ~ element(X0,powerset(cast_as_carrier_subset(sK347)))
| ~ element(X0,powerset(X2))
| in(X1,topstr_closure(sK347,X0))
| subset(X0,subset_complement(X2,sK33(sK347,X0,X1))) ),
inference(forward_demodulation,[],[f5421,f3907]) ).
fof(f5691,plain,
( ~ in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| in(sK349,topstr_closure(sK347,sK348))
| ~ in(sK349,the_carrier(sK347))
| ~ element(sK348,powerset(the_carrier(sK347)))
| ~ top_str(sK347)
| spl360_1 ),
inference(resolution,[],[f4931,f3848]) ).
fof(f5694,plain,
( ~ in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| ~ in(sK349,the_carrier(sK347))
| ~ element(sK348,powerset(the_carrier(sK347)))
| ~ top_str(sK347)
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f5691,f3520]) ).
fof(f5695,plain,
( ~ in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| ~ element(sK348,powerset(the_carrier(sK347)))
| ~ top_str(sK347)
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f5694,f2834]) ).
fof(f5696,plain,
( ~ in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| ~ top_str(sK347)
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f5695,f2833]) ).
fof(f5697,plain,
( ~ in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f5696,f2832]) ).
fof(f7539,plain,
( subset_complement(cast_as_carrier_subset(sK347),subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349))) = subset_difference(cast_as_carrier_subset(sK347),cast_as_carrier_subset(sK347),subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1 ),
inference(resolution,[],[f4890,f5261]) ).
fof(f7605,plain,
( sK33(sK347,sK348,sK349) = subset_difference(cast_as_carrier_subset(sK347),cast_as_carrier_subset(sK347),subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1 ),
inference(forward_demodulation,[],[f7539,f4891]) ).
fof(f7615,plain,
( open_subset(sK33(sK347,sK348,sK349),sK347)
| ~ closed_subset(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),sK347)
| ~ element(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),powerset(cast_as_carrier_subset(sK347)))
| spl360_1 ),
inference(superposition,[],[f3920,f7605]) ).
fof(f7616,plain,
( open_subset(sK33(sK347,sK348,sK349),sK347)
| ~ closed_subset(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),sK347)
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f7615,f4890]) ).
fof(f7618,definition,
( spl360_302
<=> closed_subset(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),sK347) ),
introduced(definition,[new_symbols(definition,[spl360_302])],[avatar_definition]) ).
fof(f7619,plain,
( ~ closed_subset(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),sK347)
| spl360_302 ),
inference(avatar_component_clause,[],[f7618]) ).
fof(f7621,definition,
( spl360_303
<=> open_subset(sK33(sK347,sK348,sK349),sK347) ),
introduced(definition,[new_symbols(definition,[spl360_303])],[avatar_definition]) ).
fof(f7622,plain,
( open_subset(sK33(sK347,sK348,sK349),sK347)
| ~ spl360_303 ),
inference(avatar_component_clause,[],[f7621]) ).
fof(f7623,plain,
( ~ spl360_302
| spl360_303
| spl360_1 ),
inference(avatar_split_clause,[],[f7616,f3514,f7621,f7618]) ).
fof(f7822,plain,
! [X0] :
( ~ open_subset(subset_difference(the_carrier(sK347),cast_as_carrier_subset(sK347),X0),sK347)
| ~ element(X0,powerset(the_carrier(sK347)))
| closed_subset(X0,sK347) ),
inference(resolution,[],[f1953,f2832]) ).
fof(f7823,plain,
! [X0] :
( ~ open_subset(subset_difference(cast_as_carrier_subset(sK347),cast_as_carrier_subset(sK347),X0),sK347)
| ~ element(X0,powerset(the_carrier(sK347)))
| closed_subset(X0,sK347) ),
inference(forward_demodulation,[],[f7822,f3907]) ).
fof(f7824,plain,
! [X0] :
( ~ open_subset(subset_difference(cast_as_carrier_subset(sK347),cast_as_carrier_subset(sK347),X0),sK347)
| ~ element(X0,powerset(cast_as_carrier_subset(sK347)))
| closed_subset(X0,sK347) ),
inference(forward_demodulation,[],[f7823,f3907]) ).
fof(f7832,plain,
( ~ open_subset(sK33(sK347,sK348,sK349),sK347)
| ~ element(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),powerset(cast_as_carrier_subset(sK347)))
| closed_subset(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),sK347)
| spl360_1 ),
inference(superposition,[],[f7824,f7605]) ).
fof(f7842,plain,
( ~ open_subset(sK33(sK347,sK348,sK349),sK347)
| closed_subset(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),sK347)
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f7832,f4890]) ).
fof(f7852,plain,
( ~ open_subset(sK33(sK347,sK348,sK349),sK347)
| spl360_1
| spl360_302 ),
inference(forward_subsumption_resolution,[],[f7842,f7619]) ).
fof(f7860,plain,
( in(sK349,topstr_closure(sK347,sK348))
| ~ in(sK349,the_carrier(sK347))
| ~ element(sK348,powerset(the_carrier(sK347)))
| ~ top_str(sK347)
| spl360_1
| spl360_302 ),
inference(resolution,[],[f7852,f3849]) ).
fof(f7862,plain,
( ~ in(sK349,the_carrier(sK347))
| ~ element(sK348,powerset(the_carrier(sK347)))
| ~ top_str(sK347)
| spl360_1
| spl360_302 ),
inference(forward_subsumption_resolution,[],[f7860,f3520]) ).
fof(f7863,plain,
( ~ element(sK348,powerset(the_carrier(sK347)))
| ~ top_str(sK347)
| spl360_1
| spl360_302 ),
inference(forward_subsumption_resolution,[],[f7862,f2834]) ).
fof(f7864,plain,
( ~ top_str(sK347)
| spl360_1
| spl360_302 ),
inference(forward_subsumption_resolution,[],[f7863,f2833]) ).
fof(f7865,plain,
( $false
| spl360_1
| spl360_302 ),
inference(forward_subsumption_resolution,[],[f7864,f2832]) ).
fof(f7866,plain,
( spl360_1
| spl360_302 ),
inference(avatar_contradiction_clause,[],[f7865]) ).
fof(f7867,plain,
( closed_subset(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),sK347)
| spl360_1
| ~ spl360_303 ),
inference(forward_subsumption_resolution,[],[f7842,f7622]) ).
fof(f153378,plain,
( ~ in(sK349,cast_as_carrier_subset(sK347))
| ~ element(sK348,powerset(cast_as_carrier_subset(sK347)))
| ~ element(sK348,powerset(cast_as_carrier_subset(sK347)))
| in(sK349,topstr_closure(sK347,sK348))
| subset(sK348,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1 ),
inference(resolution,[],[f5422,f4847]) ).
fof(f153386,plain,
( ~ in(sK349,cast_as_carrier_subset(sK347))
| ~ element(sK348,powerset(cast_as_carrier_subset(sK347)))
| in(sK349,topstr_closure(sK347,sK348))
| subset(sK348,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1 ),
inference(duplicate_literal_removal,[],[f153378]) ).
fof(f153391,plain,
( ~ element(sK348,powerset(cast_as_carrier_subset(sK347)))
| in(sK349,topstr_closure(sK347,sK348))
| subset(sK348,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f153386,f3912]) ).
fof(f153397,plain,
( in(sK349,topstr_closure(sK347,sK348))
| subset(sK348,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f153391,f3911]) ).
fof(f153412,plain,
( subset(sK348,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1 ),
inference(forward_subsumption_resolution,[],[f153397,f3520]) ).
fof(f223126,plain,
( ~ element(subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)),powerset(cast_as_carrier_subset(sK347)))
| ~ subset(sK348,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1
| ~ spl360_2
| ~ spl360_303 ),
inference(resolution,[],[f7867,f4846]) ).
fof(f223128,plain,
( ~ subset(sK348,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1
| ~ spl360_2
| ~ spl360_303 ),
inference(forward_subsumption_resolution,[],[f223126,f4890]) ).
fof(f223129,plain,
( in(sK349,subset_complement(cast_as_carrier_subset(sK347),sK33(sK347,sK348,sK349)))
| spl360_1
| ~ spl360_2
| ~ spl360_303 ),
inference(forward_subsumption_resolution,[],[f223128,f153412]) ).
fof(f223130,plain,
( $false
| spl360_1
| ~ spl360_2
| ~ spl360_303 ),
inference(forward_subsumption_resolution,[],[f223129,f5697]) ).
fof(f223131,plain,
( spl360_1
| ~ spl360_2
| ~ spl360_303 ),
inference(avatar_contradiction_clause,[],[f223130]) ).
cnf(s1,plain,
( spl360_1
| spl360_2 ),
inference(sat_conversion,[],[f3519]) ).
cnf(s2,plain,
( ~ spl360_1
| spl360_3 ),
inference(sat_conversion,[],[f3524]) ).
cnf(s3,plain,
( ~ spl360_1
| spl360_4 ),
inference(sat_conversion,[],[f3528]) ).
cnf(s4,plain,
( ~ spl360_1
| spl360_5 ),
inference(sat_conversion,[],[f3532]) ).
cnf(s5,plain,
( ~ spl360_1
| ~ spl360_6 ),
inference(sat_conversion,[],[f3536]) ).
cnf(s80,plain,
~ spl360_83,
inference(sat_conversion,[],[f4116]) ).
cnf(s102,plain,
( ~ spl360_3
| spl360_83
| spl360_115 ),
inference(sat_conversion,[],[f4608]) ).
cnf(s113,plain,
( ~ spl360_1
| ~ spl360_3
| ~ spl360_4
| ~ spl360_5
| spl360_6
| ~ spl360_115 ),
inference(sat_conversion,[],[f4845]) ).
cnf(s253,plain,
( spl360_1
| ~ spl360_302
| spl360_303 ),
inference(sat_conversion,[],[f7623]) ).
cnf(s269,plain,
( spl360_1
| spl360_302 ),
inference(sat_conversion,[],[f7866]) ).
cnf(s25956,plain,
( spl360_1
| ~ spl360_2
| ~ spl360_303 ),
inference(sat_conversion,[],[f223131]) ).
cnf(s25959,plain,
spl360_1,
inference(rat,[],[s25956,s253,s1,s269]) ).
cnf(s25960,plain,
~ spl360_6,
inference(rat,[],[s5,s25959]) ).
cnf(s25961,plain,
spl360_5,
inference(rat,[],[s4,s25959]) ).
cnf(s25962,plain,
spl360_4,
inference(rat,[],[s3,s25959]) ).
cnf(s25963,plain,
spl360_3,
inference(rat,[],[s2,s25959]) ).
cnf(s25981,plain,
~ spl360_115,
inference(rat,[],[s113,s25962,s25960,s25961,s25959,s25963]) ).
cnf(s25983,plain,
$false,
inference(rat,[],[s102,s80,s25981,s25963]) ).
fof(f223132,plain,
$false,
inference(avatar_sat_refutation,[],[s25983]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU313+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % 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 04:42:01 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.36/2.36 % (2261896)Detected formulas, will run a generic FOF schedule.
% 10.36/2.36 % (2261905)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3833441973:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.36/2.36 % (2261905)Instruction limit reached!
% 10.36/2.36 % (2261905)------------------------------
% 10.36/2.36 % (2261905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.36 % (2261905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.36 % (2261905)CaDiCaL version: 2.1.3
% 10.36/2.36 % (2261905)Termination reason: Instruction limit
% 10.36/2.36 % (2261905)Termination phase: Saturation
% 10.36/2.36 % (2261905)Time elapsed: 0.039 s
% 10.36/2.36 % (2261905)Peak memory usage: 90 MB
% 10.36/2.36 % (2261905)Instructions burned: 122 (million)
% 10.36/2.36 % (2261901)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=609567137:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.36/2.36 % (2261903)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3499560771:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.36/2.36 % (2261904)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2983649680:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.36/2.36 % (2261902)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=47864760:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.36/2.36 % (2261906)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1550886119:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.36/2.36 % (2261907)dis-21_1_sil=8000:lcm=predicate:random_seed=2191202872:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.36/2.36 % (2261906)Instruction limit reached!
% 10.36/2.36 % (2261906)------------------------------
% 10.36/2.36 % (2261906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.36 % (2261906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.36 % (2261906)CaDiCaL version: 2.1.3
% 10.36/2.36 % (2261906)Termination reason: Instruction limit
% 10.36/2.36 % (2261906)Termination phase: Saturation
% 10.36/2.36 % (2261906)Time elapsed: 0.053 s
% 10.36/2.36 % (2261906)Peak memory usage: 91 MB
% 10.36/2.36 % (2261906)Instructions burned: 140 (million)
% 10.36/2.36 % (2261904)Instruction limit reached!
% 10.36/2.36 % (2261904)------------------------------
% 10.36/2.36 % (2261904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.36 % (2261904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.36 % (2261904)CaDiCaL version: 2.1.3
% 10.36/2.36 % (2261904)Termination reason: Instruction limit
% 10.36/2.36 % (2261904)Termination phase: Saturation
% 10.36/2.36 % (2261904)Time elapsed: 0.062 s
% 10.36/2.36 % (2261904)Peak memory usage: 91 MB
% 10.36/2.36 % (2261904)Instructions burned: 109 (million)
% 10.36/2.36 % (2261907)Instruction limit reached!
% 10.36/2.36 % (2261907)------------------------------
% 10.36/2.36 % (2261907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.36 % (2261907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.36 % (2261907)CaDiCaL version: 2.1.3
% 10.36/2.36 % (2261907)Termination reason: Instruction limit
% 10.36/2.36 % (2261907)Termination phase: Saturation
% 10.36/2.36 % (2261907)Time elapsed: 0.066 s
% 10.36/2.36 % (2261907)Peak memory usage: 90 MB
% 10.36/2.36 % (2261907)Instructions burned: 130 (million)
% 10.36/2.36 % (2261914)lrs+10_1_sil=8000:sp=occurrence:random_seed=3894369042:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.36/2.36 % (2261916)lrs+10_1_sil=32000:urr=on:br=off:random_seed=927520907:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.36/2.36 % (2261916)Instruction limit reached!
% 10.36/2.36 % (2261916)------------------------------
% 10.36/2.36 % (2261916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.36 % (2261916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.36 % (2261916)CaDiCaL version: 2.1.3
% 10.36/2.36 % (2261916)Termination reason: Instruction limit
% 10.36/2.36 % (2261916)Termination phase: Saturation
% 18.11/3.44 % (2261916)Time elapsed: 0.051 s
% 18.11/3.44 % (2261916)Peak memory usage: 90 MB
% 18.11/3.44 % (2261916)Instructions burned: 159 (million)
% 18.11/3.44 % (2261917)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3383662042:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 18.11/3.44 % (2261918)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=470712756:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 18.11/3.44 % (2261921)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2359596353:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 18.11/3.44 % (2261914)Instruction limit reached!
% 18.11/3.44 % (2261914)------------------------------
% 18.11/3.44 % (2261914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.11/3.44 % (2261914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/3.44 % (2261914)CaDiCaL version: 2.1.3
% 18.11/3.44 % (2261914)Termination reason: Instruction limit
% 18.11/3.44 % (2261914)Termination phase: Saturation
% 18.11/3.44 % (2261914)Time elapsed: 0.188 s
% 18.11/3.44 % (2261914)Peak memory usage: 95 MB
% 18.11/3.44 % (2261914)Instructions burned: 285 (million)
% 18.11/3.44 % (2261918)Instruction limit reached!
% 18.11/3.44 % (2261918)------------------------------
% 18.11/3.44 % (2261918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.11/3.44 % (2261918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/3.44 % (2261918)CaDiCaL version: 2.1.3
% 18.11/3.44 % (2261918)Termination reason: Instruction limit
% 18.11/3.44 % (2261918)Termination phase: Saturation
% 18.11/3.44 % (2261918)Time elapsed: 0.144 s
% 18.11/3.44 % (2261918)Peak memory usage: 94 MB
% 18.11/3.44 % (2261918)Instructions burned: 249 (million)
% 18.11/3.44 % (2261921)Instruction limit reached!
% 18.11/3.44 % (2261921)------------------------------
% 18.11/3.44 % (2261921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.11/3.44 % (2261921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/3.44 % (2261921)CaDiCaL version: 2.1.3
% 18.11/3.44 % (2261921)Termination reason: Instruction limit
% 18.11/3.44 % (2261921)Termination phase: Saturation
% 18.11/3.44 % (2261921)Time elapsed: 0.099 s
% 18.11/3.44 % (2261921)Peak memory usage: 92 MB
% 18.11/3.44 % (2261921)Instructions burned: 295 (million)
% 18.11/3.44 % (2261917)Instruction limit reached!
% 18.11/3.44 % (2261917)------------------------------
% 18.11/3.44 % (2261917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.11/3.44 % (2261917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/3.44 % (2261917)CaDiCaL version: 2.1.3
% 18.11/3.44 % (2261917)Termination reason: Instruction limit
% 18.11/3.44 % (2261917)Termination phase: Saturation
% 18.11/3.44 % (2261917)Time elapsed: 0.228 s
% 18.11/3.44 % (2261917)Peak memory usage: 94 MB
% 18.11/3.44 % (2261917)Instructions burned: 327 (million)
% 18.11/3.44 % (2261927)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2979109943:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 18.11/3.44 % (2261925)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3376991159:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 18.11/3.44 % (2261926)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2288580607:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 18.11/3.44 % (2261927)Instruction limit reached!
% 18.11/3.44 % (2261927)------------------------------
% 18.11/3.44 % (2261927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.11/3.44 % (2261927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/3.44 % (2261927)CaDiCaL version: 2.1.3
% 18.11/3.44 % (2261927)Termination reason: Instruction limit
% 18.11/3.44 % (2261927)Termination phase: Saturation
% 18.11/3.44 % (2261927)Time elapsed: 0.038 s
% 18.11/3.44 % (2261927)Peak memory usage: 91 MB
% 18.11/3.44 % (2261927)Instructions burned: 128 (million)
% 18.11/3.44 % (2261926)Instruction limit reached!
% 18.11/3.44 % (2261926)------------------------------
% 18.11/3.44 % (2261926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.11/3.44 % (2261926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.11/3.44 % (2261926)CaDiCaL version: 2.1.3
% 18.11/3.44 % (2261926)Termination reason: Instruction limit
% 18.11/3.44 % (2261926)Termination phase: Saturation
% 42.40/6.94 % (2261926)Time elapsed: 0.069 s
% 42.40/6.94 % (2261926)Peak memory usage: 91 MB
% 42.40/6.94 % (2261926)Instructions burned: 113 (million)
% 42.40/6.94 % (2261928)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1199089550:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 42.40/6.94 % (2261932)lrs+10_1_sil=8000:sp=occurrence:random_seed=1066821501:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 42.40/6.94 % (2261928)Instruction limit reached!
% 42.40/6.94 % (2261928)------------------------------
% 42.40/6.94 % (2261928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.40/6.94 % (2261928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/6.94 % (2261928)CaDiCaL version: 2.1.3
% 42.40/6.94 % (2261928)Termination reason: Instruction limit
% 42.40/6.94 % (2261928)Termination phase: Saturation
% 42.40/6.94 % (2261928)Time elapsed: 0.057 s
% 42.40/6.94 % (2261928)Peak memory usage: 89 MB
% 42.40/6.94 % (2261928)Instructions burned: 115 (million)
% 42.40/6.94 % (2261933)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2396885383:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 42.40/6.94 % (2261936)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4059582421:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 42.40/6.94 % (2261932)Instruction limit reached!
% 42.40/6.94 % (2261932)------------------------------
% 42.40/6.94 % (2261932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.40/6.94 % (2261932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/6.94 % (2261932)CaDiCaL version: 2.1.3
% 42.40/6.94 % (2261932)Termination reason: Instruction limit
% 42.40/6.94 % (2261932)Termination phase: Saturation
% 42.40/6.94 % (2261932)Time elapsed: 0.317 s
% 42.40/6.94 % (2261932)Peak memory usage: 104 MB
% 42.40/6.94 % (2261932)Instructions burned: 910 (million)
% 42.40/6.94 % (2261933)Instruction limit reached!
% 42.40/6.94 % (2261933)------------------------------
% 42.40/6.94 % (2261933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.40/6.94 % (2261933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/6.94 % (2261933)CaDiCaL version: 2.1.3
% 42.40/6.94 % (2261933)Termination reason: Instruction limit
% 42.40/6.94 % (2261933)Termination phase: Saturation
% 42.40/6.94 % (2261933)Time elapsed: 0.271 s
% 42.40/6.94 % (2261933)Peak memory usage: 94 MB
% 42.40/6.94 % (2261933)Instructions burned: 437 (million)
% 42.40/6.94 % (2261939)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1871647087:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 42.40/6.94 % (2261940)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2679768238:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 42.40/6.94 % (2261939)Instruction limit reached!
% 42.40/6.94 % (2261939)------------------------------
% 42.40/6.94 % (2261939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.40/6.94 % (2261939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/6.94 % (2261939)CaDiCaL version: 2.1.3
% 42.40/6.94 % (2261939)Termination reason: Instruction limit
% 42.40/6.94 % (2261939)Termination phase: Saturation
% 42.40/6.94 % (2261939)Time elapsed: 0.076 s
% 42.40/6.94 % (2261939)Peak memory usage: 92 MB
% 42.40/6.94 % (2261939)Instructions burned: 134 (million)
% 42.40/6.94 % (2261940)Instruction limit reached!
% 42.40/6.94 % (2261940)------------------------------
% 42.40/6.94 % (2261940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.40/6.94 % (2261940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.40/6.94 % (2261940)CaDiCaL version: 2.1.3
% 42.40/6.94 % (2261940)Termination reason: Instruction limit
% 42.40/6.94 % (2261940)Termination phase: Saturation
% 42.40/6.94 % (2261940)Time elapsed: 0.199 s
% 42.40/6.94 % (2261940)Peak memory usage: 99 MB
% 42.40/6.94 % (2261940)Instructions burned: 594 (million)
% 42.40/6.94 % (2261943)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3190970409:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 42.40/6.94 % (2261944)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1423524772:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 69.27/10.62 % (2261944)Instruction limit reached!
% 69.27/10.62 % (2261944)------------------------------
% 69.27/10.62 % (2261944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.27/10.62 % (2261944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.27/10.62 % (2261944)CaDiCaL version: 2.1.3
% 69.27/10.62 % (2261944)Termination reason: Instruction limit
% 69.27/10.62 % (2261944)Termination phase: Saturation
% 69.27/10.62 % (2261944)Time elapsed: 0.045 s
% 69.27/10.62 % (2261944)Peak memory usage: 92 MB
% 69.27/10.62 % (2261944)Instructions burned: 127 (million)
% 69.27/10.62 % (2261947)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=191749740:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 69.27/10.62 % (2261947)Instruction limit reached!
% 69.27/10.62 % (2261947)------------------------------
% 69.27/10.62 % (2261947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.27/10.62 % (2261947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.27/10.62 % (2261947)CaDiCaL version: 2.1.3
% 69.27/10.62 % (2261947)Termination reason: Instruction limit
% 69.27/10.62 % (2261947)Termination phase: Saturation
% 69.27/10.62 % (2261947)Time elapsed: 0.078 s
% 69.27/10.62 % (2261947)Peak memory usage: 92 MB
% 69.27/10.62 % (2261947)Instructions burned: 135 (million)
% 69.27/10.62 % (2261949)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=218986584:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/141Mi)
% 69.27/10.62 % (2261949)Instruction limit reached!
% 69.27/10.62 % (2261949)------------------------------
% 69.27/10.62 % (2261949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.27/10.62 % (2261949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.27/10.62 % (2261949)CaDiCaL version: 2.1.3
% 69.27/10.62 % (2261949)Termination reason: Instruction limit
% 69.27/10.62 % (2261949)Termination phase: Saturation
% 69.27/10.62 % (2261949)Time elapsed: 0.079 s
% 69.27/10.62 % (2261949)Peak memory usage: 92 MB
% 69.27/10.62 % (2261949)Instructions burned: 142 (million)
% 69.27/10.62 % (2261951)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3291003281:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2980 on theBenchmark for (2980ds/431Mi)
% 69.27/10.62 % (2261925)Instruction limit reached!
% 69.27/10.62 % (2261925)------------------------------
% 69.27/10.62 % (2261925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.27/10.62 % (2261925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.27/10.62 % (2261925)CaDiCaL version: 2.1.3
% 69.27/10.62 % (2261925)Termination reason: Instruction limit
% 69.27/10.62 % (2261925)Termination phase: Saturation
% 69.27/10.62 % (2261925)Time elapsed: 1.483 s
% 69.27/10.62 % (2261925)Peak memory usage: 146 MB
% 69.27/10.62 % (2261925)Instructions burned: 2351 (million)
% 69.27/10.62 % (2261953)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=262158791:i=6060:aac=none:ins=25_2978 on theBenchmark for (2978ds/6060Mi)
% 69.27/10.62 % (2261951)Instruction limit reached!
% 69.27/10.62 % (2261951)------------------------------
% 69.27/10.62 % (2261951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.27/10.62 % (2261951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.27/10.62 % (2261951)CaDiCaL version: 2.1.3
% 69.27/10.62 % (2261951)Termination reason: Instruction limit
% 69.27/10.62 % (2261951)Termination phase: Saturation
% 69.27/10.62 % (2261951)Time elapsed: 0.257 s
% 69.27/10.62 % (2261951)Peak memory usage: 95 MB
% 69.27/10.62 % (2261951)Instructions burned: 431 (million)
% 69.27/10.62 % (2261955)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1180880763:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 69.27/10.62 % (2261955)Instruction limit reached!
% 69.27/10.62 % (2261955)------------------------------
% 69.27/10.62 % (2261955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 69.27/10.62 % (2261955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.27/10.62 % (2261955)CaDiCaL version: 2.1.3
% 69.27/10.62 % (2261955)Termination reason: Instruction limit
% 69.27/10.62 % (2261955)Termination phase: Saturation
% 69.27/10.62 % (2261955)Time elapsed: 0.085 s
% 69.27/10.62 % (2261955)Peak memory usage: 91 MB
% 95.50/14.30 % (2261955)Instructions burned: 151 (million)
% 95.50/14.30 % (2261957)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1017244031:i=14155:bd=all_2974 on theBenchmark for (2974ds/14155Mi)
% 95.50/14.30 % (2261936)Instruction limit reached!
% 95.50/14.30 % (2261936)------------------------------
% 95.50/14.30 % (2261936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.50/14.30 % (2261936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.50/14.30 % (2261936)CaDiCaL version: 2.1.3
% 95.50/14.30 % (2261936)Termination reason: Instruction limit
% 95.50/14.30 % (2261936)Termination phase: Saturation
% 95.50/14.30 % (2261936)Time elapsed: 2.135 s
% 95.50/14.30 % (2261936)Peak memory usage: 166 MB
% 95.50/14.30 % (2261936)Instructions burned: 5203 (million)
% 95.50/14.30 % (2261959)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=356295831:i=667:av=off:fsr=off_2969 on theBenchmark for (2969ds/667Mi)
% 95.50/14.30 % (2261959)Instruction limit reached!
% 95.50/14.30 % (2261959)------------------------------
% 95.50/14.30 % (2261959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.50/14.30 % (2261959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.50/14.30 % (2261959)CaDiCaL version: 2.1.3
% 95.50/14.30 % (2261959)Termination reason: Instruction limit
% 95.50/14.30 % (2261959)Termination phase: Saturation
% 95.50/14.30 % (2261959)Time elapsed: 0.171 s
% 95.50/14.30 % (2261959)Peak memory usage: 91 MB
% 95.50/14.30 % (2261959)Instructions burned: 668 (million)
% 95.50/14.30 % (2261961)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3599205100:s2a=on:i=185:s2at=1.8:fdi=4_2966 on theBenchmark for (2966ds/185Mi)
% 95.50/14.30 % (2261961)Instruction limit reached!
% 95.50/14.30 % (2261961)------------------------------
% 95.50/14.30 % (2261961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.50/14.30 % (2261961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.50/14.30 % (2261961)CaDiCaL version: 2.1.3
% 95.50/14.30 % (2261961)Termination reason: Instruction limit
% 95.50/14.30 % (2261961)Termination phase: Saturation
% 95.50/14.30 % (2261961)Time elapsed: 0.054 s
% 95.50/14.30 % (2261961)Peak memory usage: 93 MB
% 95.50/14.30 % (2261961)Instructions burned: 185 (million)
% 95.50/14.30 % (2261963)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2270262042:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2965 on theBenchmark for (2965ds/193Mi)
% 95.50/14.30 % (2261963)Instruction limit reached!
% 95.50/14.30 % (2261963)------------------------------
% 95.50/14.30 % (2261963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.50/14.30 % (2261963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.50/14.30 % (2261963)CaDiCaL version: 2.1.3
% 95.50/14.30 % (2261963)Termination reason: Instruction limit
% 95.50/14.30 % (2261963)Termination phase: Saturation
% 95.50/14.30 % (2261963)Time elapsed: 0.063 s
% 95.50/14.30 % (2261963)Peak memory usage: 94 MB
% 95.50/14.30 % (2261963)Instructions burned: 195 (million)
% 95.50/14.30 % (2261965)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3792751526:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2963 on theBenchmark for (2963ds/4850Mi)
% 95.50/14.30 % (2261965)Instruction limit reached!
% 95.50/14.30 % (2261965)------------------------------
% 95.50/14.30 % (2261965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.50/14.30 % (2261965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.50/14.30 % (2261965)CaDiCaL version: 2.1.3
% 95.50/14.30 % (2261965)Termination reason: Instruction limit
% 95.50/14.30 % (2261965)Termination phase: Saturation
% 95.50/14.30 % (2261965)Time elapsed: 1.602 s
% 95.50/14.30 % (2261965)Peak memory usage: 145 MB
% 95.50/14.30 % (2261965)Instructions burned: 4851 (million)
% 95.50/14.30 % (2261967)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3842772189:i=12111:sd=1:ss=included_2946 on theBenchmark for (2946ds/12111Mi)
% 95.50/14.30 % (2261953)Instruction limit reached!
% 95.50/14.30 % (2261953)------------------------------
% 95.50/14.30 % (2261953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 95.50/14.30 % (2261953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 95.50/14.30 % (2261953)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261953)Termination reason: Instruction limit
% 87.18/15.20 % (2261953)Termination phase: Saturation
% 87.18/15.20 % (2261953)Time elapsed: 3.844 s
% 87.18/15.20 % (2261953)Peak memory usage: 172 MB
% 87.18/15.20 % (2261953)Instructions burned: 6061 (million)
% 87.18/15.20 % (2261969)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1336578372:i=319:kws=precedence:fsr=off_2939 on theBenchmark for (2939ds/319Mi)
% 87.18/15.20 % (2261969)Instruction limit reached!
% 87.18/15.20 % (2261969)------------------------------
% 87.18/15.20 % (2261969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261969)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261969)Termination reason: Instruction limit
% 87.18/15.20 % (2261969)Termination phase: Saturation
% 87.18/15.20 % (2261969)Time elapsed: 0.179 s
% 87.18/15.20 % (2261969)Peak memory usage: 95 MB
% 87.18/15.20 % (2261969)Instructions burned: 320 (million)
% 87.18/15.20 % (2261971)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3104055627:i=2064:ep=RST_2935 on theBenchmark for (2935ds/2064Mi)
% 87.18/15.20 % (2261971)Instruction limit reached!
% 87.18/15.20 % (2261971)------------------------------
% 87.18/15.20 % (2261971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261971)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261971)Termination reason: Instruction limit
% 87.18/15.20 % (2261971)Termination phase: Saturation
% 87.18/15.20 % (2261971)Time elapsed: 1.125 s
% 87.18/15.20 % (2261971)Peak memory usage: 117 MB
% 87.18/15.20 % (2261971)Instructions burned: 2064 (million)
% 87.18/15.20 % (2261973)dis-1011_128_sil=32000:random_seed=214023521:i=3706:ep=RST:av=off_2923 on theBenchmark for (2923ds/3706Mi)
% 87.18/15.20 % (2261967)Instruction limit reached!
% 87.18/15.20 % (2261967)------------------------------
% 87.18/15.20 % (2261967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261967)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261967)Termination reason: Instruction limit
% 87.18/15.20 % (2261967)Termination phase: Saturation
% 87.18/15.20 % (2261967)Time elapsed: 3.908 s
% 87.18/15.20 % (2261967)Peak memory usage: 253 MB
% 87.18/15.20 % (2261967)Instructions burned: 12114 (million)
% 87.18/15.20 % (2261975)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3203710637:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2906 on theBenchmark for (2906ds/757Mi)
% 87.18/15.20 % (2261943)Instruction limit reached!
% 87.18/15.20 % (2261943)------------------------------
% 87.18/15.20 % (2261943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261943)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261943)Termination reason: Instruction limit
% 87.18/15.20 % (2261943)Termination phase: Saturation
% 87.18/15.20 % (2261943)Time elapsed: 8.173 s
% 87.18/15.20 % (2261943)Peak memory usage: 239 MB
% 87.18/15.20 % (2261943)Instructions burned: 13194 (million)
% 87.18/15.20 % (2261975)Instruction limit reached!
% 87.18/15.20 % (2261975)------------------------------
% 87.18/15.20 % (2261975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261975)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261975)Termination reason: Instruction limit
% 87.18/15.20 % (2261975)Termination phase: Saturation
% 87.18/15.20 % (2261975)Time elapsed: 0.276 s
% 87.18/15.20 % (2261975)Peak memory usage: 109 MB
% 87.18/15.20 % (2261975)Instructions burned: 758 (million)
% 87.18/15.20 % (2261977)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1939498397:i=13913:ss=axioms:sgt=8_2903 on theBenchmark for (2903ds/13913Mi)
% 87.18/15.20 % (2261973)Instruction limit reached!
% 87.18/15.20 % (2261973)------------------------------
% 87.18/15.20 % (2261973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261973)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261973)Termination reason: Instruction limit
% 87.18/15.20 % (2261973)Termination phase: Saturation
% 87.18/15.20 % (2261973)Time elapsed: 1.959 s
% 87.18/15.20 % (2261973)Peak memory usage: 121 MB
% 87.18/15.20 % (2261973)Instructions burned: 3706 (million)
% 87.18/15.20 % (2261978)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2852989628:i=9925:aac=none_2903 on theBenchmark for (2903ds/9925Mi)
% 87.18/15.20 % (2261980)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3451933847:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2902 on theBenchmark for (2902ds/2479Mi)
% 87.18/15.20 % (2261957)Instruction limit reached!
% 87.18/15.20 % (2261957)------------------------------
% 87.18/15.20 % (2261957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261957)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261957)Termination reason: Instruction limit
% 87.18/15.20 % (2261957)Termination phase: Saturation
% 87.18/15.20 % (2261957)Time elapsed: 8.339 s
% 87.18/15.20 % (2261957)Peak memory usage: 248 MB
% 87.18/15.20 % (2261957)Instructions burned: 14156 (million)
% 87.18/15.20 % (2261983)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2827307810:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2889 on theBenchmark for (2889ds/440Mi)
% 87.18/15.20 % (2261980)Instruction limit reached!
% 87.18/15.20 % (2261980)------------------------------
% 87.18/15.20 % (2261980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261980)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261980)Termination reason: Instruction limit
% 87.18/15.20 % (2261980)Termination phase: Saturation
% 87.18/15.20 % (2261980)Time elapsed: 1.510 s
% 87.18/15.20 % (2261980)Peak memory usage: 111 MB
% 87.18/15.20 % (2261980)Instructions burned: 2479 (million)
% 87.18/15.20 % (2261983)Instruction limit reached!
% 87.18/15.20 % (2261983)------------------------------
% 87.18/15.20 % (2261983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261983)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261983)Termination reason: Instruction limit
% 87.18/15.20 % (2261983)Termination phase: Saturation
% 87.18/15.20 % (2261983)Time elapsed: 0.254 s
% 87.18/15.20 % (2261983)Peak memory usage: 96 MB
% 87.18/15.20 % (2261983)Instructions burned: 441 (million)
% 87.18/15.20 % (2261985)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=829590691:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2885 on theBenchmark for (2885ds/11145Mi)
% 87.18/15.20 % (2261986)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3255209311:cts=off:i=3034:av=off:er=known:fsd=on_2885 on theBenchmark for (2885ds/3034Mi)
% 87.18/15.20 % (2261978)Instruction limit reached!
% 87.18/15.20 % (2261978)------------------------------
% 87.18/15.20 % (2261978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261978)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261978)Termination reason: Instruction limit
% 87.18/15.20 % (2261978)Termination phase: Saturation
% 87.18/15.20 % (2261978)Time elapsed: 3.214 s
% 87.18/15.20 % (2261978)Peak memory usage: 208 MB
% 87.18/15.20 % (2261978)Instructions burned: 9927 (million)
% 87.18/15.20 % (2261989)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=4214560129:st=2:s2a=on:i=524:s2at=2:ss=axioms_2870 on theBenchmark for (2870ds/524Mi)
% 87.18/15.20 % (2261989)Instruction limit reached!
% 87.18/15.20 % (2261989)------------------------------
% 87.18/15.20 % (2261989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261989)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261989)Termination reason: Instruction limit
% 87.18/15.20 % (2261989)Termination phase: Saturation
% 87.18/15.20 % (2261989)Time elapsed: 0.158 s
% 87.18/15.20 % (2261989)Peak memory usage: 97 MB
% 87.18/15.20 % (2261989)Instructions burned: 524 (million)
% 87.18/15.20 % (2261991)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=904550737:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2867 on theBenchmark for (2867ds/1016Mi)
% 87.18/15.20 % (2261986)Instruction limit reached!
% 87.18/15.20 % (2261986)------------------------------
% 87.18/15.20 % (2261986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261986)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261986)Termination reason: Instruction limit
% 87.18/15.20 % (2261986)Termination phase: Saturation
% 87.18/15.20 % (2261986)Time elapsed: 1.858 s
% 87.18/15.20 % (2261986)Peak memory usage: 147 MB
% 87.18/15.20 % (2261986)Instructions burned: 3035 (million)
% 87.18/15.20 % (2261993)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2799228787:i=14123:bd=preordered:ins=4_2865 on theBenchmark for (2865ds/14123Mi)
% 87.18/15.20 % (2261991)Instruction limit reached!
% 87.18/15.20 % (2261991)------------------------------
% 87.18/15.20 % (2261991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 87.18/15.20 % (2261991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 87.18/15.20 % (2261991)CaDiCaL version: 2.1.3
% 87.18/15.20 % (2261991)Termination reason: Instruction limit
% 87.18/15.20 % (2261991)Termination phase: Saturation
% 87.18/15.20 % (2261991)Time elapsed: 0.346 s
% 87.18/15.20 % (2261991)Peak memory usage: 120 MB
% 87.18/15.20 % (2261991)Instructions burned: 1018 (million)
% 87.18/15.20 % (2261995)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3491382412:i=5781:kws=precedence:bd=all:rawr=on_2863 on theBenchmark for (2863ds/5781Mi)
% 87.18/15.20 % (2261902)First to succeed.
% 87.18/15.20 % (2261902)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2261896"
% 87.18/15.20 % (2261902)Refutation found. Thanks to Tanya!
% 87.18/15.20 % SZS status Theorem for theBenchmark
% 87.18/15.20 % SZS output start Proof for theBenchmark
% See solution above
% 101.88/15.29 % (2261902)------------------------------
% 101.88/15.29 % (2261902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 101.88/15.29 % (2261902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.88/15.29 % (2261902)CaDiCaL version: 2.1.3
% 101.88/15.29 % (2261902)Termination reason: Refutation
% 101.88/15.29 % (2261902)Time elapsed: 13.841 s
% 101.88/15.29 % (2261902)Peak memory usage: 348 MB
% 101.88/15.29 % (2261902)Instructions burned: 24753 (million)
% 101.88/15.29 % (2261902)------------------------------
% 101.88/15.29 % (2261902)------------------------------
% 101.88/15.29 % (2261896)Success in time 14.338 s
% 101.88/15.29 % Vampire exiting
%------------------------------------------------------------------------------