%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV424_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:57:40 PM UTC 2026
% Result : Theorem 17.75s 3.65s
% Output : Refutation 20.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 36
% Syntax : Number of formulae : 240 ( 70 unt; 0 typ; 27 def)
% Number of atoms : 524 ( 158 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 508 ( 224 ~; 207 |; 43 &)
% ( 27 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number arithmetic : 131 ( 0 atm; 79 fun; 52 num; 0 var)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 17 prp; 0-2 aty)
% Number of functors : 30 ( 24 usr; 21 con; 0-2 aty)
% Number of variables : 152 ( 0 sgn 135 !; 17 ?; 152 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
set: $tType ).
tff(type_def_6,type,
element: $tType ).
tff(func_def_0,type,
empty_set: set ).
tff(func_def_1,type,
singleton: element > set ).
tff(func_def_2,type,
intersection: ( set * set ) > set ).
tff(func_def_3,type,
union: ( set * set ) > set ).
tff(func_def_4,type,
difference: ( set * set ) > set ).
tff(func_def_5,type,
complement: set > set ).
tff(func_def_6,type,
cardinality: set > $int ).
tff(func_def_11,type,
sK0: set > element ).
tff(func_def_12,type,
sK1: element ).
tff(func_def_13,type,
sK2: element ).
tff(func_def_14,type,
sK3: set ).
tff(func_def_15,type,
sK4: element ).
tff(func_def_16,type,
sK5: set ).
tff(func_def_17,type,
sF6: set ).
tff(func_def_18,type,
sF7: set ).
tff(func_def_19,type,
sF8: set ).
tff(func_def_20,type,
sF9: set ).
tff(func_def_21,type,
sF10: set ).
tff(func_def_22,type,
sF11: set ).
tff(func_def_23,type,
sF12: $int ).
tff(func_def_24,type,
sF13: $int ).
tff(func_def_25,type,
sF14: $int ).
tff(func_def_26,type,
sF15: set ).
tff(func_def_27,type,
sF16: set ).
tff(func_def_29,type,
2: $int > $int ).
tff(pred_def_1,type,
member: ( element * set ) > $o ).
tff(pred_def_2,type,
subset: ( set * set ) > $o ).
tff(f1,axiom,
! [X0: set] :
( ! [X1: element] : ~ member(X1,X0)
<=> ( X0 = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set) ).
tff(f2,axiom,
! [X1: element,X0: element] :
( ( X0 = X1 )
<=> member(X0,singleton(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton) ).
tff(f3,axiom,
! [X1: set,X0: set] :
( subset(X0,X1)
<=> ! [X2: element] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
tff(f4,axiom,
! [X1: set,X0: element,X2: set] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection) ).
tff(f5,axiom,
! [X0: element,X2: set,X1: set] :
( member(X0,union(X1,X2))
<=> ( member(X0,X2)
| member(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
tff(f8,axiom,
! [X0: set] :
( ( X0 = empty_set )
<=> ( cardinality(X0) = 0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinality_empty_set) ).
tff(f10,axiom,
! [X0: element,X1: set] :
( ( cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) )
<=> ( intersection(singleton(X0),X1) = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinality_intersection_2) ).
tff(f12,axiom,
! [X0: set,X1: set] :
( ( cardinality(union(X0,X1)) = $sum(cardinality(X0),cardinality(X1)) )
<=> ( intersection(X0,X1) = empty_set ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinality_union) ).
tff(f13,conjecture,
! [X2: element,X0: set,X1: set,X3: element,X4: element] :
( ( ~ member(X4,union(union(X1,singleton(X2)),singleton(X3)))
& ~ member(X3,union(X1,singleton(X2)))
& subset(X0,X1)
& ~ member(X2,X1) )
=> ( cardinality(union(union(union(X0,singleton(X2)),singleton(X3)),singleton(X4))) = $sum(cardinality(X0),3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',vc4) ).
tff(f14,negated_conjecture,
~ ! [X2: element,X0: set,X1: set,X3: element,X4: element] :
( ( ~ member(X4,union(union(X1,singleton(X2)),singleton(X3)))
& ~ member(X3,union(X1,singleton(X2)))
& subset(X0,X1)
& ~ member(X2,X1) )
=> ( cardinality(union(union(union(X0,singleton(X2)),singleton(X3)),singleton(X4))) = $sum(cardinality(X0),3) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
tff(f15,plain,
! [X0: element,X1: set,X2: set] :
( ( member(X0,X2)
| member(X0,X1) )
<=> member(X0,union(X2,X1)) ),
inference(rectify,[],[f5]) ).
tff(f18,plain,
! [X1: set,X0: set] :
( subset(X1,X0)
<=> ! [X2: element] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(rectify,[],[f3]) ).
tff(f19,plain,
! [X0: element,X1: element] :
( ( X0 = X1 )
<=> member(X1,singleton(X0)) ),
inference(rectify,[],[f2]) ).
tff(f20,plain,
~ ! [X2: set,X3: element,X4: element,X0: element,X1: set] :
( ( subset(X1,X2)
& ~ member(X3,union(X2,singleton(X0)))
& ~ member(X0,X2)
& ~ member(X4,union(union(X2,singleton(X0)),singleton(X3))) )
=> ( cardinality(union(union(union(X1,singleton(X0)),singleton(X3)),singleton(X4))) = $sum(cardinality(X1),3) ) ),
inference(rectify,[],[f14]) ).
tff(f21,plain,
! [X1: set,X0: set] :
( subset(X1,X0)
=> ! [X2: element] :
( member(X2,X1)
=> member(X2,X0) ) ),
inference(unused_predicate_definition_removal,[],[f18]) ).
tff(f22,plain,
! [X0: set,X1: set] :
( ~ subset(X1,X0)
| ! [X2: element] :
( member(X2,X0)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f21]) ).
tff(f23,plain,
? [X2: set,X3: element,X4: element,X0: element,X1: set] :
( ( cardinality(union(union(union(X1,singleton(X0)),singleton(X3)),singleton(X4))) != $sum(cardinality(X1),3) )
& subset(X1,X2)
& ~ member(X3,union(X2,singleton(X0)))
& ~ member(X0,X2)
& ~ member(X4,union(union(X2,singleton(X0)),singleton(X3))) ),
inference(ennf_transformation,[],[f20]) ).
tff(f24,plain,
? [X0: element,X4: element,X1: set,X3: element,X2: set] :
( ( cardinality(union(union(union(X1,singleton(X0)),singleton(X3)),singleton(X4))) != $sum(cardinality(X1),3) )
& ~ member(X3,union(X2,singleton(X0)))
& ~ member(X0,X2)
& ~ member(X4,union(union(X2,singleton(X0)),singleton(X3)))
& subset(X1,X2) ),
inference(flattening,[],[f23]) ).
tff(f30,plain,
! [X0: set] :
( ( ! [X1: element] : ~ member(X1,X0)
| ( empty_set != X0 ) )
& ( ( X0 = empty_set )
| ? [X1: element] : member(X1,X0) ) ),
inference(nnf_transformation,[],[f1]) ).
tff(f31,plain,
! [X0: set] :
( ( ! [X1: element] : ~ member(X1,X0)
| ( empty_set != X0 ) )
& ( ( X0 = empty_set )
| ? [X2: element] : member(X2,X0) ) ),
inference(rectify,[],[f30]) ).
tff(f32,plain,
! [X0: set] :
( ( ! [X1: element] : ~ member(X1,X0)
| ( empty_set != X0 ) )
& ( ( X0 = empty_set )
| member(sK0(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f31]) ).
tff(f33,plain,
! [X0: element,X1: element] :
( ( ( X0 = X1 )
| ~ member(X1,singleton(X0)) )
& ( member(X1,singleton(X0))
| ( X0 != X1 ) ) ),
inference(nnf_transformation,[],[f19]) ).
tff(f36,plain,
! [X0: set] :
( ( ( X0 = empty_set )
| ( cardinality(X0) != 0 ) )
& ( ( cardinality(X0) = 0 )
| ( empty_set != X0 ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f37,plain,
! [X1: set,X0: element,X2: set] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f4]) ).
tff(f38,plain,
! [X1: set,X0: element,X2: set] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f37]) ).
tff(f39,plain,
! [X0: set,X1: element,X2: set] :
( ( member(X1,intersection(X0,X2))
| ~ member(X1,X0)
| ~ member(X1,X2) )
& ( ( member(X1,X0)
& member(X1,X2) )
| ~ member(X1,intersection(X0,X2)) ) ),
inference(rectify,[],[f38]) ).
tff(f40,plain,
! [X0: set,X1: set] :
( ( ( cardinality(union(X0,X1)) = $sum(cardinality(X0),cardinality(X1)) )
| ( empty_set != intersection(X0,X1) ) )
& ( ( intersection(X0,X1) = empty_set )
| ( cardinality(union(X0,X1)) != $sum(cardinality(X0),cardinality(X1)) ) ) ),
inference(nnf_transformation,[],[f12]) ).
tff(f43,plain,
? [X0: element,X1: element,X2: set,X3: element,X4: set] :
( ( $sum(cardinality(X2),3) != cardinality(union(union(union(X2,singleton(X0)),singleton(X3)),singleton(X1))) )
& ~ member(X3,union(X4,singleton(X0)))
& ~ member(X0,X4)
& ~ member(X1,union(union(X4,singleton(X0)),singleton(X3)))
& subset(X2,X4) ),
inference(rectify,[],[f24]) ).
tff(f44,plain,
( ( cardinality(union(union(union(sK3,singleton(sK1)),singleton(sK4)),singleton(sK2))) != $sum(cardinality(sK3),3) )
& ~ member(sK4,union(sK5,singleton(sK1)))
& ~ member(sK1,sK5)
& ~ member(sK2,union(union(sK5,singleton(sK1)),singleton(sK4)))
& subset(sK3,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f43]) ).
tff(f45,plain,
! [X0: element,X1: set] :
( ( ( cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) )
| ( empty_set != intersection(singleton(X0),X1) ) )
& ( ( intersection(singleton(X0),X1) = empty_set )
| ( cardinality(union(singleton(X0),X1)) != $sum(cardinality(X1),1) ) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f46,plain,
! [X0: element,X1: set,X2: set] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) )
& ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(nnf_transformation,[],[f15]) ).
tff(f47,plain,
! [X0: element,X1: set,X2: set] :
( ( member(X0,X2)
| member(X0,X1)
| ~ member(X0,union(X2,X1)) )
& ( member(X0,union(X2,X1))
| ( ~ member(X0,X2)
& ~ member(X0,X1) ) ) ),
inference(flattening,[],[f46]) ).
tff(f53,plain,
! [X0: set] :
( member(sK0(X0),X0)
| ( empty_set = X0 ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f54,plain,
! [X0: set,X1: element] :
( ~ member(X1,X0)
| ( empty_set != X0 ) ),
inference(cnf_transformation,[],[f32]) ).
tff(f56,plain,
! [X0: element,X1: element] :
( ~ member(X1,singleton(X0))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f57,plain,
! [X2: element,X0: set,X1: set] :
( ~ subset(X1,X0)
| member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f22]) ).
tff(f60,plain,
! [X0: set] :
( ( cardinality(X0) = 0 )
| ( empty_set != X0 ) ),
inference(cnf_transformation,[],[f36]) ).
tff(f62,plain,
! [X2: set,X0: set,X1: element] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X2) ),
inference(cnf_transformation,[],[f39]) ).
tff(f63,plain,
! [X2: set,X0: set,X1: element] :
( ~ member(X1,intersection(X0,X2))
| member(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
tff(f66,plain,
! [X0: set,X1: set] :
( ( empty_set != intersection(X0,X1) )
| ( cardinality(union(X0,X1)) = $sum(cardinality(X0),cardinality(X1)) ) ),
inference(cnf_transformation,[],[f40]) ).
tff(f69,plain,
subset(sK3,sK5),
inference(cnf_transformation,[],[f44]) ).
tff(f70,plain,
~ member(sK2,union(union(sK5,singleton(sK1)),singleton(sK4))),
inference(cnf_transformation,[],[f44]) ).
tff(f71,plain,
~ member(sK1,sK5),
inference(cnf_transformation,[],[f44]) ).
tff(f72,plain,
~ member(sK4,union(sK5,singleton(sK1))),
inference(cnf_transformation,[],[f44]) ).
tff(f73,plain,
cardinality(union(union(union(sK3,singleton(sK1)),singleton(sK4)),singleton(sK2))) != $sum(cardinality(sK3),3),
inference(cnf_transformation,[],[f44]) ).
tff(f75,plain,
! [X0: element,X1: set] :
( ( empty_set != intersection(singleton(X0),X1) )
| ( cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) ) ),
inference(cnf_transformation,[],[f45]) ).
tff(f76,plain,
! [X2: set,X0: element,X1: set] :
( member(X0,union(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tff(f77,plain,
! [X2: set,X0: element,X1: set] :
( member(X0,union(X2,X1))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
tff(f78,plain,
! [X2: set,X0: element,X1: set] :
( ~ member(X0,union(X2,X1))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
tff(f79,plain,
! [X1: element] : ~ member(X1,empty_set),
inference(equality_resolution,[],[f54]) ).
tff(f81,plain,
0 = cardinality(empty_set),
inference(equality_resolution,[],[f60]) ).
tff(f82,definition,
sF6 = singleton(sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
tff(f83,definition,
sF7 = union(sK3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
tff(f84,plain,
union(sK3,sF6) = sF7,
inference(reorient_equations,[],[f83]) ).
tff(f85,definition,
sF8 = singleton(sK4),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
tff(f86,plain,
singleton(sK4) = sF8,
inference(reorient_equations,[],[f85]) ).
tff(f87,definition,
sF9 = union(sF7,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
tff(f88,definition,
sF10 = singleton(sK2),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
tff(f89,plain,
singleton(sK2) = sF10,
inference(reorient_equations,[],[f88]) ).
tff(f90,definition,
sF11 = union(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
tff(f91,plain,
union(sF9,sF10) = sF11,
inference(reorient_equations,[],[f90]) ).
tff(f92,definition,
sF12 = cardinality(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
tff(f93,plain,
cardinality(sF11) = sF12,
inference(reorient_equations,[],[f92]) ).
tff(f94,definition,
sF13 = cardinality(sK3),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
tff(f95,plain,
cardinality(sK3) = sF13,
inference(reorient_equations,[],[f94]) ).
tff(f96,definition,
sF14 = $sum(sF13,3),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
tff(f97,plain,
$sum(sF13,3) = sF14,
inference(reorient_equations,[],[f96]) ).
tff(f98,plain,
sF14 != sF12,
inference(definition_folding,[],[f73,f97,f95,f93,f91,f89,f87,f86,f84,f82]) ).
tff(f99,definition,
sF15 = union(sK5,sF6),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
tff(f100,plain,
union(sK5,sF6) = sF15,
inference(reorient_equations,[],[f99]) ).
tff(f101,plain,
~ member(sK4,sF15),
inference(definition_folding,[],[f72,f100,f82]) ).
tff(f102,definition,
sF16 = union(sF15,sF8),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
tff(f103,plain,
~ member(sK2,sF16),
inference(definition_folding,[],[f70,f102,f86,f100,f82]) ).
tff(f105,plain,
! [X0: element,X1: set] :
( ( empty_set != intersection(singleton(X0),X1) )
| ( cardinality(union(singleton(X0),X1)) = $sum(1,cardinality(X1)) ) ),
inference(evaluation,[],[f75]) ).
tff(f106,plain,
sF14 = $sum(3,sF13),
inference(evaluation,[],[f97]) ).
tff(f110,plain,
sF12 != $sum(3,sF13),
inference(superposition,[],[f98,f106]) ).
tff(f114,plain,
! [X0: element] :
( ~ member(X0,sF6)
| ( sK1 = X0 ) ),
inference(superposition,[],[f56,f82]) ).
tff(f115,plain,
! [X0: element] :
( ~ member(X0,sF8)
| ( sK4 = X0 ) ),
inference(superposition,[],[f56,f86]) ).
tff(f116,plain,
! [X0: element] :
( ~ member(X0,sF10)
| ( sK2 = X0 ) ),
inference(superposition,[],[f56,f89]) ).
tff(f164,plain,
! [X0: set,X1: set] :
( member(sK0(intersection(X0,X1)),X1)
| ( empty_set = intersection(X0,X1) ) ),
inference(resolution,[],[f62,f53]) ).
tff(f169,plain,
! [X0: set,X1: set] :
( member(sK0(intersection(X0,X1)),X0)
| ( empty_set = intersection(X0,X1) ) ),
inference(resolution,[],[f63,f53]) ).
tff(f173,plain,
! [X0: element] :
( ~ member(X0,sF6)
| member(X0,sF15) ),
inference(superposition,[],[f76,f100]) ).
tff(f176,plain,
! [X0: element] :
( ~ member(X0,sF8)
| member(X0,sF16) ),
inference(superposition,[],[f76,f102]) ).
tff(f178,plain,
! [X0: element] :
( ~ member(X0,sK5)
| member(X0,sF15) ),
inference(superposition,[],[f77,f100]) ).
tff(f181,plain,
! [X0: element] :
( ~ member(X0,sF15)
| member(X0,sF16) ),
inference(superposition,[],[f77,f102]) ).
tff(f183,plain,
! [X0: element] :
( ~ member(X0,sK3)
| member(X0,sK5) ),
inference(resolution,[],[f57,f69]) ).
tff(f214,plain,
! [X0: element] :
( ~ member(X0,sF7)
| member(X0,sK3)
| member(X0,sF6) ),
inference(superposition,[],[f78,f84]) ).
tff(f216,plain,
! [X0: element] :
( ~ member(X0,sF9)
| member(X0,sF7)
| member(X0,sF8) ),
inference(superposition,[],[f78,f87]) ).
tff(f229,definition,
( spl17_12
<=> ( empty_set = intersection(sF7,sF8) ) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
tff(f231,plain,
( ( empty_set = intersection(sF7,sF8) )
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f229]) ).
tff(f259,definition,
( spl17_18
<=> ( empty_set = intersection(sK3,sF6) ) ),
introduced(definition,[new_symbols(definition,[spl17_18])],[avatar_definition]) ).
tff(f261,plain,
( ( empty_set = intersection(sK3,sF6) )
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f259]) ).
tff(f263,definition,
( spl17_19
<=> ( cardinality(sF7) = $sum(sF13,cardinality(sF6)) ) ),
introduced(definition,[new_symbols(definition,[spl17_19])],[avatar_definition]) ).
tff(f264,plain,
( ( cardinality(sF7) = $sum(sF13,cardinality(sF6)) )
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f263]) ).
tff(f288,definition,
( spl17_23
<=> ( empty_set = intersection(sF9,sF10) ) ),
introduced(definition,[new_symbols(definition,[spl17_23])],[avatar_definition]) ).
tff(f290,plain,
( ( empty_set = intersection(sF9,sF10) )
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f288]) ).
tff(f310,plain,
! [X0: set] :
( ( empty_set != intersection(sF6,X0) )
| ( cardinality(union(sF6,X0)) = $sum(1,cardinality(X0)) ) ),
inference(superposition,[],[f105,f82]) ).
tff(f311,plain,
! [X0: set] :
( ( empty_set != intersection(sF8,X0) )
| ( cardinality(union(sF8,X0)) = $sum(1,cardinality(X0)) ) ),
inference(superposition,[],[f105,f86]) ).
tff(f312,plain,
! [X0: set] :
( ( empty_set != intersection(sF10,X0) )
| ( cardinality(union(sF10,X0)) = $sum(1,cardinality(X0)) ) ),
inference(superposition,[],[f105,f89]) ).
tff(f608,plain,
! [X0: set] : ( empty_set = intersection(X0,empty_set) ),
inference(resolution,[],[f164,f79]) ).
tff(f621,plain,
! [X0: set] :
( ( sK1 = sK0(intersection(X0,sF6)) )
| ( empty_set = intersection(X0,sF6) ) ),
inference(resolution,[],[f164,f114]) ).
tff(f626,plain,
! [X0: set] :
( ( sK4 = sK0(intersection(X0,sF8)) )
| ( empty_set = intersection(X0,sF8) ) ),
inference(resolution,[],[f164,f115]) ).
tff(f630,plain,
! [X0: set] :
( ( sK2 = sK0(intersection(X0,sF10)) )
| ( empty_set = intersection(X0,sF10) ) ),
inference(resolution,[],[f164,f116]) ).
tff(f659,plain,
! [X0: set] :
( member(sK0(intersection(sK3,X0)),sK5)
| ( empty_set = intersection(sK3,X0) ) ),
inference(resolution,[],[f169,f183]) ).
tff(f664,plain,
! [X0: set] :
( member(sK0(intersection(sF7,X0)),sF6)
| ( empty_set = intersection(sF7,X0) )
| member(sK0(intersection(sF7,X0)),sK3) ),
inference(resolution,[],[f169,f214]) ).
tff(f669,plain,
! [X0: set] :
( member(sK0(intersection(sF9,X0)),sF8)
| member(sK0(intersection(sF9,X0)),sF7)
| ( empty_set = intersection(sF9,X0) ) ),
inference(resolution,[],[f169,f216]) ).
tff(f811,plain,
! [X0: set] :
( ( $sum(cardinality(X0),cardinality(empty_set)) = cardinality(union(X0,empty_set)) )
| ( empty_set != empty_set ) ),
inference(superposition,[],[f66,f608]) ).
tff(f814,plain,
( ( $sum(1,cardinality(empty_set)) = cardinality(union(sF6,empty_set)) )
| ( empty_set != empty_set ) ),
inference(superposition,[],[f310,f608]) ).
tff(f816,plain,
( ( empty_set != empty_set )
| ( $sum(1,cardinality(empty_set)) = cardinality(union(sF8,empty_set)) ) ),
inference(superposition,[],[f311,f608]) ).
tff(f818,plain,
( ( cardinality(union(sF10,empty_set)) = $sum(1,cardinality(empty_set)) )
| ( empty_set != empty_set ) ),
inference(superposition,[],[f312,f608]) ).
tff(f820,plain,
cardinality(union(sF10,empty_set)) = $sum(1,cardinality(empty_set)),
inference(trivial_inequality_removal,[],[f818]) ).
tff(f822,plain,
$sum(1,cardinality(empty_set)) = cardinality(union(sF6,empty_set)),
inference(trivial_inequality_removal,[],[f814]) ).
tff(f823,plain,
$sum(1,cardinality(empty_set)) = cardinality(union(sF8,empty_set)),
inference(trivial_inequality_removal,[],[f816]) ).
tff(f825,plain,
! [X0: set] : ( $sum(cardinality(X0),cardinality(empty_set)) = cardinality(union(X0,empty_set)) ),
inference(trivial_inequality_removal,[],[f811]) ).
tff(f826,plain,
! [X0: set] : ( $sum(cardinality(empty_set),cardinality(X0)) = cardinality(union(X0,empty_set)) ),
inference(evaluation,[],[f825]) ).
tff(f828,plain,
cardinality(union(sF10,empty_set)) = $sum(1,0),
inference(forward_demodulation,[],[f820,f81]) ).
tff(f829,plain,
1 = cardinality(union(sF10,empty_set)),
inference(evaluation,[],[f828]) ).
tff(f832,plain,
cardinality(union(sF6,empty_set)) = $sum(1,0),
inference(forward_demodulation,[],[f822,f81]) ).
tff(f833,plain,
1 = cardinality(union(sF6,empty_set)),
inference(evaluation,[],[f832]) ).
tff(f834,plain,
cardinality(union(sF8,empty_set)) = $sum(1,0),
inference(forward_demodulation,[],[f823,f81]) ).
tff(f835,plain,
1 = cardinality(union(sF8,empty_set)),
inference(evaluation,[],[f834]) ).
tff(f836,plain,
! [X0: set] : ( $sum(0,cardinality(X0)) = cardinality(union(X0,empty_set)) ),
inference(forward_demodulation,[],[f826,f81]) ).
tff(f837,plain,
! [X0: set] : ( cardinality(X0) = cardinality(union(X0,empty_set)) ),
inference(evaluation,[],[f836]) ).
tff(f1159,definition,
( spl17_98
<=> member(sK4,sF15) ),
introduced(definition,[new_symbols(definition,[spl17_98])],[avatar_definition]) ).
tff(f1161,plain,
( member(sK4,sF15)
| ~ spl17_98 ),
inference(avatar_component_clause,[],[f1159]) ).
tff(f1167,plain,
( ( empty_set = intersection(sK3,sF6) )
| member(sK1,sK5)
| ( empty_set = intersection(sK3,sF6) ) ),
inference(superposition,[],[f659,f621]) ).
tff(f1171,plain,
( ( empty_set = intersection(sK3,sF6) )
| member(sK1,sK5) ),
inference(duplicate_literal_removal,[],[f1167]) ).
tff(f1176,definition,
( spl17_99
<=> member(sK1,sK5) ),
introduced(definition,[new_symbols(definition,[spl17_99])],[avatar_definition]) ).
tff(f1178,plain,
( member(sK1,sK5)
| ~ spl17_99 ),
inference(avatar_component_clause,[],[f1176]) ).
tff(f1179,plain,
( spl17_18
| spl17_99 ),
inference(avatar_split_clause,[],[f1171,f1176,f259]) ).
tff(f1180,plain,
( $false
| ~ spl17_99 ),
inference(resolution,[],[f1178,f71]) ).
tff(f1182,plain,
~ spl17_99,
inference(avatar_contradiction_clause,[],[f1180]) ).
tff(f1187,plain,
( ( empty_set != empty_set )
| ( $sum(cardinality(sK3),cardinality(sF6)) = cardinality(union(sK3,sF6)) )
| ~ spl17_18 ),
inference(superposition,[],[f66,f261]) ).
tff(f1188,plain,
( ( $sum(cardinality(sK3),cardinality(sF6)) = cardinality(union(sK3,sF6)) )
| ~ spl17_18 ),
inference(trivial_inequality_removal,[],[f1187]) ).
tff(f1190,plain,
( ( $sum(cardinality(sK3),cardinality(sF6)) = cardinality(sF7) )
| ~ spl17_18 ),
inference(forward_demodulation,[],[f1188,f84]) ).
tff(f1191,plain,
( ( cardinality(sF7) = $sum(sF13,cardinality(sF6)) )
| ~ spl17_18 ),
inference(forward_demodulation,[],[f1190,f95]) ).
tff(f1192,plain,
( spl17_19
| ~ spl17_18 ),
inference(avatar_split_clause,[],[f1191,f259,f263]) ).
tff(f1236,plain,
( $false
| ~ spl17_98 ),
inference(resolution,[],[f1161,f101]) ).
tff(f1239,plain,
~ spl17_98,
inference(avatar_contradiction_clause,[],[f1236]) ).
tff(f1264,definition,
( spl17_106
<=> member(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl17_106])],[avatar_definition]) ).
tff(f1266,plain,
( member(sK4,sK5)
| ~ spl17_106 ),
inference(avatar_component_clause,[],[f1264]) ).
tff(f1268,plain,
( member(sK4,sF15)
| ~ spl17_106 ),
inference(resolution,[],[f1266,f178]) ).
tff(f1269,plain,
( spl17_98
| ~ spl17_106 ),
inference(avatar_split_clause,[],[f1268,f1264,f1159]) ).
tff(f1286,definition,
( spl17_107
<=> member(sK2,sK5) ),
introduced(definition,[new_symbols(definition,[spl17_107])],[avatar_definition]) ).
tff(f1288,plain,
( member(sK2,sK5)
| ~ spl17_107 ),
inference(avatar_component_clause,[],[f1286]) ).
tff(f1335,definition,
( spl17_110
<=> member(sK2,sF15) ),
introduced(definition,[new_symbols(definition,[spl17_110])],[avatar_definition]) ).
tff(f1337,plain,
( member(sK2,sF15)
| ~ spl17_110 ),
inference(avatar_component_clause,[],[f1335]) ).
tff(f1345,plain,
( member(sK2,sF16)
| ~ spl17_110 ),
inference(resolution,[],[f1337,f181]) ).
tff(f1347,definition,
( spl17_112
<=> member(sK2,sF6) ),
introduced(definition,[new_symbols(definition,[spl17_112])],[avatar_definition]) ).
tff(f1349,plain,
( member(sK2,sF6)
| ~ spl17_112 ),
inference(avatar_component_clause,[],[f1347]) ).
tff(f1364,plain,
( $false
| ~ spl17_110 ),
inference(resolution,[],[f1345,f103]) ).
tff(f1366,plain,
~ spl17_110,
inference(avatar_contradiction_clause,[],[f1364]) ).
tff(f1386,definition,
( spl17_116
<=> member(sK2,sF7) ),
introduced(definition,[new_symbols(definition,[spl17_116])],[avatar_definition]) ).
tff(f1388,plain,
( member(sK2,sF7)
| ~ spl17_116 ),
inference(avatar_component_clause,[],[f1386]) ).
tff(f1448,plain,
( member(sK2,sF15)
| ~ spl17_112 ),
inference(resolution,[],[f1349,f173]) ).
tff(f1452,plain,
( spl17_110
| ~ spl17_112 ),
inference(avatar_split_clause,[],[f1448,f1347,f1335]) ).
tff(f1458,definition,
( spl17_121
<=> member(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl17_121])],[avatar_definition]) ).
tff(f1459,plain,
( member(sK2,sK3)
| ~ spl17_121 ),
inference(avatar_component_clause,[],[f1458]) ).
tff(f1483,definition,
( spl17_124
<=> member(sK2,sF8) ),
introduced(definition,[new_symbols(definition,[spl17_124])],[avatar_definition]) ).
tff(f1485,plain,
( member(sK2,sF8)
| ~ spl17_124 ),
inference(avatar_component_clause,[],[f1483]) ).
tff(f1495,definition,
( spl17_125
<=> member(sK2,sF16) ),
introduced(definition,[new_symbols(definition,[spl17_125])],[avatar_definition]) ).
tff(f1497,plain,
( member(sK2,sF16)
| ~ spl17_125 ),
inference(avatar_component_clause,[],[f1495]) ).
tff(f1511,plain,
( member(sK2,sF16)
| ~ spl17_124 ),
inference(resolution,[],[f1485,f176]) ).
tff(f1514,plain,
( spl17_125
| ~ spl17_124 ),
inference(avatar_split_clause,[],[f1511,f1483,f1495]) ).
tff(f1580,plain,
( member(sK2,sF6)
| member(sK2,sK3)
| ~ spl17_116 ),
inference(resolution,[],[f1388,f214]) ).
tff(f1582,plain,
( spl17_112
| spl17_121
| ~ spl17_116 ),
inference(avatar_split_clause,[],[f1580,f1386,f1458,f1347]) ).
tff(f1598,plain,
( member(sK2,sK5)
| ~ spl17_121 ),
inference(resolution,[],[f1459,f183]) ).
tff(f1599,plain,
( spl17_107
| ~ spl17_121 ),
inference(avatar_split_clause,[],[f1598,f1458,f1286]) ).
tff(f1667,plain,
( member(sK2,sF15)
| ~ spl17_107 ),
inference(resolution,[],[f1288,f178]) ).
tff(f1668,plain,
( spl17_110
| ~ spl17_107 ),
inference(avatar_split_clause,[],[f1667,f1286,f1335]) ).
tff(f2134,plain,
( $false
| ~ spl17_125 ),
inference(resolution,[],[f1497,f103]) ).
tff(f2136,plain,
~ spl17_125,
inference(avatar_contradiction_clause,[],[f2134]) ).
tff(f3376,definition,
( spl17_247
<=> member(sK4,sK3) ),
introduced(definition,[new_symbols(definition,[spl17_247])],[avatar_definition]) ).
tff(f3378,plain,
( member(sK4,sK3)
| ~ spl17_247 ),
inference(avatar_component_clause,[],[f3376]) ).
tff(f3380,definition,
( spl17_248
<=> member(sK4,sF6) ),
introduced(definition,[new_symbols(definition,[spl17_248])],[avatar_definition]) ).
tff(f3382,plain,
( member(sK4,sF6)
| ~ spl17_248 ),
inference(avatar_component_clause,[],[f3380]) ).
tff(f3594,plain,
( member(sK4,sK3)
| ( empty_set = intersection(sF7,sF8) )
| member(sK4,sF6)
| ( empty_set = intersection(sF7,sF8) ) ),
inference(superposition,[],[f664,f626]) ).
tff(f3597,plain,
( ( empty_set = intersection(sF7,sF8) )
| member(sK4,sK3)
| member(sK4,sF6) ),
inference(duplicate_literal_removal,[],[f3594]) ).
tff(f3602,plain,
( spl17_248
| spl17_12
| spl17_247 ),
inference(avatar_split_clause,[],[f3597,f3376,f229,f3380]) ).
tff(f3616,plain,
( ( cardinality(union(sF7,sF8)) = $sum(cardinality(sF7),cardinality(sF8)) )
| ( empty_set != empty_set )
| ~ spl17_12 ),
inference(superposition,[],[f66,f231]) ).
tff(f3624,plain,
( ( cardinality(union(sF7,sF8)) = $sum(cardinality(sF7),cardinality(sF8)) )
| ~ spl17_12 ),
inference(trivial_inequality_removal,[],[f3616]) ).
tff(f3625,plain,
( ( $sum($sum(sF13,cardinality(sF6)),cardinality(sF8)) = cardinality(union(sF7,sF8)) )
| ~ spl17_12
| ~ spl17_19 ),
inference(forward_demodulation,[],[f3624,f264]) ).
tff(f3626,plain,
( ( $sum(sF13,$sum(cardinality(sF8),cardinality(sF6))) = cardinality(union(sF7,sF8)) )
| ~ spl17_12
| ~ spl17_19 ),
inference(evaluation,[],[f3625]) ).
tff(f3627,plain,
( ( $sum(sF13,$sum(cardinality(sF8),cardinality(sF6))) = cardinality(sF9) )
| ~ spl17_12
| ~ spl17_19 ),
inference(forward_demodulation,[],[f3626,f87]) ).
tff(f3728,plain,
( member(sK2,sF8)
| ( empty_set = intersection(sF9,sF10) )
| member(sK2,sF7)
| ( empty_set = intersection(sF9,sF10) ) ),
inference(superposition,[],[f669,f630]) ).
tff(f3730,plain,
( member(sK2,sF8)
| ( empty_set = intersection(sF9,sF10) )
| member(sK2,sF7) ),
inference(duplicate_literal_removal,[],[f3728]) ).
tff(f3735,plain,
( spl17_116
| spl17_23
| spl17_124 ),
inference(avatar_split_clause,[],[f3730,f1483,f288,f1386]) ).
tff(f3749,plain,
( ( empty_set != empty_set )
| ( cardinality(union(sF9,sF10)) = $sum(cardinality(sF9),cardinality(sF10)) )
| ~ spl17_23 ),
inference(superposition,[],[f66,f290]) ).
tff(f3756,plain,
( ( cardinality(union(sF9,sF10)) = $sum(cardinality(sF9),cardinality(sF10)) )
| ~ spl17_23 ),
inference(trivial_inequality_removal,[],[f3749]) ).
tff(f3758,plain,
( ( cardinality(union(sF9,sF10)) = $sum($sum(sF13,$sum(cardinality(sF8),cardinality(sF6))),cardinality(sF10)) )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(forward_demodulation,[],[f3756,f3627]) ).
tff(f3759,plain,
( ( cardinality(union(sF9,sF10)) = $sum(sF13,$sum(cardinality(sF8),$sum(cardinality(sF10),cardinality(sF6)))) )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(evaluation,[],[f3758]) ).
tff(f3760,plain,
( ( $sum(sF13,$sum(cardinality(sF8),$sum(cardinality(sF10),cardinality(sF6)))) = cardinality(sF11) )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(forward_demodulation,[],[f3759,f91]) ).
tff(f3761,plain,
( ( $sum(sF13,$sum(cardinality(sF8),$sum(cardinality(sF10),cardinality(sF6)))) = sF12 )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(forward_demodulation,[],[f3760,f93]) ).
tff(f7810,plain,
1 = cardinality(sF6),
inference(superposition,[],[f837,f833]) ).
tff(f7811,plain,
1 = cardinality(sF8),
inference(superposition,[],[f837,f835]) ).
tff(f7812,plain,
1 = cardinality(sF10),
inference(superposition,[],[f837,f829]) ).
tff(f7858,plain,
( ( $sum(sF13,$sum(cardinality(sF8),$sum(1,cardinality(sF6)))) = sF12 )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(superposition,[],[f3761,f7812]) ).
tff(f7861,plain,
( ( $sum(1,$sum(sF13,$sum(cardinality(sF8),cardinality(sF6)))) = sF12 )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(evaluation,[],[f7858]) ).
tff(f7863,plain,
( ( $sum(1,$sum(sF13,$sum(cardinality(sF8),1))) = sF12 )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(forward_demodulation,[],[f7861,f7810]) ).
tff(f7864,plain,
( ( $sum(2,$sum(sF13,cardinality(sF8))) = sF12 )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(evaluation,[],[f7863]) ).
tff(f7866,plain,
( ( $sum(2,$sum(sF13,1)) = sF12 )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(forward_demodulation,[],[f7864,f7811]) ).
tff(f7867,plain,
( ( sF12 = $sum(3,sF13) )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(evaluation,[],[f7866]) ).
tff(f7978,plain,
( ( sF12 != sF12 )
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(superposition,[],[f110,f7867]) ).
tff(f7979,plain,
( $false
| ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(trivial_inequality_removal,[],[f7978]) ).
tff(f7980,plain,
( ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(avatar_contradiction_clause,[],[f7979]) ).
tff(f8013,plain,
( member(sK4,sK5)
| ~ spl17_247 ),
inference(resolution,[],[f3378,f183]) ).
tff(f8015,plain,
( spl17_106
| ~ spl17_247 ),
inference(avatar_split_clause,[],[f8013,f3376,f1264]) ).
tff(f8017,plain,
( member(sK4,sF15)
| ~ spl17_248 ),
inference(resolution,[],[f3382,f173]) ).
tff(f8022,plain,
( spl17_98
| ~ spl17_248 ),
inference(avatar_split_clause,[],[f8017,f3380,f1159]) ).
cnf(s79,plain,
( spl17_18
| spl17_99 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s80,plain,
~ spl17_99,
inference(sat_conversion,[],[f1182]) ).
cnf(s81,plain,
( ~ spl17_18
| spl17_19 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s89,plain,
~ spl17_98,
inference(sat_conversion,[],[f1239]) ).
cnf(s91,plain,
( spl17_98
| ~ spl17_106 ),
inference(sat_conversion,[],[f1269]) ).
cnf(s97,plain,
~ spl17_110,
inference(sat_conversion,[],[f1366]) ).
cnf(s107,plain,
( spl17_110
| ~ spl17_112 ),
inference(sat_conversion,[],[f1452]) ).
cnf(s113,plain,
( ~ spl17_124
| spl17_125 ),
inference(sat_conversion,[],[f1514]) ).
cnf(s123,plain,
( spl17_112
| ~ spl17_116
| spl17_121 ),
inference(sat_conversion,[],[f1582]) ).
cnf(s124,plain,
( spl17_107
| ~ spl17_121 ),
inference(sat_conversion,[],[f1599]) ).
cnf(s134,plain,
( ~ spl17_107
| spl17_110 ),
inference(sat_conversion,[],[f1668]) ).
cnf(s190,plain,
~ spl17_125,
inference(sat_conversion,[],[f2136]) ).
cnf(s225,plain,
( spl17_12
| spl17_247
| spl17_248 ),
inference(sat_conversion,[],[f3602]) ).
cnf(s231,plain,
( spl17_23
| spl17_116
| spl17_124 ),
inference(sat_conversion,[],[f3735]) ).
cnf(s522,plain,
( ~ spl17_12
| ~ spl17_19
| ~ spl17_23 ),
inference(sat_conversion,[],[f7980]) ).
cnf(s528,plain,
( spl17_106
| ~ spl17_247 ),
inference(sat_conversion,[],[f8015]) ).
cnf(s531,plain,
( spl17_98
| ~ spl17_248 ),
inference(sat_conversion,[],[f8022]) ).
cnf(s536,plain,
~ spl17_124,
inference(rat,[],[s113,s190]) ).
cnf(s542,plain,
~ spl17_107,
inference(rat,[],[s134,s97]) ).
cnf(s545,plain,
~ spl17_112,
inference(rat,[],[s107,s97]) ).
cnf(s548,plain,
~ spl17_121,
inference(rat,[],[s124,s542]) ).
cnf(s549,plain,
~ spl17_116,
inference(rat,[],[s123,s548,s545]) ).
cnf(s551,plain,
spl17_23,
inference(rat,[],[s231,s536,s549]) ).
cnf(s557,plain,
~ spl17_248,
inference(rat,[],[s531,s89]) ).
cnf(s562,plain,
~ spl17_106,
inference(rat,[],[s91,s89]) ).
cnf(s563,plain,
~ spl17_247,
inference(rat,[],[s528,s562]) ).
cnf(s568,plain,
spl17_12,
inference(rat,[],[s225,s557,s563]) ).
cnf(s571,plain,
~ spl17_19,
inference(rat,[],[s522,s551,s568]) ).
cnf(s574,plain,
~ spl17_18,
inference(rat,[],[s81,s571]) ).
cnf(s576,plain,
$false,
inference(rat,[],[s79,s80,s574]) ).
tff(f8023,plain,
$false,
inference(avatar_sat_refutation,[],[s576]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV424_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 06:26:52 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.81/1.66 % (136003)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.81/1.66 % (136109)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=539427945:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.81/1.66 % (136109)Instruction limit reached!
% 3.81/1.66 % (136109)------------------------------
% 3.81/1.66 % (136109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.66 % (136109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.66 % (136109)CaDiCaL version: 2.1.3
% 3.81/1.66 % (136109)Termination reason: Instruction limit
% 3.81/1.66 % (136109)Termination phase: Saturation
% 3.81/1.66 % (136109)Time elapsed: 0.020 s
% 3.81/1.66 % (136109)Peak memory usage: 116 MB
% 3.81/1.66 % (136109)Instructions burned: 14 (million)
% 3.81/1.66 % (136111)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1204765042:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.81/1.66 % (136110)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=237258952:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.81/1.66 % (136114)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2575233311:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.81/1.66 % (136112)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=16190977:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.81/1.66 % (136113)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3969656286:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.81/1.66 % (136115)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2468386042:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.81/1.66 % (136113)Instruction limit reached!
% 3.81/1.66 % (136113)------------------------------
% 3.81/1.66 % (136113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.66 % (136113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.66 % (136113)CaDiCaL version: 2.1.3
% 3.81/1.66 % (136113)Termination reason: Instruction limit
% 3.81/1.66 % (136113)Termination phase: Saturation
% 3.81/1.66 % (136113)Time elapsed: 0.004 s
% 3.81/1.66 % (136113)Peak memory usage: 89 MB
% 3.81/1.66 % (136113)Instructions burned: 4 (million)
% 3.81/1.66 % (136112)Instruction limit reached!
% 3.81/1.66 % (136112)------------------------------
% 3.81/1.66 % (136112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.66 % (136112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.66 % (136112)CaDiCaL version: 2.1.3
% 3.81/1.66 % (136112)Termination reason: Instruction limit
% 3.81/1.66 % (136112)Termination phase: Saturation
% 3.81/1.66 % (136112)Time elapsed: 0.005 s
% 3.81/1.66 % (136112)Peak memory usage: 89 MB
% 3.81/1.66 % (136112)Instructions burned: 7 (million)
% 3.81/1.66 % (136115)Instruction limit reached!
% 3.81/1.66 % (136115)------------------------------
% 3.81/1.66 % (136115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.66 % (136115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.66 % (136115)CaDiCaL version: 2.1.3
% 3.81/1.66 % (136115)Termination reason: Instruction limit
% 3.81/1.66 % (136115)Termination phase: Saturation
% 3.81/1.66 % (136115)Time elapsed: 0.045 s
% 3.81/1.66 % (136115)Peak memory usage: 116 MB
% 3.81/1.66 % (136115)Instructions burned: 34 (million)
% 3.81/1.66 % (136114)Instruction limit reached!
% 3.81/1.66 % (136114)------------------------------
% 3.81/1.66 % (136114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.66 % (136114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.66 % (136114)CaDiCaL version: 2.1.3
% 3.81/1.66 % (136114)Termination reason: Instruction limit
% 3.81/1.66 % (136114)Termination phase: Saturation
% 3.81/1.66 % (136114)Time elapsed: 0.061 s
% 3.81/1.66 % (136114)Peak memory usage: 115 MB
% 3.81/1.66 % (136114)Instructions burned: 46 (million)
% 3.81/1.66 % (136120)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1842798380:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.81/1.66 % (136120)Instruction limit reached!
% 3.81/1.66 % (136120)------------------------------
% 3.81/1.66 % (136120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (136120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (136120)CaDiCaL version: 2.1.3
% 6.16/1.96 % (136120)Termination reason: Instruction limit
% 6.16/1.96 % (136120)Termination phase: Saturation
% 6.16/1.96 % (136120)Time elapsed: 0.007 s
% 6.16/1.96 % (136120)Peak memory usage: 89 MB
% 6.16/1.96 % (136120)Instructions burned: 16 (million)
% 6.16/1.96 % (136111)Instruction limit reached!
% 6.16/1.96 % (136111)------------------------------
% 6.16/1.96 % (136111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (136111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (136111)CaDiCaL version: 2.1.3
% 6.16/1.96 % (136111)Termination reason: Instruction limit
% 6.16/1.96 % (136111)Termination phase: Saturation
% 6.16/1.96 % (136111)Time elapsed: 0.219 s
% 6.16/1.96 % (136111)Peak memory usage: 115 MB
% 6.16/1.96 % (136111)Instructions burned: 201 (million)
% 6.16/1.96 % (136129)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1888571405:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 6.16/1.96 % (136128)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3678939967:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 6.16/1.96 % (136129)Instruction limit reached!
% 6.16/1.96 % (136129)------------------------------
% 6.16/1.96 % (136129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (136129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (136129)CaDiCaL version: 2.1.3
% 6.16/1.96 % (136129)Termination reason: Instruction limit
% 6.16/1.96 % (136129)Termination phase: Saturation
% 6.16/1.96 % (136129)Time elapsed: 0.022 s
% 6.16/1.96 % (136129)Peak memory usage: 90 MB
% 6.16/1.96 % (136129)Instructions burned: 16 (million)
% 6.16/1.96 % (136128)Instruction limit reached!
% 6.16/1.96 % (136128)------------------------------
% 6.16/1.96 % (136128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (136128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (136128)CaDiCaL version: 2.1.3
% 6.16/1.96 % (136128)Termination reason: Instruction limit
% 6.16/1.96 % (136128)Termination phase: Saturation
% 6.16/1.96 % (136128)Time elapsed: 0.036 s
% 6.16/1.96 % (136128)Peak memory usage: 89 MB
% 6.16/1.96 % (136128)Instructions burned: 29 (million)
% 6.16/1.96 % (136150)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1205438881:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 6.16/1.96 % (136146)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2565117961:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 6.16/1.96 % (136150)Refutation not found, incomplete strategy
% 6.16/1.96 % (136150)------------------------------
% 6.16/1.96 % (136150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (136150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (136150)CaDiCaL version: 2.1.3
% 6.16/1.96 % (136150)Termination reason: Refutation not found, incomplete strategy
% 6.16/1.96 % (136150)Time elapsed: 0.005 s
% 6.16/1.96 % (136150)Peak memory usage: 90 MB
% 6.16/1.96 % (136150)Instructions burned: 3 (million)
% 6.16/1.96 % (136162)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2459514884:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 6.16/1.96 % (136110)Instruction limit reached!
% 6.16/1.96 % (136110)------------------------------
% 6.16/1.96 % (136110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (136110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.96 % (136110)CaDiCaL version: 2.1.3
% 6.16/1.96 % (136110)Termination reason: Instruction limit
% 6.16/1.96 % (136110)Termination phase: Saturation
% 6.16/1.96 % (136110)Time elapsed: 0.313 s
% 6.16/1.96 % (136110)Peak memory usage: 117 MB
% 6.16/1.96 % (136110)Instructions burned: 307 (million)
% 6.16/1.96 % (136146)Instruction limit reached!
% 6.16/1.96 % (136146)------------------------------
% 6.16/1.96 % (136146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.16/1.96 % (136146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.32 % (136146)CaDiCaL version: 2.1.3
% 9.64/2.32 % (136146)Termination reason: Instruction limit
% 9.64/2.32 % (136146)Termination phase: Saturation
% 9.64/2.32 % (136146)Time elapsed: 0.022 s
% 9.64/2.32 % (136146)Peak memory usage: 89 MB
% 9.64/2.32 % (136146)Instructions burned: 24 (million)
% 9.64/2.32 % (136162)Instruction limit reached!
% 9.64/2.32 % (136162)------------------------------
% 9.64/2.32 % (136162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.32 % (136162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.32 % (136162)CaDiCaL version: 2.1.3
% 9.64/2.32 % (136162)Termination reason: Instruction limit
% 9.64/2.32 % (136162)Termination phase: Saturation
% 9.64/2.32 % (136162)Time elapsed: 0.041 s
% 9.64/2.32 % (136162)Peak memory usage: 89 MB
% 9.64/2.32 % (136162)Instructions burned: 85 (million)
% 9.64/2.32 % (136168)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=1950586945:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 9.64/2.32 % (136168)Instruction limit reached!
% 9.64/2.32 % (136168)------------------------------
% 9.64/2.32 % (136168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.32 % (136168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.32 % (136168)CaDiCaL version: 2.1.3
% 9.64/2.32 % (136168)Termination reason: Instruction limit
% 9.64/2.32 % (136168)Termination phase: Saturation
% 9.64/2.32 % (136168)Time elapsed: 0.004 s
% 9.64/2.32 % (136168)Peak memory usage: 88 MB
% 9.64/2.32 % (136168)Instructions burned: 2 (million)
% 9.64/2.32 % (136174)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=4123661034:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 9.64/2.32 % (136183)lrs+10_1_thi=all:si=on:fd=off:random_seed=4264491318:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 9.64/2.32 % (136175)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3511684757:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 9.64/2.32 % (136175)Refutation not found, incomplete strategy
% 9.64/2.32 % (136175)------------------------------
% 9.64/2.32 % (136175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.32 % (136175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.32 % (136175)CaDiCaL version: 2.1.3
% 9.64/2.32 % (136175)Termination reason: Refutation not found, incomplete strategy
% 9.64/2.32 % (136175)Time elapsed: 0.005 s
% 9.64/2.32 % (136175)Peak memory usage: 89 MB
% 9.64/2.32 % (136175)Instructions burned: 3 (million)
% 9.64/2.32 % (136182)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=3786155861:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 9.64/2.32 % (136183)Instruction limit reached!
% 9.64/2.32 % (136183)------------------------------
% 9.64/2.32 % (136183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.32 % (136183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.32 % (136183)CaDiCaL version: 2.1.3
% 9.64/2.32 % (136183)Termination reason: Instruction limit
% 9.64/2.32 % (136183)Termination phase: Saturation
% 9.64/2.32 % (136183)Time elapsed: 0.103 s
% 9.64/2.32 % (136183)Peak memory usage: 113 MB
% 9.64/2.32 % (136183)Instructions burned: 53 (million)
% 9.64/2.32 % (136174)Instruction limit reached!
% 9.64/2.32 % (136174)------------------------------
% 9.64/2.32 % (136174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.32 % (136174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/2.32 % (136174)CaDiCaL version: 2.1.3
% 9.64/2.32 % (136174)Termination reason: Instruction limit
% 9.64/2.32 % (136174)Termination phase: Saturation
% 9.64/2.32 % (136174)Time elapsed: 0.104 s
% 9.64/2.32 % (136174)Peak memory usage: 91 MB
% 9.64/2.32 % (136174)Instructions burned: 181 (million)
% 9.64/2.32 % (136186)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=20618706:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 9.64/2.32 % (136186)Instruction limit reached!
% 9.64/2.32 % (136186)------------------------------
% 9.64/2.32 % (136186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/2.32 % (136186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.68 % (136186)CaDiCaL version: 2.1.3
% 10.73/2.68 % (136186)Termination reason: Instruction limit
% 10.73/2.68 % (136186)Termination phase: Saturation
% 10.73/2.68 % (136186)Time elapsed: 0.011 s
% 10.73/2.68 % (136186)Peak memory usage: 88 MB
% 10.73/2.68 % (136186)Instructions burned: 8 (million)
% 10.73/2.68 % (136150)------------------------------
% 10.73/2.68 % (136150)------------------------------
% 10.73/2.68 % (136182)Instruction limit reached!
% 10.73/2.68 % (136182)------------------------------
% 10.73/2.68 % (136182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.68 % (136182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.68 % (136182)CaDiCaL version: 2.1.3
% 10.73/2.68 % (136182)Termination reason: Instruction limit
% 10.73/2.68 % (136182)Termination phase: Saturation
% 10.73/2.68 % (136182)Time elapsed: 0.132 s
% 10.73/2.68 % (136182)Peak memory usage: 134 MB
% 10.73/2.68 % (136182)Instructions burned: 66 (million)
% 10.73/2.68 % (136191)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2718635721:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 10.73/2.68 % (136191)Instruction limit reached!
% 10.73/2.68 % (136191)------------------------------
% 10.73/2.68 % (136191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.68 % (136191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.68 % (136191)CaDiCaL version: 2.1.3
% 10.73/2.68 % (136191)Termination reason: Instruction limit
% 10.73/2.68 % (136191)Termination phase: Saturation
% 10.73/2.68 % (136191)Time elapsed: 0.004 s
% 10.73/2.68 % (136191)Peak memory usage: 88 MB
% 10.73/2.68 % (136191)Instructions burned: 2 (million)
% 10.73/2.68 % (136194)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1308846583:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 10.73/2.68 % (136194)Instruction limit reached!
% 10.73/2.68 % (136194)------------------------------
% 10.73/2.68 % (136194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.68 % (136194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.68 % (136194)CaDiCaL version: 2.1.3
% 10.73/2.68 % (136194)Termination reason: Instruction limit
% 10.73/2.68 % (136194)Termination phase: Saturation
% 10.73/2.68 % (136194)Time elapsed: 0.004 s
% 10.73/2.68 % (136194)Peak memory usage: 89 MB
% 10.73/2.68 % (136194)Instructions burned: 2 (million)
% 10.73/2.68 % (136195)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1890424527:i=127:doe=on:rtra=on_2992 on theBenchmark for (2992ds/127Mi)
% 10.73/2.68 % (136197)dis+10_1_si=on:random_seed=213323584:i=10:ep=R:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 10.73/2.68 % (136199)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=4068085943:i=26:canc=cautious:av=off:rtra=on_2991 on theBenchmark for (2991ds/26Mi)
% 10.73/2.68 % (136203)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3682910343:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2991 on theBenchmark for (2991ds/35Mi)
% 10.73/2.68 % (136199)Refutation not found, incomplete strategy
% 10.73/2.68 % (136199)------------------------------
% 10.73/2.68 % (136199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.68 % (136199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.68 % (136199)CaDiCaL version: 2.1.3
% 10.73/2.68 % (136199)Termination reason: Refutation not found, incomplete strategy
% 10.73/2.68 % (136199)Time elapsed: 0.003 s
% 10.73/2.68 % (136199)Peak memory usage: 89 MB
% 10.73/2.68 % (136199)Instructions burned: 2 (million)
% 10.73/2.68 % (136197)Instruction limit reached!
% 10.73/2.68 % (136197)------------------------------
% 10.73/2.68 % (136197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.68 % (136197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.68 % (136197)CaDiCaL version: 2.1.3
% 10.73/2.68 % (136197)Termination reason: Instruction limit
% 10.73/2.68 % (136197)Termination phase: Saturation
% 10.73/2.68 % (136197)Time elapsed: 0.013 s
% 10.73/2.68 % (136197)Peak memory usage: 88 MB
% 10.73/2.68 % (136197)Instructions burned: 10 (million)
% 10.73/2.68 % (136175)------------------------------
% 10.73/2.68 % (136175)------------------------------
% 10.73/2.68 % (136203)Instruction limit reached!
% 10.73/2.68 % (136203)------------------------------
% 10.73/2.68 % (136203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.58/3.13 % (136203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.58/3.13 % (136203)CaDiCaL version: 2.1.3
% 15.58/3.13 % (136203)Termination reason: Instruction limit
% 15.58/3.13 % (136203)Termination phase: Saturation
% 15.58/3.13 % (136203)Time elapsed: 0.044 s
% 15.58/3.13 % (136203)Peak memory usage: 89 MB
% 15.58/3.13 % (136203)Instructions burned: 37 (million)
% 15.58/3.13 % (136195)Instruction limit reached!
% 15.58/3.13 % (136195)------------------------------
% 15.58/3.13 % (136195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.58/3.13 % (136195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.58/3.13 % (136195)CaDiCaL version: 2.1.3
% 15.58/3.13 % (136195)Termination reason: Instruction limit
% 15.58/3.13 % (136195)Termination phase: Saturation
% 15.58/3.13 % (136195)Time elapsed: 0.164 s
% 15.58/3.13 % (136195)Peak memory usage: 117 MB
% 15.58/3.13 % (136195)Instructions burned: 127 (million)
% 15.58/3.13 % (136209)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=390597764:i=2:fsr=off:rtra=on:inst=on_2990 on theBenchmark for (2990ds/2Mi)
% 15.58/3.13 % (136209)Instruction limit reached!
% 15.58/3.13 % (136209)------------------------------
% 15.58/3.13 % (136209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.58/3.13 % (136209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.58/3.13 % (136209)CaDiCaL version: 2.1.3
% 15.58/3.13 % (136209)Termination reason: Instruction limit
% 15.58/3.13 % (136209)Termination phase: Saturation
% 15.58/3.13 % (136209)Time elapsed: 0.004 s
% 15.58/3.13 % (136209)Peak memory usage: 89 MB
% 15.58/3.13 % (136209)Instructions burned: 2 (million)
% 15.58/3.13 % (136213)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1662210119:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2990 on theBenchmark for (2990ds/8Mi)
% 15.58/3.13 % (136218)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=619756344:i=370:ep=RS:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/370Mi)
% 15.58/3.13 % (136213)Instruction limit reached!
% 15.58/3.13 % (136213)------------------------------
% 15.58/3.13 % (136213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.58/3.13 % (136213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.58/3.13 % (136213)CaDiCaL version: 2.1.3
% 15.58/3.13 % (136213)Termination reason: Instruction limit
% 15.58/3.13 % (136213)Termination phase: Saturation
% 15.58/3.13 % (136213)Time elapsed: 0.011 s
% 15.58/3.13 % (136213)Peak memory usage: 88 MB
% 15.58/3.13 % (136213)Instructions burned: 8 (million)
% 15.58/3.13 % (136199)------------------------------
% 15.58/3.13 % (136199)------------------------------
% 15.58/3.13 % (136219)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=1144492358:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2989 on theBenchmark for (2989ds/13Mi)
% 15.58/3.13 % (136220)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=464680390:i=226:rtra=on:gtg=position:ss=axioms_2989 on theBenchmark for (2989ds/226Mi)
% 15.58/3.13 % (136219)Instruction limit reached!
% 15.58/3.13 % (136219)------------------------------
% 15.58/3.13 % (136219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.58/3.13 % (136219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.58/3.13 % (136219)CaDiCaL version: 2.1.3
% 15.58/3.13 % (136219)Termination reason: Instruction limit
% 15.58/3.13 % (136219)Termination phase: Saturation
% 15.58/3.13 % (136219)Time elapsed: 0.043 s
% 15.58/3.13 % (136219)Peak memory usage: 113 MB
% 15.58/3.13 % (136219)Instructions burned: 13 (million)
% 15.58/3.13 % (136226)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1282790347:i=71:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/71Mi)
% 15.58/3.13 % (136225)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1817265359:i=10:rtra=on_2988 on theBenchmark for (2988ds/10Mi)
% 15.58/3.13 % (136232)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=152987697:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2987 on theBenchmark for (2987ds/75Mi)
% 15.58/3.13 % (136225)Instruction limit reached!
% 15.58/3.13 % (136225)------------------------------
% 15.58/3.13 % (136225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.80/3.51 % (136225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.51 % (136225)CaDiCaL version: 2.1.3
% 17.80/3.51 % (136225)Termination reason: Instruction limit
% 17.80/3.51 % (136225)Termination phase: Saturation
% 17.80/3.51 % (136225)Time elapsed: 0.013 s
% 17.80/3.51 % (136225)Peak memory usage: 88 MB
% 17.80/3.51 % (136225)Instructions burned: 10 (million)
% 17.80/3.51 % (136232)Instruction limit reached!
% 17.80/3.51 % (136232)------------------------------
% 17.80/3.51 % (136232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.80/3.51 % (136232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.51 % (136232)CaDiCaL version: 2.1.3
% 17.80/3.51 % (136232)Termination reason: Instruction limit
% 17.80/3.51 % (136232)Termination phase: Saturation
% 17.80/3.51 % (136232)Time elapsed: 0.045 s
% 17.80/3.51 % (136232)Peak memory usage: 90 MB
% 17.80/3.51 % (136232)Instructions burned: 76 (million)
% 17.80/3.51 % (136220)Instruction limit reached!
% 17.80/3.51 % (136220)------------------------------
% 17.80/3.51 % (136220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.80/3.51 % (136220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.51 % (136220)CaDiCaL version: 2.1.3
% 17.80/3.51 % (136220)Termination reason: Instruction limit
% 17.80/3.51 % (136220)Termination phase: Saturation
% 17.80/3.51 % (136220)Time elapsed: 0.152 s
% 17.80/3.51 % (136220)Peak memory usage: 118 MB
% 17.80/3.51 % (136220)Instructions burned: 226 (million)
% 17.80/3.51 % (136226)Instruction limit reached!
% 17.80/3.51 % (136226)------------------------------
% 17.80/3.51 % (136226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.80/3.51 % (136226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.51 % (136226)CaDiCaL version: 2.1.3
% 17.80/3.51 % (136226)Termination reason: Instruction limit
% 17.80/3.51 % (136226)Termination phase: Saturation
% 17.80/3.51 % (136226)Time elapsed: 0.119 s
% 17.80/3.51 % (136226)Peak memory usage: 133 MB
% 17.80/3.51 % (136226)Instructions burned: 71 (million)
% 17.80/3.51 % (136233)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2685078915:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2987 on theBenchmark for (2987ds/294Mi)
% 17.80/3.51 % (136218)Instruction limit reached!
% 17.80/3.51 % (136218)------------------------------
% 17.80/3.51 % (136218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.80/3.51 % (136218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.51 % (136218)CaDiCaL version: 2.1.3
% 17.80/3.51 % (136218)Termination reason: Instruction limit
% 17.80/3.51 % (136218)Termination phase: Saturation
% 17.80/3.51 % (136218)Time elapsed: 0.307 s
% 17.80/3.51 % (136218)Peak memory usage: 90 MB
% 17.80/3.51 % (136218)Instructions burned: 371 (million)
% 17.80/3.51 % (136238)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=3398150853:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2986 on theBenchmark for (2986ds/130Mi)
% 17.80/3.51 % (136246)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=163683092:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2985 on theBenchmark for (2985ds/40Mi)
% 17.80/3.51 % (136243)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=1085063699:i=131:rtra=on_2985 on theBenchmark for (2985ds/131Mi)
% 17.80/3.51 % (136250)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=2033787691:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/598Mi)
% 17.80/3.51 % (136247)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=1330012928:i=307:rtra=on:gtg=exists_top_2984 on theBenchmark for (2984ds/307Mi)
% 17.80/3.51 % (136246)Instruction limit reached!
% 17.80/3.51 % (136246)------------------------------
% 17.80/3.51 % (136246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.80/3.51 % (136246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.80/3.51 % (136246)CaDiCaL version: 2.1.3
% 17.80/3.51 % (136246)Termination reason: Instruction limit
% 17.80/3.51 % (136246)Termination phase: Saturation
% 17.80/3.51 % (136246)Time elapsed: 0.058 s
% 17.80/3.51 % (136246)Peak memory usage: 133 MB
% 17.80/3.51 % (136246)Instructions burned: 41 (million)
% 17.80/3.51 % (136238)Instruction limit reached!
% 17.80/3.51 % (136238)------------------------------
% 17.80/3.51 % (136238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136238)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136238)Termination reason: Instruction limit
% 17.75/3.65 % (136238)Termination phase: Saturation
% 17.75/3.65 % (136238)Time elapsed: 0.168 s
% 17.75/3.65 % (136238)Peak memory usage: 117 MB
% 17.75/3.65 % (136238)Instructions burned: 130 (million)
% 17.75/3.65 % (136233)Instruction limit reached!
% 17.75/3.65 % (136233)------------------------------
% 17.75/3.65 % (136233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136233)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136233)Termination reason: Instruction limit
% 17.75/3.65 % (136233)Termination phase: Saturation
% 17.75/3.65 % (136233)Time elapsed: 0.307 s
% 17.75/3.65 % (136233)Peak memory usage: 91 MB
% 17.75/3.65 % (136233)Instructions burned: 294 (million)
% 17.75/3.65 % (136251)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=1223149819:i=131:canc=cautious:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/131Mi)
% 17.75/3.65 % (136243)Instruction limit reached!
% 17.75/3.65 % (136243)------------------------------
% 17.75/3.65 % (136243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136243)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136243)Termination reason: Instruction limit
% 17.75/3.65 % (136243)Termination phase: Saturation
% 17.75/3.65 % (136243)Time elapsed: 0.189 s
% 17.75/3.65 % (136243)Peak memory usage: 133 MB
% 17.75/3.65 % (136243)Instructions burned: 131 (million)
% 17.75/3.65 % (136257)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=1232285592:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2982 on theBenchmark for (2982ds/259Mi)
% 17.75/3.65 % (136251)Instruction limit reached!
% 17.75/3.65 % (136251)------------------------------
% 17.75/3.65 % (136251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136251)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136251)Termination reason: Instruction limit
% 17.75/3.65 % (136251)Termination phase: Saturation
% 17.75/3.65 % (136251)Time elapsed: 0.153 s
% 17.75/3.65 % (136251)Peak memory usage: 117 MB
% 17.75/3.65 % (136251)Instructions burned: 131 (million)
% 17.75/3.65 % (136247)Instruction limit reached!
% 17.75/3.65 % (136247)------------------------------
% 17.75/3.65 % (136247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136247)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136247)Termination reason: Instruction limit
% 17.75/3.65 % (136247)Termination phase: Saturation
% 17.75/3.65 % (136247)Time elapsed: 0.285 s
% 17.75/3.65 % (136247)Peak memory usage: 94 MB
% 17.75/3.65 % (136247)Instructions burned: 307 (million)
% 17.75/3.65 % (136258)dis+10_1_si=on:random_seed=498921142:s2a=on:i=1000:rtra=on:gtg=exists_all_2981 on theBenchmark for (2981ds/1000Mi)
% 17.75/3.65 % (136259)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=2267021265:i=383:fsr=off:rtra=on:ev=force_2981 on theBenchmark for (2981ds/383Mi)
% 17.75/3.65 % (136261)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=2348258966:i=141:doe=on:rtra=on_2981 on theBenchmark for (2981ds/141Mi)
% 17.75/3.65 % (136250)Instruction limit reached!
% 17.75/3.65 % (136250)------------------------------
% 17.75/3.65 % (136250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136250)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136250)Termination reason: Instruction limit
% 17.75/3.65 % (136250)Termination phase: Saturation
% 17.75/3.65 % (136250)Time elapsed: 0.508 s
% 17.75/3.65 % (136250)Peak memory usage: 139 MB
% 17.75/3.65 % (136250)Instructions burned: 598 (million)
% 17.75/3.65 % (136261)Instruction limit reached!
% 17.75/3.65 % (136261)------------------------------
% 17.75/3.65 % (136261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136261)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136261)Termination reason: Instruction limit
% 17.75/3.65 % (136261)Termination phase: Saturation
% 17.75/3.65 % (136261)Time elapsed: 0.123 s
% 17.75/3.65 % (136261)Peak memory usage: 90 MB
% 17.75/3.65 % (136261)Instructions burned: 142 (million)
% 17.75/3.65 % (136266)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=2925642817:i=65:nm=16:rtra=on_2979 on theBenchmark for (2979ds/65Mi)
% 17.75/3.65 % (136267)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=1730401318:i=121:nm=16:rtra=on_2979 on theBenchmark for (2979ds/121Mi)
% 17.75/3.65 % (136257)Instruction limit reached!
% 17.75/3.65 % (136257)------------------------------
% 17.75/3.65 % (136257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136257)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136257)Termination reason: Instruction limit
% 17.75/3.65 % (136257)Termination phase: Saturation
% 17.75/3.65 % (136257)Time elapsed: 0.297 s
% 17.75/3.65 % (136257)Peak memory usage: 117 MB
% 17.75/3.65 % (136257)Instructions burned: 259 (million)
% 17.75/3.65 % (136266)Refutation not found, incomplete strategy
% 17.75/3.65 % (136266)------------------------------
% 17.75/3.65 % (136266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136266)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136266)Termination reason: Refutation not found, incomplete strategy
% 17.75/3.65 % (136266)Time elapsed: 0.049 s
% 17.75/3.65 % (136266)Peak memory usage: 116 MB
% 17.75/3.65 % (136266)Instructions burned: 13 (million)
% 17.75/3.65 % (136259)First to succeed.
% 17.75/3.65 % (136259)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-136003"
% 17.75/3.65 % (136267)Instruction limit reached!
% 17.75/3.65 % (136267)------------------------------
% 17.75/3.65 % (136267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136267)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136267)Termination reason: Instruction limit
% 17.75/3.65 % (136267)Termination phase: Saturation
% 17.75/3.65 % (136267)Time elapsed: 0.128 s
% 17.75/3.65 % (136267)Peak memory usage: 90 MB
% 17.75/3.65 % (136267)Instructions burned: 121 (million)
% 17.75/3.65 % (136272)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=3100551506:s2a=on:i=128:s2at=5:ins=3:rtra=on_2977 on theBenchmark for (2977ds/128Mi)
% 17.75/3.65 % (136258)Instruction limit reached!
% 17.75/3.65 % (136258)------------------------------
% 17.75/3.65 % (136258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136258)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136258)Termination reason: Instruction limit
% 17.75/3.65 % (136258)Termination phase: Saturation
% 17.75/3.65 % (136258)Time elapsed: 0.487 s
% 17.75/3.65 % (136258)Peak memory usage: 97 MB
% 17.75/3.65 % (136258)Instructions burned: 1002 (million)
% 17.75/3.65 % (136273)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=1618741622:i=39:ins=3:rtra=on_2977 on theBenchmark for (2977ds/39Mi)
% 17.75/3.65 % (136276)dis+1010_1_to=kbo:si=on:random_seed=1505050605:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2977 on theBenchmark for (2977ds/175Mi)
% 17.75/3.65 % (136273)Instruction limit reached!
% 17.75/3.65 % (136273)------------------------------
% 17.75/3.65 % (136273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136273)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136273)Termination reason: Instruction limit
% 17.75/3.65 % (136273)Termination phase: Saturation
% 17.75/3.65 % (136273)Time elapsed: 0.076 s
% 17.75/3.65 % (136273)Peak memory usage: 116 MB
% 17.75/3.65 % (136273)Instructions burned: 39 (million)
% 17.75/3.65 % (136277)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1150861028:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/329Mi)
% 17.75/3.65 % (136272)Instruction limit reached!
% 17.75/3.65 % (136272)------------------------------
% 17.75/3.65 % (136272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136272)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136272)Termination reason: Instruction limit
% 17.75/3.65 % (136272)Termination phase: Saturation
% 17.75/3.65 % (136272)Time elapsed: 0.155 s
% 17.75/3.65 % (136272)Peak memory usage: 117 MB
% 17.75/3.65 % (136272)Instructions burned: 128 (million)
% 17.75/3.65 % (136266)------------------------------
% 17.75/3.65 % (136266)------------------------------
% 17.75/3.65 % (136279)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=2139391505:s2a=on:i=483:doe=on:nm=32:rtra=on_2975 on theBenchmark for (2975ds/483Mi)
% 17.75/3.65 % (136276)Instruction limit reached!
% 17.75/3.65 % (136276)------------------------------
% 17.75/3.65 % (136276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.75/3.65 % (136276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.75/3.65 % (136276)CaDiCaL version: 2.1.3
% 17.75/3.65 % (136276)Termination reason: Instruction limit
% 17.75/3.65 % (136276)Termination phase: Saturation
% 17.75/3.65 % (136276)Time elapsed: 0.195 s
% 17.75/3.65 % (136276)Peak memory usage: 91 MB
% 17.75/3.65 % (136276)Instructions burned: 175 (million)
% 17.75/3.65 % (136259)Refutation found. Thanks to Tanya!
% 17.75/3.65 % SZS status Theorem for theBenchmark
% 17.75/3.65 % SZS output start Proof for theBenchmark
% See solution above
% 20.22/3.90 % (136259)------------------------------
% 20.22/3.90 % (136259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.22/3.90 % (136259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.90 % (136259)CaDiCaL version: 2.1.3
% 20.22/3.90 % (136259)Termination reason: Refutation
% 20.22/3.90 % (136259)Time elapsed: 0.314 s
% 20.22/3.90 % (136259)Peak memory usage: 96 MB
% 20.22/3.90 % (136259)Instructions burned: 285 (million)
% 20.22/3.90 % (136259)------------------------------
% 20.22/3.90 % (136259)------------------------------
% 20.22/3.90 % (136003)Success in time 2.774 s
% 20.22/3.90 % Vampire exiting
%------------------------------------------------------------------------------