%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU249+1 : 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 : n003.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 12:48:00 PM UTC 2026
% Result : Theorem 26.31s 4.56s
% Output : Refutation 27.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 21
% Syntax : Number of formulae : 157 ( 13 unt; 2 def)
% Number of atoms : 495 ( 69 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 577 ( 239 ~; 262 |; 52 &)
% ( 7 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-3 aty)
% Number of variables : 352 ( 0 sgn 340 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f5,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f6,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f7,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_1) ).
fof(f14,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(f19,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f20,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f30,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l29_wellord1) ).
fof(f37,axiom,
! [X0,X1] :
( relation(X1)
=> relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t119_relat_1) ).
fof(f38,axiom,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_wellord1) ).
fof(f39,axiom,
! [X0,X1] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_wellord1) ).
fof(f40,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,relation_field(X2))
& in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f41,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,relation_field(X2))
& in(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f45,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f46,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f47,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f48,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f52,axiom,
! [X0,X1] :
( relation(X1)
=> relation_dom(relation_dom_restriction(X1,X0)) = set_intersection2(relation_dom(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t90_relat_1) ).
fof(f53,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_relat_1) ).
fof(f57,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f46]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ( ~ in(X0,relation_field(X2))
| ~ in(X0,X1) )
& in(X0,relation_field(relation_restriction(X2,X1)))
& relation(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ( ~ in(X0,relation_field(X2))
| ~ in(X0,X1) )
& in(X0,relation_field(relation_restriction(X2,X1)))
& relation(X2) ),
inference(flattening,[],[f60]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f48]) ).
fof(f64,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f47]) ).
fof(f65,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f67,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f66]) ).
fof(f70,plain,
! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f71,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f72,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f73,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f82,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f83,plain,
! [X0,X1] :
( relation_dom(relation_dom_restriction(X1,X0)) = set_intersection2(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f84,plain,
! [X0,X1] :
( relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f85,plain,
! [X0,X1] :
( subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f86,plain,
! [X0,X1] :
( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f89,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f92,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f93,plain,
( ( ~ in(sK0,relation_field(sK2))
| ~ in(sK0,sK1) )
& in(sK0,relation_field(relation_restriction(sK2,sK1)))
& relation(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f61]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK3(X0,X1,X2),X0)
| ~ in(sK3(X0,X1,X2),X1)
| ~ in(sK3(X0,X1,X2),X2) )
& ( ( in(sK3(X0,X1,X2),X0)
& in(sK3(X0,X1,X2),X1) )
| in(sK3(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f96]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ( ( ( ~ in(sK4(X0,X1,X2),X0)
& ~ in(sK4(X0,X1,X2),X1) )
| ~ in(sK4(X0,X1,X2),X2) )
& ( in(sK4(X0,X1,X2),X0)
| in(sK4(X0,X1,X2),X1)
| in(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f100]) ).
fof(f108,plain,
relation(sK2),
inference(cnf_transformation,[],[f93]) ).
fof(f109,plain,
in(sK0,relation_field(relation_restriction(sK2,sK1))),
inference(cnf_transformation,[],[f93]) ).
fof(f110,plain,
( ~ in(sK0,relation_field(sK2))
| ~ in(sK0,sK1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| ~ empty(X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f114,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f116,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f97]) ).
fof(f117,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f97]) ).
fof(f122,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f123,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f124,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f125,plain,
! [X2,X0,X1] :
( in(sK4(X0,X1,X2),X2)
| in(sK4(X0,X1,X2),X0)
| in(sK4(X0,X1,X2),X1)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ in(sK4(X0,X1,X2),X2)
| ~ in(sK4(X0,X1,X2),X1)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ in(sK4(X0,X1,X2),X2)
| ~ in(sK4(X0,X1,X2),X0)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f129,plain,
! [X0] :
( relation_field(X0) = set_union2(relation_dom(X0),relation_rng(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f130,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_rng_restriction(X0,relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f131,plain,
! [X0,X1] :
( relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f132,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f147,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f149,plain,
! [X0,X1] :
( relation_dom(relation_dom_restriction(X1,X0)) = set_intersection2(relation_dom(X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f152,plain,
! [X0,X1] :
( relation_rng(relation_rng_restriction(X0,X1)) = set_intersection2(relation_rng(X1),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f155,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f156,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
! [X0,X1] :
( subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f158,plain,
! [X0,X1] :
( subset(relation_rng(relation_dom_restriction(X1,X0)),relation_rng(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f161,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f164,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f171,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f117]) ).
fof(f172,plain,
! [X0,X1,X4] :
( ~ in(X4,set_intersection2(X0,X1))
| in(X4,X1) ),
inference(equality_resolution,[],[f116]) ).
fof(f173,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f124]) ).
fof(f174,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f123]) ).
fof(f175,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X1)
| in(X4,X0) ),
inference(equality_resolution,[],[f122]) ).
fof(f177,definition,
( spl11_1
<=> in(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f179,plain,
( ~ in(sK0,sK1)
| spl11_1 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f181,definition,
( spl11_2
<=> in(sK0,relation_field(sK2)) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f183,plain,
( ~ in(sK0,relation_field(sK2))
| spl11_2 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f184,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f110,f181,f177]) ).
fof(f189,plain,
! [X0,X1] :
( in(X1,relation_rng(X0))
| ~ in(X1,relation_field(X0))
| in(X1,relation_dom(X0))
| ~ relation(X0) ),
inference(superposition,[],[f175,f129]) ).
fof(f190,plain,
! [X0,X1] :
( in(X1,relation_field(X0))
| ~ in(X1,relation_rng(X0))
| ~ relation(X0) ),
inference(superposition,[],[f174,f129]) ).
fof(f191,plain,
! [X0,X1] :
( in(X1,relation_field(X0))
| ~ in(X1,relation_dom(X0))
| ~ relation(X0) ),
inference(superposition,[],[f173,f129]) ).
fof(f202,plain,
! [X0,X1] :
( subset(relation_rng(relation_restriction(X0,X1)),relation_rng(relation_rng_restriction(X1,X0)))
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(superposition,[],[f158,f131]) ).
fof(f203,plain,
! [X0,X1] :
( subset(relation_rng(relation_restriction(X0,X1)),relation_rng(relation_rng_restriction(X1,X0)))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f202,f164]) ).
fof(f204,plain,
! [X0,X1] :
( relation_rng(relation_restriction(X0,X1)) = set_intersection2(relation_rng(relation_dom_restriction(X0,X1)),X1)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(superposition,[],[f152,f130]) ).
fof(f209,plain,
! [X0,X1] :
( relation_rng(relation_restriction(X0,X1)) = set_intersection2(relation_rng(relation_dom_restriction(X0,X1)),X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f204,f161]) ).
fof(f211,plain,
! [X0,X1] :
( relation_rng(relation_restriction(X0,X1)) = set_intersection2(X1,relation_rng(relation_dom_restriction(X0,X1)))
| ~ relation(X0) ),
inference(forward_demodulation,[],[f209,f155]) ).
fof(f220,plain,
! [X0,X1] :
( set_intersection2(relation_dom(relation_rng_restriction(X1,X0)),X1) = relation_dom(relation_restriction(X0,X1))
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(superposition,[],[f149,f131]) ).
fof(f223,plain,
! [X0,X1] :
( set_intersection2(relation_dom(relation_rng_restriction(X1,X0)),X1) = relation_dom(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f220,f164]) ).
fof(f224,plain,
! [X0,X1] :
( relation_dom(relation_restriction(X0,X1)) = set_intersection2(X1,relation_dom(relation_rng_restriction(X1,X0)))
| ~ relation(X0) ),
inference(forward_demodulation,[],[f223,f155]) ).
fof(f225,plain,
! [X0,X1] :
( subset(relation_dom(relation_restriction(X0,X1)),relation_dom(relation_dom_restriction(X0,X1)))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(superposition,[],[f157,f130]) ).
fof(f228,plain,
! [X0,X1] :
( subset(relation_dom(relation_restriction(X0,X1)),relation_dom(relation_dom_restriction(X0,X1)))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f225,f161]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_rng(relation_restriction(X0,X1)))
| in(X2,X1)
| ~ relation(X0) ),
inference(superposition,[],[f171,f211]) ).
fof(f244,plain,
! [X2,X0,X1] :
( in(X0,X1)
| ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,relation_dom(relation_restriction(X2,X1)))
| ~ relation(relation_restriction(X2,X1)) ),
inference(resolution,[],[f240,f189]) ).
fof(f245,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(relation_restriction(X2,X1)))
| ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,X1) ),
inference(forward_subsumption_resolution,[],[f244,f132]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_dom(relation_restriction(X0,X1)))
| in(X2,X1)
| ~ relation(X0) ),
inference(superposition,[],[f171,f224]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ in(X1,relation_field(relation_restriction(X0,X2)))
| in(X1,X2)
| in(X1,X2)
| ~ relation(X0) ),
inference(resolution,[],[f245,f261]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_field(relation_restriction(X0,X2)))
| ~ relation(X0)
| in(X1,X2) ),
inference(duplicate_literal_removal,[],[f301]) ).
fof(f307,plain,
( ~ relation(sK2)
| in(sK0,sK1) ),
inference(resolution,[],[f304,f109]) ).
fof(f311,plain,
in(sK0,sK1),
inference(forward_subsumption_resolution,[],[f307,f108]) ).
fof(f312,plain,
( $false
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f311,f179]) ).
fof(f313,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f312]) ).
fof(f355,plain,
! [X0,X1] :
( subset(relation_dom(relation_restriction(X0,X1)),set_intersection2(relation_dom(X0),X1))
| ~ relation(X0)
| ~ relation(X0) ),
inference(superposition,[],[f228,f149]) ).
fof(f356,plain,
! [X0,X1] :
( subset(relation_dom(relation_restriction(X0,X1)),set_intersection2(relation_dom(X0),X1))
| ~ relation(X0) ),
inference(duplicate_literal_removal,[],[f355]) ).
fof(f433,plain,
! [X0,X1] :
( subset(relation_rng(relation_restriction(X0,X1)),set_intersection2(relation_rng(X0),X1))
| ~ relation(X0)
| ~ relation(X0) ),
inference(superposition,[],[f203,f152]) ).
fof(f434,plain,
! [X0,X1] :
( subset(relation_rng(relation_restriction(X0,X1)),set_intersection2(relation_rng(X0),X1))
| ~ relation(X0) ),
inference(duplicate_literal_removal,[],[f433]) ).
fof(f461,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X2,X0)
| ~ empty(X1) ),
inference(resolution,[],[f147,f112]) ).
fof(f462,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X2,X0)
| element(X2,X1) ),
inference(resolution,[],[f147,f113]) ).
fof(f466,plain,
! [X2,X0,X1] :
( element(X0,set_intersection2(relation_rng(X1),X2))
| ~ in(X0,relation_rng(relation_restriction(X1,X2)))
| ~ relation(X1) ),
inference(resolution,[],[f462,f434]) ).
fof(f473,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(relation_restriction(X1,X2)))
| ~ empty(set_intersection2(relation_rng(X1),X2))
| ~ relation(X1) ),
inference(resolution,[],[f461,f434]) ).
fof(f503,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| ~ in(X1,relation_dom(relation_restriction(X0,X2)))
| ~ empty(set_intersection2(relation_dom(X0),X2)) ),
inference(resolution,[],[f356,f461]) ).
fof(f504,plain,
! [X2,X0,X1] :
( element(X1,set_intersection2(relation_dom(X0),X2))
| ~ in(X1,relation_dom(relation_restriction(X0,X2)))
| ~ relation(X0) ),
inference(resolution,[],[f356,f462]) ).
fof(f530,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,set_intersection2(relation_dom(X1),X2))
| empty(set_intersection2(relation_dom(X1),X2)) ),
inference(resolution,[],[f504,f114]) ).
fof(f539,plain,
! [X2,X0,X1] :
( in(X0,set_intersection2(relation_dom(X1),X2))
| ~ relation(X1)
| ~ in(X0,relation_dom(relation_restriction(X1,X2))) ),
inference(forward_subsumption_resolution,[],[f530,f503]) ).
fof(f548,plain,
! [X2,X0,X1] :
( in(X2,set_intersection2(X0,relation_dom(X1)))
| ~ relation(X1)
| ~ in(X2,relation_dom(relation_restriction(X1,X0))) ),
inference(superposition,[],[f539,f155]) ).
fof(f908,plain,
! [X0,X1] :
( ~ in(sK4(X0,X1,X1),X1)
| set_union2(X0,X1) = X1 ),
inference(factoring,[],[f126]) ).
fof(f1143,plain,
! [X2,X0,X1] :
( ~ in(sK4(X0,X1,relation_field(X2)),relation_dom(X2))
| set_union2(X0,X1) = relation_field(X2)
| ~ in(sK4(X0,X1,relation_field(X2)),X0)
| ~ relation(X2) ),
inference(resolution,[],[f127,f191]) ).
fof(f1144,plain,
! [X2,X0,X1] :
( ~ in(sK4(X0,X1,relation_field(X2)),relation_rng(X2))
| set_union2(X0,X1) = relation_field(X2)
| ~ in(sK4(X0,X1,relation_field(X2)),X0)
| ~ relation(X2) ),
inference(resolution,[],[f127,f190]) ).
fof(f1981,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(relation_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,set_intersection2(relation_rng(X1),X2))
| empty(set_intersection2(relation_rng(X1),X2)) ),
inference(resolution,[],[f466,f114]) ).
fof(f1996,plain,
! [X2,X0,X1] :
( in(X0,set_intersection2(relation_rng(X1),X2))
| ~ relation(X1)
| ~ in(X0,relation_rng(relation_restriction(X1,X2))) ),
inference(forward_subsumption_resolution,[],[f1981,f473]) ).
fof(f2022,plain,
! [X2,X0,X1] :
( in(X2,set_intersection2(X0,relation_rng(X1)))
| ~ relation(X1)
| ~ in(X2,relation_rng(relation_restriction(X1,X0))) ),
inference(superposition,[],[f1996,f155]) ).
fof(f2490,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| in(sK4(X0,X1,X1),X0)
| in(sK4(X0,X1,X1),X1)
| set_union2(X0,X1) = X1 ),
inference(resolution,[],[f908,f125]) ).
fof(f2520,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| in(sK4(X0,X1,X1),X0)
| in(sK4(X0,X1,X1),X1) ),
inference(duplicate_literal_removal,[],[f2490]) ).
fof(f2521,plain,
! [X0,X1] :
( in(sK4(X0,X1,X1),X0)
| set_union2(X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f2520,f908]) ).
fof(f2548,plain,
! [X2,X0,X1] :
( in(sK4(set_intersection2(X0,X1),X2,X2),X1)
| set_union2(set_intersection2(X0,X1),X2) = X2 ),
inference(resolution,[],[f2521,f172]) ).
fof(f2592,plain,
! [X0,X1] :
( relation_field(X1) = set_union2(set_intersection2(X0,relation_dom(X1)),relation_field(X1))
| relation_field(X1) = set_union2(set_intersection2(X0,relation_dom(X1)),relation_field(X1))
| ~ in(sK4(set_intersection2(X0,relation_dom(X1)),relation_field(X1),relation_field(X1)),set_intersection2(X0,relation_dom(X1)))
| ~ relation(X1) ),
inference(resolution,[],[f2548,f1143]) ).
fof(f2596,plain,
! [X0,X1] :
( relation_field(X1) = set_union2(set_intersection2(X0,relation_rng(X1)),relation_field(X1))
| relation_field(X1) = set_union2(set_intersection2(X0,relation_rng(X1)),relation_field(X1))
| ~ in(sK4(set_intersection2(X0,relation_rng(X1)),relation_field(X1),relation_field(X1)),set_intersection2(X0,relation_rng(X1)))
| ~ relation(X1) ),
inference(resolution,[],[f2548,f1144]) ).
fof(f2643,plain,
! [X0,X1] :
( relation_field(X1) = set_union2(set_intersection2(X0,relation_rng(X1)),relation_field(X1))
| ~ in(sK4(set_intersection2(X0,relation_rng(X1)),relation_field(X1),relation_field(X1)),set_intersection2(X0,relation_rng(X1)))
| ~ relation(X1) ),
inference(duplicate_literal_removal,[],[f2596]) ).
fof(f2647,plain,
! [X0,X1] :
( relation_field(X1) = set_union2(set_intersection2(X0,relation_dom(X1)),relation_field(X1))
| ~ in(sK4(set_intersection2(X0,relation_dom(X1)),relation_field(X1),relation_field(X1)),set_intersection2(X0,relation_dom(X1)))
| ~ relation(X1) ),
inference(duplicate_literal_removal,[],[f2592]) ).
fof(f2659,plain,
! [X0,X1] :
( relation_field(X1) = set_union2(set_intersection2(X0,relation_rng(X1)),relation_field(X1))
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f2643,f2521]) ).
fof(f2661,plain,
! [X0,X1] :
( relation_field(X1) = set_union2(set_intersection2(X0,relation_dom(X1)),relation_field(X1))
| ~ relation(X1) ),
inference(forward_subsumption_resolution,[],[f2647,f2521]) ).
fof(f2668,plain,
! [X0,X1] :
( relation_field(X1) = set_union2(relation_field(X1),set_intersection2(X0,relation_rng(X1)))
| ~ relation(X1) ),
inference(forward_demodulation,[],[f2659,f156]) ).
fof(f2670,plain,
! [X0,X1] :
( relation_field(X1) = set_union2(relation_field(X1),set_intersection2(X0,relation_dom(X1)))
| ~ relation(X1) ),
inference(forward_demodulation,[],[f2661,f156]) ).
fof(f2738,plain,
! [X2,X0,X1] :
( ~ in(X1,set_intersection2(X2,relation_dom(X0)))
| in(X1,relation_field(X0))
| ~ relation(X0) ),
inference(superposition,[],[f174,f2670]) ).
fof(f2756,plain,
! [X2,X0,X1] :
( in(X0,relation_field(X1))
| ~ relation(X1)
| ~ relation(X1)
| ~ in(X0,relation_dom(relation_restriction(X1,X2))) ),
inference(resolution,[],[f2738,f548]) ).
fof(f2787,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,relation_field(X1)) ),
inference(duplicate_literal_removal,[],[f2756]) ).
fof(f2959,plain,
! [X2,X0,X1] :
( ~ in(X1,set_intersection2(X2,relation_rng(X0)))
| in(X1,relation_field(X0))
| ~ relation(X0) ),
inference(superposition,[],[f174,f2668]) ).
fof(f2977,plain,
! [X2,X0,X1] :
( in(X0,relation_field(X1))
| ~ relation(X1)
| ~ relation(X1)
| ~ in(X0,relation_rng(relation_restriction(X1,X2))) ),
inference(resolution,[],[f2959,f2022]) ).
fof(f3007,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_rng(relation_restriction(X1,X2)))
| ~ relation(X1)
| in(X0,relation_field(X1)) ),
inference(duplicate_literal_removal,[],[f2977]) ).
fof(f3230,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(X1,relation_field(X0))
| ~ in(X1,relation_field(relation_restriction(X0,X2)))
| in(X1,relation_dom(relation_restriction(X0,X2)))
| ~ relation(relation_restriction(X0,X2)) ),
inference(resolution,[],[f3007,f189]) ).
fof(f3256,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(X1,relation_field(X0))
| ~ in(X1,relation_field(relation_restriction(X0,X2)))
| ~ relation(relation_restriction(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f3230,f2787]) ).
fof(f3257,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_field(relation_restriction(X0,X2)))
| in(X1,relation_field(X0))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f3256,f132]) ).
fof(f3265,plain,
( in(sK0,relation_field(sK2))
| ~ relation(sK2) ),
inference(resolution,[],[f3257,f109]) ).
fof(f3286,plain,
( ~ relation(sK2)
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f3265,f183]) ).
fof(f3287,plain,
( $false
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f3286,f108]) ).
fof(f3288,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f3287]) ).
cnf(s1,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(sat_conversion,[],[f184]) ).
cnf(s2,plain,
spl11_1,
inference(sat_conversion,[],[f313]) ).
cnf(s10,plain,
spl11_2,
inference(sat_conversion,[],[f3288]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s10,s2]) ).
fof(f3289,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU249+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n003.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 04:20:42 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.45 Running first-order theorem proving
% 0.11/0.45 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
% 17.20/3.29 % (1182867)Detected formulas, will run a generic FOF schedule.
% 17.20/3.29 % (1182882)dis-21_1_sil=8000:lcm=predicate:random_seed=273273625: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)
% 17.20/3.29 % (1182882)Instruction limit reached!
% 17.20/3.29 % (1182882)------------------------------
% 17.20/3.29 % (1182882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/3.29 % (1182882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/3.29 % (1182882)CaDiCaL version: 2.1.3
% 17.20/3.29 % (1182882)Termination reason: Instruction limit
% 17.20/3.29 % (1182882)Termination phase: Saturation
% 17.20/3.29 % (1182882)Time elapsed: 0.067 s
% 17.20/3.29 % (1182882)Peak memory usage: 89 MB
% 17.20/3.29 % (1182882)Instructions burned: 129 (million)
% 17.20/3.29 % (1182877)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=3170384938:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 17.20/3.29 % (1182876)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=2963255141:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 17.20/3.29 % (1182880)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2309619402:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 17.20/3.29 % (1182879)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2754147305:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 17.20/3.29 % (1182878)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=729268495:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 17.20/3.29 % (1182879)Refutation not found, incomplete strategy
% 17.20/3.29 % (1182879)------------------------------
% 17.20/3.29 % (1182879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/3.29 % (1182879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/3.29 % (1182879)CaDiCaL version: 2.1.3
% 17.20/3.29 % (1182879)Termination reason: Refutation not found, incomplete strategy
% 17.20/3.29 % (1182879)Time elapsed: 0.004 s
% 17.20/3.29 % (1182879)Peak memory usage: 88 MB
% 17.20/3.29 % (1182879)Instructions burned: 2 (million)
% 17.20/3.29 % (1182881)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4104923719:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 17.20/3.29 % (1182880)Instruction limit reached!
% 17.20/3.29 % (1182880)------------------------------
% 17.20/3.29 % (1182880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/3.29 % (1182880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/3.29 % (1182880)CaDiCaL version: 2.1.3
% 17.20/3.29 % (1182880)Termination reason: Instruction limit
% 17.20/3.29 % (1182880)Termination phase: Saturation
% 17.20/3.29 % (1182880)Time elapsed: 0.117 s
% 17.20/3.29 % (1182880)Peak memory usage: 88 MB
% 17.20/3.29 % (1182880)Instructions burned: 120 (million)
% 17.20/3.29 % (1182888)lrs+10_1_sil=8000:sp=occurrence:random_seed=1506879862:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 17.20/3.29 % (1182881)Instruction limit reached!
% 17.20/3.29 % (1182881)------------------------------
% 17.20/3.29 % (1182881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/3.29 % (1182881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/3.29 % (1182881)CaDiCaL version: 2.1.3
% 17.20/3.29 % (1182881)Termination reason: Instruction limit
% 17.20/3.29 % (1182881)Termination phase: Saturation
% 17.20/3.29 % (1182881)Time elapsed: 0.154 s
% 17.20/3.29 % (1182881)Peak memory usage: 90 MB
% 17.20/3.29 % (1182881)Instructions burned: 140 (million)
% 17.20/3.29 % (1182888)Instruction limit reached!
% 17.20/3.29 % (1182888)------------------------------
% 17.20/3.29 % (1182888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/3.29 % (1182888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/3.29 % (1182888)CaDiCaL version: 2.1.3
% 17.20/3.29 % (1182888)Termination reason: Instruction limit
% 17.20/3.29 % (1182888)Termination phase: Saturation
% 17.20/3.29 % (1182888)Time elapsed: 0.145 s
% 17.20/3.29 % (1182888)Peak memory usage: 92 MB
% 17.20/3.29 % (1182888)Instructions burned: 286 (million)
% 26.31/4.56 % (1182895)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1680744266:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 26.31/4.56 % (1182879)------------------------------
% 26.31/4.56 % (1182879)------------------------------
% 26.31/4.56 % (1182897)lrs+1011_1_sil=32000:sp=occurrence:random_seed=722016977:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 26.31/4.56 % (1182898)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=3348828398:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 26.31/4.56 % (1182895)Instruction limit reached!
% 26.31/4.56 % (1182895)------------------------------
% 26.31/4.56 % (1182895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182895)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182895)Termination reason: Instruction limit
% 26.31/4.56 % (1182895)Termination phase: Saturation
% 26.31/4.56 % (1182895)Time elapsed: 0.139 s
% 26.31/4.56 % (1182895)Peak memory usage: 89 MB
% 26.31/4.56 % (1182895)Instructions burned: 157 (million)
% 26.31/4.56 % (1182898)Instruction limit reached!
% 26.31/4.56 % (1182898)------------------------------
% 26.31/4.56 % (1182898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182898)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182898)Termination reason: Instruction limit
% 26.31/4.56 % (1182898)Termination phase: Saturation
% 26.31/4.56 % (1182898)Time elapsed: 0.121 s
% 26.31/4.56 % (1182898)Peak memory usage: 92 MB
% 26.31/4.56 % (1182898)Instructions burned: 250 (million)
% 26.31/4.56 % (1182901)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1381527304:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 26.31/4.56 % (1182901)Refutation not found, incomplete strategy
% 26.31/4.56 % (1182901)------------------------------
% 26.31/4.56 % (1182901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182901)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182901)Termination reason: Refutation not found, incomplete strategy
% 26.31/4.56 % (1182901)Time elapsed: 0.017 s
% 26.31/4.56 % (1182901)Peak memory usage: 89 MB
% 26.31/4.56 % (1182901)Instructions burned: 15 (million)
% 26.31/4.56 % (1182903)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3960016708:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 26.31/4.56 % (1182897)Instruction limit reached!
% 26.31/4.56 % (1182897)------------------------------
% 26.31/4.56 % (1182897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182897)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182897)Termination reason: Instruction limit
% 26.31/4.56 % (1182897)Termination phase: Saturation
% 26.31/4.56 % (1182897)Time elapsed: 0.331 s
% 26.31/4.56 % (1182897)Peak memory usage: 92 MB
% 26.31/4.56 % (1182897)Instructions burned: 325 (million)
% 26.31/4.56 % (1182904)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1251833575:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 26.31/4.56 % (1182904)Instruction limit reached!
% 26.31/4.56 % (1182904)------------------------------
% 26.31/4.56 % (1182904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182904)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182904)Termination reason: Instruction limit
% 26.31/4.56 % (1182904)Termination phase: Saturation
% 26.31/4.56 % (1182904)Time elapsed: 0.071 s
% 26.31/4.56 % (1182904)Peak memory usage: 89 MB
% 26.31/4.56 % (1182904)Instructions burned: 115 (million)
% 26.31/4.56 % (1182910)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4152161342:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 26.31/4.56 % (1182911)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2896254783:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 26.31/4.56 % (1182901)------------------------------
% 26.31/4.56 % (1182901)------------------------------
% 26.31/4.56 % (1182910)Instruction limit reached!
% 26.31/4.56 % (1182910)------------------------------
% 26.31/4.56 % (1182910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182910)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182910)Termination reason: Instruction limit
% 26.31/4.56 % (1182910)Termination phase: Saturation
% 26.31/4.56 % (1182910)Time elapsed: 0.110 s
% 26.31/4.56 % (1182910)Peak memory usage: 88 MB
% 26.31/4.56 % (1182910)Instructions burned: 128 (million)
% 26.31/4.56 % (1182911)Instruction limit reached!
% 26.31/4.56 % (1182911)------------------------------
% 26.31/4.56 % (1182911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182911)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182911)Termination reason: Instruction limit
% 26.31/4.56 % (1182911)Termination phase: Saturation
% 26.31/4.56 % (1182911)Time elapsed: 0.108 s
% 26.31/4.56 % (1182911)Peak memory usage: 89 MB
% 26.31/4.56 % (1182911)Instructions burned: 115 (million)
% 26.31/4.56 % (1182914)lrs+10_1_sil=8000:sp=occurrence:random_seed=4272915069:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 26.31/4.56 % (1182915)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3577141065:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 26.31/4.56 % (1182915)Refutation not found, incomplete strategy
% 26.31/4.56 % (1182915)------------------------------
% 26.31/4.56 % (1182915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182915)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182915)Termination reason: Refutation not found, incomplete strategy
% 26.31/4.56 % (1182915)Time elapsed: 0.005 s
% 26.31/4.56 % (1182915)Peak memory usage: 89 MB
% 26.31/4.56 % (1182915)Instructions burned: 3 (million)
% 26.31/4.56 % (1182916)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1019921480:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 26.31/4.56 % (1182915)------------------------------
% 26.31/4.56 % (1182915)------------------------------
% 26.31/4.56 % (1182920)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=793646378:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 26.31/4.56 % (1182920)Instruction limit reached!
% 26.31/4.56 % (1182920)------------------------------
% 26.31/4.56 % (1182920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182920)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182920)Termination reason: Instruction limit
% 26.31/4.56 % (1182920)Termination phase: Saturation
% 26.31/4.56 % (1182920)Time elapsed: 0.127 s
% 26.31/4.56 % (1182920)Peak memory usage: 91 MB
% 26.31/4.56 % (1182920)Instructions burned: 134 (million)
% 26.31/4.56 % (1182914)Instruction limit reached!
% 26.31/4.56 % (1182914)------------------------------
% 26.31/4.56 % (1182914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182914)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182914)Termination reason: Instruction limit
% 26.31/4.56 % (1182914)Termination phase: Saturation
% 26.31/4.56 % (1182914)Time elapsed: 0.824 s
% 26.31/4.56 % (1182914)Peak memory usage: 97 MB
% 26.31/4.56 % (1182914)Instructions burned: 907 (million)
% 26.31/4.56 % (1182923)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=471793581:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 26.31/4.56 % (1182923)Refutation not found, incomplete strategy
% 26.31/4.56 % (1182923)------------------------------
% 26.31/4.56 % (1182923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182923)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182923)Termination reason: Refutation not found, incomplete strategy
% 26.31/4.56 % (1182923)Time elapsed: 0.004 s
% 26.31/4.56 % (1182923)Peak memory usage: 88 MB
% 26.31/4.56 % (1182923)Instructions burned: 2 (million)
% 26.31/4.56 % (1182925)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1153402599:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 26.31/4.56 % (1182923)------------------------------
% 26.31/4.56 % (1182923)------------------------------
% 26.31/4.56 % (1182930)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=1515135988:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 26.31/4.56 % (1182930)Instruction limit reached!
% 26.31/4.56 % (1182930)------------------------------
% 26.31/4.56 % (1182930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182930)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182930)Termination reason: Instruction limit
% 26.31/4.56 % (1182930)Termination phase: Saturation
% 26.31/4.56 % (1182930)Time elapsed: 0.139 s
% 26.31/4.56 % (1182930)Peak memory usage: 91 MB
% 26.31/4.56 % (1182930)Instructions burned: 125 (million)
% 26.31/4.56 % (1182916)First to succeed.
% 26.31/4.56 % (1182916)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1182867"
% 26.31/4.56 % (1182903)Instruction limit reached!
% 26.31/4.56 % (1182903)------------------------------
% 26.31/4.56 % (1182903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182903)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182903)Termination reason: Instruction limit
% 26.31/4.56 % (1182903)Termination phase: Saturation
% 26.31/4.56 % (1182903)Time elapsed: 2.507 s
% 26.31/4.56 % (1182903)Peak memory usage: 143 MB
% 26.31/4.56 % (1182903)Instructions burned: 2350 (million)
% 26.31/4.56 % (1182932)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=961478267:i=134:gtgl=5:slsql=off:gtg=exists_sym_2967 on theBenchmark for (2967ds/134Mi)
% 26.31/4.56 % (1182932)Instruction limit reached!
% 26.31/4.56 % (1182932)------------------------------
% 26.31/4.56 % (1182932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182932)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182932)Termination reason: Instruction limit
% 26.31/4.56 % (1182932)Termination phase: Saturation
% 26.31/4.56 % (1182932)Time elapsed: 0.149 s
% 26.31/4.56 % (1182932)Peak memory usage: 90 MB
% 26.31/4.56 % (1182932)Instructions burned: 134 (million)
% 26.31/4.56 % (1182935)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=295390281:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 26.31/4.56 % (1182935)Refutation not found, incomplete strategy
% 26.31/4.56 % (1182935)------------------------------
% 26.31/4.56 % (1182935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.31/4.56 % (1182935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.31/4.56 % (1182935)CaDiCaL version: 2.1.3
% 26.31/4.56 % (1182935)Termination reason: Refutation not found, incomplete strategy
% 26.31/4.56 % (1182935)Time elapsed: 0.002 s
% 26.31/4.56 % (1182935)Peak memory usage: 88 MB
% 26.31/4.56 % (1182916)Refutation found. Thanks to Tanya!
% 26.31/4.56 % SZS status Theorem for theBenchmark
% 26.31/4.56 % SZS output start Proof for theBenchmark
% See solution above
% 27.40/4.80 % (1182916)------------------------------
% 27.40/4.80 % (1182916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.40/4.80 % (1182916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.40/4.80 % (1182916)CaDiCaL version: 2.1.3
% 27.40/4.80 % (1182916)Termination reason: Refutation
% 27.40/4.80 % (1182916)Time elapsed: 1.774 s
% 27.40/4.80 % (1182916)Peak memory usage: 136 MB
% 27.40/4.80 % (1182916)Instructions burned: 1714 (million)
% 27.40/4.80 % (1182916)------------------------------
% 27.40/4.80 % (1182916)------------------------------
% 27.40/4.80 % (1182867)Success in time 3.782 s
% 27.40/4.80 % Vampire exiting
%------------------------------------------------------------------------------