%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU262+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 : n008.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 12:48:03 PM UTC 2026
% Result : Theorem 5.20s 1.67s
% Output : Refutation 6.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 86 ( 16 unt; 4 def)
% Number of atoms : 261 ( 26 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 289 ( 114 ~; 120 |; 34 &)
% ( 14 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 5 con; 0-2 aty)
% Number of variables : 186 ( 0 sgn 165 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f18,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f28,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f29,conjecture,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f33,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f41,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f42,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f45,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f46,plain,
? [X0,X1,X2] :
( ( ~ subset(relation_dom(X2),X0)
| ~ subset(relation_rng(X2),X1) )
& relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f56,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f57,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f57]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f43]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f59]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK1(X0,X1),X3),X0)
| ~ in(sK1(X0,X1),X1) )
& ( in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK3(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f60]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f44]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK4(X0,X1)),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK5(X0,X1),sK4(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X4,sK5(X0,X1)),skolemize(X7,sK6(X0,X5))],[f63]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
( ( ~ subset(relation_dom(sK14),sK12)
| ~ subset(relation_rng(sK14),sK13) )
& relation_of2_as_subset(sK14,sK12,sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14)],[f46]) ).
fof(f74,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f78,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f79,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f80,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f81,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK3(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f85,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f89,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f90,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( in(X1,X3)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f104,plain,
relation_of2_as_subset(sK14,sK12,sK13),
inference(cnf_transformation,[],[f73]) ).
fof(f105,plain,
( ~ subset(relation_dom(sK14),sK12)
| ~ subset(relation_rng(sK14),sK13) ),
inference(cnf_transformation,[],[f73]) ).
fof(f108,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f118,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f81,f89]) ).
fof(f122,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f85,f89]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(definition_unfolding,[],[f102,f89]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(definition_unfolding,[],[f101,f89]) ).
fof(f128,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f118]) ).
fof(f130,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f122]) ).
fof(f131,definition,
sF15 = relation_dom(sK14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f132,plain,
relation_dom(sK14) = sF15,
inference(reorient_equations,[],[f131]) ).
fof(f133,definition,
sF16 = relation_rng(sK14),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f134,plain,
relation_rng(sK14) = sF16,
inference(reorient_equations,[],[f133]) ).
fof(f135,plain,
( ~ subset(sF15,sK12)
| ~ subset(sF16,sK13) ),
inference(definition_folding,[],[f105,f134,f132]) ).
fof(f137,definition,
( spl17_1
<=> subset(sF16,sK13) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f139,plain,
( ~ subset(sF16,sK13)
| spl17_1 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f141,definition,
( spl17_2
<=> subset(sF15,sK12) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f143,plain,
( ~ subset(sF15,sK12)
| spl17_2 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( ~ spl17_1
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f135,f141,f137]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f76,f90]) ).
fof(f191,plain,
relation(sK14),
inference(resolution,[],[f190,f104]) ).
fof(f259,plain,
! [X2,X0,X1] :
( subset(X0,cartesian_product2(X1,X2))
| ~ relation_of2_as_subset(X0,X1,X2) ),
inference(resolution,[],[f108,f90]) ).
fof(f260,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| ~ in(X3,X0)
| in(X3,cartesian_product2(X1,X2)) ),
inference(resolution,[],[f259,f78]) ).
fof(f261,plain,
! [X0] :
( in(X0,cartesian_product2(sK12,sK13))
| ~ in(X0,sK14) ),
inference(resolution,[],[f260,f104]) ).
fof(f263,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK14)
| in(X0,sK12) ),
inference(resolution,[],[f261,f125]) ).
fof(f264,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK14)
| in(X1,sK13) ),
inference(resolution,[],[f261,f126]) ).
fof(f309,plain,
! [X0] :
( in(X0,sK13)
| ~ in(X0,relation_rng(sK14))
| ~ relation(sK14) ),
inference(resolution,[],[f264,f130]) ).
fof(f314,plain,
! [X0] :
( in(X0,sK13)
| ~ in(X0,relation_rng(sK14)) ),
inference(forward_subsumption_resolution,[],[f309,f191]) ).
fof(f316,plain,
! [X0] :
( ~ in(X0,sF16)
| in(X0,sK13) ),
inference(forward_demodulation,[],[f314,f134]) ).
fof(f323,plain,
! [X0] :
( in(sK0(sF16,X0),sK13)
| subset(sF16,X0) ),
inference(resolution,[],[f316,f79]) ).
fof(f349,plain,
( subset(sF16,sK13)
| subset(sF16,sK13) ),
inference(resolution,[],[f323,f80]) ).
fof(f351,plain,
subset(sF16,sK13),
inference(duplicate_literal_removal,[],[f349]) ).
fof(f360,plain,
( $false
| spl17_1 ),
inference(forward_subsumption_resolution,[],[f351,f139]) ).
fof(f361,plain,
spl17_1,
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f364,plain,
! [X0] :
( in(X0,sK12)
| ~ in(X0,relation_dom(sK14))
| ~ relation(sK14) ),
inference(resolution,[],[f263,f128]) ).
fof(f371,plain,
! [X0] :
( in(X0,sK12)
| ~ in(X0,relation_dom(sK14)) ),
inference(forward_subsumption_resolution,[],[f364,f191]) ).
fof(f373,plain,
! [X0] :
( ~ in(X0,sF15)
| in(X0,sK12) ),
inference(forward_demodulation,[],[f371,f132]) ).
fof(f379,plain,
! [X0] :
( in(sK0(sF15,X0),sK12)
| subset(sF15,X0) ),
inference(resolution,[],[f373,f79]) ).
fof(f405,plain,
( subset(sF15,sK12)
| subset(sF15,sK12) ),
inference(resolution,[],[f379,f80]) ).
fof(f407,plain,
subset(sF15,sK12),
inference(duplicate_literal_removal,[],[f405]) ).
fof(f416,plain,
( $false
| spl17_2 ),
inference(forward_subsumption_resolution,[],[f407,f143]) ).
fof(f417,plain,
spl17_2,
inference(avatar_contradiction_clause,[],[f416]) ).
cnf(s1,plain,
( ~ spl17_1
| ~ spl17_2 ),
inference(sat_conversion,[],[f144]) ).
cnf(s17,plain,
spl17_1,
inference(sat_conversion,[],[f361]) ).
cnf(s24,plain,
spl17_2,
inference(sat_conversion,[],[f417]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s1,s24,s17]) ).
fof(f418,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU262+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n008.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:23:24 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 5.20/1.67 % (1867611)Detected formulas, will run a generic FOF schedule.
% 5.20/1.67 % (1867616)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=3444726366:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.20/1.67 % (1867617)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=3812217493:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.20/1.67 % (1867622)dis-21_1_sil=8000:lcm=predicate:random_seed=3281767205: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)
% 5.20/1.67 % (1867619)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3228398589:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.20/1.67 % (1867620)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1482972403:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.20/1.67 % (1867618)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=1156253835:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.20/1.67 % (1867621)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3560287900:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.20/1.67 % (1867619)Refutation not found, incomplete strategy
% 5.20/1.67 % (1867619)------------------------------
% 5.20/1.67 % (1867619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.67 % (1867619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.67 % (1867619)CaDiCaL version: 2.1.3
% 5.20/1.67 % (1867619)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.67 % (1867619)Time elapsed: 0.001 s
% 5.20/1.67 % (1867619)Peak memory usage: 88 MB
% 5.20/1.67 % (1867620)Instruction limit reached!
% 5.20/1.67 % (1867620)------------------------------
% 5.20/1.67 % (1867620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.67 % (1867620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.67 % (1867620)CaDiCaL version: 2.1.3
% 5.20/1.67 % (1867620)Termination reason: Instruction limit
% 5.20/1.67 % (1867620)Termination phase: Saturation
% 5.20/1.67 % (1867620)Time elapsed: 0.070 s
% 5.20/1.67 % (1867620)Peak memory usage: 88 MB
% 5.20/1.67 % (1867620)Instructions burned: 119 (million)
% 5.20/1.67 % (1867622)Instruction limit reached!
% 5.20/1.67 % (1867622)------------------------------
% 5.20/1.67 % (1867622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.67 % (1867622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.67 % (1867622)CaDiCaL version: 2.1.3
% 5.20/1.67 % (1867622)Termination reason: Instruction limit
% 5.20/1.67 % (1867622)Termination phase: Saturation
% 5.20/1.67 % (1867622)Time elapsed: 0.072 s
% 5.20/1.67 % (1867622)Peak memory usage: 89 MB
% 5.20/1.67 % (1867622)Instructions burned: 129 (million)
% 5.20/1.67 % (1867621)Instruction limit reached!
% 5.20/1.67 % (1867621)------------------------------
% 5.20/1.67 % (1867621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.67 % (1867621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.67 % (1867621)CaDiCaL version: 2.1.3
% 5.20/1.67 % (1867621)Termination reason: Instruction limit
% 5.20/1.67 % (1867621)Termination phase: Saturation
% 5.20/1.67 % (1867621)Time elapsed: 0.096 s
% 5.20/1.67 % (1867621)Peak memory usage: 90 MB
% 5.20/1.67 % (1867621)Instructions burned: 141 (million)
% 5.20/1.67 % (1867630)lrs+10_1_sil=8000:sp=occurrence:random_seed=2917397713:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.20/1.67 % (1867631)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2745338111:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.20/1.67 % (1867631)Refutation not found, incomplete strategy
% 5.20/1.67 % (1867631)------------------------------
% 5.20/1.67 % (1867631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.67 % (1867631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.67 % (1867631)CaDiCaL version: 2.1.3
% 5.20/1.67 % (1867631)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.67 % (1867631)Time elapsed: 0.002 s
% 5.20/1.67 % (1867631)Peak memory usage: 88 MB
% 5.20/1.67 % (1867631)Instructions burned: 1 (million)
% 5.20/1.67 % (1867619)------------------------------
% 5.20/1.67 % (1867619)------------------------------
% 5.20/1.67 % (1867632)lrs+1011_1_sil=32000:sp=occurrence:random_seed=516883909:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.20/1.67 % (1867632)Instruction limit reached!
% 5.20/1.67 % (1867632)------------------------------
% 5.20/1.67 % (1867632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.67 % (1867632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.67 % (1867632)CaDiCaL version: 2.1.3
% 5.20/1.67 % (1867632)Termination reason: Instruction limit
% 5.20/1.67 % (1867632)Termination phase: Saturation
% 5.20/1.67 % (1867632)Time elapsed: 0.111 s
% 5.20/1.67 % (1867632)Peak memory usage: 88 MB
% 5.20/1.67 % (1867632)Instructions burned: 329 (million)
% 5.20/1.67 % (1867616)First to succeed.
% 5.20/1.67 % (1867616)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1867611"
% 5.20/1.67 % (1867636)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=2153012098:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.20/1.67 % (1867630)Instruction limit reached!
% 5.20/1.67 % (1867630)------------------------------
% 5.20/1.67 % (1867630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.67 % (1867630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.67 % (1867630)CaDiCaL version: 2.1.3
% 5.20/1.67 % (1867630)Termination reason: Instruction limit
% 5.20/1.67 % (1867630)Termination phase: Saturation
% 5.20/1.67 % (1867630)Time elapsed: 0.175 s
% 5.20/1.67 % (1867630)Peak memory usage: 91 MB
% 5.20/1.67 % (1867630)Instructions burned: 286 (million)
% 5.20/1.67 % (1867636)Also succeeded, but the first one will report.
% 5.20/1.67 % (1867631)------------------------------
% 5.20/1.67 % (1867631)------------------------------
% 5.20/1.67 % (1867637)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2036575597:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.20/1.67 % (1867637)Refutation not found, incomplete strategy
% 5.20/1.67 % (1867637)------------------------------
% 5.20/1.67 % (1867637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.20/1.67 % (1867637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.67 % (1867637)CaDiCaL version: 2.1.3
% 5.20/1.67 % (1867637)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.67 % (1867637)Time elapsed: 0.002 s
% 5.20/1.67 % (1867637)Peak memory usage: 88 MB
% 5.20/1.67 % (1867637)Instructions burned: 2 (million)
% 5.20/1.67 % (1867639)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=45694453:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.20/1.67 % (1867616)Refutation found. Thanks to Tanya!
% 5.20/1.67 % SZS status Theorem for theBenchmark
% 5.20/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 6.28/1.87 % (1867616)------------------------------
% 6.28/1.87 % (1867616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.28/1.87 % (1867616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.28/1.87 % (1867616)CaDiCaL version: 2.1.3
% 6.28/1.87 % (1867616)Termination reason: Refutation
% 6.28/1.87 % (1867616)Time elapsed: 0.408 s
% 6.28/1.87 % (1867616)Peak memory usage: 130 MB
% 6.28/1.87 % (1867616)Instructions burned: 952 (million)
% 6.28/1.87 % (1867616)------------------------------
% 6.28/1.87 % (1867616)------------------------------
% 6.28/1.87 % (1867611)Success in time 0.808 s
% 6.28/1.87 % Vampire exiting
%------------------------------------------------------------------------------