%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU256+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:48:02 PM UTC 2026
% Result : Theorem 7.03s 2.02s
% Output : Refutation 9.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of formulae : 102 ( 17 unt; 2 def)
% Number of atoms : 313 ( 26 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 364 ( 153 ~; 153 |; 43 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 156 ( 0 sgn 144 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ( well_founded_relation(X0)
<=> ! [X1] :
~ ( subset(X1,relation_field(X0))
& X1 != empty_set
& ! [X2] :
~ ( in(X2,X1)
& disjoint(fiber(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_wellord1) ).
fof(f14,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(f35,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f36,axiom,
! [X0,X1] :
( relation(X1)
=> ( subset(relation_field(relation_restriction(X1,X0)),relation_field(X1))
& subset(relation_field(relation_restriction(X1,X0)),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_wellord1) ).
fof(f37,axiom,
! [X0,X1,X2] :
( relation(X2)
=> subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_wellord1) ).
fof(f39,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f40,conjecture,
! [X0,X1] :
( relation(X1)
=> ( well_founded_relation(X1)
=> well_founded_relation(relation_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_wellord1) ).
fof(f41,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( well_founded_relation(X1)
=> well_founded_relation(relation_restriction(X1,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f43,axiom,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X0)
& in(X2,X1) ) )
& ~ ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
& disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f44,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f45,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f52,plain,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X0)
& in(X2,X1) ) )
& ~ ( ? [X3] :
( in(X3,X0)
& in(X3,X1) )
& disjoint(X0,X1) ) ),
inference(rectify,[],[f43]) ).
fof(f59,plain,
! [X0] :
( ( well_founded_relation(X0)
<=> ! [X1] :
( ~ subset(X1,relation_field(X0))
| empty_set = X1
| ? [X2] :
( in(X2,X1)
& disjoint(fiber(X0,X2),X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f62,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f67,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f35]) ).
fof(f68,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ( subset(relation_field(relation_restriction(X1,X0)),relation_field(X1))
& subset(relation_field(relation_restriction(X1,X0)),X0) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f70,plain,
! [X0,X1,X2] :
( subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f71,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f72,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
? [X0,X1] :
( ~ well_founded_relation(relation_restriction(X1,X0))
& well_founded_relation(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f74,plain,
? [X0,X1] :
( ~ well_founded_relation(relation_restriction(X1,X0))
& well_founded_relation(X1)
& relation(X1) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ? [X2] :
( in(X2,X0)
& in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) )
| ~ disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f76,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f77,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f82,plain,
! [X0] :
( ( ( well_founded_relation(X0)
| ? [X1] :
( subset(X1,relation_field(X0))
& empty_set != X1
& ! [X2] :
( ~ in(X2,X1)
| ~ disjoint(fiber(X0,X2),X1) ) ) )
& ( ! [X1] :
( ~ subset(X1,relation_field(X0))
| empty_set = X1
| ? [X2] :
( in(X2,X1)
& disjoint(fiber(X0,X2),X1) ) )
| ~ well_founded_relation(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f59]) ).
fof(f83,plain,
! [X0] :
( ( ( well_founded_relation(X0)
| ? [X1] :
( subset(X1,relation_field(X0))
& empty_set != X1
& ! [X2] :
( ~ in(X2,X1)
| ~ disjoint(fiber(X0,X2),X1) ) ) )
& ( ! [X3] :
( ~ subset(X3,relation_field(X0))
| empty_set = X3
| ? [X4] :
( in(X4,X3)
& disjoint(fiber(X0,X4),X3) ) )
| ~ well_founded_relation(X0) ) )
| ~ relation(X0) ),
inference(rectify,[],[f82]) ).
fof(f84,plain,
! [X0] :
( ( ( well_founded_relation(X0)
| ( subset(sK0(X0),relation_field(X0))
& empty_set != sK0(X0)
& ! [X2] :
( ~ in(X2,sK0(X0))
| ~ disjoint(fiber(X0,X2),sK0(X0)) ) ) )
& ( ! [X3] :
( ~ subset(X3,relation_field(X0))
| empty_set = X3
| ( in(sK1(X0,X3),X3)
& disjoint(fiber(X0,sK1(X0,X3)),X3) ) )
| ~ well_founded_relation(X0) ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X4,sK1(X0,X3))],[f83]) ).
fof(f91,plain,
( ~ well_founded_relation(relation_restriction(sK9,sK8))
& well_founded_relation(sK9)
& relation(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f74]) ).
fof(f92,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f93,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ( in(sK10(X0,X1),X0)
& in(sK10(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) )
| ~ disjoint(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f75]) ).
fof(f100,plain,
! [X3,X0] :
( disjoint(fiber(X0,sK1(X0,X3)),X3)
| empty_set = X3
| ~ subset(X3,relation_field(X0))
| ~ well_founded_relation(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f101,plain,
! [X3,X0] :
( in(sK1(X0,X3),X3)
| empty_set = X3
| ~ subset(X3,relation_field(X0))
| ~ well_founded_relation(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f102,plain,
! [X2,X0] :
( ~ disjoint(fiber(X0,X2),sK0(X0))
| ~ in(X2,sK0(X0))
| well_founded_relation(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f103,plain,
! [X0] :
( empty_set != sK0(X0)
| well_founded_relation(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f104,plain,
! [X0] :
( subset(sK0(X0),relation_field(X0))
| well_founded_relation(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f107,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f129,plain,
! [X0,X1] :
( subset(relation_field(relation_restriction(X1,X0)),relation_field(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f130,plain,
! [X2,X0,X1] :
( subset(fiber(relation_restriction(X2,X0),X1),fiber(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f132,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f133,plain,
relation(sK9),
inference(cnf_transformation,[],[f91]) ).
fof(f134,plain,
well_founded_relation(sK9),
inference(cnf_transformation,[],[f91]) ).
fof(f135,plain,
~ well_founded_relation(relation_restriction(sK9,sK8)),
inference(cnf_transformation,[],[f91]) ).
fof(f137,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f138,plain,
! [X3,X0,X1] :
( ~ disjoint(X0,X1)
| ~ in(X3,X1)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f139,plain,
! [X0,X1] :
( in(sK10(X0,X1),X1)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f140,plain,
! [X0,X1] :
( in(sK10(X0,X1),X0)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f77]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| ~ empty(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f146,definition,
sF11 = relation_restriction(sK9,sK8),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f147,plain,
relation_restriction(sK9,sK8) = sF11,
inference(reorient_equations,[],[f146]) ).
fof(f148,plain,
~ well_founded_relation(sF11),
inference(definition_folding,[],[f135,f147]) ).
fof(f149,plain,
! [X0] :
( subset(fiber(sF11,X0),fiber(sK9,X0))
| ~ relation(sK9) ),
inference(superposition,[],[f130,f147]) ).
fof(f150,plain,
! [X0] : subset(fiber(sF11,X0),fiber(sK9,X0)),
inference(forward_subsumption_resolution,[],[f149,f133]) ).
fof(f151,plain,
( relation(sF11)
| ~ relation(sK9) ),
inference(superposition,[],[f107,f147]) ).
fof(f152,plain,
relation(sF11),
inference(forward_subsumption_resolution,[],[f151,f133]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ in(X0,fiber(X2,sK1(X2,X1)))
| ~ in(X0,X1)
| empty_set = X1
| ~ subset(X1,relation_field(X2))
| ~ well_founded_relation(X2)
| ~ relation(X2) ),
inference(resolution,[],[f138,f100]) ).
fof(f157,plain,
( subset(relation_field(sF11),relation_field(sK9))
| ~ relation(sK9) ),
inference(superposition,[],[f129,f147]) ).
fof(f158,plain,
subset(relation_field(sF11),relation_field(sK9)),
inference(forward_subsumption_resolution,[],[f157,f133]) ).
fof(f163,plain,
! [X0] :
( ~ subset(X0,relation_field(sF11))
| subset(X0,relation_field(sK9)) ),
inference(resolution,[],[f127,f158]) ).
fof(f194,plain,
( subset(sK0(sF11),relation_field(sK9))
| well_founded_relation(sF11)
| ~ relation(sF11) ),
inference(resolution,[],[f163,f104]) ).
fof(f195,plain,
( subset(sK0(sF11),relation_field(sK9))
| ~ relation(sF11) ),
inference(forward_subsumption_resolution,[],[f194,f148]) ).
fof(f197,plain,
subset(sK0(sF11),relation_field(sK9)),
inference(forward_subsumption_resolution,[],[f195,f152]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X2,X0)
| element(X2,X1) ),
inference(resolution,[],[f137,f141]) ).
fof(f347,plain,
! [X0,X1] :
( ~ in(X0,fiber(sF11,X1))
| element(X0,fiber(sK9,X1)) ),
inference(resolution,[],[f335,f150]) ).
fof(f387,plain,
! [X0,X1] :
( element(sK10(fiber(sF11,X0),X1),fiber(sK9,X0))
| disjoint(fiber(sF11,X0),X1) ),
inference(resolution,[],[f347,f140]) ).
fof(f406,definition,
( spl12_4
<=> empty_set = sK0(sF11) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f407,plain,
( empty_set != sK0(sF11)
| spl12_4 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f408,plain,
( empty_set = sK0(sF11)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f421,plain,
( empty_set != empty_set
| well_founded_relation(sF11)
| ~ relation(sF11)
| ~ spl12_4 ),
inference(superposition,[],[f103,f408]) ).
fof(f423,plain,
( well_founded_relation(sF11)
| ~ relation(sF11)
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f421]) ).
fof(f425,plain,
( ~ relation(sF11)
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f423,f148]) ).
fof(f429,plain,
( $false
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f425,f152]) ).
fof(f430,plain,
~ spl12_4,
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f503,plain,
! [X0,X1] :
( in(sK10(fiber(sF11,X0),X1),fiber(sK9,X0))
| disjoint(fiber(sF11,X0),X1)
| empty(fiber(sK9,X0)) ),
inference(resolution,[],[f387,f132]) ).
fof(f521,plain,
! [X0,X1] :
( disjoint(fiber(sF11,sK1(sK9,X0)),X1)
| empty(fiber(sK9,sK1(sK9,X0)))
| ~ in(sK10(fiber(sF11,sK1(sK9,X0)),X1),X0)
| empty_set = X0
| ~ subset(X0,relation_field(sK9))
| ~ well_founded_relation(sK9)
| ~ relation(sK9) ),
inference(resolution,[],[f503,f156]) ).
fof(f526,plain,
! [X0,X1] :
( disjoint(fiber(sF11,sK1(sK9,X0)),X1)
| empty(fiber(sK9,sK1(sK9,X0)))
| ~ in(sK10(fiber(sF11,sK1(sK9,X0)),X1),X0)
| empty_set = X0
| ~ subset(X0,relation_field(sK9))
| ~ relation(sK9) ),
inference(forward_subsumption_resolution,[],[f521,f134]) ).
fof(f527,plain,
! [X0,X1] :
( ~ in(sK10(fiber(sF11,sK1(sK9,X0)),X1),X0)
| empty(fiber(sK9,sK1(sK9,X0)))
| disjoint(fiber(sF11,sK1(sK9,X0)),X1)
| empty_set = X0
| ~ subset(X0,relation_field(sK9)) ),
inference(forward_subsumption_resolution,[],[f526,f133]) ).
fof(f793,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(resolution,[],[f142,f137]) ).
fof(f814,plain,
! [X0,X1] :
( ~ in(X1,fiber(sF11,X0))
| ~ empty(fiber(sK9,X0)) ),
inference(resolution,[],[f793,f150]) ).
fof(f835,plain,
! [X0,X1] :
( disjoint(fiber(sF11,X0),X1)
| ~ empty(fiber(sK9,X0)) ),
inference(resolution,[],[f814,f140]) ).
fof(f1211,plain,
! [X0] :
( empty(fiber(sK9,sK1(sK9,X0)))
| disjoint(fiber(sF11,sK1(sK9,X0)),X0)
| empty_set = X0
| ~ subset(X0,relation_field(sK9))
| disjoint(fiber(sF11,sK1(sK9,X0)),X0) ),
inference(resolution,[],[f527,f139]) ).
fof(f1222,plain,
! [X0] :
( empty(fiber(sK9,sK1(sK9,X0)))
| disjoint(fiber(sF11,sK1(sK9,X0)),X0)
| empty_set = X0
| ~ subset(X0,relation_field(sK9)) ),
inference(duplicate_literal_removal,[],[f1211]) ).
fof(f1228,plain,
! [X0] :
( disjoint(fiber(sF11,sK1(sK9,X0)),X0)
| empty_set = X0
| ~ subset(X0,relation_field(sK9)) ),
inference(forward_subsumption_resolution,[],[f1222,f835]) ).
fof(f1250,plain,
( empty_set = sK0(sF11)
| ~ subset(sK0(sF11),relation_field(sK9))
| ~ in(sK1(sK9,sK0(sF11)),sK0(sF11))
| well_founded_relation(sF11)
| ~ relation(sF11) ),
inference(resolution,[],[f1228,f102]) ).
fof(f1253,plain,
( ~ subset(sK0(sF11),relation_field(sK9))
| ~ in(sK1(sK9,sK0(sF11)),sK0(sF11))
| well_founded_relation(sF11)
| ~ relation(sF11) ),
inference(forward_subsumption_resolution,[],[f1250,f103]) ).
fof(f1254,plain,
( ~ in(sK1(sK9,sK0(sF11)),sK0(sF11))
| well_founded_relation(sF11)
| ~ relation(sF11) ),
inference(forward_subsumption_resolution,[],[f1253,f197]) ).
fof(f1255,plain,
( ~ in(sK1(sK9,sK0(sF11)),sK0(sF11))
| ~ relation(sF11) ),
inference(forward_subsumption_resolution,[],[f1254,f148]) ).
fof(f1256,plain,
~ in(sK1(sK9,sK0(sF11)),sK0(sF11)),
inference(forward_subsumption_resolution,[],[f1255,f152]) ).
fof(f1257,plain,
( empty_set = sK0(sF11)
| ~ subset(sK0(sF11),relation_field(sK9))
| ~ well_founded_relation(sK9)
| ~ relation(sK9) ),
inference(resolution,[],[f1256,f101]) ).
fof(f1258,plain,
( ~ subset(sK0(sF11),relation_field(sK9))
| ~ well_founded_relation(sK9)
| ~ relation(sK9)
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f1257,f407]) ).
fof(f1259,plain,
( ~ well_founded_relation(sK9)
| ~ relation(sK9)
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f1258,f197]) ).
fof(f1260,plain,
( ~ relation(sK9)
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f1259,f134]) ).
fof(f1261,plain,
( $false
| spl12_4 ),
inference(forward_subsumption_resolution,[],[f1260,f133]) ).
fof(f1262,plain,
spl12_4,
inference(avatar_contradiction_clause,[],[f1261]) ).
cnf(s4,plain,
~ spl12_4,
inference(sat_conversion,[],[f430]) ).
cnf(s31,plain,
spl12_4,
inference(sat_conversion,[],[f1262]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s4,s31]) ).
fof(f1263,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU256+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.34 % Computer : n011.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Mon Sep 28 04:21:01 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 7.03/2.02 % (3013369)Detected formulas, will run a generic FOF schedule.
% 7.03/2.02 % (3013378)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1122134970:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.03/2.02 % (3013378)Refutation not found, incomplete strategy
% 7.03/2.02 % (3013378)------------------------------
% 7.03/2.02 % (3013378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013378)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013378)Termination reason: Refutation not found, incomplete strategy
% 7.03/2.02 % (3013378)Time elapsed: 0.002 s
% 7.03/2.02 % (3013378)Peak memory usage: 88 MB
% 7.03/2.02 % (3013378)Instructions burned: 5 (million)
% 7.03/2.02 % (3013379)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1000888450:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.03/2.02 % (3013376)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=1319509828:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.03/2.02 % (3013377)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1374793665:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.03/2.02 % (3013375)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=3940864729:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.03/2.02 % (3013380)dis-21_1_sil=8000:lcm=predicate:random_seed=3629519920: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)
% 7.03/2.02 % (3013374)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=3695449534:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.03/2.02 % (3013377)Refutation not found, incomplete strategy
% 7.03/2.02 % (3013377)------------------------------
% 7.03/2.02 % (3013377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013377)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013377)Termination reason: Refutation not found, incomplete strategy
% 7.03/2.02 % (3013377)Time elapsed: 0.001 s
% 7.03/2.02 % (3013377)Peak memory usage: 88 MB
% 7.03/2.02 % (3013380)Instruction limit reached!
% 7.03/2.02 % (3013380)------------------------------
% 7.03/2.02 % (3013380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013380)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013380)Termination reason: Instruction limit
% 7.03/2.02 % (3013380)Termination phase: Saturation
% 7.03/2.02 % (3013380)Time elapsed: 0.081 s
% 7.03/2.02 % (3013380)Peak memory usage: 89 MB
% 7.03/2.02 % (3013380)Instructions burned: 130 (million)
% 7.03/2.02 % (3013379)Instruction limit reached!
% 7.03/2.02 % (3013379)------------------------------
% 7.03/2.02 % (3013379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013379)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013379)Termination reason: Instruction limit
% 7.03/2.02 % (3013379)Termination phase: Saturation
% 7.03/2.02 % (3013379)Time elapsed: 0.106 s
% 7.03/2.02 % (3013379)Peak memory usage: 90 MB
% 7.03/2.02 % (3013379)Instructions burned: 139 (million)
% 7.03/2.02 % (3013378)------------------------------
% 7.03/2.02 % (3013378)------------------------------
% 7.03/2.02 % (3013388)lrs+10_1_sil=8000:sp=occurrence:random_seed=511781698:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.03/2.02 % (3013390)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2703329278:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.03/2.02 % (3013390)Refutation not found, incomplete strategy
% 7.03/2.02 % (3013390)------------------------------
% 7.03/2.02 % (3013390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013390)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013390)Termination reason: Refutation not found, incomplete strategy
% 7.03/2.02 % (3013390)Time elapsed: 0.001 s
% 7.03/2.02 % (3013390)Peak memory usage: 88 MB
% 7.03/2.02 % (3013390)Instructions burned: 1 (million)
% 7.03/2.02 % (3013389)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4160526368:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.03/2.02 % (3013377)------------------------------
% 7.03/2.02 % (3013377)------------------------------
% 7.03/2.02 % (3013389)Instruction limit reached!
% 7.03/2.02 % (3013389)------------------------------
% 7.03/2.02 % (3013389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013389)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013389)Termination reason: Instruction limit
% 7.03/2.02 % (3013389)Termination phase: Saturation
% 7.03/2.02 % (3013389)Time elapsed: 0.088 s
% 7.03/2.02 % (3013389)Peak memory usage: 89 MB
% 7.03/2.02 % (3013389)Instructions burned: 158 (million)
% 7.03/2.02 % (3013390)------------------------------
% 7.03/2.02 % (3013390)------------------------------
% 7.03/2.02 % (3013394)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=2447348689:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.03/2.02 % (3013388)Instruction limit reached!
% 7.03/2.02 % (3013388)------------------------------
% 7.03/2.02 % (3013388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013388)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013388)Termination reason: Instruction limit
% 7.03/2.02 % (3013388)Termination phase: Saturation
% 7.03/2.02 % (3013388)Time elapsed: 0.184 s
% 7.03/2.02 % (3013388)Peak memory usage: 92 MB
% 7.03/2.02 % (3013388)Instructions burned: 286 (million)
% 7.03/2.02 % (3013396)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=797101048:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.03/2.02 % (3013395)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4039344080:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.03/2.02 % (3013395)Refutation not found, incomplete strategy
% 7.03/2.02 % (3013395)------------------------------
% 7.03/2.02 % (3013395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013395)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013395)Termination reason: Refutation not found, incomplete strategy
% 7.03/2.02 % (3013395)Time elapsed: 0.002 s
% 7.03/2.02 % (3013395)Peak memory usage: 88 MB
% 7.03/2.02 % (3013395)Instructions burned: 1 (million)
% 7.03/2.02 % (3013398)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3415097579:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.03/2.02 % (3013394)Instruction limit reached!
% 7.03/2.02 % (3013394)------------------------------
% 7.03/2.02 % (3013394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013394)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013394)Termination reason: Instruction limit
% 7.03/2.02 % (3013394)Termination phase: Saturation
% 7.03/2.02 % (3013394)Time elapsed: 0.154 s
% 7.03/2.02 % (3013394)Peak memory usage: 92 MB
% 7.03/2.02 % (3013394)Instructions burned: 249 (million)
% 7.03/2.02 % (3013398)Instruction limit reached!
% 7.03/2.02 % (3013398)------------------------------
% 7.03/2.02 % (3013398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013398)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013398)Termination reason: Instruction limit
% 7.03/2.02 % (3013398)Termination phase: Saturation
% 7.03/2.02 % (3013398)Time elapsed: 0.085 s
% 7.03/2.02 % (3013398)Peak memory usage: 90 MB
% 7.03/2.02 % (3013398)Instructions burned: 113 (million)
% 7.03/2.02 % (3013402)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=320586687:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.03/2.02 % (3013395)------------------------------
% 7.03/2.02 % (3013395)------------------------------
% 7.03/2.02 % (3013402)Instruction limit reached!
% 7.03/2.02 % (3013402)------------------------------
% 7.03/2.02 % (3013402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013402)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013402)Termination reason: Instruction limit
% 7.03/2.02 % (3013402)Termination phase: Saturation
% 7.03/2.02 % (3013402)Time elapsed: 0.064 s
% 7.03/2.02 % (3013402)Peak memory usage: 89 MB
% 7.03/2.02 % (3013402)Instructions burned: 128 (million)
% 7.03/2.02 % (3013403)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1289403719:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.03/2.02 % (3013374)First to succeed.
% 7.03/2.02 % (3013374)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3013369"
% 7.03/2.02 % (3013403)Instruction limit reached!
% 7.03/2.02 % (3013403)------------------------------
% 7.03/2.02 % (3013403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013403)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013403)Termination reason: Instruction limit
% 7.03/2.02 % (3013403)Termination phase: Saturation
% 7.03/2.02 % (3013403)Time elapsed: 0.063 s
% 7.03/2.02 % (3013403)Peak memory usage: 89 MB
% 7.03/2.02 % (3013403)Instructions burned: 115 (million)
% 7.03/2.02 % (3013405)lrs+10_1_sil=8000:sp=occurrence:random_seed=319225027:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.03/2.02 % (3013406)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1207744095:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.03/2.02 % (3013406)Refutation not found, incomplete strategy
% 7.03/2.02 % (3013406)------------------------------
% 7.03/2.02 % (3013406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/2.02 % (3013406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/2.02 % (3013406)CaDiCaL version: 2.1.3
% 7.03/2.02 % (3013406)Termination reason: Refutation not found, incomplete strategy
% 7.03/2.02 % (3013406)Time elapsed: 0.002 s
% 7.03/2.02 % (3013406)Peak memory usage: 88 MB
% 7.03/2.02 % (3013406)Instructions burned: 2 (million)
% 7.03/2.02 % (3013408)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3242773010:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.03/2.02 % (3013374)Refutation found. Thanks to Tanya!
% 7.03/2.02 % SZS status Theorem for theBenchmark
% 7.03/2.02 % SZS output start Proof for theBenchmark
% See solution above
% 9.15/2.21 % (3013374)------------------------------
% 9.15/2.21 % (3013374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.21 % (3013374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.21 % (3013374)CaDiCaL version: 2.1.3
% 9.15/2.21 % (3013374)Termination reason: Refutation
% 9.15/2.21 % (3013374)Time elapsed: 0.808 s
% 9.15/2.21 % (3013374)Peak memory usage: 131 MB
% 9.15/2.21 % (3013374)Instructions burned: 1172 (million)
% 9.15/2.21 % (3013374)------------------------------
% 9.15/2.21 % (3013374)------------------------------
% 9.15/2.21 % (3013369)Success in time 1.209 s
% 9.15/2.21 % Vampire exiting
%------------------------------------------------------------------------------